Magma V2.19-8 Tue Aug 20 2013 23:56:18 on localhost [Seed = 2884486076] Type ? for help. Type -D to quit. Loading file "L14n1608__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1608 geometric_solution 11.07964311 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 -1 0 1 -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 0.398192422169 0.577589962809 0 4 5 5 0132 2103 0213 0132 0 1 1 1 0 2 0 -2 -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 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 0.595470518496 0.586782056033 6 0 6 7 0132 0132 3012 0132 1 1 1 1 0 0 0 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 1 -1 0 0 0 0 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 0.568331462233 1.094190044941 8 9 10 0 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 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 -0.260960952685 1.002587006485 10 1 0 10 1230 2103 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 -2 0 3 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 0 0 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.203615155663 1.155179925618 9 1 1 10 3120 0213 0132 3120 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 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 0.796384844337 1.155179925618 2 2 11 11 0132 1230 0132 1230 1 1 1 1 0 0 1 -1 -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 0 -1 1 0 0 0 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 0.311991752259 0.790834261843 11 8 2 9 2031 3120 0132 3120 1 1 1 1 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 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 0.849538955120 0.609218612348 3 7 9 11 0132 3120 3120 2031 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 -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 -0.033320179357 0.666576559909 7 3 8 5 3120 0132 3120 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.056645055733 0.905803033481 5 4 4 3 3120 3012 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 -3 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.203615155663 1.155179925618 6 8 7 6 3012 1302 1302 0132 1 1 1 1 0 1 0 -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 0 1 -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 0.626159825286 0.719742306653 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_2' : negation(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_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0101_6'], 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_0']), 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_0011_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' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_0101_6'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 115/11284*c_1100_0^5 - 6775/45136*c_1100_0^4 - 19249/22568*c_1100_0^3 - 51613/22568*c_1100_0^2 - 70921/22568*c_1100_0 - 104591/45136, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1/16*c_1100_0^4 + 3/4*c_1100_0^3 + 25/8*c_1100_0^2 + 21/4*c_1100_0 + 61/16, c_0011_3 - 1/32*c_1100_0^5 - 15/32*c_1100_0^4 - 45/16*c_1100_0^3 - 135/16*c_1100_0^2 - 405/32*c_1100_0 - 243/32, c_0011_4 - 1, c_0011_5 + c_1100_0 + 1, c_0101_0 - c_1100_0 - 2, c_0101_3 - 1, c_0101_6 + 1/16*c_1100_0^4 + 3/4*c_1100_0^3 + 27/8*c_1100_0^2 + 25/4*c_1100_0 + 89/16, c_0101_9 - 1/32*c_1100_0^5 - 13/32*c_1100_0^4 - 31/16*c_1100_0^3 - 59/16*c_1100_0^2 - 81/32*c_1100_0 + 19/32, c_1001_0 - 1/32*c_1100_0^5 - 15/32*c_1100_0^4 - 45/16*c_1100_0^3 - 135/16*c_1100_0^2 - 437/32*c_1100_0 - 339/32, c_1100_0^6 + 16*c_1100_0^5 + 105*c_1100_0^4 + 360*c_1100_0^3 + 707*c_1100_0^2 + 776*c_1100_0 + 403 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 15963/8876800*c_1100_0^6 + 126291/2219200*c_1100_0^5 - 3795503/8876800*c_1100_0^4 + 890641/554800*c_1100_0^3 - 29257641/8876800*c_1100_0^2 + 1675957/443840*c_1100_0 - 18116621/8876800, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 3/16*c_1100_0^6 + 9/4*c_1100_0^5 - 95/8*c_1100_0^4 + 141/4*c_1100_0^3 - 991/16*c_1100_0^2 + 125/2*c_1100_0 - 29, c_0011_3 + 3/32*c_1100_0^6 - 33/32*c_1100_0^5 + 83/16*c_1100_0^4 - 241/16*c_1100_0^3 + 863/32*c_1100_0^2 - 909/32*c_1100_0 + 53/4, c_0011_4 - 1, c_0011_5 + c_1100_0 - 1, c_0101_0 - c_1100_0 + 2, c_0101_3 - 1, c_0101_6 - 3/16*c_1100_0^6 + 15/8*c_1100_0^5 - 65/8*c_1100_0^4 + 19*c_1100_0^3 - 395/16*c_1100_0^2 + 137/8*c_1100_0 - 3, c_0101_9 + 3/32*c_1100_0^6 - 27/32*c_1100_0^5 + 53/16*c_1100_0^4 - 105/16*c_1100_0^3 + 171/32*c_1100_0^2 + 61/32*c_1100_0 - 25/4, c_1001_0 - 3/32*c_1100_0^6 + 33/32*c_1100_0^5 - 83/16*c_1100_0^4 + 241/16*c_1100_0^3 - 863/32*c_1100_0^2 + 941/32*c_1100_0 - 65/4, c_1100_0^7 - 12*c_1100_0^6 + 199/3*c_1100_0^5 - 216*c_1100_0^4 + 1345/3*c_1100_0^3 - 1804/3*c_1100_0^2 + 487*c_1100_0 - 584/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB