Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 2101141947] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0296 geometric_solution 4.33970175 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 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 0.238121375424 0.056574604687 0 1 0 1 0132 2310 2310 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 -2.007604998059 0.235216885491 3 0 3 0 0132 2310 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.775627405335 1.651433409345 2 2 4 5 0132 3201 0132 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 1 0 -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 0.209130076098 0.662636924719 6 5 5 3 0132 3012 1230 0132 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 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 1.101646134082 0.819964581596 4 6 3 4 1230 0132 0132 3012 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 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 1.101646134082 0.819964581596 4 5 6 6 0132 0132 1230 3012 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743181467105 0.834941799189 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(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_0101_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], '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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 22115444945379/272465557639*c_0101_4^15 + 215788047395831/272465557639*c_0101_4^14 - 694596430863608/272465557639*c_0101_4^13 + 66230623042819/24769596149*c_0101_4^12 + 192349233930828/24769596149*c_0101_4^11 - 1733822121338150/272465557639*c_0101_4^10 - 4237062104263809/272465557639*c_0101_4^9 + 1173579426625876/272465557639*c_0101_4^8 + 4792526646456773/272465557639*c_0101_4^7 - 1359146753697695/272465557639*c_0101_4^6 - 2811443980824674/272465557639*c_0101_4^5 + 1277077965848078/272465557639*c_0101_4^4 + 654028461157085/272465557639*c_0101_4^3 - 440338841952370/272465557639*c_0101_4^2 - 2761584563308/272465557639*c_0101_4 + 32330594544621/272465557639, c_0011_0 - 1, c_0011_2 + 26018503507/5384694815*c_0101_4^15 - 261168584106/5384694815*c_0101_4^14 + 881973381392/5384694815*c_0101_4^13 - 1026975324091/5384694815*c_0101_4^12 - 2421133663323/5384694815*c_0101_4^11 + 2870688089329/5384694815*c_0101_4^10 + 1011903244668/1076938963*c_0101_4^9 - 2895336586374/5384694815*c_0101_4^8 - 6526194744746/5384694815*c_0101_4^7 + 554224921433/1076938963*c_0101_4^6 + 3989399443362/5384694815*c_0101_4^5 - 2093203157857/5384694815*c_0101_4^4 - 909864961838/5384694815*c_0101_4^3 + 658419922909/5384694815*c_0101_4^2 + 2551952999/5384694815*c_0101_4 - 38298689048/5384694815, c_0011_4 - 7426408302/5384694815*c_0101_4^15 + 67276305591/5384694815*c_0101_4^14 - 182975946172/5384694815*c_0101_4^13 + 82427371331/5384694815*c_0101_4^12 + 896211345403/5384694815*c_0101_4^11 - 159914020949/5384694815*c_0101_4^10 - 337941160853/1076938963*c_0101_4^9 - 441124155161/5384694815*c_0101_4^8 + 1658371997601/5384694815*c_0101_4^7 + 61511571325/1076938963*c_0101_4^6 - 1104966825742/5384694815*c_0101_4^5 + 107999105717/5384694815*c_0101_4^4 + 347471427073/5384694815*c_0101_4^3 - 101367427409/5384694815*c_0101_4^2 - 24879799399/5384694815*c_0101_4 + 9324917368/5384694815, c_0101_0 - 4009738002/5384694815*c_0101_4^15 + 41189207981/5384694815*c_0101_4^14 - 146364241032/5384694815*c_0101_4^13 + 202162182886/5384694815*c_0101_4^12 + 281802618408/5384694815*c_0101_4^11 - 416151608339/5384694815*c_0101_4^10 - 139512318096/1076938963*c_0101_4^9 + 422515089239/5384694815*c_0101_4^8 + 888674215476/5384694815*c_0101_4^7 - 61181994947/1076938963*c_0101_4^6 - 450767011262/5384694815*c_0101_4^5 + 105362732612/5384694815*c_0101_4^4 + 93624566948/5384694815*c_0101_4^3 - 7460184104/5384694815*c_0101_4^2 - 10168194459/5384694815*c_0101_4 - 4282453597/5384694815, c_0101_1 + 12302148237/5384694815*c_0101_4^15 - 121471608271/5384694815*c_0101_4^14 + 396322974537/5384694815*c_0101_4^13 - 412022799171/5384694815*c_0101_4^12 - 1246524525553/5384694815*c_0101_4^11 + 1215668002419/5384694815*c_0101_4^10 + 520880781334/1076938963*c_0101_4^9 - 1030320181229/5384694815*c_0101_4^8 - 3296132487596/5384694815*c_0101_4^7 + 176125307840/1076938963*c_0101_4^6 + 2052342896352/5384694815*c_0101_4^5 - 785494252267/5384694815*c_0101_4^4 - 502402000683/5384694815*c_0101_4^3 + 275734969149/5384694815*c_0101_4^2 + 10523279464/5384694815*c_0101_4 - 11735267378/5384694815, c_0101_2 + 16442321429/5384694815*c_0101_4^15 - 167058466312/5384694815*c_0101_4^14 + 578384090034/5384694815*c_0101_4^13 - 725019866807/5384694815*c_0101_4^12 - 1425992108791/5384694815*c_0101_4^11 + 1974367457803/5384694815*c_0101_4^10 + 581956563315/1076938963*c_0101_4^9 - 2191873827053/5384694815*c_0101_4^8 - 3776036687042/5384694815*c_0101_4^7 + 459095395929/1076938963*c_0101_4^6 + 2213944055199/5384694815*c_0101_4^5 - 1657903434084/5384694815*c_0101_4^4 - 427930256716/5384694815*c_0101_4^3 + 492503256338/5384694815*c_0101_4^2 - 25143397302/5384694815*c_0101_4 - 30647087421/5384694815, c_0101_4^16 - 9*c_0101_4^15 + 24*c_0101_4^14 - 9*c_0101_4^13 - 121*c_0101_4^12 + 6*c_0101_4^11 + 253*c_0101_4^10 + 93*c_0101_4^9 - 261*c_0101_4^8 - 107*c_0101_4^7 + 176*c_0101_4^6 + 43*c_0101_4^5 - 73*c_0101_4^4 - 4*c_0101_4^3 + 15*c_0101_4^2 - c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB