Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 3819077568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s273 geometric_solution 4.44077602 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 1 0 -1 1 0 0 -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 1 -1 0 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 0.716751344444 1.101175553589 3 0 2 2 0132 0132 2103 3201 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 -1 0 1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716751344444 1.101175553589 1 1 3 0 2103 2310 1023 0132 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 0 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 0.716751344444 1.101175553589 1 4 2 4 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799269930134 0.459343321448 3 3 5 5 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413576270594 0.192699891701 5 4 4 5 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.445397213231 0.320205081954 ==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_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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0011_2']})} 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_0011_5, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 401297978177313887/14752113352638512*c_0101_5^18 + 66939890938906545/3688028338159628*c_0101_5^17 - 8520798091157103839/14752113352638512*c_0101_5^16 + 430769145006816337/14752113352638512*c_0101_5^15 + 71385160278671117593/14752113352638512*c_0101_5^14 - 38333682028744258761/14752113352638512*c_0101_5^13 - 141881982099682389313/7376056676319256*c_0101_5^12 + 232730615697683378309/14752113352638512*c_0101_5^11 + 278102521526488510465/7376056676319256*c_0101_5^10 - 537036945192470725469/14752113352638512*c_0101_5^9 - 554683958332684319169/14752113352638512*c_0101_5^8 + 274918077703789840323/7376056676319256*c_0101_5^7 + 142687975971667225847/7376056676319256*c_0101_5^6 - 247589813112134643157/14752113352638512*c_0101_5^5 - 33376782564443748957/7376056676319256*c_0101_5^4 + 13589210377705460611/3688028338159628*c_0101_5^3 + 9054052867504799597/14752113352638512*c_0101_5^2 - 2399908465280634047/7376056676319256*c_0101_5 - 1017712692007635763/14752113352638512, c_0011_0 - 1, c_0011_2 - 6247571187855872/922007084539907*c_0101_5^18 - 3619728855801671/922007084539907*c_0101_5^17 + 132534070394581921/922007084539907*c_0101_5^16 - 18341463414110300/922007084539907*c_0101_5^15 - 1100417967542656492/922007084539907*c_0101_5^14 + 686591578598174490/922007084539907*c_0101_5^13 + 4283933730321980512/922007084539907*c_0101_5^12 - 3906993644187205501/922007084539907*c_0101_5^11 - 8068322287526345129/922007084539907*c_0101_5^10 + 8642933030770131053/922007084539907*c_0101_5^9 + 7559102159328415354/922007084539907*c_0101_5^8 - 8410847667527171768/922007084539907*c_0101_5^7 - 3657963062444889761/922007084539907*c_0101_5^6 + 3530011261810965258/922007084539907*c_0101_5^5 + 872006458581426176/922007084539907*c_0101_5^4 - 742796220288834299/922007084539907*c_0101_5^3 - 138164861422437778/922007084539907*c_0101_5^2 + 69173890479711342/922007084539907*c_0101_5 + 15863621580999555/922007084539907, c_0011_5 + 1749528814741390/922007084539907*c_0101_5^18 + 798528143678465/922007084539907*c_0101_5^17 - 37191500363168786/922007084539907*c_0101_5^16 + 9706151284562251/922007084539907*c_0101_5^15 + 306495864447043622/922007084539907*c_0101_5^14 - 229586907625304211/922007084539907*c_0101_5^13 - 1167460392574216185/922007084539907*c_0101_5^12 + 1232691169601521881/922007084539907*c_0101_5^11 + 2092476245601562278/922007084539907*c_0101_5^10 - 2652738037801016173/922007084539907*c_0101_5^9 - 1763228691078767939/922007084539907*c_0101_5^8 + 2515556676383333476/922007084539907*c_0101_5^7 + 694637332730546571/922007084539907*c_0101_5^6 - 1012527021148196050/922007084539907*c_0101_5^5 - 116286215412992961/922007084539907*c_0101_5^4 + 192453154744070225/922007084539907*c_0101_5^3 + 17384433076345454/922007084539907*c_0101_5^2 - 16747788656590308/922007084539907*c_0101_5 - 3509430979413989/922007084539907, c_0101_1 + 321791758775035/922007084539907*c_0101_5^18 + 2253485588009/922007084539907*c_0101_5^17 - 6842676644281897/922007084539907*c_0101_5^16 + 4838478264030779/922007084539907*c_0101_5^15 + 54207719611447736/922007084539907*c_0101_5^14 - 66150734401297644/922007084539907*c_0101_5^13 - 185242760885873004/922007084539907*c_0101_5^12 + 306552057002292040/922007084539907*c_0101_5^11 + 250136472930960799/922007084539907*c_0101_5^10 - 588124600234898762/922007084539907*c_0101_5^9 - 74091174599854722/922007084539907*c_0101_5^8 + 476916747262889791/922007084539907*c_0101_5^7 - 59428990815528963/922007084539907*c_0101_5^6 - 149129589492684254/922007084539907*c_0101_5^5 + 24339063784004667/922007084539907*c_0101_5^4 + 26299077871638869/922007084539907*c_0101_5^3 - 2679913724814552/922007084539907*c_0101_5^2 - 4411126500748666/922007084539907*c_0101_5 - 36020574732953/922007084539907, c_0101_3 + 2587423894874082/922007084539907*c_0101_5^18 + 837895080132692/922007084539907*c_0101_5^17 - 55134429936034187/922007084539907*c_0101_5^16 + 21666956993924294/922007084539907*c_0101_5^15 + 450855302003024345/922007084539907*c_0101_5^14 - 399643124662510574/922007084539907*c_0101_5^13 - 1677344502896894223/922007084539907*c_0101_5^12 + 2049771940726278147/922007084539907*c_0101_5^11 + 2837326617035409105/922007084539907*c_0101_5^10 - 4320248219088146880/922007084539907*c_0101_5^9 - 2061548298659561231/922007084539907*c_0101_5^8 + 4037574294673086017/922007084539907*c_0101_5^7 + 516904128409090628/922007084539907*c_0101_5^6 - 1607997967621097517/922007084539907*c_0101_5^5 + 26718517201170808/922007084539907*c_0101_5^4 + 297405888054178701/922007084539907*c_0101_5^3 - 8746058208010403/922007084539907*c_0101_5^2 - 24224697676427793/922007084539907*c_0101_5 - 1364178607528266/922007084539907, c_0101_5^19 + c_0101_5^18 - 21*c_0101_5^17 - 6*c_0101_5^16 + 178*c_0101_5^15 - 36*c_0101_5^14 - 737*c_0101_5^13 + 341*c_0101_5^12 + 1573*c_0101_5^11 - 861*c_0101_5^10 - 1822*c_0101_5^9 + 879*c_0101_5^8 + 1172*c_0101_5^7 - 353*c_0101_5^6 - 381*c_0101_5^5 + 70*c_0101_5^4 + 71*c_0101_5^3 - 3*c_0101_5^2 - 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB