Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 2968595542] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1876 geometric_solution 5.50461563 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -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 0.397853292309 0.246192301073 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784617585183 0.878497843731 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.075320468573 0.948715364570 2 5 4 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 -0.075320468573 0.948715364570 3 2 4 4 2310 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.249815722905 1.153718178124 6 3 6 2 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.376090728151 1.505117363726 5 5 6 6 0132 3201 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433787036238 0.149198496966 ==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_0101_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], '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_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 25369050128581709078185037/1339292402232706835515746*c_0101_5^26 + 36548787084196499132942606/74405133457372601973097*c_0101_5^24 - 3643489866137970776221855459/669646201116353417757873*c_0101_5^22 + 22368053777782692844088603570/669646201116353417757873*c_0101_5^20 - 83668372138573457244148303268/669646201116353417757873*c_0101_5^18 + 405056566878265861044855863917/1339292402232706835515746*c_0101_5^1\ 6 - 677813178565561766627541374315/1339292402232706835515746*c_0101\ _5^14 + 791154239651947294583740648841/1339292402232706835515746*c_\ 0101_5^12 - 36553881242936135944270666140/74405133457372601973097*c\ _0101_5^10 + 350616405023495772369955231285/13392924022327068355157\ 46*c_0101_5^8 - 79379881412305034248733326975/133929240223270683551\ 5746*c_0101_5^6 + 1933857479697731294616013801/13392924022327068355\ 15746*c_0101_5^4 - 50180799115370858484321734/669646201116353417757\ 873*c_0101_5^2 + 295425893834564261447720437/1339292402232706835515\ 746, c_0011_0 - 1, c_0011_1 + 14631875517129256606655/74405133457372601973097*c_0101_5^26 - 375533995776683493901756/74405133457372601973097*c_0101_5^24 + 4103043417811318430815793/74405133457372601973097*c_0101_5^22 - 24717566937961768143836899/74405133457372601973097*c_0101_5^20 + 90030584055282255018986630/74405133457372601973097*c_0101_5^18 - 210273259253496367753003303/74405133457372601973097*c_0101_5^16 + 337272828371720836293166328/74405133457372601973097*c_0101_5^14 - 371984570605503300853445750/74405133457372601973097*c_0101_5^12 + 289298668157214913433948555/74405133457372601973097*c_0101_5^10 - 134967313996483553265026634/74405133457372601973097*c_0101_5^8 + 17442521590424680930399730/74405133457372601973097*c_0101_5^6 + 113395410098019313026596/74405133457372601973097*c_0101_5^4 + 465121754724870109730075/74405133457372601973097*c_0101_5^2 + 7183794155947815061201/74405133457372601973097, c_0011_3 - 39145587150422883155997/74405133457372601973097*c_0101_5^27 + 1006989568504827206328175/74405133457372601973097*c_0101_5^25 - 11035236304005927430797948/74405133457372601973097*c_0101_5^23 + 66749793706258629078658278/74405133457372601973097*c_0101_5^21 - 244491976581219793696278938/74405133457372601973097*c_0101_5^19 + 575154931278407231205912963/74405133457372601973097*c_0101_5^17 - 929705213474013147624524857/74405133457372601973097*c_0101_5^15 + 1034890286197186369392070237/74405133457372601973097*c_0101_5^13 - 810949305783400047828444759/74405133457372601973097*c_0101_5^11 + 382742270126932210629775801/74405133457372601973097*c_0101_5^9 - 49426790767599884971925507/74405133457372601973097*c_0101_5^7 - 5931227917134941702698450/74405133457372601973097*c_0101_5^5 - 273221202997175936950365/74405133457372601973097*c_0101_5^3 + 173530001434565635087724/74405133457372601973097*c_0101_5, c_0101_0 + 23327459235622465334043/74405133457372601973097*c_0101_5^27 - 600784094901457542596971/74405133457372601973097*c_0101_5^25 + 6594276127511534600519047/74405133457372601973097*c_0101_5^23 - 39978315977580856382859274/74405133457372601973097*c_0101_5^21 + 146924863685304080384770971/74405133457372601973097*c_0101_5^19 - 347298484529428238394121949/74405133457372601973097*c_0101_5^17 + 564887277232527740078988882/74405133457372601973097*c_0101_5^15 - 634457970125505538594451309/74405133457372601973097*c_0101_5^13 + 503198101830770755359510984/74405133457372601973097*c_0101_5^11 - 243658610682249591774369643/74405133457372601973097*c_0101_5^9 + 36744220231708291811884133/74405133457372601973097*c_0101_5^7 + 2831059662943009648888022/74405133457372601973097*c_0101_5^5 - 176010682618632058393643/74405133457372601973097*c_0101_5^3 - 150571367481591520225598/74405133457372601973097*c_0101_5, c_0101_1 - 11516035974619007751110/74405133457372601973097*c_0101_5^26 + 296052041075290866610850/74405133457372601973097*c_0101_5^24 - 3241751365862495530150898/74405133457372601973097*c_0101_5^22 + 19589017758453728663220134/74405133457372601973097*c_0101_5^20 - 71664279279611349434133512/74405133457372601973097*c_0101_5^18 + 168391078862216310989187801/74405133457372601973097*c_0101_5^16 - 272096945382263074972193500/74405133457372601973097*c_0101_5^14 + 303237025564715166850398549/74405133457372601973097*c_0101_5^12 - 239001769490824663804623542/74405133457372601973097*c_0101_5^10 + 114932890683809271622395919/74405133457372601973097*c_0101_5^8 - 17792479419884245761106289/74405133457372601973097*c_0101_5^6 + 569580643335122622265992/74405133457372601973097*c_0101_5^4 - 523472505781332986444522/74405133457372601973097*c_0101_5^2 + 29061422836380770022964/74405133457372601973097, c_0101_4 - 43344946207297179532972/74405133457372601973097*c_0101_5^27 + 1114656986054724511247637/74405133457372601973097*c_0101_5^25 - 12209970631966419732598846/74405133457372601973097*c_0101_5^23 + 73812978952750418115433602/74405133457372601973097*c_0101_5^21 - 270149333028898835673250131/74405133457372601973097*c_0101_5^19 + 634874725129489411974849380/74405133457372601973097*c_0101_5^17 - 1025199358445866482094259326/74405133457372601973097*c_0101_5^15 + 1140083410933491436406577417/74405133457372601973097*c_0101_5^13 - 893365703160352676565622044/74405133457372601973097*c_0101_5^11 + 422649014361708338283305899/74405133457372601973097*c_0101_5^9 - 56904210151627334414093534/74405133457372601973097*c_0101_5^7 - 3609196415320707363482891/74405133457372601973097*c_0101_5^5 - 1492964266958298051710959/74405133457372601973097*c_0101_5^3 + 301386284082983521082778/74405133457372601973097*c_0101_5, c_0101_5^28 - 26*c_0101_5^26 + 289*c_0101_5^24 - 1783*c_0101_5^22 + 6717*c_0101_5^20 - 16422*c_0101_5^18 + 27830*c_0101_5^16 - 33063*c_0101_5^14 + 28151*c_0101_5^12 - 15683*c_0101_5^10 + 4143*c_0101_5^8 - 318*c_0101_5^6 + 12*c_0101_5^4 - 12*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB