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Loading file "L13n2609__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2609 geometric_solution 10.92709835 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 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 0 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 0.416407016958 0.628837425074 0 4 0 5 0132 0132 3012 0132 0 1 0 1 0 0 0 0 0 0 0 0 1 1 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 -1 0 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 0.267960449882 1.105490174282 6 7 8 0 0132 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 -1 1 1 0 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654774865129 0.811189703635 9 7 0 10 0132 0321 0132 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 0 -1 1 0 0 0 0 0 0 0 0 -6 7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416407016958 0.628837425074 8 1 6 10 2103 0132 3120 2103 0 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571612921065 0.430956592206 10 11 1 9 0132 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 1 -1 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 -7 7 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475746829718 0.435182691258 2 11 4 9 0132 2310 3120 0321 0 1 1 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 0 0 0 0 0 0 0 -6 0 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569990814012 0.925923500044 11 2 9 3 0132 0132 1230 0321 1 1 1 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 0 0 0 0 0 0 0 7 0 0 -7 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967708691493 0.583639578647 11 10 4 2 2310 0132 2103 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 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 -1 0 0 1 -7 7 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.299013697490 1.394407905381 3 6 5 7 0132 0321 0132 3012 0 1 1 1 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.657383381275 1.194536074537 5 8 3 4 0132 0132 0132 2103 1 1 0 1 0 0 0 0 0 0 0 0 2 -2 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 0 0 0 0 1 -1 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654774865129 0.811189703635 7 5 8 6 0132 0132 3201 3201 0 1 0 1 0 0 1 -1 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 -7 0 7 0 0 0 0 0 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602987657807 0.495846653506 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0011_0'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_0'], '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_3']), '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' : 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_1100_9' : negation(d['c_1001_0']), 'c_1100_8' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0110_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_1001_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_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_4'], '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' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_3']})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_0110_4, c_1001_0, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 113/2*c_1001_4^10 + 246*c_1001_4^9 + 426*c_1001_4^8 + 171/2*c_1001_4^7 - 1911/2*c_1001_4^6 - 3765/2*c_1001_4^5 - 1414*c_1001_4^4 + 283*c_1001_4^3 + 3197/2*c_1001_4^2 + 2771/2*c_1001_4 + 505, c_0011_0 - 1, c_0011_10 + 3/2*c_1001_4^10 + 9/2*c_1001_4^9 + 7/2*c_1001_4^8 - 7*c_1001_4^7 - 37/2*c_1001_4^6 - 16*c_1001_4^5 + 3*c_1001_4^4 + 17*c_1001_4^3 + 25/2*c_1001_4^2 + 2*c_1001_4 - 1, c_0011_3 + 3/2*c_1001_4^10 + 5*c_1001_4^9 + 5*c_1001_4^8 - 13/2*c_1001_4^7 - 45/2*c_1001_4^6 - 45/2*c_1001_4^5 + c_1001_4^4 + 23*c_1001_4^3 + 39/2*c_1001_4^2 + 7/2*c_1001_4 - 3, c_0101_0 - 1/2*c_1001_4^10 - 3/2*c_1001_4^9 - 3/2*c_1001_4^8 + 2*c_1001_4^7 + 13/2*c_1001_4^6 + 7*c_1001_4^5 - 6*c_1001_4^3 - 13/2*c_1001_4^2 - c_1001_4, c_0101_1 - 1, c_0101_10 - 3/2*c_1001_4^10 - 4*c_1001_4^9 - 3*c_1001_4^8 + 13/2*c_1001_4^7 + 33/2*c_1001_4^6 + 29/2*c_1001_4^5 - 3*c_1001_4^4 - 15*c_1001_4^3 - 23/2*c_1001_4^2 - 3/2*c_1001_4 + 1, c_0101_4 - 1/2*c_1001_4^10 - 3/2*c_1001_4^9 - 3/2*c_1001_4^8 + 2*c_1001_4^7 + 13/2*c_1001_4^6 + 7*c_1001_4^5 - 6*c_1001_4^3 - 11/2*c_1001_4^2 - c_1001_4, c_0101_7 - 1/2*c_1001_4^10 - 3/2*c_1001_4^9 - 3/2*c_1001_4^8 + 2*c_1001_4^7 + 13/2*c_1001_4^6 + 7*c_1001_4^5 - 6*c_1001_4^3 - 11/2*c_1001_4^2 - c_1001_4, c_0110_4 - c_1001_4, c_1001_0 - 1/2*c_1001_4^10 - 3/2*c_1001_4^9 - 3/2*c_1001_4^8 + 2*c_1001_4^7 + 13/2*c_1001_4^6 + 7*c_1001_4^5 - 6*c_1001_4^3 - 13/2*c_1001_4^2 - 2*c_1001_4, c_1001_10 - 1/2*c_1001_4^10 + 2*c_1001_4^8 + 7/2*c_1001_4^7 - 3/2*c_1001_4^6 - 15/2*c_1001_4^5 - 8*c_1001_4^4 + 3*c_1001_4^3 + 15/2*c_1001_4^2 + 9/2*c_1001_4 - 2, c_1001_4^11 + 4*c_1001_4^10 + 6*c_1001_4^9 - c_1001_4^8 - 17*c_1001_4^7 - 27*c_1001_4^6 - 14*c_1001_4^5 + 12*c_1001_4^4 + 25*c_1001_4^3 + 15*c_1001_4^2 + 2*c_1001_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB