Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 4122241493] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s271 geometric_solution 4.44001932 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.834108500491 0.567660251868 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485932640742 0.734505772920 4 1 3 3 0132 0132 1302 2031 0 0 0 0 0 0 0 0 0 0 1 -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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411532040871 0.416634354168 2 2 4 1 2031 1302 0132 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411532040871 0.416634354168 2 5 5 3 0132 0132 1023 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745361692579 0.818105086440 5 4 4 5 3012 0132 1023 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 1.763432297512 0.437443654481 ==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_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' : negation(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' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 6980249165485/299776627321*c_0101_5^14 + 12131157189606/299776627321*c_0101_5^13 + 38095537762549/299776627321*c_0101_5^12 - 192485792117962/299776627321*c_0101_5^11 - 15599636632188/299776627321*c_0101_5^10 + 666538117196600/299776627321*c_0101_5^9 - 356270164519258/299776627321*c_0101_5^8 - 702186134202498/299776627321*c_0101_5^7 + 286418102981034/299776627321*c_0101_5^6 + 249848396692643/299776627321*c_0101_5^5 + 313884768726000/299776627321*c_0101_5^4 - 174405286346301/299776627321*c_0101_5^3 + 1851692703765/299776627321*c_0101_5^2 + 86304570373363/299776627321*c_0101_5 - 26994614846908/299776627321, c_0011_0 - 1, c_0011_1 + 201618085495/299776627321*c_0101_5^14 - 302299595380/299776627321*c_0101_5^13 - 1163253212089/299776627321*c_0101_5^12 + 5268812651767/299776627321*c_0101_5^11 + 1653044062454/299776627321*c_0101_5^10 - 18616649165515/299776627321*c_0101_5^9 + 5940146641523/299776627321*c_0101_5^8 + 20825593103605/299776627321*c_0101_5^7 - 3071901792889/299776627321*c_0101_5^6 - 6820509653681/299776627321*c_0101_5^5 - 10785764097962/299776627321*c_0101_5^4 + 1779669878169/299776627321*c_0101_5^3 - 128257965985/299776627321*c_0101_5^2 - 2219029398872/299776627321*c_0101_5 + 419050534238/299776627321, c_0011_3 + 28562087413/299776627321*c_0101_5^14 - 56213980429/299776627321*c_0101_5^13 - 137603734057/299776627321*c_0101_5^12 + 814572182133/299776627321*c_0101_5^11 - 150663397204/299776627321*c_0101_5^10 - 2584868218474/299776627321*c_0101_5^9 + 2138139278544/299776627321*c_0101_5^8 + 2122923799940/299776627321*c_0101_5^7 - 1730303846440/299776627321*c_0101_5^6 - 643016644088/299776627321*c_0101_5^5 - 757950895424/299776627321*c_0101_5^4 + 1370808871535/299776627321*c_0101_5^3 - 721597611042/299776627321*c_0101_5^2 - 519535770186/299776627321*c_0101_5 + 21469851994/299776627321, c_0101_0 - 925079168824/299776627321*c_0101_5^14 + 1564840970607/299776627321*c_0101_5^13 + 5113932544151/299776627321*c_0101_5^12 - 25262589636305/299776627321*c_0101_5^11 - 3190105208587/299776627321*c_0101_5^10 + 87989501138871/299776627321*c_0101_5^9 - 43240553798906/299776627321*c_0101_5^8 - 94257410738551/299776627321*c_0101_5^7 + 33399880582021/299776627321*c_0101_5^6 + 33453643840914/299776627321*c_0101_5^5 + 43463133061020/299776627321*c_0101_5^4 - 20453767192401/299776627321*c_0101_5^3 - 288559602030/299776627321*c_0101_5^2 + 11081842788311/299776627321*c_0101_5 - 3112591433516/299776627321, c_0101_4 + 207699981213/299776627321*c_0101_5^14 - 322039541667/299776627321*c_0101_5^13 - 1175862221371/299776627321*c_0101_5^12 + 5475182484935/299776627321*c_0101_5^11 + 1388038307648/299776627321*c_0101_5^10 - 19064934837152/299776627321*c_0101_5^9 + 7067902523059/299776627321*c_0101_5^8 + 20394012828922/299776627321*c_0101_5^7 - 3741861618477/299776627321*c_0101_5^6 - 6160111569376/299776627321*c_0101_5^5 - 11336520510061/299776627321*c_0101_5^4 + 2327069586831/299776627321*c_0101_5^3 - 547702983944/299776627321*c_0101_5^2 - 2186348908690/299776627321*c_0101_5 + 463040328962/299776627321, c_0101_5^15 - 2*c_0101_5^14 - 5*c_0101_5^13 + 29*c_0101_5^12 - 5*c_0101_5^11 - 96*c_0101_5^10 + 76*c_0101_5^9 + 87*c_0101_5^8 - 67*c_0101_5^7 - 25*c_0101_5^6 - 36*c_0101_5^5 + 37*c_0101_5^4 - 7*c_0101_5^3 - 12*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