Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 3600239294] 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' : d['1'], 's_3_0' : 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' : 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' : 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: 9 Groebner basis: [ t - 1359/91*c_0101_3^8 + 6730/91*c_0101_3^7 + 12/13*c_0101_3^6 - 27191/91*c_0101_3^5 - 7367/91*c_0101_3^4 + 7907/13*c_0101_3^3 - 16455/91*c_0101_3^2 - 1705/13*c_0101_3 + 4479/91, c_0011_0 - 1, c_0011_2 - 8*c_0101_3^8 + 40*c_0101_3^7 - 2*c_0101_3^6 - 158*c_0101_3^5 - 32*c_0101_3^4 + 320*c_0101_3^3 - 131*c_0101_3^2 - 66*c_0101_3 + 34, c_0101_0 - 20*c_0101_3^8 + 84*c_0101_3^7 + 59*c_0101_3^6 - 335*c_0101_3^5 - 337*c_0101_3^4 + 480*c_0101_3^3 - 2*c_0101_3^2 - 97*c_0101_3 + 18, c_0101_1 - 17*c_0101_3^8 + 72*c_0101_3^7 + 48*c_0101_3^6 - 288*c_0101_3^5 - 278*c_0101_3^4 + 424*c_0101_3^3 - 7*c_0101_3^2 - 87*c_0101_3 + 16, c_0101_2 - c_0101_3^8 + 4*c_0101_3^7 + 4*c_0101_3^6 - 17*c_0101_3^5 - 21*c_0101_3^4 + 24*c_0101_3^3 + 9*c_0101_3^2 - 8*c_0101_3 - 1, c_0101_3^9 - 4*c_0101_3^8 - 4*c_0101_3^7 + 17*c_0101_3^6 + 21*c_0101_3^5 - 24*c_0101_3^4 - 9*c_0101_3^3 + 9*c_0101_3^2 + c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB