Magma V2.19-8 Tue Aug 20 2013 17:56:06 on localhost [Seed = 3836039968] Type ? for help. Type -D to quit. Loading file "10^2_103__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_103 geometric_solution 11.08216662 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 1 0 0 -1 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 0 3 5 2 0132 0132 0132 1023 1 1 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 0 -1 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 0.891621714024 1.954093392513 5 0 6 1 0132 0132 0132 1023 1 1 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 0 0 0 -1 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 5 1 7 0 1023 0132 0132 0132 1 1 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 -1 0 1 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 6 7 0 8 0132 1023 0132 0132 1 1 0 0 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 -1 -1 2 0 0 0 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630540571341 0.651364464171 2 3 9 1 0132 1023 0132 0132 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 4 10 11 2 0132 0132 0132 0132 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 0 -1 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 4 9 10 3 1023 1023 1023 0132 1 1 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 0 0 0 0 1 0 -1 0 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630540571341 0.651364464171 11 9 4 10 0132 0132 0132 1023 1 1 0 0 0 -1 1 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 2 -2 0 -1 0 0 1 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 7 8 11 5 1023 0132 1023 0132 1 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 -2 2 0 0 0 0 0 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 11 6 7 8 1023 0132 1023 1023 1 1 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 0 0 0 0 1 -1 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 8 10 9 6 0132 1023 1023 0132 1 1 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 0 1 0 -2 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342765175582 0.170058978609 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_1100_1']), 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_1100_0'], '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_10'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], '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_10'], 'c_0101_8' : d['c_0101_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_11'], '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_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 130/27*c_1100_1^2 + 28/27*c_1100_1 - 499/27, c_0011_0 - 1, c_0011_10 + 1/3*c_1100_1 - 2/3, c_0101_0 - 1, c_0101_1 + 1/3*c_1100_1^2 + 1/3*c_1100_1, c_0101_10 + 2/3*c_1100_1^2 - 1/3*c_1100_1 + 1, c_0101_11 + 1, c_0101_3 + 1/3*c_1100_1^2 - 2/3*c_1100_1 + 1, c_0101_5 + 1/3*c_1100_1^2 + 1/3*c_1100_1, c_0101_6 + 2/3*c_1100_1^2 - 1/3*c_1100_1 + 1, c_0101_7 + 1/3*c_1100_1^2 - 2/3*c_1100_1 + 1, c_1100_0 + 2/3*c_1100_1^2 - 1/3*c_1100_1 + 1, c_1100_1^3 - c_1100_1^2 + 4*c_1100_1 - 3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 61/4*c_1100_1^2 - 117/4*c_1100_1 + 499/16, c_0011_0 - 1, c_0011_10 + 1, c_0101_0 - 1, c_0101_1 - 1/2*c_1100_1^2 - 1/4*c_1100_1 + 1, c_0101_10 + 1/2*c_1100_1^2 + 1/4*c_1100_1 - 1, c_0101_11 + 1, c_0101_3 + 3/2*c_1100_1^2 + 11/4*c_1100_1 - 3, c_0101_5 - 1/2*c_1100_1^2 - 1/4*c_1100_1 + 1, c_0101_6 + 1/2*c_1100_1^2 + 1/4*c_1100_1 - 1, c_0101_7 + 3/2*c_1100_1^2 + 11/4*c_1100_1 - 3, c_1100_0 + c_1100_1^2 + 5/2*c_1100_1 - 2, c_1100_1^3 + c_1100_1^2 - 15/4*c_1100_1 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 536/69*c_1100_1^4 - 304/69*c_1100_1^3 + 190/23*c_1100_1^2 - 476/23*c_1100_1 + 947/69, c_0011_0 - 1, c_0011_10 - 128/23*c_1100_1^4 + 52/23*c_1100_1^3 - 132/23*c_1100_1^2 + 329/23*c_1100_1 - 198/23, c_0101_0 - 1, c_0101_1 + 4/23*c_1100_1^4 - 16/23*c_1100_1^3 + 7/23*c_1100_1^2 - 11/23*c_1100_1 + 22/23, c_0101_10 - 56/23*c_1100_1^4 + 40/23*c_1100_1^3 - 52/23*c_1100_1^2 + 177/23*c_1100_1 - 101/23, c_0101_11 - 1, c_0101_3 + 20/23*c_1100_1^4 + 12/23*c_1100_1^3 + 35/23*c_1100_1^2 - 32/23*c_1100_1 - 5/23, c_0101_5 + 4/23*c_1100_1^4 - 16/23*c_1100_1^3 + 7/23*c_1100_1^2 - 11/23*c_1100_1 + 22/23, c_0101_6 - 56/23*c_1100_1^4 + 40/23*c_1100_1^3 - 52/23*c_1100_1^2 + 177/23*c_1100_1 - 101/23, c_0101_7 + 20/23*c_1100_1^4 + 12/23*c_1100_1^3 + 35/23*c_1100_1^2 - 32/23*c_1100_1 - 5/23, c_1100_0 + 24/23*c_1100_1^4 - 4/23*c_1100_1^3 + 42/23*c_1100_1^2 - 43/23*c_1100_1 + 17/23, c_1100_1^5 - c_1100_1^4 + 5/4*c_1100_1^3 - 13/4*c_1100_1^2 + 3*c_1100_1 - 3/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB