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Loading file "K12n370__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n370 geometric_solution 8.79986298 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 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 -1 0 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.238248891086 0.618462115824 0 5 6 2 0132 0132 0132 2310 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 1 0 -1 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 0.022074358238 0.748386042968 1 0 3 7 3201 0132 3201 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 0 -1 0 1 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 1.864111220644 1.360384562658 2 4 8 0 2310 0321 0132 0132 0 0 0 0 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 -1 1 1 0 0 -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 0.781888087191 0.603012136068 9 7 0 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.816268383918 0.776621585527 6 1 6 9 2310 0132 0213 0321 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 -1 0 1 1 0 -1 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 0.402491922705 0.367820833661 7 5 5 1 0213 0213 3201 0132 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 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207811461766 1.002997151969 6 4 2 8 0213 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085771746326 0.767036555376 7 9 9 3 3201 0213 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 -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 0.377783154169 0.812418446379 4 5 8 8 0132 0321 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 -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 0.529385174131 1.012051917764 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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_1001_3'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], '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_0011_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 85273332563/43023773680*c_1001_3^11 + 748836473819/21511886840*c_1001_3^10 + 1298296163827/21511886840*c_1001_3^9 - 954419572027/10755943420*c_1001_3^8 - 6679184439317/43023773680*c_1001_3^7 + 844186680761/8604754736*c_1001_3^6 + 4338297893417/43023773680*c_1001_3^5 - 2377205148059/43023773680*c_1001_3^4 - 246391880313/43023773680*c_1001_3^3 + 166287888619/10755943420*c_1001_3^2 - 151722246859/43023773680*c_1001_3 - 52513511851/8604754736, c_0011_0 - 1, c_0011_3 - 232463/104977*c_1001_3^11 + 19045084/524885*c_1001_3^10 + 58029566/524885*c_1001_3^9 + 12879428/524885*c_1001_3^8 - 85913621/524885*c_1001_3^7 - 38660314/524885*c_1001_3^6 + 8710382/104977*c_1001_3^5 + 22997324/524885*c_1001_3^4 - 6536678/524885*c_1001_3^3 - 7135806/524885*c_1001_3^2 - 225913/524885*c_1001_3 + 1715392/524885, c_0011_4 - 545082/524885*c_1001_3^11 + 1778522/104977*c_1001_3^10 + 27934823/524885*c_1001_3^9 + 6635404/524885*c_1001_3^8 - 8988931/104977*c_1001_3^7 - 24645608/524885*c_1001_3^6 + 23320638/524885*c_1001_3^5 + 16425727/524885*c_1001_3^4 - 2555278/524885*c_1001_3^3 - 3064363/524885*c_1001_3^2 - 624472/524885*c_1001_3 + 428564/524885, c_0011_6 + 520886/524885*c_1001_3^11 - 8419514/524885*c_1001_3^10 - 5612109/104977*c_1001_3^9 - 1746675/104977*c_1001_3^8 + 43175016/524885*c_1001_3^7 + 22546498/524885*c_1001_3^6 - 26458379/524885*c_1001_3^5 - 2560303/104977*c_1001_3^4 + 4942927/524885*c_1001_3^3 + 674278/104977*c_1001_3^2 + 780684/524885*c_1001_3 - 1002244/524885, c_0101_0 + 313229/209954*c_1001_3^11 - 12846138/524885*c_1001_3^10 - 38676197/524885*c_1001_3^9 - 10713066/524885*c_1001_3^8 + 98394659/1049770*c_1001_3^7 + 42499471/1049770*c_1001_3^6 - 7894215/209954*c_1001_3^5 - 17425201/1049770*c_1001_3^4 + 3214917/1049770*c_1001_3^3 + 2386737/524885*c_1001_3^2 - 27683/1049770*c_1001_3 - 2276163/1049770, c_0101_1 + 1899659/524885*c_1001_3^11 - 31000267/524885*c_1001_3^10 - 97055334/524885*c_1001_3^9 - 25061222/524885*c_1001_3^8 + 145581083/524885*c_1001_3^7 + 74940253/524885*c_1001_3^6 - 71368121/524885*c_1001_3^5 - 42288771/524885*c_1001_3^4 + 1643236/104977*c_1001_3^3 + 10561974/524885*c_1001_3^2 + 1694673/524885*c_1001_3 - 2597894/524885, c_0101_3 - 50243/209954*c_1001_3^11 + 1947874/524885*c_1001_3^10 + 8117511/524885*c_1001_3^9 + 6199673/524885*c_1001_3^8 - 18450207/1049770*c_1001_3^7 - 22882283/1049770*c_1001_3^6 + 989073/209954*c_1001_3^5 + 11381463/1049770*c_1001_3^4 + 4364449/1049770*c_1001_3^3 - 882236/524885*c_1001_3^2 - 2010621/1049770*c_1001_3 + 331679/1049770, c_1001_0 + 151697/209954*c_1001_3^11 - 6198946/524885*c_1001_3^10 - 19353369/524885*c_1001_3^9 - 2166362/524885*c_1001_3^8 + 73432583/1049770*c_1001_3^7 + 34821157/1049770*c_1001_3^6 - 9526549/209954*c_1001_3^5 - 28569447/1049770*c_1001_3^4 + 9858439/1049770*c_1001_3^3 + 4749069/524885*c_1001_3^2 + 479509/1049770*c_1001_3 - 2204391/1049770, c_1001_1 - 858306/524885*c_1001_3^11 + 13792094/524885*c_1001_3^10 + 9476197/104977*c_1001_3^9 + 4341739/104977*c_1001_3^8 - 62826241/524885*c_1001_3^7 - 46978328/524885*c_1001_3^6 + 25102934/524885*c_1001_3^5 + 4485399/104977*c_1001_3^4 - 746242/524885*c_1001_3^3 - 926807/104977*c_1001_3^2 - 934874/524885*c_1001_3 + 1394809/524885, c_1001_3^12 - 17*c_1001_3^11 - 40*c_1001_3^10 + 22*c_1001_3^9 + 87*c_1001_3^8 - 12*c_1001_3^7 - 66*c_1001_3^6 + 2*c_1001_3^5 + 20*c_1001_3^4 + 3*c_1001_3^3 - 3*c_1001_3^2 - 2*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB