Magma V2.19-8 Wed Aug 21 2013 00:51:29 on localhost [Seed = 947793226] Type ? for help. Type -D to quit. Loading file "L11n103__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n103 geometric_solution 12.01108668 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 -4 0 0 4 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919514402345 0.819154749666 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 0 2 -2 -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 -1 1 4 0 -4 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 0.631854551878 0.738801584618 4 0 8 7 0213 0132 0132 3012 1 0 1 1 0 0 0 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 -1 0 1 0 0 -1 1 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653304562568 0.556220155847 9 10 8 0 0132 0132 3201 0132 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 0 0 0 0 0 0 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 0.537291435560 0.627036704686 2 11 0 6 0213 0132 0132 2103 1 1 0 1 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 0 1 -1 3 0 -4 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 0.491788009309 0.490389823735 7 1 12 10 0321 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665709461548 0.390872201200 9 12 1 4 2103 0132 0132 2103 0 1 1 1 0 -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 1 -1 0 1 0 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 0.467157127018 0.748447449177 5 9 2 1 0321 2103 1230 0132 0 1 1 1 0 1 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 -1 1 0 0 -4 4 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263709103756 1.477603169235 3 11 12 2 2310 0321 1023 0132 1 0 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 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 0.537291435560 0.627036704686 3 7 6 11 0132 2103 2103 1230 1 1 0 1 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 1 0 0 0 -1 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 0.761943337021 1.032542891834 5 3 12 11 3201 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212017557419 0.919601321453 9 4 10 8 3012 0132 0132 0321 1 1 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 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 0.212017557419 0.919601321453 10 6 8 5 2031 0132 1023 0132 0 1 1 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 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 1.528357999176 0.653663890344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_8'], 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_8']), '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' : negation(d['c_0011_12']), '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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], '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_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_7' : negation(d['c_0011_0']), 'c_1100_8' : negation(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_10, c_0011_11, c_0011_12, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_2, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 8/147*c_1001_5^3 - 36/49*c_1001_5^2 + 340/147*c_1001_5 - 296/147, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 2*c_1001_5^3 - 6*c_1001_5^2 + 6*c_1001_5 - 2, c_0011_12 + 4*c_1001_5^2 - 8*c_1001_5 + 6, c_0011_8 - 2*c_1001_5^2 + 2*c_1001_5, c_0101_0 - 2*c_1001_5^2 + 4*c_1001_5 - 2, c_0101_11 + 1, c_0101_12 - 4*c_1001_5^2 + 8*c_1001_5 - 5, c_0101_5 + 4*c_1001_5^3 - 8*c_1001_5^2 + 6*c_1001_5 - 1, c_0101_8 + c_1001_5 - 1, c_0110_2 + 2*c_1001_5^2 - 3*c_1001_5 + 2, c_1001_2 - 2*c_1001_5^2 + 6*c_1001_5 - 4, c_1001_5^4 - 4*c_1001_5^3 + 13/2*c_1001_5^2 - 5*c_1001_5 + 7/4 ], 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_12, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_2, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9/10*c_1001_5^5 - 41/10*c_1001_5^4 - 11/4*c_1001_5^3 + 26/5*c_1001_5^2 + 119/40*c_1001_5 - 109/40, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 16/5*c_1001_5^5 - 36/5*c_1001_5^4 + 18/5*c_1001_5^3 + 74/5*c_1001_5^2 + 2/5*c_1001_5 - 9, c_0011_12 + 26/5*c_1001_5^5 + 61/5*c_1001_5^4 - 3/5*c_1001_5^3 - 183/10*c_1001_5^2 - 27/5*c_1001_5 + 35/4, c_0011_8 + 6/5*c_1001_5^5 + 11/5*c_1001_5^4 - 13/5*c_1001_5^3 - 53/10*c_1001_5^2 + 3/5*c_1001_5 + 13/4, c_0101_0 + 32/5*c_1001_5^5 + 72/5*c_1001_5^4 - 16/5*c_1001_5^3 - 118/5*c_1001_5^2 - 14/5*c_1001_5 + 12, c_0101_11 + 1, c_0101_12 - 24/5*c_1001_5^5 - 44/5*c_1001_5^4 + 52/5*c_1001_5^3 + 126/5*c_1001_5^2 - 12/5*c_1001_5 - 18, c_0101_5 - 6*c_1001_5^5 - 11*c_1001_5^4 + 9*c_1001_5^3 + 49/2*c_1001_5^2 - c_1001_5 - 61/4, c_0101_8 - 24/5*c_1001_5^5 - 44/5*c_1001_5^4 + 32/5*c_1001_5^3 + 86/5*c_1001_5^2 - 7/5*c_1001_5 - 10, c_0110_2 - 32/5*c_1001_5^5 - 72/5*c_1001_5^4 + 16/5*c_1001_5^3 + 118/5*c_1001_5^2 + 19/5*c_1001_5 - 12, c_1001_2 + 6/5*c_1001_5^5 + 11/5*c_1001_5^4 - 13/5*c_1001_5^3 - 53/10*c_1001_5^2 + 3/5*c_1001_5 + 13/4, c_1001_5^6 + 7/2*c_1001_5^5 + 2*c_1001_5^4 - 21/4*c_1001_5^3 - 23/4*c_1001_5^2 + 15/8*c_1001_5 + 25/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB