Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 2446331326] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s185 geometric_solution 4.28591337 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 1 -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 2.008343888249 0.579160835226 0 2 3 0 0132 0132 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 0 1 -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 0.217411815679 0.796856249843 4 1 3 3 0132 0132 2103 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465156278943 1.281479572333 2 2 4 1 2103 2310 2310 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 1 0 -1 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 0.465156278943 1.281479572333 2 3 5 5 0132 3201 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 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 0.219983956855 0.306543195027 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.448378141783 0.743338527199 ==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' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0011_3'], '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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 187026/13051*c_0101_4^11 - 390335/13051*c_0101_4^10 + 402334/13051*c_0101_4^9 - 253547/13051*c_0101_4^8 + 549007/13051*c_0101_4^7 - 358907/13051*c_0101_4^6 + 135803/13051*c_0101_4^5 + 561164/13051*c_0101_4^4 - 865216/13051*c_0101_4^3 + 877553/13051*c_0101_4^2 - 452403/13051*c_0101_4 + 179295/13051, c_0011_0 - 1, c_0011_3 + 134598/13051*c_0101_4^11 + 235819/13051*c_0101_4^10 - 382281/13051*c_0101_4^9 + 324614/13051*c_0101_4^8 - 367943/13051*c_0101_4^7 + 274499/13051*c_0101_4^6 - 227902/13051*c_0101_4^5 - 443876/13051*c_0101_4^4 + 865016/13051*c_0101_4^3 - 801457/13051*c_0101_4^2 + 403986/13051*c_0101_4 - 90997/13051, c_0011_5 - 177777/13051*c_0101_4^11 - 319335/13051*c_0101_4^10 + 527939/13051*c_0101_4^9 - 299858/13051*c_0101_4^8 + 446191/13051*c_0101_4^7 - 377413/13051*c_0101_4^6 + 193358/13051*c_0101_4^5 + 610116/13051*c_0101_4^4 - 1087681/13051*c_0101_4^3 + 882691/13051*c_0101_4^2 - 410149/13051*c_0101_4 + 90668/13051, c_0101_0 - 94950/13051*c_0101_4^11 - 163077/13051*c_0101_4^10 + 278364/13051*c_0101_4^9 - 230952/13051*c_0101_4^8 + 268463/13051*c_0101_4^7 - 186321/13051*c_0101_4^6 + 163471/13051*c_0101_4^5 + 317531/13051*c_0101_4^4 - 620800/13051*c_0101_4^3 + 579230/13051*c_0101_4^2 - 291225/13051*c_0101_4 + 58196/13051, c_0101_2 - 138393/13051*c_0101_4^11 - 262767/13051*c_0101_4^10 + 382867/13051*c_0101_4^9 - 203075/13051*c_0101_4^8 + 308410/13051*c_0101_4^7 - 267528/13051*c_0101_4^6 + 134578/13051*c_0101_4^5 + 512002/13051*c_0101_4^4 - 784039/13051*c_0101_4^3 + 608452/13051*c_0101_4^2 - 250509/13051*c_0101_4 + 50999/13051, c_0101_4^12 + 4/3*c_0101_4^11 - 11/3*c_0101_4^10 + 10/3*c_0101_4^9 - 11/3*c_0101_4^8 + 10/3*c_0101_4^7 - 7/3*c_0101_4^6 - 8/3*c_0101_4^5 + 23/3*c_0101_4^4 - 25/3*c_0101_4^3 + 16/3*c_0101_4^2 - 2*c_0101_4 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB