Magma V2.19-8 Wed Aug 21 2013 01:12:50 on localhost [Seed = 2732899536] Type ? for help. Type -D to quit. Loading file "L14n61333__sl2_c15.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n61333 geometric_solution 12.66121432 oriented_manifold CS_known -0.0000000000000001 4 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 3 2 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 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 0.822875655532 0.822875655532 0 4 6 5 0132 0132 0132 0132 2 2 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 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 0.705718913883 0.955718913883 5 0 7 7 1023 0132 0213 0132 3 2 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 0 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 0.822875655532 0.822875655532 8 0 7 0 0132 0321 0132 0132 3 2 1 2 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 1 -1 0 1 0 0 -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 0.392374781489 0.607625218511 9 1 7 10 0132 0132 2103 0132 2 2 1 1 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 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607625218511 0.607625218511 8 2 1 10 2103 1023 0132 2031 2 2 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 0.705718913883 0.955718913883 9 8 11 1 2031 1302 0132 0132 2 2 1 2 0 -1 1 0 0 0 0 0 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 -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 0.588562172234 1.088562172234 4 2 2 3 2103 0213 0132 0132 3 2 2 1 0 1 -1 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 -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 0.250000000000 1.161437827766 3 9 5 6 0132 2103 2103 2031 1 2 2 1 0 1 0 -1 -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 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 1.161437827766 4 8 6 10 0132 2103 1302 1230 2 2 1 1 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 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 0.208497377871 0.677124344468 9 5 4 12 3012 1302 0132 0132 2 2 2 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615663747894 0.710840630264 12 12 12 6 0132 1302 3012 0132 2 2 2 0 0 0 1 -1 0 0 0 0 -1 0 0 1 -1 -1 2 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289159369736 0.615663747894 11 11 10 11 0132 1230 0132 2031 2 2 0 2 0 0 0 0 0 0 0 0 1 -2 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803812609255 0.696187390745 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0110_5'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_0']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_11'], 'c_1100_8' : negation(d['c_0110_5']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_12']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_12']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_1001_3'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_6'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_3']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_12, c_0101_3, c_0110_5, c_1001_0, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 66249/7424*c_1001_3^3 + 69465/3712*c_1001_3^2 - 11261/3712*c_1001_3 - 7897/928, c_0011_0 - 1, c_0011_10 - c_1001_3 + 1, c_0011_11 - 1, c_0011_3 - c_1001_3 + 1, c_0011_6 - 3/2*c_1001_3^2 + c_1001_3, c_0011_7 + 1, c_0101_0 - 1, c_0101_12 + 9/2*c_1001_3^3 - 19/2*c_1001_3^2 + 8*c_1001_3 - 3, c_0101_3 - c_1001_3^2, c_0110_5 + 9/2*c_1001_3^3 - 21/2*c_1001_3^2 + 9*c_1001_3 - 4, c_1001_0 - 1, c_1001_12 + 9/2*c_1001_3^3 - 21/2*c_1001_3^2 + 8*c_1001_3 - 3, c_1001_3^4 - 10/3*c_1001_3^3 + 38/9*c_1001_3^2 - 8/3*c_1001_3 + 8/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB