Magma V2.19-8 Tue Aug 20 2013 23:42:08 on localhost [Seed = 1124410903] Type ? for help. Type -D to quit. Loading file "L12n881__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n881 geometric_solution 9.59502974 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 3201 0132 0 1 0 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 1 -1 -1 0 1 0 0 -1 0 1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241664457822 0.485775022845 0 4 5 4 0132 0132 0132 1302 1 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 0 0 0 0 0 0 0 0 0 0 6 0 -6 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 0.680984858277 0.738477187381 0 0 6 6 2310 0132 2310 0132 0 1 1 0 0 0 0 0 1 0 0 -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 -7 0 0 7 -1 7 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.179070552961 1.650168272500 5 7 0 8 0132 0132 0132 0132 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 -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 1.598284367605 0.911624498108 8 1 1 6 3201 0132 2031 3120 1 1 0 1 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 -6 0 6 1 0 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325148819217 0.731825672521 3 6 9 1 0132 1302 0132 0132 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 0 0.797645766400 0.435567818757 4 2 2 5 3120 3201 0132 2031 0 1 0 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 0 0 7 0 -7 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241664457822 0.485775022845 10 3 9 10 0132 0132 2103 2031 0 1 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 1 0 -1 -1 0 1 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 0.160652910448 0.573218837900 10 9 3 4 3012 2103 0132 2310 0 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 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922600311311 0.655224837409 7 8 10 5 2103 2103 1023 0132 1 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 -1 0 0 1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.265791300028 1.062621836688 7 7 9 8 0132 1302 1023 1230 1 1 0 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 0 0 0 1 0 0 -1 1 1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546676610695 1.617483963945 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_9'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(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' : d['c_0101_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0101_4']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : negation(d['c_0110_4']), 'c_1100_8' : d['c_0011_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' : 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' : 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' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], '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_0011_8'], 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0110_4']})} 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_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 9233855/48916*c_0110_4^8 - 3018471/12229*c_0110_4^7 + 9693329/24458*c_0110_4^6 - 69707469/48916*c_0110_4^5 + 164168531/48916*c_0110_4^4 - 163643693/48916*c_0110_4^3 + 164261829/48916*c_0110_4^2 - 145107931/48916*c_0110_4 + 3352404/1747, c_0011_0 - 1, c_0011_10 - 110/1747*c_0110_4^8 + 497/1747*c_0110_4^7 - 41/1747*c_0110_4^6 + 1395/1747*c_0110_4^5 - 3740/1747*c_0110_4^4 + 3983/1747*c_0110_4^3 - 2165/1747*c_0110_4^2 + 2735/1747*c_0110_4 - 1971/1747, c_0011_6 + 1, c_0011_8 - 429/1747*c_0110_4^8 + 366/1747*c_0110_4^7 - 684/1747*c_0110_4^6 + 2820/1747*c_0110_4^5 - 5851/1747*c_0110_4^4 + 4877/1747*c_0110_4^3 - 4076/1747*c_0110_4^2 + 2805/1747*c_0110_4 - 1223/1747, c_0011_9 - 101/1747*c_0110_4^8 - 36/1747*c_0110_4^7 + 10/1747*c_0110_4^6 + 725/1747*c_0110_4^5 + 60/1747*c_0110_4^4 + 179/1747*c_0110_4^3 + 315/1747*c_0110_4^2 - 1221/1747*c_0110_4 + 779/1747, c_0101_0 - 1, c_0101_1 - c_0110_4, c_0101_2 + 32/1747*c_0110_4^8 + 46/1747*c_0110_4^7 - 401/1747*c_0110_4^6 - 247/1747*c_0110_4^5 - 659/1747*c_0110_4^4 + 2780/1747*c_0110_4^3 - 3023/1747*c_0110_4^2 + 1269/1747*c_0110_4 - 2063/1747, c_0101_4 - c_0110_4 + 1, c_0101_5 - 387/1747*c_0110_4^8 + 208/1747*c_0110_4^7 - 446/1747*c_0110_4^6 + 2605/1747*c_0110_4^5 - 4423/1747*c_0110_4^4 + 2848/1747*c_0110_4^3 - 3567/1747*c_0110_4^2 + 2396/1747*c_0110_4 - 1201/1747, c_0110_4^9 - 2*c_0110_4^8 + 3*c_0110_4^7 - 9*c_0110_4^6 + 23*c_0110_4^5 - 30*c_0110_4^4 + 30*c_0110_4^3 - 28*c_0110_4^2 + 21*c_0110_4 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB