Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 290491704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0046 geometric_solution 3.61300647 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 1 -1 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 -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 3.099566854937 0.342279721708 0 2 2 0 3201 0132 3201 0132 0 0 0 0 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 -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 -1.553428660035 1.140385698802 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034758575356 0.079046893694 5 4 6 2 0132 3012 0132 0132 0 0 0 0 0 0 -1 1 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 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 -2.849741523145 1.859988439293 3 5 2 6 1230 1230 0132 0132 0 0 0 0 0 0 0 0 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 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 0.179650875628 1.546541440320 3 6 4 6 0132 2031 3012 3201 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006411992162 0.511175528349 5 5 4 3 1302 2310 0132 0132 0 0 0 0 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 -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 0.975465085653 1.955967425808 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_1100_2'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0011_6, c_0101_1, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 19/3*c_1100_2^2 - 7/3*c_1100_2 - 18, c_0011_0 - 1, c_0011_1 - c_1100_2^2 + 1, c_0011_3 + c_1100_2^2 - 1, c_0011_4 - 1, c_0011_6 - c_1100_2 - 1, c_0101_1 + c_1100_2, c_1100_2^3 - 3*c_1100_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0011_6, c_0101_1, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 29461/321*c_1100_2^8 + 252448/321*c_1100_2^7 - 52802/107*c_1100_2^6 - 1639336/321*c_1100_2^5 - 471104/321*c_1100_2^4 + 520981/107*c_1100_2^3 + 813563/321*c_1100_2^2 - 111359/321*c_1100_2 - 18658/107, c_0011_0 - 1, c_0011_1 - 2310/11663*c_1100_2^8 + 22023/11663*c_1100_2^7 - 34802/11663*c_1100_2^6 - 85019/11663*c_1100_2^5 + 37346/11663*c_1100_2^4 + 21871/11663*c_1100_2^3 + 37470/11663*c_1100_2^2 + 35359/11663*c_1100_2 - 18828/11663, c_0011_3 + 79/11663*c_1100_2^8 - 1768/11663*c_1100_2^7 + 10046/11663*c_1100_2^6 - 3035/11663*c_1100_2^5 - 65661/11663*c_1100_2^4 + 7093/11663*c_1100_2^3 + 87630/11663*c_1100_2^2 + 1603/11663*c_1100_2 - 21743/11663, c_0011_4 - 2739/11663*c_1100_2^8 + 23947/11663*c_1100_2^7 - 17606/11663*c_1100_2^6 - 160956/11663*c_1100_2^5 - 3370/11663*c_1100_2^4 + 210708/11663*c_1100_2^3 + 24435/11663*c_1100_2^2 - 66207/11663*c_1100_2 + 10665/11663, c_0011_6 + 11313/11663*c_1100_2^8 - 104811/11663*c_1100_2^7 + 132209/11663*c_1100_2^6 + 550830/11663*c_1100_2^5 - 211344/11663*c_1100_2^4 - 538839/11663*c_1100_2^3 + 39606/11663*c_1100_2^2 + 98308/11663*c_1100_2 - 3913/11663, c_0101_1 + 1917/11663*c_1100_2^8 - 22381/11663*c_1100_2^7 + 64991/11663*c_1100_2^6 + 41064/11663*c_1100_2^5 - 260193/11663*c_1100_2^4 - 21134/11663*c_1100_2^3 + 219735/11663*c_1100_2^2 + 8781/11663*c_1100_2 - 32451/11663, c_1100_2^9 - 9*c_1100_2^8 + 9*c_1100_2^7 + 54*c_1100_2^6 - 9*c_1100_2^5 - 63*c_1100_2^4 - 3*c_1100_2^3 + 18*c_1100_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB