Magma V2.19-8 Tue Aug 20 2013 23:40:32 on localhost [Seed = 4190084462] Type ? for help. Type -D to quit. Loading file "L11a442__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a442 geometric_solution 9.74515044 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 2 2 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 -1 1 -1 0 1 0 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843163794682 0.786078595900 0 5 6 6 0132 0132 0213 0132 1 2 0 0 0 0 0 0 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 1 0 -1 1 0 -1 0 1 1 0 -2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975676136878 1.069296665376 3 0 7 3 1023 0132 0132 0132 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006427435754 0.599253696373 7 2 2 0 0132 1023 0132 0132 2 2 0 0 0 0 0 0 0 0 0 0 0 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 1 -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 0.006427435754 0.599253696373 8 9 0 10 0132 0132 0132 0132 2 2 2 0 0 1 0 -1 0 0 0 0 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 5 -1 -4 0 0 0 0 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960841213066 0.733839864989 7 1 9 9 1023 0132 1302 1023 1 2 0 0 0 0 -1 1 0 0 1 -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 -2 3 0 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975676136878 1.069296665376 8 1 1 9 3012 0213 0132 1302 1 2 2 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 1 -1 0 0 0 0 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021262359566 0.934710496759 3 5 8 2 0132 1023 3012 0132 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843163794682 0.786078595900 4 7 10 6 0132 1230 1230 1230 2 2 0 2 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072508973127 1.358825929394 5 4 6 5 2031 0132 2031 1023 2 1 0 2 0 -1 0 1 1 0 0 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 1 4 2 0 1 -3 -1 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021262359566 0.934710496759 10 10 4 8 1230 3012 0132 3012 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.342671523718 0.502032837194 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0110_9'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_10' : negation(d['1']), 's_0_8' : negation(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' : negation(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_0101_9']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_8']), 'c_1100_3' : negation(d['c_1001_8']), 'c_1100_2' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_1001_8']), 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_9'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10' : d['c_0011_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_10']})} 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_6, c_0101_0, c_0101_10, c_0101_2, c_0101_9, c_0110_5, c_0110_9, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 2668252871/1398518016*c_1001_8^6 - 1984676149/233086336*c_1001_8^5 - 12617237/43703688*c_1001_8^4 + 73933294945/1398518016*c_1001_8^3 + 26488140863/699259008*c_1001_8^2 + 16214752489/699259008*c_1001_8 - 950602525/466172672, c_0011_0 - 1, c_0011_10 - 807/5309*c_1001_8^6 - 4332/5309*c_1001_8^5 - 3442/5309*c_1001_8^4 + 22848/5309*c_1001_8^3 + 38417/5309*c_1001_8^2 + 27396/5309*c_1001_8 + 3956/5309, c_0011_4 + 506/5309*c_1001_8^6 + 3032/5309*c_1001_8^5 + 4066/5309*c_1001_8^4 - 11859/5309*c_1001_8^3 - 31614/5309*c_1001_8^2 - 32631/5309*c_1001_8 - 8921/5309, c_0011_6 - 506/5309*c_1001_8^6 - 3032/5309*c_1001_8^5 - 4066/5309*c_1001_8^4 + 11859/5309*c_1001_8^3 + 31614/5309*c_1001_8^2 + 32631/5309*c_1001_8 + 8921/5309, c_0101_0 - 1, c_0101_10 + 1030/5309*c_1001_8^6 + 5983/5309*c_1001_8^5 + 6472/5309*c_1001_8^4 - 27938/5309*c_1001_8^3 - 62506/5309*c_1001_8^2 - 47558/5309*c_1001_8 - 13312/5309, c_0101_2 - 279/5309*c_1001_8^6 - 1399/5309*c_1001_8^5 - 815/5309*c_1001_8^4 + 7011/5309*c_1001_8^3 + 10045/5309*c_1001_8^2 + 12274/5309*c_1001_8 + 4111/5309, c_0101_9 - 506/5309*c_1001_8^6 - 3032/5309*c_1001_8^5 - 4066/5309*c_1001_8^4 + 11859/5309*c_1001_8^3 + 31614/5309*c_1001_8^2 + 32631/5309*c_1001_8 + 14230/5309, c_0110_5 + 1, c_0110_9 - 1, c_1001_8^7 + 6*c_1001_8^6 + 8*c_1001_8^5 - 23*c_1001_8^4 - 62*c_1001_8^3 - 70*c_1001_8^2 - 39*c_1001_8 - 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB