Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 2581071177] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1413 geometric_solution 5.25138604 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 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 0 0 0 0 0 0 0.537567556093 0.294685228524 2 0 3 0 0132 2310 0132 0132 0 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 -1 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 1.032040120046 0.489431082176 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 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 0.953695420300 0.781732410961 5 2 4 1 0132 1230 1023 0132 0 0 0 0 0 -1 0 1 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 -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 0.953695420300 0.781732410961 4 2 3 4 3201 0132 1023 2310 0 0 0 0 0 1 0 -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 -0.171800051968 0.890342423932 3 6 2 6 0132 0132 0132 2310 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 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 1.763194373998 0.305921749401 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 -1 0 0 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 0.541040968410 0.411086965265 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0101_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_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' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], '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_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_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 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_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 16760516462498/205171767845*c_0110_6^8 + 1289063637368673/2051717678450*c_0110_6^7 + 6045924436628987/2051717678450*c_0110_6^6 + 1637748481381447/186519788950*c_0110_6^5 + 15528962783789676/1025858839225*c_0110_6^4 + 6786436046705449/410343535690*c_0110_6^3 + 11664168165300333/2051717678450*c_0110_6^2 + 21909233479411/410343535690*c_0110_6 - 42668760934193/2051717678450, c_0011_0 - 1, c_0011_1 - 24124225/339126889*c_0110_6^8 - 1832177935/3730395779*c_0110_6^7 - 8104528385/3730395779*c_0110_6^6 - 21958267646/3730395779*c_0110_6^5 - 30858943611/3730395779*c_0110_6^4 - 26395650016/3730395779*c_0110_6^3 + 7722260148/3730395779*c_0110_6^2 - 1602559679/3730395779*c_0110_6 - 782769963/3730395779, c_0011_3 + 19909352000/41034353569*c_0101_3*c_0110_6^8 + 152574581370/41034353569*c_0101_3*c_0110_6^7 + 714702984167/41034353569*c_0101_3*c_0110_6^6 + 193178305248/3730395779*c_0101_3*c_0110_6^5 + 3651464625703/41034353569*c_0101_3*c_0110_6^4 + 3982852843319/41034353569*c_0101_3*c_0110_6^3 + 1347087878490/41034353569*c_0101_3*c_0110_6^2 + 35268224714/41034353569*c_0101_3*c_0110_6 - 18301188704/41034353569*c_0101_3, c_0101_0 - 4380202980/41034353569*c_0110_6^8 - 32928132943/41034353569*c_0110_6^7 - 153433214964/41034353569*c_0110_6^6 - 41171321398/3730395779*c_0110_6^5 - 772464428817/41034353569*c_0110_6^4 - 865762298234/41034353569*c_0110_6^3 - 322007992968/41034353569*c_0110_6^2 - 89506244792/41034353569*c_0110_6 + 21593571182/41034353569, c_0101_1 - 1263506170/41034353569*c_0110_6^8 - 9911923367/41034353569*c_0110_6^7 - 46425008928/41034353569*c_0110_6^6 - 12677721173/3730395779*c_0110_6^5 - 239894667319/41034353569*c_0110_6^4 - 260037259290/41034353569*c_0110_6^3 - 94996280714/41034353569*c_0110_6^2 + 27480579073/41034353569*c_0110_6 - 19909352000/41034353569, c_0101_3^2 + 2245906935/41034353569*c_0110_6^8 + 15881385581/41034353569*c_0110_6^7 + 71559854959/41034353569*c_0110_6^6 + 18091275270/3730395779*c_0110_6^5 + 300920573185/41034353569*c_0110_6^4 + 288199126649/41034353569*c_0110_6^3 - 27336497523/41034353569*c_0110_6^2 + 6039269634/41034353569*c_0110_6 - 5625512903/41034353569, c_0110_6^9 + 38/5*c_0110_6^8 + 177/5*c_0110_6^7 + 522/5*c_0110_6^6 + 882/5*c_0110_6^5 + 188*c_0110_6^4 + 273/5*c_0110_6^3 - 3*c_0110_6^2 - 8/5*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB