Magma V2.19-8 Tue Aug 20 2013 23:29:40 on localhost [Seed = 1966281509] Type ? for help. Type -D to quit. Loading file "K11n28__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n28 geometric_solution 8.06164595 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 9 1 2 1 2 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 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 0.581380105638 0.358610921177 0 3 0 4 0132 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 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 1.221835095238 0.903585326735 5 0 3 0 0132 0132 1302 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 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469485764634 0.456495430703 2 1 6 5 2031 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 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 0.917875174516 0.466490778146 7 8 1 6 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.319040035975 0.793172177831 2 7 3 7 0132 1302 0132 3201 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 -1 0 1 1 0 0 -1 1 1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469461018514 0.792105622333 4 8 8 3 3012 0321 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724893075185 0.902482911736 4 5 8 5 0132 2310 1023 2031 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 2 -1 -1 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469461018514 0.792105622333 6 4 7 6 2310 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.724893075185 0.902482911736 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_1001_8' : d['c_0011_6'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_0_8' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0101_8']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_3'], 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_5'], 'c_1010_8' : d['c_1001_3'], '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_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1891467107628260802990794574883/204875917120289129659526358845194*c\ _1001_3^13 - 687306456169585046708121761435/29267988160041304237075\ 194120742*c_1001_3^12 - 29258518434116663064050672558300/1024379585\ 60144564829763179422597*c_1001_3^11 - 23951654753142904658531300431462/102437958560144564829763179422597*\ c_1001_3^10 - 335611103017981918046627819366543/2048759171202891296\ 59526358845194*c_1001_3^9 - 61426846607798728415385170272966/102437\ 958560144564829763179422597*c_1001_3^8 - 742368790072939519672290123079371/204875917120289129659526358845194\ *c_1001_3^7 - 669421540376911305218231942397372/1024379585601445648\ 29763179422597*c_1001_3^6 - 272233863602899259889054716917096/10243\ 7958560144564829763179422597*c_1001_3^5 - 769060956309751249697889281879865/204875917120289129659526358845194\ *c_1001_3^4 - 2100552177174356314334256624648521/204875917120289129\ 659526358845194*c_1001_3^3 + 28278413122333868891972640553335/44538\ 24285223676731728833887939*c_1001_3^2 - 1619949185357200163833469813367579/20487591712028912965952635884519\ 4*c_1001_3 + 229891276652225737747042535572001/10243795856014456482\ 9763179422597, c_0011_0 - 1, c_0011_4 - 106630460659521311047838/204595893540663142039122147*c_1001_\ 3^13 - 83065649719185498055627/204595893540663142039122147*c_1001_3\ ^12 - 2809198324195316668959152/204595893540663142039122147*c_1001_\ 3^11 + 3018056817882770438638304/204595893540663142039122147*c_1001\ _3^10 - 14084595331390981504127509/204595893540663142039122147*c_10\ 01_3^9 + 7734836194963329583759563/68198631180221047346374049*c_100\ 1_3^8 - 27999662653643592312036802/204595893540663142039122147*c_10\ 01_3^7 - 3950629204640702095574584/68198631180221047346374049*c_100\ 1_3^6 + 120992711375593616785393364/204595893540663142039122147*c_1\ 001_3^5 + 13197138005149993593506572/204595893540663142039122147*c_\ 1001_3^4 - 101119326686141628051540184/204595893540663142039122147*\ c_1001_3^3 + 14394276001594023316491331/8895473632202745306048789*c\ _1001_3^2 - 51200488029352103741801080/68198631180221047346374049*c\ _1001_3 + 140552435880697844286207748/204595893540663142039122147, c_0011_6 - 50667087090562473051820/204595893540663142039122147*c_1001_3\ ^13 + 179472662453252870503771/204595893540663142039122147*c_1001_3\ ^12 - 976454660078997812895277/204595893540663142039122147*c_1001_3\ ^11 + 7797947338537174159916764/204595893540663142039122147*c_1001_\ 3^10 - 6856041984485708392368938/204595893540663142039122147*c_1001\ _3^9 + 16042736708962369337706928/68198631180221047346374049*c_1001\ _3^8 - 26122984719423768023015795/204595893540663142039122147*c_100\ 1_3^7 + 28571412466033210355503686/68198631180221047346374049*c_100\ 1_3^6 + 180766313869033060817453329/204595893540663142039122147*c_1\ 001_3^5 - 21360223034725974219020152/204595893540663142039122147*c_\ 1001_3^4 + 187764836145198963423633733/204595893540663142039122147*\ c_1001_3^3 + 24332765871123900179008565/8895473632202745306048789*c\ _1001_3^2 - 98501327837426937058143915/68198631180221047346374049*c\ _1001_3 + 741556279158847747231749614/204595893540663142039122147, c_0101_0 + 108268172538928725334787/204595893540663142039122147*c_1001_\ 3^13 - 14654421077785522224977/204595893540663142039122147*c_1001_3\ ^12 + 2833888382524416775070321/204595893540663142039122147*c_1001_\ 3^11 - 5314640861212484340329912/204595893540663142039122147*c_1001\ _3^10 + 19603797433821074807149954/204595893540663142039122147*c_10\ 01_3^9 - 9426479178910879842404163/68198631180221047346374049*c_100\ 1_3^8 + 70102259719498972571421697/204595893540663142039122147*c_10\ 01_3^7 + 9717391867664027814238773/68198631180221047346374049*c_100\ 1_3^6 - 87686522193661056912155333/204595893540663142039122147*c_10\ 01_3^5 + 188673380131668038426012765/204595893540663142039122147*c_\ 1001_3^4 + 202938367787354247857022889/204595893540663142039122147*\ c_1001_3^3 - 14092767938188341691034896/8895473632202745306048789*c\ _1001_3^2 + 106683683192029877991800525/68198631180221047346374049*\ c_1001_3 - 172260868912037396645433907/204595893540663142039122147, c_0101_1 - 106712603725272222806355/68198631180221047346374049*c_1001_3\ ^13 - 111120936492198478985986/68198631180221047346374049*c_1001_3^\ 12 - 2890570844938095377233240/68198631180221047346374049*c_1001_3^\ 11 + 2098504807175576524026422/68198631180221047346374049*c_1001_3^\ 10 - 15267794564811154253356343/68198631180221047346374049*c_1001_3\ ^9 + 16395701025475577048470265/68198631180221047346374049*c_1001_3\ ^8 - 36747352687351411975708278/68198631180221047346374049*c_1001_3\ ^7 - 39522613751441615394220409/68198631180221047346374049*c_1001_3\ ^6 + 68340077554270096639415776/68198631180221047346374049*c_1001_3\ ^5 - 35804692324143264667726974/68198631180221047346374049*c_1001_3\ ^4 - 164361179328150417667065980/68198631180221047346374049*c_1001_\ 3^3 + 10272136496930534544500008/2965157877400915102016263*c_1001_3\ ^2 - 159307589535373243968452445/68198631180221047346374049*c_1001_\ 3 + 58238496558131373670447767/68198631180221047346374049, c_0101_3 + 95820317466487587500155/204595893540663142039122147*c_1001_3\ ^13 + 768446318488570481570423/204595893540663142039122147*c_1001_3\ ^12 + 3702966254642606347568314/204595893540663142039122147*c_1001_\ 3^11 + 17304179846213575161546926/204595893540663142039122147*c_100\ 1_3^10 + 13252703690163214574258990/204595893540663142039122147*c_1\ 001_3^9 + 30763060977039489071653345/68198631180221047346374049*c_1\ 001_3^8 + 2070311953562953962749384/204595893540663142039122147*c_1\ 001_3^7 + 101927699508957385564112960/68198631180221047346374049*c_\ 1001_3^6 + 359657917886759125979895761/204595893540663142039122147*\ c_1001_3^5 - 14459595270064647481924850/204595893540663142039122147\ *c_1001_3^4 + 610231627006271969194354079/2045958935406631420391221\ 47*c_1001_3^3 + 48512841376464188402692660/889547363220274530604878\ 9*c_1001_3^2 - 152109088762976483476698530/681986311802210473463740\ 49*c_1001_3 + 1055080990259647642911136342/204595893540663142039122\ 147, c_0101_5 + 114410374848151220434996/204595893540663142039122147*c_1001_\ 3^13 + 476810242544331766585451/204595893540663142039122147*c_1001_\ 3^12 + 3748086006941829598409536/204595893540663142039122147*c_1001\ _3^11 + 8543241315056678986324949/204595893540663142039122147*c_100\ 1_3^10 + 19011684985159790763847649/204595893540663142039122147*c_1\ 001_3^9 + 17795985590794790700065487/68198631180221047346374049*c_1\ 001_3^8 + 47222661904080988702181060/204595893540663142039122147*c_\ 1001_3^7 + 87194670967484261838715326/68198631180221047346374049*c_\ 1001_3^6 + 219525551039956361532292226/204595893540663142039122147*\ c_1001_3^5 + 198037386230762236303853059/20459589354066314203912214\ 7*c_1001_3^4 + 731780539617593144213173502/204595893540663142039122\ 147*c_1001_3^3 + 27860234895085615382861251/88954736322027453060487\ 89*c_1001_3^2 + 22243053976175510075049220/681986311802210473463740\ 49*c_1001_3 + 986091915953027668656588577/2045958935406631420391221\ 47, c_0101_8 - 360762155816773131863506/204595893540663142039122147*c_1001_\ 3^13 - 527905207142415226075256/204595893540663142039122147*c_1001_\ 3^12 - 10463527629146149627608712/204595893540663142039122147*c_100\ 1_3^11 + 1688216315988890641894939/204595893540663142039122147*c_10\ 01_3^10 - 64572669397784356980683432/204595893540663142039122147*c_\ 1001_3^9 + 7814025764517489483284164/68198631180221047346374049*c_1\ 001_3^8 - 182641275135492712276692371/204595893540663142039122147*c\ _1001_3^7 - 65387171061311456564414957/68198631180221047346374049*c\ _1001_3^6 + 23931511075771686066693376/204595893540663142039122147*\ c_1001_3^5 - 364358209075500296224214953/20459589354066314203912214\ 7*c_1001_3^4 - 662872797446304305731426736/204595893540663142039122\ 147*c_1001_3^3 + 21237393034875860673254399/88954736322027453060487\ 89*c_1001_3^2 - 289068967696552164568733093/68198631180221047346374\ 049*c_1001_3 + 244134980727553040109549197/204595893540663142039122\ 147, c_1001_3^14 + c_1001_3^13 + 29*c_1001_3^12 - 17*c_1001_3^11 + 201*c_1001_3^10 - 146*c_1001_3^9 + 662*c_1001_3^8 + 322*c_1001_3^7 + 53*c_1001_3^6 + 1649*c_1001_3^5 + 1447*c_1001_3^4 - 1083*c_1001_3^3 + 4792*c_1001_3^2 - 2204*c_1001_3 + 2411 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB