Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 122067941] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0528 geometric_solution 4.54179847 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 1 0 1 0 0 -1 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 1 0 -1 -1 0 1 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 0.208588525554 0.454689138267 2 3 3 0 1023 0132 3201 0132 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 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 0.415327643350 0.514504833095 4 1 0 5 0132 1023 0132 0132 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 -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 0.415327643350 0.514504833095 1 1 4 6 2310 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.280842292374 2.292430787186 2 5 6 3 0132 2310 3012 1302 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 0 0 0 1.498090472003 0.504630156070 6 6 2 4 3012 1023 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 1.830280932800 0.913707055746 5 4 3 5 1023 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.339218316777 0.130085375850 ==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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_5'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_0'], '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_5, c_0101_0, c_0101_3, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2824932962487205/243444503884751*c_0110_5^13 - 496128165209173/18726500298827*c_0110_5^12 - 24398914866212208/243444503884751*c_0110_5^11 - 4193983560979818/243444503884751*c_0110_5^10 + 252955321373650420/243444503884751*c_0110_5^9 - 271585153246342210/243444503884751*c_0110_5^8 + 8471743414937821/18726500298827*c_0110_5^7 + 102223377559484013/243444503884751*c_0110_5^6 - 81486035359664629/243444503884751*c_0110_5^5 + 114069824921803469/243444503884751*c_0110_5^4 - 141535379306541526/243444503884751*c_0110_5^3 - 6845460362612281/18726500298827*c_0110_5^2 + 29892446948355304/243444503884751*c_0110_5 + 17445282384360546/243444503884751, c_0011_0 - 1, c_0011_1 - 26308442087810/243444503884751*c_0110_5^13 - 2179522486671/18726500298827*c_0110_5^12 - 174884421107271/243444503884751*c_0110_5^11 + 197819926992060/243444503884751*c_0110_5^10 + 2240759984286560/243444503884751*c_0110_5^9 - 5344762410557597/243444503884751*c_0110_5^8 + 447016467315539/18726500298827*c_0110_5^7 - 3026605971638879/243444503884751*c_0110_5^6 + 414239680945575/243444503884751*c_0110_5^5 + 1589937799932016/243444503884751*c_0110_5^4 - 2808397017582465/243444503884751*c_0110_5^3 + 125102306266875/18726500298827*c_0110_5^2 + 154655047168707/243444503884751*c_0110_5 - 249896796496093/243444503884751, c_0011_5 - 1815829828853/18726500298827*c_0110_5^13 - 3152000200777/18726500298827*c_0110_5^12 - 13072564634947/18726500298827*c_0110_5^11 + 6757363414747/18726500298827*c_0110_5^10 + 167484167205449/18726500298827*c_0110_5^9 - 261643274531611/18726500298827*c_0110_5^8 + 138158569464343/18726500298827*c_0110_5^7 + 52613986539077/18726500298827*c_0110_5^6 - 115983311363726/18726500298827*c_0110_5^5 + 106490806294012/18726500298827*c_0110_5^4 - 129247464607413/18726500298827*c_0110_5^3 - 36230839127823/18726500298827*c_0110_5^2 + 73485345685565/18726500298827*c_0110_5 + 154769543465/18726500298827, c_0101_0 - 677304073808/243444503884751*c_0110_5^13 + 414837462684/18726500298827*c_0110_5^12 - 1568144649939/243444503884751*c_0110_5^11 + 39154079224629/243444503884751*c_0110_5^10 - 15853255738250/243444503884751*c_0110_5^9 - 647185886307794/243444503884751*c_0110_5^8 + 133108074482370/18726500298827*c_0110_5^7 - 1913783210675686/243444503884751*c_0110_5^6 + 1022799815484442/243444503884751*c_0110_5^5 - 128181547420481/243444503884751*c_0110_5^4 - 445973341241396/243444503884751*c_0110_5^3 + 44058596713587/18726500298827*c_0110_5^2 - 573870486977202/243444503884751*c_0110_5 - 28320446152855/243444503884751, c_0101_3 - 7428119616920/243444503884751*c_0110_5^13 + 1105275992949/18726500298827*c_0110_5^12 - 3387031440172/243444503884751*c_0110_5^11 + 241845664270660/243444503884751*c_0110_5^10 + 633114888555599/243444503884751*c_0110_5^9 - 3475669667310254/243444503884751*c_0110_5^8 + 328544564405345/18726500298827*c_0110_5^7 - 2574205954202897/243444503884751*c_0110_5^6 - 158045401644320/243444503884751*c_0110_5^5 + 875825925215172/243444503884751*c_0110_5^4 - 1829843064112134/243444503884751*c_0110_5^3 + 142635939524296/18726500298827*c_0110_5^2 + 288923119236764/243444503884751*c_0110_5 - 248067377036974/243444503884751, c_0101_4 - 7428119616920/243444503884751*c_0110_5^13 + 1105275992949/18726500298827*c_0110_5^12 - 3387031440172/243444503884751*c_0110_5^11 + 241845664270660/243444503884751*c_0110_5^10 + 633114888555599/243444503884751*c_0110_5^9 - 3475669667310254/243444503884751*c_0110_5^8 + 328544564405345/18726500298827*c_0110_5^7 - 2574205954202897/243444503884751*c_0110_5^6 - 158045401644320/243444503884751*c_0110_5^5 + 875825925215172/243444503884751*c_0110_5^4 - 1829843064112134/243444503884751*c_0110_5^3 + 142635939524296/18726500298827*c_0110_5^2 + 288923119236764/243444503884751*c_0110_5 - 248067377036974/243444503884751, c_0110_5^14 + 2*c_0110_5^13 + 8*c_0110_5^12 - c_0110_5^11 - 90*c_0110_5^10 + 121*c_0110_5^9 - 67*c_0110_5^8 - 19*c_0110_5^7 + 31*c_0110_5^6 - 42*c_0110_5^5 + 59*c_0110_5^4 + 19*c_0110_5^3 - 19*c_0110_5^2 - 5*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB