Magma V2.19-8 Tue Aug 20 2013 23:52:30 on localhost [Seed = 4055341782] Type ? for help. Type -D to quit. Loading file "L13n2763__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2763 geometric_solution 11.25075650 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 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 1 8 -9 0 0 -1 1 -1 0 0 1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068465773174 1.055927691957 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 9 -9 0 0 0 0 0 0 -8 0 8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128301199543 0.991735248035 5 0 9 8 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 -1 1 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 1 0 1 0 -1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228009543211 0.863524344433 7 6 5 0 0132 0132 0132 0132 1 0 1 1 0 1 0 -1 -1 0 0 1 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 8 0 -8 0 0 -1 1 -1 -8 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128301199543 0.991735248035 9 8 0 5 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 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 9 -9 1 0 -1 0 -8 0 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228009543211 0.863524344433 2 1 4 3 0132 0132 0132 0132 1 0 1 1 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 -9 9 0 -1 0 0 1 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068465773174 1.055927691957 10 3 1 11 0132 0132 0132 0132 1 0 1 1 0 -1 0 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 -8 0 8 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061148124921 0.943069732837 3 10 11 1 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 -9 0 9 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 -0.061148124921 0.943069732837 10 4 2 11 3120 0132 0132 3120 1 0 1 1 0 0 0 0 0 0 -1 1 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 1 -1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.001829735270 4 11 10 2 0132 3120 3120 0132 1 0 1 1 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 1 -1 -1 0 0 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.001829735270 6 7 9 8 0132 0132 3120 3120 1 0 1 1 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 9 0 -9 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 0.285847086580 1.082568363460 8 9 6 7 3120 3120 0132 0132 1 0 1 1 0 1 -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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285847086580 1.082568363460 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : 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_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : 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' : 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_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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_5'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], '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_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2932*c_1100_1^7 - 19706*c_1100_1^6 - 23082*c_1100_1^5 + 44423*c_1100_1^4 + 54983*c_1100_1^3 - 14744*c_1100_1^2 - 24024*c_1100_1 - 3291, c_0011_0 - 1, c_0011_10 + 11/2*c_1100_1^6 + 67/2*c_1100_1^5 + 45/2*c_1100_1^4 - 191/2*c_1100_1^3 - 41*c_1100_1^2 + 49*c_1100_1 + 23/2, c_0011_11 + 3*c_1100_1^7 + 35/2*c_1100_1^6 + 15/2*c_1100_1^5 - 111/2*c_1100_1^4 - 17/2*c_1100_1^3 + 33*c_1100_1^2 - 3*c_1100_1 - 1/2, c_0011_4 - 13/2*c_1100_1^7 - 38*c_1100_1^6 - 17*c_1100_1^5 + 119*c_1100_1^4 + 43/2*c_1100_1^3 - 68*c_1100_1^2 - 1/2*c_1100_1 + 5/2, c_0101_0 - 1, c_0101_1 + 3*c_1100_1^7 + 39/2*c_1100_1^6 + 39/2*c_1100_1^5 - 97/2*c_1100_1^4 - 89/2*c_1100_1^3 + 21*c_1100_1^2 + 18*c_1100_1 + 3/2, c_0101_10 - 7/2*c_1100_1^7 - 47/2*c_1100_1^6 - 55/2*c_1100_1^5 + 105/2*c_1100_1^4 + 64*c_1100_1^3 - 18*c_1100_1^2 - 53/2*c_1100_1 - 3, c_0101_5 - 4*c_1100_1^7 - 55/2*c_1100_1^6 - 71/2*c_1100_1^5 + 113/2*c_1100_1^4 + 169/2*c_1100_1^3 - 12*c_1100_1^2 - 37*c_1100_1 - 13/2, c_1001_0 + 4*c_1100_1^7 + 25*c_1100_1^6 + 20*c_1100_1^5 - 68*c_1100_1^4 - 40*c_1100_1^3 + 36*c_1100_1^2 + 11*c_1100_1, c_1001_1 + 3/2*c_1100_1^7 + 6*c_1100_1^6 - 13*c_1100_1^5 - 39*c_1100_1^4 + 87/2*c_1100_1^3 + 37*c_1100_1^2 - 51/2*c_1100_1 - 11/2, c_1100_0 + 3/2*c_1100_1^7 + 23/2*c_1100_1^6 + 41/2*c_1100_1^5 - 33/2*c_1100_1^4 - 52*c_1100_1^3 - 4*c_1100_1^2 + 47/2*c_1100_1 + 5, c_1100_1^8 + 6*c_1100_1^7 + 3*c_1100_1^6 - 21*c_1100_1^5 - 8*c_1100_1^4 + 19*c_1100_1^3 + 5*c_1100_1^2 - 5*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB