Magma V2.19-8 Wed Aug 21 2013 01:14:03 on localhost [Seed = 2412351802] Type ? for help. Type -D to quit. Loading file "L9a33__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a33 geometric_solution 12.04609204 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 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 0 -1 1 -1 0 1 0 0 -3 0 3 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.707106781187 0 4 5 5 0132 0132 0213 0132 0 1 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 -1 1 0 1 0 -1 0 -4 0 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666666666667 0.471404520791 6 0 4 7 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 4 0 -4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.414213562373 8 9 7 0 0132 0132 0132 0132 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 -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 0.222222222222 0.628539361055 10 1 0 2 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -1 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 4 -4 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.414213562373 8 1 1 10 2103 0213 0132 0132 0 1 1 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 -1 0 1 0 0 0 0 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.414213562373 2 10 9 8 0132 0132 2103 2103 0 1 1 1 0 -1 0 1 0 0 0 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 -5 1 4 0 0 0 0 3 -3 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333333333333 0.471404520791 11 12 2 3 0132 0132 0132 0132 0 1 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 0 0 0 1 0 0 -1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.707106781187 3 10 5 6 0132 1302 2103 2103 1 1 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 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 0 0 0.500000000000 0.707106781187 6 3 12 11 2103 0132 0132 0132 0 1 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 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.707106781187 4 6 5 8 0132 0132 0132 2031 0 1 1 1 0 1 0 -1 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 5 -1 -4 0 0 0 0 -3 3 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 0.707106781187 7 12 9 12 0132 0213 0132 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 0 1 -1 -1 0 0 1 4 -1 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666666666667 0.471404520791 11 7 11 9 3120 0132 0213 0132 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 0 0 0 -1 0 1 0 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666666666667 0.471404520791 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_3']), '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_11'], '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_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_0011_11']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_1001_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_1001_10']), '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' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_6'], 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 8/9, c_0011_0 - 1, c_0011_11 - c_1100_0 - 1, c_0011_3 + c_1100_0, c_0011_5 + 2*c_1100_0 + 2, c_0101_0 + 2*c_1100_0 + 1, c_0101_10 - 1, c_0101_11 + 1, c_0101_6 + 1, c_1001_0 - 1, c_1001_1 + c_1100_0 + 1, c_1001_10 + c_1100_0 + 1, c_1001_11 + c_1100_0 + 1/2, c_1100_0^2 + 2*c_1100_0 + 3/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 101/32*c_1100_0^3 - 239/16*c_1100_0^2 - 561/32*c_1100_0 + 37/32, c_0011_0 - 1, c_0011_11 - c_1100_0^2 - 2*c_1100_0, c_0011_3 + c_1100_0, c_0011_5 + c_1100_0^3 + 2*c_1100_0^2 - c_1100_0 - 1, c_0101_0 + c_1100_0^3 + 2*c_1100_0^2 - c_1100_0 - 2, c_0101_10 - 1, c_0101_11 + 1, c_0101_6 + c_1100_0^3 + 3*c_1100_0^2 + c_1100_0 - 1, c_1001_0 - 1, c_1001_1 + 1/2*c_1100_0^3 + c_1100_0^2 - 1/2*c_1100_0 - 1/2, c_1001_10 + 1/2*c_1100_0^3 + c_1100_0^2 - 1/2*c_1100_0 - 1/2, c_1001_11 - c_1100_0^3 - 3*c_1100_0^2 - c_1100_0, c_1100_0^4 + 5*c_1100_0^3 + 7*c_1100_0^2 + 2*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 6*c_1100_0^3 - 5*c_1100_0^2 - c_1100_0 + 3, c_0011_0 - 1, c_0011_11 + 2*c_1100_0^3 - 3*c_1100_0^2 + 2, c_0011_3 + c_1100_0, c_0011_5 - 2*c_1100_0^2 + c_1100_0 + 1, c_0101_0 - 2*c_1100_0^3 - c_1100_0^2 + c_1100_0 + 1, c_0101_10 + 2*c_1100_0^3 - 3*c_1100_0^2 + c_1100_0 + 2, c_0101_11 + 1, c_0101_6 + 1, c_1001_0 - 1, c_1001_1 - 2*c_1100_0^3 + 3*c_1100_0^2 - 2, c_1001_10 + 2*c_1100_0^3 - 3*c_1100_0^2 - c_1100_0 + 2, c_1001_11 - 2*c_1100_0^3 + 2*c_1100_0^2 + c_1100_0 - 2, c_1100_0^4 - 1/2*c_1100_0^3 - c_1100_0^2 + 1/2*c_1100_0 + 1/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4*c_1100_0^3 + 6*c_1100_0^2 + 2*c_1100_0 - 7, c_0011_0 - 1, c_0011_11 + 2*c_1100_0^3 - 3*c_1100_0^2 + 2, c_0011_3 + c_1100_0, c_0011_5 + c_1100_0^2 - 1, c_0101_0 + 2*c_1100_0^3 - c_1100_0, c_0101_10 - 2*c_1100_0^3 + 2*c_1100_0^2 + c_1100_0 - 1, c_0101_11 + 1, c_0101_6 + 2*c_1100_0^3 - 2*c_1100_0^2 - c_1100_0 + 1, c_1001_0 - 1, c_1001_1 + 2*c_1100_0^3 - 3*c_1100_0^2 - c_1100_0 + 2, c_1001_10 - 2*c_1100_0^3 + 3*c_1100_0^2 - 2, c_1001_11 + 2*c_1100_0^3 - 3*c_1100_0^2 + c_1100_0 + 1, c_1100_0^4 - 1/2*c_1100_0^3 - c_1100_0^2 + 1/2*c_1100_0 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB