Magma V2.19-8 Tue Aug 20 2013 23:48:47 on localhost [Seed = 3667701887] Type ? for help. Type -D to quit. Loading file "L12n1008__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1008 geometric_solution 11.21978462 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629036833223 1.096406863547 0 4 6 5 0132 0132 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 -1 0 0 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 -0.278125459789 0.867317483844 7 0 6 0 0132 0132 3120 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.629036833223 1.096406863547 8 4 7 0 0132 1230 0321 0132 0 1 1 1 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 3 -1 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 0.432924853545 0.467815090745 7 1 3 9 1023 0132 3012 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 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 0.276378004723 0.588992114158 9 10 1 7 3012 0132 0132 2103 1 1 0 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 -1 1 0 1 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454165408425 0.755869364985 11 11 2 1 0132 1302 3120 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506080136752 1.239886572093 2 4 3 5 0132 1023 0321 2103 0 1 1 1 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 -3 1 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 0.411885852895 0.972519366576 3 10 9 11 0132 1302 3012 0132 1 1 1 1 0 0 1 -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 0 2 -2 0 0 0 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.126435201968 0.937053698124 10 8 4 5 2310 1230 0132 1230 1 0 1 1 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 0 0 0 0 -3 0 0 3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447115752952 1.106509722223 11 5 9 8 1302 0132 3201 2031 1 1 1 0 0 0 -1 1 -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 0 0 0 0 0 -2 2 -3 0 3 0 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534494177881 0.365126706628 6 10 8 6 0132 2031 0132 2031 1 1 0 1 0 -1 1 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 -2 2 0 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277284368046 0.696066690518 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_5'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_9']), '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_0011_3']), 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : 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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_0101_6'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_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' : d['c_0101_2'], '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_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 192/77*c_1001_1^5 + 151/77*c_1001_1^4 + 1585/77*c_1001_1^3 + 1444/77*c_1001_1^2 - 7565/77*c_1001_1 + 4343/77, c_0011_0 - 1, c_0011_10 - 47/77*c_1001_1^5 - 125/77*c_1001_1^4 + 5/77*c_1001_1^3 + 499/77*c_1001_1^2 - 172/77*c_1001_1 - 43/77, c_0011_3 - 1/7*c_1001_1^5 - 4/7*c_1001_1^4 - 6/7*c_1001_1^3 + 6/7*c_1001_1^2 + 9/7*c_1001_1 + 4/7, c_0011_9 + 1/77*c_1001_1^5 - 17/77*c_1001_1^4 - 64/77*c_1001_1^3 - 27/77*c_1001_1^2 + 215/77*c_1001_1 - 4/77, c_0101_0 + 12/77*c_1001_1^5 + 27/77*c_1001_1^4 + 2/77*c_1001_1^3 - 93/77*c_1001_1^2 + 39/77*c_1001_1 + 29/77, c_0101_1 - 15/77*c_1001_1^5 - 53/77*c_1001_1^4 - 41/77*c_1001_1^3 + 97/77*c_1001_1^2 + 86/77*c_1001_1 + 60/77, c_0101_2 + 3/77*c_1001_1^5 + 26/77*c_1001_1^4 + 39/77*c_1001_1^3 - 4/77*c_1001_1^2 - 125/77*c_1001_1 - 12/77, c_0101_4 - 1, c_0101_6 + 2/11*c_1001_1^5 + 10/11*c_1001_1^4 + 15/11*c_1001_1^3 - 10/11*c_1001_1^2 - 32/11*c_1001_1 + 3/11, c_0101_9 - 17/77*c_1001_1^5 - 19/77*c_1001_1^4 + 87/77*c_1001_1^3 + 228/77*c_1001_1^2 - 267/77*c_1001_1 - 9/77, c_0110_5 + 31/77*c_1001_1^5 + 89/77*c_1001_1^4 + 18/77*c_1001_1^3 - 298/77*c_1001_1^2 + 43/77*c_1001_1 - 47/77, c_1001_1^6 + 2*c_1001_1^5 - 2*c_1001_1^4 - 11*c_1001_1^3 + 10*c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB