Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 610646075] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s701 geometric_solution 5.21048266 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 1 -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 0.450298595558 0.524303152000 0 3 2 4 0132 0132 1230 0132 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 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 1.057287348087 1.097643252065 3 0 4 1 2310 0132 2310 3012 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 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 1.057287348087 1.097643252065 3 1 2 3 3012 0132 3201 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170336598596 0.588319461680 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626405023767 0.380368812478 4 5 5 4 0132 3201 2310 1023 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.131192922563 0.561031175891 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), '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_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_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), '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' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 3177463/733900*c_0101_5^8 + 6062613/733900*c_0101_5^7 - 38589439/733900*c_0101_5^6 + 19292551/366950*c_0101_5^5 - 1612853/146780*c_0101_5^4 + 47833417/733900*c_0101_5^3 - 76161493/733900*c_0101_5^2 - 4912851/183475*c_0101_5 + 830427/733900, c_0011_0 - 1, c_0011_4 + 393/8950*c_0101_1*c_0101_5^8 + 843/8950*c_0101_1*c_0101_5^7 - 4949/8950*c_0101_1*c_0101_5^6 + 1461/4475*c_0101_1*c_0101_5^5 + 867/1790*c_0101_1*c_0101_5^4 + 1157/8950*c_0101_1*c_0101_5^3 - 11293/8950*c_0101_1*c_0101_5^2 - 5047/4475*c_0101_1*c_0101_5 + 6007/8950*c_0101_1, c_0101_0 + 168/4475*c_0101_5^8 + 538/4475*c_0101_5^7 - 1774/4475*c_0101_5^6 - 903/4475*c_0101_5^5 + 868/895*c_0101_5^4 + 1902/4475*c_0101_5^3 - 2368/4475*c_0101_5^2 - 7854/4475*c_0101_5 - 1668/4475, c_0101_1^2 + 196/4475*c_0101_5^8 + 31/4475*c_0101_5^7 - 3263/4475*c_0101_5^6 + 5659/4475*c_0101_5^5 - 658/895*c_0101_5^4 + 5799/4475*c_0101_5^3 - 8431/4475*c_0101_5^2 + 1577/4475*c_0101_5 + 1634/4475, c_0101_2 + 202/4475*c_0101_5^8 + 242/4475*c_0101_5^7 - 2751/4475*c_0101_5^6 + 4508/4475*c_0101_5^5 - 18/179*c_0101_5^4 + 1328/4475*c_0101_5^3 - 10817/4475*c_0101_5^2 - 1836/4475*c_0101_5 + 4643/4475, c_0101_5^9 + 2*c_0101_5^8 - 12*c_0101_5^7 + 11*c_0101_5^6 - c_0101_5^5 + 14*c_0101_5^4 - 22*c_0101_5^3 - 9*c_0101_5^2 + c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB