Magma V2.19-8 Tue Aug 20 2013 17:57:04 on localhost [Seed = 1014859827] Type ? for help. Type -D to quit. Loading file "11_469__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_469 geometric_solution 10.06742545 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 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 -0.203707663268 0.624494103471 0 5 3 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 0.444854476530 1.219626467125 6 0 7 1 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 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300156800410 1.406922841655 8 8 1 0 0132 1230 1023 0132 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 1 0 -1 0 10 -9 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796292336732 0.624494103471 8 9 0 7 3120 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 -1 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 1.222427238265 0.609813233562 10 1 6 7 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109905696155 1.717163781802 2 10 11 5 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.609826689982 0.207363211499 5 11 4 2 3012 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455643637004 0.374247333852 3 9 3 4 0132 0321 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 0 0 0 -1 0 1 0 0 -1 0 1 -10 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222427238265 0.609813233562 11 4 11 8 0132 0132 3120 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 0 0 1 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689929386624 0.653534518809 5 6 10 10 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545915199928 0.291654781926 9 7 9 6 0132 3120 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 -1 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689929386624 0.653534518809 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : negation(d['c_1001_11']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0011_7'], '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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0011_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_1001_11']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_11']), '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'], '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' : 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_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_3'], '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_6'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 853015421235893615124/466002941816011357*c_1100_0^9 + 9941265201714090215789/466002941816011357*c_1100_0^8 - 10745722284472446283679/466002941816011357*c_1100_0^7 - 35490913080346362754233/932005883632022714*c_1100_0^6 + 11151209120663645705505/932005883632022714*c_1100_0^5 + 841295761404962852013/54823875507766042*c_1100_0^4 - 2321709042365861552703/932005883632022714*c_1100_0^3 - 1191002554474806468547/932005883632022714*c_1100_0^2 + 557497226407825668869/932005883632022714*c_1100_0 - 570095762549673447669/932005883632022714, c_0011_0 - 1, c_0011_11 - c_1100_0, c_0011_3 + 190423041048/60745464919*c_1100_0^9 + 2149452229926/60745464919*c_1100_0^8 - 3127174800578/60745464919*c_1100_0^7 - 2126307253742/60745464919*c_1100_0^6 + 1265129076820/60745464919*c_1100_0^5 + 234204644020/60745464919*c_1100_0^4 - 383820866554/60745464919*c_1100_0^3 + 205639573224/60745464919*c_1100_0^2 + 38026924430/60745464919*c_1100_0 - 33144684779/60745464919, c_0011_7 - 6420083520/60745464919*c_1100_0^9 - 68484138160/60745464919*c_1100_0^8 + 145216142984/60745464919*c_1100_0^7 - 44001999928/60745464919*c_1100_0^6 + 102236027887/60745464919*c_1100_0^5 + 56930595520/60745464919*c_1100_0^4 - 239492457194/60745464919*c_1100_0^3 - 14551246792/60745464919*c_1100_0^2 - 2059277201/60745464919*c_1100_0 - 1804526424/60745464919, c_0101_0 + 190423041048/60745464919*c_1100_0^9 + 2149452229926/60745464919*c_1100_0^8 - 3127174800578/60745464919*c_1100_0^7 - 2126307253742/60745464919*c_1100_0^6 + 1265129076820/60745464919*c_1100_0^5 + 234204644020/60745464919*c_1100_0^4 - 383820866554/60745464919*c_1100_0^3 + 205639573224/60745464919*c_1100_0^2 + 38026924430/60745464919*c_1100_0 - 33144684779/60745464919, c_0101_1 - 511438932000/60745464919*c_1100_0^9 - 5654183329488/60745464919*c_1100_0^8 + 9849519608566/60745464919*c_1100_0^7 + 5052247802994/60745464919*c_1100_0^6 - 5858313599646/60745464919*c_1100_0^5 - 2116152062700/60745464919*c_1100_0^4 + 1227776177148/60745464919*c_1100_0^3 - 106273757286/60745464919*c_1100_0^2 - 8175337444/60745464919*c_1100_0 + 88024285878/60745464919, c_0101_2 - 400793226672/60745464919*c_1100_0^9 - 4473752818324/60745464919*c_1100_0^8 + 7202713226874/60745464919*c_1100_0^7 + 4305538842774/60745464919*c_1100_0^6 - 3428282358754/60745464919*c_1100_0^5 - 1783872769800/60745464919*c_1100_0^4 + 613639535247/60745464919*c_1100_0^3 - 36235943074/60745464919*c_1100_0^2 - 31523484964/60745464919*c_1100_0 + 49657007498/60745464919, c_0101_3 - 511438932000/60745464919*c_1100_0^9 - 5654183329488/60745464919*c_1100_0^8 + 9849519608566/60745464919*c_1100_0^7 + 5052247802994/60745464919*c_1100_0^6 - 5858313599646/60745464919*c_1100_0^5 - 2116152062700/60745464919*c_1100_0^4 + 1227776177148/60745464919*c_1100_0^3 - 106273757286/60745464919*c_1100_0^2 + 52570127475/60745464919*c_1100_0 + 88024285878/60745464919, c_0101_5 - 230440043088/60745464919*c_1100_0^9 - 2543505124500/60745464919*c_1100_0^8 + 4413001235672/60745464919*c_1100_0^7 + 1391383125563/60745464919*c_1100_0^6 - 1670377975376/60745464919*c_1100_0^5 - 111070832583/60745464919*c_1100_0^4 + 444229934808/60745464919*c_1100_0^3 - 83092249666/60745464919*c_1100_0^2 - 5707874332/60745464919*c_1100_0 - 3702076211/60745464919, c_0101_6 - 79561258464/60745464919*c_1100_0^9 - 923501529640/60745464919*c_1100_0^8 + 1026478172428/60745464919*c_1100_0^7 + 1387911240904/60745464919*c_1100_0^6 - 326651117480/60745464919*c_1100_0^5 - 439512690128/60745464919*c_1100_0^4 + 63412178732/60745464919*c_1100_0^3 + 104080731587/60745464919*c_1100_0^2 - 7377450448/60745464919*c_1100_0 + 9475226221/60745464919, c_1001_11 - 110645705328/60745464919*c_1100_0^9 - 1180430511164/60745464919*c_1100_0^8 + 2646806381692/60745464919*c_1100_0^7 + 746708960220/60745464919*c_1100_0^6 - 2430031240892/60745464919*c_1100_0^5 - 332279292900/60745464919*c_1100_0^4 + 614136641901/60745464919*c_1100_0^3 - 70037814212/60745464919*c_1100_0^2 - 98142782318/60745464919*c_1100_0 + 38367278380/60745464919, c_1100_0^10 + 139/12*c_1100_0^9 - 53/4*c_1100_0^8 - 18*c_1100_0^7 + 55/12*c_1100_0^6 + 29/4*c_1100_0^5 - 13/12*c_1100_0^4 - 2/3*c_1100_0^3 + 1/3*c_1100_0^2 - 1/12*c_1100_0 - 1/12 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 8588974754010548268224877214/62862968688673373225540073*c_1100_0^17 - 20335066038570925877634112229/20954322896224457741846691*c_1100_0\ ^16 - 109870780853727840614089831385/62862968688673373225540073*c_1\ 100_0^15 + 40806719602610018731944851384/20954322896224457741846691\ *c_1100_0^14 + 40197806249560818068621920477/8980424098381910460791\ 439*c_1100_0^13 - 109258261643489405355294749375/698477429874148591\ 3948897*c_1100_0^12 - 269967090511192307554005214352/57148153353339\ 43020503643*c_1100_0^11 - 1266961148436588031614121198867/628629686\ 88673373225540073*c_1100_0^10 + 22255921054583132155107484222/99782\ 4899820212273421271*c_1100_0^9 - 668994530674781371324022430520/628\ 62968688673373225540073*c_1100_0^8 - 4123314538814437525688082574219/62862968688673373225540073*c_1100_0\ ^7 - 2750709313759118042979381341737/62862968688673373225540073*c_1\ 100_0^6 - 318893386420142916221949315610/8980424098381910460791439*\ c_1100_0^5 - 162347081372252628820067331812/89804240983819104607914\ 39*c_1100_0^4 - 937623079367118839176142396056/62862968688673373225\ 540073*c_1100_0^3 - 30419840814568531913565570373/20954322896224457\ 741846691*c_1100_0^2 - 10783228361127671185647440773/62862968688673\ 373225540073*c_1100_0 + 13201331568894560954318192335/2095432289622\ 4457741846691, c_0011_0 - 1, c_0011_11 + 211602818980865277581/728713648404039149127*c_1100_0^17 + 1527866524292088690157/728713648404039149127*c_1100_0^16 + 2895274817701897339774/728713648404039149127*c_1100_0^15 - 2619482511808779128413/728713648404039149127*c_1100_0^14 - 7167754512683415544442/728713648404039149127*c_1100_0^13 + 23195183736586562415266/728713648404039149127*c_1100_0^12 + 75689191067317353381674/728713648404039149127*c_1100_0^11 + 1528806421297605371553/26989394385334783301*c_1100_0^10 - 27294789587468268034382/728713648404039149127*c_1100_0^9 + 12752398411740569496875/728713648404039149127*c_1100_0^8 + 33634020247739292131162/242904549468013049709*c_1100_0^7 + 27099682746948375300692/242904549468013049709*c_1100_0^6 + 7664649671387814198845/80968183156004349903*c_1100_0^5 + 36535895241189588354446/728713648404039149127*c_1100_0^4 + 27405536692414030048042/728713648404039149127*c_1100_0^3 + 5396704038805388304913/728713648404039149127*c_1100_0^2 + 2665903097913699839780/728713648404039149127*c_1100_0 - 1036385623791882882851/728713648404039149127, c_0011_3 + 140556730606439282486/728713648404039149127*c_1100_0^17 + 1041378958101439805647/728713648404039149127*c_1100_0^16 + 2097328486283780505865/728713648404039149127*c_1100_0^15 - 1505374084607306741476/728713648404039149127*c_1100_0^14 - 5343447064599417572432/728713648404039149127*c_1100_0^13 + 14732597845225810703228/728713648404039149127*c_1100_0^12 + 53919407386889143330847/728713648404039149127*c_1100_0^11 + 11662879076957944625047/242904549468013049709*c_1100_0^10 - 19849016506433898777323/728713648404039149127*c_1100_0^9 + 1406494598436780177554/728713648404039149127*c_1100_0^8 + 8133185901244628579507/80968183156004349903*c_1100_0^7 + 7430005740590247037532/80968183156004349903*c_1100_0^6 + 15051853032869888314960/242904549468013049709*c_1100_0^5 + 24972174316977438173801/728713648404039149127*c_1100_0^4 + 20428903825218666171064/728713648404039149127*c_1100_0^3 + 4939477219487671116712/728713648404039149127*c_1100_0^2 + 370776798200537657789/728713648404039149127*c_1100_0 - 1204307538132201352691/728713648404039149127, c_0011_7 - 19481423892859972454/242904549468013049709*c_1100_0^17 - 149783203016310156272/242904549468013049709*c_1100_0^16 - 325373214774248455129/242904549468013049709*c_1100_0^15 + 163993050661903995941/242904549468013049709*c_1100_0^14 + 845811040372951908992/242904549468013049709*c_1100_0^13 - 1958484156349691153764/242904549468013049709*c_1100_0^12 - 8162433347746446181118/242904549468013049709*c_1100_0^11 - 6156353343661828985437/242904549468013049709*c_1100_0^10 + 2902608183171424934527/242904549468013049709*c_1100_0^9 + 134812899629507992558/242904549468013049709*c_1100_0^8 - 11384768256968279359414/242904549468013049709*c_1100_0^7 - 10485937680945114428770/242904549468013049709*c_1100_0^6 - 6209822143705570696897/242904549468013049709*c_1100_0^5 - 1823682895963953625771/80968183156004349903*c_1100_0^4 - 1179510960333045774680/80968183156004349903*c_1100_0^3 - 787356794719361831330/242904549468013049709*c_1100_0^2 + 441964500623944993096/242904549468013049709*c_1100_0 + 64746433026951848968/242904549468013049709, c_0101_0 - 140556730606439282486/728713648404039149127*c_1100_0^17 - 1041378958101439805647/728713648404039149127*c_1100_0^16 - 2097328486283780505865/728713648404039149127*c_1100_0^15 + 1505374084607306741476/728713648404039149127*c_1100_0^14 + 5343447064599417572432/728713648404039149127*c_1100_0^13 - 14732597845225810703228/728713648404039149127*c_1100_0^12 - 53919407386889143330847/728713648404039149127*c_1100_0^11 - 11662879076957944625047/242904549468013049709*c_1100_0^10 + 19849016506433898777323/728713648404039149127*c_1100_0^9 - 1406494598436780177554/728713648404039149127*c_1100_0^8 - 8133185901244628579507/80968183156004349903*c_1100_0^7 - 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88*c_1100_0^4 - 9*c_1100_0^3 - c_1100_0^2 - 5*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.920 Total time: 1.120 seconds, Total memory usage: 32.09MB