Magma V2.19-8 Tue Aug 20 2013 16:16:24 on localhost [Seed = 307465982] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0688 geometric_solution 4.65259755 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 -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 1 0 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190444286235 1.609379094949 0 4 0 4 0132 0132 1023 1023 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 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 0.611926170161 0.168147375469 5 0 3 5 0132 0132 3012 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 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 0.461619845416 0.692657767509 6 2 0 6 0132 1230 0132 1023 0 0 0 0 0 0 1 -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 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 0.461619845416 0.692657767509 4 1 4 1 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761077600103 0.060837782429 2 6 6 2 0132 3201 2310 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 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 1.433115501542 0.535677018940 3 5 5 3 0132 3201 2310 1023 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 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 1.433115501542 0.535677018940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(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_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 13728974639976/1958163329465*c_0101_6^16 + 55831022195188/1958163329465*c_0101_6^15 + 3479084059518/1958163329465*c_0101_6^14 - 40793557030274/279737618495*c_0101_6^13 + 69563561765144/391632665893*c_0101_6^12 + 297231483328417/1958163329465*c_0101_6^11 - 971434696731187/1958163329465*c_0101_6^10 + 288540958662904/1958163329465*c_0101_6^9 + 158417018560972/391632665893*c_0101_6^8 - 754713741391944/1958163329465*c_0101_6^7 - 217877097190397/1958163329465*c_0101_6^6 + 59176664005694/279737618495*c_0101_6^5 + 1392714835444/63166559015*c_0101_6^4 - 122966666915107/1958163329465*c_0101_6^3 + 46011557331041/1958163329465*c_0101_6^2 + 82343324085559/1958163329465*c_0101_6 - 58597836003922/1958163329465, c_0011_0 - 1, c_0011_3 - 5566989108/55947523699*c_0101_6^16 + 24409784098/55947523699*c_0101_6^15 - 14087132942/55947523699*c_0101_6^14 - 77868919746/55947523699*c_0101_6^13 + 154220382035/55947523699*c_0101_6^12 - 61766265541/55947523699*c_0101_6^11 - 163764827465/55947523699*c_0101_6^10 + 192219128274/55947523699*c_0101_6^9 - 92073886965/55947523699*c_0101_6^8 - 68177285589/55947523699*c_0101_6^7 + 6484458180/55947523699*c_0101_6^6 + 52759734705/55947523699*c_0101_6^5 - 840689174/1804758829*c_0101_6^4 - 64488991111/55947523699*c_0101_6^3 + 162844304344/55947523699*c_0101_6^2 - 3425778555/55947523699*c_0101_6 - 2636795011/55947523699, c_0101_0 - 71507901660/55947523699*c_0101_6^16 + 335060926146/55947523699*c_0101_6^15 - 199812900958/55947523699*c_0101_6^14 - 1302840098952/55947523699*c_0101_6^13 + 2525062799845/55947523699*c_0101_6^12 - 134769014749/55947523699*c_0101_6^11 - 4403878212530/55947523699*c_0101_6^10 + 3646134722175/55947523699*c_0101_6^9 + 1489235281794/55947523699*c_0101_6^8 - 3612843543150/55947523699*c_0101_6^7 + 311712189181/55947523699*c_0101_6^6 + 1552944963209/55947523699*c_0101_6^5 - 5388936794/1804758829*c_0101_6^4 - 663464680569/55947523699*c_0101_6^3 + 471437942525/55947523699*c_0101_6^2 + 10432679732/55947523699*c_0101_6 - 145981291939/55947523699, c_0101_1 - 5273590022/55947523699*c_0101_6^16 + 26661349196/55947523699*c_0101_6^15 - 24409784098/55947523699*c_0101_6^14 - 83474282465/55947523699*c_0101_6^13 + 199161490252/55947523699*c_0101_6^12 - 77753326716/55947523699*c_0101_6^11 - 223007595647/55947523699*c_0101_6^10 + 248142267817/55947523699*c_0101_6^9 - 15553862537/55947523699*c_0101_6^8 - 74044198728/55947523699*c_0101_6^7 - 13563359752/55947523699*c_0101_6^6 + 59435417095/55947523699*c_0101_6^5 - 681232083/1804758829*c_0101_6^4 - 5580175738/55947523699*c_0101_6^3 + 80309761177/55947523699*c_0101_6^2 - 91076010579/55947523699*c_0101_6 - 1847811467/55947523699, c_0101_4 - 120677037520/55947523699*c_0101_6^16 + 496879102074/55947523699*c_0101_6^15 - 86945705552/55947523699*c_0101_6^14 - 2114133147828/55947523699*c_0101_6^13 + 3044853066185/55947523699*c_0101_6^12 + 874141805604/55947523699*c_0101_6^11 - 6051788534275/55947523699*c_0101_6^10 + 3093103186930/55947523699*c_0101_6^9 + 2259061604029/55947523699*c_0101_6^8 - 3671758630005/55947523699*c_0101_6^7 - 755341649033/55947523699*c_0101_6^6 + 776650141387/55947523699*c_0101_6^5 + 14466311377/1804758829*c_0101_6^4 - 704805516718/55947523699*c_0101_6^3 + 483183122443/55947523699*c_0101_6^2 + 210144790400/55947523699*c_0101_6 - 55758782406/55947523699, c_0101_5 - c_0101_6, c_0101_6^17 - 4*c_0101_6^16 + 37/2*c_0101_6^14 - 23*c_0101_6^13 - 29/2*c_0101_6^12 + 54*c_0101_6^11 - 16*c_0101_6^10 - 67/2*c_0101_6^9 + 63/2*c_0101_6^8 + 31/2*c_0101_6^7 - 25/2*c_0101_6^6 - 6*c_0101_6^5 + 6*c_0101_6^4 - 3*c_0101_6^3 - 3*c_0101_6^2 + c_0101_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB