Magma V2.19-8 Wed Aug 21 2013 01:04:50 on localhost [Seed = 3246905768] Type ? for help. Type -D to quit. Loading file "L14n24701__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24701 geometric_solution 12.02847635 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 3 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.382517790167 0.873849336327 0 3 6 5 0132 3012 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.219472220687 1.457648251170 5 0 7 7 0213 0132 0213 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924241695313 1.017590175629 1 4 8 0 1230 0132 0132 0132 0 1 1 1 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 -1 0 0 1 5 -6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576775448512 1.059484189467 9 3 0 10 0132 0132 0132 0132 0 1 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359567715777 1.180638392841 2 11 1 12 0213 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079212899123 0.633672119250 10 8 7 1 1230 3120 1230 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 5 0 0 -5 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.123792225715 0.809785964239 12 2 2 6 3012 0213 0132 3012 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072758536701 0.977297108822 11 6 10 3 3201 3120 0132 0132 0 1 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752912348286 0.803454171993 4 11 12 10 0132 3201 2310 1230 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 -1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424073275932 0.949258022410 9 6 4 8 3012 3012 0132 0132 0 1 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270250037829 0.579579708247 12 5 9 8 0321 0132 2310 2310 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733314178337 0.748439284716 11 9 5 7 0321 3201 0132 1230 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119532783754 0.721846630433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_6']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_7'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0110_7'], 'c_1100_1' : d['c_0110_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_6']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_7'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0101_10, c_0101_11, c_0101_3, c_0101_6, c_0110_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1247504867/102147968*c_1100_0^11 + 7737897737/102147968*c_1100_0^10 + 358173705/12768496*c_1100_0^9 - 32227550513/102147968*c_1100_0^8 - 2743751889/102147968*c_1100_0^7 + 59991944739/102147968*c_1100_0^6 + 12794518799/102147968*c_1100_0^5 - 101588412495/102147968*c_1100_0^4 + 3114830657/25536992*c_1100_0^3 + 78650072797/102147968*c_1100_0^2 + 2817424475/25536992*c_1100_0 - 50033482165/102147968, c_0011_0 - 1, c_0011_10 - c_1100_0 - 1, c_0011_11 + 76/23*c_1100_0^11 + 121/23*c_1100_0^10 - 180/23*c_1100_0^9 - 420/23*c_1100_0^8 + 132/23*c_1100_0^7 + 666/23*c_1100_0^6 - 99/23*c_1100_0^5 - 771/23*c_1100_0^4 - 77/23*c_1100_0^3 + 751/23*c_1100_0^2 + 586/23*c_1100_0 + 172/23, c_0011_12 - 20/23*c_1100_0^11 - 50/23*c_1100_0^10 + 28/23*c_1100_0^9 + 165/23*c_1100_0^8 + 50/23*c_1100_0^7 - 237/23*c_1100_0^6 - 118/23*c_1100_0^5 + 284/23*c_1100_0^4 + 197/23*c_1100_0^3 - 240/23*c_1100_0^2 - 337/23*c_1100_0 - 107/23, c_0011_3 - 45/23*c_1100_0^11 - 101/23*c_1100_0^10 + 63/23*c_1100_0^9 + 331/23*c_1100_0^8 + 78/23*c_1100_0^7 - 493/23*c_1100_0^6 - 208/23*c_1100_0^5 + 570/23*c_1100_0^4 + 380/23*c_1100_0^3 - 494/23*c_1100_0^2 - 649/23*c_1100_0 - 235/23, c_0011_6 - 13/23*c_1100_0^11 - 21/23*c_1100_0^10 + 32/23*c_1100_0^9 + 67/23*c_1100_0^8 - 25/23*c_1100_0^7 - 100/23*c_1100_0^6 + 13/23*c_1100_0^5 + 111/23*c_1100_0^4 + 28/23*c_1100_0^3 - 87/23*c_1100_0^2 - 119/23*c_1100_0 - 50/23, c_0101_10 - 35/23*c_1100_0^11 - 76/23*c_1100_0^10 + 72/23*c_1100_0^9 + 260/23*c_1100_0^8 - 16/23*c_1100_0^7 - 409/23*c_1100_0^6 - 34/23*c_1100_0^5 + 497/23*c_1100_0^4 + 109/23*c_1100_0^3 - 443/23*c_1100_0^2 - 354/23*c_1100_0 - 78/23, c_0101_11 - 45/23*c_1100_0^11 - 101/23*c_1100_0^10 + 63/23*c_1100_0^9 + 331/23*c_1100_0^8 + 78/23*c_1100_0^7 - 493/23*c_1100_0^6 - 208/23*c_1100_0^5 + 570/23*c_1100_0^4 + 357/23*c_1100_0^3 - 517/23*c_1100_0^2 - 649/23*c_1100_0 - 235/23, c_0101_3 - 43/23*c_1100_0^11 - 96/23*c_1100_0^10 + 74/23*c_1100_0^9 + 326/23*c_1100_0^8 + 27/23*c_1100_0^7 - 513/23*c_1100_0^6 - 118/23*c_1100_0^5 + 629/23*c_1100_0^4 + 243/23*c_1100_0^3 - 562/23*c_1100_0^2 - 521/23*c_1100_0 - 130/23, c_0101_6 - 31/23*c_1100_0^11 - 20/23*c_1100_0^10 + 117/23*c_1100_0^9 + 89/23*c_1100_0^8 - 210/23*c_1100_0^7 - 173/23*c_1100_0^6 + 307/23*c_1100_0^5 + 201/23*c_1100_0^4 - 280/23*c_1100_0^3 - 234/23*c_1100_0^2 + 63/23*c_1100_0 + 63/23, c_0110_7 + 51/23*c_1100_0^11 + 93/23*c_1100_0^10 - 122/23*c_1100_0^9 - 323/23*c_1100_0^8 + 91/23*c_1100_0^7 + 525/23*c_1100_0^6 - 74/23*c_1100_0^5 - 646/23*c_1100_0^4 - 32/23*c_1100_0^3 + 589/23*c_1100_0^2 + 389/23*c_1100_0 + 67/23, c_1001_0 - 1, c_1100_0^12 + c_1100_0^11 - 4*c_1100_0^10 - 5*c_1100_0^9 + 7*c_1100_0^8 + 11*c_1100_0^7 - 9*c_1100_0^6 - 15*c_1100_0^5 + 8*c_1100_0^4 + 17*c_1100_0^3 - 9*c_1100_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB