Magma V2.19-8 Wed Aug 21 2013 01:05:33 on localhost [Seed = 593836960] Type ? for help. Type -D to quit. Loading file "L14n2618__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2618 geometric_solution 12.40477830 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 1 1 1 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 -1 0 1 0 0 0 0 7 -7 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331257831290 0.883788513851 0 4 5 0 0132 0132 0132 2031 1 1 0 1 0 0 1 -1 0 0 0 0 2 -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 -7 7 0 0 -1 1 1 -1 0 0 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544446092054 0.719522747453 4 4 6 0 0132 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 3 0 -2 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 1 0 -1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331257831289 0.883788513851 7 4 0 8 0132 1302 0132 0132 1 1 1 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 0 -1 1 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361835732670 0.642076746522 2 1 2 3 0132 0132 3012 2031 1 1 1 0 0 0 1 -1 0 0 0 0 -1 1 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 8 -8 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628140248205 0.992113533198 9 7 6 1 0132 3120 2103 0132 1 1 1 1 0 1 0 -1 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 -7 0 7 -1 0 0 1 -1 0 0 1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883788513851 0.668742168710 5 10 8 2 2103 0132 0132 0132 1 1 1 1 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 0 7 -8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252238201156 1.451511612692 3 5 11 9 0132 3120 0132 0132 1 1 1 1 0 1 0 -1 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 -7 0 7 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173218571023 1.019234711533 12 10 3 6 0132 0213 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 1 0 -1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173218571023 1.019234711533 5 11 7 10 0132 2103 0132 3120 1 1 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 7 -7 0 1 0 0 -1 0 -8 0 8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960030310259 1.183500477931 9 6 8 12 3120 0132 0213 0132 1 1 1 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 -1 1 1 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586609285511 0.509617355766 12 9 12 7 3120 2103 2310 0132 1 1 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 8 -8 0 0 0 0 0 0 -7 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418969204304 0.476792985818 8 11 10 11 0132 3201 0132 3120 1 1 1 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 -1 1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418969204304 0.476792985818 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : 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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : 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' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_7'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 11036455/25456*c_1100_0^5 + 36078451/12728*c_1100_0^4 - 381958191/50912*c_1100_0^3 + 371036661/50912*c_1100_0^2 - 107258857/50912*c_1100_0 - 69558763/50912, c_0011_0 - 1, c_0011_10 - 21/86*c_1100_0^5 + 64/43*c_1100_0^4 - 613/172*c_1100_0^3 + 521/172*c_1100_0^2 - 303/172*c_1100_0 + 73/172, c_0011_11 - 2/43*c_1100_0^5 + 4/43*c_1100_0^4 + 22/43*c_1100_0^3 - 96/43*c_1100_0^2 + 90/43*c_1100_0 - 17/43, c_0011_12 - 19/43*c_1100_0^5 + 124/43*c_1100_0^4 - 657/86*c_1100_0^3 + 627/86*c_1100_0^2 - 139/86*c_1100_0 - 65/86, c_0011_3 + c_1100_0, c_0101_0 + 28/43*c_1100_0^5 - 185/43*c_1100_0^4 + 509/43*c_1100_0^3 - 1139/86*c_1100_0^2 + 331/43*c_1100_0 - 83/86, c_0101_1 - 1, c_0101_11 - 2/43*c_1100_0^5 + 4/43*c_1100_0^4 + 22/43*c_1100_0^3 - 96/43*c_1100_0^2 + 90/43*c_1100_0 - 17/43, c_0101_12 - 21/86*c_1100_0^5 + 64/43*c_1100_0^4 - 613/172*c_1100_0^3 + 521/172*c_1100_0^2 - 303/172*c_1100_0 + 73/172, c_0101_2 - 11/43*c_1100_0^5 + 65/43*c_1100_0^4 - 317/86*c_1100_0^3 + 117/43*c_1100_0^2 - 85/86*c_1100_0 - 29/43, c_0101_7 + 17/86*c_1100_0^5 - 60/43*c_1100_0^4 + 701/172*c_1100_0^3 - 733/172*c_1100_0^2 - 25/172*c_1100_0 + 203/172, c_1001_10 + 1, c_1100_0^6 - 7*c_1100_0^5 + 41/2*c_1100_0^4 - 26*c_1100_0^3 + 16*c_1100_0^2 - 3*c_1100_0 + 1/2 ], 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_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 27/500*c_1100_0^3 + 3/20*c_1100_0^2 - 51/500*c_1100_0 - 1/20, c_0011_0 - 1, c_0011_10 + c_0101_12 + 1/4*c_1100_0^3 + 3/4*c_1100_0^2 + 1/4*c_1100_0 - 1/4, c_0011_11 - 1/4*c_0101_12*c_1100_0^2 - 1/2*c_0101_12*c_1100_0 + 1/4*c_0101_12 - 1/4*c_1100_0^3 - 1/4*c_1100_0^2 + 1/4*c_1100_0 + 1/4, c_0011_12 - 1/4*c_1100_0^2 - 1/2*c_1100_0 + 1/4, c_0011_3 + c_1100_0, c_0101_0 - 1/2*c_1100_0^2 + 1/2, c_0101_1 - 1, c_0101_11 + 1/4*c_0101_12*c_1100_0^2 + 1/2*c_0101_12*c_1100_0 - 1/4*c_0101_12 + 1/4*c_1100_0^3 + 1/4*c_1100_0^2 - 1/4*c_1100_0 - 5/4, c_0101_12^2 + 1/4*c_0101_12*c_1100_0^3 + 3/4*c_0101_12*c_1100_0^2 + 1/4*c_0101_12*c_1100_0 - 1/4*c_0101_12 + 1/4*c_1100_0^3 + 1/4*c_1100_0^2 - 5/4*c_1100_0 - 5/4, c_0101_2 + 1/2*c_1100_0^3 - 1/2*c_1100_0 - 1, c_0101_7 - 1/4*c_1100_0^3 - 1/4*c_1100_0^2 + 3/4*c_1100_0 - 1/4, c_1001_10 + 1, c_1100_0^4 - 2*c_1100_0^2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB