Magma V2.19-8 Tue Aug 20 2013 16:17:48 on localhost [Seed = 2648441215] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2033 geometric_solution 5.57069247 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615726776267 0.919709772984 0 0 5 4 0132 3120 0132 0132 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 -1 0 1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330091571214 0.255731721808 4 5 4 0 0132 2103 1230 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 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 0.777223456098 0.474766258694 3 3 0 4 1302 2031 0132 2031 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 0 0 0 0 0 0.204085975089 0.687808505235 2 3 1 2 0132 1302 0132 3012 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 -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 0.958753942283 0.991188039222 6 2 6 1 0132 2103 1023 0132 0 0 0 0 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 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 2.353441396489 2.620016813951 5 6 5 6 0132 1302 1023 2031 0 0 0 0 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 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 0.330091571214 0.255731721808 ==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' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], '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_5']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_5, c_0101_0, c_0101_2, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 157277580112519/147874438397824*c_1001_0^14 + 367805342153023/147874438397824*c_1001_0^13 - 1341669559355105/147874438397824*c_1001_0^12 - 216007528645995/147874438397824*c_1001_0^11 + 852866441910563/73937219198912*c_1001_0^10 - 436324399498931/18484304799728*c_1001_0^9 - 3653037797079155/147874438397824*c_1001_0^8 + 5225545426121445/73937219198912*c_1001_0^7 + 3788716460929345/73937219198912*c_1001_0^6 - 1567074259340237/9242152399864*c_1001_0^5 + 700616731882417/73937219198912*c_1001_0^4 + 18421288949401347/73937219198912*c_1001_0^3 - 20353011611285681/147874438397824*c_1001_0^2 - 2003889161269927/18484304799728*c_1001_0 + 1216482211989669/9242152399864, c_0011_0 - 1, c_0011_2 + 931385046711/73937219198912*c_1001_0^14 + 698709197547/36968609599456*c_1001_0^13 - 9317400496011/73937219198912*c_1001_0^12 + 2755087673813/36968609599456*c_1001_0^11 + 96623336768/1155269049983*c_1001_0^10 - 2531519430323/9242152399864*c_1001_0^9 - 7156197919035/73937219198912*c_1001_0^8 + 72540460839551/73937219198912*c_1001_0^7 + 9837980756321/73937219198912*c_1001_0^6 - 150034742146959/73937219198912*c_1001_0^5 + 104000940140019/73937219198912*c_1001_0^4 + 169543857613561/73937219198912*c_1001_0^3 - 21980337743021/9242152399864*c_1001_0^2 - 4012341411727/4621076199932*c_1001_0 + 1243652348941/1155269049983, c_0011_5 - 9810228615/36968609599456*c_1001_0^14 - 27166975277/9242152399864*c_1001_0^13 - 209456716921/36968609599456*c_1001_0^12 + 226960028611/9242152399864*c_1001_0^11 + 435818202293/9242152399864*c_1001_0^10 - 475418744371/4621076199932*c_1001_0^9 - 1477699605381/36968609599456*c_1001_0^8 + 3008937454935/36968609599456*c_1001_0^7 - 9527468789239/36968609599456*c_1001_0^6 - 18732355827579/36968609599456*c_1001_0^5 + 29390947129267/36968609599456*c_1001_0^4 + 36085120763209/36968609599456*c_1001_0^3 - 24553804612305/18484304799728*c_1001_0^2 - 1975994385111/4621076199932*c_1001_0 + 1193350022448/1155269049983, c_0101_0 - 50302326493/73937219198912*c_1001_0^14 + 400049262231/36968609599456*c_1001_0^13 + 1966870482761/73937219198912*c_1001_0^12 - 4273185388359/36968609599456*c_1001_0^11 + 199466990863/4621076199932*c_1001_0^10 + 437773144837/9242152399864*c_1001_0^9 - 10784269452407/73937219198912*c_1001_0^8 - 6816519685909/73937219198912*c_1001_0^7 + 61894771892325/73937219198912*c_1001_0^6 + 35231011472917/73937219198912*c_1001_0^5 - 108143425760417/73937219198912*c_1001_0^4 + 33146487523165/73937219198912*c_1001_0^3 + 12102536311965/9242152399864*c_1001_0^2 - 1071454136347/1155269049983*c_1001_0 - 559389083147/1155269049983, c_0101_2 - 673217209273/36968609599456*c_1001_0^14 - 449725461687/9242152399864*c_1001_0^13 + 5031500095921/36968609599456*c_1001_0^12 + 677051732845/9242152399864*c_1001_0^11 - 1067683318627/9242152399864*c_1001_0^10 + 1487678978161/4621076199932*c_1001_0^9 + 17446353931493/36968609599456*c_1001_0^8 - 34516461927591/36968609599456*c_1001_0^7 - 47287499076849/36968609599456*c_1001_0^6 + 75365906388835/36968609599456*c_1001_0^5 + 27077436081669/36968609599456*c_1001_0^4 - 109617212490577/36968609599456*c_1001_0^3 + 1657888831157/18484304799728*c_1001_0^2 + 1383721438577/1155269049983*c_1001_0 - 371995963564/1155269049983, c_0101_5 + 266565293923/73937219198912*c_1001_0^14 + 41983715393/36968609599456*c_1001_0^13 - 3483327482607/73937219198912*c_1001_0^12 + 2074521866551/36968609599456*c_1001_0^11 + 266383172573/9242152399864*c_1001_0^10 - 1565611964395/9242152399864*c_1001_0^9 + 5418192193769/73937219198912*c_1001_0^8 + 23181702715111/73937219198912*c_1001_0^7 - 22398575050471/73937219198912*c_1001_0^6 - 60560704346591/73937219198912*c_1001_0^5 + 90188916605227/73937219198912*c_1001_0^4 + 70876441883457/73937219198912*c_1001_0^3 - 32465614031979/18484304799728*c_1001_0^2 + 871098141751/2310538099966*c_1001_0 + 1078570124147/1155269049983, c_1001_0^15 + 3*c_1001_0^14 - 7*c_1001_0^13 - 7*c_1001_0^12 + 10*c_1001_0^11 - 16*c_1001_0^10 - 37*c_1001_0^9 + 52*c_1001_0^8 + 92*c_1001_0^7 - 126*c_1001_0^6 - 88*c_1001_0^5 + 240*c_1001_0^4 + 11*c_1001_0^3 - 180*c_1001_0^2 + 64*c_1001_0 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB