Magma V2.19-8 Tue Aug 20 2013 23:50:36 on localhost [Seed = 3616652528] Type ? for help. Type -D to quit. Loading file "L12n50__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n50 geometric_solution 11.07964311 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 1 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 1 0 -1 3 0 -3 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 0.147986907784 0.839581437685 0 4 4 3 0132 0132 1302 0321 1 1 1 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 0 0 0 -3 0 -1 4 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.203615155663 1.155179925618 0 0 4 5 3012 0132 0132 0132 1 1 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 -1 0 1 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 0.595470518496 0.586782056033 6 1 7 0 0132 0321 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 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 0 0 0 -3 0 0 3 -1 1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864936320550 0.830130020992 1 1 7 2 2031 0132 3012 0132 1 1 0 1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147986907784 0.839581437685 8 7 2 9 0132 3012 0132 0132 1 1 1 1 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 -1 1 3 0 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931229944301 1.099692184220 3 10 10 9 0132 0132 1302 1230 1 1 1 1 0 0 -1 1 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 0 0 0 0 0 -4 4 3 0 0 -3 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626159825286 0.719742306653 5 4 8 3 1230 1230 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.243143104005 0.934132537008 5 9 11 7 0132 0132 0132 3012 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074803761322 1.496463550102 6 8 5 11 3012 0132 0132 0132 1 1 1 1 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 0 0 -1 1 -4 0 4 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222648795799 0.557451567202 6 6 11 11 2031 0132 1302 3201 1 1 1 1 0 0 -1 1 1 0 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 -3 3 4 0 0 -4 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311991752259 0.790834261843 10 10 9 8 2031 2310 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 -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 1 -1 0 3 0 0 -3 -4 4 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311991752259 0.790834261843 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0110_10'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), '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' : negation(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' : negation(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_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : negation(d['c_1001_7']), 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0101_7']), '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'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_5'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : d['c_0011_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_5, c_0011_7, c_0101_2, c_0101_4, c_0101_5, c_0101_7, c_0101_8, c_0110_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 643/2821*c_0110_10^5 + 1005/2821*c_0110_10^4 + 1063/5642*c_0110_10^3 - 1957/5642*c_0110_10^2 + 2045/5642*c_0110_10 + 50/2821, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 4*c_0110_10^5 - 6*c_0110_10^4 - c_0110_10^3 + 9*c_0110_10^2 - 8*c_0110_10 - 7, c_0011_5 + 13*c_0110_10^5 + 19*c_0110_10^4 + 3*c_0110_10^3 - 27*c_0110_10^2 + 28*c_0110_10 + 23, c_0011_7 + 10*c_0110_10^5 + 14*c_0110_10^4 + 2*c_0110_10^3 - 20*c_0110_10^2 + 22*c_0110_10 + 18, c_0101_2 + 1, c_0101_4 - 10*c_0110_10^5 - 14*c_0110_10^4 - 2*c_0110_10^3 + 20*c_0110_10^2 - 22*c_0110_10 - 19, c_0101_5 - 10*c_0110_10^5 - 14*c_0110_10^4 - 2*c_0110_10^3 + 20*c_0110_10^2 - 22*c_0110_10 - 17, c_0101_7 - 3*c_0110_10^5 - 5*c_0110_10^4 - c_0110_10^3 + 7*c_0110_10^2 - 6*c_0110_10 - 7, c_0101_8 + 11*c_0110_10^5 + 16*c_0110_10^4 + 2*c_0110_10^3 - 24*c_0110_10^2 + 24*c_0110_10 + 20, c_0110_10^6 + 2*c_0110_10^5 + c_0110_10^4 - 2*c_0110_10^3 + c_0110_10^2 + 3*c_0110_10 + 1, c_1001_7 + 1 ], 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_5, c_0011_7, c_0101_2, c_0101_4, c_0101_5, c_0101_7, c_0101_8, c_0110_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1606641/8876800*c_0110_10^6 + 1198347/4438400*c_0110_10^5 - 727049/8876800*c_0110_10^4 + 152157/887680*c_0110_10^3 + 889831/8876800*c_0110_10^2 + 1140077/8876800*c_0110_10 - 175441/8876800, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 3*c_0110_10^6 - 6*c_0110_10^5 + c_0110_10^4 + 3*c_0110_10^3 - 2*c_0110_10^2 + c_0110_10 + 2, c_0011_5 - 3*c_0110_10^6 - 3*c_0110_10^5 + 2*c_0110_10^4 + 3*c_0110_10^3 + 3*c_0110_10 + 2, c_0011_7 + 3*c_0110_10^6 + c_0110_10^4 - 4*c_0110_10^3 - c_0110_10^2 - c_0110_10 - 3, c_0101_2 - 1, c_0101_4 - 3*c_0110_10^6 - c_0110_10^4 + 4*c_0110_10^3 + c_0110_10^2 + c_0110_10 + 4, c_0101_5 - 3*c_0110_10^6 - c_0110_10^4 + 4*c_0110_10^3 + c_0110_10^2 + c_0110_10 + 2, c_0101_7 - 3*c_0110_10^5 + 3*c_0110_10^4 - c_0110_10^3 - c_0110_10^2 + 2*c_0110_10 + 1, c_0101_8 + 3*c_0110_10^6 + 3*c_0110_10^5 - 5*c_0110_10^4 - c_0110_10^2 - 3*c_0110_10 - 1, c_0110_10^7 - c_0110_10^6 + 1/3*c_0110_10^5 + 1/3*c_0110_10^4 - c_0110_10^3 - 1/3, c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB