Magma V2.19-8 Tue Aug 20 2013 18:02:12 on localhost [Seed = 1899021370] Type ? for help. Type -D to quit. Loading file "11_385__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_385 geometric_solution 11.13625633 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321623001530 0.982470249600 0 3 6 5 0132 2031 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524098348160 0.536678203924 6 0 4 7 0132 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.999379453590 1.450019963528 1 8 9 0 1302 0132 0132 0132 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 1 0 0 -1 9 -8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223090384779 0.712671676391 2 10 0 11 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.999379453590 1.450019963528 6 12 1 9 1230 0132 0132 3120 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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.098306856924 0.549900388878 2 5 11 1 0132 3012 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.339774393999 0.582179781846 9 10 2 12 1302 3201 0132 3012 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 0 0 0 0 0 0 0 -9 0 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451282241847 0.710404832599 12 3 10 10 3120 0132 3201 0213 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 1 0 0 -1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362893279226 1.002928215095 5 7 11 3 3120 2031 0132 0132 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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.451282241847 0.710404832599 8 4 7 8 2310 0132 2310 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.451282241847 0.710404832599 6 12 4 9 2103 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316230228399 0.327445073937 11 5 7 8 1023 0132 1230 3120 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 8 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 2.053830610561 2.202384440106 ==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_0101_12'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : 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_9']), 'c_0101_10' : d['c_0101_10'], '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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_9'], '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_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : negation(d['c_0011_10']), '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' : negation(d['c_0101_8']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0101_8']), 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], '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_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : d['c_0101_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : negation(d['c_0101_8']), '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_11, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_8, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1148/1053*c_0101_9^6 - 1613/1053*c_0101_9^5 + 1766/1053*c_0101_9^4 + 2857/1053*c_0101_9^3 - 268/1053*c_0101_9^2 - 2134/1053*c_0101_9 - 1511/1053, c_0011_0 - 1, c_0011_10 + c_0101_9^6 - c_0101_9^5 - 2*c_0101_9^4 + c_0101_9^3 + 2*c_0101_9^2 - c_0101_9 - 1, c_0011_11 + c_0101_9^3 - c_0101_9^2 - c_0101_9 + 1, c_0011_3 - c_0101_9^6 + 2*c_0101_9^4 + c_0101_9^3 - 2*c_0101_9^2 + 2, c_0011_7 + c_0101_9^5 - 2*c_0101_9^4 - c_0101_9^3 + 2*c_0101_9^2 + c_0101_9 - 1, c_0011_9 + c_0101_9^6 - c_0101_9^5 - 2*c_0101_9^4 + c_0101_9^3 + 2*c_0101_9^2 - c_0101_9 - 1, c_0101_0 - c_0101_9^6 + c_0101_9^5 + 2*c_0101_9^4 - c_0101_9^3 - c_0101_9^2 + c_0101_9, c_0101_1 - c_0101_9^6 + 2*c_0101_9^4 + c_0101_9^3 - c_0101_9^2 + c_0101_9 + 1, c_0101_10 + c_0101_9^6 - c_0101_9^5 - c_0101_9^4 + c_0101_9^3 - 2*c_0101_9, c_0101_12 - c_0101_9^6 + c_0101_9^5 + c_0101_9^4 - c_0101_9^3 + 2*c_0101_9, c_0101_8 - c_0101_9^5 + c_0101_9^4 + c_0101_9^3 - c_0101_9^2 + 1, c_0101_9^7 - 2*c_0101_9^5 - c_0101_9^4 + c_0101_9^3 - c_0101_9 - 1, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.840 Total time: 10.060 seconds, Total memory usage: 131.69MB