Magma V2.19-8 Tue Aug 20 2013 23:30:03 on localhost [Seed = 3230049926] Type ? for help. Type -D to quit. Loading file "L11a110__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a110 geometric_solution 7.02061479 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 1 2 3 0132 1230 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 -1 0 1 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021633628409 1.077683838759 0 4 0 5 0132 0132 3012 0132 1 1 1 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 0 -16 16 0 0 0 0 16 0 0 -16 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981380344054 0.927542154138 6 7 5 0 0132 0132 1230 0132 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 1 0 -1 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 -0.757214824121 1.786002245134 4 4 0 5 0132 1302 0132 1230 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 -1 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 -15 0 15 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021633628409 1.077683838759 3 1 7 3 0132 0132 1230 2031 1 1 0 1 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 0 -15 15 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 0.461797832369 0.508676580849 3 7 1 2 3012 1230 0132 3012 1 1 1 1 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 15 -16 1 0 0 0 0 0 0 0 0 -15 -1 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954505374077 0.469811484826 2 8 7 8 0132 0132 3201 1023 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 0.408926167387 0.520206084491 6 2 5 4 2310 0132 3012 3012 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 -1 1 0 0 0 -15 15 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.757214824121 1.786002245134 8 6 8 6 2031 0132 1302 1023 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 0.530832832724 0.090870316024 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0110_8'], 's_2_8' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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_8' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0011_2'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0110_5'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_8' : d['c_0101_2'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], '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_8' : negation(d['c_0011_2']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_5, c_0110_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1920855726964736/20392993982205*c_1001_4^7 - 2016461593341952/20392993982205*c_1001_4^6 - 2881149449828864/20392993982205*c_1001_4^5 - 115836447233024/4078598796441*c_1001_4^4 - 1052510669579264/4078598796441*c_1001_4^3 - 915118600558336/6797664660735*c_1001_4^2 - 1168065008070784/6797664660735*c_1001_4 + 1201636564023808/20392993982205, c_0011_0 - 1, c_0011_2 - 6792832/15867009*c_1001_4^7 - 6632480/15867009*c_1001_4^6 - 13053568/15867009*c_1001_4^5 - 6910448/15867009*c_1001_4^4 - 15604832/15867009*c_1001_4^3 - 3868598/5289003*c_1001_4^2 - 1542494/5289003*c_1001_4 - 4337353/15867009, c_0011_5 + 4648256/142803081*c_1001_4^7 - 7272704/142803081*c_1001_4^6 + 1302224/142803081*c_1001_4^5 - 28860800/142803081*c_1001_4^4 + 7341496/142803081*c_1001_4^3 - 36612416/47601027*c_1001_4^2 + 300067/47601027*c_1001_4 - 86704714/142803081, c_0101_0 - 1, c_0101_1 + 42488704/142803081*c_1001_4^7 + 37840448/142803081*c_1001_4^6 + 92250112/142803081*c_1001_4^5 + 41186480/142803081*c_1001_4^4 + 188193440/142803081*c_1001_4^3 + 22337912/47601027*c_1001_4^2 + 84412208/47601027*c_1001_4 + 25655239/142803081, c_0101_2 + 9296512/142803081*c_1001_4^7 - 14545408/142803081*c_1001_4^6 + 2604448/142803081*c_1001_4^5 - 57721600/142803081*c_1001_4^4 + 14682992/142803081*c_1001_4^3 + 21977222/47601027*c_1001_4^2 + 600134/47601027*c_1001_4 - 30606347/142803081, c_0110_5 - c_1001_4, c_0110_8 - 1275008/142803081*c_1001_4^7 + 86557184/142803081*c_1001_4^6 - 17911424/142803081*c_1001_4^5 + 38793656/142803081*c_1001_4^4 + 1053512/142803081*c_1001_4^3 + 43572968/47601027*c_1001_4^2 - 4506256/47601027*c_1001_4 + 30206515/142803081, c_1001_4^8 + c_1001_4^7 + 2*c_1001_4^6 + c_1001_4^5 + 15/4*c_1001_4^4 + 7/4*c_1001_4^3 + 27/8*c_1001_4^2 + 5/8*c_1001_4 + 169/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB