Magma V2.19-8 Wed Aug 21 2013 00:57:32 on localhost [Seed = 3364803079] Type ? for help. Type -D to quit. Loading file "L13n4356__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4356 geometric_solution 12.19796755 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 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 0 0 0 0 1 -1 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 0.601603444983 1.261914710321 0 4 4 3 0132 0132 1302 3201 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681529532379 1.043475600397 0 0 4 5 3012 0132 0132 0132 1 1 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 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227505858798 0.720621165734 5 1 6 0 1302 2310 0132 0132 1 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 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 -0.071313670264 0.440611901156 1 1 7 2 2031 0132 0132 0132 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 0 0 0 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 0.561244398442 0.671769516964 6 3 2 8 2031 2031 0132 0132 1 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703033326964 0.666121868554 9 10 5 3 0132 0132 1302 0132 1 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 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 0.342562406288 0.762670135117 8 10 11 4 1302 3201 0132 0132 1 1 1 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 -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 0.071228578020 1.161384094547 12 7 5 11 0132 2031 0132 0132 1 1 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 0 0 0 0 0 0 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905517279674 1.301730055409 6 10 12 11 0132 3012 2310 1230 1 1 1 1 0 0 0 0 0 0 1 -1 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 -1 0 2 -1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.324399759700 0.959031900902 9 6 7 12 1230 0132 2310 1023 1 1 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 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 0 0 0 0 0.887388769004 0.823928672160 9 12 8 7 3012 1230 0132 0132 1 1 1 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 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517616084367 0.669149071254 8 9 11 10 0132 3201 3012 1023 1 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304992665142 0.899699469298 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_3'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_8'], 's_3_11' : 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' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_11'], 'c_1100_4' : d['c_1100_11'], 'c_1100_7' : d['c_1100_11'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1100_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0011_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : d['c_1100_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['c_0011_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_0011_10'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_10, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 530469/1463*c_1001_10^2*c_1100_11 - 446634/1463*c_1001_10^2 - 19035/209*c_1001_10*c_1100_11 - 166860/209*c_1001_10 + 885492/1463*c_1100_11 + 194562/1463, c_0011_0 - 1, c_0011_10 + c_1001_10^2*c_1100_11 - c_1001_10^2 + 4*c_1001_10*c_1100_11 + 2*c_1001_10 + c_1100_11 + 2, c_0011_11 - c_1001_10*c_1100_11 - c_1001_10 - 1, c_0011_12 - c_1001_10^2*c_1100_11 + c_1001_10^2 - 5*c_1001_10*c_1100_11 - 3*c_1001_10 - 2/3*c_1100_11 - 10/3, c_0011_3 - c_1001_10 + c_1100_11 + 1, c_0011_7 + 2*c_1001_10^2*c_1100_11 + c_1001_10^2 + 2*c_1001_10*c_1100_11 + 5*c_1001_10 - 8/3*c_1100_11 + 2/3, c_0101_0 - 1, c_0101_10 + c_1001_10^2*c_1100_11 - c_1001_10^2 + 5*c_1001_10*c_1100_11 + 3*c_1001_10 + 2/3*c_1100_11 + 10/3, c_0101_2 + c_1100_11 + 1, c_0101_5 + c_1100_11, c_0101_8 + c_1001_10*c_1100_11 + c_1001_10 - c_1100_11 + 1, c_1001_10^3 - 11/3*c_1001_10^2*c_1100_11 - 1/3*c_1001_10^2 - 11/3*c_1001_10*c_1100_11 - 5*c_1001_10 + 11/9*c_1100_11 - 11/9, c_1100_11^2 + c_1100_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.590 Total time: 0.800 seconds, Total memory usage: 32.09MB