Magma V2.19-8 Tue Aug 20 2013 23:59:37 on localhost [Seed = 1916017456] Type ? for help. Type -D to quit. Loading file "L14n45375__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45375 geometric_solution 10.84792502 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 3012 0132 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 -3 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 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271264368824 0.816162345557 0 0 5 4 0132 1230 0132 0132 1 1 0 2 0 0 0 0 0 0 0 0 -1 3 0 -2 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 0 -1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608711893094 0.681739310090 4 0 5 4 0132 0132 2103 2031 2 1 0 2 0 0 0 0 0 0 0 0 0 -2 0 2 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 0 0 0.633280500961 1.103361446972 4 6 0 7 3012 0132 0132 0132 2 1 1 2 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 -2 1 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183637710234 1.397474579758 2 2 1 3 0132 1302 0132 1230 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608711893094 0.681739310090 2 7 6 1 2103 1302 1302 0132 1 1 2 2 0 0 0 0 0 0 0 0 0 0 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 0.907564508165 0.703429867114 5 3 8 9 2031 0132 0132 0132 2 1 2 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 2 0 -2 -1 0 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 0.421354602463 0.534340006184 10 8 3 5 0132 0132 0132 2031 2 1 2 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 1 -1 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 0.421354602463 0.534340006184 10 7 11 6 3120 0132 0132 0132 2 1 1 2 0 -1 1 0 0 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 -1 1 0 0 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 1.523363101907 0.641300548522 10 11 6 11 2103 0132 0132 3120 2 1 2 2 0 0 1 -1 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 0 2 -2 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849944446436 0.938174985337 7 11 9 8 0132 0213 2103 3120 2 1 1 2 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 -1 0 1 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 0.420488552751 0.650541767218 9 9 10 8 3120 0132 0213 0132 2 1 2 2 0 0 1 -1 1 0 0 -1 1 0 0 -1 1 -1 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 2 -1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387184356796 0.264047505366 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_10'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : 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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_6'], 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_8'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], '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_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_8, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 78953998/4225*c_1001_6^6 + 83316229/4225*c_1001_6^5 - 210559727/8450*c_1001_6^4 + 37139097/8450*c_1001_6^3 - 79068489/16900*c_1001_6^2 - 497910323/67600*c_1001_6 - 354985867/135200, c_0011_0 - 1, c_0011_10 + 4480/523*c_1001_6^6 - 3696/523*c_1001_6^5 + 4352/523*c_1001_6^4 + 1244/523*c_1001_6^3 + 208/523*c_1001_6^2 + 2417/523*c_1001_6 + 916/523, c_0011_11 + 3136/523*c_1001_6^6 - 3424/523*c_1001_6^5 + 4720/523*c_1001_6^4 - 1012/523*c_1001_6^3 + 564/523*c_1001_6^2 + 1535/523*c_1001_6 - 91/523, c_0011_3 + 2208/523*c_1001_6^6 - 2240/523*c_1001_6^5 + 2384/523*c_1001_6^4 + 120/523*c_1001_6^3 - 286/523*c_1001_6^2 + 926/523*c_1001_6 + 571/523, c_0011_5 - 2208/523*c_1001_6^6 + 2240/523*c_1001_6^5 - 2384/523*c_1001_6^4 - 120/523*c_1001_6^3 + 286/523*c_1001_6^2 - 926/523*c_1001_6 - 48/523, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - c_1001_6, c_0101_6 - 2208/523*c_1001_6^6 + 2240/523*c_1001_6^5 - 2384/523*c_1001_6^4 - 120/523*c_1001_6^3 + 286/523*c_1001_6^2 - 926/523*c_1001_6 - 48/523, c_0101_8 - 4544/523*c_1001_6^6 + 2912/523*c_1001_6^5 - 3936/523*c_1001_6^4 - 2248/523*c_1001_6^3 + 58/523*c_1001_6^2 - 2982/523*c_1001_6 - 1213/523, c_1001_1 - 2208/523*c_1001_6^6 + 2240/523*c_1001_6^5 - 2384/523*c_1001_6^4 - 120/523*c_1001_6^3 + 286/523*c_1001_6^2 - 926/523*c_1001_6 - 571/523, c_1001_6^7 - 1/2*c_1001_6^6 + 3/4*c_1001_6^5 + 1/2*c_1001_6^4 + 1/8*c_1001_6^3 + 17/32*c_1001_6^2 + 23/64*c_1001_6 + 5/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB