Magma V2.19-8 Tue Aug 20 2013 17:54:49 on localhost [Seed = 1048545674] Type ? for help. Type -D to quit. Loading file "10_142__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_142 geometric_solution 6.77081678 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 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 -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 0.842508046977 0.642300439414 0 3 6 5 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 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 0.678730383023 0.783479853189 4 0 7 6 0321 0132 0132 2031 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 1 0 -1 0 0 0 0 -12 -1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510856078970 0.228288241705 4 1 7 0 3201 3120 0321 0132 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 12 0 -12 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389875972426 0.312557051027 2 5 0 3 0321 3012 0132 2310 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 -1 1 0 0 0 0 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294922392724 1.260908598410 4 7 1 6 1230 3120 0132 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 -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 0.179795299633 0.838601228072 7 2 5 1 0213 1302 2031 0132 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 -1 1 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725033391861 0.398615089919 6 5 3 2 0213 3120 0321 0132 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 1 0 -1 0 0 0 0 0 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.175876748647 0.751941900991 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_2_0' : negation(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_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_7'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_1001_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 8/9*c_1001_1^3 - 25/9*c_1001_1^2 + 19/3*c_1001_1 - 2, c_0011_0 - 1, c_0011_3 - 1/3*c_1001_1^3 + 2/3*c_1001_1^2 - 2*c_1001_1, c_0011_4 + 2/3*c_1001_1^3 - 7/3*c_1001_1^2 + 5*c_1001_1 - 2, c_0011_5 + 2/3*c_1001_1^3 - 7/3*c_1001_1^2 + 5*c_1001_1 - 3, c_0011_7 + 2/3*c_1001_1^3 - 7/3*c_1001_1^2 + 5*c_1001_1 - 2, c_0101_0 - c_1001_1^3 + 3*c_1001_1^2 - 7*c_1001_1 + 3, c_0101_1 + c_1001_1 - 1, c_1001_1^4 - 4*c_1001_1^3 + 10*c_1001_1^2 - 9*c_1001_1 + 3 ], Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 126373/33440*c_1001_1^5 + 9553/2090*c_1001_1^4 + 393799/16720*c_1001_1^3 - 12567/4180*c_1001_1^2 + 368671/13376*c_1001_1 - 3213879/66880, c_0011_0 - 1, c_0011_3 + 9/76*c_1001_1^5 + 2/19*c_1001_1^4 + 35/38*c_1001_1^3 + 2/19*c_1001_1^2 + 319/152*c_1001_1 - 203/152, c_0011_4 - 3/11*c_1001_1^5 - 4/11*c_1001_1^4 - 12/11*c_1001_1^3 + 2/11*c_1001_1^2 - 7/22*c_1001_1 + 23/22, c_0011_5 + 97/836*c_1001_1^5 - 8/209*c_1001_1^4 + 183/418*c_1001_1^3 - 84/209*c_1001_1^2 + 1935/1672*c_1001_1 + 261/1672, c_0011_7 + 73/418*c_1001_1^5 + 100/209*c_1001_1^4 + 267/209*c_1001_1^3 + 214/209*c_1001_1^2 + 603/836*c_1001_1 - 743/836, c_0101_0 - 9/76*c_1001_1^5 - 2/19*c_1001_1^4 - 35/38*c_1001_1^3 - 2/19*c_1001_1^2 - 319/152*c_1001_1 + 203/152, c_0101_1 - 21/209*c_1001_1^5 - 6/209*c_1001_1^4 - 62/209*c_1001_1^3 + 146/209*c_1001_1^2 - 225/418*c_1001_1 + 271/418, c_1001_1^6 + c_1001_1^5 + 6*c_1001_1^4 - 2*c_1001_1^3 + 15/2*c_1001_1^2 - 14*c_1001_1 + 5/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB