Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 3650635200] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s655 geometric_solution 5.14920692 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.898609170904 0.670713987151 0 0 3 2 0132 3201 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 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 0.226220117957 0.762468487794 4 5 1 3 0132 0132 0132 1302 0 0 0 0 0 -1 1 0 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479805749590 0.601657617839 5 4 2 1 3201 0132 2031 0132 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 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 0.479805749590 0.601657617839 2 3 4 4 0132 0132 1230 3012 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 0 0 0 0 0 1.189798485523 1.015960966676 5 2 5 3 2031 0132 1302 2310 0 0 0 0 0 1 -1 0 1 0 0 -1 -1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231594850592 1.229193997996 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0101_0'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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' : negation(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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 139/79*c_0101_1*c_0101_4^8 + 3367/237*c_0101_1*c_0101_4^7 + 9670/237*c_0101_1*c_0101_4^6 + 16477/237*c_0101_1*c_0101_4^5 + 22528/237*c_0101_1*c_0101_4^4 + 17603/237*c_0101_1*c_0101_4^3 + 3973/79*c_0101_1*c_0101_4^2 + 2354/79*c_0101_1*c_0101_4 + 1933/237*c_0101_1, c_0011_0 - 1, c_0011_2 + 161/237*c_0101_1*c_0101_4^8 + 908/237*c_0101_1*c_0101_4^7 + 1412/237*c_0101_1*c_0101_4^6 + 2114/237*c_0101_1*c_0101_4^5 + 1729/237*c_0101_1*c_0101_4^4 + 143/79*c_0101_1*c_0101_4^3 + 294/79*c_0101_1*c_0101_4^2 + 173/237*c_0101_1*c_0101_4 - 124/79*c_0101_1, c_0101_0 - 51/79*c_0101_1*c_0101_4^8 - 883/237*c_0101_1*c_0101_4^7 - 1465/237*c_0101_1*c_0101_4^6 - 2191/237*c_0101_1*c_0101_4^5 - 1753/237*c_0101_1*c_0101_4^4 - 470/237*c_0101_1*c_0101_4^3 - 142/79*c_0101_1*c_0101_4^2 - 18/79*c_0101_1*c_0101_4 + 407/237*c_0101_1, c_0101_1^2 - 35/237*c_0101_4^8 - 218/237*c_0101_4^7 - 410/237*c_0101_4^6 - 542/237*c_0101_4^5 - 448/237*c_0101_4^4 - 62/79*c_0101_4^3 - 33/79*c_0101_4^2 - 17/237*c_0101_4 - 28/79, c_0101_3 + 51/79*c_0101_4^8 + 883/237*c_0101_4^7 + 1465/237*c_0101_4^6 + 2191/237*c_0101_4^5 + 1753/237*c_0101_4^4 + 470/237*c_0101_4^3 + 142/79*c_0101_4^2 + 18/79*c_0101_4 - 170/237, c_0101_4^9 + 6*c_0101_4^8 + 11*c_0101_4^7 + 17*c_0101_4^6 + 15*c_0101_4^5 + 6*c_0101_4^4 + 4*c_0101_4^3 + c_0101_4^2 - c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB