Magma V2.19-8 Wed Aug 21 2013 01:04:27 on localhost [Seed = 2799746791] Type ? for help. Type -D to quit. Loading file "L14n24190__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24190 geometric_solution 11.39164917 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 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 0.017330186771 1.074915434699 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 0 1 -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 0 -1 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 0.808602111692 0.843847701653 8 0 9 7 0132 0132 0132 1230 0 0 1 0 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 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 0.097859671768 0.770384620981 10 10 8 0 0132 1302 2031 0132 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 0 0 0 0 0 0 0 0 0 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 0.246053526854 1.082594889631 9 5 0 8 2031 2031 0132 2031 0 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 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 0.062867870187 1.103445297732 4 1 11 9 1302 0132 0132 3201 1 0 0 1 0 0 0 0 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 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 0.509394215311 0.606234502235 12 12 1 10 0132 3120 0132 3201 1 0 1 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 2 -1 -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 1.477266867070 1.117272524803 2 11 12 1 3012 0132 3120 0132 1 0 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 1 -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 0 0 0 0.814474939406 0.488870951786 2 4 11 3 0132 1302 3120 1302 0 0 0 1 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 0 0 0 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 1.385440144504 1.261564560052 11 5 4 2 0132 2310 1302 0132 0 0 0 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.924018253997 0.988569050651 3 6 12 3 0132 2310 0132 2031 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 0 0 0 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 0.433191290547 0.622021183311 9 7 8 5 0132 0132 3120 0132 1 0 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 -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 0 0 0 0 0 0 0.523429739952 0.506693787414 6 6 7 10 0132 3120 3120 0132 1 0 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 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.092120329783 0.791595516465 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0110_4']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : negation(d['c_1001_12']), 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0110_4'], 'c_1001_8' : d['c_0110_4'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(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_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_1001_12']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : d['c_1010_8'], '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_7']), '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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_0110_5, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 194939309589247/4473708625*c_1010_8^7 + 1091911116129892/4473708625*c_1010_8^6 + 2414565960421508/4473708625*c_1010_8^5 + 469845909776978/894741725*c_1010_8^4 + 767202349414039/4473708625*c_1010_8^3 - 28887186082807/894741725*c_1010_8^2 - 88533968253394/4473708625*c_1010_8 - 11827062113884/4473708625, c_0011_0 - 1, c_0011_10 - 4996262751/250527683*c_1010_8^7 - 26020676037/250527683*c_1010_8^6 - 51164156716/250527683*c_1010_8^5 - 37026905434/250527683*c_1010_8^4 + 2247443858/250527683*c_1010_8^3 + 10342450245/250527683*c_1010_8^2 + 23776665/35789669*c_1010_8 - 736437358/250527683, c_0011_11 - 3345240212/250527683*c_1010_8^7 - 17034616671/250527683*c_1010_8^6 - 31590029889/250527683*c_1010_8^5 - 18309493375/250527683*c_1010_8^4 + 7578398838/250527683*c_1010_8^3 + 7096385112/250527683*c_1010_8^2 - 176548482/35789669*c_1010_8 - 158592100/250527683, c_0011_12 + 178283069442/1753693781*c_1010_8^7 + 934783176981/1753693781*c_1010_8^6 + 1849707797753/1753693781*c_1010_8^5 + 1344045630225/1753693781*c_1010_8^4 - 108980104556/1753693781*c_1010_8^3 - 423186709810/1753693781*c_1010_8^2 - 2997572245/250527683*c_1010_8 + 37153702904/1753693781, c_0011_4 - 7719726747/250527683*c_1010_8^7 - 38380877938/250527683*c_1010_8^6 - 70009179859/250527683*c_1010_8^5 - 40942821097/250527683*c_1010_8^4 + 12588881465/250527683*c_1010_8^3 + 13223712757/250527683*c_1010_8^2 - 220863886/35789669*c_1010_8 - 540561046/250527683, c_0101_0 - 3555398541/250527683*c_1010_8^7 - 19043707105/250527683*c_1010_8^6 - 38365343664/250527683*c_1010_8^5 - 28102398146/250527683*c_1010_8^4 + 3724236006/250527683*c_1010_8^3 + 10484443792/250527683*c_1010_8^2 + 30989995/35789669*c_1010_8 - 944837302/250527683, c_0101_1 - 1, c_0101_11 + 10920366/35789669*c_1010_8^7 + 217347281/35789669*c_1010_8^6 + 844426136/35789669*c_1010_8^5 + 1309879195/35789669*c_1010_8^4 + 645112180/35789669*c_1010_8^3 - 90669214/35789669*c_1010_8^2 - 62588214/35789669*c_1010_8 + 542514/35789669, c_0101_7 - 5359697719/250527683*c_1010_8^7 - 26153031706/250527683*c_1010_8^6 - 46648741009/250527683*c_1010_8^5 - 25704505116/250527683*c_1010_8^4 + 9723457393/250527683*c_1010_8^3 + 9428593590/250527683*c_1010_8^2 - 150518199/35789669*c_1010_8 - 649956073/250527683, c_0110_4 + 3345240212/250527683*c_1010_8^7 + 17034616671/250527683*c_1010_8^6 + 31590029889/250527683*c_1010_8^5 + 18309493375/250527683*c_1010_8^4 - 7578398838/250527683*c_1010_8^3 - 7096385112/250527683*c_1010_8^2 + 176548482/35789669*c_1010_8 + 158592100/250527683, c_0110_5 - 164341313/35789669*c_1010_8^7 - 759982510/35789669*c_1010_8^6 - 1331209144/35789669*c_1010_8^5 - 878064985/35789669*c_1010_8^4 - 195507906/35789669*c_1010_8^3 - 21047326/35789669*c_1010_8^2 + 77402077/35789669*c_1010_8 + 31827732/35789669, c_1001_12 + 27047117175/1753693781*c_1010_8^7 + 115880250456/1753693781*c_1010_8^6 + 155364180197/1753693781*c_1010_8^5 - 12409232015/1753693781*c_1010_8^4 - 119809456092/1753693781*c_1010_8^3 - 4626653327/1753693781*c_1010_8^2 + 4222276816/250527683*c_1010_8 - 6054318692/1753693781, c_1010_8^8 + 225/43*c_1010_8^7 + 444/43*c_1010_8^6 + 323/43*c_1010_8^5 - 19/43*c_1010_8^4 - 91/43*c_1010_8^3 - 6/43*c_1010_8^2 + 5/43*c_1010_8 + 1/43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.810 Total time: 1.010 seconds, Total memory usage: 32.09MB