Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 2294879327] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1559 geometric_solution 5.34451716 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 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 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 0.567108242697 0.289487254352 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 1 -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 1.034056585561 0.424565059952 1 3 4 5 0132 0213 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577737759346 0.388005860066 5 4 2 1 0132 1023 0213 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 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 0.577737759346 0.388005860066 3 6 6 2 1023 0132 1023 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 0.762158485983 0.511041797424 3 5 2 5 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163327711463 1.356925438517 6 4 4 6 3012 0132 1023 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 1.595462147220 0.509606266910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 312865967626/24172194609*c_0101_6^20 - 1710114618691/8057398203*c_0101_6^18 - 27072021836204/24172194609*c_0101_6^16 - 39886465022458/24172194609*c_0101_6^14 + 4663068111374/2685799401*c_0101_6^12 + 6574333313506/2685799401*c_0101_6^10 + 35885808511639/24172194609*c_0101_6^8 - 47152702487608/24172194609*c_0101_6^6 - 17220630584200/24172194609*c_0101_6^4 + 500662858192/8057398203*c_0101_6^2 - 1240111597154/24172194609, c_0011_0 - 1, c_0011_1 + 1020551474/8057398203*c_0101_6^20 + 5547127751/2685799401*c_0101_6^18 + 86661669556/8057398203*c_0101_6^16 + 120197668196/8057398203*c_0101_6^14 - 17583299324/895266467*c_0101_6^12 - 21599490088/895266467*c_0101_6^10 - 90281821304/8057398203*c_0101_6^8 + 165801399563/8057398203*c_0101_6^6 + 47537652605/8057398203*c_0101_6^4 - 8154311357/2685799401*c_0101_6^2 + 6508503625/8057398203, c_0011_3 - 17584130/8057398203*c_0101_6^21 - 104921648/2685799401*c_0101_6^19 - 1440385300/8057398203*c_0101_6^17 + 4341379165/8057398203*c_0101_6^15 + 5667671742/895266467*c_0101_6^13 + 12976936942/895266467*c_0101_6^11 + 33876919829/8057398203*c_0101_6^9 - 65068234436/8057398203*c_0101_6^7 - 108785078321/8057398203*c_0101_6^5 - 3702589489/2685799401*c_0101_6^3 + 7813152158/8057398203*c_0101_6, c_0101_0 + 15834734/8057398203*c_0101_6^21 - 93703348/2685799401*c_0101_6^19 - 7417088555/8057398203*c_0101_6^17 - 43414602463/8057398203*c_0101_6^15 - 7045503250/895266467*c_0101_6^13 + 9285125051/895266467*c_0101_6^11 + 95516248915/8057398203*c_0101_6^9 + 43839932795/8057398203*c_0101_6^7 - 97167370084/8057398203*c_0101_6^5 - 3668065154/2685799401*c_0101_6^3 + 15888134491/8057398203*c_0101_6, c_0101_1 + 713440906/2685799401*c_0101_6^20 + 3912356089/895266467*c_0101_6^18 + 62366255372/2685799401*c_0101_6^16 + 94475227699/2685799401*c_0101_6^14 - 29500345613/895266467*c_0101_6^12 - 43082416285/895266467*c_0101_6^10 - 69783679498/2685799401*c_0101_6^8 + 105958221361/2685799401*c_0101_6^6 + 35800501078/2685799401*c_0101_6^4 - 5319262925/895266467*c_0101_6^2 + 1014083276/2685799401, c_0101_4 + 922881500/2685799401*c_0101_6^21 + 5001696178/895266467*c_0101_6^19 + 77832992155/2685799401*c_0101_6^17 + 107997107381/2685799401*c_0101_6^15 - 43655860549/895266467*c_0101_6^13 - 44560203474/895266467*c_0101_6^11 - 63132072887/2685799401*c_0101_6^9 + 148395934976/2685799401*c_0101_6^7 + 8038122686/2685799401*c_0101_6^5 - 9379154353/895266467*c_0101_6^3 + 5296009894/2685799401*c_0101_6, c_0101_6^22 + 16*c_0101_6^20 + 80*c_0101_6^18 + 93*c_0101_6^16 - 185*c_0101_6^14 - 135*c_0101_6^12 - 37*c_0101_6^10 + 195*c_0101_6^8 - 7*c_0101_6^6 - 29*c_0101_6^4 + 8*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB