Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 4206585741] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3074 geometric_solution 6.23816900 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 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 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 -0.184289659835 0.752719875721 0 0 2 4 0132 2103 2310 0132 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 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 -0.184289659835 0.752719875721 5 1 5 0 0132 3201 1023 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 -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 0.164045212914 1.782876731137 4 6 0 5 0321 0132 0132 1023 0 0 0 0 0 1 -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 -1 0 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 0.341258345528 1.073364011607 3 6 1 5 0321 3201 0132 3201 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 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 0.341258345528 1.073364011607 2 4 2 3 0132 2310 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101615201476 0.631787130530 6 3 4 6 3201 0132 2310 2310 0 0 0 0 0 -1 1 0 0 0 1 -1 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 0 -1 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 0.648593201944 0.616450231362 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0101_6']})} 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_3, c_0101_0, c_0101_2, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3679218346488017/10329156281299*c_1100_0^15 - 1184519025855321/10329156281299*c_1100_0^14 - 51122821073493011/10329156281299*c_1100_0^13 - 16651667219600074/10329156281299*c_1100_0^12 + 266519586860823105/10329156281299*c_1100_0^11 + 215813156435312190/10329156281299*c_1100_0^10 - 610035051607086445/10329156281299*c_1100_0^9 - 697104838607061002/10329156281299*c_1100_0^8 + 592005931162427937/10329156281299*c_1100_0^7 + 922888088544319747/10329156281299*c_1100_0^6 - 194549130130382851/10329156281299*c_1100_0^5 - 499224345050378316/10329156281299*c_1100_0^4 + 14605214677715520/10329156281299*c_1100_0^3 + 138953101825643707/10329156281299*c_1100_0^2 - 148110938390203264/10329156281299*c_1100_0 + 10534416440201800/10329156281299, c_0011_0 - 1, c_0011_2 + c_1100_0, c_0011_3 + 1008856667534/10329156281299*c_1100_0^15 + 101975581886/10329156281299*c_1100_0^14 - 14299496027611/10329156281299*c_1100_0^13 - 10294214079798/10329156281299*c_1100_0^12 + 72458532658656/10329156281299*c_1100_0^11 + 89191762016451/10329156281299*c_1100_0^10 - 145772414329726/10329156281299*c_1100_0^9 - 261328987354346/10329156281299*c_1100_0^8 + 81955471557444/10329156281299*c_1100_0^7 + 316675623638846/10329156281299*c_1100_0^6 + 58918291930235/10329156281299*c_1100_0^5 - 150872633445239/10329156281299*c_1100_0^4 - 57166584850871/10329156281299*c_1100_0^3 + 37628929949504/10329156281299*c_1100_0^2 - 19832691725046/10329156281299*c_1100_0 - 13329929425006/10329156281299, c_0101_0 - 1038820119128/10329156281299*c_1100_0^15 + 34421830494/10329156281299*c_1100_0^14 + 14337991171615/10329156281299*c_1100_0^13 + 8999797889643/10329156281299*c_1100_0^12 - 71321424123394/10329156281299*c_1100_0^11 - 82687731595421/10329156281299*c_1100_0^10 + 141607216061544/10329156281299*c_1100_0^9 + 240101239078004/10329156281299*c_1100_0^8 - 80455117834837/10329156281299*c_1100_0^7 - 286071098556153/10329156281299*c_1100_0^6 - 51007521687312/10329156281299*c_1100_0^5 + 127264804723995/10329156281299*c_1100_0^4 + 47892792240451/10329156281299*c_1100_0^3 - 22746834754566/10329156281299*c_1100_0^2 + 32770320750941/10329156281299*c_1100_0 + 9100864288863/10329156281299, c_0101_2 + 1024258569460/10329156281299*c_1100_0^15 + 73704252508/10329156281299*c_1100_0^14 - 14186489012499/10329156281299*c_1100_0^13 - 10450058986090/10329156281299*c_1100_0^12 + 70168194883155/10329156281299*c_1100_0^11 + 90562448469743/10329156281299*c_1100_0^10 - 135536661426401/10329156281299*c_1100_0^9 - 261563626468388/10329156281299*c_1100_0^8 + 64129169024749/10329156281299*c_1100_0^7 + 316912106992731/10329156281299*c_1100_0^6 + 75032176295863/10329156281299*c_1100_0^5 - 151894697851790/10329156281299*c_1100_0^4 - 66248011528740/10329156281299*c_1100_0^3 + 39284210085549/10329156281299*c_1100_0^2 - 19450063959138/10329156281299*c_1100_0 - 11775428976186/10329156281299, c_0101_6 + 576405669182/10329156281299*c_1100_0^15 + 85010153355/10329156281299*c_1100_0^14 - 7884101015730/10329156281299*c_1100_0^13 - 6407504314223/10329156281299*c_1100_0^12 + 37763700712348/10329156281299*c_1100_0^11 + 52142857779863/10329156281299*c_1100_0^10 - 67173382269564/10329156281299*c_1100_0^9 - 141857078130809/10329156281299*c_1100_0^8 + 20696651509995/10329156281299*c_1100_0^7 + 157253257841993/10329156281299*c_1100_0^6 + 42882980483937/10329156281299*c_1100_0^5 - 62064309920173/10329156281299*c_1100_0^4 - 20611797172632/10329156281299*c_1100_0^3 + 11279813573440/10329156281299*c_1100_0^2 - 15226784991609/10329156281299*c_1100_0 - 8376121062608/10329156281299, c_1100_0^16 - 14*c_1100_0^14 - 9*c_1100_0^13 + 71*c_1100_0^12 + 82*c_1100_0^11 - 147*c_1100_0^10 - 243*c_1100_0^9 + 100*c_1100_0^8 + 303*c_1100_0^7 + 28*c_1100_0^6 - 153*c_1100_0^5 - 40*c_1100_0^4 + 39*c_1100_0^3 - 28*c_1100_0^2 - 10*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB