Magma V2.19-8 Tue Aug 20 2013 17:58:33 on localhost [Seed = 4038149208] Type ? for help. Type -D to quit. Loading file "10^3_44__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_44 geometric_solution 12.00595117 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 2 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 -1 1 0 -1 0 1 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.179975199083 1.085742525756 0 2 4 5 0132 0213 0213 0132 1 0 0 2 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 0 0 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 0.541076090347 0.422274303039 4 0 1 6 0213 0132 0213 0132 1 0 0 2 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 0 -1 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 0.442950772158 0.586482859555 5 7 8 0 0132 0132 0132 0132 1 0 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 1 -1 0 0 1 -1 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167050952503 0.538912172013 2 1 0 7 0213 0213 0132 0132 1 0 0 2 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 0 0 0 0 0 0 0 0 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442950772158 0.586482859555 3 9 1 6 0132 0132 0132 0321 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 -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 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920392134846 1.449533228019 10 5 2 8 0132 0321 0132 3120 1 0 1 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 1 -1 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.179975199083 1.085742525756 10 3 4 11 3201 0132 0132 0132 1 0 1 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358072445524 0.803308528111 6 9 11 3 3120 1230 0132 0132 1 0 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 0 -1 0 0 1 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277993362834 1.780190528975 12 5 8 11 0132 0132 3012 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 0 0 0 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 0.557228774043 0.474467815991 6 12 12 7 0132 1230 2310 2310 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601849419863 1.114194817038 9 12 7 8 3201 1302 0132 0132 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 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676143942971 0.665995711938 9 10 10 11 0132 3201 3012 2031 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 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 0.601849419863 1.114194817038 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : 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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : d['c_1100_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' : negation(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'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_12'], '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' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_8, c_0101_0, c_0101_11, c_0101_6, c_0101_8, c_0101_9, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 38925092651/42762752*c_1100_0^7 - 44270244905/85525504*c_1100_0^6 + 49021011671/21381376*c_1100_0^5 - 310372280797/342102016*c_1100_0^4 + 1271479925085/684204032*c_1100_0^3 - 879178614361/1368408064*c_1100_0^2 + 186802410975/342102016*c_1100_0 - 276968590265/1368408064, c_0011_0 - 1, c_0011_10 + 12*c_1100_0^7 - 10*c_1100_0^6 + 28*c_1100_0^5 - 29/2*c_1100_0^4 + 81/4*c_1100_0^3 - 53/8*c_1100_0^2 + 23/4*c_1100_0 - 7/8, c_0011_11 + 2*c_1100_0^7 + c_1100_0^6 + 6*c_1100_0^5 + 17/4*c_1100_0^4 + 51/8*c_1100_0^3 + 49/16*c_1100_0^2 + 19/8*c_1100_0 - 1/16, c_0011_12 - 6*c_1100_0^7 - 3*c_1100_0^6 - 18*c_1100_0^5 - 19/4*c_1100_0^4 - 137/8*c_1100_0^3 - 19/16*c_1100_0^2 - 41/8*c_1100_0 + 19/16, c_0011_8 - 2*c_1100_0^7 - c_1100_0^6 - 14*c_1100_0^5 - 1/4*c_1100_0^4 - 147/8*c_1100_0^3 + 15/16*c_1100_0^2 - 55/8*c_1100_0 + 25/16, c_0101_0 - 1, c_0101_11 + 2*c_1100_0^7 + c_1100_0^6 + 6*c_1100_0^5 + 17/4*c_1100_0^4 + 35/8*c_1100_0^3 + 49/16*c_1100_0^2 + 11/8*c_1100_0 - 1/16, c_0101_6 + 4/17*c_1100_0^7 - 6/17*c_1100_0^6 + 16/17*c_1100_0^5 - 39/34*c_1100_0^4 + 111/68*c_1100_0^3 - 243/136*c_1100_0^2 + 33/17*c_1100_0 - 135/136, c_0101_8 + c_1100_0, c_0101_9 - 18*c_1100_0^7 + 7*c_1100_0^6 - 38*c_1100_0^5 + 39/4*c_1100_0^4 - 203/8*c_1100_0^3 + 87/16*c_1100_0^2 - 47/8*c_1100_0 + 17/16, c_1001_0 - 1, c_1001_1 + c_1100_0 + 1, c_1100_0^8 - 1/2*c_1100_0^7 + 5/2*c_1100_0^6 - 7/8*c_1100_0^5 + 33/16*c_1100_0^4 - 21/32*c_1100_0^3 + 21/32*c_1100_0^2 - 7/32*c_1100_0 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB