Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 2598045368] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s374 geometric_solution 4.59383957 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 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 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 0.360427484452 0.190215939953 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 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 0.469500139645 0.955041773610 1 3 4 3 0132 3201 0132 2310 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 -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 -0.312747319840 1.438324633499 2 4 2 1 3201 1023 2310 0132 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 1 0 -1 0 0 0 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 -0.312747319840 1.438324633499 3 5 5 2 1023 0132 1023 0132 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350106098055 0.262261171855 5 4 4 5 3201 0132 1023 2310 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173964127876 1.016779886924 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], '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_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], '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_0101_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : 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_3, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 80591862262307262569/44407118808344761*c_0101_5^14 + 173461373456952067693/44407118808344761*c_0101_5^13 - 387680038490960017760/6343874115477823*c_0101_5^12 - 462050216854313925555/6343874115477823*c_0101_5^11 + 26829754251858787330425/44407118808344761*c_0101_5^10 + 5784562651484275602298/44407118808344761*c_0101_5^9 - 65218969234111174658310/44407118808344761*c_0101_5^8 + 1324410359007797633237/44407118808344761*c_0101_5^7 + 37618623261277146374298/44407118808344761*c_0101_5^6 + 17119917174942997548880/44407118808344761*c_0101_5^5 - 9961650391520387397982/44407118808344761*c_0101_5^4 - 5475336863550897084969/44407118808344761*c_0101_5^3 - 2206857557097110802352/44407118808344761*c_0101_5^2 + 3935660517230784473821/44407118808344761*c_0101_5 - 526604985776170126396/44407118808344761, c_0011_0 - 1, c_0011_1 + 6062962509726694/6343874115477823*c_0101_5^14 + 13821793777634605/6343874115477823*c_0101_5^13 - 201864840649334422/6343874115477823*c_0101_5^12 - 267184577118970474/6343874115477823*c_0101_5^11 + 1968818318274588457/6343874115477823*c_0101_5^10 + 643841908833794333/6343874115477823*c_0101_5^9 - 4699989022889136198/6343874115477823*c_0101_5^8 - 293105673871836868/6343874115477823*c_0101_5^7 + 2606082069117020418/6343874115477823*c_0101_5^6 + 1379370796289233911/6343874115477823*c_0101_5^5 - 579345478974298540/6343874115477823*c_0101_5^4 - 404928643578481673/6343874115477823*c_0101_5^3 - 205737307943372262/6343874115477823*c_0101_5^2 + 259613648514875289/6343874115477823*c_0101_5 - 29032684633186127/6343874115477823, c_0011_3 - 3713470696215774/6343874115477823*c_0101_5^14 - 7332124936354963/6343874115477823*c_0101_5^13 + 127457452538013247/6343874115477823*c_0101_5^12 + 130136150070581605/6343874115477823*c_0101_5^11 - 1292046293364893166/6343874115477823*c_0101_5^10 - 122040167576777369/6343874115477823*c_0101_5^9 + 3289672078527806032/6343874115477823*c_0101_5^8 - 239278852722836612/6343874115477823*c_0101_5^7 - 2081321876724938993/6343874115477823*c_0101_5^6 - 876651585802344037/6343874115477823*c_0101_5^5 + 561361642589824836/6343874115477823*c_0101_5^4 + 300840017249273653/6343874115477823*c_0101_5^3 + 108443581420736077/6343874115477823*c_0101_5^2 - 201411473704614451/6343874115477823*c_0101_5 + 25610257025521147/6343874115477823, c_0101_0 - 3563047687329164/6343874115477823*c_0101_5^14 - 6543325490508691/6343874115477823*c_0101_5^13 + 123809665015562853/6343874115477823*c_0101_5^12 + 109993591658210838/6343874115477823*c_0101_5^11 - 1272401082173274387/6343874115477823*c_0101_5^10 + 7589900778565610/6343874115477823*c_0101_5^9 + 3288893377211530487/6343874115477823*c_0101_5^8 - 428949906514237574/6343874115477823*c_0101_5^7 - 2095163456230196976/6343874115477823*c_0101_5^6 - 846586904971709582/6343874115477823*c_0101_5^5 + 560694044984593270/6343874115477823*c_0101_5^4 + 285085277481881362/6343874115477823*c_0101_5^3 + 102135096068312739/6343874115477823*c_0101_5^2 - 197320939047757425/6343874115477823*c_0101_5 + 30256480988535704/6343874115477823, c_0101_1 - 11571013877109929/6343874115477823*c_0101_5^14 - 25526536824936017/6343874115477823*c_0101_5^13 + 387542741126477309/6343874115477823*c_0101_5^12 + 482835468939527213/6343874115477823*c_0101_5^11 - 3804876299528422924/6343874115477823*c_0101_5^10 - 982065023930380269/6343874115477823*c_0101_5^9 + 9136453386388437871/6343874115477823*c_0101_5^8 + 54390568557257742/6343874115477823*c_0101_5^7 - 5123531344300448252/6343874115477823*c_0101_5^6 - 2452918410979576789/6343874115477823*c_0101_5^5 + 1312596014766085873/6343874115477823*c_0101_5^4 + 742279773237159279/6343874115477823*c_0101_5^3 + 326045391022303955/6343874115477823*c_0101_5^2 - 546869490505413704/6343874115477823*c_0101_5 + 72241091030279996/6343874115477823, c_0101_5^15 + 2*c_0101_5^14 - 34*c_0101_5^13 - 35*c_0101_5^12 + 339*c_0101_5^11 + 21*c_0101_5^10 - 820*c_0101_5^9 + 140*c_0101_5^8 + 464*c_0101_5^7 + 141*c_0101_5^6 - 156*c_0101_5^5 - 49*c_0101_5^4 - 17*c_0101_5^3 + 53*c_0101_5^2 - 14*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB