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Loading file "K13n413__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n413 geometric_solution 11.23080252 oriented_manifold CS_known 0.0000000000000004 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 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 1 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970506999838 0.987199567351 0 5 7 6 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 0 1 -1 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.911834262323 1.293632151705 8 0 5 8 0132 0132 3201 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 1 0 -1 -9 0 10 -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 0.106512608948 0.756131219442 7 9 4 0 0132 0132 2103 0132 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604146027624 0.533301380775 3 10 0 11 2103 0132 0132 0132 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 -1 1 9 0 -10 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 0.951907714982 0.895093877995 2 1 11 6 2310 0132 1302 0213 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 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460766430676 0.570466743342 9 11 1 5 3120 1302 0132 0213 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 1 0 0 0 10 -10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467219399924 0.384994162070 3 8 9 1 0132 0213 3120 0132 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 1 0 -1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458756528052 0.522093574207 2 2 7 9 0132 2310 0213 3120 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 9 0 0 -9 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759329281663 0.750223274091 8 3 7 6 3120 0132 3120 3120 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 9 0 -9 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 0.274789855995 0.668799211032 10 4 10 11 2310 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646109117775 0.860578850320 5 10 4 6 2031 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.442455448736 0.524267958638 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0110_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_11'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_0110_11, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 92573931/157235*c_1001_0^10 + 1532353/2665*c_1001_0^9 - 141638489/157235*c_1001_0^8 + 223898432/157235*c_1001_0^7 - 198032/2665*c_1001_0^6 - 489178246/157235*c_1001_0^5 - 1088232571/157235*c_1001_0^4 - 1388610806/157235*c_1001_0^3 - 801004307/157235*c_1001_0^2 - 8196597/3835*c_1001_0 - 54083726/157235, c_0011_0 - 1, c_0011_10 + 21/13*c_1001_0^10 - 30/13*c_1001_0^9 + 44/13*c_1001_0^8 - 67/13*c_1001_0^7 + 29/13*c_1001_0^6 + 102/13*c_1001_0^5 + 199/13*c_1001_0^4 + 215/13*c_1001_0^3 + 83/13*c_1001_0^2 + 43/13*c_1001_0 - 10/13, c_0011_11 - 30/13*c_1001_0^10 + 32/13*c_1001_0^9 - 48/13*c_1001_0^8 + 75/13*c_1001_0^7 - 11/13*c_1001_0^6 - 155/13*c_1001_0^5 - 341/13*c_1001_0^4 - 418/13*c_1001_0^3 - 216/13*c_1001_0^2 - 116/13*c_1001_0 - 11/13, c_0011_3 + 21/13*c_1001_0^10 - 30/13*c_1001_0^9 + 44/13*c_1001_0^8 - 67/13*c_1001_0^7 + 29/13*c_1001_0^6 + 102/13*c_1001_0^5 + 199/13*c_1001_0^4 + 215/13*c_1001_0^3 + 83/13*c_1001_0^2 + 43/13*c_1001_0 + 3/13, c_0101_0 - 16/13*c_1001_0^10 + 25/13*c_1001_0^9 - 36/13*c_1001_0^8 + 4*c_1001_0^7 - 22/13*c_1001_0^6 - 87/13*c_1001_0^5 - 126/13*c_1001_0^4 - 149/13*c_1001_0^3 - 48/13*c_1001_0^2 - 31/13*c_1001_0 - 9/13, c_0101_1 - c_1001_0^10 + 15/13*c_1001_0^9 - 2*c_1001_0^8 + 37/13*c_1001_0^7 - 8/13*c_1001_0^6 - 5*c_1001_0^5 - 137/13*c_1001_0^4 - 191/13*c_1001_0^3 - 136/13*c_1001_0^2 - 70/13*c_1001_0 - 21/13, c_0101_10 - 21/13*c_1001_0^10 + 30/13*c_1001_0^9 - 44/13*c_1001_0^8 + 67/13*c_1001_0^7 - 29/13*c_1001_0^6 - 102/13*c_1001_0^5 - 199/13*c_1001_0^4 - 215/13*c_1001_0^3 - 70/13*c_1001_0^2 - 56/13*c_1001_0 + 10/13, c_0101_11 + 21/13*c_1001_0^10 - 34/13*c_1001_0^9 + 57/13*c_1001_0^8 - 89/13*c_1001_0^7 + 58/13*c_1001_0^6 + 76/13*c_1001_0^5 + 187/13*c_1001_0^4 + 220/13*c_1001_0^3 + 82/13*c_1001_0^2 + 53/13*c_1001_0 - 7/13, c_0101_2 - 4/13*c_1001_0^10 - 10/13*c_1001_0^9 + 17/13*c_1001_0^8 - 2*c_1001_0^7 + 53/13*c_1001_0^6 - 51/13*c_1001_0^5 - 116/13*c_1001_0^4 - 164/13*c_1001_0^3 - 168/13*c_1001_0^2 - 50/13*c_1001_0 - 25/13, c_0101_9 - 5/13*c_1001_0^10 + 5/13*c_1001_0^9 - 8/13*c_1001_0^8 + 15/13*c_1001_0^7 - 7/13*c_1001_0^6 - 15/13*c_1001_0^5 - 73/13*c_1001_0^4 - 66/13*c_1001_0^3 - 35/13*c_1001_0^2 - 12/13*c_1001_0 + 6/13, c_0110_11 - c_1001_0^10 + 15/13*c_1001_0^9 - 2*c_1001_0^8 + 37/13*c_1001_0^7 - 8/13*c_1001_0^6 - 5*c_1001_0^5 - 137/13*c_1001_0^4 - 191/13*c_1001_0^3 - 136/13*c_1001_0^2 - 70/13*c_1001_0 - 21/13, c_1001_0^11 - c_1001_0^10 + 2*c_1001_0^9 - 3*c_1001_0^8 + c_1001_0^7 + 4*c_1001_0^6 + 12*c_1001_0^5 + 17*c_1001_0^4 + 13*c_1001_0^3 + 9*c_1001_0^2 + 3*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.460 Total time: 3.669 seconds, Total memory usage: 64.12MB