Magma V2.19-8 Tue Aug 20 2013 23:39:00 on localhost [Seed = 2884489165] Type ? for help. Type -D to quit. Loading file "K12n562__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n562 geometric_solution 10.21319044 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1302 0132 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 1 -1 0 1 0 0 -1 0 0 0 0 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564594060768 0.567622543415 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.102522286025 1.106434500752 0 0 5 7 2031 0132 0132 0132 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 -1 1 0 1 0 -1 0 -6 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119145546356 0.885579357097 8 8 0 9 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.783189695150 1.341152067607 5 1 10 9 0213 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.645561060716 0.443763454526 4 9 1 2 0213 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.575189199453 0.759766673731 8 7 8 1 3120 2310 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653671334310 0.764466019803 10 10 2 6 0321 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.638733165762 0.903085503825 3 6 3 6 0132 0213 2310 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.337473152090 0.653063602952 5 10 3 4 1230 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984571097701 1.153937354980 7 9 7 4 0321 3120 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.477964474514 0.738090239897 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0011_9']), '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_0101_10'], '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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_1001_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_6']), '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' : 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' : 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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_5']), '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' : d['c_0011_5'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], '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_0011_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_3']})} 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_5, c_0011_6, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 721/60*c_1001_10^7 + 27743/540*c_1001_10^6 + 4351/18*c_1001_10^5 + 11512/45*c_1001_10^4 + 111407/135*c_1001_10^3 + 5608/9*c_1001_10^2 + 452627/180*c_1001_10 + 267797/540, c_0011_0 - 1, c_0011_10 + 19/810*c_1001_10^7 + 77/810*c_1001_10^6 + 4/9*c_1001_10^5 + 152/405*c_1001_10^4 + 571/405*c_1001_10^3 + 8/9*c_1001_10^2 + 3241/810*c_1001_10 + 293/810, c_0011_3 + 4/405*c_1001_10^7 + 37/810*c_1001_10^6 + 2/9*c_1001_10^5 + 109/405*c_1001_10^4 + 296/405*c_1001_10^3 + 1/9*c_1001_10^2 + 886/405*c_1001_10 - 467/810, c_0011_5 - 19/405*c_1001_10^7 - 77/405*c_1001_10^6 - 8/9*c_1001_10^5 - 304/405*c_1001_10^4 - 1142/405*c_1001_10^3 - 13/9*c_1001_10^2 - 3511/405*c_1001_10 + 247/405, c_0011_6 + 19/405*c_1001_10^7 + 151/810*c_1001_10^6 + 8/9*c_1001_10^5 + 304/405*c_1001_10^4 + 1253/405*c_1001_10^3 + 16/9*c_1001_10^2 + 4051/405*c_1001_10 - 281/810, c_0011_9 + 19/810*c_1001_10^7 + 37/405*c_1001_10^6 + 4/9*c_1001_10^5 + 152/405*c_1001_10^4 + 682/405*c_1001_10^3 + 8/9*c_1001_10^2 + 4051/810*c_1001_10 - 287/405, c_0101_1 - 103/810*c_1001_10^7 - 208/405*c_1001_10^6 - 22/9*c_1001_10^5 - 869/405*c_1001_10^4 - 3373/405*c_1001_10^3 - 41/9*c_1001_10^2 - 21217/810*c_1001_10 + 368/405, c_0101_10 + 1/810*c_1001_10^7 + 1/405*c_1001_10^6 - 37/405*c_1001_10^4 - 74/405*c_1001_10^3 - 1/3*c_1001_10^2 + 19/810*c_1001_10 - 251/405, c_0101_2 - 14/405*c_1001_10^7 - 113/810*c_1001_10^6 - 2/3*c_1001_10^5 - 224/405*c_1001_10^4 - 904/405*c_1001_10^3 - c_1001_10^2 - 3056/405*c_1001_10 + 463/810, c_0101_8 - 37/810*c_1001_10^7 - 76/405*c_1001_10^6 - 8/9*c_1001_10^5 - 341/405*c_1001_10^4 - 1216/405*c_1001_10^3 - 16/9*c_1001_10^2 - 7003/810*c_1001_10 - 4/405, c_1001_10^8 + 4*c_1001_10^7 + 19*c_1001_10^6 + 16*c_1001_10^5 + 64*c_1001_10^4 + 34*c_1001_10^3 + 199*c_1001_10^2 - 14*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.500 seconds, Total memory usage: 32.09MB