Magma V2.19-8 Tue Aug 20 2013 23:44:02 on localhost [Seed = 2050760592] Type ? for help. Type -D to quit. Loading file "L14n15485__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15485 geometric_solution 10.26709685 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 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 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 0.696252994949 1.092026814428 0 5 7 6 0132 0132 0132 0132 0 1 1 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 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 0.236418584274 0.849968655371 7 0 6 8 0132 0132 0132 0132 0 1 1 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 1 -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 0.236418584274 0.849968655371 9 6 10 0 0132 0132 0132 0132 0 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 -1 1 0 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918214540076 0.761609429237 9 10 0 5 3120 0132 0132 0213 0 1 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 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 0.422512645107 0.770469110389 10 1 8 4 0213 0132 0213 0213 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 0 0 0 0 0 0 -13 -1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452802766327 0.997836563516 9 3 1 2 2103 0132 0132 0132 0 1 1 1 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 0 0 0 0 0 1 -1 0 0 0 0 13 -14 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696252994949 1.092026814428 2 10 8 1 0132 0213 0132 0132 0 1 1 1 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 1 0 0 0 1 -1 -1 1 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354808938359 0.535151181732 9 5 2 7 1302 0213 0132 0132 0 1 1 1 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 0 0 1 -1 1 0 0 -1 -13 0 0 13 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192388295314 1.532987745248 3 8 6 4 0132 2031 2103 3120 1 1 1 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 13 -13 0 0 0 0 0 14 -14 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.080596180181 0.642206202455 5 4 7 3 0213 0132 0213 0132 0 1 1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395677343215 0.371214560488 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_0'], '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_10' : 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_1100_9' : negation(d['c_0101_1']), 'c_1100_8' : d['c_1100_1'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1100_1'], 'c_1100_10' : d['c_1001_1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_10' : d['c_0101_3'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], '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_0'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_3'], '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_0011_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 7/5*c_1100_1^3 - 49/15*c_1100_1^2 - 20/3*c_1100_1 - 11/3, c_0011_0 - 1, c_0011_10 + 2/15*c_1100_1^3 - 1/5*c_1100_1^2 + 8/15*c_1100_1 - 1/3, c_0011_3 - 1/15*c_1100_1^3 - 2/5*c_1100_1^2 - 4/15*c_1100_1 - 1/3, c_0101_0 - 1/15*c_1100_1^3 - 2/5*c_1100_1^2 - 4/15*c_1100_1 - 4/3, c_0101_1 + 1/5*c_1100_1^3 + 1/5*c_1100_1^2 + 4/5*c_1100_1, c_0101_3 + 2/5*c_1100_1^3 + 2/5*c_1100_1^2 + 3/5*c_1100_1, c_1001_0 - 1, c_1001_1 + 1/3*c_1100_1^3 + 1/3*c_1100_1 - 1/3, c_1001_10 + 1/3*c_1100_1^3 + c_1100_1^2 + 1/3*c_1100_1 + 2/3, c_1001_2 + 1/3*c_1100_1^3 + 4/3*c_1100_1 - 1/3, c_1100_1^4 + c_1100_1^3 + 4*c_1100_1^2 + 5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 115/12*c_1100_1^7 - 163/24*c_1100_1^6 - 641/48*c_1100_1^5 - 353/16*c_1100_1^4 - 505/48*c_1100_1^3 - 189/8*c_1100_1^2 - 269/48*c_1100_1 - 293/48, c_0011_0 - 1, c_0011_10 - 4*c_1100_1^6 + 6*c_1100_1^5 - 11*c_1100_1^4 + 7*c_1100_1^3 - 10*c_1100_1^2 + 4*c_1100_1 - 4, c_0011_3 + 4*c_1100_1^6 - 2*c_1100_1^5 + 9*c_1100_1^4 - 2*c_1100_1^3 + 10*c_1100_1^2 - c_1100_1 + 4, c_0101_0 + 1, c_0101_1 + 4*c_1100_1^7 - 2*c_1100_1^6 + 9*c_1100_1^5 - 2*c_1100_1^4 + 10*c_1100_1^3 - c_1100_1^2 + 5*c_1100_1, c_0101_3 + 12*c_1100_1^7 - 6*c_1100_1^6 + 23*c_1100_1^5 - 4*c_1100_1^4 + 21*c_1100_1^3 - c_1100_1^2 + 7*c_1100_1 + 1, c_1001_0 - 1, c_1001_1 - 4*c_1100_1^7 + 2*c_1100_1^6 - 9*c_1100_1^5 + 2*c_1100_1^4 - 10*c_1100_1^3 + c_1100_1^2 - 4*c_1100_1, c_1001_10 - 4*c_1100_1^6 + 2*c_1100_1^5 - 9*c_1100_1^4 + 2*c_1100_1^3 - 8*c_1100_1^2 + c_1100_1 - 3, c_1001_2 - c_1100_1, c_1100_1^8 - 1/2*c_1100_1^7 + 9/4*c_1100_1^6 - 1/2*c_1100_1^5 + 5/2*c_1100_1^4 - 1/4*c_1100_1^3 + 5/4*c_1100_1^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB