Magma V2.19-8 Wed Aug 21 2013 00:20:01 on localhost [Seed = 4615616] Type ? for help. Type -D to quit. Loading file "K14a19484__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14a19484 geometric_solution 10.40761859 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.213137320414 1.361914567727 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.239053474451 0.371180733497 6 7 3 0 0132 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.341260033928 0.390544526429 2 1 6 4 2310 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280476753997 1.908500265900 3 5 1 8 3120 3120 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.128993730395 1.145363640520 9 4 8 1 0132 3120 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.380803535083 0.805956881137 2 10 3 7 0132 0132 3120 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.278087036250 0.738127550390 11 2 9 6 0132 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.616038127931 0.465964179014 11 12 4 5 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952930242802 1.260239991605 5 12 7 12 0132 1302 1023 1230 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 -18 -1 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045089822518 1.842755096290 11 6 11 12 1023 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256804680076 1.760329269113 7 10 8 10 0132 1023 2103 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.256804680076 1.760329269113 9 8 10 9 3012 0132 0132 2031 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 -19 0 1 18 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986729620520 0.542340999602 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : negation(d['c_1001_12']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_12' : negation(d['c_0011_5']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_1001_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_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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_0101_7'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_12']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_1100_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_0101_12']), '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_5']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : 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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_7, c_1001_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 119211/365332*c_1100_1^3 - 179944/273999*c_1100_1^2 + 1105715/273999*c_1100_1 + 2381187/365332, c_0011_0 - 1, c_0011_10 + 2/69*c_1100_1^3 + 1/23*c_1100_1^2 + 71/69*c_1100_1 - 26/69, c_0011_12 + 7/69*c_1100_1^3 - 8/23*c_1100_1^2 + 76/69*c_1100_1 + 47/69, c_0011_4 + 2/69*c_1100_1^3 + 1/23*c_1100_1^2 + 71/69*c_1100_1 - 26/69, c_0011_5 + 5/69*c_1100_1^3 - 9/23*c_1100_1^2 + 74/69*c_1100_1 + 4/69, c_0101_0 - 1, c_0101_1 + 2/69*c_1100_1^3 + 1/23*c_1100_1^2 + 2/69*c_1100_1 + 112/69, c_0101_11 + 4/69*c_1100_1^3 + 2/23*c_1100_1^2 + 4/69*c_1100_1 + 86/69, c_0101_12 - 2/69*c_1100_1^3 - 1/23*c_1100_1^2 - 2/69*c_1100_1 + 26/69, c_0101_3 - 2/69*c_1100_1^3 - 1/23*c_1100_1^2 - 71/69*c_1100_1 - 112/69, c_0101_7 + 1, c_1001_12 + 4/69*c_1100_1^3 + 2/23*c_1100_1^2 + 4/69*c_1100_1 + 17/69, c_1100_1^4 - 2*c_1100_1^3 + 13*c_1100_1^2 + 18*c_1100_1 + 11 ], 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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_7, c_1001_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 85/97812*c_1100_1^3 - 347/97812*c_1100_1^2 + 245/32604*c_1100_1 - 157/48906, c_0011_0 - 1, c_0011_10 + 2/13*c_1100_1^3 - 3/13*c_1100_1^2 + 11/13*c_1100_1 - 18/13, c_0011_12 + 1/13*c_1100_1^3 - 8/13*c_1100_1^2 + 12/13*c_1100_1 - 9/13, c_0011_4 + 2/13*c_1100_1^3 - 3/13*c_1100_1^2 + 11/13*c_1100_1 - 18/13, c_0011_5 - 1/13*c_1100_1^3 - 5/13*c_1100_1^2 + 14/13*c_1100_1 - 4/13, c_0101_0 - 1, c_0101_1 - 2/13*c_1100_1^3 + 3/13*c_1100_1^2 + 2/13*c_1100_1 + 5/13, c_0101_11 - 4/13*c_1100_1^3 + 6/13*c_1100_1^2 + 4/13*c_1100_1 - 16/13, c_0101_12 - 1, c_0101_3 - 2/13*c_1100_1^3 + 3/13*c_1100_1^2 - 11/13*c_1100_1 - 8/13, c_0101_7 + 1, c_1001_12 - 2/13*c_1100_1^3 + 3/13*c_1100_1^2 + 2/13*c_1100_1 + 5/13, c_1100_1^4 - 2*c_1100_1^3 + 3*c_1100_1^2 - 2*c_1100_1 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 28.170 Total time: 28.379 seconds, Total memory usage: 181.50MB