Magma V2.19-8 Tue Aug 20 2013 23:43:39 on localhost [Seed = 1578646356] Type ? for help. Type -D to quit. Loading file "K13n141__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n141 geometric_solution 10.74390010 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 1 -2 1 2 0 0 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145987701954 0.810518302041 0 3 5 4 0132 1023 0132 3201 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 -2 0 0 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.072121265110 1.089204120855 3 0 7 6 1023 0132 0132 0132 0 0 0 0 0 -1 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 0 0 0 0 -1 0 1 2 0 0 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320619996297 1.070589175097 1 2 7 0 1023 1023 0321 0132 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 -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 0.177110021495 0.979455067203 8 1 0 7 0132 2310 0132 0321 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 1 -1 0 0 0 2 -2 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.031071343859 0.801672188207 9 10 8 1 0132 0132 2310 0132 0 0 0 0 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 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 0.167734099701 1.018560961210 10 10 2 7 0321 3201 0132 1230 0 0 0 0 0 1 -1 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 1 -1 0 0 0 2 -2 -1 -1 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795210631162 0.893973616576 6 4 3 2 3012 0321 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 2 -2 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571532771956 0.891636393396 4 5 9 11 0132 3201 0213 0132 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 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 0.493464321441 0.467113901076 5 8 11 11 0132 0213 2103 0321 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 1 -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 0.378106953413 0.518334003370 6 5 6 11 0321 0132 2310 1023 0 0 0 0 0 -1 1 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 -1 1 0 0 0 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444510277943 0.624480026219 9 9 8 10 2103 0321 0132 1023 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598075319552 0.553132228804 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_0110_11'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0110_11'], '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_1'], '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' : 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' : 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_0110_11']), 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0110_11']), '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'], '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' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3/14*c_1001_7^3 + 10/21*c_1001_7^2 + 37/42*c_1001_7 + 17/21, c_0011_0 - 1, c_0011_10 + 2*c_1001_7^3 + 4*c_1001_7^2 + 6*c_1001_7 + 6, c_0011_11 - c_1001_7^3 - 3*c_1001_7^2 - 5*c_1001_7 - 5, c_0011_4 + 4*c_1001_7^3 + 10*c_1001_7^2 + 17*c_1001_7 + 18, c_0011_6 + 2*c_1001_7^3 + 5*c_1001_7^2 + 9*c_1001_7 + 9, c_0101_0 - c_1001_7^3 - 2*c_1001_7^2 - 4*c_1001_7 - 4, c_0101_1 - 3*c_1001_7^3 - 8*c_1001_7^2 - 14*c_1001_7 - 15, c_0101_10 + c_1001_7^3 + 3*c_1001_7^2 + 5*c_1001_7 + 5, c_0101_2 + c_1001_7 + 1, c_0101_3 - c_1001_7^2 - 2*c_1001_7 - 2, c_0110_11 - 1, c_1001_7^4 + 4*c_1001_7^3 + 8*c_1001_7^2 + 11*c_1001_7 + 7 ], 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 202737/299*c_1001_7^5 + 1264633/598*c_1001_7^4 + 4898551/1196*c_1001_7^3 + 1803723/299*c_1001_7^2 + 6298793/1196*c_1001_7 + 489581/299, c_0011_0 - 1, c_0011_10 - 10/23*c_1001_7^5 - 31/23*c_1001_7^4 - 157/46*c_1001_7^3 - 199/46*c_1001_7^2 - 173/46*c_1001_7 - 25/23, c_0011_11 - 36/23*c_1001_7^5 - 130/23*c_1001_7^4 - 255/23*c_1001_7^3 - 372/23*c_1001_7^2 - 339/23*c_1001_7 - 113/23, c_0011_4 + 140/23*c_1001_7^5 + 434/23*c_1001_7^4 + 823/23*c_1001_7^3 + 1209/23*c_1001_7^2 + 1027/23*c_1001_7 + 281/23, c_0011_6 - c_1001_7 - 1, c_0101_0 + 50/23*c_1001_7^5 + 155/23*c_1001_7^4 + 601/46*c_1001_7^3 + 903/46*c_1001_7^2 + 773/46*c_1001_7 + 125/23, c_0101_1 - 86/23*c_1001_7^5 - 285/23*c_1001_7^4 - 1111/46*c_1001_7^3 - 1647/46*c_1001_7^2 - 1451/46*c_1001_7 - 215/23, c_0101_10 - 50/23*c_1001_7^5 - 155/23*c_1001_7^4 - 601/46*c_1001_7^3 - 903/46*c_1001_7^2 - 773/46*c_1001_7 - 125/23, c_0101_2 + 140/23*c_1001_7^5 + 434/23*c_1001_7^4 + 823/23*c_1001_7^3 + 1209/23*c_1001_7^2 + 1027/23*c_1001_7 + 281/23, c_0101_3 + 104/23*c_1001_7^5 + 304/23*c_1001_7^4 + 568/23*c_1001_7^3 + 837/23*c_1001_7^2 + 688/23*c_1001_7 + 191/23, c_0110_11 - 50/23*c_1001_7^5 - 155/23*c_1001_7^4 - 601/46*c_1001_7^3 - 903/46*c_1001_7^2 - 819/46*c_1001_7 - 125/23, c_1001_7^6 + 7/2*c_1001_7^5 + 29/4*c_1001_7^4 + 45/4*c_1001_7^3 + 45/4*c_1001_7^2 + 11/2*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.310 Total time: 3.520 seconds, Total memory usage: 32.09MB