Magma V2.19-8 Tue Aug 20 2013 23:58:38 on localhost [Seed = 3230050383] Type ? for help. Type -D to quit. Loading file "L14n40894__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40894 geometric_solution 11.28460298 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 0 2 0 0 0 0 0 -1 0 1 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 -1 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 0.382885914546 0.505294797827 0 5 5 6 0132 0132 0321 0132 2 0 0 2 0 0 0 0 1 0 -2 1 -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 1 0 -1 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562635700712 1.010807527276 7 0 5 4 0132 0132 0132 0321 2 2 0 2 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 0 0 0 0 0.813847890358 1.069500349975 8 4 9 0 0132 0321 0132 0132 2 0 0 0 0 0 0 0 0 0 1 -1 -1 -1 0 2 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.180812977510 1.015616289513 10 2 0 3 0132 0321 0132 0321 2 0 0 2 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 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 1.037966852717 1.122775826834 10 1 1 2 3201 0132 0321 0132 2 2 2 0 0 0 0 0 1 0 0 -1 0 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 0 1 -1 0 1 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 0.562635700712 1.010807527276 9 7 1 10 1302 2310 0132 0321 2 0 2 0 0 0 0 0 0 0 -1 1 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 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026453084827 0.837346916478 2 10 9 6 0132 3201 1023 3201 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356025517635 0.639344788968 3 11 11 11 0132 0132 0321 0213 1 0 0 0 0 1 -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 0 -2 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 0.481154734637 0.596528720376 11 6 7 3 0213 2031 1023 0132 2 0 0 0 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 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 0.513226542413 0.418673458239 4 6 7 5 0132 0321 2310 2310 2 0 2 0 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 1 0 -1 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 0.375567063067 1.138055587665 9 8 8 8 0213 0132 0321 0213 1 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 0 0 0 0 0 2 -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 0.481154734637 0.596528720376 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_6'], 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0011_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : negation(d['c_0101_2']), '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_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], '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' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_9']), 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_9']), 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_2'], '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_6, c_0011_9, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 5937/10112*c_1001_10^6 - 57547/40448*c_1001_10^5 + 10743/20224*c_1001_10^4 + 42491/40448*c_1001_10^3 - 1647/40448*c_1001_10^2 - 38329/20224*c_1001_10 + 20321/10112, c_0011_0 - 1, c_0011_10 + 234/79*c_1001_10^6 - 203/158*c_1001_10^5 - 691/158*c_1001_10^4 + 189/158*c_1001_10^3 + 256/79*c_1001_10^2 - 747/158*c_1001_10 - 281/79, c_0011_11 - 333/158*c_1001_10^6 + 675/632*c_1001_10^5 + 1991/632*c_1001_10^4 - 465/632*c_1001_10^3 - 1075/316*c_1001_10^2 + 2515/632*c_1001_10 + 1055/316, c_0011_6 + 30/79*c_1001_10^6 + 55/158*c_1001_10^5 - 279/158*c_1001_10^4 - 73/158*c_1001_10^3 + 126/79*c_1001_10^2 - 35/158*c_1001_10 - 113/79, c_0011_9 + 1, c_0101_1 - 160/79*c_1001_10^6 + 64/79*c_1001_10^5 + 270/79*c_1001_10^4 - 95/79*c_1001_10^3 - 277/79*c_1001_10^2 + 304/79*c_1001_10 + 313/79, c_0101_2 - 140/79*c_1001_10^6 - 23/79*c_1001_10^5 + 256/79*c_1001_10^4 - 14/79*c_1001_10^3 - 193/79*c_1001_10^2 + 266/79*c_1001_10 + 264/79, c_0101_3 + 333/158*c_1001_10^6 - 675/632*c_1001_10^5 - 1991/632*c_1001_10^4 + 465/632*c_1001_10^3 + 1075/316*c_1001_10^2 - 2515/632*c_1001_10 - 1371/316, c_1001_0 + 234/79*c_1001_10^6 - 203/158*c_1001_10^5 - 691/158*c_1001_10^4 + 189/158*c_1001_10^3 + 256/79*c_1001_10^2 - 747/158*c_1001_10 - 281/79, c_1001_1 - 104/79*c_1001_10^6 + 10/79*c_1001_10^5 + 215/79*c_1001_10^4 + 37/79*c_1001_10^3 - 184/79*c_1001_10^2 + 166/79*c_1001_10 + 160/79, c_1001_10^7 + 1/4*c_1001_10^6 - 7/4*c_1001_10^5 - 3/4*c_1001_10^4 + 3/2*c_1001_10^3 - 3/4*c_1001_10^2 - 5/2*c_1001_10 - 1, c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB