Magma V2.19-8 Wed Aug 21 2013 00:57:03 on localhost [Seed = 408814325] Type ? for help. Type -D to quit. Loading file "L13n3653__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3653 geometric_solution 12.46757693 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -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 -1 0 1 0 0 1 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502031538663 0.766835357075 0 5 7 6 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792972164096 0.643522451757 7 0 9 8 0132 0132 0132 0132 1 0 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694068608029 1.095896366277 5 10 6 0 2103 0132 0132 0132 1 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 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 0.148892187988 0.866743202496 9 10 0 7 0132 0321 0132 0132 1 0 1 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 -1 1 -1 0 1 0 -1 0 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082858452207 0.993676572426 11 1 3 12 0132 0132 2103 0132 1 0 1 1 0 0 0 0 1 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 1 0 0 -1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239665935170 0.617035582973 12 10 1 3 3120 3012 0132 0132 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 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 0.576776563352 0.587372314751 2 11 4 1 0132 0132 0132 0132 1 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 0 0 0 0 1 -1 0 0 0 0 0 3 -3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887685134924 1.184178187276 11 10 2 12 3120 0213 0132 3120 1 0 1 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 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501569924863 0.543425695814 4 12 11 2 0132 3120 3120 0132 1 0 1 1 0 1 -1 0 1 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 -4 3 1 1 0 -1 0 0 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236316578027 0.846524697851 6 3 8 4 1230 0132 0213 0321 1 1 1 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 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337538265792 0.484962000196 5 7 9 8 0132 0132 3120 3120 1 0 1 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 -1 1 0 -1 0 1 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079380487558 0.836938563723 8 9 5 6 3120 3120 0132 3120 1 0 1 1 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 1 -1 3 -3 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595649603725 0.917257240224 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_8']), '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_11'], 'c_0101_10' : d['c_0011_8'], '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_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_1001_1'], '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_0011_10']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_12']), '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_0101_0']), '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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_3'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_11'])})} 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_12, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 11/405*c_1100_0^3 + 17/135*c_1100_0^2 + 38/135*c_1100_0 + 8/45, c_0011_0 - 1, c_0011_10 + 1/45*c_1100_0^3 + 2/15*c_1100_0^2 - 2/15*c_1100_0 - 2/5, c_0011_12 + 1/5*c_1100_0^3 + 8/15*c_1100_0^2 + 4/5*c_1100_0 + 2/5, c_0011_4 - 1/15*c_1100_0^3 - 1/15*c_1100_0^2 + 2/5*c_1100_0 + 6/5, c_0011_8 + 2/15*c_1100_0^3 + 7/15*c_1100_0^2 + 1/5*c_1100_0 - 2/5, c_0101_0 - 1, c_0101_1 - 1/15*c_1100_0^3 - 1/15*c_1100_0^2 - 3/5*c_1100_0 - 4/5, c_0101_11 + 2/15*c_1100_0^3 + 7/15*c_1100_0^2 + 6/5*c_1100_0 - 2/5, c_0101_3 - 1/15*c_1100_0^3 - 2/5*c_1100_0^2 - 8/5*c_1100_0 - 9/5, c_0101_7 - 1/15*c_1100_0^3 - 2/5*c_1100_0^2 - 3/5*c_1100_0 - 9/5, c_1001_0 - 1/3*c_1100_0^2, c_1001_1 - 1/15*c_1100_0^3 - 1/15*c_1100_0^2 - 3/5*c_1100_0 + 1/5, c_1100_0^4 + 3*c_1100_0^3 + 6*c_1100_0^2 + 9 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 237520321/6932160*c_1100_0^7 - 2686393/346608*c_1100_0^6 - 1131574919/27728640*c_1100_0^5 + 1056726377/55457280*c_1100_0^4 + 1718439887/55457280*c_1100_0^3 - 516122809/221829120*c_1100_0^2 + 2448493033/221829120*c_1100_0 + 907433477/110914560, c_0011_0 - 1, c_0011_10 + 1704/145*c_1100_0^7 - 1104/145*c_1100_0^6 + 646/29*c_1100_0^5 - 2389/145*c_1100_0^4 + 1907/145*c_1100_0^3 + 3273/580*c_1100_0^2 - 353/116*c_1100_0 + 933/290, c_0011_12 + 176/29*c_1100_0^7 - 544/145*c_1100_0^6 + 1716/145*c_1100_0^5 - 1078/145*c_1100_0^4 + 938/145*c_1100_0^3 + 1283/290*c_1100_0^2 - 413/290*c_1100_0 + 332/145, c_0011_4 - 1792/145*c_1100_0^7 + 176/29*c_1100_0^6 - 3912/145*c_1100_0^5 + 2288/145*c_1100_0^4 - 2662/145*c_1100_0^3 - 749/145*c_1100_0^2 + 53/145*c_1100_0 - 781/145, c_0011_8 + 1984/145*c_1100_0^7 - 1024/145*c_1100_0^6 + 848/29*c_1100_0^5 - 2384/145*c_1100_0^4 + 2912/145*c_1100_0^3 + 822/145*c_1100_0^2 - 31/29*c_1100_0 + 874/145, c_0101_0 - 1, c_0101_1 + 544/145*c_1100_0^7 - 408/145*c_1100_0^6 + 1316/145*c_1100_0^5 - 852/145*c_1100_0^4 + 219/29*c_1100_0^3 + 317/290*c_1100_0^2 - 143/290*c_1100_0 + 336/145, c_0101_11 + 544/145*c_1100_0^7 - 408/145*c_1100_0^6 + 1316/145*c_1100_0^5 - 852/145*c_1100_0^4 + 219/29*c_1100_0^3 + 317/290*c_1100_0^2 - 143/290*c_1100_0 + 336/145, c_0101_3 + c_1100_0, c_0101_7 - 544/145*c_1100_0^7 + 176/145*c_1100_0^6 - 968/145*c_1100_0^5 + 388/145*c_1100_0^4 - 486/145*c_1100_0^3 - 579/145*c_1100_0^2 + 57/145*c_1100_0 - 44/29, c_1001_0 - 1792/145*c_1100_0^7 + 176/29*c_1100_0^6 - 3912/145*c_1100_0^5 + 2288/145*c_1100_0^4 - 2662/145*c_1100_0^3 - 749/145*c_1100_0^2 + 53/145*c_1100_0 - 781/145, c_1001_1 - 1, c_1100_0^8 + 7/4*c_1100_0^6 - 1/8*c_1100_0^5 + 5/8*c_1100_0^4 + 41/32*c_1100_0^3 + 3/32*c_1100_0^2 + 5/16*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB