Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 3381155281] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s727 geometric_solution 5.24021048 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 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 0.255368511396 0.521925361613 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533721453149 1.098028589214 1 3 0 4 1230 0132 0132 3201 0 0 0 0 0 -1 1 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 -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 0.533721453149 1.098028589214 1 2 3 3 0132 0132 2031 1302 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493287148586 1.030958244412 5 2 5 1 0132 2310 2310 0132 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 0 0 0 0 0 0 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 0.431816768792 1.523959005873 4 4 5 5 0132 3201 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 1 0 -1 0 0 1 -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 0.433661436385 0.154063828180 ==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' : 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' : d['1'], 's_2_5' : 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_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_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], '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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 89639723758528818/415308976072625*c_0101_4^17 - 40362659214756059/83061795214525*c_0101_4^16 - 438096807426228373/83061795214525*c_0101_4^15 + 5840037962997446007/415308976072625*c_0101_4^14 + 1894615358979537296/83061795214525*c_0101_4^13 - 26512412315535645157/415308976072625*c_0101_4^12 - 2111961201760751333/83061795214525*c_0101_4^11 + 25053980612913445952/415308976072625*c_0101_4^10 + 27118266374193367638/415308976072625*c_0101_4^9 - 8497566112231817918/415308976072625*c_0101_4^8 - 28002616411995997514/415308976072625*c_0101_4^7 - 8157593832917645803/415308976072625*c_0101_4^6 + 7382960357104319601/415308976072625*c_0101_4^5 + 11035653038403171304/415308976072625*c_0101_4^4 + 2143235043887206838/415308976072625*c_0101_4^3 - 17875264801655271/4111970060125*c_0101_4^2 - 1781602211708660327/415308976072625*c_0101_4 - 356773783027498761/415308976072625, c_0011_0 - 1, c_0011_1 - 7075020456471/16612359042905*c_0101_4^17 + 16108324787641/16612359042905*c_0101_4^16 + 168199535934667/16612359042905*c_0101_4^15 - 91582972552830/3322471808581*c_0101_4^14 - 628075171127598/16612359042905*c_0101_4^13 + 1888597384499398/16612359042905*c_0101_4^12 + 230488072931619/16612359042905*c_0101_4^11 - 1024430817777571/16612359042905*c_0101_4^10 - 1230860300647206/16612359042905*c_0101_4^9 - 1688664691063/16612359042905*c_0101_4^8 + 952580011271704/16612359042905*c_0101_4^7 + 77265976896694/3322471808581*c_0101_4^6 + 37689810990799/3322471808581*c_0101_4^5 - 342839342354837/16612359042905*c_0101_4^4 - 107803160814531/16612359042905*c_0101_4^3 - 670572749477/164478802405*c_0101_4^2 + 27935202936619/16612359042905*c_0101_4 + 3609039505023/16612359042905, c_0011_4 - 696886931318559/83061795214525*c_0101_4^17 + 317175612665652/16612359042905*c_0101_4^16 + 3396668562694909/16612359042905*c_0101_4^15 - 45789554900221741/83061795214525*c_0101_4^14 - 14472371584559438/16612359042905*c_0101_4^13 + 207181272642769941/83061795214525*c_0101_4^12 + 15334696548239969/16612359042905*c_0101_4^11 - 193479624867660001/83061795214525*c_0101_4^10 - 207019296438277544/83061795214525*c_0101_4^9 + 68043864772002759/83061795214525*c_0101_4^8 + 215064807399596632/83061795214525*c_0101_4^7 + 59907373997947039/83061795214525*c_0101_4^6 - 56531778278947038/83061795214525*c_0101_4^5 - 84389405032662327/83061795214525*c_0101_4^4 - 15362117039405044/83061795214525*c_0101_4^3 + 134555266481523/822394012025*c_0101_4^2 + 13458579604396076/83061795214525*c_0101_4 + 2564522642955268/83061795214525, c_0101_0 - 736921202180286/83061795214525*c_0101_4^17 + 336041011234063/16612359042905*c_0101_4^16 + 3595185242167906/16612359042905*c_0101_4^15 - 48548262180953239/83061795214525*c_0101_4^14 - 15380541331138457/16612359042905*c_0101_4^13 + 220866490762015864/83061795214525*c_0101_4^12 + 16555894561239261/16612359042905*c_0101_4^11 - 211232140258734129/83061795214525*c_0101_4^10 - 220929972238896151/83061795214525*c_0101_4^9 + 77323908614770661/83061795214525*c_0101_4^8 + 232720899627902353/83061795214525*c_0101_4^7 + 63416867371305056/83061795214525*c_0101_4^6 - 64357559955863677/83061795214525*c_0101_4^5 - 91857193073816333/83061795214525*c_0101_4^4 - 16371316348871076/83061795214525*c_0101_4^3 + 155600080588767/822394012025*c_0101_4^2 + 14996597019071279/83061795214525*c_0101_4 + 2852732275342597/83061795214525, c_0101_1 - 146520754978956/16612359042905*c_0101_4^17 + 330998925614786/16612359042905*c_0101_4^16 + 3576007379872637/16612359042905*c_0101_4^15 - 1913805409136648/3322471808581*c_0101_4^14 - 15366026264778243/16612359042905*c_0101_4^13 + 43333003069799193/16612359042905*c_0101_4^12 + 16775354795582029/16612359042905*c_0101_4^11 - 40605826257223441/16612359042905*c_0101_4^10 - 44062371007569561/16612359042905*c_0101_4^9 + 14056070987782412/16612359042905*c_0101_4^8 + 45546898096317049/16612359042905*c_0101_4^7 + 2591400620724137/3322471808581*c_0101_4^6 - 2412296391778261/3322471808581*c_0101_4^5 - 17959213300558122/16612359042905*c_0101_4^4 - 3309084877742616/16612359042905*c_0101_4^3 + 29069139022968/164478802405*c_0101_4^2 + 2903750054681549/16612359042905*c_0101_4 + 553764847893783/16612359042905, c_0101_4^18 - 2*c_0101_4^17 - 25*c_0101_4^16 + 59*c_0101_4^15 + 122*c_0101_4^14 - 269*c_0101_4^13 - 192*c_0101_4^12 + 249*c_0101_4^11 + 373*c_0101_4^10 - 18*c_0101_4^9 - 336*c_0101_4^8 - 170*c_0101_4^7 + 59*c_0101_4^6 + 144*c_0101_4^5 + 55*c_0101_4^4 - 14*c_0101_4^3 - 25*c_0101_4^2 - 9*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB