> #Generated 6/29/04 #3-cocycle invariants mod 3 #6 element quandles > for j in L do print(convert(j,matrix)); for i from 1 to 35 do print(Knot,i); print(calc3cocInvar(j,bw[i],3)); od; od; writeto(terminal); print(finished); [0 0 0 0 0 0] [ ] [1 1 1 1 1 1] [ ] [2 2 2 2 2 2] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 co3solproccall (t[215] + t[204] + t[208]) 54 + 18 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 72 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 72 Knot, 25 72 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[215] + t[204] + t[208]) (2 t[215] + 2 t[204] + 2 t[208]) 108 + 36 u + 36 u Knot, 33 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 34 72 Knot, 35 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u [0 0 0 0 0 0] [ ] [1 1 1 2 2 2] [ ] [2 2 2 1 1 1] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 co3solproccall (t[215] + t[204] + t[208]) 54 + 18 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 72 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 72 Knot, 25 72 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[215] + t[204] + t[208]) (2 t[215] + 2 t[204] + 2 t[208]) 108 + 36 u + 36 u Knot, 33 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 34 72 Knot, 35 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u [0 0 0 0 1 2] [ ] [1 1 1 2 0 1] [ ] [2 2 2 1 2 0] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 co3solproccall (t[100] + t[107] + t[96]) (t[215] + t[204] + t[208]) 36 + 18 u + 18 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 72 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[100] + t[107] + t[96]) (t[215] + t[204] + t[208]) 36 + 18 u + 18 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[100] + t[107] + t[96]) (t[215] + t[204] + t[208]) 36 + 18 u + 18 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[100] + 2 t[107] + 2 t[96]) 36 + 18 u (2 t[215] + 2 t[204] + 2 t[208]) + 18 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 72 Knot, 25 72 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[96] + 2 t[100] + 2 t[107]) 36 + 18 u (2 t[204] + 2 t[208] + 2 t[215]) + 18 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[100] + t[107] + t[96]) (t[215] + t[204] + t[208]) 36 + 36 u + 36 u (2 t[96] + 2 t[100] + 2 t[107]) + 36 u (2 t[215] + 2 t[204] + 2 t[208]) + 36 u Knot, 33 (2 t[96] + 2 t[100] + 2 t[107]) 36 + 18 u (2 t[215] + 2 t[204] + 2 t[208]) + 18 u Knot, 34 72 Knot, 35 (2 t[96] + 2 t[100] + 2 t[107]) 36 + 18 u (2 t[204] + 2 t[208] + 2 t[215]) + 18 u [0 0 0 1 1 1] [ ] [1 1 1 2 2 2] [ ] [2 2 2 0 0 0] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 co3solproccall (t[215] + t[204] + t[208]) 54 + 18 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 72 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 72 Knot, 25 72 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[215] + t[204] + t[208]) (2 t[215] + 2 t[204] + 2 t[208]) 108 + 36 u + 36 u Knot, 33 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 34 72 Knot, 35 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u [0 0 0 0 0 0] [ ] [1 1 1 1 1 1] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [4 4 5 5 4 4] [ ] [5 5 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 0 0 1 1] [ ] [1 1 1 1 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [4 4 5 5 4 4] [ ] [5 5 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 0 1 0 0] [ ] [1 1 1 0 1 1] [ ] [2 2 2 2 5 4] [ ] [3 3 3 3 3 3] [ ] [4 4 5 4 4 2] [ ] [5 5 4 5 2 5] Knot, 1 co3solproccall (t[215] + t[198] + t[207]) 54 + 18 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 72 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[215] + t[198] + t[207]) 54 + 18 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[215] + t[198] + t[207]) 54 + 18 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[215] + 2 t[198] + 2 t[207]) 54 + 18 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 72 Knot, 25 72 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[198] + 2 t[207] + 2 t[215]) 54 + 18 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[215] + t[198] + t[207]) (2 t[215] + 2 t[198] + 2 t[207]) 108 + 36 u + 36 u Knot, 33 (2 t[215] + 2 t[198] + 2 t[207]) 54 + 18 u Knot, 34 72 Knot, 35 (2 t[198] + 2 t[207] + 2 t[215]) 54 + 18 u [0 0 0 0 0 0] [ ] [1 1 1 1 1 1] [ ] [2 2 2 5 3 4] [ ] [3 3 4 3 5 2] [ ] [4 4 5 2 4 3] [ ] [5 5 3 4 2 5] Knot, 1 co3solproccall 108 Knot, 2 108 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 108 Knot, 10 108 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 108 Knot, 16 36 Knot, 17 36 Knot, 18 108 Knot, 19 108 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 108 Knot, 25 108 Knot, 26 36 Knot, 27 108 Knot, 28 36 Knot, 29 108 Knot, 30 36 Knot, 31 36 Knot, 32 396 Knot, 33 108 Knot, 34 108 Knot, 35 108 [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 2 2] [ ] [3 3 3 3 5 4] [ ] [4 4 4 5 4 3] [ ] [5 5 5 4 3 5] Knot, 1 co3solproccall (t[215] + t[204] + t[208]) 54 + 18 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 72 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[215] + t[204] + t[208]) 54 + 18 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 72 Knot, 25 72 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[215] + t[204] + t[208]) (2 t[215] + 2 t[204] + 2 t[208]) 108 + 36 u + 36 u Knot, 33 (2 t[215] + 2 t[204] + 2 t[208]) 54 + 18 u Knot, 34 72 Knot, 35 (2 t[204] + 2 t[208] + 2 t[215]) 54 + 18 u [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [4 4 5 5 4 4] [ ] [5 5 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 5 3 4] [ ] [3 3 4 3 5 2] [ ] [4 4 5 2 4 3] [ ] [5 5 3 4 2 5] Knot, 1 co3solproccall 108 Knot, 2 108 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 108 Knot, 10 108 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 108 Knot, 16 36 Knot, 17 36 Knot, 18 108 Knot, 19 108 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 108 Knot, 25 108 Knot, 26 36 Knot, 27 108 Knot, 28 36 Knot, 29 108 Knot, 30 36 Knot, 31 36 Knot, 32 396 Knot, 33 108 Knot, 34 108 Knot, 35 108 [0 0 0 0 0 0] [ ] [1 1 4 5 3 2] [ ] [2 3 2 4 5 1] [ ] [3 2 5 3 1 4] [ ] [4 5 1 2 4 3] [ ] [5 4 3 1 2 5] Knot, 1 co3solproccall 36 Knot, 2 156 Knot, 3 156 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 156 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 156 Knot, 23 156 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 156 Knot, 31 36 Knot, 32 156 Knot, 33 36 Knot, 34 36 Knot, 35 156 [0 0 0 0 1 1] [ ] [1 1 1 1 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 0 0 1 1] [ ] [1 1 1 1 2 2] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 0 0] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 1 1 0 0] [ ] [1 1 0 0 1 1] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 4 4 4 4] [ ] [4 4 5 5 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 4 4 4 4] [ ] [4 4 5 5 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [2 2 2 2 3 3] [ ] [3 3 3 3 2 2] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 0 0 5 4] [ ] [1 1 3 2 1 1] [ ] [2 3 2 1 2 2] [ ] [3 2 1 3 3 3] [ ] [5 4 4 4 4 0] [ ] [4 5 5 5 0 5] Knot, 1 co3solproccall (t[215] + t[186] + t[205]) (t[129] + t[118] + t[122]) 72 + 18 u + 18 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 108 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[215] + t[186] + t[205]) (t[129] + t[118] + t[122]) 72 + 18 u + 18 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[215] + t[186] + t[205]) (t[129] + t[118] + t[122]) 72 + 18 u + 18 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[215] + 2 t[186] + 2 t[205]) 72 + 18 u (2 t[129] + 2 t[118] + 2 t[122]) + 18 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 108 Knot, 25 108 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[186] + 2 t[205] + 2 t[215]) 72 + 18 u (2 t[118] + 2 t[122] + 2 t[129]) + 18 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[215] + t[186] + t[205]) (2 t[215] + 2 t[186] + 2 t[205]) 180 + 36 u + 36 u (t[129] + t[118] + t[122]) + 36 u (2 t[129] + 2 t[118] + 2 t[122]) + 36 u Knot, 33 (2 t[215] + 2 t[186] + 2 t[205]) 72 + 18 u (2 t[129] + 2 t[118] + 2 t[122]) + 18 u Knot, 34 108 Knot, 35 (2 t[215] + 2 t[186] + 2 t[205]) 72 + 18 u (2 t[129] + 2 t[118] + 2 t[122]) + 18 u [0 0 0 1 1 1] [ ] [1 1 1 2 2 2] [ ] [2 2 2 0 0 0] [ ] [4 4 4 3 3 3] [ ] [5 5 5 4 4 4] [ ] [3 3 3 5 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 1 1 1 1] [ ] [1 1 0 0 0 0] [ ] [3 3 2 2 3 3] [ ] [2 2 3 3 2 2] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 1 1 2 3] [ ] [1 1 0 0 3 2] [ ] [3 3 2 2 0 1] [ ] [2 2 3 3 1 0] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 1 1 2 3] [ ] [1 1 0 0 3 2] [ ] [3 3 2 2 1 0] [ ] [2 2 3 3 0 1] [ ] [5 5 5 5 4 4] [ ] [4 4 4 4 5 5] Knot, 1 co3solproccall 36 Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 36 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 36 Knot, 12 36 Knot, 13 36 Knot, 14 36 Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 36 Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 36 Knot, 25 36 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 36 Knot, 30 36 Knot, 31 36 Knot, 32 36 Knot, 33 36 Knot, 34 36 Knot, 35 36 [0 0 3 2 2 3] [ ] [1 1 4 5 5 4] [ ] [3 3 2 0 0 2] [ ] [2 2 0 3 3 0] [ ] [5 5 1 4 4 1] [ ] [4 4 5 1 1 5] Knot, 1 co3solproccall (t[134] + t[143] + t[120]) (t[206] + t[215] + t[192]) 36 + 36 u + 36 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 108 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[134] + t[143] + t[120]) (t[206] + t[215] + t[192]) 36 + 36 u + 36 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[134] + t[143] + t[120]) (t[206] + t[215] + t[192]) 36 + 36 u + 36 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[134] + 2 t[143] + 2 t[120]) 36 + 36 u (2 t[206] + 2 t[215] + 2 t[192]) + 36 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 108 Knot, 25 108 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[120] + 2 t[134] + 2 t[143]) 36 + 36 u (2 t[215] + 2 t[206] + 2 t[192]) + 36 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[134] + t[143] + t[120]) (t[206] + t[215] + t[192]) 36 + 72 u + 72 u (2 t[134] + 2 t[143] + 2 t[120]) + 72 u (2 t[215] + 2 t[206] + 2 t[192]) + 72 u Knot, 33 (2 t[134] + 2 t[143] + 2 t[120]) 36 + 36 u (2 t[215] + 2 t[206] + 2 t[192]) + 36 u Knot, 34 108 Knot, 35 (2 t[134] + 2 t[143] + 2 t[120]) 36 + 36 u (2 t[215] + 2 t[206] + 2 t[192]) + 36 u [0 0 3 2 5 4] [ ] [1 1 4 5 2 3] [ ] [3 4 2 0 1 2] [ ] [2 5 0 3 3 1] [ ] [5 2 1 4 4 0] [ ] [4 3 5 1 0 5] Knot, 1 co3solproccall (t[214] + t[200] + t[192]) 36 + 144 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 180 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[214] + t[200] + t[192]) 36 + 144 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[214] + t[200] + t[192]) 36 + 144 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[214] + 2 t[200] + 2 t[192]) 36 + 288 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 324 Knot, 25 180 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[214] + 2 t[200] + 2 t[192]) 36 + 288 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[214] + t[200] + t[192]) (2 t[192] + 2 t[200] + 2 t[214]) 36 + 288 u + 288 u Knot, 33 (2 t[192] + 2 t[200] + 2 t[214]) 36 + 288 u Knot, 34 324 Knot, 35 (2 t[192] + 2 t[200] + 2 t[214]) 36 + 288 u [0 0 5 2 3 4] [ ] [1 1 3 4 5 2] [ ] [3 5 2 1 2 0] [ ] [4 2 0 3 1 3] [ ] [5 3 4 0 4 1] [ ] [2 4 1 5 0 5] Knot, 1 co3solproccall (t[213] + t[194] + t[192]) 36 + 144 u Knot, 2 36 Knot, 3 36 Knot, 4 36 Knot, 5 180 Knot, 6 36 Knot, 7 36 Knot, 8 36 Knot, 9 36 Knot, 10 36 Knot, 11 (t[213] + t[194] + t[192]) 36 + 144 u Knot, 12 36 Knot, 13 36 Knot, 14 (t[213] + t[194] + t[192]) 36 + 144 u Knot, 15 36 Knot, 16 36 Knot, 17 36 Knot, 18 36 Knot, 19 (2 t[213] + 2 t[194] + 2 t[192]) 36 + 288 u Knot, 20 36 Knot, 21 36 Knot, 22 36 Knot, 23 36 Knot, 24 324 Knot, 25 180 Knot, 26 36 Knot, 27 36 Knot, 28 36 Knot, 29 (2 t[213] + 2 t[194] + 2 t[192]) 36 + 288 u Knot, 30 36 Knot, 31 36 Knot, 32 (t[213] + t[194] + t[192]) (2 t[192] + 2 t[194] + 2 t[213]) 36 + 288 u + 288 u Knot, 33 (2 t[192] + 2 t[194] + 2 t[213]) 36 + 288 u Knot, 34 324 Knot, 35 (2 t[192] + 2 t[194] + 2 t[213]) 36 + 288 u