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Loading file "K13n4606__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4606 geometric_solution 11.30889051 oriented_manifold CS_known 0.0000000000000000 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 -8 0 0 8 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125633551600 0.532556695453 0 5 3 6 0132 0132 2103 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 -1 1 0 8 0 -9 1 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767811197087 1.417421724131 7 0 8 6 0132 0132 0132 2103 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 -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 0.808558450970 1.775881892667 1 9 10 0 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 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 0.924494366756 0.933338296640 10 11 0 9 0132 0132 0132 2103 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 -8 8 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737181970861 1.179784147984 7 1 8 11 1023 0132 2103 2103 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 0 -1 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142505007182 0.713178941733 7 9 1 2 2103 3201 0132 2103 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 1 0 -1 0 -1 0 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646115578292 0.643150575301 2 5 6 11 0132 1023 2103 3120 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 -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 0.172942438375 0.779935698434 5 9 10 2 2103 2031 0321 0132 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420076120468 0.789289527959 8 3 6 4 1302 0132 2310 2103 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 0 0.890672056505 0.760885891281 4 11 8 3 0132 3201 0321 0132 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 -9 9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737181970861 1.179784147984 7 4 10 5 3120 0132 2310 2103 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 -1 0 0 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 0.216093750867 0.579943926223 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0110_9']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_1001_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' : negation(d['c_0011_6']), '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' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0110_9']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0110_9']), 'c_1100_3' : negation(d['c_0110_9']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0110_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_2'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], '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' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0110_9, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 28709878070936/115596055603*c_1001_11^7 + 114858280492898/115596055603*c_1001_11^6 + 257837762100242/115596055603*c_1001_11^5 + 6228883957722/5025915461*c_1001_11^4 + 36101126698412/5025915461*c_1001_11^3 - 153855802349549/231192111206*c_1001_11^2 + 1512523964659013/231192111206*c_1001_11 + 53644335569277/231192111206, c_0011_0 - 1, c_0011_10 + 3010380/9835451*c_1001_11^7 + 11827048/9835451*c_1001_11^6 + 26237142/9835451*c_1001_11^5 + 13442672/9835451*c_1001_11^4 + 87064224/9835451*c_1001_11^3 - 13419014/9835451*c_1001_11^2 + 85267385/9835451*c_1001_11 - 115469/9835451, c_0011_3 + 1255744/9835451*c_1001_11^7 + 5781044/9835451*c_1001_11^6 + 14494470/9835451*c_1001_11^5 + 12604284/9835451*c_1001_11^4 + 37013983/9835451*c_1001_11^3 + 10732421/9835451*c_1001_11^2 + 35033955/9835451*c_1001_11 + 7780962/9835451, c_0011_6 - 2171440/9835451*c_1001_11^7 - 8758976/9835451*c_1001_11^6 - 20457488/9835451*c_1001_11^5 - 14879358/9835451*c_1001_11^4 - 70406164/9835451*c_1001_11^3 - 474565/9835451*c_1001_11^2 - 66338655/9835451*c_1001_11 - 4628244/9835451, c_0011_8 - 1611472/9835451*c_1001_11^7 - 6579072/9835451*c_1001_11^6 - 13690768/9835451*c_1001_11^5 - 3595422/9835451*c_1001_11^4 - 34704746/9835451*c_1001_11^3 + 1260303/9835451*c_1001_11^2 - 16705098/9835451*c_1001_11 + 6439/9835451, c_0101_0 + 1773584/9835451*c_1001_11^7 + 6403044/9835451*c_1001_11^6 + 12399930/9835451*c_1001_11^5 + 211878/9835451*c_1001_11^4 + 44922917/9835451*c_1001_11^3 - 15566594/9835451*c_1001_11^2 + 35581267/9835451*c_1001_11 - 142338/9835451, c_0101_1 - 3687208/9835451*c_1001_11^7 - 15071148/9835451*c_1001_11^6 - 33307634/9835451*c_1001_11^5 - 15389530/9835451*c_1001_11^4 - 93504113/9835451*c_1001_11^3 + 13006302/9835451*c_1001_11^2 - 75484495/9835451*c_1001_11 + 4723283/9835451, c_0101_11 - 1754636/9835451*c_1001_11^7 - 6046004/9835451*c_1001_11^6 - 11742672/9835451*c_1001_11^5 - 838388/9835451*c_1001_11^4 - 50050241/9835451*c_1001_11^3 + 24151435/9835451*c_1001_11^2 - 50233430/9835451*c_1001_11 + 7896431/9835451, c_0101_2 - 3010380/9835451*c_1001_11^7 - 11827048/9835451*c_1001_11^6 - 26237142/9835451*c_1001_11^5 - 13442672/9835451*c_1001_11^4 - 87064224/9835451*c_1001_11^3 + 13419014/9835451*c_1001_11^2 - 75431934/9835451*c_1001_11 + 115469/9835451, c_0110_9 + 991488/9835451*c_1001_11^7 + 4406092/9835451*c_1001_11^6 + 8592050/9835451*c_1001_11^5 - 230966/9835451*c_1001_11^4 + 12882885/9835451*c_1001_11^3 + 4410606/9835451*c_1001_11^2 - 7633050/9835451*c_1001_11 + 8192752/9835451, c_1001_0 - 3535028/9835451*c_1001_11^7 - 13806504/9835451*c_1001_11^6 - 30296220/9835451*c_1001_11^5 - 15496324/9835451*c_1001_11^4 - 104436389/9835451*c_1001_11^3 + 13688270/9835451*c_1001_11^2 - 90047201/9835451*c_1001_11 - 899358/9835451, c_1001_11^8 + 4*c_1001_11^7 + 9*c_1001_11^6 + 5*c_1001_11^5 + 115/4*c_1001_11^4 - 7/2*c_1001_11^3 + 105/4*c_1001_11^2 - 1/2*c_1001_11 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.960 Total time: 1.169 seconds, Total memory usage: 64.12MB