Magma V2.19-8 Tue Aug 20 2013 16:19:11 on localhost [Seed = 2160139768] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3313 geometric_solution 6.44537626 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -1 0 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 0.640192077256 0.793092079068 0 3 5 4 0132 0132 0132 0132 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 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 0.511366375595 0.787152104026 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 1 -1 0 -1 0 0 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 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 0.511366375595 0.787152104026 3 1 3 2 2031 0132 1302 2310 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 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 0.464441500217 1.044830367022 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 -1 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 0 0 -1 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 1.203717046844 1.268191920194 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381105945604 0.757684611766 4 4 6 6 3201 0132 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462120247254 0.229742987022 ==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' : d['1'], 's_3_4' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : 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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 17253318047909705586605/602484108242855490159*c_0110_6^26 - 360713102133228024071651/602484108242855490159*c_0110_6^24 + 2571223923342880035440083/602484108242855490159*c_0110_6^22 - 3080324961100594965885026/200828036080951830053*c_0110_6^20 + 4851775200432275114110607/200828036080951830053*c_0110_6^18 + 1795722068396574474067719/200828036080951830053*c_0110_6^16 - 10892499429775462142461555/200828036080951830053*c_0110_6^14 + 9812067379347186561442603/602484108242855490159*c_0110_6^12 + 39471154338188979203497712/602484108242855490159*c_0110_6^10 - 15415435603080509247476246/200828036080951830053*c_0110_6^8 + 23004530294005668635644310/602484108242855490159*c_0110_6^6 - 7587701261389966471888685/602484108242855490159*c_0110_6^4 + 1758676091314624989618985/602484108242855490159*c_0110_6^2 - 122154623007198620353186/602484108242855490159, c_0011_0 - 1, c_0011_4 + 602982437001288349342/200828036080951830053*c_0110_6^27 - 12594376670444549740914/200828036080951830053*c_0110_6^25 + 89621057435662824410955/200828036080951830053*c_0110_6^23 - 321422581404569645519181/200828036080951830053*c_0110_6^21 + 504017275549748218783374/200828036080951830053*c_0110_6^19 + 192410903627300652558499/200828036080951830053*c_0110_6^17 - 1130333454189609671379587/200828036080951830053*c_0110_6^15 + 328205139982858357090638/200828036080951830053*c_0110_6^13 + 1365516745253194574503358/200828036080951830053*c_0110_6^11 - 1592148173887149009964002/200828036080951830053*c_0110_6^9 + 800160775484766167926746/200828036080951830053*c_0110_6^7 - 269255977437171777438662/200828036080951830053*c_0110_6^5 + 62698035010608885597740/200828036080951830053*c_0110_6^3 - 5283185344330189267580/200828036080951830053*c_0110_6, c_0101_0 - 31299553970021754906/200828036080951830053*c_0110_6^27 + 634534789791762286925/200828036080951830053*c_0110_6^25 - 4268598576353682420946/200828036080951830053*c_0110_6^23 + 14187911672286656949077/200828036080951830053*c_0110_6^21 - 18298140974035198228950/200828036080951830053*c_0110_6^19 - 18355040705632962820275/200828036080951830053*c_0110_6^17 + 43502767791858962470216/200828036080951830053*c_0110_6^15 + 6443176440664101623418/200828036080951830053*c_0110_6^13 - 57616604199173094516356/200828036080951830053*c_0110_6^11 + 47308569213115540744759/200828036080951830053*c_0110_6^9 - 24533247110642637505429/200828036080951830053*c_0110_6^7 + 10116696362896427849616/200828036080951830053*c_0110_6^5 - 2514410484625732397922/200828036080951830053*c_0110_6^3 + 566606323975963702746/200828036080951830053*c_0110_6, c_0101_1 + 19964472542901793068/200828036080951830053*c_0110_6^26 - 407948399138335852185/200828036080951830053*c_0110_6^24 + 2784313498654380493462/200828036080951830053*c_0110_6^22 - 9415543935656985286947/200828036080951830053*c_0110_6^20 + 12625862051547664204402/200828036080951830053*c_0110_6^18 + 11561600677610053414900/200828036080951830053*c_0110_6^16 - 32075274067997849970537/200828036080951830053*c_0110_6^14 - 1521266958904657504623/200828036080951830053*c_0110_6^12 + 43666294123853221605740/200828036080951830053*c_0110_6^10 - 36033923549059616236538/200828036080951830053*c_0110_6^8 + 12097418951718595383674/200828036080951830053*c_0110_6^6 - 1977049370174433553617/200828036080951830053*c_0110_6^4 + 339708460023069223090/200828036080951830053*c_0110_6^2 + 37027389994231510492/200828036080951830053, c_0101_2 + 701644834657477041710/200828036080951830053*c_0110_6^27 - 14636563827093035894941/200828036080951830053*c_0110_6^25 + 103911366016915654068816/200828036080951830053*c_0110_6^23 - 371533652924620601722000/200828036080951830053*c_0110_6^21 + 578434915783154403629763/200828036080951830053*c_0110_6^19 + 233403265616647950113033/200828036080951830053*c_0110_6^17 - 1302112473266617960455103/200828036080951830053*c_0110_6^15 + 356385993670206319835472/200828036080951830053*c_0110_6^13 + 1580266266886313098719562/200828036080951830053*c_0110_6^11 - 1815738986016004349066437/200828036080951830053*c_0110_6^9 + 908617065667448592330270/200828036080951830053*c_0110_6^7 - 306926814138716613907539/200828036080951830053*c_0110_6^5 + 71038737035596867365565/200828036080951830053*c_0110_6^3 - 5872614033880554914214/200828036080951830053*c_0110_6, c_0101_5 + 195128448984606081129/200828036080951830053*c_0110_6^26 - 4074182504821558888163/200828036080951830053*c_0110_6^24 + 28976239036970281861444/200828036080951830053*c_0110_6^22 - 103885895123333980803871/200828036080951830053*c_0110_6^20 + 162894278038041818243389/200828036080951830053*c_0110_6^18 + 61687440295931138079116/200828036080951830053*c_0110_6^16 - 363315181000490639157247/200828036080951830053*c_0110_6^14 + 106616963169867885152248/200828036080951830053*c_0110_6^12 + 437220122866627668112256/200828036080951830053*c_0110_6^10 - 514245814622873066409402/200828036080951830053*c_0110_6^8 + 263109928898336514644203/200828036080951830053*c_0110_6^6 - 89997378204727483190766/200828036080951830053*c_0110_6^4 + 21128303986273604283891/200828036080951830053*c_0110_6^2 - 1796544548450479546408/200828036080951830053, c_0110_6^28 - 21*c_0110_6^26 + 151*c_0110_6^24 - 550*c_0110_6^22 + 897*c_0110_6^20 + 222*c_0110_6^18 - 1908*c_0110_6^16 + 761*c_0110_6^14 + 2196*c_0110_6^12 - 2900*c_0110_6^10 + 1636*c_0110_6^8 - 603*c_0110_6^6 + 157*c_0110_6^4 - 21*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB