Magma V2.19-8 Tue Aug 20 2013 23:43:56 on localhost [Seed = 543573302] Type ? for help. Type -D to quit. Loading file "L14n13480__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13480 geometric_solution 9.81472970 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 1230 1 1 1 1 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 1 0 -1 0 0 8 -8 1 0 0 -1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063055477316 1.071585046642 0 4 5 3 0132 0132 0132 3012 1 1 1 1 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 0 0 7 0 0 -7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233496150128 0.627204354142 6 0 7 4 0132 0132 0132 0213 1 1 1 1 0 0 0 0 1 0 -1 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 -7 0 7 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095510157724 0.703499132604 0 6 1 0 3012 0132 1230 0132 1 1 1 1 0 0 0 0 0 0 -1 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 1 0 7 -8 8 -8 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582673746023 0.238266055596 5 1 8 2 0321 0132 0132 0213 1 1 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 0 0 0 1 0 -1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095510157724 0.703499132604 4 9 6 1 0321 0132 2031 0132 1 1 1 1 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 1 0 -1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214234381828 1.382548350019 2 3 10 5 0132 0132 0132 1302 1 1 1 1 0 0 0 0 -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 0 0 0 0 7 0 0 -7 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890547995928 0.706341747509 9 8 9 2 3201 2103 0321 0132 1 1 1 0 0 0 0 0 -1 0 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 8 0 -1 -7 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501975163260 0.577923581045 10 7 10 4 2103 2103 0213 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501975163260 0.577923581045 10 5 7 7 0321 0132 0321 2310 1 0 1 1 0 0 0 0 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 0 0 0 0 -1 0 1 0 8 0 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855676898963 0.992954208676 9 8 8 6 0321 0213 2103 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -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 -8 0 0 8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143350152300 0.986260245365 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0101_4']), 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0101_3']), 'c_1100_8' : d['c_1001_0'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_5'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_7, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 89596408689535329/8877684289201288*c_1001_3^9 + 71818677630223481/8877684289201288*c_1001_3^8 + 346979134834129/31593182523848*c_1001_3^7 + 41034580613714455/403531104054604*c_1001_3^6 - 1050996520495143646/1109710536150161*c_1001_3^5 + 5962185536423494731/2219421072300322*c_1001_3^4 - 16382169731878692431/4438842144600644*c_1001_3^3 + 150908622205137185/8877684289201288*c_1001_3^2 + 17188134892604869709/4438842144600644*c_1001_3 - 23761728683730406257/8877684289201288, c_0011_0 - 1, c_0011_10 - 4827541451/7898295630962*c_1001_3^9 + 700178835/7898295630962*c_1001_3^8 + 58877603863/7898295630962*c_1001_3^7 + 4032706816/359013437771*c_1001_3^6 - 236423933160/3949147815481*c_1001_3^5 + 142222148516/3949147815481*c_1001_3^4 + 1464438700099/3949147815481*c_1001_3^3 - 8029155018561/7898295630962*c_1001_3^2 + 2172289085138/3949147815481*c_1001_3 + 6260845533225/7898295630962, c_0011_5 + 4485646204/3949147815481*c_1001_3^9 - 31682152892/3949147815481*c_1001_3^8 - 466183271/3949147815481*c_1001_3^7 - 1708959076/359013437771*c_1001_3^6 + 701188481981/3949147815481*c_1001_3^5 - 3658880788979/3949147815481*c_1001_3^4 + 7901659094959/3949147815481*c_1001_3^3 - 6293931726245/3949147815481*c_1001_3^2 - 4324227552184/3949147815481*c_1001_3 + 7673282061721/3949147815481, c_0011_7 - 1, c_0101_0 - 154349436291/3949147815481*c_1001_3^9 + 130477803824/3949147815481*c_1001_3^8 + 168381058608/3949147815481*c_1001_3^7 + 141336999356/359013437771*c_1001_3^6 - 14626061437084/3949147815481*c_1001_3^5 + 41594341902848/3949147815481*c_1001_3^4 - 57751619531466/3949147815481*c_1001_3^3 + 3443906435836/3949147815481*c_1001_3^2 + 54579098522631/3949147815481*c_1001_3 - 32395681702275/3949147815481, c_0101_2 - 26636455257/3949147815481*c_1001_3^9 + 21274368099/3949147815481*c_1001_3^8 + 41519275101/3949147815481*c_1001_3^7 + 27087859845/359013437771*c_1001_3^6 - 2470959310536/3949147815481*c_1001_3^5 + 7085852960991/3949147815481*c_1001_3^4 - 8779759651693/3949147815481*c_1001_3^3 - 260769982790/3949147815481*c_1001_3^2 + 8654268272506/3949147815481*c_1001_3 - 3212849753981/3949147815481, c_0101_3 + 1103116/705330919*c_1001_3^9 + 1134597/705330919*c_1001_3^8 - 4819106/705330919*c_1001_3^7 - 14342385/705330919*c_1001_3^6 + 92268498/705330919*c_1001_3^5 - 58760446/705330919*c_1001_3^4 - 263131715/705330919*c_1001_3^3 + 957585872/705330919*c_1001_3^2 - 639478790/705330919*c_1001_3 - 755524009/705330919, c_0101_4 + 26636455257/3949147815481*c_1001_3^9 - 21274368099/3949147815481*c_1001_3^8 - 41519275101/3949147815481*c_1001_3^7 - 27087859845/359013437771*c_1001_3^6 + 2470959310536/3949147815481*c_1001_3^5 - 7085852960991/3949147815481*c_1001_3^4 + 8779759651693/3949147815481*c_1001_3^3 + 260769982790/3949147815481*c_1001_3^2 - 8654268272506/3949147815481*c_1001_3 + 3212849753981/3949147815481, c_1001_0 - 19582705172/3949147815481*c_1001_3^9 + 27304575598/3949147815481*c_1001_3^8 + 19626497933/3949147815481*c_1001_3^7 + 16170220531/359013437771*c_1001_3^6 - 1986179958500/3949147815481*c_1001_3^5 + 6270608770977/3949147815481*c_1001_3^4 - 9311219079507/3949147815481*c_1001_3^3 + 3448115462936/3949147815481*c_1001_3^2 + 8587566643254/3949147815481*c_1001_3 - 8538438836669/3949147815481, c_1001_1 + 19582705172/3949147815481*c_1001_3^9 - 27304575598/3949147815481*c_1001_3^8 - 19626497933/3949147815481*c_1001_3^7 - 16170220531/359013437771*c_1001_3^6 + 1986179958500/3949147815481*c_1001_3^5 - 6270608770977/3949147815481*c_1001_3^4 + 9311219079507/3949147815481*c_1001_3^3 - 3448115462936/3949147815481*c_1001_3^2 - 8587566643254/3949147815481*c_1001_3 + 8538438836669/3949147815481, c_1001_3^10 - 2*c_1001_3^9 - 9*c_1001_3^7 + 106*c_1001_3^6 - 380*c_1001_3^5 + 698*c_1001_3^4 - 487*c_1001_3^3 - 289*c_1001_3^2 + 635*c_1001_3 - 281 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB