Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 357861831] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1294 geometric_solution 5.18637770 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.300573844638 0.347203725649 0 0 4 3 0132 2310 0132 0132 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 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 0.252076150390 1.008158092197 0 0 2 2 2310 0132 2031 1302 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 0 0 0 4.222420080573 1.729399787795 4 5 1 6 1230 0132 0132 0132 0 0 1 0 0 0 0 0 -1 0 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 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 1.228161437169 0.682089642044 6 3 5 1 1023 3012 1023 0132 0 0 0 1 0 0 0 0 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 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 1.228161437169 0.682089642044 6 3 4 6 0213 0132 1023 2103 0 0 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 0 0 -1 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 0.727476296695 0.642885793355 5 4 3 5 0213 1023 0132 2103 0 0 0 1 0 0 0 0 0 0 0 0 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727476296695 0.642885793355 ==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' : negation(d['c_0110_5']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0110_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 550873187/924951046*c_0110_5^9 + 3360691745/924951046*c_0110_5^8 + 2190749279/462475523*c_0110_5^7 + 2445256123/924951046*c_0110_5^6 + 18673888949/924951046*c_0110_5^5 + 71369946389/3699804184*c_0110_5^4 + 81356992499/3699804184*c_0110_5^3 + 184903440923/3699804184*c_0110_5^2 + 9640577307/1849902092*c_0110_5 + 18888115339/3699804184, c_0011_0 - 1, c_0011_3 - 1, c_0101_0 - 9553138/24340817*c_0110_5^9 - 17566810/24340817*c_0110_5^8 + 11888180/24340817*c_0110_5^7 - 72362498/24340817*c_0110_5^6 - 48166338/24340817*c_0110_5^5 - 28663799/48681634*c_0110_5^4 - 418930627/48681634*c_0110_5^3 + 106514251/48681634*c_0110_5^2 - 48095519/24340817*c_0110_5 - 9679255/48681634, c_0101_1 + 7839544/24340817*c_0110_5^9 + 19188360/24340817*c_0110_5^8 - 306572/24340817*c_0110_5^7 + 52131876/24340817*c_0110_5^6 + 68643844/24340817*c_0110_5^5 + 49194626/24340817*c_0110_5^4 + 185124394/24340817*c_0110_5^3 + 40904373/24340817*c_0110_5^2 + 42531162/24340817*c_0110_5 - 6552296/24340817, c_0101_2 + 15664992/24340817*c_0110_5^9 + 36236764/24340817*c_0110_5^8 - 3877532/24340817*c_0110_5^7 + 106381880/24340817*c_0110_5^6 + 122761708/24340817*c_0110_5^5 + 88115808/24340817*c_0110_5^4 + 325186101/24340817*c_0110_5^3 + 67817327/24340817*c_0110_5^2 + 46154574/24340817*c_0110_5 - 18136397/24340817, c_0101_4 - 26209184/24340817*c_0110_5^9 - 44578824/24340817*c_0110_5^8 + 45397544/24340817*c_0110_5^7 - 183770860/24340817*c_0110_5^6 - 105123228/24340817*c_0110_5^5 - 3431412/24340817*c_0110_5^4 - 488093646/24340817*c_0110_5^3 + 237542762/24340817*c_0110_5^2 - 18066291/24340817*c_0110_5 + 24742641/24340817, c_0110_5^10 + 2*c_0110_5^9 - c_0110_5^8 + 7*c_0110_5^7 + 6*c_0110_5^6 + 11/4*c_0110_5^5 + 41/2*c_0110_5^4 - 2*c_0110_5^3 + 9/4*c_0110_5^2 - 1/4*c_0110_5 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB