The circuit
The 251\times983 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.
| 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 |
|---|---|
| out 0 (983) | 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| 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 (52) | ··············································································································································································································1·1····11··1111·1111·····1·11111··1·1····111···11·1··················································1·1····11··1111·1111·····1·11111··1·1····111···11·1················································································································································································································································································································································································································································································································································································································································· |
| check 53 (52) | ·················································································································································································································11··1··11·11···11·1···11··111·111·11··1·1·1·1···11···················································11··1··11·11···11·1···11··111·111·11··1·1·1·1···11··············································································································································································································································································································································································································································································································································································································································· |
| check 54 (52) | ···············································································································································································································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1·············································································································································································································································································································································································································································································································································································································································· |
| check 55 (52) | ··············································································································································································································11·1··11111·····1·1···11·1··11·1···1····111·1·1·11·1··1··············································11·1··11111·····1·1···11·1··11·1···1····111·1·1·11·1··1············································································································································································································································································································································································································································································································································································································································· |
| check 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 (44) | ··············································································································································································································1·11···11·1·11······11·1111·1··1··········1111··1·········1··········································1·11···11·1·11······11·1111·1··1··········1111··1·········1········································································································································································································································································································································································································································································································································································································································· |
| check 60 (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 61 (52) | ·················································································································································································································111·1··111·1·1···1·11····1·1·111111···1···11··1·1········1···········································111·1··111·1·1···1·11····1·1·111111···1···11··1·1········1······································································································································································································································································································································································································································································································································································································································· |
| check 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 (52) | ··············································································································································································································11·1··1·111···111···11··1··1·11··111··1··11·111···············1······································11·1··1·111···111···11··1··1·11··111··1··11·111···············1····································································································································································································································································································································································································································································································································································································································· |
| check 64 (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 65 (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 66 (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 67 (68) | ···············································································································································································································11·11···11111111·11····1·111··111·11·11·11·11111··1··············1···································11·11···11111111·11····1·111··111·11·11·11·11111··1··············1································································································································································································································································································································································································································································································································································································································· |
| check 68 (52) | ···············································································································································································································111111111···11·1··1·1·····1·1······111111·11·1····················1··································111111111···11·1··1·1·····1·1······111111·11·1····················1································································································································································································································································································································································································································································································································································································································ |
| check 69 (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 70 (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 71 (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 72 (60) | ···············································································································································································································11··11·1·1·11·1111····1··11···1111111··1·11·1··11·1···················1······························11··11·1·1·11·1111····1··11···1111111··1·11·1··11·1···················1···························································································································································································································································································································································································································································································································································································································· |
| check 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 (60) | ··············································································································································································································1·1·11····1·11·1111··1··1··1·11111·11·11··11·1·111··························1························1·1·11····1·11·1111··1··1··1·11111·11·11··11·1·111··························1······················································································································································································································································································································································································································································································································································································································· |
| check 78 (60) | ··············································································································································································································1·1··111·1···111·1111·1···111·11·1·1···111·1··111··1·························1·······················1·1··111·1···111·1111·1···111·11·1·1···111·1··111··1·························1······················································································································································································································································································································································································································································································································································································································ |
| check 79 (44) | ·················································································································································································································11·1··1·11·1·1111···1·1·1·1·1·1··1·1·1····1································1·························11·1··1·11·1·1111···1·1·1·1·1·1··1·1·1····1································1····················································································································································································································································································································································································································································································································································································································· |
| check 80 (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 81 (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 82 (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 83 (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 84 (60) | ···············································································································································································································1111··11·····11·1·1111111111·1····1·11····111·1·1·1·······························1··················1111··11·····11·1·1111111111·1····1·11····111·1·1·1·······························1················································································································································································································································································································································································································································································································································································································ |
| check 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 (60) | ··············································································································································································································11··1·1111··11·111111··11·1·1·1··1··1···11111···11···································1···············11··1·1111··11·111111··11·1·1·1··1··1···11111···11···································1·············································································································································································································································································································································································································································································································································································································· |
| check 87 (52) | ··············································································································································································································1··1·1··1·11·111·111·1··1·1··1·11··11·····11·1·1···1··································1··············1··1·1··1·11·111·111·1··1·1··1·11··11·····11·1·1···1··································1············································································································································································································································································································································································································································································································································································································· |
| check 88 (52) | ····················································································································································································································111·1···1·1111·11····11·1···1·111··111·111·1·····································1···················111·1···1·1111·11····11·1···1·111··111·111·1·····································1············································································································································································································································································································································································································································································································································································································ |
| check 89 (60) | ··············································································································································································································1111····1·······1111··11·11111·11·1·1·11·111··1·11·1····································1············1111····1·······1111··11·11111·11·1·1·11·111··1·11·1····································1··········································································································································································································································································································································································································································································································································································································· |
| check 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 (44) | ··············································································································································································································1·11··111··11·1·····1···111·1·1·····1·111····1·1············································1········1·11··111··11·1·····1···111·1·1·····1·111····1·1············································1······································································································································································································································································································································································································································································································································································································· |
| check 94 (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 95 (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 96 (60) | ···············································································································································································································1···111··1···1·11··1··1·11·11·1111111·1··111··111·1···········································1······1···111··1···1·11··1··1·11·11·1111111·1··111··111·1···········································1···································································································································································································································································································································································································································································································································································································· |
| check 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 (52) | ··············································································································································································································1··1··11·11···11·1···11··111·111·11··1·1·1·1···11·················································1··1··1··11·11···11·1···11··111·111·11··1·1·1·1···11·················································1································································································································································································································································································································································································································································································································································································· |
| check 100 (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 101 (52) | ·················································································································································································································1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1······························································································································································································································································································································································································································································································································································································· |
| check 102 (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 103 (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 104 (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 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) | ························································································································································································································································································································································································································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 107 (40) | ························································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········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) | ························································································································································································································································································································································································································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 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 (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 116 (40) | ························································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············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) | ························································································································································································································································································································································································································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 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 (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 121 (40) | ························································································································································································································································································································································································································11····1··111···1····111··11····1111·11·1···················1···················11····1··111···1····111··11····1111·11·1···················1···················································································································································································································································································································································································································································· |
| check 122 (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 123 (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 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 (32) | ························································································································································································································································································································································································································1····11·111·11······1···1····11·11·····1························1··············1····11·111·11······1···1····11·11·····1························1··············································································································································································································································································································································································································································· |
| check 127 (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 128 (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 129 (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 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) | ························································································································································································································································································································································································································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 132 (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 133 (48) | ························································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································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) | ························································································································································································································································································································································································································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 138 (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 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 (32) | ························································································································································································································································································································································································································································································································································································1·····1··111·1·1·1···11111··1··1·1···································1·····1··111·1·1·1···11111··1··1·1························································································································································································································································································································ |
| check 142 (32) | ·························································································································································································································································································································································································································································································································································································1·····1··111·1·1·1···11111··1··1·1···································1·····1··111·1·1·1···11111··1··1·1······················································································································································································································································································································· |
| check 143 (32) | ························································································································································································································································································································································································································································································································································································1·1···1·111·1······1·11···111·11···1·································1·1···1·111·1······1·11···111·11···1······················································································································································································································································································································ |
| check 144 (32) | ·························································································································································································································································································································································································································································································································································································1·1···1·111·1······1·11···111·11···1·································1·1···1·111·1······1·11···111·11···1····················································································································································································································································································································· |
| check 145 (40) | ······················································································································································································································································································································································································································································································································································································1·1·1·1·1·11··1111·1···11··1···1111····1·····························1·1·1·1·1·11··1111·1···11··1···1111····1···················································································································································································································································································································· |
| check 146 (40) | ·······················································································································································································································································································································································································································································································································································································111·1·111···1··1·111··1··111·1·1·1·····1·····························111·1·111···1··1·111··1··111·1·1·1·····1··················································································································································································································································································································· |
| check 147 (40) | ·························································································································································································································································································································································································································································································································································································11·1··1111111····11·1·11·1111·········1······························11·1··1111111····11·1·11·1111·········1·················································································································································································································································································································· |
| check 148 (40) | ··························································································································································································································································································································································································································································································································································································11·1··1111111····11·1·11·1111·········1······························11·1··1111111····11·1·11·1111·········1················································································································································································································································································································· |
| check 149 (40) | ······················································································································································································································································································································································································································································································································································································1····11·1··1111111····1··1·11·1111·········1·························1····11·1··1111111····1··1·11·1111·········1················································································································································································································································································································ |
| check 150 (40) | ······················································································································································································································································································································································································································································································································································································11····11·1··1111111·······1·11·1111·········1························11····11·1··1111111·······1·11·1111·········1··············································································································································································································································································································· |
| check 151 (32) | ·······················································································································································································································································································································································································································································································································································································1·····1··111·1·1·1····1111··1··1·1··········1························1·····1··111·1·1·1····1111··1··1·1··········1·············································································································································································································································································································· |
| check 152 (28) | ·······················································································································································································································································································································································································································································································································································································1·1·1···11··1·1·1·11··1······1·1·············1·······················1·1·1···11··1·1·1·11··1······1·1·············1············································································································································································································································································································· |
| check 153 (28) | ························································································································································································································································································································································································································································································································································································1·1·1···11··1·1·1·11··1······1·1·············1·······················1·1·1···11··1·1·1·11··1······1·1·············1············································································································································································································································································································ |
| check 154 (28) | ·························································································································································································································································································································································································································································································································································································1·1·1···11··1·1·1·11··1······1·1·············1·······················1·1·1···11··1·1·1·11··1······1·1·············1··········································································································································································································································································································· |
| check 155 (36) | ······················································································································································································································································································································································································································································································································································································1·1·1·1····1···111111·1111·1··1··················1···················1·1·1·1····1···111111·1111·1··1··················1·········································································································································································································································································································· |
| check 156 (36) | ······················································································································································································································································································································································································································································································································································································11·1·1·1····1···111111··111·1··1··················1··················11·1·1·1····1···111111··111·1··1··················1········································································································································································································································································································· |
| check 157 (36) | ·······················································································································································································································································································································································································································································································································································································11·1·1·1····1···111111··111·1··1··················1··················11·1·1·1····1···111111··111·1··1··················1········································································································································································································································································································ |
| check 158 (36) | ······················································································································································································································································································································································································································································································································································································1·11·1·1·1····1···11111···111·1··1··················1················1·11·1·1·1····1···11111···111·1··1··················1······································································································································································································································································································· |
| check 159 (36) | ······················································································································································································································································································································································································································································································································································································11·11·1·1·1····1···1111····111·1··1··················1···············11·11·1·1·1····1···1111····111·1··1··················1······································································································································································································································································································ |
| check 160 (52) | ······················································································································································································································································································································································································································································································································································································11··11·111··11·111·11111111111··11····················1··············11··11·111··11·111·11111111111··11····················1····································································································································································································································································································· |
| check 161 (52) | ······················································································································································································································································································································································································································································································································································································111··11·111··11·111·111·1111111··11····················1·············111··11·111··11·111·111·1111111··11····················1···································································································································································································································································································· |
| check 162 (44) | ······················································································································································································································································································································································································································································································································································································11·1··11111·111···1··1111···11·1·11·····················1············11·1··11111·111···1··1111···11·1·11·····················1··································································································································································································································································································· |
| check 163 (36) | ······················································································································································································································································································································································································································································································································································································11··1··1·11·1·1··1····11··11·1··111······················1···········11··1··1·11·1·1··1····11··11·1··111······················1·································································································································································································································································································· |
| check 164 (28) | ······················································································································································································································································································································································································································································································································································································11···1····1·1····111···1·11·1·····1·······················1··········11···1····1·1····111···1·11·1·····1·······················1································································································································································································································································································· |
| check 165 (28) | ·······················································································································································································································································································································································································································································································································································································1····1·1···1··1·11·1··1·1···11··1·························1··········1····1·1···1··1·11·1··1·1···11··1·························1································································································································································································································································································ |
| check 166 (28) | ························································································································································································································································································································································································································································································································································································1····1·1···1··1·11·1··1·1···11··1·························1··········1····1·1···1··1·11·1··1·1···11··1·························1······························································································································································································································································································· |
| check 167 (36) | ························································································································································································································································································································································································································································································································································································11······111111····1·111·1···1111···························1·········11······111111····1·111·1···1111···························1······························································································································································································································································································ |
| check 168 (36) | ······················································································································································································································································································································································································································································································································································································1··11······111111····1··11·1···1111···························1······1··11······111111····1··11·1···1111···························1····························································································································································································································································································· |
| check 169 (36) | ·······················································································································································································································································································································································································································································································································································································11·11··1··1··1·1··1··111··11·1·1·1····························1······11·11··1··1··1·1··1··111··11·1·1·1····························1···························································································································································································································································································· |
| check 170 (36) | ······················································································································································································································································································································································································································································································································································································1··1·11·11·1·1·····11··1··111111································1····1··1·11·11·1·1·····11··1··111111································1··························································································································································································································································································· |
| check 171 (36) | ·······················································································································································································································································································································································································································································································································································································1··1·11·11·1·1·····11··1··111111································1····1··1·11·11·1·1·····11··1··111111································1·························································································································································································································································································· |
| check 172 (36) | ························································································································································································································································································································································································································································································································································································1··1·11·11·1·1·····11··1··111111································1····1··1·11·11·1·1·····11··1··111111································1························································································································································································································································································· |
| check 173 (36) | ······················································································································································································································································································································································································································································································································································································1··1··1·11·11·1·1·····1···1··111111································1·1··1··1·11·11·1·1·····1···1··111111································1························································································································································································································································································ |
| check 174 (36) | ······················································································································································································································································································································································································································································································································································································111·1··11111·······1···1111····11·1·································1111·1··11111·······1···1111····11·1·································1······················································································································································································································································································· |
| check 175 (24) | ································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11··············································································································································································································· |
| check 176 (32) | ································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1·····················11··1·1·1·11·1·11·1111·1·1·············································································································································································································· |
| check 177 (32) | ································································································································································································································································································································································································································································································································································································································································································································111·1··11·····111111·111··1····················111·1··11·····111111·111··1············································································································································································································· |
| check 178 (24) | ································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1············································································································································································································ |
| check 179 (24) | ·································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1··········································································································································································································· |
| check 180 (32) | ································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1·················1·11··1·11·11111···111·1·····1·········································································································································································································· |
| check 181 (32) | ································································································································································································································································································································································································································································································································································································································································································································11·1·1·11·11·11·1·1··111······1················11·1·1·11·11·11·1·1··111······1········································································································································································································· |
| check 182 (24) | ································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1········································································································································································································ |
| check 183 (24) | ·································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1······································································································································································································· |
| check 184 (32) | ································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1·11··11·11·111·········1·············1·11·1·1·1·11··11·11·111·········1······································································································································································································ |
| check 185 (32) | ································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1····································································································································································································· |
| check 186 (32) | ·································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1···································································································································································································· |
| check 187 (24) | ································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1··········1·111··1·1···1···1·1·1·1············1··································································································································································································· |
| check 188 (24) | ································································································································································································································································································································································································································································································································································································································································································································11·1·····1111·11······11·············1·········11·1·····1111·11······11·············1·································································································································································································· |
| check 189 (24) | ································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1································································································································································································· |
| check 190 (24) | ·································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1································································································································································································ |
| check 191 (24) | ··································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1······························································································································································································· |
| check 192 (24) | ···································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1······························································································································································································ |
| check 193 (24) | ································································································································································································································································································································································································································································································································································································································································································································1·····1·1··1·111·11···11··················1····1·····1·1··1·111·11···11··················1····························································································································································································· |
| check 194 (24) | ································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1···························································································································································································· |
| check 195 (24) | ·································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1··························································································································································································· |
| check 196 (24) | ··································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·························································································································································································· |
| check 197 (24) | ···································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1························································································································································································· |
| check 198 (28) | ······························································································································································································································································································································································································································································································································································································································································································································································································································111·111·11·111···11···1······················111·111·11·111···11···1····················································································································· |
| check 199 (24) | ······························································································································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11····················1···11··11·11··1··1·1··11··················································································································· |
| check 200 (32) | ······························································································································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1···················11··1·1·1·11·1·11·1111·1·1·················································································································· |
| check 201 (28) | ···································································································································································································································································································································································································································································································································································································································································································································································································································111·1·111111··1·1·1··1·······················111·1·111111··1·1·1··1················································································································· |
| check 202 (20) | ·································································································································································································································································································································································································································································································································································································································································································································································································································1·11·11···1··1·11·······1····················1·11·11···1··1·11·······1················································································································ |
| check 203 (24) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1·················11111······11···11·1··1····1··············································································································· |
| check 204 (32) | ······························································································································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1···············1·11··1·11·11111···111·1·····1·············································································································· |
| check 205 (28) | ································································································································································································································································································································································································································································································································································································································································································································································································································111·11·11·1·1·11···1·1······1················111·11·11·1·1·11···1·1······1············································································································· |
| check 206 (20) | ··································································································································································································································································································································································································································································································································································································································································································································································································································1···11·1111····11··········1·················1···11·1111····11··········1············································································································ |
| check 207 (24) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1·············111··11·······1··1111·1········1··········································································································· |
| check 208 (28) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································1·11·111····1·111·1·1·1·········1············1·11·111····1·111·1·1·1·········1·········································································································· |
| check 209 (20) | ································································································································································································································································································································································································································································································································································································································································································································································································································111···1·1·1··11··1··············1············111···1·1·1··11··1··············1········································································································· |
| check 210 (32) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1··········11·1·11··111·1·11111··1···········1········································································································ |
| check 211 (24) | ······························································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1········1·111··1·1···1···1·1·1·1············1······································································································· |
| check 212 (28) | ································································································································································································································································································································································································································································································································································································································································································································································································································11111·1·1··111·11····1·············1·········11111·1·1··111·11····1·············1······································································································ |
| check 213 (24) | ······························································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1······111··1··111··1··1·1·1·················1····································································································· |
| check 214 (24) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1······111··1··111··1··1·1·1·················1···································································································· |
| check 215 (28) | ······························································································································································································································································································································································································································································································································································································································································································································································································································11·1·111111··1·1·1··1···················1····11·1·111111··1·1·1··1···················1··································································································· |
| check 216 (24) | ·································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1······111··1··111··1··1·1·1·················1·································································································· |
| check 217 (20) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································11·11···1··1·11·······1··················1···11·11···1··1·11·······1··················1································································································· |
| check 218 (24) | ······························································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1·11··11·11··1··1·1··11······················1································································································ |
| check 219 (24) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1·11··11·11··1··1·1··11······················1······························································································· |
| check 220 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1··1··11111··········1·1··1··11111··························································· |
| check 221 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·························································· |
| check 222 (16) | ·························································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1························································· |
| check 223 (16) | ··························································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1························································ |
| check 224 (16) | ···························································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1······················································· |
| check 225 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·111··1·····1·····1·1·1·111··1·····1······················································ |
| check 226 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································1111···1··11······1····1111···1··11······1····················································· |
| check 227 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1···················································· |
| check 228 (16) | ·························································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1··················································· |
| check 229 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1·················································· |
| check 230 (16) | ·························································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1················································· |
| check 231 (8) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11····11·········11····11······················· |
| check 232 (8) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···1········1··11···1········1··1··············· |
| check 233 (8) | ··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····11··1·······1····11··1·················· |
| check 234 (8) | ············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·····1········111·····1················· |
| check 235 (8) | ··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····1·····11····1····1·····11··············· |
| check 236 (8) | ·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·····11·······1·1·····11··················· |
| check 237 (8) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1······1·····11··1······1··················· |
| check 238 (16) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··11····1··1111·1··11····1··11··············· |
| check 239 (8) | ········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·111··· |
| check 240 (8) | ········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1·· |
| check 241 (8) | ·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1· |
| check 242 (8) | ···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111 |
| check 243 (32) | ·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111 |
| check 244 (72) | ···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 245 (140) | ···········································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 246 (232) | ···············································································································································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 247 (348) | ···························································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 248 (496) | ·······································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 249 (676) | ···················································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 250 (880) | ·······································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
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 n983Noisy 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 N251
checks r250
V_{\mathrm{ex}}1T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d3.8457Overhead per extractable T state. Lower is better. At the certified d=19: 2.3402.
\gamma = \log(n/k)/\log d3.8457Overhead per output qubit. At the certified d=19: 2.3402.
\gamma_T = \log(n/T)/\log d3.8457Overhead per unit of T-count. At the certified d=19: 2.3402.
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 59 single-wire gates and 55 \mathrm{CZ} gates: \mathrm{S} on output 0, \mathrm{Z} on check 52, \mathrm{Z} on check 53, \mathrm{Z} on check 54, \mathrm{Z} on check 55, \mathrm{Z} on check 59, \mathrm{Z} on check 61, \mathrm{Z} on check 63, \mathrm{Z} on check 67, \mathrm{Z} on check 68, \mathrm{Z} on check 72, \mathrm{Z} on check 77, \mathrm{Z} on check 78, \mathrm{Z} on check 79, \mathrm{Z} on check 84, \mathrm{Z} on check 86, \mathrm{Z} on check 87, \mathrm{Z} on check 88, \mathrm{Z} on check 89, \mathrm{Z} on check 93, \mathrm{Z} on check 96, \mathrm{Z} on check 99, \mathrm{Z} on check 101, \mathrm{Z} on check 152 and 90 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.
All 114 correction gates
\mathrm{S} on output 0, \mathrm{Z} on check 52, \mathrm{Z} on check 53, \mathrm{Z} on check 54, \mathrm{Z} on check 55, \mathrm{Z} on check 59, \mathrm{Z} on check 61, \mathrm{Z} on check 63, \mathrm{Z} on check 67, \mathrm{Z} on check 68, \mathrm{Z} on check 72, \mathrm{Z} on check 77, \mathrm{Z} on check 78, \mathrm{Z} on check 79, \mathrm{Z} on check 84, \mathrm{Z} on check 86, \mathrm{Z} on check 87, \mathrm{Z} on check 88, \mathrm{Z} on check 89, \mathrm{Z} on check 93, \mathrm{Z} on check 96, \mathrm{Z} on check 99, \mathrm{Z} on check 101, \mathrm{Z} on check 152, \mathrm{Z} on check 153, \mathrm{Z} on check 154, \mathrm{Z} on check 155, \mathrm{Z} on check 156, \mathrm{Z} on check 157, \mathrm{Z} on check 158, \mathrm{Z} on check 159, \mathrm{Z} on check 160, \mathrm{Z} on check 161, \mathrm{Z} on check 162, \mathrm{Z} on check 163, \mathrm{Z} on check 164, \mathrm{Z} on check 165, \mathrm{Z} on check 166, \mathrm{Z} on check 167, \mathrm{Z} on check 168, \mathrm{Z} on check 169, \mathrm{Z} on check 170, \mathrm{Z} on check 171, \mathrm{Z} on check 172, \mathrm{Z} on check 173, \mathrm{Z} on check 174, \mathrm{Z} on check 198, \mathrm{Z} on check 201, \mathrm{Z} on check 202, \mathrm{Z} on check 205, \mathrm{Z} on check 206, \mathrm{Z} on check 208, \mathrm{Z} on check 209, \mathrm{Z} on check 212, \mathrm{Z} on check 215, \mathrm{Z} on check 217, \mathrm{Z} on check 245, \mathrm{Z} on check 247, \mathrm{Z} on check 249, \mathrm{CZ} on check 52, check 249, \mathrm{CZ} on check 53, check 249, \mathrm{CZ} on check 54, check 249, \mathrm{CZ} on check 55, check 249, \mathrm{CZ} on check 59, check 249, \mathrm{CZ} on check 61, check 249, \mathrm{CZ} on check 63, check 249, \mathrm{CZ} on check 67, check 249, \mathrm{CZ} on check 68, check 249, \mathrm{CZ} on check 72, check 249, \mathrm{CZ} on check 77, check 249, \mathrm{CZ} on check 78, check 249, \mathrm{CZ} on check 79, check 249, \mathrm{CZ} on check 84, check 249, \mathrm{CZ} on check 86, check 249, \mathrm{CZ} on check 87, check 249, \mathrm{CZ} on check 88, check 249, \mathrm{CZ} on check 89, check 249, \mathrm{CZ} on check 93, check 249, \mathrm{CZ} on check 96, check 249, \mathrm{CZ} on check 99, check 249, \mathrm{CZ} on check 101, check 249, \mathrm{CZ} on check 152, check 247, \mathrm{CZ} on check 153, check 247, \mathrm{CZ} on check 154, check 247, \mathrm{CZ} on check 155, check 247, \mathrm{CZ} on check 156, check 247, \mathrm{CZ} on check 157, check 247, \mathrm{CZ} on check 158, check 247, \mathrm{CZ} on check 159, check 247, \mathrm{CZ} on check 160, check 247, \mathrm{CZ} on check 161, check 247, \mathrm{CZ} on check 162, check 247, \mathrm{CZ} on check 163, check 247, \mathrm{CZ} on check 164, check 247, \mathrm{CZ} on check 165, check 247, \mathrm{CZ} on check 166, check 247, \mathrm{CZ} on check 167, check 247, \mathrm{CZ} on check 168, check 247, \mathrm{CZ} on check 169, check 247, \mathrm{CZ} on check 170, check 247, \mathrm{CZ} on check 171, check 247, \mathrm{CZ} on check 172, check 247, \mathrm{CZ} on check 173, check 247, \mathrm{CZ} on check 174, check 247, \mathrm{CZ} on check 198, check 245, \mathrm{CZ} on check 201, check 245, \mathrm{CZ} on check 202, check 245, \mathrm{CZ} on check 205, check 245, \mathrm{CZ} on check 206, check 245, \mathrm{CZ} on check 208, check 245, \mathrm{CZ} on check 209, check 245, \mathrm{CZ} on check 212, check 245, \mathrm{CZ} on check 215, check 245, \mathrm{CZ} on check 217, check 245
Or no Clifford gate at all: run \mathrm{T}^3 on rotations 105, 107, 108, 109, 110, 113, 114, 119, 124, 125, 126, 127, 128, 130, 136, 137, 139, 141, 142, 143, 144, 148, 149, 150 and 216 more (listed below); \mathrm{T}^\dagger on rotations 0, 1, 3, 8, 9, 12, 13, 14, 15, 17, 18, 19, 20, 26, 28, 29, 30, 31, 32, 35, 37, 42, 43, 44 and 3 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 240 rotations at T³
105, 107, 108, 109, 110, 113, 114, 119, 124, 125, 126, 127, 128, 130, 136, 137, 139, 141, 142, 143, 144, 148, 149, 150, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 209, 212, 213, 214, 215, 216, 217, 220, 222, 225, 226, 230, 233, 237, 238, 239, 243, 246, 247, 249, 250, 252, 253, 254, 257, 307, 310, 313, 314, 315, 316, 317, 318, 321, 323, 326, 327, 331, 334, 338, 339, 340, 344, 347, 348, 350, 351, 353, 354, 355, 358, 568, 569, 570, 571, 572, 573, 577, 579, 580, 583, 584, 589, 591, 593, 594, 595, 599, 600, 637, 638, 639, 640, 641, 642, 646, 648, 649, 652, 653, 658, 660, 662, 663, 664, 668, 669, 799, 802, 803, 809, 810, 811, 812, 813, 814, 816, 817, 818, 821, 842, 843, 845, 846, 849, 850, 851, 852, 853, 860, 864, 865, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 888, 892, 893, 894, 896, 898, 910, 911, 915, 916, 917, 919, 921, 933, 935, 936, 938, 944, 950, 951, 954, 956, 957, 958, 959, 960, 962, 963, 964, 965, 966
All 27 rotations at T†
0, 1, 3, 8, 9, 12, 13, 14, 15, 17, 18, 19, 20, 26, 28, 29, 30, 31, 32, 35, 37, 42, 43, 44, 48, 49, 51
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/983.1.6.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-983.1.6.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 [0,103,206,307,408,487,566,635,704,751,798,843,888,911,934,951,968,975,982].
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 I: [[103,1,19]] quantum QR code (extended QR [104,52,20]) doubled onto [[777,1,17]]; 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); the [[69,1,13]] input's distance is proved here by enumerating every word of SD70 through the punctured coordinate.
A fault is a set of faulty columns. It is undetectable when their check parts cancel, and damaging when their output parts do not.
Original source
S. P. Jain and V. V. Albert, "Transversal Clifford and T-gate codes of short length and high distance," IEEE J. Sel. Areas Inf. Theory 6, 127-137 (2025); arXiv:2408.12752. doi.org/10.1109/JSAIT.2025.3570832
Provenance
a code of the triorthogonal family of Jain and Albert (arXiv:2408.12752, Table I; transversal_t_codes/), self-dual CSS codes doubled onto [[95,1,7]], rebuilt here from the paper's construction; a verified witness, not a maximum
Found by: Jain-Albert doubling: triorthogonal family
Discovery: pre-existing
1 recorded source
[
{
"regime": "Jain-Albert doubling: triorthogonal family",
"file": "transversal_t_codes/factories.json",
"label": "JA-983",
"N": 251,
"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 [[777,1,17]] (Table I)",
"notes": "its [[69,1,13]] input is the self-dual [70,35,12] code found by transversal_t_codes/search_sd70.py, whose words through the punctured coordinate all weigh at least 14, in place of the paper's [70,35,14] code, which is only formally self-dual"
}
]Use it in code
Load this factory and re-derive every number from its circuit with the catalogue's own verifier.
# git clone https://github.com/shubhamj810/magic-state-factory-repo
# cd magic-state-factory-repo/master_catalog
import json, urllib.request
import verify_catalog as VC
url = "https://shubhamj810.github.io/magic-state-factory-repo/data/factories/983.1.6.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[1297].