Magma V2.19-8 Tue Aug 20 2013 23:42:55 on localhost [Seed = 1460744735] Type ? for help. Type -D to quit. Loading file "K13a4873__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13a4873 geometric_solution 9.71474626 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 1 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 0.136171671147 0.550669468801 0 5 6 5 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823135595398 0.524728844759 3 0 7 6 0321 0132 0132 1302 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 1 0 -1 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 1.070609125846 1.120875972372 2 8 9 0 0321 0132 0132 0132 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 -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 -0.224760443299 2.001178636570 10 5 0 7 0132 3201 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.069454252342 0.661867358808 1 1 4 8 3012 0132 2310 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576816938454 1.711325048326 9 10 2 1 1023 0213 2031 0132 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 0 -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 0.989105814425 0.686488674586 9 4 9 2 0213 0321 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.024552771856 0.421962932057 11 3 5 10 0132 0132 2031 1023 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.034224877464 1.314972675769 7 6 7 3 0213 1023 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.486561525979 0.192185008331 4 11 6 8 0132 2103 0213 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.442713612810 0.741378738053 8 10 11 11 0132 2103 1230 3012 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.236372289654 1.190365614922 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : negation(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_0011_6'], '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_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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_0101_1'], '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' : d['c_0011_6'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1001_7'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_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_0011_11, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0101_6, c_0110_5, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 59/540*c_1001_7^3 - 61/540*c_1001_7^2 + 239/540*c_1001_7 + 127/180, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_7^3 + 1/2*c_1001_7 + 2, c_0011_11 - 1/3*c_1001_7^3 - 1/6*c_1001_7^2 - 2/3*c_1001_7 - 3/2, c_0011_6 + 1/3*c_1001_7^3 + 1/6*c_1001_7^2 + 2/3*c_1001_7 + 5/2, c_0101_1 - 1/6*c_1001_7^3 + 1/6*c_1001_7^2 + 1/6*c_1001_7 - 1/2, c_0101_11 - 1/3*c_1001_7^3 - 1/6*c_1001_7^2 - 2/3*c_1001_7 - 3/2, c_0101_2 + 2/3*c_1001_7^3 + 1/3*c_1001_7^2 + 1/3*c_1001_7 + 3, c_0101_5 - 1/6*c_1001_7^3 - 1/3*c_1001_7^2 + 1/6*c_1001_7 - 1, c_0101_6 - 1/6*c_1001_7^3 + 1/6*c_1001_7^2 + 1/6*c_1001_7 + 1/2, c_0110_5 - 1/6*c_1001_7^3 - 1/3*c_1001_7^2 + 1/6*c_1001_7, c_1001_1 - 1/2*c_1001_7^3 - 1/2*c_1001_7^2 - 1/2*c_1001_7 - 3/2, c_1001_7^4 + 2*c_1001_7^3 + 2*c_1001_7^2 + 6*c_1001_7 + 9 ], 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_6, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0101_6, c_0110_5, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 12/5*c_1001_7^3 - 199/60*c_1001_7^2 + 11/6*c_1001_7 + 233/10, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_7^2, c_0011_11 + 1/6*c_1001_7^3 + 1/6*c_1001_7^2 + 2/3*c_1001_7 - 1/3, c_0011_6 - 1/3*c_1001_7^3 - 1/3*c_1001_7^2 - 1/3*c_1001_7 - 1/3, c_0101_1 - 1/6*c_1001_7^3 - 2/3*c_1001_7^2 - 2/3*c_1001_7 + 1/3, c_0101_11 + 1/6*c_1001_7^3 + 1/6*c_1001_7^2 + 2/3*c_1001_7 - 1/3, c_0101_2 - 1/2*c_1001_7^2 - c_1001_7, c_0101_5 - 1/6*c_1001_7^3 - 1/6*c_1001_7^2 + 1/3*c_1001_7 + 1/3, c_0101_6 - 1/3*c_1001_7^3 - 5/6*c_1001_7^2 - 1/3*c_1001_7 - 1/3, c_0110_5 + 1/6*c_1001_7^3 + 1/6*c_1001_7^2 - 1/3*c_1001_7 - 1/3, c_1001_1 + 1/3*c_1001_7^3 + 1/3*c_1001_7^2 + 1/3*c_1001_7 - 2/3, c_1001_7^4 + 2*c_1001_7^3 + 2*c_1001_7^2 - 4*c_1001_7 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.210 Total time: 2.430 seconds, Total memory usage: 32.09MB