/* 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^20 - 50*x^18 + 1073*x^16 - 12924*x^14 + 95854*x^12 - 451496*x^10 + 1341646*x^8 - 2405876*x^6 + 2340241*x^4 - 936630*x^2 + 17345, 20, 771, [20, 0], 105354091924918286208204800000000000, [2, 5, 3469], [1, a, a^2, a^3, 1/2*a^4 - 1/2, 1/2*a^5 - 1/2*a, 1/2*a^6 - 1/2*a^2, 1/4*a^7 - 1/4*a^6 - 1/4*a^5 - 1/4*a^4 - 1/4*a^3 + 1/4*a^2 + 1/4*a + 1/4, 1/4*a^8 - 1/4, 1/4*a^9 - 1/4*a, 1/8*a^10 - 1/8*a^8 - 1/4*a^6 - 1/4*a^4 + 1/8*a^2 + 3/8, 1/8*a^11 - 1/8*a^9 - 1/4*a^6 - 1/4*a^4 - 1/8*a^3 + 1/4*a^2 + 1/8*a + 1/4, 1/8*a^12 - 1/8*a^8 - 1/8*a^4 + 1/8, 1/8*a^13 - 1/8*a^9 - 1/8*a^5 + 1/8*a, 1/16*a^14 - 1/16*a^12 - 1/16*a^10 + 1/16*a^8 - 1/16*a^6 + 1/16*a^4 + 1/16*a^2 - 1/16, 1/16*a^15 - 1/16*a^13 - 1/16*a^11 + 1/16*a^9 - 1/16*a^7 + 1/16*a^5 + 1/16*a^3 - 1/16*a, 1/80*a^16 + 1/80*a^14 - 1/16*a^12 - 3/80*a^10 + 1/80*a^8 - 13/80*a^6 + 9/80*a^4 + 3/16*a^2 + 1/8, 1/160*a^17 - 1/160*a^16 - 1/40*a^15 + 1/40*a^14 - 1/20*a^11 + 1/20*a^10 + 3/80*a^9 - 3/80*a^8 + 3/40*a^7 - 3/40*a^6 - 1/10*a^5 + 1/10*a^4 - 11/32*a + 11/32, 1/6402462560*a^18 - 7804773/1280492512*a^16 + 97653067/3201231280*a^14 + 33968991/3201231280*a^12 - 6120073/123124280*a^10 + 47931347/800307820*a^8 - 27561319/3201231280*a^6 + 768170453/3201231280*a^4 + 310567567/1280492512*a^2 - 500968219/1280492512, 1/6402462560*a^19 + 495763/3201231280*a^17 - 1/160*a^16 + 3524457/640246256*a^15 + 1/40*a^14 + 33968991/3201231280*a^13 + 389281/15390535*a^11 + 1/20*a^10 - 88382349/3201231280*a^9 - 3/80*a^8 + 212531027/3201231280*a^7 + 7/40*a^6 + 89609465/640246256*a^5 - 3/20*a^4 + 150506003/1280492512*a^3 - 1/4*a^2 + 124854139/320123128*a - 13/32], 0, 1, [], 1, [ (12229)/(48873760)*a^(18) - (513863)/(48873760)*a^(16) + (4464219)/(24436880)*a^(14) - (41551331)/(24436880)*a^(12) + (1727323)/(187976)*a^(10) - (178725193)/(6109220)*a^(8) + (1297117521)/(24436880)*a^(6) - (1200978329)/(24436880)*a^(4) + (156157035)/(9774752)*a^(2) + (12957339)/(9774752) , (16619047)/(6402462560)*a^(18) - (721048943)/(6402462560)*a^(16) + (1308233267)/(640246256)*a^(14) - (64501189013)/(3201231280)*a^(12) + (1806978412)/(15390535)*a^(10) - (657883119099)/(1600615640)*a^(8) + (2678430005389)/(3201231280)*a^(6) - (573025653963)/(640246256)*a^(4) + (487190445229)/(1280492512)*a^(2) - (6523452553)/(1280492512) , (1868841)/(492497120)*a^(18) - (80612881)/(492497120)*a^(16) + (363299857)/(123124280)*a^(14) - (3557613857)/(123124280)*a^(12) + (41165203661)/(246248560)*a^(10) - (28627620157)/(49249712)*a^(8) + (28982131151)/(24624856)*a^(6) - (154663751047)/(123124280)*a^(4) + (52960181161)/(98499424)*a^(2) - (1005353161)/(98499424) , (11504309)/(6402462560)*a^(18) - (486073009)/(6402462560)*a^(16) + (2138643853)/(1600615640)*a^(14) - (5094386467)/(400153910)*a^(12) + (17595238593)/(246248560)*a^(10) - (154005799055)/(640246256)*a^(8) + (150904539223)/(320123128)*a^(6) - (97544819011)/(200076955)*a^(4) + (259055322621)/(1280492512)*a^(2) - (5194353909)/(1280492512) , (16619047)/(6402462560)*a^(18) - (721048943)/(6402462560)*a^(16) + (1308233267)/(640246256)*a^(14) - (64501189013)/(3201231280)*a^(12) + (1806978412)/(15390535)*a^(10) - (657883119099)/(1600615640)*a^(8) + (2678430005389)/(3201231280)*a^(6) - (573025653963)/(640246256)*a^(4) + (487190445229)/(1280492512)*a^(2) - (5242960041)/(1280492512) , (6756379)/(3201231280)*a^(18) - (291332257)/(3201231280)*a^(16) + (5245065119)/(3201231280)*a^(14) - (51214281707)/(3201231280)*a^(12) + (22666830999)/(246248560)*a^(10) - (1014767901443)/(3201231280)*a^(8) + (2022630568289)/(3201231280)*a^(6) - (2108364122109)/(3201231280)*a^(4) + (87373719921)/(320123128)*a^(2) - (734160333)/(160061564) , (1396101)/(1600615640)*a^(18) - (62011519)/(1600615640)*a^(16) + (461720669)/(640246256)*a^(14) - (23402208061)/(3201231280)*a^(12) + (10802327839)/(246248560)*a^(10) - (506900692891)/(3201231280)*a^(8) + (1064028489183)/(3201231280)*a^(6) - (234268619879)/(640246256)*a^(4) + (102965322791)/(640246256)*a^(2) - (2245920683)/(640246256) , (2971347)/(6402462560)*a^(18) - (125418417)/(6402462560)*a^(16) + (276070687)/(800307820)*a^(14) - (1320796801)/(400153910)*a^(12) + (4617148429)/(246248560)*a^(10) - (41555758747)/(640246256)*a^(8) + (21557101971)/(160061564)*a^(6) - (30893163753)/(200076955)*a^(4) + (94469496143)/(1280492512)*a^(2) + (4043622275)/(1280492512) , (1384547)/(6402462560)*a^(18) - (73701097)/(6402462560)*a^(16) + (204418887)/(800307820)*a^(14) - (4914423329)/(1600615640)*a^(12) + (5349083329)/(246248560)*a^(10) - (58768512033)/(640246256)*a^(8) + (35756543259)/(160061564)*a^(6) - (449843432839)/(1600615640)*a^(4) + (174632515223)/(1280492512)*a^(2) - (3583397321)/(1280492512) , (333547)/(320123128)*a^(19) - (21111669)/(6402462560)*a^(18) - (9179357)/(200076955)*a^(17) + (922946237)/(6402462560)*a^(16) + (169454043)/(200076955)*a^(15) - (8436154437)/(3201231280)*a^(14) - (2726810779)/(320123128)*a^(13) + (83770180271)/(3201231280)*a^(12) + (6244112761)/(123124280)*a^(11) - (18882930721)/(123124280)*a^(10) - (145219283923)/(800307820)*a^(9) + (215700767543)/(400153910)*a^(8) + (75394756041)/(200076955)*a^(7) - (3521231592447)/(3201231280)*a^(6) - (656606647609)/(1600615640)*a^(5) + (3779309046917)/(3201231280)*a^(4) + (14352006875)/(80030782)*a^(3) - (650561565315)/(1280492512)*a^(2) - (982220261)/(160061564)*a + (11782516303)/(1280492512) , (10670241)/(6402462560)*a^(19) - (27526303)/(6402462560)*a^(18) - (448079589)/(6402462560)*a^(17) + (234596997)/(1280492512)*a^(16) + (390645819)/(320123128)*a^(15) - (10427006611)/(3201231280)*a^(14) - (2294030899)/(200076955)*a^(13) + (100541719867)/(3201231280)*a^(12) + (15520295001)/(246248560)*a^(11) - (22004711801)/(123124280)*a^(10) - (658890689019)/(3201231280)*a^(9) + (122268448041)/(200076955)*a^(8) + (618056409811)/(1600615640)*a^(7) - (3900483949953)/(3201231280)*a^(6) - (59986933683)/(160061564)*a^(5) + (4111433175081)/(3201231280)*a^(4) + (177626182441)/(1280492512)*a^(3) - (697448996129)/(1280492512)*a^(2) + (4616756567)/(1280492512)*a + (13384086835)/(1280492512) , (3804857)/(6402462560)*a^(19) - (3420909)/(3201231280)*a^(18) - (156467871)/(6402462560)*a^(17) + (28892509)/(640246256)*a^(16) + (82850116)/(200076955)*a^(15) - (2533800431)/(3201231280)*a^(14) - (5981678799)/(1600615640)*a^(13) + (23946173917)/(3201231280)*a^(12) + (4767957181)/(246248560)*a^(11) - (10178605477)/(246248560)*a^(10) - (184286935637)/(3201231280)*a^(9) + (433890765751)/(3201231280)*a^(8) + (36341116107)/(400153910)*a^(7) - (816314471633)/(3201231280)*a^(6) - (88301131793)/(1600615640)*a^(5) + (795150826891)/(3201231280)*a^(4) - (23648162559)/(1280492512)*a^(3) - (29965692421)/(320123128)*a^(2) + (32880124181)/(1280492512)*a - (62014982)/(40015391) , (10104)/(200076955)*a^(19) - (3193279)/(1600615640)*a^(18) - (3798541)/(1600615640)*a^(17) + (277425979)/(3201231280)*a^(16) + (73350777)/(1600615640)*a^(15) - (5036161233)/(3201231280)*a^(14) - (749530681)/(1600615640)*a^(13) + (49642406209)/(3201231280)*a^(12) + (41667329)/(15390535)*a^(11) - (22221342923)/(246248560)*a^(10) - (6936880217)/(800307820)*a^(9) + (1009251967141)/(3201231280)*a^(8) + (20968762527)/(1600615640)*a^(7) - (2051349905003)/(3201231280)*a^(6) - (2617993227)/(1600615640)*a^(5) + (2198114880283)/(3201231280)*a^(4) - (712526899)/(40015391)*a^(3) - (189000833627)/(640246256)*a^(2) + (4553860463)/(320123128)*a + (777070725)/(160061564) , (6904149)/(6402462560)*a^(19) + (1072723)/(3201231280)*a^(18) - (309897079)/(6402462560)*a^(17) - (7047283)/(400153910)*a^(16) + (1463058863)/(1600615640)*a^(15) + (1239493483)/(3201231280)*a^(14) - (15120898133)/(1600615640)*a^(13) - (14800919299)/(3201231280)*a^(12) + (14320798193)/(246248560)*a^(11) + (8014409633)/(246248560)*a^(10) - (139006501715)/(640246256)*a^(9) - (438272901871)/(3201231280)*a^(8) + (152836453091)/(320123128)*a^(7) + (1062110416213)/(3201231280)*a^(6) - (906122892173)/(1600615640)*a^(5) - (1336619939013)/(3201231280)*a^(4) + (374342063397)/(1280492512)*a^(3) + (8367752526)/(40015391)*a^(2) - (38190726343)/(1280492512)*a - (4473908253)/(640246256) , (1262751)/(800307820)*a^(19) - (9123807)/(3201231280)*a^(18) - (449167867)/(6402462560)*a^(17) + (815644897)/(6402462560)*a^(16) + (838836707)/(640246256)*a^(15) - (7654972287)/(3201231280)*a^(14) - (42784309267)/(3201231280)*a^(13) + (78406636601)/(3201231280)*a^(12) + (19954011183)/(246248560)*a^(11) - (36625424627)/(246248560)*a^(10) - (475876330141)/(1600615640)*a^(9) + (435016126031)/(800307820)*a^(8) + (2053734538281)/(3201231280)*a^(7) - (3695070590917)/(3201231280)*a^(6) - (478069604501)/(640246256)*a^(5) + (4109451680727)/(3201231280)*a^(4) + (243040737205)/(640246256)*a^(3) - (180708821367)/(320123128)*a^(2) - (50741038789)/(1280492512)*a + (8511822043)/(1280492512) , (18480211)/(6402462560)*a^(19) + (2237369)/(640246256)*a^(18) - (24949069)/(200076955)*a^(17) - (957619543)/(6402462560)*a^(16) + (1802220207)/(800307820)*a^(15) + (4267972003)/(1600615640)*a^(14) - (35378632817)/(1600615640)*a^(13) - (8227841385)/(320123128)*a^(12) + (31601909923)/(246248560)*a^(11) + (17906482237)/(123124280)*a^(10) - (718735195393)/(1600615640)*a^(9) - (1569665186079)/(3201231280)*a^(8) + (184095493863)/(200076955)*a^(7) + (1523212034991)/(1600615640)*a^(6) - (1609284533619)/(1600615640)*a^(5) - (1534374035143)/(1600615640)*a^(4) + (577359379579)/(1280492512)*a^(3) + (242308714777)/(640246256)*a^(2) - (3350093359)/(320123128)*a - (9620735967)/(1280492512) , (7740049)/(6402462560)*a^(19) - (2405069)/(800307820)*a^(18) - (166053731)/(3201231280)*a^(17) + (830481673)/(6402462560)*a^(16) + (2968429697)/(3201231280)*a^(15) - (1496237671)/(640246256)*a^(14) - (28682980371)/(3201231280)*a^(13) + (73075724113)/(3201231280)*a^(12) + (3123191033)/(61562140)*a^(11) - (32343101387)/(246248560)*a^(10) - (544724441419)/(3201231280)*a^(9) + (723635284069)/(1600615640)*a^(8) + (1034009068127)/(3201231280)*a^(7) - (2879161769669)/(3201231280)*a^(6) - (965252607537)/(3201231280)*a^(5) + (595687193847)/(640246256)*a^(4) + (108778686331)/(1280492512)*a^(3) - (239955796945)/(640246256)*a^(2) + (4420662645)/(320123128)*a + (8928261759)/(1280492512) , (9616331)/(6402462560)*a^(19) - (12653257)/(6402462560)*a^(18) - (106327571)/(1600615640)*a^(17) + (276227761)/(3201231280)*a^(16) + (394749867)/(320123128)*a^(15) - (5059117353)/(3201231280)*a^(14) - (19997659207)/(1600615640)*a^(13) + (50566049003)/(3201231280)*a^(12) + (18510484421)/(246248560)*a^(11) - (1443162004)/(15390535)*a^(10) - (437379575427)/(1600615640)*a^(9) + (215306478323)/(640246256)*a^(8) + (931165534581)/(1600615640)*a^(7) - (451214035075)/(640246256)*a^(6) - (211042376807)/(320123128)*a^(5) + (2490676301073)/(3201231280)*a^(4) + (399099196775)/(1280492512)*a^(3) - (436423602811)/(1280492512)*a^(2) - (839164509)/(40015391)*a + (685207749)/(160061564) , (4331689)/(6402462560)*a^(19) - (6889031)/(6402462560)*a^(18) - (5930367)/(200076955)*a^(17) + (147007761)/(3201231280)*a^(16) + (108658811)/(200076955)*a^(15) - (1307381623)/(1600615640)*a^(14) - (8648604423)/(1600615640)*a^(13) + (6296383711)/(800307820)*a^(12) + (7801101503)/(246248560)*a^(11) - (2198666647)/(49249712)*a^(10) - (4436162390)/(40015391)*a^(9) + (30418871983)/(200076955)*a^(8) + (35558534295)/(160061564)*a^(7) - (483570213147)/(1600615640)*a^(6) - (358165535973)/(1600615640)*a^(5) + (255128855309)/(800307820)*a^(4) + (88956115109)/(1280492512)*a^(3) - (174190487303)/(1280492512)*a^(2) + (1791428187)/(80030782)*a - (374380077)/(640246256) ], 176490005259, [[x^2 - x - 1, 1], [x^10 - 3*x^9 - 7*x^8 + 20*x^7 + 21*x^6 - 41*x^5 - 33*x^4 + 22*x^3 + 17*x^2 - x - 1, 1]]]