Magma V2.19-8 Tue Aug 20 2013 17:58:57 on localhost [Seed = 3482221384] Type ? for help. Type -D to quit. Loading file "10^2_19__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_19 geometric_solution 12.76261843 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 9 1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.239639573869 0.996681625678 0 3 4 5 0132 3120 2310 0132 1 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 -1 0 1 0 0 0 0 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713892534593 1.496510554012 6 0 7 6 0132 0132 0132 2031 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 -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 0.199627004422 1.057175778519 8 1 9 0 0132 3120 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 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 -10 0 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320467669038 1.070146723391 7 1 0 9 1230 3201 0132 0132 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 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 -0.319002012074 0.463639786148 10 11 1 7 0132 0132 0132 3012 1 0 1 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 0 -1 1 0 0 0 0 0 1 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004586947346 0.712130590425 2 2 12 10 0132 1302 0132 3012 1 1 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827531828848 0.913349241682 12 4 5 2 2031 3012 1230 0132 0 1 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 0 0 0 0 0 0 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 0.272009348130 0.535355484625 3 11 13 11 0132 1302 0132 1230 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 1 0 0 -1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445049006692 0.768576903908 10 11 4 3 1230 1230 0132 0132 0 0 1 1 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 -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 -0.000000000000 1.000000000000 5 9 6 13 0132 3012 1230 3120 1 0 0 1 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 -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 0.874839527176 1.195307196215 8 5 9 8 3012 0132 3012 2031 1 0 0 1 0 0 0 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 -1 0 1 0 -1 -9 0 10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435774831672 0.974388048193 13 13 7 6 1302 3201 1302 0132 1 1 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 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 0.617517177844 0.855227662226 10 12 12 8 3120 2031 2310 0132 0 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 -1 0 1 -1 0 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 0.435774831672 0.974388048193 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_13' : negation(d['c_0101_6']), 'c_1001_12' : negation(d['c_0101_13']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0011_12'], 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0011_13']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_12'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_13']), 'c_1100_13' : d['c_0011_12'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_9']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_13'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], 's_1_7' : d['1'], 's_1_6' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_13'], '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_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : d['c_0101_0'], 'c_0110_12' : d['c_0101_6'], 'c_1010_4' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_13']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0101_13']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_13'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_13'], 'c_0110_7' : negation(d['c_0101_13']), 'c_0110_6' : negation(d['c_0101_13'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 285/51272*c_0101_13*c_1100_0^3 - 2571/25636*c_0101_13*c_1100_0^2 + 2187/25636*c_0101_13*c_1100_0 - 1229/6409*c_0101_13 + 1099/12818*c_1100_0^3 - 5141/25636*c_1100_0^2 + 167/884*c_1100_0 - 3885/12818, c_0011_0 - 1, c_0011_10 - c_0101_13*c_1100_0 + 1/2*c_1100_0^3 - 1/2*c_1100_0^2 + 1, c_0011_12 - 1/4*c_0101_13*c_1100_0^3 + c_0101_13*c_1100_0^2 - 3/2*c_0101_13*c_1100_0 + 2*c_0101_13 - 1/2*c_1100_0^2 + 1/2*c_1100_0, c_0011_13 - c_0101_13*c_1100_0 + 1/2*c_1100_0^3 - 3/2*c_1100_0^2 + 2*c_1100_0 - 1, c_0011_3 - c_0101_13 + c_1100_0^2 - 2*c_1100_0 + 2, c_0011_4 - 1/4*c_0101_13*c_1100_0^3 + c_0101_13*c_1100_0^2 - c_0101_13*c_1100_0 + 1/2*c_1100_0^2 - 2*c_1100_0 + 3, c_0011_9 - 1/4*c_1100_0^3 + c_1100_0^2 - c_1100_0, c_0101_0 + 1/2*c_1100_0^3 - 3/2*c_1100_0^2 + 2*c_1100_0 - 1, c_0101_1 - 1/4*c_1100_0^3 + c_1100_0^2 - c_1100_0, c_0101_10 - c_0101_13 - 1/4*c_1100_0^3 + c_1100_0^2 - c_1100_0, c_0101_11 + 1, c_0101_13^2 - c_0101_13*c_1100_0^2 + 2*c_0101_13*c_1100_0 - 2*c_0101_13 + 3/20*c_1100_0^3 - 1/5*c_1100_0^2 - 1/5, c_0101_6 + 1, c_1100_0^4 - 4*c_1100_0^3 + 8*c_1100_0^2 - 8*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB