Magma V2.19-8 Wed Aug 21 2013 01:03:18 on localhost [Seed = 1663400803] Type ? for help. Type -D to quit. Loading file "L14n1969__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1969 geometric_solution 12.72192500 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 2 -2 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 -1 0 1 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363147785129 0.723722752560 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -6 6 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 0.436211721940 0.828164499666 8 0 9 6 0132 0132 0132 2031 0 1 1 1 0 0 0 0 1 0 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 0 5 0 0 -5 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124631891150 1.134527773067 7 10 8 0 2310 0132 0132 0132 0 1 1 1 0 1 1 -2 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 1 0 -1 6 0 -5 -1 1 0 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446126338027 1.103823257716 10 11 0 6 0321 0132 0132 2103 0 1 1 1 0 -1 2 -1 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 0 1 -1 0 0 0 0 -5 0 0 5 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552427446797 1.219527445400 11 1 7 9 0321 0132 3012 1230 1 1 1 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 6 -6 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 0.781862698850 0.818421866020 12 2 1 4 0132 1302 0132 2103 1 1 0 1 0 1 0 -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 5 0 -5 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 0.607986624901 1.038759554459 12 5 3 1 3201 1230 3201 0132 1 1 1 1 0 0 1 -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 6 -6 0 0 -1 1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561702306121 0.825100356663 2 11 12 3 0132 0321 3120 0132 0 1 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 0 0 0 -5 0 0 5 0 6 0 -6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426297105852 0.552505741616 5 10 11 2 3012 0321 0321 0132 0 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 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074323782163 0.860245649510 4 3 12 9 0321 0132 3012 0321 0 1 1 1 0 -1 1 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 -1 1 0 -1 0 1 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265217432600 0.722653647412 5 4 9 8 0321 0132 0321 0321 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074323782163 0.860245649510 6 10 8 7 0132 1230 3120 2310 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 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 0.580313679128 0.717044023382 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_12']), 'c_1001_8' : negation(d['c_1001_12']), 'c_1010_12' : negation(d['c_0101_1']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : 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' : negation(d['c_0101_1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : 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_1100_9' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : d['c_1001_11'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_1001_12']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_1001_11']), 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_7'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_1001_11, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 292/35*c_1001_12 + 1622/525, c_0011_0 - 1, c_0011_10 + 4/7*c_1001_12 + 5/7, c_0011_11 + 4/7*c_1001_12 - 2/7, c_0011_12 + 1, c_0011_7 + 2/7*c_1001_12 - 1/7, c_0101_0 + 4/7*c_1001_12 - 2/7, c_0101_1 - 2/7*c_1001_12 - 6/7, c_0101_11 + 6/7*c_1001_12 - 3/7, c_0101_12 - 1, c_0101_2 + 6/7*c_1001_12 + 4/7, c_1001_11 + c_1001_12 + 1/2, c_1001_12^2 + 1/2*c_1001_12 + 5/4, c_1001_2 - 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_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_1001_11, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1021/22*c_1001_2^3 - 172/11*c_1001_2^2 - 569/88*c_1001_2 + 48/11, c_0011_0 - 1, c_0011_10 + 16/11*c_1001_2^3 + 20/11*c_1001_2^2 - 6/11*c_1001_2 - 13/11, c_0011_11 + 24/11*c_1001_2^3 + 8/11*c_1001_2^2 - 20/11*c_1001_2 - 3/11, c_0011_12 + 1, c_0011_7 - 4/11*c_1001_2^3 + 6/11*c_1001_2^2 - 4/11*c_1001_2 - 5/11, c_0101_0 + 8/11*c_1001_2^3 - 12/11*c_1001_2^2 + 8/11*c_1001_2 + 10/11, c_0101_1 + 12/11*c_1001_2^3 - 18/11*c_1001_2^2 - 10/11*c_1001_2 + 15/11, c_0101_11 - 28/11*c_1001_2^3 - 2/11*c_1001_2^2 + 16/11*c_1001_2 - 2/11, c_0101_12 + 1, c_0101_2 - 28/11*c_1001_2^3 - 2/11*c_1001_2^2 + 16/11*c_1001_2 + 9/11, c_1001_11 - 2*c_1001_2^3 - c_1001_2^2 + c_1001_2 + 1, c_1001_12 - 2*c_1001_2^3 + c_1001_2^2 + c_1001_2 - 1, c_1001_2^4 - 5/4*c_1001_2^2 + 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_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_1001_11, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 13670/153*c_1001_2^5 + 433/51*c_1001_2^4 + 6616/51*c_1001_2^3 - 40433/612*c_1001_2^2 - 411/68*c_1001_2 - 2906/153, c_0011_0 - 1, c_0011_10 - 12/17*c_1001_2^5 - 26/17*c_1001_2^4 + 20/17*c_1001_2^3 + 115/34*c_1001_2^2 - 47/34*c_1001_2 - 73/34, c_0011_11 + 24/17*c_1001_2^5 + 52/17*c_1001_2^4 - 40/17*c_1001_2^3 - 47/17*c_1001_2^2 + 47/17*c_1001_2 + 22/17, c_0011_12 + 1, c_0011_7 - 168/17*c_1001_2^5 - 92/17*c_1001_2^4 + 280/17*c_1001_2^3 + 57/17*c_1001_2^2 - 125/17*c_1001_2 - 52/17, c_0101_0 - 156/17*c_1001_2^5 - 66/17*c_1001_2^4 + 260/17*c_1001_2^3 - 1/34*c_1001_2^2 - 271/34*c_1001_2 - 31/34, c_0101_1 - 12/17*c_1001_2^5 - 26/17*c_1001_2^4 + 20/17*c_1001_2^3 + 115/34*c_1001_2^2 - 47/34*c_1001_2 - 73/34, c_0101_11 + 120/17*c_1001_2^5 - 12/17*c_1001_2^4 - 200/17*c_1001_2^3 + 105/17*c_1001_2^2 + 65/17*c_1001_2 - 9/17, c_0101_12 - 1, c_0101_2 - 1, c_1001_11 - 8/17*c_1001_2^5 + 28/17*c_1001_2^4 + 36/17*c_1001_2^3 - 41/17*c_1001_2^2 - 10/17*c_1001_2 + 4/17, c_1001_12 - 8/17*c_1001_2^5 + 28/17*c_1001_2^4 + 36/17*c_1001_2^3 - 41/17*c_1001_2^2 - 10/17*c_1001_2 + 4/17, c_1001_2^6 + 1/2*c_1001_2^5 - 3/2*c_1001_2^4 - 1/8*c_1001_2^3 + 1/2*c_1001_2^2 + 1/4*c_1001_2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB