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Loading file "K12n321__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n321 geometric_solution 9.80668430 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 -3 0 3 0 4 -4 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123642413535 0.639897737276 0 5 4 6 0132 0132 3012 0132 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 0 -3 3 3 0 -3 0 4 0 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665956578840 0.690077100666 5 0 8 7 2310 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 1 -3 0 0 3 0 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285685365382 1.338107824768 5 9 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -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 3 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753114363130 0.891951357950 6 1 0 7 0132 1230 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 3 1 -4 4 0 0 -4 4 -4 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.365786653884 1.688422907194 3 1 2 9 0132 0132 3201 2310 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 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531463127912 0.545841884071 4 8 1 7 0132 2031 0132 0213 0 0 0 0 0 -1 1 0 1 0 0 -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 4 -3 -1 -4 0 0 4 3 0 0 -3 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275901631095 0.750324749222 4 10 2 6 3201 3201 0132 0213 0 0 0 0 0 0 0 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 0 -1 1 0 0 -3 3 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123642413535 0.639897737276 6 10 9 2 1302 0132 0132 0132 0 0 0 0 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531463127912 0.545841884071 5 3 10 8 3201 0132 3201 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 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.662144643740 0.464555067387 9 8 7 3 2310 0132 2310 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 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753114363130 0.891951357950 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_7'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 15997927873/81596970*c_1001_3^8 + 19551916529/81596970*c_1001_3^7 + 761198849/1990170*c_1001_3^6 - 55713393569/81596970*c_1001_3^5 - 1134495496/8159697*c_1001_3^4 + 59580630682/40798485*c_1001_3^3 - 24545672959/13599495*c_1001_3^2 + 19266128447/9066330*c_1001_3 - 185080835843/81596970, c_0011_0 - 1, c_0011_10 - 1, c_0011_4 - 76/287*c_1001_3^8 + 55/287*c_1001_3^7 + 4/7*c_1001_3^6 - 216/287*c_1001_3^5 - 30/41*c_1001_3^4 + 600/287*c_1001_3^3 - 303/287*c_1001_3^2 + 424/287*c_1001_3 - 571/287, c_0011_7 + 33/287*c_1001_3^8 - 87/287*c_1001_3^7 - 1/7*c_1001_3^6 + 165/287*c_1001_3^5 - 48/287*c_1001_3^4 - 226/287*c_1001_3^3 + 568/287*c_1001_3^2 - 743/287*c_1001_3 + 324/287, c_0101_0 + 57/287*c_1001_3^8 - 31/287*c_1001_3^7 - 3/7*c_1001_3^6 + 121/287*c_1001_3^5 + 55/287*c_1001_3^4 - 409/287*c_1001_3^3 + 463/287*c_1001_3^2 - 318/287*c_1001_3 + 254/287, c_0101_1 + 2/287*c_1001_3^8 - 9/287*c_1001_3^7 + 1/7*c_1001_3^6 + 51/287*c_1001_3^5 - 10/41*c_1001_3^4 - 46/287*c_1001_3^3 + 227/287*c_1001_3^2 - 419/287*c_1001_3 + 83/287, c_0101_10 - 3/41*c_1001_3^8 - 8/287*c_1001_3^7 + 18/287*c_1001_3^5 + 38/287*c_1001_3^4 + 73/287*c_1001_3^3 - 149/287*c_1001_3^2 + 34/41*c_1001_3 - 277/287, c_0101_2 + 45/287*c_1001_3^8 - 100/287*c_1001_3^7 - 2/7*c_1001_3^6 + 307/287*c_1001_3^5 - 17/287*c_1001_3^4 - 625/287*c_1001_3^3 + 577/287*c_1001_3^2 - 387/287*c_1001_3 + 699/287, c_0101_3 + c_1001_3, c_1001_10 + 57/287*c_1001_3^8 - 31/287*c_1001_3^7 - 3/7*c_1001_3^6 + 121/287*c_1001_3^5 + 55/287*c_1001_3^4 - 409/287*c_1001_3^3 + 463/287*c_1001_3^2 - 318/287*c_1001_3 + 254/287, c_1001_3^9 - 2*c_1001_3^8 - c_1001_3^7 + 5*c_1001_3^6 - 2*c_1001_3^5 - 8*c_1001_3^4 + 15*c_1001_3^3 - 18*c_1001_3^2 + 20*c_1001_3 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.420 seconds, Total memory usage: 32.09MB