Magma V2.19-8 Tue Aug 20 2013 23:52:24 on localhost [Seed = 1427324532] Type ? for help. Type -D to quit. Loading file "L13n2659__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2659 geometric_solution 10.58956603 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 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 0 1 0 -1 -10 0 10 0 1 -1 0 0 11 -10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830931263522 1.429030511741 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 -1 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 10 0 -10 0 -11 0 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305534410795 0.393811407274 4 0 5 5 0213 0132 3120 0213 1 1 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 0 0 0 -1 0 1 0 0 0 0 -10 10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727500896635 0.562581869881 8 6 9 0 0132 0321 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 10 -10 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051857539502 0.840468868434 2 6 0 10 0213 3120 0132 0132 1 1 1 1 0 -1 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 0 0 0 0 0 -11 1 10 10 0 0 -10 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073055685208 0.944505972704 11 1 2 2 0132 0132 3120 0213 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 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 0.727500896635 0.562581869881 8 4 1 3 3012 3120 0132 0321 1 1 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 1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.211053090294 0.781864480715 11 11 9 1 1230 2310 0213 0132 1 1 1 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 0 -10 10 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302632811109 1.439733680866 3 8 8 6 0132 3201 2310 1230 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 -0.308768048607 0.756198030022 10 7 10 3 1302 0213 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -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 10 -10 -10 10 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428362988199 0.758189217879 11 9 4 9 2103 2031 0132 0132 1 1 0 1 0 1 -1 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 10 -10 0 0 0 10 -10 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428362988199 0.758189217879 5 7 10 7 0132 3012 2103 3201 0 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 -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 1.139821686377 0.665182306093 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(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' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_0'], 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 141716/852431*c_1100_0^5 + 1189017/1704862*c_1100_0^4 - 334059/3409724*c_1100_0^3 - 3819111/1704862*c_1100_0^2 - 1099025/1704862*c_1100_0 - 1005619/852431, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 640/8561*c_1100_0^5 + 2154/8561*c_1100_0^4 - 3737/8561*c_1100_0^3 - 11419/8561*c_1100_0^2 + 4391/8561*c_1100_0 + 8849/8561, c_0011_4 + 86/8561*c_1100_0^5 + 771/8561*c_1100_0^4 - 1278/8561*c_1100_0^3 - 4290/8561*c_1100_0^2 + 6663/8561*c_1100_0 + 2607/8561, c_0011_6 + 86/8561*c_1100_0^5 + 771/8561*c_1100_0^4 - 1278/8561*c_1100_0^3 - 4290/8561*c_1100_0^2 + 15224/8561*c_1100_0 - 5954/8561, c_0011_9 + 2524/8561*c_1100_0^5 + 9886/8561*c_1100_0^4 - 3662/8561*c_1100_0^3 - 34921/8561*c_1100_0^2 - 12700/8561*c_1100_0 - 22835/8561, c_0101_0 - 380/8561*c_1100_0^5 - 1814/8561*c_1100_0^4 - 724/8561*c_1100_0^3 + 2232/8561*c_1100_0^2 + 3011/8561*c_1100_0 + 16951/8561, c_0101_10 - 278/8561*c_1100_0^5 + 295/8561*c_1100_0^4 + 1543/8561*c_1100_0^3 - 6838/8561*c_1100_0^2 + 3149/8561*c_1100_0 + 9292/8561, c_0101_5 - 86/8561*c_1100_0^5 - 771/8561*c_1100_0^4 + 1278/8561*c_1100_0^3 + 4290/8561*c_1100_0^2 - 6663/8561*c_1100_0 - 2607/8561, c_1001_2 - 1052/8561*c_1100_0^5 - 6644/8561*c_1100_0^4 - 4077/8561*c_1100_0^3 + 23211/8561*c_1100_0^2 + 20231/8561*c_1100_0 + 20073/8561, c_1001_3 + 1590/8561*c_1100_0^5 + 6689/8561*c_1100_0^4 - 1927/8561*c_1100_0^3 - 25560/8561*c_1100_0^2 - 7417/8561*c_1100_0 - 12126/8561, c_1100_0^6 + 5/2*c_1100_0^5 - 8*c_1100_0^4 - 14*c_1100_0^3 + 18*c_1100_0^2 + 4*c_1100_0 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB