Magma V2.19-8 Tue Aug 20 2013 23:42:55 on localhost [Seed = 2101024821] Type ? for help. Type -D to quit. Loading file "L13n6569__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6569 geometric_solution 9.58012176 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 -1 1 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 4 -3 0 0 -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 0.613521861956 0.542297795820 0 4 6 5 0132 2103 0132 0132 1 0 1 0 0 -1 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 4 -4 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 0.661897323798 0.783960077850 4 0 6 7 0321 0132 3201 0132 1 0 1 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 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 0.871521426662 1.222900087130 7 7 8 0 3201 0132 0132 0132 1 0 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 0 0 0 0 0 4 -4 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 1.084973086587 0.808800971946 2 1 0 9 0321 2103 0132 0132 1 0 1 0 0 0 -1 1 0 0 0 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 0 3 -3 1 0 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.086762464443 1.405654636832 8 9 1 9 1230 3120 0132 2103 1 0 1 1 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 -3 0 3 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489127673993 0.761599889988 2 10 9 1 2310 0132 2103 0132 1 0 0 1 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 -4 0 4 0 0 0 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 -0.448877510462 0.788548417883 10 3 2 3 0132 0132 0132 2310 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407547691047 0.441647824483 10 5 10 3 2310 3012 0132 0132 1 0 0 1 0 0 -1 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 4 -4 -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 0.613521861956 0.542297795820 6 5 4 5 2103 3120 0132 2103 1 0 1 1 0 0 -1 1 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 3 -3 0 0 0 0 0 3 0 -3 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449390251455 0.214324660760 7 6 8 8 0132 0132 3201 0132 1 0 1 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 4 0 -4 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 0.871521426662 1.222900087130 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), '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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_0011_8']), 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_8']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0101_0']), 's_3_1' : negation(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_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0011_4']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_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' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 657209/505*c_1001_5^4 - 19450142/1515*c_1001_5^3 + 22654029/505*c_1001_5^2 - 67326574/1515*c_1001_5 + 6594073/1515, c_0011_0 - 1, c_0011_10 + 22/505*c_1001_5^4 + 212/505*c_1001_5^3 - 857/505*c_1001_5^2 + 174/505*c_1001_5 + 257/505, c_0011_4 + 5/101*c_1001_5^4 + 39/101*c_1001_5^3 - 282/101*c_1001_5^2 + 416/101*c_1001_5 - 139/101, c_0011_5 - 96/505*c_1001_5^4 - 971/505*c_1001_5^3 + 3051/505*c_1001_5^2 - 2917/505*c_1001_5 + 669/505, c_0011_8 + 5/101*c_1001_5^4 + 39/101*c_1001_5^3 - 282/101*c_1001_5^2 + 416/101*c_1001_5 - 139/101, c_0101_0 - 22/505*c_1001_5^4 - 212/505*c_1001_5^3 + 857/505*c_1001_5^2 - 174/505*c_1001_5 - 257/505, c_0101_1 - 1, c_0101_10 + 22/505*c_1001_5^4 + 212/505*c_1001_5^3 - 857/505*c_1001_5^2 + 174/505*c_1001_5 + 257/505, c_0110_9 + 74/505*c_1001_5^4 + 759/505*c_1001_5^3 - 2194/505*c_1001_5^2 + 2238/505*c_1001_5 - 421/505, c_1001_0 - 3/505*c_1001_5^4 + 17/505*c_1001_5^3 + 553/505*c_1001_5^2 - 1906/505*c_1001_5 + 952/505, c_1001_5^5 + 9*c_1001_5^4 - 43*c_1001_5^3 + 64*c_1001_5^2 - 33*c_1001_5 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB