Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 1225315690] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s312 geometric_solution 4.48345280 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 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 -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 2.168710545333 1.170680653735 0 3 4 0 0132 0132 0132 3201 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 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 -0.120597425604 0.836824235059 0 4 3 0 3201 2103 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.120597425604 0.836824235059 4 1 2 5 2310 0132 3120 0132 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 -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 -0.156616940762 0.774454353966 5 2 3 1 1230 2103 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 -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 0.596950551388 0.399709650907 5 4 3 5 3201 3012 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 1 -1 0 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 1.802200200846 1.191596492862 ==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' : negation(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' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 26797/10210*c_0101_4^9 - 206079/10210*c_0101_4^8 - 290262/5105*c_0101_4^7 - 95534/1021*c_0101_4^6 - 683116/5105*c_0101_4^5 - 303879/2042*c_0101_4^4 - 1261931/10210*c_0101_4^3 - 614571/10210*c_0101_4^2 - 62153/2042*c_0101_4 - 27736/5105, c_0011_0 - 1, c_0011_2 + 1, c_0011_4 - 744/1021*c_0101_4^9 - 5472/1021*c_0101_4^8 - 14161/1021*c_0101_4^7 - 21025/1021*c_0101_4^6 - 29514/1021*c_0101_4^5 - 31082/1021*c_0101_4^4 - 23295/1021*c_0101_4^3 - 9186/1021*c_0101_4^2 - 6214/1021*c_0101_4 - 949/1021, c_0011_5 - 264/1021*c_0101_4^9 - 1777/1021*c_0101_4^8 - 3938/1021*c_0101_4^7 - 5155/1021*c_0101_4^6 - 7772/1021*c_0101_4^5 - 7505/1021*c_0101_4^4 - 5697/1021*c_0101_4^3 - 2008/1021*c_0101_4^2 - 2699/1021*c_0101_4 - 205/1021, c_0101_0 - 389/1021*c_0101_4^9 - 3388/1021*c_0101_4^8 - 11333/1021*c_0101_4^7 - 21476/1021*c_0101_4^6 - 31578/1021*c_0101_4^5 - 38436/1021*c_0101_4^4 - 34720/1021*c_0101_4^3 - 21213/1021*c_0101_4^2 - 8730/1021*c_0101_4 - 2696/1021, c_0101_4^10 + 8*c_0101_4^9 + 24*c_0101_4^8 + 42*c_0101_4^7 + 61*c_0101_4^6 + 71*c_0101_4^5 + 63*c_0101_4^4 + 36*c_0101_4^3 + 18*c_0101_4^2 + 6*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB