Magma V2.19-8 Wed Aug 21 2013 00:53:46 on localhost [Seed = 3886150252] Type ? for help. Type -D to quit. Loading file "L12n1903__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1903 geometric_solution 12.37647064 oriented_manifold CS_known 0.0000000000000009 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 2 2 1 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 1 -1 0 0 -2 2 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400906936340 0.811456548016 0 5 7 6 0132 0132 0132 0132 0 2 1 2 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 0 0 0 0 0 0 0 -2 1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588862040170 0.797598882977 8 0 9 5 0132 0132 0132 0132 0 2 1 2 0 0 0 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 0 0 0 -1 0 0 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279504056333 1.011570842128 10 6 5 0 0132 0132 0132 0132 0 2 1 2 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 0 -1 -1 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588862040170 0.797598882977 8 11 0 9 2031 0132 0132 0132 0 2 1 2 0 -1 0 1 0 0 1 -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 1 -1 0 0 -2 2 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981851347455 0.846323123068 8 1 2 3 1023 0132 0132 0132 0 2 2 1 0 0 0 0 0 0 1 -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 0 -1 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 0.400906936340 0.811456548016 12 3 1 7 0132 0132 0132 0321 0 2 2 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 -1 0 1 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 0.746227944422 0.918442527591 8 6 10 1 3012 0321 0132 0132 0 2 2 2 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 -1 1 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 1.212951832511 0.825314213054 2 5 4 7 0132 1023 1302 1230 2 2 2 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 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 -0.293123424301 1.136026515493 11 12 4 2 0213 0132 0132 0132 0 2 2 1 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 -1 1 0 2 0 -2 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 0.400906936340 0.811456548016 3 11 12 7 0132 0213 0132 0132 0 2 2 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 1 0 -1 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 0.415667244407 0.503675351576 9 4 10 12 0213 0132 0213 0132 0 2 2 1 0 1 0 -1 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 -1 1 -1 0 0 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973534416974 0.687000874651 6 9 11 10 0132 0132 0132 0132 0 2 1 2 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 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 0.588862040170 0.797598882977 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_7'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_7'], 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_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_1001_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_0101_1'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : d['c_1001_7'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_12, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 251784754100/112672651*c_1100_0^6 + 149193567392/112672651*c_1100_0^5 + 380831197636/112672651*c_1100_0^4 + 24839764400/16096093*c_1100_0^3 + 4886329369/8667127*c_1100_0^2 + 2250880451/16096093*c_1100_0 - 1742747525/112672651, c_0011_0 - 1, c_0011_10 + 4895100/72833*c_1100_0^6 + 880512/72833*c_1100_0^5 + 6685960/72833*c_1100_0^4 + 640860/72833*c_1100_0^3 + 519343/72833*c_1100_0^2 + 45537/72833*c_1100_0 - 83527/72833, c_0011_11 + 16278300/72833*c_1100_0^6 + 13240396/72833*c_1100_0^5 + 27331744/72833*c_1100_0^4 + 16831428/72833*c_1100_0^3 + 7530297/72833*c_1100_0^2 + 2113502/72833*c_1100_0 + 228573/72833, c_0011_7 - 5090900/72833*c_1100_0^6 - 3544808/72833*c_1100_0^5 - 8394460/72833*c_1100_0^4 - 4549760/72833*c_1100_0^3 - 2313179/72833*c_1100_0^2 - 693031/72833*c_1100_0 - 137520/72833, c_0101_0 - 1094500/72833*c_1100_0^6 - 5318440/72833*c_1100_0^5 - 4759712/72833*c_1100_0^4 - 7913840/72833*c_1100_0^3 - 3926555/72833*c_1100_0^2 - 1486803/72833*c_1100_0 - 321942/72833, c_0101_1 - 1, c_0101_3 + 977800/72833*c_1100_0^6 + 881136/72833*c_1100_0^5 + 2406320/72833*c_1100_0^4 + 1424928/72833*c_1100_0^3 + 1486666/72833*c_1100_0^2 + 435792/72833*c_1100_0 + 104305/72833, c_1001_0 - 1, c_1001_1 - 16746700/72833*c_1100_0^6 - 13588004/72833*c_1100_0^5 - 28709404/72833*c_1100_0^4 - 17371510/72833*c_1100_0^3 - 8572735/72833*c_1100_0^2 - 2235708/72833*c_1100_0 - 418648/72833, c_1001_10 - 99600/72833*c_1100_0^6 + 1680048/72833*c_1100_0^5 + 819392/72833*c_1100_0^4 + 2407630/72833*c_1100_0^3 + 945158/72833*c_1100_0^2 + 307827/72833*c_1100_0 + 25263/72833, c_1001_12 + 5969100/72833*c_1100_0^6 + 6105992/72833*c_1100_0^5 + 11620172/72833*c_1100_0^4 + 8382318/72833*c_1100_0^3 + 4745003/72833*c_1100_0^2 + 1363817/72833*c_1100_0 + 267088/72833, c_1001_7 + 5579800/72833*c_1100_0^6 + 3985376/72833*c_1100_0^5 + 9597620/72833*c_1100_0^4 + 5262224/72833*c_1100_0^3 + 3056512/72833*c_1100_0^2 + 910927/72833*c_1100_0 + 226089/72833, c_1100_0^7 + 28/25*c_1100_0^6 + 2*c_1100_0^5 + 8/5*c_1100_0^4 + 89/100*c_1100_0^3 + 33/100*c_1100_0^2 + 2/25*c_1100_0 + 1/100 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB