Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 2480017216] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1369 geometric_solution 5.22882748 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508281444743 0.795747397466 0 3 2 4 0132 0132 1230 0132 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 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 0 0 0 0 0.949662129272 0.961327996238 3 0 4 1 2310 0132 0132 3012 0 0 0 0 0 1 -1 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 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 0.949662129272 0.961327996238 3 1 2 3 3201 0132 3201 2310 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209078846693 0.732308858067 5 5 1 2 0132 2310 0132 0132 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 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 0.421282640313 1.082614607094 4 6 6 4 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.452770540951 0.355444549425 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.575553830168 0.340433383029 ==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' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 86281514/14620799*c_0101_3*c_0101_6^11 - 184956053/14620799*c_0101_3*c_0101_6^10 - 51572674/860047*c_0101_3*c_0101_6^9 - 1806177339/14620799*c_0101_3*c_0101_6^8 - 766751220/14620799*c_0101_3*c_0101_6^7 + 2121940715/14620799*c_0101_3*c_0101_6^6 + 5089020318/14620799*c_0101_3*c_0101_6^5 - 1958466374/14620799*c_0101_3*c_0101_6^4 + 2917157931/14620799*c_0101_3*c_0101_6^3 - 2312978406/14620799*c_0101_3*c_0101_6^2 + 289924520/14620799*c_0101_3*c_0101_6 - 460508262/14620799*c_0101_3, c_0011_0 - 1, c_0011_4 + 336825/860047*c_0101_3*c_0101_6^11 + 1247014/860047*c_0101_3*c_0101_6^10 + 304697/50591*c_0101_3*c_0101_6^9 + 14467455/860047*c_0101_3*c_0101_6^8 + 22875533/860047*c_0101_3*c_0101_6^7 + 20044744/860047*c_0101_3*c_0101_6^6 + 984411/860047*c_0101_3*c_0101_6^5 + 2100103/860047*c_0101_3*c_0101_6^4 - 5220793/860047*c_0101_3*c_0101_6^3 - 995944/860047*c_0101_3*c_0101_6^2 - 2067195/860047*c_0101_3*c_0101_6 + 385017/860047*c_0101_3, c_0101_0 + 11248762/14620799*c_0101_6^11 + 35424585/14620799*c_0101_6^10 + 8780509/860047*c_0101_6^9 + 387711590/14620799*c_0101_6^8 + 494127078/14620799*c_0101_6^7 + 252970416/14620799*c_0101_6^6 - 296433892/14620799*c_0101_6^5 + 121291817/14620799*c_0101_6^4 - 158657528/14620799*c_0101_6^3 + 7578812/14620799*c_0101_6^2 + 16581942/14620799*c_0101_6 - 11330883/14620799, c_0101_1 - 8639574/14620799*c_0101_6^11 - 25024030/14620799*c_0101_6^10 - 6289948/860047*c_0101_6^9 - 265359796/14620799*c_0101_6^8 - 290484739/14620799*c_0101_6^7 - 58499594/14620799*c_0101_6^6 + 341581824/14620799*c_0101_6^5 - 94783882/14620799*c_0101_6^4 + 136671763/14620799*c_0101_6^3 - 67391095/14620799*c_0101_6^2 - 20529290/14620799*c_0101_6 + 2355604/14620799, c_0101_2 + 2996558/14620799*c_0101_3*c_0101_6^11 + 5850463/14620799*c_0101_3*c_0101_6^10 + 1505851/860047*c_0101_3*c_0101_6^9 + 46483234/14620799*c_0101_3*c_0101_6^8 - 30995211/14620799*c_0101_3*c_0101_6^7 - 192826796/14620799*c_0101_3*c_0101_6^6 - 296943951/14620799*c_0101_3*c_0101_6^5 + 38404245/14620799*c_0101_3*c_0101_6^4 - 29777561/14620799*c_0101_3*c_0101_6^3 + 10627593/14620799*c_0101_3*c_0101_6^2 + 42012723/14620799*c_0101_3*c_0101_6 - 11487707/14620799*c_0101_3, c_0101_3^2 - 4674857/29241598*c_0101_6^11 - 4442605/14620799*c_0101_6^10 - 2476583/1720094*c_0101_6^9 - 39705535/14620799*c_0101_6^8 + 14248797/29241598*c_0101_6^7 + 98396438/14620799*c_0101_6^6 + 149694258/14620799*c_0101_6^5 - 194712053/29241598*c_0101_6^4 + 78442559/29241598*c_0101_6^3 - 32163929/14620799*c_0101_6^2 - 9716539/14620799*c_0101_6 - 6505129/29241598, c_0101_6^12 + 3*c_0101_6^11 + 13*c_0101_6^10 + 33*c_0101_6^9 + 41*c_0101_6^8 + 21*c_0101_6^7 - 26*c_0101_6^6 + 11*c_0101_6^5 - 28*c_0101_6^4 + 5*c_0101_6^3 - 2*c_0101_6^2 + c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB