Magma V2.19-8 Wed Aug 21 2013 00:50:41 on localhost [Seed = 3920624881] Type ? for help. Type -D to quit. Loading file "L10a148__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a148 geometric_solution 11.88523285 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3012 1 1 1 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 -1 0 1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 0 4 0 5 0132 0132 1230 0132 1 1 2 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 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 3 0 5 6 0321 0132 1230 0132 1 0 2 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 1 0 -1 -1 0 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 0.750000000000 0.661437827766 2 7 4 0 0321 0132 2031 0132 1 1 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 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 -0.500000000000 1.322875655532 5 1 8 3 0213 0132 0132 1302 1 0 1 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 -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 1.250000000000 0.661437827766 4 9 1 2 0213 0132 0132 3012 1 1 0 2 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 0 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 7 10 2 9 0213 0132 0132 1302 1 0 1 2 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 0 1 -1 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 0.928806309609 0.833073786806 6 3 10 8 0213 0132 0132 3012 1 1 0 2 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 0 0 0 0 0 0 0 0 1 0 -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 -0.071193690391 0.833073786806 9 11 7 4 0321 0132 1230 0132 1 0 2 1 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 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 0.581706428681 0.452396594283 8 5 6 11 0321 0132 2031 0132 1 1 2 0 0 0 -1 1 0 0 0 0 -1 1 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 2 0 0 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 0.101839048370 1.191670795605 11 6 12 7 0132 0132 0132 0132 1 1 2 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 1 0 -2 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 0.806693095032 1.070312175810 10 8 9 12 0132 0132 0132 1302 1 1 1 2 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 -2 2 -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 0.550919524185 0.595835397802 12 12 11 10 1230 3012 2031 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 -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 0.346065477523 0.717194017597 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_12'], 's_2_0' : negation(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' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0101_2']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_1001_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_1001_8']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), '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_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_0011_12'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_12'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_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' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 's_2_9' : d['1']})} 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_12, c_0011_3, c_0011_5, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_1001_0, c_1001_1, c_1001_11, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/252*c_1001_8 - 1/126, c_0011_0 - 1, c_0011_10 + c_1001_8 - 2, c_0011_12 + c_1001_8 - 3, c_0011_3 + 1, c_0011_5 - 1, c_0101_1 - 1, c_0101_12 + c_1001_8 - 4, c_0101_2 - 1, c_0101_8 + 1, c_1001_0 + 2, c_1001_1 + 3, c_1001_11 + 2, c_1001_8^2 - 5*c_1001_8 + 7 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_1001_0, c_1001_1, c_1001_11, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 7851/43840*c_1001_8^5 - 272151/175360*c_1001_8^4 + 2676973/701440*c_1001_8^3 - 1944297/350720*c_1001_8^2 + 1019559/175360*c_1001_8 - 1937007/701440, c_0011_0 - 1, c_0011_10 - 1088/685*c_1001_8^5 + 4048/685*c_1001_8^4 - 1660/137*c_1001_8^3 + 10572/685*c_1001_8^2 - 9107/685*c_1001_8 + 826/137, c_0011_12 + 2752/685*c_1001_8^5 - 10368/685*c_1001_8^4 + 4360/137*c_1001_8^3 - 29763/685*c_1001_8^2 + 26412/685*c_1001_8 - 2460/137, c_0011_3 + 752/137*c_1001_8^5 - 14892/685*c_1001_8^4 + 6317/137*c_1001_8^3 - 8661/137*c_1001_8^2 + 39183/685*c_1001_8 - 3737/137, c_0011_5 + 752/137*c_1001_8^5 - 14892/685*c_1001_8^4 + 6317/137*c_1001_8^3 - 8661/137*c_1001_8^2 + 39183/685*c_1001_8 - 3737/137, c_0101_1 - 1, c_0101_12 - 752/137*c_1001_8^5 + 14892/685*c_1001_8^4 - 6317/137*c_1001_8^3 + 8661/137*c_1001_8^2 - 38498/685*c_1001_8 + 3600/137, c_0101_2 - 1, c_0101_8 - 1, c_1001_0 + 752/137*c_1001_8^5 - 14892/685*c_1001_8^4 + 6317/137*c_1001_8^3 - 8661/137*c_1001_8^2 + 39183/685*c_1001_8 - 3874/137, c_1001_1 + 752/137*c_1001_8^5 - 14892/685*c_1001_8^4 + 6317/137*c_1001_8^3 - 8661/137*c_1001_8^2 + 39183/685*c_1001_8 - 3737/137, c_1001_11 + 752/137*c_1001_8^5 - 14892/685*c_1001_8^4 + 6317/137*c_1001_8^3 - 8661/137*c_1001_8^2 + 39183/685*c_1001_8 - 3874/137, c_1001_8^6 - 21/4*c_1001_8^5 + 215/16*c_1001_8^4 - 177/8*c_1001_8^3 + 99/4*c_1001_8^2 - 285/16*c_1001_8 + 25/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB