Magma V2.19-8 Tue Aug 20 2013 23:48:43 on localhost [Seed = 863328658] Type ? for help. Type -D to quit. Loading file "L12a1603__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1603 geometric_solution 10.68447717 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3120 0132 1 2 1 1 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 1 3 -4 5 0 -4 -1 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371016978224 0.787901140047 0 4 0 5 0132 0132 3120 0132 1 2 1 1 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 0 -1 1 -5 0 4 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371016978224 0.787901140047 6 0 6 7 0132 0132 3120 0132 1 0 1 1 0 0 0 0 -1 0 1 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 -1 1 0 -2 0 1 1 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481380344054 1.427542154138 5 8 0 5 0132 0132 0132 2103 1 2 1 1 0 0 1 -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 0 4 -4 -1 0 1 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 0.510816814204 1.038841919380 6 1 9 10 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023314211710 0.580467221222 3 10 1 3 0132 2031 0132 2103 1 2 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 1 0 -1 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510816814204 1.038841919380 2 4 2 8 0132 1023 3120 3120 1 0 1 1 0 0 -1 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 -3 3 2 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 0.481380344054 1.427542154138 8 10 2 8 3120 3120 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 0 0 0 1 0 -1 0 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787901140047 0.628983021776 6 3 7 7 3120 0132 0132 3120 1 0 1 1 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 0 -1 0 4 0 -4 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224817929667 0.618829363536 10 11 11 4 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066026732904 1.188132760980 5 7 4 9 1302 3120 0132 2310 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023314211710 0.580467221222 9 9 11 11 2310 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.054369627049 0.397899150369 ==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_1001_0']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_11']), '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_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_2']), '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_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], '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' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], '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_2'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), '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_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_6'])})} 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_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 12267063/83200*c_1001_0^7 - 1174821/26000*c_1001_0^6 + 9086339/83200*c_1001_0^5 + 1842099/10400*c_1001_0^4 - 2310881/416000*c_1001_0^3 - 2859729/52000*c_1001_0^2 - 17521411/416000*c_1001_0 - 525277/26000, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 45/16*c_1001_0^7 + 237/64*c_1001_0^6 - 1/2*c_1001_0^5 - 385/64*c_1001_0^4 - 29/16*c_1001_0^3 + 159/64*c_1001_0^2 + 3*c_1001_0 + 45/64, c_0011_3 - c_1001_0, c_0011_7 + 225/32*c_1001_0^7 + 75/16*c_1001_0^6 - 151/32*c_1001_0^5 - 39/4*c_1001_0^4 - 25/32*c_1001_0^3 + 51/16*c_1001_0^2 + 63/32*c_1001_0 - 3/8, c_0101_0 - 1, c_0101_1 + 1035/64*c_1001_0^7 + 519/64*c_1001_0^6 - 679/64*c_1001_0^5 - 1463/64*c_1001_0^4 - 127/64*c_1001_0^3 + 445/64*c_1001_0^2 + 403/64*c_1001_0 + 91/64, c_0101_11 - 45/16*c_1001_0^4 - 3*c_1001_0^3 - 5/8*c_1001_0^2 + 3/2*c_1001_0 + 11/16, c_0101_2 - 1, c_0101_6 - 45/8*c_1001_0^7 + 33/32*c_1001_0^6 + 115/16*c_1001_0^5 + 169/32*c_1001_0^4 - 9/2*c_1001_0^3 - 89/32*c_1001_0^2 - 5/16*c_1001_0 - 1/32, c_0101_9 + 45/64*c_1001_0^7 + 3/4*c_1001_0^6 + 115/64*c_1001_0^5 + c_1001_0^4 - 57/64*c_1001_0^3 - 7/8*c_1001_0^2 + 33/64*c_1001_0 + 3/8, c_1001_0^8 + 16/15*c_1001_0^7 - 4/9*c_1001_0^6 - 16/9*c_1001_0^5 - 14/15*c_1001_0^4 + 16/45*c_1001_0^3 + 28/45*c_1001_0^2 + 16/45*c_1001_0 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB