Magma V2.19-8 Tue Aug 20 2013 23:59:48 on localhost [Seed = 2067599911] Type ? for help. Type -D to quit. Loading file "L14n46798__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n46798 geometric_solution 11.07964311 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 2 0 0 0 0 0 0 0 0 -1 3 0 -2 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 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203615155663 1.155179925618 0 4 2 5 0132 1023 1023 0132 1 1 2 0 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 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 -0.147986907784 0.839581437685 4 0 1 3 1023 0132 1023 3120 1 1 2 0 0 0 0 0 0 0 -1 1 0 0 0 0 2 -3 1 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 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.147986907784 0.839581437685 2 6 5 0 3120 0132 2031 0132 1 1 2 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 1 0 -1 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 0.601807577831 0.577589962809 1 2 0 7 1023 1023 0132 0132 1 1 2 0 0 0 0 0 1 0 0 -1 1 0 0 -1 0 -2 2 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 0.203615155663 1.155179925618 7 8 1 3 1023 0132 0132 1302 1 1 1 2 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 -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 -0.243143104005 0.934132537008 9 3 9 10 0132 0132 3012 0132 1 1 1 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 -1 1 0 0 0 -1 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 0.688008247741 0.790834261843 10 5 4 8 0132 1023 0132 3012 1 1 1 2 0 0 0 0 0 0 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 -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 0.068770055699 1.099692184220 10 5 7 11 1023 0132 1230 0132 1 1 2 1 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 1 -1 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 -0.074803761322 1.496463550102 6 6 11 11 0132 1230 2031 1230 1 1 2 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 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 0.431668537767 1.094190044941 7 8 6 11 0132 1023 0132 2031 1 1 2 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 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 0.150461044880 0.609218612348 9 10 8 9 3012 1302 0132 1302 1 1 1 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 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 0.373840174714 0.719742306653 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0110_11']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_11'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_8']), 'c_1100_3' : negation(d['c_1001_8']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_1001_8'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_11'], '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' : 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'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : 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' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_0110_11'], 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], '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_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], '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_0'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_11, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 30326784/2821*c_1001_8^5 + 56754176/2821*c_1001_8^4 - 26759168/2821*c_1001_8^3 - 53223424/2821*c_1001_8^2 + 62996480/2821*c_1001_8 - 26156544/2821, c_0011_0 - 1, c_0011_10 - 2*c_1001_8^2 + 2*c_1001_8 - 1, c_0011_11 + 8*c_1001_8^4 - 24*c_1001_8^3 + 32*c_1001_8^2 - 20*c_1001_8 + 5, c_0011_3 + c_1001_8 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 4*c_1001_8^3 - 8*c_1001_8^2 + 7*c_1001_8 - 2, c_0101_3 + c_1001_8 - 2, c_0101_7 - c_1001_8 + 1, c_0101_8 + 2*c_1001_8^2 - 4*c_1001_8 + 2, c_0110_11 - 16*c_1001_8^5 + 64*c_1001_8^4 - 116*c_1001_8^3 + 112*c_1001_8^2 - 57*c_1001_8 + 12, c_1001_8^6 - 9/2*c_1001_8^5 + 37/4*c_1001_8^4 - 43/4*c_1001_8^3 + 59/8*c_1001_8^2 - 91/32*c_1001_8 + 31/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB