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Loading file "K12n248__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n248 geometric_solution 7.50472409 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 1 -1 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 2.076326228551 0.821085163863 0 3 6 5 0132 1230 0132 0132 0 0 0 0 0 0 -1 1 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 2 -2 -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 0.730984229861 0.421416017376 3 0 7 6 1023 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229494521525 0.449237834688 5 2 1 0 0132 1023 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183037717684 0.881543878794 5 7 0 6 3012 0132 0132 2031 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 0 0 0 0 0 0 0.766808040684 0.996312949790 3 7 1 4 0132 3012 0132 1230 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 -2 2 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 0.802050154280 0.549743851043 8 4 2 1 0132 1302 2031 0132 0 0 0 0 0 -1 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 0 0 0 0 1 1 -2 2 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 1.636408035023 1.355624310629 5 4 8 2 1230 0132 0321 0132 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 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811138041625 1.046030144502 6 8 7 8 0132 2310 0321 3201 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.104479335822 0.767286842997 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_0101_6'], 's_2_8' : d['1'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_6'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_6']), '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_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' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_1'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_6, c_0110_2, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 130724889/110390*c_1001_2^16 + 921399364/55195*c_1001_2^15 - 13748904189/110390*c_1001_2^14 + 34626167014/55195*c_1001_2^13 - 259565687733/110390*c_1001_2^12 + 379785704898/55195*c_1001_2^11 - 46906150498/2905*c_1001_2^10 + 1701345263162/55195*c_1001_2^9 - 2658677558893/55195*c_1001_2^8 + 3399741680422/55195*c_1001_2^7 - 3534071203496/55195*c_1001_2^6 + 2946153133667/55195*c_1001_2^5 - 3850395354851/110390*c_1001_2^4 + 950916044356/55195*c_1001_2^3 - 668759708737/110390*c_1001_2^2 + 150661408783/110390*c_1001_2 - 8393749509/55195, c_0011_0 - 1, c_0011_4 - c_1001_2^5 + 4*c_1001_2^4 - 10*c_1001_2^3 + 13*c_1001_2^2 - 10*c_1001_2 + 3, c_0011_6 - c_1001_2^15 + 13*c_1001_2^14 - 89*c_1001_2^13 + 409*c_1001_2^12 - 1389*c_1001_2^11 + 3653*c_1001_2^10 - 7629*c_1001_2^9 + 12809*c_1001_2^8 - 17350*c_1001_2^7 + 18882*c_1001_2^6 - 16314*c_1001_2^5 + 10950*c_1001_2^4 - 5508*c_1001_2^3 + 1956*c_1001_2^2 - 440*c_1001_2 + 48, c_0101_0 + c_1001_2^6 - 5*c_1001_2^5 + 15*c_1001_2^4 - 26*c_1001_2^3 + 29*c_1001_2^2 - 18*c_1001_2 + 5, c_0101_1 + c_1001_2^6 - 5*c_1001_2^5 + 15*c_1001_2^4 - 26*c_1001_2^3 + 29*c_1001_2^2 - 18*c_1001_2 + 5, c_0101_6 + c_1001_2^13 - 11*c_1001_2^12 + 64*c_1001_2^11 - 248*c_1001_2^10 + 701*c_1001_2^9 - 1507*c_1001_2^8 + 2512*c_1001_2^7 - 3264*c_1001_2^6 + 3286*c_1001_2^5 - 2518*c_1001_2^4 + 1420*c_1001_2^3 - 556*c_1001_2^2 + 136*c_1001_2 - 16, c_0110_2 + c_1001_2^12 - 10*c_1001_2^11 + 54*c_1001_2^10 - 194*c_1001_2^9 + 507*c_1001_2^8 - 1000*c_1001_2^7 + 1512*c_1001_2^6 - 1752*c_1001_2^5 + 1534*c_1001_2^4 - 984*c_1001_2^3 + 436*c_1001_2^2 - 120*c_1001_2 + 16, c_1001_1 - c_1001_2^16 + 14*c_1001_2^15 - 103*c_1001_2^14 + 510*c_1001_2^13 - 1874*c_1001_2^12 + 5364*c_1001_2^11 - 12285*c_1001_2^10 + 22840*c_1001_2^9 - 34685*c_1001_2^8 + 43008*c_1001_2^7 - 43258*c_1001_2^6 + 34820*c_1001_2^5 - 21930*c_1001_2^4 + 10424*c_1001_2^3 - 3524*c_1001_2^2 + 760*c_1001_2 - 80, c_1001_2^17 - 15*c_1001_2^16 + 118*c_1001_2^15 - 626*c_1001_2^14 + 2473*c_1001_2^13 - 7647*c_1001_2^12 + 19038*c_1001_2^11 - 38778*c_1001_2^10 + 65154*c_1001_2^9 - 90502*c_1001_2^8 + 103616*c_1001_2^7 - 96961*c_1001_2^6 + 73069*c_1001_2^5 - 43319*c_1001_2^4 + 19482*c_1001_2^3 - 6269*c_1001_2^2 + 1298*c_1001_2 - 133 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB