Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 2715827620] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s465 geometric_solution 4.81661449 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0 0 0 0 0 0.301105634334 0.997913872066 0 1 1 0 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.390539972954 0.515681124119 3 4 3 0 1023 0132 1230 0132 0 0 0 0 0 0 -1 1 -1 0 0 1 0 -1 0 1 0 1 -1 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 0.399458219660 1.176889917488 4 2 0 2 3201 1023 0132 3012 0 0 0 0 0 1 -2 1 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 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 0.399458219660 1.176889917488 5 2 5 3 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.102135833111 1.447908179531 4 4 5 5 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267638125129 0.150968690737 ==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_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_4'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0101_0, c_0101_1, c_0101_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 721423759996487047509729/71622728940211106243*c_0110_3^16 - 334024541176919124809772/71622728940211106243*c_0110_3^15 + 2277882245350257520910823/71622728940211106243*c_0110_3^14 - 2479880258618279556668010/71622728940211106243*c_0110_3^13 - 838854130136029063351199/71622728940211106243*c_0110_3^12 + 13207685245544026552381799/71622728940211106243*c_0110_3^11 - 9947954027503648566512482/71622728940211106243*c_0110_3^10 - 11695108675760601069649270/71622728940211106243*c_0110_3^9 + 12418883603998752105187772/71622728940211106243*c_0110_3^8 - 2234310952477376709644340/71622728940211106243*c_0110_3^7 - 693515826933521834251939/71622728940211106243*c_0110_3^6 + 3403779469333528450799849/71622728940211106243*c_0110_3^5 - 2567372904679335853413912/71622728940211106243*c_0110_3^4 - 194535778284694817354898/71622728940211106243*c_0110_3^3 + 410890288258800650034158/71622728940211106243*c_0110_3^2 - 9700125246601580916484/71622728940211106243*c_0110_3 - 14089727347726005266418/71622728940211106243, c_0011_0 - 1, c_0011_2 + 1223174658563946415773/71622728940211106243*c_0110_3^16 + 1177517748119796778806/71622728940211106243*c_0110_3^15 - 3435756763577108864328/71622728940211106243*c_0110_3^14 + 2462607762437587295880/71622728940211106243*c_0110_3^13 + 3268347375420493768644/71622728940211106243*c_0110_3^12 - 21259829798138704345682/71622728940211106243*c_0110_3^11 + 6216286141670585728285/71622728940211106243*c_0110_3^10 + 25955932614818475854606/71622728940211106243*c_0110_3^9 - 10752280151274294770535/71622728940211106243*c_0110_3^8 - 4563524494296456432607/71622728940211106243*c_0110_3^7 + 937599227589374044279/71622728940211106243*c_0110_3^6 - 5351071646816580624054/71622728940211106243*c_0110_3^5 + 2364519285007689205969/71622728940211106243*c_0110_3^4 + 1929824437346144945620/71622728940211106243*c_0110_3^3 - 43540626589870091868/71622728940211106243*c_0110_3^2 - 143280724986814773217/71622728940211106243*c_0110_3 - 60812789888739058313/71622728940211106243, c_0101_0 + 230935156125512067/4850188185834029*c_0110_3^16 + 216185789382745005/4850188185834029*c_0110_3^15 - 632894118770307465/4850188185834029*c_0110_3^14 + 499877725778680809/4850188185834029*c_0110_3^13 + 532153801253630971/4850188185834029*c_0110_3^12 - 4019065827014866149/4850188185834029*c_0110_3^11 + 1293906241891220693/4850188185834029*c_0110_3^10 + 4487597763733957997/4850188185834029*c_0110_3^9 - 2079960084610126311/4850188185834029*c_0110_3^8 - 322837978215236597/4850188185834029*c_0110_3^7 + 340086082919220128/4850188185834029*c_0110_3^6 - 1034523327445869707/4850188185834029*c_0110_3^5 + 317669447184867491/4850188185834029*c_0110_3^4 + 264341938964753672/4850188185834029*c_0110_3^3 - 81747377000729915/4850188185834029*c_0110_3^2 - 16949433649586263/4850188185834029*c_0110_3 + 7366569062974720/4850188185834029, c_0101_1 - 9336569503197295105119/71622728940211106243*c_0110_3^16 - 8073116468522948650023/71622728940211106243*c_0110_3^15 + 27098231332273822599966/71622728940211106243*c_0110_3^14 - 20955533191924504458639/71622728940211106243*c_0110_3^13 - 21908837447269942731457/71622728940211106243*c_0110_3^12 + 165739306132309361596489/71622728940211106243*c_0110_3^11 - 61924989209672430095934/71622728940211106243*c_0110_3^10 - 191801490223114753032323/71622728940211106243*c_0110_3^9 + 98521009774611313904508/71622728940211106243*c_0110_3^8 + 20306214295690505623652/71622728940211106243*c_0110_3^7 - 17721654514527821223631/71622728940211106243*c_0110_3^6 + 43728688468435718923710/71622728940211106243*c_0110_3^5 - 16070364521808150187580/71622728940211106243*c_0110_3^4 - 12595032266560350228629/71622728940211106243*c_0110_3^3 + 4037499096561903124532/71622728940211106243*c_0110_3^2 + 893892426732789980300/71622728940211106243*c_0110_3 - 206278693121513337551/71622728940211106243, c_0101_4 - 15962308005332901201381/71622728940211106243*c_0110_3^16 - 8312492070234638218890/71622728940211106243*c_0110_3^15 + 52308355877105472895662/71622728940211106243*c_0110_3^14 - 49797688499730286650453/71622728940211106243*c_0110_3^13 - 27547558489100986891885/71622728940211106243*c_0110_3^12 + 297201742377795246489969/71622728940211106243*c_0110_3^11 - 198840918211228010466935/71622728940211106243*c_0110_3^10 - 311077110129114275789948/71622728940211106243*c_0110_3^9 + 275192439020818777915682/71622728940211106243*c_0110_3^8 + 2449557647506215864957/71622728940211106243*c_0110_3^7 - 41026875925938851549717/71622728940211106243*c_0110_3^6 + 79833081991440709458286/71622728940211106243*c_0110_3^5 - 51015472994098297247943/71622728940211106243*c_0110_3^4 - 17325350316901452333234/71622728940211106243*c_0110_3^3 + 13539489800921481415749/71622728940211106243*c_0110_3^2 + 825561772725706107734/71622728940211106243*c_0110_3 - 748837542568032394810/71622728940211106243, c_0110_3^17 + 1/3*c_0110_3^16 - 10/3*c_0110_3^15 + 103/27*c_0110_3^14 + 88/81*c_0110_3^13 - 511/27*c_0110_3^12 + 1306/81*c_0110_3^11 + 1340/81*c_0110_3^10 - 1726/81*c_0110_3^9 + 313/81*c_0110_3^8 + 226/81*c_0110_3^7 - 458/81*c_0110_3^6 + 344/81*c_0110_3^5 + 1/3*c_0110_3^4 - 10/9*c_0110_3^3 + 13/81*c_0110_3^2 + 5/81*c_0110_3 - 1/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB