Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 3768679460] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0453 geometric_solution 4.49351520 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0.352914220874 0.188685526696 2 0 3 0 0132 2310 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 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 0.443447110369 0.989489503580 1 4 3 3 0132 0132 3012 1230 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 0 1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.537571675944 1.457340648742 2 2 4 1 3012 1230 3201 0132 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 0 -1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.537571675944 1.457340648742 3 2 5 5 2310 0132 3201 0132 0 0 0 0 0 1 0 -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 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 -0.186690031793 0.435209583247 4 6 4 6 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.042841696400 2.131777251457 5 5 6 6 3201 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362753976010 0.094812157549 ==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' : negation(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' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 99085171095619382990170141/30154957907924647701591424*c_0110_6^19 + 9008554964558672095928493451/30154957907924647701591424*c_0110_6^17 + 6420375216467139080520928697/1370679904905665804617792*c_0110_6^1\ 5 + 453867408514389031405247145259/30154957907924647701591424*c_011\ 0_6^13 - 1788021129157640744187243297643/30154957907924647701591424\ *c_0110_6^11 + 628390739420374439588083449803/301549579079246477015\ 91424*c_0110_6^9 + 480967016263336487105152072217/15077478953962323\ 850795712*c_0110_6^7 - 8565627679842996210027584075/685339952452832\ 902308896*c_0110_6^5 - 175365492821178490120443816937/3015495790792\ 4647701591424*c_0110_6^3 + 7643780013938466010763431365/75387394769\ 81161925397856*c_0110_6, c_0011_0 - 1, c_0011_1 - 130688146545264912825/85667494056604112788612*c_0110_6^18 + 11807117090480455323587/85667494056604112788612*c_0110_6^16 + 48266683677435483036015/21416873514151028197153*c_0110_6^14 + 707207400576832445056155/85667494056604112788612*c_0110_6^12 - 1980938879177489976057389/85667494056604112788612*c_0110_6^10 - 380539387810382273462677/85667494056604112788612*c_0110_6^8 + 718623470931782252389497/42833747028302056394306*c_0110_6^6 + 37682436646231791284567/42833747028302056394306*c_0110_6^4 - 198966399293521805182175/85667494056604112788612*c_0110_6^2 - 10251220596150044633721/21416873514151028197153, c_0011_3 + 94168953007762183925/85667494056604112788612*c_0110_6^18 - 8518722217610455399725/85667494056604112788612*c_0110_6^16 - 69086382788404120164079/42833747028302056394306*c_0110_6^14 - 489228403481730508725733/85667494056604112788612*c_0110_6^12 + 1555502386284439986665079/85667494056604112788612*c_0110_6^10 + 371052350374319834918493/85667494056604112788612*c_0110_6^8 - 418235885851842710398018/21416873514151028197153*c_0110_6^6 + 54266317604162886917693/42833747028302056394306*c_0110_6^4 + 355323138066137762184221/85667494056604112788612*c_0110_6^2 - 5058323765138452790065/21416873514151028197153, c_0011_5 + 303081768177572172971/85667494056604112788612*c_0110_6^18 - 27649665592810639086175/85667494056604112788612*c_0110_6^16 - 105868856625897871001562/21416873514151028197153*c_0110_6^14 - 1254091351774530868881687/85667494056604112788612*c_0110_6^12 + 5902578872529150414154419/85667494056604112788612*c_0110_6^10 - 3564172562199676207746441/85667494056604112788612*c_0110_6^8 - 513827522961823267195141/21416873514151028197153*c_0110_6^6 + 355611938214355391366530/21416873514151028197153*c_0110_6^4 + 278462082763672933621481/85667494056604112788612*c_0110_6^2 - 15150495149505217077209/21416873514151028197153, c_0101_0 + 587584133535257585375/85667494056604112788612*c_0110_6^19 - 53483681731367262735951/85667494056604112788612*c_0110_6^17 - 415954916793983683824109/42833747028302056394306*c_0110_6^15 - 2608094059762158441504209/85667494056604112788612*c_0110_6^13 + 10807401624001250644964929/85667494056604112788612*c_0110_6^11 - 5097015334201225901245311/85667494056604112788612*c_0110_6^9 - 1065906743371065993336442/21416873514151028197153*c_0110_6^7 + 1129398894815114795698027/42833747028302056394306*c_0110_6^5 + 543005597834030658884601/85667494056604112788612*c_0110_6^3 - 104013618668773302060435/42833747028302056394306*c_0110_6, c_0101_3 - 241665612361545701019/21416873514151028197153*c_0110_6^19 + 43932938302841871840637/42833747028302056394306*c_0110_6^17 + 344952994583516330870585/21416873514151028197153*c_0110_6^15 + 2230675690196111667956757/42833747028302056394306*c_0110_6^13 - 4320592108196095279683855/21416873514151028197153*c_0110_6^11 + 1494837461894924556351665/21416873514151028197153*c_0110_6^9 + 4339062569560808355905323/42833747028302056394306*c_0110_6^7 - 1534939016184806083464185/42833747028302056394306*c_0110_6^5 - 428827941845088526997889/21416873514151028197153*c_0110_6^3 + 32947909693669105971678/21416873514151028197153*c_0110_6, c_0110_6^20 - 91*c_0110_6^18 - 1418*c_0110_6^16 - 4463*c_0110_6^14 + 18419*c_0110_6^12 - 7851*c_0110_6^10 - 9118*c_0110_6^8 + 4580*c_0110_6^6 + 1429*c_0110_6^4 - 448*c_0110_6^2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB