Magma V2.19-8 Tue Aug 20 2013 16:14:26 on localhost [Seed = 3903419625] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s428 geometric_solution 4.72623741 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 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 2.004652404012 0.519409665844 0 2 3 0 0132 0132 0132 3201 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 -1 0 1 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 0.225106988105 0.901994476957 4 1 5 4 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 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 0.179531429123 0.462723738576 5 4 4 1 1023 3201 2310 0132 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179531429123 0.462723738576 2 3 3 2 0132 3201 2310 1023 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 -1 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 1.271218898284 1.878358110535 5 3 5 2 2310 1023 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157239892384 1.328549171821 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : 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' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3495720100970745260315/101268336341904863337984*c_0101_4^14 - 2136119689373979091713/16878056056984143889664*c_0101_4^13 - 56945278035139283244071/101268336341904863337984*c_0101_4^12 + 37297273155212933983757/50634168170952431668992*c_0101_4^11 + 19082687908908953930263/33756112113968287779328*c_0101_4^10 - 308097145859726720199169/101268336341904863337984*c_0101_4^9 + 40226890598743199693145/33756112113968287779328*c_0101_4^8 - 14129110308512746901623/12658542042738107917248*c_0101_4^7 + 321124003424067823963/1582317755342263489656*c_0101_4^6 + 2897646979411302154843/527439251780754496552*c_0101_4^5 - 21048515104192469404587/2109757007123017986208*c_0101_4^4 + 11143195324895375655385/1582317755342263489656*c_0101_4^3 - 9419789243831855769721/1582317755342263489656*c_0101_4^2 - 17152061826215110115/65929906472594312069*c_0101_4 + 1211330788332726078353/395579438835565872414, c_0011_0 - 1, c_0011_3 - 7706059731671635170739/1156146839903413856441984*c_0101_4^14 + 2546095844227937843555/72259177493963366027624*c_0101_4^13 + 43639302711323848460993/1156146839903413856441984*c_0101_4^12 - 35311294740123277283127/289036709975853464110496*c_0101_4^11 + 138491983051703525198473/1156146839903413856441984*c_0101_4^10 + 131428182149394504848119/1156146839903413856441984*c_0101_4^9 - 58051985473063778653775/1156146839903413856441984*c_0101_4^8 + 64880496986451282395389/289036709975853464110496*c_0101_4^7 - 251505653092081150896719/578073419951706928220992*c_0101_4^6 + 73677425223382524341703/289036709975853464110496*c_0101_4^5 - 9013173339758841989091/36129588746981683013812*c_0101_4^4 - 787291891959858875877/18064794373490841506906*c_0101_4^3 + 8280306793439011333697/9032397186745420753453*c_0101_4^2 + 1930688619005344543057/9032397186745420753453*c_0101_4 - 484193318318789197654/9032397186745420753453, c_0101_0 - 14662270879290398664667/1156146839903413856441984*c_0101_4^1\ 4 + 37314298147866893785517/1156146839903413856441984*c_0101_4^13 + 248989340313888702419955/1156146839903413856441984*c_0101_4^12 + 170160682526389201986059/1156146839903413856441984*c_0101_4^11 - 54996480176499753163045/1156146839903413856441984*c_0101_4^10 + 217470200940946656382885/578073419951706928220992*c_0101_4^9 + 532853595573754224499923/578073419951706928220992*c_0101_4^8 + 1543041317489047454801573/1156146839903413856441984*c_0101_4^7 + 511047031672481728954059/578073419951706928220992*c_0101_4^6 - 108854031586460445826531/289036709975853464110496*c_0101_4^5 - 41858209207978901852069/144518354987926732055248*c_0101_4^4 + 13206351484617682230667/72259177493963366027624*c_0101_4^3 + 16836761315839856930575/36129588746981683013812*c_0101_4^2 + 15928875435884978915425/18064794373490841506906*c_0101_4 + 5478143978601823556078/9032397186745420753453, c_0101_1 + 4115643205709708180059/1156146839903413856441984*c_0101_4^14 - 1836241624409955487065/289036709975853464110496*c_0101_4^13 - 98179736497292238312823/1156146839903413856441984*c_0101_4^12 - 3299256929968237420231/289036709975853464110496*c_0101_4^11 + 185409597598068984135389/1156146839903413856441984*c_0101_4^10 - 315477334909750791610439/1156146839903413856441984*c_0101_4^9 - 259709107729716879911487/1156146839903413856441984*c_0101_4^8 - 14092818956435811796671/578073419951706928220992*c_0101_4^7 - 26145031520948146583069/144518354987926732055248*c_0101_4^6 + 176455688752668825260349/289036709975853464110496*c_0101_4^5 - 53341305853993378040235/144518354987926732055248*c_0101_4^4 + 14879090110445554193431/36129588746981683013812*c_0101_4^3 + 848293806441533955273/18064794373490841506906*c_0101_4^2 - 8254506377610785710422/9032397186745420753453*c_0101_4 - 2408797283054321493152/9032397186745420753453, c_0101_2 + 2274051520783064306197/578073419951706928220992*c_0101_4^14 - 20946625366262518102079/1156146839903413856441984*c_0101_4^13 - 22937264765265348834741/578073419951706928220992*c_0101_4^12 + 77681665433797821344847/1156146839903413856441984*c_0101_4^11 + 18717689198233615792561/578073419951706928220992*c_0101_4^10 - 144981947535247033204439/1156146839903413856441984*c_0101_4^9 - 128967592285115409665399/1156146839903413856441984*c_0101_4^8 + 38127969495903859329711/1156146839903413856441984*c_0101_4^7 + 164869221028568983830301/578073419951706928220992*c_0101_4^6 + 24009084084843595147/18064794373490841506906*c_0101_4^5 - 675339748507186918211/36129588746981683013812*c_0101_4^4 - 21871918289768780960223/36129588746981683013812*c_0101_4^3 + 402387401398598765569/18064794373490841506906*c_0101_4^2 - 4205606528268713394849/18064794373490841506906*c_0101_4 + 791150295425647398988/9032397186745420753453, c_0101_4^15 - 94/17*c_0101_4^14 - 69/17*c_0101_4^13 + 18*c_0101_4^12 - 401/17*c_0101_4^11 - 159/17*c_0101_4^10 + 13/17*c_0101_4^9 - 596/17*c_0101_4^8 + 1280/17*c_0101_4^7 - 1240/17*c_0101_4^6 + 672/17*c_0101_4^5 - 416/17*c_0101_4^4 - 192/17*c_0101_4^3 - 384/17*c_0101_4^2 + 768/17*c_0101_4 - 512/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB