The circuit
The 113\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 (157) | ····1····1··1·1·1··1··11·····11··1······11·1·11···1····11·11·1··1·1·111·1·1·11···1··1··1···11111·········1·1··1·111·1·······1··1·····1·1·11·1··1·11·······11·111·1·1·11····1·········1·····1··1···1111··1·1··1·111···1·1···1·1·1··1·1·1··11···1····1·1·1·1·11··1·····11·1·1·1···1·11·1·11··1·1·1··1·1·1····11111·····1·1··1·111·1···1···1···1·1·111··11·1·······111111·1·1·······1··········1·······1···1·111·111·1·1··1 |
| out 1 (151) | ·1···1····1·1··11··1··1·····1111··1··1·····1··1········11·11·11··11··1··1·1··1··1···1··1··111·11······1····1··1··111·1·······1··1···11···1··1··1··1··11·1··1··11··11···111·1··1·1·1···1·1···1··1····1···1·····11·1·1··1··1·1··11··1·1···111·1··1··1······1··1········11·1·1·11···11··11·1··1···1·1··1·1···111·11····1··1··1··111·1···1···1·11···1·1··1··1·11·1···1·11·11····11··11·····1·11··1···1····1··1··1··1···11··1 |
| out 2 (159) | ·1··1·······1··1······11···1·····111·1···1··11··1····1···111111·······1·1·1·········11·1·1·········1111···1··1·1111111···1····111·1·11·1·····1·1·11··11···11·111····1···1··1····1·1·111······111··1·11······111··1·1·1·····1··1·····1·11······11·11·11····11·1······1··11·1111·········11··1········111··1·······1111·1·1··11111111····111111·1····1·11·1·11····11111···1····1···1·······11111·········1111·1·1··111···1 |
| out 3 (159) | ·1··11······1··1···1··1····11111··1··1···1·1··1··11····11··1·11··11··1··1·11·11·1···1·····111·11···1··1····1·11··1···1····1··1··1···11·1·1··1··1··1··1··1··1·1·1··11····11·1··1···1···111·1·1··1···11···1·····1··1·1·11·1··1··1···1·1··1111·1··1··1··1···1··1·11·····11···1·11···11··1··1··11··111··1·····111·11·1··1··11·1··1···1·1·1···1·11·1·1·1··1··1·1··1···11·1·11·····1··11·····1··1··1·1·1·1··1··1·11··1···1···1 |
| out 4 (143) | ·········11·1···1·····11·········1·1·1···1··111·111··1···111111·······1·1·1···1·····11··············111········11·1·11····1···111·1·11·······1·1·11···1····1···1····1···1··1····1·1·111···1··111··111·······1111·1·····1·1·1···1····1·1·······1··11··1····111111····1··11·1111·········11··1····1···11············111······11·1·11·1···111111······1111·1··1·····1··1···1····1···1·······11111·····1···111111····1111··1 |
| out 5 (63) | ·1··1·····1·····1··········1··················1··11··········1······1······1·11··········1····1·1·········1··1·····1······1············1··················1··11··········1·············1·11··········1····1·1······1·1···1·····1·······1····················1·11············1······1········1··11········1····1·1·····1·1······1···1··········1·················1·11············1·····1········1··11··········1·11······ |
| out 6 (159) | ·····1····1·1··1···1··1····11111··1··1···1·1··1··11····11··1·11··11··1··1·1·····11··1····1111··1····1·1···11··1··111·1····1··1··1···11·1·1··1··1··1··1··1··1·1·1··11····11·1··1···1···1·11·····1···111··1·1···11·1····1··1·1··1···1·1··1111·1··1··1··1···1··1·11·····11···1·11···11··1··1··1·····11·1····1111··1··1·1·11··1··111·1·1·1···1·11·1·1·1··1··1·1··1···11·1·11·····1··11·····1··1··1···11······1·11·111··111·1 |
| out 7 (151) | ····11···11········1···1····1111·1·1·······111··111····1111······11··11·········11···1·1··11···1···111····11·11111··1····11··111··1······1··11···1···11·1·····1···11·····1····1·1···11··11···11···11······1·11·1·····111·1········1···1·111·1·1··1·······111·111·····1111········11··1·1·········11··11···11···1·111··111·1111··1·11·1·11·1·····1·11··1···11·1·····1··11·······11······1·1·11····11····11·11····111·1··· |
| out 8 (151) | ·····1···11·1······1··1·····1111··1··1···1·1···········11··1·11··11·····1·11·1··1···1····1111··1······1···11··1···11·1···11··1··1···11···1··1··1··1··1··1·11··11··11····11····11··1···111···1··1···111··1·1···11·1····11·1·1······1·1···111·1··1··1··1···1···········11···1·111··11·····1··11··1·1··1····1111··1····1·11··1···11·111·1···1·11···1·1··1··1·1··1··11·11·11·····1··1······11·1··1·1·1····1··1·11·111··11··1 |
| out 9 (47) | ·1··1·········································1··1···········1·············1·11··1·······1····1···········1··1············································1··1··········11·············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·······1·1······· |
| out 10 (71) | ·1··1····11····11··········1··1···············1·111························1··1··········1····1·1··1······1··1···1·1·····11············1·1················1·111························1··1··········1····1·1··1···1·1·1·1····11·······1··1·················1111····························1···1········1····1·11····1·1····1·1··11··········1·1···············1·11···························1···1··········1·11··1··· |
| out 11 (165) | ····11···1··1·1·1·····1····11··1···1····11··1···11·······1·111··11··11··1·111·1·11··11·1·11··1······1····11····1·111·····11·11····1··1····1··1·1··1··11·1··1·1·1·11··11··1·1··111···1··11·1111·····11·····1·1··1·1···111···1·1·1···11··11···1····1·1·1·1··1··11········1··111···11·1·1··1··111··111·111··11··1····1··11····1·111··1111····1·1····1·1·1··1·11·1···11·111··1······11·····111·1···1·1·11·11···11···11··1··1 |
| out 12 (149) | ·1··········1·1····1··11·····1···1······11·1·1····1····11·11····1···111·1·111·······1··1·1·111·1·····1···111·11·1·1·1·····1·1··1·····1·1··1·1··1·11········1·111·1·1·11··1·1·········1·1·1·11·1···111···1····1·1·1·1·······1·1····1·1·1··1····1····1·1·1·1·1···1·····11·1·1·····1··1·1·11··111······1·1··1·111·1···1·1111·1·1·1·1··11···1···1·1··11··11·1········11111·1·1······11··1·······1··1··1·1·1·1·111··1··1·1··1 |
| out 13 (159) | ·1···1······1··11··1··11···11111··1··1···1·1··1··11····11··1·11··11··1··1·1··11·1···1··1··111··11··1··1····1··1··11··1·······1··1··111·1·1··1··1··1··1··1··1·1·1··11····11·1··1···1···1·1·1·1··1····1···1·1·1·1··1·1··1····1··11··1·1·11111·1··1··1··1···1··1·11·····11···1·11···11··1··1··1···111··1·1···111··111··1··1··1··11··1···1···1·11·1·1·1··1··1·1··1···11·1·11·····1··11·····1··1··1···1·1··1··1··1··111·1···1 |
| out 14 (149) | ····1····11···1·1··1·········11···11·1··11·11···11·····111··1·1·1·1·11···1··11···1···1·1···11111····1·1··1·1··11·····1······1·1·1·1·1··1·11·11············1··11··1·1·11·1·······1·1·111····1·1·1·····1··1·1·1·1······1·1·1···1·1··1······11····1·111·1·1·11··11······111···1·1··1·11·1·······1·1··1··11····11111··1·11·1··11·····1··1··1·111··1·1111············1·11·1·1·1···1···········11111······1··1·1····1111·1···· |
| out 15 (167) | ·····1······1······1··1····111·1··1··1···1·1·····11····11·11·11··11·····1·11111·1···1····1111··11··1··1···11··1··11··1···11··1··1···11·1····1··1··1··1··1·11·1·1··11···111·1··11··1···111·1·1··1···111··1·1·1·1··1····1····1······1·1··111··1··1··1··1···1····11·····11·1·1·11···11·····1··111·111··1····1111··111··1·11··1··11··111·1···1·11·1···1··1··1·1··1··111·1·11····11··11·····11·1··1·111·1··1··1·11·1111·1···1 |
| out 16 (63) | ·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··············1······1······1··1········1············1······1··1······1··1··1·1·······1·1····1·····1·······················1····1··1········1···········1······1··1········1··111······· |
| out 17 (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 18 (149) | ·1··1·········1····1·········1····11·1··1··11···11·····111··11111·1·1·······111······1·····1·1·11···1·1··111··11·1·1·1····1·1·1·1·1·1··1··1·11········1···1··11··1·1·11·11··1··11·1·1·1···1111·1···1·1········1····1·1·······1····1······1·····1·111···1·11··11······111···111·11·11·········1·11····1·····1·1·11·1·1111··11·1·1·1·11··1·111··1··111·······1····1·11·1·1·1···1··1·······1111·1·····11·11·1·1··1····1···· |
| out 19 (159) | ·····1····1·1··1···1··1····11111··1··1···1·1··1··11····11··1·11··11··1··1·1··11·111·1··1··111·11···1··1···11··1··111·1····1··1··1···11·1·1··1··1··1··1··1··1·1·1··11····11·1··1···1···1·1·1···11····1···1·····1··1····1··1·1··1···1·1··1111·1··1··1··1···1··1·11·····11···1·11···11··1··1··1···1111·1·1···111·11·1··1·11··1··111·1·1·1···1·11·1·1·1··1··1·1··1···11·1·11·····1··11·····1··1··1···1·1····11··1··1···1···1 |
| out 20 (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 21 (157) | ·····1···1····111······1···11·11·11·11··1····1···1···1····1··11·11··1·1····11·1·1········11·11··1··1·11··11··1··1···11····1·11·11···1····11··········1··1·1···1··11·111·1·····1···1··1111·11··11··11····1·1·1111······11·····111······111·1·1·11··11···1···1··1·····1···1···11··11·1···1····11··11·······11·11··11·1111·1···1···11·111··11·1····11········1··1··1··1·11·11···1·········1··1·11·1·1·11···1111···111111··· |
| out 22 (167) | ·····1····1·1··1···1··1····11111··1··1···1·1··1··11····11··1·11··11··1··1·11·11·1···1····1111··11··1··11··11··1··111·1····1··1··1···11·1·1··1··1··1··1··1··1·1·1··11····11·1··1···1···111·1·1··1···111··1·1·1·1·······1··1·1··1···1·1··1111·1··1··1··1···1··1·11·····11···1·11···11··1··1··11··111··1····1111··111··1·11··1··111·1·1·1···1·11·1·1·1··1··1·1··1···11·1·11·····1··11·····1··1··1·1·1·1··1··1·11·1111·1···· |
| out 23 (151) | ·1···1·············1···1···111·1·1·1·······1111·11·····1111·11···11··11····1·11·11···1·1·111··111···11·····1··111··11····11··111··1····1····11···1···11·1·1·······11··········1·1···11·1··1··11···11·1·······1·····1··1···········1···1111··1·1··1·······111111······1111··11····11··1·1····1·11111··11··111··111·11···1··111··11·11·1·11·1···1···11··1···11·1··1·····11···············1·1·11··1···1···11·11··1···1····· |
| out 24 (31) | ·············································11··11························1·11··1········································································1··11························1·11·1······························································11·11····························1··11·1····························································11·11···························1··11··1················· |
| out 25 (143) | ·1···1···1··1···1··1··1··1·111·1··1··1···1·1··1··1·····11··1··1··11·····1·1···1·1···1··1··11··111·····1····1··1···1··1···1···1··1···1··1····1··1··1··1··1··1·111··11····1··1··11··1···1·111·1··1····1·······1·11·1·1··11···1···1··1·1··111··1··1··1··1···1··1·1······11···1··1···11·····1··1····11··1·1···11··111···1··1··1···1··11··1···1·1··1···1··1··1·1··1···1111·11·····1···1·····11·1··1···111··1··1··1····1·11··1 |
| out 26 (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 27 (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·······1·1··········1····························1··1········1···1··············1··1···········1·1······· |
| out 28 (149) | ··1·1·······1·1·1··1··11·····11··1······1··1·1····1··1·11·11····1·1·111·1·1·11···1··1··1···1·111·····1···1····1·1·1·1·······1··1·····1·1·11·1··1·11···1····1·111·1·1111··1·1·········1·····1··1···1111····1··1·1·1···1·····1·1·1··1·1·1··11···1····1···1·1·1···1····111·1·1·····1·11·1·11··1·1·1··1·1·1····1·111···1·1····1·1·1·1···1···1···1·1·111··11·1··1·····11111·111······11··········1·······1···1·111·1·1·1·1··1 |
| out 29 (151) | ·····1····1·1··1···1··1·····1111··1··1·····1···········11··1·11··11··1··1·11·1··1···1··1·1111·11······1···11··1··111·1····1··1··1···11···1··1·····1··11·1·11··11··11····11·1··1···1···111···1··1····11··1·····11·1····1··1·1··1···1·1···111·1··11·1······1···········11···1·11···11··1··1··11··1·1··1·1··1111·11····1·11··1··111·1·1·1···1·11···1·1·····1·11·1··11·11·11·····1··11·····1··1··1·1·1····1··1··1·11···11··1 |
| out 30 (149) | ·1··1····1····1····1·········1····11·1··1··11·1·1······111··111·1·1·11·····1111··1···1·····1·1·11···1·1··111··11···111····1·1·1·1·1·1··1··1·11········1·······1··1·1·11·11······1·1·1·11··11·1·1···1·1········1····1·1·1··1··1····1······1·····1·111···1·11·11·······111···111··1·11·1······11·11·1··1·····1·1·11·1·1111··11···111·11··1·111··1··111·······1·······1·1·1·1···1··1········111·1·1···11··1·1·1··1····1···· |
| out 31 (149) | ·1··11····1·1·1···1···1····11·11···1····11··1···111······1·11···11··1···1·111···1···11···11·11··1··11····1·····1··1······1···11···1··1···11··1·1··1··11·1··1·111·11··11····1··1·1···1··11··1·1······1···1·1······1·1·11··1·1·1······1··11·1·1····1·1·1·1··1··111·······1··11····11·1····1··111···1··11···11·11··111··1·····1··1···1··1·1··1·1···11·1·1··1·11·1···111111··1·······1·····1·1·1···1·1··1··1····1··11······1 |
| out 32 (151) | ·1··11······1··11··1··1·····1111··1··1···1·1·········1·11··1·11··11··1··1·1·····11··1··1··111··1···1··1····1·11··11··1·······1··1···11···1··1··1··1··1··1·11··11··111···11·1··1···1·1·1·11·····1····1···1·1···1··1·1·11····1··11··1·1···111·1··1··1··1···1··········111···1·11···11··1··11·1·····11·1·1···111··1·1··1··11·1··11··1···1···1·11···1·1··1··1·1··1··11·11·111····1··11·····1··11·1···11······1··1··11··1···1 |
| out 33 (151) | ·····1····1·1··1···1··1·····111···1··1···1·1······1····11··1·11··11··1··1·11····1···1····1111··1···1··1···11··1··111·1····1··1··1···11···1·11··1··1··1··1·11···1··11····11·1··1···1···1111··1··1···111··1·1···1··1····1··1·1··1···1·1···111····1··1··1···1·····1·····11···1·11···11··1··1··11····1··1····1111··1·1··1·11··1··111·1·1·1···1·11···1·1··1··1·1··1··11··1·11·····1··11·····1··1··1·1·11···1··1·11·111··1···1 |
| out 34 (47) | ··········1····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···········1·1········1·········1············1··········1···········1·1·1··············1··1···········1············1······1·········1···········1··········1···········111······ |
| out 35 (71) | ·1········1····11··········1··1··········1····1··11·1········1·············1··1··········1··1·1·1·········1········1·····11············1·1············1···1··11···1······1·············1··1··········1··1·1·1······1·····1····11·······1··1··········1······1·11············1···············1···1········1··1·1·1·····1········1··11··········1·1··········1····1·11··1·········1··············1···1··········1111······ |
| out 36 (165) | ·1·······1··1·11···1··11···1·1···1······11·1·11··1·····11·1·····1·1·111·1·11111··1··1··1·1·111·11····1···111·11·111·1····11·1··1·····1····1·1··1·11·······11···1·1·1·11··1·1·········1·1··11··1···111···1···11·1·1·1···1···1·11···1·1·11·1····1····1·1·1·1·11·1······11·1·······1·11·1·11··111·11·1·1·1··1·111·11··1·1111·1·111·1·111···1···1····11··11·1·······11··11·1·1····1·11··········1··1···11···1·111··1·11·1··1 |
| out 37 (149) | ····11···1····1·1······1····1··1·11··1··1···111···············1·11··111····11···11·····1·11··11····1·11··11·····1···11···11·11·11···1··1··1······1···1··11···11··11··11111····11··1··1111··11·11··1··········111·····111·····1·1······1·1···1·11··11···1··111················1··11·1·1·1····11···11···1··11··11··1·1111·····1···111111··11·1··1··1····1···1··1····11·11··1··11··1······11·1·11·1·1··1·1·111·······111··· |
| out 38 (157) | ·1·······1·11·1····1··11·····1···1······11·1·11········11·11····1·1·1·1·1·1111···1··1··1·1·111·1·····1···111·11·111·11····1·1··1·····1·1··1·1··1·11·······11·1·1·1·1·11··1·1···1·····1·1···1··1···111···1····1·1·1·1···1···1·1····1·1·1··1····1····1·1·1·1·11········11·1·1·····1·11···11··111·1··1·1·1··1·111·1···1·1111·1·111·11·11···1···1·1··11··11·1·······111·11·1·1······11······1···1··1····1···1·111··1··1·1··1 |
| out 39 (47) | ····1·····1······························1····1······1·······1················1··1····11·1······1············1·····1··································1···1·········1····1················1·1·····11·1······1········1···1···························1······1·······1·······1···················1·1···1··1······1·······1······1···························1····1·······1·······1··················1··1···11··1··1······ |
| out 40 (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·······1·1····1·····1············1···············1···········1···········1······1··············1·1·1····· |
| out 41 (165) | ·1··11···1··1·1·1·····1····11·11···1····11··1···111······1·11···11··1···1·111·1·11···1·1··1··1······1····1·····1·111·····11·111···1··1···11··1·1··1··11·1··1·111·11··11····1··1·1···1··11·1111··1··111····1·1··1·1·1·111···1·1·1····1··11·1·1····1·1·1·1··1··111·······1··11····11·1····1··111··111··11···1··1····1··1·····1·111··1111·1··1·1···11·1·1··1·11·1···111111··1·······1·····1·1·1···1·1·11·11···11·1·11··1··1 |
| out 42 (31) | ···························11····················11···························1··1··············1··1···································1·····················11···························1·1···············1··1·······················11·····················11································1·1·············11····························11··················11·······························1··1··········1··1··· |
| out 43 (159) | ·1··11····1·1··1···1··1····11111··1··1···1·1······1··1·11··1·11··11··1··1·1·····11··1····1111··1···1··1····1·11··111·1····1··1··1···11·1·1··1··1··1··1··1·11···1··1·1···11·1··1···1···1·11·····1···111··1·1···1··1·1·11··1·1··1···1·1··1111·1··1··1··1···1·····1···1111···1·11···11··1··1··1·····11·1····1111··1·1··1··11·1··111·1·1·1···1·11·1·1·1··1··1·1··1··11··1·1·1····1··11·····1··1··1···11······1·11·111··1···1 |
| out 44 (55) | ·1··11····1······························1········1··1····1················1·11··1············1····1······1··1·····1··································1·······1·····1··1···············1·11·1·············1····1···1·11··1···························1·········1····1···1···················1··11·1···········1··1····1·11·····1···························1·······1····1···1··················1··11··1·········1···1··· |
| out 45 (163) | ·1··1·····1·1·11···1··11···1·1···1······11·1·11···1··1·11·11·1··1·1·111·1·1·1·······1··1·1·111·1···1·1··1111··1·1·111····11·1··1·····1····1·1··1·11·······11·111···1111····1·········1···1·11·1···111···1····1···111·1···1·1·11···1·1·11·1····1····1·1·1·1·11··1··1·111·1·1·1···1·11·1·11··1·1······1·1··1·111·1·1·1·111··1·1·111·111···1···1····11··11·1·······11111··111·······1··········1·····1·1·1·1·111··1··1····1 |
| out 46 (167) | ····11······1··1···1··1····11111··1··1·····1·····11··1·11··1··1··11··1··1·11··1·11·11··1·1111·111··1··1···11·11··11··1····1··1··1···11·1·1··1··1··1··11·1·11·1·1··111···1··1··1···1···11111·········11··1···1·1··1···11····1··1···1·1··1111·1··1··1······1····11····111···1··1···11··1··1··11···111·1·1··1111·1111··1·111·1··11··1·1·1···1·11·1·1·1··1··1·11·1··111·1·111····1···1·····1··1··1·1·111········1·11·1·1···1 |
| out 47 (159) | ·1··········1·········11······1·1111·1···1··111·11·······1·11·1······11·1·1······1··11·1····1·1·1···111···1····1111111········111·1·11···1··11·1·11···1····1··11·······111·1···11·1·111·····1111··1·1···1·1··111·1·1·······1········1·1···1···11·11··1····11111········1··11·1·······1·11··1······1·111·····1·1·1·111·1····1111111·····111111···1·11·11·1··1·····1·11·······11··11······111111········11111·1··11·111··1 |
| out 48 (55) | ····1·····1····························1······1··11··1·······1·············1·11··1·······1······1············1·····1·······························1······1··11·····1····1·············1·11·1········1······1········1···1··································1·11····1·······1···············1··11·1······1······1·······1······1·························1······1·11····1·······1··············1··11··1·······1··1······ |
| out 49 (151) | ·····1······1··11··1··1·····1111··1··1···1·1··1··1·····11··1··1···1··1··1·1··11·1···1····1111··11··1··1···11··1··11··1·······1··1···11···1··1··1··1··1··1··1·111··11····1··1··1···1···1·1·1·1··1···111··1·1·1·1··1····1····1··11··1·1···111·1··1··1··1···1··1·1······11···1··1····1··1··1··1···111··1····1111··111··1·11··1··11··1···1···1·11···1·1··1··1·1··1···1111·11·····1···1·1···1··1··1···1·1··1··1·11·1111·1···1 |
| out 50 (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 51 (151) | ·····1······1··11··1··1·····1111··1··1···1·1··1··1···1·11··1·11··11··1····1··11·11··1··1··111··1···1··1···11··1··11··1·······1··1···11···1··1··1··1··1··1··1·111··111···11·1··1···11··1·1·1····1····1···1·1···1··1····1····1··11··1·1···111·1··1··1··1···1··1·1·····111···1·11···11··1·····1···1111·1·1···111··1·1··1·11··1··11··1···1···1·11···1·1··1··1·1··1···1111·111····1··11·····1··1··1···1·1·····1··1··11··1···1 |
| out 52 (159) | ·····1····1·1··1···1··1····11111··1··1····11······1····11··1·11··11··1··1·11·11·1···1·····111·11···1··1···11··1··111·1····1··1··1···11·1·1··1··1··1··11·1·11···1··11····11·1··1···1···111·1·1··1···11···1·····1··1····1··1·1··1···1·1··1111·1··1··1···1··1·····1·····11···1·11···11··1··1··11··111··1·····111·11·1··1·11··1··111·1·1·1···1·11·1·1·1··1··1·1111··11··1·11·····1··11·····1··1··1·1·1·1··1··1·11··1···1···1 |
| out 53 (157) | ··········1···11···1·········11···11·1··1··11···1······1111·111·1·1·1·······111·1····1···1·1·111····1·1··1·1·111·1···1···11·1·1·1·1·1··1·11·11········1···1···1··1·1·11111·····11·1·1·1···1111·1···1······1·1·1··········1···11···1······11····1·111···1·11··1·······1111··111··1·11·········1·111···1···1·1·111··1·11·11·11·1···1111··1·111··1·1111·······1····1··1·1·1·1··11··1·······1111·1·····11111·1·1····11·1···· |
| out 54 (157) | ·1··········1·1····1··11··1··11··1······11·1·11········11··1·1··1·1·1·1·1·111·······1··1·1·111·1·····1···111·11·1·1·1·····1·1··1·····111·11·1··1·11·······11·1·1·1·1·111···1···1·····1·1·1·11·1···111···1····1·1·1·1·······1·1····1·1·1··11···1····1·1·1·1·11········11···1·1···1·11···11··111······1·1··1·111·1···1·1111·1·1·1·1··11···1···111·111··11·1·······111·11·1·1··1····1······1···1··1··1·1·1·1·111··1··1·1··1 |
| out 55 (165) | ·1··11········11·······1···11·11·11··1··11···1···1···1·······11·11··111·····1·1·11·····11·1·111·1··1·11··1······11··11······11·11···1····11······1···11·1·1···1··11·11111·····11··1··11·1·111·11··1··1··1···1111···1·11······11·······111·1·1·11··11·1·1···1··1·····1·······11··11·1·1·1·····1··111···1·1·1·111·11·111······11··11··11··11·1····11····1···11·1··1··1·11·11··11·········11·1·11···1·11·1·111··111·1111··· |
| out 56 (63) | ·1··1·····1·1·································1···1·······1··1·············1·11··1·······1····1·1··1······1··1·····1··1···································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····1·1······1································1··1········1···1··············1··11··1·······1·11··1··· |
| out 57 (159) | ····1···11··1·········11·········111·1···1··11··1········111111······11·1·11·1···1··11·1·1··1···1···111······1·1··1111········111·1·11·······1·1·11···1···11·111········1··1···11·1·1111·1··1111··1·11··1····111·1···1·1···1········1·1·······11·11··1····11·1·········11·1111·······1·11··11··1··1·111··1··1···1·111···1··1··1111·····111111······1·11·1··1····11111········1···1······111111·1··1···11111·1·11··111··1 |
| out 58 (55) | ·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··1··1···1··1····1·······1·1··········1····1··················1·······1····1···1··················1··1···1····1··1·1······· |
| out 59 (165) | ·1··11···11·1·111·····1····11·11···1·1··1···1···1········1111···11··11··1·111·1·11··11·1··1··11·1··11····1·····1·11·······1·111···1··1···11··1·1··1··1··1··1···1·11··111···1··111···1··11·1111·····111···········1·1·111·1·1·111····1··11·1·1····111···1··1··1·········11·11····11·1·1··1··111··111·111···1··11·111··1·····1·11····111·1··1·1···11·1·1·11·1··1···1··111··1··1····1·····111·1···1·1·11·11···11·1········1 |
| out 60 (151) | ·1··11······1··11··1··1·····1111··1··1···1·1···········11·11·11·111··1··1·1··1··11··1·····111·11······1····1·11··11··1·······1··1···11···1··1··1··1··1··1·11··11··11···111·1··1···1···1·1······1···11···1·····11·1·1·11····1··11··1·1···111·1··1··1··1···1···········11·1·1·11··111··1··1··1···1·11·1·····111·11····1··11·1··11··1···1···1·11···1·1··1··1·1··1··11·11·11····11··111····1··1··1···1·······1·11··1···11··1 |
| out 61 (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 62 (151) | ·1···1···11····11··1···1···111·1·1·1·······111··1····1·1111·1····11········1·1··1····1····111··11··111·····1··1111··1········111··1····1····11···1···11·1····1····111····1····1111··11·11···111···1·····1·1··1·1···1··11·1····11··1···1111··1·1··1·······111·1······11111··1·····11·········1··1·1···1····111··11111···1··1111··1····1·11·1···1···11··1···11·1····1···111·······1······111·11··1·1····111·1····11·1·1··· |
| out 63 (159) | ····11······1··1···1··1·····1111··1··1···1·1··1··11··1·11··1··1··11··1··1·11·11·11··1··1··111·11···1··1···11·11··11··1····1··1··1···11···1··11·1··1··1··1··1·1·1··111···1··1··1···1···111·1····1····1···1·····1··1···11····1··1···1·1···111·11·1··1··1···1··1·11····111···1··1···11··1··1··11··1111·1·1···111·11·1··1·111·1··11··1·1·1···1·11···1·11·1··1·1··1···11·1·111····1···1·····1··1··1·1·1·1·····1··1··1···1···1 |
| out 64 (151) | ·····1····1·1··1···1··1·····1111··11·1·····1··1··1·····11··1·11··11··1··1·1··1··11··1··1··111··1······1···11··1··111·1····1··1··1···11···1··1··11·1··11·1··1·111··11····11·1··1···1···1·1······1····1···1·1···11·1····1··1·1··1···1·1···111·1··1·11······1··1·1······11···1·11···11··1··1··1···1·11·1·1···111··1····1·11··1··111·1·1·1···1·11···1·1··1··1·11·1···1111·11·····1··11·····1··1··1···1·······1··1··11··11··1 |
| out 65 (173) | ·····1···11···1·1······1···11·11·11··1··11···1···1···1·······11·11··111····11·1·1········11·111·1··1·11··11··1··1··111···11·11·11···1····11······1···11·1·1···1··11·11111·····11··1··1111·11·111··11····1···1111······11·1···1·1······111·1·1·11··11·1·1···1··1·····1·······11··11·1·1·1····11··11·1·····11·111·11·1111·1···1··1111111··11·1····11····1···11·1··1··1·11·11··11·········11·1·11·1·1·11··11111···1·1111··· |
| out 66 (55) | ····1·····1······························1····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··1······1······1···························1····1·······1·······1··············1··11··1·······1·1···1··· |
| out 67 (149) | ·1··1····1····1·1··1·········11···11·1··1··11···1······1111·111·1·1·1·······111··1···1·····1·1·11···1····111··11···1·1······1·1·1·1·1··1·11·11········1···1···1··1·1·11111·····11·1·1·1···11·1·1···1·1········1····1·1·1·····1·1··1······11····1·111···1·11··1·······1111··111··1·11·········1·11·1··1·····1·1·11·1··111··11···1·1··1··1·111··1·1111·······1····1··1·1·1·1··11··1·······1111·1·····11··1·1·1··1····1··1· |
| out 68 (159) | ·1··11···1··1···1··1··1····11111··1··1···1·1··1··11····11··1·11··11··1··1·1···1·1···11·1··11···11·····1····1·11···1··1···1···1··1···11·1·1··1··1··1··1··1··1·1·1··11····11·1··1···1···1·111·1··1·1··1·····1·1·11·1·1·111···1···1··1·1··1111·1··1··1··1···1··1·11·····11···1·11···11··1··1··1····11··111···11···11···1··11·1···1··11··1···1·11·1·1·1··1··1·1··1···11·1·11·····1··11·····1··1··1···111··1··1··1···11·11··1 |
| out 69 (149) | ·1··1····1····11···1·······1·1····11·1··1··11·1·1·1····11···111·1·1·1······111···1···1·····1·1·11··11·1··111··11···1·1···11·1·1·1·1·1·····1·11········1··········1·1·11·11·····11·1·1·11···1·1·1···1·1········11···1·1·1·····11···1····1·1·····1·111···1·11·11·1·····11····111··1·11········11·1··1··1·····1·1·1111·1111··11···1·1111··1·111·····111·······1·········1·1·1·1·1··1·······1111·1·1····1··1·1·1··1····11··· |
| out 70 (151) | ····11······1··1···1··1·····1111··1··11··1·1······1··1·11··1··1··11··1··1·11····11··1··1·1111··1···1··1···11·11··11··1····1··1··1···11···1··1··1·····1··1·11···1··111···1··1··1···1···1111·····1····11··1·1···1··1···11····1··1···1·1···111·1··1··1··1···1·····1····111···1··1···11··1··1··11····11·1·1··1111··1·1··1·111·1··11··1·1·1···1·11···1·1··1····1··1··11··1·111····1···1·····1··1··1·1·11······1··1·111··1···1 |
| out 71 (157) | ····1····1··1·1·1··1··11·····11··1······11·1·11···1··1·11·11····1·1·1·1·1·1·11······1······1·111·····1···1·1··1·111·1·······1··1·····1·1·11·1··1·11·······11·111·1·1111··1·1···1·····11····11·1···1·11····1··1·1·1···1·1···1·1·1··1·1·1··11···1····1·1·1·1·11··1····111·1·1·····1·11···11·11·1·1····1······1·111···1·1·1··1·111·1···1···1···1·1·111··11·1·······111111·111······11······1···11······1·1·1·1·1·1·1·1·1··1 |
| out 72 (149) | ····1·····1···111··1·······1·11···11·1··11·11·1·1·1···1111··1·1·1·1·11·····11·1······1·····111·1····1·1··1·1··11·1···1···1··1·1·1·1·1····11·11···················1·1··1·1·······1·1·1·11·11111·1···1·1··1···1·1······1···1···111··1····1·11····1·111·1·1·11·11·1·····111···1·1··1·11·1······11··1····1·····111·1··1·11·1··11·1···11·1··1·111····1111·················1·1·····1···········111·1·1··111·11·1·1··11·1·1···· |
| out 73 (165) | ·1········1·1·11···1··11·····11··1······11·1·11···1····11·11·1··1·1·111·1·111··1····1··1·1·111·1···1·1···111·11·1·111····11·1··1·····1·1·11·1··1·11·······11·111·1·1·11····1·········1·1·1··1·1···111···1····1···1·1·····1·1·11···1·1·1··11···1····1·1·1·1·11··1·····11·1·1·1···1·11·1·11··111······1·1··1·111·1·1·1·1111·1·1·111·111···1···1·1·111··11·1·······111111·1·1·······1··········1··1··1···1·1·111··1··1····1 |
| out 74 (149) | ·1···1····1···1········1···11·11·11··1··1····1···11·······1··11·11··111·····111·1······1··1··1··1····11··1···1··11·111···1··1··11···1····11······1···1··1·1······11··11·1·····11··1··11·1111··11··1··1····1·111····1··1··1···1···1····111·1·1·11··11···1···1··11········1···11··11·1·1·1·····1·111····1···1··1··1··111··1···11·1111·1···11·1····11····1···1··1··1····11··1···1·········11·1·11···1111···111···1·1111···· |
| out 75 (159) | ····1·······1·11······11·········111·1···1··11··1········111111······11·1·1······1··11·1·1··1······1111······1·1111111··11····111·1·11·······1·1·11···1···11·111········1··1···11·1·111·····1111··1·11··1···111··1···1·····1·11·····1·1·······11·11··1····11·1·········11·1111·······1·11··1······1·111··1··1····1111···1··11111111····111111······1·11·1··1····11111········1···1······111111········11111·1·11·111···1 |
| out 76 (175) | ····1····11·1··11·····11···1··1··111·1···1··11··1·1······1·11·1······11·1·1··11··1··11·1·1··1···1···111······1·11·1·11···11···111·1·11·1·1···1·1·11···1···11·1·········111·1···11·1·111··11·1111··1·11··1····111·1···1·1·1·1··11····1·11··1···11·11··1····11·1·11······1··11·1·······1·11··1···11·1·111··1··1···1·111···1··11·1·1111···111111·1·1··1·11·1··1····111·········11··11······111111····11··11111·1·11··111··1 |
| out 77 (143) | ·1···1···1··1··11··1··1····111·1··1··1·····1··1··11····11··1··1··11··1·11·1···1·1···1··1··11···11··1··1····1··1···1··1·······1··1···11·1····1··1··1··11·1··1·1·1··11····1··1··1·······1·111·1··1····1·····1·1·1··1·1··11···1··11··1·1··111··1··1··1······1··1·11·····11···1··1···11··1··1··1····11··1·1···11···111··1··1··1···1··1···1···1·11·1···1··1··1·11·1···11·1·11·····1···1·····1·····1···111··1··1··1···11·1···1 |
| out 78 (29) | ·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 79 (151) | ····1·······1·········11·········111·1···1··11··111······111111····1··1·1·1······1··11·1·1··1···1···111······1·1111111········111·1·11·······1·1·11···1···11···1········1··1·1··1·1·111·····1111··1·11··1····111·1···1·····1········1·1·······11·11··1····11·111·······11·1111·········11··1······1·111··1··1···1·111···1··1111111·····111111······1·11·1··1····11··1········1···1···1···11111········11111·1·11··111··1 |
| out 80 (149) | ··············1····1··········1···11·1··1··11···11·····111··111·1·1·11······111······1···1·1·1111···1·1··1·1·111·1·1·1····1·1·1·1·1·1··1111·11········1···1··11··1·1·11·11······1·1·1·1···1111·1···1······1···1··············1····1·······1····1·111···1·11··11······111···111··1·11·1·······1·11····1···1·1·1111·1·11·11·11·1·1·1·11··1·111··1·1111·······1····1·11·1·1·1···1··1········111·1·····11·11·1·1····1··1···· |
| out 81 (159) | ·····1····1·1··11··1··1·1··11111··1··1·····1··1··1···1·11·11·11··11··1··1·1··1··11··1··1··111·11···1··1···11··1··111·1·······1··1····1·1·1··1··1··1··11·1··1·111··111··111·1··1···1···1·1······1····1···1·····1··1····1··1·1··11··1·1··1111·1··1··1······1··1·1·····111·1·1·11···11··1··1··1···1·11·1·1···111·11·1··1·11··1··111·1···1···1··1·1·1·1··1··1·11·1···1111·111···11··11·····1··1··1···1·······1··1··1···1···1 |
| out 82 (157) | ·····1····1·1·11······1····11·11···1····11··1···111······1·11···11··1···1·11111·1···11···111·1··1··11····11··1·1··1·········111···1··1···11··1·1··1··11·1··1·111·11··11····1··1·1···1··11111·1······1··1··1······1····1··1·1·11·····1··11·1·1····1·1·1·1··1··111·······1··11····11·1····1··111·111··11···111·1··111··11·1··1··1·····11·1··1·1···11·1·1··1·11·1···111111··1·······1·····1·1·1···1·1111··1····1···1······1 |
| out 83 (167) | ····11······1··1···1··1····11111··1··1···1····1··1···1·11··1··1··11··1··1·11·11·1···1····1111·111··1··1···11·11··11··1····1··1··1···11·1·1··1··1··1··1··1··1·111··111···1··1··1···1···111·1·1··1···111··1···1·1··1···11····1··1···1·1··1111·1··1··1··1······1·1·····111···1··1···11··1··1··11··111··1····1111·1111··1·111·1··11··1·1·1···1·11·1·1·1··1··1·1··11··1111·111····1···1·····1··1··1·1·1·1··1··1·11·11·1·1···1 |
| out 84 (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···································11······ |
| out 85 (159) | ·1··1·····1·1·········11·········111·1······11··1·1··1···1·1111······11·1·1···1·····11·1·1····11····111···1··1·1111·11········111·1·11·······1·1·11·······11·1·1····1··11··1···11·1·111···1··111··1·11····111111·1·1·1···1·1········1·1·······11·11·······11·1·1····1··1··1111·······1·11··1····1···111··1····11··111·1·1··1111·11·····111111······1·11·1·······111·1···1···11···1······111111·····1···1111·1·1·11111··1 |
| out 86 (151) | ·1···1···11·····1··1···1···111·1·1·1·····1·111··11···1·1111·1····11··11····1·1··1····1····111·11···111·····1··1111··1····1···111·······1····11···1···1··1·········111····1····1·1···11·11···111···1·····1···11·1···1··11·1·····1··1··11111··1·1··1···1···111·11·····11111··1·····11··1·1····1··1·1···1····111·11·111···1··1111··1·1··1·11·····1···11··1···1··1········111·······1······1·1·11··1·1····111·1····1·11·1··· |
| out 87 (157) | ·1··11···1··1·1·1·····1·····1··1···1····11··1··111·······1·11···11··1···1·111·1·11··11···11·11······1····1·····1·111·····11·111···1··1·1··1··1·1··1··11·1····1·1·11··11····1··1·1···1··11·1111······1···1·1·1··1·1·1·111···1·1·1····1···1···1····1·1·1·1··1··11········1··11····11·1····1··111··111·11···11·11····1··1·····1·111··1111·1··1·1·1··1·1·1··1·11·1····1·111··1·······1·····1·1·1···1·1·11·11····1··111··1··1 |
| out 88 (31) | ·1··1···········11·························································1·····1·······1····1···········1··1············11···························································1····1········1····1········1·1·········11···························································1·····1······1····1·······1·1··········1···························································1······1·······1·1······· |
| out 89 (157) | ··········1···11···1·······1·1····11·1··11·11···1······1111·111·1·1·1·······1·1······1·····11111····1·1··1·1·111·1···1···11·1·1·1·1·1·····1·11··········1·1···1··1·1·11111·····11·1·1·1··11111·1···1·1··1·1·1·1··········1···11···1····1·1·····1·111·1·1111··1·······1111··111··1·11·········1··1····1·····11111··1·11·11·11·1···1111··1·111·····111·········1··1··1·1·1·1··11··1·······1111·1····111·11·1·1··1111·1···· |
| out 90 (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 91 (143) | ·1···11·····1··11··1··1····111·1··1··1···1·1··1··1·····11··1··1··11·····1·1··11·1···1·····11···11··1··1····1·····11··1·······1··1···11·1····1··1··1··1··1··1·111··11····1··1··11··1···1·1·1·1··1···11·····1·1·1··1·1··1····1··11··1·1··111··1··1··1··1···1··1·1······11···1··1···11·····1··1···111··1·····11···111··1··1·····11··1···1···1·11·1···1··1··1·1··1···1111·11·····1···1·····11·1··1···1·1··1··1·11···11·1···1 |
| out 92 (167) | ·····1···11·····1··1···1···11111·1·1·····1·1111·11···1·111··1····11···1····1·1··1····1···1111·11···111····11··1111··1····1···111··1····1·1··11···1···1··1·1·······111··1·1····111···11·11···111···1·11··1···11·1······11·1·····1··1···11111·1·1··1···1···111111·····1111···1·····11····1····1··1·1···1·1·1111·11·111··11··1111··1·1··1·11·1···1·1·11··1···1··1··1·····111···1···1······111·11··1·1····111·1·1·11·11·1··· |
| out 93 (159) | ·····1····1·1··1···1··1·····1111··1··1···1·1·····1·····11··1·11··11··1··1·1··1··1···1····1111··11·····1···11··1··111·1····1··1··1···11···11·1··1··1··1··1·11·111··11····11·1··1···1···1·1···1··1···111··1·1·1·11·1····1··1·1··1···1·1···11111··1··1··1···1····1······11···1·11···11··1··1··1···1·1··1····1111··11···1·11··1··111·1·1·1···1·11···111··1··1·1··1··11111·11·····1··11·····1··1··1···1····1··1·11·1111·11··1 |
| out 94 (151) | ·1·1·1····1····11··1···1···111·1·1·1·····1·111··11···1·1111·1····11··11······1··1····1·1··111··11··111·····11·111···1········111··1····1····11···1···1··1·········111····1····1·1···11··1···111···11····1·1··1·1···11·1··1····11··1···1111··1·1··1···1···111·11·····11111··1·····11··1·1·······1·1···11···111··11111···1··111···1····1·11·1···1···11··1···1··1········111·······1······1·1·11····1····111·11···11·1·1··· |
| out 95 (165) | ····11···11···1·1·····11···11··1·11··1··11···11··1···1····1··11·11··1·1····11·1·1········11·11··1··1·11··11·····1··111···11·11·111··1·····1······1···11·1·····1··11·111·1·····1···1··1111·11··11··11····1·1·1111·····111·1···1·1····1·111···1·11··11·1·1···11·1·····1···1···11··11·1···1····11··11·······11·11··11·1111·····1··1111111··11·1·····1····1···11·1·····1·11·11···1·········1··1·11·1·1·11···1111···111111··· |
| out 96 (167) | ·····1·1····1··1···1··1····11111··1··1···1·1·····1·····11·11··1··11··1··1·11·11·1···1····1111··11·····1···11··11·11··1····1··1··1···11·1·1··1··1··1··1··1·11·111··11···11··1··1···1···111·1·1··1···111··1·1·1·11·1····1····1··1···1·1··1111·1··1··1··1···1····1······11·1·1··1···11··1··1··11··111··1····1111··11···1·11··11·11··1·1·1···1·11·1·1·1··1··1·1··1··11111·11····11···1·····1··1··1·1·1·1··1··1·11·1111·11··1 |
| out 97 (175) | ····11······1··1···1··1····11111··1··1·····1·····111···11·11·11··11··1··1·11·11·1···1····1111·111··1··1···11·11··11··1····1··1··1···11·1·1··1··1··1··11·1·11·1·11·11···111·1··1···1···111·1·1··1···111··1···1·1··1···11····1··1···1·1··1111·1··1··1······1····11·1···11·1·1·11···11··1··1··11··111··1····1111·1111··1·111·1··11··1·1·1···1·11·1·1·1··1··1·11·1··111·1·11····11··11·····1··1··1·1·1·1··1··1·11·11·1·1···1 |
| out 98 (159) | ····1····1··1···1·····11······1··111·1···1··11··1·1······1111·1·······1·1·1··1···1··11·1·1··1···1·1·111······1·11·1111····1···111·1·11···1···1·1·11···1···11·1·1········11·1····1·1·111··1··1111··1·11··1····1·1·1···1·1···1···1····1·1···1···11·11··1····11·1·1·······11·11·1·········11··1···1··1·111··1··1···1·111···1··11·1111·1···111111···1··1·11·1··1····111·1········1··11·······11111····1···11111·1·11··1·1··1 |
| out 99 (159) | ····11····1·1··11··1··1·····1111··1··1·····1·····1·····11·11·11··11··1··1··1·1··11··1··1··111·11······1···11·11··111·1·······1··1···11···1··1··1··1··11·1·11·111··11···111·1··1···1···111······1····1···1·····11·1···11··1·1··11··1·1···111·1··1··1······1····1······11·1·1·11···11··1··1···1··1·11·1·1···111·11····1·111·1··111·1···1···1·11···1·1··1··1·11·1··11111·11····11··11·····1··1··111·1·······1··1··1···11··1 |
| check 100 (252) | ·1·111····1·111·11·1··11····11·1·111·1··111111··1·11·1··11·11111111·111·1·1·1···1···11·111111111····111··1·1··11111·11···1··11111·1·1111·11·11·1·111·1··1·11·1·1··11·1111··1·11·1·1·111111111111··1·1·······1111·111111··1·111·11·1·1·1·11··1·11·111·111·111·1·1·11·1·11··1111·11111·1·11··1·1···1··111·11111111··1111·1··11111·111·11·11111111·1111·11·111··1··111·1·11·1··11···1···1·1·11111·1·1111·11111·1····1111··1 |
| check 101 (160) | ···1········1·1·11·1········1····111····1111·1··111·····1·1·11··11····1···111·1······1····1·1·111···1····11···1·11·1·····11····11·1··1·1·1··1·····1··11···1··111·11·1···11·1·1·1··1·1··11···1·11····11····1·111··1··1······1·1·11·1·····1·····11·1·1·11··1·1·111······1·1··11···11·····1···111··1····1····1·1·111·1··11···1·11·1··11····111·1·1·1·1·····1·11····1·11111·1····1··11···1··1·11···1·1····1·11··1·1·1111···1 |
| check 102 (150) | ·1··11······111··1·····1···111·1··1··1··111·111·1·······1·11··111···1·1·······1·1···1··111··11······11·····1·11··11··1······1·11··1····1····1··1··11··1···1··1····11··111··1·1··1···11··111·1··1····1·······11·····1·11····111··1·····1111··1··1··11·111··1111········1·1·1··1·11··1···1········11··1·1·11··11····11···11·1··11··1··1··11·1···1···1··1··11·1····1·1···11····11···1···1···1·11····111··1··1··1····11····· |
| check 103 (152) | ·1··1····11·1·11···1··11····1··1··11·1····1·1···1·······1··1·1··1·1·111·1·11····11···1·1111···1·1···1·1··111··1·11111····11·1··1·····11··1···1·····1·1··1·1···1··1·1·1·1···1·········1··1·1·11·1·····1··1·····1····1·1·1·1·1·11···1·1·1·1···1··1·11···1···1··1········1···1·1···1·11·1·11··11····11··11·111···1·1·1·1111··1·11111·111···1···11··1··1·····11··1··1··1·1·1·1··1····1··········1····1·1··11·1····11···1···· |
| check 104 (150) | ····11····1·1·111·····1·····1·11···1····1···1·1·11·1·1·11····111··1··11····1·1···1·····11··1··11·····11··11····1··1·······1·111···1··1·1·11··1·1··1··1··1·11·1·1···1··111····1····1··11···1···11··1·····1·1··11······11··1·1·111····1···1·1·1····1·1···1··1·111··1··111·····11·1··1··1·1····1··1··1···1·1··1··11···1111····1··1····111·1··1·1·1·11·1·1··1·1··1··111·1··1····11·······1····1·11·····1····111····11·11···· |
| check 105 (252) | 1111··1111111111111·1111111··1·111·11·1111··1··111·11·1···1···11···1··1111···1·1··111111··11·1·11111·1·111111·1111·1·11111111··111·1111·1··11·1·11111·11·1·111··111··1·1··1·11···111·1···1·1··111111··11·1·1111111···11·1·1······111·1·11·11·1·11·1·1·1·11·11··11··11111·1111·1·1111111··111111·1111···111··1·1···1·1···11····1·1····111··1···1111·111·1··1·11111··11··11·11·11111111·1111·1·11111·1·111····11111····11· |
| check 106 (166) | 111···1·111·1·111·1·1·11·1·1·1··11··1·1·11·····1·····111·····1·······11·11·····1·11·1·11·1·1111111···1·1·111··1·11·1··1·111·1··1·1·1·1·11···1·1··11·1·11···1········111··1·····1·1·1·1·····11·1·1·11·1·1111111··11·1·1·1111···1···1········1····1········1·1··1·1·11111·1·1···1·1·11·······1·1·1······11····1·1·11····1·1····1111·1···1··········1···1········11··1·11·11·1·1·1··11·1·1·······1·1·1········11··111··1··· |
| check 107 (216) | ·11·111··1·11··11··1·11111·11···11·1··1····111111···11··11··1·1··11··1111··1·11·11·111···1········1111·1·····1·111·1111······111111·11·11··1·1···11··11·1·11·1·····11·11·11···1·1·1111·11·1··1111·1··111··111111·1···1··1········1····11·1··1·11111·11··1·11·1·11··111·1·111··1·····1··1··111·1·1····111·111··11··111·1111111·111·11··111·1···11··111111······1···111·1·1·1·111·11·11···11·11111··11·1111·111·1··11···1· |
| check 108 (206) | ·1·11·1··1·1···1·11···1·11····11111·111··1··111···1···1··1·11······1·11·1111··11·1··1·1······111····1·11··1·11111·111·1··1·11·111·11·····1·111·11·····11···111·1·····1·11111·1·11·1·1·11··111111·1·11····11111111··1··11·111··1··11·111····1··11·1···11·1111111·1···1111··1·111····11··1111·1····1··1111····1······1··1··1·11·1··11··11111·11····1·1·1111··1111··1·1····1·1·11·1······11·11·1·11·····1·1111····1·1111111 |
| check 109 (168) | ····1··111111··1····111111····1··1·11·1··1··1·111····1·······11······11111·1······111111·1··1·1··11··1·1·····1·111·1·11··1·····111·111···1····1·111···1··1111·······1····11····1·111·1·1······111111·1··1·1··11·11···1··1·1···1····1·1····1··1·11·1··1·····1··111···1··11111··1······11··1111······1···1·1··1·1·111·1···1·····1·1·1····1··1·····1··111·1···1···1··111···1··11111·1······11·1·111·······1····1·1111··111· |
| check 110 (150) | ·········1···11·111·111111·1···········111··1·111·1··1·1··1····1···1·11111·1·············111·111111··1·1·········1·····11·111··111·111·1···········11·11·1111·1·····1·11····11·1·111·1·1·············111·111111·11·····1······1··111·1·1············1·1·11·1··1·1···11··1·······11111·1··1111···········1···1····11·1········1····1··111··1···1···········1·1111··1·1···1···1·····111·11·1·1·111·············1·1····111· |
| check 111 (208) | ·1········1···111··1······11··11111·1111···1···1··1·····111·111·1·1·11·····11·11·1111·11··1·1····11·1111·111·111·1···1···1··1·1·1·1·1·1·1111·11·11111·11·1111····1·1·1·111······1·1·1·11·11··11·111··11111·111··11·1·····1···111··1·····11·1·1··11·111111·11111·1·····111··111··1·11·1········11·1·1·1·111·1·11111···1111·11·1···11·1··1·111··11··1·11·1··1·1111··1111·1·1··11··1········111·1··11··111··1·111··1··1111· |
| check 112 (200) | ····1·······1·········11·········111·1···1··11··11111·11·1111··1···1·1·1·111···1·111··1··11111·1111·1·11·····1·1111111········111·1·11·······1·1·11···1···11···11·1··11·111111·111·11·11···111··11·1111111·1···11····1·····1········1·1·······11·11··1····11·111··111·1··1··111·11111·11111··11111·111111·····1··1·1····1··1111111·····111111······1·11·1··1····11··11·11·111·11··111·11··1·1·1·1111·1··111··1··1111·111 |
The gate is read off the output rows. An output row of odd weight gives a T, a pair of output rows with odd overlap gives a CS, and an odd triple overlap gives a CCZ. The circuit is a valid factory because every such parity that touches a check row is even.
Figures of merit
inputs n408Noisy T states per run.
outputs k100
distance d3Exact, proved and witnessed here.
error coefficient A_{3}1,434Faults of weight 3 in the circuit shown that pass every check and damage the output. The output error is A_{3}\,p^{3} to leading order.
wires N113
checks r13
V_{\mathrm{ex}}100T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.2799Overhead per extractable T state. Lower is better.
\gamma = \log(n/k)/\log d1.2799Overhead per output qubit.
\gamma_T = \log(n/T)/\log dnot computedOverhead per unit of T-count.
T-countnot computedMinimal T-count of the output gate. Not computable at this width.
phase-polynomial degreenot computedMinimised over changes of output basis.
effective width100Rank of the output rows modulo the check rows.
Output gate
100 T0 CS0 CCZon 100 output wires
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}
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 (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 107 single-wire gates and 700 \mathrm{CZ} gates: \mathrm{Z} 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{Z} on output 11, \mathrm{Z} on output 12, \mathrm{S} on output 13, \mathrm{Z} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{Z} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{Z} on output 21, \mathrm{S} on output 22, \mathrm{S} on output 23 and 783 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.
All 807 correction gates
\mathrm{Z} 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{Z} on output 11, \mathrm{Z} on output 12, \mathrm{S} on output 13, \mathrm{Z} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{Z} on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{Z} 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{Z} on output 28, \mathrm{S} on output 29, \mathrm{Z} on output 30, \mathrm{Z} on output 31, \mathrm{S} on output 32, \mathrm{S} on output 33, \mathrm{S} on output 34, \mathrm{S} on output 35, \mathrm{Z} on output 36, \mathrm{Z} on output 37, \mathrm{Z} on output 38, \mathrm{S} on output 39, \mathrm{S} on output 40, \mathrm{Z} on output 41, \mathrm{S} on output 42, \mathrm{S} on output 43, \mathrm{S} on output 44, \mathrm{S}^\dagger 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{Z} on output 53, \mathrm{Z} on output 54, \mathrm{Z} on output 55, \mathrm{S} on output 56, \mathrm{S} on output 57, \mathrm{S} on output 58, \mathrm{Z} 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{Z} on output 65, \mathrm{S} on output 66, \mathrm{Z} on output 67, \mathrm{S} on output 68, \mathrm{Z} on output 69, \mathrm{S} on output 70, \mathrm{Z} on output 71, \mathrm{Z} on output 72, \mathrm{Z} on output 73, \mathrm{Z} on output 74, \mathrm{S} on output 75, \mathrm{S} on output 76, \mathrm{S} on output 77, \mathrm{Z} on output 78, \mathrm{S} on output 79, \mathrm{Z} on output 80, \mathrm{S} on output 81, \mathrm{Z} on output 82, \mathrm{S} on output 83, \mathrm{S} on output 84, \mathrm{S} on output 85, \mathrm{S} on output 86, \mathrm{Z} on output 87, \mathrm{S} on output 88, \mathrm{Z} 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{Z} on output 95, \mathrm{S} on output 96, \mathrm{S} on output 97, \mathrm{S} on output 98, \mathrm{S} on output 99, \mathrm{Z} on check 100, \mathrm{S} on check 102, \mathrm{S} on check 104, \mathrm{Z} on check 105, \mathrm{S} on check 106, \mathrm{S} on check 108, \mathrm{S} on check 110, \mathrm{CZ} on output 0, output 11, \mathrm{CZ} on output 0, output 12, \mathrm{CZ} on output 0, output 14, \mathrm{CZ} on output 0, output 18, \mathrm{CZ} on output 0, output 21, \mathrm{CZ} on output 0, output 28, \mathrm{CZ} on output 0, output 30, \mathrm{CZ} on output 0, output 31, \mathrm{CZ} on output 0, output 36, \mathrm{CZ} on output 0, output 37, \mathrm{CZ} on output 0, output 38, \mathrm{CZ} on output 0, output 41, \mathrm{CZ} on output 0, output 45, \mathrm{CZ} on output 0, output 53, \mathrm{CZ} on output 0, output 54, \mathrm{CZ} on output 0, output 55, \mathrm{CZ} on output 0, output 59, \mathrm{CZ} on output 0, output 65, \mathrm{CZ} on output 0, output 67, \mathrm{CZ} on output 0, output 69, \mathrm{CZ} on output 0, output 71, \mathrm{CZ} on output 0, output 72, \mathrm{CZ} on output 0, output 73, \mathrm{CZ} on output 0, output 74, \mathrm{CZ} on output 0, output 78, \mathrm{CZ} on output 0, output 80, \mathrm{CZ} on output 0, output 82, \mathrm{CZ} on output 0, output 87, \mathrm{CZ} on output 0, output 89, \mathrm{CZ} on output 0, output 95, \mathrm{CZ} on output 0, check 100, \mathrm{CZ} on output 0, check 102, \mathrm{CZ} on output 0, check 104, \mathrm{CZ} on output 0, check 105, \mathrm{CZ} on output 0, check 106, \mathrm{CZ} on output 0, check 108, \mathrm{CZ} on output 0, check 110, \mathrm{CZ} on output 11, output 12, \mathrm{CZ} on output 11, output 14, \mathrm{CZ} on output 11, output 18, \mathrm{CZ} on output 11, output 21, \mathrm{CZ} on output 11, output 28, \mathrm{CZ} on output 11, output 30, \mathrm{CZ} on output 11, output 31, \mathrm{CZ} on output 11, output 36, \mathrm{CZ} on output 11, output 37, \mathrm{CZ} on output 11, output 38, \mathrm{CZ} on output 11, output 41, \mathrm{CZ} on output 11, output 45, \mathrm{CZ} on output 11, output 53, \mathrm{CZ} on output 11, output 54, \mathrm{CZ} on output 11, output 55, \mathrm{CZ} on output 11, output 59, \mathrm{CZ} on output 11, output 65, \mathrm{CZ} on output 11, output 67, \mathrm{CZ} on output 11, output 69, \mathrm{CZ} on output 11, output 71, \mathrm{CZ} on output 11, output 72, \mathrm{CZ} on output 11, output 73, \mathrm{CZ} on output 11, output 74, \mathrm{CZ} on output 11, output 78, \mathrm{CZ} on output 11, output 80, \mathrm{CZ} on output 11, output 82, \mathrm{CZ} on output 11, output 87, \mathrm{CZ} on output 11, output 89, \mathrm{CZ} on output 11, output 95, \mathrm{CZ} on output 11, check 100, \mathrm{CZ} on output 11, check 102, \mathrm{CZ} on output 11, check 104, \mathrm{CZ} on output 11, check 105, \mathrm{CZ} on output 11, check 106, \mathrm{CZ} on output 11, check 108, \mathrm{CZ} on output 11, check 110, \mathrm{CZ} on output 12, output 14, \mathrm{CZ} on output 12, output 18, \mathrm{CZ} on output 12, output 21, \mathrm{CZ} on output 12, output 28, \mathrm{CZ} on output 12, output 30, \mathrm{CZ} on output 12, output 31, \mathrm{CZ} on output 12, output 36, \mathrm{CZ} on output 12, output 37, \mathrm{CZ} on output 12, output 38, \mathrm{CZ} on output 12, output 41, \mathrm{CZ} on output 12, output 45, \mathrm{CZ} on output 12, output 53, \mathrm{CZ} on output 12, output 54, \mathrm{CZ} on output 12, output 55, \mathrm{CZ} on output 12, output 59, \mathrm{CZ} on output 12, output 65, \mathrm{CZ} on output 12, output 67, \mathrm{CZ} on output 12, output 69, \mathrm{CZ} on output 12, output 71, \mathrm{CZ} on output 12, output 72, \mathrm{CZ} on output 12, output 73, \mathrm{CZ} on output 12, output 74, \mathrm{CZ} on output 12, output 78, \mathrm{CZ} on output 12, output 80, \mathrm{CZ} on output 12, output 82, \mathrm{CZ} on output 12, output 87, \mathrm{CZ} on output 12, output 89, \mathrm{CZ} on output 12, output 95, \mathrm{CZ} on output 12, check 100, \mathrm{CZ} on output 12, check 102, \mathrm{CZ} on output 12, check 104, \mathrm{CZ} on output 12, check 105, \mathrm{CZ} on output 12, check 106, \mathrm{CZ} on output 12, check 108, \mathrm{CZ} on output 12, check 110, \mathrm{CZ} on output 14, output 18, \mathrm{CZ} on output 14, output 21, \mathrm{CZ} on output 14, output 28, \mathrm{CZ} on output 14, output 30, \mathrm{CZ} on output 14, output 31, \mathrm{CZ} on output 14, output 36, \mathrm{CZ} on output 14, output 37, \mathrm{CZ} on output 14, output 38, \mathrm{CZ} on output 14, output 41, \mathrm{CZ} on output 14, output 45, \mathrm{CZ} on output 14, output 53, \mathrm{CZ} on output 14, output 54, \mathrm{CZ} on output 14, output 55, \mathrm{CZ} on output 14, output 59, \mathrm{CZ} on output 14, output 65, \mathrm{CZ} on output 14, output 67, \mathrm{CZ} on output 14, output 69, \mathrm{CZ} on output 14, output 71, \mathrm{CZ} on output 14, output 72, \mathrm{CZ} on output 14, output 73, \mathrm{CZ} on output 14, output 74, \mathrm{CZ} on output 14, output 78, \mathrm{CZ} on output 14, output 80, \mathrm{CZ} on output 14, output 82, \mathrm{CZ} on output 14, output 87, \mathrm{CZ} on output 14, output 89, \mathrm{CZ} on output 14, output 95, \mathrm{CZ} on output 14, check 100, \mathrm{CZ} on output 14, check 102, \mathrm{CZ} on output 14, check 104, \mathrm{CZ} on output 14, check 105, \mathrm{CZ} on output 14, check 106, \mathrm{CZ} on output 14, check 108, \mathrm{CZ} on output 14, check 110, \mathrm{CZ} on output 18, output 21, \mathrm{CZ} on output 18, output 28, \mathrm{CZ} on output 18, output 30, \mathrm{CZ} on output 18, output 31, \mathrm{CZ} on output 18, output 36, \mathrm{CZ} on output 18, output 37, \mathrm{CZ} on output 18, output 38, \mathrm{CZ} on output 18, output 41, \mathrm{CZ} on output 18, output 45, \mathrm{CZ} on output 18, output 53, \mathrm{CZ} on output 18, output 54, \mathrm{CZ} on output 18, output 55, \mathrm{CZ} on output 18, output 59, \mathrm{CZ} on output 18, output 65, \mathrm{CZ} on output 18, output 67, \mathrm{CZ} on output 18, output 69, \mathrm{CZ} on output 18, output 71, \mathrm{CZ} on output 18, output 72, \mathrm{CZ} on output 18, output 73, \mathrm{CZ} on output 18, output 74, \mathrm{CZ} on output 18, output 78, \mathrm{CZ} on output 18, output 80, \mathrm{CZ} on output 18, output 82, \mathrm{CZ} on output 18, output 87, \mathrm{CZ} on output 18, output 89, \mathrm{CZ} on output 18, output 95, \mathrm{CZ} on output 18, check 100, \mathrm{CZ} on output 18, check 102, \mathrm{CZ} on output 18, check 104, \mathrm{CZ} on output 18, check 105, \mathrm{CZ} on output 18, check 106, \mathrm{CZ} on output 18, check 108, \mathrm{CZ} on output 18, check 110, \mathrm{CZ} on output 21, output 28, \mathrm{CZ} on output 21, output 30, \mathrm{CZ} on output 21, output 31, \mathrm{CZ} on output 21, output 36, \mathrm{CZ} on output 21, output 37, \mathrm{CZ} on output 21, output 38, \mathrm{CZ} on output 21, output 41, \mathrm{CZ} on output 21, output 45, \mathrm{CZ} on output 21, output 53, \mathrm{CZ} on output 21, output 54, \mathrm{CZ} on output 21, output 55, \mathrm{CZ} on output 21, output 59, \mathrm{CZ} on output 21, output 65, \mathrm{CZ} on output 21, output 67, \mathrm{CZ} on output 21, output 69, \mathrm{CZ} on output 21, output 71, \mathrm{CZ} on output 21, output 72, \mathrm{CZ} on output 21, output 73, \mathrm{CZ} on output 21, output 74, \mathrm{CZ} on output 21, output 78, \mathrm{CZ} on output 21, output 80, \mathrm{CZ} on output 21, output 82, \mathrm{CZ} on output 21, output 87, \mathrm{CZ} on output 21, output 89, \mathrm{CZ} on output 21, output 95, \mathrm{CZ} on output 21, check 100, \mathrm{CZ} on output 21, check 102, \mathrm{CZ} on output 21, check 104, \mathrm{CZ} on output 21, check 105, \mathrm{CZ} on output 21, check 106, \mathrm{CZ} on output 21, check 108, \mathrm{CZ} on output 21, check 110, \mathrm{CZ} on output 28, output 30, \mathrm{CZ} on output 28, output 31, \mathrm{CZ} on output 28, output 36, \mathrm{CZ} on output 28, output 37, \mathrm{CZ} on output 28, output 38, \mathrm{CZ} on output 28, output 41, \mathrm{CZ} on output 28, output 45, \mathrm{CZ} on output 28, output 53, \mathrm{CZ} on output 28, output 54, \mathrm{CZ} on output 28, output 55, \mathrm{CZ} on output 28, output 59, \mathrm{CZ} on output 28, output 65, \mathrm{CZ} on output 28, output 67, \mathrm{CZ} on output 28, output 69, \mathrm{CZ} on output 28, output 71, \mathrm{CZ} on output 28, output 72, \mathrm{CZ} on output 28, output 73, \mathrm{CZ} on output 28, output 74, \mathrm{CZ} on output 28, output 78, \mathrm{CZ} on output 28, output 80, \mathrm{CZ} on output 28, output 82, \mathrm{CZ} on output 28, output 87, \mathrm{CZ} on output 28, output 89, \mathrm{CZ} on output 28, output 95, \mathrm{CZ} on output 28, check 100, \mathrm{CZ} on output 28, check 102, \mathrm{CZ} on output 28, check 104, \mathrm{CZ} on output 28, check 105, \mathrm{CZ} on output 28, check 106, \mathrm{CZ} on output 28, check 108, \mathrm{CZ} on output 28, check 110, \mathrm{CZ} on output 30, output 31, \mathrm{CZ} on output 30, output 36, \mathrm{CZ} on output 30, output 37, \mathrm{CZ} on output 30, output 38, \mathrm{CZ} on output 30, output 41, \mathrm{CZ} on output 30, output 45, \mathrm{CZ} on output 30, output 53, \mathrm{CZ} on output 30, output 54, \mathrm{CZ} on output 30, output 55, \mathrm{CZ} on output 30, output 59, \mathrm{CZ} on output 30, output 65, \mathrm{CZ} on output 30, output 67, \mathrm{CZ} on output 30, output 69, \mathrm{CZ} on output 30, output 71, \mathrm{CZ} on output 30, output 72, \mathrm{CZ} on output 30, output 73, \mathrm{CZ} on output 30, output 74, \mathrm{CZ} on output 30, output 78, \mathrm{CZ} on output 30, output 80, \mathrm{CZ} on output 30, output 82, \mathrm{CZ} on output 30, output 87, \mathrm{CZ} on output 30, output 89, \mathrm{CZ} on output 30, output 95, \mathrm{CZ} on output 30, check 100, \mathrm{CZ} on output 30, check 102, \mathrm{CZ} on output 30, check 104, \mathrm{CZ} on output 30, check 105, \mathrm{CZ} on output 30, check 106, \mathrm{CZ} on output 30, check 108, \mathrm{CZ} on output 30, check 110, \mathrm{CZ} on output 31, output 36, \mathrm{CZ} on output 31, output 37, \mathrm{CZ} on output 31, output 38, \mathrm{CZ} on output 31, output 41, \mathrm{CZ} on output 31, output 45, \mathrm{CZ} on output 31, output 53, \mathrm{CZ} on output 31, output 54, \mathrm{CZ} on output 31, output 55, \mathrm{CZ} on output 31, output 59, \mathrm{CZ} on output 31, output 65, \mathrm{CZ} on output 31, output 67, \mathrm{CZ} on output 31, output 69, \mathrm{CZ} on output 31, output 71, \mathrm{CZ} on output 31, output 72, \mathrm{CZ} on output 31, output 73, \mathrm{CZ} on output 31, output 74, \mathrm{CZ} on output 31, output 78, \mathrm{CZ} on output 31, output 80, \mathrm{CZ} on output 31, output 82, \mathrm{CZ} on output 31, output 87, \mathrm{CZ} on output 31, output 89, \mathrm{CZ} on output 31, output 95, \mathrm{CZ} on output 31, check 100, \mathrm{CZ} on output 31, check 102, \mathrm{CZ} on output 31, check 104, \mathrm{CZ} on output 31, check 105, \mathrm{CZ} on output 31, check 106, \mathrm{CZ} on output 31, check 108, \mathrm{CZ} on output 31, check 110, \mathrm{CZ} on output 36, output 37, \mathrm{CZ} on output 36, output 38, \mathrm{CZ} on output 36, output 41, \mathrm{CZ} on output 36, output 45, \mathrm{CZ} on output 36, output 53, \mathrm{CZ} on output 36, output 54, \mathrm{CZ} on output 36, output 55, \mathrm{CZ} on output 36, output 59, \mathrm{CZ} on output 36, output 65, \mathrm{CZ} on output 36, output 67, \mathrm{CZ} on output 36, output 69, \mathrm{CZ} on output 36, output 71, \mathrm{CZ} on output 36, output 72, \mathrm{CZ} on output 36, output 73, \mathrm{CZ} on output 36, output 74, \mathrm{CZ} on output 36, output 78, \mathrm{CZ} on output 36, output 80, \mathrm{CZ} on output 36, output 82, \mathrm{CZ} on output 36, output 87, \mathrm{CZ} on output 36, output 89, \mathrm{CZ} on output 36, output 95, \mathrm{CZ} on output 36, check 100, \mathrm{CZ} on output 36, check 102, \mathrm{CZ} on output 36, check 104, \mathrm{CZ} on output 36, check 105, \mathrm{CZ} on output 36, check 106, \mathrm{CZ} on output 36, check 108, \mathrm{CZ} on output 36, check 110, \mathrm{CZ} on output 37, output 38, \mathrm{CZ} on output 37, output 41, \mathrm{CZ} on output 37, output 45, \mathrm{CZ} on output 37, output 53, \mathrm{CZ} on output 37, output 54, \mathrm{CZ} on output 37, output 55, \mathrm{CZ} on output 37, output 59, \mathrm{CZ} on output 37, output 65, \mathrm{CZ} on output 37, output 67, \mathrm{CZ} on output 37, output 69, \mathrm{CZ} on output 37, output 71, \mathrm{CZ} on output 37, output 72, \mathrm{CZ} on output 37, output 73, \mathrm{CZ} on output 37, output 74, \mathrm{CZ} on output 37, output 78, \mathrm{CZ} on output 37, output 80, \mathrm{CZ} on output 37, output 82, \mathrm{CZ} on output 37, output 87, \mathrm{CZ} on output 37, output 89, \mathrm{CZ} on output 37, output 95, \mathrm{CZ} on output 37, check 100, \mathrm{CZ} on output 37, check 102, \mathrm{CZ} on output 37, check 104, \mathrm{CZ} on output 37, check 105, \mathrm{CZ} on output 37, check 106, \mathrm{CZ} on output 37, check 108, \mathrm{CZ} on output 37, check 110, \mathrm{CZ} on output 38, output 41, \mathrm{CZ} on output 38, output 45, \mathrm{CZ} on output 38, output 53, \mathrm{CZ} on output 38, output 54, \mathrm{CZ} on output 38, output 55, \mathrm{CZ} on output 38, output 59, \mathrm{CZ} on output 38, output 65, \mathrm{CZ} on output 38, output 67, \mathrm{CZ} on output 38, output 69, \mathrm{CZ} on output 38, output 71, \mathrm{CZ} on output 38, output 72, \mathrm{CZ} on output 38, output 73, \mathrm{CZ} on output 38, output 74, \mathrm{CZ} on output 38, output 78, \mathrm{CZ} on output 38, output 80, \mathrm{CZ} on output 38, output 82, \mathrm{CZ} on output 38, output 87, \mathrm{CZ} on output 38, output 89, \mathrm{CZ} on output 38, output 95, \mathrm{CZ} on output 38, check 100, \mathrm{CZ} on output 38, check 102, \mathrm{CZ} on output 38, check 104, \mathrm{CZ} on output 38, check 105, \mathrm{CZ} on output 38, check 106, \mathrm{CZ} on output 38, check 108, \mathrm{CZ} on output 38, check 110, \mathrm{CZ} on output 41, output 45, \mathrm{CZ} on output 41, output 53, \mathrm{CZ} on output 41, output 54, \mathrm{CZ} on output 41, output 55, \mathrm{CZ} on output 41, output 59, \mathrm{CZ} on output 41, output 65, \mathrm{CZ} on output 41, output 67, \mathrm{CZ} on output 41, output 69, \mathrm{CZ} on output 41, output 71, \mathrm{CZ} on output 41, output 72, \mathrm{CZ} on output 41, output 73, \mathrm{CZ} on output 41, output 74, \mathrm{CZ} on output 41, output 78, \mathrm{CZ} on output 41, output 80, \mathrm{CZ} on output 41, output 82, \mathrm{CZ} on output 41, output 87, \mathrm{CZ} on output 41, output 89, \mathrm{CZ} on output 41, output 95, \mathrm{CZ} on output 41, check 100, \mathrm{CZ} on output 41, check 102, \mathrm{CZ} on output 41, check 104, \mathrm{CZ} on output 41, check 105, \mathrm{CZ} on output 41, check 106, \mathrm{CZ} on output 41, check 108, \mathrm{CZ} on output 41, check 110, \mathrm{CZ} on output 45, output 53, \mathrm{CZ} on output 45, output 54, \mathrm{CZ} on output 45, output 55, \mathrm{CZ} on output 45, output 59, \mathrm{CZ} on output 45, output 65, \mathrm{CZ} on output 45, output 67, \mathrm{CZ} on output 45, output 69, \mathrm{CZ} on output 45, output 71, \mathrm{CZ} on output 45, output 72, \mathrm{CZ} on output 45, output 73, \mathrm{CZ} on output 45, output 74, \mathrm{CZ} on output 45, output 78, \mathrm{CZ} on output 45, output 80, \mathrm{CZ} on output 45, output 82, \mathrm{CZ} on output 45, output 87, \mathrm{CZ} on output 45, output 89, \mathrm{CZ} on output 45, output 95, \mathrm{CZ} on output 45, check 102, \mathrm{CZ} on output 45, check 104, \mathrm{CZ} on output 45, check 106, \mathrm{CZ} on output 45, check 108, \mathrm{CZ} on output 45, check 110, \mathrm{CZ} on output 53, output 54, \mathrm{CZ} on output 53, output 55, \mathrm{CZ} on output 53, output 59, \mathrm{CZ} on output 53, output 65, \mathrm{CZ} on output 53, output 67, \mathrm{CZ} on output 53, output 69, \mathrm{CZ} on output 53, output 71, \mathrm{CZ} on output 53, output 72, \mathrm{CZ} on output 53, output 73, \mathrm{CZ} on output 53, output 74, \mathrm{CZ} on output 53, output 78, \mathrm{CZ} on output 53, output 80, \mathrm{CZ} on output 53, output 82, \mathrm{CZ} on output 53, output 87, \mathrm{CZ} on output 53, output 89, \mathrm{CZ} on output 53, output 95, \mathrm{CZ} on output 53, check 100, \mathrm{CZ} on output 53, check 102, \mathrm{CZ} on output 53, check 104, \mathrm{CZ} on output 53, check 105, \mathrm{CZ} on output 53, check 106, \mathrm{CZ} on output 53, check 108, \mathrm{CZ} on output 53, check 110, \mathrm{CZ} on output 54, output 55, \mathrm{CZ} on output 54, output 59, \mathrm{CZ} on output 54, output 65, \mathrm{CZ} on output 54, output 67, \mathrm{CZ} on output 54, output 69, \mathrm{CZ} on output 54, output 71, \mathrm{CZ} on output 54, output 72, \mathrm{CZ} on output 54, output 73, \mathrm{CZ} on output 54, output 74, \mathrm{CZ} on output 54, output 78, \mathrm{CZ} on output 54, output 80, \mathrm{CZ} on output 54, output 82, \mathrm{CZ} on output 54, output 87, \mathrm{CZ} on output 54, output 89, \mathrm{CZ} on output 54, output 95, \mathrm{CZ} on output 54, check 100, \mathrm{CZ} on output 54, check 102, \mathrm{CZ} on output 54, check 104, \mathrm{CZ} on output 54, check 105, \mathrm{CZ} on output 54, check 106, \mathrm{CZ} on output 54, check 108, \mathrm{CZ} on output 54, check 110, \mathrm{CZ} on output 55, output 59, \mathrm{CZ} on output 55, output 65, \mathrm{CZ} on output 55, output 67, \mathrm{CZ} on output 55, output 69, \mathrm{CZ} on output 55, output 71, \mathrm{CZ} on output 55, output 72, \mathrm{CZ} on output 55, output 73, \mathrm{CZ} on output 55, output 74, \mathrm{CZ} on output 55, output 78, \mathrm{CZ} on output 55, output 80, \mathrm{CZ} on output 55, output 82, \mathrm{CZ} on output 55, output 87, \mathrm{CZ} on output 55, output 89, \mathrm{CZ} on output 55, output 95, \mathrm{CZ} on output 55, check 100, \mathrm{CZ} on output 55, check 102, \mathrm{CZ} on output 55, check 104, \mathrm{CZ} on output 55, check 105, \mathrm{CZ} on output 55, check 106, \mathrm{CZ} on output 55, check 108, \mathrm{CZ} on output 55, check 110, \mathrm{CZ} on output 59, output 65, \mathrm{CZ} on output 59, output 67, \mathrm{CZ} on output 59, output 69, \mathrm{CZ} on output 59, output 71, \mathrm{CZ} on output 59, output 72, \mathrm{CZ} on output 59, output 73, \mathrm{CZ} on output 59, output 74, \mathrm{CZ} on output 59, output 78, \mathrm{CZ} on output 59, output 80, \mathrm{CZ} on output 59, output 82, \mathrm{CZ} on output 59, output 87, \mathrm{CZ} on output 59, output 89, \mathrm{CZ} on output 59, output 95, \mathrm{CZ} on output 59, check 100, \mathrm{CZ} on output 59, check 102, \mathrm{CZ} on output 59, check 104, \mathrm{CZ} on output 59, check 105, \mathrm{CZ} on output 59, check 106, \mathrm{CZ} on output 59, check 108, \mathrm{CZ} on output 59, check 110, \mathrm{CZ} on output 65, output 67, \mathrm{CZ} on output 65, output 69, \mathrm{CZ} on output 65, output 71, \mathrm{CZ} on output 65, output 72, \mathrm{CZ} on output 65, output 73, \mathrm{CZ} on output 65, output 74, \mathrm{CZ} on output 65, output 78, \mathrm{CZ} on output 65, output 80, \mathrm{CZ} on output 65, output 82, \mathrm{CZ} on output 65, output 87, \mathrm{CZ} on output 65, output 89, \mathrm{CZ} on output 65, output 95, \mathrm{CZ} on output 65, check 100, \mathrm{CZ} on output 65, check 102, \mathrm{CZ} on output 65, check 104, \mathrm{CZ} on output 65, check 105, \mathrm{CZ} on output 65, check 106, \mathrm{CZ} on output 65, check 108, \mathrm{CZ} on output 65, check 110, \mathrm{CZ} on output 67, output 69, \mathrm{CZ} on output 67, output 71, \mathrm{CZ} on output 67, output 72, \mathrm{CZ} on output 67, output 73, \mathrm{CZ} on output 67, output 74, \mathrm{CZ} on output 67, output 78, \mathrm{CZ} on output 67, output 80, \mathrm{CZ} on output 67, output 82, \mathrm{CZ} on output 67, output 87, \mathrm{CZ} on output 67, output 89, \mathrm{CZ} on output 67, output 95, \mathrm{CZ} on output 67, check 100, \mathrm{CZ} on output 67, check 102, \mathrm{CZ} on output 67, check 104, \mathrm{CZ} on output 67, check 105, \mathrm{CZ} on output 67, check 106, \mathrm{CZ} on output 67, check 108, \mathrm{CZ} on output 67, check 110, \mathrm{CZ} on output 69, output 71, \mathrm{CZ} on output 69, output 72, \mathrm{CZ} on output 69, output 73, \mathrm{CZ} on output 69, output 74, \mathrm{CZ} on output 69, output 78, \mathrm{CZ} on output 69, output 80, \mathrm{CZ} on output 69, output 82, \mathrm{CZ} on output 69, output 87, \mathrm{CZ} on output 69, output 89, \mathrm{CZ} on output 69, output 95, \mathrm{CZ} on output 69, check 100, \mathrm{CZ} on output 69, check 102, \mathrm{CZ} on output 69, check 104, \mathrm{CZ} on output 69, check 105, \mathrm{CZ} on output 69, check 106, \mathrm{CZ} on output 69, check 108, \mathrm{CZ} on output 69, check 110, \mathrm{CZ} on output 71, output 72, \mathrm{CZ} on output 71, output 73, \mathrm{CZ} on output 71, output 74, \mathrm{CZ} on output 71, output 78, \mathrm{CZ} on output 71, output 80, \mathrm{CZ} on output 71, output 82, \mathrm{CZ} on output 71, output 87, \mathrm{CZ} on output 71, output 89, \mathrm{CZ} on output 71, output 95, \mathrm{CZ} on output 71, check 100, \mathrm{CZ} on output 71, check 102, \mathrm{CZ} on output 71, check 104, \mathrm{CZ} on output 71, check 105, \mathrm{CZ} on output 71, check 106, \mathrm{CZ} on output 71, check 108, \mathrm{CZ} on output 71, check 110, \mathrm{CZ} on output 72, output 73, \mathrm{CZ} on output 72, output 74, \mathrm{CZ} on output 72, output 78, \mathrm{CZ} on output 72, output 80, \mathrm{CZ} on output 72, output 82, \mathrm{CZ} on output 72, output 87, \mathrm{CZ} on output 72, output 89, \mathrm{CZ} on output 72, output 95, \mathrm{CZ} on output 72, check 100, \mathrm{CZ} on output 72, check 102, \mathrm{CZ} on output 72, check 104, \mathrm{CZ} on output 72, check 105, \mathrm{CZ} on output 72, check 106, \mathrm{CZ} on output 72, check 108, \mathrm{CZ} on output 72, check 110, \mathrm{CZ} on output 73, output 74, \mathrm{CZ} on output 73, output 78, \mathrm{CZ} on output 73, output 80, \mathrm{CZ} on output 73, output 82, \mathrm{CZ} on output 73, output 87, \mathrm{CZ} on output 73, output 89, \mathrm{CZ} on output 73, output 95, \mathrm{CZ} on output 73, check 100, \mathrm{CZ} on output 73, check 102, \mathrm{CZ} on output 73, check 104, \mathrm{CZ} on output 73, check 105, \mathrm{CZ} on output 73, check 106, \mathrm{CZ} on output 73, check 108, \mathrm{CZ} on output 73, check 110, \mathrm{CZ} on output 74, output 78, \mathrm{CZ} on output 74, output 80, \mathrm{CZ} on output 74, output 82, \mathrm{CZ} on output 74, output 87, \mathrm{CZ} on output 74, output 89, \mathrm{CZ} on output 74, output 95, \mathrm{CZ} on output 74, check 100, \mathrm{CZ} on output 74, check 102, \mathrm{CZ} on output 74, check 104, \mathrm{CZ} on output 74, check 105, \mathrm{CZ} on output 74, check 106, \mathrm{CZ} on output 74, check 108, \mathrm{CZ} on output 74, check 110, \mathrm{CZ} on output 78, output 80, \mathrm{CZ} on output 78, output 82, \mathrm{CZ} on output 78, output 87, \mathrm{CZ} on output 78, output 89, \mathrm{CZ} on output 78, output 95, \mathrm{CZ} on output 78, check 100, \mathrm{CZ} on output 78, check 102, \mathrm{CZ} on output 78, check 104, \mathrm{CZ} on output 78, check 105, \mathrm{CZ} on output 78, check 106, \mathrm{CZ} on output 78, check 108, \mathrm{CZ} on output 78, check 110, \mathrm{CZ} on output 80, output 82, \mathrm{CZ} on output 80, output 87, \mathrm{CZ} on output 80, output 89, \mathrm{CZ} on output 80, output 95, \mathrm{CZ} on output 80, check 100, \mathrm{CZ} on output 80, check 102, \mathrm{CZ} on output 80, check 104, \mathrm{CZ} on output 80, check 105, \mathrm{CZ} on output 80, check 106, \mathrm{CZ} on output 80, check 108, \mathrm{CZ} on output 80, check 110, \mathrm{CZ} on output 82, output 87, \mathrm{CZ} on output 82, output 89, \mathrm{CZ} on output 82, output 95, \mathrm{CZ} on output 82, check 100, \mathrm{CZ} on output 82, check 102, \mathrm{CZ} on output 82, check 104, \mathrm{CZ} on output 82, check 105, \mathrm{CZ} on output 82, check 106, \mathrm{CZ} on output 82, check 108, \mathrm{CZ} on output 82, check 110, \mathrm{CZ} on output 87, output 89, \mathrm{CZ} on output 87, output 95, \mathrm{CZ} on output 87, check 100, \mathrm{CZ} on output 87, check 102, \mathrm{CZ} on output 87, check 104, \mathrm{CZ} on output 87, check 105, \mathrm{CZ} on output 87, check 106, \mathrm{CZ} on output 87, check 108, \mathrm{CZ} on output 87, check 110, \mathrm{CZ} on output 89, output 95, \mathrm{CZ} on output 89, check 100, \mathrm{CZ} on output 89, check 102, \mathrm{CZ} on output 89, check 104, \mathrm{CZ} on output 89, check 105, \mathrm{CZ} on output 89, check 106, \mathrm{CZ} on output 89, check 108, \mathrm{CZ} on output 89, check 110, \mathrm{CZ} on output 95, check 100, \mathrm{CZ} on output 95, check 102, \mathrm{CZ} on output 95, check 104, \mathrm{CZ} on output 95, check 105, \mathrm{CZ} on output 95, check 106, \mathrm{CZ} on output 95, check 108, \mathrm{CZ} on output 95, check 110, \mathrm{CZ} on check 100, check 102, \mathrm{CZ} on check 100, check 104, \mathrm{CZ} on check 100, check 106, \mathrm{CZ} on check 100, check 108, \mathrm{CZ} on check 100, check 110, \mathrm{CZ} on check 102, check 104, \mathrm{CZ} on check 102, check 105, \mathrm{CZ} on check 102, check 106, \mathrm{CZ} on check 102, check 108, \mathrm{CZ} on check 102, check 110, \mathrm{CZ} on check 104, check 105, \mathrm{CZ} on check 104, check 106, \mathrm{CZ} on check 104, check 108, \mathrm{CZ} on check 104, check 110, \mathrm{CZ} on check 105, check 106, \mathrm{CZ} on check 105, check 108, \mathrm{CZ} on check 105, check 110, \mathrm{CZ} on check 106, check 108, \mathrm{CZ} on check 106, check 110, \mathrm{CZ} on check 108, check 110
Or no Clifford gate at all: run \mathrm{T}^3 on rotations 2, 4, 8, 10, 12, 15, 20, 21, 23, 24, 28, 33, 34, 44, 53, 63, 64, 71, 75, 80, 83, 86, 104, 111 and 141 more (listed below); \mathrm{T}^5 on rotations 3, 5, 7, 14, 16, 27, 35, 38, 42, 45, 46, 47, 49, 52, 55, 56, 58, 61, 72, 79, 84, 85, 106, 211 and 1 more (listed below); \mathrm{T}^\dagger on rotations 1, 6, 9, 11, 13, 17, 19, 26, 29, 32, 36, 37, 39, 40, 41, 48, 65, 66, 67, 68, 69, 70, 73, 74 and 13 more (listed below), and \mathrm{T} on the rest. A power of \mathrm{T} costs one magic state, like \mathrm{T} itself. For a code this is a transversal \mathrm{T} gate, \mathrm{T}^j on each qubit.
All 165 rotations at T³
2, 4, 8, 10, 12, 15, 20, 21, 23, 24, 28, 33, 34, 44, 53, 63, 64, 71, 75, 80, 83, 86, 104, 111, 121, 123, 125, 126, 127, 128, 130, 131, 132, 134, 136, 138, 140, 141, 142, 143, 145, 154, 155, 157, 158, 160, 162, 165, 166, 167, 169, 170, 172, 173, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 188, 189, 190, 191, 194, 196, 197, 199, 202, 203, 204, 207, 208, 209, 214, 218, 220, 221, 224, 226, 228, 230, 231, 233, 236, 238, 239, 241, 242, 245, 259, 260, 261, 263, 265, 266, 267, 271, 274, 277, 279, 280, 282, 284, 287, 290, 292, 293, 297, 300, 302, 304, 305, 306, 310, 312, 318, 319, 324, 326, 328, 329, 331, 332, 333, 334, 338, 340, 342, 343, 344, 346, 348, 349, 350, 351, 352, 354, 355, 356, 357, 362, 364, 368, 369, 372, 373, 376, 378, 380, 381, 383, 386, 388, 390, 392, 393, 394, 397, 406
All 25 rotations at T⁵
3, 5, 7, 14, 16, 27, 35, 38, 42, 45, 46, 47, 49, 52, 55, 56, 58, 61, 72, 79, 84, 85, 106, 211, 213
All 37 rotations at T†
1, 6, 9, 11, 13, 17, 19, 26, 29, 32, 36, 37, 39, 40, 41, 48, 65, 66, 67, 68, 69, 70, 73, 74, 76, 77, 81, 82, 90, 92, 93, 97, 98, 105, 108, 119, 215
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/408.100.3.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-408.100.3.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 1,434 faults of weight 3 are undetectable and damaging, so A_{3}=1{,}434. 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 [0,4,318].
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
a paired-column contraction of an existing triorthogonal code, 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): contraction of an existing code
Discovery: AI search
1 recorded source
[
{
"regime": "AI search (gamma frontier): contraction of an existing code",
"file": "gamma_frontier_release/protocols/paired_column_contraction_408_100_3_3770b737c8bc.json",
"label": "paired_column_contraction_408_100_3_3770b737c8bc",
"N": 113,
"d": 3,
"d_is_exact": true,
"origin": "Existing triorthogonal code with physical paired-column contraction",
"provenance": "gamma frontier release record paired_column_contraction_408_100_3_3770b737c8bc (source catalogue id paired_column_contraction_408_100_3_3770b737c8bc); construction: Existing triorthogonal code with physical paired-column contraction; matrix 3770b737c8bced91...; the release states d=3 (exact), gamma=1.279884635298169 (exact)",
"notes": "matrix gamma_frontier_release/matrices/3770b737c8bced91f17781da9e446a29f17a5728e11854076fe41750a303f48a.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/408.100.3.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[1033].