The circuit
The 115\times408 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 |
|---|---|
| out 0 (167) | 1··1····1·1·1···111·1·1··11····1·1··1·····1111··1·1·1··1·111···11·111···1·1··1····111···1··1··11·1··111···1·1···1····1···11···1·1·111·····1·1··111··11·11········1···1·11··11·1·1·111····1·1·1··1·1····1······1·11····1·1·1·11··1·1·1·11·····1·1··1·······1111····1·1·11·1111····11·111···1··1·1···111····1·1···11·1·111··1·1··1···1···11··1·11·11····1·1··1·11·11·11········1···1·11··1··111·11··1·1·1·1··1·1···1····1· |
| out 1 (151) | ···11·111·1······1·1111···1···11·11······11··11···111······1···11··1····111·1111···1··111·11········1·1·····1··111······111·····1···1··11·1······1··11·1······1··1··111111··1······11····1···1··1·1··1·······11··11·111·1····1···1111··1····11·11········11··11·····111····1·····11··1····1·11111·1·1··1·1111········1·1····1·11······111····1···1·11·1·······1·11·1····1····1··111111····1····1··1·1···1··1·1··1···1·1· |
| out 2 (167) | 1···1111··1·1····1····1·1·········111···1·1111·1·111····1······11·1·1··111···1····1·····1111··11·1···1····1·1··1····1·1··1··1···1·11·1·11·1·1·1··1··11·1····11·1·1·1·1·1·11···1·11··1···1·1·11·11·1·11·1·····1··1·1111··1·1··1······11··········111···1···1111···1·111··1········11·1·1··11·1··1···1······111···11·1··1···1·1·1···1·1··1·1···11·1·111·1·1·1···1·11·1··11·1···1·1·1·1·11····111····11·1·111·1·1·111··1··· |
| out 3 (143) | ···11·111········111111···1···11·11·1····111·11···111···········1··1····111·1111······111·1·········1·1·····1··11·······11······1···1··11·1······1···1·1······1·····1111111·1······11····1······1·1·11·······11··11·111······1··11111··1····11·11·1······111·11·····111···········1··1····1·11111·1····1·111·········1·1····1·11······11·····1···1·11·11······1··1·1····1·······1111111···1····1··1·1······1·1·11···1·1· |
| out 4 (159) | 1···111·1··1····1·1·1·1·1·1······1···1···1·111·1·11·····1·11····11·····1·1···1·1··1·111···1·1··1·1········1·1···1··1·1··1·········11·1·1··1··1·11····1·1·····1·1·11·1·1·1·111·1·111·1···111····1··111···1····11·1·111·1··1··1···1·1·11·1·······1···1·····1·111···1·11···1·11······11·····1··1··1··11·111···1··1··1·1······1·1··1·1·1··1·······1·1·11··1··1·1·1···1·1···1·1···11·1·1·1·11··11111···1111···1··1111··1·1·1· |
| out 5 (151) | ···11·111·······1·1·1···11····11·111····1······111·11··11111····1··1···1·11·········1·····1·········1·1·····1··11···111···1·1·1·1···1··11·····111···········11·1··11····111·1····111····111111·1··1·11·······11··11·111·····1···1·1··11·····11·111····1·········1111·1111111······1··1···1··11·······1·····1·········1·1····1·11··111···11·1·1···1·11·····11·1········11·1····11····111···1··111···1111111···1·11···1·1· |
| out 6 (31) | ···················································11················1·1··········1··1····11································································11················1··1··········1··1···11································································11··················1·········1··1····11·························································11···················1·1·········1·1····11········ |
| out 7 (159) | 1··1·1··1·1·····11··1·1··1·····1·1··1·····1111··1·1····1·111···1··111··11·1··1····111···1··1··11·1··111···1·····1····1···1····1···111·····1·1··111··11·11····1···11··1·11···1·1·11111····1·1·1··1·1····1······1·11·1··1·1···11····1·1·1······1·1··1·······1111····1·1··1·111·····1··111··11··1·1···111····1·1···11·1·111··1····11··1···1···1··1·11····1·1··1·11·11·11··1·····11··1·11·····111111··1·1·1·1··1·1···1····1· |
| out 8 (167) | ···111111·······1·1·1···111···11·11·····1·1·1··11111···········1·11·1·1·1···1111··1···111···1·11111·11·········11···111···1·1·1·····1··11·1···111··1·1··1····11·····1111··1·1·1·111·1····1··1···1······11·····1··111111·····1···1·1··111····11·11·····1···1·1····11111···········1·11·11··1···111·11···1·11···1·1111111·······11··111···11·1·····1·11·1···11·1·1·1··1··11·······1111··1···11111···1·1··1···1·····11··11· |
| out 9 (151) | ················1111111·111···1····1····11···1·111·11··········1111·1·1··11····1··1·········1·11111·1·1·············111·11····1······1····1···1111·111111···11··········11··1·1·1111·····1··1·····1111·11····11·············11··11111111····1····1····1··1···1···111·11··········1111·11····11····11··········1·111111·1··········111·11···1······1···1···11·11111·11·11············11····111111····1··1·····111111·1·1· |
| out 10 (31) | ······························1····1······1·1······1···········1········1····························································1····1········1·1······1··········1··1·······1·························································1····1········1·1········1·········1·1········1·······················································1···1········1·1····1············1··1·······1························· |
| out 11 (159) | 1··1·1·1···1····11·111··11····11··11·1····1·1·11·1·11···1·11·····1·1······1·1·1···1111··1···1··1·1··1·1···1····1···1·1···1··1··11·1111··1·1··1·111···········111·11··1·1·1·1··1·1··1····1·1··1·11··1·1··1·······11·1·1···1··11···111·11·····11··11·1······1·1·1··1·1·11·1·11·······1·1·······11·1··1111···1···1··1·1·1·1··1···1··1·1···1·1···11·111·1·1··1·1·11········111···11··1·1·1·1···11··1···1·1··11·1··1·1·1····· |
| out 12 (151) | ···111····111···1··1111···1···11····11··1··1·11···1·1·····11···111111··1111·111···1·11·····11·1·····111······1·····1111·········1···1··1····11111···11·1····1·1···11······11·····1·11········1······1··11····1···111····111·1····1111··1····11····11··1····1·11·····1·1···11·····111111··11·11111··1·11·····1·1·1····111·········1111········1···1·1····1111·1··11·1··1·1·····11······11·····1·1··1·····1······1·11·1··· |
| out 13 (159) | 1··1·1·1···1····11·111··1·1···11··11·1·····11·11·11·1···1·11·····1·1······1·1·1·····11··1···1··1·1··1·1···1····1···1·1···1··1·····1111··1·1··1·111·11·······1111·11··1·1·1·1··1·1··1····1·1·1··11··1·1··1·······11·1·1···1··11···111·1·1····11··11·1·······11·1··1·11·1·1·11·······1·1·······11·1····11···1···1··1·1·1·1··1···1··1·1···1·1····1·111·1·1··1·1·1111····11111···11··1·1·1·1···11··1···1·1·1·1·1··1·1·1····· |
| out 14 (151) | ·····1··········1111111·11····1·········11·1·1111··11······1·····1111·11111········1······111·11111·111·····1·······111·11····1·1····1········1111·1·1·11··111···1······1111··1·1··1·········1····1··1·11····1·····1········11··1111111·····1·········1··1·1·11··11··11····1·······11111·11·11······1······11·1·11111111····1·····111·11···1·1····1·······11·111·1·11·11·····1······1111···11··1········1····1··111·1··· |
| out 15 (151) | ·····1··········11·1111·111···1·········11···11111·1···········1·11·1·1··11····1··1·····1···1·11111·111·····1·······111·111···1······1········1111·111·11···1···········11·11·1·1111·····1··1····11111·11····1·····1········11···1111111····1·········1··1···11··111·1···········1·11·11····11····11······1···1·11111111····1·····111·111··1······1·······11·11111·11·1·············11·1··111111····1··1·····111111·1··· |
| out 16 (175) | 1··1·1·1···1····1111·1··1·1···11··11·1····11··11·1·1····1·11···1·1·····11·1·1·11··1·11··1·111··1·1··1·1···1····1···1·1···11·······1111··1·1··1·111··11········11·11··111·1111·1·1111····111····11···11··1·······11·1·1···1··11··11·1·1·1····11··11·1······11··1··1·1·1··1·11··1··1·1·····11··11·1·11·11···111·1··1·1·1·1··1···1··1·1···11·····1·111·1·1··1·1·11·11······11···11··111·111··111111···111···1·1···11·1····· |
| out 17 (151) | 1·11·1··1·1·1······111··1·1····1·1··1···111·1·11·1·1····1··1···11·1·1·····1·1·11··1··111··11··11·1··1·1·········1···1·1·1·1·1·····111·····1·1·1····11·········11···11·1·1··1··1·1··1····111·11····11···1········11·1··1·1·1······111·1·1·····1·1··1···1··11·1·1··1·1·1··1··1·····11·1·1······11·1·11··11·1·11···11·1·1·1·······1··1·1·1·11····1·11····1·1·1····11·······11·····11·1·1··1···11··1···111·11····11··1······ |
| out 18 (151) | 1···1·1·1··1·····1·111···1·······1·1·1··1··11·1·1·111···1·11······1·1·11··1··1······1111······1·1·1·1·1···1·····1··11·1··1··1·1···11·1·1·····11··1·11···1···1··1·11·111··1·1·······11···1·1·1··1···1·1·1········1·1·1·1··1···1···111··1········1·1·1··1····11·1···1·111·1·11·1······1·11·1···1·1·····111·1······1·1·11·1··1····1·11·1··1·1·1··1·1·11·····11···111···1·1··1···11·111··1·1·······1··11·1·1·1····1·11······ |
| out 19 (143) | ···1··111········111111·······11·11······1·1·11···1·1···········1··1···1111·1111··1···111·11········1·1····11··11·······11··········1··11·1······1·1·1·1····1·1·····1111111·1····1·11····1··1···1·1··1·······11··1··111······1··11111·······11·11········1·1·11·····1·1···········1··1···11·11111·11···1·1111········1·1····1·11······11·········1·11·1·······11·1·1··1·1·······1111111···1··1·1··1·1··1···1·1··1···1·1· |
| out 20 (159) | 1···1111··1·1····1····1·1·····1···1·1···1··1·1·1·1·11··1·11·····11·1··1·1···1·11··111111···11···1·1·111···1·1··1····1·1··1··1···1·11···11···1·1··1·11··1·····11···1·1·1·1·11·····111·······1·1·1··1·····1·····1·1·1111··1·1··1······11······1···1·1···1····1·1···1·1·111·11·······11·1·1··1···1·1·111111·1··1·1···1·1111··1·1·1···1·1··1·1···11·1··11···1·1···111··1···11·····1·1·1·1·11·····111·1····1·11···1····1···1· |
| out 21 (143) | 1···1111··1·1····1····1·1·····1···1·1···1··1·1·1·11·1···1·······1·111····1···1···1·1·1··1·····11·1········1·1··1····1·1··1··1···1·11···11···1·1··1·11··1·······1·1·1·1·1·1··1·1·1·1·1···1·11····1··1·1·1·····11·1·1111··1·1··1······11······1···1·1···1····1·1···1·11·1·1·········1·111·····1··1····1·1···1·····11·1······1·1·1···1·1··1·1···11·1··11···1·1···111··1·····1···1·1·1·1·1····111·1···11·11····1··1·11··1·1· |
| out 22 (127) | ·······11·111···111··············11111··11················1······11·1·············1·1·111··11·1················11··1111·11··············1···11·111·11············111111111111················1·11·11·1·11············11·111·11··1··············11111·11··1················1········11·1············1·1·1·11·1·1·1·············11·1111·11············1···11·1·1111············11111111111··1·············11·1·11·111····· |
| out 23 (151) | 1···1·11··1·1···1·1111···1········111····1·1··1·1·111···1······1·1·1··11··1··1·1··11·1··1···1···1·1·111···1····1·····1··1···1·1···1··1·11·1·1··11····1··1···1··1·1·1·1·11··········11···111·1···1·1·1···1·····1·1·1·11··1·1·1···1111··1····1····111······1·1··1···1·111·1········1·1·1·1·1···1·1··111·1···1···1···1·1111··1···1····1··1··1·1··1···111·1·1··1·1···1··1·1··1···1·1·1·11··········1··1111·1···1·1·1··1···1· |
| out 24 (159) | ·····1·······1······1·····1···1····1······11······1····11111···1·1111·1··11·1111····1·111··11·11111·111·····1······1········1···1····1····1········11·······1111··11111111·1··1·11111···1·1111·11·11·1·11····1·····1··············1····1····1····1········11········1··11111·····1·11111····11111·1··1·1·11·1·1·11111111····1····1·······1···1····1···1········11·····1111····11111111·1···11111··11·11111·1·11·111·1··· |
| out 25 (151) | 1··1····1·1·1·····1111··1······111·11···11····11·111···1·11······1····1111···1·····111··1··11···1·1··1····1·1···1···1·1·1···1···1·111···1···1·1·····11······11····1··1·1·1·11·······1····1·111·11··111··1····1··11····1·1·1·····1111·1·······1·1·11···1··1····1··1·111·1·11········1···1·11·1··1····111···1·1·1···1·1·1···1·1··1··1·1·1··1···11·11··1···1·1·····11····11······1··1·1·1·1··1·······1·1·1111·1··111·1·1··· |
| out 26 (143) | ··················1·1·········1····1··············1·1··1111····1·1111·11·11·1111···111111·1·1·11111·111···················1·1········1····1·················1·11·11111111··1··1·1·111···1·111···1·1·11·11····1··················1·1·········1····1··················1·11111·····11·11111·1··11111·1·1111·111··1·11111111················11········1···1···············1·11···11111111··1···11·11··11·111···1·1·1111·1··· |
| out 27 (167) | 1··1····1·1·1···111·1·1··11····1·1··1·····1111··1·1·1··1·11···11··111···1·1··1·····111··1·1···11·1··111···1·1···1····1···11···1·1·111·····1·1··111··11·11·········1··1·1····1·1·1·111····1·111·11·111··1······1·11····1·1·1·11··1·1·1·11·····1·1··1·······1111····1·1·11·11······1··111···1··1·1····111···11····11·1·111··1·1··1···1···11··1·11·11····1·1··1·11·11·11·········1··1·1······111·11··1·1·1111·1·111·1····1· |
| out 28 (143) | ···111111········1·1·11·······1··111·····1·1·11········1111·····111·1·1·1·········1111····1·1·11111··1·········11·······111·1·······1·111········1·1·1·1·······1·111·······11·1·111·····1111·······1···11·····1··111111······1···1·11·······1··111·······1·1·11········1111·······111·11··1········1111····1··1·11111·1·······11······1111·······1·11·········11·1·1·····1···111·······1··11111····1111·······1··11···1· |
| out 29 (167) | 1···1·1·1··1·····1·111···1·······1·1·1··1··11·1·1·1·1···1·11······111·11··1··1·1···11111···1··1·1·1·111···1·····1··11·1··1··1·1···11·1·1·····11··1·11···1······1·11·1·1··1·11···1··11···111·11·1···111·1······1·1·1·1·1··1···1···111··1········1·1·1··1····11·1···1·1·1·1·11········111111···1·1··1·1111·1··1···1·1·1111··1····1·11·1··1·1·1··1·1·11·····11···111···1····1···11·1·1··1·1··1·1··1··1111·111····1111····1· |
| out 30 (159) | 1······1···1······1···1··1····11··11·1··111111··1·······1·11····1·1·1·1111··1·1·····11··1·1···1·1·1··1····1·1··1···11·1·1···1·1···1111··1·1··11····1·1·11···1·11·11··1·11·11············1·1·1··11·111··1·····1··1····1···1······1···1·1·····11··11·1··1··11111····1·····1·11······1·1·11·11·1·1·1····11···11····1·1·1·1···111·1··11·1·1··1·1··1·111·1·1··11····1·1·11·1·11···11··1·11·11···········1·1·1·1·1·111·1··1··· |
| out 31 (159) | 1···1111··1·1···1·1111···11·······111····1111·1·1·11····1······1·1·1··1···1··1····1·····1···1···1·1·1·1···1·1··1·····1··1···1·1·1·11·1·11·1·1··111·1····1···11·1·1·1·1·11········1·11···1·1·11·11·1·1···1·······1·1111··1·1·1···1111··11········111·····11111·1···1·11··1········1·1·1·1·····1·1···1······1···1···1·11·1··1·1·1····1··1··1·1·11·1·111·1·1··1·111····1·11·1···1·1·1·11········1·1··11·1·111·1·1·1··1····· |
| out 32 (159) | ···111111·······1·······111···11·11·····1······11111······11···1111·1·1·····1111···1··111··11·11111··1·········11···111·······1·····1··11·1···111·······1····11·11··1111··111·1·11··1····1···1··1···1··11·····1··111111·····1········111····11·11·····1··········11111····11·····1111·11······111·1·1··1·11·1·1·11111·1·······11··111······1·····1·11·1···11·1······1··11····1··1111··11··1111····1·1···1··1···1·11···1· |
| out 33 (159) | 1···1111··1·1····11·1·1·1·····1···1·1···1·1111·1·11·1···1······11·111···11···1·1········1·1···11·1····1···1·1··1····1·1··11·····1·11···11···1·1··1··11·1·······1·1·1·1·1·11·1·1·1···1···111··1·11····1·1·····11·1·1111··1·1··1··1·1·11······1···1·1···1···1111···1·11·1·1········11·111···1·1··1··1·······11····11·1···1··1·1·1···1·1··11····11·1··11···1·1···1·11·1·····1···1·1·1·1·11···111·····1111··11·1····11··1·11 |
| out 34 (159) | ·····1·11·111······1111·11·······11·11····1··11111·1·1····11···11··1··11111····1····11111······1111·1·1·····1··11··1··········1·1·······1·1·11·····1·1·11···1·1···111111··111·1·1··1·····1··11··1············11····1·11·111······111111········11·11······1··11··111·1····11·····11··1·1·11·11····1··111·11······11111·1····1·11·1·········1·1······1·1·11·····1·1·11·1·1·····111111··11··111··1····1··11··1········1·1· |
| out 35 (167) | 1···1111··1·1····11·1·1·1·····1···1·1···1·1111·1·1111···1····1·11·1·1··111···1····1·····1·11··11·1········1·1··1····1·1··11·····1·11···11···1·1··1··11·1····1··1·1·111·1·11···1·11··1···1·1·11·11···11·1·····11·1·1111··1·1··1··1·1·11······1···1·1···1···1111···1·1111·1········11·1·1··11·1··1···1······111···11·1······1·1·1···1·1··11····11·1··11···1·1···1·11·1··1··1···1·111·1·11····111····11·1·111·1···111··1·1· |
| out 36 (63) | ··················1·1·········1····1···············11··········11··1···11······1··1·······11······························1·1········1····1·················11············111····111·····1··1······11···························1·1·········1····1···················11··········11··1···111······11·······11···························11········1···1···············11··············11··1··111····1··1······11········ |
| out 37 (159) | 1··1····1·1·1···111·1·1··11····1·1··1·····1111··1··11······1···1·1·1··1··1··1·11···1·111···11···1·1··1····1·1···1····1···11···1·1·111·····1·1··111··11·11····111···11·1··111·····11·····111········111··1····1··11····1·1·1·11··1·1·1·11·····1·1··1·······1111····1··11····1·····1·1·1·1····1·1·1·1·1·11·1··1·1···1·1·1···1·1··1···1···11··1·11·11····1·1··1·11·11·11··111·1···11·1··111·····11····111········111·1·1··· |
| out 38 (151) | ···111111·······1·1·1···111····1·111····1······111·11··111111··11··1···1·11·······1·1···············1·1········11···111···1·1·1·····11·11·····111·······1···11·1··1·····11··1····111····1111·1·1··1111·······11··111111·····1···1·1··111·····1·111····1··········111·1111111·····11··1···1··11·····1·1···············1·1······11··111···11·1·····1111·····11·1······1·11·1····1·····11····1··111···1111·11···1111···1·1· |
| out 39 (31) | ·····1····················1···············1·········1··················1·············1·····1················1···················1············1·····1·········1···················1·············1····1··············1···················1············1·····1···········1··················1············1·····1···············1················1···········1·····1·······1·····················1···········1·····1········ |
| out 40 (151) | 1···1·11··1·1···1··111···11·······1·1····1·1··1·1··1···1·11····11·111····1··1·1····111·1··1···11·1········1····1·····1··1·1·1·1·1·11·1·11···1··11····1··1·····1···1·1·1··11·1·1·1·1······1·111·1·····1·1·····11·1·1·11··1·1·1····111··11········1·1······1·1··1···1··1·1·11······11·111·····1·1·1···111··1·1····11·1······1···1····1··1·11·1·11·1·111···1··1·1···1··1···1·····1·1·1··11···111·1·····1·11111·····11··1·1· |
| out 41 (159) | 1··1····1·1·1···11····1··11···11·1·11·····1111··1·······1······111····1111··1·11··111111····1···1·1·······1·1···1····1···1··1·1·1·1111······1··111··11·11···1·11·1·11·1··11·1···········111·1·1····1·1··1····11·11····1·1·1·11······1·11····11·1·11·······1111····1·····1········111···1·11·1·1·1·111111·1····1···1·1·····1·1··1···1···1·1·1·11·111·····1··1·11·11·11·1·11···1·11·1··11···1········111·1······1·1·1·1·1· |
| out 42 (143) | ···111111········111111·······11·11·······11·11···11············1··1···1111·1111··1···111···········1·1········11·······11··········1··11·1······11··1·1·····11·····1111111·1····1·11····1··1···1·1111·······11··111111······1··11111·······11·11·········11·11·····11············1··1···11·11111·11···1·11··········1·1······11······11·········1·11·1·······1··1·1···11·······1111111···1··1·1··1·1··1···1·1111···1·1· |
| out 43 (143) | ···111111·······1·1·1···111···11·11·····1·1·1··111·····1111·····1·········1····1···111····1·········111········11···111···1·1·1·····1··11·1···111··1·1··1······1·111····111·······11····1·111·····1·11·······1···111111·····1···1·1··111····11·11·····1···1·1····111···1111·······1··········1····1·111····1·········111······11··111···11·1·····1·11·1···11·1·1·1··1····1···111····111·······111··1·111·····1·11···1··· |
| out 44 (159) | ···1111···111····1······11····11···111···1··1··111·11··111······111·1··1·11····1···1··111·1·1·······111············1····111···1·1···1··1··1·11···1·111··1···11·1····1111···11····111····1·11·1··1··1···111···1···1111···111··1·······11·····11···111·····1··1····111·11111········111·1··1··11····1·1··1·111··1······111·········1····111··1·1···1·1··1·11····1111··1·11·1······1111···1··1··111···1·11·1··1··1··11·1··· |
| out 45 (159) | ···111111·······1·11····111····1·111····1·11···1111·1··········111111·11····111·······111·1·1·11111··1·········11···111···11··1·····11·11·····111··11···1···1·1·····1111··11··1·1···1···········1··1···11·····1··111111·····1···11···111·····1·111····1···11·····1111·1··········1111111·1····111······1·111··1·11111·1·······11··111···1··1·····1111·····11·1·11···1·1·1·······1111··11···11·····1········1··1··11···1· |
| out 46 (63) | ··················1·1·········1····1······1111·····11··············1···1·······1··1·······11······························1·1········1····1········111······11··············1····1·······1··1······11···························1·1·········1····1········1111·······11··············1···1········11·······11···························11········1···1········1111···11··················1··1······1··1······11········ |
| out 47 (151) | ···111111········1111111··1···11·11······1·1·11···1·1···········1··1···1111·1111·····1111···········1·1········11·······11····1·1···1··11·1······1·1·1·1····1·1·····1111111·1····1·11····1·····11·1111·······11··111111······1··11111··1····11·11········1·1·11·····1·1···········1··1···11·11111·1···11·11··········1·1······11······11···1·1···1·11·1·······11·1·1··1·1·······1111111···1··1·1··1·1····1·1·1111···1·1· |
| out 48 (143) | ·····1··········11·1111·111···1·········11···11111··1············1111·11111·1·············111·11111·111·····1·······111·111···1······1········1111·111·11····1··········1111··1·1··1·1············1··1·11····1·····1········11···1111111····1·········1··1···11··111··1············11111·11·111············11·1·11111111····1·····111·111··1······1·······11·11111·11··1············1111···11··1·············1··111·1··· |
| out 49 (151) | 1··1·1·1···1········1·1··1····11·11··1··11·1·1··1·11···1·1·1·····1·····1··1··1····11··11··1·1··1·1··111···1····1···11·1·1·1···1···1111··11···11········11···11·····11·1··1·11·1·11·11····1·11··1·····1··1·····1·11·1·1···1········1·1·1·····11·11··1··1··1·1·1····1·11·1·1·1·······1·····1···1·1···11··1·1·1··1··1·1·111··1···1··11·1·1·1··1··1·111·1····11········11·11·······11·1··1·1··1111·1··1·1·11·1······1·1···1· |
| out 50 (167) | 1··1·1··1·1·1···111···1··1····11·1·11······1·1··1·111··1·111······1·1·····1··1·····111··1·1···11·1··1111··1·····1····1···11·1·1···1111······1··111·11··11···1····11··1·11·1···1·1··11····1·111·11·111··1······1111·1··1·1·1·11··1···1·1·····11·1·11········1·1····1·1111·111········1·1······1·1····111···11····11·1·1111·1····1···1···111·1··1·111·····1··1·1111··11·1······11··1·11·1····11··1··1·1·1111·1·111·1····1· |
| out 51 (151) | 1···1·1···1·1····11·1·1·1·········111···1·1111·1·11·1···1·······1·111····1···1·1········1·····11·1········1····1····1·1··11·····1·11·1·11·1·1·1··1··11·1·······1·1·1·1·1·1··1·1·1·1·1···111··1·11··1·1·1·····11·1·1·1···1·1··1··1·1·11··········111···1···1111···1·11·1·1·········1·111·····1··1··1·······1·····11·1······1··11···1·1··11····11·1·111·1·1·1···1·11·1·····1···1·1·1·1·1····111·1···1111··11·1··1·11··1·1· |
| out 52 (159) | 1··1·1·1···1····1111·1··1·1····1···1·1····1·1·11·1······1·11···111·····1··1·1·11··1·11··1·111··1·1··1·1···1····1···1·1···11·······111···1·1··1·111··········1·11·11··1·1·11·1·1·11·1····111····11···11··1·······11·1·1···1··11··11·1·1·1·····1···1·1······1·1·1··1·1····1·11·····111·····1···11·1·11·11···111·1··1·1·1·1··1···1··1·1···11·····1·11··111··1·1·11·······1·11···11··1·1·11···1111·1···111···1·1···11·1····· |
| out 53 (167) | ···11·1···111····1··1···11····11···111···1·····111·11··111·1····11111··1·11····1··11··111·1·1·1·····111·····1······1····111·1·1·1···1·····1·11···1·11···1···11·1·1··1111···1·····111····1·1111··1··1···11····1···11·1···111··1····1··11·····111··111·····1·······111·11111·1······11111··1··11····111··1·111··1·1····111····1····1····1111·1·1···1····1·11····111···1·11·1···1··1111···1·····111···1·1111··1··1··11·1··· |
| out 54 (151) | ···11·111··1·····1·1111···1···11·11······1·1·11···111······1·······1····111·1111··1···111·11········1·1·····1··11·1·····111·····1···1··11·1······1·1·1·1······1··1··111111111······11····1··1···1·1··1·······11··11·111··1···1···1111··1····11·11········1·1·11·····111····1·········1····1·11111·11···1·1111········1·1····1·11······111····1···1·11·1·······11·1·1····1····1··11111111··1····1··1·1··1···1·1··1···1·1· |
| out 55 (151) | 1··1·1·1···1····11·111··1·1··1·1··11·1····1·1·11·1·11···1·11···111·1······1·1·1·····11··1···1··1·1··1·1···1····1···1·1···1··1·····11····1·1··1·111···········111·11··1·1·11···1·1··1····1·1·1··11··1·1··1·······11·1·1···1··11···111·1·1·····1··11·1······1·1·1··1·1·11·1·11·····111·1·······11·1····11···1···1··1·1·1·1··1···1··1·1···1·1····1·1···1·1··1·1·11········111···11··1·1·11····11··1···1·1·1·1·1··1·1·1····· |
| out 56 (159) | 1··1···11··1····11·111··1·1····1··1··1····1·1·11·1·11···1·11···1·1·1····1·1·1·1·····11··1·1·1··1·1··111···1·1·11···1·1···1··1·····111···1····1·111···········111·11··1·1·111··1·1·11····1·1·1··11····1··1·····1·11···11··1··11···111·1·1·····1··1··1······1·1·1··1·1·11·1·11·····1·1·1····1··11·1····11···11··1··1·1·111··1·1·1··1·1···1·1····1·11··1····1·1·11········111···11··1·1·111···11·11···1·1·1·1·1····1·1···1· |
| out 57 (151) | ·······11·111···11········1···1··11·11··111········11·····1····111111···1······1····1·111·11··1················11··1111·111·····1····1··1·1·111111··1·······11···111111111········1······1··11·11·1··1111············11·111·11·········1····1··11·11··1··11··········11···1······111111···1·······1··1·1·1111···1·············11·1111·111····1····1·1·1·1111·11·1·····11·····111111111········1·····1··111·1·1··111····· |
| out 58 (151) | ················1111··1·111···1····1····11111111111·1··1111····11···········1111···111111·1··········1··············111·11··1·1······1····1···1111·····11···1·11·1111111··11········1···1·111···1··1··········1·············11··11··1111····1····1····1··111111··1111·11111······11···········111·1·1111·111··········1···········111·11·111······1···1···11·11····11·1·11···1111111··11··········11·111···1··1·······1· |
| out 59 (143) | ···111111······1·111111···1····1·111·····1·1·11···1·1··········11··1···1·11·111·······111···········1·1········11·····1·11······1···11·11········1·1·1·1····1·1·····111111··1····1111···········1·1111·······11··111111······1··11111··1·····1·111·······1·1·11·····1·1··········11··1···1··11111······1·11··········1·1······11····1·11·····1···1111·········11·1·1··1·1·······111111····1··111··1········1·1111···1·1· |
| out 60 (55) | ······························1····1······1·1······11··········1···1···11······1··1·······1········1·································1····1········1·1······11············1·1····11······1··1······1·········1······························1····1········1·1········11··········1···1···11·······11·······1······································1···1········1·1····11··············1···1··11·····1··1······1·····1··· |
| out 61 (151) | ···11·111········1·1111········1·11······1···11···1·1······1····1··1····111·1111··11··111·11······1·1·1·····1··11·······111·········11·11·1······1·111·1····1·1··1··1111111·1······11····1··11··1·1··1······111··11·111······1···1111········1·11········1···11·····1·1····1······1··1····1·11111·111··1·1111·······11·1····1·11······111········1111·1·······1111·1··1·1····1··1111111···1····1··1·1··11··1·1··1···1·1· |
| out 62 (143) | 1··1···1·1·1········1·1··1·····1··1··1··11·1·1··1·······1·11····1·1·1·1111··1·1·····11··1·1···1·1·1··1····1·1······11·1·1·1···1···111···1····11········11···1·11·11··1·11·11············1·1·1··11·111··1·····1··11···1···1········1·1·1······1··1··1··1··1·1·1····1·····1·11······1·1·11·11·1·1·1····11···11····1·1·1·1···1·1····11·1·1·1··1··1·11··1····11········11·1·11···11··1·11·11···········1·1·1·1·1·111·1··1··· |
| out 63 (151) | 11·1·1··1·1·1·····11·1··1·1···11·1·11···11·11·11·1··1···1··1······111··1··1·1·1···11·111······11·1··1·1··11·····1···1·1·1·········1111······1·1·············1111···11·1·1·1·1·1·11·1····1·1·1·····1·1··1········11·1··1·1·1·····11·1·1·1····11·1·11···1··1·11·1··1·1··1·1··1········111··1···11·1··11·11·1······11·1·1·1·11····1··1·1·1·······1·111·····1·1···········1111·····11·1·1·1···1111·1···1·1·1·····1·1·1······ |
| out 64 (143) | ·····1··········1111·11·111········1····11···11111111··1111·············1···1·11···111111·1·················1·······111·11··1·1···········1···1111·111·11·····11·1111111··········1·1·1·1·111···1··1···············1········11··11·11111·········1····1··1···11··1111111111···············1···1·1·1·1111·111················1·····111·11·1·1··········1···11·11111·11···11···1111111··········1···11·111···1··1········· |
| out 65 (151) | 1··1·1··1·1·1·····11·1··1·····11·1··1···11111·11·1·11···1··1······111··11·1·1·1····1·111·····111·1··1·1···1·····1···1·1·1·······1·1111····1·1·1····1·········111···11·1·1·1·1·1·1111····1·1·······1·1···········11·1··1·1·1·····11·1·1······11·1··1···1··1111·1··1·1·11·1··1········111··11··11·1···1·11·1······11·1·1·1··1····1··1·1·1······11·111···1·1·1····1·······111·····11·1·1·1···111111···1·1·······1·1········ |
| out 66 (47) | ·····1····················1···1····1······1········1···········1···1····1·········1·······1·················1···················1·1··1····1········1········1·············1·1·····1·········1······1···············1···················1·1··1····1········1··········1···········1···1····1········1·······1················1················11···1···1········1······1···············1···1···1········1······1········· |
| out 67 (159) | ·····1·11·111······1111·11····1··11111······111111·11·····11····11·1··1··11·······111·111·1····1111·111·····1··11··1··········1·1····1··1···11·········11···11····111111···11·1·1111···········11··1·········1·····1·11·111······111111·····1··11111········111··111·11···11······11·1·1····11·····111·1·111·····1111111····1·11·1·········1·1····1·1···11·········11·11······111111···11·111111·········1·1··1·····1··· |
| out 68 (159) | ···1111···111····11·1···11····11···111···11····111·····111······11111····11····1··11·1111··11·1·1···111············1····11··1·1·1···1··1··1·11···1··1···1······1····1111···1······11····1·1111·11···1··11·1··1···1111···111··1··1·1··11·····11···111·····11······111···111········11111·····11····111·11·11·1·1·1·1··111·········1····11·1·1·1···1·1··1·11····1·1···1····1······1111···1······11···1·11111·1···1·11·1··· |
| out 69 (143) | ···111111·······1·······111···11·11·····1······11111·············11·1·1·····1111··1···111···1·11111··1·········11···111·······1·····1··11·1···111·······1····11·····1111····1·1·11··1····1··1···1····1·11·····1··111111·····1········111····11·11·····1··········11111·············11·11······111·11···1·11··11·11111·1·······11··111······1·····1·11·1···11·1······1··11·······1111······1111····1·1··1···1····111···1· |
| out 70 (167) | 1···1111··1·1···1··1111··11·······111····111··1·1······1·11····11·111···11··1·1····11111······11·1········1·1··1·····1··1·1·111·1·11·1·11·1·1··11··1·1··1···1·1···1·1·1··11·1·1·1········1·111·1···1·1·1·····11·1·1111··1·1·1····1111·11········111······111··1···1····1·11······11·111···1·1·1·1···1111·1······11·1······1·1·1····1··1·11·1·11·1·111·1·1··1·1·1·1··1·1·1·····1·1·1··11···111·······1·1111····1·11··1·1· |
| out 71 (127) | ···11·111········111111·······11·11······111111···11············1·······111·111·······111···········1·1·····1··1········11··········1··11·1······1·····1·····11·····1111111········11···········1·1111·······11··11·1111·····1··11111·······11·11········111111·····11············1·······1·11111······1·11··········1·1····1·1·······11·········1·11·1·······1····1···11·······1111111········1··1········1·1111···1·1· |
| out 72 (143) | ···11·1···111···11··1···111···11····11···1·····1111·1·····11·······1··111···111····111····11···1111·········1······1···1111·1·1·····1··1····11···1·11···1···1·1···11····11111·1·1·1·1·······1·····1··1···········11·1···111·11····1··111····11····11·····1·······1111·1···11·········1·1·11···111···111····11····1111·······1····1····1111·1·····1·1····11····111···1·1·1·····11····1111··111·1···1····1·····1··1······· |
| out 73 (151) | ·······11·111······1111·111···1··11·11····1111111111···111·····1111·1·······1111···1······111·1······1·········11··1··········1······1··1·1·11··1··11··11····111········11··1·······1···1·11·1····1··1·11·····1······11·111······1111111····1··11·11···1··11111··11111·111·······1111·1·······111·1·1······11·1·1·····1·······11·1·········1······1·1·1·11···1·11··11··111··········11····1·······11·11·1····1··111···1· |
| out 74 (143) | ················1111·11·111···1····1····111··111111·1··1111····1········1···1111···111111···························111··1··1·1······1····1···1111··11·11···1·11·1111111··1·······1·1···1·111···1···························111·11·11111····1····1····1··11··11··1111·11111······1········1···111·1·1111·11·······················111··1·1·1······1···1···11·11·11·11·1·11···1111111··1·······1···11·111···1············ |
| out 75 (143) | ·····1··········1111111·11···········1··11···11111··1···········11111·1·111········1······111·11111·111·····1·······111·11····1·1··········1··1111·111·11····1··········111···1·11·1·········1····1··1·11····1·····1········11··1111111············1··1··1···11··111··1···········111111··1·11······1······11·1·11111111····1·····111·11···1·1············11·11111·11··1············111····111·1········1····1··111·1··· |
| out 76 (167) | ···111111·······1·1·····111···11·11·····1·11···11111···········1111·1·1·····1111··1···111··11·11111··1·········11···111··11···1·····1··11·1···111··11···1····11·····1111··111·1·11··1····1··1···1···1··11·····1··111111·····1··11····111····11·11·····1···11·····11111···········1111·11······111·11···1·11·1·1·11111·1·······11··111··11··1·····1·11·1···11·1·11···1··11·······1111··11··1111····1·1··1···1···1·11···1· |
| out 77 (151) | ···11·111········111·11·······11·111·····1···11····11··11111····111·1·111···········1······11·1·111··1······1··11·······11··1·······1··11········1·111·1····11·1··11·······11·1·1·1·····111111·1····1··11·····1··11·111······1··11·11·······11·111·······1···11······1111111······111·11·11··········1······1·1·1·111·1·····1·11······11·1·······1·11·········1111·1··11·1····11·······1··111·1····1111111·····1·111··1· |
| out 78 (151) | ···11·111········111·11········1·11······11·111····11··11111····111·1·111······1····11·····11·11111··1······1··11·······11··1·······11·11·1······1··1··1····11·1··11·······11·1·1·1·····1·1111······1··1······1··11·111······1··11·11········1·11········11·111······1111111······111·11·11·······1··11·····1·1111111·1·····1·11······11·1·······1111·1·······1·1··1··11·1····11·······1··111·1····1·1111······1·1····1· |
| out 79 (159) | 1··1····1·1·1···111·1·1··11····1·1··1·····1111··1··11···1······111·1··1·11··1·11···1··11··111···1·1·······1·1···1····1···11···1·1·111·····1·1··111··11·11····111·1·11·1··11······1·······11····1····11··1····11·11····1·1·1·11··1·1·1·11·····1·1··1·······1111····1··11·1········111·1·1··1·1·1·111·1··1·1·11·1···1·1·····1·1··1···1···11··1·11·11····1·1··1·11·11·11··111···1·11·1··11······1······11···1·····11·1·1·1· |
| out 80 (143) | 1···1·11··1·1····1····1·1·1·······111·1·1·1·11·1·1111···1······11·1·1···11···1·····1·1··1·····11·1···1····1····1····1·1··1··1·····11·1·11·1···1··1···1·1····1··1·1·1·1·1·11···1·1···1···1·1·····1··1·1·1·····1··1·1·11··1·1··1······11·1········111···1···1·11···1·1111·1········11·1·1···1·1··1····1·1···1·····11·1··1···1···1···1·1··1·1····1·1·111·1···1···1··1·1··1··1···1·1·1·1·11····11·····11·1·····1··1·11··1··· |
| out 81 (151) | 1···1·11··1·1···1··1·1···1····1···111··1·11·1·1·1·11····1··1···111····11··1··1·····1·1··1·111···1·1·111···1····1·····1··1·1···1···11···11·1·1···1··11···1···11·1···1·1·11··11······11···1·1·····1·11····1·····1·1·1·11··1·1·1····1·1··1·····1···111······11·1·1···1·11··1··1·····111···1·1···1·1····1·1···111·1···1·1111··1···1····1··1·1··1··1·1··11·1·1····1·11···1·11·1·····1·1·11··1··1····1··11·1·····1·11···1···1· |
| out 82 (151) | ···11·1···111···1··1111···1···11····11··1·1··11···11······11···111111·1·111·111···111·····1·1·1·····111·····1······1111·········1···1··1····11111··1·1·1·····11···11······11···1···11··········1···1···11····1···11·1···111·1····1111··1····11····11··1···1··11·····11····11·····1111111··1·11111··111·····1··1·1····111····1····1111········1···1·1····1111·1·1·1·1···11·····11······11·······1··1······1····1··11·1··· |
| out 83 (167) | ···1111···111····11·1···11····11···111···11····111·1···111·1·····1111··1·11···11··11··111·111·1·····111············1····11··1·1·1···1··1··1·11···1··1···1···1··1·1··1111·········111···11·1111··1··11··11····1···1111···111··1··1·1··11·····11···111·····11······111·1·111·1·······1111··1··11··1·111··1·1111·1·1····111·········1····11·1·1·1···1·1··1·11····1·1···1·1··1···1··1111·········111···1·1111··1··11·11·1··· |
| out 84 (127) | ···11·1···111····11······11···11····11···1·····11111······11···1······1·····111···111··········1111·········1······1····11····1·····1··1····11···1·11···1····11···11····11·1··1·11··1··········1··1111···········11·1···111··1··1·····11····11····11·····1·······11111····11·····1·····1······111··111···········1111·······1····1····11···11····1·1····11····111···1··11·····11····11·1···111····1······1···1111······· |
| out 85 (167) | 1···1111··1·1·1··11·1·1·1·1···1···1·1···1··1·1·1·111····1······11·1·1··111···1·1··1··1··1·11··11·1········1·1··1····111··11·······11···11···1·1··1·11··1····11·1·1·1·1·1·11···1·11··1···111·11··1···11·1·····11·1·1111··1·1··1··1·1·11·1····1···1·1···1····1·1···1·111··1········11·1·1··11·1··1··11··1···111···11·1······1·1·1···111··11·····1·1··11···1·1···111··1··11·1···1·1·1·1·11····111····1111·11··1···111··1·1· |
| out 86 (143) | ···11·111·······1·1·1···11····11·111······1·1··111·····11111···11·······111·······1·11·····1········1·1·····1··11···111···1·1·1·1···1··11·····111··1·1··1······1··11····11·········1····1111·1····11·1·······11··11·111·····1···1·1··11·····11·111········1·1····111···11111·····11·······1·11·····1·11·····1········1·1····1·11··111···11·1·1···1·11·····1111·1·1··1····1····11····11·········1···1111·1····11·1···1·1· |
| out 87 (143) | 1··1·1··1·1·1······1·1··1·1·1··1·1··1···111···11·1·1····1······1··1·1·····1·1·11·····111··1···11·1··1·1···1·····1···1·1·1·1·······111·····1·1·1····111········11·1·11·1·1·····1·1··1····111··1····111··1········11·1··1·1·1······1·1·1·1··1··1·1··1···1··11···1··1·1·1··1········1··1·1······11·1·1···11·1·1····11·1·1·1··1····1··1·1·1·1·····1111····1·1·1····111······11···1·11·1·1······11··1···111··1····111·1······ |
| out 88 (151) | 1···1·11··1·1····11·1·1·1·11······111···1·1·11·1·1111···1·······1·1·1····1···1·1···1····1·····11·1···1····1····1····1·1··11······111·1·11·1·1·1··1···1·1····1··1·1·1·1·1·1····1·1·1·1···111····11··1·1·1·····1··1·1·11··1·1··1··1·1·11·11·······111···1···1·11···1·1111·1·········1·1·1·····1··1··1·1·····1·····11·1··1···1···1···1·1··11·····1·1·111·1·1·1···1··1·1··1··1···1·1·1·1·1·····11·1···1111···1·1··1·11··1··· |
| out 89 (151) | 1··1···1···1······1·1·1··1·····1··11·1··1111·1··1·1····1·1·1···111·1····1·1··1·1···1··11····1··1·1··111···1·1··1···11·1·1·····1···111···1·1··11····1···11····1·····11·1··11···1·1·111······1···11··1·1··1·····1·11···1···1······1·1·1·1······1··11·1··1··111·1····1·1··1·1·1·····111·1····1··1·1··1·1··111····1··1·1·111··1·1·1··11·1·1····1··1·11··1·1··11····1···11··1·······11·1··11····11·11··1···1··1·1··1·1·1···1· |
| out 90 (167) | 1···1111··1·1···1111·1···11···1···1·1····11·1·1·1··11··1·11····1··1·1··1·1··1·11··111111···1··11·1···1····1·1··1·····1··1·····1·1·11···11···1··11··11···1····11···1·1·1··111··1·111········1·1·1···111·1·····1··1·1111··1·1·11··11·1··11····1···1·1······11·1·1···1··111·11······1··1·1··1··1·1·1·111111·1··1···11·1··1···1·1·1····1·11····1·11·1··11···1··1·1·11···1··11·····1·1·1··111···1111·······1·11····1111··1··· |
| out 91 (159) | 1···1111··1·1····11·1·1·1·········111···1··1·1·1·111····1·······1·1·1··1·1···1·11····1··1·11··11·1········1·1··1····1·1··11·····1·11·1·11·1·1·1··1·11··1····11·1·1·1·1·1·1····1·111·1···11···1··1···11·1·····11·1·1111··1·1··1··1·1·11··········111···1····1·1···1·111··1·········1·1·1··1··1··1··1···1···111···11·1······1·1·1···1·1··11····11·1·111·1·1·1···111··1··11·1···1·1·1·1·1·····1111···111···1··1···111··1·1· |
| out 92 (167) | 1···1111··1·1····1····1·1·········111···1·1111·1·111····11·1····1·1·1··1·1···1·1··1··1··1·11··11·1········1·1··1····1·1··1··1···1·11·1·11·1·1·1··1··11·1····11·1···1·1·1·1····1·111·1···111·11··1···11·1·····11·1·1111··1·1··1······11··········111···1···1111···1·111··11·1······1·1·1··1··1··1··11··1···111···11·1······1·1·1···1·1··1·1···11·1·111·1·1·1···1·11·1··11·1··1··1·1·1·1·····1111···1111·11··1···111··1·1· |
| out 93 (143) | ···11·1···111···1··1111·······11····11··1·11111···11······11···1111·1···111·111···111·······1·1·····1·1·····1······1·11·············1··1····11111··11··1·····11···11······111······11··········1·······11····11··11·1···11111····1111·······11····11··1···11111·····11····11·····1111·1···1·11111··111········1·1····1·1····1····1·11············1·1····1111·1·11··1···11·····11······11··1····1··1······1·······11·1·1· |
| out 94 (151) | 1···1111··1·1····11·1·1·1·········111···1··1·1·1·11·1···1·······1··11··1·1···1·······1··1·····11·1········1·1··1····1·1··11·····1·11·1·11·1·1·1··1·11··1·······1·1·1·1·1·1··1·1·111·1···1·1··1··1··1·1·1·····11·1·1111··1·1··1··1·1·11··········111···1····1·1···1·11·1·1·········1··11··1··1··1······1···1·····11·1······1·1·1···1·1··11····11·1·111·1·1·1···111··1·····1···1·1·1·1·1···111111···11·1··1··1··1·11··1·1· |
| out 95 (167) | 1···111·1··1····1·1···1·1·····1··1·1·1···11111·11111····1·1····111·····111···1·1····1111··1·1··1·1········1·1···1··1·1··1···1···1·11···1·····1·11··1·1·1··1·11·1··1·1·1·1··11·1·11··1···111·1··1··111···1····11·1·111·1··1··1···1···11······1··1·1·1·····11111···11111··1·1······111·····11·1··1··1··111·1·1··1··1·1······1·1··1·1·1··1··1···11·1··1·····1·1·1·1·1·1··11·1····1·1·1·1··1··1111····1111·1·1···111··1·1·1· |
| out 96 (151) | ·······11·111·····11·11·111······11111·····1·11·1111···111······111·1···1···111····1·1····111·1······1·········11··1······1·1·1·········1···11······11·111···111········111·1·····1·1···1111·1·1··1··1·11·····1······11·111·····11·11111·······11111·······1·11···1111·111········111·1···1···111···1·1····11·1·1·····1·······11·1······11·1········1···11······11·11··111··········111···1···1···11111·11···1··111···1· |
| out 97 (159) | ···11·1···111···1·11·11···1····1···111··1·1··11···11······11···11111····111·1111··1111····1·1·1·····111·····1······1111···1·1···1···11·1··1·11111··1·1·1·····11···11······11·1·····11····1·········1···11····1···11·1···111·1···11·11··1·····1···111··1···1··11·····11····11·····11111····1·11111·11111····1··1·1····111····1····1111···11···1···111··1·1111·1·1·1·1···11·····11······11·······1··1·1·········1··11·1··· |
| out 98 (159) | 1···111·1··1····1·····1·1·1···1··1·1·1···1·111·1·11·····1·11···111·····111·1·1·1··1·1111··1·1··1·1········1·1···1··1·1··1·1·1·····11···1·····1·11····1·1·····1·1·11·1·1·1··11·1·11······111····1··111···1····11·1·111·1··1··1·······11·1····1··1·1·1·····1·111···1·11···1·11·····111·····11·1··1··11·111·1·1··1··1·1······1·1··1·1·1··1·11····1·1··1·····1·1·1···1·1···1·1···11·1·1·1··1··1111·····111···1···111··1·1·1· |
| out 99 (143) | ···111111·······1·1·1···111···11·11·····1·1·1··111······1111···11········11·········11····11········1·1········11···111···1·1·1·····1··11·1···111··1·1··1······1··11····11········11····111111····1··1·······11··111111·····1···1·1··111····11·11·····1···1·1····111····1111·····11·········11·······11····11········1·1······11··111···11·1·····1·11·1···11·1·1·1··1····11···11····11········11···111111····1··1···1·1· |
| out 100 (159) | 1····1··············1·····1···1····1·······11·····1····11111·····1111·1·111·111·····11111··11·11111·111·1···1···············1···1····1····1·········11······1111··1111111111··1·11·11···111111··1·11·1·11····1··1··1··············1····1····1····1·········11·······1··11111·······11111··1·11111····111·11·1·1·11111111····1············1···1····1···1·········11····1111····1111111111···111·1··1111111··1·11·111·1··· |
| out 101 (151) | 1···111·1··1····1·····1·1·1···1··1·1·1···1·111·1·111····1·1····1·1······11···1·1····1111··111··1··········1·1···1··1·1··1·1·1·····11···1·····1·11····1·1····11·1··1·1·1·1···1·1·1···1···111·1··1··11····1··1·11·1·111·1··1··1·······11·1····1··1·1·1·····1·111···1·111··1·1······1·1······1·1··1··1··111·1·11·1··1········1·1··1·1·1··1·11····1·1··1·····1·1·1···1·1··11·1····1·1·1·1·····111·····1111·1·1···11···1·1·1· |
| out 102 (167) | 1··1····1·1·1···11····1··11····1·1··1······1·1··1·1·1·11·111···11·111···1·1··1·1··1111··1··1··11·1··111···1·1···1····1···1··1·1·1·111·····1·1··111·11··11······1·11··1·11··11·1·1·111······1·1·11·1····1······1·11····1·1·1·11······1·11·····1·1··1········1·1····1·1·11·111·····11·111···1··1·1··11111···1·1···11·1·111··1·1··1···1···1·1·1·11·11····1·1··1·1111··11····1···11··1·11··1··111·11··1···1·11·1·1···1····1· |
| out 103 (151) | 1··1····1·1·1······1·1··1·····11·1·11···11··1·11·1······1·········111···1·1·1·11······11··11··11·1··1·1···1·1···1···1·1·1·1·····1·1111······1·1·····1··1····1·11·1·11·1·1·1·1·1·1·11····111··1·1··11···1········11····1·1·1······1·1·1······11·1·11···1··1··1·11·1·1····1···········111···1··11·1·1····1·1·11···11·1·1·1··1·1··1··1·1·1·1····11·111·····1·1·····1··1··1·11···1·11·1·1·1···111·11···111··11···11··1······ |
| check 104 (256) | 1··111111·111···11·1·11·11111··1·11111··11··1111111·1··1111······1111·11·11·111·····11111···1·11111·1·11·11····11··1111·111·1·1···1111·11···111111·11··11···1·11·11111111111··1·1·111···111111··1·1111·11····11·1111111·111·11···1·111111·1··1·11111··1··1··111··1111·11111········11111·1··11111····111·11···1·111111·1111···11·1111·1111·1··1·11111···1111·1111··11·1·11···11111111111···11·11··1111111··1·111111·1·1· |
| check 105 (152) | ················11·1·11·11111··1·11111·····11······11···········111·1·1·111·111····11·111··1·········1··············111·111·1·1···1111·11···11······11······11··········111·1·1·11·11···11111··11···1·········1·············11···1·111111·1··1·11111·······11········11···········111·11··1·11111···11·1·11·1·········1···········111·1111·1··1·11111···11······11····11············111···1111·1··111111·1·1···1······1· |
| check 106 (176) | 1··1·11·1·1·····1·111·1·111·1·1··1111····11····11········1·1···11·1····111··11·1··1·111·1·1····1··1·1····1··1··1···11···111·1···1·1·11·1··1··11·1····1·1····11·1··1·1··11·1·1·1···11····11·111·1··11·1·11·····1·11·11·1·1···1···111·1111··1·1··1111······11······11······1·1·····11·1····11·1·11··11·111··11·····1··11···1··1·1··11···1111···11··111··1··11··1···1·1··11·1····1·1··11·1···11··11···11·1111···11·111···1· |
| check 107 (256) | 111·1·1·1111·1111·11··11·1·1·11111···111·11·1·1111···11···111111····111·1··11111111111··11··111·1111····1111·111·111·111··11·111·1··111·11·11··1··11·11··111··1111·11···1·1··111··1·1111·1111111·11···11·11111·1·1·1·1·1··11·111··11·1·1·111··1·111·11111··1·1·11···111111··11111·1111··11·111···1·····111·111·1·1···1111··111·11·1··111·11·11111··1·111·11·111·1·111111··111·1··111·1·1111·11·111·1······111·111·11·111 |
| check 108 (200) | 1·1·1111··1·111··11···1···1···1···1·1··11··1···1·11111·111·11···1··11····11··1·1·1·1····1·1··111·1··1·1·1·1111111·1·1·1111···1··1····1··1111111·1111·····1·1···1·1·1·······11111111111·11·1··1···1·1···1·11·111····1·111111·111···1··1···1·1··1111111·11·1···1·1····1·1·1····1·11···11·1·1·11·111·····1·1····1···1111·······1·1··1111··111··1·1·1··11···1·11··111·11··1·111·1····1·1·1···1111·1··111111··1·1····1···1111 |
| check 109 (200) | 111·11·1·11·11·111······111···11··111·1·1··1·1111··111·1·1111···11··1·11··1·11··11···1111·111·1·11··1·1··1··11·····11··1·1··11·1··11··111·1···1··1·11·11··11·1···1111·1·1·1111·····1··11·11·1·11·111····11·11···1·1·11·11····1·11··111····111·1···1·1··1··1··1·1·1·1·1·11·111·11·1·1·1·11···1·1·1····1·1···1·111··1·111···1···111·1·1···111··111····11··111·111·········1··111··1··11·······11·111··1·11····11111·····11 |
| check 110 (200) | 1··11·1·1··111····11·1·111···1···1·1111·1··1··1·1·111·11·11··1···1·11·11·1···1··111·11·······11·1·11·1····1111··11111·1·1·····111·11··1····1··1···1··1···1111··1··1·11·1·1·1·1····1·1····11····111·1·11111······1··1··1·1····111·1·1···1····1111·1··1·1·111···1·11·1111·1·1··111····1··1·111·1·1·111·111111···11··1·11·1··11···11·1·11·11···1·1·1111···1111···1111··1·1···111·1···1··1·1111····11111··1··11·1·1·1···1111 |
| check 111 (208) | 1··1·1·1111··1····111··1······11111···1·1111·111·1111··1·11·11··11·1·11···1··1·1··1·11111··11··11·111·1···1···1··11·1·1·1··1·1·1··1111···1·1111····1··1111111···11····1··1·····11··11······1111··1·111··1·1111··11·1···1·11·····1··11111····11···1111·1··1111··11·1·1111·1·11111··11·1··11111··1··1·1···1···1·1····1··1···1··111111·1·1··111111·111·1111··1····1·11···1·······1111·1·1·····1·11·111···1··1111·111·11·111 |
| check 112 (200) | 1··1····1·1·1·111·1·1111111····1·1··1··11··11···1·11···1·11···1·11··11··11···1····111···1111·11··1·1······1·1···1···11·11··11111··111·····1·1·11··1···1··11111····1··1·111··1111·1··1····1·1·1··1·1·111111111·1·11····1·1·11·111·1···········1·1··1··1·1111··11111·111·1·11·····11··11·111·1·1·1···111····1··111·11·1111··1·1··1····11·11·1·111·11····1·1···111111111·11······1··1·1··1111··1·11111·1·1·1··1··1····111·1 |
| check 113 (200) | ···111111·······1·1·····11·1·11·1·11·1111111··1···11············111·1·11···1····11·11111·1·1·1·1···1·1·········11···111···1···1·11····11·1·11·1·1·111·1·1111·11·····1111···11·1·1····111··11·111111·1·1·1111111··111111·····1···1····11··111·111··1·11·11···11·1111111············111·11·1····111111····1·11·1111·1111·1······11··111···1··1·111111·1111·1·11·1··111···11·······1111···1··111·····111··1··1·1·1·11·1·1·1 |
| check 114 (208) | ·······11·111···111·1·····1···1··11·11··11··1·····111111111·1111····11·1·111····11·111··11··1111···1111········11··1111·11··1···1····1··1·1·111111·111··········1··11···1·1··1·11·11·11111···111·11···11·1111········11·111·11··1·1····1····1··11·11··1··1··1··············111111·1111·11·11··111111···111·111·1··111·········11·1111·11·1···1····1·1·1·1111·11111···1111111111··111·1·11111·1··111··111··111·111·111111 |
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}\cdot \mathrm{T}_{82}\cdot \mathrm{T}_{83}\cdot \mathrm{T}_{84}\cdot \mathrm{T}_{85}\cdot \mathrm{T}_{86}\cdot \mathrm{T}_{87}\cdot \mathrm{T}_{88}\cdot \mathrm{T}_{89}\cdot \mathrm{T}_{90}\cdot \mathrm{T}_{91}\cdot \mathrm{T}_{92}\cdot \mathrm{T}_{93}\cdot \mathrm{T}_{94}\cdot \mathrm{T}_{95}\cdot \mathrm{T}_{96}\cdot \mathrm{T}_{97}\cdot \mathrm{T}_{98}\cdot \mathrm{T}_{99}\cdot \mathrm{T}_{100}\cdot \mathrm{T}_{101}\cdot \mathrm{T}_{102}\cdot \mathrm{T}_{103}
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+82+83+84+85+86+87+88+89+90+91+92+93+94+95+96+97+98+99+100+101+102+103 (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 104 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 80 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.
All 104 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, \mathrm{S} on output 82, \mathrm{S} on output 83, \mathrm{S} on output 84, \mathrm{S} on output 85, \mathrm{S} on output 86, \mathrm{S} on output 87, \mathrm{S} on output 88, \mathrm{S} on output 89, \mathrm{S} on output 90, \mathrm{S} on output 91, \mathrm{S} on output 92, \mathrm{S} on output 93, \mathrm{S} on output 94, \mathrm{S} on output 95, \mathrm{S} on output 96, \mathrm{S} on output 97, \mathrm{S} on output 98, \mathrm{S} on output 99, \mathrm{S} on output 100, \mathrm{S} on output 101, \mathrm{S} on output 102, \mathrm{S} on output 103
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/408.104.3.a.json"
record = json.load(urllib.request.urlopen(url))
k = record["parameters"]["k"]
gates = equivalent_gates(k, record["gate"]["monomials"])
lines = sorted(name(g, k) for g in gates)
print(len(lines), "equivalent gates")
with open("equivalent-gates-408.104.3.a.txt", "w") as out:
out.write("\n".join(lines) + "\n")
Distance
d=3, exact. No fault of weight below 3 is both undetectable and damaging. One of weight 3 is.
Exactly 4,806 faults of weight 3 are undetectable and damaging, so A_{3}=4{,}806. If each rotation fails independently with probability p, an accepted run has a damaged output with probability A_{3}\,p^{3}+O(p^{4}).
A damaging fault of weight 3 sits on columns [0,2,197].
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/graph_408_104_3.json",
"label": "graph_408_104_3",
"N": 115,
"d": 3,
"d_is_exact": true,
"origin": "Wills parent + searched graph punctures",
"provenance": "gamma frontier release record graph_408_104_3 (source catalogue id graph_408_104_3); construction: Wills parent + searched graph punctures; matrix 6fccf2c4a01aefc9...; the release states d=3 (exact), gamma=1.2441844036897731 (exact)",
"notes": "matrix gamma_frontier_release/matrices/6fccf2c4a01aefc9b0665d3b7bee85350e0d0ca9b222eb786d32f999ece164bc.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/408.104.3.a.json"
record = json.load(urllib.request.urlopen(url))
columns = record["circuit"]["columns"]
k, N = record["parameters"]["k"], record["parameters"]["N"]
facts, problems = VC.derive(columns, k, N) # gate, T-count, degree, ...
distance = VC.measure_distance(columns, k, N) # exhaustive fault search
print(facts["gate_human"], distance["d_exact"] or distance["d_at_least"],
problems or "verified")
Raw record
Show the JSON this page is built from
Source: master_catalog.json, factories[1035].