Magma V2.19-8 Tue Aug 20 2013 23:55:59 on localhost [Seed = 3785853401] Type ? for help. Type -D to quit. Loading file "L14n13464__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13464 geometric_solution 11.39239158 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 1023 0132 1 1 1 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 1 0 0 -1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029811769370 1.403564148567 0 3 0 2 0132 1023 1023 1023 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 0 0 0 -1 0 1 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029811769370 1.403564148567 4 0 5 1 0132 0132 0132 1023 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 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508196421608 0.733694750448 1 4 0 5 1023 0132 0132 0132 1 1 1 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 1 -1 0 0 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 0.508196421608 0.733694750448 2 3 6 7 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249049969373 0.586256797080 8 9 3 2 0132 0132 0132 0132 1 1 1 1 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 0 -1 0 1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249049969373 0.586256797080 8 10 10 4 3120 0132 1302 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 3 0 -3 0 0 3 0 -3 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146861229447 1.063100969536 11 9 4 9 0132 0213 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146861229447 1.063100969536 5 11 11 6 0132 0213 0132 3120 0 1 1 1 0 -1 0 1 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 1 0 -1 1 0 2 -3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146861229447 1.063100969536 7 5 7 10 3012 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146861229447 1.063100969536 6 6 9 11 2031 0132 0132 3201 1 1 0 1 0 0 0 0 0 0 0 0 1 -2 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 -1 0 0 1 -2 3 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872488831624 0.923029496880 7 10 8 8 0132 2310 0213 0132 0 1 1 1 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 1 -1 0 0 0 2 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872488831624 0.923029496880 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_4'], 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0110_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : 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' : 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' : 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_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_5, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_0110_10, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 18813380530792751/974558015110336*c_1001_2^14 - 1153867777830553/121819751888792*c_1001_2^13 + 87285262990936779/487279007555168*c_1001_2^12 + 11116608629023451/974558015110336*c_1001_2^11 + 555435678877336065/974558015110336*c_1001_2^10 + 32685962128838949/121819751888792*c_1001_2^9 + 77001005799246519/121819751888792*c_1001_2^8 + 6666685273714413/15227468986099*c_1001_2^7 - 169708760886302819/974558015110336*c_1001_2^6 + 313701871349570015/974558015110336*c_1001_2^5 - 249925971273355315/487279007555168*c_1001_2^4 + 126061274671271897/243639503777584*c_1001_2^3 - 236522088717680063/974558015110336*c_1001_2^2 + 7659414713954475/60909875944396*c_1001_2 - 41774731976278119/974558015110336, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 41671534/2857472131*c_1001_2^14 - 108801362/2857472131*c_1001_2^13 + 823100551/2857472131*c_1001_2^12 - 854878752/2857472131*c_1001_2^11 + 4634534205/2857472131*c_1001_2^10 - 475788320/2857472131*c_1001_2^9 + 10860512843/2857472131*c_1001_2^8 + 7692976425/2857472131*c_1001_2^7 + 10296423803/2857472131*c_1001_2^6 + 15020472840/2857472131*c_1001_2^5 - 2364895269/2857472131*c_1001_2^4 + 10422118179/2857472131*c_1001_2^3 - 6942658295/2857472131*c_1001_2^2 + 5162297958/2857472131*c_1001_2 - 3008571354/2857472131, c_0011_5 + 9172618/2857472131*c_1001_2^14 - 37259010/2857472131*c_1001_2^13 + 136989654/2857472131*c_1001_2^12 - 380505443/2857472131*c_1001_2^11 + 639536708/2857472131*c_1001_2^10 - 1634886249/2857472131*c_1001_2^9 + 1068514917/2857472131*c_1001_2^8 - 3670662653/2857472131*c_1001_2^7 - 1750482255/2857472131*c_1001_2^6 - 3449671606/2857472131*c_1001_2^5 - 9507183207/2857472131*c_1001_2^4 - 1800499632/2857472131*c_1001_2^3 - 8637791396/2857472131*c_1001_2^2 - 486354591/2857472131*c_1001_2 - 3738731651/2857472131, c_0101_0 - 290533275/2857472131*c_1001_2^14 + 72895889/2857472131*c_1001_2^13 - 2775950347/2857472131*c_1001_2^12 - 747043803/2857472131*c_1001_2^11 - 9750883221/2857472131*c_1001_2^10 - 6075972165/2857472131*c_1001_2^9 - 14375730386/2857472131*c_1001_2^8 - 10812544077/2857472131*c_1001_2^7 - 4167834717/2857472131*c_1001_2^6 - 9397213093/2857472131*c_1001_2^5 + 5952340555/2857472131*c_1001_2^4 - 10941644611/2857472131*c_1001_2^3 + 6345601125/2857472131*c_1001_2^2 - 4436503742/2857472131*c_1001_2 + 2457415231/2857472131, c_0101_10 - 9172618/2857472131*c_1001_2^14 + 37259010/2857472131*c_1001_2^13 - 136989654/2857472131*c_1001_2^12 + 380505443/2857472131*c_1001_2^11 - 639536708/2857472131*c_1001_2^10 + 1634886249/2857472131*c_1001_2^9 - 1068514917/2857472131*c_1001_2^8 + 3670662653/2857472131*c_1001_2^7 + 1750482255/2857472131*c_1001_2^6 + 3449671606/2857472131*c_1001_2^5 + 9507183207/2857472131*c_1001_2^4 + 1800499632/2857472131*c_1001_2^3 + 8637791396/2857472131*c_1001_2^2 + 486354591/2857472131*c_1001_2 + 3738731651/2857472131, c_0101_2 - 161150872/2857472131*c_1001_2^14 + 49559571/2857472131*c_1001_2^13 - 1560515288/2857472131*c_1001_2^12 - 368890839/2857472131*c_1001_2^11 - 5540886255/2857472131*c_1001_2^10 - 3542890650/2857472131*c_1001_2^9 - 8391704974/2857472131*c_1001_2^8 - 7367050834/2857472131*c_1001_2^7 - 2951626385/2857472131*c_1001_2^6 - 7409601826/2857472131*c_1001_2^5 + 4151456889/2857472131*c_1001_2^4 - 4308647509/2857472131*c_1001_2^3 + 4438715545/2857472131*c_1001_2^2 + 1401297590/2857472131*c_1001_2 + 1874248119/2857472131, c_0101_4 - c_1001_2, c_0110_10 + 466120883/5714944262*c_1001_2^14 - 151978254/2857472131*c_1001_2^13 + 2342904976/2857472131*c_1001_2^12 - 516446853/5714944262*c_1001_2^11 + 16679921873/5714944262*c_1001_2^10 + 2556584581/2857472131*c_1001_2^9 + 11602574889/2857472131*c_1001_2^8 + 7592678199/2857472131*c_1001_2^7 + 1696738059/5714944262*c_1001_2^6 + 17164673051/5714944262*c_1001_2^5 - 11325394315/2857472131*c_1001_2^4 + 4898933108/2857472131*c_1001_2^3 - 20142349293/5714944262*c_1001_2^2 + 1394374745/2857472131*c_1001_2 - 2365201949/5714944262, c_1001_10 - 161150872/2857472131*c_1001_2^14 + 49559571/2857472131*c_1001_2^13 - 1560515288/2857472131*c_1001_2^12 - 368890839/2857472131*c_1001_2^11 - 5540886255/2857472131*c_1001_2^10 - 3542890650/2857472131*c_1001_2^9 - 8391704974/2857472131*c_1001_2^8 - 7367050834/2857472131*c_1001_2^7 - 2951626385/2857472131*c_1001_2^6 - 7409601826/2857472131*c_1001_2^5 + 4151456889/2857472131*c_1001_2^4 - 4308647509/2857472131*c_1001_2^3 + 4438715545/2857472131*c_1001_2^2 + 1401297590/2857472131*c_1001_2 + 1874248119/2857472131, c_1001_2^15 + 10*c_1001_2^13 + 5*c_1001_2^12 + 39*c_1001_2^11 + 32*c_1001_2^10 + 72*c_1001_2^9 + 64*c_1001_2^8 + 51*c_1001_2^7 + 57*c_1001_2^6 - 2*c_1001_2^5 + 44*c_1001_2^4 - 17*c_1001_2^3 + 24*c_1001_2^2 - 9*c_1001_2 + 8, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB