Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 1275973782] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1704 geometric_solution 5.41577735 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.520010629543 0.466803228043 3 2 4 0 0132 3012 0132 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 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 0.935094690799 0.955944374313 1 3 0 4 1230 3201 0132 3201 0 0 0 0 0 -1 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 0 0 1 -1 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935094690799 0.955944374313 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 -1 1 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 1.547575229517 0.583576177857 6 2 6 1 0132 2310 1023 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.021109954137 1.591954136240 5 3 5 3 2310 0132 3201 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 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 0.694945504371 0.519757626837 4 6 4 6 0132 1302 1023 2031 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 0.415991256492 0.124343949713 ==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_1']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], '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' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_1']), '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' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 2791940555/844251572*c_0101_4*c_0101_5^10 + 405528204/211062893*c_0101_4*c_0101_5^9 + 14486170117/422125786*c_0101_4*c_0101_5^8 - 35918953297/844251572*c_0101_4*c_0101_5^7 + 17053022004/211062893*c_0101_4*c_0101_5^6 - 4773208425/211062893*c_0101_4*c_0101_5^5 - 195538836051/844251572*c_0101_4*c_0101_5^4 - 207466479027/844251572*c_0101_4*c_0101_5^3 - 41627329705/211062893*c_0101_4*c_0101_5^2 - 22260429739/422125786*c_0101_4*c_0101_5 - 13980349375/844251572*c_0101_4, c_0011_0 - 1, c_0011_1 - 7871618/211062893*c_0101_4*c_0101_5^10 + 8646102/211062893*c_0101_4*c_0101_5^9 + 69421068/211062893*c_0101_4*c_0101_5^8 - 135397790/211062893*c_0101_4*c_0101_5^7 + 351902634/211062893*c_0101_4*c_0101_5^6 - 313795186/211062893*c_0101_4*c_0101_5^5 - 309325516/211062893*c_0101_4*c_0101_5^4 - 295257086/211062893*c_0101_4*c_0101_5^3 - 1001074069/211062893*c_0101_4*c_0101_5^2 - 347789973/211062893*c_0101_4*c_0101_5 - 187542993/211062893*c_0101_4, c_0011_4 + 70902673/211062893*c_0101_5^10 - 80123490/211062893*c_0101_5^9 - 697266780/211062893*c_0101_5^8 + 1293617802/211062893*c_0101_5^7 - 2379740840/211062893*c_0101_5^6 + 1756770494/211062893*c_0101_5^5 + 4047106402/211062893*c_0101_5^4 + 3257662825/211062893*c_0101_5^3 + 1849683565/211062893*c_0101_5^2 - 319095329/211062893*c_0101_5 - 12821115/211062893, c_0101_1 - 11759950/211062893*c_0101_5^10 + 15695759/211062893*c_0101_5^9 + 113276449/211062893*c_0101_5^8 - 234629684/211062893*c_0101_5^7 + 432257345/211062893*c_0101_5^6 - 411150317/211062893*c_0101_5^5 - 560459357/211062893*c_0101_5^4 - 456854642/211062893*c_0101_5^3 - 216929907/211062893*c_0101_5^2 + 418525488/211062893*c_0101_5 + 80123490/211062893, c_0101_2 - 128400270/211062893*c_0101_4*c_0101_5^10 + 115243644/211062893*c_0101_4*c_0101_5^9 + 1300085701/211062893*c_0101_4*c_0101_5^8 - 2059821695/211062893*c_0101_4*c_0101_5^7 + 3730951498/211062893*c_0101_4*c_0101_5^6 - 2053337049/211062893*c_0101_4*c_0101_5^5 - 8267270714/211062893*c_0101_4*c_0101_5^4 - 7260752969/211062893*c_0101_4*c_0101_5^3 - 4476336211/211062893*c_0101_4*c_0101_5^2 - 526557924/211062893*c_0101_4*c_0101_5 - 92944605/211062893*c_0101_4, c_0101_4^2 - 9569828/211062893*c_0101_5^10 - 13405076/211062893*c_0101_5^9 + 127296540/211062893*c_0101_5^8 + 59057323/211062893*c_0101_5^7 - 171691918/211062893*c_0101_5^6 + 665441704/211062893*c_0101_5^5 - 1378521743/211062893*c_0101_5^4 - 1703094889/211062893*c_0101_5^3 - 1254332238/211062893*c_0101_5^2 - 458223501/211062893*c_0101_5 + 293969123/211062893, c_0101_5^11 - c_0101_5^10 - 10*c_0101_5^9 + 17*c_0101_5^8 - 31*c_0101_5^7 + 20*c_0101_5^6 + 61*c_0101_5^5 + 52*c_0101_5^4 + 31*c_0101_5^3 - 2*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB