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Loading file "K10a70__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a70 geometric_solution 8.39093761 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 1 0132 0132 0132 2031 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 1 -1 0 0 -1 1 0 1 0 -1 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155307401123 0.607352426581 0 0 4 2 0132 1302 0132 1302 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 -1 8 -7 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604813117445 1.545436407650 3 0 1 5 0321 0132 2031 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 -7 0 7 0 0 -7 0 7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.175640876820 0.984607130776 2 6 5 0 0321 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 0 1 0 -8 0 8 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185660220289 1.907284290199 7 7 5 1 0132 1230 2103 0132 0 0 0 0 0 0 -1 1 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 8 -8 0 0 0 0 -1 0 0 1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266377678819 0.819351176361 4 6 2 3 2103 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 -8 8 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085983883267 0.861618635279 8 3 5 7 0132 0132 0213 3201 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -8 8 0 7 0 -7 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606530993308 0.677408345573 4 6 4 8 0132 2310 3012 0321 0 0 0 0 0 -1 1 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 7 -7 0 0 0 0 0 0 -8 0 8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641142340255 1.103810375409 6 7 8 8 0132 0321 2031 1302 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897492945267 0.990901624808 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_8' : negation(d['c_0011_5']), 's_2_8' : d['1'], '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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_0101_8'], 'c_1100_5' : negation(d['c_1010_1']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_8']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_8']})} 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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0101_8, c_1001_0, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 561253/3471*c_1010_1^17 - 6980795/3471*c_1010_1^16 + 45983770/3471*c_1010_1^15 - 204877262/3471*c_1010_1^14 + 680859700/3471*c_1010_1^13 - 45431087/89*c_1010_1^12 + 3710316770/3471*c_1010_1^11 - 6348922789/3471*c_1010_1^10 + 8945813144/3471*c_1010_1^9 - 800469329/267*c_1010_1^8 + 9979774000/3471*c_1010_1^7 - 7862740408/3471*c_1010_1^6 + 1687891723/1157*c_1010_1^5 - 882840379/1157*c_1010_1^4 + 1110047104/3471*c_1010_1^3 - 356854154/3471*c_1010_1^2 + 81398345/3471*c_1010_1 - 10782425/3471, c_0011_0 - 1, c_0011_3 - c_1010_1^2 + c_1010_1 - 1, c_0011_4 + c_1010_1^3 - 2*c_1010_1^2 + 3*c_1010_1 - 1, c_0011_5 + c_1010_1^4 - 3*c_1010_1^3 + 6*c_1010_1^2 - 5*c_1010_1 + 2, c_0101_1 - c_1010_1^17 + 12*c_1010_1^16 - 76*c_1010_1^15 + 325*c_1010_1^14 - 1035*c_1010_1^13 + 2577*c_1010_1^12 - 5154*c_1010_1^11 + 8405*c_1010_1^10 - 11256*c_1010_1^9 + 12401*c_1010_1^8 - 11212*c_1010_1^7 + 8277*c_1010_1^6 - 4955*c_1010_1^5 + 2385*c_1010_1^4 - 908*c_1010_1^3 + 259*c_1010_1^2 - 50*c_1010_1 + 5, c_0101_2 - c_1010_1^16 + 11*c_1010_1^15 - 64*c_1010_1^14 + 251*c_1010_1^13 - 731*c_1010_1^12 + 1659*c_1010_1^11 - 3014*c_1010_1^10 + 4453*c_1010_1^9 - 5396*c_1010_1^8 + 5387*c_1010_1^7 - 4434*c_1010_1^6 + 3001*c_1010_1^5 - 1655*c_1010_1^4 + 727*c_1010_1^3 - 246*c_1010_1^2 + 59*c_1010_1 - 8, c_0101_8 + c_1010_1^11 - 8*c_1010_1^10 + 35*c_1010_1^9 - 101*c_1010_1^8 + 210*c_1010_1^7 - 324*c_1010_1^6 + 374*c_1010_1^5 - 321*c_1010_1^4 + 200*c_1010_1^3 - 90*c_1010_1^2 + 28*c_1010_1 - 5, c_1001_0 + c_1010_1^17 - 12*c_1010_1^16 + 76*c_1010_1^15 - 325*c_1010_1^14 + 1035*c_1010_1^13 - 2577*c_1010_1^12 + 5154*c_1010_1^11 - 8405*c_1010_1^10 + 11256*c_1010_1^9 - 12401*c_1010_1^8 + 11212*c_1010_1^7 - 8277*c_1010_1^6 + 4955*c_1010_1^5 - 2385*c_1010_1^4 + 908*c_1010_1^3 - 259*c_1010_1^2 + 50*c_1010_1 - 5, c_1010_1^18 - 13*c_1010_1^17 + 89*c_1010_1^16 - 412*c_1010_1^15 + 1424*c_1010_1^14 - 3863*c_1010_1^13 + 8462*c_1010_1^12 - 15218*c_1010_1^11 + 22675*c_1010_1^10 - 28110*c_1010_1^9 + 29009*c_1010_1^8 - 24876*c_1010_1^7 + 17666*c_1010_1^6 - 10341*c_1010_1^5 + 4948*c_1010_1^4 - 1894*c_1010_1^3 + 555*c_1010_1^2 - 114*c_1010_1 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB