Magma V2.19-8 Tue Aug 20 2013 23:40:21 on localhost [Seed = 2446849300] Type ? for help. Type -D to quit. Loading file "L10n17__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n17 geometric_solution 9.96651188 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 0 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 -1 -1 2 0 0 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568078336259 0.696403487586 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 1 -1 0 0 0 0 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 0.400967760359 0.383537010750 0 0 7 6 3012 0132 0132 3012 0 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 1 -1 0 -2 0 0 2 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643186455142 1.037033629315 5 4 8 0 0132 1230 0132 0132 0 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 0 0 -1 1 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 0.684187696052 0.416248727418 6 1 3 9 0321 0132 3012 0132 0 0 1 1 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 -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 0.809288063878 1.376229129550 3 10 1 8 0132 0132 0132 0132 0 1 0 1 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 -1 0 1 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 1.217289083216 0.997195240580 4 9 2 1 0321 0132 1230 0132 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 0 0 0 0 1 -2 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 0.861440136055 1.136889916589 10 10 8 2 3120 1023 3012 0132 0 0 1 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 0 0 0 0 -1 1 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608644541608 0.498597620290 9 7 5 3 0321 1230 0132 0132 0 1 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 -1 1 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 -0.025894209265 1.241037575319 8 6 4 10 0321 0132 0132 0132 0 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 0 0 0 0 0 -1 0 1 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 0.395695855645 0.478678425922 7 5 9 7 1023 0132 0132 3120 0 0 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 1 -1 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974105790735 1.241037575319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0011_10']), '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_8']), '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_10' : 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_0101_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_0110_2'], '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' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_6, c_0011_8, c_0101_0, c_0101_2, c_0101_4, c_0101_7, c_0110_2, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 160262365/7588898*c_1001_10^5 - 12483634081/151777960*c_1001_10^4 + 4819182259/151777960*c_1001_10^3 + 74986643101/151777960*c_1001_10^2 + 17617048727/37944490*c_1001_10 - 17414298399/151777960, c_0011_0 - 1, c_0011_10 + 5428975/3794449*c_1001_10^5 - 72425949/7588898*c_1001_10^4 + 94398328/3794449*c_1001_10^3 - 87181417/7588898*c_1001_10^2 + 25627025/7588898*c_1001_10 + 416859/3794449, c_0011_6 - 1619400/3794449*c_1001_10^5 + 12177918/3794449*c_1001_10^4 - 75648559/7588898*c_1001_10^3 + 40442223/3794449*c_1001_10^2 - 44362311/7588898*c_1001_10 + 10480709/7588898, c_0011_8 + 9034900/3794449*c_1001_10^5 - 60104878/3794449*c_1001_10^4 + 157353693/3794449*c_1001_10^3 - 75033298/3794449*c_1001_10^2 + 32340763/3794449*c_1001_10 - 4492867/3794449, c_0101_0 - 6822900/3794449*c_1001_10^5 + 43294863/3794449*c_1001_10^4 - 104378268/3794449*c_1001_10^3 + 18040012/3794449*c_1001_10^2 - 1622324/3794449*c_1001_10 - 2841335/3794449, c_0101_2 + 8442300/3794449*c_1001_10^5 - 55472781/3794449*c_1001_10^4 + 284405095/7588898*c_1001_10^3 - 58482235/3794449*c_1001_10^2 + 47606959/7588898*c_1001_10 - 4798039/7588898, c_0101_4 - 1, c_0101_7 - 19549825/7588898*c_1001_10^5 + 65999287/3794449*c_1001_10^4 - 176105889/3794449*c_1001_10^3 + 192174145/7588898*c_1001_10^2 - 78229619/7588898*c_1001_10 + 10720435/7588898, c_0110_2 + 3581825/7588898*c_1001_10^5 - 24888089/7588898*c_1001_10^4 + 34793565/3794449*c_1001_10^3 - 25462508/3794449*c_1001_10^2 + 15844689/3794449*c_1001_10 - 11008321/7588898, c_1001_1 + 7640975/3794449*c_1001_10^5 - 106045979/7588898*c_1001_10^4 + 147373753/3794449*c_1001_10^3 - 201167989/7588898*c_1001_10^2 + 79475005/7588898*c_1001_10 - 6917343/3794449, c_1001_10^6 - 168/25*c_1001_10^5 + 446/25*c_1001_10^4 - 238/25*c_1001_10^3 + 21/5*c_1001_10^2 - 14/25*c_1001_10 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB