[[1011, 1, 6]] magic-state factory, T0 · Magic State Factory Catalog

The circuit

The 258\times1011 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 \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \| ' \|
out 0 (1011)	111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 1 (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 2 (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 3 (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 4 (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 5 (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 6 (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 7 (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 8 (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 9 (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 10 (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 11 (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 12 (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 13 (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 14 (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 15 (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 16 (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 17 (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 18 (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 19 (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 20 (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 21 (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 22 (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 23 (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 24 (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 25 (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 26 (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 27 (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 28 (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 29 (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 30 (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 31 (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 32 (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 33 (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 34 (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 35 (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 36 (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 37 (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 38 (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 39 (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 40 (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 41 (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 42 (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 43 (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 44 (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 45 (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 46 (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 47 (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 48 (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 49 (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 50 (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 51 (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 52 (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 53 (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 54 (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 55 (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 56 (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 57 (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 58 (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 59 (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 60 (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 61 (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 62 (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 63 (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 64 (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 65 (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 66 (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 67 (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 68 (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 69 (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 70 (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 71 (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 72 (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 73 (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 74 (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 75 (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 76 (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 77 (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 78 (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 79 (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 80 (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 81 (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 82 (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 83 (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 84 (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 85 (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 86 (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 87 (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 88 (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 89 (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 90 (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 91 (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 92 (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 93 (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 94 (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 95 (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 96 (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 97 (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 98 (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 99 (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 100 (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 101 (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 102 (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 103 (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 104 (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 105 (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 106 (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 107 (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 108 (40)	····························································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1··························································································································································································································································································································································································································································································
check 109 (40)	·····························································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·························································································································································································································································································································································································································································································
check 110 (40)	······························································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1························································································································································································································································································································································································································································································
check 111 (40)	·······························································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·······················································································································································································································································································································································································································································································
check 112 (40)	································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1······················································································································································································································································································································································································································································································
check 113 (40)	·································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·····················································································································································································································································································································································································································································································
check 114 (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 115 (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 116 (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 117 (40)	····························································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1·················································································································································································································································································································································································································································································
check 118 (40)	·····························································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1················································································································································································································································································································································································································································································
check 119 (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 120 (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 121 (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 122 (40)	····························································································································································································································································································································································································································11····1··111···1····111··11····1111·11·1···················1···················11····1··111···1····111··11····1111·11·1···················1············································································································································································································································································································································································································································································
check 123 (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 124 (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 125 (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 126 (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 127 (32)	····························································································································································································································································································································································································································1····11·111·11······1···1····11·11·····1························1··············1····11·111·11······1···1····11·11·····1························1·······································································································································································································································································································································································································································································
check 128 (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 129 (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 130 (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 131 (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 132 (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 133 (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 134 (48)	····························································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1································································································································································································································································································································································································································································
check 135 (48)	·····························································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·······························································································································································································································································································································································································································································
check 136 (48)	······························································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1······························································································································································································································································································································································································································································
check 137 (48)	·······························································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·····························································································································································································································································································································································································································································
check 138 (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 139 (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 140 (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 141 (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 142 (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 143 (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 144 (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 145 (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 146 (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 147 (40)	··························································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1····························································································································································································································································································································
check 148 (40)	···························································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1···························································································································································································································································································································
check 149 (40)	····························································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1··························································································································································································································································································································
check 150 (40)	·····························································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·························································································································································································································································································································
check 151 (40)	······························································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1························································································································································································································································································································
check 152 (40)	·······························································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·······················································································································································································································································································································
check 153 (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 154 (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 155 (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 156 (40)	··························································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1···················································································································································································································································································································
check 157 (40)	···························································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1··················································································································································································································································································································
check 158 (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 159 (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 160 (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 161 (40)	··························································································································································································································································································································································································································································································································································································11····1··111···1····111··11····1111·11·1···················1···················11····1··111···1····111··11····1111·11·1···················1··············································································································································································································································································································
check 162 (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 163 (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 164 (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 165 (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 166 (32)	··························································································································································································································································································································································································································································································································································································1····11·111·11······1···1····11·11·····1························1··············1····11·111·11······1···1····11·11·····1························1·········································································································································································································································································································
check 167 (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 168 (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 169 (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 170 (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 171 (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 172 (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 173 (48)	··························································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1··································································································································································································································································································
check 174 (48)	···························································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·································································································································································································································································································
check 175 (48)	····························································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1································································································································································································································································································
check 176 (48)	·····························································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1·······························································································································································································································································································
check 177 (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 178 (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 179 (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 180 (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 181 (24)	························································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11···················································································································································································································
check 182 (32)	························································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1·····················11··1·1·1·11·1·11·1111·1·1··················································································································································································································
check 183 (32)	························································································································································································································································································································································································································································································································································································································································································································································111·1··11·····111111·111··1····················111·1··11·····111111·111··1·················································································································································································································
check 184 (24)	························································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1················································································································································································································
check 185 (24)	·························································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1···············································································································································································································
check 186 (32)	························································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1·················1·11··1·11·11111···111·1·····1··············································································································································································································
check 187 (32)	························································································································································································································································································································································································································································································································································································································································································································································11·1·1·11·11·11·1·1··111······1················11·1·1·11·11·11·1·1··111······1·············································································································································································································
check 188 (24)	························································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1············································································································································································································
check 189 (24)	·························································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1···········································································································································································································
check 190 (32)	························································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1·11··11·11·111·········1·············1·11·1·1·1·11··11·11·111·········1··········································································································································································································
check 191 (32)	························································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1·········································································································································································································
check 192 (32)	·························································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1········································································································································································································
check 193 (24)	························································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1··········1·111··1·1···1···1·1·1·1············1·······································································································································································································
check 194 (24)	························································································································································································································································································································································································································································································································································································································································································································································11·1·····1111·11······11·············1·········11·1·····1111·11······11·············1······································································································································································································
check 195 (24)	························································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·····································································································································································································
check 196 (24)	·························································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1····································································································································································································
check 197 (24)	··························································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1···································································································································································································
check 198 (24)	···························································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1··································································································································································································
check 199 (24)	························································································································································································································································································································································································································································································································································································································································································································································1·····1·1··1·111·11···11··················1····1·····1·1··1·111·11···11··················1·································································································································································································
check 200 (24)	························································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1································································································································································································
check 201 (24)	·························································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·······························································································································································································
check 202 (24)	··························································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1······························································································································································································
check 203 (24)	···························································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·····························································································································································································
check 204 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11·····················································································································
check 205 (32)	······················································································································································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1·····················11··1·1·1·11·1·11·1111·1·1····················································································································
check 206 (32)	······················································································································································································································································································································································································································································································································································································································································································································································································································································111·1··11·····111111·111··1····················111·1··11·····111111·111··1···················································································································
check 207 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1··················································································································
check 208 (24)	·······················································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1·················································································································
check 209 (32)	······················································································································································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1·················1·11··1·11·11111···111·1·····1················································································································
check 210 (32)	······················································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1·11·11·11·1·1··111······1················11·1·1·11·11·11·1·1··111······1···············································································································
check 211 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1··············································································································
check 212 (24)	·······················································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1·············································································································
check 213 (32)	······················································································································································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1·11··11·11·111·········1·············1·11·1·1·1·11··11·11·111·········1············································································································
check 214 (32)	······················································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1···········································································································
check 215 (32)	·······················································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1··········································································································
check 216 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1··········1·111··1·1···1···1·1·1·1············1·········································································································
check 217 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································11·1·····1111·11······11·············1·········11·1·····1111·11······11·············1········································································································
check 218 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·······································································································
check 219 (24)	·······················································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1······································································································
check 220 (24)	························································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1·····································································································
check 221 (24)	·························································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1····································································································
check 222 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································1·····1·1··1·111·11···11··················1····1·····1·1··1·111·11···11··················1···································································································
check 223 (24)	······················································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1··································································································
check 224 (24)	·······················································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·································································································
check 225 (24)	························································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1································································································
check 226 (24)	·························································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·······························································································
check 227 (16)	····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1··1··11111··········1·1··1··11111···························································
check 228 (16)	····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1··························································
check 229 (16)	·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·························································
check 230 (16)	······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1························································
check 231 (16)	·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·······················································
check 232 (16)	····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·111··1·····1·····1·1·1·111··1·····1······················································
check 233 (16)	····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111···1··11······1····1111···1··11······1·····················································
check 234 (16)	····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1····················································
check 235 (16)	·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1···················································
check 236 (16)	····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1··················································
check 237 (16)	·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1·················································
check 238 (8)	···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11····11·········11····11·······················
check 239 (8)	··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···1········1··11···1········1··1···············
check 240 (8)	······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····11··1·······1····11··1··················
check 241 (8)	········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·····1········111·····1·················
check 242 (8)	······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····1·····11····1····1·····11···············
check 243 (8)	·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·····11·······1·1·····11···················
check 244 (8)	···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1······1·····11··1······1···················
check 245 (16)	··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··11····1··1111·1··11····1··11···············
check 246 (8)	····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·111···
check 247 (8)	····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1··
check 248 (8)	·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1·
check 249 (8)	···········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111
check 250 (32)	···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111
check 251 (72)	···········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111
check 252 (142)	·····································································································································································································································································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 253 (236)	·······································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 254 (362)	·········································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 255 (520)	···········································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 256 (702)	·····················································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
check 257 (908)	·······································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

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 n1011Noisy T states per run.

outputs k1

distance d≥ 6A lower bound proved here. Its source certifies d\ge 19, and a fault of weight 19 is shown below, so d=19.

error coefficient A_{6}not definedUndefined while the distance is only a lower bound.

wires N258

checks r257

V_{\mathrm{ex}}1T states per run. CCZ counts as two.

\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d3.8614Overhead per extractable T state. Lower is better. At the certified d=19: 2.3497.

\gamma = \log(n/k)/\log d3.8614Overhead per output qubit. At the certified d=19: 2.3497.

\gamma_T = \log(n/T)/\log d3.8614Overhead per unit of T-count. At the certified d=19: 2.3497.

T-count1Minimal T-count of the output gate.

phase-polynomial degree1Minimised over changes of output basis.

effective width1Rank of the output rows modulo the check rows.

Output gate

1 T0 CS0 CCZon 1 output wire

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

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

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

Clifford correction

With every rotation a \mathrm{T}=\mathrm{diag}(1,e^{i\pi/4}), the rotations deposit the gate above times a diagonal Clifford. Undo it after the rotations and before the checks are measured, with 6 single-wire gates and 12 \mathrm{CZ} gates: \mathrm{S}^\dagger on output 0, \mathrm{S} on check 252, \mathrm{Z} on check 253, \mathrm{S}^\dagger on check 254, \mathrm{S} on check 256, \mathrm{Z} on check 257, \mathrm{CZ} on output 0, check 252, \mathrm{CZ} on output 0, check 254, \mathrm{CZ} on output 0, check 256, \mathrm{CZ} on check 252, check 253, \mathrm{CZ} on check 252, check 254, \mathrm{CZ} on check 252, check 255, \mathrm{CZ} on check 252, check 256, \mathrm{CZ} on check 252, check 257, \mathrm{CZ} on check 254, check 255, \mathrm{CZ} on check 254, check 256, \mathrm{CZ} on check 254, check 257, \mathrm{CZ} on check 256, check 257. The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.

Or no Clifford gate at all: run \mathrm{T}^\dagger on rotations 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 and 529 more (listed below), and \mathrm{T} on the rest. A power of \mathrm{T} costs one magic state, like \mathrm{T} itself. For a code this is a transversal \mathrm{T} gate, \mathrm{T}^j on each qubit.

All 553 rotations at T†

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010

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/1011.1.6.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-1011.1.6.a.txt", "w") as out:
    out.write("\n".join(lines) + "\n")

Distance

6\le d\le 19. No fault of weight below 6 is both undetectable and damaging. None of weight 6 has been found, and one of weight 19 is, so the distance lies between the two.

A damaging fault of weight 19 sits on columns [0,103,206,309,412,491,570,649,728,775,822,869,916,939,962,979,996,1003,1010].

Its source certifies d\ge 19, 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 19 above, it makes the distance exactly d=19. Source: Jain and Albert (arXiv:2408.12752), Table II: [[103,1,19]] quantum QR code (extended QR [104,52,20]) doubled onto [[805,1,17]]; the doubling theorem of their Sec. III gives d >= min(d_sd, d_tri + 2) = 19, with d_sd at least the classical distance less one (their Lemma 2.4).

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

Original source

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

Provenance

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

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

Discovery: pre-existing

1 recorded source

[
 {
  "regime": "Jain-Albert doubling: weak triply even family",
  "file": "transversal_t_codes/factories.json",
  "label": "JA-1011",
  "N": 258,
  "d": 6,
  "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": "[[103,1,19]] quantum QR code (extended QR [104,52,20]) doubled onto [[805,1,17]] (Table II)"
 }
]

Use it in code

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

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

url = "https://shubhamj810.github.io/magic-state-factory-repo/data/factories/1011.1.6.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[1302].

[\![1011,\,1,\,6]\!] factory