Magma V2.19-8 Wed Aug 21 2013 01:03:56 on localhost [Seed = 492504372] Type ? for help. Type -D to quit. Loading file "L14n23925__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23925 geometric_solution 11.97422850 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 1 -1 0 1 0 5 -6 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230555630803 0.913674051453 0 5 7 6 0132 0132 0132 0132 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 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 0 0 0 -0.033710595225 1.476209133669 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 0 0 0 -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 1 0 5 0 0 -5 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626310934921 1.243751238642 7 11 9 0 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 -1 0 1 0 0 5 -5 6 0 0 -6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637300136208 0.615428701121 9 5 0 10 0132 1230 0132 0132 0 1 1 1 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 1 0 -1 0 0 6 -6 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598023547225 1.470466477047 12 1 4 11 0132 0132 3012 1023 1 0 1 1 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 -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 0.630814935272 0.607887999771 11 9 1 12 2103 2103 0132 3012 1 1 0 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 1 0 -1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347868680655 0.613999862292 3 10 8 1 0132 2031 2031 0132 1 1 1 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 -1 1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359225321001 0.676535179076 2 12 11 7 0132 0132 1302 1302 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572629016169 0.573757768585 4 6 2 3 0132 2103 0132 0132 0 1 1 1 0 0 0 0 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 0 0 0 0 5 -5 -1 0 0 1 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123925979300 1.094758971813 7 12 4 2 1302 1302 0132 0132 0 1 1 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 0 0 0 0 0 0 0 0 0 1 -1 -6 0 6 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 0.443987727129 0.211583257060 8 3 6 5 2031 0132 2103 1023 0 1 1 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 1 0 -1 0 0 -1 1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661962244734 0.725237151876 5 8 6 10 0132 0132 1230 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551920482708 0.472825029848 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0110_6']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : negation(d['c_0011_11']), '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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(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_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_0101_0'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_6'], 's_1_7' : 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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], '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' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0110_6, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 87302977/9117*c_1100_0^7 - 123402554/9117*c_1100_0^6 - 472783735/9117*c_1100_0^5 + 719305858/9117*c_1100_0^4 - 70057664/3039*c_1100_0^3 - 2619444910/9117*c_1100_0^2 + 122808503/9117*c_1100_0 + 210900091/9117, c_0011_0 - 1, c_0011_10 + 266/1013*c_1100_0^7 - 500/1013*c_1100_0^6 - 1179/1013*c_1100_0^5 + 2557/1013*c_1100_0^4 - 1435/1013*c_1100_0^3 - 6877/1013*c_1100_0^2 + 1608/1013*c_1100_0 + 1021/1013, c_0011_11 + 1955/3039*c_1100_0^7 - 2380/3039*c_1100_0^6 - 11609/3039*c_1100_0^5 + 15575/3039*c_1100_0^4 - 521/1013*c_1100_0^3 - 64097/3039*c_1100_0^2 - 1625/3039*c_1100_0 + 5954/3039, c_0011_4 + 46/1013*c_1100_0^7 - 56/1013*c_1100_0^6 - 440/1013*c_1100_0^5 + 724/1013*c_1100_0^4 + 285/1013*c_1100_0^3 - 2545/1013*c_1100_0^2 + 1809/1013*c_1100_0 + 2035/1013, c_0011_6 - 1, c_0101_0 - 514/3039*c_1100_0^7 + 890/3039*c_1100_0^6 + 2362/3039*c_1100_0^5 - 4126/3039*c_1100_0^4 + 480/1013*c_1100_0^3 + 13639/3039*c_1100_0^2 - 350/3039*c_1100_0 - 3580/3039, c_0101_1 - 1414/3039*c_1100_0^7 + 1325/3039*c_1100_0^6 + 9253/3039*c_1100_0^5 - 9967/3039*c_1100_0^4 - 674/1013*c_1100_0^3 + 48766/3039*c_1100_0^2 + 6274/3039*c_1100_0 - 4681/3039, c_0101_12 - 267/1013*c_1100_0^7 + 281/1013*c_1100_0^6 + 1629/1013*c_1100_0^5 - 1824/1013*c_1100_0^4 - 399/1013*c_1100_0^3 + 8628/1013*c_1100_0^2 + 2735/1013*c_1100_0 - 823/1013, c_0101_2 - 1787/3039*c_1100_0^7 + 2704/3039*c_1100_0^6 + 8945/3039*c_1100_0^5 - 14120/3039*c_1100_0^4 + 1925/1013*c_1100_0^3 + 49517/3039*c_1100_0^2 - 1678/3039*c_1100_0 - 5789/3039, c_0101_5 - 1342/3039*c_1100_0^7 + 1898/3039*c_1100_0^6 + 7243/3039*c_1100_0^5 - 11080/3039*c_1100_0^4 + 796/1013*c_1100_0^3 + 41215/3039*c_1100_0^2 + 517/3039*c_1100_0 - 6781/3039, c_0110_6 + 1790/3039*c_1100_0^7 - 2047/3039*c_1100_0^6 - 10295/3039*c_1100_0^5 + 11921/3039*c_1100_0^4 - 91/1013*c_1100_0^3 - 54770/3039*c_1100_0^2 - 11351/3039*c_1100_0 + 5195/3039, c_1001_12 + 2047/3039*c_1100_0^7 - 2492/3039*c_1100_0^6 - 11476/3039*c_1100_0^5 + 13984/3039*c_1100_0^4 - 331/1013*c_1100_0^3 - 60070/3039*c_1100_0^2 - 14215/3039*c_1100_0 + 3946/3039, c_1100_0^8 - c_1100_0^7 - 6*c_1100_0^6 + 6*c_1100_0^5 + c_1100_0^4 - 31*c_1100_0^3 - 11*c_1100_0^2 + 3*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB