Magic State Factory Catalog

[\![1345,\,1,\,3]\!] factory

\mathrm{T}_{0}

distance, proved here
3\le d\le 21 certified 21
error coefficient
—
\gamma_\rho
2.3663†
V_{\mathrm{ex}}
1
wires
N=342
Clifford correction
none with T powers
found by
pre-existing pure T

The circuit

The 342\times1345 matrix. Rows are wires and columns are rotations. A 1 means the wire takes part in the rotation, and the number beside each wire is its row weight. Scroll sideways to see every column.

  • output wires
  • check wires, measured and postselected
wire
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 1000 1010 1020 1030 1040 1050 1060 1070 1080 1090 1100 1110 1120 1130 1140 1150 1160 1170 1180 1190 1200 1210 1220 1230 1240 1250 1260 1270 1280 1290 1300 1310 1320 1330 1340
out 0 (1345)1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 1 (112)1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 2 (88)11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1·················································································11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 3 (88)·11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1·················································································11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 4 (88)··11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1·················································································11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 5 (72)1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1··············································································1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1·································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 6 (72)·1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1··············································································1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 7 (96)1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1············································································1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1·······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 8 (96)·1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1············································································1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 9 (88)1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1··········································································1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1·····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 10 (88)·1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1··········································································1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 11 (80)1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1········································································1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1···························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 12 (80)·1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1········································································1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1··························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 13 (88)1···11··1111·1···1·1··111·1·1··11···1····111·1···1·1·1111·1·1·····1·111·11··11·11111············1······································································1···11··1111·1···1·1··111·1·1··11···1····111·1···1·1·1111·1·1·····1·111·11··11·11111············1·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 14 (80)111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 15 (80)·111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 16 (80)··111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 17 (80)···111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 18 (88)1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1·································································1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 19 (88)·1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1·································································1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 20 (80)1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 21 (80)·1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 22 (80)··1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 23 (80)···1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 24 (96)1·1··1111········1·1·111·11·111111··11·11··1·1···111·1111·1·11·11·111···11·11··1·1·1·······················1···························································1·1··1111········1·1·111·11·111111··11·11··1·1···111·1111·1·11·11·111···11·11··1·1·1·······················1··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 25 (80)111111····111·1··1·1··1·1·111···11·1··1···11111·111····1·······1·····11·1·····1111·1························1··························································111111····111·1··1·1··1·1·111···11·1··1···11111·111····1·······1·····11·1·····1111·1························1·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 26 (96)11·1···1111··111·1·1·····1·1··11·1·111·1111·1·111·1·1·1··1·1·111·1·11··11·1·111·1··1·························1·························································11·1···1111··111·1·1·····1·1··11·1·111·1111·1·111·1·1·1··1·1·111·1·11··11·1·111·1··1·························1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 27 (80)11···111····1··111·1···1··1··11·1··11·1········1····1111111111···111·11···111·····11··························1························································11···111····1··111·1···1··1··11·1··11·1········1····1111111111···111·11···111·····11··························1···········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 28 (96)11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1·······················································11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 29 (96)·11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1·······················································11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 30 (88)1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1·····················································1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 31 (88)·1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1·····················································1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 32 (80)1···1···11····11····111··1·1·1·1··11111··1·1·11·1·1·1··11·11····1·11··1··1··1·111··1·······························1···················································1···1···11····11····111··1·1·1·1··11111··1·1·11·1·1·1··11·11····1·11··1··1··1·111··1·······························1······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 33 (104)111·1·111··11·111111111···1··1·11·1·1·1111·111111···111·····11111·····1111··1·1·1·11································1··················································111·1·111··11·111111111···1··1·11·1·1·1111·111111···111·····11111·····1111··1·1·1·11································1·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 34 (80)11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1·················································11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 35 (80)·11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1·················································11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 36 (88)1··11··1·111·1111··11···1···1····1··11··1·11··1····111·11·1···1111·111····1·11·11111···································1···············································1··11··1·111·1111··11···1···1····1··11··1·11··1····111·11·1···1111·111····1·11·11111···································1··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 37 (80)111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1·································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 38 (80)·111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 39 (80)··111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1·······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 40 (80)···111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 41 (88)1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1··········································1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1·····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 42 (88)·1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1··········································1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 43 (80)1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1········································1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1···························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 44 (80)·1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1········································1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1··························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 45 (80)··1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1········································1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 46 (88)1·111111····1·11·1···1·1··1111······111··1···1··1·11···11·11···11··111···11111111··1·············································1·····································1·111111····1·11·1···1·1··1111······111··1···1··1·11···11·11···11··111···11111111··1·············································1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 47 (88)1111·····111111111·11·111··1···1··11··1111·1·11·1·····1·····1111···1·1··11·1····1·11··············································1····································1111·····111111111·11·111··1···1··11··1111·1·11·1·····1·····1111···1·1··11·1····1·11··············································1·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 48 (88)11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1···································11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 49 (88)·11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1···································11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 50 (96)1··11·1·····1·11···111····11111·11·111111·11··11··1111····1···1111··111·11··111·1·11·················································1·································1··11·1·····1·11···111····11111·11·111111·11··11··1111····1···1111··111·11··111·1·11·················································1····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 51 (88)111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1································111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 52 (88)·111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1································111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 53 (88)1··1·111·1···1·11····1··11··1·11··1···1···1111111···1·11111··11··1·1·1·11···11·1·111····················································1······························1··1·111·1···1·11····1··11··1·11··1···1···1111111···1·11111··11··1·1·1·11···11·1·111····················································1·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 54 (88)111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1·····························111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 55 (88)·111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1·····························111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 56 (88)··111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1·····························111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 57 (80)1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1··························1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 58 (80)·1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1··························1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 59 (80)··1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1··························1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1···········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 60 (96)1·111··11··1·1···1·1·1··11····11·1111···111111·1111·11·11111···11·11··1··111··1···11···························································1·······················1·111··11··1·1···1·1·1··11····11·1111···111111·1111·11·11111···11·11··1··111··1···11···························································1··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 61 (80)1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1······················1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 62 (80)·1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1······················1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 63 (88)1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1····················1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 64 (88)·1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1····················1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 65 (80)1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1··················1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 66 (80)·1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1··················1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 67 (80)··1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1··················1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 68 (80)1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1···············1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 69 (80)·1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1···············1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1·································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 70 (80)··1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1···············1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 71 (88)1·111·····1·1··1111·1··11·1··111··111·1···1·1111·1···1··1·11·1111·1···1·11····11··11······································································1············1·111·····1·1··1111·1··11·1··111··111·1···1·1111·1···1··1·11·1111·1···1·11····11··11······································································1·······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 72 (96)1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1···········1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 73 (96)·1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1···········1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1·····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 74 (72)1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1·········1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 75 (72)·1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1·········1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1···························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 76 (72)··1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1·········1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1··························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 77 (80)1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1······1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 78 (80)·1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1······1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 79 (80)1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1····1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 80 (80)·1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1····1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 81 (80)··1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1····1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 82 (112)1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 83 (112)·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································
check 84 (48)··············································································································································································································································································································································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111·······················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 85 (56)··············································································································································································································································································································································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·················································111··1··111111··1·1··11···1··1···111···1··11·11·111··1······················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 86 (56)···············································································································································································································································································································································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·················································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·····················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 87 (48)··············································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1····················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 88 (48)···············································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 89 (48)················································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1··················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 90 (48)·················································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1·················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 91 (48)··················································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1················································································································································································································································································································································································································································································································································································································································································································································································································································································
check 92 (64)··············································································································································································································································································································································1·1111··1·1··1···1111·11·1·1·1·111·1·1····11·1111111········1··········································1·1111··1·1··1···1111·11·1·1·1·111·1·1····11·1111111········1···············································································································································································································································································································································································································································································································································································································································································································································································································································································
check 93 (64)··············································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1··············································································································································································································································································································································································································································································································································································································································································································································································································································································
check 94 (64)···············································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·············································································································································································································································································································································································································································································································································································································································································································································································································································································
check 95 (64)················································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1············································································································································································································································································································································································································································································································································································································································································································································································································································································
check 96 (48)··············································································································································································································································································································································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1······································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1···········································································································································································································································································································································································································································································································································································································································································································································································································································································
check 97 (56)··············································································································································································································································································································································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1·····································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1··········································································································································································································································································································································································································································································································································································································································································································································································································································································
check 98 (56)··············································································································································································································································································································································11··11·1111····1·1······111··11·1111··11···1111···11··············1····································11··11·1111····1·1······111··11·1111··11···1111···11··············1·········································································································································································································································································································································································································································································································································································································································································································································································································································································
check 99 (56)··············································································································································································································································································································································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1···································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1········································································································································································································································································································································································································································································································································································································································································································································································································································································
check 100 (56)···············································································································································································································································································································································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1···································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1·······································································································································································································································································································································································································································································································································································································································································································································································································································································
check 101 (64)··············································································································································································································································································································································1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1·································1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1······································································································································································································································································································································································································································································································································································································································································································································································································································································
check 102 (64)··············································································································································································································································································································································11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1································11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1·····································································································································································································································································································································································································································································································································································································································································································································································································································································
check 103 (56)··············································································································································································································································································································································11···111··11··11···1···1·11·111·11·1·1··11···1·1·111···················1·······························11···111··11··11···1···1·11·111·11·1·1··11···1·1·111···················1····································································································································································································································································································································································································································································································································································································································································································································································································································································
check 104 (48)··············································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1···································································································································································································································································································································································································································································································································································································································································································································································································································································
check 105 (48)···············································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1··································································································································································································································································································································································································································································································································································································································································································································································································································································
check 106 (48)················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1·································································································································································································································································································································································································································································································································································································································································································································································································································································
check 107 (48)·················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1································································································································································································································································································································································································································································································································································································································································································································································································································································
check 108 (48)··················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1·······························································································································································································································································································································································································································································································································································································································································································································································································································································
check 109 (48)···················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························································································································································································································································································································································································································································································································································································································································································································································································································································
check 110 (48)··············································································································································································································································································································································1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1························1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1·····························································································································································································································································································································································································································································································································································································································································································································································································································································
check 111 (48)···············································································································································································································································································································································1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1························1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1····························································································································································································································································································································································································································································································································································································································································································································································································································································
check 112 (56)··············································································································································································································································································································································1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1······················1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1···························································································································································································································································································································································································································································································································································································································································································································································································································································
check 113 (48)··············································································································································································································································································································································1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1·····················1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1··························································································································································································································································································································································································································································································································································································································································································································································································································································
check 114 (48)··············································································································································································································································································································································11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1····················11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1·························································································································································································································································································································································································································································································································································································································································································································································································································································
check 115 (64)··············································································································································································································································································································································11·11······111·11·1·11111·1··1·1··11111··11·11··1111·······························1···················11·11······111·11·1·11111·1··1·1··11111··11·11··1111·······························1························································································································································································································································································································································································································································································································································································································································································································································································································································
check 116 (48)··············································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1·······················································································································································································································································································································································································································································································································································································································································································································································································································································
check 117 (48)···············································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1······················································································································································································································································································································································································································································································································································································································································································································································································································································
check 118 (48)················································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1·····················································································································································································································································································································································································································································································································································································································································································································································································································································
check 119 (40)··············································································································································································································································································································································1·1···1···1111·······11··1···1·1·····11······11·111····································1···············1·1···1···1111·······11··1···1·1·····11······11·111····································1····················································································································································································································································································································································································································································································································································································································································································································································································································································
check 120 (40)···············································································································································································································································································································································1·1···1···1111·······11··1···1·1·····11······11·111····································1···············1·1···1···1111·······11··1···1·1·····11······11·111····································1···················································································································································································································································································································································································································································································································································································································································································································································································································································
check 121 (48)··············································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1··················································································································································································································································································································································································································································································································································································································································································································································································································································
check 122 (48)···············································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·················································································································································································································································································································································································································································································································································································································································································································································································································································
check 123 (48)················································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1················································································································································································································································································································································································································································································································································································································································································································································································································································
check 124 (48)·················································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1···············································································································································································································································································································································································································································································································································································································································································································································································································································
check 125 (48)··················································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1··············································································································································································································································································································································································································································································································································································································································································································································································································································
check 126 (56)··············································································································································································································································································································································1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1········1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1·············································································································································································································································································································································································································································································································································································································································································································································································································································
check 127 (56)··············································································································································································································································································································································111··11·1·1111····111··1··11··1·11·1·1·1·1··1····111···········································1·······111··11·1·1111····111··1··11··1·11·1·1·1·1··1····111···········································1············································································································································································································································································································································································································································································································································································································································································································································································································································
check 128 (48)··············································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1···········································································································································································································································································································································································································································································································································································································································································································································································································································
check 129 (48)···············································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1··········································································································································································································································································································································································································································································································································································································································································································································································································································
check 130 (48)················································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1·········································································································································································································································································································································································································································································································································································································································································································································································································································
check 131 (48)·················································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1········································································································································································································································································································································································································································································································································································································································································································································································································································
check 132 (56)··············································································································································································································································································································································1·11·1·····1·1111·1·1··11·11··1··1··11·1·11·11··1·11················································1··1·11·1·····1·1111·1·1··11·11··1··1··11·1·11·11··1·11················································1·······································································································································································································································································································································································································································································································································································································································································································································································································································
check 133 (48)··············································································································································································································································································································································111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1······································································································································································································································································································································································································································································································································································································································································································································································································································
check 134 (48)···············································································································································································································································································································································111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·····································································································································································································································································································································································································································································································································································································································································································································································································································
check 135 (48)····························································································································································································································································································································································································································································································································································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111·········································································································································································································································································································································································································································································································································································································································································
check 136 (56)····························································································································································································································································································································································································································································································································································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·················································111··1··111111··1·1··11···1··1···111···1··11·11·111··1········································································································································································································································································································································································································································································································································································································································································
check 137 (56)·····························································································································································································································································································································································································································································································································································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·················································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·······································································································································································································································································································································································································································································································································································································································································
check 138 (48)····························································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1······································································································································································································································································································································································································································································································································································································································································
check 139 (48)·····························································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1·····································································································································································································································································································································································································································································································································································································································································
check 140 (48)······························································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1····································································································································································································································································································································································································································································································································································································································································
check 141 (48)·······························································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···································································································································································································································································································································································································································································································································································································································································
check 142 (48)································································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1··································································································································································································································································································································································································································································································································································································································································
check 143 (64)····························································································································································································································································································································································································································································································································································1·1111··1·1··1···1111·11·1·1·1·111·1·1····11·1111111········1··········································1·1111··1·1··1···1111·11·1·1·1·111·1·1····11·1111111········1·································································································································································································································································································································································································································································································································································································································································
check 144 (64)····························································································································································································································································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1································································································································································································································································································································································································································································································································································································································································
check 145 (64)·····························································································································································································································································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·······························································································································································································································································································································································································································································································································································································································································
check 146 (64)······························································································································································································································································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1······························································································································································································································································································································································································································································································································································································································································
check 147 (48)····························································································································································································································································································································································································································································································································································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1······································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1·····························································································································································································································································································································································································································································································································································································································································
check 148 (56)····························································································································································································································································································································································································································································································································································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1·····································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1····························································································································································································································································································································································································································································································································································································································································
check 149 (56)····························································································································································································································································································································································································································································································································································11··11·1111····1·1······111··11·1111··11···1111···11··············1····································11··11·1111····1·1······111··11·1111··11···1111···11··············1···························································································································································································································································································································································································································································································································································································································································
check 150 (56)····························································································································································································································································································································································································································································································································································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1···································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1··························································································································································································································································································································································································································································································································································································································································
check 151 (56)·····························································································································································································································································································································································································································································································································································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1···································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1·························································································································································································································································································································································································································································································································································································································································
check 152 (64)····························································································································································································································································································································································································································································································································································1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1·································1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1························································································································································································································································································································································································································································································································································································································································
check 153 (64)····························································································································································································································································································································································································································································································································································11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1································11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1·······················································································································································································································································································································································································································································································································································································································································
check 154 (56)····························································································································································································································································································································································································································································································································································11···111··11··11···1···1·11·111·11·1·1··11···1·1·111···················1·······························11···111··11··11···1···1·11·111·11·1·1··11···1·1·111···················1······················································································································································································································································································································································································································································································································································································································································
check 155 (48)····························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1·····················································································································································································································································································································································································································································································································································································································································
check 156 (48)·····························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1····················································································································································································································································································································································································································································································································································································································································
check 157 (48)······························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1···················································································································································································································································································································································································································································································································································································································································
check 158 (48)·······························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1··················································································································································································································································································································································································································································································································································································································································
check 159 (48)································································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1·················································································································································································································································································································································································································································································································································································································································
check 160 (48)·································································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1················································································································································································································································································································································································································································································································································································································································
check 161 (48)····························································································································································································································································································································································································································································································································································1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1························1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1···············································································································································································································································································································································································································································································································································································································································
check 162 (48)·····························································································································································································································································································································································································································································································································································1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1························1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1··············································································································································································································································································································································································································································································································································································································································
check 163 (56)····························································································································································································································································································································································································································································································································································1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1······················1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1·············································································································································································································································································································································································································································································································································································································································
check 164 (48)····························································································································································································································································································································································································································································································································································1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1·····················1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1············································································································································································································································································································································································································································································································································································································································
check 165 (48)····························································································································································································································································································································································································································································································································································11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1····················11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1···········································································································································································································································································································································································································································································································································································································································
check 166 (64)····························································································································································································································································································································································································································································································································································11·11······111·11·1·11111·1··1·1··11111··11·11··1111·······························1···················11·11······111·11·1·11111·1··1·1··11111··11·11··1111·······························1··········································································································································································································································································································································································································································································································································································································································
check 167 (48)····························································································································································································································································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1·········································································································································································································································································································································································································································································································································································································································
check 168 (48)·····························································································································································································································································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1········································································································································································································································································································································································································································································································································································································································
check 169 (48)······························································································································································································································································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1·······································································································································································································································································································································································································································································································································································································································
check 170 (40)····························································································································································································································································································································································································································································································································································1·1···1···1111·······11··1···1·1·····11······11·111····································1···············1·1···1···1111·······11··1···1·1·····11······11·111····································1······································································································································································································································································································································································································································································································································································································································
check 171 (40)·····························································································································································································································································································································································································································································································································································1·1···1···1111·······11··1···1·1·····11······11·111····································1···············1·1···1···1111·······11··1···1·1·····11······11·111····································1·····································································································································································································································································································································································································································································································································································································································
check 172 (48)····························································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1····································································································································································································································································································································································································································································································································································································································
check 173 (48)·····························································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1···································································································································································································································································································································································································································································································································································································································
check 174 (48)······························································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1··································································································································································································································································································································································································································································································································································································································
check 175 (48)·······························································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·································································································································································································································································································································································································································································································································································································································
check 176 (48)································································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1································································································································································································································································································································································································································································································································································································································
check 177 (56)····························································································································································································································································································································································································································································································································································1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1········1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1·······························································································································································································································································································································································································································································································································································································································
check 178 (56)····························································································································································································································································································································································································································································································································································111··11·1·1111····111··1··11··1·11·1·1·1·1··1····111···········································1·······111··11·1·1111····111··1··11··1·11·1·1·1·1··1····111···········································1······························································································································································································································································································································································································································································································································································································································
check 179 (48)····························································································································································································································································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1·····························································································································································································································································································································································································································································································································································································································
check 180 (48)·····························································································································································································································································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1····························································································································································································································································································································································································································································································································································································································
check 181 (48)······························································································································································································································································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1···························································································································································································································································································································································································································································································································································································································
check 182 (48)·······························································································································································································································································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1··························································································································································································································································································································································································································································································································································································································
check 183 (56)····························································································································································································································································································································································································································································································································································1·11·1·····1·1111·1·1··11·11··1··1··11·1·11·11··1·11················································1··1·11·1·····1·1111·1·1··11·11··1··1··11·1·11·11··1·11················································1·························································································································································································································································································································································································································································································································································································································
check 184 (48)····························································································································································································································································································································································································································································································································································111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1························································································································································································································································································································································································································································································································································································································
check 185 (48)·····························································································································································································································································································································································································································································································································································111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·······················································································································································································································································································································································································································································································································································································································
check 186 (40)··········································································································································································································································································································································································································································································································································································································································································································································································1··11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11·······························································································································································································································································································································································································································································································
check 187 (48)··········································································································································································································································································································································································································································································································································································································································································································································································11·1·111···1··11···1··1111··1·1·11·11111·1·····································11·1·111···1··11···1··1111··1·1·11·11111·1······························································································································································································································································································································································································································································································
check 188 (48)··········································································································································································································································································································································································································································································································································································································································································································································································1111···11··1·1···11·1·11·11·1··111111·1···1····································1111···11··1·1···11·1·11·11·1··111111·1···1·····························································································································································································································································································································································································································································································
check 189 (48)···········································································································································································································································································································································································································································································································································································································································································································································································1111···11··1·1···11·1·11·11·1··111111·1···1····································1111···11··1·1···11·1·11·11·1··111111·1···1····························································································································································································································································································································································································································································································
check 190 (48)··········································································································································································································································································································································································································································································································································································································································································································································································1·1··11··1111···11111····1·1·11·111·1·11····1··································1·1··11··1111···11111····1·1·11·111·1·11····1···························································································································································································································································································································································································································································································
check 191 (40)··········································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1··························································································································································································································································································································································································································································································
check 192 (40)···········································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·························································································································································································································································································································································································································································································
check 193 (40)············································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1························································································································································································································································································································································································································································································
check 194 (40)·············································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·······················································································································································································································································································································································································································································································
check 195 (40)··············································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1······················································································································································································································································································································································································································································································
check 196 (40)···············································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·····················································································································································································································································································································································································································································································
check 197 (40)··········································································································································································································································································································································································································································································································································································································································································································································································1··11··1··111··1·11··1··1111·11·····1·1············1···························1··11··1··111··1·11··1··1111·11·····1·1············1····················································································································································································································································································································································································································································································
check 198 (40)···········································································································································································································································································································································································································································································································································································································································································································································································1··11··1··111··1·11··1··1111·11·····1·1············1···························1··11··1··111··1·11··1··1111·11·····1·1············1···················································································································································································································································································································································································································································································
check 199 (48)··········································································································································································································································································································································································································································································································································································································································································································································································1·1111···1·1··111·111·111·11···1···1·111·············1·························1·1111···1·1··111·111·111·11···1···1·111·············1··················································································································································································································································································································································································································································································
check 200 (40)··········································································································································································································································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1·················································································································································································································································································································································································································································································
check 201 (40)···········································································································································································································································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1················································································································································································································································································································································································································································································
check 202 (40)··········································································································································································································································································································································································································································································································································································································································································································································································1·1·1·11···1····111·11·1·1·11··11··1··1·················1······················1·1·1·11···1····111·11·1·1·11··11··1··1·················1···············································································································································································································································································································································································································································································
check 203 (40)···········································································································································································································································································································································································································································································································································································································································································································································································1·1·1·11···1····111·11·1·1·11··11··1··1·················1······················1·1·1·11···1····111·11·1·1·11··11··1··1·················1··············································································································································································································································································································································································································································································
check 204 (48)··········································································································································································································································································································································································································································································································································································································································································································································································1·11····11·11··111·11··111·11·1·1111···1··················1····················1·11····11·11··111·11··111·11·1·1111···1··················1·············································································································································································································································································································································································································································································
check 205 (40)··········································································································································································································································································································································································································································································································································································································································································································································································11····1··111···1····111··11····1111·11·1···················1···················11····1··111···1····111··11····1111·11·1···················1············································································································································································································································································································································································································································································
check 206 (48)··········································································································································································································································································································································································································································································································································································································································································································································································11111·11··1··1·1·11··1·11·1111···11···11····················1··················11111·11··1··1·1·11··1·11·1111···11···11····················1···········································································································································································································································································································································································································································································
check 207 (40)··········································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1··········································································································································································································································································································································································································································································
check 208 (40)···········································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1·········································································································································································································································································································································································································································································
check 209 (40)············································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1········································································································································································································································································································································································································································································
check 210 (32)··········································································································································································································································································································································································································································································································································································································································································································································································1····11·111·11······1···1····11·11·····1························1··············1····11·111·11······1···1····11·11·····1························1·······································································································································································································································································································································································································································································
check 211 (56)··········································································································································································································································································································································································································································································································································································································································································································································································11·11··1·11·1·11111··11·11··11111111·1·1·························1·············11·11··1·11·1·11111··11·11··11111111·1·1·························1······································································································································································································································································································································································································································································
check 212 (48)··········································································································································································································································································································································································································································································································································································································································································································································································1111·11·1·1·1······1···1111·1·11·11·1111··························1············1111·11·1·1·1······1···1111·1·11·11·1111··························1·····································································································································································································································································································································································································································································
check 213 (40)··········································································································································································································································································································································································································································································································································································································································································································································································111····1·1··1··1111·1·1··1111··1··1···1····························1···········111····1·1··1··1111·1·1··1111··1··1···1····························1····································································································································································································································································································································································································································································
check 214 (40)···········································································································································································································································································································································································································································································································································································································································································································································································111····1·1··1··1111·1·1··1111··1··1···1····························1···········111····1·1··1··1111·1·1··1111··1··1···1····························1···································································································································································································································································································································································································································································
check 215 (40)··········································································································································································································································································································································································································································································································································································································································································································································································1·1···1··1··11111··11······1··1·11·111·1·····························1·········1·1···1··1··11111··11······1··1·11·111·1·····························1··································································································································································································································································································································································································································································
check 216 (48)··········································································································································································································································································································································································································································································································································································································································································································································································11··1·11··111·1···1·111·1····1·111111·11······························1········11··1·11··111·1···1·111·1····1·111111·11······························1·································································································································································································································································································································································································································································
check 217 (48)··········································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1································································································································································································································································································································································································································································
check 218 (48)···········································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·······························································································································································································································································································································································································································································
check 219 (48)············································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1······························································································································································································································································································································································································································································
check 220 (48)·············································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·····························································································································································································································································································································································································································································
check 221 (48)··········································································································································································································································································································································································································································································································································································································································································································································································1··1·1·1111··1·1111·11·111·1·····111··11···································1···1··1·1·1111··1·1111·11·111·1·····111··11···································1····························································································································································································································································································································································································································································
check 222 (40)··········································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1···························································································································································································································································································································································································································································
check 223 (40)···········································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1··························································································································································································································································································································································································································································
check 224 (40)············································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1·························································································································································································································································································································································································································································
check 225 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11·································································································································································································································································································································
check 226 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·111···1··11···1··1111··1·1·11·11111·1·····································11·1·111···1··11···1··1111··1·1·11·11111·1································································································································································································································································································································
check 227 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111···11··1·1···11·1·11·11·1··111111·1···1····································1111···11··1·1···11·1·11·11·1··111111·1···1·······························································································································································································································································································································
check 228 (48)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111···11··1·1···11·1·11·11·1··111111·1···1····································1111···11··1·1···11·1·11·11·1··111111·1···1······························································································································································································································································································································
check 229 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1··11··1111···11111····1·1·11·111·1·11····1··································1·1··11··1111···11111····1·1·11·111·1·11····1·····························································································································································································································································································································
check 230 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1····························································································································································································································································································································
check 231 (40)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1···························································································································································································································································································································
check 232 (40)··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1··························································································································································································································································································································
check 233 (40)···········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·························································································································································································································································································································
check 234 (40)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1························································································································································································································································································································
check 235 (40)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·······················································································································································································································································································································
check 236 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··11··1··111··1·11··1··1111·11·····1·1············1···························1··11··1··111··1·11··1··1111·11·····1·1············1······················································································································································································································································································································
check 237 (40)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··11··1··111··1·11··1··1111·11·····1·1············1···························1··11··1··111··1·11··1··1111·11·····1·1············1·····················································································································································································································································································································
check 238 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1111···1·1··111·111·111·11···1···1·111·············1·························1·1111···1·1··111·111·111·11···1···1·111·············1····················································································································································································································································································································
check 239 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1···················································································································································································································································································································
check 240 (40)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1··················································································································································································································································································································
check 241 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·11···1····111·11·1·1·11··11··1··1·················1······················1·1·1·11···1····111·11·1·1·11··11··1··1·················1·················································································································································································································································································································
check 242 (40)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·11···1····111·11·1·1·11··11··1··1·················1······················1·1·1·11···1····111·11·1·1·11··11··1··1·················1················································································································································································································································································································
check 243 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11····11·11··111·11··111·11·1·1111···1··················1····················1·11····11·11··111·11··111·11·1·1111···1··················1···············································································································································································································································································································
check 244 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11····1··111···1····111··11····1111·11·1···················1···················11····1··111···1····111··11····1111·11·1···················1··············································································································································································································································································································
check 245 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111·11··1··1·1·11··1·11·1111···11···11····················1··················11111·11··1··1·1·11··1·11·1111···11···11····················1·············································································································································································································································································································
check 246 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1············································································································································································································································································································
check 247 (40)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1···········································································································································································································································································································
check 248 (40)··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1··········································································································································································································································································································
check 249 (32)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····11·111·11······1···1····11·11·····1························1··············1····11·111·11······1···1····11·11·····1························1·········································································································································································································································································································
check 250 (56)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·11··1·11·1·11111··11·11··11111111·1·1·························1·············11·11··1·11·1·11111··11·11··11111111·1·1·························1········································································································································································································································································································
check 251 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1·1·1······1···1111·1·11·11·1111··························1············1111·11·1·1·1······1···1111·1·11·11·1111··························1·······································································································································································································································································································
check 252 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111····1·1··1··1111·1·1··1111··1··1···1····························1···········111····1·1··1··1111·1·1··1111··1··1···1····························1······································································································································································································································································································
check 253 (40)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111····1·1··1··1111·1·1··1111··1··1···1····························1···········111····1·1··1··1111·1·1··1111··1··1···1····························1·····································································································································································································································································································
check 254 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1···1··1··11111··11······1··1·11·111·1·····························1·········1·1···1··1··11111··11······1··1·11·111·1·····························1····································································································································································································································································································
check 255 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1·11··111·1···1·111·1····1·111111·11······························1········11··1·11··111·1···1·111·1····1·111111·11······························1···································································································································································································································································································
check 256 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1··································································································································································································································································································
check 257 (48)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·································································································································································································································································································
check 258 (48)··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1································································································································································································································································································
check 259 (48)···········································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·······························································································································································································································································································
check 260 (48)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1·1·1111··1·1111·11·111·1·····111··11···································1···1··1·1·1111··1·1111·11·111·1·····111··11···································1······························································································································································································································································································
check 261 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1·····························································································································································································································································································
check 262 (40)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1····························································································································································································································································································
check 263 (40)··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1···························································································································································································································································································
check 264 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11···················································································································································································································
check 265 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1·····················11··1·1·1·11·1·11·1111·1·1··················································································································································································································
check 266 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·1··11·····111111·111··1····················111·1··11·····111111·111··1·················································································································································································································
check 267 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1················································································································································································································
check 268 (24)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1···············································································································································································································
check 269 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1·················1·11··1·11·11111···111·1·····1··············································································································································································································
check 270 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1·11·11·11·1·1··111······1················11·1·1·11·11·11·1·1··111······1·············································································································································································································
check 271 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1············································································································································································································
check 272 (24)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1···········································································································································································································
check 273 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1·11··11·11·111·········1·············1·11·1·1·1·11··11·11·111·········1··········································································································································································································
check 274 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1·········································································································································································································
check 275 (32)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1········································································································································································································
check 276 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1··········1·111··1·1···1···1·1·1·1············1·······································································································································································································
check 277 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·····1111·11······11·············1·········11·1·····1111·11······11·············1······································································································································································································
check 278 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·····································································································································································································
check 279 (24)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1····································································································································································································
check 280 (24)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1···································································································································································································
check 281 (24)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1··································································································································································································
check 282 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····1·1··1·111·11···11··················1····1·····1·1··1·111·11···11··················1·································································································································································································
check 283 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1································································································································································································
check 284 (24)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·······························································································································································································
check 285 (24)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1······························································································································································································
check 286 (24)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·····························································································································································································
check 287 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11·····················································································································
check 288 (32)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1·····················11··1·1·1·11·1·11·1111·1·1····················································································································
check 289 (32)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·1··11·····111111·111··1····················111·1··11·····111111·111··1···················································································································
check 290 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1··················································································································
check 291 (24)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1·················································································································
check 292 (32)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1·················1·11··1·11·11111···111·1·····1················································································································
check 293 (32)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1·11·11·11·1·1··111······1················11·1·1·11·11·11·1·1··111······1···············································································································
check 294 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1··············································································································
check 295 (24)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1·············································································································
check 296 (32)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1·11··11·11·111·········1·············1·11·1·1·1·11··11·11·111·········1············································································································
check 297 (32)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1···········································································································
check 298 (32)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1··········································································································
check 299 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1··········1·111··1·1···1···1·1·1·1············1·········································································································
check 300 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·····1111·11······11·············1·········11·1·····1111·11······11·············1········································································································
check 301 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·······································································································
check 302 (24)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1······································································································
check 303 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·····································································································
check 304 (24)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1····································································································
check 305 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····1·1··1·111·11···11··················1····1·····1·1··1·111·11···11··················1···································································································
check 306 (24)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1··································································································
check 307 (24)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·································································································
check 308 (24)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1································································································
check 309 (24)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·······························································································
check 310 (16)··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1··1··11111··········1·1··1··11111···························································
check 311 (16)··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1··························································
check 312 (16)···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·························································
check 313 (16)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1························································
check 314 (16)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·······················································
check 315 (16)··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·111··1·····1·····1·1·1·111··1·····1······················································
check 316 (16)··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111···1··11······1····1111···1··11······1·····················································
check 317 (16)··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1····················································
check 318 (16)···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1···················································
check 319 (16)··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1··················································
check 320 (16)···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1·················································
check 321 (8)·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11····11·········11····11·······················
check 322 (8)················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···1········1··11···1········1··1···············
check 323 (8)····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····11··1·······1····11··1··················
check 324 (8)······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·····1········111·····1·················
check 325 (8)····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····1·····11····1····1·····11···············
check 326 (8)···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·····11·······1·1·····11···················
check 327 (8)·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1······1·····11··1······1···················
check 328 (16)················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··11····1··1111·1··11····1··11···············
check 329 (8)··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·111···
check 330 (8)··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1··
check 331 (8)···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1·
check 332 (8)·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111
check 333 (32)·································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111
check 334 (72)·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111
check 335 (142)···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 336 (236)·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 337 (362)·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 338 (520)·························································································································································································································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 339 (702)···································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 340 (908)·····················································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 341 (1178)·······································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

The gate is read off the output rows. An output row of odd weight gives a T, a pair of output rows with odd overlap gives a CS, and an odd triple overlap gives a CCZ. The circuit is a valid factory because every such parity that touches a check row is even.

Figures of merit

inputs n1345Noisy T states per run.
outputs k1
distance d≥ 3A lower bound proved here. Its source certifies d\ge 21, and a fault of weight 21 is shown below, so d=21.
error coefficient A_{3}not definedUndefined while the distance is only a lower bound.
wires N342
checks r341
V_{\mathrm{ex}}1T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d6.5575Overhead per extractable T state. Lower is better. At the certified d=21: 2.3663.
\gamma = \log(n/k)/\log d6.5575Overhead per output qubit. At the certified d=21: 2.3663.
\gamma_T = \log(n/T)/\log d6.5575Overhead per unit of T-count. At the certified d=21: 2.3663.
T-count1Minimal T-count of the output gate.
phase-polynomial degree1Minimised over changes of output basis.
effective width1Rank of the output rows modulo the check rows.

Output gate

1 T0 CS0 CCZon 1 output wire

As gates: \mathrm{T}_{0}

As monomials: 0 (output wires per term, separated by +)

This row stands for every gate that a CNOT circuit and S, Z and CZ gates on the outputs can reach from this one. They all prepare the same magic state. The wires are shown in the S_k-canonical frame.

Clifford correction

With every rotation a \mathrm{T}=\mathrm{diag}(1,e^{i\pi/4}), the rotations deposit the gate above times a diagonal Clifford. Undo it after the rotations and before the checks are measured, with 6 single-wire gates and 16 \mathrm{CZ} gates: \mathrm{S} on check 335, \mathrm{Z} on check 336, \mathrm{S}^\dagger on check 337, \mathrm{S} on check 339, \mathrm{Z} on check 340, \mathrm{S}^\dagger on check 341, \mathrm{CZ} on output 0, check 335, \mathrm{CZ} on output 0, check 337, \mathrm{CZ} on output 0, check 339, \mathrm{CZ} on output 0, check 341, \mathrm{CZ} on check 335, check 336, \mathrm{CZ} on check 335, check 337, \mathrm{CZ} on check 335, check 338, \mathrm{CZ} on check 335, check 339, \mathrm{CZ} on check 335, check 340, \mathrm{CZ} on check 335, check 341, \mathrm{CZ} on check 337, check 338, \mathrm{CZ} on check 337, check 339, \mathrm{CZ} on check 337, check 340, \mathrm{CZ} on check 337, check 341, \mathrm{CZ} on check 339, check 340, \mathrm{CZ} on check 339, check 341. The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

Or no Clifford gate at all: run \mathrm{T}^\dagger on rotations 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 and 768 more (listed below), and \mathrm{T} on the rest. A power of \mathrm{T} costs one magic state, like \mathrm{T} itself. For a code this is a transversal \mathrm{T} gate, \mathrm{T}^j on each qubit.

All 792 rotations at T†

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249

Rotations are numbered by matrix column, from 0. The correction comes from the columns by the weight expansion of Bravyi and Haah (2012). verify_catalog.py re-derives it, checks the corrected circuit's phase input by input against the gate, and on small circuits simulates it gate by gate.

Convert the output with CNOT and S

A CNOT circuit on the outputs, followed by S, Z and CZ gates, turns this factory's gate into other gates that prepare the same magic state. Type a target gate to check whether it is reachable. If it is, you get the circuit, checked on every basis state.

Or list every gate it reaches. The list is built in your browser and saved as a text file, one gate per line.

Python code that writes the same list
import json, urllib.request

NAMES = {1: "T", 2: "CS", 3: "CCZ"}


def equivalent_gates(k, terms, limit=1_000_000):
    """Every gate a CNOT circuit and S, Z, CZ gates reach from this one.

    A gate is its set of terms mod Clifford: {a} is T, {a,b} is CS and
    {a,b,c} is CCZ on those outputs. CNOT c->t sends x_t to
    x_c + x_t - 2 x_c x_t, so a term on t but not c adds the term with t
    replaced by c, and, below CCZ, the term with c added.
    """
    start = frozenset(frozenset(m) for m in terms)
    seen, queue = {start}, [start]
    for gate in queue:
        for c in range(k):
            for t in range(k):
                if c == t:
                    continue
                new = set(gate)
                for m in gate:
                    if t in m and c not in m:
                        new ^= {(m - {t}) | {c}}
                        if len(m) < 3:
                            new ^= {m | {c}}
                new = frozenset(new)
                if new not in seen:
                    seen.add(new)
                    queue.append(new)
                    if len(seen) > limit:
                        raise RuntimeError(f"more than {limit} equivalent gates")
    return seen


def name(gate, k):
    sep = "," if k > 10 else ""
    terms = sorted((sorted(m) for m in gate), key=lambda m: (len(m), m))
    return "·".join(NAMES[len(m)] + sep.join(map(str, m)) for m in terms) or "I"


url = "https://shubhamj810.github.io/magic-state-factory-repo/data/factories/1345.1.3.a.json"
record = json.load(urllib.request.urlopen(url))
k = record["parameters"]["k"]
gates = equivalent_gates(k, record["gate"]["monomials"])
lines = sorted(name(g, k) for g in gates)
print(len(lines), "equivalent gates")
with open("equivalent-gates-1345.1.3.a.txt", "w") as out:
    out.write("\n".join(lines) + "\n")

Distance

3\le d\le 21. No fault of weight below 3 is both undetectable and damaging. None of weight 3 has been found, and one of weight 21 is, so the distance lies between the two.

A damaging fault of weight 21 sits on columns [0,167,334,437,540,643,746,825,904,983,1062,1109,1156,1203,1250,1273,1296,1313,1330,1337,1344].

Its source certifies d\ge 21, as a lower bound. That certificate is not re-checked here, but rankings on this site may use it. With the damaging fault of weight 21 above, it makes the distance exactly d=21. Source: Jain and Albert (arXiv:2408.12752), Table II: [[167,1,23]] quantum QR code (extended QR [168,84,24]) doubled onto [[1011,1,19]]; the doubling theorem of their Sec. III gives d >= min(d_sd, d_tri + 2) = 21, with d_sd at least the classical distance less one (their Lemma 2.4).

A fault is a set of faulty columns. It is undetectable when their check parts cancel, and damaging when their output parts do not.

Original source

S. P. Jain and V. V. Albert, "Transversal Clifford and T-gate codes of short length and high distance," IEEE J. Sel. Areas Inf. Theory 6, 127-137 (2025); arXiv:2408.12752. doi.org/10.1109/JSAIT.2025.3570832

Provenance

a code of the weak triply even family of Jain and Albert (arXiv:2408.12752, Table II; transversal_t_codes/): quadratic-residue CSS codes doubled onto [[95,1,7]], rebuilt here from the paper's construction, where T on some qubits and T-dagger on the rest is a logical T; a verified witness, not a maximum

Found by: Jain-Albert doubling: weak triply even family

Discovery: pre-existing

1 recorded source
[
 {
  "regime": "Jain-Albert doubling: weak triply even family",
  "file": "transversal_t_codes/factories.json",
  "label": "JA-1345",
  "N": 342,
  "d": 3,
  "d_is_exact": false,
  "origin": "S. P. Jain and V. V. Albert, \"Transversal Clifford and T-gate codes of short length and high distance\", IEEE J. Sel. Areas Inf. Theory 6, 127 (2025), arXiv:2408.12752",
  "provenance": "[[167,1,23]] quantum QR code (extended QR [168,84,24]) doubled onto [[1011,1,19]] (Table II)"
 }
]

Use it in code

Load this factory and re-derive every number from its circuit with the catalogue's own verifier.

# git clone https://github.com/shubhamj810/magic-state-factory-repo
# cd magic-state-factory-repo/master_catalog
import json, urllib.request
import verify_catalog as VC

url = "https://shubhamj810.github.io/magic-state-factory-repo/data/factories/1345.1.3.a.json"
record = json.load(urllib.request.urlopen(url))
columns = record["circuit"]["columns"]
k, N = record["parameters"]["k"], record["parameters"]["N"]

facts, problems = VC.derive(columns, k, N)    # gate, T-count, degree, ...
distance = VC.measure_distance(columns, k, N)  # exhaustive fault search
print(facts["gate_human"], distance["d_exact"] or distance["d_at_least"],
      problems or "verified")

Raw record

Show the JSON this page is built from

Source: master_catalog.json, factories[1376].