Magma V2.19-8 Wed Aug 21 2013 00:52:27 on localhost [Seed = 3499541873] Type ? for help. Type -D to quit. Loading file "L12a1845__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1845 geometric_solution 12.51970215 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 2 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 1 -1 0 0 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713011043707 0.783914702390 0 4 4 5 0132 0132 1302 0132 2 2 2 1 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 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520440998488 0.988635008301 0 0 6 6 3012 0132 1302 0132 2 2 2 1 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 0 0 0 -1 0 4 -3 0 4 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411816854367 1.124884005993 7 7 8 0 0132 2310 0132 0132 2 2 2 2 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 -1 0 1 -3 0 3 0 0 3 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481655268823 0.271040605325 1 1 9 8 2031 0132 0132 2031 2 2 1 2 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583066166404 0.792011746261 7 10 1 11 2103 0132 0132 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119845546962 0.867677739406 2 8 2 8 2031 2031 0132 0132 2 2 1 2 0 0 0 0 0 0 1 -1 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 3 -3 1 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713011043707 0.783914702390 3 9 5 3 0132 0213 2103 3201 2 2 2 2 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 -1 1 3 0 0 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635981509408 0.940880574667 6 4 6 3 1302 1302 0132 0132 2 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 0 0 0 0 0 3 -3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713011043707 0.783914702390 11 12 7 4 3012 0132 0213 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576192085186 0.568024219172 12 5 12 12 3120 0132 2103 0132 2 0 2 2 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 -1 3 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409111894051 1.140117144756 11 11 5 9 1230 3012 0132 1230 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335553132934 0.988785158467 10 9 10 10 2103 0132 0132 3120 2 0 2 2 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 1 0 -3 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721169002438 0.777049030920 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_8'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_12'], 's_0_10' : d['1'], 's_0_11' : negation(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_0011_3'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_6'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_3']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['c_0101_10']), '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' : 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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_6']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_6'])})} 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_10, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_0101_6, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 7/40*c_1001_12^2 - c_1001_12 - 9/10, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_12^2 + 3/2*c_1001_12 + 1, c_0011_11 - 1/4*c_1001_12^2 - 1/2*c_1001_12 - 1, c_0011_3 + 1/2*c_1001_12 + 1, c_0011_6 - 1/4*c_1001_12^2 - c_1001_12, c_0011_8 - 1, c_0101_0 - 1, c_0101_10 - 1, c_0101_3 + 1/2*c_1001_12 + 1, c_0101_4 - c_1001_12 - 1, c_0101_6 - 1/4*c_1001_12^2 - 3/2*c_1001_12 - 1, c_1001_12^3 + 6*c_1001_12^2 + 8*c_1001_12 + 8, c_1001_3 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_0101_6, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 246359/1616992*c_1001_12^5 + 78725/404248*c_1001_12^4 + 6200715/808496*c_1001_12^3 + 1952857/101062*c_1001_12^2 + 237661/15548*c_1001_12 + 1520607/101062, c_0011_0 - 1, c_0011_10 + 1/184*c_1001_12^5 - 5/184*c_1001_12^4 - 33/184*c_1001_12^3 - 5/46*c_1001_12^2 + 11/23*c_1001_12 + 5/23, c_0011_11 - 1/184*c_1001_12^5 + 5/184*c_1001_12^4 + 33/184*c_1001_12^3 + 5/46*c_1001_12^2 + 12/23*c_1001_12 - 5/23, c_0011_3 + 9/736*c_1001_12^5 - 11/368*c_1001_12^4 - 103/184*c_1001_12^3 - 103/92*c_1001_12^2 - 4/23*c_1001_12 - 6/23, c_0011_6 - 39/736*c_1001_12^5 + 63/368*c_1001_12^4 + 431/184*c_1001_12^3 + 201/92*c_1001_12^2 + 27/46*c_1001_12 + 49/23, c_0011_8 - 1, c_0101_0 - 1, c_0101_10 - 1, c_0101_3 - 5/184*c_1001_12^5 + 27/368*c_1001_12^4 + 117/92*c_1001_12^3 + 71/46*c_1001_12^2 + 5/46*c_1001_12 + 21/23, c_0101_4 - c_1001_12 - 1, c_0101_6 - 19/736*c_1001_12^5 + 9/92*c_1001_12^4 + 197/184*c_1001_12^3 + 59/92*c_1001_12^2 + 11/23*c_1001_12 + 28/23, c_1001_12^6 - 2*c_1001_12^5 - 48*c_1001_12^4 - 96*c_1001_12^3 - 64*c_1001_12^2 - 64*c_1001_12 - 64, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB