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Loading file "K11n169__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n169 geometric_solution 10.81729253 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 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 10 0 0 -10 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036432590251 0.792642170766 0 0 5 4 0132 1302 0132 0132 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 0 0 0 0 0 10 -10 0 -10 0 11 -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 0.391219769496 0.465582506730 6 0 6 7 0132 0132 3012 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 1 0 -11 0 11 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 0.891780036006 1.030830403948 4 8 9 0 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743119985346 1.002418822161 3 10 1 6 0132 0132 0132 1302 0 0 0 0 0 1 0 -1 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 -11 0 11 0 0 1 -1 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.732969863406 1.094367545203 10 11 9 1 3012 0132 3120 0132 0 0 0 0 0 0 1 -1 -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 -10 10 11 0 0 -11 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168453685525 1.234978671871 2 2 4 11 0132 1230 2031 1023 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 0 0 0 0 0 -11 11 0 11 0 -11 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.100733183455 0.959516380896 9 8 2 8 0321 0213 0132 3120 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 10 0 0 -10 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607835760908 0.559344131998 7 3 7 10 3120 0132 0213 2310 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 10 0 -10 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050837023960 0.500577486577 7 11 5 3 0321 2031 3120 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 -1 0 1 0 0 0 0 10 -10 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.100733183455 0.959516380896 8 4 11 5 3201 0132 0321 1230 0 0 0 0 0 -1 0 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 0 0 0 0 11 0 -11 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665249361335 0.818905254228 9 5 10 6 1302 0132 0321 1023 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 1 0 0 -1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024365659935 1.627967774692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0011_9'], '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_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_7']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_0101_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_7']), '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_6']), 'c_0101_8' : d['c_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_2']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2655241678/776024821*c_1001_10^7 - 14569846432/776024821*c_1001_10^6 + 28241300953/776024821*c_1001_10^5 + 32480698856/776024821*c_1001_10^4 - 44556175327/776024821*c_1001_10^3 - 1892888188/59694217*c_1001_10^2 + 1420627243/59694217*c_1001_10 + 42502476936/776024821, c_0011_0 - 1, c_0011_10 + 4285/68693*c_1001_10^7 - 28468/68693*c_1001_10^6 + 83395/68693*c_1001_10^5 - 62303/68693*c_1001_10^4 + 18771/68693*c_1001_10^3 + 39624/68693*c_1001_10^2 + 64091/68693*c_1001_10 - 57293/68693, c_0011_11 - 1009/68693*c_1001_10^7 + 11128/68693*c_1001_10^6 - 42241/68693*c_1001_10^5 + 56688/68693*c_1001_10^4 + 52939/68693*c_1001_10^3 - 37032/68693*c_1001_10^2 - 40052/68693*c_1001_10 + 29538/68693, c_0011_7 + 12104/68693*c_1001_10^7 - 73377/68693*c_1001_10^6 + 177216/68693*c_1001_10^5 + 4584/68693*c_1001_10^4 - 92186/68693*c_1001_10^3 - 123280/68693*c_1001_10^2 + 180912/68693*c_1001_10 + 73001/68693, c_0011_9 + 7832/68693*c_1001_10^7 - 51520/68693*c_1001_10^6 + 134873/68693*c_1001_10^5 - 29360/68693*c_1001_10^4 - 124302/68693*c_1001_10^3 - 35321/68693*c_1001_10^2 + 197876/68693*c_1001_10 + 63399/68693, c_0101_0 + 10342/68693*c_1001_10^7 - 54489/68693*c_1001_10^6 + 103247/68693*c_1001_10^5 + 114334/68693*c_1001_10^4 - 53591/68693*c_1001_10^3 - 136752/68693*c_1001_10^2 - 20357/68693*c_1001_10 + 114643/68693, c_0101_1 - 7832/68693*c_1001_10^7 + 51520/68693*c_1001_10^6 - 134873/68693*c_1001_10^5 + 29360/68693*c_1001_10^4 + 124302/68693*c_1001_10^3 + 35321/68693*c_1001_10^2 - 129183/68693*c_1001_10 - 63399/68693, c_0101_2 - 1009/68693*c_1001_10^7 + 11128/68693*c_1001_10^6 - 42241/68693*c_1001_10^5 + 56688/68693*c_1001_10^4 + 52939/68693*c_1001_10^3 - 37032/68693*c_1001_10^2 - 40052/68693*c_1001_10 + 29538/68693, c_0101_5 + 740/68693*c_1001_10^7 - 1149/68693*c_1001_10^6 - 9324/68693*c_1001_10^5 + 43185/68693*c_1001_10^4 + 27689/68693*c_1001_10^3 - 82450/68693*c_1001_10^2 - 57224/68693*c_1001_10 + 54791/68693, c_0101_6 + 9602/68693*c_1001_10^7 - 53340/68693*c_1001_10^6 + 112571/68693*c_1001_10^5 + 71149/68693*c_1001_10^4 - 81280/68693*c_1001_10^3 - 54302/68693*c_1001_10^2 + 105560/68693*c_1001_10 + 59852/68693, c_1001_0 - 18138/68693*c_1001_10^7 + 114122/68693*c_1001_10^6 - 293528/68693*c_1001_10^5 + 71222/68693*c_1001_10^4 + 98665/68693*c_1001_10^3 + 129074/68693*c_1001_10^2 - 159138/68693*c_1001_10 - 40961/68693, c_1001_10^8 - 6*c_1001_10^7 + 14*c_1001_10^6 + 3*c_1001_10^5 - 12*c_1001_10^4 - 9*c_1001_10^3 + 13*c_1001_10^2 + 8*c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.900 Total time: 3.120 seconds, Total memory usage: 64.12MB