Magma V2.19-8 Tue Aug 20 2013 17:59:49 on localhost [Seed = 3785381136] Type ? for help. Type -D to quit. Loading file "10^2_99__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_99 geometric_solution 12.47970887 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 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 -0.192580437032 1.371158403552 0 5 3 4 0132 0132 3201 2310 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 0 0 0 0 -6 5 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 0.449506188392 0.468871094621 5 0 7 6 0132 0132 0132 0132 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 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 -0.583215474133 1.024542619255 1 5 8 0 2310 1230 0132 0132 1 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 1 0 -1 0 0 1 -1 1 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467278337475 0.555671524634 1 6 0 6 3201 0132 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416784525867 1.024542619255 2 1 3 9 0132 0132 3012 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 6 0 -6 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 -0.100987623216 0.937742189242 4 4 2 10 3012 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419631443279 0.737172309529 11 12 10 2 0132 0132 0132 0132 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 -1 0 1 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 0.899012376784 0.937742189242 11 13 10 3 2031 0132 1302 0132 1 0 0 1 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 1 0 0 -1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733370736500 1.104307826469 13 11 5 13 0213 3120 0132 3012 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 0 0 0 0 0 6 -6 1 0 -1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659321910032 0.837457249385 8 12 6 7 2031 0213 0132 0132 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 0 -0.532721662525 0.555671524634 7 9 8 12 0132 3120 1302 3120 0 1 1 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 1 -1 0 0 0 0 0 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283864548108 0.635436731848 11 7 10 13 3120 0132 0213 1023 1 1 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 0 0 0 0 0 1 0 -1 0 0 0 0 6 -5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949506188392 0.468871094621 9 8 9 12 0213 0132 1230 1023 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 0 0 0 0 0 -1 1 -1 0 0 1 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416784525867 1.024542619255 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_0110_13'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_13'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0101_7'], 'c_1010_13' : d['c_0101_7'], 'c_1010_12' : d['c_0110_13'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0110_13'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_13'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : 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_13']), 'c_1100_8' : d['c_0101_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_13']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_1100_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_10'], 'c_1100_13' : negation(d['c_0110_13']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_3']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_13'], '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'], 'c_1100_12' : d['c_0110_13'], '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0101_13' : d['c_0011_11'], 'c_0011_6' : 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_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0101_7'], 'c_1010_4' : d['c_0101_5'], 'c_0101_12' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_13'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_13'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_13']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_13'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_3, c_0101_0, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_0110_13, c_1001_10, c_1001_13, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 508/17*c_1001_13*c_1100_10^2 + 231/17*c_1001_13*c_1100_10 + 1119/17*c_1001_13 - 675/17*c_1100_10^2 - 611/34*c_1100_10 - 2977/34, c_0011_0 - 1, c_0011_10 - c_1001_13*c_1100_10^2 + c_1001_13*c_1100_10 - c_1001_13 - c_1100_10^2 + c_1100_10, c_0011_11 - c_1001_13*c_1100_10^2 - c_1001_13 + 1, c_0011_13 - c_1001_13 + c_1100_10, c_0011_3 - c_1001_13*c_1100_10^2 - c_1001_13 + 1, c_0101_0 - c_1100_10, c_0101_10 - c_1001_13*c_1100_10 - c_1100_10, c_0101_3 - c_1001_13*c_1100_10 - c_1001_13 + c_1100_10^2 + 1, c_0101_5 - 1, c_0101_7 + c_1001_13*c_1100_10^2 + 1/2*c_1100_10^2 + 1/2*c_1100_10 - 1/2, c_0110_13 - 1/2*c_1100_10^2 + 1/2*c_1100_10 - 1/2, c_1001_10 - c_1001_13, c_1001_13^2 - c_1001_13*c_1100_10^2 - c_1001_13*c_1100_10 - c_1001_13 + 1/2*c_1100_10^2 - 1/2*c_1100_10 + 3/2, c_1100_10^3 + 2*c_1100_10 - 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_3, c_0101_0, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_0110_13, c_1001_10, c_1001_13, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2/3*c_1001_13*c_1100_10^3 - 3*c_1001_13*c_1100_10^2 + 4/3*c_1001_13*c_1100_10 - 13/3*c_1001_13 + 26/3*c_1100_10^3 - 1/3*c_1100_10^2 + 47/3*c_1100_10 + 10/3, c_0011_0 - 1, c_0011_10 - c_1001_13*c_1100_10^3 - c_1001_13*c_1100_10^2 - 2*c_1001_13*c_1100_10 - 2*c_1001_13 - c_1100_10^3 - 1, c_0011_11 - c_1001_13*c_1100_10^2 - c_1001_13 + c_1100_10^3 + 2*c_1100_10, c_0011_13 - c_1001_13 + c_1100_10, c_0011_3 - 2*c_1001_13*c_1100_10^3 - 3*c_1001_13*c_1100_10 - c_1001_13 - 3*c_1100_10^3 - c_1100_10^2 - 5*c_1100_10 - 3, c_0101_0 - 2*c_1100_10^3 - c_1100_10^2 - 3*c_1100_10 - 3, c_0101_10 - 2*c_1001_13*c_1100_10^3 - c_1001_13*c_1100_10^2 - 3*c_1001_13*c_1100_10 - 3*c_1001_13 - 2*c_1100_10^3 - c_1100_10^2 - 3*c_1100_10 - 3, c_0101_3 + c_1001_13*c_1100_10^3 + 2*c_1001_13*c_1100_10 + 2*c_1100_10^3 + 3*c_1100_10 + 1, c_0101_5 - 1, c_0101_7 + c_1001_13*c_1100_10^2 - c_1100_10^3 - c_1100_10^2 - 2*c_1100_10 - 1, c_0110_13 + c_1100_10^2 + c_1100_10 + 1, c_1001_10 - c_1001_13, c_1001_13^2 + 2*c_1001_13*c_1100_10^2 + 2*c_1001_13 - c_1100_10^3 - c_1100_10 + 1, c_1100_10^4 + c_1100_10^3 + 2*c_1100_10^2 + 2*c_1100_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.590 seconds, Total memory usage: 32.09MB