Magma V2.19-8 Wed Aug 21 2013 00:38:45 on localhost [Seed = 1225744166] Type ? for help. Type -D to quit. Loading file "K14n2534__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2534 geometric_solution 12.24652030 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -1 0 0 1 1 0 0 -1 15 -16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010985223535 1.012090625706 0 5 6 2 0132 0132 0132 1023 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 1 0 0 -1 -15 15 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450950259575 1.061742546990 7 0 8 1 0132 0132 0132 1023 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 -1 0 1 0 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204625087823 0.644575446990 5 5 9 0 3012 0213 0132 0132 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 1 0 0 -1 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711002478088 0.886270147616 10 11 0 12 0132 0132 0132 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 1 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 -0.201625792332 0.812542895754 7 1 3 3 1023 0132 0213 1230 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 1 0 0 -1 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711002478088 0.886270147616 7 9 11 1 3120 1023 3120 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931801798810 0.835129612828 2 5 9 6 0132 1023 3012 3120 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 -1 0 1 0 0 0 0 0 0 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193852224331 1.097656528138 10 12 11 2 3120 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.195388302846 1.259808576542 6 7 12 3 1023 1230 0132 0132 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 -1 16 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700849512870 0.549855501952 4 10 10 8 0132 3201 2310 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287675641650 1.159319927280 8 4 6 12 2031 0132 3120 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.782627395173 1.225314175578 8 11 4 9 1302 1302 0132 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 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 0.256181188287 1.137481648863 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_8']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_8']), '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : 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_0110_11' : negation(d['c_0101_9']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_6, c_0101_7, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 118399077635583259973054128377/380581340357851991934914432*c_1100_0\ ^19 - 54063183913228134607779191643/47572667544731498991864304*c_11\ 00_0^18 + 96751977159971465002441338691/47572667544731498991864304*\ c_1100_0^17 - 3547513696857737251125224227833/380581340357851991934\ 914432*c_1100_0^16 + 1305429579134806687547249083035/95145335089462\ 997983728608*c_1100_0^15 - 5707986194475583267798781274003/19029067\ 0178925995967457216*c_1100_0^14 + 12202214384399243156069456505905/\ 190290670178925995967457216*c_1100_0^13 - 453791158994937753745973089259/11893166886182874747966076*c_1100_0^\ 12 + 38655112995156148157387478151819/190290670178925995967457216*c\ _1100_0^11 + 17637777657002962716388068920813/380581340357851991934\ 914432*c_1100_0^10 + 171054940756268536807399373062847/380581340357\ 851991934914432*c_1100_0^9 + 48436361694372999821781074775795/19029\ 0670178925995967457216*c_1100_0^8 + 63327470504691135261375454976133/95145335089462997983728608*c_1100_\ 0^7 + 156985477891581130305114075614845/380581340357851991934914432\ *c_1100_0^6 + 116720492193192878535053358593263/1902906701789259959\ 67457216*c_1100_0^5 + 62570252027735255239203293393495/190290670178\ 925995967457216*c_1100_0^4 + 152599281259170605283163725931/4904398\ 71595170092699632*c_1100_0^3 + 46165151268656877597294338331935/380\ 581340357851991934914432*c_1100_0^2 + 24643865464214017796472551813657/380581340357851991934914432*c_1100\ _0 + 43381978635081844406823430593/2973291721545718686991519, c_0011_0 - 1, c_0011_10 - 2205022648677901667/17327581670264630183*c_1100_0^19 + 9475626308555185395/17327581670264630183*c_1100_0^18 - 18947195087864166309/17327581670264630183*c_1100_0^17 + 72195839534827341586/17327581670264630183*c_1100_0^16 - 133644666381685073509/17327581670264630183*c_1100_0^15 + 254702936896305974970/17327581670264630183*c_1100_0^14 - 547527008332491688878/17327581670264630183*c_1100_0^13 + 493001545873913824100/17327581670264630183*c_1100_0^12 - 1457887715648452677745/17327581670264630183*c_1100_0^11 + 446766186775646982397/17327581670264630183*c_1100_0^10 - 2636166221589993077468/17327581670264630183*c_1100_0^9 - 1142195052271305645/17327581670264630183*c_1100_0^8 - 3122264934324775149444/17327581670264630183*c_1100_0^7 - 292866758439859168624/17327581670264630183*c_1100_0^6 - 2241958004511529568236/17327581670264630183*c_1100_0^5 - 114347208183678010602/17327581670264630183*c_1100_0^4 - 832387560551972754702/17327581670264630183*c_1100_0^3 + 46102706652988431691/17327581670264630183*c_1100_0^2 - 106267825287320070921/17327581670264630183*c_1100_0 - 3115833545522098120/17327581670264630183, c_0011_12 + 1577373486200186115/69310326681058520732*c_1100_0^19 - 4227715143198373413/17327581670264630183*c_1100_0^18 + 14616828180473414813/17327581670264630183*c_1100_0^17 - 142908857308464741419/69310326681058520732*c_1100_0^16 + 107145296895319670196/17327581670264630183*c_1100_0^15 - 404363318818284024203/34655163340529260366*c_1100_0^14 + 772881333756157718147/34655163340529260366*c_1100_0^13 - 699120300890632328762/17327581670264630183*c_1100_0^12 + 1591101248621938089441/34655163340529260366*c_1100_0^11 - 6423403314548352318525/69310326681058520732*c_1100_0^10 + 3567261144604338824533/69310326681058520732*c_1100_0^9 - 5162603768603356340697/34655163340529260366*c_1100_0^8 + 450556198835253212185/17327581670264630183*c_1100_0^7 - 11199271274201385934457/69310326681058520732*c_1100_0^6 + 46913142720345509289/34655163340529260366*c_1100_0^5 - 3667664322174075826361/34655163340529260366*c_1100_0^4 - 3829326026997371626/17327581670264630183*c_1100_0^3 - 2248804418857365277311/69310326681058520732*c_1100_0^2 + 148280713099103465723/69310326681058520732*c_1100_0 - 40659428079905193714/17327581670264630183, c_0011_3 + 4866043399354432171/69310326681058520732*c_1100_0^19 - 6086732447969368823/17327581670264630183*c_1100_0^18 + 12579365220350190328/17327581670264630183*c_1100_0^17 - 158154164667467177699/69310326681058520732*c_1100_0^16 + 84883239724240959725/17327581670264630183*c_1100_0^15 - 273973055095866273713/34655163340529260366*c_1100_0^14 + 574109923489660515671/34655163340529260366*c_1100_0^13 - 279127500658526071833/17327581670264630183*c_1100_0^12 + 1154599070400588596791/34655163340529260366*c_1100_0^11 - 1538443031452518210905/69310326681058520732*c_1100_0^10 + 2686489117235405666041/69310326681058520732*c_1100_0^9 - 1036865760829726079829/34655163340529260366*c_1100_0^8 + 287871839033842354174/17327581670264630183*c_1100_0^7 - 2790412254593871335753/69310326681058520732*c_1100_0^6 - 490273171824478912267/34655163340529260366*c_1100_0^5 - 1191515328835318554935/34655163340529260366*c_1100_0^4 - 308742222325409283986/17327581670264630183*c_1100_0^3 - 825927937912445885323/69310326681058520732*c_1100_0^2 - 255549558963109806849/69310326681058520732*c_1100_0 - 5951641224075636083/17327581670264630183, c_0011_8 - 6030288256869554681/69310326681058520732*c_1100_0^19 + 3900001450002547972/17327581670264630183*c_1100_0^18 - 1503166220157782197/17327581670264630183*c_1100_0^17 + 103468250415095908949/69310326681058520732*c_1100_0^16 - 5623318757496122933/17327581670264630183*c_1100_0^15 + 24642224387287767815/34655163340529260366*c_1100_0^14 - 147706081689059602545/34655163340529260366*c_1100_0^13 - 297762086507981450841/17327581670264630183*c_1100_0^12 - 860545720398416118879/34655163340529260366*c_1100_0^11 - 5143728314854600340165/69310326681058520732*c_1100_0^10 - 5357783368193317477131/69310326681058520732*c_1100_0^9 - 5386881711745405549509/34655163340529260366*c_1100_0^8 - 2235281722220380991410/17327581670264630183*c_1100_0^7 - 12682319574891261881993/69310326681058520732*c_1100_0^6 - 3932128973150512726225/34655163340529260366*c_1100_0^5 - 4015123758009555086215/34655163340529260366*c_1100_0^4 - 793432312960702552158/17327581670264630183*c_1100_0^3 - 2186974680651323412415/69310326681058520732*c_1100_0^2 - 366296034149995540829/69310326681058520732*c_1100_0 - 44575828608901251508/17327581670264630183, c_0101_0 + 3959785300893397905/34655163340529260366*c_1100_0^19 - 7653894245830723846/17327581670264630183*c_1100_0^18 + 13393180270286099298/17327581670264630183*c_1100_0^17 - 115307874838954371009/34655163340529260366*c_1100_0^16 + 91567620974433566267/17327581670264630183*c_1100_0^15 - 174876707675681967157/17327581670264630183*c_1100_0^14 + 388017258472225023131/17327581670264630183*c_1100_0^13 - 213769755545874675531/17327581670264630183*c_1100_0^12 + 1086010887186294207543/17327581670264630183*c_1100_0^11 + 449906692440399667917/34655163340529260366*c_1100_0^10 + 4192232219568076855833/34655163340529260366*c_1100_0^9 + 1128411317027655775691/17327581670264630183*c_1100_0^8 + 2625161948413803210915/17327581670264630183*c_1100_0^7 + 3115524845945484192749/34655163340529260366*c_1100_0^6 + 1905396969128795004230/17327581670264630183*c_1100_0^5 + 996719996374270637633/17327581670264630183*c_1100_0^4 + 622392743268677068145/17327581670264630183*c_1100_0^3 + 546920081809710859145/34655163340529260366*c_1100_0^2 + 57531581414958244057/34655163340529260366*c_1100_0 + 29987611041063290160/17327581670264630183, c_0101_1 + 6737044198386093419/69310326681058520732*c_1100_0^19 - 9047913270011881713/17327581670264630183*c_1100_0^18 + 22158520623921167410/17327581670264630183*c_1100_0^17 - 278846955832654849807/69310326681058520732*c_1100_0^16 + 157356236630202016784/17327581670264630183*c_1100_0^15 - 585992809605779829399/34655163340529260366*c_1100_0^14 + 1191859763489263412711/34655163340529260366*c_1100_0^13 - 759244229736135369453/17327581670264630183*c_1100_0^12 + 2777619602643431633645/34655163340529260366*c_1100_0^11 - 5233688255986387517593/69310326681058520732*c_1100_0^10 + 8264740792915860371265/69310326681058520732*c_1100_0^9 - 3362349523306533152461/34655163340529260366*c_1100_0^8 + 1924017983276100653320/17327581670264630183*c_1100_0^7 - 6762831628011355699661/69310326681058520732*c_1100_0^6 + 2096657328530093117851/34655163340529260366*c_1100_0^5 - 2364791578488452007537/34655163340529260366*c_1100_0^4 + 266181145468387466426/17327581670264630183*c_1100_0^3 - 1669300017028081086207/69310326681058520732*c_1100_0^2 + 77673425001228734707/69310326681058520732*c_1100_0 - 28565117139156969652/17327581670264630183, c_0101_11 + 6948654703701748559/69310326681058520732*c_1100_0^19 - 9505815110443296617/17327581670264630183*c_1100_0^18 + 23942130101915477575/17327581670264630183*c_1100_0^17 - 297877128437695405127/69310326681058520732*c_1100_0^16 + 168543845918130820402/17327581670264630183*c_1100_0^15 - 635421101429621897017/34655163340529260366*c_1100_0^14 + 1277121947575384821525/34655163340529260366*c_1100_0^13 - 826133107347904843626/17327581670264630183*c_1100_0^12 + 2967094189671984726317/34655163340529260366*c_1100_0^11 - 5628256403272017299277/69310326681058520732*c_1100_0^10 + 8863005146087681396145/69310326681058520732*c_1100_0^9 - 3474267609998967609501/34655163340529260366*c_1100_0^8 + 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