Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 3297073324] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s841 geometric_solution 5.42482828 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 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 1 -1 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 0.756023767088 0.876976219278 0 4 2 5 0132 0132 2031 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 1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358378170219 0.946473793578 3 0 5 1 0132 0132 2103 1302 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 0 0 0 0 0 -1 1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.257301519848 0.953444204887 2 5 0 0 0132 1302 1230 0132 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 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756023767088 0.876976219278 4 1 4 5 2031 0132 1302 2031 0 0 0 0 0 0 1 -1 -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 1 -1 -1 0 0 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 0.457182690288 0.263587768745 2 4 1 3 2103 1302 0132 2031 0 0 0 0 0 -1 1 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 1 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 0.650105906006 0.924067418198 ==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' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(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_4' : negation(d['1']), 's_0_5' : 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_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_5'], '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_0011_5']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0011_5']})} 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_5, c_0101_0, c_0101_1, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1423/134*c_1001_0^7 + 5543/134*c_1001_0^6 + 2871/134*c_1001_0^5 - 13443/134*c_1001_0^4 + 13103/67*c_1001_0^3 - 24355/134*c_1001_0^2 + 5665/67*c_1001_0 - 925/67, c_0011_0 - 1, c_0011_5 - 84/67*c_1001_0^7 + 274/67*c_1001_0^6 + 383/67*c_1001_0^5 - 678/67*c_1001_0^4 + 935/67*c_1001_0^3 - 547/67*c_1001_0^2 - 181/67*c_1001_0 + 103/67, c_0101_0 - c_1001_0, c_0101_1 + 121/67*c_1001_0^7 - 425/67*c_1001_0^6 - 452/67*c_1001_0^5 + 1125/67*c_1001_0^4 - 1630/67*c_1001_0^3 + 1103/67*c_1001_0^2 + 102/67*c_1001_0 - 205/67, c_0110_4 - 11/67*c_1001_0^7 + 63/67*c_1001_0^6 - 32/67*c_1001_0^5 - 218/67*c_1001_0^4 + 270/67*c_1001_0^3 - 417/67*c_1001_0^2 + 143/67*c_1001_0 + 43/67, c_1001_0^8 - 4*c_1001_0^7 - 2*c_1001_0^6 + 11*c_1001_0^5 - 18*c_1001_0^4 + 16*c_1001_0^3 - 4*c_1001_0^2 - 2*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB