Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 1410713689] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s526 geometric_solution 4.93524268 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 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 -1 0 1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.666031708152 1.184030338588 0 5 5 4 0132 0132 0321 3201 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 1 0 -1 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 0.246107768117 0.748555527988 5 0 4 5 0132 0132 2103 0213 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 1 0 -1 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 0.246107768117 0.748555527988 3 4 3 0 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125975219507 0.439440404752 2 1 0 3 2103 2310 0132 3201 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 1 -1 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 0.899965983635 2.161307179025 2 1 1 2 0132 0132 0321 0213 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 -1 0 1 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 0.246107768117 0.748555527988 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_4']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 8801675/85113*c_0110_4^7 - 28263757/170226*c_0110_4^6 - 7586288/85113*c_0110_4^5 - 7480373/170226*c_0110_4^4 - 2229841/56742*c_0110_4^3 - 278851/18914*c_0110_4^2 - 472678/85113*c_0110_4 + 6737/170226, c_0011_0 - 1, c_0011_3 - 471049/24318*c_0110_4^7 - 187855/24318*c_0110_4^6 - 339865/24318*c_0110_4^5 - 112666/12159*c_0110_4^4 - 4579/4053*c_0110_4^3 - 20975/8106*c_0110_4^2 - 16703/24318*c_0110_4 + 2657/24318, c_0011_4 - 158383/24318*c_0110_4^7 - 96343/24318*c_0110_4^6 - 12227/12159*c_0110_4^5 - 24328/12159*c_0110_4^4 + 9328/4053*c_0110_4^3 + 1257/2702*c_0110_4^2 + 14137/24318*c_0110_4 + 4339/12159, c_0101_0 - 19967/1737*c_0110_4^7 - 7967/1737*c_0110_4^6 - 23761/3474*c_0110_4^5 - 15277/1737*c_0110_4^4 - 322/193*c_0110_4^3 - 1967/579*c_0110_4^2 - 1858/1737*c_0110_4 + 365/3474, c_0101_1 - 12710/4053*c_0110_4^7 + 26335/8106*c_0110_4^6 - 1058/4053*c_0110_4^5 + 1670/1351*c_0110_4^4 + 4747/4053*c_0110_4^3 - 4237/4053*c_0110_4^2 + 669/2702*c_0110_4 + 1271/4053, c_0110_4^8 + 22/41*c_0110_4^7 + 31/41*c_0110_4^6 + 24/41*c_0110_4^5 + 7/41*c_0110_4^4 + 6/41*c_0110_4^3 + 1/41*c_0110_4^2 - 1/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB