Magma V2.19-8 Tue Aug 20 2013 23:50:46 on localhost [Seed = 1932859468] Type ? for help. Type -D to quit. Loading file "L12n830__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n830 geometric_solution 10.71919775 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 1230 0132 1 1 0 1 0 0 1 -1 -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 6 -7 -6 0 6 0 0 -1 0 1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188914584831 0.666999479033 0 4 5 0 0132 0132 0132 3012 1 1 1 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 6 0 -6 6 0 0 -6 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606900507412 1.387913786533 6 0 8 7 0132 0132 0132 0132 1 0 1 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 -1 1 0 0 0 0 0 1 0 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788767810784 0.666430505389 9 5 0 9 0132 1023 0132 1023 1 1 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 0 0 7 -7 6 0 0 -6 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542279875761 1.105449959104 6 1 9 7 1023 0132 0321 3120 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 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 -0.308591262799 1.516702729427 3 10 7 1 1023 0132 3012 0132 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 -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 -0.264486971383 0.604852211290 2 4 9 10 0132 1023 2310 2310 0 0 0 1 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 0 0 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126549350333 0.582228102372 4 5 2 8 3120 1230 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.258851905502 0.586302424112 11 7 11 2 0132 0321 0213 0132 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 1 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707135927504 0.632885860413 3 6 4 3 0132 3201 0321 1023 1 1 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 0 0 -6 6 -6 0 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109367323654 0.917960644422 6 5 11 11 3201 0132 0321 0213 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 1 -1 0 2 0 0 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602212040792 1.301393791118 8 8 10 10 0132 0213 0321 0213 1 0 0 0 0 0 0 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 -1 1 0 1 0 0 -1 -1 -1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602212040792 1.301393791118 ==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_7']), 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_0']), 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0101_4']), 'c_1010_8' : d['c_0101_5'], 's_3_1' : 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' : 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' : 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_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_4']), 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : negation(d['c_0101_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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_5, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 777/86*c_1001_11^7 - 1261/86*c_1001_11^6 - 2463/43*c_1001_11^5 + 5991/86*c_1001_11^4 + 10875/86*c_1001_11^3 - 7769/86*c_1001_11^2 - 8053/86*c_1001_11 + 1315/43, c_0011_0 - 1, c_0011_10 - c_1001_11^3 + 2*c_1001_11 - 1, c_0011_11 + c_1001_11^4 - 2*c_1001_11^2, c_0011_7 - c_1001_11^7 + c_1001_11^6 + 5*c_1001_11^5 - 3*c_1001_11^4 - 6*c_1001_11^3 + 2*c_1001_11^2 + c_1001_11, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - c_1001_11^6 + c_1001_11^5 + 3*c_1001_11^4 - 3*c_1001_11^3 - c_1001_11^2 + 2*c_1001_11 - 1, c_0101_4 + c_1001_11^2 - 1, c_0101_5 + c_1001_11^7 - c_1001_11^6 - 5*c_1001_11^5 + 3*c_1001_11^4 + 6*c_1001_11^3 - 2*c_1001_11^2 - c_1001_11, c_0101_6 + c_1001_11^4 - c_1001_11^3 - 2*c_1001_11^2 + 2*c_1001_11, c_1001_0 + c_1001_11^7 - c_1001_11^6 - 5*c_1001_11^5 + 3*c_1001_11^4 + 6*c_1001_11^3 - 2*c_1001_11^2 - c_1001_11 + 1, c_1001_11^8 - c_1001_11^7 - 6*c_1001_11^6 + 4*c_1001_11^5 + 11*c_1001_11^4 - 5*c_1001_11^3 - 6*c_1001_11^2 + 2*c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.360 seconds, Total memory usage: 32.09MB