Magma V2.19-8 Tue Aug 20 2013 17:56:37 on localhost [Seed = 1427431802] Type ? for help. Type -D to quit. Loading file "10^3_21__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_21 geometric_solution 11.86661207 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 2103 0132 0132 1 2 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 0 0 -1 0 1 -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 0.584129780362 0.619554271453 0 0 5 4 0132 2103 0132 0132 1 2 1 1 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584129780362 0.619554271453 6 5 6 0 0132 2103 3012 0132 1 2 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 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584129780362 0.619554271453 7 8 0 9 0132 0132 0132 0132 1 2 2 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 3 -1 -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 0.726028605173 0.859238923733 6 10 1 11 2103 0132 0132 0132 1 2 2 1 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 1 0 0 0 1 -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 0.726028605173 0.859238923733 7 2 7 1 3120 2103 2310 0132 1 2 1 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 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 0.584129780362 0.619554271453 2 2 4 9 0132 1230 2103 3120 2 2 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 0 0 0 0 -1 1 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 0.746899343841 1.112714152084 3 5 11 5 0132 3201 2103 3120 0 2 1 2 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 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 0.584129780362 0.619554271453 11 3 11 10 3201 0132 0213 2103 1 0 1 2 0 -1 1 0 -1 0 1 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 -3 3 0 -3 0 2 1 -3 0 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562809832877 0.981454371958 6 10 3 10 3120 0213 0132 2310 1 2 0 2 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 -2 2 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 0.562809832877 0.981454371958 9 4 9 8 3201 0132 0213 2103 1 0 1 2 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 1 2 -3 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 0.562809832877 0.981454371958 7 8 4 8 2103 0213 0132 2310 1 2 0 2 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 1 -1 -1 -2 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562809832877 0.981454371958 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_9']), 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_1001_3']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : negation(d['c_1001_3']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0110_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_1001_3'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_3_6' : d['1'], 's_3_9' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0110_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], '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_1'], 'c_1100_8' : negation(d['c_0110_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_2, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0110_10, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3587/2*c_1001_10*c_1001_3^2 + 5961*c_1001_10*c_1001_3 - 11033/2*c_1001_10 + 4487/5*c_1001_3^2 - 14943/5*c_1001_3 + 13902/5, c_0011_0 - 1, c_0011_10 + c_1001_10*c_1001_3^2 - 3*c_1001_10*c_1001_3 + 3*c_1001_10 + c_1001_3 - 1, c_0011_11 - c_1001_10*c_1001_3^2 + 4*c_1001_10*c_1001_3 - 4*c_1001_10 - c_1001_3 + 2, c_0011_2 - 1, c_0011_3 + c_1001_10*c_1001_3 - c_1001_10 - c_1001_3 + 1, c_0011_9 + c_1001_10*c_1001_3^2 - 3*c_1001_10*c_1001_3 + 3*c_1001_10 + c_1001_3 - 2, c_0101_0 - 1, c_0101_1 + c_1001_10*c_1001_3^2 - 3*c_1001_10*c_1001_3 + 3*c_1001_10 - 1, c_0101_11 - 2/5*c_1001_10*c_1001_3^2 + 8/5*c_1001_10*c_1001_3 - 12/5*c_1001_10 + 1/5*c_1001_3^2 - 4/5*c_1001_3 + 6/5, c_0110_10 - 2*c_1001_10*c_1001_3^2 + 7*c_1001_10*c_1001_3 - 6*c_1001_10 + c_1001_3^2 - 3*c_1001_3 + 3, c_1001_10^2 - 2/5*c_1001_10*c_1001_3^2 + 8/5*c_1001_10*c_1001_3 - 2/5*c_1001_10 + 6/5*c_1001_3^2 - 14/5*c_1001_3 - 4/5, c_1001_3^3 - 3*c_1001_3^2 + 2*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB