Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 341149742] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0097 geometric_solution 3.63162925 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.393739070108 0.611638594601 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 -1 0 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 -1 0 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 0.509754140987 0.133587552374 0 0 2 2 3201 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 0.158777050935 0.015982754442 1 4 1 4 2310 0132 0132 1023 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.870763016959 0.164998204084 5 3 6 3 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 1 -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 0.982979768044 0.506074405310 4 6 6 6 0132 0213 3012 1230 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 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 0.988650786146 1.000346215343 5 5 5 4 3012 1230 0213 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 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 0.988650786146 1.000346215343 ==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' : negation(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' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_5' : negation(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_3'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 4751326774*c_0110_2^25 - 36049327560*c_0110_2^24 - 113405006491*c_0110_2^23 + 469681057341*c_0110_2^22 + 3725968761986*c_0110_2^21 + 1051428537563*c_0110_2^20 - 32681358196495*c_0110_2^19 - 30768157061751*c_0110_2^18 + 125882858648714*c_0110_2^17 + 163172952576828*c_0110_2^16 - 234629435095484*c_0110_2^15 - 424043470272666*c_0110_2^14 + 163372528009811*c_0110_2^13 + 599860365643425*c_0110_2^12 + 122444927868727*c_0110_2^11 - 430875771599831*c_0110_2^10 - 295047495278960*c_0110_2^9 + 87687304574223*c_0110_2^8 + 177037325237146*c_0110_2^7 + 60192510445943*c_0110_2^6 - 19989132117136*c_0110_2^5 - 24623504815479*c_0110_2^4 - 9766932993082*c_0110_2^3 - 2073417368628*c_0110_2^2 - 236825419713*c_0110_2 - 11508526722, c_0011_0 - 1, c_0011_3 - 21*c_0110_2^25 - 167*c_0110_2^24 - 559*c_0110_2^23 + 1896*c_0110_2^22 + 17236*c_0110_2^21 + 10620*c_0110_2^20 - 143072*c_0110_2^19 - 188828*c_0110_2^18 + 509556*c_0110_2^17 + 927038*c_0110_2^16 - 784584*c_0110_2^15 - 2267046*c_0110_2^14 + 58034*c_0110_2^13 + 2951760*c_0110_2^12 + 1495184*c_0110_2^11 - 1758832*c_0110_2^10 - 2010127*c_0110_2^9 - 51248*c_0110_2^8 + 949618*c_0110_2^7 + 544172*c_0110_2^6 - 6567*c_0110_2^5 - 146322*c_0110_2^4 - 81176*c_0110_2^3 - 22790*c_0110_2^2 - 3544*c_0110_2 - 252, c_0011_6 + 23465224*c_0110_2^25 + 178977899*c_0110_2^24 + 567000491*c_0110_2^23 - 2298730216*c_0110_2^22 - 18499409205*c_0110_2^21 - 5909153046*c_0110_2^20 + 161361621700*c_0110_2^19 + 158455692400*c_0110_2^18 - 617102645861*c_0110_2^17 - 831993827525*c_0110_2^16 + 1132426386273*c_0110_2^15 + 2147299673797*c_0110_2^14 - 734823745293*c_0110_2^13 - 3012613452275*c_0110_2^12 - 712794474020*c_0110_2^11 + 2129926311558*c_0110_2^10 + 1543373598108*c_0110_2^9 - 395176757732*c_0110_2^8 - 901641577990*c_0110_2^7 - 326125705038*c_0110_2^6 + 93970857639*c_0110_2^5 + 126912502842*c_0110_2^4 + 51850264949*c_0110_2^3 + 11268635137*c_0110_2^2 + 1316211038*c_0110_2 + 65424650, c_0101_0 + c_0110_2^25 + 8*c_0110_2^24 + 27*c_0110_2^23 - 89*c_0110_2^22 - 825*c_0110_2^21 - 545*c_0110_2^20 + 6787*c_0110_2^19 + 9315*c_0110_2^18 - 23821*c_0110_2^17 - 45279*c_0110_2^16 + 35205*c_0110_2^15 + 109631*c_0110_2^14 + 2457*c_0110_2^13 - 140443*c_0110_2^12 - 77887*c_0110_2^11 + 80045*c_0110_2^10 + 99532*c_0110_2^9 + 7180*c_0110_2^8 - 44878*c_0110_2^7 - 28050*c_0110_2^6 - 1023*c_0110_2^5 + 6919*c_0110_2^4 + 4195*c_0110_2^3 + 1285*c_0110_2^2 + 231*c_0110_2 + 22, c_0101_1 + 51499440*c_0110_2^25 + 387670353*c_0110_2^24 + 1207047147*c_0110_2^23 - 5155943039*c_0110_2^22 - 40058631304*c_0110_2^21 - 9111252241*c_0110_2^20 + 354073658024*c_0110_2^19 + 312460144721*c_0110_2^18 - 1376592926578*c_0110_2^17 - 1682939854433*c_0110_2^16 + 2617062395585*c_0110_2^15 + 4417750232997*c_0110_2^14 - 1979072993252*c_0110_2^13 - 6320300241141*c_0110_2^12 - 1006646753375*c_0110_2^11 + 4632086536833*c_0110_2^10 + 2934111584910*c_0110_2^9 - 1044330312335*c_0110_2^8 - 1828123454584*c_0110_2^7 - 571420371054*c_0110_2^6 + 225934074086*c_0110_2^5 + 250638311990*c_0110_2^4 + 95916651564*c_0110_2^3 + 19800203258*c_0110_2^2 + 2203260638*c_0110_2 + 104324163, c_0101_5 - 230*c_0110_2^25 - 1820*c_0110_2^24 - 6051*c_0110_2^23 + 21002*c_0110_2^22 + 187943*c_0110_2^21 + 108939*c_0110_2^20 - 1571085*c_0110_2^19 - 2006165*c_0110_2^18 + 5658343*c_0110_2^17 + 9928435*c_0110_2^16 - 8978909*c_0110_2^15 - 24465751*c_0110_2^14 + 1592305*c_0110_2^13 + 32241399*c_0110_2^12 + 15102693*c_0110_2^11 - 19827647*c_0110_2^10 - 21213573*c_0110_2^9 + 259195*c_0110_2^8 + 10366008*c_0110_2^7 + 5546760*c_0110_2^6 - 280832*c_0110_2^5 - 1583780*c_0110_2^4 - 825447*c_0110_2^3 - 218569*c_0110_2^2 - 31395*c_0110_2 - 1978, c_0110_2^26 + 8*c_0110_2^25 + 27*c_0110_2^24 - 89*c_0110_2^23 - 825*c_0110_2^22 - 545*c_0110_2^21 + 6787*c_0110_2^20 + 9315*c_0110_2^19 - 23821*c_0110_2^18 - 45279*c_0110_2^17 + 35205*c_0110_2^16 + 109631*c_0110_2^15 + 2457*c_0110_2^14 - 140443*c_0110_2^13 - 77887*c_0110_2^12 + 80045*c_0110_2^11 + 99532*c_0110_2^10 + 7180*c_0110_2^9 - 44878*c_0110_2^8 - 28050*c_0110_2^7 - 1023*c_0110_2^6 + 6919*c_0110_2^5 + 4195*c_0110_2^4 + 1285*c_0110_2^3 + 230*c_0110_2^2 + 23*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB