Magma V2.19-8 Tue Aug 20 2013 16:18:51 on localhost [Seed = 3886447257] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3010 geometric_solution 6.18369847 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 -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 0.798676786279 0.400941502538 0 3 0 4 0132 0132 1023 0132 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 0.999952307744 0.502031148558 5 0 4 0 0132 0132 2310 1023 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 -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 0.999952307744 0.502031148558 6 1 5 4 0132 0132 2031 1230 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 0 0 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 0.770836223334 0.757982142403 3 2 1 5 3012 3201 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.067013209627 0.562680065453 2 6 4 3 0132 2310 1230 1302 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 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 0 0 0 0.770836223334 0.757982142403 3 6 6 5 0132 1230 3012 3201 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 -1 1 0 -1 0 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 0.398055240277 0.714939553389 ==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' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 22666011661/9024417130*c_0101_5^12 - 61586354792/4512208565*c_0101_5^11 - 63271327387/4512208565*c_0101_5^10 + 340768051581/4512208565*c_0101_5^9 + 265041177384/902441713*c_0101_5^8 + 402967869628/902441713*c_0101_5^7 + 180829622973/902441713*c_0101_5^6 - 2050999583596/4512208565*c_0101_5^5 - 4297881257053/4512208565*c_0101_5^4 - 7672497013807/9024417130*c_0101_5^3 - 323379031598/902441713*c_0101_5^2 - 129097197653/4512208565*c_0101_5 + 4607044282/145555115, c_0011_0 - 1, c_0011_4 - 4899265/29111023*c_0101_5^12 - 18934545/29111023*c_0101_5^11 + 8993976/29111023*c_0101_5^10 + 159062366/29111023*c_0101_5^9 + 313301292/29111023*c_0101_5^8 + 168971262/29111023*c_0101_5^7 - 306224746/29111023*c_0101_5^6 - 689868684/29111023*c_0101_5^5 - 468856121/29111023*c_0101_5^4 - 65438360/29111023*c_0101_5^3 + 115591260/29111023*c_0101_5^2 + 83433756/29111023*c_0101_5 + 5703039/29111023, c_0101_0 + c_0101_5, c_0101_1 + 588851/29111023*c_0101_5^12 - 8384617/29111023*c_0101_5^11 - 45344226/29111023*c_0101_5^10 - 11448852/29111023*c_0101_5^9 + 314821705/29111023*c_0101_5^8 + 760498764/29111023*c_0101_5^7 + 588807258/29111023*c_0101_5^6 - 487247125/29111023*c_0101_5^5 - 1579783992/29111023*c_0101_5^4 - 1312768908/29111023*c_0101_5^3 - 410559435/29111023*c_0101_5^2 + 36575130/29111023*c_0101_5 + 7382078/29111023, c_0101_2 + 11600775/29111023*c_0101_5^12 + 59323839/29111023*c_0101_5^11 + 37179317/29111023*c_0101_5^10 - 394793311/29111023*c_0101_5^9 - 1216920507/29111023*c_0101_5^8 - 1387545861/29111023*c_0101_5^7 + 96673562/29111023*c_0101_5^6 + 2377311381/29111023*c_0101_5^5 + 3057564805/29111023*c_0101_5^4 + 1703842024/29111023*c_0101_5^3 + 314988947/29111023*c_0101_5^2 - 48239534/29111023*c_0101_5 - 3168749/29111023, c_0101_3 - 13436038/29111023*c_0101_5^12 - 56261057/29111023*c_0101_5^11 + 7101011/29111023*c_0101_5^10 + 440308595/29111023*c_0101_5^9 + 994551814/29111023*c_0101_5^8 + 756998967/29111023*c_0101_5^7 - 596075307/29111023*c_0101_5^6 - 1978605969/29111023*c_0101_5^5 - 1771976770/29111023*c_0101_5^4 - 770063198/29111023*c_0101_5^3 - 164347454/29111023*c_0101_5^2 - 19658172/29111023*c_0101_5 + 18582383/29111023, c_0101_5^13 + 5*c_0101_5^12 + 3*c_0101_5^11 - 33*c_0101_5^10 - 102*c_0101_5^9 - 120*c_0101_5^8 + 197*c_0101_5^6 + 268*c_0101_5^5 + 163*c_0101_5^4 + 32*c_0101_5^3 - 9*c_0101_5^2 - 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB