Magma V2.19-8 Wed Aug 21 2013 01:11:30 on localhost [Seed = 745157142] Type ? for help. Type -D to quit. Loading file "L14n57199__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57199 geometric_solution 12.49006602 oriented_manifold CS_known 0.0000000000000005 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 2 0 0 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 1 -1 0 1 0 -2 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 0.665288339876 0.955236956864 0 5 4 6 0132 0132 1302 0132 1 1 2 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 -1 0 0 1 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665288339876 0.955236956864 7 0 9 8 0132 0132 0132 0132 0 1 2 1 0 0 -1 1 -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 -1 1 0 -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 0.496503000217 0.962229955713 5 7 9 0 0132 0132 0321 0132 0 1 2 1 0 0 1 -1 0 0 -1 1 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 -1 1 0 0 -2 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825099631711 1.101589836525 1 10 0 8 2031 0132 0132 0213 0 1 1 1 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 0 0 0 0 0 -1 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479122849679 0.556457833800 3 1 11 12 0132 0132 0132 0132 1 1 1 2 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329236729976 0.603879226784 11 12 1 10 0132 1302 0132 2310 1 1 1 2 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 -2 0 0 2 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876060009209 0.629904531208 2 3 8 10 0132 0132 0213 0132 0 1 1 2 0 0 0 0 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 0 0 0 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 0.217241377884 0.686406109092 12 7 2 4 1302 0213 0132 0213 0 1 1 2 0 0 -1 1 1 0 0 -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 2 0 0 -2 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516832003942 0.448638837590 11 10 3 2 2310 0321 0321 0132 0 1 1 1 0 0 -1 1 0 0 1 -1 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 1 -1 0 0 1 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935069303992 1.283007704061 6 4 7 9 3201 0132 0132 0321 0 1 1 1 0 0 0 0 -1 0 0 1 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 -2 0 0 2 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642189602605 0.716252900303 6 12 9 5 0132 1023 3201 0132 1 1 2 1 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 0 0 -2 0 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642189602605 0.716252900303 11 8 5 6 1023 2031 0132 2031 1 1 2 1 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 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479122849679 0.556457833800 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_4'], 'c_1001_5' : d['c_0110_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_12'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_1001_2'], '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_10'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_1001_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_9'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['c_0011_9']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_10']), 's_2_9' : d['1']})} 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_9, c_0101_0, c_0101_10, c_0101_12, c_0110_12, c_0110_4, c_1001_0, c_1001_10, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2811883/3693690*c_1001_9^5 - 1203907/738738*c_1001_9^4 - 13795351/527670*c_1001_9^3 - 36711809/527670*c_1001_9^2 - 136113127/1846845*c_1001_9 - 104180693/3693690, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 22/21*c_1001_9^5 - 92/21*c_1001_9^4 - 79/3*c_1001_9^3 - 131/3*c_1001_9^2 - 782/21*c_1001_9 - 317/21, c_0011_9 - 13/7*c_1001_9^5 + 41/7*c_1001_9^4 + 57*c_1001_9^3 + 113*c_1001_9^2 + 709/7*c_1001_9 + 334/7, c_0101_0 - 26/21*c_1001_9^5 + 103/21*c_1001_9^4 + 98/3*c_1001_9^3 + 169/3*c_1001_9^2 + 991/21*c_1001_9 + 409/21, c_0101_10 - 65/14*c_1001_9^5 + 233/14*c_1001_9^4 + 263/2*c_1001_9^3 + 493/2*c_1001_9^2 + 1517/7*c_1001_9 + 1355/14, c_0101_12 + 19/7*c_1001_9^5 - 68/7*c_1001_9^4 - 77*c_1001_9^3 - 144*c_1001_9^2 - 893/7*c_1001_9 - 395/7, c_0110_12 - c_1001_9^5 + 4*c_1001_9^4 + 26*c_1001_9^3 + 46*c_1001_9^2 + 39*c_1001_9 + 16, c_0110_4 - 97/14*c_1001_9^5 + 363/14*c_1001_9^4 + 381/2*c_1001_9^3 + 693/2*c_1001_9^2 + 2115/7*c_1001_9 + 1839/14, c_1001_0 - 1, c_1001_10 - 65/14*c_1001_9^5 + 233/14*c_1001_9^4 + 263/2*c_1001_9^3 + 493/2*c_1001_9^2 + 1517/7*c_1001_9 + 1341/14, c_1001_2 + 10/7*c_1001_9^5 - 38/7*c_1001_9^4 - 39*c_1001_9^3 - 69*c_1001_9^2 - 407/7*c_1001_9 - 174/7, c_1001_9^6 - 2*c_1001_9^5 - 34*c_1001_9^4 - 98*c_1001_9^3 - 131*c_1001_9^2 - 95*c_1001_9 - 33 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB