Magma V2.19-8 Wed Aug 21 2013 01:01:39 on localhost [Seed = 3920622133] Type ? for help. Type -D to quit. Loading file "L14n12601__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12601 geometric_solution 11.98023379 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 -2 0 1 1 -1 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 -1 0 1 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 0 3 6 5 0132 1023 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 0 -19 20 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 2 -1 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 19 0 -19 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460887314763 0.781086207241 1 10 4 0 1023 0132 0213 0132 1 1 1 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 0 0 0 0 0 1 -1 -20 20 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 11 3 0 8 0132 0213 0132 2103 1 1 1 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 -1 1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 8 8 1 10 1302 3012 0132 1302 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 0 0 0 19 0 0 -19 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646591693884 1.592342720610 12 11 12 1 0132 1302 1023 0132 1 1 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 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 0.293183387768 1.184685441220 2 12 10 9 0132 3120 2031 2031 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 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 0.891475205527 0.397059720435 5 5 2 4 1230 2031 0132 2103 1 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 1 -1 0 0 0 0 1 0 0 -1 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646591693884 1.592342720610 11 7 11 2 1302 1302 3120 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209256537044 0.482259055051 12 3 5 7 3120 0132 2031 1302 1 1 0 1 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 0 0 0 0 0 0 0 1 -1 0 0 1 -20 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439659387743 0.949634128715 4 9 9 6 0132 2031 3120 2031 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803158128739 0.795391924762 6 7 6 10 0132 3120 1023 3120 1 1 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 1 -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 0 0 0.209256537044 0.482259055051 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_12' : negation(d['c_0011_0']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_0101_11']), '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' : negation(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' : negation(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_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_11, c_0011_12, c_0011_5, c_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 37/128*c_0110_5^2*c_1001_2 + 49/128*c_0110_5^2 + 37/64*c_0110_5*c_1001_2 - 25/64*c_0110_5 - 3/32*c_1001_2 + 35/32, c_0011_0 - 1, c_0011_11 + 1/4*c_0110_5^2*c_1001_2 - 1/4*c_0110_5*c_1001_2 + 3/4*c_0110_5 + 1/2*c_1001_2 + 1/2, c_0011_12 - 1/4*c_0110_5^2*c_1001_2 - 1/2*c_0110_5 - 1/2*c_1001_2 - 1, c_0011_5 + 1, c_0011_8 + 1, c_0101_1 - 1/4*c_0110_5^2 + 3/4*c_0110_5*c_1001_2 + 1/4*c_0110_5 + 1/2*c_1001_2 - 1/2, c_0101_10 - 1/4*c_0110_5^2*c_1001_2 - 1/4*c_0110_5^2 + c_0110_5*c_1001_2 - 1/2*c_0110_5 - 1, c_0101_11 + 1/4*c_0110_5^2*c_1001_2 + 1/4*c_0110_5^2 - c_0110_5*c_1001_2 + 1/2*c_0110_5 + 1, c_0101_2 + 1/4*c_0110_5^2*c_1001_2 - 1/4*c_0110_5*c_1001_2 + 1/4*c_0110_5 + c_1001_2 + 1, c_0101_6 + 1/4*c_0110_5^2 - 1/4*c_0110_5*c_1001_2 - 1/4*c_0110_5 - c_1001_2 + 1, c_0101_7 - 1/4*c_0110_5^2*c_1001_2 - 1/4*c_0110_5^2 + c_0110_5*c_1001_2 + 1/2*c_0110_5 - 1, c_0110_5^3 - 3*c_0110_5^2*c_1001_2 - c_0110_5^2 - 2*c_0110_5*c_1001_2 + 2*c_0110_5 - 4*c_1001_2 - 4, c_1001_2^2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_5, c_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2244589/874640*c_0110_5^5*c_1001_2 - 540353/218660*c_0110_5^5 - 137873/195112*c_0110_5^4*c_1001_2 + 837659/390224*c_0110_5^4 - 1736805/317057*c_0110_5^3*c_1001_2 - 3447406/317057*c_0110_5^3 + 81210211/3170570*c_0110_5^2*c_1001_2 + 191986859/6341140*c_0110_5^2 - 29340736/1585285*c_0110_5*c_1001_2 - 31986182/1585285*c_0110_5 + 15100154/317057*c_1001_2 + 6067015/317057, c_0011_0 - 1, c_0011_11 + 55/128*c_0110_5^5*c_1001_2 - 7/128*c_0110_5^5 - 1/4*c_0110_5^4*c_1001_2 + 15/32*c_0110_5^4 - 9/32*c_0110_5^3*c_1001_2 - 47/32*c_0110_5^3 + 9/8*c_0110_5^2*c_1001_2 + 17/4*c_0110_5^2 - 13/8*c_0110_5*c_1001_2 - 23/8*c_0110_5 + 3*c_1001_2 + 4, c_0011_12 - 73/128*c_0110_5^5*c_1001_2 + 13/32*c_0110_5^5 - 1/128*c_0110_5^4*c_1001_2 - 81/128*c_0110_5^4 + 21/16*c_0110_5^3*c_1001_2 + 29/16*c_0110_5^3 - 131/32*c_0110_5^2*c_1001_2 - 163/32*c_0110_5^2 + 11/4*c_0110_5*c_1001_2 + 11/4*c_0110_5 - 49/8*c_1001_2 - 33/8, c_0011_5 + 9/64*c_0110_5^5*c_1001_2 + 21/64*c_0110_5^5 - 7/32*c_0110_5^4*c_1001_2 - 3/32*c_0110_5^4 + 17/16*c_0110_5^3*c_1001_2 - 5/16*c_0110_5^3 - 29/8*c_0110_5^2*c_1001_2 + 11/8*c_0110_5^2 + 7/4*c_0110_5*c_1001_2 - 3/4*c_0110_5 - 7/2*c_1001_2 + 5/2, c_0011_8 + 1, c_0101_1 + 35/128*c_0110_5^5*c_1001_2 - 15/128*c_0110_5^5 - 1/16*c_0110_5^4*c_1001_2 + 7/32*c_0110_5^4 - 13/32*c_0110_5^3*c_1001_2 - 27/32*c_0110_5^3 + 9/8*c_0110_5^2*c_1001_2 + 5/2*c_0110_5^2 - 1/8*c_0110_5*c_1001_2 - 11/8*c_0110_5 + 2*c_1001_2 + 2, c_0101_10 - 5/32*c_0110_5^5*c_1001_2 - 1/16*c_0110_5^5 + 3/16*c_0110_5^4*c_1001_2 - 1/4*c_0110_5^4 - 1/8*c_0110_5^3*c_1001_2 + 5/8*c_0110_5^3 - 7/4*c_0110_5^2 + 3/2*c_0110_5*c_1001_2 + 3/2*c_0110_5 - c_1001_2 - 2, c_0101_11 + 33/64*c_0110_5^5*c_1001_2 - 39/64*c_0110_5^5 + 11/32*c_0110_5^4*c_1001_2 + 21/32*c_0110_5^4 - 33/16*c_0110_5^3*c_1001_2 - 21/16*c_0110_5^3 + 43/8*c_0110_5^2*c_1001_2 + 33/8*c_0110_5^2 - 17/4*c_0110_5*c_1001_2 - 5/4*c_0110_5 + 13/2*c_1001_2 + 5/2, c_0101_2 - 29/128*c_0110_5^5*c_1001_2 + 29/128*c_0110_5^5 - 7/64*c_0110_5^4*c_1001_2 - 5/64*c_0110_5^4 + 11/32*c_0110_5^3*c_1001_2 + 23/32*c_0110_5^3 - 27/16*c_0110_5^2*c_1001_2 - 37/16*c_0110_5^2 + 5/8*c_0110_5*c_1001_2 + 9/8*c_0110_5 - 11/4*c_1001_2 - 11/4, c_0101_6 - 7/16*c_0110_5^5*c_1001_2 + 3/16*c_0110_5^5 + 7/64*c_0110_5^4*c_1001_2 - 21/64*c_0110_5^4 + 9/16*c_0110_5^3*c_1001_2 + 11/8*c_0110_5^3 - 29/16*c_0110_5^2*c_1001_2 - 69/16*c_0110_5^2 + c_0110_5*c_1001_2 + 9/4*c_0110_5 - 13/4*c_1001_2 - 13/4, c_0101_7 - 11/64*c_0110_5^5*c_1001_2 - 45/64*c_0110_5^5 + 11/16*c_0110_5^4*c_1001_2 + 5/16*c_0110_5^4 - 37/16*c_0110_5^3*c_1001_2 + 11/16*c_0110_5^3 + 27/4*c_0110_5^2*c_1001_2 - 9/4*c_0110_5^2 - 17/4*c_0110_5*c_1001_2 + 11/4*c_0110_5 + 6*c_1001_2 - 5, c_0110_5^6 - 52/29*c_0110_5^5*c_1001_2 - 14/29*c_0110_5^5 + 108/29*c_0110_5^4*c_1001_2 - 20/29*c_0110_5^4 - 280/29*c_0110_5^3*c_1001_2 + 112/29*c_0110_5^3 + 144/29*c_0110_5^2*c_1001_2 - 336/29*c_0110_5^2 - 256/29*c_0110_5*c_1001_2 + 288/29*c_0110_5 - 128/29*c_1001_2 - 320/29, c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB