/* 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^22 - 50*x^20 + 655*x^18 - 570*x^16 - 26565*x^14 + 17640*x^12 + 429960*x^10 + 832590*x^8 + 466125*x^6 - 52030*x^4 - 64735*x^2 + 9680, 22, 36, [12, 5], -305589296948370493150063631057739257812500, [2, 3, 5, 11], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2 - 1/2*a, 1/2*a^7 - 1/2*a^4 - 1/2*a^3 - 1/2*a, 1/2*a^8 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2, 1/2*a^9 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^10 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/4*a^11 - 1/4*a^9 - 1/4*a^7 - 1/2*a^4 - 1/4*a^3 - 1/2*a^2 + 1/4*a, 1/12*a^12 - 1/4*a^10 - 1/4*a^8 - 1/6*a^6 - 1/4*a^4 + 1/4*a^2 - 1/2*a + 1/3, 1/12*a^13 + 1/12*a^7 - 1/4*a^5 - 1/2*a^4 - 1/2*a^2 - 5/12*a, 1/12*a^14 + 1/12*a^8 - 1/4*a^6 - 1/2*a^5 - 1/2*a^3 - 5/12*a^2, 1/12*a^15 + 1/12*a^9 - 1/4*a^7 - 1/2*a^5 - 5/12*a^3 - 1/2*a^2 - 1/2*a, 1/12*a^16 + 1/12*a^10 - 1/4*a^8 - 1/2*a^5 + 1/12*a^4 - 1/2*a^3 - 1/2*a, 1/264*a^17 - 1/24*a^16 - 1/44*a^15 - 1/24*a^14 - 5/264*a^13 - 5/66*a^11 - 1/24*a^10 - 1/6*a^8 - 13/132*a^7 - 1/8*a^6 + 29/132*a^5 - 1/24*a^4 - 1/8*a^3 - 7/24*a^2 - 5/12*a, 1/264*a^18 + 5/264*a^16 - 1/24*a^15 + 1/44*a^14 - 1/24*a^13 + 1/132*a^12 - 1/8*a^11 - 5/24*a^10 - 1/6*a^9 - 2/11*a^8 - 1/24*a^7 + 47/264*a^6 + 3/8*a^5 + 1/6*a^4 + 1/3*a^3 - 3/8*a^2 + 1/3*a + 1/3, 1/264*a^19 - 1/33*a^15 + 5/264*a^13 - 1/24*a^12 - 7/88*a^11 + 1/8*a^10 - 13/132*a^9 - 1/8*a^8 - 43/264*a^7 - 1/6*a^6 + 7/22*a^5 - 3/8*a^4 + 1/3*a^3 - 1/8*a^2 + 1/12*a + 1/3, 1/737885066712594451681272*a^20 + 149386253836188505628/92235633339074306460159*a^18 - 7084457819214183537073/184471266678148612920318*a^16 + 26438851257105890431591/737885066712594451681272*a^14 - 1/24*a^13 - 9318517338460456942619/245961688904198150560424*a^12 - 1/8*a^11 - 66272638040255673421529/368942533356297225840636*a^10 + 1/8*a^9 + 119447272851489146639887/737885066712594451681272*a^8 + 1/12*a^7 + 6365653658039834076283/122980844452099075280212*a^6 - 3/8*a^5 + 772827693275969560055/8385057576279482405469*a^4 - 3/8*a^3 - 1279849524225287399950/2795019192093160801823*a^2 - 5/12*a - 2892290787552792964231/8385057576279482405469, 1/737885066712594451681272*a^21 + 149386253836188505628/92235633339074306460159*a^19 - 193819677962563065031/368942533356297225840636*a^17 - 18281455816384682397577/737885066712594451681272*a^15 - 1/24*a^14 + 16764755058109202001311/737885066712594451681272*a^13 - 1/24*a^12 + 23167976106725472236807/368942533356297225840636*a^11 - 1/8*a^10 - 126514416052709003920537/737885066712594451681272*a^9 - 1/6*a^8 - 16887158495192120656916/92235633339074306460159*a^7 - 1/24*a^6 + 14439284159490535029659/368942533356297225840636*a^5 - 1/8*a^4 - 1383098330237644790285/33540230305117929621876*a^3 + 1/3*a^2 - 8774143958118011055101/33540230305117929621876*a + 1/3], 0, 2, [2], 1, [ (239359546231731226117)/(368942533356297225840636)*a^(21) - (9420740707018365914)/(92235633339074306460159)*a^(20) - (2963901987804853221179)/(92235633339074306460159)*a^(19) + (57058282243548821343)/(11180076768372643207292)*a^(18) + (302260798450728842696117)/(737885066712594451681272)*a^(17) - (49265706672487770193843)/(737885066712594451681272)*a^(16) - (61211052931246306175927)/(368942533356297225840636)*a^(15) + (14183001616832058418803)/(245961688904198150560424)*a^(14) - (12890790711685502096892701)/(737885066712594451681272)*a^(13) + (248384267659196041336907)/(92235633339074306460159)*a^(12) + (641499239772230690301095)/(184471266678148612920318)*a^(11) - (1236167894559156327562411)/(737885066712594451681272)*a^(10) + (52847478769781385650232527)/(184471266678148612920318)*a^(9) - (5309497443643497181012319)/(122980844452099075280212)*a^(8) + (246006409001412615351022451)/(368942533356297225840636)*a^(7) - (64742525295649575181961111)/(737885066712594451681272)*a^(6) + (48254288319780147290378359)/(92235633339074306460159)*a^(5) - (4190524222172176203651227)/(67080460610235859243752)*a^(4) + (1801719349781584918511261)/(22360153536745286414584)*a^(3) - (774234936114580569261649)/(67080460610235859243752)*a^(2) - (344029735974248861079472)/(8385057576279482405469)*a + (19579690625590272891331)/(8385057576279482405469) , (21406899256214745877)/(122980844452099075280212)*a^(21) + (65017034842868484173)/(245961688904198150560424)*a^(20) - (1591428238503721363793)/(184471266678148612920318)*a^(19) - (9755581802493064514747)/(737885066712594451681272)*a^(18) + (81289603632550368010463)/(737885066712594451681272)*a^(17) + (31985682362792680095479)/(184471266678148612920318)*a^(16) - (35185874119488655219909)/(737885066712594451681272)*a^(15) - (19139412331799184422445)/(122980844452099075280212)*a^(14) - (1153270674573830796626911)/(245961688904198150560424)*a^(13) - (5156765590499214909884299)/(737885066712594451681272)*a^(12) + (400407247726658189157925)/(368942533356297225840636)*a^(11) + (435165812887112308254013)/(92235633339074306460159)*a^(10) + (56761055968127363177289677)/(737885066712594451681272)*a^(9) + (2514641701141030245682383)/(22360153536745286414584)*a^(8) + (43355506053724296535029479)/(245961688904198150560424)*a^(7) + (81189895887745132379027137)/(368942533356297225840636)*a^(6) + (12328310736526902968701738)/(92235633339074306460159)*a^(5) + (9189385011154607642356999)/(67080460610235859243752)*a^(4) + (283506922033249466075161)/(16770115152558964810938)*a^(3) + (41249870771272048536691)/(5590038384186321603646)*a^(2) - (398243253639134871508981)/(33540230305117929621876)*a - (89099776045761060679982)/(8385057576279482405469) , (578302925213172742201)/(737885066712594451681272)*a^(21) - (237382620991649193971)/(245961688904198150560424)*a^(20) - (3595348126318390624058)/(92235633339074306460159)*a^(19) + (35499216463584958522393)/(737885066712594451681272)*a^(18) + (371177493002485647373933)/(737885066712594451681272)*a^(17) - (115278873599773566688637)/(184471266678148612920318)*a^(16) - (38360978483768675650627)/(122980844452099075280212)*a^(15) + (338465456364742641006613)/(737885066712594451681272)*a^(14) - (2574360582867441399486951)/(122980844452099075280212)*a^(13) + (788937050601593373273268)/(30745211113024768820053)*a^(12) + (771062951761370552758202)/(92235633339074306460159)*a^(11) - (9633479040695858571600995)/(737885066712594451681272)*a^(10) + (10463121402994100182583068)/(30745211113024768820053)*a^(9) - (306344245078105195410348065)/(737885066712594451681272)*a^(8) + (182147380397407954277599319)/(245961688904198150560424)*a^(7) - (213738860470603142322361921)/(245961688904198150560424)*a^(6) + (50053754962405131311080106)/(92235633339074306460159)*a^(5) - (20451042756922398905616089)/(33540230305117929621876)*a^(4) + (1306094482172022301198033)/(16770115152558964810938)*a^(3) - (683473182419476678469393)/(8385057576279482405469)*a^(2) - (1240435909667870175923429)/(33540230305117929621876)*a + (335157936779432715237722)/(8385057576279482405469) , (35077597135144398163)/(92235633339074306460159)*a^(21) + (794955190149908010)/(30745211113024768820053)*a^(20) - (14239990782644902780205)/(737885066712594451681272)*a^(19) - (149259575473485425570)/(92235633339074306460159)*a^(18) + (97214759412818186539985)/(368942533356297225840636)*a^(17) + (6166065391078525461985)/(184471266678148612920318)*a^(16) - (152865493886952058740325)/(368942533356297225840636)*a^(15) - (44095340562634219245083)/(184471266678148612920318)*a^(14) - (2404403728402919448348301)/(245961688904198150560424)*a^(13) - (255815615098570075773391)/(737885066712594451681272)*a^(12) + (10296423682123779798208273)/(737885066712594451681272)*a^(11) + (6501890579440782309395797)/(737885066712594451681272)*a^(10) + (14063382452669486709512237)/(92235633339074306460159)*a^(9) - (4873864944788671678123)/(67080460610235859243752)*a^(8) + (4562594491114888748758201)/(22360153536745286414584)*a^(7) - (20103261074660474013653293)/(184471266678148612920318)*a^(6) + (6508637203586996690813971)/(184471266678148612920318)*a^(5) - (11790767656925942393791729)/(67080460610235859243752)*a^(4) - (501024967629521997004019)/(16770115152558964810938)*a^(3) - (3691563269149724929655047)/(67080460610235859243752)*a^(2) + (220488208622287313986241)/(33540230305117929621876)*a + (52637772201222260814002)/(2795019192093160801823) , (20455794189235240999)/(184471266678148612920318)*a^(21) + (50605287653685968073)/(122980844452099075280212)*a^(20) - (185632417828140490825)/(33540230305117929621876)*a^(19) - (5035017571666072398765)/(245961688904198150560424)*a^(18) + (53226630471600302586905)/(737885066712594451681272)*a^(17) + (24380085539754423603313)/(92235633339074306460159)*a^(16) - (13872054373014795364927)/(245961688904198150560424)*a^(15) - (122320796637951861090655)/(737885066712594451681272)*a^(14) - (90914829814621069072302)/(30745211113024768820053)*a^(13) - (4059783523647601300092727)/(368942533356297225840636)*a^(12) + (1265669796171313558253675)/(737885066712594451681272)*a^(11) + (1682060525596009818736057)/(368942533356297225840636)*a^(10) + (5900362692940692303790447)/(122980844452099075280212)*a^(9) + (66061681157844403608100153)/(368942533356297225840636)*a^(8) + (23627615045472241439243023)/(245961688904198150560424)*a^(7) + (142234877275784476293715685)/(368942533356297225840636)*a^(6) + (43056537579466483292991827)/(737885066712594451681272)*a^(5) + (18424039853540442651405223)/(67080460610235859243752)*a^(4) - (147720015766149800427521)/(67080460610235859243752)*a^(3) + (1084607323114674557968709)/(33540230305117929621876)*a^(2) - (275555272780607749552679)/(33540230305117929621876)*a - (179354341696347840871184)/(8385057576279482405469) , (209691827402064378677)/(368942533356297225840636)*a^(20) - (3536019457551407135797)/(122980844452099075280212)*a^(18) + (4351837254918682169367)/(11180076768372643207292)*a^(16) - (204887959629317183560951)/(368942533356297225840636)*a^(14) - (1359980926595859420517138)/(92235633339074306460159)*a^(12) + (575480066635734058974150)/(30745211113024768820053)*a^(10) + (42805170338458598788611169)/(184471266678148612920318)*a^(8) + (124150643922319082134061561)/(368942533356297225840636)*a^(6) + (1001772040157096399560177)/(11180076768372643207292)*a^(4) - (197328700151861230960599)/(5590038384186321603646)*a^(2) - (3319601901770740635419)/(8385057576279482405469) , (2640841904972508040)/(30745211113024768820053)*a^(20) - (254119698957935980915)/(61490422226049537640106)*a^(18) + (8862512637854933292877)/(184471266678148612920318)*a^(16) + (528946370671501640282)/(8385057576279482405469)*a^(14) - (906056900868986303672243)/(368942533356297225840636)*a^(12) - (976625661323821116001717)/(368942533356297225840636)*a^(10) + (15794662505281330968641671)/(368942533356297225840636)*a^(8) + (25070993724060194193976115)/(184471266678148612920318)*a^(6) + (4305530116317730134664915)/(33540230305117929621876)*a^(4) + (793086459292474424682863)/(33540230305117929621876)*a^(2) - (98058272162736025684129)/(8385057576279482405469) , (2995238244584165375)/(33540230305117929621876)*a^(21) - (102017649022108752795)/(245961688904198150560424)*a^(20) - (3373260334632334470085)/(737885066712594451681272)*a^(19) + (7824849687875099862571)/(368942533356297225840636)*a^(18) + (23584681762933441549897)/(368942533356297225840636)*a^(17) - (27262684976003440884178)/(92235633339074306460159)*a^(16) - (15537330061995085268003)/(122980844452099075280212)*a^(15) + (416231901295597611267689)/(737885066712594451681272)*a^(14) - (205816877592485205972284)/(92235633339074306460159)*a^(13) + (966693256544531686253597)/(92235633339074306460159)*a^(12) + (1566300581776947107925349)/(368942533356297225840636)*a^(11) - (14282664258338020510307051)/(737885066712594451681272)*a^(10) + (8294152915984383775992625)/(245961688904198150560424)*a^(9) - (14774030500532286348777545)/(92235633339074306460159)*a^(8) + (24871533561161086842497615)/(737885066712594451681272)*a^(7) - (14614881586231867110616489)/(92235633339074306460159)*a^(6) - (3372666730847264006934187)/(737885066712594451681272)*a^(5) + (3013698215086253778172043)/(67080460610235859243752)*a^(4) - (503052556698507625257289)/(67080460610235859243752)*a^(3) + (3422458688616157211556037)/(67080460610235859243752)*a^(2) + (23315648344645503866437)/(11180076768372643207292)*a - (87404271661363446838192)/(8385057576279482405469) , (143166021002683745597)/(737885066712594451681272)*a^(21) + (24581833206434642113)/(184471266678148612920318)*a^(20) - (604299001175770027167)/(61490422226049537640106)*a^(19) - (5038223311729538114027)/(737885066712594451681272)*a^(18) + (49264648021670233239325)/(368942533356297225840636)*a^(17) + (70614059560650973509319)/(737885066712594451681272)*a^(16) - (36837797451437385032023)/(184471266678148612920318)*a^(15) - (141844641811014563911829)/(737885066712594451681272)*a^(14) - (460755019708573068235738)/(92235633339074306460159)*a^(13) - (819612311397050147388799)/(245961688904198150560424)*a^(12) + (4892637465719735840279393)/(737885066712594451681272)*a^(11) + (2400821423820114355926329)/(368942533356297225840636)*a^(10) + (57599690277617282962573679)/(737885066712594451681272)*a^(9) + (18636150589757014061579501)/(368942533356297225840636)*a^(8) + (82720697913905261677114213)/(737885066712594451681272)*a^(7) + (1447364223101826737066965)/(30745211113024768820053)*a^(6) + (25032974735775597678398717)/(737885066712594451681272)*a^(5) - (1118614884725452001037121)/(67080460610235859243752)*a^(4) - (102833425071044102468583)/(11180076768372643207292)*a^(3) - (364713142165822165685875)/(22360153536745286414584)*a^(2) - (33076699791402938610779)/(33540230305117929621876)*a + (30952992429094953514874)/(8385057576279482405469) , (104777998717382018063)/(122980844452099075280212)*a^(21) + (35698853374715600583)/(122980844452099075280212)*a^(20) - (1426224617280888503003)/(33540230305117929621876)*a^(19) - (5375618208828383011883)/(368942533356297225840636)*a^(18) + (102257188261501359518555)/(184471266678148612920318)*a^(17) + (23739112124528491886091)/(122980844452099075280212)*a^(16) - (13546447268133658013901)/(30745211113024768820053)*a^(15) - (76166151024658246584199)/(368942533356297225840636)*a^(14) - (8340867880287264363615773)/(368942533356297225840636)*a^(13) - (2812528556249202497595979)/(368942533356297225840636)*a^(12) + (4756468516143379179101389)/(368942533356297225840636)*a^(11) + (802178819961545917690229)/(122980844452099075280212)*a^(10) + (11225218098272435851070604)/(30745211113024768820053)*a^(9) + (44937468916234604995253627)/(368942533356297225840636)*a^(8) + (275069778687211677917062171)/(368942533356297225840636)*a^(7) + (81318598015362975943861853)/(368942533356297225840636)*a^(6) + (184790136721808584736438341)/(368942533356297225840636)*a^(5) + (669977938057307198562081)/(5590038384186321603646)*a^(4) + (585117997297813852755503)/(11180076768372643207292)*a^(3) + (35064238168654511503255)/(33540230305117929621876)*a^(2) - (1186327491792178935357899)/(33540230305117929621876)*a - (63356091541508129661934)/(8385057576279482405469) , (942965079670547676263)/(737885066712594451681272)*a^(21) - (232023886763341521395)/(737885066712594451681272)*a^(20) - (11743608009669169433455)/(184471266678148612920318)*a^(19) + (1457968663282642343168)/(92235633339074306460159)*a^(18) + (608992187239826057267713)/(737885066712594451681272)*a^(17) - (155170435161336294784165)/(737885066712594451681272)*a^(16) - (425691244550106804953045)/(737885066712594451681272)*a^(15) + (176621357984767227997075)/(737885066712594451681272)*a^(14) - (25122154876909185447567691)/(737885066712594451681272)*a^(13) + (276455752430810079951263)/(33540230305117929621876)*a^(12) + (11994945064597167827288347)/(737885066712594451681272)*a^(11) - (2844244803784576130624087)/(368942533356297225840636)*a^(10) + (50926644338508577866203744)/(92235633339074306460159)*a^(9) - (96898539283591400355205427)/(737885066712594451681272)*a^(8) + (107552826717640166804847520)/(92235633339074306460159)*a^(7) - (1917066607771740513002194)/(8385057576279482405469)*a^(6) + (602055618032473888189922419)/(737885066712594451681272)*a^(5) - (949149331965529441166809)/(8385057576279482405469)*a^(4) + (3112831010711151535808471)/(33540230305117929621876)*a^(3) + (159488184363647100097851)/(22360153536745286414584)*a^(2) - (697876375241572703534711)/(11180076768372643207292)*a + (73483733643556137542284)/(8385057576279482405469) , (6687017527180461413)/(22360153536745286414584)*a^(21) + (20048229240807208913)/(122980844452099075280212)*a^(20) - (11204380804139230918861)/(737885066712594451681272)*a^(19) - (6102804692251889128151)/(737885066712594451681272)*a^(18) + (38300985851926596896929)/(184471266678148612920318)*a^(17) + (83231694113551806377249)/(737885066712594451681272)*a^(16) - (30493442492440211405866)/(92235633339074306460159)*a^(15) - (127663325352327502106375)/(737885066712594451681272)*a^(14) - (1892993800036367556119653)/(245961688904198150560424)*a^(13) - (521686675081541018713957)/(122980844452099075280212)*a^(12) + (1037150094323830403758439)/(92235633339074306460159)*a^(11) + (4479394581764404477034873)/(737885066712594451681272)*a^(10) + (88664615463204287454554263)/(737885066712594451681272)*a^(9) + (4489862334424656523241759)/(67080460610235859243752)*a^(8) + (19128129713970560407621247)/(122980844452099075280212)*a^(7) + (5167865619613740609040643)/(61490422226049537640106)*a^(6) + (11045420702835597785925409)/(737885066712594451681272)*a^(5) - (41033807279248585365475)/(8385057576279482405469)*a^(4) - (1057850379175308553567571)/(33540230305117929621876)*a^(3) - (211668267102097182407537)/(8385057576279482405469)*a^(2) + (155834611164543242162971)/(33540230305117929621876)*a + (37559631278236859701556)/(8385057576279482405469) , (594436553284280441461)/(368942533356297225840636)*a^(20) - (29784394678525871487461)/(368942533356297225840636)*a^(18) + (130870041695376911030149)/(122980844452099075280212)*a^(16) - (386177403801452065363097)/(368942533356297225840636)*a^(14) - (1424484420189107164528235)/(33540230305117929621876)*a^(12) + (4008667829832861442150349)/(122980844452099075280212)*a^(10) + (251185664402380533597282547)/(368942533356297225840636)*a^(8) + (42939901330350063369484315)/(33540230305117929621876)*a^(6) + (4194121989333897840958429)/(5590038384186321603646)*a^(4) + (331385752662450711063243)/(11180076768372643207292)*a^(2) - (474722530023588292508299)/(8385057576279482405469) , (56969465529929546323)/(16770115152558964810938)*a^(21) - (133861119838281498251)/(184471266678148612920318)*a^(20) - (63502557478005561672071)/(368942533356297225840636)*a^(19) + (1254751786082146268789)/(33540230305117929621876)*a^(18) + (1727116028256905351908477)/(737885066712594451681272)*a^(17) - (393010338966731800264363)/(737885066712594451681272)*a^(16) - (1303848921696212276037929)/(368942533356297225840636)*a^(15) + (294968473397134979577029)/(245961688904198150560424)*a^(14) - (5862332468858622041989549)/(67080460610235859243752)*a^(13) + (6637024779646865044871473)/(368942533356297225840636)*a^(12) + (21667082580813131595948403)/(184471266678148612920318)*a^(11) - (30738937149514764726950617)/(737885066712594451681272)*a^(10) + (503229434589584101193330047)/(368942533356297225840636)*a^(9) - (33041156253496863980647803)/(122980844452099075280212)*a^(8) + (717263331829171608111543527)/(368942533356297225840636)*a^(7) - (115619097466245719625675421)/(737885066712594451681272)*a^(6) + (210585584645624182388859857)/(368942533356297225840636)*a^(5) + (16047241353893455626545215)/(67080460610235859243752)*a^(4) - (3690739118351239103296091)/(22360153536745286414584)*a^(3) + (8609341001732444466901663)/(67080460610235859243752)*a^(2) - (150802457127982160275841)/(16770115152558964810938)*a - (96739540996975358873659)/(2795019192093160801823) , (207870071238049012225)/(122980844452099075280212)*a^(21) + (152277946236687602803)/(737885066712594451681272)*a^(20) - (31324402924533551827391)/(368942533356297225840636)*a^(19) - (710494167142863703355)/(67080460610235859243752)*a^(18) + (415873175466295668731069)/(368942533356297225840636)*a^(17) + (36661772624075127645555)/(245961688904198150560424)*a^(16) - (921157658470818591890069)/(737885066712594451681272)*a^(15) - (227271145811385542723257)/(737885066712594451681272)*a^(14) - (16335050895841094412914095)/(368942533356297225840636)*a^(13) - (1271299125722214196440837)/(245961688904198150560424)*a^(12) + (14576767124883216735527063)/(368942533356297225840636)*a^(11) + (2613923994637978772860643)/(245961688904198150560424)*a^(10) + (520230352102352332408877557)/(737885066712594451681272)*a^(9) + (57663946958320310631203465)/(737885066712594451681272)*a^(8) + (931372611389723682874359673)/(737885066712594451681272)*a^(7) + (15662300091572708579307549)/(245961688904198150560424)*a^(6) + (23232961860681998073895597)/(33540230305117929621876)*a^(5) - (119094584918935220347038)/(2795019192093160801823)*a^(4) + (1511287963885523577757535)/(67080460610235859243752)*a^(3) - (2208598701381704236541041)/(67080460610235859243752)*a^(2) - (1525416856572009897377185)/(33540230305117929621876)*a + (43934855311500188511988)/(8385057576279482405469) , (1409888569475465939345)/(737885066712594451681272)*a^(21) - (92452498553354531327)/(245961688904198150560424)*a^(20) - (2982869922973317217014)/(30745211113024768820053)*a^(19) + (7024116270758087150723)/(368942533356297225840636)*a^(18) + (979221531273457294208857)/(737885066712594451681272)*a^(17) - (190840135626187777115857)/(737885066712594451681272)*a^(16) - (1572512996194504494161621)/(737885066712594451681272)*a^(15) + (25825358676705084006127)/(67080460610235859243752)*a^(14) - (36114196020695010059270851)/(737885066712594451681272)*a^(13) + (3577484874203120221513237)/(368942533356297225840636)*a^(12) + (52728994454316236617129483)/(737885066712594451681272)*a^(11) - (1182354132473100406397321)/(92235633339074306460159)*a^(10) + (70096896424155238009268447)/(92235633339074306460159)*a^(9) - (112308567463192373761017517)/(737885066712594451681272)*a^(8) + (93070232601433413486352960)/(92235633339074306460159)*a^(7) - (80091100996417803568301021)/(368942533356297225840636)*a^(6) + (149717563115659498492422685)/(737885066712594451681272)*a^(5) - (415770763977805376848387)/(8385057576279482405469)*a^(4) - (1036617583957705201982203)/(8385057576279482405469)*a^(3) + (2289671002834496129639437)/(67080460610235859243752)*a^(2) + (50660647304804374748654)/(8385057576279482405469)*a - (18506075095036413541757)/(8385057576279482405469) ], 25075662257500, [[x^11 - x^10 - 20*x^9 + 30*x^8 + 105*x^7 - 207*x^6 - 63*x^5 + 240*x^4 - 15*x^3 - 80*x^2 + 11*x + 4, 1]]]