/* 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^25 - 3*x^24 + x^23 - 15*x^22 + 13*x^21 - 5*x^20 + 130*x^19 - 132*x^18 - 21*x^17 + 437*x^16 - 1713*x^15 + 747*x^14 + 4817*x^13 - 3107*x^12 - 7887*x^11 + 4826*x^10 + 5380*x^9 - 3452*x^8 + 864*x^7 - 1052*x^6 + 266*x^5 - 67*x^4 + 75*x^3 - 10*x^2 + 9*x - 1, 25, 3, [5, 10], 30047562514932432943626078739673704593849, [3, 61], [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, a^15, a^16, a^17, a^18, a^19, 1/7*a^20 - 2/7*a^19 + 2/7*a^18 + 1/7*a^17 + 3/7*a^16 + 3/7*a^15 + 3/7*a^14 - 1/7*a^12 + 1/7*a^11 + 2/7*a^10 - 3/7*a^8 - 3/7*a^7 + 2/7*a^6 + 1/7*a^5 + 1/7*a^4 - 1/7*a^3 - 2/7*a^2 + 3/7*a + 1/7, 1/7*a^21 - 2/7*a^19 - 2/7*a^18 - 2/7*a^17 + 2/7*a^16 + 2/7*a^15 - 1/7*a^14 - 1/7*a^13 - 1/7*a^12 - 3/7*a^11 - 3/7*a^10 - 3/7*a^9 - 2/7*a^8 + 3/7*a^7 - 2/7*a^6 + 3/7*a^5 + 1/7*a^4 + 3/7*a^3 - 1/7*a^2 + 2/7, 1/77*a^22 + 5/77*a^21 - 1/77*a^20 - 1/11*a^19 + 18/77*a^18 - 5/11*a^17 - 13/77*a^16 + 3/7*a^15 + 18/77*a^14 + 8/77*a^13 + 26/77*a^12 - 10/77*a^11 + 19/77*a^10 - 3/77*a^9 - 24/77*a^8 - 32/77*a^7 + 9/77*a^6 + 31/77*a^5 - 19/77*a^4 + 34/77*a^3 - 1/11*a^2 - 37/77*a - 31/77, 1/104951*a^23 + 71/104951*a^22 - 1002/104951*a^21 - 39/2233*a^20 + 20830/104951*a^19 + 49729/104951*a^18 - 5725/14993*a^17 + 31/203*a^16 + 39222/104951*a^15 - 27162/104951*a^14 + 50703/104951*a^13 - 15762/104951*a^12 + 758/2233*a^11 + 20589/104951*a^10 + 27256/104951*a^9 - 601/2233*a^8 - 60/3619*a^7 + 8083/104951*a^6 + 8363/104951*a^5 - 14475/104951*a^4 - 36725/104951*a^3 + 13823/104951*a^2 - 44097/104951*a + 476/1363, 1/260241248328479810066455605685221977*a^24 + 45878694745893157983527627333/37177321189782830009493657955031711*a^23 + 90366593814727997836693737239242/37177321189782830009493657955031711*a^22 - 899495744583495874688900697705814/260241248328479810066455605685221977*a^21 + 16721829380183768782062789540870281/260241248328479810066455605685221977*a^20 + 91948921908277394846368141899598254/260241248328479810066455605685221977*a^19 + 18303263431204907845390813569404765/260241248328479810066455605685221977*a^18 - 4425919379056206415810534802345126/260241248328479810066455605685221977*a^17 + 5103653137356764700310380639263155/260241248328479810066455605685221977*a^16 - 45611606276413347066478328716065449/260241248328479810066455605685221977*a^15 + 35278568982405139987227812277898652/260241248328479810066455605685221977*a^14 + 3329012248394719746886038207120792/23658295302589073642405055062292907*a^13 - 13597290767286188993350744776160988/260241248328479810066455605685221977*a^12 - 9283073417611264735438997977185914/23658295302589073642405055062292907*a^11 + 110744345605584579566522737798191061/260241248328479810066455605685221977*a^10 - 128075552204194243994745351876446882/260241248328479810066455605685221977*a^9 - 4230976279085374431444956019285470/23658295302589073642405055062292907*a^8 + 100861828667749445991170074840451216/260241248328479810066455605685221977*a^7 + 24151931394826863155062146261867955/260241248328479810066455605685221977*a^6 - 100027220903162140488394200681903256/260241248328479810066455605685221977*a^5 - 18696058940493921653908981957450379/260241248328479810066455605685221977*a^4 - 1477137359355527605319626794017188/260241248328479810066455605685221977*a^3 - 62543993333397539512767840849598691/260241248328479810066455605685221977*a^2 - 92197850307210230491479884051788848/260241248328479810066455605685221977*a - 72122110404046259596576556927021925/260241248328479810066455605685221977], 0, 1, [], 1, [ (84269532017009272803938446823454852)/(260241248328479810066455605685221977)*a^(24) - (223939506596711071952266781503370430)/(260241248328479810066455605685221977)*a^(23) + (25337964936264763243586894184707132)/(260241248328479810066455605685221977)*a^(22) - (1303199501768260775571964023975379744)/(260241248328479810066455605685221977)*a^(21) + (93332381781106437038119489632211454)/(37177321189782830009493657955031711)*a^(20) - (464864628916285804110691209321507624)/(260241248328479810066455605685221977)*a^(19) + (10939908483058816158144531497864591560)/(260241248328479810066455605685221977)*a^(18) - (7440181697381598230012930630772036837)/(260241248328479810066455605685221977)*a^(17) - (2041260146164125599549465762275409188)/(260241248328479810066455605685221977)*a^(16) + (34492261424224658483374329925511950083)/(260241248328479810066455605685221977)*a^(15) - (133250990964241982660708595227583283011)/(260241248328479810066455605685221977)*a^(14) + (24948883714145613432625030716421121541)/(260241248328479810066455605685221977)*a^(13) + (386191520516190763497491040128357639931)/(260241248328479810066455605685221977)*a^(12) - (11321260747495628488194060071273019517)/(23658295302589073642405055062292907)*a^(11) - (621474817763331655672022859128776488675)/(260241248328479810066455605685221977)*a^(10) + (162895670773709367892480069226139056771)/(260241248328479810066455605685221977)*a^(9) + (52275386672123682623827848005578845277)/(37177321189782830009493657955031711)*a^(8) - (118094568792437711466127357643225468449)/(260241248328479810066455605685221977)*a^(7) + (130079116739535841705981378249762344385)/(260241248328479810066455605685221977)*a^(6) - (86092609906107950938319685184287701186)/(260241248328479810066455605685221977)*a^(5) + (5296451239000837648539547345531554995)/(260241248328479810066455605685221977)*a^(4) - (1605450156107575620202504273680722074)/(37177321189782830009493657955031711)*a^(3) + (3409358532108811644184175953571588641)/(260241248328479810066455605685221977)*a^(2) - (1025106679933553876961305555373570845)/(260241248328479810066455605685221977)*a + (505419993252196238059922765627990118)/(260241248328479810066455605685221977) , (20046458445064109342476716685946716)/(260241248328479810066455605685221977)*a^(24) - (49336096156301159407912425819088152)/(260241248328479810066455605685221977)*a^(23) - (2625452003263097541339335143915600)/(37177321189782830009493657955031711)*a^(22) - (277595627155420041081654927183178846)/(260241248328479810066455605685221977)*a^(21) + (106421733842889228424290302785070650)/(260241248328479810066455605685221977)*a^(20) + (18888677038036045176945605528330230)/(37177321189782830009493657955031711)*a^(19) + (2562662916281275661325626299100152544)/(260241248328479810066455605685221977)*a^(18) - (1235031142312044441279139190596582328)/(260241248328479810066455605685221977)*a^(17) - (2604341459889876822088145310586946759)/(260241248328479810066455605685221977)*a^(16) + (8589164825615653129783882281551706136)/(260241248328479810066455605685221977)*a^(15) - (29156536634061633296050639238453285084)/(260241248328479810066455605685221977)*a^(14) - (204114076643051958018743363505324396)/(8973836149257924485050193299490413)*a^(13) + (112631516295544951927994661027129649984)/(260241248328479810066455605685221977)*a^(12) - (6270656404617520295561407523987145146)/(260241248328479810066455605685221977)*a^(11) - (220207889871507283687148069418151104242)/(260241248328479810066455605685221977)*a^(10) + (3705660820410987507667276959796839550)/(260241248328479810066455605685221977)*a^(9) + (209456545219714586707856853614233165514)/(260241248328479810066455605685221977)*a^(8) + (4106136079443040527449088031121464852)/(260241248328479810066455605685221977)*a^(7) - (689494040257281022173177264106639948)/(3379756471798439091772150723184701)*a^(6) - (19011299019459821164088644360687991552)/(260241248328479810066455605685221977)*a^(5) - (9497764313470240969551316963989558806)/(260241248328479810066455605685221977)*a^(4) + (2620478235026512372752526349954451800)/(260241248328479810066455605685221977)*a^(3) + (3885739314746704321539577708457629170)/(260241248328479810066455605685221977)*a^(2) + (1010213255218666333306757375462719652)/(260241248328479810066455605685221977)*a + (203633704039051770692456082695707262)/(260241248328479810066455605685221977) , (982116288990106238137974930795636)/(23658295302589073642405055062292907)*a^(24) - (38424622467905792131852062693355916)/(260241248328479810066455605685221977)*a^(23) + (23101249520541599055495823106021894)/(260241248328479810066455605685221977)*a^(22) - (759518354398739867132546867646486)/(1281976592751132069292884757070059)*a^(21) + (232453031491572862951002822128045190)/(260241248328479810066455605685221977)*a^(20) - (563333526974786405147361948998968)/(3379756471798439091772150723184701)*a^(19) + (1411101372436417991927787411948384184)/(260241248328479810066455605685221977)*a^(18) - (2183365832543530525896134260182065723)/(260241248328479810066455605685221977)*a^(17) - (171137514877362652878442910207008756)/(260241248328479810066455605685221977)*a^(16) + (5183046682333186007611976444573439424)/(260241248328479810066455605685221977)*a^(15) - (20894012681111396461373664906056604336)/(260241248328479810066455605685221977)*a^(14) + (16067725965671137225284316750924319012)/(260241248328479810066455605685221977)*a^(13) + (56013689984196667431513751219249301466)/(260241248328479810066455605685221977)*a^(12) - (62101472115286653303034204916089355150)/(260241248328479810066455605685221977)*a^(11) - (458317968647627606793720974219615822)/(1281976592751132069292884757070059)*a^(10) + (14515228397895668349333159691977119062)/(37177321189782830009493657955031711)*a^(9) + (73306510631804345977678714031009528484)/(260241248328479810066455605685221977)*a^(8) - (70411181196346029179234532552869238620)/(260241248328479810066455605685221977)*a^(7) + (296796466392517409170980227561136240)/(37177321189782830009493657955031711)*a^(6) - (14830122259857294054650123602451385262)/(260241248328479810066455605685221977)*a^(5) + (3963590950845807698698466367912881772)/(260241248328479810066455605685221977)*a^(4) + (2382254931366896120853823957011625470)/(260241248328479810066455605685221977)*a^(3) + (15723088826874122425084734315872556)/(3379756471798439091772150723184701)*a^(2) + (23215578033474786610165632522186818)/(260241248328479810066455605685221977)*a + (20046458445064109342476716685946716)/(260241248328479810066455605685221977) , (51517021316234572706565036683049034)/(260241248328479810066455605685221977)*a^(24) - (135278587432666065479865273110769292)/(260241248328479810066455605685221977)*a^(23) - (3428742532648767581189175903035834)/(260241248328479810066455605685221977)*a^(22) - (108694484855245997860146057795569392)/(37177321189782830009493657955031711)*a^(21) + (380003943858799190281219484028519058)/(260241248328479810066455605685221977)*a^(20) - (49170972588373464878950604248029312)/(260241248328479810066455605685221977)*a^(19) + (228241636438673963183079082033104090)/(8973836149257924485050193299490413)*a^(18) - (4296309884579895381159006594424542460)/(260241248328479810066455605685221977)*a^(17) - (3260848609160975397842137350321881008)/(260241248328479810066455605685221977)*a^(16) + (1990058810464529895951247341465118686)/(23658295302589073642405055062292907)*a^(15) - (80024014490723707534156819276795105380)/(260241248328479810066455605685221977)*a^(14) + (6711113877022987204693153875465048250)/(260241248328479810066455605685221977)*a^(13) + (258143435252844493845668884885509843858)/(260241248328479810066455605685221977)*a^(12) - (67137517211421594934648445810158292858)/(260241248328479810066455605685221977)*a^(11) - (41058926728449258723884791543733565704)/(23658295302589073642405055062292907)*a^(10) + (93314202528329037066769803665921161112)/(260241248328479810066455605685221977)*a^(9) + (49241017415843441715984619679631974192)/(37177321189782830009493657955031711)*a^(8) - (69000234215430594086609948820086298306)/(260241248328479810066455605685221977)*a^(7) - (2558812827077152409777261215120247244)/(260241248328479810066455605685221977)*a^(6) - (42862187859863193090971436047765838730)/(260241248328479810066455605685221977)*a^(5) - (6615839332803889596433743554790085045)/(260241248328479810066455605685221977)*a^(4) + (1707819265373032281788837204870949498)/(260241248328479810066455605685221977)*a^(3) + (1776340892099826605563139932603329968)/(260241248328479810066455605685221977)*a^(2) + (65399289570373035626687333743282778)/(23658295302589073642405055062292907)*a + (25798088170213247571170876679326692)/(37177321189782830009493657955031711) , (178257108976408346897869083419726753)/(260241248328479810066455605685221977)*a^(24) - (63876229476237207784693799552359705)/(37177321189782830009493657955031711)*a^(23) - (30353769982125822643547365119711936)/(260241248328479810066455605685221977)*a^(22) - (2714805003594334300895123761066675818)/(260241248328479810066455605685221977)*a^(21) + (975462176865924926013113215794078146)/(260241248328479810066455605685221977)*a^(20) - (582376339597486638300066802759507226)/(260241248328479810066455605685221977)*a^(19) + (22915067805567781368626868999424820394)/(260241248328479810066455605685221977)*a^(18) - (12289864266820240174081404305895928443)/(260241248328479810066455605685221977)*a^(17) - (8358876472610333074954784738196030122)/(260241248328479810066455605685221977)*a^(16) + (73287458364917401065737121254215665602)/(260241248328479810066455605685221977)*a^(15) - (269993226658398853022688920758756157633)/(260241248328479810066455605685221977)*a^(14) + (4999694525500262420289231776548484771)/(260241248328479810066455605685221977)*a^(13) + (844979237315218109440629754256871548878)/(260241248328479810066455605685221977)*a^(12) - (4873777594844792466120840067941532188)/(8973836149257924485050193299490413)*a^(11) - (1421950815057648152277978787956907902331)/(260241248328479810066455605685221977)*a^(10) + (161465582438660970544265897808722964733)/(260241248328479810066455605685221977)*a^(9) + (947209539900057942873170823735336772948)/(260241248328479810066455605685221977)*a^(8) - (153648117406567220524353435194724579240)/(260241248328479810066455605685221977)*a^(7) + (139874929702944402989162623349809891477)/(260241248328479810066455605685221977)*a^(6) - (121924155760512969956902287656989370298)/(260241248328479810066455605685221977)*a^(5) - (5545762901206857332547396962614299121)/(260241248328479810066455605685221977)*a^(4) - (2470956968608400834766720974859568318)/(37177321189782830009493657955031711)*a^(3) + (2723722315770401867958549537562880560)/(260241248328479810066455605685221977)*a^(2) - (1635048654123233236444360242184844866)/(260241248328479810066455605685221977)*a + (640415863863028939641057714318609824)/(260241248328479810066455605685221977) , (67932010772231260237993081649061225)/(260241248328479810066455605685221977)*a^(24) - (116997277718855493324351284029406610)/(260241248328479810066455605685221977)*a^(23) - (136350753780444799221986605333465194)/(260241248328479810066455605685221977)*a^(22) - (1070974947735926572175181067672589450)/(260241248328479810066455605685221977)*a^(21) - (429797435269736816279150202320125177)/(260241248328479810066455605685221977)*a^(20) - (73910905316462348770160394230172751)/(260241248328479810066455605685221977)*a^(19) + (8670889123715902057571792676010483451)/(260241248328479810066455605685221977)*a^(18) + (2090213874214178179695206018604990334)/(260241248328479810066455605685221977)*a^(17) - (515936144096223597557511809851821566)/(23658295302589073642405055062292907)*a^(16) + (24240428640059456895048394835034274805)/(260241248328479810066455605685221977)*a^(15) - (80754785399449159889485479905363234195)/(260241248328479810066455605685221977)*a^(14) - (6823991789570204385192332168203959098)/(23658295302589073642405055062292907)*a^(13) + (307631797224844947286073047076217469019)/(260241248328479810066455605685221977)*a^(12) + (207059262686531697006272209379883676126)/(260241248328479810066455605685221977)*a^(11) - (544262582978406699795469449952906077296)/(260241248328479810066455605685221977)*a^(10) - (393590640374637841623307480143516852961)/(260241248328479810066455605685221977)*a^(9) + (352014230022610892345414769993784093839)/(260241248328479810066455605685221977)*a^(8) + (270376148856049051281348451557181054830)/(260241248328479810066455605685221977)*a^(7) + (29495891563203204521519407689478755928)/(260241248328479810066455605685221977)*a^(6) - (40297618279486386936482612962024312711)/(260241248328479810066455605685221977)*a^(5) - (9699000840866369888092833135338318705)/(260241248328479810066455605685221977)*a^(4) - (15106078758288321115288239665338304023)/(260241248328479810066455605685221977)*a^(3) - (4021664010463968428699852971839181185)/(260241248328479810066455605685221977)*a^(2) - (1910019004406465070822453057609718217)/(260241248328479810066455605685221977)*a + (382825987988511942514454719757633162)/(260241248328479810066455605685221977) , (12256895887016236216132262349434489)/(37177321189782830009493657955031711)*a^(24) - (253990334815212971325785072312054207)/(260241248328479810066455605685221977)*a^(23) + (9513945256661633947463212568440168)/(37177321189782830009493657955031711)*a^(22) - (1258392808024983872083368452321368322)/(260241248328479810066455605685221977)*a^(21) + (36653985479465846572210179460761468)/(8973836149257924485050193299490413)*a^(20) - (257612284456371394336076725427325187)/(260241248328479810066455605685221977)*a^(19) + (11046040879911544119217635079655206719)/(260241248328479810066455605685221977)*a^(18) - (10893981196299788069554351334042484142)/(260241248328479810066455605685221977)*a^(17) - (3395681243873117069750097355307519466)/(260241248328479810066455605685221977)*a^(16) + (38378318235739722628885775524548661487)/(260241248328479810066455605685221977)*a^(15) - (13161237608623755167935812056689703690)/(23658295302589073642405055062292907)*a^(14) + (54190120791537806008484916443185356769)/(260241248328479810066455605685221977)*a^(13) + (61465255285201681011256317876239703085)/(37177321189782830009493657955031711)*a^(12) - (252811772400338777797964751118941244832)/(260241248328479810066455605685221977)*a^(11) - (735391246985250401959850016070254774427)/(260241248328479810066455605685221977)*a^(10) + (406615381381887683352364140020572291305)/(260241248328479810066455605685221977)*a^(9) + (566344243976883280350155181132738818182)/(260241248328479810066455605685221977)*a^(8) - (44269942612103264852849098960956025421)/(37177321189782830009493657955031711)*a^(7) - (16216586070100126538777662479369641814)/(260241248328479810066455605685221977)*a^(6) - (61601774190455939234399033232434303413)/(260241248328479810066455605685221977)*a^(5) + (35895767712605067554211461660860637335)/(260241248328479810066455605685221977)*a^(4) - (681352316898515571657876748378477106)/(260241248328479810066455605685221977)*a^(3) + (2928959845606445008221795711830647494)/(260241248328479810066455605685221977)*a^(2) - (141613190936550955212570634230862932)/(23658295302589073642405055062292907)*a + (450931192401264871039135966815688142)/(260241248328479810066455605685221977) , (128813053606163295363991503574594066)/(260241248328479810066455605685221977)*a^(24) - (46275142031652306061140562035146254)/(37177321189782830009493657955031711)*a^(23) - (43812191806959735938281100569565232)/(260241248328479810066455605685221977)*a^(22) - (272747763526679594867431381530530478)/(37177321189782830009493657955031711)*a^(21) + (105927478843645443790896241040569527)/(37177321189782830009493657955031711)*a^(20) - (61301908503744690862240983867005821)/(260241248328479810066455605685221977)*a^(19) + (16543987949936674593651448946656087762)/(260241248328479810066455605685221977)*a^(18) - (815047019514165263046069031545936727)/(23658295302589073642405055062292907)*a^(17) - (9042890858802235784023195066136319601)/(260241248328479810066455605685221977)*a^(16) + (53671239013519566300851449907454098506)/(260241248328479810066455605685221977)*a^(15) - (193660378957841588725036454691085152239)/(260241248328479810066455605685221977)*a^(14) - (4584054072034728066063329577766687511)/(260241248328479810066455605685221977)*a^(13) + (91940814829469063917178487290127946713)/(37177321189782830009493657955031711)*a^(12) - (94813119874540673999148630655908931642)/(260241248328479810066455605685221977)*a^(11) - (1141674774194247057386567017640457771356)/(260241248328479810066455605685221977)*a^(10) + (104763185548111323290067671821304614504)/(260241248328479810066455605685221977)*a^(9) + (126486431970882648634540641075181739756)/(37177321189782830009493657955031711)*a^(8) - (72477276302931946445982051605814519023)/(260241248328479810066455605685221977)*a^(7) - (1417306107608507003745484910713575814)/(8973836149257924485050193299490413)*a^(6) - (16572672632611773055275598444937433782)/(37177321189782830009493657955031711)*a^(5) - (9247433321909739296711375366351740208)/(260241248328479810066455605685221977)*a^(4) + (3797402568505800952859459214986989212)/(260241248328479810066455605685221977)*a^(3) + (7786224543925984902598811946546820164)/(260241248328479810066455605685221977)*a^(2) + (33684828290031687657320376386298085)/(23658295302589073642405055062292907)*a + (2954578103943703204292685427303766)/(23658295302589073642405055062292907) , (35033204003711208409659633091067198)/(260241248328479810066455605685221977)*a^(24) - (3154121727594022708753514631747793)/(8973836149257924485050193299490413)*a^(23) + (7059321777857559222763116353485160)/(260241248328479810066455605685221977)*a^(22) - (7064518660561912953075570368684001)/(3379756471798439091772150723184701)*a^(21) + (248411541899414905341808960532795974)/(260241248328479810066455605685221977)*a^(20) - (195201613185203352422331843904229076)/(260241248328479810066455605685221977)*a^(19) + (4551168986276069925159953832648415993)/(260241248328479810066455605685221977)*a^(18) - (2899318298833309306620057276985246894)/(260241248328479810066455605685221977)*a^(17) - (880261010791246810445807270384662446)/(260241248328479810066455605685221977)*a^(16) + (14168486125712460964658866725188685509)/(260241248328479810066455605685221977)*a^(15) - (54633206379556114306875107803658396852)/(260241248328479810066455605685221977)*a^(14) + (1163100317404245389509903281604843161)/(37177321189782830009493657955031711)*a^(13) + (159468056969135867081995439774491206435)/(260241248328479810066455605685221977)*a^(12) - (43180667515992695985598803786813117206)/(260241248328479810066455605685221977)*a^(11) - (257724658099831005325129826161287424170)/(260241248328479810066455605685221977)*a^(10) + (52019631817718698307465665092183995462)/(260241248328479810066455605685221977)*a^(9) + (152641899011769677067397081645132186300)/(260241248328479810066455605685221977)*a^(8) - (36083849103134335685419873035732367738)/(260241248328479810066455605685221977)*a^(7) + (48633431649817849220338816454204774739)/(260241248328479810066455605685221977)*a^(6) - (37904648984314167235038277976329784206)/(260241248328479810066455605685221977)*a^(5) + (7562599072092576979633140428120740646)/(260241248328479810066455605685221977)*a^(4) - (5035926624577468975347032729218723966)/(260241248328479810066455605685221977)*a^(3) + (180433505007037976838456447712131634)/(260241248328479810066455605685221977)*a^(2) - (333892134051708243982915572482775787)/(260241248328479810066455605685221977)*a - (164042460452261166933606545847084434)/(260241248328479810066455605685221977) , (36466360879699722024748338220192912)/(260241248328479810066455605685221977)*a^(24) - (157154397144116349794384119082775075)/(260241248328479810066455605685221977)*a^(23) + (192620323743514383525771947949519866)/(260241248328479810066455605685221977)*a^(22) - (627762573223293580923478159054273396)/(260241248328479810066455605685221977)*a^(21) + (1185167298876803307512937945826004002)/(260241248328479810066455605685221977)*a^(20) - (140932387421898844796556909713377171)/(37177321189782830009493657955031711)*a^(19) + (5059154174470713354502578468831407560)/(260241248328479810066455605685221977)*a^(18) - (10995962963143730720263987579332439406)/(260241248328479810066455605685221977)*a^(17) + (7157223749664107244311841490949517890)/(260241248328479810066455605685221977)*a^(16) + (1452684516532842391381678132632192324)/(23658295302589073642405055062292907)*a^(15) - (84505689834951720653991725028014710223)/(260241248328479810066455605685221977)*a^(14) + (114818284503467890094796732507576543447)/(260241248328479810066455605685221977)*a^(13) + (120372024147396044207254682839392552986)/(260241248328479810066455605685221977)*a^(12) - (343940234276505725236420300919454888480)/(260241248328479810066455605685221977)*a^(11) - (10090827146396028838634088900195300320)/(37177321189782830009493657955031711)*a^(10) + (48891078961166998856988873379343879221)/(23658295302589073642405055062292907)*a^(9) - (159326240696215441693752609754960360147)/(260241248328479810066455605685221977)*a^(8) - (357819236102355588351375715380905108029)/(260241248328479810066455605685221977)*a^(7) + (43222859019179784240056599454777168791)/(37177321189782830009493657955031711)*a^(6) - (105709548223532513333637891591866465840)/(260241248328479810066455605685221977)*a^(5) + (6283086855347886542019965316047274869)/(37177321189782830009493657955031711)*a^(4) - (15728737355164733547350622673838279561)/(260241248328479810066455605685221977)*a^(3) + (3504427334489445783728958530288177495)/(260241248328479810066455605685221977)*a^(2) - (1516219008013774887524294683325327507)/(260241248328479810066455605685221977)*a - (17147834538959156135458387050327087)/(260241248328479810066455605685221977) , (255536314942172631594038566477388333)/(260241248328479810066455605685221977)*a^(24) - (612564497672011406394157974761636870)/(260241248328479810066455605685221977)*a^(23) - (141684755338931106233187147599656962)/(260241248328479810066455605685221977)*a^(22) - (3828177645221186989536652106883064579)/(260241248328479810066455605685221977)*a^(21) + (970424749787660281008937209383123374)/(260241248328479810066455605685221977)*a^(20) - (278759316285341702140887091342898765)/(260241248328479810066455605685221977)*a^(19) + (32598457359583896469445805177054543697)/(260241248328479810066455605685221977)*a^(18) - (13905594636974973037278974432517222268)/(260241248328479810066455605685221977)*a^(17) - (17348342244876292344352396774275037111)/(260241248328479810066455605685221977)*a^(16) + (3645567196482319585982514218047018489)/(8973836149257924485050193299490413)*a^(15) - (33983484719790382740771552717177397323)/(23658295302589073642405055062292907)*a^(14) - (47440520100735403746424144976391389540)/(260241248328479810066455605685221977)*a^(13) + (178995276891307058467533082031565470796)/(37177321189782830009493657955031711)*a^(12) - (6262058492661876149811921494955360681)/(23658295302589073642405055062292907)*a^(11) - (2193312612697831832995806980914443273679)/(260241248328479810066455605685221977)*a^(10) + (33366802186614826920508434908077019177)/(260241248328479810066455605685221977)*a^(9) + (1612781386854790036643956648049796927603)/(260241248328479810066455605685221977)*a^(8) - (16239802086736726764588628437198211197)/(37177321189782830009493657955031711)*a^(7) + (4981908691246051021085838653764246811)/(260241248328479810066455605685221977)*a^(6) - (104394054987386022221252110880634404949)/(260241248328479810066455605685221977)*a^(5) - (22014384047130437206124885042550503267)/(260241248328479810066455605685221977)*a^(4) - (19146379264187876115414205712219289773)/(260241248328479810066455605685221977)*a^(3) - (1623479474549702812779898732940713228)/(260241248328479810066455605685221977)*a^(2) + (51179068646552629448091508774696266)/(260241248328479810066455605685221977)*a + (148726354063046402877157673360887910)/(260241248328479810066455605685221977) , (50214000906706321598039169643321398)/(260241248328479810066455605685221977)*a^(24) - (139400557691580350665547325590049583)/(260241248328479810066455605685221977)*a^(23) - (5375514485158406558791000646496444)/(260241248328479810066455605685221977)*a^(22) - (690070494020897322279280017235084513)/(260241248328479810066455605685221977)*a^(21) + (498324911743853994718150279115545326)/(260241248328479810066455605685221977)*a^(20) + (222437744186464605818065273971999513)/(260241248328479810066455605685221977)*a^(19) + (6392416754079499060067363030960512504)/(260241248328479810066455605685221977)*a^(18) - (5157920402605213964367040308474936263)/(260241248328479810066455605685221977)*a^(17) - (5345511629370135454012645718099039313)/(260241248328479810066455605685221977)*a^(16) + (22836049434490666925617773631469661588)/(260241248328479810066455605685221977)*a^(15) - (79489488150694309936020379811286254611)/(260241248328479810066455605685221977)*a^(14) + (852902407596645825235987510448107065)/(23658295302589073642405055062292907)*a^(13) + (40273562989042560705163228569344115537)/(37177321189782830009493657955031711)*a^(12) - (96833916266982724949857697639634674486)/(260241248328479810066455605685221977)*a^(11) - (538659691800130700933001278629686567355)/(260241248328479810066455605685221977)*a^(10) + (22113599356877594553822064581120047449)/(37177321189782830009493657955031711)*a^(9) + (515843033913505884824617563178520288370)/(260241248328479810066455605685221977)*a^(8) - (104267830953530255262089913779262392294)/(260241248328479810066455605685221977)*a^(7) - (140636435458147633593747504872378166150)/(260241248328479810066455605685221977)*a^(6) - (7080598971576197981880705269738495925)/(37177321189782830009493657955031711)*a^(5) + (6304816250806004959771134927031402902)/(260241248328479810066455605685221977)*a^(4) + (18657085131879341846365881597097260417)/(260241248328479810066455605685221977)*a^(3) + (5304355753288442657097685033101441734)/(260241248328479810066455605685221977)*a^(2) + (787696855611859908069678275611231031)/(260241248328479810066455605685221977)*a - (60907762800599156355575069185655030)/(23658295302589073642405055062292907) , (190721700704201315003585198287558115)/(260241248328479810066455605685221977)*a^(24) - (56603903111206984133444481254395421)/(37177321189782830009493657955031711)*a^(23) - (223956798586081736437229456335020707)/(260241248328479810066455605685221977)*a^(22) - (2952429788508022545354776242697319946)/(260241248328479810066455605685221977)*a^(21) - (216945977285603376086497898697904153)/(260241248328479810066455605685221977)*a^(20) - (399403471327107617064627183305189022)/(260241248328479810066455605685221977)*a^(19) + (24285702156036086699269208776945537955)/(260241248328479810066455605685221977)*a^(18) - (2625629300831382052086989236238768702)/(260241248328479810066455605685221977)*a^(17) - (1816711023984267123408130346034943381)/(37177321189782830009493657955031711)*a^(16) + (73938453305271553224085141209240822598)/(260241248328479810066455605685221977)*a^(15) - (255875582160347078161504208833953121143)/(260241248328479810066455605685221977)*a^(14) - (113367729153052208625228092050442510042)/(260241248328479810066455605685221977)*a^(13) + (885302343086076121056899198401537278976)/(260241248328479810066455605685221977)*a^(12) + (234566215052042810230652696462218488357)/(260241248328479810066455605685221977)*a^(11) - (216923900174663174795482202716448964228)/(37177321189782830009493657955031711)*a^(10) - (479537715211178447037636443217767415248)/(260241248328479810066455605685221977)*a^(9) + (88460842775495547652910733942442187075)/(23658295302589073642405055062292907)*a^(8) + (258494706752899881811932965162289087893)/(260241248328479810066455605685221977)*a^(7) + (21526111072641710160962002382022504238)/(37177321189782830009493657955031711)*a^(6) - (58281152680091883414110406712025045954)/(260241248328479810066455605685221977)*a^(5) - (1561908473954762773495939406520707943)/(8973836149257924485050193299490413)*a^(4) - (30301835823302814537341895828058399649)/(260241248328479810066455605685221977)*a^(3) - (7559677096487915335523031116291445582)/(260241248328479810066455605685221977)*a^(2) - (3228665128030667926226100270757894846)/(260241248328479810066455605685221977)*a - (369313830936378008326599833149822918)/(260241248328479810066455605685221977) , (164626444989589216740180584038208864)/(260241248328479810066455605685221977)*a^(24) - (378331178890366859594674796760264715)/(260241248328479810066455605685221977)*a^(23) - (120592173960446078143749184732479544)/(260241248328479810066455605685221977)*a^(22) - (2504071206697908210939308397316256329)/(260241248328479810066455605685221977)*a^(21) + (35296950108917626846870072411079099)/(23658295302589073642405055062292907)*a^(20) - (23632940128826559972652046218820684)/(23658295302589073642405055062292907)*a^(19) + (21099062880387880814951039423527957190)/(260241248328479810066455605685221977)*a^(18) - (6913561651866711526211295631063145473)/(260241248328479810066455605685221977)*a^(17) - (1547024250187938155987715006910547387)/(37177321189782830009493657955031711)*a^(16) + (65766984127058263327062974269798190225)/(260241248328479810066455605685221977)*a^(15) - (234452371949402970574284735950706358844)/(260241248328479810066455605685221977)*a^(14) - (49887218077339562782915572991628466059)/(260241248328479810066455605685221977)*a^(13) + (787823383008687133573020995622319140034)/(260241248328479810066455605685221977)*a^(12) + (3762563385510781968683305657117773146)/(23658295302589073642405055062292907)*a^(11) - (1367864141047753042375860696389431869079)/(260241248328479810066455605685221977)*a^(10) - (148590888632460772041597308031031626402)/(260241248328479810066455605685221977)*a^(9) + (956566983658525316219881530345845527640)/(260241248328479810066455605685221977)*a^(8) + (82292026978410421546762156764210427144)/(260241248328479810066455605685221977)*a^(7) + (8911230790066330891957376483252784625)/(37177321189782830009493657955031711)*a^(6) - (114304883118408771927944750516363433014)/(260241248328479810066455605685221977)*a^(5) - (26697274601706322664312563743482576400)/(260241248328479810066455605685221977)*a^(4) - (12024681591684715257725363269219299474)/(260241248328479810066455605685221977)*a^(3) + (1578628647692289078502686586395296241)/(260241248328479810066455605685221977)*a^(2) - (515972618310355678893683973036047388)/(260241248328479810066455605685221977)*a + (23770811540219444477206021680823767)/(260241248328479810066455605685221977) ], 29321804577.651592, [[x^5 - x^4 - 24*x^3 + 17*x^2 + 41*x + 13, 1], [x^5 - x^4 - 24*x^3 + 17*x^2 + 163*x - 48, 1]]]