Magma V2.19-8 Wed Aug 21 2013 00:57:01 on localhost [Seed = 2050777237] Type ? for help. Type -D to quit. Loading file "L13n3461__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3461 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 0 1 1 1 0 -1 1 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 2 -1 1 0 0 -1 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887685134924 1.184178187276 0 5 7 6 0132 0132 0132 0132 0 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 0 1 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079380487558 0.836938563723 8 0 7 6 0132 0132 0321 0321 0 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 1 -1 0 1 0 0 -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 0.694068608029 1.095896366277 5 8 9 0 0132 0132 0132 0132 0 1 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 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 0 0 0 0 0 0 0 0 0 0 0.792972164096 0.643522451757 10 6 0 8 0132 0321 0132 0132 0 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 1 -1 0 0 1 -1 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082858452207 0.993676572426 3 1 11 12 0132 0132 0132 0132 0 1 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 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 0.239665935170 0.617035582973 11 2 1 4 0132 0321 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587531748749 0.651264806564 10 11 2 1 2031 0132 0321 0132 0 1 1 1 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 -1 1 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 0 0 0.916663081685 0.999414557507 2 3 4 12 0132 0132 0132 0213 0 1 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 0 0 0 0 0 0 0 0 -2 1 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 0.502031538663 0.766835357075 10 11 12 3 1023 0213 0213 0132 0 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576776563352 0.587372314751 4 9 7 12 0132 1023 1302 1230 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033174694474 1.389097419543 6 7 9 5 0132 0132 0213 0132 0 1 1 1 0 1 0 -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 1 0 -1 0 0 0 0 0 0 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595649603725 0.917257240224 10 9 5 8 3012 0213 0132 0213 0 1 1 1 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 0 1 -1 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 0.807486746513 1.120673663981 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0101_12'], '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_0011_10'], 'c_0101_10' : d['c_0011_11'], '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' : d['c_1010_12'], 'c_1100_8' : d['c_1010_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1010_12'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1010_12'], 'c_1100_3' : d['c_1010_12'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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' : d['c_1001_3'], '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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : 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_0'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_2, c_1001_3, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/3*c_1010_12^3 + 2/3*c_1010_12^2 + 4/3*c_1010_12 + 1, c_0011_0 - 1, c_0011_10 - c_1010_12^2 - c_1010_12 - 2, c_0011_11 - c_1010_12^3 - 3*c_1010_12^2 - 5*c_1010_12 - 3, c_0011_12 - c_1010_12^3 - 3*c_1010_12^2 - 4*c_1010_12 - 3, c_0101_0 - c_1010_12 - 1, c_0101_12 - 1/3*c_1010_12^3 - c_1010_12^2 - c_1010_12 - 1, c_0101_2 - c_1010_12^3 - 2*c_1010_12^2 - 2*c_1010_12 - 1, c_1001_0 - 1, c_1001_1 - c_1010_12^2 - c_1010_12 - 3, c_1001_2 - c_1010_12^2 - 2*c_1010_12 - 3, c_1001_3 - 1/3*c_1010_12^3 - c_1010_12^2 - 2*c_1010_12 - 2, c_1001_5 - c_1010_12^3 - 2*c_1010_12^2 - 4*c_1010_12 - 2, c_1010_12^4 + 3*c_1010_12^3 + 6*c_1010_12^2 + 6*c_1010_12 + 3 ], 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_0101_0, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_2, c_1001_3, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 60863/95616*c_1010_12^7 + 41987/15936*c_1010_12^6 - 355397/95616*c_1010_12^5 + 184175/47808*c_1010_12^4 - 127819/23904*c_1010_12^3 + 25541/10624*c_1010_12^2 - 55345/31872*c_1010_12 + 12577/47808, c_0011_0 - 1, c_0011_10 + 1/2*c_1010_12^7 - 2*c_1010_12^6 + 7/2*c_1010_12^5 - 6*c_1010_12^4 + 8*c_1010_12^3 - 11/2*c_1010_12^2 + 13/2*c_1010_12 - 2, c_0011_11 + 1/4*c_1010_12^7 - 1/2*c_1010_12^6 - 1/4*c_1010_12^5 + 1/2*c_1010_12^4 - c_1010_12^3 + 13/4*c_1010_12^2 + 1/4*c_1010_12 + 5/2, c_0011_12 + 1/2*c_1010_12^7 - 2*c_1010_12^6 + 7/2*c_1010_12^5 - 6*c_1010_12^4 + 8*c_1010_12^3 - 9/2*c_1010_12^2 + 13/2*c_1010_12 - 1, c_0101_0 + 1, c_0101_12 + 5/8*c_1010_12^7 - 9/4*c_1010_12^6 + 23/8*c_1010_12^5 - 15/4*c_1010_12^4 + 9/2*c_1010_12^3 + 1/8*c_1010_12^2 + 29/8*c_1010_12 + 3/4, c_0101_2 + 1/2*c_1010_12^7 - 2*c_1010_12^6 + 7/2*c_1010_12^5 - 6*c_1010_12^4 + 8*c_1010_12^3 - 11/2*c_1010_12^2 + 13/2*c_1010_12 - 2, c_1001_0 - 1, c_1001_1 - c_1010_12, c_1001_2 - 1/2*c_1010_12^7 + 2*c_1010_12^6 - 7/2*c_1010_12^5 + 6*c_1010_12^4 - 8*c_1010_12^3 + 9/2*c_1010_12^2 - 11/2*c_1010_12 + 1, c_1001_3 - 5/8*c_1010_12^7 + 9/4*c_1010_12^6 - 23/8*c_1010_12^5 + 15/4*c_1010_12^4 - 9/2*c_1010_12^3 - 1/8*c_1010_12^2 - 21/8*c_1010_12 - 3/4, c_1001_5 - 1, c_1010_12^8 - 4*c_1010_12^7 + 7*c_1010_12^6 - 12*c_1010_12^5 + 16*c_1010_12^4 - 11*c_1010_12^3 + 15*c_1010_12^2 - 4*c_1010_12 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB