Magma V2.19-8 Tue Aug 20 2013 23:47:14 on localhost [Seed = 3398213774] Type ? for help. Type -D to quit. Loading file "K8a15__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K8a15 geometric_solution 10.57902192 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 5 0 -5 0 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788326708662 0.712372917512 0 5 3 6 0132 0132 0213 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -5 0 5 0 6 0 0 -6 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314869494821 0.480993743321 4 0 8 7 0213 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 5 0 -5 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 0.638587867702 0.527783929248 5 1 8 0 0132 0213 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 -5 5 5 -5 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197623087207 0.589881945612 2 8 0 9 0213 0132 0132 0132 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 -1 1 0 0 0 0 -5 5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488849026741 0.343194940983 3 1 6 10 0132 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0 6 0 -6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513461951636 0.962305731394 5 11 1 7 2103 0132 0132 0321 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 0 0 0 0 1 -1 0 0 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999628904738 0.846749642716 9 6 2 10 0321 0321 0132 0321 0 0 0 0 0 0 0 0 -1 0 0 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 -6 0 0 6 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.163128123491 1.317721815938 10 4 3 2 0321 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 -5 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 1.012492582028 1.070875688933 7 11 4 11 0321 2031 0132 2103 0 0 0 0 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 -1 1 -6 0 0 6 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766395857407 0.552013156763 8 7 5 11 0321 0321 0132 0132 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 -1 0 0 1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.406655936359 1.427062147689 9 6 10 9 1302 0132 0132 2103 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 6 0 0 -6 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140889962900 0.618792545658 ==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' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), '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_1001_2'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0110_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : 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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_1'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0110_11']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0110_11']), 'c_1100_3' : negation(d['c_0110_11']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0011_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : 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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_10, c_0101_7, c_0110_11, c_1001_0, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 5/14*c_1001_2^4 + 5/56*c_1001_2^3 + 1/8*c_1001_2^2 - 1/4*c_1001_2 - 9/56, c_0011_0 - 1, c_0011_10 - c_1001_2, c_0011_11 - 1, c_0011_7 + c_1001_2^4 - c_1001_2^3 + c_1001_2^2 - c_1001_2 + 3, c_0101_0 + 1/2*c_1001_2^4 - c_1001_2^3 + 3/2*c_1001_2^2 - 1/2*c_1001_2 + 1/2, c_0101_10 - 1/2*c_1001_2^4 + 1/2*c_1001_2^2 - 1/2*c_1001_2 - 1/2, c_0101_7 - 3*c_1001_2^4 + 5*c_1001_2^3 - 6*c_1001_2^2 + 3*c_1001_2 - 7, c_0110_11 - c_1001_2^4 + 2*c_1001_2^3 - 2*c_1001_2^2 + c_1001_2 - 2, c_1001_0 + 1/2*c_1001_2^4 - c_1001_2^3 + 3/2*c_1001_2^2 - 3/2*c_1001_2 + 3/2, c_1001_1 + 3/2*c_1001_2^4 - 2*c_1001_2^3 + 3/2*c_1001_2^2 - 1/2*c_1001_2 + 5/2, c_1001_11 - 1/2*c_1001_2^4 + c_1001_2^3 - 3/2*c_1001_2^2 + 1/2*c_1001_2 - 1/2, c_1001_2^5 - c_1001_2^4 + c_1001_2^3 + 2*c_1001_2 + 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_7, c_0101_0, c_0101_10, c_0101_7, c_0110_11, c_1001_0, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 944099/3353*c_1001_2^11 - 1792215/3353*c_1001_2^10 - 1405211/3353*c_1001_2^9 - 584938/3353*c_1001_2^8 + 3237396/3353*c_1001_2^7 - 596156/479*c_1001_2^6 + 1694058/479*c_1001_2^5 + 9899234/3353*c_1001_2^4 + 11776829/3353*c_1001_2^3 + 770366/3353*c_1001_2^2 + 2888626/3353*c_1001_2 - 303964/3353, c_0011_0 - 1, c_0011_10 - 1175/479*c_1001_2^11 + 2058/479*c_1001_2^10 + 2121/479*c_1001_2^9 + 1016/479*c_1001_2^8 - 3820/479*c_1001_2^7 + 4410/479*c_1001_2^6 - 14286/479*c_1001_2^5 - 15344/479*c_1001_2^4 - 17428/479*c_1001_2^3 - 4852/479*c_1001_2^2 - 4408/479*c_1001_2 - 1051/479, c_0011_11 - 321/479*c_1001_2^11 + 1391/479*c_1001_2^10 - 849/479*c_1001_2^9 - 1051/479*c_1001_2^8 - 1704/479*c_1001_2^7 + 3665/479*c_1001_2^6 - 7617/479*c_1001_2^5 + 5146/479*c_1001_2^4 + 4094/479*c_1001_2^3 + 8804/479*c_1001_2^2 + 362/479*c_1001_2 + 2668/479, c_0011_7 - 1489/479*c_1001_2^11 + 2301/479*c_1001_2^10 + 3305/479*c_1001_2^9 + 1601/479*c_1001_2^8 - 4690/479*c_1001_2^7 + 4657/479*c_1001_2^6 - 16544/479*c_1001_2^5 - 23285/479*c_1001_2^4 - 24206/479*c_1001_2^3 - 9458/479*c_1001_2^2 - 5758/479*c_1001_2 - 2212/479, c_0101_0 + 1222/479*c_1001_2^11 - 2102/479*c_1001_2^10 - 2225/479*c_1001_2^9 - 980/479*c_1001_2^8 + 3877/479*c_1001_2^7 - 4778/479*c_1001_2^6 + 14206/479*c_1001_2^5 + 15747/479*c_1001_2^4 + 17033/479*c_1001_2^3 + 4797/479*c_1001_2^2 + 4546/479*c_1001_2 + 1208/479, c_0101_10 - 3186/479*c_1001_2^11 + 5663/479*c_1001_2^10 + 5460/479*c_1001_2^9 + 2421/479*c_1001_2^8 - 10417/479*c_1001_2^7 + 13093/479*c_1001_2^6 - 38431/479*c_1001_2^5 - 38641/479*c_1001_2^4 - 43209/479*c_1001_2^3 - 8848/479*c_1001_2^2 - 12035/479*c_1001_2 - 818/479, c_0101_7 - 1269/479*c_1001_2^11 + 2625/479*c_1001_2^10 + 1371/479*c_1001_2^9 + 465/479*c_1001_2^8 - 4413/479*c_1001_2^7 + 6583/479*c_1001_2^6 - 16521/479*c_1001_2^5 - 9444/479*c_1001_2^4 - 12806/479*c_1001_2^3 + 2443/479*c_1001_2^2 - 3247/479*c_1001_2 + 1030/479, c_0110_11 + 506/479*c_1001_2^11 - 2033/479*c_1001_2^10 + 1204/479*c_1001_2^9 + 1315/479*c_1001_2^8 + 2601/479*c_1001_2^7 - 5725/479*c_1001_2^6 + 11022/479*c_1001_2^5 - 7779/479*c_1001_2^4 - 4915/479*c_1001_2^3 - 13678/479*c_1001_2^2 - 308/479*c_1001_2 - 3752/479, c_1001_0 - 164/479*c_1001_2^11 + 1030/479*c_1001_2^10 - 962/479*c_1001_2^9 - 1104/479*c_1001_2^8 - 1269/479*c_1001_2^7 + 2823/479*c_1001_2^6 - 5051/479*c_1001_2^5 + 6482/479*c_1001_2^4 + 6046/479*c_1001_2^3 + 9670/479*c_1001_2^2 + 1516/479*c_1001_2 + 2530/479, c_1001_1 + 137/479*c_1001_2^11 + 45/479*c_1001_2^10 - 721/479*c_1001_2^9 - 690/479*c_1001_2^8 + 105/479*c_1001_2^7 + 507/479*c_1001_2^6 + 735/479*c_1001_2^5 + 5129/479*c_1001_2^4 + 6054/479*c_1001_2^3 + 5445/479*c_1001_2^2 + 1666/479*c_1001_2 + 1222/479, c_1001_11 - 14/479*c_1001_2^11 - 578/479*c_1001_2^10 + 1203/479*c_1001_2^9 + 1039/479*c_1001_2^8 + 248/479*c_1001_2^7 - 2265/479*c_1001_2^6 + 2215/479*c_1001_2^5 - 8314/479*c_1001_2^4 - 7954/479*c_1001_2^3 - 8147/479*c_1001_2^2 - 1366/479*c_1001_2 - 2401/479, c_1001_2^12 - 2*c_1001_2^11 - c_1001_2^10 - c_1001_2^9 + 3*c_1001_2^8 - 5*c_1001_2^7 + 14*c_1001_2^6 + 8*c_1001_2^5 + 15*c_1001_2^4 + 3*c_1001_2^3 + 7*c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.380 seconds, Total memory usage: 32.09MB