The circuit
The 102\times430 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 |
|---|---|
| out 0 (175) | 111··11····1·····1111··1····11·1···1·11····1···1··1·11···11··1··1·······111··11···1······1····111··11····11·1·1111···11·11111·····1···1·111···1·1111········1··1····1····111·11·11··1111·111·1·111··111·1··1··111····11···1········1111·······1····11·1···1·1·1·····1·····1·····1·11··11·1···1········111··11····1····1····111·11····11···11·111···11·11·1·11·····1····1··111···111·1·1········1···1·1··11·1·1·1·11···111··111·111·1··1111·1·· |
| out 1 (175) | 11···1·1··11··1111·1··1111··11·······1··1··1·1·11··11···111··1··1··111····11·1·1·11·1···1····1···1·11·1··1·1··1·1·111111·1······11··1····1·······11·1·1·1···11···1··1·1····11··11·1···1·1····1··11·1·11··1·11·11·····1·1·11····11·11·1····1·1·111··11·······1···1···1···1·11·····11··111·1···1··111·····11·1·1··111··1····1···111·1··1···1·1··1·111111·1·······11···1······1······1·1··11··1···11···111····11···11··1···1·1····1·1·1·1·11·111· |
| out 2 (183) | ··1··1·11····1·11·1···11·1·11···1·····1·1·111···1·111···111·11··1·1··111····11·1··1····111···11·1·····1···1······1·····11111·1··1111···1111·11···1111·1·1·····1·····1····11·1···11··111·11·111·1·11·111·1····1··1····1·11····1··1·1·1·······1·1·1·11···1·····11·1··111·····1····111··11111···1·1··111·····11·1···1··111···11·1····1···1········1·····111·1·1·1·11·11····1·111·11··1·1·111··1·····1···1··11··1····11···111·11·1111··11·1111···1 |
| out 3 (95) | ················1111···11·····11·····11···1·1···············11··11·····1···1··1··1··1·····11·····1···················1111·······11····11····1·1···11····················11···1····1···1·1····1··1····11·····1·····················1111········11·····11·····1·1····1·1··················11···11·····1····1··1···1·1····11·····1····················1111········11······11·····1·1···1·1················11····11·····1···1·1····1·1·····11···1· |
| out 4 (167) | ·11··1··1·11·11···11···11··1·11·1····11···1··1····11········11····1·1·1···111·1··1··1··1······1·1···1····1·1··1·111111··1·1111··1·111·111·1·1···········1···111··1····1···11·····1··11··11·11··11·11····11·1·1·11····1··111··1·1····11········11··1·11·1····1·1····1····1·······11······11·····1·1·1····111·1···1·1·1······1·1··1····1···1·1··111111··1··1·111·1··111··11·1·1·1············1···1111·1·1··1·1······1···11··11·11·11··11···111·1 |
| out 5 (151) | 1·11··1···11·11·1·1·····1··1·1111··1·1111·1····1··1·11···1··11····1···1······1·1·1··1··1··11·1·1···1········1··1·11·11·····1·1···11··111····11··1··1·····1·····1·11·1·1·1··1··1·1·····1·1···11·····1111·······1·1·1···1··11··1·1··1·1··········1··1·1111··1·1·111··1······1·····1·11··1·11·····1···1·······1·1··1·1·1··11·1·1··1··········1··1·11·11·······1·1··1·1··1·11·····11·1····1······1·····11111···1···1·1······1·1···11·····1111····· |
| out 6 (175) | ···1··1·1··1··11·11····1····1111·1·1·11······1··1···1···11··111···111·1·1···11·1·1····11··1···1·11···11··1····1·1111·1·1··11·1····111···111·111·111···1·11··1·1·····1·1·111····1······1·1·11···111····1·11·11·····1···1·1·1····11··11·········1····1111···1·1·1·········1··1······1··11·11·1···111·1··1···11·1··1··11··1···1·11··11··1·····1··1111·1·1···1·1·1····111·····111·11111·1···1··1·1·1·1···11111······1·······1·1·11··11·1····11111· |
| out 7 (183) | ·····11······11·111·1········11···11··1·1·1111··1···11··111·111·1·11·11····1·1····1···1··1···1···1·1·11··1·11··1·111·····1·1·1····1·111111··111·11·1···11·1·111··········111·11111······11·1·1·11·1·1·1··1··11·······11······1·1··111·1·············11···11···1·1··111··1··1·1····11·11111·1·1·11·11·····1·1·····1·1··1···1···11·11··1···11··1·111·····1···1·1····1·11·11·11··11111···1··1·1··1111······11·1·1·1111·······11·1·111··1·1·1·1·11 |
| out 8 (167) | 1·11··1········111··1··1···11111··11·11·1····1·11·1······11·111·1·····111··111·1·1····1·11·1·1··1··1··1··1·1····11·1·····111·1····11····1···111··11···1··1·····1········111··11·1·1·····1·11···1111111·····1··1·1·1···1·········1·11··1·······1···11111··11·1·1·1·······1·11···11·····1111·1·1·····11·1··111·1··1··1·11·1·1··1·1··1··1···1····11·1·····1·1·1·1····11······1···111·1·1···1····1·····1···111···1·1·1··1·····1·11··11·11111···1·· |
| out 9 (167) | 1111·11·1··1·······11·······11····11·11····1·1···1··1···111·1···1···1·111·1··111··1········1··1·····1····1·1··1·11·1·1··11·111··111·1·1·111··11·1·1···1111··1·11····1·····1··1···11·111···1··1··111··11·1·····111·1··11·1·1··········11············11····11·1·1·····1···1·········1··1111····1···1·11·1·1··111···1······1··1····1····1···1·1··11·1·1··11···111·11·1·1··1··111··111··1···11·1·1·1·1·1·1···1···1····1·1·111···1··1·1·11··111···· |
| out 10 (207) | ·1····1·1··1····1·111·1·11·1111·1·······11··11··1·1·11···11···1·1··11·111111111··1··1·1111··1··11··1111··11·1·1111·1··1·11·1·1··1111·1·11·1··11··1111·111···11······1···1·11·1·1····1···11111··111··111·1·1····1······1·1·1·······1·111·····1··11·1111·1········1·1··1··1··1····1·11··11···1·1··11·11·1111111···1·11111··1··11·1111··11···11·111·1··1·11···1·1·11·11·1··1·1·1··11·1·1·1111·1···11····1·1·1·1·1··1·····1···11111·11·1··1111···· |
| out 11 (183) | 1····1111·1··111··111·1··111··11··11··1···1·11·1··11·1··1·1·111·1·1··11·······11·1··1·1·1111····11···1····111··1111·1111···111······1·1·1····11·1·111··1·········1········1·1·1·1·1··11·11·1···1·1111·1·····111······11111···1·11···111·····1···1·1··11··11···1····1·1··1·1·····11·1·1·111·1·1·1··11········11··1·11·1111····11··1····1··11··1111·1111·····111······1··1··1····111··1·11·1··········1····1··1··1·1··1··11·11·1··1··1111·1···11 |
| out 12 (167) | 1·11·11···1···11·1··1··1···1···11·1··1·1·1·111··1·1··········1·······111····1·11··1···11··1111·11··1·11····1···1··1·111·11·1·1··1··111···11···1·11·······1···1·1·1··1···1·1·1···111······1·11·····111···11·1111·1·1··11··1·····11··1··1·······1···1···11·1··1··1··1·11·11··1····1········1········111·····1·11···1·11··1111·11·1·11······1···1··1·111·11···1·1·1···111·····11···111··········1··1··111·1·1··1····11·1······1·11·····111··11111 |
| out 13 (159) | 1··1·111·····1····111····1·1··11···1·1··1····1·1··111····1··1·1·1·1·1······1·1·1·1·····11·11··1111···1····1······1·1111·1··11·····1··11·1·1·1·1····1···1·11····1······1··111··1··1···1··11·1···11·1···1··1·1111···11·111·····1······111·········1·1··11···1·1···1·······1·1·····111···1·1··1·1·1·1·······1·1·1··1···11·11··1111··1····1········1·1111·1····11·····1··1·1··1·1·1·1·····1··1···11····1··1·11·1···1··1····1··11·1··11··1···1·1111 |
| out 14 (159) | 1····1·1··1··111···1···1·····11·1··1·1··11··11··1··11·1·11··1···1·1111··11··111··1··1·11····1······1··1··1·1······111··1·1··1······11·······1·1·1111········11······1···11·11·111···1···111·11···111··1·1····11······1·1·1···1·11····1········1·····11·1··1·1···1·1··1··1··1·····11··11·1····1·1111···11··111···1·111····1·····1··1··1···1······111··1·1····1······11·········1·111·1·1········11····1·11··11··111····1···111·11···111··11···1 |
| out 15 (167) | 1·1··1111····111·1·11·1111·····11·1··111·1·1···11·11····11··1·1···111111·11···11·11·····11·11······1··1·11·······11····11·11·1··1·······11··········1·1····111·1····1·1····1·1·1·1······11·11··1·1····1··1·1·11·1····1111····1·11··1·11·····1·111·····11·1··1·11··1·1·····11····11···11·1··1···111111··11···11··11···11·11·····1··1·11·········11····11··1·1·1·1··········11···········11······11··1·11····1·1··1·1·······11·11·1··1····1·11·1 |
| out 16 (175) | ··11···1···1····11·11·11···1111···11·1··1··11··11·11····111··1··1···1·1···1··1····1·····1·11··1·11··111··1·1··111····1111·1·11··1····111·11··1····11····11··1·11······1··1·1··1·111··1···1·1····1111··1·1··11···1·1····1··1·······11·11·····1·1···1111···11·1···1···11····11····11···111·1···1···1·1····1··1·····1···1·11··1·11·111··1···1·1·11····1111··1··11·1·····1·11··11··1····1·1···11·1·1·1·1··1·1··1···1·11·1··1···1·1···1·111··11·11· |
| out 17 (159) | 1······1·····1··11··1···1··1·1·1··11··1··1·11··1··111····1··1·1·1··1·1··1···1·11··1·1·1·11111···1····1····1····1···1·1·1111·1··11··11·1··11·1·1····1···1·····111····1······11111····1···1·11·······1111··1·1··1········1·····1····11··1········1··1·1·1··11···1···1·11····1·····111···1·1··1·1··1·1··11···1·11···111·11111···1···1····1······1···1·1·111·1··1·11···11··1···11·1·1·····1··1······11·1·1·····111·11·····1···1·11·······1111·11·· |
| out 18 (175) | 1····1111·1··11111··1··111·1·1··1··1·1··1··111·1··11·1···11·111·1·1·1·1111·1·1·1··1·······11···1·1·1···1·1111··1··1··1·1·····1·······11··1······1·1·····1·1·1····1··1·1··1·1··1·1·1··11·1·1·1···11···11·11··111······11111···1·11·11··1·······111·1·1··1··1·1···1···11··1·1·····11·1··1111·1·1·1·1·11·11·1·1·1···1·····11···1·11·····11··11··1··1··1·1·······1·······1·1···1·····1··1······1··11····111·1··1···1·1··1··11·1·1·1··1·1···1111·11 |
| out 19 (199) | ·1·1·1·1··11··1·1·11·······1·11·1·1111···1111·····1111···11·1·1·1·11·1111111·····11···111·1111111···1····1··1·111·1·1111·1···1··1···1····11··11··1····1··1··1111·1··1·1·11··1·11·11·111··11·11··1····1·····1·1·1··1··1·1·11····1··1·11············1·11·1·1111·····1111··········1111··111··1·1·11·111·1111······11·111·1111111··1····1····11·11·1·1111·1·····1·1····1······111·11·1·····1····1·111·111111···1··11·1·1·111··11·11·1·····1···1·1 |
| out 20 (159) | ·11···111·1···1111············1·1·1···1··11········1·1····1···1····11·11·1·1·111·1····1·1··11··11··11······11··1·11·1···11·11····11·111·1·1·····1111··111·····1··1··1···111·11·1·11······1··1····1···1·····1·1·11·····1111·····11·11·················1·1·1····1···11·············1·1···1···1····11·11··1·1·111··1··1·1··11··11·11········11··1·11·1···11···11···1·1·11·1··1·1····11·1·1·11·1·····1··11·111··11··1·111······1··1····1···1···1·1 |
| out 21 (167) | 111···11···1·11·1···1···1····1·······1···1··1···1··111······1···1·1111·1111·1··1······1·····11···1·1111··1·11·111·11·1·11···1···11·1·111··1·11····11··1·····1·1·····1······11·111·1·11··1·11···1·11···1·····11111·····11··1··1·1··1···1········1····1·······1····11··1·····1·····111····1····1·1111·1·111·1··1·····1·····11···11111··1···111·11·11·1·11·····1··11··1·1·11···1·11····1·1·1······1·1···1·····11··111··1·11··1·11··1··11···1···11 |
| out 22 (183) | 111·····1·11··1···1···11·1·11111···1·11··11··1·1··1·······1·····1··11····11·111··········1··1·1111·11····111··1··11111····111···1·11··111···111··1·11·······111··1······1111·111·11·1·1··1·1·1··1·1·1·1·11··11111·······111····1····1·······1·1·1·11111···1·1·1···11····1·1·····1······1·····1··11·····11·111··1······1··1·111111····11··1·1···11111·····1·11··1··11···11·1···111·1···11·······111··1··111·1·1·11·1·1·1·1··1·1·1·1··1·1·111·11 |
| out 23 (175) | 1111·1·11··1·111·111··1··1··1···1·····1·1·1111·11··11···111·1···1·1·1111··11··11·11···1···11···1···11·1··1·1··11·1···111·1·111····1···1111·······11·1·1··1··11·1·······1··1·1·1··········1111····1·1·····1·1··111·1··1·11·1··1·11··111······1···1··1···1······1·1··111··1·11·····11··1111····1·1·1111···11··11··11·1···11···1··11·1··1···1·1·1·1···111·1···111····1····11·11······1·1··11····1·11··1·····1··1··1···········1111····1·1····11·· |
| out 24 (143) | ·····1··1······1·1······11·1··111··1·1···1·111·11·1·1········11·····1111···111·1·11·1·111···1·11·1·1··1···················1·111··1·1·111·1···11·····1·111····11·········11····1·1····11·11··11·············11········1··1·······1··1···········11·1··111··1·1·····1·11··1·11····1·1······1·1·····1111····111·1··111111···1·11·11··1······················1··11··1··1·1·11··1···11······111·1····11·····11······1·1·····11·11··11···········11· |
| out 25 (183) | 1······11·1··11111·····1···1·1··1·11··1··111····1·11·1···11···1··11··11111·1·1·1·1··1·11·1111·111·····1···111··1··1111·1111·11·········1········11·1··11·····11··1··1·1··1·111····1·1·1····111·1·1111···1··1·11········111···1·11·11···1······1···1·1··1·11···1···111······1····11·1··11···1··11··111·11·1·1·1··1·111·1111·111····1···1··11··1··1111·111·1··11··········1········11···1·11······11··111·1··111······1·1·1····1111··1111··1·1·1 |
| out 26 (183) | ··11·1····11·11··1111·11·1·1·11····1·11··1·····1·····1····1········1111··1111····1····11··1·11··1··1··1··11·1·11111·111111·111··111111111·1·1·1···1·1·11·1··1····1··1····11····1··1·····11·1···1111··1·······1··111··1···11··1·1···1111·····1·1·1·1·11····1·1·1···1·······1········1···1········1111···1111·····1··11··1·11··1·1··1··11···11·1111·111111···111·11·1111·11·1·1·1·1···1··111···1·1····11··11······1···1·····11·1··11·11··1·····1 |
| out 27 (151) | ··1··11···1····1····1·11·1····11·····11·111·1··1·····1··11···1··1·····11···1··1·····1··11111111111···1······1··11···1····1···1··11····111···1·1·111·1···1····11··1······1····1······111·1·······1·1111··11··1···1····11··1······1·····1·····1·1·1····11·1···1·1·1·11·1····1········1·11··1···1·····11····1··1·····1·11111111111··1········1··11···1····1·····1·11······11·1···1·111·1··1···1····11··1··1·····1········111·1······1··1111·11·1· |
| out 28 (175) | ·111·1·1···1·1·1·1·1····1···11·1·····11·11··11··1·111···1·1·1·····1·11111·1·1111····1·1···1·1·11···1111··1·1··1·1··1··1··11·11··1··11·11····1·1·1·1····1·1··11······1·1·1···11··1·1·11····1·····11···1··11···1·11·1··1·1··1··1··1··1·1·········1···11·1·····1·1·1·1··1··1··1····111··1·11······1·1111·1·1·1111····11···1·1·11··1111··1·1·1·1··1··1··1··1·1··11·1···11··11·····1·11··1····1···1·11····111····11···1··1·11····1····1·1···1·11··1 |
| out 29 (167) | ·11··1··1·11···11·11··1··1·111·1··11·1··11···1·11·1·1···1·1··11····11·111·111····1··1····1··1···1··11·1··11···1··1·11·1·1··1·1··1·111·111·1·1····11·1·11····1·1··1··1·····11···1········11··········111·1······11····1··111·····1·1·11······1···1·111·1··11·1···1·1·····1·11····1·1··1·1·1·1····11·11·1·111···1·1·1···1··1···1·11·1··11····1···1·11·1·1····1·1·1··111··11·1·1·1···1·1··111·····1·1··11···1·1····1·········11··········1111···· |
| out 30 (175) | 1·11·11···1··1··11··1··1···1···11·····1··11·1··1··111···1·1·111···11·111···1··11·1··1··1111111·····1············11··1··11·1111··1·1·11··1·1··1··1·11··1··1···1·1·1··1···1·1111·11·1······1·11··11···1·1·1····11·1·1··11··1···1····11··1·······1···1···11······1···11·1····1·····111··1·111·1···11·111····1··11··1·1·1111111····1········1·····11··1··11··1·111·1··1·11····1·1··1·1··1·1·1····1··1··111·1·1·111··11··1······1·11·11····1·11···1 |
| out 31 (167) | 1111··11······1·1·11···11···11····1···1··1·111····1111·······11·1··1111·1·11·111··1····1·1·11·11···111···1········11·111·1···1···1··1·11·1··1·1··11······1··1··11·······11··1··111···11···11···1·11·1···1····1111·1···11·······1··1·11········11···11····1····1···1·11··1·······1111·····1·1·1··1111··1·11·111···1··1·1·11·11··111···1··········11·111·1·····1··1···1··11··1··1·1·1·1········1·1···1···11···1···111····11···11··1··11·1··1···1 |
| out 32 (175) | 11········11·11·1111··1··1···1·1···1····11111·11··················1·1·111·1····1··1···111·1·1····1·111···11···1·11111·1·1·1111··111··11·111·1······11··1····11···1····1·1111·····1··1·1·1·11·1·11·11····11·11·11·········11··1·1··1111······1···1···1·1···1·····1·1111····1····················1·1·11·1·1····1···1·111·1·1····1111···11····1··11111·1·1··1·111·11·1··1·1··111·1·······11·1·····11···1·1111·1······1···1·1·1·11·111··11···1111· |
| out 33 (159) | ·111···1···1·1··1·1·1·1··1·····11·····1·1··11··11·1111··111·1·····1·1··1·1·11····11·····1·1···11···11·1·1·111·11·1······1··1······11·1·111··11······1·11·1···11·········1·11111·····11··1···1····11········1·1·11·1·1··1··1··1····1·1·1·····1···1·····11······1·1···11····11····1111·1111······1·1··1··1·11·····11···1·1···11··11·1·1·1··111·1·1······1····1······11·1··1·11··11·······111···1··11·····1·1·111·1······11··1···1····11······1·1 |
| out 34 (191) | 1111······11··1··1····1··1·1111···11·11··11····11·1··1·······11·····1··1111111···1·······1111·1111·11·1··1111·11·11111····11····1111···11···111·1··11····1··1111·1··1·1·1·11··1·········1111···11·1·1·1·11··1·111·1······11····1···1········1···1·1111···11·1·1···11······11····1··1·····1·11····1··1·111111····1·····1111·111111·1··11··111·1·11111·····1·1···11·11····1·1···1111····11·····1·111·11111·1·1···1··········1111··11··1·1·111·1· |
| out 35 (175) | 1····1111·1······1··1···1··1···11·111·····11·1·1··11·1··11··1···1·1·1·1·11·11··1·11···11·1·····1·····1····111··11···111··111·1··1111111·11··1·1·1··1···1·········1······111··1······1···11111··11·1111··11···11······11111·········1··1········1··1···11·111·······11···1·1·····11·1·11·1····1·1·1·1··11·11··1··11·11·1·····1····1····1··11··11···111··1·1·1·1·11·1111·1··11··1·11····1··1··········1··111···1········1···11111·111·1111·11··1 |
| out 36 (159) | ···1·1111··1·1····111·11·1···111··11·1·····111·1··111·········1···1·11··11·1···1·11····1···1··1·1········111··1·1··1··11·········1·····1·11··11···111···11··1··1········1···111·111··11···1·11··11·1··1·1····1····1··1111·1··1······111·····1·1·1···111··11·1·······11··1·1·····111········1···1·11···11·1···1··11··1···1··1·1·······11··1·1··1··1··11··········1·······11·11··11···1·11···1·1·1···1···1····11·1·11·1··11···1·11·1·1·1··11···1 |
| out 37 (151) | ·1·1·1·····1···11·11·······1··1···1·····1··1·1·11·1·1···1·11··1·1·111··1··1··1····1·····11···1111··11·1··11···11··1··1111··············1·11·····11·1···111··1·11······1·1····1111·1··1····11·······11·1·1··1·1·1··1··1····1·····1·1·11············1··1···1······1···1···1·11····1·1··1·1···1·1·111··1···1··1·····1···11···1111·11·1··11····1·1··1··1111·················1··11····11···1··1·1·1·1·1·1··11·····1·111··1··1····11·······11·11·1·1 |
| out 38 (167) | 111···11···1·····1·1···1·····111··11···1··1·11··1··111··11··111·1··11···11111·11·1·····111·1·11····1111··1·11·1·1··1·1··11·1·······1·1····1··1··1··1·11·····1·1·····1····11····1····111···11·1··1··1·11··1··1·111·····11··1········1·1········1·····111··11····1···1·1··1··1·····111·11·11·1·1··11····11111·11··1···111·1·11···1111··1···111··1··1·1··11···1·······1·1······1··1·1····1·1······1·1···1··11······1·····111···11·1·1···1·11·1·1· |
| out 39 (191) | 11···1·1··11·1111·····1111··1·111·····1·1·1111·11··11···11··11····111111··1·11·1·11·····1·11·1·····1111···11·11··11·····1111·1··1·111·1·111·1····1111···············1·1··11·11·1·1··1·1·11·11··1·1······11·1·111·····1·1·11··1·11·1·········1·111··1·111······1·1··111··1·11·····11··11·11·····111111···1·11·1··11···1·11·1····1111···1··1·1···11·····11·1·1·1·1··111··1··111·1···1·1·11·············11·11··11··1·1···1·1·11·11·1··1·····111·1 |
| out 40 (175) | 1111···11··111···111··1··1··1·111·1···1···1111·11··1·1···11·1·1·1·1·1111··11·111·1·····1··11···1···11·1··1··1·1··1···1·1·1·111····1·1·111···11···11·1·1··1··1··1···1····1·1·1·1··········1··1··1·1·1·1···1·1··111·1····11·11·1·····111······1···1··1·111·1····1····111··1·11·····1·1··111··1·1·1·1111···11·111··1···1··11···1··11·1··1····11···1···1·1·1···111····1·1··11·1···11··1·1··11····1·1···1···1·1··1··1···········1··1·1··1·1·1··11·· |
| out 41 (175) | ···1·1·······11·1·1···11·1·11·111··1·11··11111·1··1·11····1·········1·1111··11·1··11·····11·1·1111·1········1··11·11·1····1··1···1·1·····11··1··111·1··111···111····1·1·1··1··1·1····1··11111···11111·1·····11····1··1·······1·1··1·1·······1·1·1·11·111··1·1·1···1111··1·1·····1·11···1·········1·11·11··11·1···1····11·1·11111··········1··11·11·1·····1···1··1··1·······11··1·11·1··1·1·1·1··11·1·111···1···1·1·····1··11111··1·1111·1···11 |
| out 42 (167) | ·1·····1······111···1··1···1·······1··1·1111····1·111···111·····1··1·1·1·1111··1····1··1111·1111·1··111····1····111·····1·11····1·111···11··111···11··1·1·····1·····1···1·1·1·11111·11···1···11··1·11···1···11·1·······1·······11·1···1·······1···1·······1···1·1·111······1····111··111·····1··1·1·1··1111··1····1·1111·1111·1·111······1····111·····1··1·1···1··111·····11··111···1·1·1··1·····1···1·1·1··1··1111·1·11···1···1···1·11··1··11 |
| out 43 (183) | ·11··1·1··11·11·······1111···11·······1·1······11·11····11··11····1·1·1·11·1··11·······11111··111···111··1·1··1···1·1··111··11·····1·1·1··1··11·1·111·1·1···1111·1··1···1··1111·111··11···11···1···1111·11···1·11····1·1·11··1·1············1·111···11········1·1·········11····11···11·11·····1·1·1··11·1··11······11111··111··111··1···1·1····1·1··111····11·····1·1··1···1··111··1·111··1···111·111·1···111·1·11·1··111··11··1····111111··1 |
| out 44 (167) | 1·1····11·····1·1·1··11··1·11·1·1·1··1············11·····1··111·1·11·11····1·111·1··1·1·11···11·11········11····111···1111··11····1···1·1·1·1·1·1···1·111····11·······1·111·1·111·1··1···1··1···11··11··11··111·1······11······1··1·1·······1···1·11·1·1·1··1···················11····1·11·1·1·11·11·····1·111··1·11·11···11·11·······1··1····111···1111····11····1····1··1·1·1·11·····111·1····11····1111··1··111··1··1···1··1··1·1··11·11·11 |
| out 45 (191) | 11····1····1··1··11·1·1··1··11·11·1··11·1111·1·11···11··111···1····1·111111·11·1·······11···1····1··111··1111·111111·1···1·1·1··1·11111·1···11···1··1·11····111·········1·11···111··1·1···1111·1·····11·1··11·11······1···1····1···11·1·····1···1··11·11·1··1·1·1·111···1·11······11·111···1····1·111·111·11·1······11···1····1·111··11··111·11111·1···1···1·1·1··1111·1··1···11··1··1·111·····111·····1·1·1····111···1·1···11111······111·11· |
| out 46 (151) | ···1····1····1··111·1·11·1··1··11····1······1···1····1··11··111·1·1·1·1111·1·11··1·····1······1·······1·····1······111·1111·11······1·11··1·1···11·1··1··1·····1····1·······11·111··111···1·11·1··1··11··1···1····1·····1····1····111·1··1··1·1·1··1··11····1········1·····1·······1·11·11·1·1·1·1·11·11·1·11···1···1······1······1·······1······111·111·1··11······1··11···1·1··11···1·1····1·····1·1······11··111···111···1·111···1··11·1··1 |
| out 47 (159) | 11···1·1··11··111·11··1··1··1111·····1··1··1·1·11··11···11··········11·1··1··111··1·1···1····1···1·11·1··1·1··111·1111···1··1·······1·11·1·······11·1·1·1···11···1··1····1·111··1···············11·1·11··1·11·11·····1·1·11·1··11·1·11······1···1··1111·····1···1···1···1·11·····11··11··········11·1···1··111···11··1····1···111·1··1···1·1·11·1111···1····1·······1··11··1······1·1··11··1···11···11··1··111···1···············1·1·1·11·111· |
| out 48 (199) | ·111·1····11·1·111··1·1·11·11111···1·····1·1·1·1··1·11····1·11····111··11111·1···11·1·111·111·11·1·11····11·1·111··11·1··1·11···111····111··11··11111·11·1··1·11·1··1···1·1···11·1··1···111········1····1··11··11·1··1···11··11·1·11··1·····1··11·11111···1·······1·1···1·1·····1·11···111·····111··1·1111·1····111111·111·11·111····11···11·11··11·1··1···11··11·1·····1·11··11·11·1·1111···1·1·1·111·1·1·····11·1···1···111········1···1·11· |
| out 49 (159) | ···1··11··1···11·1··1·1·11·11·1···11··1·····11·1··111·······111···1········1·1·1·1··1··1··11·1111····1····1······11111·11·111·····1··11·1·1···1·11·······1···1·1·1····1·1·1111··111·11···1········1·····11···1····1···11·1·····11··1··1·····1··11·11·1···11···1······11·1·1·····111·····11·1···1·········1·1·1··1·1·1··11·1111···1····1········11111·11··1·11·····1··1·1··1·1···111··········1··1··11·11·1·111···11·1·11···1········1····11··1 |
| out 50 (167) | 1111·1·1·····1··1·1·1···1··11······1··1··1·111·11·1111··11······1···1·11·1··11····1·1·11111·1····1··1·1····11··1·1······1··1······11·1·1111·1·1·11·1···1·1···11·······1···111·····1···1····1·1·1··111·1··1··11111·1··1·1·····1····1·1·1····1···1··11······1···1···1·11··1·11····1111·11······1···1·11··1··11·····1111111·1····1·1·1······11··1·1······1····1······11·1··1·111·1·111···1··1···1··11····1··1·11·······1···1····1·11···111·1·1·11 |
| out 51 (175) | ·····11········11··11·1··1··111·1····11··111·1·1····11···1···1··1····11·111··1·1·11·1·1·1·111········1···11·1··111·1···1111111··111·11··11···1··1···1·1··1··1·11····1·1··111·11·1·1···1···1·1···1·1···1·11·1·········11·········1·1··11·····1···1··111·1····1·1···111···1·1·1·····11··1··1···1····11··111··1·1··1111·1·111·······1···11···1··111·1···111·1·111·11·1·11····11···1·1·····11····1·1·1·1·11·11·1·1·1·1··1···1···1·1··1··1···1111·· |
| out 52 (167) | ··11·1····1····11·11··1··1·111·1···1·11·111····11·1·1·····1···1·1··1111·11111·······1····1··1···1··1··1··111·····1·11·1·1··1·1··1·111·111···1·1··1··1··1····1·1··1·······111·1·1·11·1···111··1······111·1·······1·1··1···1······1·1·11······1···1·111·1···1·1·1·1·11······11····1·1····1···1·1··1111··11111·······1···1··1···1·1··11·11··1·····1·11·1·1····1·1·1··111··11·1···1·1·1····1·1·····1·1··1···11·1·1··1·1·1·1···111··1······1111···· |
| out 53 (183) | ·11··111···1··1·1··11·1··1·1··111·11··11···1·1····111···1···111···1111111·1······11·1·1·11·1···111··1····1·······11··111···1·1··111·1····1··11·····11···1···11·1····1·1·11·11111·1··1·1···1111·1··1···1··1··11·11····111··1····1··1··11·····1···1·1··111·11···11····1···1·······111·11··11·1···111111·1·1·······1111·11·1···111·1····1·········11··111·····1·1·11·1·1······1··11······11···1···11··1·1111··111·11·1···1·1···11111···1···1·1·11 |
| out 54 (191) | ·11·······11···········11··11·1·1·11·1·1·1111···1·1··1··111··1··1··111···11······11·1·1····11···11·1111·11111·111···11·11·1·1···1·1·111··11··11·1·11···1····1111·1····1···1111111····11·····11····11111··1·11··11········11···················11··11·1·1·11·1··1··1111·····1··1·1··1·111·1···1··111····11·······1111····11···111111·111··111·11···11·11··1··1··1··1·11·1···11··111··1·1··1·····111·11·1··1·111·111·····11·····11····11111·111· |
| out 55 (183) | 1····1111·1··11111··1···1··1···11··1··1·1·11·1·1··11·1···11·111·1·1·1·1·11·11··1·11·1··········1·····1····111····111···1··1111··1111111·11··1·1·11111·11·········1······1111···1·1··1···11111····1····1··1·1··1······11111···1·11·11··1········1··1···11··1···1·1··11···1·1·····11·1··1111·1·1·1·1·1··11·11··1··111·········1····1····1··11····111···1···11111·11·1111·1··11··1·111·1·1111··········1··111·1····1·1···1···11111····1····1·11·· |
| out 56 (159) | ·1·1·111···1············11···11······1··11111··11··11···1···1···1···1··1·1·····1··1·1·11·1··11··11·11·1··1·1··1·········111·1····1···111·11··1···1·1···111··111·····1···1···1·1·111·1···1··1···11···111··1·11··1··1··111··1····················11···11······1···1·1111····11·····11··1··1····1···1··1··1·····1···1111·1··11··1111·1··1···1·1··········11·1··1···11···1·11··11··1··1···1··1·1·1·111···1·1····1··1·11·1·1···1··1··11····111·111· |
| out 57 (167) | ·····111··1···1·1··11··11······11·····1·11111······1·1····1···111·····1111·11····11····1·1··1···1··1·1····1·1··1·1111·1····111···111·11·111·11··1·11···11·····1··1··1···111·····111·1···1·111··1·1·11····1·1·········111·1·····1··1··11·······11······11······1·1·1111···········1·1···1···1·1·····11·11·11·····11··1·1··1···1·1·1····1···1··1·1111·1······111··1·11·1·1··111·11·1··1·1··1·1·····1··11·111·······11·1·1···1·111·1··1·11···11·· |
| out 58 (159) | 11·1·1···········1··1·11·1····111··1·1··1111····1·1·11····1·1·1···1····1·1111···111·1···1·1·11··1··11·1···111··1·······1·1··1···11·1·11··11···1·111·1····1····1·····1·1·1··1··1··1····1·1··1·1·1·1···11·11····11··1··1·············1··1·····1·1·1····111··1·1···1·111······1····1·11···11··1···1····1··1111·····111··1·1·11··1·11·1···1··11··1·······1·1····1··11··1·1·1···11···111·1··1·····1···1···111···1···1··1·····1·1··1·11··1···1111··· |
| out 59 (159) | ·1···1·11·11··1·11·1··1·11·111·······1·····111··1·111···111··1··1···11·1··11·1···11·1········1······1·1··1····1·1·1·1111·1··1····1·······1······11111·1·····111··1··1·1···111···1·····1·11···1··11···11··1·1···1·····1·1111····1··11·1······1··11·111·······1·······11··1··1····111··111·11··1···11·1···11·1····111·······1·····1·1··1·····1··1·1·1111·1····1···1··········1·····11·1·111······111··111··1·11····1······1·11···1·1·1···11·11·· |
| out 60 (167) | ·····1·1··1·1111·111···11····1··1··1····11···1·11··11···11··11····1111··11·111···1····11····1····1····1··1·1······111·1··1··1····1·11·1·······1·111·····1···11···1··1···1··111111···1·1··11·11··1111··1·1···11·······1·1·1·1·1·11··111········11····1··1··1·····1·1·····1·11·····11··11·11·····1111···11·111····1··11····1····1···1··1···1··1···111·1··1····1···1··11··1········111·1······1···11···11·1···111·111····1·1··11·11·1·111··11··11 |
| out 61 (175) | ··11·1111·1·1·11111·1·1111····11··11··1·1··11··11··1···11·1·1·1·1····11··1··········1···1··1·1·1·1····1··1·····1·11·1··11··111··111···1·1·1·1·1·11··1····1··1111·1·······11·1···1·1·111····1·1···1·1····11·11···1·1··11111·1···11·111·1·····1·111····11··11···1·1···11····11·····1···1·11··1·1····11···1··········1··1··1·1·1·1···1··1·······1·11·1··11····111·11·1····1··1·1·1·111····1·····1·111·11···11··1····1··1·111····1·1···1·1···1111· |
| out 62 (175) | ·1·1··1····1·111·1·11······1·1·····1··1···1·1·····1·1····1···1··1··111·1··111·1··1··1·1·11·1··11111111···11···1··11··11·11·11·····1111·11·1···1··1····1111··11·1······1·111··1·1··1··1···1·1···1·1·11···11·11··1··1···1···1··1·11··1·11···········1·1·····1···1····1·1··········1·1···1··1···1··111·1···111·1···1·11·11·1··1111111···11····1···11··11·11···11·····1111··1·1·1···1·1·····11·1·1·11··1··1111···1··1···1··1···1·1··1··1·11··1111· |
| out 63 (175) | 11·1·1····11·11··1111·11·1··1······1·11··1·····1·····1····1·······1···1··1111····1····1·11··11··1···11···11·1·11111·111111·111··1111···11·1·1·1···1·1·11·1··1····1··1····11···1·111·····11·1···111·11········111··1··1···11··1·1···1111·····1·1·1··1······1·1·1···1·······1········1···1·······1···1···1111·····1··1·11··11··1··11···11···11·1111·111111···111·11·11··1·1·1·1·1·1···1··111···1·1····11··11·····1·11·1·····11·1··11·1·11······1 |
| out 64 (151) | ··1····1·····1··111···11·1··1·1·1·····1···111··1···1····111·1·1·1·1·1·······1·····1·····1····111···1······1······1·····111·11····111···1111·11···11·1··1·····1······1···1·1·1·1··111111·1·1111·1·11···1·1··1····1······1·····1····111·······1·1·1··1·1·1······1····111····1······1···1111··1·1·1·1········1······1···1····111··1······1········1·····111···11···1·11····1·111·11··1·1··1·1······1····1·1·1··1··1··1·1·111·1·11111··11···11·1·· |
| out 65 (151) | ··1·······1······11···11·1··111···11·1···1·1·1··1····1··1·1·1····1·1·1·111····1·····1···1·111111······1·····1··1·1··111···11······1···111···1····1111·1·1········1······1111··1111··111··1·1·1·1···1·1·····1····1········1·········11·······1·1·1··111···11·1·····1·1···1··1·······1·1·11·····1·1·1·1·11····1·····1··1·111111·····1·······1··1·1··111···11·1······1····11·1···1···1·1·111··1········1··111·1···1111···111··1·1·11····1·1···1·· |
| out 66 (175) | ·1···11····1···11··1··1·11··11··1·1··11··111···1·····1··11···1··1·····11111··1·1··1·1·1···1111······11···11·1·1111·11··11·1111··1·1·111·111··1··1···1·······1·1·······1··111·11·11····1···1·11··1·11··1··1·1···1·····11···1·····111··1······1··11··11··1·1··1·1···111·····1········1·11··1···1·····11·111··1·1···111···1111·····11···11···11·111·11··11··1·111·1··1·11·1··111··1·1·····1·······1·1····1·11·1·1·1·11·····1···1·11·1··11··1·11·· |
| out 67 (167) | 1·11··11···1··1·11·1····1···11·1··1······11111··1·111·········1····111111·11·111·11····1·11·1·11···1·1···1····1···11·1···1···1··11··1·1··1··1····1·······1··1··1········1···11·1111··11···11·1·1·11·111·1····11·1·1···11··1····1··11·1·········1···11·1··1········1111··1··1····111········1····11111·1·11·111··11··1·11·1·11··1·1···1·····1····11·1···1·····1·11···1··1···1··1···1·········11·1···1···1····11··111·1··11···11·11··11·1111···1 |
| out 68 (175) | 11······1··1·1·1··11··1·1····11···1··11·11··1··1····11····1··1·····11··1·11·1·11····1·111··11·1·1····1···1111·1·11·1·1·1··111·····11··1·1···111·1111··11····11·1·········11·1·11·1···11·1····1·111·1····11·1·111········1·1··1··1···11······1··1····11···1··1·1·1·1··1···11·······11···1·1······11··1··11·1·11····1111··11·1·1···1···11··111··11·1·1·1···1·11·····11···1··1···11111·1·1·11·····11··1····11··1··11·1····11·1····111·1·1···111·1 |
| out 69 (167) | 1·1··1·1·····1·1111···1··1··1···1·····1·1·1111·11··11···111·1···1·1·111·····11····1····11····11····1··1···11·····1····1111·1·1···1111··1111·1····1111···············1·····1·1····11·111·1··111·1·11··11·1··1·11·1····1·1·····1··1·111···1···1···1··1···1······1·1··111··1·11·····11··1111····1·1·111······11·····1··11····11···1··1···1··1·····1····1111···1·1··1·111···1·111·1···1·1·11·············1···1··1·····1·1·111·1··1111··11··111·1·1 |
| out 70 (167) | ··11·1·1··11·1···111··1·11·1·111······1·1·1··1·11··1·1··11······1·1·····111·11·1······1··1·1·1·····1·11··1111·11···11·11·11·1··111·1·1·1······1·11··1··111··1··1·1······11··1····11·1···1·1······1··1······1·1··1·1··1·1·11··1·····111······11·11·1·111·······1·1··1····1·11·····1·1·11······1·1······111·11·1·····1··1·1·1····1·11··11··111·1···11·11·1·1··1·111··1·1··1·······111····1·1·1·1·1···11··11···1·····1·1·1···1·1······1··1····1·1 |
| out 71 (167) | ·111··11···1··1····1··11·1·1111·1·11·1·11·1·11·1··111·······111····1111···1·11······1·1·111····1····11···1····1···11··1··1···1··1··1·111····1·11·1··1·1·11··1··1·········1··11·1111······1·11··1·1··1·1·1··1···11·1···11··1····1·····1······1·1·1·1111·1·11·1··11··1·1··1·1·····111·····11·1····1111····1·11······11·111····1···11···1·····1····11··1··1·····1·1···1·1·11·····1·1·1····11··1·1·1···1····1···11··111·1······1·11·1··1··1·11·1·· |
| out 72 (199) | ·11··1··1·11·11·11·····11··1·11·1··111··11111··11·1·1···11·········1·11···1···1···1··1·111··1··111·11·1··11···1···111·11111111··111·1·1·11···11··11····1····1·1··1··1···111111111····11·11··11··11··111··1·11··11····1··111··1·1··11··········11··1·11·1··111···1·1111····11····1·1··11·········1·11····1···1····1··111··1··11111·1··11····1····111·1111·1·111·11·1·1··1··11···11·1·1····1·····1·1··11·111·111·111·····11·11··11·1·1··111·111· |
| out 73 (175) | 111··1111··1·11111··1···1··1·11···1······1·1·1·1··11·1······111·1·11···11111··1··11·1········11·1···11···1·11·111·11·1·11·1·····1···11···11·11····1····11···11······1···11·11··1··1··11··11··1··111····1···1·1111····1111·1··1·11·11··1········1··1·11···1········1·1···1·1·····11·1····11·1·1·11···1·1111··1···111·······11·1··11···1···111·11·11·1·11··1·····1····11·····11·11····1····1·1···11····1·11··11···1···1··11··11··1·1·11······1·1 |
| out 74 (175) | ·11·111·1·11····1·111···1··1···11·11····1··1····1·1·11··111··11····111·1··1·111···1···11·1···11·1··1111··11·1·111···1111111·1······1·1·1·11·111·11·····1·········1····1·······111·1·11······1···1··11·1·1··1···11····11·111·······1·111········1··1···11·11·····1···1······1····1·11·111·1·1····111·1···1·111····1·11·1···11·1·1111··11···11·11···111111·1··1······1·1··1··11·11111······1··········1·1········111··1·11······1··1···11·11·1·· |
| out 75 (151) | 1111··1111·····1·1·····11···1111··1··1···11·11····11······1·111·1·1·11···1111·11····1··1·11·1····1·111···1·11···········11······1··1··11··1·11··1··1··1··1··1·········1··1··1·1·11···11·········1···1···1···1·111·1···111·······1··1··········11···1111··1··1·····11·1··1·······11·····111·1·1·1·11····1111·11····1·1·11·1····1111···1···11···········11·······1···1···11···1·11·1····1·1····1·1······1·1···1··1·11····11········1····1··1··1· |
| out 76 (175) | ·1···11····1···1····1·1·11··11··1·····1··11111·1·····1··1·1··1··1··11·11111··1·1··1·1·11····111·····11···11·1·1111·1·1·1·11111··1·1·111·11··11··1··11·1·····1·1······1···111·111·1····1···1·11··1··1·1·····1···1·····11···1·····1·····1·····1··11··11··1······1···1111··1·1········1·1·1·1···1··11·11·111··1·1···1111····111····11···11···11·111·1·1·1·1·1·111·1··1·11·1··11··11·1····111······1·1······11·1·1·11·1·····1···1·11·1···1·1···1·· |
| out 77 (167) | 111···11···1·11·1···1··11··1·1·1········11······1··111······1···1·1111··11··1····1··1·1·1···1······1111··1·11·111·11·1·11···1····1··111···1··1··111···1·····1·1·····1······11·111···1···1111·1·11111··1·1····1111·····11··1··1·1··1···1·······11·11·1·1·········1·1········1·····111····1····1·1111···11··1·····1·11·1···1·····1111··1···111·11·11·1·11·····1···1···11·1····1··1·11·1···1······1·1···1·····11··111····1···1111·111·111··11···1 |
| out 78 (191) | ·1·1·1·1··11·1·1··11·······1·11·1··1·11·11111·····1111··11··11··1·11·1111111·····11·1···111111111···1····1··1·11···11·11·1···1··1···1····1···1··11····1··1··1111·1······1···1·11·11·111··11·11···11·11·····1·1·1··1··1·1·11··1··1···11············1·11·1··1·1·1·1·1111··········1111·11·11···1·11·111·1111······111··111111111··1····1····11·1···11·11·1·····1·1····1······1···1·11·····1····1·111·11··1··1·1··11·1·1·111··11·11···11·11···1·1 |
| out 79 (191) | 1111·1··1·11·1·1··1·1·1··1··11·······11··1·111······11··1·1·····1·111··1111··111··1····11··11·11····1····1111·1111·111·1·1·11···1·1·1·1·11·1·11·111·1·1111··1··1·1·······11··111·1··1·1···1··1··11·1·1··1··1··111·1··1··111··1··1···1·1·····1···1··11·······1·1···1·11··1·········11·1·1·····1·111··1·111··111···1··11··11·11···1····11··111·111·111·1·1···11··1··1·1··1··11···1111·1··111·1·1·1···11···11···1·11·1···1·1···1··1·1·1·1·1·1·1·· |
| out 80 (175) | 1··1·········1··1··11·1··1·11··11·11·11·····11·11·1··1·······11·1·1···1·11·1·111·1·····1·1·11·11···1··1····11··11····11111··11··1·····11··1·11··1···1···11····11····1····1·1·11··11·111··11·11··1··1111··1·1·11···1··········1····1··11·····1···1·11··11·11·1·1······1··1·11····1··1·····1·1·1·1···1··11·1·111··1···1·1·11·11··1··1······11··11····11111····11·1·······11···1·11·1·1···1···1·1···1·1·1··1··1·1·1··1·1·111··11·11·1···1111·11·1 |
| out 81 (159) | ·1·1···11····1·111····1··1···1111·1···1···11······1111···11··11·1·111··111··1··1··1········1·11·1···11·····11······1·1··1···1··111·1·1···11·1·····1·1···11····11······1··1··111111···1··1·111····1·1··1·1······1··1····11····1··1·11········1···1···1111·1····1····11···········1111··11·1·1·1·111··1·11··1··1···1······1·11·1··11·······11······1·1··1·····1·111··1·1·····11·1·····1··1···1·1···1·1··1·1···11·1111··1·1··1·111····1·1··11···· |
| check 82 (160) | 1·11··111····11·1···1··1·····111··1····11····1··1··111··1···11····111··111···1······1·1··1···1·····1·11···111··11·111··1·1··1····1··111······11·11·······1···111··········11··11111·····11·1···11111··1·1····11·1·1···111····1·1··1···1·······1·····111··1·····11·······1··1·····111·1··11·····111··1·11···1······11··1···1····1·11···1··11··11·111··1·1····1···1···11·1·······1111··········1··11·1·····1·1···1111·1·····11·1··11·111··11···1 |
| check 83 (160) | 1·11·11···1···11·1··1··111·1······1··1··11·11···1·1··········1·······111···1··11·1····1·1·1111·····1·11····1···1··1·111·11·1·1··1·1·11··1·1··1··11·11····1···1·1·1··1···1·1·1···111·11···1········11·1··11·1··1·1·1··11··1·····11··1··1·······111·1······1··1···1·1·11·····1····1········1········111····1··11··1··1·1·1111····1·11······1···1··1·111·11···1·1·1··1·11····1·1··1·11···11·····1··1··111·1·1··1····11·1·11···1········11·1·111·· |
| check 84 (192) | ·111····1·11·····11···11·1··1··11·1··1111111····1····1··111········111··11111·11··1·1···1·111···1···1·1··11·1·1·11·11·1·1·1·1····111·1·1·11·111·1·1·····11··11·1·1··1···11·11·111·1·····11··1···1·11111··1·1···11·1·····111········11·······1·1·1··1··11·1··1·111·111······1·······1·111········111···11111·11···11··1·111···1··1·1··11···11··11·11·1·1··1··1···1·11·1··1··11·1111··1······1·1·11··111·11··11··111··1·····11··1··1··11111·11·· |
| check 85 (168) | ·1·····1··11·1·····1··1·11··111···11·11·1111···1···1·····1··1·1·1·1111·1··1·1111····1··1·1··111·11·11····1····11·1··111····1·······11·11········1·····111···1····1··1·1·111·1111·1··1······1···1·1111······111·1·······1·11··1·······1······1··11··111···11·1·1·1·111·····1······1····1·1··1·1·1111·1···1·1111····1·1·1··111·1111····1·····1·1·1··111······1·······11··11········1······11·1···1····111111··11·11·1···1······1··1··1111····111 |
| check 86 (184) | 111··1··1···1···1··1··111···1·····1·111·111··1·1···111··11··111··11··1···111·1········1··111·1·111····1·1111··1··11··1·1·····1·1·111·1··111···1·111···1·111··11··1········1··1·11·····1·11111··11111··1··1···1111····1··1··1······1··1······1·11···1·····1·11·1·1·11····1·1······111·11·11·1··11··1····111·1·······1··111·1·111···1·111··1·1···11··1·1·······11·1·11·1····111···111·1···1··1·11·11··1····1···1··11······1·11111·11·111··1·1··1 |
| check 87 (176) | ·111·1111···1·11·11····111····111··1·1··11·1·1·1···1····11··1···11·1111·11········1·1··11····1·1·1····1····1···1·1···1·1·1·1·1··1111····1···1·1·11·11····11·11·1·1····1··11·1·····1·1·1·1··1·1··1111·11·1···1··11·1··1111··1···11··11·········111····111··1·1···1·1·1···1·1······1···11·1····11·1111··11·········11·11····1·1·1···1······1···1·1···1·1·1···1·1·11·11······1···1·111···11·····1111··11·1·11··1·······1·1·1·1··1·1·1·111·111··1· |
| check 88 (192) | ·1········111111··111···1··1···11·1·111·1·11·1·1··11·1··1·1···1··1·11·1·1·111111·11·1··11····111····111·11··1···11··1··111···1·1··1···111···1····111····1·····11·1··1·1·111··1·1·1··111·1···11·1111·1·1··1··1··1·········111·1·11···111········1··1···11·1·11·1·1··11···1·1·····11·1·1·1···1··1·11·1··1·111111··111·11····111···111·11····1···11··1··111·····11···1····11·1···1···1·1·1····1·····1·1111111···1··1·1···111·1···1111·11·1·1·1·1· |
| check 89 (192) | ··1··1··1·111111··111···1···11111·11·11·11·1·1··1·1·11···11·1···1·111111·1····1··11···1·1·1·11·111·1··1·1·1····1·1111111·1·1·1···1·1·111········1·1····1111·1·1·····1·······11··1·1··11·11·1···11·111····1······1····1··1111·1·11···111········1···11111·11·1·1·1·1·1···1··1····1·11··111····1·111111··1····1···11·1·1·1·11·1111··1·1·1······1·1111111·1···1·1··1··1·1·11········1··1····1·1·111·1···1······11···1··1··11·11·1··11··111···1··· |
| check 90 (184) | 11·1·11·····1·1···1····1···1······11··111·11·1··1·111···11··1···11···111··11111···1···1·····111····11·1····11·1·1·1··1······11··1··111··1···111···11··1··1····11·1··1···1·1·1·11111··11·11111··11·1·111··1·11111··1··11····1···1····1·········1···1······11···111··11···1··1····111··11·1····11···111···11111····1·1·····111···11·1······111··1·1··1········11·1···111····1···111···1·1·1····1···1·111·1·1··1··1111·1··11·11111·11··1·111·1111 |
| check 91 (168) | 11···1·····1·1··1·····1111··1···1···1···1·1111······11····1·1···11····1·111····1··1·1··1·111111·11··1····1111·1··11··111111··1···1·····1·1····1·11··1··1····1·······1·1··11··1·1111·1···11·11··1·1····1·11·1··11·····1····1··1····1·········1·111··1···1···1····1··111··1·········11···11····11····1··111····1···11·1·111111·11·1····11··111···11··11111·1···1··1·······1··1····111····1·1·····1·····11·11···1··111·1·1···11·11·1··1····1111·· |
| check 92 (168) | 1111··111·1·······1·1·······11·11··111··1·1··1·11·11·····1····1·1·11·1·1····1111··1·1·1·11·11··1·1··1·1········111·11·11····11·111····11··1·111········1·1·····1·1··1·1·11····11·····11·11·1·1··1··1·····1·1··111·1···1111··········1·1············11·11··111···1··1····1·11····11····1····1·1·11·1·1·····1111···111·11·11··1·1·1·1··········111·11·11······11111······11···1·111········1···1·····111111······11······11·11·1·1·1···1····11·· |
| check 93 (256) | ··1·11·1·11··11·····1111·11·111··11·11··111·111·1111·111···1··111·11···1·11·1·111·11·1··1·11···11·1··1111··11111·11·111·11····1····111··11·11·11··11·111··111·1111111111·11··1111·111·111·1·111·1···1·11··111111·1111·1·1·111·1·111111·11111·1·1·11···111·1··111·1··1·11·11·1111··1·1111111·1·1··111·11··1·1··111·111·1··111··111··1·1111···1·1··1···1··11111111111···1111··11·1·111·1·1··1111··1·1····1··111·1···11·1·1·1·1·1··1·1111·1·11··· |
| check 94 (216) | ·11·11··1·1··1·11··1···1···111··1111··1···11·1··1···1·111··1··111·1·111·1111··111·····11111111··1·1·1·11·····1···1··1·11··11·11·111·1··11··11·1·····1···1·1·11···1·111111111·1···111·1·····1·111··111111·1······11·1·11····1···11111···1·11·1···111·11···1··1···1·11··1··1···1·11····11··1···11111·11··1·11··11··11·1·1·1·11·········1·1·1··1·111····11·111111··111111·11111·····1·1·1··1·111···11·1·111·111111·1········11·111111·11·1·1··1·1 |
| check 95 (224) | 111·111·1·1···1··1·1·1··1·11··1·111·1····1·111·······1·11··11·1···1··1·1····1111·1··11111·1·1···111·11··11111·1··11·11·1·11·1···1··1·1··1···1111··11·111···1··1··1111·11111111··1·111·1··11·1·111···11··11·1·111·1··1111·111··1···1··111··1··111·11·1··111··1··11·11·1·1··11··11·11111·11·1··111·1··111··1·11·1··11·111··111·1··1·1···1·1·1·1·····1·11··11·1··1···1··111···1·1·111···11··1·11··1·11111·11·111·1···1·111··1····111111·······11· |
| check 96 (216) | ·1·11·11·111··1·111·111·1·11··1111···1···1·1·1··1·11·111111·······1·11·1·1··111·1···1···11··1·111·11111111·111·1111·1111··11·····111··1······1·111··11·11111···11111·····1···1··11··1···1··1··1·1111·11···1·1··1···11·11···1···111··1·1·111·1···111··1··1···11111·1·1111···1111111··11111111····1···1···11·11··1111·1··1·1·1··111111·····1·1111111···1····1·1····1·····11111····1·1···1·11·1···1···1···1·11··1·11······1111···11·1·1··1·1··1·1 |
| check 97 (192) | ···1···1·11···1·11·111·1····11···1····1···1·····11·1·1111·1···11··1··1·11··1··1·1·1···1··11·1·1···1···1···111111··1··1··1·1·1····1··111·111···1·1··1·11··1·····11111··1·····11··1·1·1·11111·1111·1··1··1111·1·····1··11·1·11···1··111··1111···1···1··1111·····1··11·11111··1····1·1·11·1···1111·11··1·1··1·1·1111··1··111·1·111···1····11···11··1··1·1·11·11····1·····1·11··1···111111·1·····1··111···1····1··111·1·1·1·1····1··1··1··1·1··1·1 |
| check 98 (200) | 1·1···1···1·····11·1·11111··1··1··1111···1···1·11···11····111·11··1·11·111·1·1···1·1·1···11··1····1··11····11···11·11··111··1·······1111···11··11·1111·11·····1··1···1·1·111111······11···1··1·········1··111·1·1·····1··1··111111··1·11111·1·111··1··1······11111·11111··11······11·11··11·111·1···1·11·1·1····1·1111··11·1111··11······11··1··1··11···1111········11·11···11·11·11·1··11·1·····1··1111··1···1·111····11···1··111111111111··1 |
| check 99 (200) | ··1·····1·11·1·1·11···11··11111111·11···1·11·1··1·1·····1···1·1·1··11·1·1··1·1·11··1·1·111··11··1111··1··1····111···1··1·11··11·1···11111·1111111·11·1·11···1·11·1·······1····111··1···1·····11··1·····11111····1·······111··1··1··11······1·1·111······11··1111·11··111···1····1····1··1··1·1··11··11·11·1·1·111111···11··11··1··1··1·····1·11···1··1·1·1····1·1111··1··1·1·1····11·1·111·1···1·1·11···1······111·111111111111·111·11111···11 |
| check 100 (208) | 1·1··11······111·11·1··11···1111··111···1··11·11·1··1·11··11···11···111··111··1·1··111····1·1··11·1·····11··1·11··1··11····111···1··1····1··11···1·1·······11·11111111111·111······11111·1111·1··11···11·111·11·1····11······1·11··11·1·······11···1111··111····1···11···1·1111111·1111·11111·111···111···11·11111·1111·1·11··1·····11····11·1··1··11······111··1···1······1··11··1···1··111111·1·1·····1·1··111111111···11····1111··111·1··1· |
| check 101 (232) | 1·1··1·1···11111·1····1111·1··111··1·11·1·11·······11····11·······1·1·11·111111··11·1·111111111·11·····11·1111··11·1··11·11·111··1·11·1····11·11·111·1·11·11····1111·1·1···1·1··11111·111··1111·1111···11·11··1·1····1·1··11·1·11··1········1·111·1··111··1·1·1·1··11············11···11·······1·1·11··111111···111111111111·1111111·1·11··111··1·11··1·1·11··11·11··11·111111·1·1·1·1·11·1·11·11111·111111·1·111··1·1·1·1·11···1·1···111·1·11 |
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
Output gate
As gates: \mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10}\cdot \mathrm{T}_{11}\cdot \mathrm{T}_{12}\cdot \mathrm{T}_{13}\cdot \mathrm{T}_{14}\cdot \mathrm{T}_{15}\cdot \mathrm{T}_{16}\cdot \mathrm{T}_{17}\cdot \mathrm{T}_{18}\cdot \mathrm{T}_{19}\cdot \mathrm{T}_{20}\cdot \mathrm{T}_{21}\cdot \mathrm{T}_{22}\cdot \mathrm{T}_{23}\cdot \mathrm{T}_{24}\cdot \mathrm{T}_{25}\cdot \mathrm{T}_{26}\cdot \mathrm{T}_{27}\cdot \mathrm{T}_{28}\cdot \mathrm{T}_{29}\cdot \mathrm{T}_{30}\cdot \mathrm{T}_{31}\cdot \mathrm{T}_{32}\cdot \mathrm{T}_{33}\cdot \mathrm{T}_{34}\cdot \mathrm{T}_{35}\cdot \mathrm{T}_{36}\cdot \mathrm{T}_{37}\cdot \mathrm{T}_{38}\cdot \mathrm{T}_{39}\cdot \mathrm{T}_{40}\cdot \mathrm{T}_{41}\cdot \mathrm{T}_{42}\cdot \mathrm{T}_{43}\cdot \mathrm{T}_{44}\cdot \mathrm{T}_{45}\cdot \mathrm{T}_{46}\cdot \mathrm{T}_{47}\cdot \mathrm{T}_{48}\cdot \mathrm{T}_{49}\cdot \mathrm{T}_{50}\cdot \mathrm{T}_{51}\cdot \mathrm{T}_{52}\cdot \mathrm{T}_{53}\cdot \mathrm{T}_{54}\cdot \mathrm{T}_{55}\cdot \mathrm{T}_{56}\cdot \mathrm{T}_{57}\cdot \mathrm{T}_{58}\cdot \mathrm{T}_{59}\cdot \mathrm{T}_{60}\cdot \mathrm{T}_{61}\cdot \mathrm{T}_{62}\cdot \mathrm{T}_{63}\cdot \mathrm{T}_{64}\cdot \mathrm{T}_{65}\cdot \mathrm{T}_{66}\cdot \mathrm{T}_{67}\cdot \mathrm{T}_{68}\cdot \mathrm{T}_{69}\cdot \mathrm{T}_{70}\cdot \mathrm{T}_{71}\cdot \mathrm{T}_{72}\cdot \mathrm{T}_{73}\cdot \mathrm{T}_{74}\cdot \mathrm{T}_{75}\cdot \mathrm{T}_{76}\cdot \mathrm{T}_{77}\cdot \mathrm{T}_{78}\cdot \mathrm{T}_{79}\cdot \mathrm{T}_{80}\cdot \mathrm{T}_{81}
As monomials: 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70+71+72+73+74+75+76+77+78+79+80+81 (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 82 single-wire gates: \mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{S} on output 3, \mathrm{S} on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{S} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{S} on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S} on output 21, \mathrm{S} on output 22, \mathrm{S} on output 23 and 58 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.
All 82 correction gates
\mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 2, \mathrm{S} on output 3, \mathrm{S} on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{S} on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{S} on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S} on output 21, \mathrm{S} on output 22, \mathrm{S} on output 23, \mathrm{S} on output 24, \mathrm{S} on output 25, \mathrm{S} on output 26, \mathrm{S} on output 27, \mathrm{S} on output 28, \mathrm{S} on output 29, \mathrm{S} on output 30, \mathrm{S} on output 31, \mathrm{S} on output 32, \mathrm{S} on output 33, \mathrm{S} on output 34, \mathrm{S} on output 35, \mathrm{S} on output 36, \mathrm{S} on output 37, \mathrm{S} on output 38, \mathrm{S} on output 39, \mathrm{S} on output 40, \mathrm{S} on output 41, \mathrm{S} on output 42, \mathrm{S} on output 43, \mathrm{S} on output 44, \mathrm{S} on output 45, \mathrm{S} on output 46, \mathrm{S} on output 47, \mathrm{S} on output 48, \mathrm{S} on output 49, \mathrm{S} on output 50, \mathrm{S} on output 51, \mathrm{S} on output 52, \mathrm{S} on output 53, \mathrm{S} on output 54, \mathrm{S} on output 55, \mathrm{S} on output 56, \mathrm{S} on output 57, \mathrm{S} on output 58, \mathrm{S} on output 59, \mathrm{S} on output 60, \mathrm{S} on output 61, \mathrm{S} on output 62, \mathrm{S} on output 63, \mathrm{S} on output 64, \mathrm{S} on output 65, \mathrm{S} on output 66, \mathrm{S} on output 67, \mathrm{S} on output 68, \mathrm{S} on output 69, \mathrm{S} on output 70, \mathrm{S} on output 71, \mathrm{S} on output 72, \mathrm{S} on output 73, \mathrm{S} on output 74, \mathrm{S} on output 75, \mathrm{S} on output 76, \mathrm{S} on output 77, \mathrm{S} on output 78, \mathrm{S} on output 79, \mathrm{S} on output 80, \mathrm{S} on output 81
Or no Clifford gate at all: run every rotation as \mathrm{T}^\dagger. 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.
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/430.82.4.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-430.82.4.a.txt", "w") as out:
out.write("\n".join(lines) + "\n")
Distance
d=4, exact. No fault of weight below 4 is both undetectable and damaging. One of weight 4 is.
Exactly 8,585 faults of weight 4 are undetectable and damaging, so A_{4}=8{,}585. If each rotation fails independently with probability p, an accepted run has a damaged output with probability A_{4}\,p^{4}+O(p^{5}).
A damaging fault of weight 4 sits on columns [0,6,130,342].
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, A. Wills, and S. Singh, "Symmetry and AI-assisted discovery of magic-state factories," arXiv:2610.06535 (2026). arxiv.org/abs/2610.06535
Provenance
built from one of Wills's parent codes (weighted Reed-Muller, restricted-light or one-heavy) by searched punctures, paired-column contractions or logical-pair checks, in the pure-T distillation-exponent release (gamma = log(n/k)/log d, n < 1000); a verified witness, not a maximum -- only the release's own frontier points are the lowest gamma it knows
Found by: AI search (gamma frontier): from Wills parent codes
Discovery: AI search
1 recorded source
[
{
"regime": "AI search (gamma frontier): from Wills parent codes",
"file": "gamma_frontier_release/protocols/wills_one_heavy_430_82_4.json",
"label": "wills_one_heavy_430_82_4",
"N": 102,
"d": 4,
"d_is_exact": true,
"origin": "Wills parent + searched graph punctures",
"provenance": "gamma frontier release record wills_one_heavy_430_82_4 (source catalogue id wills_one_heavy_430_82_4); construction: Wills parent + searched graph punctures; matrix aeb68707d956498f...; the release states d=4 (exact), gamma=1.1953204224856884 (exact)",
"notes": "matrix gamma_frontier_release/matrices/aeb68707d956498f5b6795ab8b037cca07260329cc203b1f9440e6ae0fb54b10.matrix"
}
]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/430.82.4.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[1052].