Magma V2.19-8 Tue Aug 20 2013 17:57:26 on localhost [Seed = 2766475487] Type ? for help. Type -D to quit. Loading file "9_37__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_37 geometric_solution 10.98944959 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718905330627 0.486436613194 0 3 4 0 0132 3201 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718905330627 0.486436613194 5 0 7 6 0132 0132 0132 0132 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 1 0 1 0 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875280388569 0.527228556512 5 6 1 0 1230 0132 2310 0132 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 1 -1 -1 0 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.844726446477 0.895521267215 8 5 8 1 0132 0321 3120 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 -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 0.602458085486 0.773024017078 2 3 9 4 0132 3012 0132 0321 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 -3 3 0 -1 0 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 0.873718544458 0.591506601980 10 3 2 7 0132 0132 0132 0321 0 0 0 0 0 0 0 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 0 0 0 0 0 -2 2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473324362273 0.798867044082 10 6 11 2 2103 0321 0132 0132 0 0 0 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007657974779 1.053926388863 4 10 4 9 0132 2310 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.602458085486 0.773024017078 8 11 11 5 3201 1230 2310 0132 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 3 0 -3 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571904143393 1.141316727780 6 11 7 8 0132 2031 2103 3201 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511707310224 1.261452263413 10 9 9 7 1302 3201 3012 0132 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 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571904143393 1.141316727780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_3']), '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_1001_7']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_7']), '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_11'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_1001_7'], 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0011_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_5']), '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_9'], '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' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_7']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_7, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/7*c_1001_2^3 - 3/7*c_1001_2^2 + 1/7*c_1001_2, c_0011_0 - 1, c_0011_10 - c_1001_2^2 - c_1001_2 - 1, c_0011_11 - c_1001_2^3 + c_1001_2 + 1, c_0011_4 + c_1001_2^2, c_0011_7 + c_1001_2^3 + 2*c_1001_2^2 - 1, c_0011_9 - c_1001_2^2 + 1, c_0101_1 - c_1001_2^3 - 2*c_1001_2^2 + 1, c_0101_3 - 2*c_1001_2^3 - 3*c_1001_2^2 + 2, c_0101_5 - c_1001_2, c_1001_0 - c_1001_2^3 - 2*c_1001_2^2 + 1, c_1001_2^4 + c_1001_2^3 - c_1001_2^2 - c_1001_2 + 1, c_1001_7 + 1 ], 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_4, c_0011_7, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1845/104*c_1001_7^5 + 11109/208*c_1001_7^4 - 19151/208*c_1001_7^3 + 7051/104*c_1001_7^2 - 229/13*c_1001_7 - 3681/208, c_0011_0 - 1, c_0011_10 - 4*c_1001_7^5 + 12*c_1001_7^4 - 19*c_1001_7^3 + 15*c_1001_7^2 - 6*c_1001_7 + 1, c_0011_11 + 2*c_1001_7^5 - 7*c_1001_7^4 + 12*c_1001_7^3 - 10*c_1001_7^2 + 4*c_1001_7, c_0011_4 + c_1001_7, c_0011_7 + 2*c_1001_7^5 - 3*c_1001_7^4 + 4*c_1001_7^3 - c_1001_7^2 + c_1001_7, c_0011_9 - c_1001_7 + 1, c_0101_1 + 2*c_1001_7^5 - 7*c_1001_7^4 + 12*c_1001_7^3 - 12*c_1001_7^2 + 6*c_1001_7 - 2, c_0101_3 + 2*c_1001_7^5 - 5*c_1001_7^4 + 9*c_1001_7^3 - 8*c_1001_7^2 + 5*c_1001_7 - 2, c_0101_5 + 2*c_1001_7^3 - 3*c_1001_7^2 + 3*c_1001_7, c_1001_0 + 2*c_1001_7^5 - 7*c_1001_7^4 + 12*c_1001_7^3 - 12*c_1001_7^2 + 6*c_1001_7 - 2, c_1001_2 + 2*c_1001_7^4 - 5*c_1001_7^3 + 7*c_1001_7^2 - 3*c_1001_7 + 1, c_1001_7^6 - 7/2*c_1001_7^5 + 7*c_1001_7^4 - 15/2*c_1001_7^3 + 5*c_1001_7^2 - 3/2*c_1001_7 + 1/2 ], 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_4, c_0011_7, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 107/896*c_1001_7^7 + 201/224*c_1001_7^6 - 2441/896*c_1001_7^5 + 295/56*c_1001_7^4 - 1427/224*c_1001_7^3 + 4815/896*c_1001_7^2 - 319/112*c_1001_7 + 913/896, c_0011_0 - 1, c_0011_10 - c_1001_7^7 + 2*c_1001_7^6 - 2*c_1001_7^5 + 2*c_1001_7^4 - 3*c_1001_7^3 + 5*c_1001_7^2 - 3*c_1001_7 + 3, c_0011_11 + 1/2*c_1001_7^7 - 1/2*c_1001_7^6 + c_1001_7^5 - c_1001_7^4 + 2*c_1001_7^3 - 3/2*c_1001_7^2 + 3/2*c_1001_7 - 2, c_0011_4 + 1/2*c_1001_7^7 - 3/2*c_1001_7^6 + 2*c_1001_7^5 - 2*c_1001_7^4 + 2*c_1001_7^3 - 9/2*c_1001_7^2 + 7/2*c_1001_7 - 3, c_0011_7 - 1/2*c_1001_7^7 - 1/2*c_1001_7^6 - c_1001_7^4 - c_1001_7^3 - 3/2*c_1001_7^2 + 1/2*c_1001_7 - 1, c_0011_9 - 1, c_0101_1 - 1/2*c_1001_7^7 + 1/2*c_1001_7^6 - c_1001_7^3 + 3/2*c_1001_7^2 + 1/2*c_1001_7, c_0101_3 - 3/2*c_1001_7^7 + 3/2*c_1001_7^6 - 2*c_1001_7^5 - 4*c_1001_7^3 + 7/2*c_1001_7^2 - 5/2*c_1001_7, c_0101_5 - 1/2*c_1001_7^7 + 1/2*c_1001_7^6 - c_1001_7^3 + 3/2*c_1001_7^2 + 1/2*c_1001_7, c_1001_0 - 1/2*c_1001_7^7 + 1/2*c_1001_7^6 - c_1001_7^3 + 3/2*c_1001_7^2 + 1/2*c_1001_7, c_1001_2 + c_1001_7^6 - c_1001_7^5 + c_1001_7^4 + 3*c_1001_7^2 - 2*c_1001_7 + 2, c_1001_7^8 - 2*c_1001_7^7 + 3*c_1001_7^6 - 2*c_1001_7^5 + 4*c_1001_7^4 - 5*c_1001_7^3 + 6*c_1001_7^2 - 3*c_1001_7 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.670 seconds, Total memory usage: 32.09MB