Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 2901225551] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0594 geometric_solution 4.60790329 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 1 0 -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 2 0 -2 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.560595517432 0.825830703181 0 3 4 0 0132 0132 0132 3201 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 -1 -1 2 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897587883979 0.253426326753 0 2 2 0 3201 1230 3012 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 0 0 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.379367090621 0.150622782749 4 1 4 5 2103 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 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 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735550305456 0.561874314491 3 5 3 1 2031 0132 2103 0132 0 0 0 0 0 0 -1 1 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 0 -1 1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735550305456 0.561874314491 6 4 3 6 0132 0132 0132 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 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 0.419884642983 0.206737939147 5 6 6 5 0132 1230 3012 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 1 -1 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 1.446635259807 1.056589855521 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : 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_6' : d['1'], 's_0_4' : 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_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : d['c_1001_1'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 78949785/880214447*c_1001_1^13 + 895222859/880214447*c_1001_1^12 - 4938960274/880214447*c_1001_1^11 + 2583055359/125744921*c_1001_1^10 - 49961438829/880214447*c_1001_1^9 + 15925084847/125744921*c_1001_1^8 - 207017377044/880214447*c_1001_1^7 + 319190996790/880214447*c_1001_1^6 - 400614573384/880214447*c_1001_1^5 + 398286939669/880214447*c_1001_1^4 - 299498140021/880214447*c_1001_1^3 + 159053208427/880214447*c_1001_1^2 - 56589494929/880214447*c_1001_1 + 12243194009/880214447, c_0011_0 - 1, c_0011_2 - 7701822/125744921*c_1001_1^13 + 57002844/125744921*c_1001_1^12 - 206705896/125744921*c_1001_1^11 + 522898602/125744921*c_1001_1^10 - 1009294837/125744921*c_1001_1^9 + 1500757803/125744921*c_1001_1^8 - 1525804625/125744921*c_1001_1^7 + 372461764/125744921*c_1001_1^6 + 2007196183/125744921*c_1001_1^5 - 4516014398/125744921*c_1001_1^4 + 5165357038/125744921*c_1001_1^3 - 3444970230/125744921*c_1001_1^2 + 1163804993/125744921*c_1001_1 + 37911667/125744921, c_0011_4 - 62064186/125744921*c_1001_1^13 + 542591523/125744921*c_1001_1^12 - 2328959919/125744921*c_1001_1^11 + 6956937612/125744921*c_1001_1^10 - 16362866104/125744921*c_1001_1^9 + 31569454598/125744921*c_1001_1^8 - 50209763670/125744921*c_1001_1^7 + 64139484746/125744921*c_1001_1^6 - 63799566355/125744921*c_1001_1^5 + 46789086567/125744921*c_1001_1^4 - 22798247087/125744921*c_1001_1^3 + 6942002384/125744921*c_1001_1^2 - 976233277/125744921*c_1001_1 - 50529443/125744921, c_0101_0 + 24455671/125744921*c_1001_1^13 - 228006463/125744921*c_1001_1^12 + 1039110030/125744921*c_1001_1^11 - 3247863528/125744921*c_1001_1^10 + 7925393365/125744921*c_1001_1^9 - 15852188133/125744921*c_1001_1^8 + 26244330008/125744921*c_1001_1^7 - 35318275338/125744921*c_1001_1^6 + 37566018422/125744921*c_1001_1^5 - 30269828524/125744921*c_1001_1^4 + 17062490330/125744921*c_1001_1^3 - 6062648779/125744921*c_1001_1^2 + 990980114/125744921*c_1001_1 + 217862391/125744921, c_0101_1 + 78050337/125744921*c_1001_1^13 - 728171346/125744921*c_1001_1^12 + 3313132227/125744921*c_1001_1^11 - 10318985096/125744921*c_1001_1^10 + 25055162034/125744921*c_1001_1^9 - 49796856052/125744921*c_1001_1^8 + 81773579344/125744921*c_1001_1^7 - 108711690117/125744921*c_1001_1^6 + 113276865980/125744921*c_1001_1^5 - 87807442042/125744921*c_1001_1^4 + 45605672333/125744921*c_1001_1^3 - 13307715951/125744921*c_1001_1^2 + 1122414304/125744921*c_1001_1 + 383919859/125744921, c_0101_6 - 21716923/125744921*c_1001_1^13 + 183253875/125744921*c_1001_1^12 - 761629780/125744921*c_1001_1^11 + 2222519341/125744921*c_1001_1^10 - 5126732138/125744921*c_1001_1^9 + 9699431215/125744921*c_1001_1^8 - 15094319525/125744921*c_1001_1^7 + 18728918708/125744921*c_1001_1^6 - 17951755346/125744921*c_1001_1^5 + 12506165983/125744921*c_1001_1^4 - 5676303614/125744921*c_1001_1^3 + 1840176283/125744921*c_1001_1^2 - 324125368/125744921*c_1001_1 + 119016475/125744921, c_1001_1^14 - 11*c_1001_1^13 + 58*c_1001_1^12 - 203*c_1001_1^11 + 542*c_1001_1^10 - 1176*c_1001_1^9 + 2120*c_1001_1^8 - 3160*c_1001_1^7 + 3813*c_1001_1^6 - 3607*c_1001_1^5 + 2536*c_1001_1^4 - 1214*c_1001_1^3 + 342*c_1001_1^2 - 33*c_1001_1 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB