Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 661043800] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3004 geometric_solution 6.18058622 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 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 1 -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 0.935782367179 1.258080849375 0 0 2 3 0132 3120 1023 3201 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 1 -1 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 0.935782367179 1.258080849375 4 5 1 0 0132 0132 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 1 0 -1 -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 -0.009911841825 0.690726326580 4 1 0 5 3120 2310 0132 1302 0 0 0 0 0 0 -1 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 -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 0.748620356165 0.540326914352 2 6 5 3 0132 0132 2031 3120 0 0 0 0 0 -1 0 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 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 0.079244781241 0.564136047764 6 2 3 4 2310 0132 2031 1302 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 -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 0.079244781241 0.564136047764 6 4 5 6 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.283227896267 1.677482866072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0101_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 11/5*c_0101_6 + 29/5, c_0011_0 - 1, c_0011_2 - c_0101_6 - 1, c_0011_3 - c_0101_6 - 1, c_0101_0 + c_0101_1 + c_0101_6 + 1, c_0101_1^2 + c_0101_1*c_0101_6 + c_0101_1 - c_0101_6 + 1, c_0101_2 - 1, c_0101_6^2 + 3*c_0101_6 + 1 ], 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_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 198375067211809/4446906468548*c_0101_6^14 + 750110537271405/4446906468548*c_0101_6^13 - 438200380624669/1111726617137*c_0101_6^12 - 801593798386217/8893812937096*c_0101_6^11 + 3677355579011817/4446906468548*c_0101_6^10 - 7347923535812931/4446906468548*c_0101_6^9 + 25049205008528843/17787625874192*c_0101_6^8 + 21940722140564733/8893812937096*c_0101_6^7 - 1085994516221591/261582733444*c_0101_6^6 - 792330211151523/8893812937096*c_0101_6^5 + 10749596389294577/4446906468548*c_0101_6^4 - 6567749739975577/8893812937096*c_0101_6^3 - 3145574648563253/8893812937096*c_0101_6^2 + 378758729797169/2223453234274*c_0101_6 - 644030618672697/17787625874192, c_0011_0 - 1, c_0011_2 + 217245058181/130791366722*c_0101_6^14 - 396246222648/65395683361*c_0101_6^13 + 896539675477/65395683361*c_0101_6^12 + 1502374325033/261582733444*c_0101_6^11 - 8209497566125/261582733444*c_0101_6^10 + 14912098614771/261582733444*c_0101_6^9 - 22357680671229/523165466888*c_0101_6^8 - 54091826714783/523165466888*c_0101_6^7 + 76390928022283/523165466888*c_0101_6^6 + 15465838534815/523165466888*c_0101_6^5 - 50567006437971/523165466888*c_0101_6^4 + 9548972359593/523165466888*c_0101_6^3 + 9359602255121/523165466888*c_0101_6^2 - 3590610682057/523165466888*c_0101_6 + 411612008957/261582733444, c_0011_3 - 507758436265/65395683361*c_0101_6^14 + 1823756604145/65395683361*c_0101_6^13 - 4130100300217/65395683361*c_0101_6^12 - 3739111214263/130791366722*c_0101_6^11 + 9235420605550/65395683361*c_0101_6^10 - 34483398156661/130791366722*c_0101_6^9 + 50386337832067/261582733444*c_0101_6^8 + 31177898069773/65395683361*c_0101_6^7 - 170020969153433/261582733444*c_0101_6^6 - 17384648164927/130791366722*c_0101_6^5 + 110267249168071/261582733444*c_0101_6^4 - 4934624873179/65395683361*c_0101_6^3 - 19521141193303/261582733444*c_0101_6^2 + 1546755871572/65395683361*c_0101_6 - 429962295819/65395683361, c_0101_0 - 1846221571217/130791366722*c_0101_6^14 + 3361854994804/65395683361*c_0101_6^13 - 7695120641767/65395683361*c_0101_6^12 - 11622160992629/261582733444*c_0101_6^11 + 66490890992057/261582733444*c_0101_6^10 - 127382509948875/261582733444*c_0101_6^9 + 198653428522705/523165466888*c_0101_6^8 + 433129448174315/523165466888*c_0101_6^7 - 624033655920483/523165466888*c_0101_6^6 - 99873129220351/523165466888*c_0101_6^5 + 378853072041055/523165466888*c_0101_6^4 - 65927173851525/523165466888*c_0101_6^3 - 62738768343113/523165466888*c_0101_6^2 + 16394528262073/523165466888*c_0101_6 - 2762738131449/261582733444, c_0101_1 - 1846221571217/130791366722*c_0101_6^14 + 3361854994804/65395683361*c_0101_6^13 - 7695120641767/65395683361*c_0101_6^12 - 11622160992629/261582733444*c_0101_6^11 + 66490890992057/261582733444*c_0101_6^10 - 127382509948875/261582733444*c_0101_6^9 + 198653428522705/523165466888*c_0101_6^8 + 433129448174315/523165466888*c_0101_6^7 - 624033655920483/523165466888*c_0101_6^6 - 99873129220351/523165466888*c_0101_6^5 + 378853072041055/523165466888*c_0101_6^4 - 65927173851525/523165466888*c_0101_6^3 - 62738768343113/523165466888*c_0101_6^2 + 16394528262073/523165466888*c_0101_6 - 2762738131449/261582733444, c_0101_2 + 1228046282761/130791366722*c_0101_6^14 - 2169430354494/65395683361*c_0101_6^13 + 4872027643819/65395683361*c_0101_6^12 + 10115962308373/261582733444*c_0101_6^11 - 43903423682261/261582733444*c_0101_6^10 + 80852473999927/261582733444*c_0101_6^9 - 112915207780633/523165466888*c_0101_6^8 - 306599054649655/523165466888*c_0101_6^7 + 392263321413663/523165466888*c_0101_6^6 + 105712416481231/523165466888*c_0101_6^5 - 256523978626543/523165466888*c_0101_6^4 + 31920123857833/523165466888*c_0101_6^3 + 46507435230989/523165466888*c_0101_6^2 - 11361834931745/523165466888*c_0101_6 + 1915026958473/261582733444, c_0101_6^15 - 3*c_0101_6^14 + 6*c_0101_6^13 + 17/2*c_0101_6^12 - 16*c_0101_6^11 + 23*c_0101_6^10 - 19/4*c_0101_6^9 - 76*c_0101_6^8 + 47*c_0101_6^7 + 135/2*c_0101_6^6 - 43*c_0101_6^5 - 47/2*c_0101_6^4 + 29/2*c_0101_6^3 + 3*c_0101_6^2 - 3/4*c_0101_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB