Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 3002281588] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0290 geometric_solution 4.33440491 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 -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 1.452066513589 0.099830819077 0 2 2 0 3201 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 -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 1.225918508653 0.137352953450 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251149141313 0.611528866219 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.260110524880 0.290290555835 6 3 5 5 0132 0132 3201 2031 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131516969286 0.831823517966 4 4 6 3 2310 1302 2310 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 -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 0.131516969286 0.831823517966 4 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.814562961118 1.172859220233 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], '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_5, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/18, c_0011_0 - 1, c_0011_1 - 2, c_0011_5 + c_0101_6, c_0101_0 - c_0101_6, c_0101_2 + c_0101_6, c_0101_3 - 1, c_0101_6^2 - 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 656975962634192063/817424278994364713*c_0101_6^18 + 2286924319600465047/817424278994364713*c_0101_6^16 - 2185612846208342597/817424278994364713*c_0101_6^14 - 194728950864350627395/817424278994364713*c_0101_6^12 - 108109686081879373921/116774896999194959*c_0101_6^10 + 2971119789961760166935/817424278994364713*c_0101_6^8 - 3920922960328583462027/817424278994364713*c_0101_6^6 + 2758368894473614511489/817424278994364713*c_0101_6^4 - 156513079243390395874/116774896999194959*c_0101_6^2 + 198210726996238712881/817424278994364713, c_0011_0 - 1, c_0011_1 + 1218765617545302/16682128142742137*c_0101_6^18 - 3372274748125771/16682128142742137*c_0101_6^16 + 1576752429523949/16682128142742137*c_0101_6^14 + 362453458793610372/16682128142742137*c_0101_6^12 + 1662836614005615594/16682128142742137*c_0101_6^10 - 4345227644310685083/16682128142742137*c_0101_6^8 + 4042928859583674549/16682128142742137*c_0101_6^6 - 2152372270830387145/16682128142742137*c_0101_6^4 + 549457773635829524/16682128142742137*c_0101_6^2 - 35785492605651245/16682128142742137, c_0011_5 - 605632922038784/16682128142742137*c_0101_6^19 + 1166642643628318/16682128142742137*c_0101_6^17 + 260610996483184/16682128142742137*c_0101_6^15 - 180056011872171898/16682128142742137*c_0101_6^13 - 977615545274327588/16682128142742137*c_0101_6^11 + 1356298762016139321/16682128142742137*c_0101_6^9 - 778796749892934812/16682128142742137*c_0101_6^7 + 205010085460130473/16682128142742137*c_0101_6^5 + 69036724209587657/16682128142742137*c_0101_6^3 - 15805495236899241/16682128142742137*c_0101_6, c_0101_0 - 2920992252172751/16682128142742137*c_0101_6^19 + 7409920130256713/16682128142742137*c_0101_6^17 - 2667959472410449/16682128142742137*c_0101_6^15 - 868155842623150435/16682128142742137*c_0101_6^13 - 4184958284382914260/16682128142742137*c_0101_6^11 + 9274240525799747093/16682128142742137*c_0101_6^9 - 8515130998038568692/16682128142742137*c_0101_6^7 + 4498161537737826417/16682128142742137*c_0101_6^5 - 1211120556877352897/16682128142742137*c_0101_6^3 + 138859390028734588/16682128142742137*c_0101_6, c_0101_2 + 1895801087398595/16682128142742137*c_0101_6^19 - 4556664738886236/16682128142742137*c_0101_6^17 + 992489175475556/16682128142742137*c_0101_6^15 + 563916151281863580/16682128142742137*c_0101_6^13 + 2791225964833257318/16682128142742137*c_0101_6^11 - 5686698586798240731/16682128142742137*c_0101_6^9 + 4577670996273788160/16682128142742137*c_0101_6^7 - 1885080738448334190/16682128142742137*c_0101_6^5 + 261160510161530417/16682128142742137*c_0101_6^3 + 36757714481077022/16682128142742137*c_0101_6, c_0101_3 + 1670652256222643/16682128142742137*c_0101_6^18 - 3932475392045246/16682128142742137*c_0101_6^16 + 783207735568792/16682128142742137*c_0101_6^14 + 496736975773657956/16682128142742137*c_0101_6^12 + 2484445430320338460/16682128142742137*c_0101_6^10 - 4856859269218765066/16682128142742137*c_0101_6^8 + 3946816805909783610/16682128142742137*c_0101_6^6 - 1778202962706441504/16682128142742137*c_0101_6^4 + 342986529652242106/16682128142742137*c_0101_6^2 - 8962971603996513/16682128142742137, c_0101_6^20 - 3*c_0101_6^18 + 2*c_0101_6^16 + 297*c_0101_6^14 + 1295*c_0101_6^12 - 3865*c_0101_6^10 + 4255*c_0101_6^8 - 2629*c_0101_6^6 + 917*c_0101_6^4 - 150*c_0101_6^2 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB