Magma V2.19-8 Wed Aug 21 2013 01:10:05 on localhost [Seed = 1191272152] Type ? for help. Type -D to quit. Loading file "L14n50696__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n50696 geometric_solution 12.66121432 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 2 2 0 1 0 -1 0 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 -1 0 1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822875655532 0.822875655532 0 4 5 0 0132 0132 0132 2031 0 2 1 0 0 0 1 -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 1 -1 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 0.250000000000 1.161437827766 6 6 7 0 0132 1230 0132 0132 2 2 1 2 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 -8 9 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803812609255 0.696187390745 8 9 0 10 0132 0132 0132 0132 2 2 0 0 0 1 -1 0 0 0 1 -1 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 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 0.607625218511 0.607625218511 11 1 11 9 0132 0132 3012 3120 0 2 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 -1 0 1 1 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 0.392374781489 0.607625218511 7 10 9 1 1230 2031 2031 0132 0 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.677124344468 2 11 2 12 0132 1302 3012 0132 2 2 2 1 0 1 0 -1 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 8 1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289159369736 0.615663747894 8 5 12 2 3012 3012 3012 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615663747894 0.710840630264 3 10 12 7 0132 0132 1302 1230 2 2 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208497377871 0.677124344468 4 3 12 5 3120 0132 0132 1302 2 2 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 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 0.705718913883 0.955718913883 5 8 3 11 1302 0132 0132 0132 2 2 0 0 0 0 0 0 0 0 1 -1 -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 -1 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 0.607625218511 0.607625218511 4 4 10 6 0132 1230 0132 2031 2 2 1 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 1 -1 0 -1 0 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 0.822875655532 0.822875655532 8 7 6 9 2031 1230 0132 0132 2 2 0 2 0 0 1 -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 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 0.588562172234 1.088562172234 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0011_2']), 'c_1010_10' : d['c_0101_9'], '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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_12']), 'c_1100_3' : negation(d['c_1001_12']), 'c_1100_2' : negation(d['c_1001_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_1001_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_5'], '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_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_2']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_5'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : d['c_0101_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_0011_2, c_0011_7, c_0101_0, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0101_9, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 8003/75168*c_1001_3^3 + 19549/75168*c_1001_3^2 + 18079/75168*c_1001_3 - 7111/8352, c_0011_0 - 1, c_0011_10 + c_1001_3 - 1, c_0011_12 + 1/6*c_1001_3^3 + 1/3*c_1001_3^2 - 1/6*c_1001_3 + 1, c_0011_2 + 1/12*c_1001_3^3 + 5/12*c_1001_3^2 + 5/12*c_1001_3 - 1/4, c_0011_7 - 1, c_0101_0 - 1, c_0101_11 - 1/4*c_1001_3^3 - 1/4*c_1001_3^2 - 1/4*c_1001_3 + 3/4, c_0101_12 + 1/6*c_1001_3^3 + 1/12*c_1001_3^2 + 5/6*c_1001_3 - 5/4, c_0101_5 - 1/4*c_1001_3^2 - c_1001_3 + 3/4, c_0101_7 + 1/2*c_1001_3^2 - 1/2, c_0101_9 - 1/12*c_1001_3^3 - 5/12*c_1001_3^2 - 5/12*c_1001_3 + 1/4, c_1001_12 - c_1001_3 + 1, c_1001_3^4 + 2*c_1001_3^3 + 2*c_1001_3^2 - 6*c_1001_3 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB