Magma V2.19-8 Tue Aug 20 2013 20:56:48 on localhost [Seed = 3869287658] Type ? for help. Type -D to quit. Loading file "11_8__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_8 geometric_solution 14.43413950 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 15 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 -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 0 1 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874360148007 0.604919913288 0 2 6 5 0132 0213 0132 0132 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624125482036 0.752987654580 7 0 1 8 0132 0132 0213 0132 0 0 0 0 0 0 0 0 1 0 -1 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 7 0 -6 -1 0 6 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478618638014 0.544978909614 7 7 9 0 3012 0132 0132 0132 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 0 1 1 0 0 -1 -7 7 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522193427546 0.674717885436 10 11 0 12 0132 0132 0132 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 1 -1 0 0 0 1 -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 0.736106851240 1.287289718861 7 13 1 10 2031 0132 0132 2031 0 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 0 0 0 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541276349103 1.224769300307 9 11 9 1 0132 0321 3012 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 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 0.048434837846 0.905831633084 2 3 5 3 0132 0132 1302 1230 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 1 0 -1 -7 0 0 7 -1 1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282632555918 0.926899151577 13 10 2 12 0213 0213 0132 0213 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 1 -1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497683779137 1.344609062806 6 6 10 3 0132 1230 0132 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 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 0.551310075196 0.524813355524 4 5 8 9 0132 1302 0213 0132 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 1 -7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624681837569 1.010180601331 14 4 14 6 0132 0132 3120 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316421745943 0.697855915852 14 13 4 8 3012 0321 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884677106957 0.781318244246 8 5 14 12 0213 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062348935104 1.206634079655 11 13 11 12 0132 1230 3120 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.316421745943 0.697855915852 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_1001_11']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0110_5'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0110_5'], 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_9'], 'c_1010_14' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_8'], 'c_0101_14' : negation(d['c_0011_6']), '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_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_9']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : d['c_1001_5'], 'c_1100_14' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1010_8'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_1010_8'], 'c_1100_13' : d['c_1001_11'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_1001_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], '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_1010_8'], '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' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0101_13' : d['c_0011_8'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0110_14' : d['c_0011_12'], 'c_0101_12' : d['c_0011_8'], 'c_0011_7' : d['c_0011_0'], 's_3_12' : d['1'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0011_13'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0011_13'], 's_1_14' : d['1'], '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_0101_3'], 'c_0110_8' : d['c_0011_12'], '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_0011_13'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0110_5, c_1001_1, c_1001_11, c_1001_5, c_1001_9, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 15625076/17470475*c_1010_8^5 - 62846629/34940950*c_1010_8^4 + 6900347/3176450*c_1010_8^3 - 158434359/34940950*c_1010_8^2 - 31310354/17470475*c_1010_8 + 108117941/34940950, c_0011_0 - 1, c_0011_10 - c_1010_8^5 - c_1010_8^4 - 2*c_1010_8^3 - c_1010_8^2 + c_1010_8 + 2, c_0011_12 + c_1010_8^5 + 3*c_1010_8^3 - c_1010_8, c_0011_13 - c_1010_8^5 - 2*c_1010_8^3 + 3*c_1010_8, c_0011_6 + c_1010_8^4 + 3*c_1010_8^2 - 2, c_0011_8 + 2*c_1010_8^5 + 5*c_1010_8^3 - 3*c_1010_8, c_0101_0 + 3*c_1010_8^5 + 8*c_1010_8^3 + c_1010_8^2 - 5*c_1010_8, c_0101_1 + 2*c_1010_8^4 + 5*c_1010_8^2 + c_1010_8 - 3, c_0101_3 - c_1010_8^4 - 3*c_1010_8^2 + 2, c_0110_5 + c_1010_8^5 + 3*c_1010_8^3 + c_1010_8^2 - 2*c_1010_8, c_1001_1 + c_1010_8, c_1001_11 - c_1010_8^5 - 2*c_1010_8^3 + c_1010_8^2 + c_1010_8, c_1001_5 + c_1010_8^5 + 3*c_1010_8^3 + c_1010_8^2 - 2*c_1010_8 - 1, c_1001_9 + 2*c_1010_8^4 + 5*c_1010_8^2 + 2*c_1010_8 - 3, c_1010_8^6 + 2*c_1010_8^4 - 3*c_1010_8^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 33.340 Total time: 33.549 seconds, Total memory usage: 237.41MB