Magma V2.19-8 Wed Aug 21 2013 01:06:03 on localhost [Seed = 1999728592] Type ? for help. Type -D to quit. Loading file "L14n31047__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31047 geometric_solution 10.78950530 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 -1 0 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 -1 0 1 13 0 -14 1 0 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179070160392 0.618207183587 0 5 7 6 0132 0132 0132 0132 0 1 1 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 -13 0 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770590000055 1.195811679144 8 0 7 6 0132 0132 2103 2310 0 1 1 0 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 1 0 -1 0 0 0 0 0 13 0 -13 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567720497390 1.492366417972 9 8 10 0 0132 0132 0132 0132 0 1 1 0 0 0 0 0 1 0 0 -1 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 -14 0 0 14 -1 14 0 -13 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783860248695 0.746183208986 11 7 0 12 0132 3120 0132 0132 0 1 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 -1 -4 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 -0.115846855309 0.688826626108 9 1 11 11 1023 0132 0321 3201 0 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 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 0.586884509901 0.118565763056 2 11 1 9 3201 0321 0132 2103 0 1 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 0 0 0 0 0 0 0 0 0 0 0 13 0 -13 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 0.624253395279 0.718075823352 2 4 10 1 2103 3120 2103 0132 0 1 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 1 -1 0 0 0 0 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 1.237438480167 1.411811712677 2 3 9 12 0132 0132 0321 3120 0 1 0 1 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 -5 5 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358140320785 1.236414367173 3 5 8 6 0132 1023 0321 2103 0 1 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 0 0 0 0 0 0 0 0 0 0 0 14 0 -14 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 0.703495005431 0.421420231511 7 12 12 3 2103 3120 0132 0132 0 1 0 0 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 1 4 0 -5 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.330735428158 0.637095689836 4 5 5 6 0132 2310 0321 0321 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 -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 1.005594518774 1.718916311618 8 10 4 10 3120 3120 0132 0132 0 1 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 -4 4 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.641859679215 1.236414367173 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0110_6']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0011_12']), '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']), 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_3' : negation(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_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['c_1100_0'], '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' : 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' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_10']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_0']), '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_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6'], 's_2_9' : negation(d['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_12, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0110_5, c_0110_6, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 79419/10625*c_1001_5^4*c_1100_0 - 217811/85000*c_1001_5^4 - 60281/4250*c_1001_5^3*c_1100_0 - 11267/4250*c_1001_5^3 + 73129/1700*c_1001_5^2*c_1100_0 + 18881/3400*c_1001_5^2 - 1352423/42500*c_1001_5*c_1100_0 + 2394903/85000*c_1001_5 + 302143/21250*c_1100_0 - 440573/42500, c_0011_0 - 1, c_0011_10 - 2/25*c_1001_5^4*c_1100_0 + 11/25*c_1001_5^4 + 4/5*c_1001_5^3*c_1100_0 - 2/5*c_1001_5^3 - 2*c_1001_5^2*c_1100_0 + c_1001_5^2 - 4/25*c_1001_5*c_1100_0 - 3/25*c_1001_5 + 3/25*c_1100_0 - 4/25, c_0011_11 + 11/25*c_1001_5^4*c_1100_0 + 2/25*c_1001_5^4 - 2/5*c_1001_5^3*c_1100_0 - 4/5*c_1001_5^3 + c_1001_5^2*c_1100_0 + c_1001_5^2 - 3/25*c_1001_5*c_1100_0 + 29/25*c_1001_5 - 4/25*c_1100_0 - 3/25, c_0011_12 - 4/25*c_1001_5^4*c_1100_0 - 3/25*c_1001_5^4 - 2/5*c_1001_5^3*c_1100_0 + 1/5*c_1001_5^3 - 8/25*c_1001_5*c_1100_0 - 31/25*c_1001_5 - 19/25*c_1100_0 - 8/25, c_0011_6 + 2/25*c_1001_5^4*c_1100_0 - 11/25*c_1001_5^4 - 4/5*c_1001_5^3*c_1100_0 + 2/5*c_1001_5^3 + 2*c_1001_5^2*c_1100_0 - c_1001_5^2 + 4/25*c_1001_5*c_1100_0 + 3/25*c_1001_5 + 22/25*c_1100_0 + 4/25, c_0101_0 - 1, c_0101_10 + c_1100_0, c_0101_11 - 4/25*c_1001_5^4*c_1100_0 - 3/25*c_1001_5^4 - 2/5*c_1001_5^3*c_1100_0 + 1/5*c_1001_5^3 - 8/25*c_1001_5*c_1100_0 - 31/25*c_1001_5 + 6/25*c_1100_0 - 8/25, c_0101_3 - 4/25*c_1001_5^4*c_1100_0 - 3/25*c_1001_5^4 - 2/5*c_1001_5^3*c_1100_0 + 1/5*c_1001_5^3 - 8/25*c_1001_5*c_1100_0 - 31/25*c_1001_5 + 6/25*c_1100_0 - 8/25, c_0110_5 - 11/25*c_1001_5^4*c_1100_0 - 2/25*c_1001_5^4 + 2/5*c_1001_5^3*c_1100_0 + 4/5*c_1001_5^3 - c_1001_5^2*c_1100_0 - 2*c_1001_5^2 + 3/25*c_1001_5*c_1100_0 - 29/25*c_1001_5 + 4/25*c_1100_0 + 28/25, c_0110_6 + 1, c_1001_5^5 + c_1001_5^4*c_1100_0 - c_1001_5^4 - 2*c_1001_5^3*c_1100_0 + 4*c_1001_5^3 - 3*c_1001_5^2*c_1100_0 - 2*c_1001_5^2 - c_1001_5*c_1100_0 + 1, c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.730 seconds, Total memory usage: 32.09MB