Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 3734979280] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s567 geometric_solution 5.01927009 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 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 -2 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789755948464 0.870272733789 3 4 2 0 0132 0132 1230 0132 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 1 -1 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092863631419 0.904923420014 4 3 0 1 2310 3201 0132 3012 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 0 -1 2 -1 1 0 0 -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 1.092863631419 0.904923420014 1 5 2 5 0132 0132 2310 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797415400845 0.567548042337 4 1 2 4 3201 0132 3201 2310 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 1 0 -1 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 0.147767222560 0.812553736272 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569190373561 0.155741542597 ==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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : negation(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_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), '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_0110_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 2678626890/858347*c_0110_5^15 - 9610651702/858347*c_0110_5^14 - 5662604046/858347*c_0110_5^13 - 22133810665/858347*c_0110_5^12 + 131566826561/858347*c_0110_5^11 - 123695585070/858347*c_0110_5^10 + 21120402347/50491*c_0110_5^9 - 480166960524/858347*c_0110_5^8 + 26182088932/50491*c_0110_5^7 - 542994734871/858347*c_0110_5^6 + 463983172781/858347*c_0110_5^5 - 251144855601/858347*c_0110_5^4 + 150490805698/858347*c_0110_5^3 - 94033134434/858347*c_0110_5^2 + 33454236279/858347*c_0110_5 - 4588566901/858347, c_0011_0 - 1, c_0011_1 + 203324570/122621*c_0110_5^15 + 712911516/122621*c_0110_5^14 + 360732585/122621*c_0110_5^13 + 1605099724/122621*c_0110_5^12 - 10167733888/122621*c_0110_5^11 + 10099642017/122621*c_0110_5^10 - 1624325235/7213*c_0110_5^9 + 38473080978/122621*c_0110_5^8 - 2094066445/7213*c_0110_5^7 + 42951627424/122621*c_0110_5^6 - 37604523801/122621*c_0110_5^5 + 20580979408/122621*c_0110_5^4 - 12130332262/122621*c_0110_5^3 + 7676010145/122621*c_0110_5^2 - 2816865003/122621*c_0110_5 + 400265281/122621, c_0101_1 + 196940711/122621*c_0110_5^15 + 691208897/122621*c_0110_5^14 + 352178931/122621*c_0110_5^13 + 1557489828/122621*c_0110_5^12 - 9841491562/122621*c_0110_5^11 + 9752520170/122621*c_0110_5^10 - 1572325837/7213*c_0110_5^9 + 37181832525/122621*c_0110_5^8 - 2023510624/7213*c_0110_5^7 + 41528827311/122621*c_0110_5^6 - 36321310827/122621*c_0110_5^5 + 19866226586/122621*c_0110_5^4 - 11718134521/122621*c_0110_5^3 + 7411696701/122621*c_0110_5^2 - 2715879125/122621*c_0110_5 + 385257245/122621, c_0101_2 + 21003679/122621*c_0110_5^15 + 73418434/122621*c_0110_5^14 + 36823488/122621*c_0110_5^13 + 167068002/122621*c_0110_5^12 - 1049675230/122621*c_0110_5^11 + 1059561912/122621*c_0110_5^10 - 169204154/7213*c_0110_5^9 + 4004983396/122621*c_0110_5^8 - 221257972/7213*c_0110_5^7 + 4492271196/122621*c_0110_5^6 - 3954457406/122621*c_0110_5^5 + 2203806023/122621*c_0110_5^4 - 1284644053/122621*c_0110_5^3 + 811529704/122621*c_0110_5^2 - 306421276/122621*c_0110_5 + 45583722/122621, c_0101_4 + 96576904/122621*c_0110_5^15 + 337832584/122621*c_0110_5^14 + 168492021/122621*c_0110_5^13 + 760899623/122621*c_0110_5^12 - 4835190493/122621*c_0110_5^11 + 4837419352/122621*c_0110_5^10 - 773498505/7213*c_0110_5^9 + 18372743252/122621*c_0110_5^8 - 1002901669/7213*c_0110_5^7 + 20507605510/122621*c_0110_5^6 - 18010210233/122621*c_0110_5^5 + 9895958518/122621*c_0110_5^4 - 5812711720/122621*c_0110_5^3 + 3681882150/122621*c_0110_5^2 - 1360813149/122621*c_0110_5 + 195276160/122621, c_0110_5^16 + 3*c_0110_5^15 + 7*c_0110_5^13 - 54*c_0110_5^12 + 75*c_0110_5^11 - 161*c_0110_5^10 + 258*c_0110_5^9 - 271*c_0110_5^8 + 300*c_0110_5^7 - 292*c_0110_5^6 + 195*c_0110_5^5 - 111*c_0110_5^4 + 68*c_0110_5^3 - 33*c_0110_5^2 + 9*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB