Magma V2.19-8 Tue Aug 20 2013 23:44:08 on localhost [Seed = 2598174587] Type ? for help. Type -D to quit. Loading file "L14n193__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n193 geometric_solution 10.92939669 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3120 0132 1 0 1 1 0 0 0 0 1 0 -2 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 0 -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 0.557388523591 0.844977542510 0 4 0 5 0132 0132 3120 0132 1 0 1 1 0 -1 0 1 -1 0 2 -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 14 0 -14 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 0.557388523591 0.844977542510 5 0 7 6 1302 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384119617094 0.897151894290 5 4 0 5 0132 2031 0132 2103 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 1 -1 -1 0 1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456030663360 0.824634619877 3 1 8 9 1302 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 -14 0 14 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 0.384119617094 0.897151894290 3 2 1 3 0132 2031 0132 2103 1 0 1 1 0 1 -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 0 0 0 0 0 -15 14 1 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 0.456030663360 0.824634619877 8 9 2 10 1230 3120 0132 0132 1 1 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 0 0 -1 0 0 1 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371690093066 0.794458248489 10 9 8 2 0213 3012 3120 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 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 0.501988738873 1.253797310549 10 6 7 4 3120 3012 3120 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 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501988738873 1.253797310549 7 6 4 10 1230 3120 0132 3201 1 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 15 -14 -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 0.371690093066 0.794458248489 7 9 6 8 0213 2310 0132 3120 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 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 -0.035314075664 1.166427725723 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_7']), '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_0011_7'], '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' : 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' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0101_8']), 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0101_6']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : negation(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'], 's_1_7' : 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' : 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_7'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], '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_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_3']), '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0011_7']})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 108544/121*c_1001_0^4 - 209920/121*c_1001_0^3 - 170496/121*c_1001_0^2 - 56832/121*c_1001_0 + 2688/121, c_0011_0 - 1, c_0011_10 + 2*c_1001_0^2 + 2*c_1001_0 + 1, c_0011_3 - c_1001_0, c_0011_6 + 4*c_1001_0^3 + 6*c_1001_0^2 + 4*c_1001_0 + 1/2, c_0011_7 - 8*c_1001_0^4 - 16*c_1001_0^3 - 14*c_1001_0^2 - 5*c_1001_0 - 1/2, c_0101_0 - 1, c_0101_1 + 1, c_0101_6 - c_1001_0 - 1, c_0101_8 + 2*c_1001_0^2 + 2*c_1001_0 + 1, c_0101_9 - c_1001_0 - 1, c_1001_0^5 + 2*c_1001_0^4 + 2*c_1001_0^3 + 7/8*c_1001_0^2 + 3/16*c_1001_0 - 1/32 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 19945/2*c_1001_0^6 - 34244*c_1001_0^5 - 59684*c_1001_0^4 - 1039801/16*c_1001_0^3 - 1403943/32*c_1001_0^2 - 1166549/64*c_1001_0 - 108971/32, c_0011_0 - 1, c_0011_10 + 2*c_1001_0^2 + 2*c_1001_0 + 1, c_0011_3 - c_1001_0, c_0011_6 - 8*c_1001_0^6 - 32*c_1001_0^5 - 64*c_1001_0^4 - 77*c_1001_0^3 - 115/2*c_1001_0^2 - 101/4*c_1001_0 - 5, c_0011_7 - 16*c_1001_0^6 - 48*c_1001_0^5 - 72*c_1001_0^4 - 66*c_1001_0^3 - 35*c_1001_0^2 - 21/2*c_1001_0 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_6 + c_1001_0 + 1, c_0101_8 + 2*c_1001_0^2 + 2*c_1001_0 + 1, c_0101_9 + c_1001_0 + 1, c_1001_0^7 + 4*c_1001_0^6 + 8*c_1001_0^5 + 81/8*c_1001_0^4 + 135/16*c_1001_0^3 + 149/32*c_1001_0^2 + 25/16*c_1001_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB