Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 2017060001] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1738 geometric_solution 5.43821366 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.248824446045 0.507877091700 0 1 1 4 0132 1230 3012 1230 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 1.310464019787 1.524115098974 4 0 6 5 3012 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110006855305 0.955879004572 5 6 6 0 3120 2103 3120 0132 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 1 -1 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 0.703920120172 1.701358022351 1 5 0 2 3012 3120 0132 1230 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 1.419600412816 0.891492194001 6 4 2 3 0321 3120 0132 3120 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.228465882627 0.916295574867 5 3 3 2 0321 2103 3120 0132 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 -1 1 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 0.702246727572 0.937203920706 ==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' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_1001_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_3, c_0011_5, c_0101_1, c_0101_3, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1122160729/597440*c_1001_0^11 + 294347229/597440*c_1001_0^10 - 1385751387/149360*c_1001_0^9 - 2758844899/119488*c_1001_0^8 - 17039941303/597440*c_1001_0^7 - 29069548921/597440*c_1001_0^6 - 1363024233/74680*c_1001_0^5 + 454195623/149360*c_1001_0^4 + 6059350249/597440*c_1001_0^3 + 10334309211/298720*c_1001_0^2 + 17712593569/597440*c_1001_0 + 4505983237/597440, c_0011_0 - 1, c_0011_3 - 41817/37340*c_1001_0^11 + 6753/7468*c_1001_0^10 + 46663/9335*c_1001_0^9 + 60859/7468*c_1001_0^8 + 232949/37340*c_1001_0^7 + 704149/37340*c_1001_0^6 - 224179/18670*c_1001_0^5 + 67771/18670*c_1001_0^4 - 262927/37340*c_1001_0^3 - 267437/18670*c_1001_0^2 - 7773/7468*c_1001_0 + 53517/37340, c_0011_5 + 20303/18670*c_1001_0^11 - 6566/9335*c_1001_0^10 - 46278/9335*c_1001_0^9 - 32991/3734*c_1001_0^8 - 69523/9335*c_1001_0^7 - 352837/18670*c_1001_0^6 + 176207/18670*c_1001_0^5 - 35141/18670*c_1001_0^4 + 69544/9335*c_1001_0^3 + 123297/9335*c_1001_0^2 + 33083/18670*c_1001_0 - 10303/9335, c_0101_1 - 6566/9335*c_1001_0^11 + 8959/18670*c_1001_0^10 + 29189/9335*c_1001_0^9 + 10459/1867*c_1001_0^8 + 93829/18670*c_1001_0^7 + 118558/9335*c_1001_0^6 - 116353/18670*c_1001_0^5 + 37573/18670*c_1001_0^4 - 98557/18670*c_1001_0^3 - 19025/1867*c_1001_0^2 - 10303/9335*c_1001_0 + 1633/18670, c_0101_3 + 63261/37340*c_1001_0^11 - 40917/37340*c_1001_0^10 - 72226/9335*c_1001_0^9 - 101995/7468*c_1001_0^8 - 439377/37340*c_1001_0^7 - 1112293/37340*c_1001_0^6 + 279537/18670*c_1001_0^5 - 29367/18670*c_1001_0^4 + 406911/37340*c_1001_0^3 + 89223/3734*c_1001_0^2 + 109293/37340*c_1001_0 - 92289/37340, c_0101_5 - 51683/37340*c_1001_0^11 + 36997/37340*c_1001_0^10 + 58854/9335*c_1001_0^9 + 79273/7468*c_1001_0^8 + 319401/37340*c_1001_0^7 + 885307/37340*c_1001_0^6 - 120753/9335*c_1001_0^5 + 29909/9335*c_1001_0^4 - 242003/37340*c_1001_0^3 - 334407/18670*c_1001_0^2 - 56783/37340*c_1001_0 + 68081/37340, c_1001_0^12 - 5*c_1001_0^10 - 11*c_1001_0^9 - 12*c_1001_0^8 - 22*c_1001_0^7 - 3*c_1001_0^6 + 4*c_1001_0^5 + 5*c_1001_0^4 + 17*c_1001_0^3 + 11*c_1001_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB