Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 1612840122] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1706 geometric_solution 5.41689644 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 1 -1 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 0.376048235864 0.967428744008 3 2 4 0 0132 3012 0132 0132 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 -1 1 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 1.030739255194 1.129531372874 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 -1 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 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 1.030739255194 1.129531372874 1 5 5 2 0132 0132 1023 3201 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750929498035 0.309448509555 2 6 6 1 3201 0132 3201 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 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 0.020824708834 0.405432433513 5 3 3 5 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044902338260 0.430451140541 4 4 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 2.319882974225 0.931905355971 ==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_0011_1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), '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_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 644241737494849/30115727763495*c_0101_6^11 + 1589550274539811/10038575921165*c_0101_6^10 + 15844712371688908/30115727763495*c_0101_6^9 + 34429460070580199/30115727763495*c_0101_6^8 + 40279196317429987/30115727763495*c_0101_6^7 + 31978700302471397/30115727763495*c_0101_6^6 - 9992705543986313/10038575921165*c_0101_6^5 - 20653133030786757/10038575921165*c_0101_6^4 - 49183679644667996/30115727763495*c_0101_6^3 - 3670896298429244/30115727763495*c_0101_6^2 + 31763621642532502/30115727763495*c_0101_6 + 12605906858183744/30115727763495, c_0011_0 - 1, c_0011_1 + 19702997/313766059*c_0101_6^11 + 5291065/18456827*c_0101_6^10 + 26921691/313766059*c_0101_6^9 - 680134641/313766059*c_0101_6^8 - 3110509229/313766059*c_0101_6^7 - 5928408661/313766059*c_0101_6^6 - 9170108974/313766059*c_0101_6^5 - 5962514761/313766059*c_0101_6^4 + 357928162/313766059*c_0101_6^3 + 5246686569/313766059*c_0101_6^2 + 5247096581/313766059*c_0101_6 + 1474934159/313766059, c_0011_4 + 7874071/18456827*c_0101_6^11 + 63349384/18456827*c_0101_6^10 + 236328715/18456827*c_0101_6^9 + 587138585/18456827*c_0101_6^8 + 919288070/18456827*c_0101_6^7 + 1096930175/18456827*c_0101_6^6 + 498283089/18456827*c_0101_6^5 - 252551703/18456827*c_0101_6^4 - 727439631/18456827*c_0101_6^3 - 565484607/18456827*c_0101_6^2 - 111426346/18456827*c_0101_6 + 2815977/18456827, c_0101_0 - 69384020/313766059*c_0101_6^11 - 31515568/18456827*c_0101_6^10 - 1915426045/313766059*c_0101_6^9 - 4601063832/313766059*c_0101_6^8 - 6773316754/313766059*c_0101_6^7 - 7857759033/313766059*c_0101_6^6 - 2430889421/313766059*c_0101_6^5 + 2248781785/313766059*c_0101_6^4 + 5298310838/313766059*c_0101_6^3 + 3212169393/313766059*c_0101_6^2 + 221837108/313766059*c_0101_6 + 146061734/313766059, c_0101_1 - 37398347/313766059*c_0101_6^11 - 18287734/18456827*c_0101_6^10 - 1179209457/313766059*c_0101_6^9 - 2915863300/313766059*c_0101_6^8 - 4540999577/313766059*c_0101_6^7 - 5113546677/313766059*c_0101_6^6 - 2167302144/313766059*c_0101_6^5 + 2259752980/313766059*c_0101_6^4 + 3771892691/313766059*c_0101_6^3 + 3147381803/313766059*c_0101_6^2 + 460458542/313766059*c_0101_6 - 290711597/313766059, c_0101_5 + 40150142/313766059*c_0101_6^11 + 19850411/18456827*c_0101_6^10 + 1342567226/313766059*c_0101_6^9 + 3595330448/313766059*c_0101_6^8 + 6381430789/313766059*c_0101_6^7 + 8798791429/313766059*c_0101_6^6 + 6871795822/313766059*c_0101_6^5 + 2348542375/313766059*c_0101_6^4 - 3257704060/313766059*c_0101_6^3 - 5012425745/313766059*c_0101_6^2 - 3702917158/313766059*c_0101_6 - 1227402436/313766059, c_0101_6^12 + 8*c_0101_6^11 + 29*c_0101_6^10 + 68*c_0101_6^9 + 94*c_0101_6^8 + 86*c_0101_6^7 - 18*c_0101_6^6 - 125*c_0101_6^5 - 133*c_0101_6^4 - 50*c_0101_6^3 + 47*c_0101_6^2 + 49*c_0101_6 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB