Magma V2.19-8 Wed Aug 21 2013 01:05:17 on localhost [Seed = 1764717053] Type ? for help. Type -D to quit. Loading file "L14n25528__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25528 geometric_solution 11.98888890 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 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 0 0 0 0 0 -1 0 1 -3 0 3 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124517928495 0.780329311428 0 3 6 5 0132 2031 0132 0132 0 0 0 0 0 0 0 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 0 -1 1 3 0 -4 1 0 -1 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820293097592 0.755030510099 6 0 7 7 2310 0132 0213 0132 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 4 0 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754050284839 0.897886712398 1 8 5 0 1302 0132 2031 0132 1 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 4 0 -1 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180703944909 0.436095891532 9 8 0 10 0132 0213 0132 0132 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 0 0 0 0 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 0 0 0 1.056583595631 1.142666290059 6 10 1 3 1230 1302 0132 1302 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 -1 1 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 0.791045880547 0.896837467067 9 5 2 1 3120 3012 3201 0132 0 0 0 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 -1 0 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441342670530 0.509320929474 10 2 2 11 1302 0213 0132 0132 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 1 0 -1 0 0 -1 1 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283779899761 1.035993073114 12 3 4 9 0132 0132 0213 0321 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 0 0 0 0 1 0 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508100569678 1.795773424795 4 8 11 6 0132 0321 3201 3120 1 0 0 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 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068852824966 0.543668607999 12 7 4 5 1230 2031 0132 2031 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 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 0.560310415555 1.483998125346 9 12 7 12 2310 1230 0132 1023 1 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 1 -1 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 0.451516974048 0.653107134736 8 10 11 11 0132 3012 3012 1023 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 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 0.754050284839 0.897886712398 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0011_5'], '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' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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_10'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_1010_5']), 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : negation(d['c_1010_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_11']), '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_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_5'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_4'], 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_4'], '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_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_0, c_1001_11, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 121/76*c_0101_10*c_1001_11 + 82/57*c_0101_10 + 1901/1596*c_1001_11 + 5123/1596, c_0011_0 - 1, c_0011_10 - c_0101_10*c_1001_11 - c_0101_10 + 1, c_0011_12 + 2*c_0101_10*c_1001_11 - 3, c_0011_4 - c_0101_10 - c_1001_11 - 1, c_0011_5 + c_0101_10*c_1001_11 + c_0101_10 + c_1001_11 - 1, c_0011_6 + c_0101_10*c_1001_11 + c_0101_10 + c_1001_11 + 1, c_0101_0 - 2*c_0101_10*c_1001_11 + 2, c_0101_1 + 2*c_0101_10*c_1001_11 - 1, c_0101_10^2 + 2*c_0101_10 + c_1001_11 + 3, c_0101_11 + c_1001_11 + 1, c_1001_0 - 1, c_1001_11^2 + c_1001_11 + 1, c_1010_5 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_0, c_1001_11, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 217177/309760*c_1010_5^7 - 23795/61952*c_1010_5^6 + 107799/30976*c_1010_5^5 - 310193/309760*c_1010_5^4 + 391885/61952*c_1010_5^3 + 159679/28160*c_1010_5^2 + 304451/38720*c_1010_5 + 693547/309760, c_0011_0 - 1, c_0011_10 - 1/4*c_1010_5^7 - 1/4*c_1010_5^6 - c_1010_5^5 - 5/4*c_1010_5^4 - 7/4*c_1010_5^3 - 17/4*c_1010_5^2 - 6*c_1010_5 - 13/4, c_0011_12 + 1, c_0011_4 + 1, c_0011_5 + 1/8*c_1010_5^7 + 3/8*c_1010_5^6 + 1/4*c_1010_5^5 + 15/8*c_1010_5^4 - 1/8*c_1010_5^3 + 37/8*c_1010_5^2 + 17/4*c_1010_5 + 29/8, c_0011_6 - 1/2*c_1010_5^7 + 1/4*c_1010_5^6 - 5/2*c_1010_5^5 + 1/2*c_1010_5^4 - 17/4*c_1010_5^3 - 9/2*c_1010_5^2 - 21/4*c_1010_5 - 7/4, c_0101_0 + 3/8*c_1010_5^7 + 3/8*c_1010_5^6 + 5/4*c_1010_5^5 + 21/8*c_1010_5^4 + 11/8*c_1010_5^3 + 71/8*c_1010_5^2 + 7*c_1010_5 + 41/8, c_0101_1 - 3/8*c_1010_5^7 - 3/8*c_1010_5^6 - 5/4*c_1010_5^5 - 21/8*c_1010_5^4 - 11/8*c_1010_5^3 - 71/8*c_1010_5^2 - 8*c_1010_5 - 41/8, c_0101_10 - 1/8*c_1010_5^7 - 3/8*c_1010_5^6 - 1/4*c_1010_5^5 - 15/8*c_1010_5^4 + 1/8*c_1010_5^3 - 37/8*c_1010_5^2 - 17/4*c_1010_5 - 29/8, c_0101_11 + 1/2*c_1010_5^7 - 1/4*c_1010_5^6 + 5/2*c_1010_5^5 - 1/2*c_1010_5^4 + 17/4*c_1010_5^3 + 9/2*c_1010_5^2 + 21/4*c_1010_5 + 11/4, c_1001_0 - 1, c_1001_11 + 1/8*c_1010_5^7 - 1/8*c_1010_5^6 + 3/4*c_1010_5^5 - 5/8*c_1010_5^4 + 15/8*c_1010_5^3 - 3/8*c_1010_5^2 + 7/4*c_1010_5 - 3/8, c_1010_5^8 + 5*c_1010_5^6 + c_1010_5^5 + 10*c_1010_5^4 + 12*c_1010_5^3 + 19*c_1010_5^2 + 11*c_1010_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.540 seconds, Total memory usage: 32.09MB