Magic State Factory Catalog

[\![1317,\,1,\,3]\!] factory

\mathrm{T}_{0}

distance, proved here
3\le d\le 21 certified 21
error coefficient
—
\gamma_\rho
2.3594†
V_{\mathrm{ex}}
1
wires
N=335
Clifford correction
none with T powers
found by
pre-existing pure T

The circuit

The 335\times1317 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
out 0 (1317)111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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 (52)····························································································································································································································································································································································································································································································································································1·1····11··1111·1111·····1·11111··1·1····111···11·1··················································1·1····11··1111·1111·····1·11111··1·1····111···11·1·················································································································································································································································································································································································································································································································································································································································
check 136 (52)·······························································································································································································································································································································································································································································································································································11··1··11·11···11·1···11··111·111·11··1·1·1·1···11···················································11··1··11·11···11·1···11··111·111·11··1·1·1·1···11···············································································································································································································································································································································································································································································································································································································································
check 137 (52)·····························································································································································································································································································································································································································································································································································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1··············································································································································································································································································································································································································································································································································································································································
check 138 (52)····························································································································································································································································································································································································································································································································································11·1··11111·····1·1···11·1··11·1···1····111·1·1·11·1··1··············································11·1··11111·····1·1···11·1··11·1···1····111·1·1·11·1··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 (44)····························································································································································································································································································································································································································································································································································1·11···11·1·11······11·1111·1··1··········1111··1·········1··········································1·11···11·1·11······11·1111·1··1··········1111··1·········1·········································································································································································································································································································································································································································································································································································································································
check 143 (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 144 (52)·······························································································································································································································································································································································································································································································································································111·1··111·1·1···1·11····1·1·111111···1···11··1·1········1···········································111·1··111·1·1···1·11····1·1·111111···1···11··1·1········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 (52)····························································································································································································································································································································································································································································································································································11·1··1·111···111···11··1··1·11··111··1··11·111···············1······································11·1··1·111···111···11··1··1·11··111··1··11·111···············1·····································································································································································································································································································································································································································································································································································································································
check 147 (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 148 (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 149 (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 150 (68)·····························································································································································································································································································································································································································································································································································11·11···11111111·11····1·111··111·11·11·11·11111··1··············1···································11·11···11111111·11····1·111··111·11·11·11·11111··1··············1·································································································································································································································································································································································································································································································································································································································
check 151 (52)·····························································································································································································································································································································································································································································································································································111111111···11·1··1·1·····1·1······111111·11·1····················1··································111111111···11·1··1·1·····1·1······111111·11·1····················1································································································································································································································································································································································································································································································································································································································
check 152 (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 153 (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 154 (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 155 (60)·····························································································································································································································································································································································································································································································································································11··11·1·1·11·1111····1··11···1111111··1·11·1··11·1···················1······························11··11·1·1·11·1111····1··11···1111111··1·11·1··11·1···················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 (60)····························································································································································································································································································································································································································································································································································1·1·11····1·11·1111··1··1··1·11111·11·11··11·1·111··························1························1·1·11····1·11·1111··1··1··1·11111·11·11··11·1·111··························1·······················································································································································································································································································································································································································································································································································································································
check 161 (60)····························································································································································································································································································································································································································································································································································1·1··111·1···111·1111·1···111·11·1·1···111·1··111··1·························1·······················1·1··111·1···111·1111·1···111·11·1·1···111·1··111··1·························1······················································································································································································································································································································································································································································································································································································································
check 162 (44)·······························································································································································································································································································································································································································································································································································11·1··1·11·1·1111···1·1·1·1·1·1··1·1·1····1································1·························11·1··1·11·1·1111···1·1·1·1·1·1··1·1·1····1································1·····················································································································································································································································································································································································································································································································································································································
check 163 (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 164 (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 165 (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 166 (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 167 (60)·····························································································································································································································································································································································································································································································································································1111··11·····11·1·1111111111·1····1·11····111·1·1·1·······························1··················1111··11·····11·1·1111111111·1····1·11····111·1·1·1·······························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 (60)····························································································································································································································································································································································································································································································································································11··1·1111··11·111111··11·1·1·1··1··1···11111···11···································1···············11··1·1111··11·111111··11·1·1·1··1··1···11111···11···································1··············································································································································································································································································································································································································································································································································································································
check 170 (52)····························································································································································································································································································································································································································································································································································1··1·1··1·11·111·111·1··1·1··1·11··11·····11·1·1···1··································1··············1··1·1··1·11·111·111·1··1·1··1·11··11·····11·1·1···1··································1·············································································································································································································································································································································································································································································································································································································
check 171 (52)··································································································································································································································································································································································································································································································································································111·1···1·1111·11····11·1···1·111··111·111·1·····································1···················111·1···1·1111·11····11·1···1·111··111·111·1·····································1············································································································································································································································································································································································································································································································································································································
check 172 (60)····························································································································································································································································································································································································································································································································································1111····1·······1111··11·11111·11·1·1·11·111··1·11·1····································1············1111····1·······1111··11·11111·11·1·1·11·111··1·11·1····································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 (44)····························································································································································································································································································································································································································································································································································1·11··111··11·1·····1···111·1·1·····1·111····1·1············································1········1·11··111··11·1·····1···111·1·1·····1·111····1·1············································1·······································································································································································································································································································································································································································································································································································································
check 177 (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 178 (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 179 (60)·····························································································································································································································································································································································································································································································································································1···111··1···1·11··1··1·11·11·1111111·1··111··111·1···········································1······1···111··1···1·11··1··1·11·11·1111111·1··111··111·1···········································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 (52)····························································································································································································································································································································································································································································································································································1··1··11·11···11·1···11··111·111·11··1·1·1·1···11·················································1··1··1··11·11···11·1···11··111·111·11··1·1·1·1···11·················································1·································································································································································································································································································································································································································································································································································································
check 183 (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 184 (52)·······························································································································································································································································································································································································································································································································································1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1·······························································································································································································································································································································································································································································································································································································
check 185 (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 186 (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 187 (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 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)······································································································································································································································································································································································································································································································································································································································································································································································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 190 (40)······································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········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)······································································································································································································································································································································································································································································································································································································································································································································································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 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 (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 199 (40)······································································································································································································································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············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)······································································································································································································································································································································································································································································································································································································································································································································································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 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 (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 204 (40)······································································································································································································································································································································································································································································································································································································································································································································································11····1··111···1····111··11····1111·11·1···················1···················11····1··111···1····111··11····1111·11·1···················1····················································································································································································································································································································································································································································
check 205 (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 206 (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 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 (32)······································································································································································································································································································································································································································································································································································································································································································································································1····11·111·11······1···1····11·11·····1························1··············1····11·111·11······1···1····11·11·····1························1···············································································································································································································································································································································································································································
check 210 (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 211 (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 212 (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 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)······································································································································································································································································································································································································································································································································································································································································································································································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 215 (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 216 (48)······································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································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)······································································································································································································································································································································································································································································································································································································································································································································································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 221 (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 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 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····1··111·1·1·1···11111··1··1·1···································1·····1··111·1·1·1···11111··1··1·1························································································································································································································································································································
check 225 (32)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····1··111·1·1·1···11111··1··1·1···································1·····1··111·1·1·1···11111··1··1·1·······················································································································································································································································································································
check 226 (32)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1···1·111·1······1·11···111·11···1·································1·1···1·111·1······1·11···111·11···1······················································································································································································································································································································
check 227 (32)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1···1·111·1······1·11···111·11···1·································1·1···1·111·1······1·11···111·11···1·····················································································································································································································································································································
check 228 (40)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·1·1·11··1111·1···11··1···1111····1·····························1·1·1·1·1·11··1111·1···11··1···1111····1····················································································································································································································································································································
check 229 (40)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·1·111···1··1·111··1··111·1·1·1·····1·····························111·1·111···1··1·111··1··111·1·1·1·····1···················································································································································································································································································································
check 230 (40)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··1111111····11·1·11·1111·········1······························11·1··1111111····11·1·11·1111·········1··················································································································································································································································································································
check 231 (40)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··1111111····11·1·11·1111·········1······························11·1··1111111····11·1·11·1111·········1·················································································································································································································································································································
check 232 (40)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····11·1··1111111····1··1·11·1111·········1·························1····11·1··1111111····1··1·11·1111·········1················································································································································································································································································································
check 233 (40)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11····11·1··1111111·······1·11·1111·········1························11····11·1··1111111·······1·11·1111·········1···············································································································································································································································································································
check 234 (32)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····1··111·1·1·1····1111··1··1·1··········1························1·····1··111·1·1·1····1111··1··1·1··········1··············································································································································································································································································································
check 235 (28)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1···11··1·1·1·11··1······1·1·············1·······················1·1·1···11··1·1·1·11··1······1·1·············1·············································································································································································································································································································
check 236 (28)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1···11··1·1·1·11··1······1·1·············1·······················1·1·1···11··1·1·1·11··1······1·1·············1············································································································································································································································································································
check 237 (28)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1···11··1·1·1·11··1······1·1·············1·······················1·1·1···11··1·1·1·11··1······1·1·············1···········································································································································································································································································································
check 238 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·1····1···111111·1111·1··1··················1···················1·1·1·1····1···111111·1111·1··1··················1··········································································································································································································································································································
check 239 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1·1····1···111111··111·1··1··················1··················11·1·1·1····1···111111··111·1··1··················1·········································································································································································································································································································
check 240 (36)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1·1····1···111111··111·1··1··················1··················11·1·1·1····1···111111··111·1··1··················1········································································································································································································································································································
check 241 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1····1···11111···111·1··1··················1················1·11·1·1·1····1···11111···111·1··1··················1·······································································································································································································································································································
check 242 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·11·1·1·1····1···1111····111·1··1··················1···············11·11·1·1·1····1···1111····111·1··1··················1······································································································································································································································································································
check 243 (52)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·111··11·111·11111111111··11····················1··············11··11·111··11·111·11111111111··11····················1·····································································································································································································································································································
check 244 (52)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·111··11·111·111·1111111··11····················1·············111··11·111··11·111·111·1111111··11····················1····································································································································································································································································································
check 245 (44)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··11111·111···1··1111···11·1·11·····················1············11·1··11111·111···1··1111···11·1·11·····················1···································································································································································································································································································
check 246 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1·11·1·1··1····11··11·1··111······················1···········11··1··1·11·1·1··1····11··11·1··111······················1··································································································································································································································································································
check 247 (28)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1····1·1····111···1·11·1·····1·······················1··········11···1····1·1····111···1·11·1·····1·······················1·································································································································································································································································································
check 248 (28)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····1·1···1··1·11·1··1·1···11··1·························1··········1····1·1···1··1·11·1··1·1···11··1·························1································································································································································································································································································
check 249 (28)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····1·1···1··1·11·1··1·1···11··1·························1··········1····1·1···1··1·11·1··1·1···11··1·························1·······························································································································································································································································································
check 250 (36)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································11······111111····1·111·1···1111···························1·········11······111111····1·111·1···1111···························1······························································································································································································································································································
check 251 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··11······111111····1··11·1···1111···························1······1··11······111111····1··11·1···1111···························1·····························································································································································································································································································
check 252 (36)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·11··1··1··1·1··1··111··11·1·1·1····························1······11·11··1··1··1·1··1··111··11·1·1·1····························1····························································································································································································································································································
check 253 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1·11·11·1·1·····11··1··111111································1····1··1·11·11·1·1·····11··1··111111································1···························································································································································································································································································
check 254 (36)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1·11·11·1·1·····11··1··111111································1····1··1·11·11·1·1·····11··1··111111································1··························································································································································································································································································
check 255 (36)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1·11·11·1·1·····11··1··111111································1····1··1·11·11·1·1·····11··1··111111································1·························································································································································································································································································
check 256 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··1·11·11·1·1·····1···1··111111································1·1··1··1·11·11·1·1·····1···1··111111································1························································································································································································································································································
check 257 (36)····································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·1··11111·······1···1111····11·1·································1111·1··11111·······1···1111····11·1·································1·······················································································································································································································································································
check 258 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11···············································································································································································································
check 259 (32)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1·····················11··1·1·1·11·1·11·1111·1·1··············································································································································································································
check 260 (32)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·1··11·····111111·111··1····················111·1··11·····111111·111··1·············································································································································································································
check 261 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1············································································································································································································
check 262 (24)···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1···········································································································································································································
check 263 (32)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1·················1·11··1·11·11111···111·1·····1··········································································································································································································
check 264 (32)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1·11·11·11·1·1··111······1················11·1·1·11·11·11·1·1··111······1·········································································································································································································
check 265 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1········································································································································································································
check 266 (24)···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1·······································································································································································································
check 267 (32)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1·11··11·11·111·········1·············1·11·1·1·1·11··11·11·111·········1······································································································································································································
check 268 (32)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1·····································································································································································································
check 269 (32)···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1····································································································································································································
check 270 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1··········1·111··1·1···1···1·1·1·1············1···································································································································································································
check 271 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·····1111·11······11·············1·········11·1·····1111·11······11·············1··································································································································································································
check 272 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·································································································································································································
check 273 (24)···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1································································································································································································
check 274 (24)················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·······························································································································································································
check 275 (24)·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1······························································································································································································
check 276 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····1·1··1·111·11···11··················1····1·····1·1··1·111·11···11··················1·····························································································································································································
check 277 (24)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1····························································································································································································
check 278 (24)···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1···························································································································································································
check 279 (24)················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1··························································································································································································
check 280 (24)·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·························································································································································································
check 281 (28)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·111·11·111···11···1······················111·111·11·111···11···1·····················································································································
check 282 (24)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11····················1···11··11·11··1··1·1··11···················································································································
check 283 (32)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1···················11··1·1·1·11·1·11·1111·1·1··················································································································
check 284 (28)·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·1·111111··1·1·1··1·······················111·1·111111··1·1·1··1·················································································································
check 285 (20)···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11·11···1··1·11·······1····················1·11·11···1··1·11·······1················································································································
check 286 (24)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1·················11111······11···11·1··1····1···············································································································
check 287 (32)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1···············1·11··1·11·11111···111·1·····1··············································································································
check 288 (28)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·11·11·1·1·11···1·1······1················111·11·11·1·1·11···1·1······1·············································································································
check 289 (20)················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···11·1111····11··········1·················1···11·1111····11··········1············································································································
check 290 (24)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1·············111··11·······1··1111·1········1···········································································································
check 291 (28)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11·111····1·111·1·1·1·········1············1·11·111····1·111·1·1·1·········1··········································································································
check 292 (20)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111···1·1·1··11··1··············1············111···1·1·1··11··1··············1·········································································································
check 293 (32)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1··········11·1·11··111·1·11111··1···········1········································································································
check 294 (24)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1········1·111··1·1···1···1·1·1·1············1·······································································································
check 295 (28)··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111·1·1··111·11····1·············1·········11111·1·1··111·11····1·············1······································································································
check 296 (24)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1······111··1··111··1··1·1·1·················1·····································································································
check 297 (24)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1······111··1··111··1··1·1·1·················1····································································································
check 298 (28)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·111111··1·1·1··1···················1····11·1·111111··1·1·1··1···················1···································································································
check 299 (24)···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1······111··1··111··1··1·1·1·················1··································································································
check 300 (20)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·11···1··1·11·······1··················1···11·11···1··1·11·······1··················1·································································································
check 301 (24)············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1·11··11·11··1··1·1··11······················1································································································
check 302 (24)·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1·11··11·11··1··1·1··11······················1·······························································································
check 303 (16)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1··1··11111··········1·1··1··11111···························································
check 304 (16)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1··························································
check 305 (16)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·························································
check 306 (16)········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1························································
check 307 (16)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·······················································
check 308 (16)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·111··1·····1·····1·1·1·111··1·····1······················································
check 309 (16)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111···1··11······1····1111···1··11······1·····················································
check 310 (16)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1····················································
check 311 (16)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1···················································
check 312 (16)······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1··················································
check 313 (16)·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1·················································
check 314 (8)·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11····11·········11····11·······················
check 315 (8)····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···1········1··11···1········1··1···············
check 316 (8)························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····11··1·······1····11··1··················
check 317 (8)··························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·····1········111·····1·················
check 318 (8)························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····1·····11····1····1·····11···············
check 319 (8)·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·····11·······1·1·····11···················
check 320 (8)·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1······1·····11··1······1···················
check 321 (16)····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··11····1··1111·1··11····1··11···············
check 322 (8)······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·111···
check 323 (8)······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1··
check 324 (8)·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1·
check 325 (8)·····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111
check 326 (32)·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111
check 327 (72)·····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111
check 328 (140)·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 329 (232)·····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 330 (348)·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 331 (496)·····················································································································································································································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 332 (676)·································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 333 (880)·····················································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 334 (1150)·······································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

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 n1317Noisy 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 N335
checks r334
V_{\mathrm{ex}}1T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d6.5384Overhead per extractable T state. Lower is better. At the certified d=21: 2.3594.
\gamma = \log(n/k)/\log d6.5384Overhead per output qubit. At the certified d=21: 2.3594.
\gamma_T = \log(n/T)/\log d6.5384Overhead per unit of T-count. At the certified d=21: 2.3594.
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 60 single-wire gates and 56 \mathrm{CZ} gates: \mathrm{Z} on output 0, \mathrm{Z} on check 135, \mathrm{Z} on check 136, \mathrm{Z} on check 137, \mathrm{Z} on check 138, \mathrm{Z} on check 142, \mathrm{Z} on check 144, \mathrm{Z} on check 146, \mathrm{Z} on check 150, \mathrm{Z} on check 151, \mathrm{Z} on check 155, \mathrm{Z} on check 160, \mathrm{Z} on check 161, \mathrm{Z} on check 162, \mathrm{Z} on check 167, \mathrm{Z} on check 169, \mathrm{Z} on check 170, \mathrm{Z} on check 171, \mathrm{Z} on check 172, \mathrm{Z} on check 176, \mathrm{Z} on check 179, \mathrm{Z} on check 182, \mathrm{Z} on check 184, \mathrm{Z} on check 235 and 92 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

All 116 correction gates

\mathrm{Z} on output 0, \mathrm{Z} on check 135, \mathrm{Z} on check 136, \mathrm{Z} on check 137, \mathrm{Z} on check 138, \mathrm{Z} on check 142, \mathrm{Z} on check 144, \mathrm{Z} on check 146, \mathrm{Z} on check 150, \mathrm{Z} on check 151, \mathrm{Z} on check 155, \mathrm{Z} on check 160, \mathrm{Z} on check 161, \mathrm{Z} on check 162, \mathrm{Z} on check 167, \mathrm{Z} on check 169, \mathrm{Z} on check 170, \mathrm{Z} on check 171, \mathrm{Z} on check 172, \mathrm{Z} on check 176, \mathrm{Z} on check 179, \mathrm{Z} on check 182, \mathrm{Z} on check 184, \mathrm{Z} on check 235, \mathrm{Z} on check 236, \mathrm{Z} on check 237, \mathrm{Z} on check 238, \mathrm{Z} on check 239, \mathrm{Z} on check 240, \mathrm{Z} on check 241, \mathrm{Z} on check 242, \mathrm{Z} on check 243, \mathrm{Z} on check 244, \mathrm{Z} on check 245, \mathrm{Z} on check 246, \mathrm{Z} on check 247, \mathrm{Z} on check 248, \mathrm{Z} on check 249, \mathrm{Z} on check 250, \mathrm{Z} on check 251, \mathrm{Z} on check 252, \mathrm{Z} on check 253, \mathrm{Z} on check 254, \mathrm{Z} on check 255, \mathrm{Z} on check 256, \mathrm{Z} on check 257, \mathrm{Z} on check 281, \mathrm{Z} on check 284, \mathrm{Z} on check 285, \mathrm{Z} on check 288, \mathrm{Z} on check 289, \mathrm{Z} on check 291, \mathrm{Z} on check 292, \mathrm{Z} on check 295, \mathrm{Z} on check 298, \mathrm{Z} on check 300, \mathrm{Z} on check 328, \mathrm{Z} on check 330, \mathrm{Z} on check 332, \mathrm{S} on check 334, \mathrm{CZ} on output 0, check 334, \mathrm{CZ} on check 135, check 332, \mathrm{CZ} on check 136, check 332, \mathrm{CZ} on check 137, check 332, \mathrm{CZ} on check 138, check 332, \mathrm{CZ} on check 142, check 332, \mathrm{CZ} on check 144, check 332, \mathrm{CZ} on check 146, check 332, \mathrm{CZ} on check 150, check 332, \mathrm{CZ} on check 151, check 332, \mathrm{CZ} on check 155, check 332, \mathrm{CZ} on check 160, check 332, \mathrm{CZ} on check 161, check 332, \mathrm{CZ} on check 162, check 332, \mathrm{CZ} on check 167, check 332, \mathrm{CZ} on check 169, check 332, \mathrm{CZ} on check 170, check 332, \mathrm{CZ} on check 171, check 332, \mathrm{CZ} on check 172, check 332, \mathrm{CZ} on check 176, check 332, \mathrm{CZ} on check 179, check 332, \mathrm{CZ} on check 182, check 332, \mathrm{CZ} on check 184, check 332, \mathrm{CZ} on check 235, check 330, \mathrm{CZ} on check 236, check 330, \mathrm{CZ} on check 237, check 330, \mathrm{CZ} on check 238, check 330, \mathrm{CZ} on check 239, check 330, \mathrm{CZ} on check 240, check 330, \mathrm{CZ} on check 241, check 330, \mathrm{CZ} on check 242, check 330, \mathrm{CZ} on check 243, check 330, \mathrm{CZ} on check 244, check 330, \mathrm{CZ} on check 245, check 330, \mathrm{CZ} on check 246, check 330, \mathrm{CZ} on check 247, check 330, \mathrm{CZ} on check 248, check 330, \mathrm{CZ} on check 249, check 330, \mathrm{CZ} on check 250, check 330, \mathrm{CZ} on check 251, check 330, \mathrm{CZ} on check 252, check 330, \mathrm{CZ} on check 253, check 330, \mathrm{CZ} on check 254, check 330, \mathrm{CZ} on check 255, check 330, \mathrm{CZ} on check 256, check 330, \mathrm{CZ} on check 257, check 330, \mathrm{CZ} on check 281, check 328, \mathrm{CZ} on check 284, check 328, \mathrm{CZ} on check 285, check 328, \mathrm{CZ} on check 288, check 328, \mathrm{CZ} on check 289, check 328, \mathrm{CZ} on check 291, check 328, \mathrm{CZ} on check 292, check 328, \mathrm{CZ} on check 295, check 328, \mathrm{CZ} on check 298, check 328, \mathrm{CZ} on check 300, check 328

Or no Clifford gate at all: run \mathrm{T}^3 on rotations 1, 4, 6, 8, 10, 12, 13, 17, 19, 23, 24, 25, 26, 27, 29, 31, 32, 33, 35, 36, 40, 42, 45, 46 and 441 more (listed below); \mathrm{T}^5 on rotation 167; \mathrm{T}^\dagger on rotation 0, 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 465 rotations at T³

1, 4, 6, 8, 10, 12, 13, 17, 19, 23, 24, 25, 26, 27, 29, 31, 32, 33, 35, 36, 40, 42, 45, 46, 47, 49, 50, 52, 53, 56, 59, 60, 62, 64, 67, 70, 71, 73, 76, 78, 81, 83, 169, 170, 172, 174, 176, 178, 181, 182, 183, 185, 187, 188, 189, 195, 197, 201, 204, 205, 206, 208, 210, 211, 215, 218, 221, 222, 224, 225, 228, 230, 232, 233, 235, 236, 239, 241, 242, 244, 246, 247, 249, 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, 334, 336, 341, 342, 345, 346, 347, 348, 350, 351, 352, 353, 359, 361, 362, 363, 364, 365, 368, 370, 375, 376, 377, 381, 382, 384, 436, 437, 439, 444, 445, 448, 449, 450, 451, 453, 454, 455, 456, 462, 464, 465, 466, 467, 468, 471, 473, 478, 479, 480, 484, 485, 487, 539, 540, 542, 543, 545, 547, 550, 551, 553, 559, 561, 565, 566, 567, 568, 569, 570, 571, 576, 577, 578, 581, 582, 583, 584, 588, 591, 637, 641, 643, 644, 646, 648, 651, 652, 654, 660, 662, 666, 667, 668, 669, 670, 671, 672, 677, 678, 679, 682, 683, 684, 685, 689, 692, 738, 742, 743, 745, 746, 752, 754, 755, 757, 759, 760, 761, 762, 765, 766, 767, 768, 770, 771, 772, 776, 777, 780, 820, 823, 826, 827, 828, 829, 830, 832, 835, 837, 842, 843, 848, 852, 853, 854, 857, 858, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 902, 903, 904, 905, 906, 907, 911, 913, 914, 917, 918, 923, 925, 927, 928, 929, 933, 934, 971, 972, 973, 974, 975, 976, 980, 982, 983, 986, 987, 992, 994, 996, 997, 998, 1002, 1003, 1133, 1136, 1137, 1143, 1144, 1145, 1146, 1147, 1148, 1150, 1151, 1152, 1155, 1176, 1177, 1179, 1180, 1183, 1184, 1185, 1186, 1187, 1194, 1198, 1199, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1222, 1226, 1227, 1228, 1230, 1232, 1244, 1245, 1249, 1250, 1251, 1253, 1255, 1267, 1269, 1270, 1272, 1278, 1284, 1285, 1288, 1290, 1291, 1292, 1293, 1294, 1296, 1297, 1298, 1299, 1300

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/1317.1.3.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-1317.1.3.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 [0,167,334,437,540,641,742,821,900,969,1038,1085,1132,1177,1222,1245,1268,1285,1302,1309,1316].

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 I: [[167,1,23]] quantum QR code (extended QR [168,84,24]) doubled onto [[983,1,19]]; 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); the [[69,1,13]] input's distance is proved here by enumerating every word of SD70 through the punctured coordinate.

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 triorthogonal family of Jain and Albert (arXiv:2408.12752, Table I; transversal_t_codes/), self-dual CSS codes doubled onto [[95,1,7]], rebuilt here from the paper's construction; a verified witness, not a maximum

Found by: Jain-Albert doubling: triorthogonal family

Discovery: pre-existing

1 recorded source
[
 {
  "regime": "Jain-Albert doubling: triorthogonal family",
  "file": "transversal_t_codes/factories.json",
  "label": "JA-1317",
  "N": 335,
  "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 [[983,1,19]] (Table I)",
  "notes": "its [[69,1,13]] input is the self-dual [70,35,12] code found by transversal_t_codes/search_sd70.py, whose words through the punctured coordinate all weigh at least 14, in place of the paper's [70,35,14] code, which is only formally self-dual"
 }
]

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/1317.1.3.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[1375].