Magma V2.19-8 Tue Aug 20 2013 23:44:16 on localhost [Seed = 981229510] Type ? for help. Type -D to quit. Loading file "L14n24914__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24914 geometric_solution 10.43925516 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 -1 0 1 -1 0 4 -3 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130647403920 1.107668462388 0 5 7 6 0132 0132 0132 0132 1 1 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 4 0 -4 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 0.257385626166 0.758206937436 8 0 3 9 0132 0132 0213 0132 0 1 1 1 0 0 0 0 1 0 -1 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 3 0 -3 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384123848412 0.408745412485 10 2 6 0 0132 0213 2031 0132 0 1 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 0 0 0 0 0 4 -4 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447724623275 0.782796641135 10 6 0 8 2031 2031 0132 0132 0 1 1 1 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 -1 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 0.438468312563 0.558665751701 8 1 9 9 1023 0132 3012 1023 1 0 1 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 0 0 0 0 0 0 0 -4 4 0 -1 0 0 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 0.779101664766 1.299155456503 4 8 1 3 1302 1302 0132 1302 1 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 0 0 0 0 0 4 -4 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 0.601752244747 0.852925290237 7 10 7 1 2310 0321 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704034338696 0.967392488274 2 5 4 6 0132 1023 0132 2031 0 1 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 0 1 -1 0 -3 0 3 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 -0.220898335234 1.299155456503 10 5 2 5 1023 1230 0132 1023 0 1 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 0 1 -1 0 0 0 0 1 -1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660493200514 0.566129083043 3 9 4 7 0132 1023 1302 0321 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 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 0.659308228789 0.673151625649 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_4']), '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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : d['c_1001_0'], 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_6'], 'c_1100_8' : negation(d['c_1010_6']), '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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0101_1, c_0101_8, c_0110_6, c_0110_9, c_1001_0, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 122/45*c_1010_6 - 6/5, c_0011_0 - 1, c_0011_10 - 1/2*c_1010_6 - 1/4, c_0011_4 + 1/6*c_1010_6 + 3/4, c_0011_6 + c_1010_6 + 1, c_0011_7 - c_1010_6 - 1/2, c_0101_1 - 1/2*c_1010_6 - 1/4, c_0101_8 - 1/2*c_1010_6 - 5/4, c_0110_6 - c_1010_6, c_0110_9 + 3/2*c_1010_6 + 3/4, c_1001_0 - 1, c_1010_6^2 + 3/2*c_1010_6 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB