Magma V2.19-8 Tue Aug 20 2013 23:39:20 on localhost [Seed = 2547119048] Type ? for help. Type -D to quit. Loading file "K13n2922__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2922 geometric_solution 9.76869104 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 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 -1 0 1 0 0 0 0 -1 -8 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551575092808 0.902042746815 0 4 6 5 0132 0132 0132 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 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593480979596 0.403569422722 0 0 7 5 3012 0132 0132 0321 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 -1 0 0 1 0 0 0 0 -9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441899808229 0.888916985739 5 8 8 0 0132 0132 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 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 0.352479301554 0.603440536588 9 1 10 7 0132 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 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 1.042793382920 0.516305465350 3 2 1 9 0132 0321 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.473155608164 0.884943724165 9 7 10 1 1230 2031 0321 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 -1 1 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 0.555302720421 1.657718475931 6 4 10 2 1302 1302 0213 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 -1 1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013888379871 1.113988242734 3 3 9 10 2310 0132 1230 1230 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 -0.046031229725 1.064806819590 4 6 5 8 0132 3012 2031 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526371910261 0.459435410371 8 7 6 4 3012 0213 0321 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 1 -1 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 0.849569587417 0.478874395808 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_1001_4'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1001_4'], 'c_1100_10' : negation(d['c_0101_2']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_10' : d['c_0101_4'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0101_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_0101_9, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 58344752628788684/138881558263003409*c_1001_4^12 - 479789887860164846/138881558263003409*c_1001_4^11 + 680714164720571441/138881558263003409*c_1001_4^10 - 2050375545200458799/138881558263003409*c_1001_4^9 - 31280597567861451/6038328620130583*c_1001_4^8 - 18623125067596901547/138881558263003409*c_1001_4^7 - 8669106352163572017/138881558263003409*c_1001_4^6 - 4840811163425774681/19840222609000487*c_1001_4^5 - 2706926095636731438/138881558263003409*c_1001_4^4 - 8460079686760329993/19840222609000487*c_1001_4^3 + 8225472220991034309/138881558263003409*c_1001_4^2 - 24991792409451774014/138881558263003409*c_1001_4 + 2381986178510198690/138881558263003409, c_0011_0 - 1, c_0011_10 + 50848602321/215170460041*c_1001_4^12 - 54726722918/215170460041*c_1001_4^11 + 154297226337/215170460041*c_1001_4^10 - 9950070895/215170460041*c_1001_4^9 + 1572173267072/215170460041*c_1001_4^8 + 1246000145795/215170460041*c_1001_4^7 + 3353994039975/215170460041*c_1001_4^6 + 1121951813277/215170460041*c_1001_4^5 + 5328515538848/215170460041*c_1001_4^4 + 1530617788530/215170460041*c_1001_4^3 + 2060697434090/215170460041*c_1001_4^2 + 581955231087/215170460041*c_1001_4 + 96257347259/215170460041, c_0011_3 - 30964667401/215170460041*c_1001_4^12 + 23805286868/215170460041*c_1001_4^11 - 96210862485/215170460041*c_1001_4^10 - 7907063264/215170460041*c_1001_4^9 - 986811213460/215170460041*c_1001_4^8 - 1055082162502/215170460041*c_1001_4^7 - 2647273715161/215170460041*c_1001_4^6 - 1556603044352/215170460041*c_1001_4^5 - 4034350119404/215170460041*c_1001_4^4 - 1892591001131/215170460041*c_1001_4^3 - 2575515838043/215170460041*c_1001_4^2 - 911648735893/215170460041*c_1001_4 - 310367881494/215170460041, c_0011_7 + 18923388456/215170460041*c_1001_4^12 - 26599443815/215170460041*c_1001_4^11 + 71434843439/215170460041*c_1001_4^10 - 31517441635/215170460041*c_1001_4^9 + 608463903571/215170460041*c_1001_4^8 + 272792395329/215170460041*c_1001_4^7 + 1310899102786/215170460041*c_1001_4^6 + 160784761531/215170460041*c_1001_4^5 + 2291745971206/215170460041*c_1001_4^4 + 44185491073/215170460041*c_1001_4^3 + 1377769475271/215170460041*c_1001_4^2 + 109871079145/215170460041*c_1001_4 + 221125916258/215170460041, c_0101_0 - 70516622839/215170460041*c_1001_4^12 + 75651564163/215170460041*c_1001_4^11 - 213260366468/215170460041*c_1001_4^10 + 9897926902/215170460041*c_1001_4^9 - 2174719436861/215170460041*c_1001_4^8 - 1751667406744/215170460041*c_1001_4^7 - 4616743745693/215170460041*c_1001_4^6 - 1666145927029/215170460041*c_1001_4^5 - 7401732266692/215170460041*c_1001_4^4 - 2338158002842/215170460041*c_1001_4^3 - 2736727207180/215170460041*c_1001_4^2 - 892383821393/215170460041*c_1001_4 - 109981381457/215170460041, c_0101_10 + 24594907197/215170460041*c_1001_4^12 - 21515532405/215170460041*c_1001_4^11 + 58485627404/215170460041*c_1001_4^10 + 25676729945/215170460041*c_1001_4^9 + 731665730962/215170460041*c_1001_4^8 + 760550326056/215170460041*c_1001_4^7 + 1427852156091/215170460041*c_1001_4^6 + 727533729485/215170460041*c_1001_4^5 + 2348446045750/215170460041*c_1001_4^4 + 1474829167073/215170460041*c_1001_4^3 + 550328068268/215170460041*c_1001_4^2 + 636958362927/215170460041*c_1001_4 + 258855383825/215170460041, c_0101_2 - 4139300598/215170460041*c_1001_4^12 - 3524914927/215170460041*c_1001_4^11 + 2064928687/215170460041*c_1001_4^10 - 27309971707/215170460041*c_1001_4^9 - 111488397564/215170460041*c_1001_4^8 - 344783609872/215170460041*c_1001_4^7 - 278334284679/215170460041*c_1001_4^6 - 405059334465/215170460041*c_1001_4^5 - 171913560972/215170460041*c_1001_4^4 - 755524788890/215170460041*c_1001_4^3 + 94371684947/215170460041*c_1001_4^2 - 118611917065/215170460041*c_1001_4 + 86748360150/215170460041, c_0101_4 + 16005814323/215170460041*c_1001_4^12 - 29170016676/215170460041*c_1001_4^11 + 48136292957/215170460041*c_1001_4^10 - 21990539038/215170460041*c_1001_4^9 + 458449936740/215170460041*c_1001_4^8 + 36358463119/215170460041*c_1001_4^7 + 354062670782/215170460041*c_1001_4^6 - 648633345216/215170460041*c_1001_4^5 + 790839115134/215170460041*c_1001_4^4 - 640311485277/215170460041*c_1001_4^3 - 582118952282/215170460041*c_1001_4^2 - 170811504469/215170460041*c_1001_4 + 51908528127/215170460041, c_0101_9 + 59416124107/215170460041*c_1001_4^12 - 55479989022/215170460041*c_1001_4^11 + 170447053685/215170460041*c_1001_4^10 + 18842705668/215170460041*c_1001_4^9 + 1826320529428/215170460041*c_1001_4^8 + 1732327522120/215170460041*c_1001_4^7 + 4093083917637/215170460041*c_1001_4^6 + 1972444250129/215170460041*c_1001_4^5 + 6387342429071/215170460041*c_1001_4^4 + 2775260143171/215170460041*c_1001_4^3 + 2510626198021/215170460041*c_1001_4^2 + 1142661019094/215170460041*c_1001_4 + 123769828589/215170460041, c_1001_0 - 58296903444/215170460041*c_1001_4^12 + 59212958594/215170460041*c_1001_4^11 - 182483974323/215170460041*c_1001_4^10 + 8870713717/215170460041*c_1001_4^9 - 1822379876975/215170460041*c_1001_4^8 - 1553471966868/215170460041*c_1001_4^7 - 4195043038002/215170460041*c_1001_4^6 - 1821526953894/215170460041*c_1001_4^5 - 6697519612218/215170460041*c_1001_4^4 - 2415351702988/215170460041*c_1001_4^3 - 3299789418032/215170460041*c_1001_4^2 - 1338081524296/215170460041*c_1001_4 - 328231216290/215170460041, c_1001_4^13 - c_1001_4^12 + 3*c_1001_4^11 + 31*c_1001_4^9 + 27*c_1001_4^8 + 69*c_1001_4^7 + 29*c_1001_4^6 + 109*c_1001_4^5 + 40*c_1001_4^4 + 46*c_1001_4^3 + 17*c_1001_4^2 + 3*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB