Magma V2.19-8 Wed Aug 21 2013 00:57:12 on localhost [Seed = 1949462191] Type ? for help. Type -D to quit. Loading file "L13n3926__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3926 geometric_solution 12.32611840 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682754225787 0.536054365047 0 0 5 4 0132 1302 0132 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093898705082 0.711412007381 6 0 6 7 0132 0132 3012 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881360791030 0.741078300425 8 9 8 0 0132 0132 2031 0132 1 1 1 1 0 -1 1 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 -2 3 -1 -3 0 3 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 0.416568160921 0.827684201704 10 6 1 11 0132 0213 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403711163490 1.359405778589 12 12 10 1 0132 1230 3012 0132 1 1 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 -1 1 0 -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 0.313865331730 1.256508576976 2 2 4 12 0132 1230 0213 2031 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 0 0 0 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 0.210624962417 1.315666132054 12 9 2 8 3120 0213 0132 2031 1 1 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 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549150026584 0.682713327297 3 7 10 3 0132 1302 0132 1302 1 1 1 1 0 1 0 -1 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 3 0 -3 3 0 0 -3 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441964318788 0.639992668906 11 3 7 11 1023 0132 0213 2310 1 1 1 1 0 1 0 -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 2 0 -2 0 0 0 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404100774909 0.711492691511 4 5 11 8 0132 1230 1230 0132 1 1 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 2 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 0.993995410722 0.497349637878 9 9 4 10 3201 1023 0132 3012 1 1 1 1 0 0 0 0 1 0 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 0 0 0 0 2 0 0 -2 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744003817813 1.523658737753 5 6 5 7 0132 1302 3012 3120 1 1 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 0 0 0 2 0 1 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812877477615 0.749114446718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : 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_10'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0011_12']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 122429455959/29176*c_1001_4^10 - 183851052785/29176*c_1001_4^9 - 65557587781/4168*c_1001_4^8 + 1240477135151/29176*c_1001_4^7 - 728582077885/29176*c_1001_4^6 - 610032425673/14588*c_1001_4^5 + 2083388881211/14588*c_1001_4^4 - 2940784042325/14588*c_1001_4^3 + 735643134253/4168*c_1001_4^2 - 2453562798667/29176*c_1001_4 + 491379744475/29176, c_0011_0 - 1, c_0011_10 - 1490/521*c_1001_4^10 + 2285/521*c_1001_4^9 + 5611/521*c_1001_4^8 - 15303/521*c_1001_4^7 + 9016/521*c_1001_4^6 + 15104/521*c_1001_4^5 - 51425/521*c_1001_4^4 + 72260/521*c_1001_4^3 - 62376/521*c_1001_4^2 + 29551/521*c_1001_4 - 5403/521, c_0011_11 - 1821/521*c_1001_4^10 + 2644/521*c_1001_4^9 + 6983/521*c_1001_4^8 - 18156/521*c_1001_4^7 + 9751/521*c_1001_4^6 + 18895/521*c_1001_4^5 - 60966/521*c_1001_4^4 + 84029/521*c_1001_4^3 - 71629/521*c_1001_4^2 + 32297/521*c_1001_4 - 5784/521, c_0011_12 + 3835/521*c_1001_4^10 - 4778/521*c_1001_4^9 - 15468/521*c_1001_4^8 + 34700/521*c_1001_4^7 - 14464/521*c_1001_4^6 - 40501/521*c_1001_4^5 + 119570/521*c_1001_4^4 - 155382/521*c_1001_4^3 + 126096/521*c_1001_4^2 - 50392/521*c_1001_4 + 6747/521, c_0011_7 - 1964/521*c_1001_4^10 + 2393/521*c_1001_4^9 + 7996/521*c_1001_4^8 - 17569/521*c_1001_4^7 + 6963/521*c_1001_4^6 + 21260/521*c_1001_4^5 - 60868/521*c_1001_4^4 + 77439/521*c_1001_4^3 - 61591/521*c_1001_4^2 + 23726/521*c_1001_4 - 3065/521, c_0101_0 - 1, c_0101_1 - 4906/521*c_1001_4^10 + 6097/521*c_1001_4^9 + 19805/521*c_1001_4^8 - 44265/521*c_1001_4^7 + 18369/521*c_1001_4^6 + 51601/521*c_1001_4^5 - 152497/521*c_1001_4^4 + 198367/521*c_1001_4^3 - 161310/521*c_1001_4^2 + 65559/521*c_1001_4 - 9675/521, c_0101_10 - 1746/521*c_1001_4^10 + 2772/521*c_1001_4^9 + 6510/521*c_1001_4^8 - 18391/521*c_1001_4^7 + 11042/521*c_1001_4^6 + 17855/521*c_1001_4^5 - 60715/521*c_1001_4^4 + 86906/521*c_1001_4^3 - 76063/521*c_1001_4^2 + 36315/521*c_1001_4 - 6853/521, c_0101_3 + 2934/521*c_1001_4^10 - 4454/521*c_1001_4^9 - 10918/521*c_1001_4^8 + 29986/521*c_1001_4^7 - 18018/521*c_1001_4^6 - 29327/521*c_1001_4^5 + 100619/521*c_1001_4^4 - 142450/521*c_1001_4^3 + 125325/521*c_1001_4^2 - 59531/521*c_1001_4 + 11677/521, c_0101_5 + 547/521*c_1001_4^10 - 1470/521*c_1001_4^9 - 1463/521*c_1001_4^8 + 8324/521*c_1001_4^7 - 8208/521*c_1001_4^6 - 4598/521*c_1001_4^5 + 25748/521*c_1001_4^4 - 43892/521*c_1001_4^3 + 43123/521*c_1001_4^2 - 26102/521*c_1001_4 + 6326/521, c_1001_0 - 1693/521*c_1001_4^10 + 2661/521*c_1001_4^9 + 6273/521*c_1001_4^8 - 17654/521*c_1001_4^7 + 10822/521*c_1001_4^6 + 16738/521*c_1001_4^5 - 58926/521*c_1001_4^4 + 84521/521*c_1001_4^3 - 74424/521*c_1001_4^2 + 35688/521*c_1001_4 - 7143/521, c_1001_10 + 1191/521*c_1001_4^10 - 1010/521*c_1001_4^9 - 5198/521*c_1001_4^8 + 8668/521*c_1001_4^7 - 1110/521*c_1001_4^6 - 12764/521*c_1001_4^5 + 31974/521*c_1001_4^4 - 35881/521*c_1001_4^3 + 25723/521*c_1001_4^2 - 6550/521*c_1001_4 - 137/521, c_1001_4^11 - 2*c_1001_4^10 - 3*c_1001_4^9 + 12*c_1001_4^8 - 11*c_1001_4^7 - 7*c_1001_4^6 + 39*c_1001_4^5 - 65*c_1001_4^4 + 66*c_1001_4^3 - 41*c_1001_4^2 + 14*c_1001_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.500 Total time: 0.720 seconds, Total memory usage: 32.09MB