Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 2378961034] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3359 geometric_solution 6.52458703 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 0 0 0 0 -1 0 1 -1 0 0 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 0.876478041045 0.801828970693 0 5 5 2 0132 0132 1230 2103 0 0 0 0 0 1 -1 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 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 0.607463650452 0.663792326121 5 0 4 1 0321 0132 1230 2103 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 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 0.784746826403 1.531780931017 4 5 6 0 0213 3201 0132 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 0.916660231551 0.455432872537 3 6 0 2 0213 1230 0132 3012 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 -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 0.350669275882 0.708010656535 2 1 3 1 0321 0132 2310 3012 0 0 0 0 0 -1 1 0 -1 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619531019853 0.554134708149 6 6 4 3 1230 3012 3012 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 0.572170779457 0.519435139191 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_1001_2']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2']})} 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_0011_4, c_0101_0, c_0101_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 4561772889518/670576410287*c_1001_2^15 + 23455584094861/670576410287*c_1001_2^14 + 57153553804052/670576410287*c_1001_2^13 + 85464726699665/670576410287*c_1001_2^12 + 3874539009975/95796630041*c_1001_2^11 - 90212940765167/670576410287*c_1001_2^10 - 205500704747298/670576410287*c_1001_2^9 + 15786700697706/670576410287*c_1001_2^8 + 236480347026753/670576410287*c_1001_2^7 + 283403607126200/670576410287*c_1001_2^6 - 193212980150790/670576410287*c_1001_2^5 - 200337620019254/670576410287*c_1001_2^4 + 24655087179178/95796630041*c_1001_2^3 - 28275658356978/670576410287*c_1001_2^2 - 51435928549863/670576410287*c_1001_2 + 24160723757826/670576410287, c_0011_0 - 1, c_0011_3 - 25807301813/95796630041*c_1001_2^15 - 131235041722/95796630041*c_1001_2^14 - 327312045175/95796630041*c_1001_2^13 - 515489202976/95796630041*c_1001_2^12 - 32791583045/13685232863*c_1001_2^11 + 395281546126/95796630041*c_1001_2^10 + 1196147751415/95796630041*c_1001_2^9 + 94174385819/95796630041*c_1001_2^8 - 930842677354/95796630041*c_1001_2^7 - 1847146004918/95796630041*c_1001_2^6 + 774682777273/95796630041*c_1001_2^5 + 611617093495/95796630041*c_1001_2^4 - 21912440923/13685232863*c_1001_2^3 + 142229898988/95796630041*c_1001_2^2 - 85737977568/95796630041*c_1001_2 + 62828667686/95796630041, c_0011_4 - 24134564865/95796630041*c_1001_2^15 - 142010200474/95796630041*c_1001_2^14 - 388630096308/95796630041*c_1001_2^13 - 653480197599/95796630041*c_1001_2^12 - 62490260939/13685232863*c_1001_2^11 + 409908927221/95796630041*c_1001_2^10 + 1375551548625/95796630041*c_1001_2^9 + 592139256554/95796630041*c_1001_2^8 - 1494910562653/95796630041*c_1001_2^7 - 2202618464663/95796630041*c_1001_2^6 + 53827690740/95796630041*c_1001_2^5 + 2001691848069/95796630041*c_1001_2^4 - 93692836303/13685232863*c_1001_2^3 - 309032392343/95796630041*c_1001_2^2 + 524008325159/95796630041*c_1001_2 - 171165861193/95796630041, c_0101_0 - 24134564865/95796630041*c_1001_2^15 - 142010200474/95796630041*c_1001_2^14 - 388630096308/95796630041*c_1001_2^13 - 653480197599/95796630041*c_1001_2^12 - 62490260939/13685232863*c_1001_2^11 + 409908927221/95796630041*c_1001_2^10 + 1375551548625/95796630041*c_1001_2^9 + 592139256554/95796630041*c_1001_2^8 - 1494910562653/95796630041*c_1001_2^7 - 2202618464663/95796630041*c_1001_2^6 + 53827690740/95796630041*c_1001_2^5 + 2001691848069/95796630041*c_1001_2^4 - 93692836303/13685232863*c_1001_2^3 - 404829022384/95796630041*c_1001_2^2 + 428211695118/95796630041*c_1001_2 - 171165861193/95796630041, c_0101_2 + 5744833895/13685232863*c_1001_2^15 + 27749779279/13685232863*c_1001_2^14 + 63842492811/13685232863*c_1001_2^13 + 89949213561/13685232863*c_1001_2^12 + 10951744561/13685232863*c_1001_2^11 - 109853210431/13685232863*c_1001_2^10 - 222687848585/13685232863*c_1001_2^9 + 85931427234/13685232863*c_1001_2^8 + 258143078567/13685232863*c_1001_2^7 + 285978815335/13685232863*c_1001_2^6 - 329976205839/13685232863*c_1001_2^5 - 133262541333/13685232863*c_1001_2^4 + 233512306607/13685232863*c_1001_2^3 - 85120549646/13685232863*c_1001_2^2 - 32854371428/13685232863*c_1001_2 + 21137786939/13685232863, c_1001_0 + 16867450485/95796630041*c_1001_2^15 + 66795594134/95796630041*c_1001_2^14 + 110804014883/95796630041*c_1001_2^13 + 69759671790/95796630041*c_1001_2^12 - 39578980011/13685232863*c_1001_2^11 - 473325491654/95796630041*c_1001_2^10 - 422552929263/95796630041*c_1001_2^9 + 960153803005/95796630041*c_1001_2^8 + 867861246552/95796630041*c_1001_2^7 + 265578581182/95796630041*c_1001_2^6 - 2021972675615/95796630041*c_1001_2^5 - 7448387463/95796630041*c_1001_2^4 + 162814840718/13685232863*c_1001_2^3 - 472106213179/95796630041*c_1001_2^2 - 33021033562/95796630041*c_1001_2 + 111097797416/95796630041, c_1001_2^16 + 5*c_1001_2^15 + 12*c_1001_2^14 + 18*c_1001_2^13 + 6*c_1001_2^12 - 16*c_1001_2^11 - 39*c_1001_2^10 + 9*c_1001_2^9 + 44*c_1001_2^8 + 54*c_1001_2^7 - 46*c_1001_2^6 - 25*c_1001_2^5 + 40*c_1001_2^4 - 12*c_1001_2^3 - 7*c_1001_2^2 + 6*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB