Magma V2.19-8 Wed Aug 21 2013 00:56:42 on localhost [Seed = 2084202170] Type ? for help. Type -D to quit. Loading file "L13n2822__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2822 geometric_solution 12.28998717 oriented_manifold CS_known -0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 -1 1 -1 0 1 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 -1 -1 2 -1 0 1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723349193826 1.013446179458 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 1 -1 0 1 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 0 2 -2 0 1 0 0 -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 0.468672271010 1.010130608470 7 0 9 8 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -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 1 -1 0 0 0 0 0 0 -1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309688445079 0.506538221435 5 7 10 0 0132 0132 0132 0132 1 0 1 1 0 0 -1 1 0 0 1 -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 0 -1 1 0 0 1 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468672271010 1.010130608470 11 12 0 7 0132 0132 0132 0132 1 0 1 1 0 0 -1 1 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 -2 2 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 0.309688445079 0.506538221435 3 1 9 11 0132 0132 2103 2103 1 0 1 1 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 -2 2 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 0.407874983416 0.775429142313 9 12 1 10 2103 2031 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801259229944 0.483881566248 2 3 4 1 0132 0132 0132 0132 1 0 1 1 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 0 -2 2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723349193826 1.013446179458 11 12 2 10 2103 0213 0132 3120 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 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 0.423819202372 0.830042749344 5 12 6 2 2103 0321 2103 0132 1 0 1 1 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 -1 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.011292257283 1.691613059406 8 11 6 3 3120 2103 0132 0132 1 0 1 1 0 -1 0 1 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 -1 0 1 0 0 1 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801259229944 0.483881566248 4 10 8 5 0132 2103 2103 2103 1 0 1 1 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 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 0 0 0 0.011292257283 1.691613059406 6 4 8 9 1302 0132 0213 0321 1 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 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 0.423819202372 0.830042749344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : d['c_1001_1'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], '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_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(d['c_0011_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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9186/7225*c_1100_0^5 - 9812/7225*c_1100_0^4 + 1806/425*c_1100_0^3 + 18304/7225*c_1100_0^2 - 73421/7225*c_1100_0 - 9746/1445, c_0011_0 - 1, c_0011_10 + 26/85*c_1100_0^5 + 16/85*c_1100_0^4 - 84/85*c_1100_0^3 + 13/85*c_1100_0^2 + 2*c_1100_0 + 19/85, c_0011_11 + 28/85*c_1100_0^5 - 22/85*c_1100_0^4 - 97/85*c_1100_0^3 + 99/85*c_1100_0^2 + 2*c_1100_0 - 143/85, c_0011_9 - 13/85*c_1100_0^5 - 8/85*c_1100_0^4 + 42/85*c_1100_0^3 + 36/85*c_1100_0^2 - c_1100_0 - 137/85, c_0101_0 - 1, c_0101_1 + 1/17*c_1100_0^5 - 2/17*c_1100_0^4 + 2/17*c_1100_0^3 + 9/17*c_1100_0^2 - 13/17, c_0101_10 + 10/17*c_1100_0^5 - 3/17*c_1100_0^4 - 31/17*c_1100_0^3 + 22/17*c_1100_0^2 + 3*c_1100_0 - 28/17, c_0101_11 + 3/17*c_1100_0^5 - 6/17*c_1100_0^4 - 11/17*c_1100_0^3 + 10/17*c_1100_0^2 + c_1100_0 - 22/17, c_0101_3 + 1/17*c_1100_0^5 - 2/17*c_1100_0^4 + 2/17*c_1100_0^3 + 9/17*c_1100_0^2 - c_1100_0 - 13/17, c_1001_0 - 13/85*c_1100_0^5 - 8/85*c_1100_0^4 + 42/85*c_1100_0^3 + 36/85*c_1100_0^2 - c_1100_0 - 52/85, c_1001_1 - 1/5*c_1100_0^5 - 1/5*c_1100_0^4 + 4/5*c_1100_0^3 + 2/5*c_1100_0^2 - 2*c_1100_0 - 4/5, c_1001_2 - 22/85*c_1100_0^5 - 7/85*c_1100_0^4 + 58/85*c_1100_0^3 - 11/85*c_1100_0^2 - 2*c_1100_0 - 3/85, c_1100_0^6 + c_1100_0^5 - 4*c_1100_0^4 - 2*c_1100_0^3 + 10*c_1100_0^2 + 4*c_1100_0 - 5 ], 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 79*c_1100_0^10 + 141/2*c_1100_0^9 + 153*c_1100_0^8 - 1651/8*c_1100_0^7 - 541/4*c_1100_0^6 + 2057/8*c_1100_0^5 + 83/4*c_1100_0^4 - 1375/8*c_1100_0^3 + 181/4*c_1100_0^2 + 159/4*c_1100_0 - 145/8, c_0011_0 - 1, c_0011_10 + 16*c_1100_0^10 + 24*c_1100_0^9 - 56*c_1100_0^8 - 46*c_1100_0^7 + 94*c_1100_0^6 + 54*c_1100_0^5 - 89*c_1100_0^4 - 28*c_1100_0^3 + 44*c_1100_0^2 + 7*c_1100_0 - 10, c_0011_11 - 24*c_1100_0^10 + 20*c_1100_0^9 + 64*c_1100_0^8 - 47*c_1100_0^7 - 88*c_1100_0^6 + 61*c_1100_0^5 + 67*c_1100_0^4 - 36*c_1100_0^3 - 27*c_1100_0^2 + 10*c_1100_0 + 5, c_0011_9 + 1, c_0101_0 - 1, c_0101_1 - 8*c_1100_0^10 + 4*c_1100_0^9 + 20*c_1100_0^8 - 13*c_1100_0^7 - 27*c_1100_0^6 + 19*c_1100_0^5 + 19*c_1100_0^4 - 15*c_1100_0^3 - 7*c_1100_0^2 + 5*c_1100_0 + 1, c_0101_10 - 8*c_1100_0^10 - 4*c_1100_0^9 + 8*c_1100_0^8 + 7*c_1100_0^7 - 4*c_1100_0^6 - 10*c_1100_0^5 - 9*c_1100_0^4 + 6*c_1100_0^3 + 8*c_1100_0^2 - 2*c_1100_0 - 3, c_0101_11 + 8*c_1100_0^10 + 4*c_1100_0^9 - 24*c_1100_0^8 - 7*c_1100_0^7 + 40*c_1100_0^6 + 8*c_1100_0^5 - 38*c_1100_0^4 - 4*c_1100_0^3 + 20*c_1100_0^2 + c_1100_0 - 5, c_0101_3 + c_1100_0, c_1001_0 - 8*c_1100_0^10 - 4*c_1100_0^9 + 24*c_1100_0^8 + 7*c_1100_0^7 - 40*c_1100_0^6 - 8*c_1100_0^5 + 38*c_1100_0^4 + 4*c_1100_0^3 - 22*c_1100_0^2 - c_1100_0 + 6, c_1001_1 + 8*c_1100_0^10 - 4*c_1100_0^9 - 20*c_1100_0^8 + 13*c_1100_0^7 + 27*c_1100_0^6 - 19*c_1100_0^5 - 19*c_1100_0^4 + 15*c_1100_0^3 + 7*c_1100_0^2 - 6*c_1100_0 - 1, c_1001_2 + 40*c_1100_0^10 - 12*c_1100_0^9 - 96*c_1100_0^8 + 41*c_1100_0^7 + 128*c_1100_0^6 - 55*c_1100_0^5 - 87*c_1100_0^4 + 37*c_1100_0^3 + 31*c_1100_0^2 - 10*c_1100_0 - 4, c_1100_0^11 - 1/2*c_1100_0^10 - 5/2*c_1100_0^9 + 13/8*c_1100_0^8 + 27/8*c_1100_0^7 - 19/8*c_1100_0^6 - 19/8*c_1100_0^5 + 15/8*c_1100_0^4 + 7/8*c_1100_0^3 - 3/4*c_1100_0^2 - 1/8*c_1100_0 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB