Magma V2.19-8 Wed Aug 21 2013 00:31:21 on localhost [Seed = 2816587530] Type ? for help. Type -D to quit. Loading file "K14n18086__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18086 geometric_solution 11.38751040 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 0 0 1 2 1302 2031 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 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 0.590308837627 1.011977789661 2 3 4 0 1302 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495008141799 0.573457793001 5 1 0 6 0132 2031 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 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 0.495008141799 0.573457793001 4 1 5 7 0321 0132 2031 0132 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 -1 0 1 -1 0 -8 9 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.045529357055 0.698697118155 3 8 9 1 0321 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 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808166550056 1.036905125135 2 6 10 3 0132 2103 0132 1302 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 -8 8 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 0.426317651692 0.374096627800 11 5 2 9 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.233450705289 0.789811017822 12 8 3 10 0132 0213 0132 3120 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 0 -1 1 8 0 -9 1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045779979738 0.779503469475 10 4 7 11 1023 0132 0213 0321 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 8 -8 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.128174250822 0.572771878003 12 11 6 4 2031 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999336208052 0.942511703083 7 8 12 5 3120 1023 3012 0132 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 -8 8 -1 0 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 0.521676918157 0.854894263350 6 8 12 9 0132 0321 2031 0321 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 -1 0 0 1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.703224895167 1.268019823753 7 10 9 11 0132 1230 1302 1302 0 0 0 0 0 0 0 0 1 0 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 -8 0 0 8 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.264432424218 0.721530948743 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0011_11']), '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' : 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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_4'], '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_0101_11'], '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_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_1'], 'c_0110_7' : negation(d['c_0011_9']), '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_1, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_1001_1, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 30015696/7*c_1001_4*c_1100_0^2 - 38888268/7*c_1001_4*c_1100_0 + 101542372/7*c_1001_4 + 20258578/7*c_1100_0^2 - 26246968/7*c_1100_0 + 68534278/7, c_0011_0 - 1, c_0011_1 - 1/2*c_1001_4*c_1100_0^2 + c_1001_4*c_1100_0 - 3/2*c_1001_4 + 1/2*c_1100_0 - 1/2, c_0011_10 - 1/2*c_1100_0 - 1/2, c_0011_11 - c_1001_4 - c_1100_0, c_0011_12 - 1/2*c_1100_0 + 1/2, c_0011_9 + c_1001_4 + 1/2*c_1100_0 + 1/2, c_0101_10 - 1/2*c_1100_0 - 1/2, c_0101_11 - c_1001_4, c_0101_2 - 1/2*c_1100_0^2 + c_1100_0 - 1/2, c_0101_3 + 1/2*c_1001_4*c_1100_0^2 - c_1001_4*c_1100_0 + 5/2*c_1001_4 + 1/2*c_1100_0 + 1/2, c_1001_1 - c_1001_4 - 1/2*c_1100_0 - 1/2, c_1001_4^2 + c_1001_4*c_1100_0 + c_1001_4 + 3/4*c_1100_0^2 + c_1100_0 + 1/4, c_1100_0^3 - c_1100_0^2 + 3*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_1001_1, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6254078/1573*c_1001_4*c_1100_0^3 - 28675158/1573*c_1001_4*c_1100_0^2 + 2865118/1573*c_1001_4*c_1100_0 + 5265302/1573*c_1001_4 - 3247203/1573*c_1100_0^3 + 16104553/1573*c_1100_0^2 - 7502227/1573*c_1100_0 + 3257/1573, c_0011_0 - 1, c_0011_1 + 1/2*c_1001_4*c_1100_0^2 - 2*c_1001_4*c_1100_0 - 1/2*c_1001_4 - 1/4*c_1100_0^3 + 3/4*c_1100_0^2 + 7/4*c_1100_0 + 3/4, c_0011_10 - 1/4*c_1100_0^3 + 3/4*c_1100_0^2 + 3/4*c_1100_0 + 3/4, c_0011_11 + c_1001_4 + c_1100_0, c_0011_12 + 1/4*c_1100_0^3 - 3/4*c_1100_0^2 - 7/4*c_1100_0 - 3/4, c_0011_9 - c_1001_4 - 1/4*c_1100_0^3 + 3/4*c_1100_0^2 + 3/4*c_1100_0 + 3/4, c_0101_10 - 1/4*c_1100_0^3 + 3/4*c_1100_0^2 + 3/4*c_1100_0 + 3/4, c_0101_11 + c_1001_4, c_0101_2 - 1/2*c_1100_0^3 + 2*c_1100_0^2 + 3/2*c_1100_0, c_0101_3 + 1/2*c_1001_4*c_1100_0^2 - 2*c_1001_4*c_1100_0 - 3/2*c_1001_4 - 1/4*c_1100_0^3 + 3/4*c_1100_0^2 + 3/4*c_1100_0 + 3/4, c_1001_1 + c_1001_4 + 1/4*c_1100_0^3 - 3/4*c_1100_0^2 - 3/4*c_1100_0 - 3/4, c_1001_4^2 + 1/2*c_1001_4*c_1100_0^3 - 3/2*c_1001_4*c_1100_0^2 - 3/2*c_1001_4*c_1100_0 - 3/2*c_1001_4 + c_1100_0^2 + 1/2*c_1100_0 + 1/2, c_1100_0^4 - 4*c_1100_0^3 - 2*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 21.170 Total time: 21.370 seconds, Total memory usage: 64.12MB