Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 2446331277] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s697 geometric_solution 5.20131347 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510750086609 0.403138950607 3 4 2 0 0132 0132 2031 0132 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 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 0.593498436857 0.627713362246 4 3 0 1 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593498436857 0.627713362246 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 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002018106874 1.213365014072 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.204707621879 0.841140635993 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 1 -1 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 0.579482035615 0.299389023157 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : 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' : negation(d['c_0011_1']), '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' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], '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' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 174889919/29725344*c_0101_4*c_0101_5^7 + 47618947/2477112*c_0101_4*c_0101_5^6 - 760871095/29725344*c_0101_4*c_0101_5^5 + 56413337/412852*c_0101_4*c_0101_5^4 - 1005286685/4954224*c_0101_4*c_0101_5^3 - 9465900599/29725344*c_0101_4*c_0101_5^2 - 535769871/3302816*c_0101_4*c_0101_5 - 414431939/9908448*c_0101_4, c_0011_0 - 1, c_0011_1 + 3911/30708*c_0101_4*c_0101_5^7 + 1048/7677*c_0101_4*c_0101_5^6 - 40211/30708*c_0101_4*c_0101_5^5 + 35425/7677*c_0101_4*c_0101_5^4 - 181301/15354*c_0101_4*c_0101_5^3 + 206869/30708*c_0101_4*c_0101_5^2 + 126941/30708*c_0101_4*c_0101_5 + 54535/30708*c_0101_4, c_0101_1 - 68/853*c_0101_5^7 - 577/2559*c_0101_5^6 + 1073/2559*c_0101_5^5 - 5305/2559*c_0101_5^4 + 10235/2559*c_0101_5^3 + 1767/853*c_0101_5^2 + 7963/2559*c_0101_5 + 1384/2559, c_0101_2 + 8003/10236*c_0101_4*c_0101_5^7 + 5083/2559*c_0101_4*c_0101_5^6 - 16681/3412*c_0101_4*c_0101_5^5 + 55342/2559*c_0101_4*c_0101_5^4 - 216841/5118*c_0101_4*c_0101_5^3 - 133235/10236*c_0101_4*c_0101_5^2 - 91243/10236*c_0101_4*c_0101_5 - 121/10236*c_0101_4, c_0101_4^2 + 6148/7677*c_0101_5^7 + 16670/7677*c_0101_5^6 - 36619/7677*c_0101_5^5 + 160313/7677*c_0101_5^4 - 303203/7677*c_0101_5^3 - 188308/7677*c_0101_5^2 - 68162/7677*c_0101_5 - 4663/7677, c_0101_5^8 + 3*c_0101_5^7 - 5*c_0101_5^6 + 25*c_0101_5^5 - 42*c_0101_5^4 - 39*c_0101_5^3 - 24*c_0101_5^2 - 6*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB