/* Data is in the following format Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0. [polynomial, degree, t-number of Galois group, signature [r,s], discriminant, list of ramifying primes, integral basis as polynomials in a, 1 if it is a cm field otherwise 0, class number, class group structure, 1 if grh was assumed and 0 if not, fundamental units, regulator, list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial] ] */ [x^27 - 5*x^26 + 4*x^25 - 53*x^24 + 12*x^23 - 178*x^22 + 281*x^21 - 251*x^20 + 1170*x^19 - 548*x^18 + 1924*x^17 - 3164*x^16 + 1182*x^15 - 5392*x^14 + 2732*x^13 - 5123*x^12 + 7843*x^11 + 5402*x^10 + 11272*x^9 - 9146*x^8 - 13685*x^7 - 8959*x^6 + 8451*x^5 + 8381*x^4 + 1087*x^3 - 2808*x^2 - 714*x - 59, 27, 8, [1, 13], -536750065653068684465204465961269314591399079, [31, 89], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, 1/31*a^15 + 4/31*a^12 - 13/31*a^9 - 10/31*a^6 + 9/31*a^3 + 15/31, 1/31*a^16 + 4/31*a^13 - 13/31*a^10 - 10/31*a^7 + 9/31*a^4 + 15/31*a, 1/31*a^17 + 4/31*a^14 - 13/31*a^11 - 10/31*a^8 + 9/31*a^5 + 15/31*a^2, 1/31*a^18 + 2/31*a^12 + 11/31*a^9 - 13/31*a^6 + 10/31*a^3 + 2/31, 1/217*a^19 - 1/217*a^18 + 3/217*a^17 + 3/217*a^16 + 3/217*a^15 + 15/31*a^14 - 79/217*a^13 - 3/31*a^12 + 85/217*a^11 - 4/31*a^10 - 19/217*a^9 + 32/217*a^8 - 74/217*a^7 + 107/217*a^6 - 66/217*a^5 - 87/217*a^4 + 48/217*a^3 + 2/31*a^2 - 11/31*a - 19/217, 1/217*a^20 + 2/217*a^18 - 1/217*a^17 - 1/217*a^16 + 3/217*a^15 - 2/217*a^14 + 89/217*a^13 + 78/217*a^12 - 69/217*a^11 + 44/217*a^10 + 76/217*a^9 + 4/31*a^8 + 103/217*a^7 + 6/217*a^6 + 1/217*a^5 - 102/217*a^4 - 15/217*a^3 + 7/31*a^2 + 16/217*a - 75/217, 1/217*a^21 + 1/217*a^18 - 3/217*a^16 - 1/217*a^15 - 3/7*a^14 + 19/217*a^13 + 1/217*a^12 - 85/217*a^10 - 25/217*a^9 - 1/7*a^8 - 9/31*a^7 - 66/217*a^6 + 3/7*a^5 - 58/217*a^4 + 16/217*a^3 + 3/7*a^2 + 79/217*a - 74/217, 1/2387*a^22 - 2/2387*a^21 - 3/2387*a^20 + 5/2387*a^19 - 12/2387*a^18 - 23/2387*a^17 + 20/2387*a^16 + 24/2387*a^15 + 274/2387*a^14 - 13/77*a^13 + 345/2387*a^12 + 162/341*a^11 - 967/2387*a^10 - 439/2387*a^9 - 1126/2387*a^8 - 328/2387*a^7 - 51/2387*a^6 - 118/341*a^5 - 127/2387*a^4 - 864/2387*a^3 - 46/217*a^2 - 115/341*a - 410/2387, 1/40579*a^23 - 4/40579*a^22 - 87/40579*a^21 - 1/3689*a^20 + 4/3689*a^19 + 342/40579*a^18 - 16/3689*a^17 + 160/40579*a^16 - 632/40579*a^15 + 9972/40579*a^14 - 2639/5797*a^13 - 1206/40579*a^12 - 16358/40579*a^11 + 10163/40579*a^10 - 4901/40579*a^9 + 493/2387*a^8 + 120/527*a^7 + 8626/40579*a^6 - 12808/40579*a^5 + 17320/40579*a^4 - 5774/40579*a^3 - 19835/40579*a^2 + 811/5797*a + 653/5797, 1/771001*a^24 - 4/771001*a^23 + 134/771001*a^22 + 1604/771001*a^21 + 316/771001*a^20 - 797/771001*a^19 + 9888/771001*a^18 + 8354/771001*a^17 - 10050/771001*a^16 + 11910/771001*a^15 + 184014/771001*a^14 - 34169/771001*a^13 + 246139/771001*a^12 + 8951/70091*a^11 + 35151/771001*a^10 + 51/133*a^9 + 374876/771001*a^8 - 48126/110143*a^7 + 20438/70091*a^6 - 1601/771001*a^5 - 3028/24871*a^4 - 251171/771001*a^3 - 16669/40579*a^2 + 9634/24871*a + 18210/45353, 1/137837245777*a^25 - 86907/137837245777*a^24 - 144255/19691035111*a^23 - 27498974/137837245777*a^22 - 147248501/137837245777*a^21 - 122126111/137837245777*a^20 + 14022163/137837245777*a^19 + 78172981/19691035111*a^18 + 496248595/137837245777*a^17 - 16920363/7254591883*a^16 + 952567821/137837245777*a^15 + 23816274232/137837245777*a^14 + 32333378926/137837245777*a^13 - 603231661/1790094101*a^12 - 34528413812/137837245777*a^11 - 3840864464/8108073281*a^10 - 19883354167/137837245777*a^9 + 33935570679/137837245777*a^8 - 49308752431/137837245777*a^7 - 7312102130/19691035111*a^6 - 48823855746/137837245777*a^5 - 5829773240/12530658707*a^4 + 50597300151/137837245777*a^3 + 14604794346/137837245777*a^2 - 1049494557/12530658707*a - 4065376829/137837245777, 1/1585266163681277*a^26 - 3280/1585266163681277*a^25 + 7051370/13321564400683*a^24 + 16866953281/1585266163681277*a^23 + 191510935218/1585266163681277*a^22 + 263406651070/144115105789207*a^21 - 2534350127877/1585266163681277*a^20 - 404390307374/226466594811611*a^19 - 10310109893558/1585266163681277*a^18 - 175170528437/29910682333609*a^17 + 17965909179615/1585266163681277*a^16 - 2658016675610/1585266163681277*a^15 - 389160668977601/1585266163681277*a^14 - 299290271040283/1585266163681277*a^13 - 10434033243831/51137618183267*a^12 - 306126668099282/1585266163681277*a^11 - 705478879913429/1585266163681277*a^10 + 503770391038424/1585266163681277*a^9 + 350565412266371/1585266163681277*a^8 + 300916872985796/1585266163681277*a^7 + 159828196069154/1585266163681277*a^6 - 64432160461195/1585266163681277*a^5 + 112282182918900/226466594811611*a^4 - 64232845972748/1585266163681277*a^3 - 516009400955086/1585266163681277*a^2 + 786210705043347/1585266163681277*a - 757029289669797/1585266163681277], 0, 1, [], 1, [ (941737457902)/(1585266163681277)*a^(26) + (3237787039713)/(1585266163681277)*a^(25) - (575308863117)/(20587872255601)*a^(24) + (27366391026487)/(1585266163681277)*a^(23) - (27205881194274)/(93250950804781)*a^(22) + (383134173231300)/(1585266163681277)*a^(21) - (75753027973191)/(83435061246383)*a^(20) + (502372239624466)/(226466594811611)*a^(19) - (3784702620974349)/(1585266163681277)*a^(18) + (223945008172075)/(29910682333609)*a^(17) - (12864452972690080)/(1585266163681277)*a^(16) + (259721140930164)/(20066660299763)*a^(15) - (41246903251076315)/(1585266163681277)*a^(14) + (35244445280020122)/(1585266163681277)*a^(13) - (1917239151261024)/(51137618183267)*a^(12) + (61809652882168955)/(1585266163681277)*a^(11) - (67082903310024270)/(1585266163681277)*a^(10) + (112904348057220122)/(1585266163681277)*a^(9) - (1690726617862073)/(144115105789207)*a^(8) + (2743274365745964)/(83435061246383)*a^(7) - (143199356488792613)/(1585266163681277)*a^(6) - (26921635062071735)/(1585266163681277)*a^(5) + (2501305767658465)/(226466594811611)*a^(4) + (84906830725812521)/(1585266163681277)*a^(3) + (5142599929368291)/(1585266163681277)*a^(2) - (26336957163560223)/(1585266163681277)*a - (4009820173299134)/(1585266163681277) , (2811321192216)/(1585266163681277)*a^(26) - (9059423760855)/(1585266163681277)*a^(25) - (1404351314)/(443183160101)*a^(24) - (164635554393393)/(1585266163681277)*a^(23) - (224723594816261)/(1585266163681277)*a^(22) - (909776225589199)/(1585266163681277)*a^(21) - (40014463260068)/(144115105789207)*a^(20) - (17626910655306)/(20587872255601)*a^(19) + (2262019946256579)/(1585266163681277)*a^(18) + (28301002917464)/(29910682333609)*a^(17) + (891877511287904)/(144115105789207)*a^(16) + (2226336045882288)/(1585266163681277)*a^(15) + (7641907441800659)/(1585266163681277)*a^(14) - (14082991044284705)/(1585266163681277)*a^(13) - (226361231195622)/(51137618183267)*a^(12) - (32786979176851490)/(1585266163681277)*a^(11) - (1192565545718950)/(144115105789207)*a^(10) - (6173606724887838)/(1585266163681277)*a^(9) + (54295470631092654)/(1585266163681277)*a^(8) + (53756555599467104)/(1585266163681277)*a^(7) + (18560178100870741)/(1585266163681277)*a^(6) - (47962998114874867)/(1585266163681277)*a^(5) - (5967316737677941)/(226466594811611)*a^(4) - (417120854756481)/(144115105789207)*a^(3) + (20242602250912075)/(1585266163681277)*a^(2) + (5083687561441735)/(1585266163681277)*a + (379748814463488)/(1585266163681277) , (7881178484119)/(1585266163681277)*a^(26) - (37655720341083)/(1585266163681277)*a^(25) + (3375442536608)/(226466594811611)*a^(24) - (415308362848804)/(1585266163681277)*a^(23) + (5267652873997)/(1585266163681277)*a^(22) - (129309047341087)/(144115105789207)*a^(21) + (113579584833196)/(93250950804781)*a^(20) - (221398305148228)/(226466594811611)*a^(19) + (9188834915792045)/(1585266163681277)*a^(18) - (39383341673353)/(29910682333609)*a^(17) + (15579297190748110)/(1585266163681277)*a^(16) - (21498314179129815)/(1585266163681277)*a^(15) + (4932791803021374)/(1585266163681277)*a^(14) - (44109363218106768)/(1585266163681277)*a^(13) + (320144206232869)/(51137618183267)*a^(12) - (42791598040895003)/(1585266163681277)*a^(11) + (51571483862647031)/(1585266163681277)*a^(10) + (52688649535008708)/(1585266163681277)*a^(9) + (108233035602184286)/(1585266163681277)*a^(8) - (3477176075365080)/(144115105789207)*a^(7) - (106597887919072692)/(1585266163681277)*a^(6) - (98898961104149737)/(1585266163681277)*a^(5) + (4556902952283240)/(226466594811611)*a^(4) + (61392872475394914)/(1585266163681277)*a^(3) + (21116982889298420)/(1585266163681277)*a^(2) - (12640165628721223)/(1585266163681277)*a - (249282462290068)/(93250950804781) , (19839626221445)/(1585266163681277)*a^(26) - (100899653509250)/(1585266163681277)*a^(25) + (12576948566202)/(226466594811611)*a^(24) - (62137734008264)/(93250950804781)*a^(23) + (318591913301335)/(1585266163681277)*a^(22) - (3569354743551825)/(1585266163681277)*a^(21) + (5754187156223350)/(1585266163681277)*a^(20) - (115842124768963)/(32352370687373)*a^(19) + (15485423736037)/(1056140015777)*a^(18) - (245523347302412)/(29910682333609)*a^(17) + (2314667312210408)/(93250950804781)*a^(16) - (886561751566028)/(21715974844949)*a^(15) + (31740644735045310)/(1585266163681277)*a^(14) - (106471683816523658)/(1585266163681277)*a^(13) + (26177365713582)/(647311622573)*a^(12) - (6528686721074797)/(93250950804781)*a^(11) + (160405589937536995)/(1585266163681277)*a^(10) + (82838109881398765)/(1585266163681277)*a^(9) + (205523878154029591)/(1585266163681277)*a^(8) - (202697841531047967)/(1585266163681277)*a^(7) - (228372642537563187)/(1585266163681277)*a^(6) - (7522601269452471)/(93250950804781)*a^(5) + (1553625114124505)/(13321564400683)*a^(4) + (126410586900745942)/(1585266163681277)*a^(3) - (393702664031553)/(93250950804781)*a^(2) - (5064561916509391)/(144115105789207)*a - (418762649640232)/(144115105789207) , (11328610014508)/(93250950804781)*a^(26) - (991624514264161)/(1585266163681277)*a^(25) + (1103016524287)/(1903080628669)*a^(24) - (10348414632916389)/(1585266163681277)*a^(23) + (3860678920126947)/(1585266163681277)*a^(22) - (34901345378864150)/(1585266163681277)*a^(21) + (59369212101965309)/(1585266163681277)*a^(20) - (8197084293726298)/(226466594811611)*a^(19) + (234200229115169375)/(1585266163681277)*a^(18) - (2662394754200367)/(29910682333609)*a^(17) + (35704478024654921)/(144115105789207)*a^(16) - (35247788395074512)/(83435061246383)*a^(15) + (30042850372258607)/(144115105789207)*a^(14) - (1092207997880769367)/(1585266163681277)*a^(13) + (22442230158139321)/(51137618183267)*a^(12) - (57792168740931595)/(83435061246383)*a^(11) + (99087086799590704)/(93250950804781)*a^(10) + (775848450304001947)/(1585266163681277)*a^(9) + (188219586256937442)/(144115105789207)*a^(8) - (189441799408537758)/(144115105789207)*a^(7) - (2313974109314455741)/(1585266163681277)*a^(6) - (1399039609537758920)/(1585266163681277)*a^(5) + (264409312629015349)/(226466594811611)*a^(4) + (1338772433020270630)/(1585266163681277)*a^(3) + (16283012072311251)/(1585266163681277)*a^(2) - (553527253974499162)/(1585266163681277)*a - (56479587864356364)/(1585266163681277) , (1651083445108)/(1585266163681277)*a^(26) - (8985500125906)/(1585266163681277)*a^(25) + (1944197150102)/(226466594811611)*a^(24) - (105060273185493)/(1585266163681277)*a^(23) + (64347733568432)/(1585266163681277)*a^(22) - (480866002595564)/(1585266163681277)*a^(21) + (505810255359179)/(1585266163681277)*a^(20) - (193033295160308)/(226466594811611)*a^(19) + (2359586449900700)/(1585266163681277)*a^(18) - (53001473673111)/(29910682333609)*a^(17) + (6303453004516740)/(1585266163681277)*a^(16) - (6546856824650434)/(1585266163681277)*a^(15) + (11041914489311996)/(1585266163681277)*a^(14) - (1133918087535979)/(144115105789207)*a^(13) + (405374735242786)/(51137618183267)*a^(12) - (20221159530535185)/(1585266163681277)*a^(11) + (13623467104566633)/(1585266163681277)*a^(10) - (13736566012082829)/(1585266163681277)*a^(9) + (1171589256441616)/(144115105789207)*a^(8) - (8945034897251226)/(1585266163681277)*a^(7) + (8761408929082624)/(1585266163681277)*a^(6) + (6180210804558191)/(1585266163681277)*a^(5) + (422379343971160)/(226466594811611)*a^(4) - (3262843584772)/(1142946044471)*a^(3) - (7123963182292751)/(1585266163681277)*a^(2) + (1912240915810089)/(1585266163681277)*a + (1473284990680647)/(1585266163681277) , (7070799770644)/(1585266163681277)*a^(26) - (33782793003831)/(1585266163681277)*a^(25) + (4563991080433)/(226466594811611)*a^(24) - (421837374860724)/(1585266163681277)*a^(23) + (21561008962235)/(1585266163681277)*a^(22) - (1792983208464527)/(1585266163681277)*a^(21) + (138524604540740)/(144115105789207)*a^(20) - (432454196711798)/(226466594811611)*a^(19) + (9554010681336864)/(1585266163681277)*a^(18) - (55037645954629)/(29910682333609)*a^(17) + (21676905779239184)/(1585266163681277)*a^(16) - (1508742427276620)/(144115105789207)*a^(15) + (16032819738730771)/(1585266163681277)*a^(14) - (2638261271802416)/(83435061246383)*a^(13) + (83945195523601)/(51137618183267)*a^(12) - (59827737406755852)/(1585266163681277)*a^(11) + (27930705396271406)/(1585266163681277)*a^(10) + (20630409944329751)/(1585266163681277)*a^(9) + (115815072373542991)/(1585266163681277)*a^(8) + (55680835379120165)/(1585266163681277)*a^(7) - (23359220900047980)/(1585266163681277)*a^(6) - (123670347432262794)/(1585266163681277)*a^(5) - (10054611232742172)/(226466594811611)*a^(4) + (17332977368831161)/(1585266163681277)*a^(3) + (41946922770201362)/(1585266163681277)*a^(2) + (878851533054214)/(144115105789207)*a + (784026524339243)/(1585266163681277) , (387649519911)/(226466594811611)*a^(26) - (338437623312)/(32352370687373)*a^(25) + (3656109288780)/(226466594811611)*a^(24) - (113959067923)/(1211051309153)*a^(23) + (1212701303837)/(11919294463769)*a^(22) - (65634724251842)/(226466594811611)*a^(21) + (147351965692157)/(226466594811611)*a^(20) - (176130725738571)/(226466594811611)*a^(19) + (62740605946770)/(32352370687373)*a^(18) - (8899943346947)/(4272954619087)*a^(17) + (96098976355298)/(32352370687373)*a^(16) - (1337990918441432)/(226466594811611)*a^(15) + (1128468804340250)/(226466594811611)*a^(14) - (1538611864688977)/(226466594811611)*a^(13) + (47056851629538)/(7305374026181)*a^(12) - (152953310495372)/(20587872255601)*a^(11) + (3285809586477104)/(226466594811611)*a^(10) + (66940469602268)/(226466594811611)*a^(9) + (79425036808827)/(226466594811611)*a^(8) - (644840458520392)/(32352370687373)*a^(7) + (321991649026401)/(226466594811611)*a^(6) + (1604227345356600)/(226466594811611)*a^(5) + (1745278295571387)/(226466594811611)*a^(4) - (11684086382743)/(3102282120707)*a^(3) - (403100232134196)/(226466594811611)*a^(2) + (51142496738202)/(226466594811611)*a + (4722662319220)/(226466594811611) , (20422861747375)/(1585266163681277)*a^(26) - (110047792355961)/(1585266163681277)*a^(25) + (17193189647995)/(226466594811611)*a^(24) - (1105474044672660)/(1585266163681277)*a^(23) + (635038086253210)/(1585266163681277)*a^(22) - (3619610014017703)/(1585266163681277)*a^(21) + (6898251962803688)/(1585266163681277)*a^(20) - (950866402134686)/(226466594811611)*a^(19) + (313484039379607)/(20066660299763)*a^(18) - (327334189731828)/(29910682333609)*a^(17) + (39207207093401964)/(1585266163681277)*a^(16) - (71307300698465173)/(1585266163681277)*a^(15) + (35358013818950135)/(1585266163681277)*a^(14) - (102341978484756634)/(1585266163681277)*a^(13) + (27024136176165)/(647311622573)*a^(12) - (8475272196084013)/(144115105789207)*a^(11) + (159177934147651667)/(1585266163681277)*a^(10) + (100501748986581506)/(1585266163681277)*a^(9) + (13054080622696616)/(144115105789207)*a^(8) - (212630217950356880)/(1585266163681277)*a^(7) - (3124393737871507)/(21715974844949)*a^(6) - (62262429933292322)/(1585266163681277)*a^(5) + (3694601859574342)/(32352370687373)*a^(4) + (92645519066357634)/(1585266163681277)*a^(3) - (17886320700379665)/(1585266163681277)*a^(2) - (37428225047227537)/(1585266163681277)*a - (1605535124912234)/(1585266163681277) , (49964740948845)/(1585266163681277)*a^(26) - (256705620910873)/(1585266163681277)*a^(25) + (33862235634410)/(226466594811611)*a^(24) - (2692044359106383)/(1585266163681277)*a^(23) + (89658185494770)/(144115105789207)*a^(22) - (9120393214865195)/(1585266163681277)*a^(21) + (15403883698641002)/(1585266163681277)*a^(20) - (1711052355695)/(182487183571)*a^(19) + (61240099060604305)/(1585266163681277)*a^(18) - (683918789583838)/(29910682333609)*a^(17) + (9366998627312864)/(144115105789207)*a^(16) - (173802469618835152)/(1585266163681277)*a^(15) + (84750246733828663)/(1585266163681277)*a^(14) - (15100867779383675)/(83435061246383)*a^(13) + (5737708803251402)/(51137618183267)*a^(12) - (285694039833330321)/(1585266163681277)*a^(11) + (433662929157115555)/(1585266163681277)*a^(10) + (207420287049220824)/(1585266163681277)*a^(9) + (32239989539219549)/(93250950804781)*a^(8) - (521404604316752281)/(1585266163681277)*a^(7) - (617232640692173617)/(1585266163681277)*a^(6) - (382304552592813603)/(1585266163681277)*a^(5) + (66816291851761029)/(226466594811611)*a^(4) + (19363976214775330)/(83435061246383)*a^(3) + (10453955028234558)/(1585266163681277)*a^(2) - (145667823623692819)/(1585266163681277)*a - (17582639505916493)/(1585266163681277) , (4457383421297)/(1585266163681277)*a^(26) - (23087097947110)/(1585266163681277)*a^(25) + (2891733257387)/(226466594811611)*a^(24) - (233425524437890)/(1585266163681277)*a^(23) + (93778538039643)/(1585266163681277)*a^(22) - (706492791750344)/(1585266163681277)*a^(21) + (1483867187493983)/(1585266163681277)*a^(20) - (114712748884716)/(226466594811611)*a^(19) + (5633707175132780)/(1585266163681277)*a^(18) - (42676142590890)/(29910682333609)*a^(17) + (7903379240546422)/(1585266163681277)*a^(16) - (1430141163969736)/(144115105789207)*a^(15) + (1874610905055183)/(1585266163681277)*a^(14) - (27098809110712125)/(1585266163681277)*a^(13) + (258324296050553)/(51137618183267)*a^(12) - (21206095427828994)/(1585266163681277)*a^(11) + (39423487201947746)/(1585266163681277)*a^(10) + (36976708138424542)/(1585266163681277)*a^(9) + (58197721519395243)/(1585266163681277)*a^(8) - (31703903676042702)/(1585266163681277)*a^(7) - (62952248776431433)/(1585266163681277)*a^(6) - (46140468773120593)/(1585266163681277)*a^(5) + (159957815547785)/(13321564400683)*a^(4) + (28568965377413465)/(1585266163681277)*a^(3) + (5842689673602069)/(1585266163681277)*a^(2) - (1561500707744034)/(1585266163681277)*a - (87755957282652)/(1585266163681277) , (34400511259)/(4272954619087)*a^(26) - (16162399220)/(388450419917)*a^(25) + (182453862807)/(4272954619087)*a^(24) - (1927181169645)/(4272954619087)*a^(23) + (10346441021)/(55492917131)*a^(22) - (641830402043)/(388450419917)*a^(21) + (1554477482315)/(610422088441)*a^(20) - (13446900893172)/(4272954619087)*a^(19) + (45330682482854)/(4272954619087)*a^(18) - (4485416520852)/(610422088441)*a^(17) + (12258648803304)/(610422088441)*a^(16) - (128385192149554)/(4272954619087)*a^(15) + (90788553236655)/(4272954619087)*a^(14) - (32425564991519)/(610422088441)*a^(13) + (4931164876131)/(137837245777)*a^(12) - (251145084431551)/(4272954619087)*a^(11) + (28644493535697)/(388450419917)*a^(10) + (68310587913940)/(4272954619087)*a^(9) + (405549479584223)/(4272954619087)*a^(8) - (310165416110855)/(4272954619087)*a^(7) - (339684847331556)/(4272954619087)*a^(6) - (273022009808367)/(4272954619087)*a^(5) + (251006988895966)/(4272954619087)*a^(4) + (705576049056)/(13228961669)*a^(3) + (4457929520393)/(610422088441)*a^(2) - (4756533361577)/(224892348373)*a - (15008836606224)/(4272954619087) , (2020224616994)/(226466594811611)*a^(26) - (10963211733636)/(226466594811611)*a^(25) + (11942575469985)/(226466594811611)*a^(24) - (108547020622455)/(226466594811611)*a^(23) + (69200343805267)/(226466594811611)*a^(22) - (346279314878256)/(226466594811611)*a^(21) + (43032950307653)/(13321564400683)*a^(20) - (660399888739975)/(226466594811611)*a^(19) + (2526146749931080)/(226466594811611)*a^(18) - (38486231650710)/(4272954619087)*a^(17) + (3917742626593405)/(226466594811611)*a^(16) - (3619050904987)/(100162138351)*a^(15) + (4235828419433857)/(226466594811611)*a^(14) - (11415037638346525)/(226466594811611)*a^(13) + (29949421744888)/(664124911471)*a^(12) - (562231210994821)/(11919294463769)*a^(11) + (3049236837833022)/(32352370687373)*a^(10) + (929222922866625)/(32352370687373)*a^(9) + (13013760844960)/(168627397477)*a^(8) - (31617249750098960)/(226466594811611)*a^(7) - (26155575880423926)/(226466594811611)*a^(6) - (840494946570277)/(20587872255601)*a^(5) + (28275130119468234)/(226466594811611)*a^(4) + (15964483205438112)/(226466594811611)*a^(3) - (1735022638472909)/(226466594811611)*a^(2) - (434954686119209)/(11919294463769)*a - (65946983850564)/(32352370687373) ], 438273503820.3111, [[x^3 - x^2 + 4*x - 11, 1], [x^9 - 3*x^8 + 8*x^7 - 32*x^6 + 59*x^5 - 86*x^4 + 158*x^3 - 102*x^2 - 21*x + 67, 1]]]