Magma V2.19-8 Wed Aug 21 2013 01:02:56 on localhost [Seed = 3954045947] Type ? for help. Type -D to quit. Loading file "L14n16543__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n16543 geometric_solution 11.74836712 oriented_manifold CS_known 0.0000000000000003 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 -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 0 1 -1 0 0 -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 0.757843614082 0.759754537019 0 5 7 6 0132 0132 0132 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 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 0.603698405464 0.804987392280 8 0 5 9 0132 0132 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 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 0.475560631267 0.843739983460 10 11 12 0 0132 0132 0132 0132 0 1 1 1 0 -1 1 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 1 0 -1 -1 0 0 1 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807613448588 0.441492671612 9 7 0 8 0132 0132 0132 0132 0 1 1 1 0 1 -1 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 -1 1 0 0 0 -1 1 0 -10 0 10 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508596963675 0.666642245741 10 1 8 2 1230 0132 0132 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 0 0 0 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 0.240674630274 0.570810766692 10 8 1 12 2103 0132 0132 0321 0 1 1 1 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 1 -10 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603698405464 0.804987392280 12 4 11 1 0132 0132 0132 0132 0 1 1 1 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276618634341 0.948170383568 2 6 4 5 0132 0132 0132 0132 0 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 0 0 -1 1 1 0 0 -1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.404962945692 0.590494146396 4 11 2 12 0132 0213 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 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 0.748717661851 0.615438936683 3 5 6 11 0132 3012 2103 3120 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 1 -1 0 1 0 0 -1 -9 -1 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841451033995 0.632547428280 10 3 9 7 3120 0132 0213 0132 0 1 1 1 0 1 0 -1 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 -1 0 1 1 0 -1 0 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526917389101 0.418740675319 7 6 9 3 0132 0321 0132 0132 0 1 1 1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508596963675 0.666642245741 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_1001_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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_1100_0'], 's_1_7' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_12'])})} 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_12, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_1001_0, c_1001_1, c_1001_12, c_1001_3, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 155397/10325*c_1100_0^5 + 672454/10325*c_1100_0^4 - 126536/1475*c_1100_0^3 - 1170199/10325*c_1100_0^2 - 2143679/10325*c_1100_0 - 64962/10325, c_0011_0 - 1, c_0011_10 + 43/295*c_1100_0^5 - 219/295*c_1100_0^4 + 406/295*c_1100_0^3 + 99/295*c_1100_0^2 + 306/295*c_1100_0 + 5/59, c_0011_12 - 4/59*c_1100_0^5 + 36/295*c_1100_0^4 + 183/295*c_1100_0^3 - 167/59*c_1100_0^2 + 58/295*c_1100_0 - 38/59, c_0101_0 + 7/59*c_1100_0^5 - 122/295*c_1100_0^4 + 19/295*c_1100_0^3 + 130/59*c_1100_0^2 + 459/295*c_1100_0 - 22/59, c_0101_1 - 49/295*c_1100_0^5 + 277/295*c_1100_0^4 - 593/295*c_1100_0^3 + 93/295*c_1100_0^2 - 88/295*c_1100_0 + 19/59, c_0101_3 + 26/295*c_1100_0^5 - 94/295*c_1100_0^4 + 4/295*c_1100_0^3 + 643/295*c_1100_0^2 - 276/295*c_1100_0 + 73/59, c_0101_8 + 6/295*c_1100_0^5 - 58/295*c_1100_0^4 + 187/295*c_1100_0^3 - 192/295*c_1100_0^2 - 218/295*c_1100_0 + 35/59, c_1001_0 - 1, c_1001_1 - 19/295*c_1100_0^5 + 21/59*c_1100_0^4 - 189/295*c_1100_0^3 + 18/295*c_1100_0^2 + 61/295*c_1100_0 + 17/59, c_1001_12 - 19/295*c_1100_0^5 + 21/59*c_1100_0^4 - 189/295*c_1100_0^3 + 18/295*c_1100_0^2 - 234/295*c_1100_0 + 17/59, c_1001_3 + 4/295*c_1100_0^5 - 19/295*c_1100_0^4 - 13/295*c_1100_0^3 + 167/295*c_1100_0^2 + 12/295*c_1100_0 - 16/59, c_1001_5 + 1/59*c_1100_0^5 - 9/295*c_1100_0^4 + 28/295*c_1100_0^3 + 27/59*c_1100_0^2 + 133/295*c_1100_0 - 20/59, c_1100_0^6 - 5*c_1100_0^5 + 9*c_1100_0^4 + 2*c_1100_0^3 + 11*c_1100_0^2 - 6*c_1100_0 + 5 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_1001_0, c_1001_1, c_1001_12, c_1001_3, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 30037/536*c_1100_0^9 + 76627/536*c_1100_0^8 - 85845/134*c_1100_0^7 + 308269/536*c_1100_0^6 + 8849/67*c_1100_0^5 - 46891/134*c_1100_0^4 + 116399/536*c_1100_0^3 - 24157/268*c_1100_0^2 - 82205/268*c_1100_0 - 18723/268, c_0011_0 - 1, c_0011_10 + 523/804*c_1100_0^9 - 1219/804*c_1100_0^8 + 1909/268*c_1100_0^7 - 4207/804*c_1100_0^6 - 599/268*c_1100_0^5 + 1927/804*c_1100_0^4 - 166/201*c_1100_0^3 + 38/201*c_1100_0^2 + 2803/804*c_1100_0 + 1121/804, c_0011_12 + 1613/1608*c_1100_0^9 - 4283/1608*c_1100_0^8 + 6275/536*c_1100_0^7 - 18317/1608*c_1100_0^6 - 821/536*c_1100_0^5 + 11123/1608*c_1100_0^4 - 2743/804*c_1100_0^3 + 1553/804*c_1100_0^2 + 7199/1608*c_1100_0 + 2053/1608, c_0101_0 - 1607/1608*c_1100_0^9 + 3485/1608*c_1100_0^8 - 5445/536*c_1100_0^7 + 8075/1608*c_1100_0^6 + 5303/536*c_1100_0^5 - 15785/1608*c_1100_0^4 + 1783/804*c_1100_0^3 + 391/804*c_1100_0^2 - 9173/1608*c_1100_0 - 3931/1608, c_0101_1 + 271/1608*c_1100_0^9 - 265/1608*c_1100_0^8 + 549/536*c_1100_0^7 + 3053/1608*c_1100_0^6 - 3119/536*c_1100_0^5 + 5173/1608*c_1100_0^4 + 391/804*c_1100_0^3 - 569/804*c_1100_0^2 + 4105/1608*c_1100_0 + 1607/1608, c_0101_3 + 1613/1608*c_1100_0^9 - 4283/1608*c_1100_0^8 + 6275/536*c_1100_0^7 - 18317/1608*c_1100_0^6 - 821/536*c_1100_0^5 + 11123/1608*c_1100_0^4 - 2743/804*c_1100_0^3 + 1553/804*c_1100_0^2 + 7199/1608*c_1100_0 + 2053/1608, c_0101_8 - 1121/804*c_1100_0^9 + 2765/804*c_1100_0^8 - 4143/268*c_1100_0^7 + 10211/804*c_1100_0^6 + 1587/268*c_1100_0^5 - 6281/804*c_1100_0^4 + 403/402*c_1100_0^3 - 166/201*c_1100_0^2 - 5453/804*c_1100_0 - 2485/804, c_1001_0 - 1, c_1001_1 - c_1100_0, c_1001_12 - 83/134*c_1100_0^9 + 126/67*c_1100_0^8 - 1079/134*c_1100_0^7 + 1383/134*c_1100_0^6 - 547/134*c_1100_0^5 - 149/67*c_1100_0^4 + 497/134*c_1100_0^3 - 385/134*c_1100_0^2 - 115/67*c_1100_0 + 25/67, c_1001_3 + 79/67*c_1100_0^9 - 189/67*c_1100_0^8 + 1719/134*c_1100_0^7 - 652/67*c_1100_0^6 - 821/134*c_1100_0^5 + 849/134*c_1100_0^4 - 109/134*c_1100_0^3 + 71/67*c_1100_0^2 + 747/134*c_1100_0 + 327/134, c_1001_5 - 58/67*c_1100_0^9 + 143/67*c_1100_0^8 - 1307/134*c_1100_0^7 + 1099/134*c_1100_0^6 + 136/67*c_1100_0^5 - 519/134*c_1100_0^4 + 68/67*c_1100_0^3 + 3/67*c_1100_0^2 - 629/134*c_1100_0 - 137/67, c_1100_0^10 - 2*c_1100_0^9 + 10*c_1100_0^8 - 4*c_1100_0^7 - 8*c_1100_0^6 + 4*c_1100_0^5 + c_1100_0^4 + 5*c_1100_0^2 + 4*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB