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Loading file "K14n14302__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14302 geometric_solution 11.13403734 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 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 -1 0 1 -1 0 1 0 0 0 0 0 -1 13 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442121105042 0.538560613045 0 4 4 5 0132 1302 3201 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 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 1.491307277112 0.650069947548 3 0 7 6 0321 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 12 -12 0 -13 0 13 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959274813980 0.761602068042 2 8 5 0 0321 0132 3012 0132 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 1 0 0 -1 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649176426019 1.134953340728 1 9 0 1 2310 0132 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 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 0.322826029677 0.603087411856 9 3 1 10 2310 1230 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 0 0 12 0 1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248600129203 0.804249110008 9 8 2 10 0321 0213 0132 2103 0 0 0 0 0 0 0 0 -1 0 1 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 -12 0 12 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304540915941 0.789978875482 10 11 11 2 1302 0132 2103 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 12 0 0 -12 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657924640047 0.738806246023 10 3 6 11 0213 0132 0213 0213 0 0 0 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 13 0 0 -13 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953378299368 0.823948319970 6 4 5 11 0321 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -13 0 0 13 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070011085619 1.309277938383 8 7 5 6 0213 2031 0132 2103 0 0 0 0 0 0 0 0 -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 0 0 -13 0 13 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399568156645 0.518917631037 7 7 9 8 2103 0132 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 0 0 0 0 0 -13 13 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327756232349 0.754885687751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(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' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_3']), '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' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_11' : negation(d['c_0011_5']), 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_5']), '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_4']), 'c_0011_8' : negation(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_11']), '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_10'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_1'], '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_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0110_10']), '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_0011_3']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], '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_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0110_10, c_1001_0, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 279/125*c_1001_0*c_1001_5^7 - 61/125*c_1001_0*c_1001_5^6 - 1091/125*c_1001_0*c_1001_5^5 + 568/125*c_1001_0*c_1001_5^4 + 1861/125*c_1001_0*c_1001_5^3 - 41/5*c_1001_0*c_1001_5^2 - 61/5*c_1001_0*c_1001_5 + 1118/125*c_1001_0 + 564/125*c_1001_5^7 - 96/125*c_1001_5^6 - 2216/125*c_1001_5^5 + 998/125*c_1001_5^4 + 4056/125*c_1001_5^3 - 454/25*c_1001_5^2 - 608/25*c_1001_5 + 2258/125, c_0011_0 - 1, c_0011_10 - c_1001_5^7 - c_1001_5^6 + 3*c_1001_5^5 + 3*c_1001_5^4 - 5*c_1001_5^3 - 5*c_1001_5^2 + 3*c_1001_5 + 3, c_0011_11 - c_1001_0*c_1001_5^6 - c_1001_0*c_1001_5^5 + 3*c_1001_0*c_1001_5^4 + 2*c_1001_0*c_1001_5^3 - 6*c_1001_0*c_1001_5^2 - 3*c_1001_0*c_1001_5 + 4*c_1001_0 + c_1001_5^6 + c_1001_5^5 - 3*c_1001_5^4 - 2*c_1001_5^3 + 5*c_1001_5^2 + 2*c_1001_5 - 3, c_0011_3 + c_1001_0*c_1001_5^6 + c_1001_0*c_1001_5^5 - 3*c_1001_0*c_1001_5^4 - 2*c_1001_0*c_1001_5^3 + 6*c_1001_0*c_1001_5^2 + 3*c_1001_0*c_1001_5 - 4*c_1001_0 + c_1001_5^6 + c_1001_5^5 - 3*c_1001_5^4 - 2*c_1001_5^3 + 5*c_1001_5^2 + 2*c_1001_5 - 3, c_0011_4 - c_1001_0, c_0011_5 - c_1001_0 - c_1001_5^7 - c_1001_5^6 + 3*c_1001_5^5 + 2*c_1001_5^4 - 6*c_1001_5^3 - 3*c_1001_5^2 + 4*c_1001_5 + 1, c_0101_1 + c_1001_0*c_1001_5^7 - 4*c_1001_0*c_1001_5^5 + c_1001_0*c_1001_5^4 + 8*c_1001_0*c_1001_5^3 - 3*c_1001_0*c_1001_5^2 - 7*c_1001_0*c_1001_5 + 4*c_1001_0, c_0101_2 + c_1001_0 + c_1001_5^7 + c_1001_5^6 - 3*c_1001_5^5 - 2*c_1001_5^4 + 6*c_1001_5^3 + 3*c_1001_5^2 - 4*c_1001_5 - 1, c_0110_10 - c_1001_5^7 - c_1001_5^6 + 3*c_1001_5^5 + 3*c_1001_5^4 - 5*c_1001_5^3 - 5*c_1001_5^2 + 3*c_1001_5 + 3, c_1001_0^2 + c_1001_5^3 + c_1001_5^2 - c_1001_5 - 1, c_1001_11 + c_1001_5^2 + c_1001_5 - 1, c_1001_5^8 + c_1001_5^7 - 4*c_1001_5^6 - 3*c_1001_5^5 + 9*c_1001_5^4 + 5*c_1001_5^3 - 10*c_1001_5^2 - 3*c_1001_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.630 Total time: 0.840 seconds, Total memory usage: 32.09MB