Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 3583265213] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s840 geometric_solution 5.42372666 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 1 0 -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 1 0 -1 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580604696804 1.337503030455 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 0 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 0.768936260215 0.871482649663 4 5 3 0 1023 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768936260215 0.871482649663 3 1 2 3 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613442640314 0.334366122241 4 2 1 4 3201 1023 0132 2310 0 0 0 0 0 0 0 0 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 0 0 0 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 0.454666505649 0.423862682407 5 2 5 1 2310 0132 3201 0132 0 0 0 0 0 -1 1 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 0.037898672783 1.383701733438 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_1']), '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_2']), 'c_0011_4' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], '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' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : 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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 64681804899/252446272*c_0101_3^11 - 3569199463/1009785088*c_0101_3^10 + 972053778537/4039140352*c_0101_3^9 - 176243935885/504892544*c_0101_3^8 - 271096691921/1009785088*c_0101_3^7 - 1957168861467/4039140352*c_0101_3^6 + 529384592613/4039140352*c_0101_3^5 + 465354196161/1009785088*c_0101_3^4 - 283966017669/4039140352*c_0101_3^3 - 448796091967/4039140352*c_0101_3^2 + 50644654285/4039140352*c_0101_3 + 37524477175/4039140352, c_0011_0 - 1, c_0011_2 - 11738768/303421*c_0101_3^11 - 2252588/303421*c_0101_3^10 - 6094363/303421*c_0101_3^9 + 13666720/303421*c_0101_3^8 + 21420346/303421*c_0101_3^7 + 18267549/303421*c_0101_3^6 - 5257015/303421*c_0101_3^5 - 32885816/303421*c_0101_3^4 + 139119/303421*c_0101_3^3 + 12224092/303421*c_0101_3^2 - 909353/303421*c_0101_3 - 1004203/303421, c_0101_0 + 6013344/303421*c_0101_3^11 + 9126328/303421*c_0101_3^10 + 4190862/303421*c_0101_3^9 - 967920/303421*c_0101_3^8 - 20052592/303421*c_0101_3^7 - 21233493/303421*c_0101_3^6 - 10814511/303421*c_0101_3^5 + 18833901/303421*c_0101_3^4 + 17918754/303421*c_0101_3^3 - 7847284/303421*c_0101_3^2 - 4163053/303421*c_0101_3 + 1464752/303421, c_0101_1 + 15049376/303421*c_0101_3^11 + 5233032/303421*c_0101_3^10 + 9979914/303421*c_0101_3^9 - 16449405/303421*c_0101_3^8 - 27714648/303421*c_0101_3^7 - 30113786/303421*c_0101_3^6 + 2212718/303421*c_0101_3^5 + 38973278/303421*c_0101_3^4 + 6765926/303421*c_0101_3^3 - 13980401/303421*c_0101_3^2 - 1599853/303421*c_0101_3 + 1960238/303421, c_0101_2 - 16*c_0101_3^11 + 4*c_0101_3^10 - 7*c_0101_3^9 + 23*c_0101_3^8 + 20*c_0101_3^7 + 13*c_0101_3^6 - 20*c_0101_3^5 - 41*c_0101_3^4 + 19*c_0101_3^3 + 18*c_0101_3^2 - 7*c_0101_3 - 2, c_0101_3^12 - 1/4*c_0101_3^11 + 7/16*c_0101_3^10 - 23/16*c_0101_3^9 - 5/4*c_0101_3^8 - 13/16*c_0101_3^7 + 5/4*c_0101_3^6 + 41/16*c_0101_3^5 - 19/16*c_0101_3^4 - 9/8*c_0101_3^3 + 1/2*c_0101_3^2 + 1/8*c_0101_3 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB