Magma V2.19-8 Wed Aug 21 2013 00:53:10 on localhost [Seed = 1478380992] Type ? for help. Type -D to quit. Loading file "L12n1320__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1320 geometric_solution 11.43038161 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 0 1 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 0 -1 0 0 1 -1 1 -3 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449349721548 0.764517518126 0 4 6 5 0132 0132 0132 0132 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 -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 0.473055586053 0.523313744372 0 0 8 7 3012 0132 0132 0132 1 1 0 1 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 0 1 1 0 0 -1 1 1 0 -2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620309297617 0.861231426266 9 10 8 0 0132 0132 1302 0132 1 0 0 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 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 0.525145513796 1.683628005158 6 1 9 7 0321 0132 2031 0213 1 0 1 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 1 0 -1 2 0 -2 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 0.477713470314 0.474422004048 11 8 1 10 0132 2103 0132 2103 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 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 -0.372488492134 0.456261955931 4 12 10 1 0321 0132 2103 0132 1 0 1 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 0 0 0 0 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 -0.133980599449 0.927106211877 12 10 2 4 0321 0213 0132 0213 1 1 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 -1 1 0 0 1 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843867826491 0.607375028533 3 5 12 2 2031 2103 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203910260311 0.682575186012 3 11 11 4 0132 1230 0132 1302 0 0 1 0 0 0 -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 -1 -1 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 1.049399832573 1.051593401883 6 3 7 5 2103 0132 0213 2103 1 0 1 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 0 0 0 0 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 0.106829461191 0.359134383957 5 12 9 9 0132 2310 3012 0132 0 0 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 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 0.293027432912 0.616887375262 7 6 8 11 0321 0132 0321 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.297830075791 1.662336064357 ==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_1001_0'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_0101_2'], '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_0101_11'], 'c_0101_10' : d['c_0011_7'], '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_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_1100_9' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_1001_1'], '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_0011_8'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1001_1'], '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'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_7, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0110_10, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2437991373973/915935059606*c_1001_1^10 + 91870484891/130847865658*c_1001_1^9 - 20723883835093/457967529803*c_1001_1^8 + 1182138003090/457967529803*c_1001_1^7 - 121451514511787/457967529803*c_1001_1^6 - 29580037745/1072523489*c_1001_1^5 - 540221680466033/915935059606*c_1001_1^4 - 8455713869883/65423932829*c_1001_1^3 - 19604406536900/65423932829*c_1001_1^2 - 20518477070064/457967529803*c_1001_1 - 53379418746723/915935059606, c_0011_0 - 1, c_0011_10 - 5580/682577*c_1001_1^10 - 7775/195022*c_1001_1^9 - 235269/1365154*c_1001_1^8 - 1000425/1365154*c_1001_1^7 - 989705/682577*c_1001_1^6 - 899201/195022*c_1001_1^5 - 7859885/1365154*c_1001_1^4 - 2079309/195022*c_1001_1^3 - 1802493/195022*c_1001_1^2 - 6491125/1365154*c_1001_1 - 1441473/1365154, c_0011_11 + 82422/682577*c_1001_1^10 + 12615/195022*c_1001_1^9 + 2741931/1365154*c_1001_1^8 + 986711/682577*c_1001_1^7 + 7914233/682577*c_1001_1^6 + 1870451/195022*c_1001_1^5 + 35058603/1365154*c_1001_1^4 + 2035285/97511*c_1001_1^3 + 2615785/195022*c_1001_1^2 + 4271759/1365154*c_1001_1 + 813564/682577, c_0011_12 + 71195/1365154*c_1001_1^10 + 20985/195022*c_1001_1^9 + 1206395/1365154*c_1001_1^8 + 1350248/682577*c_1001_1^7 + 7713175/1365154*c_1001_1^6 + 2349719/195022*c_1001_1^5 + 22356021/1365154*c_1001_1^4 + 5105573/195022*c_1001_1^3 + 3576593/195022*c_1001_1^2 + 10881503/1365154*c_1001_1 + 463471/682577, c_0011_7 - 102505/2730308*c_1001_1^10 - 29255/390044*c_1001_1^9 - 1695811/2730308*c_1001_1^8 - 935980/682577*c_1001_1^7 - 10346607/2730308*c_1001_1^6 - 3217499/390044*c_1001_1^5 - 27703189/2730308*c_1001_1^4 - 6738091/390044*c_1001_1^3 - 3977437/390044*c_1001_1^2 - 9506547/2730308*c_1001_1 - 466247/1365154, c_0011_8 - 5580/682577*c_1001_1^10 - 7775/195022*c_1001_1^9 - 235269/1365154*c_1001_1^8 - 1000425/1365154*c_1001_1^7 - 989705/682577*c_1001_1^6 - 899201/195022*c_1001_1^5 - 7859885/1365154*c_1001_1^4 - 2079309/195022*c_1001_1^3 - 1802493/195022*c_1001_1^2 - 5125971/1365154*c_1001_1 - 1441473/1365154, c_0101_0 - 1, c_0101_11 - 4610/97511*c_1001_1^10 + 8335/195022*c_1001_1^9 - 148761/195022*c_1001_1^8 + 49395/97511*c_1001_1^7 - 377462/97511*c_1001_1^6 + 400723/195022*c_1001_1^5 - 1002713/195022*c_1001_1^4 + 390478/97511*c_1001_1^3 + 1193869/195022*c_1001_1^2 + 1018639/195022*c_1001_1 + 97877/97511, c_0101_12 + 83075/682577*c_1001_1^10 + 7243/97511*c_1001_1^9 + 2759555/1365154*c_1001_1^8 + 1123231/682577*c_1001_1^7 + 7992744/682577*c_1001_1^6 + 1070471/97511*c_1001_1^5 + 35662195/1365154*c_1001_1^4 + 2352261/97511*c_1001_1^3 + 1327567/97511*c_1001_1^2 + 3986111/1365154*c_1001_1 + 655887/682577, c_0101_2 + 31721/682577*c_1001_1^10 + 3707/97511*c_1001_1^9 + 529457/682577*c_1001_1^8 + 510536/682577*c_1001_1^7 + 3144867/682577*c_1001_1^6 + 462437/97511*c_1001_1^5 + 7573352/682577*c_1001_1^4 + 1013857/97511*c_1001_1^3 + 799314/97511*c_1001_1^2 + 1314587/682577*c_1001_1 + 74602/682577, c_0110_10 + 5580/682577*c_1001_1^10 + 7775/195022*c_1001_1^9 + 235269/1365154*c_1001_1^8 + 1000425/1365154*c_1001_1^7 + 989705/682577*c_1001_1^6 + 899201/195022*c_1001_1^5 + 7859885/1365154*c_1001_1^4 + 2079309/195022*c_1001_1^3 + 1802493/195022*c_1001_1^2 + 6491125/1365154*c_1001_1 + 1441473/1365154, c_1001_0 - 114796/682577*c_1001_1^10 - 10950/97511*c_1001_1^9 - 3818469/1365154*c_1001_1^8 - 1633767/682577*c_1001_1^7 - 11137611/682577*c_1001_1^6 - 1532908/97511*c_1001_1^5 - 50808899/1365154*c_1001_1^4 - 3366118/97511*c_1001_1^3 - 2126881/97511*c_1001_1^2 - 6615285/1365154*c_1001_1 - 730489/682577, c_1001_1^11 + c_1001_1^10 + 17*c_1001_1^9 + 20*c_1001_1^8 + 104*c_1001_1^7 + 129*c_1001_1^6 + 265*c_1001_1^5 + 293*c_1001_1^4 + 224*c_1001_1^3 + 93*c_1001_1^2 + 22*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB