The circuit
The 111\times404 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 (147) | ········1····11···········1111·111·1··1111111·1·1····1··1················111··1···11··111111·1···1·1···1········1·····11···········11··1·11·1·111·1··1··1·1·1······11················1·111111··111·····1··11111·1·····1····11········111·1·11·111·111·11111·1·····1··1···················11·1·1··11··111111·11·1·1·1········1··11·········11··111·11·111··1···11·1·······1···················1·11·1111111···1·111··1 |
| out 1 (149) | ····1···1·1··11··1··1·····1111··1··1·····1··1········11·11·11··11··1··1·1··1··1···1··1··111·1······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 (141) | ··11········1111·1··11···11········1··1·111····11··1··11·1··1·11······1··11·1·····1··1·11·1·11··1·11··1···111··1·11····1···1·····1····1··11·1·1·········1·····11······1···1·11····1111···11····1·······1········111·······1111·1·1·111·········111·1··11···11····1·11··1··1··11······1···11··1···1·1··11·1·1111·111··1·11··1·11·1···1···1····1·11·11··········1···11········1····1··11··11·1·1····11··1·····1······· |
| out 3 (157) | ···11·····1··1···1··1····11111··1··1···1·1··1··11····11··1·11··11··1··1·11·11·1···1·····111·1···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 (141) | ··11······1··1·1·············1···1····1··1··1·1····1···1···11··11·111···1·1···11··11·111··1······11·····1···11····1····1·1·11····1111····1··1·1·1····1··1·1····11·1·1·1·1·1·11·····11·······1··11····1·1···11···111·····1··1·1···········1····1·1·····1··11······1··1····11···111·1·1···1·1···11·111·11··1··1··11···1···11····1·11··11··1111···1·111··1···1···11···11·1··1··11···1··11···1·1·········111···11··11··· |
| out 5 (141) | ··11····1·1·1··1·1·······11····111····1111·11·1·······1·1·1···11··1·1···1·11·······1···11·1······1····1···11·11·······1·····11·1··1···1··1·····1··11········1·11·1···1··1·1·1··1·1···111·1·11····1········11··1·111···1·1·1··1·1····11·····11·1·1·11··1·111········1·1··1····11·1···1···1·1·1·····1···11·1··1··1··1··1·1·11····1·····111·1···1·1·····1·11········111·1····1··1···11·1·11·····111··1·11··1·····11···1 |
| out 6 (151) | ··1·1···1···1111····1····1·111·1·1·1··1·1··11·1······1··111·1·1·1··11·1··11·1·11··11···1·1··11·····1··1·1····1·1··1···1···1·1··1·1··········1······1·1·11··1··1·11········111····1·11·1··1·1····1····1···11·1····1·1··1···1111···1··1·11·1·1··111··1····111·······1··1·11·1··1·1··1·11···11··111·11···1·1··1·1···11·1····1·1··11··1··1·11·········1·····1·1··11·1·1·11···········1·11··1·1·1··1···1·1··1···1·11·11·· |
| out 7 (149) | ····1·····1·11······1······11··11··1····11·1···11····1·111·1··11··1···1·11············11·1··11··1·11··1···1·1··11········111···1··11·····1····1·1··1···1······11··1·1·1·1··1·1···1····11·1·11··11·1··1·1·1111···1··1····1·11·····1····11···11··1···1··1·1··11·····1·11·1·1···11·1····1··11···········11·1··1111·111··1··1··11····11·1··1·11····1···1··1·1····1····11··1··1·111·····1·1·1······11··1·1111··1111111··· |
| out 8 (141) | ···11·······11·······1·····11····1·····1111···1······1······1·11··111······1···1··11·11··11·11···1····1······11··11······11·11···1·1·····11·1··11·······1···1·11··1·111·1··11··1··111··1··1·····11·····1····1·1·1·11······11·······1··11······1···11··11··1·······1·······11·11·1·1·1·······1··1·111·1··11·111·1··1······11··11··11··11·1·1····11·1··11·······1··111··1··11·11·····11·1·11·1···1···1···11···1···1··1 |
| out 9 (149) | ··11······1·1·11·1········1····111····1111·11·1·1·····1·1·1···11····1···1·11···1···1···11·1··1···1····1···11·11·1·····11····11·1··1·1·1··1·····1··11·······11·11·1······1·1·1··1·1···111···11····1·······111··1·111·····1·1·11·1·····1·····11·1·1·11··1·111·1······1·11·1····11·····1···1·1·1··1··1···11·1··11·1··1··1·1·11·1··11····111·1·1·1·1·····1·11·······1111·1·······1···1··1·11·····111····11··1····111···1 |
| out 10 (143) | ··········1·1·1··1··11···11·11··11·1····1·1·1··11·····1··1·1··1·1·111·1·1···1·11···1·11·1·······11·1··1·1·11·1·1·1·······1··1·····111·····1·····1·1··1···11···1·1·1·1···1·········1·11···11·1········1·1·1·11···········1·1·1··1·1·111·1·1··1·11···1···1·1·11······1···1·1···1·11·1·11··1····111··11·1·1······11·11·11·1·1·1·1···1···1···111····1·····11··1····1··1·1·1··1···1··········1··1·1····11·1·····111·11··· |
| out 11 (147) | ··1·1···1·1·11·1·····1···11····1·1·1·····1·1··1·1······11··1··1·1·······11········11··1·1·11·····1·1··111···1·1·11····11··1··1····111··1·1··1···1·1·····1·····1·11·111··1·11·1·1··1··1··11·1····1····1····1·1···11·1··1·1·11·1··1··111·····1··11····1·1·1·1·1·······11···1···1·1········11·······11··1·1·11·1··1·1111···1·1·11·11·1···1··111··11··1···11······1···1·11···11··1···1·1·11·1····1··1·1·1··1···1··1·1··· |
| out 12 (147) | ··········1·1····1··11·····1···1······11·1·1····1····11·11····1···111·1·111·······1··1·1·111······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 (157) | ····1·····1··11··1··11···11111··1··1···1·1··1··11····11··1·11··11··1··1·1··11·1···1··1··111··1··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 (147) | ··········1··11·····11····1111········1111·····1·····1·1·1111·······1·111111··1·······111111·1·········1····1111111···11···111·1·1111··1·1······1·1··1····1········111··1····1·1·1·1·1·111·············1·1······1·······1··11····1·1·111·1······1·111·1····1······1·1··1111·········11··111·1·1······111111·11·····1····111111111···11111111··11······11··1····1·········11··1·······111·1···1·11·1·········11······ |
| out 15 (127) | ··1·1·······1·11····1····1·1·1·1·1·1··1·1··1··1······1···11·1·1·1···1·1····1··1···11···1·1··1···11·1··1·1····1·11·1·······1·1··1·1····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··111··1····1·1·······1····11·1··1·1····11······1·1··11···1·1··1··11·11·1····1·11·1···1··1·11····1····1·····1·1···1·1·1·11···1·······1·1···1·1··1··1····1··1···1··1····· |
| out 16 (151) | ········1·1·111··1··11····1··1·111·1···11·1·1·1·1·····1·11·1··1·1·1·1·1·1··1··11···1··1·1·1··1···1·1··1·1·11·1·111····1··1··1·····11··1···11····1·11·1········1·1·1·····1···1·····1·1111·11·1···1······1···1··········1·1·111··1·1·1·1···1·11·11··11···1·11·1······1·1·1·1···1·11···11··1···1·11··1··1·1·1···1·1·11·11·1·1·111·1·1···1···11··1··1·····111·1·······1·1·1······1······1···1··1·111··11·1·1····1··1···· |
| 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 (147) | ···1········1····1·········1····11·1··1··11···11·····111··11111·1·1·······111······1·····1·1·1···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 (151) | ··1·1···1···1111····1····1·111·1·1·1··1·1··11·1······1··111·1·1·1··11·1··111··111·11·1···1···1··11·1··1·1····1·1··1···1···1·1··1·1··········1······1·1·11··1··1·11········111····1·11··1·1········1··1·1·11······1·1··1···1111···1··1·11·1·1··111··1····111·······1··1·11·1··1·1··1·11···11·1·11·111····1····111·11·1····1·1··11··1··1·11·········1·····1·1··11·1·1·11···········1·11··1·1·1···1··1·······11111····· |
| 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 (163) | ··111···1···1··1····1····11·1···1·1····1·11·····1··1·····1111·1·1··11·1··1·····1·····11·1··1·1··1·1···111·1··1·1··1····1··1·1··1·1·11·11·11····11·11···1··111·1·1··11·1···111····1·1·1··1·1·1··111·········11·1·1111··1···1··1···1··11·1····1·····1·1·11····1····1·····1111··1·1··1·11···1·····1···1·1·1··1·111·1·1111···1·1··1·1·1··1·11·11·1111····1111····1·1111·1····1··1····1·11··1·1···1··1··1·1111······11··1 |
| out 22 (143) | ··1·1···1···1111····1····1·111·1·1·1··1·1··11·1······1··111·1·1·1··11·1···11··1···11···1·1··1···11·11·1·1····1·1··1···1···1·1··1·1··········1······1·1·11··1··1·11········111····1·1···1···1····1····1····1···1··1·1··1···1111···1··1·11·1·1··111··1····111·······1··1·11·1··1·1··1·11····1·1·1··11···1·1··1··11·11·1····1·1··11··1··1·11·········1·····1·1··11·1·1·11···········1·11··1·1·····1····1··1···1··1····1 |
| out 23 (149) | ····1············1···1···111·1·1·1·······1111·11·····1111·11···11··11····1·11·11···1·1·111··11···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 (151) | ··111···1·1··1·1·1···1·1·111···11·····1···111···1····11·1·1·1·····11····1·1····1··1···11111·11·············1·····11···1··11····1·1·1······1·1···1·11····1··1·····11·1·1·1·11·····111111··1111········1·1··111····111··1·1··1·1·1···1111····11···1······111··1·····11·1··1·1·····1·1·····1·1····1·1···11111·1·1·········1·····111·11····11·1·····1·1···111·····1·1····11··1··11···1·1···111·1·11···1111·····11·111··· |
| 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 (149) | ··11······111··1·1········1····111····1111·11·11······1···1···11····1···1·111······1···11·1··1···1····1···11·11·1···1·1·····11·1··1·1·1··1·····1··11······1·1·11·1··11··1·1·1··1·1···11··1·11····1·······111··1·111·····111··1·1·····1·····11·1·1·11··1·1111·······1····1····11·····1···1·1·11····1···11·1··11·1··1··1·1·11·1··1·····111·1·1·1·1·····1·11······1·111·1···11··1···1··1·11·····11···1·11··1····111···1 |
| out 28 (149) | ·111···········1····11····111···11·····11·····11···1·1···111···11·11··1··1·11··1··11·1··1111·1···11····1······1111····11·1···1·1·······1····1·1···1····11······11·11·1····1·1··1·11·11··11··1··11········1·11····11··········1···1·1·111····1·1···111·····11·····11····111····111·1··1···1··11·1·111···1111··1·11··1······1111·111····11······1···11···1·····11····11·1···1······1··1·111··1·1··1·1··111·····1·11··· |
| out 29 (143) | ··1·1···1···1111····1······111·1·1·1··111··1··111····1··111·1·1·1··11·1···111·1···11·1·1·1···1···1·1··1·1····1·1··1···1···1·1··1·1··1················1··1·1···1·11········111····1·1·······1·········1·1·11·1····1·1··1···1111···1····11·1·1·1111·11····1·111·····1··1·11·1··1·1··1·11····1·111··111··1·1····1·1·11·1····1·1··11··1··1·11··1··············1···11··1·11···········1·11··1·1··········1······1111·1··· |
| out 30 (165) | ··1·····1···1111·1··11·····1·1·111·····1···11·111····11111·11·11······1··1·1··1····1·111·111·1···1····11···11··11·1····1···1·····1·1···1·······11····1····111·11·1·11·····1·11····11····1··11···111··1·1·111··1··1····11··1111·1·1·1··1··1·11·1···1·1···11111·····1111·1·11··11······1···1··1·1···11·11·111··1·1··11···11··11·1·1···1···1·1···1······11···1····11111·1···1·······1··11··11······1···11·11·111111···1 |
| out 31 (147) | ··111···1·····1111··1····1··11·11·······1111··········1111·1······1·1·1·····1·1···1····1···11···1······1···111111······1··1111······1··1·11·1········1·11········111·11···1111·1········11111·····1··1···111····1111··1·····11·1·1··1··1·1·11······11·111··········111·1·1······1···11·······11··1····1···111·1····1···111111···1·1·111····1··111·1·······1··11······11···1·1····1·1111·········1·1111····11·111···· |
| out 32 (149) | ···11·····1··11··1··1·····1111··1··1···1·1·········1·11··1·11··11··1··1·1·····11··1··1··111·····1··1····1·11··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 (143) | ··1·1···1···1111····1······11··1·1·1··1·1··1··11·····1··111·1·1·1··11·1···1·1·1···11···1·1··11··11·1··1·1····1·1··1···1···1·1··1·1··1···1···1······1·1··1·11··1·11········111····1·1··1····1····1····1···11······1·1··1···1111···1····11···1··111··1····1·11······1··1·11·1··1·1··1·11····1··11··11···1·1··1·111·11·1····1·1··11··1··1·11··1······1·····1·1···111·1·11···········1·11··1·1····1·····1··1···1·11····· |
| out 34 (47) | ········1····1···········1············11·······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···········1·1·1··············1··1···········1············1······1·········1··········1··········1···········111······ |
| out 35 (125) | ··1·····1·1·11·1·1·······11·1··111····1·11·11·1···1···1·1·1···11····1···1·1········1···11········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····11··1·11····1·1·11·1·1····11·1···11·1·1··1··1·111········1·1··1····11·····1···1·1·······1···11····1··1··1····1·11··········111·1·····1·····1·1·········11··1····1··1···1··1·11·····1·1··1·11··1··1··11···1 |
| out 36 (161) | ··········1·11···1··11···1·1···1······11·1·11··1·····11·1·····1·1·111·1·11111··1··1··1·1·111·1····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·····11··········1··1···11···1·111··1·11·1··1 |
| out 37 (155) | ··1·1···1···11·1····1·····1·····1······1·1··1··11·······111·1·1·1···1·1··1··1·········1·1·111···1·1···111····1·1··1···11··1·1··1·1·1···1·11···111·11··1····11·1·11·1······11·····1·1·1·1111·1··1·1···1·1·1·11·1·11·1··1···11·1···1···1······1·····1·1·1··1·11········1·11·1··1·1····11···1···1·······1·1·1111·1·1·111····1·1··111·1··1·11·1···111··1·1111·······111·11···········1·1···1·1···1·11·11·11·1··111·11··1 |
| out 38 (149) | ··11····111·1111·1·········1·1·····1······1·1··11····11···1···11···11···11·11·1···1···1··1·1······11··11··11·11···1····1····11·1··11···1··1·1·1·1··1·1·11·····11·1·111··1·1····1·1·····11·1····11······1·1··1····11···1·1·1111·1······1··1·····1····1··1·1·11·····11····1····11···1·1···11··111··1···1··1·1·····1111·1·1·11···1·1····111·11···1·1·11··1·1·1··11···11·1···11··1···1····11·······11··1··11····11··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 (143) | ········1·1·111··1··11····1·11··11·1····1·1·1·1·······1·11·1··1·1·1·1·1·1·····11···1·11·1····11··1·1··1·1·11·1·111····1··1··1·····11······1·····1·1··1·····1··1·1·1·····1···1·····1·11·1·11·1········1·1··11··········1·1·111··1·1·1·1·1·1··1·11···1···1·11········1·1·1·1···1·11···11··1·····11··11·1·1·····1·1·11·11·1·1·111·1·1···1···11·····1·····11··1·····1·1·1·1······1······1···1··1·1·1··11·1·····11·11···· |
| out 41 (141) | ····1···1····11··1···1···1··1···1··1··111······11·····11··11···11··11·····1·1·········11···111·····1···11··111···1········111··1···1···1····1··11··1···11·1·1··11··11······1·1···11·1···1···11··11···1·1·1·11·1····1··1····11··1···11··1····1··11·111······11······11···11····11··1·1·····1··1·······11···11·1···1·11··111···1····1·11·1··1···1···1··11·1····111·1·11····1·········1·1·11··1····1····1·11··111·11··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 (157) | ···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····1·11··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 (157) | ··111···1·1·1·11·1········1····111····1·11·1··11···1··1···11··11····1···1·11···1···1····1·1··1··11····1···11·11·······11····11·1··1·1·1··1·····1··1····1··1·1·11····111·1·1·1··1·1···111···11····11······1111·1·1111··1·1·1·11·1·····1·····11·1·1··1··1·1·11·····1·1····11···11·····1···1·1·1··1··1····1·1··1111··1··111·11····11····111·1·1·1·1·····1·1·····1·1·111·····11·11···1··1·11·····111····11··1·1··1111··1 |
| out 45 (161) | ···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··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 (151) | ··111·······1111····1····1·111·1·1·1··111··1··1····1·1··11111·1·1··11·1···1···11·111·1·1·1······11·1··1·1·1··1·11·1···1···1·1··1·1··········1········1··1··1··1·1·····1···111····1·1··11·1·11········1·1··1······111······1111···1··1·11·1·1··111·11····1·1······11··1·1111··1·1··1·11····1···11·111··1·1·····11·11·11···1·11·11··1··1·11·········1·······1···1·1·1·1·······1····1·11··1·1····11··1·11·····11·1····· |
| out 47 (141) | ··1·········1·11·1··11····1·1·1····1··1·111·1···1·····1111·11·11···1··1··11·1··1··1··1··1·········11··1····11··1·11···11···1·····1··1·····1·1·1···1····11·1···11·1··1·····1··1····1111····1····1··1··1···1··1···11········1·11·1·1·1·1·1·······11··1··11·1··1······111·1·11··11···1··1···11··1·1·1·1···1····1···111····11··1·1111···1···1··1····1·11···1·····111··11·1···1·······1···1··11·1·1·····1··1···11·1··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······111·1·1·1··1·1··11·1·1····1··11111·111··11·1··111··1···11···1·1··1···11·1··1·1····1·11·1···11··1·1··1·1··1·······1······1·1·11·····1·11····1···111····1·11··1···1····1····1····1······1·1······11·1···1····11·1·1··111··1····111·1·····1··1·1111··111··1·11···11·1·1··11···1·1··1··11·11·1····1·11·111·1··1·11··1······1·····1·1··11···1·11······1··1·1·11··1·1·1···1····1··1···1··1····· |
| out 50 (157) | ··11······1·1·11·1········1····111····1111·11·1·1·····1···111·11····1···111·1······1···11·1··1···1····1···11·11·1·····11····11·1··1·1·1··1·····1··11·······11·11·1··11111·1·1··1·1··11···1·11····1·······111··1·111·····1·1·11·1·····1·····11·1·1·11··1·111·1······1····111··11·····1···111··1····1···11·1··11·1··1··1·1·11·1··11····111·1·1·1·1·····1·11·······1111·1···11·11···1··1·11···1·1····1·11··1····111···1 |
| out 51 (151) | ··1·1·······11·1····1······111·1·1·1··1·1··11·1·1··1·1··111·1·1·1··11····111··11··11·1···1··11··11·1··1·1····1·11·1···11··1·1··1·1··1·······1······1·1·11·····1·1·········111···11·11··1·1·1······1··1···11······1·1······11·1···1····11·1·1··111··1····111·1····11··1·11·1··1·1··1·1····11·1·11·111····1··1·111·11·1····1·11·111·1··1·11··1······1·····1·1··11···1·1············1·11··1·1·1···1··1·1·····11·11····· |
| out 52 (143) | ··1·1···1···1111····1····1·111·1·1·1··11···1··11·····1··111·1·1·1··11·1···11··1···11·····1···1··11·1··1·1····1·1··1···1···1·1··1·1··········1········1··1·11··1·11········111····1·1···1···1····1·1··1·1·11······1·1··1···1111···1··1·11·1·1··111·1·····1·11······1··1·11·1··1·1··1·11····1·1·1··11·····1····111·11·1····1·1··11··1··1·11·········1······11···111·1·11···········1·11··1·1·····1····1··1··11111····· |
| out 53 (149) | ··1·····1·1··111··········111··1···1···11·11···11····1·1····1··11·1·1···11·1··1········11111·1·····1···11·1·11··1·1······1·11····11····1··1····1··1·······1·1··111111···1·1··1·····111·11·11····111·······1···1··1····1·1··111·······111···1···1··111··11··11·····1·1·····1···111···1···11··1·1·······11111··1···1·111··11··1·1··1··11··11····1·1····1·1·······1·1·1111··1···1···1···1···1·1·1·111·11··11·1···1····1 |
| out 54 (155) | ··········1·1····1··11··1··11··1······11·1·11········11··1·1··1·1·1·1·1·111·······1··1·1·111······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 (155) | ··111·····1··111·1···1···1··11···1·1····11····1·1··1··1·1·1·1·····11····11····11···1·11····1····1111···1···1····111···11·11····1·11·1··1·1····11·····1····1·1·····111·1·1·11·····1111··11······1·1···1·1····1·1·1111····1··111·1···11··1·1····11···11·1···1·1····1·1·1··1·1·····1·1·····11····11··11·1····1·1·1111·1···1····1111111····111·1··11···1·1····1····1·1····1··1··11···1·1···111·1···11·····1·11·11···1··1 |
| out 56 (149) | ··11····1···1·11·1········1····111····1111·11·11······1···1···11····1···1·11···1···1···11·1·····11····1···11·11····1··11····11·1··1·1·1··1·····1··11······1·1·11·1··11··1·1·1··1·1···111···11····1········111·1·111···1···1·11·1·····1·····11·1·1·11··1·1111·······1····1····11·····1···1·1·1··1··1···11·1··1·11··1··1·1·11····11····111·1·1·1·1·····1·11······1·111·1···11··1···1··1·11·····111····11··1·····111··1 |
| out 57 (149) | ··1····11·1··111·············1··11····1··1····111······1···11··11·1·1···11111·1···11··1······1···11·····1·1·1···1·1······1·11····1111····1··1·1·1····1·11··1···1111·1·1·1·1··1·····1··11·1··1··1··1····1·1·11···11····1·1··111···········1··1·1·1·····1···111·······1····11···111···1···111·111··11··1······11·11···11··1···1·1··1··11··1111···1··11··1···1··11·1··1111··1··11···1···1···1····11··1··11···1·11·11··· |
| out 58 (149) | ··11······1·1··1·11·······1····111····1·11·1··11···1··1···11··11····1···1·111··1···1·1·11·1··1···1····1···11·11·1·····1······1·1··1·1·1··1·····1··1····1··1·1·11····111·1·1·1··1·1···11····11···11·······111··1·111·····1·1··1·1·····1·····11·1·1··1··1·1·11·····1·1····11···11·····1···1·1·11·1··11··11·1··11·1··1··1·1·11·1··1······11·1·1·1·1·····1·1·····1·1·111·····11·11···1··1·11·····11·····11·11····111···1 |
| out 59 (125) | ····1·········1··1···1···1··1···1·····1·1·············111·11···11···1·····1·1·····1···11···1····1··1···11··111··11····1···111··1···1···1····1··11······11··11··11··1·······111···11·1···1···1···11···1·····1··1····1········1··1···11··1····1···1··11··············111··11····11····1·····1··1···1···11···1···1··1·11··111··11·1··1·11·1··1···1···1·111······11·11·11··············111·11··1····1····1·11··1···1···1 |
| out 60 (149) | ···11·····1··11··1··1·····1111··1··1···1·1···········11·11·11·111··1··1·1··1··11··1·····111·1······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 (143) | ··111··········1·1··1····111·····1·1··11······111··1·111·1········11··1··1111··1···1·11111···1··1111·······11111·········11111·····1··········111·1·········1·····1·11····11·111·····1·1·1·····1·1·······1··1·1··111·········1·1·1··111·······111·1·······111····1111··1········1·1··1···11·11·1··11·1111····11111·····11111·····11·111···1········1·111·········1····1··11······1·1·11······1·1··1···1·1····1··1··1 |
| out 63 (159) | ··111·······1111····1······111·1·1·1··1·1··11·1····1·1··11111·1·1··11·1···11··11··11·1···1···1··11·1··1·1·1··1·11·1···1···1·1··1·1··1·····1·1······1·1·11··1··1·1·····1···111····1·1···1·1·1······1··1·1·11······111······1111···1····11·111··111··1····111······11··1·1111··1·1··1·11····1·1·11·111····1····111·11·11···1·11·11··1··1·11··1····1·1·····1·1··11·1·1·1·······1····1·11··1·1·····1··1·1·····11111····· |
| out 64 (151) | ··1·1···1···1111····1······111·1···1··111··11·1·1····1··111·1·1·1··11·1··1111·11··11·1···1··11···1·1··1·1····1·1··1···1···1·1··1·1··1·······11·······1·11·····1·11········111····1·11····1·1······1··1···11·1····1·1··1···1111···1····11·1·1···11·11····111·1·····1··1·11·1··1·1··1·11···11·1111·111····1··1·1·1·11·1····1·1··11··1··1·11··1······1·······1··11···1·11···········1·11··1·1·1······1·1·····11·11·1··· |
| out 65 (163) | ··111·······11·1····1····11·1···1········11·····1··1····11111·1·1···1·1··1·····1·····11·1··111··1·1···111·1··1·11·1···11··1·1··1·1·11·11·11···111·1····1··111·1·1··1··1···11·····1·1·1··1···1··111·····1···11·1·1111······11·1···1··11·1····1·······1·11····1····1···1·1111··1·1····11···1·····11··1·1·1··11111·1·1111···1·11·111·1··1·11·11·1111··1·111·····1·1111·1·······1····1·1···1·1···1··1····1111···1··11··1 |
| 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 (165) | ··1·····1···11·1·1··11·····111·111·····1···1··111····111·1·11·11···1··1····1··1····1·111·111·1···1·1··11···11··1111········1·····1·1··11·······11····1·1··111·11·1·1······1··1····111···1··11···111··1·1·111··1··1····1···11·1·1·1·1··11·1·11·1···1·1···1·111·····111··1·11··11···1··1······1·1···11·11·111··1·1·111···11··1111·····1···1·1··11······11···1··1·11111·1···········1···1··11·1····1···11·11·111111··11 |
| out 68 (151) | ··1·1···1·1··1·1·1···1···1111··11·····1···111········11·1·111·····1·····1·1····1··11··11111··1············11·····11···1··11····1·111··1···1·1···1·11····1········11·1···1·111····111111··1111·1······1····111····1·1··1·1··1·1·1···11111···11···1······111········11·1··111·····1·······1·1····1·11··11111···1·······1·1·····111·11····1111··1··1·1···111·····1······11··1···1···1·11··111·1·11···1111·····1··111··· |
| out 69 (173) | ··1·····1···1·11·1··11···1·1·1·111·····1···11·11·····11·11·11·11···1··1··1·11·1····1·111·111·1··11····11···11··1111···11···1·····1·11··1·······11····1····1·1·11·1·11·····1··1····11···11··11···111··1·1·1111·1··1····1···1·11·1·1·11·1··1·11·1···1·1···1111······11·1·1·11··11···1··1···1··111···11·11·111··111··11···11··111111···1···1·11··1······11···1····1·111·1··11·······1···1··11·····11···11·11·1111111··1 |
| out 70 (159) | ··111·······1111····1······111·1·1·11·1·1··1··11···1·1··11111·1·1··11·1···1·1·11··11·1·1·1··11··11·1··1·1·1··1·11·1···1···1·1··1·1··1·······1··1···1·1··1·11··1·1·····1···111····1·1··1··1·1·········1···11······111······1111···1····11·1·1··111··1····1·11·····11··1·1111··1·1··1·11····1··111·111··1·1··1·111·11·11···1·11·11··1··1·11··1······1··1··1·1···111·1·1·······1····1·11··1·1····1···1·1······1·11····· |
| out 71 (163) | ········1····11···········1111·111·1··1111111·1·1··1·1··1··1·······1·····111··11··11·11111·1·1···111···1········1·····11···········11··1·11·1·111·1··1··1·1·1····1·11·1·····1······1·1·11·111··1·1···1·1··111·1·1·····1····11········111·1·11·111·111·11111·1····11··1···1········1····1·11·1·11·111·1111·1·11·111·1········1··11·········11··111·11·111··1···11·1···1···1··1·······1····1···1·11··1111·1··11·111··1 |
| out 72 (157) | ··11····1·1··1·1·········1111··1···1····1·111··1····11·11··11··11·111···1···············11·111·····1···11···11··1·1····1·1·11····11·1··1··1····1··11···1··111··111·1··1·1·1·11·····1·1111·11····11···1·1··1···1··11···1·1··1·1······1111···1···1···11··111·1······1·11···11···111·1·1···1··············11·11·1···1·11···11··1·1·11··11··11·1··1·1····1·11····1·111·111······11···1··11···1···1111··11··11··11·1····1 |
| out 73 (163) | ········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···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 (147) | ··1·1···1·1···11·1···1···1··11···1·1···111····1·······1···1·1·····11····11·1··1····1·1····111····111···1··11·····11····1·1·····1·11·1··1·1····11···1·1····111····111··1·1·11·····1111·1111·····1·1············1·11·1··1·1···1111···11··1·1····11··111·1···1········1····1·1·····1·1·····11··1·1···11·····1111··111·1·1·1·····11·11·····111·1··11···1·1··1·1····111···11·····11···1·1···111·1··111·1···1·1··········1 |
| 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 (141) | ··1·······1····1·········1··11··11····1··1····11·······11···1··11·1·1···1·11··1···11··1······1···11·····1·1·11····1···11·1·11····111··1··1··1·1·1····1·11···1··1111·····1·1··1·····11·1··1··1··1··1····1·1·11···11······1····1······1··1·1··1·1·1·····1···11·1······11····1···111···1···1·1·1·1··11··1······11·11···11··11····1111··11··111··1·1··11··1···1··11··1·1111······1···1···1···1·1··1···1··11···1·11·11··· |
| out 77 (143) | ··111···1·1····1·1···1···111···11·····11··111········11·1·1·1·····1··1··1·1····1··1···11111··1··1··········1·····11······11····1·111······1·1···1·1·····1········11·1·1·1·111··1·111111··1111········1····11·····111··1·1····1·1···1111····11···1·1····111········11·1··1·1·····1·······1·1····1·1···11111···11········1·····11··11····1111·····1·1···11······1······11··1··11···1·11·1111·1·11···1111·····1··11···· |
| out 78 (155) | ··1·······1·1··1·1········1·1··111····1111·1··111····11·1·11··11···11···1·1·1······1···11·1·11···1····1····1·11·1·····1·····11·1··1·1····1·····1··111··1··111·11·1·1·11·1·1····1·1···1···1·11····1·····1·111··1·11······1·1··1·1·····1·1···11·1·1·111·1·1·111·····11·1··11···11···1·1···1·1··1····1···11·1·111·1··1····1·11·1··1·····111·1·1···1·····1·11····1·11111·1····1·11···1····11·····1····1·11··1···1111···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 (141) | ··1·······1···11··········1·1··1···1···11·11····1····1·11···1··11·111···11·1···········11111·······1···11·1·11····1···1··1·11····11··1·1··1····1··1·········1··11111····1·1·11·····111·11·11····111······11···1··1······1···11·······1·1···1···1··111··11···1·····1·11····1···111·1·1···11··1·········11111······1·111··11····11·1··11··11····1·1····1·1·········1·1111······1···1··11···1·1·1·11··11··11·1··11····1 |
| out 81 (151) | ··1·1···1···11·1····1·1··1·111·1·1·1··111··11·1·1··1·1···11·1·1·1··11·1··1111·11··11·1···1···1··11·1··1·1····1·1··1···11··1·1··1············1········1·11·····1·1···1·····111····1·11····1·1······1··1·1·11······1·1··1···11·1···1··1·11·1·1··111·11····111·1····11····11·1··1·1··1·11···11·1111·111····1····111·11·1····1·1··111·1··1·1··········1·······1··11···1·1····1·······1·11··1·1·1······1·1·····11111····· |
| 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 (151) | ··111·······1111····1····1·111·1·1·1··1·11·11·1·1··1·1··11111·1·1··11·1···11··1···11···1·1······11·1··1·1·1··1·11·1···1···1·1··1·1··········1······1·1·11·····1·1·····1···111····1·1···1···1····1····1·1··1······111······1111···1··1·11·1·1··111··1··1·111·1····11··1·1111··1·1··1·11····1·1·1··11···1·1·····11·11·11···1·11·11··1··1·11·········1·····1·11·11···1·1·······1····1·11··1·1·····1····1··1···11·1····· |
| out 84 (141) | ··1·····1·1·1·11·1········1····111····1·11·1··1·1·········11··11····1···111·1······1····1·1······1····1····1·11·······11····11·1··1·1·1··1·····1··1····1···11·11·1··111·1·1·1··1·1··11···1·11····11·······11··1·11····1·1·1·11·1·····1·····11·1·1··1··1·1·1·1···········11···11·····1···111··1····1····1·1··1··1··1····1·11····11····111·1·1·1·1·····1·1·····1··1111·1·1·11·11···1··1·11···1·1····1·11··1·1···11···1 |
| out 85 (157) | ···1····1·1·········11·········111·1······11··1·1··1···1·1111······11·1·1···1·····11·1·1····1····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) | ··111········1·1·1··1····111·····1·1··1·······1·1··1·111·1········1·1·1··1111··1···1·11111··1···1111·······11111······1··11111·1···1··········111·11······1·1·····1·11····1111·1·····1·1·1·····1·1·····1····1·1··111·······1·1·1·11·111·······111·········1·1····1111··1········1···11···11·11·1··11·1111··1··1111·····11111···1·11·1111··1········1·1111······1·1····1··11······1·1111······1·1··1···1·1···1···1··1 |
| out 87 (141) | ····1···1····11··1···1··········1··1··111····1·1······11··11···11··11·····1·1·····1··11···1111·····1···11··111···1········111··1···11·11····1··11··1···1··111··11··11······1·1···11·1···1···1····11····1·1·11·1····1··1····11··1···1········1··11·111······1·······11···11····11··1·1·····1··1···1·1·1···111·1···1·11··111···1····1·11·1··11·11···1··11·1····1·111·11····1·········1·1·11··1····1····1··1·1·11·11··1 |
| out 88 (149) | ··11······1·1····1········1····111····1111·1··111·····1·1·11··11····1···1·1·1··1···1···11·1··1···1····1···11·11·1·····1·1···11·1··1·1·1··1·····1··11···1··111·11·1···11·1·1·1··1·1···1·····11····1·······111··1·111·····1·1····1·····1·····11·1·1·11··1·1·111······1·1··11···11·····1···1·1··1·1··1···11·1··11·1··1··1·1·11·1··1·····111·1·1·1·1·····1·11····1·11111·1····1·11···1··1·11·····1······11··1····111···1 |
| out 89 (149) | ··1·····1·1··111·········111···1···1····1·11···11····1·1····1··11·1·1···11··············11·1·1·····1···11·1·11··1·1······1·11····11·1·11··1····1··11·1····1·1··111111···1·1··1·····111111·11····11···1····1···1··1····1·1··111······111····1···1···111·11··11·····1·1·····1···111···1···11·············11·1··1···1·111··11··1·1··1··11··11·1·11·1····1·11·1····1·1·1111··1···1···1···1···1·1·1111··11··11··1··1····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 (141) | ····11····1··11··1··1····111·1··1··1···1·1··1··1·····11··1··1··11·····1·1··11·1···1·····11···1··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 (157) | ···11·····1·111·····1····1·11··11··1···111·11··1···1·1·1·111··11··11··1·1··1···1·····11··11··1··1·11··1·····1··11······1·111···1··111····1····1·1··········1··11·11···1·1··111···1··1··1···11··1·1·······1111···1·11····1·111····1··1·11···11··1··11··1·11·1·····11·1··111···11·1·1··1··1···1··1···111··11··111·111·····1··11···111·1··1·111···1···1··1·········1·11·11·····11·····111·1···1···1····111·1····1111··· |
| out 93 (143) | ··1·1···1···1111····1······111·1·1·1··1·1··1··1·1····1··111·1·1·1··11·1··1111·1···11···1·1··1····1·1··1·1····1·1··1···1···1·1··1·1··1··1····1······1·1··1·····1·11········111····1·11······1····1····1····1·1····1·1··1···1111···1····1111·1··111··1····1·1·1·····1··1·11·1··1·1··1·11···11·111··11···1·1··1···1·11·1····1·1··11··1··1·11··1··1···1·····1·1···1···1·11···········1·11··1·1·1········1··1···1··1·1··· |
| out 94 (149) | ··1·1···1····11··1···1···111·1·1·1·····1·111··11···1·1111·1····11··11······1··1····1·1··111··1··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 (155) | ··1·1·······11·1·········11·····1········11·1···1··1·····1111·1·1··11·1··1·····1·····11·1··1·1··1·1···111····1·11·1···11··1·1·11·1·11··1·11···111·1·······111·1·1··11·1···111····1·1·1··1·1·1··111·········11·1·11·1······11·1······11······1·······1·11·1··1····1·····1111··1·1··1·11···1·····1···1·1·1··1·111·1·111····1·11·111·1··1·11·11··111··1·111·······1111·1····1··1····1·11··1·1···1··1··1·1111······11··1 |
| out 96 (143) | ··1·1·1·····1111····1····1·111·1·1·1··1·1··1··1·1····1···1111·1·1··11·1···11··1···11···1·1··1····1·1··1·1···11·11·1···1···1·1··1·1··········1······1·1··1·····1·11··1·1···111····1·1···1···1····1····1····1·1····1·1······1111···1··1·11·1·1··111··1····1·1·1·····1····1111··1·1··1·11····1·1·1··11···1·1··1···1·11·1···11·11·11··1··1·11·········1·····1·1···1···1·11···1··1····1·11··1·1·····1····1··1···1··1·1··· |
| out 97 (143) | ··111·······1111····1····1·111·1·1·1··111··1··1··1···1···11·1·1·1··11·1···11··1···11···1·1······11·1··1·1·1··1·11·1···1···1·1··1·1··········1········1··1··1·11·11··1·····111····1·1···1···1····1····1·1··1······111······1111···1··1·11·1·1··111·11····1·1···1···1····11·1··1·1··1·11····1·1·1··11···1·1·····11·11·11···1·11·11··1··1·11·········1·······1···1·1·1·11···1·······1·11··1·1·····1····1··1···11·1····· |
| out 98 (149) | ··1·····1·1··1·1············11··11····1··1····11·······1····1··11·111···1·111·1···11··1······1·1·11·····1·1·11··1·1····1·1·11····1111·1··1··1·1·1····1·11······1111·1···1·1·11·····11·11·1··1··1··1····1·1··1···11····1·1··1·1·········1·1··1·1·1·····1···11········1·····1···111·1·1···1·1·111··11··1······11·11···11··11··1·1·11··11··1111·1·1··11··1···1··11····1111··1···1···1··11···1·1··11··1··11···1·11··1··· |
| out 99 (151) | ··111···1···11·1····1······111·1·1·1··111··1··1·1····1···11·1·1·1··11·1·1·111·11··11·1···1···1···1·1··1·1·1··1·1··1···11··1·1··1·1··1·······1········1··1·····1·11··1·····111····1·1·····1·1······1··1·1·11·1····111··1···11·1···1····11·1·1··111·11····1·1·1·····1····11·1··1·1··1·11··1·1·1111·111····1····1·1·11·11···1·1··111·1··1·11··1······1·······1···1···1·11···1·······1·11··1·11·······1·1·····11111·1··· |
| check 100 (250) | ··111···1·111·11·1··11····11·1·111·1··111111··1·11·1··11·11111111·111·1·1·1···1···11·11111111····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 (156) | ··111······1··1··1···1···1·1·1·1·1·1·····11·1··11········11111·1··1·····111···1···11·1111··111····1···111·1··1·11·1···11·1·1·1····1···1·····1···1·1········11·1·11·11·1·····11·1··1·1·11···1······1····1···1··1·1111·····1··1··1···11·1··1·1··11····1·11·1·11··········1111·1·1·1·······111···1··111·111··1111··1·1111···1·11·1111··1·1··1···1····1···11········111·11···1··1·······111·1··1··11····1·····1·1··1···1 |
| check 102 (174) | ··111···1····1·1·1··1·······11·11······111111···11·1·1··1·1·11111··1····1·111··1···1·11·111··1···111·······111111·····1··11111·········1·11·1······1·1··1··1··1111·11·1·1···1····11111·1·1·····1·11··1···1····1··111··1····1·1·1·1·····1·1·11·····111·1111··1·1··11··1··1·1·1111··1·····1·1·11·1··11·1·111···1·111·····111111··1·11·111·······111·1·····1·1···1·1·1111···1··11······1··111·1·1·1··1···1·1·11·1·····1 |
| check 103 (248) | 111··111111111111·1111111··1·111·11·1111··1··111·11·1···1···11···1··1111···1·1··111111··11·1·1111·1·111111·1111·1·11111111··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··11·11·1111111·1111·1·11111·1·111····11111····11· |
| check 104 (162) | 11···1·11·1·111·1·1·11·1·1·1··11··1·1·11·····1·····111·····1·······11·11·····1·11·1·11·1·111111···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···11·1·1·······1·1·1········11··111··1··· |
| check 105 (196) | ·11111···1··11·1···11111·1····1·1···1·111·1·11·11·11···11··11·1·1··1·11·1·11··11·11····11·1·11·11·1·1·11··111····111··11··11··1··1···11·111···1······1··1··11·111··111·11·1111··1·1····1·11··1·1·1·11···1···1····11··1··1·1·1111···1111··1···1·111·1·111···1·1··11111111·1·1·11··1·····1··11·······11·1·11···1··111·111·1·11·1·····11·1··1··11··111111·11··1·1····1····1·1·····111···11·111··111·1·1·111····1··1··11 |
| check 106 (190) | ·····1··11····1·1····111····1·1·1·1·1·1··1··1··1····1··11······1111·1··1111··11···1·1111··111····1··1··1111111··1··1··1·1··11···1··11·1·1···11·11···11··11·····111·····11····1····11····11··1·1·1····11·1··1111··111···11···1111··1·····11··1·111··1·1···11·11···11111··1111··11·11·1·11·11··1·1·11·111·····1···11·11·1·11···111·11111·11111··11··111·1··1·1··1111·11·11···11····11111·1··1····1·1···11·1···1··1111· |
| check 107 (166) | ···1··11111··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··1111·1······11·1·111·······1····1·1111··111· |
| check 108 (212) | ···1····1·11·1111111··11·11··1··11·1·1111···11··1··1·11·11·1·11·111··1·11·····11···1·11··1·1··11·1111·111··1·1·111··111·1····11·11·11·1···1······111111·11····1·1111····111·1·111···11·1·11·1······11111111··11·1·1···1·1·1···1·111111···1··1·11·1···1111·11·1···111·1·1·1····1··1111111······11··11··11·1·1·11···111··1·1·111··111111·1·111·1··1·····1··1·111·1111·111······1111·11·1·11111·1·1··11·1···11····1111· |
| check 109 (198) | ··1·····1·1··1·1········111·111··11111111··1·111·······1····1··11·111···1····1·1111111······1111··111···1·1·11··1·1····1·1·11····11111·11111·11·111·1·1·11111··1111·1···1·1·11·····1·111·11·1111·1·111111··1·1··11····1·1··1·1········1·1·1111···1··1111·1··11······1·····1···111·1·1···1111111·1···1111111···11····11··11··1·1·11··11··11··11···11·11··111111·····1111··1···1···1··11···1·11···11··1··1·11··11·1111 |
| check 110 (204) | ········1···11···1········1··1·1·······11··1···1111·11111·11·11·111·1111·····11·11·1111··1111·11····1·111·111·····1···11·1·1·1·1·1·1··1·····1·111·11·1··1··111111··11111·11·111·111111·11···111·11·11·1·1··111··1···1·1···11···1·····1···1·1······11····1··11··111····11··11··1··111··11111111·111··1·11·····111111111·11·····1111··1·111·1··1····11·1111·1···1·11···1111··1·1111·11··1···1·1·1··1111·1··111111··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 n404Noisy T states per run.
outputs k100
distance d3Exact, proved and witnessed here.
error coefficient A_{3}4,900Faults 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 N111
checks r11
V_{\mathrm{ex}}100T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d1.2709Overhead per extractable T state. Lower is better.
\gamma = \log(n/k)/\log d1.2709Overhead 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 108 single-wire gates and 1686 \mathrm{CZ} gates: \mathrm{S}^\dagger on output 0, \mathrm{Z} on output 1, \mathrm{Z} on output 2, \mathrm{Z} on output 3, \mathrm{Z} on output 4, \mathrm{Z} on output 5, \mathrm{S} on output 6, \mathrm{Z} on output 7, \mathrm{Z} on output 8, \mathrm{Z} on output 9, \mathrm{S} on output 10, \mathrm{S}^\dagger on output 11, \mathrm{S}^\dagger on output 12, \mathrm{Z} on output 13, \mathrm{S}^\dagger on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S}^\dagger on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S}^\dagger on output 21, \mathrm{S} on output 22, \mathrm{Z} on output 23 and 1770 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.
All 1794 correction gates
\mathrm{S}^\dagger on output 0, \mathrm{Z} on output 1, \mathrm{Z} on output 2, \mathrm{Z} on output 3, \mathrm{Z} on output 4, \mathrm{Z} on output 5, \mathrm{S} on output 6, \mathrm{Z} on output 7, \mathrm{Z} on output 8, \mathrm{Z} on output 9, \mathrm{S} on output 10, \mathrm{S}^\dagger on output 11, \mathrm{S}^\dagger on output 12, \mathrm{Z} on output 13, \mathrm{S}^\dagger on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S}^\dagger on output 18, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S}^\dagger on output 21, \mathrm{S} on output 22, \mathrm{Z} on output 23, \mathrm{S} on output 24, \mathrm{S} on output 25, \mathrm{S} on output 26, \mathrm{Z} on output 27, \mathrm{Z} on output 28, \mathrm{S} on output 29, \mathrm{Z} on output 30, \mathrm{S}^\dagger on output 31, \mathrm{Z} on output 32, \mathrm{S} on output 33, \mathrm{S} on output 34, \mathrm{Z} on output 35, \mathrm{S}^\dagger 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{Z} on output 43, \mathrm{Z} on output 44, \mathrm{S} on output 46, \mathrm{Z} on output 47, \mathrm{S} on output 48, \mathrm{S} on output 49, \mathrm{Z} on output 50, \mathrm{S} on output 51, \mathrm{S} on output 52, \mathrm{Z} on output 53, \mathrm{S}^\dagger on output 54, \mathrm{S}^\dagger on output 55, \mathrm{Z} on output 56, \mathrm{Z} on output 57, \mathrm{Z} on output 58, \mathrm{Z} on output 59, \mathrm{Z} 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}^\dagger 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{S}^\dagger on output 71, \mathrm{Z} on output 72, \mathrm{S}^\dagger on output 73, \mathrm{S}^\dagger on output 74, \mathrm{S} on output 75, \mathrm{Z} on output 76, \mathrm{S} on output 77, \mathrm{S}^\dagger 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{Z} on output 84, \mathrm{Z} on output 85, \mathrm{S} on output 86, \mathrm{Z} on output 87, \mathrm{Z} on output 88, \mathrm{Z} on output 89, \mathrm{S} on output 90, \mathrm{Z} on output 91, \mathrm{Z} on output 92, \mathrm{S} on output 93, \mathrm{Z} on output 94, \mathrm{S}^\dagger on output 95, \mathrm{S} on output 96, \mathrm{S} on output 97, \mathrm{Z} on output 98, \mathrm{S} on output 99, \mathrm{S}^\dagger on check 100, \mathrm{Z} on check 101, \mathrm{S} on check 102, \mathrm{S}^\dagger on check 104, \mathrm{Z} on check 105, \mathrm{S} on check 106, \mathrm{S} on check 107, \mathrm{Z} on check 108, \mathrm{S} on check 109, \mathrm{Z} on check 110, \mathrm{CZ} on output 0, output 1, \mathrm{CZ} on output 0, output 2, \mathrm{CZ} on output 0, output 3, \mathrm{CZ} on output 0, output 4, \mathrm{CZ} on output 0, output 5, \mathrm{CZ} on output 0, output 7, \mathrm{CZ} on output 0, output 8, \mathrm{CZ} on output 0, output 9, \mathrm{CZ} on output 0, output 13, \mathrm{CZ} on output 0, output 23, \mathrm{CZ} on output 0, output 27, \mathrm{CZ} on output 0, output 28, \mathrm{CZ} on output 0, output 30, \mathrm{CZ} on output 0, output 32, \mathrm{CZ} on output 0, output 35, \mathrm{CZ} on output 0, output 38, \mathrm{CZ} on output 0, output 41, \mathrm{CZ} on output 0, output 43, \mathrm{CZ} on output 0, output 44, \mathrm{CZ} on output 0, output 47, \mathrm{CZ} on output 0, output 50, \mathrm{CZ} on output 0, output 53, \mathrm{CZ} on output 0, output 56, \mathrm{CZ} on output 0, output 57, \mathrm{CZ} on output 0, output 58, \mathrm{CZ} on output 0, output 59, \mathrm{CZ} on output 0, output 60, \mathrm{CZ} on output 0, output 67, \mathrm{CZ} on output 0, output 69, \mathrm{CZ} on output 0, output 72, \mathrm{CZ} on output 0, output 76, \mathrm{CZ} on output 0, output 80, \mathrm{CZ} on output 0, output 82, \mathrm{CZ} on output 0, output 84, \mathrm{CZ} on output 0, output 85, \mathrm{CZ} on output 0, output 87, \mathrm{CZ} on output 0, output 88, \mathrm{CZ} on output 0, output 89, \mathrm{CZ} on output 0, output 91, \mathrm{CZ} on output 0, output 92, \mathrm{CZ} on output 0, output 94, \mathrm{CZ} on output 0, output 98, \mathrm{CZ} on output 0, check 102, \mathrm{CZ} on output 0, check 105, \mathrm{CZ} on output 0, check 106, \mathrm{CZ} on output 0, check 109, \mathrm{CZ} on output 0, check 110, \mathrm{CZ} on output 1, output 2, \mathrm{CZ} on output 1, output 3, \mathrm{CZ} on output 1, output 4, \mathrm{CZ} on output 1, output 5, \mathrm{CZ} on output 1, output 7, \mathrm{CZ} on output 1, output 8, \mathrm{CZ} on output 1, output 9, \mathrm{CZ} on output 1, output 11, \mathrm{CZ} on output 1, output 12, \mathrm{CZ} on output 1, output 13, \mathrm{CZ} on output 1, output 14, \mathrm{CZ} on output 1, output 18, \mathrm{CZ} on output 1, output 21, \mathrm{CZ} on output 1, output 23, \mathrm{CZ} on output 1, output 27, \mathrm{CZ} on output 1, output 31, \mathrm{CZ} on output 1, output 32, \mathrm{CZ} on output 1, output 35, \mathrm{CZ} on output 1, output 36, \mathrm{CZ} on output 1, output 37, \mathrm{CZ} on output 1, output 43, \mathrm{CZ} on output 1, output 44, \mathrm{CZ} on output 1, output 45, \mathrm{CZ} on output 1, output 47, \mathrm{CZ} on output 1, output 50, \mathrm{CZ} on output 1, output 54, \mathrm{CZ} on output 1, output 55, \mathrm{CZ} on output 1, output 56, \mathrm{CZ} on output 1, output 57, \mathrm{CZ} on output 1, output 58, \mathrm{CZ} on output 1, output 60, \mathrm{CZ} on output 1, output 65, \mathrm{CZ} on output 1, output 71, \mathrm{CZ} on output 1, output 73, \mathrm{CZ} on output 1, output 74, \mathrm{CZ} on output 1, output 76, \mathrm{CZ} on output 1, output 78, \mathrm{CZ} on output 1, output 84, \mathrm{CZ} on output 1, output 85, \mathrm{CZ} on output 1, output 88, \mathrm{CZ} on output 1, output 91, \mathrm{CZ} on output 1, output 92, \mathrm{CZ} on output 1, output 94, \mathrm{CZ} on output 1, output 95, \mathrm{CZ} on output 1, output 98, \mathrm{CZ} on output 1, check 100, \mathrm{CZ} on output 1, check 101, \mathrm{CZ} on output 1, check 103, \mathrm{CZ} on output 1, check 104, \mathrm{CZ} on output 1, check 105, \mathrm{CZ} on output 1, check 108, \mathrm{CZ} on output 1, check 109, \mathrm{CZ} on output 1, check 110, \mathrm{CZ} on output 2, output 3, \mathrm{CZ} on output 2, output 4, \mathrm{CZ} on output 2, output 5, \mathrm{CZ} on output 2, output 7, \mathrm{CZ} on output 2, output 8, \mathrm{CZ} on output 2, output 9, \mathrm{CZ} on output 2, output 11, \mathrm{CZ} on output 2, output 12, \mathrm{CZ} on output 2, output 13, \mathrm{CZ} on output 2, output 14, \mathrm{CZ} on output 2, output 18, \mathrm{CZ} on output 2, output 21, \mathrm{CZ} on output 2, output 23, \mathrm{CZ} on output 2, output 27, \mathrm{CZ} on output 2, output 31, \mathrm{CZ} on output 2, output 32, \mathrm{CZ} on output 2, output 35, \mathrm{CZ} on output 2, output 36, \mathrm{CZ} on output 2, output 37, \mathrm{CZ} on output 2, output 43, \mathrm{CZ} on output 2, output 44, \mathrm{CZ} on output 2, output 45, \mathrm{CZ} on output 2, output 47, \mathrm{CZ} on output 2, output 50, \mathrm{CZ} on output 2, output 54, \mathrm{CZ} on output 2, output 55, \mathrm{CZ} on output 2, output 56, \mathrm{CZ} on output 2, output 57, \mathrm{CZ} on output 2, output 58, \mathrm{CZ} on output 2, output 60, \mathrm{CZ} on output 2, output 65, \mathrm{CZ} on output 2, output 71, \mathrm{CZ} on output 2, output 73, \mathrm{CZ} on output 2, output 74, \mathrm{CZ} on output 2, output 76, \mathrm{CZ} on output 2, output 78, \mathrm{CZ} on output 2, output 84, \mathrm{CZ} on output 2, output 85, \mathrm{CZ} on output 2, output 88, \mathrm{CZ} on output 2, output 91, \mathrm{CZ} on output 2, output 92, \mathrm{CZ} on output 2, output 94, \mathrm{CZ} on output 2, output 95, \mathrm{CZ} on output 2, output 98, \mathrm{CZ} on output 2, check 100, \mathrm{CZ} on output 2, check 101, \mathrm{CZ} on output 2, check 103, \mathrm{CZ} on output 2, check 104, \mathrm{CZ} on output 2, check 105, \mathrm{CZ} on output 2, check 108, \mathrm{CZ} on output 2, check 109, \mathrm{CZ} on output 2, check 110, \mathrm{CZ} on output 3, output 4, \mathrm{CZ} on output 3, output 5, \mathrm{CZ} on output 3, output 7, \mathrm{CZ} on output 3, output 8, \mathrm{CZ} on output 3, output 9, \mathrm{CZ} on output 3, output 11, \mathrm{CZ} on output 3, output 12, \mathrm{CZ} on output 3, output 13, \mathrm{CZ} on output 3, output 14, \mathrm{CZ} on output 3, output 18, \mathrm{CZ} on output 3, output 21, \mathrm{CZ} on output 3, output 23, \mathrm{CZ} on output 3, output 27, \mathrm{CZ} on output 3, output 31, \mathrm{CZ} on output 3, output 32, \mathrm{CZ} on output 3, output 35, \mathrm{CZ} on output 3, output 36, \mathrm{CZ} on output 3, output 37, \mathrm{CZ} on output 3, output 43, \mathrm{CZ} on output 3, output 44, \mathrm{CZ} on output 3, output 45, \mathrm{CZ} on output 3, output 47, \mathrm{CZ} on output 3, output 50, \mathrm{CZ} on output 3, output 54, \mathrm{CZ} on output 3, output 55, \mathrm{CZ} on output 3, output 56, \mathrm{CZ} on output 3, output 57, \mathrm{CZ} on output 3, output 58, \mathrm{CZ} on output 3, output 60, \mathrm{CZ} on output 3, output 65, \mathrm{CZ} on output 3, output 71, \mathrm{CZ} on output 3, output 73, \mathrm{CZ} on output 3, output 74, \mathrm{CZ} on output 3, output 76, \mathrm{CZ} on output 3, output 78, \mathrm{CZ} on output 3, output 84, \mathrm{CZ} on output 3, output 85, \mathrm{CZ} on output 3, output 88, \mathrm{CZ} on output 3, output 91, \mathrm{CZ} on output 3, output 92, \mathrm{CZ} on output 3, output 94, \mathrm{CZ} on output 3, output 95, \mathrm{CZ} on output 3, output 98, \mathrm{CZ} on output 3, check 100, \mathrm{CZ} on output 3, check 101, \mathrm{CZ} on output 3, check 103, \mathrm{CZ} on output 3, check 104, \mathrm{CZ} on output 3, check 105, \mathrm{CZ} on output 3, check 108, \mathrm{CZ} on output 3, check 109, \mathrm{CZ} on output 3, check 110, \mathrm{CZ} on output 4, output 5, \mathrm{CZ} on output 4, output 7, \mathrm{CZ} on output 4, output 8, \mathrm{CZ} on output 4, output 9, \mathrm{CZ} on output 4, output 11, \mathrm{CZ} on output 4, output 12, \mathrm{CZ} on output 4, output 13, \mathrm{CZ} on output 4, output 14, \mathrm{CZ} on output 4, output 18, \mathrm{CZ} on output 4, output 21, \mathrm{CZ} on output 4, output 23, \mathrm{CZ} on output 4, output 27, \mathrm{CZ} on output 4, output 31, \mathrm{CZ} on output 4, output 32, \mathrm{CZ} on output 4, output 35, \mathrm{CZ} on output 4, output 36, \mathrm{CZ} on output 4, output 37, \mathrm{CZ} on output 4, output 43, \mathrm{CZ} on output 4, output 44, \mathrm{CZ} on output 4, output 45, \mathrm{CZ} on output 4, output 47, \mathrm{CZ} on output 4, output 50, \mathrm{CZ} on output 4, output 54, \mathrm{CZ} on output 4, output 55, \mathrm{CZ} on output 4, output 56, \mathrm{CZ} on output 4, output 57, \mathrm{CZ} on output 4, output 58, \mathrm{CZ} on output 4, output 60, \mathrm{CZ} on output 4, output 65, \mathrm{CZ} on output 4, output 71, \mathrm{CZ} on output 4, output 73, \mathrm{CZ} on output 4, output 74, \mathrm{CZ} on output 4, output 76, \mathrm{CZ} on output 4, output 78, \mathrm{CZ} on output 4, output 84, \mathrm{CZ} on output 4, output 85, \mathrm{CZ} on output 4, output 88, \mathrm{CZ} on output 4, output 91, \mathrm{CZ} on output 4, output 92, \mathrm{CZ} on output 4, output 94, \mathrm{CZ} on output 4, output 95, \mathrm{CZ} on output 4, output 98, \mathrm{CZ} on output 4, check 100, \mathrm{CZ} on output 4, check 101, \mathrm{CZ} on output 4, check 103, \mathrm{CZ} on output 4, check 104, \mathrm{CZ} on output 4, check 105, \mathrm{CZ} on output 4, check 108, \mathrm{CZ} on output 4, check 109, \mathrm{CZ} on output 4, check 110, \mathrm{CZ} on output 5, output 7, \mathrm{CZ} on output 5, output 8, \mathrm{CZ} on output 5, output 9, \mathrm{CZ} on output 5, output 11, \mathrm{CZ} on output 5, output 12, \mathrm{CZ} on output 5, output 13, \mathrm{CZ} on output 5, output 14, \mathrm{CZ} on output 5, output 18, \mathrm{CZ} on output 5, output 21, \mathrm{CZ} on output 5, output 23, \mathrm{CZ} on output 5, output 27, \mathrm{CZ} on output 5, output 31, \mathrm{CZ} on output 5, output 32, \mathrm{CZ} on output 5, output 35, \mathrm{CZ} on output 5, output 36, \mathrm{CZ} on output 5, output 37, \mathrm{CZ} on output 5, output 43, \mathrm{CZ} on output 5, output 44, \mathrm{CZ} on output 5, output 45, \mathrm{CZ} on output 5, output 47, \mathrm{CZ} on output 5, output 50, \mathrm{CZ} on output 5, output 54, \mathrm{CZ} on output 5, output 55, \mathrm{CZ} on output 5, output 56, \mathrm{CZ} on output 5, output 57, \mathrm{CZ} on output 5, output 58, \mathrm{CZ} on output 5, output 60, \mathrm{CZ} on output 5, output 65, \mathrm{CZ} on output 5, output 71, \mathrm{CZ} on output 5, output 73, \mathrm{CZ} on output 5, output 74, \mathrm{CZ} on output 5, output 76, \mathrm{CZ} on output 5, output 78, \mathrm{CZ} on output 5, output 84, \mathrm{CZ} on output 5, output 85, \mathrm{CZ} on output 5, output 88, \mathrm{CZ} on output 5, output 91, \mathrm{CZ} on output 5, output 92, \mathrm{CZ} on output 5, output 94, \mathrm{CZ} on output 5, output 95, \mathrm{CZ} on output 5, output 98, \mathrm{CZ} on output 5, check 100, \mathrm{CZ} on output 5, check 101, \mathrm{CZ} on output 5, check 103, \mathrm{CZ} on output 5, check 104, \mathrm{CZ} on output 5, check 105, \mathrm{CZ} on output 5, check 108, \mathrm{CZ} on output 5, check 109, \mathrm{CZ} on output 5, check 110, \mathrm{CZ} on output 7, output 8, \mathrm{CZ} on output 7, output 9, \mathrm{CZ} on output 7, output 11, \mathrm{CZ} on output 7, output 12, \mathrm{CZ} on output 7, output 13, \mathrm{CZ} on output 7, output 14, \mathrm{CZ} on output 7, output 18, \mathrm{CZ} on output 7, output 21, \mathrm{CZ} on output 7, output 23, \mathrm{CZ} on output 7, output 27, \mathrm{CZ} on output 7, output 31, \mathrm{CZ} on output 7, output 32, \mathrm{CZ} on output 7, output 35, \mathrm{CZ} on output 7, output 36, \mathrm{CZ} on output 7, output 37, \mathrm{CZ} on output 7, output 43, \mathrm{CZ} on output 7, output 44, \mathrm{CZ} on output 7, output 45, \mathrm{CZ} on output 7, output 47, \mathrm{CZ} on output 7, output 50, \mathrm{CZ} on output 7, output 54, \mathrm{CZ} on output 7, output 55, \mathrm{CZ} on output 7, output 56, \mathrm{CZ} on output 7, output 57, \mathrm{CZ} on output 7, output 58, \mathrm{CZ} on output 7, output 60, \mathrm{CZ} on output 7, output 65, \mathrm{CZ} on output 7, output 71, \mathrm{CZ} on output 7, output 73, \mathrm{CZ} on output 7, output 74, \mathrm{CZ} on output 7, output 76, \mathrm{CZ} on output 7, output 78, \mathrm{CZ} on output 7, output 84, \mathrm{CZ} on output 7, output 85, \mathrm{CZ} on output 7, output 88, \mathrm{CZ} on output 7, output 91, \mathrm{CZ} on output 7, output 92, \mathrm{CZ} on output 7, output 94, \mathrm{CZ} on output 7, output 95, \mathrm{CZ} on output 7, output 98, \mathrm{CZ} on output 7, check 100, \mathrm{CZ} on output 7, check 101, \mathrm{CZ} on output 7, check 103, \mathrm{CZ} on output 7, check 104, \mathrm{CZ} on output 7, check 105, \mathrm{CZ} on output 7, check 108, \mathrm{CZ} on output 7, check 109, \mathrm{CZ} on output 7, check 110, \mathrm{CZ} on output 8, output 9, \mathrm{CZ} on output 8, output 11, \mathrm{CZ} on output 8, output 12, \mathrm{CZ} on output 8, output 13, \mathrm{CZ} on output 8, output 14, \mathrm{CZ} on output 8, output 18, \mathrm{CZ} on output 8, output 21, \mathrm{CZ} on output 8, output 23, \mathrm{CZ} on output 8, output 27, \mathrm{CZ} on output 8, output 31, \mathrm{CZ} on output 8, output 32, \mathrm{CZ} on output 8, output 35, \mathrm{CZ} on output 8, output 36, \mathrm{CZ} on output 8, output 37, \mathrm{CZ} on output 8, output 43, \mathrm{CZ} on output 8, output 44, \mathrm{CZ} on output 8, output 45, \mathrm{CZ} on output 8, output 47, \mathrm{CZ} on output 8, output 50, \mathrm{CZ} on output 8, output 54, \mathrm{CZ} on output 8, output 55, \mathrm{CZ} on output 8, output 56, \mathrm{CZ} on output 8, output 57, \mathrm{CZ} on output 8, output 58, \mathrm{CZ} on output 8, output 60, \mathrm{CZ} on output 8, output 65, \mathrm{CZ} on output 8, output 71, \mathrm{CZ} on output 8, output 73, \mathrm{CZ} on output 8, output 74, \mathrm{CZ} on output 8, output 76, \mathrm{CZ} on output 8, output 78, \mathrm{CZ} on output 8, output 84, \mathrm{CZ} on output 8, output 85, \mathrm{CZ} on output 8, output 88, \mathrm{CZ} on output 8, output 91, \mathrm{CZ} on output 8, output 92, \mathrm{CZ} on output 8, output 94, \mathrm{CZ} on output 8, output 95, \mathrm{CZ} on output 8, output 98, \mathrm{CZ} on output 8, check 100, \mathrm{CZ} on output 8, check 101, \mathrm{CZ} on output 8, check 103, \mathrm{CZ} on output 8, check 104, \mathrm{CZ} on output 8, check 105, \mathrm{CZ} on output 8, check 108, \mathrm{CZ} on output 8, check 109, \mathrm{CZ} on output 8, check 110, \mathrm{CZ} on output 9, output 11, \mathrm{CZ} on output 9, output 12, \mathrm{CZ} on output 9, output 13, \mathrm{CZ} on output 9, output 14, \mathrm{CZ} on output 9, output 18, \mathrm{CZ} on output 9, output 21, \mathrm{CZ} on output 9, output 23, \mathrm{CZ} on output 9, output 27, \mathrm{CZ} on output 9, output 31, \mathrm{CZ} on output 9, output 32, \mathrm{CZ} on output 9, output 35, \mathrm{CZ} on output 9, output 36, \mathrm{CZ} on output 9, output 37, \mathrm{CZ} on output 9, output 43, \mathrm{CZ} on output 9, output 44, \mathrm{CZ} on output 9, output 45, \mathrm{CZ} on output 9, output 47, \mathrm{CZ} on output 9, output 50, \mathrm{CZ} on output 9, output 54, \mathrm{CZ} on output 9, output 55, \mathrm{CZ} on output 9, output 56, \mathrm{CZ} on output 9, output 57, \mathrm{CZ} on output 9, output 58, \mathrm{CZ} on output 9, output 60, \mathrm{CZ} on output 9, output 65, \mathrm{CZ} on output 9, output 71, \mathrm{CZ} on output 9, output 73, \mathrm{CZ} on output 9, output 74, \mathrm{CZ} on output 9, output 76, \mathrm{CZ} on output 9, output 78, \mathrm{CZ} on output 9, output 84, \mathrm{CZ} on output 9, output 85, \mathrm{CZ} on output 9, output 88, \mathrm{CZ} on output 9, output 91, \mathrm{CZ} on output 9, output 92, \mathrm{CZ} on output 9, output 94, \mathrm{CZ} on output 9, output 95, \mathrm{CZ} on output 9, output 98, \mathrm{CZ} on output 9, check 100, \mathrm{CZ} on output 9, check 101, \mathrm{CZ} on output 9, check 103, \mathrm{CZ} on output 9, check 104, \mathrm{CZ} on output 9, check 105, \mathrm{CZ} on output 9, check 108, \mathrm{CZ} on output 9, check 109, \mathrm{CZ} on output 9, check 110, \mathrm{CZ} on output 11, output 13, \mathrm{CZ} on output 11, output 23, \mathrm{CZ} on output 11, output 27, \mathrm{CZ} on output 11, output 28, \mathrm{CZ} on output 11, output 30, \mathrm{CZ} on output 11, output 32, \mathrm{CZ} on output 11, output 35, \mathrm{CZ} on output 11, output 38, \mathrm{CZ} on output 11, output 41, \mathrm{CZ} on output 11, output 43, \mathrm{CZ} on output 11, output 44, \mathrm{CZ} on output 11, output 47, \mathrm{CZ} on output 11, output 50, \mathrm{CZ} on output 11, output 53, \mathrm{CZ} on output 11, output 56, \mathrm{CZ} on output 11, output 57, \mathrm{CZ} on output 11, output 58, \mathrm{CZ} on output 11, output 59, \mathrm{CZ} on output 11, output 60, \mathrm{CZ} on output 11, output 67, \mathrm{CZ} on output 11, output 69, \mathrm{CZ} on output 11, output 72, \mathrm{CZ} on output 11, output 76, \mathrm{CZ} on output 11, output 80, \mathrm{CZ} on output 11, output 82, \mathrm{CZ} on output 11, output 84, \mathrm{CZ} on output 11, output 85, \mathrm{CZ} on output 11, output 87, \mathrm{CZ} on output 11, output 88, \mathrm{CZ} on output 11, output 89, \mathrm{CZ} on output 11, output 91, \mathrm{CZ} on output 11, output 92, \mathrm{CZ} on output 11, output 94, \mathrm{CZ} on output 11, output 98, \mathrm{CZ} on output 11, check 102, \mathrm{CZ} on output 11, check 105, \mathrm{CZ} on output 11, check 106, \mathrm{CZ} on output 11, check 109, \mathrm{CZ} on output 11, check 110, \mathrm{CZ} on output 12, output 13, \mathrm{CZ} on output 12, output 23, \mathrm{CZ} on output 12, output 27, \mathrm{CZ} on output 12, output 28, \mathrm{CZ} on output 12, output 30, \mathrm{CZ} on output 12, output 32, \mathrm{CZ} on output 12, output 35, \mathrm{CZ} on output 12, output 38, \mathrm{CZ} on output 12, output 41, \mathrm{CZ} on output 12, output 43, \mathrm{CZ} on output 12, output 44, \mathrm{CZ} on output 12, output 47, \mathrm{CZ} on output 12, output 50, \mathrm{CZ} on output 12, output 53, \mathrm{CZ} on output 12, output 56, \mathrm{CZ} on output 12, output 57, \mathrm{CZ} on output 12, output 58, \mathrm{CZ} on output 12, output 59, \mathrm{CZ} on output 12, output 60, \mathrm{CZ} on output 12, output 67, \mathrm{CZ} on output 12, output 69, \mathrm{CZ} on output 12, output 72, \mathrm{CZ} on output 12, output 76, \mathrm{CZ} on output 12, output 80, \mathrm{CZ} on output 12, output 82, \mathrm{CZ} on output 12, output 84, \mathrm{CZ} on output 12, output 85, \mathrm{CZ} on output 12, output 87, \mathrm{CZ} on output 12, output 88, \mathrm{CZ} on output 12, output 89, \mathrm{CZ} on output 12, output 91, \mathrm{CZ} on output 12, output 92, \mathrm{CZ} on output 12, output 94, \mathrm{CZ} on output 12, output 98, \mathrm{CZ} on output 12, check 102, \mathrm{CZ} on output 12, check 105, \mathrm{CZ} on output 12, check 106, \mathrm{CZ} on output 12, check 109, \mathrm{CZ} on output 12, check 110, \mathrm{CZ} on output 13, output 14, \mathrm{CZ} on output 13, output 18, \mathrm{CZ} on output 13, output 21, \mathrm{CZ} on output 13, output 23, \mathrm{CZ} on output 13, output 27, \mathrm{CZ} on output 13, output 31, \mathrm{CZ} on output 13, output 32, \mathrm{CZ} on output 13, output 35, \mathrm{CZ} on output 13, output 36, \mathrm{CZ} on output 13, output 37, \mathrm{CZ} on output 13, output 43, \mathrm{CZ} on output 13, output 44, \mathrm{CZ} on output 13, output 45, \mathrm{CZ} on output 13, output 47, \mathrm{CZ} on output 13, output 50, \mathrm{CZ} on output 13, output 54, \mathrm{CZ} on output 13, output 55, \mathrm{CZ} on output 13, output 56, \mathrm{CZ} on output 13, output 57, \mathrm{CZ} on output 13, output 58, \mathrm{CZ} on output 13, output 60, \mathrm{CZ} on output 13, output 65, \mathrm{CZ} on output 13, output 71, \mathrm{CZ} on output 13, output 73, \mathrm{CZ} on output 13, output 74, \mathrm{CZ} on output 13, output 76, \mathrm{CZ} on output 13, output 78, \mathrm{CZ} on output 13, output 84, \mathrm{CZ} on output 13, output 85, \mathrm{CZ} on output 13, output 88, \mathrm{CZ} on output 13, output 91, \mathrm{CZ} on output 13, output 92, \mathrm{CZ} on output 13, output 94, \mathrm{CZ} on output 13, output 95, \mathrm{CZ} on output 13, output 98, \mathrm{CZ} on output 13, check 100, \mathrm{CZ} on output 13, check 101, \mathrm{CZ} on output 13, check 103, \mathrm{CZ} on output 13, check 104, \mathrm{CZ} on output 13, check 105, \mathrm{CZ} on output 13, check 108, \mathrm{CZ} on output 13, check 109, \mathrm{CZ} on output 13, check 110, \mathrm{CZ} on output 14, output 23, \mathrm{CZ} on output 14, output 27, \mathrm{CZ} on output 14, output 28, \mathrm{CZ} on output 14, output 30, \mathrm{CZ} on output 14, output 32, \mathrm{CZ} on output 14, output 35, \mathrm{CZ} on output 14, output 38, \mathrm{CZ} on output 14, output 41, \mathrm{CZ} on output 14, output 43, \mathrm{CZ} on output 14, output 44, \mathrm{CZ} on output 14, output 47, \mathrm{CZ} on output 14, output 50, \mathrm{CZ} on output 14, output 53, \mathrm{CZ} on output 14, output 56, \mathrm{CZ} on output 14, output 57, \mathrm{CZ} on output 14, output 58, \mathrm{CZ} on output 14, output 59, \mathrm{CZ} on output 14, output 60, \mathrm{CZ} on output 14, output 67, \mathrm{CZ} on output 14, output 69, \mathrm{CZ} on output 14, output 72, \mathrm{CZ} on output 14, output 76, \mathrm{CZ} on output 14, output 80, \mathrm{CZ} on output 14, output 82, \mathrm{CZ} on output 14, output 84, \mathrm{CZ} on output 14, output 85, \mathrm{CZ} on output 14, output 87, \mathrm{CZ} on output 14, output 88, \mathrm{CZ} on output 14, output 89, \mathrm{CZ} on output 14, output 91, \mathrm{CZ} on output 14, output 92, \mathrm{CZ} on output 14, output 94, \mathrm{CZ} on output 14, output 98, \mathrm{CZ} on output 14, check 102, \mathrm{CZ} on output 14, check 105, \mathrm{CZ} on output 14, check 106, \mathrm{CZ} on output 14, check 109, \mathrm{CZ} on output 14, check 110, \mathrm{CZ} on output 18, output 23, \mathrm{CZ} on output 18, output 27, \mathrm{CZ} on output 18, output 28, \mathrm{CZ} on output 18, output 30, \mathrm{CZ} on output 18, output 32, \mathrm{CZ} on output 18, output 35, \mathrm{CZ} on output 18, output 38, \mathrm{CZ} on output 18, output 41, \mathrm{CZ} on output 18, output 43, \mathrm{CZ} on output 18, output 44, \mathrm{CZ} on output 18, output 47, \mathrm{CZ} on output 18, output 50, \mathrm{CZ} on output 18, output 53, \mathrm{CZ} on output 18, output 56, \mathrm{CZ} on output 18, output 57, \mathrm{CZ} on output 18, output 58, \mathrm{CZ} on output 18, output 59, \mathrm{CZ} on output 18, output 60, \mathrm{CZ} on output 18, output 67, \mathrm{CZ} on output 18, output 69, \mathrm{CZ} on output 18, output 72, \mathrm{CZ} on output 18, output 76, \mathrm{CZ} on output 18, output 80, \mathrm{CZ} on output 18, output 82, \mathrm{CZ} on output 18, output 84, \mathrm{CZ} on output 18, output 85, \mathrm{CZ} on output 18, output 87, \mathrm{CZ} on output 18, output 88, \mathrm{CZ} on output 18, output 89, \mathrm{CZ} on output 18, output 91, \mathrm{CZ} on output 18, output 92, \mathrm{CZ} on output 18, output 94, \mathrm{CZ} on output 18, output 98, \mathrm{CZ} on output 18, check 102, \mathrm{CZ} on output 18, check 105, \mathrm{CZ} on output 18, check 106, \mathrm{CZ} on output 18, check 109, \mathrm{CZ} on output 18, check 110, \mathrm{CZ} on output 21, output 23, \mathrm{CZ} on output 21, output 27, \mathrm{CZ} on output 21, output 28, \mathrm{CZ} on output 21, output 30, \mathrm{CZ} on output 21, output 32, \mathrm{CZ} on output 21, output 35, \mathrm{CZ} on output 21, output 38, \mathrm{CZ} on output 21, output 41, \mathrm{CZ} on output 21, output 43, \mathrm{CZ} on output 21, output 44, \mathrm{CZ} on output 21, output 47, \mathrm{CZ} on output 21, output 50, \mathrm{CZ} on output 21, output 53, \mathrm{CZ} on output 21, output 56, \mathrm{CZ} on output 21, output 57, \mathrm{CZ} on output 21, output 58, \mathrm{CZ} on output 21, output 59, \mathrm{CZ} on output 21, output 60, \mathrm{CZ} on output 21, output 67, \mathrm{CZ} on output 21, output 69, \mathrm{CZ} on output 21, output 72, \mathrm{CZ} on output 21, output 76, \mathrm{CZ} on output 21, output 80, \mathrm{CZ} on output 21, output 82, \mathrm{CZ} on output 21, output 84, \mathrm{CZ} on output 21, output 85, \mathrm{CZ} on output 21, output 87, \mathrm{CZ} on output 21, output 88, \mathrm{CZ} on output 21, output 89, \mathrm{CZ} on output 21, output 91, \mathrm{CZ} on output 21, output 92, \mathrm{CZ} on output 21, output 94, \mathrm{CZ} on output 21, output 98, \mathrm{CZ} on output 21, check 102, \mathrm{CZ} on output 21, check 105, \mathrm{CZ} on output 21, check 106, \mathrm{CZ} on output 21, check 109, \mathrm{CZ} on output 21, check 110, \mathrm{CZ} on output 23, output 27, \mathrm{CZ} on output 23, output 31, \mathrm{CZ} on output 23, output 32, \mathrm{CZ} on output 23, output 35, \mathrm{CZ} on output 23, output 36, \mathrm{CZ} on output 23, output 37, \mathrm{CZ} on output 23, output 43, \mathrm{CZ} on output 23, output 44, \mathrm{CZ} on output 23, output 45, \mathrm{CZ} on output 23, output 47, \mathrm{CZ} on output 23, output 50, \mathrm{CZ} on output 23, output 54, \mathrm{CZ} on output 23, output 55, \mathrm{CZ} on output 23, output 56, \mathrm{CZ} on output 23, output 57, \mathrm{CZ} on output 23, output 58, \mathrm{CZ} on output 23, output 60, \mathrm{CZ} on output 23, output 65, \mathrm{CZ} on output 23, output 71, \mathrm{CZ} on output 23, output 73, \mathrm{CZ} on output 23, output 74, \mathrm{CZ} on output 23, output 76, \mathrm{CZ} on output 23, output 78, \mathrm{CZ} on output 23, output 84, \mathrm{CZ} on output 23, output 85, \mathrm{CZ} on output 23, output 88, \mathrm{CZ} on output 23, output 91, \mathrm{CZ} on output 23, output 92, \mathrm{CZ} on output 23, output 94, \mathrm{CZ} on output 23, output 95, \mathrm{CZ} on output 23, output 98, \mathrm{CZ} on output 23, check 100, \mathrm{CZ} on output 23, check 101, \mathrm{CZ} on output 23, check 103, \mathrm{CZ} on output 23, check 104, \mathrm{CZ} on output 23, check 105, \mathrm{CZ} on output 23, check 108, \mathrm{CZ} on output 23, check 109, \mathrm{CZ} on output 23, check 110, \mathrm{CZ} on output 27, output 31, \mathrm{CZ} on output 27, output 32, \mathrm{CZ} on output 27, output 35, \mathrm{CZ} on output 27, output 36, \mathrm{CZ} on output 27, output 37, \mathrm{CZ} on output 27, output 43, \mathrm{CZ} on output 27, output 44, \mathrm{CZ} on output 27, output 45, \mathrm{CZ} on output 27, output 47, \mathrm{CZ} on output 27, output 50, \mathrm{CZ} on output 27, output 54, \mathrm{CZ} on output 27, output 55, \mathrm{CZ} on output 27, output 56, \mathrm{CZ} on output 27, output 57, \mathrm{CZ} on output 27, output 58, \mathrm{CZ} on output 27, output 60, \mathrm{CZ} on output 27, output 65, \mathrm{CZ} on output 27, output 71, \mathrm{CZ} on output 27, output 73, \mathrm{CZ} on output 27, output 74, \mathrm{CZ} on output 27, output 76, \mathrm{CZ} on output 27, output 78, \mathrm{CZ} on output 27, output 84, \mathrm{CZ} on output 27, output 85, \mathrm{CZ} on output 27, output 88, \mathrm{CZ} on output 27, output 91, \mathrm{CZ} on output 27, output 92, \mathrm{CZ} on output 27, output 94, \mathrm{CZ} on output 27, output 95, \mathrm{CZ} on output 27, output 98, \mathrm{CZ} on output 27, check 100, \mathrm{CZ} on output 27, check 101, \mathrm{CZ} on output 27, check 103, \mathrm{CZ} on output 27, check 104, \mathrm{CZ} on output 27, check 105, \mathrm{CZ} on output 27, check 108, \mathrm{CZ} on output 27, check 109, \mathrm{CZ} on output 27, 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 101, \mathrm{CZ} on output 28, check 102, \mathrm{CZ} on output 28, check 103, \mathrm{CZ} on output 28, check 104, \mathrm{CZ} on output 28, check 106, \mathrm{CZ} on output 28, check 108, \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 101, \mathrm{CZ} on output 30, check 102, \mathrm{CZ} on output 30, check 103, \mathrm{CZ} on output 30, check 104, \mathrm{CZ} on output 30, check 106, \mathrm{CZ} on output 30, check 108, \mathrm{CZ} on output 31, output 32, \mathrm{CZ} on output 31, output 35, \mathrm{CZ} on output 31, output 38, \mathrm{CZ} on output 31, output 41, \mathrm{CZ} on output 31, output 43, \mathrm{CZ} on output 31, output 44, \mathrm{CZ} on output 31, output 47, \mathrm{CZ} on output 31, output 50, \mathrm{CZ} on output 31, output 53, \mathrm{CZ} on output 31, output 56, \mathrm{CZ} on output 31, output 57, \mathrm{CZ} on output 31, output 58, \mathrm{CZ} on output 31, output 59, \mathrm{CZ} on output 31, output 60, \mathrm{CZ} on output 31, output 67, \mathrm{CZ} on output 31, output 69, \mathrm{CZ} on output 31, output 72, \mathrm{CZ} on output 31, output 76, \mathrm{CZ} on output 31, output 80, \mathrm{CZ} on output 31, output 82, \mathrm{CZ} on output 31, output 84, \mathrm{CZ} on output 31, output 85, \mathrm{CZ} on output 31, output 87, \mathrm{CZ} on output 31, output 88, \mathrm{CZ} on output 31, output 89, \mathrm{CZ} on output 31, output 91, \mathrm{CZ} on output 31, output 92, \mathrm{CZ} on output 31, output 94, \mathrm{CZ} on output 31, output 98, \mathrm{CZ} on output 31, check 102, \mathrm{CZ} on output 31, check 105, \mathrm{CZ} on output 31, check 106, \mathrm{CZ} on output 31, check 109, \mathrm{CZ} on output 31, check 110, \mathrm{CZ} on output 32, output 35, \mathrm{CZ} on output 32, output 36, \mathrm{CZ} on output 32, output 37, \mathrm{CZ} on output 32, output 43, \mathrm{CZ} on output 32, output 44, \mathrm{CZ} on output 32, output 45, \mathrm{CZ} on output 32, output 47, \mathrm{CZ} on output 32, output 50, \mathrm{CZ} on output 32, output 54, \mathrm{CZ} on output 32, output 55, \mathrm{CZ} on output 32, output 56, \mathrm{CZ} on output 32, output 57, \mathrm{CZ} on output 32, output 58, \mathrm{CZ} on output 32, output 60, \mathrm{CZ} on output 32, output 65, \mathrm{CZ} on output 32, output 71, \mathrm{CZ} on output 32, output 73, \mathrm{CZ} on output 32, output 74, \mathrm{CZ} on output 32, output 76, \mathrm{CZ} on output 32, output 78, \mathrm{CZ} on output 32, output 84, \mathrm{CZ} on output 32, output 85, \mathrm{CZ} on output 32, output 88, \mathrm{CZ} on output 32, output 91, \mathrm{CZ} on output 32, output 92, \mathrm{CZ} on output 32, output 94, \mathrm{CZ} on output 32, output 95, \mathrm{CZ} on output 32, output 98, \mathrm{CZ} on output 32, check 100, \mathrm{CZ} on output 32, check 101, \mathrm{CZ} on output 32, check 103, \mathrm{CZ} on output 32, check 104, \mathrm{CZ} on output 32, check 105, \mathrm{CZ} on output 32, check 108, \mathrm{CZ} on output 32, check 109, \mathrm{CZ} on output 32, check 110, \mathrm{CZ} on output 35, output 36, \mathrm{CZ} on output 35, output 37, \mathrm{CZ} on output 35, output 43, \mathrm{CZ} on output 35, output 44, \mathrm{CZ} on output 35, output 45, \mathrm{CZ} on output 35, output 47, \mathrm{CZ} on output 35, output 50, \mathrm{CZ} on output 35, output 54, \mathrm{CZ} on output 35, output 55, \mathrm{CZ} on output 35, output 56, \mathrm{CZ} on output 35, output 57, \mathrm{CZ} on output 35, output 58, \mathrm{CZ} on output 35, output 60, \mathrm{CZ} on output 35, output 65, \mathrm{CZ} on output 35, output 71, \mathrm{CZ} on output 35, output 73, \mathrm{CZ} on output 35, output 74, \mathrm{CZ} on output 35, output 76, \mathrm{CZ} on output 35, output 78, \mathrm{CZ} on output 35, output 84, \mathrm{CZ} on output 35, output 85, \mathrm{CZ} on output 35, output 88, \mathrm{CZ} on output 35, output 91, \mathrm{CZ} on output 35, output 92, \mathrm{CZ} on output 35, output 94, \mathrm{CZ} on output 35, output 95, \mathrm{CZ} on output 35, output 98, \mathrm{CZ} on output 35, check 100, \mathrm{CZ} on output 35, check 101, \mathrm{CZ} on output 35, check 103, \mathrm{CZ} on output 35, check 104, \mathrm{CZ} on output 35, check 105, \mathrm{CZ} on output 35, check 108, \mathrm{CZ} on output 35, check 109, \mathrm{CZ} on output 35, check 110, \mathrm{CZ} on output 36, output 38, \mathrm{CZ} on output 36, output 41, \mathrm{CZ} on output 36, output 43, \mathrm{CZ} on output 36, output 44, \mathrm{CZ} on output 36, output 47, \mathrm{CZ} on output 36, output 50, \mathrm{CZ} on output 36, output 53, \mathrm{CZ} on output 36, output 56, \mathrm{CZ} on output 36, output 57, \mathrm{CZ} on output 36, output 58, \mathrm{CZ} on output 36, output 59, \mathrm{CZ} on output 36, output 60, \mathrm{CZ} on output 36, output 67, \mathrm{CZ} on output 36, output 69, \mathrm{CZ} on output 36, output 72, \mathrm{CZ} on output 36, output 76, \mathrm{CZ} on output 36, output 80, \mathrm{CZ} on output 36, output 82, \mathrm{CZ} on output 36, output 84, \mathrm{CZ} on output 36, output 85, \mathrm{CZ} on output 36, output 87, \mathrm{CZ} on output 36, output 88, \mathrm{CZ} on output 36, output 89, \mathrm{CZ} on output 36, output 91, \mathrm{CZ} on output 36, output 92, \mathrm{CZ} on output 36, output 94, \mathrm{CZ} on output 36, output 98, \mathrm{CZ} on output 36, check 102, \mathrm{CZ} on output 36, check 103, \mathrm{CZ} on output 36, check 104, \mathrm{CZ} on output 36, check 106, \mathrm{CZ} on output 36, check 107, \mathrm{CZ} on output 36, check 109, \mathrm{CZ} on output 37, output 38, \mathrm{CZ} on output 37, output 41, \mathrm{CZ} on output 37, output 43, \mathrm{CZ} on output 37, output 44, \mathrm{CZ} on output 37, output 47, \mathrm{CZ} on output 37, output 50, \mathrm{CZ} on output 37, output 53, \mathrm{CZ} on output 37, output 56, \mathrm{CZ} on output 37, output 57, \mathrm{CZ} on output 37, output 58, \mathrm{CZ} on output 37, output 59, \mathrm{CZ} on output 37, output 60, \mathrm{CZ} on output 37, output 67, \mathrm{CZ} on output 37, output 69, \mathrm{CZ} on output 37, output 72, \mathrm{CZ} on output 37, output 76, \mathrm{CZ} on output 37, output 80, \mathrm{CZ} on output 37, output 82, \mathrm{CZ} on output 37, output 84, \mathrm{CZ} on output 37, output 85, \mathrm{CZ} on output 37, output 87, \mathrm{CZ} on output 37, output 88, \mathrm{CZ} on output 37, output 89, \mathrm{CZ} on output 37, output 91, \mathrm{CZ} on output 37, output 92, \mathrm{CZ} on output 37, output 94, \mathrm{CZ} on output 37, output 98, \mathrm{CZ} on output 37, check 102, \mathrm{CZ} on output 37, check 105, \mathrm{CZ} on output 37, check 106, \mathrm{CZ} on output 37, check 109, \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 101, \mathrm{CZ} on output 38, check 102, \mathrm{CZ} on output 38, check 103, \mathrm{CZ} on output 38, check 104, \mathrm{CZ} on output 38, check 106, \mathrm{CZ} on output 38, check 108, \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 101, \mathrm{CZ} on output 41, check 102, \mathrm{CZ} on output 41, check 103, \mathrm{CZ} on output 41, check 104, \mathrm{CZ} on output 41, check 106, \mathrm{CZ} on output 41, check 108, \mathrm{CZ} on output 43, output 44, \mathrm{CZ} on output 43, output 45, \mathrm{CZ} on output 43, output 47, \mathrm{CZ} on output 43, output 50, \mathrm{CZ} on output 43, output 54, \mathrm{CZ} on output 43, output 55, \mathrm{CZ} on output 43, output 56, \mathrm{CZ} on output 43, output 57, \mathrm{CZ} on output 43, output 58, \mathrm{CZ} on output 43, output 60, \mathrm{CZ} on output 43, output 65, \mathrm{CZ} on output 43, output 71, \mathrm{CZ} on output 43, output 73, \mathrm{CZ} on output 43, output 74, \mathrm{CZ} on output 43, output 76, \mathrm{CZ} on output 43, output 78, \mathrm{CZ} on output 43, output 84, \mathrm{CZ} on output 43, output 85, \mathrm{CZ} on output 43, output 88, \mathrm{CZ} on output 43, output 91, \mathrm{CZ} on output 43, output 92, \mathrm{CZ} on output 43, output 94, \mathrm{CZ} on output 43, output 95, \mathrm{CZ} on output 43, output 98, \mathrm{CZ} on output 43, check 100, \mathrm{CZ} on output 43, check 101, \mathrm{CZ} on output 43, check 103, \mathrm{CZ} on output 43, check 104, \mathrm{CZ} on output 43, check 105, \mathrm{CZ} on output 43, check 108, \mathrm{CZ} on output 43, check 109, \mathrm{CZ} on output 43, check 110, \mathrm{CZ} on output 44, output 45, \mathrm{CZ} on output 44, output 47, \mathrm{CZ} on output 44, output 50, \mathrm{CZ} on output 44, output 54, \mathrm{CZ} on output 44, output 55, \mathrm{CZ} on output 44, output 56, \mathrm{CZ} on output 44, output 57, \mathrm{CZ} on output 44, output 58, \mathrm{CZ} on output 44, output 60, \mathrm{CZ} on output 44, output 65, \mathrm{CZ} on output 44, output 71, \mathrm{CZ} on output 44, output 73, \mathrm{CZ} on output 44, output 74, \mathrm{CZ} on output 44, output 76, \mathrm{CZ} on output 44, output 78, \mathrm{CZ} on output 44, output 84, \mathrm{CZ} on output 44, output 85, \mathrm{CZ} on output 44, output 88, \mathrm{CZ} on output 44, output 91, \mathrm{CZ} on output 44, output 92, \mathrm{CZ} on output 44, output 94, \mathrm{CZ} on output 44, output 95, \mathrm{CZ} on output 44, output 98, \mathrm{CZ} on output 44, check 100, \mathrm{CZ} on output 44, check 101, \mathrm{CZ} on output 44, check 103, \mathrm{CZ} on output 44, check 104, \mathrm{CZ} on output 44, check 105, \mathrm{CZ} on output 44, check 108, \mathrm{CZ} on output 44, check 109, \mathrm{CZ} on output 44, check 110, \mathrm{CZ} on output 45, output 47, \mathrm{CZ} on output 45, output 50, \mathrm{CZ} on output 45, output 53, \mathrm{CZ} on output 45, output 56, \mathrm{CZ} on output 45, output 57, \mathrm{CZ} on output 45, output 58, \mathrm{CZ} on output 45, output 59, \mathrm{CZ} on output 45, output 60, \mathrm{CZ} on output 45, output 67, \mathrm{CZ} on output 45, output 69, \mathrm{CZ} on output 45, output 72, \mathrm{CZ} on output 45, output 76, \mathrm{CZ} on output 45, output 80, \mathrm{CZ} on output 45, output 82, \mathrm{CZ} on output 45, output 84, \mathrm{CZ} on output 45, output 85, \mathrm{CZ} on output 45, output 87, \mathrm{CZ} on output 45, output 88, \mathrm{CZ} on output 45, output 89, \mathrm{CZ} on output 45, output 91, \mathrm{CZ} on output 45, output 92, \mathrm{CZ} on output 45, output 94, \mathrm{CZ} on output 45, output 98, \mathrm{CZ} on output 45, check 100, \mathrm{CZ} on output 45, check 102, \mathrm{CZ} on output 45, check 103, \mathrm{CZ} on output 45, check 105, \mathrm{CZ} on output 45, check 106, \mathrm{CZ} on output 45, check 109, \mathrm{CZ} on output 45, check 110, \mathrm{CZ} on output 47, output 50, \mathrm{CZ} on output 47, output 54, \mathrm{CZ} on output 47, output 55, \mathrm{CZ} on output 47, output 56, \mathrm{CZ} on output 47, output 57, \mathrm{CZ} on output 47, output 58, \mathrm{CZ} on output 47, output 60, \mathrm{CZ} on output 47, output 65, \mathrm{CZ} on output 47, output 71, \mathrm{CZ} on output 47, output 73, \mathrm{CZ} on output 47, output 74, \mathrm{CZ} on output 47, output 76, \mathrm{CZ} on output 47, output 78, \mathrm{CZ} on output 47, output 84, \mathrm{CZ} on output 47, output 85, \mathrm{CZ} on output 47, output 88, \mathrm{CZ} on output 47, output 91, \mathrm{CZ} on output 47, output 92, \mathrm{CZ} on output 47, output 94, \mathrm{CZ} on output 47, output 95, \mathrm{CZ} on output 47, output 98, \mathrm{CZ} on output 47, check 100, \mathrm{CZ} on output 47, check 101, \mathrm{CZ} on output 47, check 103, \mathrm{CZ} on output 47, check 104, \mathrm{CZ} on output 47, check 105, \mathrm{CZ} on output 47, check 108, \mathrm{CZ} on output 47, check 109, \mathrm{CZ} on output 47, check 110, \mathrm{CZ} on output 50, output 54, \mathrm{CZ} on output 50, output 55, \mathrm{CZ} on output 50, output 56, \mathrm{CZ} on output 50, output 57, \mathrm{CZ} on output 50, output 58, \mathrm{CZ} on output 50, output 60, \mathrm{CZ} on output 50, output 65, \mathrm{CZ} on output 50, output 71, \mathrm{CZ} on output 50, output 73, \mathrm{CZ} on output 50, output 74, \mathrm{CZ} on output 50, output 76, \mathrm{CZ} on output 50, output 78, \mathrm{CZ} on output 50, output 84, \mathrm{CZ} on output 50, output 85, \mathrm{CZ} on output 50, output 88, \mathrm{CZ} on output 50, output 91, \mathrm{CZ} on output 50, output 92, \mathrm{CZ} on output 50, output 94, \mathrm{CZ} on output 50, output 95, \mathrm{CZ} on output 50, output 98, \mathrm{CZ} on output 50, check 100, \mathrm{CZ} on output 50, check 101, \mathrm{CZ} on output 50, check 103, \mathrm{CZ} on output 50, check 104, \mathrm{CZ} on output 50, check 105, \mathrm{CZ} on output 50, check 108, \mathrm{CZ} on output 50, check 109, \mathrm{CZ} on output 50, 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 101, \mathrm{CZ} on output 53, check 102, \mathrm{CZ} on output 53, check 103, \mathrm{CZ} on output 53, check 104, \mathrm{CZ} on output 53, check 106, \mathrm{CZ} on output 53, check 108, \mathrm{CZ} on output 54, output 56, \mathrm{CZ} on output 54, output 57, \mathrm{CZ} on output 54, output 58, \mathrm{CZ} on output 54, output 59, \mathrm{CZ} on output 54, output 60, \mathrm{CZ} on output 54, output 67, \mathrm{CZ} on output 54, output 69, \mathrm{CZ} on output 54, output 72, \mathrm{CZ} on output 54, output 76, \mathrm{CZ} on output 54, output 80, \mathrm{CZ} on output 54, output 82, \mathrm{CZ} on output 54, output 84, \mathrm{CZ} on output 54, output 85, \mathrm{CZ} on output 54, output 87, \mathrm{CZ} on output 54, output 88, \mathrm{CZ} on output 54, output 89, \mathrm{CZ} on output 54, output 91, \mathrm{CZ} on output 54, output 92, \mathrm{CZ} on output 54, output 94, \mathrm{CZ} on output 54, output 98, \mathrm{CZ} on output 54, check 102, \mathrm{CZ} on output 54, check 105, \mathrm{CZ} on output 54, check 106, \mathrm{CZ} on output 54, check 109, \mathrm{CZ} on output 54, check 110, \mathrm{CZ} on output 55, output 56, \mathrm{CZ} on output 55, output 57, \mathrm{CZ} on output 55, output 58, \mathrm{CZ} on output 55, output 59, \mathrm{CZ} on output 55, output 60, \mathrm{CZ} on output 55, output 67, \mathrm{CZ} on output 55, output 69, \mathrm{CZ} on output 55, output 72, \mathrm{CZ} on output 55, output 76, \mathrm{CZ} on output 55, output 80, \mathrm{CZ} on output 55, output 82, \mathrm{CZ} on output 55, output 84, \mathrm{CZ} on output 55, output 85, \mathrm{CZ} on output 55, output 87, \mathrm{CZ} on output 55, output 88, \mathrm{CZ} on output 55, output 89, \mathrm{CZ} on output 55, output 91, \mathrm{CZ} on output 55, output 92, \mathrm{CZ} on output 55, output 94, \mathrm{CZ} on output 55, output 98, \mathrm{CZ} on output 55, check 102, \mathrm{CZ} on output 55, check 105, \mathrm{CZ} on output 55, check 106, \mathrm{CZ} on output 55, check 109, \mathrm{CZ} on output 55, check 110, \mathrm{CZ} on output 56, output 57, \mathrm{CZ} on output 56, output 58, \mathrm{CZ} on output 56, output 60, \mathrm{CZ} on output 56, output 65, \mathrm{CZ} on output 56, output 71, \mathrm{CZ} on output 56, output 73, \mathrm{CZ} on output 56, output 74, \mathrm{CZ} on output 56, output 76, \mathrm{CZ} on output 56, output 78, \mathrm{CZ} on output 56, output 84, \mathrm{CZ} on output 56, output 85, \mathrm{CZ} on output 56, output 88, \mathrm{CZ} on output 56, output 91, \mathrm{CZ} on output 56, output 92, \mathrm{CZ} on output 56, output 94, \mathrm{CZ} on output 56, output 95, \mathrm{CZ} on output 56, output 98, \mathrm{CZ} on output 56, check 100, \mathrm{CZ} on output 56, check 101, \mathrm{CZ} on output 56, check 103, \mathrm{CZ} on output 56, check 104, \mathrm{CZ} on output 56, check 105, \mathrm{CZ} on output 56, check 108, \mathrm{CZ} on output 56, check 109, \mathrm{CZ} on output 56, check 110, \mathrm{CZ} on output 57, output 58, \mathrm{CZ} on output 57, output 60, \mathrm{CZ} on output 57, output 65, \mathrm{CZ} on output 57, output 71, \mathrm{CZ} on output 57, output 73, \mathrm{CZ} on output 57, output 74, \mathrm{CZ} on output 57, output 76, \mathrm{CZ} on output 57, output 78, \mathrm{CZ} on output 57, output 84, \mathrm{CZ} on output 57, output 85, \mathrm{CZ} on output 57, output 88, \mathrm{CZ} on output 57, output 91, \mathrm{CZ} on output 57, output 92, \mathrm{CZ} on output 57, output 94, \mathrm{CZ} on output 57, output 95, \mathrm{CZ} on output 57, output 98, \mathrm{CZ} on output 57, check 100, \mathrm{CZ} on output 57, check 101, \mathrm{CZ} on output 57, check 103, \mathrm{CZ} on output 57, check 104, \mathrm{CZ} on output 57, check 105, \mathrm{CZ} on output 57, check 108, \mathrm{CZ} on output 57, check 109, \mathrm{CZ} on output 57, check 110, \mathrm{CZ} on output 58, output 60, \mathrm{CZ} on output 58, output 65, \mathrm{CZ} on output 58, output 71, \mathrm{CZ} on output 58, output 73, \mathrm{CZ} on output 58, output 74, \mathrm{CZ} on output 58, output 76, \mathrm{CZ} on output 58, output 78, \mathrm{CZ} on output 58, output 84, \mathrm{CZ} on output 58, output 85, \mathrm{CZ} on output 58, output 88, \mathrm{CZ} on output 58, output 91, \mathrm{CZ} on output 58, output 92, \mathrm{CZ} on output 58, output 94, \mathrm{CZ} on output 58, output 95, \mathrm{CZ} on output 58, output 98, \mathrm{CZ} on output 58, check 100, \mathrm{CZ} on output 58, check 101, \mathrm{CZ} on output 58, check 103, \mathrm{CZ} on output 58, check 104, \mathrm{CZ} on output 58, check 105, \mathrm{CZ} on output 58, check 108, \mathrm{CZ} on output 58, check 109, \mathrm{CZ} on output 58, 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 101, \mathrm{CZ} on output 59, check 102, \mathrm{CZ} on output 59, check 103, \mathrm{CZ} on output 59, check 104, \mathrm{CZ} on output 59, check 106, \mathrm{CZ} on output 59, check 108, \mathrm{CZ} on output 60, output 65, \mathrm{CZ} on output 60, output 71, \mathrm{CZ} on output 60, output 73, \mathrm{CZ} on output 60, output 74, \mathrm{CZ} on output 60, output 76, \mathrm{CZ} on output 60, output 78, \mathrm{CZ} on output 60, output 84, \mathrm{CZ} on output 60, output 85, \mathrm{CZ} on output 60, output 88, \mathrm{CZ} on output 60, output 91, \mathrm{CZ} on output 60, output 92, \mathrm{CZ} on output 60, output 94, \mathrm{CZ} on output 60, output 95, \mathrm{CZ} on output 60, output 98, \mathrm{CZ} on output 60, check 100, \mathrm{CZ} on output 60, check 101, \mathrm{CZ} on output 60, check 103, \mathrm{CZ} on output 60, check 104, \mathrm{CZ} on output 60, check 105, \mathrm{CZ} on output 60, check 108, \mathrm{CZ} on output 60, check 109, \mathrm{CZ} on output 60, check 110, \mathrm{CZ} on output 65, output 67, \mathrm{CZ} on output 65, output 69, \mathrm{CZ} on output 65, output 72, \mathrm{CZ} on output 65, output 76, \mathrm{CZ} on output 65, output 80, \mathrm{CZ} on output 65, output 82, \mathrm{CZ} on output 65, output 84, \mathrm{CZ} on output 65, output 85, \mathrm{CZ} on output 65, output 87, \mathrm{CZ} on output 65, output 88, \mathrm{CZ} on output 65, output 89, \mathrm{CZ} on output 65, output 91, \mathrm{CZ} on output 65, output 92, \mathrm{CZ} on output 65, output 94, \mathrm{CZ} on output 65, output 98, \mathrm{CZ} on output 65, check 102, \mathrm{CZ} on output 65, check 105, \mathrm{CZ} on output 65, check 106, \mathrm{CZ} on output 65, check 109, \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 101, \mathrm{CZ} on output 67, check 102, \mathrm{CZ} on output 67, check 103, \mathrm{CZ} on output 67, check 104, \mathrm{CZ} on output 67, check 106, \mathrm{CZ} on output 67, check 108, \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 101, \mathrm{CZ} on output 69, check 102, \mathrm{CZ} on output 69, check 103, \mathrm{CZ} on output 69, check 104, \mathrm{CZ} on output 69, check 106, \mathrm{CZ} on output 69, check 108, \mathrm{CZ} on output 71, output 72, \mathrm{CZ} on output 71, output 76, \mathrm{CZ} on output 71, output 80, \mathrm{CZ} on output 71, output 82, \mathrm{CZ} on output 71, output 84, \mathrm{CZ} on output 71, output 85, \mathrm{CZ} on output 71, output 87, \mathrm{CZ} on output 71, output 88, \mathrm{CZ} on output 71, output 89, \mathrm{CZ} on output 71, output 91, \mathrm{CZ} on output 71, output 92, \mathrm{CZ} on output 71, output 94, \mathrm{CZ} on output 71, output 98, \mathrm{CZ} on output 71, check 102, \mathrm{CZ} on output 71, check 105, \mathrm{CZ} on output 71, check 106, \mathrm{CZ} on output 71, check 109, \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 101, \mathrm{CZ} on output 72, check 102, \mathrm{CZ} on output 72, check 103, \mathrm{CZ} on output 72, check 104, \mathrm{CZ} on output 72, check 106, \mathrm{CZ} on output 72, check 108, \mathrm{CZ} on output 73, output 76, \mathrm{CZ} on output 73, output 80, \mathrm{CZ} on output 73, output 82, \mathrm{CZ} on output 73, output 84, \mathrm{CZ} on output 73, output 85, \mathrm{CZ} on output 73, output 87, \mathrm{CZ} on output 73, output 88, \mathrm{CZ} on output 73, output 89, \mathrm{CZ} on output 73, output 91, \mathrm{CZ} on output 73, output 92, \mathrm{CZ} on output 73, output 94, \mathrm{CZ} on output 73, output 98, \mathrm{CZ} on output 73, check 102, \mathrm{CZ} on output 73, check 105, \mathrm{CZ} on output 73, check 106, \mathrm{CZ} on output 73, check 109, \mathrm{CZ} on output 73, check 110, \mathrm{CZ} on output 74, output 76, \mathrm{CZ} on output 74, output 80, \mathrm{CZ} on output 74, output 82, \mathrm{CZ} on output 74, output 84, \mathrm{CZ} on output 74, output 85, \mathrm{CZ} on output 74, output 87, \mathrm{CZ} on output 74, output 88, \mathrm{CZ} on output 74, output 89, \mathrm{CZ} on output 74, output 91, \mathrm{CZ} on output 74, output 92, \mathrm{CZ} on output 74, output 94, \mathrm{CZ} on output 74, output 98, \mathrm{CZ} on output 74, check 102, \mathrm{CZ} on output 74, check 105, \mathrm{CZ} on output 74, check 106, \mathrm{CZ} on output 74, check 109, \mathrm{CZ} on output 74, check 110, \mathrm{CZ} on output 76, output 78, \mathrm{CZ} on output 76, output 84, \mathrm{CZ} on output 76, output 85, \mathrm{CZ} on output 76, output 88, \mathrm{CZ} on output 76, output 91, \mathrm{CZ} on output 76, output 92, \mathrm{CZ} on output 76, output 94, \mathrm{CZ} on output 76, output 95, \mathrm{CZ} on output 76, output 98, \mathrm{CZ} on output 76, check 100, \mathrm{CZ} on output 76, check 101, \mathrm{CZ} on output 76, check 103, \mathrm{CZ} on output 76, check 104, \mathrm{CZ} on output 76, check 105, \mathrm{CZ} on output 76, check 108, \mathrm{CZ} on output 76, check 109, \mathrm{CZ} on output 76, check 110, \mathrm{CZ} on output 78, output 80, \mathrm{CZ} on output 78, output 82, \mathrm{CZ} on output 78, output 84, \mathrm{CZ} on output 78, output 85, \mathrm{CZ} on output 78, output 87, \mathrm{CZ} on output 78, output 88, \mathrm{CZ} on output 78, output 89, \mathrm{CZ} on output 78, output 91, \mathrm{CZ} on output 78, output 92, \mathrm{CZ} on output 78, output 94, \mathrm{CZ} on output 78, output 98, \mathrm{CZ} on output 78, check 102, \mathrm{CZ} on output 78, check 105, \mathrm{CZ} on output 78, check 106, \mathrm{CZ} on output 78, check 109, \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 101, \mathrm{CZ} on output 80, check 102, \mathrm{CZ} on output 80, check 103, \mathrm{CZ} on output 80, check 104, \mathrm{CZ} on output 80, check 106, \mathrm{CZ} on output 80, check 108, \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 101, \mathrm{CZ} on output 82, check 102, \mathrm{CZ} on output 82, check 103, \mathrm{CZ} on output 82, check 104, \mathrm{CZ} on output 82, check 106, \mathrm{CZ} on output 82, check 108, \mathrm{CZ} on output 84, output 85, \mathrm{CZ} on output 84, output 88, \mathrm{CZ} on output 84, output 91, \mathrm{CZ} on output 84, output 92, \mathrm{CZ} on output 84, output 94, \mathrm{CZ} on output 84, output 95, \mathrm{CZ} on output 84, output 98, \mathrm{CZ} on output 84, check 100, \mathrm{CZ} on output 84, check 101, \mathrm{CZ} on output 84, check 103, \mathrm{CZ} on output 84, check 104, \mathrm{CZ} on output 84, check 105, \mathrm{CZ} on output 84, check 108, \mathrm{CZ} on output 84, check 109, \mathrm{CZ} on output 84, check 110, \mathrm{CZ} on output 85, output 88, \mathrm{CZ} on output 85, output 91, \mathrm{CZ} on output 85, output 92, \mathrm{CZ} on output 85, output 94, \mathrm{CZ} on output 85, output 95, \mathrm{CZ} on output 85, output 98, \mathrm{CZ} on output 85, check 100, \mathrm{CZ} on output 85, check 101, \mathrm{CZ} on output 85, check 103, \mathrm{CZ} on output 85, check 104, \mathrm{CZ} on output 85, check 105, \mathrm{CZ} on output 85, check 108, \mathrm{CZ} on output 85, check 109, \mathrm{CZ} on output 85, 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 101, \mathrm{CZ} on output 87, check 102, \mathrm{CZ} on output 87, check 103, \mathrm{CZ} on output 87, check 104, \mathrm{CZ} on output 87, check 106, \mathrm{CZ} on output 87, check 108, \mathrm{CZ} on output 88, output 91, \mathrm{CZ} on output 88, output 92, \mathrm{CZ} on output 88, output 94, \mathrm{CZ} on output 88, output 95, \mathrm{CZ} on output 88, output 98, \mathrm{CZ} on output 88, check 100, \mathrm{CZ} on output 88, check 101, \mathrm{CZ} on output 88, check 103, \mathrm{CZ} on output 88, check 104, \mathrm{CZ} on output 88, check 105, \mathrm{CZ} on output 88, check 108, \mathrm{CZ} on output 88, check 109, \mathrm{CZ} on output 88, check 110, \mathrm{CZ} on output 89, output 95, \mathrm{CZ} on output 89, check 100, \mathrm{CZ} on output 89, check 101, \mathrm{CZ} on output 89, check 102, \mathrm{CZ} on output 89, check 103, \mathrm{CZ} on output 89, check 104, \mathrm{CZ} on output 89, check 106, \mathrm{CZ} on output 89, check 108, \mathrm{CZ} on output 91, output 92, \mathrm{CZ} on output 91, output 94, \mathrm{CZ} on output 91, output 95, \mathrm{CZ} on output 91, output 98, \mathrm{CZ} on output 91, check 100, \mathrm{CZ} on output 91, check 101, \mathrm{CZ} on output 91, check 103, \mathrm{CZ} on output 91, check 104, \mathrm{CZ} on output 91, check 105, \mathrm{CZ} on output 91, check 108, \mathrm{CZ} on output 91, check 109, \mathrm{CZ} on output 91, check 110, \mathrm{CZ} on output 92, output 94, \mathrm{CZ} on output 92, output 95, \mathrm{CZ} on output 92, output 98, \mathrm{CZ} on output 92, check 100, \mathrm{CZ} on output 92, check 101, \mathrm{CZ} on output 92, check 103, \mathrm{CZ} on output 92, check 104, \mathrm{CZ} on output 92, check 105, \mathrm{CZ} on output 92, check 108, \mathrm{CZ} on output 92, check 109, \mathrm{CZ} on output 92, check 110, \mathrm{CZ} on output 94, output 95, \mathrm{CZ} on output 94, output 98, \mathrm{CZ} on output 94, check 100, \mathrm{CZ} on output 94, check 101, \mathrm{CZ} on output 94, check 103, \mathrm{CZ} on output 94, check 104, \mathrm{CZ} on output 94, check 105, \mathrm{CZ} on output 94, check 108, \mathrm{CZ} on output 94, check 109, \mathrm{CZ} on output 94, check 110, \mathrm{CZ} on output 95, output 98, \mathrm{CZ} on output 95, check 102, \mathrm{CZ} on output 95, check 105, \mathrm{CZ} on output 95, check 106, \mathrm{CZ} on output 95, check 109, \mathrm{CZ} on output 95, check 110, \mathrm{CZ} on output 98, check 100, \mathrm{CZ} on output 98, check 101, \mathrm{CZ} on output 98, check 103, \mathrm{CZ} on output 98, check 104, \mathrm{CZ} on output 98, check 105, \mathrm{CZ} on output 98, check 108, \mathrm{CZ} on output 98, check 109, \mathrm{CZ} on output 98, check 110, \mathrm{CZ} on check 100, check 102, \mathrm{CZ} on check 100, check 103, \mathrm{CZ} on check 100, check 105, \mathrm{CZ} on check 100, check 106, \mathrm{CZ} on check 100, check 109, \mathrm{CZ} on check 100, check 110, \mathrm{CZ} on check 101, check 102, \mathrm{CZ} on check 101, check 105, \mathrm{CZ} on check 101, check 106, \mathrm{CZ} on check 101, check 109, \mathrm{CZ} on check 101, check 110, \mathrm{CZ} on check 102, check 103, \mathrm{CZ} on check 102, check 104, \mathrm{CZ} on check 102, check 106, \mathrm{CZ} on check 102, check 108, \mathrm{CZ} on check 103, check 104, \mathrm{CZ} on check 103, check 106, \mathrm{CZ} on check 103, check 107, \mathrm{CZ} on check 103, check 109, \mathrm{CZ} on check 104, check 106, \mathrm{CZ} on check 104, check 107, \mathrm{CZ} on check 104, check 109, \mathrm{CZ} on check 105, check 107, \mathrm{CZ} on check 105, check 108, \mathrm{CZ} on check 105, check 109, \mathrm{CZ} on check 106, check 108, \mathrm{CZ} on check 107, check 110, \mathrm{CZ} on check 108, check 109, \mathrm{CZ} on check 108, check 110, \mathrm{CZ} on check 109, check 110
Or no Clifford gate at all: run \mathrm{T}^3 on rotations 7, 8, 9, 10, 15, 21, 26, 27, 30, 32, 39, 42, 46, 63, 66, 68, 69, 72, 74, 75, 79, 80, 84, 88 and 145 more (listed below); \mathrm{T}^5 on rotations 2, 4, 6, 12, 14, 20, 25, 28, 29, 33, 40, 44, 45, 48, 49, 53, 57, 58, 60, 70, 83, 85, 92, 93 and 3 more (listed below); \mathrm{T}^\dagger on rotations 1, 3, 5, 11, 13, 17, 18, 19, 22, 24, 31, 34, 35, 37, 38, 51, 61, 62, 64, 65, 67, 71, 73, 78 and 7 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 169 rotations at T³
7, 8, 9, 10, 15, 21, 26, 27, 30, 32, 39, 42, 46, 63, 66, 68, 69, 72, 74, 75, 79, 80, 84, 88, 91, 102, 105, 118, 120, 122, 123, 124, 125, 127, 128, 129, 131, 133, 135, 137, 138, 139, 140, 142, 151, 152, 154, 155, 157, 159, 162, 163, 164, 166, 167, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 185, 186, 187, 188, 191, 193, 194, 196, 199, 200, 201, 204, 205, 206, 211, 212, 215, 217, 218, 221, 223, 225, 227, 228, 230, 233, 235, 236, 238, 239, 242, 256, 257, 258, 260, 262, 263, 264, 268, 271, 274, 276, 277, 279, 281, 284, 287, 289, 290, 294, 297, 299, 301, 302, 303, 307, 309, 315, 316, 321, 323, 325, 326, 328, 329, 330, 331, 335, 337, 339, 340, 341, 343, 345, 346, 347, 348, 349, 351, 352, 353, 354, 359, 361, 364, 365, 368, 369, 372, 374, 376, 377, 379, 382, 384, 386, 388, 389, 390, 393, 402
All 27 rotations at T⁵
2, 4, 6, 12, 14, 20, 25, 28, 29, 33, 40, 44, 45, 48, 49, 53, 57, 58, 60, 70, 83, 85, 92, 93, 99, 103, 207
All 31 rotations at T†
1, 3, 5, 11, 13, 17, 18, 19, 22, 24, 31, 34, 35, 37, 38, 51, 61, 62, 64, 65, 67, 71, 73, 78, 81, 90, 94, 95, 101, 108, 116
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/404.100.3.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-404.100.3.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 4,900 faults of weight 3 are undetectable and damaging, so A_{3}=4{,}900. 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 [0,3,315].
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/paired_column_contraction_404_100_3_4d3f2b938859.json",
"label": "paired_column_contraction_404_100_3_4d3f2b938859",
"N": 111,
"d": 3,
"d_is_exact": true,
"origin": "Wills weighted Reed\u2013Muller parent (weights 1^7,3^2, cutoff 4), with searched graph punctures; 4 paired-column contractions",
"provenance": "gamma frontier release record paired_column_contraction_404_100_3_4d3f2b938859 (source catalogue id paired_column_contraction_404_100_3_4d3f2b938859); construction: Wills weighted Reed\u2013Muller parent (weights 1^7,3^2, cutoff 4), with searched graph punctures; 4 paired-column contractions; matrix 4d3f2b938859db5e...; the release states d=3 (exact), gamma=1.2709166886033836 (exact)",
"notes": "matrix gamma_frontier_release/matrices/4d3f2b938859db5e4707b6f9e5a881a4a2a26c794260e8cd5cea2bad2ce9fbb1.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/404.100.3.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[1026].