Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 2480017222] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1241 geometric_solution 5.13794120 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 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 0.773301174242 1.467711508710 0 3 5 5 0132 2031 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719021472361 0.533292114966 6 0 6 4 0132 0132 1023 2031 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719021472361 0.533292114966 1 4 5 0 1302 3012 2031 0132 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 1 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 -0.664741770479 0.401127278779 3 2 0 5 1230 1302 0132 2031 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 1 -1 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 0.335258229521 0.401127278779 1 4 1 3 2310 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102784715200 0.665456951153 2 6 2 6 0132 1302 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567731743841 0.136797606405 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(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' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_1010_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_6, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 31/36*c_0101_2*c_1010_5^6 + 316/63*c_0101_2*c_1010_5^5 - 401/84*c_0101_2*c_1010_5^4 + 223/21*c_0101_2*c_1010_5^3 + 61/42*c_0101_2*c_1010_5^2 - 319/36*c_0101_2*c_1010_5 + 1007/252*c_0101_2, c_0011_0 - 1, c_0011_3 + 10/21*c_0101_2*c_1010_5^6 - 17/7*c_0101_2*c_1010_5^5 + 17/21*c_0101_2*c_1010_5^4 - 104/21*c_0101_2*c_1010_5^3 - 95/21*c_0101_2*c_1010_5^2 + 85/21*c_0101_2*c_1010_5 - 11/7*c_0101_2, c_0011_4 - 2/21*c_0101_2*c_1010_5^6 + 13/21*c_0101_2*c_1010_5^5 - 16/21*c_0101_2*c_1010_5^4 + 6/7*c_0101_2*c_1010_5^3 - 16/21*c_0101_2*c_1010_5^2 - 52/21*c_0101_2*c_1010_5 + 22/21*c_0101_2, c_0101_0 + 1/21*c_1010_5^6 - 1/3*c_1010_5^5 + 2/3*c_1010_5^4 - 25/21*c_1010_5^3 + 2/7*c_1010_5^2 + 4/7*c_1010_5 - 31/21, c_0101_2^2 - 2/21*c_1010_5^6 + 13/21*c_1010_5^5 - 16/21*c_1010_5^4 + 6/7*c_1010_5^3 - 16/21*c_1010_5^2 - 52/21*c_1010_5 - 20/21, c_0101_6 - 2/21*c_1010_5^6 + 13/21*c_1010_5^5 - 16/21*c_1010_5^4 + 6/7*c_1010_5^3 - 16/21*c_1010_5^2 - 52/21*c_1010_5 + 1/21, c_1010_5^7 - 5*c_1010_5^6 + c_1010_5^5 - 9*c_1010_5^4 - 12*c_1010_5^3 + 7*c_1010_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB