Magma V2.19-8 Wed Aug 21 2013 01:02:39 on localhost [Seed = 2227347320] Type ? for help. Type -D to quit. Loading file "L14n15461__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15461 geometric_solution 11.82554880 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 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 -1 0 1 0 0 0 0 -9 0 0 9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060819020002 0.825543613038 0 5 6 2 0132 0132 0132 1023 1 1 0 1 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 -1 1 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201318865395 1.055963800024 6 0 7 1 0132 0132 0132 1023 1 1 0 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 1 0 -1 1 0 -1 0 1 -1 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455620886295 0.602392045607 8 7 9 0 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331086279347 1.624826344672 7 10 0 11 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 1 0 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331086279347 1.624826344672 11 1 12 9 1023 0132 0132 1230 1 1 1 0 0 0 0 0 0 0 0 0 0 1 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 -1 0 0 1 0 9 0 -9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421450036879 1.384743832099 2 11 12 1 0132 1023 3012 0132 1 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 0 0 0 0 0 0 0 -1 0 0 1 -10 10 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201318865395 1.055963800024 4 3 8 2 0132 0132 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 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 0 -10 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060819020002 0.825543613038 3 10 7 12 0132 1023 1023 3012 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 0.178353268063 0.393399464055 5 10 11 3 3012 0321 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 -1 -9 0 10 9 1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631290427423 0.797517498107 8 4 12 9 1023 0132 1302 0321 1 1 1 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 1 0 0 -1 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631290427423 0.797517498107 6 5 4 9 1023 1023 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -10 0 0 10 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178353268063 0.393399464055 10 6 8 5 2031 1230 1230 0132 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 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 0.256878089681 0.614830823545 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : negation(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' : negation(d['c_0011_12']), 's_2_0' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_0'], 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 'c_1100_12' : d['c_0101_3'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : 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_9'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0011_9'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], '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_3'], 'c_0110_8' : d['c_0101_3'], '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_6'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_12, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_0101_9, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 138301/644*c_1100_0^3 - 1288927/644*c_1100_0^2 + 460525/322*c_1100_0 - 202901/644, c_0011_0 - 1, c_0011_10 + c_1100_0^3 - 9*c_1100_0^2 + 4*c_1100_0, c_0011_12 - 2*c_1100_0^3 + 19*c_1100_0^2 - 17*c_1100_0 + 4, c_0011_9 + 2*c_1100_0^3 - 19*c_1100_0^2 + 16*c_1100_0 - 3, c_0101_0 + 2*c_1100_0^3 - 19*c_1100_0^2 + 17*c_1100_0 - 4, c_0101_1 - 1, c_0101_3 - c_1100_0^3 + 10*c_1100_0^2 - 12*c_1100_0 + 5, c_0101_5 - c_1100_0^3 + 10*c_1100_0^2 - 12*c_1100_0 + 3, c_0101_6 - 2*c_1100_0^3 + 20*c_1100_0^2 - 26*c_1100_0 + 8, c_0101_9 + 1, c_1001_12 + 4*c_1100_0^3 - 39*c_1100_0^2 + 43*c_1100_0 - 12, c_1001_2 + c_1100_0^3 - 9*c_1100_0^2 + 4*c_1100_0 + 1, c_1100_0^4 - 10*c_1100_0^3 + 13*c_1100_0^2 - 6*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB