Magma V2.19-8 Wed Aug 21 2013 01:00:58 on localhost [Seed = 1157848743] Type ? for help. Type -D to quit. Loading file "L13n9910__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9910 geometric_solution 11.76294367 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 0 2 0 0 0 0 -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 0 1 -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 0.549779268931 0.530950602176 0 5 7 6 0132 0132 0132 0132 1 0 2 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 0 0 0 0 1 0 -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 1.058864312771 0.908903969469 6 0 9 8 0132 0132 0132 0132 2 0 2 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766094797958 0.958099455024 10 8 11 0 0132 0132 0132 0132 2 0 2 2 0 0 0 0 1 0 0 -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 0 1 -1 -2 0 1 1 -1 0 0 1 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019214014973 1.175054758860 7 10 0 12 0132 0321 0132 0132 2 0 2 0 0 0 0 0 0 0 0 0 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 -1 1 0 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 0.929042502639 1.095630747727 12 1 7 6 0213 0132 0213 0213 1 0 0 2 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 0 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 0.549779268931 0.530950602176 2 7 1 5 0132 0213 0132 0213 1 0 0 2 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 1 -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 0.549779268931 0.530950602176 4 5 6 1 0132 0213 0213 0132 1 0 0 2 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 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 0.456239777682 0.466750856123 10 3 2 9 2103 0132 0132 3201 2 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 0 0 0 0 0 0 0 0 0 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 0 0 0 0.407329110739 0.365146742917 12 8 11 2 3120 2310 3120 0132 2 0 0 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 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 0.083926120063 1.487805727782 3 11 8 4 0132 3120 2103 0321 2 0 2 2 0 0 0 0 -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 0 0 -1 1 2 0 -1 -1 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019214014973 1.175054758860 12 10 9 3 1230 3120 3120 0132 2 0 2 2 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 0 -1 1 0 0 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.361170492976 1.220209798321 5 11 4 9 0213 3012 0132 3120 2 0 0 2 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 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490918136260 0.636671933436 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0110_8']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_9']), 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_12'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_12'], '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_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_0110_8, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 923240557/702464*c_1001_5^7 + 15729749353/1404928*c_1001_5^6 - 116376380983/2809856*c_1001_5^5 + 253859370691/2809856*c_1001_5^4 - 349012449489/2809856*c_1001_5^3 + 2431884515349/22478848*c_1001_5^2 - 76477684795/1404928*c_1001_5 + 2423224549/200704, c_0011_0 - 1, c_0011_10 + 4*c_1001_5^7 - 26*c_1001_5^6 + 79*c_1001_5^5 - 143*c_1001_5^4 + 164*c_1001_5^3 - 941/8*c_1001_5^2 + 187/4*c_1001_5 - 7, c_0011_11 - 4*c_1001_5^7 + 26*c_1001_5^6 - 79*c_1001_5^5 + 147*c_1001_5^4 - 182*c_1001_5^3 + 1221/8*c_1001_5^2 - 327/4*c_1001_5 + 21, c_0011_12 - c_1001_5 + 1, c_0011_9 - 4*c_1001_5^7 + 34*c_1001_5^6 - 135*c_1001_5^5 + 317*c_1001_5^4 - 471*c_1001_5^3 + 3529/8*c_1001_5^2 - 957/4*c_1001_5 + 57, c_0101_0 - c_1001_5 + 1, c_0101_1 - 1, c_0101_2 + 2/7*c_1001_5^7 - 17/7*c_1001_5^6 + 135/14*c_1001_5^5 - 325/14*c_1001_5^4 + 515/14*c_1001_5^3 - 4377/112*c_1001_5^2 + 1513/56*c_1001_5 - 10, c_0101_9 - 6*c_1001_5^7 + 43*c_1001_5^6 - 285/2*c_1001_5^5 + 563/2*c_1001_5^4 - 713/2*c_1001_5^3 + 4635/16*c_1001_5^2 - 1125/8*c_1001_5 + 63/2, c_0110_8 - 6*c_1001_5^7 + 43*c_1001_5^6 - 285/2*c_1001_5^5 + 563/2*c_1001_5^4 - 713/2*c_1001_5^3 + 4635/16*c_1001_5^2 - 1125/8*c_1001_5 + 63/2, c_1001_0 - 4*c_1001_5^7 + 26*c_1001_5^6 - 79*c_1001_5^5 + 147*c_1001_5^4 - 182*c_1001_5^3 + 1221/8*c_1001_5^2 - 327/4*c_1001_5 + 21, c_1001_1 - 1, c_1001_5^8 - 17/2*c_1001_5^7 + 135/4*c_1001_5^6 - 325/4*c_1001_5^5 + 515/4*c_1001_5^4 - 4377/32*c_1001_5^3 + 1513/16*c_1001_5^2 - 77/2*c_1001_5 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB