Magma V2.19-8 Wed Aug 21 2013 00:01:41 on localhost [Seed = 2732903185] Type ? for help. Type -D to quit. Loading file "L14n5603__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n5603 geometric_solution 11.22942788 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 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 0 1 -1 -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 0.806127982811 0.980024712831 0 4 6 5 0132 0132 0132 0132 1 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 16 0 -16 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 0.424682842476 0.320734335843 7 0 8 0 0132 0132 0132 0213 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 0 -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 0.806127982811 0.980024712831 5 8 8 0 0132 0132 0321 0132 0 1 1 1 0 1 0 -1 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 0 -1 0 0 1 -1 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499389798651 0.608601089751 8 1 6 9 0213 0132 2103 0132 1 1 1 1 0 -1 0 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 -16 1 15 -1 0 1 0 0 0 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869651703819 0.778031588462 3 10 1 7 0132 0132 0132 0321 1 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 16 -16 0 0 0 0 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969280194846 1.239736598134 4 9 10 1 2103 0132 1302 0132 1 1 1 1 0 -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 -15 15 0 -1 0 0 1 -1 0 0 1 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731460479548 0.996781481351 2 5 11 9 0132 0321 0132 2310 1 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 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608601089751 0.500610201349 4 3 3 2 0213 0132 0321 0132 0 1 1 1 0 -1 0 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 -1 0 1 0 0 0 0 1 0 0 -1 16 -15 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499389798651 0.608601089751 7 6 4 11 3201 0132 0132 1230 1 1 1 1 0 1 -1 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 15 -15 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695393471197 0.453404256336 6 5 11 11 2031 0132 3012 1302 1 1 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 -15 0 15 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521485824407 0.652084537896 9 10 10 7 3012 1230 2031 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 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731460479548 0.996781481351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_2'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], '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' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 866375296/5716069*c_1001_1^4*c_1001_2 - 3085772992/5716069*c_1001_1^4 - 3528853184/5716069*c_1001_1^3*c_100\ 1_2 - 2759725312/5716069*c_1001_1^3 - 4079753952/5716069*c_1001_1^2*c_1001_2 + 1833484880/5716069*c_1001_1^2 - 2013583984/5716069*c_1001_1*c_1001_\ 2 + 7328016096/5716069*c_1001_1 + 1559359896/5716069*c_1001_2 - 347463772/5716069, c_0011_0 - 1, c_0011_10 + 18/109*c_1001_1^4*c_1001_2 - 158/109*c_1001_1^4 - 87/109*c_1001_1^3*c_1001_2 - 181/109*c_1001_1^3 - 129/218*c_1001_1^2*c_1001_2 - 321/218*c_1001_1^2 - 43/109*c_1001_1*c_1001_2 + 111/109*c_1001_1 - 68/109*c_1001_2 - 45/109, c_0011_11 - 92/109*c_1001_1^4*c_1001_2 - 16/109*c_1001_1^4 - 173/109*c_1001_1^3*c_1001_2 + 41/109*c_1001_1^3 - 249/218*c_1001_1^2*c_1001_2 + 151/218*c_1001_1^2 - 5/436*c_1001_1*c_1001_2 + 383/436*c_1001_1 - 51/436*c_1001_2 + 157/436, c_0011_6 + 76/109*c_1001_1^4*c_1001_2 + 108/109*c_1001_1^4 + 214/109*c_1001_1^3*c_1001_2 + 132/109*c_1001_1^3 + 200/109*c_1001_1^2*c_1001_2 + 49/109*c_1001_1^2 - 12/109*c_1001_1*c_1001_2 - 189/218*c_1001_1 + 52/109*c_1001_2 - 53/218, c_0101_0 - 158/109*c_1001_1^4*c_1001_2 - 18/109*c_1001_1^4 - 181/109*c_1001_1^3*c_1001_2 + 87/109*c_1001_1^3 - 321/218*c_1001_1^2*c_1001_2 + 129/218*c_1001_1^2 + 111/109*c_1001_1*c_1001_2 + 43/109*c_1001_1 - 154/109*c_1001_2 + 68/109, c_0101_1 - 18/109*c_1001_1^4*c_1001_2 + 158/109*c_1001_1^4 + 87/109*c_1001_1^3*c_1001_2 + 181/109*c_1001_1^3 + 129/218*c_1001_1^2*c_1001_2 + 321/218*c_1001_1^2 + 43/109*c_1001_1*c_1001_2 - 111/109*c_1001_1 + 68/109*c_1001_2 + 45/109, c_0101_10 + 92/109*c_1001_1^4*c_1001_2 + 16/109*c_1001_1^4 + 173/109*c_1001_1^3*c_1001_2 - 41/109*c_1001_1^3 + 249/218*c_1001_1^2*c_1001_2 - 151/218*c_1001_1^2 + 5/436*c_1001_1*c_1001_2 - 383/436*c_1001_1 + 51/436*c_1001_2 - 157/436, c_0101_11 - 28/109*c_1001_1^4*c_1001_2 + 52/109*c_1001_1^4 - 10/109*c_1001_1^3*c_1001_2 + 112/109*c_1001_1^3 + 64/109*c_1001_1^2*c_1001_2 + 177/109*c_1001_1^2 + 79/109*c_1001_1*c_1001_2 - 91/218*c_1001_1 + 21/109*c_1001_2 + 31/218, c_0101_2 - 158/109*c_1001_1^4*c_1001_2 - 18/109*c_1001_1^4 - 181/109*c_1001_1^3*c_1001_2 + 87/109*c_1001_1^3 - 321/218*c_1001_1^2*c_1001_2 + 129/218*c_1001_1^2 + 111/109*c_1001_1*c_1001_2 + 43/109*c_1001_1 - 154/109*c_1001_2 + 68/109, c_1001_0 - 1, c_1001_1^5 + c_1001_1^4*c_1001_2 + c_1001_1^4 + c_1001_1^3*c_1001_2 + 1/4*c_1001_1^3 + 1/4*c_1001_1^2*c_1001_2 - 5/4*c_1001_1^2 + 5/16*c_1001_1 - 1/16, c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB