Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 3018993523] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0415 geometric_solution 4.47552902 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 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 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 -0.692055727925 0.047977898212 0 0 2 2 0132 2310 2310 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 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.058073764696 0.286736786843 3 1 1 3 0132 3201 0132 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 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 1.516085052356 0.620003875283 2 4 5 2 0132 0132 0132 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 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071116778536 0.355143667888 5 3 5 6 2310 0132 2103 0132 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 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300363861092 1.130094515278 4 6 4 3 2103 2310 3201 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 0 0 0 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 0.300363861092 1.130094515278 6 6 4 5 1230 3012 0132 3201 0 0 0 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780328517610 0.826496025554 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 500777252513310466/301062341659321007*c_0101_4^13 - 84890597112482519/301062341659321007*c_0101_4^12 + 13534824001250735588/301062341659321007*c_0101_4^11 + 60548891875935673220/301062341659321007*c_0101_4^10 + 68430656233382692235/301062341659321007*c_0101_4^9 - 343006287237469393257/301062341659321007*c_0101_4^8 + 669030603410857297754/301062341659321007*c_0101_4^7 + 300774159979586426809/301062341659321007*c_0101_4^6 - 751119874061281292354/301062341659321007*c_0101_4^5 - 1404988529848393188326/301062341659321007*c_0101_4^4 - 201661878243966795962/301062341659321007*c_0101_4^3 + 436721490468389320419/301062341659321007*c_0101_4^2 + 46724965441146706968/301062341659321007*c_0101_4 + 3590994022482658025/301062341659321007, c_0011_0 - 1, c_0011_2 - 58531462290720116/301062341659321007*c_0101_4^13 - 392256980292495251/301062341659321007*c_0101_4^12 - 1058883249657385458/301062341659321007*c_0101_4^11 - 363420682483598960/301062341659321007*c_0101_4^10 + 4225584401764025442/301062341659321007*c_0101_4^9 - 12891389034708667279/301062341659321007*c_0101_4^8 - 185149636226959184/301062341659321007*c_0101_4^7 + 16668803766017229646/301062341659321007*c_0101_4^6 + 21390249730806139356/301062341659321007*c_0101_4^5 - 2087130623808508147/301062341659321007*c_0101_4^4 - 7027702109951171395/301062341659321007*c_0101_4^3 + 1145820922783507154/301062341659321007*c_0101_4^2 + 469204530648950468/301062341659321007*c_0101_4 - 113539449798945770/301062341659321007, c_0011_5 + 100272970616292631/301062341659321007*c_0101_1*c_0101_4^13 + 681727790682404187/301062341659321007*c_0101_1*c_0101_4^12 + 1869528261106438571/301062341659321007*c_0101_1*c_0101_4^11 + 738945668563375090/301062341659321007*c_0101_1*c_0101_4^10 - 7321534406282562515/301062341659321007*c_0101_1*c_0101_4^9 + 21396145791785007548/301062341659321007*c_0101_1*c_0101_4^8 + 3129355927216580081/301062341659321007*c_0101_1*c_0101_4^7 - 31095755129186495423/301062341659321007*c_0101_1*c_0101_4^6 - 38004815745049220754/301062341659321007*c_0101_1*c_0101_4^5 + 2048978985731901997/301062341659321007*c_0101_1*c_0101_4^4 + 14004988251170900010/301062341659321007*c_0101_1*c_0101_4^3 - 1774814299518704752/301062341659321007*c_0101_1*c_0101_4^2 - 1042367563020850820/301062341659321007*c_0101_1*c_0101_4 + 569553008471946662/301062341659321007*c_0101_1, c_0011_6 - 126837462206358647/301062341659321007*c_0101_1*c_0101_4^13 - 856912170604615188/301062341659321007*c_0101_1*c_0101_4^12 - 2331770269596398482/301062341659321007*c_0101_1*c_0101_4^11 - 854170564113697521/301062341659321007*c_0101_1*c_0101_4^10 + 9263606547611732055/301062341659321007*c_0101_1*c_0101_4^9 - 27410364280393165527/301062341659321007*c_0101_1*c_0101_4^8 - 2549323339749412657/301062341659321007*c_0101_1*c_0101_4^7 + 38258078714192104555/301062341659321007*c_0101_1*c_0101_4^6 + 47665935305475607355/301062341659321007*c_0101_1*c_0101_4^5 - 3929578251069919478/301062341659321007*c_0101_1*c_0101_4^4 - 18385754827795347751/301062341659321007*c_0101_1*c_0101_4^3 + 2521706552236561031/301062341659321007*c_0101_1*c_0101_4^2 + 1333477745029920844/301062341659321007*c_0101_1*c_0101_4 - 591099989706523434/301062341659321007*c_0101_1, c_0101_0 + 41741508325572515/301062341659321007*c_0101_1*c_0101_4^13 + 289470810389908936/301062341659321007*c_0101_1*c_0101_4^12 + 810645011449053113/301062341659321007*c_0101_1*c_0101_4^11 + 375524986079776130/301062341659321007*c_0101_1*c_0101_4^10 - 3095950004518537073/301062341659321007*c_0101_1*c_0101_4^9 + 8504756757076340269/301062341659321007*c_0101_1*c_0101_4^8 + 2944206290989620897/301062341659321007*c_0101_1*c_0101_4^7 - 14426951363169265777/301062341659321007*c_0101_1*c_0101_4^6 - 16614566014243081398/301062341659321007*c_0101_1*c_0101_4^5 - 38151638076606150/301062341659321007*c_0101_1*c_0101_4^4 + 6977286141219728615/301062341659321007*c_0101_1*c_0101_4^3 - 628993376735197598/301062341659321007*c_0101_1*c_0101_4^2 - 573163032371900352/301062341659321007*c_0101_1*c_0101_4 + 456013558673000892/301062341659321007*c_0101_1, c_0101_1^2 + 48325105580613019/602124683318642014*c_0101_4^13 + 170336478654835245/301062341659321007*c_0101_4^12 + 489701746577130606/301062341659321007*c_0101_4^11 + 559243991556649991/602124683318642014*c_0101_4^10 - 3486959766622375839/602124683318642014*c_0101_4^9 + 9464007850558052157/602124683318642014*c_0101_4^8 + 2197193281809866955/301062341659321007*c_0101_4^7 - 7874623513857449719/301062341659321007*c_0101_4^6 - 10539261123124813255/301062341659321007*c_0101_4^5 - 3044883898977817265/602124683318642014*c_0101_4^4 + 4109254882644931313/301062341659321007*c_0101_4^3 - 418900578892702354/301062341659321007*c_0101_4^2 - 395851934049963202/301062341659321007*c_0101_4 - 200767667899675155/602124683318642014, c_0101_4^14 + 7*c_0101_4^13 + 20*c_0101_4^12 + 11*c_0101_4^11 - 72*c_0101_4^10 + 198*c_0101_4^9 + 75*c_0101_4^8 - 304*c_0101_4^7 - 450*c_0101_4^6 - 51*c_0101_4^5 + 161*c_0101_4^4 + 16*c_0101_4^3 - 14*c_0101_4^2 + 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB