Magma V2.19-8 Sun Sep 15 2013 03:45:12 on localhost [Seed = 726408321] Type ? for help. Type -D to quit. Loading file "11_381__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_381 geometric_solution 16.14874652 oriented_manifold CS_known -0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 17 1 1 2 3 0132 1302 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 1 0 0 -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 0.684738501136 1.021679980702 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275766305017 0.893686397493 5 6 7 0 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 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 -0.085632195593 1.028921394893 8 6 0 9 0132 0321 0132 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 -1 1 0 0 1 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159580660790 0.614235654960 10 1 10 8 0132 0132 3012 0321 0 0 0 0 0 0 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 -2 2 0 0 0 0 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215018890408 0.744807021296 2 11 6 1 0132 0132 1023 0132 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 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 0.150687084835 0.682745861721 12 2 5 3 0132 0132 1023 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367905861021 0.926471654133 8 13 9 2 3120 0132 0132 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 0 0 0 0 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166010773481 1.161533226929 3 4 14 7 0132 0321 0132 3120 0 0 0 0 0 1 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 0 -2 0 2 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439903692553 0.698160037898 15 16 3 7 0132 0132 0132 0132 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 -1 0 -1 0 1 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654428960840 0.830746207291 4 4 12 16 0132 1230 0321 1230 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 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670389523503 0.636080050853 12 5 13 14 1023 0132 2103 0132 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 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 1.208013704126 1.120149639850 6 11 10 14 0132 1023 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196799701492 0.820241894806 11 7 16 15 2103 0132 0132 0132 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 0 0 0 0 -1 1 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654428960840 0.830746207291 15 12 11 8 3120 1302 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 0.765405970458 0.497296593258 9 16 13 14 0132 0213 0132 3120 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 -1 0 1 1 0 -1 0 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599698744694 0.484061420526 10 9 15 13 3012 0132 0213 0132 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 -1 1 0 0 0 -1 1 0 1 0 -1 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599698744694 0.484061420526 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_0101_6'], 'c_1001_16' : d['c_1001_15'], 'c_1001_11' : d['c_0011_13'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_15'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_13'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_13'], 'c_1001_9' : d['c_1001_13'], 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_13' : d['c_1001_15'], 'c_1010_12' : d['c_0011_14'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0011_15'], 'c_1010_16' : d['c_1001_13'], 'c_1010_15' : negation(d['c_0011_14']), 'c_1010_14' : negation(d['c_1001_10']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 'c_0101_16' : d['c_0011_15'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0011_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_15'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_14' : negation(d['c_0101_15']), 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0011_14']), 's_0_10' : d['1'], 'c_1100_16' : negation(d['c_0011_14']), 'c_1100_11' : negation(d['c_0101_15']), 'c_1100_10' : d['c_0101_11'], 'c_1100_13' : negation(d['c_0011_14']), 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_13'], 'c_1010_6' : d['c_1001_13'], 'c_1010_5' : d['c_0011_13'], 'c_1010_4' : d['c_0011_13'], 'c_1010_3' : d['c_1001_13'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_15'], 'c_1010_8' : d['c_0011_13'], 'c_1100_8' : negation(d['c_0101_15']), '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_1001_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' : 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' : negation(d['c_0011_15']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : negation(d['c_0011_11']), '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_11'], 'c_0110_11' : d['c_0011_14'], 'c_0110_10' : d['c_0011_15'], 'c_0110_13' : d['c_0101_15'], 'c_0110_12' : d['c_0101_6'], 'c_0110_15' : d['c_0101_8'], 'c_0110_14' : d['c_0101_8'], 'c_0110_16' : d['c_0101_11'], 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 's_2_15' : d['1'], 'c_0101_7' : d['c_0101_15'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_15'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_15'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3']), 'c_0101_13' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_15, c_0101_6, c_0101_8, c_1001_10, c_1001_13, c_1001_15, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 6221/8740*c_1100_0^5 + 3977/460*c_1100_0^4 + 80993/8740*c_1100_0^3 + 743637/8740*c_1100_0^2 + 22443/460*c_1100_0 - 374289/8740, c_0011_0 - 1, c_0011_11 + 1/5*c_1100_0^5 + 3/20*c_1100_0^4 + 19/10*c_1100_0^3 - 3/20*c_1100_0^2 + 11/10*c_1100_0 + 11/20, c_0011_13 + 3/5*c_1100_0^5 + 9/20*c_1100_0^4 + 57/10*c_1100_0^3 - 19/20*c_1100_0^2 + 24/5*c_1100_0 + 3/20, c_0011_14 - 1/5*c_1100_0^5 - 3/20*c_1100_0^4 - 19/10*c_1100_0^3 + 3/20*c_1100_0^2 - 11/10*c_1100_0 + 9/20, c_0011_15 - 1/4*c_1100_0^5 - 9/4*c_1100_0^3 + 2*c_1100_0^2 - 9/4*c_1100_0 + 1, c_0011_3 - 1/2*c_1100_0^5 - 1/2*c_1100_0^4 - 5*c_1100_0^3 - 5*c_1100_0 - 1/2, c_0101_0 - 3/20*c_1100_0^5 - 3/10*c_1100_0^4 - 31/20*c_1100_0^3 - 6/5*c_1100_0^2 - 9/20*c_1100_0 - 3/5, c_0101_1 - 1/5*c_1100_0^5 - 3/20*c_1100_0^4 - 19/10*c_1100_0^3 + 3/20*c_1100_0^2 - 21/10*c_1100_0 - 11/20, c_0101_11 - 3/20*c_1100_0^5 - 3/10*c_1100_0^4 - 31/20*c_1100_0^3 - 17/10*c_1100_0^2 - 19/20*c_1100_0 - 21/10, c_0101_15 - 1/10*c_1100_0^5 + 1/20*c_1100_0^4 - 7/10*c_1100_0^3 + 29/20*c_1100_0^2 - 3/10*c_1100_0 + 17/20, c_0101_6 - 1/20*c_1100_0^5 + 3/20*c_1100_0^4 - 7/20*c_1100_0^3 + 27/20*c_1100_0^2 - 13/20*c_1100_0 + 1/20, c_0101_8 - 1/2*c_1100_0^2 - 1/2*c_1100_0 - 1/2, c_1001_10 - 1/20*c_1100_0^5 + 3/20*c_1100_0^4 - 7/20*c_1100_0^3 + 47/20*c_1100_0^2 - 13/20*c_1100_0 + 21/20, c_1001_13 - 3/10*c_1100_0^5 - 7/20*c_1100_0^4 - 31/10*c_1100_0^3 - 13/20*c_1100_0^2 - 17/5*c_1100_0 - 9/20, c_1001_15 + 1/5*c_1100_0^5 + 3/20*c_1100_0^4 + 19/10*c_1100_0^3 - 3/20*c_1100_0^2 + 21/10*c_1100_0 + 11/20, c_1001_3 - 11/20*c_1100_0^5 - 3/5*c_1100_0^4 - 107/20*c_1100_0^3 - 9/10*c_1100_0^2 - 93/20*c_1100_0 - 7/10, c_1100_0^6 + c_1100_0^5 + 10*c_1100_0^4 + c_1100_0^3 + 10*c_1100_0^2 + c_1100_0 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_15, c_0101_6, c_0101_8, c_1001_10, c_1001_13, c_1001_15, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1759841/8151*c_1100_0^6 + 679634/2717*c_1100_0^5 - 1800386/2717*c_1100_0^4 + 856351/2717*c_1100_0^3 - 151038/247*c_1100_0^2 - 534478/8151*c_1100_0 - 2180132/8151, c_0011_0 - 1, c_0011_11 + c_1100_0^5 - 2*c_1100_0^4 + 4*c_1100_0^3 - 4*c_1100_0^2 + 3*c_1100_0 - 1, c_0011_13 + c_1100_0, c_0011_14 + c_1100_0^6 - 2*c_1100_0^5 + 4*c_1100_0^4 - 4*c_1100_0^3 + 4*c_1100_0^2 - c_1100_0, c_0011_15 - c_1100_0^6 + 2*c_1100_0^5 - 4*c_1100_0^4 + 4*c_1100_0^3 - 4*c_1100_0^2 + c_1100_0, c_0011_3 - c_1100_0^5 + 2*c_1100_0^4 - 4*c_1100_0^3 + 5*c_1100_0^2 - 5*c_1100_0 + 2, c_0101_0 + 1, c_0101_1 - 2*c_1100_0^6 + 4*c_1100_0^5 - 7*c_1100_0^4 + 6*c_1100_0^3 - 4*c_1100_0^2 + 1, c_0101_11 - c_1100_0^6 + 2*c_1100_0^5 - 4*c_1100_0^4 + 3*c_1100_0^3 - 2*c_1100_0^2 - c_1100_0 + 1, c_0101_15 - c_1100_0^6 + 2*c_1100_0^5 - 3*c_1100_0^4 + 2*c_1100_0^3 - c_1100_0^2 - c_1100_0 + 1, c_0101_6 - c_1100_0^5 + 2*c_1100_0^4 - 4*c_1100_0^3 + 3*c_1100_0^2 - 3*c_1100_0 + 1, c_0101_8 - c_1100_0^6 + 2*c_1100_0^5 - 4*c_1100_0^4 + 3*c_1100_0^3 - 2*c_1100_0^2 - c_1100_0 + 1, c_1001_10 - c_1100_0^5 + 2*c_1100_0^4 - 4*c_1100_0^3 + 4*c_1100_0^2 - 4*c_1100_0 + 1, c_1001_13 - c_1100_0^6 + 2*c_1100_0^5 - 3*c_1100_0^4 + 2*c_1100_0^3 - c_1100_0^2 - c_1100_0 + 1, c_1001_15 + c_1100_0^2 - c_1100_0 + 1, c_1001_3 - 2*c_1100_0^6 + 4*c_1100_0^5 - 7*c_1100_0^4 + 6*c_1100_0^3 - 4*c_1100_0^2 + c_1100_0 + 1, c_1100_0^7 - 2*c_1100_0^6 + 4*c_1100_0^5 - 4*c_1100_0^4 + 4*c_1100_0^3 - 2*c_1100_0^2 + c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2097.940 Total time: 2098.139 seconds, Total memory usage: 6092.69MB