Magma V2.19-8 Tue Aug 20 2013 23:48:52 on localhost [Seed = 2732902461] Type ? for help. Type -D to quit. Loading file "L12n1098__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1098 geometric_solution 11.57741084 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356981386987 0.684988716418 0 5 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614410344443 1.254168685681 3 0 8 7 0213 0132 0132 0132 1 0 0 1 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 1 -1 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 0.401685699122 1.148066985878 2 9 5 0 0213 0132 1302 0132 1 0 0 1 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 0 0 0 -1 0 2 -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 0.939693457493 1.048826363010 10 5 0 8 0132 1302 0132 3120 1 0 1 1 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 0 -1 1 -1 0 1 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 0.821270327165 0.970350569871 3 1 11 4 2031 0132 0132 2031 1 1 1 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 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 0.190972636357 0.777558314978 11 10 1 8 0213 3120 0132 0132 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 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 0.223969283115 0.728482357836 10 9 2 1 3120 0213 0132 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223969283115 0.728482357836 4 9 6 2 3120 0321 0132 0132 1 0 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 0 -1 1 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 0.183590313706 0.996739728225 11 3 7 8 2103 0132 0213 0321 1 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 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 0.642532836209 0.617539989243 4 6 11 7 0132 3120 2310 3120 0 0 1 1 0 0 1 -1 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 -2 2 1 0 -1 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 0.684988716418 0.643018613013 6 10 9 5 0213 3201 2103 0132 1 1 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006833330609 1.136850908331 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_5']), 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], '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_0101_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1100_1']})} 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_3, c_0011_6, c_0011_8, c_0101_1, c_0101_5, c_0110_5, c_1001_0, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1435108013/13327592*c_1100_1^11 - 489655739/783976*c_1100_1^10 + 10338138047/13327592*c_1100_1^9 + 47101968105/13327592*c_1100_1^8 - 7336688567/783976*c_1100_1^7 + 180741535549/13327592*c_1100_1^6 - 196645117153/13327592*c_1100_1^5 + 113065012395/13327592*c_1100_1^4 - 1007877481/783976*c_1100_1^3 - 1801473173/13327592*c_1100_1^2 + 980816789/13327592*c_1100_1 - 4475470069/13327592, c_0011_0 - 1, c_0011_10 - 4408/31433*c_1100_1^11 - 1744/1849*c_1100_1^10 + 12683/125732*c_1100_1^9 + 140308/31433*c_1100_1^8 - 58293/7396*c_1100_1^7 + 376794/31433*c_1100_1^6 - 658537/62866*c_1100_1^5 + 174453/62866*c_1100_1^4 - 293/7396*c_1100_1^3 - 63985/62866*c_1100_1^2 + 193639/125732*c_1100_1 + 7958/31433, c_0011_11 - 1, c_0011_3 + 13591/125732*c_1100_1^11 + 5347/7396*c_1100_1^10 - 8769/125732*c_1100_1^9 - 396067/125732*c_1100_1^8 + 24445/3698*c_1100_1^7 - 620617/62866*c_1100_1^6 + 1187249/125732*c_1100_1^5 - 701035/125732*c_1100_1^4 + 10265/7396*c_1100_1^3 + 7141/125732*c_1100_1^2 - 380/31433*c_1100_1 + 36885/62866, c_0011_6 + 7958/31433*c_1100_1^11 + 3068/1849*c_1100_1^10 - 18100/31433*c_1100_1^9 - 1094971/125732*c_1100_1^8 + 29196/1849*c_1100_1^7 - 2510539/125732*c_1100_1^6 + 546334/31433*c_1100_1^5 - 264591/62866*c_1100_1^4 - 6517/3698*c_1100_1^3 - 58683/125732*c_1100_1^2 + 95817/62866*c_1100_1 - 4243/125732, c_0011_8 + 2245/7396*c_1100_1^11 + 3384/1849*c_1100_1^10 - 13063/7396*c_1100_1^9 - 38175/3698*c_1100_1^8 + 89909/3698*c_1100_1^7 - 59638/1849*c_1100_1^6 + 249629/7396*c_1100_1^5 - 56167/3698*c_1100_1^4 - 3579/7396*c_1100_1^3 - 2081/3698*c_1100_1^2 + 2644/1849*c_1100_1 + 661/3698, c_0101_1 + 38/1849*c_1100_1^11 + 1085/3698*c_1100_1^10 + 3731/3698*c_1100_1^9 - 3503/3698*c_1100_1^8 - 15151/3698*c_1100_1^7 + 14126/1849*c_1100_1^6 - 19740/1849*c_1100_1^5 + 42633/3698*c_1100_1^4 - 12005/3698*c_1100_1^3 - 2461/3698*c_1100_1^2 - 1799/3698*c_1100_1 - 228/1849, c_0101_5 - 7855/62866*c_1100_1^11 - 1470/1849*c_1100_1^10 + 46167/125732*c_1100_1^9 + 240871/62866*c_1100_1^8 - 58475/7396*c_1100_1^7 + 904323/62866*c_1100_1^6 - 528612/31433*c_1100_1^5 + 728693/62866*c_1100_1^4 - 53217/7396*c_1100_1^3 + 76246/31433*c_1100_1^2 - 5859/125732*c_1100_1 + 11999/62866, c_0110_5 + 7855/62866*c_1100_1^11 + 1470/1849*c_1100_1^10 - 46167/125732*c_1100_1^9 - 240871/62866*c_1100_1^8 + 58475/7396*c_1100_1^7 - 904323/62866*c_1100_1^6 + 528612/31433*c_1100_1^5 - 728693/62866*c_1100_1^4 + 53217/7396*c_1100_1^3 - 76246/31433*c_1100_1^2 - 119873/125732*c_1100_1 - 11999/62866, c_1001_0 - 228/1849*c_1100_1^11 - 1406/1849*c_1100_1^10 + 1651/3698*c_1100_1^9 + 11773/3698*c_1100_1^8 - 32977/3698*c_1100_1^7 + 65311/3698*c_1100_1^6 - 40574/1849*c_1100_1^5 + 32964/1849*c_1100_1^4 - 44457/3698*c_1100_1^3 + 12917/3698*c_1100_1^2 + 1549/3698*c_1100_1 + 887/3698, c_1001_10 - 2337/31433*c_1100_1^11 - 1977/7396*c_1100_1^10 + 191935/125732*c_1100_1^9 + 179405/125732*c_1100_1^8 - 93333/7396*c_1100_1^7 + 689958/31433*c_1100_1^6 - 801400/31433*c_1100_1^5 + 2640277/125732*c_1100_1^4 - 40395/7396*c_1100_1^3 - 237205/125732*c_1100_1^2 - 48677/125732*c_1100_1 + 309/62866, c_1100_1^12 + 6*c_1100_1^11 - 6*c_1100_1^10 - 34*c_1100_1^9 + 80*c_1100_1^8 - 110*c_1100_1^7 + 116*c_1100_1^6 - 58*c_1100_1^5 + 4*c_1100_1^4 - 2*c_1100_1^3 + 2*c_1100_1^2 + 2*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB