The circuit
The 331\times1301 matrix. Rows are wires and columns are rotations. A 1 means the wire takes part in the rotation, and the number beside each wire is its row weight. Scroll sideways to see every column.
| wire | 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 1000 1010 1020 1030 1040 1050 1060 1070 1080 1090 1100 1110 1120 1130 1140 1150 1160 1170 1180 1190 1200 1210 1220 1230 1240 1250 1260 1270 1280 1290 1300 |
|---|---|
| out 0 (1301) | 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 1 (112) | 1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 2 (88) | 11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1·················································································11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 3 (88) | ·11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1·················································································11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 4 (88) | ··11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1·················································································11111········111·1···1·11···1···1·1·111·1···111·1·11·1111·1111····11·1111··11···11···1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 5 (72) | 1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1··············································································1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 6 (72) | ·1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1··············································································1·11····11111·1·1··1···11·11111···1····1··1··1·1····11····1······1·111·····111···11·····1···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 7 (96) | 1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1············································································1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 8 (96) | ·1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1············································································1·····1111···1··11·111·1·11·····1·1111··1·1111·11··11··111·1111111··11·1111·1····11·······1·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 9 (88) | 1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1··········································································1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 10 (88) | ·1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1··········································································1···1111····1·11·1··111··1·1·111···11·1111·11·111·1111··1·1·······1·1··11··1·1·1·11·········1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 11 (80) | 1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1········································································1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 12 (80) | ·1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1········································································1···11····111···1·1·1·1·1··11·1·1111··1·······1···11·1·11111111111·1····1···1·1···1···········1·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 13 (88) | 1···11··1111·1···1·1··111·1·1··11···1····111·1···1·1·1111·1·1·····1·111·11··11·11111············1······································································1···11··1111·1···1·1··111·1·1··11···1····111·1···1·1·1111·1·1·····1·111·11··11·11111············1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 14 (80) | 111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 15 (80) | ·111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 16 (80) | ··111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 17 (80) | ···111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1·····································································111·1··11········1·1····11·11·111111····11··111·1111···1······1111··11·11···1··11················1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 18 (88) | 1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1·································································1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 19 (88) | ·1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1·································································1·1····1·11···1··11111········1·1···1·1111111·····11·1·111···111111··11···11·111111··················1······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 20 (80) | 1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 21 (80) | ·1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 22 (80) | ··1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 23 (80) | ···1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1·······························································1····1111·1···1·111··11·····11111··1·11·····1·1·11·1·1111·1··11···1···11·11···1·1······················1··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 24 (96) | 1·1··1111········1·1·111·11·111111··11·11··1·1···111·1111·1·11·11·111···11·11··1·1·1·······················1···························································1·1··1111········1·1·111·11·111111··11·11··1·1···111·1111·1·11·11·111···11·11··1·1·1·······················1·································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 25 (80) | 111111····111·1··1·1··1·1·111···11·1··1···11111·111····1·······1·····11·1·····1111·1························1··························································111111····111·1··1·1··1·1·111···11·1··1···11111·111····1·······1·····11·1·····1111·1························1································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 26 (96) | 11·1···1111··111·1·1·····1·1··11·1·111·1111·1·111·1·1·1··1·1·111·1·11··11·1·111·1··1·························1·························································11·1···1111··111·1·1·····1·1··11·1·111·1111·1·111·1·1·1··1·1·111·1·11··11·1·111·1··1·························1································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 27 (80) | 11···111····1··111·1···1··1··11·1··11·1········1····1111111111···111·11···111·····11··························1························································11···111····1··111·1···1··1··11·1··11·1········1····1111111111···111·11···111·····11··························1······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 28 (96) | 11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1·······················································11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 29 (96) | ·11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1·······················································11··11···111111·1··1···11··111···1111··11111·1···1·111·1··1·1··1111····11111··11·11····························1····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 30 (88) | 1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1·····················································1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1···························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 31 (88) | ·1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1·····················································1··111··111··1·111·111·1·11·1·····1·1·1·1···1··111··11·11··111·11·1···1·1··1··111·1······························1··························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 32 (80) | 1···1···11····11····111··1·1·1·1··11111··1·1·11·1·1·1··11·11····1·11··1··1··1·111··1·······························1···················································1···1···11····11····111··1·1·1·1··11111··1·1·11·1·1·1··11·11····1·11··1··1··1·111··1·······························1·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 33 (104) | 111·1·111··11·111111111···1··1·11·1·1·1111·111111···111·····11111·····1111··1·1·1·11································1··················································111·1·111··11·111111111···1··1·11·1·1·1111·111111···111·····11111·····1111··1·1·1·11································1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 34 (80) | 11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1·················································11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 35 (80) | ·11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1·················································11·11·1···11·1111····11····111·1111····1···11·11···111·111·1·······11·11····1·1···1··································1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 36 (88) | 1··11··1·111·1111··11···1···1····1··11··1·11··1····111·11·1···1111·111····1·11·11111···································1···············································1··11··1·111·1111··11···1···1····1··11··1·11··1····111·11·1···1111·111····1·11·11111···································1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 37 (80) | 111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 38 (80) | ·111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 39 (80) | ··111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 40 (80) | ···111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1··············································111···11·1·····11·11·1·1·1··1·11···1··1·1·1·11·111·1·1·······11···11·1··11111··11·······································1·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 41 (88) | 1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1··········································1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 42 (88) | ·1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1··········································1·1····111··111··11···1··1·11·111····1·111·1111······1111··1·1111·111··11·1·····111·········································1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 43 (80) | 1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1········································1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 44 (80) | ·1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1········································1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 45 (80) | ··1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1········································1····1111···1··1111····11··11··111·1·1·11·····11·1·11·11··11··1···11·1··1····111·1············································1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 46 (88) | 1·111111····1·11·1···1·1··1111······111··1···1··1·11···11·11···11··111···11111111··1·············································1·····································1·111111····1·11·1···1·1··1111······111··1···1··1·11···11·11···11··111···11111111··1·············································1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 47 (88) | 1111·····111111111·11·111··1···1··11··1111·1·11·1·····1·····1111···1·1··11·1····1·11··············································1····································1111·····111111111·11·111··1···1··11··1111·1·11·1·····1·····1111···1·1··11·1····1·11··············································1··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 48 (88) | 11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1···································11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 49 (88) | ·11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1···································11·1·11111···1·11··1·1··11···1111·1·11·1···111111··11·1111·1·····1·1····1····111··1················································1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 50 (96) | 1··11·1·····1·11···111····11111·11·111111·11··11··1111····1···1111··111·11··111·1·11·················································1·································1··11·1·····1·11···111····11111·11·111111·11··11··1111····1···1111··111·11··111·1·11·················································1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 51 (88) | 111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1································111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 52 (88) | ·111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1································111···1·111111111111·111···1·····1·11·11··1·11·1·1···1··11···11···1111·11···1·····1···················································1······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 53 (88) | 1··1·111·1···1·11····1··11··1·11··1···1···1111111···1·11111··11··1·1·1·11···11·1·111····················································1······························1··1·111·1···1·11····1··11··1·11··1···1···1111111···1·11111··11··1·1·1·11···11·1·111····················································1····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 54 (88) | 111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1·····························111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1···································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 55 (88) | ·111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1·····························111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 56 (88) | ··111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1·····························111··1···1·11···1·111·11·11·1·1·1·1··1·1111·1·11···11111··1··1··1111······1·1··111·······················································1·································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 57 (80) | 1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1··························1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 58 (80) | ·1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1··························1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 59 (80) | ··1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1··························1·11··11·111···1·11·111··11···1··11······1··1··11·111··1··11··11·1···1··111·1·1··1··························································1······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 60 (96) | 1·111··11··1·1···1·1·1··11····11·1111···111111·1111·11·11111···11·11··1··111··1···11···························································1·······················1·111··11··1·1···1·1·1··11····11·1111···111111·1111·11·11111···11·11··1··111··1···11···························································1······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 61 (80) | 1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1······················1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 62 (80) | ·1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1······················1111··11··11·····1·1··11·11·111·1···1···1···1·1···1·11····1·1111······1111·1·11··11·····························································1···························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 63 (88) | 1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1····················1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1··························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 64 (88) | ·1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1····················1··1··11··11·11··11·11·111·1·1··1··1·11·11·1·11··1·1···111·111·····11·1····11·1·111·······························································1·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 65 (80) | 1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1··················1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 66 (80) | ·1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1··················1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 67 (80) | ··1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1··················1···1·11··11·111111···1··1111·1····1···1·1·····1·1··111·1·1·····11·111···11·1··111··································································1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 68 (80) | 1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1···············1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 69 (80) | ·1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1···············1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 70 (80) | ··1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1···············1·11111·1··111··1····1·1·1·······111·11·11·111··1111··11······1111·····1·11···1··1·····································································1···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 71 (88) | 1·111·····1·1··1111·1··11·1··111··111·1···1·1111·1···1··1·11·1111·1···1·11····11··11······································································1············1·111·····1·1··1111·1··11·1··111··111·1···1·1111·1···1··1·11·1111·1···1·11····11··11······································································1··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 72 (96) | 1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1···········1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 73 (96) | ·1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1···········1111··11111·111·1···11·111·111··1·1·1··1111···11·1111···1···11······1·111···111·111········································································1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 74 (72) | 1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1·········1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 75 (72) | ·1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1·········1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 76 (72) | ··1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1·········1··1··11·······111·11·1··1111······1111·1···11·······1··1111·1··11·11·······11··11···········································································1·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 77 (80) | 1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1······1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 78 (80) | ·1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1······1·1111·11··11·1··1····1··1········11·111··1··1·1·1·11·1··1··1··1·1·····1111·111·111·············································································1············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 79 (80) | 1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1····1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 80 (80) | ·1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1····1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 81 (80) | ··1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1····1·······1··111··111·1··11··11111··111··1··1111·11···11···1···1·11···1·1·1··1·1··11················································································1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 82 (112) | 1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 83 (112) | ·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1·1·111111111·1··1111··1····1111··11·1··1111·1··11·11·1·11·1·11111·11·1·111·1111·1111··················································································1······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 84 (48) | ··············································································································································································································································································································································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··········································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 85 (56) | ··············································································································································································································································································································································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·················································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·········································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 86 (56) | ···············································································································································································································································································································································111··1··111111··1·1··11···1··1···111···1··11·11·111··1·················································111··1··111111··1·1··11···1··1···111···1··11·11·111··1········································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 87 (48) | ··············································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1········································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 88 (48) | ···············································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1······································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 89 (48) | ················································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1······································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 90 (48) | ·················································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1····································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 91 (48) | ··················································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 92 (64) | ··············································································································································································································································································································································1·1111··1·1··1···1111·11·1·1·1·111·1·1····11·1111111········1··········································1·1111··1·1··1···1111·11·1·1·1·111·1·1····11·1111111········1··································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 93 (64) | ··············································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 94 (64) | ···············································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1································································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 95 (64) | ················································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·········································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1································································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 96 (48) | ··············································································································································································································································································································································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1······································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1······························································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 97 (56) | ··············································································································································································································································································································································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1·····································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1······························································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 98 (56) | ··············································································································································································································································································································································11··11·1111····1·1······111··11·1111··11···1111···11··············1····································11··11·1111····1·1······111··11·1111··11···1111···11··············1····························································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 99 (56) | ··············································································································································································································································································································································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1···································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1···························································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 100 (56) | ···············································································································································································································································································································································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1···································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1··························································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 101 (64) | ··············································································································································································································································································································································1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1·································1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1·························································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 102 (64) | ··············································································································································································································································································································································11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1································11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1························································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 103 (56) | ··············································································································································································································································································································································11···111··11··11···1···1·11·111·11·1·1··11···1·1·111···················1·······························11···111··11··11···1···1·11·111·11·1·1··11···1·1·111···················1························································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 104 (48) | ··············································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······················································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 105 (48) | ···············································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······················································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 106 (48) | ················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1····················································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 107 (48) | ·················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1···················································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 108 (48) | ··················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1··················································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 109 (48) | ···················································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1······························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1·················································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 110 (48) | ··············································································································································································································································································································································1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1························1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1················································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 111 (48) | ···············································································································································································································································································································································1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1························1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1················································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 112 (56) | ··············································································································································································································································································································································1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1······················1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1··············································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 113 (48) | ··············································································································································································································································································································································1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1·····················1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1·············································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 114 (48) | ··············································································································································································································································································································································11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1····················11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1············································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 115 (64) | ··············································································································································································································································································································································11·11······111·11·1·11111·1··1·1··11111··11·11··1111·······························1···················11·11······111·11·1·11111·1··1·1··11111··11·11··1111·······························1············································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 116 (48) | ··············································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··········································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 117 (48) | ···············································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1·········································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 118 (48) | ················································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1··················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1········································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 119 (40) | ··············································································································································································································································································································································1·1···1···1111·······11··1···1·1·····11······11·111····································1···············1·1···1···1111·······11··1···1·1·····11······11·111····································1········································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 120 (40) | ···············································································································································································································································································································································1·1···1···1111·······11··1···1·1·····11······11·111····································1···············1·1···1···1111·······11··1···1·1·····11······11·111····································1······································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 121 (48) | ··············································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1······································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 122 (48) | ···············································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1····································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 123 (48) | ················································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1···································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 124 (48) | ·················································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1··································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 125 (48) | ··················································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·············1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 126 (56) | ··············································································································································································································································································································································1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1········1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1································································································································································································································································································································································································································································································································································································································································································································································································· |
| check 127 (56) | ··············································································································································································································································································································································111··11·1·1111····111··1··11··1·11·1·1·1·1··1····111···········································1·······111··11·1·1111····111··1··11··1·11·1·1·1·1··1····111···········································1································································································································································································································································································································································································································································································································································································································································································································································································ |
| check 128 (48) | ··············································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······························································································································································································································································································································································································································································································································································································································································································································································································· |
| check 129 (48) | ···············································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······························································································································································································································································································································································································································································································································································································································································································································································································ |
| check 130 (48) | ················································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1····························································································································································································································································································································································································································································································································································································································································································································································································· |
| check 131 (48) | ·················································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1···························································································································································································································································································································································································································································································································································································································································································································································································· |
| check 132 (56) | ··············································································································································································································································································································································1·11·1·····1·1111·1·1··11·11··1··1··11·1·11·11··1·11················································1··1·11·1·····1·1111·1·1··11·11··1··1··11·1·11·11··1·11················································1··························································································································································································································································································································································································································································································································································································································································································································································································· |
| check 133 (48) | ··············································································································································································································································································································································111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·························································································································································································································································································································································································································································································································································································································································································································································································· |
| check 134 (48) | ···············································································································································································································································································································································111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1·111···1·1·1···11···1····111····1·1111···1··1··1·111··················································1························································································································································································································································································································································································································································································································································································································································································································································································· |
| check 135 (52) | ····························································································································································································································································································································································································································································································································································1·1····11··1111·1111·····1·11111··1·1····111···11·1··················································1·1····11··1111·1111·····1·11111··1·1····111···11·1································································································································································································································································································································································································································································································································································································································· |
| check 136 (52) | ·······························································································································································································································································································································································································································································································································································11··1··11·11···11·1···11··111·111·11··1·1·1·1···11···················································11··1··11·11···11·1···11··111·111·11··1·1·1·1···11······························································································································································································································································································································································································································································································································································································································· |
| check 137 (52) | ·····························································································································································································································································································································································································································································································································································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1······························································································································································································································································································································································································································································································································································································································ |
| check 138 (52) | ····························································································································································································································································································································································································································································································································································11·1··11111·····1·1···11·1··11·1···1····111·1·1·11·1··1··············································11·1··11111·····1·1···11·1··11·1···1····111·1·1·11·1··1····························································································································································································································································································································································································································································································································································································································· |
| check 139 (48) | ····························································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1·············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1···························································································································································································································································································································································································································································································································································································································· |
| check 140 (48) | ·····························································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1·············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1··························································································································································································································································································································································································································································································································································································································· |
| check 141 (48) | ······························································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1·············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1·························································································································································································································································································································································································································································································································································································································· |
| check 142 (44) | ····························································································································································································································································································································································································································································································································································1·11···11·1·11······11·1111·1··1··········1111··1·········1··········································1·11···11·1·11······11·1111·1··1··········1111··1·········1························································································································································································································································································································································································································································································································································································································· |
| check 143 (48) | ································································································································································································································································································································································································································································································································································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1·············································1······11··1·111111·11·11·11···1·1····1··11·1··1·······1························································································································································································································································································································································································································································································································································································································ |
| check 144 (52) | ·······························································································································································································································································································································································································································································································································································111·1··111·1·1···1·11····1·1·111111···1···11··1·1········1···········································111·1··111·1·1···1·11····1·1·111111···1···11··1·1········1······················································································································································································································································································································································································································································································································································································································· |
| check 145 (64) | ····························································································································································································································································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·······································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1······················································································································································································································································································································································································································································································································································································································ |
| check 146 (52) | ····························································································································································································································································································································································································································································································································································11·1··1·111···111···11··1··1·11··111··1··11·111···············1······································11·1··1·111···111···11··1··1·11··111··1··11·111···············1····················································································································································································································································································································································································································································································································································································································· |
| check 147 (64) | ······························································································································································································································································································································································································································································································································································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1·······································111··11·11111·1·11111··11··1··1·1·11·1····111111·1···········1···················································································································································································································································································································································································································································································································································································································· |
| check 148 (48) | ····························································································································································································································································································································································································································································································································································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1····································1·1··1···111·1111··11·11····1·1·····1···1·1···11·1·1············1··················································································································································································································································································································································································································································································································································································································· |
| check 149 (56) | ····························································································································································································································································································································································································································································································································································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1···································111·1·1·1··1··11····1··11·1111·1·1·11·1··111·1·1···1·············1·················································································································································································································································································································································································································································································································································································································· |
| check 150 (68) | ·····························································································································································································································································································································································································································································································································································11·11···11111111·11····1·111··111·11·11·11·11111··1··············1···································11·11···11111111·11····1·111··111·11·11·11·11111··1··············1················································································································································································································································································································································································································································································································································································································· |
| check 151 (52) | ·····························································································································································································································································································································································································································································································································································111111111···11·1··1·1·····1·1······111111·11·1····················1··································111111111···11·1··1·1·····1·1······111111·11·1····················1················································································································································································································································································································································································································································································································································································································ |
| check 152 (56) | ·····························································································································································································································································································································································································································································································································································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1·································11·1111··1·11····11··1···1··1·11··1··1111·1·1·111·1················1··············································································································································································································································································································································································································································································································································································································· |
| check 153 (64) | ····························································································································································································································································································································································································································································································································································1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1·······························1···1111··11111·11·111·1··1·1·1·1··1·11111··111··1·1·················1·············································································································································································································································································································································································································································································································································································································· |
| check 154 (64) | ····························································································································································································································································································································································································································································································································································11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1······························11111111··11·1111·1·1·1·1·1·11·1···1·1·111····111··1··················1············································································································································································································································································································································································································································································································································································································· |
| check 155 (60) | ·····························································································································································································································································································································································································································································································································································11··11·1·1·11·1111····1··11···1111111··1·11·1··11·1···················1······························11··11·1·1·11·1111····1··11···1111111··1·11·1··11·1···················1············································································································································································································································································································································································································································································································································································································ |
| check 156 (48) | ····························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1····························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1··········································································································································································································································································································································································································································································································································································································· |
| check 157 (48) | ·····························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1····························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1·········································································································································································································································································································································································································································································································································································································· |
| check 158 (48) | ······························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1····························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1········································································································································································································································································································································································································································································································································································································· |
| check 159 (48) | ·······························································································································································································································································································································································································································································································································································11·11·11··11···1·1··11··1···1111··11·1···1···11·························1····························11·11·11··11···1·1··11··1···1111··11·1···1···11·························1········································································································································································································································································································································································································································································································································································································ |
| check 160 (60) | ····························································································································································································································································································································································································································································································································································1·1·11····1·11·1111··1··1··1·11111·11·11··11·1·111··························1························1·1·11····1·11·1111··1··1··1·11111·11·11··11·1·111··························1······································································································································································································································································································································································································································································································································································································· |
| check 161 (60) | ····························································································································································································································································································································································································································································································································································1·1··111·1···111·1111·1···111·11·1·1···111·1··111··1·························1·······················1·1··111·1···111·1111·1···111·11·1·1···111·1··111··1·························1······································································································································································································································································································································································································································································································································································································ |
| check 162 (44) | ·······························································································································································································································································································································································································································································································································································11·1··1·11·1·1111···1·1·1·1·1·1··1·1·1····1································1·························11·1··1·11·1·1111···1·1·1·1·1·1··1·1·1····1································1····································································································································································································································································································································································································································································································································································································· |
| check 163 (48) | ·····························································································································································································································································································································································································································································································································································1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1······················1·111·1111···1·········1····1·1··11···1·1111·1·11·1···························1···································································································································································································································································································································································································································································································································································································· |
| check 164 (56) | ····························································································································································································································································································································································································································································································································································1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1····················1··1·11··1·11··111···1···1111·1·11···11·1··11··111·1····························1··································································································································································································································································································································································································································································································································································································· |
| check 165 (48) | ····························································································································································································································································································································································································································································································································································1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1···················1111··111····1····1··11······1·1··1111·1·11·1····1·1·····························1·································································································································································································································································································································································································································································································································································································· |
| check 166 (48) | ····························································································································································································································································································································································································································································································································································11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1··················11·····1·11·1·1·11·1·111··111·1·11······1··1····1··1······························1································································································································································································································································································································································································································································································································································································· |
| check 167 (60) | ·····························································································································································································································································································································································································································································································································································1111··11·····11·1·1111111111·1····1·11····111·1·1·1·······························1··················1111··11·····11·1·1111111111·1····1·11····111·1·1·1·······························1································································································································································································································································································································································································································································································································································································ |
| check 168 (48) | ····························································································································································································································································································································································································································································································································································11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1················11·1·1··1·1··11····1··11111·1·1·11·····1···1··1·11··································1······························································································································································································································································································································································································································································································································································································· |
| check 169 (60) | ····························································································································································································································································································································································································································································································································································11··1·1111··11·111111··11·1·1·1··1··1···11111···11···································1···············11··1·1111··11·111111··11·1·1·1··1··1···11111···11···································1······························································································································································································································································································································································································································································································································································································ |
| check 170 (52) | ····························································································································································································································································································································································································································································································································································1··1·1··1·11·111·111·1··1·1··1·11··11·····11·1·1···1··································1··············1··1·1··1·11·111·111·1··1·1··1·11··11·····11·1·1···1··································1····························································································································································································································································································································································································································································································································································································· |
| check 171 (52) | ··································································································································································································································································································································································································································································································································································111·1···1·1111·11····11·1···1·111··111·111·1·····································1···················111·1···1·1111·11····11·1···1·111··111·111·1·····································1···························································································································································································································································································································································································································································································································································································· |
| check 172 (60) | ····························································································································································································································································································································································································································································································································································1111····1·······1111··11·11111·11·1·1·11·111··1·11·1····································1············1111····1·······1111··11·11111·11·1·1·11·111··1·11·1····································1··························································································································································································································································································································································································································································································································································································· |
| check 173 (48) | ····························································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1···········1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1·························································································································································································································································································································································································································································································································································································· |
| check 174 (48) | ·····························································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1···········1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1························································································································································································································································································································································································································································································································································································· |
| check 175 (48) | ······························································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1···········1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1························································································································································································································································································································································································································································································································································································ |
| check 176 (44) | ····························································································································································································································································································································································································································································································································································1·11··111··11·1·····1···111·1·1·····1·111····1·1············································1········1·11··111··11·1·····1···111·1·1·····1·111····1·1············································1······················································································································································································································································································································································································································································································································································································· |
| check 177 (48) | ································································································································································································································································································································································································································································································································································1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1···········1··1······1··11111···1·11·1·1··1···111111·1··1·1·········································1······················································································································································································································································································································································································································································································································································································ |
| check 178 (56) | ····························································································································································································································································································································································································································································································································································1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1······1·1111····1·1··111111·1····1·1·1···1·11·11·11··11··1··········································1····················································································································································································································································································································································································································································································································································································· |
| check 179 (60) | ·····························································································································································································································································································································································································································································································································································1···111··1···1·11··1··1·11·11·1111111·1··111··111·1···········································1······1···111··1···1·11··1··1·11·11·1111111·1··111··111·1···········································1···················································································································································································································································································································································································································································································································································································· |
| check 180 (48) | ····························································································································································································································································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1····11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1··················································································································································································································································································································································································································································································································································································· |
| check 181 (48) | ·····························································································································································································································································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1····11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1·················································································································································································································································································································································································································································································································································································· |
| check 182 (52) | ····························································································································································································································································································································································································································································································································································1··1··11·11···11·1···11··111·111·11··1·1·1·1···11·················································1··1··1··11·11···11·1···11··111·111·11··1·1·1·1···11·················································1················································································································································································································································································································································································································································································································································································· |
| check 183 (48) | ·······························································································································································································································································································································································································································································································································································11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1····11··1·111111·11·11·11···1·1····1··11·1··1·······1···············································1················································································································································································································································································································································································································································································································································································ |
| check 184 (52) | ·······························································································································································································································································································································································································································································································································································1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1···1·1·11···1··1·1·11··1111·11·1·11··1·1···111·1···1················································1··············································································································································································································································································································································································································································································································································································· |
| check 185 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································1··11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······················································································································································································································································································································································································································································· |
| check 186 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································11·1·111···1··11···1··1111··1·1·11·11111·1·····································11·1·111···1··11···1··1111··1·1·11·11111·1······················································································································································································································································································································································································································································ |
| check 187 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································1111···11··1·1···11·1·11·11·1··111111·1···1····································1111···11··1·1···11·1·11·11·1··111111·1···1····················································································································································································································································································································································································································································· |
| check 188 (48) | ·······································································································································································································································································································································································································································································································································································································································································································································································1111···11··1·1···11·1·11·11·1··111111·1···1····································1111···11··1·1···11·1·11·11·1··111111·1···1···················································································································································································································································································································································································································································· |
| check 189 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································1·1··11··1111···11111····1·1·11·111·1·11····1··································1·1··11··1111···11111····1·1·11·111·1·11····1··················································································································································································································································································································································································································································· |
| check 190 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·················································································································································································································································································································································································································································· |
| check 191 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1················································································································································································································································································································································································································································· |
| check 192 (40) | ········································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1················································································································································································································································································································································································································································ |
| check 193 (40) | ·········································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1··············································································································································································································································································································································································································································· |
| check 194 (40) | ··········································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1·············································································································································································································································································································································································································································· |
| check 195 (40) | ···········································································································································································································································································································································································································································································································································································································································································································································································11··1··1··1····11··1111·1·1··111111··········1·································11··1··1··1····11··1111·1·1··111111··········1············································································································································································································································································································································································································································· |
| check 196 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································1··11··1··111··1·11··1··1111·11·····1·1············1···························1··11··1··111··1·11··1··1111·11·····1·1············1············································································································································································································································································································································································································································ |
| check 197 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································1··11··1··111··1·11··1··1111·11·····1·1············1···························1··11··1··111··1·11··1··1111·11·····1·1············1··········································································································································································································································································································································································································································· |
| check 198 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································1·1111···1·1··111·111·111·11···1···1·111·············1·························1·1111···1·1··111·111·111·11···1···1·111·············1·········································································································································································································································································································································································································································· |
| check 199 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1········································································································································································································································································································································································································································· |
| check 200 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································11···1····11·1····111111·1·1·1·····1111···············1························11···1····11·1····111111·1·1·1·····1111···············1········································································································································································································································································································································································································································ |
| check 201 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································1·1·1·11···1····111·11·1·1·11··11··1··1·················1······················1·1·1·11···1····111·11·1·1·11··11··1··1·················1······································································································································································································································································································································································································································· |
| check 202 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································1·1·1·11···1····111·11·1·1·11··11··1··1·················1······················1·1·1·11···1····111·11·1·1·11··11··1··1·················1······································································································································································································································································································································································································································ |
| check 203 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································1·11····11·11··111·11··111·11·1·1111···1··················1····················1·11····11·11··111·11··111·11·1·1111···1··················1····································································································································································································································································································································································································································· |
| check 204 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································11····1··111···1····111··11····1111·11·1···················1···················11····1··111···1····111··11····1111·11·1···················1···································································································································································································································································································································································································································· |
| check 205 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································11111·11··1··1·1·11··1·11·1111···11···11····················1··················11111·11··1··1·1·11··1·11·1111···11···11····················1··································································································································································································································································································································································································································· |
| check 206 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1·································································································································································································································································································································································································································· |
| check 207 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1································································································································································································································································································································································································································· |
| check 208 (40) | ········································································································································································································································································································································································································································································································································································································································································································································································111··1111···1111·1·1·····1·1··1·1·1··1·······················1·················111··1111···1111·1·1·····1·1··1·1·1··1·······················1································································································································································································································································································································································································································ |
| check 209 (32) | ······································································································································································································································································································································································································································································································································································································································································································································································1····11·111·11······1···1····11·11·····1························1··············1····11·111·11······1···1····11·11·····1························1······························································································································································································································································································································································································································· |
| check 210 (56) | ······································································································································································································································································································································································································································································································································································································································································································································································11·11··1·11·1·11111··11·11··11111111·1·1·························1·············11·11··1·11·1·11111··11·11··11111111·1·1·························1······························································································································································································································································································································································································································ |
| check 211 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································1111·11·1·1·1······1···1111·1·11·11·1111··························1············1111·11·1·1·1······1···1111·1·11·11·1111··························1····························································································································································································································································································································································································································· |
| check 212 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································111····1·1··1··1111·1·1··1111··1··1···1····························1···········111····1·1··1··1111·1·1··1111··1··1···1····························1···························································································································································································································································································································································································································· |
| check 213 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································111····1·1··1··1111·1·1··1111··1··1···1····························1···········111····1·1··1··1111·1·1··1111··1··1···1····························1··························································································································································································································································································································································································································· |
| check 214 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································1·1···1··1··11111··11······1··1·11·111·1·····························1·········1·1···1··1··11111··11······1··1·11·111·1·····························1·························································································································································································································································································································································································································· |
| check 215 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································11··1·11··111·1···1·111·1····1·111111·11······························1········11··1·11··111·1···1·111·1····1·111111·11······························1························································································································································································································································································································································································································· |
| check 216 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1························································································································································································································································································································································································································ |
| check 217 (48) | ·······································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1······················································································································································································································································································································································································································· |
| check 218 (48) | ········································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1······················································································································································································································································································································································································································ |
| check 219 (48) | ·········································································································································································································································································································································································································································································································································································································································································································································································111111111·······1111·1·111··111··11·1··································1·······111111111·······1111·1·111··111··11·1··································1····················································································································································································································································································································································································································· |
| check 220 (48) | ······································································································································································································································································································································································································································································································································································································································································································································································1··1·1·1111··1·1111·11·111·1·····111··11···································1···1··1·1·1111··1·1111·11·111·1·····111··11···································1···················································································································································································································································································································································································································· |
| check 221 (40) | ······································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1··················································································································································································································································································································································································································· |
| check 222 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1·················································································································································································································································································································································································································· |
| check 223 (40) | ········································································································································································································································································································································································································································································································································································································································································································································································11·1····111·1111···1·1···11··1··1·1·11······································1··11·1····111·1111···1·1···11··1··1·1·11······································1················································································································································································································································································································································································································· |
| check 224 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1······························1····111·1·111·11·1·111····11·1·111······························1····111·1·111·11·1·111····11·1·11··············································································································································································································································································· |
| check 225 (40) | ·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····························11···1··1111··11·1111··1···1·1111··1·····························11···1··1111··11·1111··1···1·1111················································································································································································································································································ |
| check 226 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····························1·1··1·1··1··1·····1··1·1··1···1····1····························1·1··1·1··1··1·····1··1·1··1···1················································································································································································································································································· |
| check 227 (40) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···························1··1·1·111··11111·1··111·1·1··1··1···1···························1··1·1·111··11111·1··111·1·1··1··1··············································································································································································································································································· |
| check 228 (48) | ········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··························11··11·11·111·1··11111·11·11··1111····1··························11··11·11·111·1··11111·11·11··1111··············································································································································································································································································· |
| check 229 (24) | ·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·························111····11·······1··1····11····11·······1·························111····11·······1··1····11····11················································································································································································································································································· |
| check 230 (48) | ··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1························1·11·1111··111·1111··11··1111·11·1······1························1·11·1111··111·1111··11··1111·11·1··············································································································································································································································································· |
| check 231 (40) | ···········································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·······················11·111··1··1··11·1·111·1··1··111·1·······1·······················11·111··1··1··11·1·111·1··1··111·1··············································································································································································································································································· |
| check 232 (24) | ············································································································································································································································································································································································································································································································································································································································································································································································································································································································································1······················111·1··1···1·1··········1···1··1·1········1······················111·1··1···1·1··········1···1··1·1··············································································································································································································································································· |
| check 233 (48) | ·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····················1111··1111·1·1111·1·111··1·1111··1·········1·····················1111··1111·1·1111·1·111··1·1111··1··············································································································································································································································································· |
| check 234 (48) | ··············································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····················1111111·1·11·11··1111··1··11·1·111··········1····················1111111·1·11·11··1111··1··11·1·111··············································································································································································································································································· |
| check 235 (24) | ···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···················11111········11·1··1··1·1····················1···················11111········11·1··1··1·1························································································································································································································································································ |
| check 236 (48) | ················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··················1·111·11·1·1111·111··111·1·11·1·11············1··················1·111·11·1·1111·111··111·1·11·1·11··············································································································································································································································································· |
| check 237 (48) | ·················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·················11·11·1·1111··1·11·111·11·11·1111··············1·················11·11·1·1111··1·11·111·11·11·1111················································································································································································································································································ |
| check 238 (24) | ··················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1················1·1·1·1···1··1··11······11·····1················1················1·1·1·1···1··1··11······11·····1················································································································································································································································································· |
| check 239 (40) | ···················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···············1··1··1··1··111111··111··1111·1··1···············1···············1··1··1··1··111111··111··1111·1··1··············································································································································································································································································· |
| check 240 (40) | ····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··············11··111··1111·1··1··1··1··1··11111················1··············11··111··1111·1··1··1··1··1··11111··············································································································································································································································································· |
| check 241 (24) | ·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·············111······11·····1···1·1·1···1··1···················1·············111······11·····1···1·1·1···1··1················································································································································································································································································· |
| check 242 (48) | ······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1············1·11·111·11·11·1111·1·11·1·1111··1··················1············1·11·111·11·11·1111·1·11·1·1111··1··············································································································································································································································································· |
| check 243 (48) | ·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···········11·111··111·1·11·1·11·111·11·1·111···················1···········11·111··111·1·11·1·11·111·11·1·111··············································································································································································································································································· |
| check 244 (24) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··········111·1··1··1·1·········1111····························1··········111·1··1··1·1·········1111······················································································································································································································································································· |
| check 245 (48) | ·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·········1·11··1111··1··11·1·111111111·1·11·····················1·········1·11··1111··1··11·1·111111111·1·11··············································································································································································································································································· |
| check 246 (48) | ··························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1········11·1111·1·111··1·1111··1111··1111·······················1········11·1111·1·111··1·1111··1111··1111················································································································································································································································································ |
| check 247 (24) | ···························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·······1·1·1··········1···1··1·111·1··1·························1·······1·1·1··········1···1··1·111·1··1················································································································································································································································································· |
| check 248 (40) | ····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1······1··1··11·1·111·1··1··111·11·111··1························1······1··1··11·1·111·1··1··111·11·111··1··············································································································································································································································································· |
| check 249 (48) | ·····························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····11··111·1111··11··1111·11·1·11·111·························1·····11··111·1111··11··1111·11·1·11·111··············································································································································································································································································· |
| check 250 (24) | ······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····111·······1··1····11····11··11······························1····111·······1··1····11····11··11··················································································································································································································································································· |
| check 251 (48) | ·······························································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···1·11·111·1··11111·11·11··11111··11···························1···1·11·111·1··11111·11·11··11111··11··············································································································································································································································································· |
| check 252 (40) | ································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··11·111··11111·1··111·1·1··1··1··1·····························1··11·111··11111·1··111·1·1··1··1··1················································································································································································································································································ |
| check 253 (24) | ·································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·1··1··1·····1··1·1··1···1···1······························1·1·1·1··1··1·····1··1·1··1···1···1················································································································································································································································································ |
| check 254 (40) | ··································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1··1111··11·1111··1···1·1111·1·······························11··1··1111··11·1111··1···1·1111·1················································································································································································································································································ |
| check 255 (56) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1··1···111·111···1··11111·······1·1·1·······111··1·11·11·11····1·1··1···111·111···1··11111·······1·1·1·······111··1·11·11·11················································································································································································································································································· |
| check 256 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······································································································································································································· |
| check 257 (32) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1·1·1·11·1·11·1111·1·1·····················11··1·1·1·11·1·11·1111·1·1······································································································································································································ |
| check 258 (32) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·1··11·····111111·111··1····················111·1··11·····111111·111··1····································································································································································································· |
| check 259 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1···································································································································································································· |
| check 260 (24) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111······11···11·1··1····1···················11111······11···11·1··1····1··································································································································································································· |
| check 261 (32) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11··1·11·11111···111·1·····1·················1·11··1·11·11111···111·1·····1·································································································································································································· |
| check 262 (32) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1·11·11·11·1·1··111······1················11·1·1·11·11·11·1·1··111······1································································································································································································· |
| check 263 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1································································································································································································ |
| check 264 (24) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··11·······1··1111·1········1···············111··11·······1··1111·1········1······························································································································································································· |
| check 265 (32) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·11·1·1·1·11··11·11·111·········1·············1·11·1·1·1·11··11·11·111·········1······························································································································································································ |
| check 266 (32) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1····························································································································································································· |
| check 267 (32) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·11··111·1·11111··1···········1············11·1·11··111·1·11111··1···········1···························································································································································································· |
| check 268 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·1···1···1·1·1·1············1··········1·111··1·1···1···1·1·1·1············1··························································································································································································· |
| check 269 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·····1111·11······11·············1·········11·1·····1111·11······11·············1·························································································································································································· |
| check 270 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1························································································································································································· |
| check 271 (24) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1························································································································································································ |
| check 272 (24) | ········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1······················································································································································································· |
| check 273 (24) | ·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··111··1··1·1·1·················1········111··1··111··1··1·1·1·················1······················································································································································································ |
| check 274 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·····1·1··1·111·11···11··················1····1·····1·1··1·111·11···11··················1····················································································································································································· |
| check 275 (24) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1···················································································································································································· |
| check 276 (24) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1··················································································································································································· |
| check 277 (24) | ········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1·················································································································································································· |
| check 278 (24) | ·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11·11··1··1·1··11······················1···11··11·11··1··1·1··11······················1················································································································································································· |
| check 279 (24) | ·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···················1111·11····1·111···1·1···················1111·11····1·111···1······························································································· |
| check 280 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1··1··1········1·11·1···1··1·1··11·1111··1··1··1········1·11·1···1··1·1··11·1······························································································· |
| check 281 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1·1··1··1········11·11····1·1···1111··11·1·1··1··1········11·11····1·1···1111································································································· |
| check 282 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··11··1··1········1···1··11·1·1··11·11·11··11··1··1········1···1··11·1·1··11·11································································································ |
| check 283 (24) | ·········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···············1111·1··1··11·11·1·······1···············1111·1··1··11·11·1································································································· |
| check 284 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···11·1··1········1···1111·1··111····1·11···11·1··1········1···1111·1··111····1································································································ |
| check 285 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1·11··1········1·111··1···1·1····11111···1·11··1········1·111··1···1·1····111······························································································· |
| check 286 (32) | ············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1············1··1·1·1111111111·11········1············1··1·1·1111111111·11······························································································· |
| check 287 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··11·1········11·1··11111·1····1···11···1··11·1········11·1··11111·1····1·································································································· |
| check 288 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1·11········11·1··11111··11111·1·11···1··1·11········11·1··11111··11111·1································································································ |
| check 289 (24) | ···············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···········1·11·1··111··1111············1···········1·11·1··111··1111································································································ |
| check 290 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··11·······111·111··111········111···1··1··11·······111·111··111········1······························································································· |
| check 291 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··1·1······111·1111·1··11·1·111·11···1··1··1·1······111·1111·1··11·1·111································································································ |
| check 292 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··1··1·····111111····11··111111·11···1··1··1··1·····111111····11··111111································································································ |
| check 293 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··1···1····1111·111111111······111···1··1··1···1····1111·111111111······1······························································································· |
| check 294 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··1····1···11111·1··1111111····111···1··1··1····1···11111·1··1111111····1······························································································· |
| check 295 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··1·····1··111111·11·1·1111····111···1··1··1·····1··111111·11·1·1111····1······························································································· |
| check 296 (32) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··1······1·111111·1111··········11···1··1··1······1·111111·1111········································································································· |
| check 297 (40) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11···1··1··1·······11111111111·1··11····111···1··1··1·······11111111111·1··11····1······························································································· |
| check 298 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1······111·1··11····1····················1······111·1··11····1······························································································· |
| check 299 (16) | ······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1··1··11111··········1·1··1··11111··························································· |
| check 300 (16) | ······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1·························································· |
| check 301 (16) | ·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1························································· |
| check 302 (16) | ························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1························································ |
| check 303 (16) | ·························································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111·11·1····1·········1111·11·1····1······················································· |
| check 304 (16) | ······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·1·111··1·····1·····1·1·1·111··1·····1······················································ |
| check 305 (16) | ······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111···1··11······1····1111···1··11······1····················································· |
| check 306 (16) | ······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1···················································· |
| check 307 (16) | ·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·111···11········1···11·111···11········1··················································· |
| check 308 (16) | ······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1·················································· |
| check 309 (16) | ·······················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1··1··11111··········1·1··1··11111··········1················································· |
| check 310 (8) | ·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11····11·········11····11······················· |
| check 311 (8) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1···1········1··11···1········1··1··············· |
| check 312 (8) | ········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····11··1·······1····11··1·················· |
| check 313 (8) | ··········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111·····1········111·····1················· |
| check 314 (8) | ········································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1····1·····11····1····1·····11··············· |
| check 315 (8) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·1·····11·······1·1·····11··················· |
| check 316 (8) | ·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11··1······1·····11··1······1··················· |
| check 317 (16) | ····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11·1··11····1··1111·1··11····1··11··············· |
| check 318 (8) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1·111··1·111··· |
| check 319 (8) | ······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1·· |
| check 320 (8) | ·······································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111··1·111··1· |
| check 321 (8) | ·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111 |
| check 322 (32) | ·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111 |
| check 323 (72) | ·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 324 (136) | ·············································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 325 (224) | ·····················································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 326 (336) | ·····································································································································································································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 327 (480) | ·····················································································································································································································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 328 (660) | ·································································································································································································································································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 329 (864) | ·····················································································································································································································································································································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
| check 330 (1134) | ·······································································································································································111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 |
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 n1301Noisy T states per run.
outputs k1
distance d≥ 3A lower bound proved here. Its source certifies d\ge 21, and a fault of weight 21 is shown below, so d=21.
error coefficient A_{3}not definedUndefined while the distance is only a lower bound.
wires N331
checks r330
V_{\mathrm{ex}}1T states per run. CCZ counts as two.
\gamma_\rho = \log(n/V_{\mathrm{ex}})/\log d6.5272Overhead per extractable T state. Lower is better. At the certified d=21: 2.3553.
\gamma = \log(n/k)/\log d6.5272Overhead per output qubit. At the certified d=21: 2.3553.
\gamma_T = \log(n/T)/\log d6.5272Overhead per unit of T-count. At the certified d=21: 2.3553.
T-count1Minimal T-count of the output gate.
phase-polynomial degree1Minimised over changes of output basis.
effective width1Rank of the output rows modulo the check rows.
Output gate
1 T0 CS0 CCZon 1 output wire
As gates: \mathrm{T}_{0}
As monomials: 0 (output wires per term, separated by +)
This row stands for every gate that a CNOT circuit and S, Z and CZ gates on the outputs can reach from this one. They all prepare the same magic state. The wires are shown in the S_k-canonical frame.
Clifford correction
With every rotation a \mathrm{T}=\mathrm{diag}(1,e^{i\pi/4}), the rotations deposit the gate above times a diagonal Clifford. Undo it after the rotations and before the checks are measured, with 25 single-wire gates and 23 \mathrm{CZ} gates: \mathrm{Z} on output 0, \mathrm{Z} on check 135, \mathrm{Z} on check 136, \mathrm{Z} on check 137, \mathrm{Z} on check 138, \mathrm{Z} on check 142, \mathrm{Z} on check 144, \mathrm{Z} on check 146, \mathrm{Z} on check 150, \mathrm{Z} on check 151, \mathrm{Z} on check 155, \mathrm{Z} on check 160, \mathrm{Z} on check 161, \mathrm{Z} on check 162, \mathrm{Z} on check 167, \mathrm{Z} on check 169, \mathrm{Z} on check 170, \mathrm{Z} on check 171, \mathrm{Z} on check 172, \mathrm{Z} on check 176, \mathrm{Z} on check 179, \mathrm{Z} on check 182, \mathrm{Z} on check 184, \mathrm{Z} on check 328 and 24 more (listed below). The circuit's action is then exactly the gate above, and an error-free run passes every check with certainty.
All 48 correction gates
\mathrm{Z} on output 0, \mathrm{Z} on check 135, \mathrm{Z} on check 136, \mathrm{Z} on check 137, \mathrm{Z} on check 138, \mathrm{Z} on check 142, \mathrm{Z} on check 144, \mathrm{Z} on check 146, \mathrm{Z} on check 150, \mathrm{Z} on check 151, \mathrm{Z} on check 155, \mathrm{Z} on check 160, \mathrm{Z} on check 161, \mathrm{Z} on check 162, \mathrm{Z} on check 167, \mathrm{Z} on check 169, \mathrm{Z} on check 170, \mathrm{Z} on check 171, \mathrm{Z} on check 172, \mathrm{Z} on check 176, \mathrm{Z} on check 179, \mathrm{Z} on check 182, \mathrm{Z} on check 184, \mathrm{Z} on check 328, \mathrm{S} on check 330, \mathrm{CZ} on output 0, check 330, \mathrm{CZ} on check 135, check 328, \mathrm{CZ} on check 136, check 328, \mathrm{CZ} on check 137, check 328, \mathrm{CZ} on check 138, check 328, \mathrm{CZ} on check 142, check 328, \mathrm{CZ} on check 144, check 328, \mathrm{CZ} on check 146, check 328, \mathrm{CZ} on check 150, check 328, \mathrm{CZ} on check 151, check 328, \mathrm{CZ} on check 155, check 328, \mathrm{CZ} on check 160, check 328, \mathrm{CZ} on check 161, check 328, \mathrm{CZ} on check 162, check 328, \mathrm{CZ} on check 167, check 328, \mathrm{CZ} on check 169, check 328, \mathrm{CZ} on check 170, check 328, \mathrm{CZ} on check 171, check 328, \mathrm{CZ} on check 172, check 328, \mathrm{CZ} on check 176, check 328, \mathrm{CZ} on check 179, check 328, \mathrm{CZ} on check 182, check 328, \mathrm{CZ} on check 184, check 328
Or no Clifford gate at all: run \mathrm{T}^3 on rotations 1, 4, 6, 8, 10, 12, 13, 17, 19, 23, 24, 25, 26, 27, 29, 31, 32, 33, 35, 36, 40, 42, 45, 46 and 329 more (listed below); \mathrm{T}^5 on rotation 167; \mathrm{T}^\dagger on rotation 0, 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 353 rotations at T³
1, 4, 6, 8, 10, 12, 13, 17, 19, 23, 24, 25, 26, 27, 29, 31, 32, 33, 35, 36, 40, 42, 45, 46, 47, 49, 50, 52, 53, 56, 59, 60, 62, 64, 67, 70, 71, 73, 76, 78, 81, 83, 169, 170, 172, 174, 176, 178, 181, 182, 183, 185, 187, 188, 189, 195, 197, 201, 204, 205, 206, 208, 210, 211, 215, 218, 221, 222, 224, 225, 228, 230, 232, 233, 235, 236, 239, 241, 242, 244, 246, 247, 249, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 336, 341, 342, 345, 346, 347, 348, 350, 351, 352, 353, 359, 361, 362, 363, 364, 365, 368, 370, 375, 376, 377, 381, 382, 384, 436, 437, 439, 444, 445, 448, 449, 450, 451, 453, 454, 455, 456, 462, 464, 465, 466, 467, 468, 471, 473, 478, 479, 480, 484, 485, 487, 539, 540, 542, 543, 545, 547, 550, 551, 553, 559, 561, 565, 566, 567, 568, 569, 570, 571, 576, 577, 578, 581, 582, 583, 584, 588, 591, 637, 641, 643, 644, 646, 648, 651, 652, 654, 660, 662, 666, 667, 668, 669, 670, 671, 672, 677, 678, 679, 682, 683, 684, 685, 689, 692, 738, 742, 743, 745, 746, 752, 754, 755, 757, 759, 760, 761, 762, 765, 766, 767, 768, 770, 771, 772, 776, 777, 780, 820, 823, 826, 827, 828, 829, 830, 832, 835, 837, 842, 843, 848, 852, 853, 854, 857, 858, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898
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/1301.1.3.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-1301.1.3.a.txt", "w") as out:
out.write("\n".join(lines) + "\n")
Distance
3\le d\le 21. No fault of weight below 3 is both undetectable and damaging. None of weight 3 has been found, and one of weight 21 is, so the distance lies between the two.
A damaging fault of weight 21 sits on columns [0,167,334,437,540,641,742,821,900,965,1030,1077,1124,1165,1206,1229,1252,1269,1286,1293,1300].
Its source certifies d\ge 21, as a lower bound. That certificate is not re-checked here, but rankings on this site may use it. With the damaging fault of weight 21 above, it makes the distance exactly d=21. Source: built here by the doubling of Jain and Albert (arXiv:2408.12752) from A. Gong's [[559,1,15]] (github.com/gongaa/RM127, triply-even/): [[167,1,23]] quantum QR code (extended QR [168,84,24]) doubled onto [[967,1,19]]; their doubling theorem (Sec. III) gives d >= min(d_sd, d_tri + 2) = 21, with d_sd at least the classical distance less one (their Lemma 2.4) and the distances of Gong's self-dual [[41,1,9]] and [[65,1,13]] codes proved here by enumerating every word of their stabiliser spaces.
A fault is a set of faulty columns. It is undetectable when their check parts cancel, and damaging when their output parts do not.
Original source
- S. P. Jain and V. V. Albert, "Transversal Clifford and T-gate codes of short length and high distance," IEEE J. Sel. Areas Inf. Theory 6, 127-137 (2025); arXiv:2408.12752. doi.org/10.1109/JSAIT.2025.3570832
- A. Gong, "On some K=1 codes admitting strongly transversal T," note in the RM127 repository, triply-even/ (2025). github.com/gongaa/RM127/tree/main/triply-even
Provenance
a code built here by the doubling method of Jain and Albert (arXiv:2408.12752) from the codes in A. Gong's repository (github.com/gongaa/RM127, triply-even/): her [[559,1,15]] doubled with the self-dual CSS codes of the paper's Table I from distance 17 on (transversal_t_codes/); a verified witness, not a maximum
Found by: Jain-Albert doubling of Gong's codes
Discovery: pre-existing
1 recorded source
[
{
"regime": "Jain-Albert doubling of Gong's codes",
"file": "transversal_t_codes/factories.json",
"label": "GJ-1301",
"N": 331,
"d": 3,
"d_is_exact": false,
"origin": "S. P. Jain and V. V. Albert, \"Transversal Clifford and T-gate codes of short length and high distance\", IEEE J. Sel. Areas Inf. Theory 6, 127 (2025), arXiv:2408.12752; A. Gong, \"On some K=1 codes admitting strongly transversal T\", note in github.com/gongaa/RM127, triply-even/ (2025)",
"provenance": "[[167,1,23]] quantum QR code (extended QR [168,84,24]) doubled onto [[967,1,19]]: the doubling method of Jain and Albert (arXiv:2408.12752) applied to the codes in A. Gong's repository (github.com/gongaa/RM127)"
}
]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/1301.1.3.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[1373].