Magma V2.19-8 Tue Aug 20 2013 17:58:17 on localhost [Seed = 2901219573] Type ? for help. Type -D to quit. Loading file "10^2_105__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_105 geometric_solution 12.80840175 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 1 0132 0132 0132 2031 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 1 0 -1 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 -0.054890482790 0.732056901443 0 0 4 2 0132 1302 0132 1023 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 1 -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 1.101852696282 1.358376998247 5 0 6 1 0132 0132 0132 1023 0 0 0 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 0 1 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462021501453 0.914356647722 7 7 5 0 0132 1230 3120 0132 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467774059609 0.636560184845 8 8 9 1 0132 1230 0132 0132 0 0 1 0 0 -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 -4 4 0 1 0 0 -1 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101852696282 1.358376998247 2 6 3 10 0132 3120 3120 0132 1 0 1 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 -1 2 -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 0.782613779983 0.383533267517 11 5 12 2 0132 3120 0132 0132 0 0 1 1 0 0 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228284420926 0.509255460925 3 11 3 12 0132 3120 3012 2031 1 0 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 0 2 -2 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 0.250387839592 1.020093452361 4 9 4 13 0132 2103 3012 0132 0 0 0 1 0 1 -1 0 0 0 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 3 -4 1 -1 0 4 -3 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639831194829 0.444020350525 10 8 12 4 3120 2103 1023 0132 0 0 0 1 0 1 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 0 4 0 -4 0 0 0 0 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462021501453 0.914356647722 13 12 5 9 0132 3012 0132 3120 1 0 0 1 0 0 0 0 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 0 1 -1 0 0 0 0 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030321520473 0.504926682160 6 7 13 13 0132 3120 0132 0321 0 0 1 1 0 0 0 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 1 -1 0 0 0 3 -3 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467774059609 0.636560184845 10 7 9 6 1230 1302 1023 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228284420926 0.509255460925 10 11 8 11 0132 0321 0132 0132 0 0 1 0 0 0 0 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 0 -1 1 0 0 3 -3 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250387839592 1.020093452361 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0011_11'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_1001_13']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_13' : d['c_0011_3'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : d['c_0011_4'], '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_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_1100_8' : d['c_1001_13'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1001_13'], 'c_1100_10' : negation(d['c_0101_3']), 'c_1100_13' : d['c_1001_13'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_11'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_13']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_10'], 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0011_10'], 'c_1010_4' : d['c_0101_1'], 'c_0101_12' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_13'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_1'], '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' : d['c_0101_13'], 'c_0110_8' : d['c_0101_13'], '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_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_10'], 'c_0101_13' : d['c_0101_13']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_3, c_0101_5, c_1001_13, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/80*c_1100_1, c_0011_0 - 1, c_0011_10 + c_1100_1 + 1, c_0011_11 + 2, c_0011_3 + 1/2*c_1100_1 - 1, c_0011_4 + 1/2*c_1100_1, c_0101_0 - 1, c_0101_1 - 1/2*c_1100_1 + 1, c_0101_10 + 1/2*c_1100_1, c_0101_13 + 1/2*c_1100_1, c_0101_3 + 1, c_0101_5 - 1/2*c_1100_1, c_1001_13 + 1, c_1001_3 + 1/2*c_1100_1 + 2, c_1100_1^2 + 4 ], 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_3, c_0101_5, c_1001_13, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/4*c_0101_5 + 1/2, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_0101_5, c_0011_3 + 1, c_0011_4 - 1, c_0101_0 - 1, c_0101_1 - c_0101_5 + 1, c_0101_10 - c_0101_5 + 1, c_0101_13 + c_0101_5, c_0101_3 + c_0101_5 - 1, c_0101_5^2 - 2*c_0101_5 + 2, c_1001_13 - 1, c_1001_3 - 1, c_1100_1 - 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_3, c_0101_5, c_1001_13, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 27/2080*c_1100_1^3 - 33/1040*c_1100_1^2 + 19/1040*c_1100_1 + 43/520, c_0011_0 - 1, c_0011_10 + 1/4*c_1100_1^3 + 3/2*c_1100_1^2 + 5/2*c_1100_1, c_0011_11 - 1/4*c_1100_1^3 - c_1100_1^2 - 1/2*c_1100_1 + 1, c_0011_3 + 1, c_0011_4 + 1/4*c_1100_1^3 + 1/2*c_1100_1^2 + 1/2*c_1100_1 + 1, c_0101_0 - 1, c_0101_1 + 1/4*c_1100_1^3 + c_1100_1^2 + 1/2*c_1100_1, c_0101_10 + 1/4*c_1100_1^3 + c_1100_1^2 + 3/2*c_1100_1 - 1, c_0101_13 + 1/2*c_1100_1^3 + c_1100_1^2 + c_1100_1, c_0101_3 - 1/4*c_1100_1^3 - c_1100_1^2 - 1/2*c_1100_1, c_0101_5 + 1/4*c_1100_1^3 + c_1100_1^2 + 1/2*c_1100_1 - 1, c_1001_13 - c_1100_1, c_1001_3 - 1, c_1100_1^4 + 4*c_1100_1^3 + 4*c_1100_1^2 + 4 ], 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_3, c_0101_5, c_1001_13, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 33008/1885*c_1001_3^3 + 79752/1885*c_1001_3^2 + 225324/1885*c_1001_3 - 17520/377, c_0011_0 - 1, c_0011_10 - 28/145*c_1001_3^3 - 48/145*c_1001_3^2 - 35/29*c_1001_3 + 9/29, c_0011_11 + 2/145*c_1001_3^3 - 38/145*c_1001_3^2 - 12/29*c_1001_3 - 11/29, c_0011_3 - 28/145*c_1001_3^3 - 48/145*c_1001_3^2 - 35/29*c_1001_3 + 9/29, c_0011_4 + 28/145*c_1001_3^3 + 48/145*c_1001_3^2 + 35/29*c_1001_3 - 9/29, c_0101_0 - 1, c_0101_1 - 8/29*c_1001_3^3 - 22/29*c_1001_3^2 - 50/29*c_1001_3 + 17/29, c_0101_10 - 8/29*c_1001_3^3 - 22/29*c_1001_3^2 - 50/29*c_1001_3 + 17/29, c_0101_13 - 6/145*c_1001_3^3 - 31/145*c_1001_3^2 + 7/29*c_1001_3 + 4/29, c_0101_3 - 42/145*c_1001_3^3 - 72/145*c_1001_3^2 - 67/29*c_1001_3 + 28/29, c_0101_5 - 8/29*c_1001_3^3 - 22/29*c_1001_3^2 - 50/29*c_1001_3 - 12/29, c_1001_13 - 8/145*c_1001_3^3 + 7/145*c_1001_3^2 - 10/29*c_1001_3 + 15/29, c_1001_3^4 + 2*c_1001_3^3 + 6*c_1001_3^2 - 5*c_1001_3 + 5/2, c_1100_1 - 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_3, c_0101_5, c_1001_13, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 446425/27904*c_1100_1^5 + 2737/6976*c_1100_1^4 + 530789/6976*c_1100_1^3 + 449871/3488*c_1100_1^2 - 2650549/6976*c_1100_1 + 620383/6976, c_0011_0 - 1, c_0011_10 + 55/436*c_1100_1^5 + 59/218*c_1100_1^4 - 29/218*c_1100_1^3 - 153/109*c_1100_1^2 + 28/109*c_1100_1 - 97/109, c_0011_11 + 1/436*c_1100_1^5 + 9/218*c_1100_1^4 + 51/218*c_1100_1^3 + 21/109*c_1100_1^2 - 53/109*c_1100_1 + 24/109, c_0011_3 - 25/436*c_1100_1^5 - 7/218*c_1100_1^4 + 33/218*c_1100_1^3 + 20/109*c_1100_1^2 - 92/109*c_1100_1 + 54/109, c_0011_4 - 1, c_0101_0 - 1, c_0101_1 + 7/109*c_1100_1^5 + 17/109*c_1100_1^4 + 11/218*c_1100_1^3 - 66/109*c_1100_1^2 - 67/109*c_1100_1 + 18/109, c_0101_10 + 7/109*c_1100_1^5 + 17/109*c_1100_1^4 + 11/218*c_1100_1^3 - 66/109*c_1100_1^2 + 42/109*c_1100_1 - 91/109, c_0101_13 - 7/109*c_1100_1^5 - 17/109*c_1100_1^4 - 11/218*c_1100_1^3 + 66/109*c_1100_1^2 + 67/109*c_1100_1 + 91/109, c_0101_3 - 7/109*c_1100_1^5 - 17/109*c_1100_1^4 - 11/218*c_1100_1^3 + 66/109*c_1100_1^2 - 42/109*c_1100_1 + 91/109, c_0101_5 + 7/109*c_1100_1^5 + 17/109*c_1100_1^4 + 11/218*c_1100_1^3 - 66/109*c_1100_1^2 - 67/109*c_1100_1 - 91/109, c_1001_13 - 1, c_1001_3 - 55/436*c_1100_1^5 - 59/218*c_1100_1^4 + 29/218*c_1100_1^3 + 153/109*c_1100_1^2 - 28/109*c_1100_1 + 97/109, c_1100_1^6 - 4*c_1100_1^4 - 8*c_1100_1^3 + 20*c_1100_1^2 - 12*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.640 seconds, Total memory usage: 32.09MB