Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 3103335865] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3441 geometric_solution 6.61163486 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647335257212 0.549172934517 0 5 5 6 0132 0132 3120 0132 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 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 0.441383291992 0.778944397371 4 0 5 3 1230 0132 2103 1230 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 -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 0.827922770864 1.289249313767 2 3 3 0 3012 1230 3012 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 1.101714053961 0.762069304159 6 2 0 6 1302 3012 0132 0213 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 -1 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 0.974660542501 1.063440876756 2 1 1 6 2103 0132 3120 2310 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 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 0.441383291992 0.778944397371 5 4 1 4 3201 2031 0132 0213 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 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 0.404548682758 1.425006351780 ==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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['1']), 's_0_2' : 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' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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_0110_4']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0110_4']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_4']), '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_3, c_0011_6, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 12098771/376108*c_0110_4^8 - 106187121/1504432*c_0110_4^7 + 86107179/1504432*c_0110_4^6 - 81623621/1504432*c_0110_4^5 + 18096505/1504432*c_0110_4^4 - 3540189/44248*c_0110_4^3 + 15605797/1504432*c_0110_4^2 + 27655049/1504432*c_0110_4 - 368533/1504432, c_0011_0 - 1, c_0011_3 - 15472/5531*c_0101_2*c_0110_4^8 - 36884/5531*c_0101_2*c_0110_4^7 + 25780/5531*c_0101_2*c_0110_4^6 - 9980/5531*c_0101_2*c_0110_4^5 - 4928/5531*c_0101_2*c_0110_4^4 - 27669/5531*c_0101_2*c_0110_4^3 - 6362/5531*c_0101_2*c_0110_4^2 + 23542/5531*c_0101_2*c_0110_4 + 4631/5531*c_0101_2, c_0011_6 - c_0101_2, c_0101_0 + 4*c_0101_2*c_0110_4^8 + 7*c_0101_2*c_0110_4^7 - 12*c_0101_2*c_0110_4^6 + 8*c_0101_2*c_0110_4^5 - 2*c_0101_2*c_0110_4^4 + 9*c_0101_2*c_0110_4^3 - 5*c_0101_2*c_0110_4^2 - 4*c_0101_2*c_0110_4 + c_0101_2, c_0101_2^2 - 7236/5531*c_0110_4^8 - 9883/5531*c_0110_4^7 + 25933/5531*c_0110_4^6 - 23148/5531*c_0110_4^5 + 13722/5531*c_0110_4^4 - 16774/5531*c_0110_4^3 + 14936/5531*c_0110_4^2 - 2211/5531*c_0110_4 - 2154/5531, c_0101_3 - 6652/5531*c_0110_4^8 - 1833/5531*c_0110_4^7 + 40592/5531*c_0110_4^6 - 34268/5531*c_0110_4^5 + 15990/5531*c_0110_4^4 - 22110/5531*c_0110_4^3 + 34017/5531*c_0110_4^2 - 1418/5531*c_0110_4 - 10162/5531, c_0110_4^9 + 7/4*c_0110_4^8 - 3*c_0110_4^7 + 2*c_0110_4^6 - 1/2*c_0110_4^5 + 9/4*c_0110_4^4 - 5/4*c_0110_4^3 - c_0110_4^2 + 1/2*c_0110_4 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB