Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 3347471332] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s277 geometric_solution 4.44589221 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2031 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 -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 0.693803629011 1.118349071155 0 3 4 4 0132 2031 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064837549734 0.372739515754 2 0 3 2 3012 0132 3120 1230 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 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 0.693803629011 1.118349071155 1 0 2 0 1302 1302 3120 0132 0 0 0 0 0 0 0 0 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 1 -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 0.599436291929 0.645672683347 5 1 1 5 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.574790895622 0.627249225266 4 4 5 5 0132 2310 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 3.529416325609 0.936830933672 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 997534783236815/47494016128076*c_0101_5^11 + 280249004332191/11873504032019*c_0101_5^10 + 2127417423779889/3392429723434*c_0101_5^9 + 17534306962710200/11873504032019*c_0101_5^8 - 21247226964481725/23747008064038*c_0101_5^7 - 286836351318740469/47494016128076*c_0101_5^6 + 12100360624824767/23747008064038*c_0101_5^5 + 90271313886700907/11873504032019*c_0101_5^4 - 75850413180808649/11873504032019*c_0101_5^3 + 14752732476023908/11873504032019*c_0101_5^2 + 4514433012170073/23747008064038*c_0101_5 + 8506021047545257/47494016128076, c_0011_0 - 1, c_0011_3 - 33430496597/1696214861717*c_0101_5^11 + 36567064310/1696214861717*c_0101_5^10 + 1020801075876/1696214861717*c_0101_5^9 + 2331009533452/1696214861717*c_0101_5^8 - 1925847907900/1696214861717*c_0101_5^7 - 10587637286243/1696214861717*c_0101_5^6 + 2329872154287/1696214861717*c_0101_5^5 + 17098199466863/1696214861717*c_0101_5^4 - 12334466503321/1696214861717*c_0101_5^3 - 2501003703870/1696214861717*c_0101_5^2 + 3089316003229/1696214861717*c_0101_5 - 744684290089/1696214861717, c_0011_4 - 12187918244/1696214861717*c_0101_5^11 + 18926414321/1696214861717*c_0101_5^10 + 358550831486/1696214861717*c_0101_5^9 + 712220522438/1696214861717*c_0101_5^8 - 956443738327/1696214861717*c_0101_5^7 - 3552130738703/1696214861717*c_0101_5^6 + 1885031164987/1696214861717*c_0101_5^5 + 6007410972275/1696214861717*c_0101_5^4 - 5018376126147/1696214861717*c_0101_5^3 - 1135916524987/1696214861717*c_0101_5^2 + 3790288305893/1696214861717*c_0101_5 - 173045414493/1696214861717, c_0101_0 + 123062347071/1696214861717*c_0101_2*c_0101_5^11 - 168718974755/1696214861717*c_0101_2*c_0101_5^10 - 3671782802537/1696214861717*c_0101_2*c_0101_5^9 - 7747223290844/1696214861717*c_0101_2*c_0101_5^8 + 8404076147584/1696214861717*c_0101_2*c_0101_5^7 + 37320463227515/1696214861717*c_0101_2*c_0101_5^6 - 11023553221656/1696214861717*c_0101_2*c_0101_5^5 - 54539596397874/1696214861717*c_0101_2*c_0101_5^4 + 42170970810210/1696214861717*c_0101_2*c_0101_5^3 - 2735885744871/1696214861717*c_0101_2*c_0101_5^2 - 5156867253016/1696214861717*c_0101_2*c_0101_5 - 1306222717913/1696214861717*c_0101_2, c_0101_2^2 + 33430496597/1696214861717*c_0101_5^11 - 36567064310/1696214861717*c_0101_5^10 - 1020801075876/1696214861717*c_0101_5^9 - 2331009533452/1696214861717*c_0101_5^8 + 1925847907900/1696214861717*c_0101_5^7 + 10587637286243/1696214861717*c_0101_5^6 - 2329872154287/1696214861717*c_0101_5^5 - 17098199466863/1696214861717*c_0101_5^4 + 12334466503321/1696214861717*c_0101_5^3 + 2501003703870/1696214861717*c_0101_5^2 - 3089316003229/1696214861717*c_0101_5 - 951530571628/1696214861717, c_0101_5^12 - c_0101_5^11 - 30*c_0101_5^10 - 74*c_0101_5^9 + 34*c_0101_5^8 + 293*c_0101_5^7 + 11*c_0101_5^6 - 366*c_0101_5^5 + 260*c_0101_5^4 - 20*c_0101_5^3 - 18*c_0101_5^2 - 9*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB