Magma V2.19-8 Tue Aug 20 2013 23:41:59 on localhost [Seed = 1696792611] Type ? for help. Type -D to quit. Loading file "L12n617__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n617 geometric_solution 9.07078369 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 2310 0 1 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 -1 0 1 1 0 0 -1 8 1 0 -9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756647105816 0.477544657622 0 4 6 5 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 -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 -1 0 1 0 1 -1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647184560227 0.065445716612 0 0 3 4 3201 0132 0321 1230 0 1 0 1 0 0 0 0 -1 0 0 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 1 0 -1 9 0 -1 -8 -1 -1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847123930011 1.662357493124 5 7 2 0 0132 0132 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407672579312 0.531064757337 2 1 8 9 3012 0132 0132 0132 1 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 0 0 1 0 0 -1 8 0 0 -8 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705680545303 0.749215939545 3 10 1 6 0132 0132 0132 3120 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176167072899 0.903886046685 5 9 10 1 3120 0132 1023 0132 1 1 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 0 0 0 0 0 0 0 0 1 -1 0 8 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756647105816 0.477544657622 8 3 8 10 2031 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0.221931433143 1.129884595655 7 9 7 4 2031 2310 1302 0132 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 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 -0.305309521000 1.096288066437 10 6 4 8 3201 0132 0132 3201 1 0 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 0 1 -1 -1 1 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705680545303 0.749215939545 7 5 6 9 3201 0132 1023 2310 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 -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 1.792266790471 1.065847019175 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0110_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_0011_8']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0110_9']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_0101_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_9, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 84621417472/465031385*c_1001_1^7 - 18433637044/66433055*c_1001_1^6 - 165147963796/465031385*c_1001_1^5 + 4899758195/13286611*c_1001_1^4 + 7842470264/3207113*c_1001_1^3 - 84054676588/16035565*c_1001_1^2 + 122047980031/66433055*c_1001_1 + 1163531297193/465031385, c_0011_0 - 1, c_0011_10 + 224116/474425*c_1001_1^7 - 53684/67775*c_1001_1^6 - 413823/474425*c_1001_1^5 + 85326/67775*c_1001_1^4 + 3102388/474425*c_1001_1^3 - 7139294/474425*c_1001_1^2 + 359574/67775*c_1001_1 + 3546948/474425, c_0011_6 - 4624/94885*c_1001_1^7 + 1264/13555*c_1001_1^6 + 6472/94885*c_1001_1^5 - 2068/13555*c_1001_1^4 - 41939/94885*c_1001_1^3 + 169023/94885*c_1001_1^2 - 1826/2711*c_1001_1 - 101968/94885, c_0011_8 + 197912/474425*c_1001_1^7 - 41568/67775*c_1001_1^6 - 437886/474425*c_1001_1^5 + 41722/67775*c_1001_1^4 + 2684161/474425*c_1001_1^3 - 5327828/474425*c_1001_1^2 + 260683/67775*c_1001_1 + 2644521/474425, c_0101_0 + 304264/474425*c_1001_1^7 - 59796/67775*c_1001_1^6 - 586742/474425*c_1001_1^5 + 70309/67775*c_1001_1^4 + 3971367/474425*c_1001_1^3 - 8114691/474425*c_1001_1^2 + 397476/67775*c_1001_1 + 4059912/474425, c_0101_1 - 1, c_0101_10 + 13288/474425*c_1001_1^7 - 3032/67775*c_1001_1^6 - 54714/474425*c_1001_1^5 + 2078/67775*c_1001_1^4 + 263964/474425*c_1001_1^3 + 27478/474425*c_1001_1^2 - 22608/67775*c_1001_1 - 19471/474425, c_0101_4 - 304264/474425*c_1001_1^7 + 59796/67775*c_1001_1^6 + 586742/474425*c_1001_1^5 - 70309/67775*c_1001_1^4 - 3971367/474425*c_1001_1^3 + 8114691/474425*c_1001_1^2 - 397476/67775*c_1001_1 - 3585487/474425, c_0101_9 + 304264/474425*c_1001_1^7 - 59796/67775*c_1001_1^6 - 586742/474425*c_1001_1^5 + 70309/67775*c_1001_1^4 + 3971367/474425*c_1001_1^3 - 8114691/474425*c_1001_1^2 + 397476/67775*c_1001_1 + 4059912/474425, c_0110_9 + 91188/474425*c_1001_1^7 - 29392/67775*c_1001_1^6 - 155539/474425*c_1001_1^5 + 52583/67775*c_1001_1^4 + 1287254/474425*c_1001_1^3 - 3458537/474425*c_1001_1^2 + 200222/67775*c_1001_1 + 1696074/474425, c_1001_1^8 - c_1001_1^7 - 11/4*c_1001_1^6 + c_1001_1^5 + 29/2*c_1001_1^4 - 87/4*c_1001_1^3 - 5*c_1001_1^2 + 19*c_1001_1 + 29/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB