Magma V2.19-8 Tue Aug 20 2013 23:56:27 on localhost [Seed = 2985810336] Type ? for help. Type -D to quit. Loading file "L14n21806__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21806 geometric_solution 10.90413168 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 -1 0 1 -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 0.795802855512 0.586282596397 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 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 1 0 -1 0 0 0 0 0 1 9 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590034516076 0.722310569721 7 0 9 8 0132 0132 0132 0132 1 0 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 1 -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 0 0 0 0.438722352387 1.185375847165 8 10 11 0 3120 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106244016856 1.065512270079 6 7 0 8 0132 3120 0132 3120 1 0 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 -1 1 0 10 0 -10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185487355461 0.600066441997 10 1 10 6 0213 0132 2031 2031 1 1 1 1 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 0 0 0 0 9 -9 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788944489507 0.337730901135 4 5 1 9 0132 1302 0132 3120 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 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 -0.092659714567 0.929276449956 2 4 11 1 0132 3120 3120 0132 1 0 1 1 0 0 0 0 -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 -1 1 0 -1 0 0 1 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438722352387 1.185375847165 4 10 2 3 3120 0213 0132 3120 1 0 1 1 0 0 0 0 0 0 1 -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 -1 0 1 0 10 0 0 -10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590034516076 0.722310569721 6 11 11 2 3120 0132 2103 0132 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 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 0.255660847312 1.496509321563 5 3 8 5 0213 0132 0213 1302 1 1 1 1 0 0 0 0 1 0 0 -1 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 -9 0 0 9 0 0 0 0 -9 10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071214169646 0.458564742684 9 9 7 3 2103 0132 3120 0132 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 0 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 0.889079544934 0.649272255423 ==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' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : d['1'], 's_2_1' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0101_3'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0110_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_0110_10, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 12/55*c_1001_11 - 19/55, c_0011_0 - 1, c_0011_10 - c_1001_0 - c_1001_11, c_0011_11 + c_1001_11 - 1, c_0011_4 + c_1001_0 + 3*c_1001_11, c_0101_0 - 1, c_0101_1 + 3*c_1001_0*c_1001_11 + 5*c_1001_0 + 3*c_1001_11 + 4, c_0101_11 + c_1001_0*c_1001_11 + 2*c_1001_0 + c_1001_11 + 1, c_0101_3 - c_1001_0*c_1001_11 - 2*c_1001_0 - 2*c_1001_11 - 2, c_0101_7 - 3*c_1001_0*c_1001_11 - 5*c_1001_0 - 3*c_1001_11 - 5, c_0110_10 + c_1001_0 + 2*c_1001_11, c_1001_0^2 + 3*c_1001_0*c_1001_11 + 5*c_1001_11 - 2, c_1001_11^2 + c_1001_11 - 1 ], 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_0110_10, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 683239/30942*c_1001_11^7 + 4647703/61884*c_1001_11^6 - 14479715/123768*c_1001_11^5 + 1522025/13752*c_1001_11^4 - 3394325/61884*c_1001_11^3 - 4283393/123768*c_1001_11^2 + 4064555/30942*c_1001_11 - 1510538/15471, c_0011_0 - 1, c_0011_10 + 537/191*c_1001_11^7 - 1129/382*c_1001_11^6 + 1021/764*c_1001_11^5 + 1793/764*c_1001_11^4 - 1409/382*c_1001_11^3 + 5055/764*c_1001_11^2 - 799/191*c_1001_11 - 1871/191, c_0011_11 - 325/191*c_1001_11^7 + 753/382*c_1001_11^6 - 773/764*c_1001_11^5 - 1295/764*c_1001_11^4 + 439/191*c_1001_11^3 - 2799/764*c_1001_11^2 + 843/382*c_1001_11 + 1132/191, c_0011_4 - 726/191*c_1001_11^7 + 1015/191*c_1001_11^6 - 1531/382*c_1001_11^5 - 177/382*c_1001_11^4 + 611/191*c_1001_11^3 - 3225/382*c_1001_11^2 + 1427/191*c_1001_11 + 1837/191, c_0101_0 - 1, c_0101_1 + 1895/1146*c_1001_11^7 - 1393/764*c_1001_11^6 + 805/1528*c_1001_11^5 + 8785/4584*c_1001_11^4 - 480/191*c_1001_11^3 + 5875/1528*c_1001_11^2 - 1421/764*c_1001_11 - 7385/1146, c_0101_11 - 251/382*c_1001_11^7 + 1047/764*c_1001_11^6 - 2755/1528*c_1001_11^5 + 1715/1528*c_1001_11^4 - 30/191*c_1001_11^3 - 2653/1528*c_1001_11^2 + 1475/764*c_1001_11 + 65/382, c_0101_3 - 251/382*c_1001_11^7 + 1047/764*c_1001_11^6 - 2755/1528*c_1001_11^5 + 1715/1528*c_1001_11^4 - 30/191*c_1001_11^3 - 2653/1528*c_1001_11^2 + 1475/764*c_1001_11 + 65/382, c_0101_7 + 1895/1146*c_1001_11^7 - 1393/764*c_1001_11^6 + 805/1528*c_1001_11^5 + 8785/4584*c_1001_11^4 - 480/191*c_1001_11^3 + 5875/1528*c_1001_11^2 - 1421/764*c_1001_11 - 7385/1146, c_0110_10 + 537/191*c_1001_11^7 - 1129/382*c_1001_11^6 + 1021/764*c_1001_11^5 + 1793/764*c_1001_11^4 - 1409/382*c_1001_11^3 + 5055/764*c_1001_11^2 - 799/191*c_1001_11 - 1871/191, c_1001_0 - 726/191*c_1001_11^7 + 1015/191*c_1001_11^6 - 1531/382*c_1001_11^5 - 177/382*c_1001_11^4 + 611/191*c_1001_11^3 - 3225/382*c_1001_11^2 + 1427/191*c_1001_11 + 1837/191, c_1001_11^8 - 5/2*c_1001_11^7 + 9/4*c_1001_11^6 - 1/4*c_1001_11^5 - 2*c_1001_11^4 + 15/4*c_1001_11^3 - 9/2*c_1001_11^2 - c_1001_11 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB