Magma V2.19-8 Tue Aug 20 2013 23:49:24 on localhost [Seed = 189620723] Type ? for help. Type -D to quit. Loading file "L12n16__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n16 geometric_solution 11.29496914 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 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 1 0 -1 0 0 0 0 -1 -4 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543524447292 0.683904854771 0 4 3 5 0132 0132 0213 0132 1 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353373261729 0.157908775959 0 0 4 6 3012 0132 1023 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 -1 1 0 1 0 0 -1 0 -1 0 1 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675164031202 1.011550248346 5 1 7 0 0132 0213 0132 0132 1 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 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 0.812825280741 0.514312661312 5 1 2 7 1023 0132 1023 0321 1 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 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675164031202 1.011550248346 3 4 1 6 0132 1023 0132 0321 1 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 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 0.872462592938 1.183231917850 8 5 2 9 0132 0321 0132 0132 1 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 0 0 0 0 0 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 0.434409952953 0.738257936606 10 4 11 3 0132 0321 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653924161540 0.853559401753 6 10 10 11 0132 0213 0132 3012 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417861920622 0.864195152332 11 10 6 11 0132 2103 0132 2031 1 1 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417861920622 0.864195152332 7 9 8 8 0132 2103 0213 0132 0 1 1 1 0 1 -2 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 -1 1 0 0 0 -1 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546512975912 0.937872700339 9 9 8 7 0132 1302 1230 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 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 0.546512975912 0.937872700339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_7'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_2_7' : negation(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' : negation(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_1100_9' : negation(d['c_1001_7']), 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0101_11']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_6']), '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_6, c_0101_0, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 245/242*c_1001_7^4 + 387/242*c_1001_7^3 + 28/121*c_1001_7^2 - 203/242*c_1001_7 - 38/121, c_0011_0 - 1, c_0011_10 - 2*c_1001_7^4 + 2*c_1001_7^2 + c_1001_7 - 2, c_0011_11 + 1, c_0011_6 - c_1001_7, c_0101_0 - c_1001_7^4 + c_1001_7^3 + 2*c_1001_7^2 - c_1001_7 - 2, c_0101_11 + 1, c_0101_2 + c_1001_7^3 - c_1001_7 - 1, c_0101_6 + 2*c_1001_7^4 - 2*c_1001_7^2 - c_1001_7 + 2, c_0101_7 + 2*c_1001_7^4 - 2*c_1001_7^2 + 2, c_1001_0 - 2*c_1001_7^4 + 3*c_1001_7^2 + c_1001_7 - 3, c_1001_1 - 2*c_1001_7^4 + 3*c_1001_7^2 + c_1001_7 - 3, c_1001_7^5 - 2*c_1001_7^3 - c_1001_7^2 + 2*c_1001_7 + 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_6, c_0101_0, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1670211/25198592*c_1001_7^6 - 1985299/25198592*c_1001_7^5 - 631643/12599296*c_1001_7^4 - 3889437/25198592*c_1001_7^3 + 8138745/25198592*c_1001_7^2 + 1546829/25198592*c_1001_7 + 11774861/25198592, c_0011_0 - 1, c_0011_10 - 3/1538*c_1001_7^6 + 108/769*c_1001_7^5 + 25/769*c_1001_7^4 - 477/1538*c_1001_7^3 + 11/769*c_1001_7^2 - 21/1538*c_1001_7 - 22/769, c_0011_11 + 1, c_0011_6 - c_1001_7, c_0101_0 - 54/769*c_1001_7^6 + 43/769*c_1001_7^5 + 131/769*c_1001_7^4 - 127/769*c_1001_7^3 - 373/769*c_1001_7^2 + 391/769*c_1001_7 - 23/769, c_0101_11 - 1, c_0101_2 + 65/1538*c_1001_7^6 - 33/769*c_1001_7^5 - 29/769*c_1001_7^4 - 431/1538*c_1001_7^3 + 18/769*c_1001_7^2 + 455/1538*c_1001_7 - 36/769, c_0101_6 + 3/1538*c_1001_7^6 - 108/769*c_1001_7^5 - 25/769*c_1001_7^4 + 477/1538*c_1001_7^3 - 11/769*c_1001_7^2 + 21/1538*c_1001_7 + 22/769, c_0101_7 - 3/1538*c_1001_7^6 + 108/769*c_1001_7^5 + 25/769*c_1001_7^4 - 477/1538*c_1001_7^3 + 11/769*c_1001_7^2 + 1517/1538*c_1001_7 - 22/769, c_1001_0 - 21/1538*c_1001_7^6 - 13/769*c_1001_7^5 + 175/769*c_1001_7^4 - 263/1538*c_1001_7^3 + 77/769*c_1001_7^2 - 147/1538*c_1001_7 - 154/769, c_1001_1 - 21/1538*c_1001_7^6 - 13/769*c_1001_7^5 + 175/769*c_1001_7^4 - 263/1538*c_1001_7^3 + 77/769*c_1001_7^2 - 147/1538*c_1001_7 - 154/769, c_1001_7^7 - c_1001_7^6 - 2*c_1001_7^5 + c_1001_7^4 + 3*c_1001_7^3 - c_1001_7^2 - c_1001_7 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB