Magma V2.19-8 Tue Aug 20 2013 23:40:20 on localhost [Seed = 2050760446] Type ? for help. Type -D to quit. Loading file "L10a74__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a74 geometric_solution 10.41405789 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 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 -1 0 0 1 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557995494668 0.963268842827 0 5 6 5 0132 0132 0132 0213 0 1 1 1 0 1 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 0 0 0 -1 -1 2 1 0 -1 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 0.128592167806 1.065608646583 7 0 8 7 0132 0132 0132 1302 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 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 0.128592167806 1.065608646583 9 10 4 0 0132 0132 2103 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 8 0 -8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775771639019 0.409893581285 3 10 0 10 2103 0321 0132 2310 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 -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 0 0 0 0 0 0.960127040515 1.023040925038 7 1 8 1 1023 0132 3120 0213 0 1 1 1 0 -1 0 1 1 0 -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 1 1 -2 -9 0 9 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 0.128592167806 1.065608646583 9 8 8 1 3120 3120 3201 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 -1 1 -1 1 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.888380448227 0.924961150633 2 5 2 9 0132 1023 2031 3012 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 9 0 -9 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 0.459876545452 0.562364033337 6 6 5 2 2310 3120 3120 0132 1 1 1 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 -9 8 1 9 0 -9 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 0.459876545452 0.562364033337 3 10 7 6 0132 0213 1230 3120 1 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 0 0 0 0 0 0 0 -1 0 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557995494668 0.963268842827 4 3 9 4 3201 0132 0213 0321 1 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 0 0 0 0 0 0 0 -1 1 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512243751153 0.519717269650 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_8'], 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : negation(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' : 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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_2']), '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_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_8, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 206147/2719*c_1001_0^11 - 469499/2719*c_1001_0^10 + 1148290/2719*c_1001_0^9 - 1521726/2719*c_1001_0^8 + 2198194/2719*c_1001_0^7 - 3791840/2719*c_1001_0^6 + 2744679/2719*c_1001_0^5 - 2957368/2719*c_1001_0^4 + 2839232/2719*c_1001_0^3 - 1185157/2719*c_1001_0^2 + 909461/2719*c_1001_0 + 510142/2719, c_0011_0 - 1, c_0011_10 + 1411/5438*c_1001_0^11 - 2439/5438*c_1001_0^10 + 2734/2719*c_1001_0^9 - 2036/2719*c_1001_0^8 + 6491/5438*c_1001_0^7 - 14085/5438*c_1001_0^6 + 2640/2719*c_1001_0^5 - 2454/2719*c_1001_0^4 + 7953/5438*c_1001_0^3 - 1014/2719*c_1001_0^2 + 587/2719*c_1001_0 + 3619/5438, c_0011_4 - 74/2719*c_1001_0^11 + 548/2719*c_1001_0^10 - 1495/2719*c_1001_0^9 + 3528/2719*c_1001_0^8 - 4892/2719*c_1001_0^7 + 7198/2719*c_1001_0^6 - 7534/2719*c_1001_0^5 + 8029/2719*c_1001_0^4 - 6148/2719*c_1001_0^3 + 3178/2719*c_1001_0^2 - 499/2719*c_1001_0 - 1346/2719, c_0011_6 - 375/5438*c_1001_0^11 + 205/5438*c_1001_0^10 - 426/2719*c_1001_0^9 - 908/2719*c_1001_0^8 + 2179/5438*c_1001_0^7 - 5117/5438*c_1001_0^6 + 3875/2719*c_1001_0^5 - 2088/2719*c_1001_0^4 + 7425/5438*c_1001_0^3 - 2199/2719*c_1001_0^2 + 187/2719*c_1001_0 + 4349/5438, c_0011_8 + 1, c_0101_0 + 375/5438*c_1001_0^11 - 205/5438*c_1001_0^10 + 426/2719*c_1001_0^9 + 908/2719*c_1001_0^8 - 2179/5438*c_1001_0^7 + 5117/5438*c_1001_0^6 - 3875/2719*c_1001_0^5 + 2088/2719*c_1001_0^4 - 7425/5438*c_1001_0^3 + 2199/2719*c_1001_0^2 - 187/2719*c_1001_0 - 4349/5438, c_0101_1 + c_1001_0, c_0101_2 - 1, c_0101_5 - 359/5438*c_1001_0^11 + 2879/5438*c_1001_0^10 - 2322/2719*c_1001_0^9 + 4663/2719*c_1001_0^8 - 3671/5438*c_1001_0^7 + 7877/5438*c_1001_0^6 - 3541/2719*c_1001_0^5 - 2956/2719*c_1001_0^4 - 505/5438*c_1001_0^3 - 2910/2719*c_1001_0^2 - 53/2719*c_1001_0 - 651/5438, c_0101_8 + 1089/5438*c_1001_0^11 - 2553/5438*c_1001_0^10 + 2825/2719*c_1001_0^9 - 3693/2719*c_1001_0^8 + 7985/5438*c_1001_0^7 - 15245/5438*c_1001_0^6 + 2342/2719*c_1001_0^5 - 2659/2719*c_1001_0^4 + 7803/5438*c_1001_0^3 + 2079/2719*c_1001_0^2 - 21/2719*c_1001_0 + 3641/5438, c_1001_0^12 - 2*c_1001_0^11 + 5*c_1001_0^10 - 6*c_1001_0^9 + 9*c_1001_0^8 - 16*c_1001_0^7 + 9*c_1001_0^6 - 12*c_1001_0^5 + 11*c_1001_0^4 - 3*c_1001_0^3 + 4*c_1001_0^2 + 3*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB