/* 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 - 5*x^19 + 15*x^18 - 37*x^17 + 78*x^16 - 139*x^15 + 219*x^14 - 307*x^13 + 386*x^12 - 442*x^11 + 463*x^10 - 442*x^9 + 386*x^8 - 307*x^7 + 219*x^6 - 139*x^5 + 78*x^4 - 37*x^3 + 15*x^2 - 5*x + 1, 20, 669, [0, 10], 709000307415298179856, [2, 83, 983], [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, 1/62*a^18 - 9/31*a^17 - 19/62*a^15 + 15/62*a^14 - 5/62*a^13 + 21/62*a^12 - 17/62*a^11 + 14/31*a^10 + 17/62*a^9 + 14/31*a^8 - 17/62*a^7 + 21/62*a^6 - 5/62*a^5 + 15/62*a^4 - 19/62*a^3 - 9/31*a + 1/62, 1/3782*a^19 - 3/1891*a^18 - 325/1891*a^17 + 1345/3782*a^16 - 1267/3782*a^15 - 1251/3782*a^14 - 1031/3782*a^13 + 297/3782*a^12 + 563/1891*a^11 - 1507/3782*a^10 - 845/1891*a^9 + 1187/3782*a^8 - 679/3782*a^7 + 433/3782*a^6 + 823/3782*a^5 - 1389/3782*a^4 - 517/1891*a^3 - 691/1891*a^2 + 1397/3782*a - 335/1891], 0, 1, [], 0, [ (2634)/(1891)*a^(19) - (12571)/(1891)*a^(18) + (37502)/(1891)*a^(17) - (93663)/(1891)*a^(16) + (197977)/(1891)*a^(15) - (353409)/(1891)*a^(14) + (562303)/(1891)*a^(13) - (793088)/(1891)*a^(12) + (1001013)/(1891)*a^(11) - (1152092)/(1891)*a^(10) + (1206534)/(1891)*a^(9) - (1149237)/(1891)*a^(8) + (1002508)/(1891)*a^(7) - (792263)/(1891)*a^(6) + (17923)/(61)*a^(5) - (348156)/(1891)*a^(4) + (187669)/(1891)*a^(3) - (81326)/(1891)*a^(2) + (30495)/(1891)*a - (8590)/(1891) , (599)/(1891)*a^(19) - (2008)/(1891)*a^(18) + (3795)/(1891)*a^(17) - (7475)/(1891)*a^(16) + (12717)/(1891)*a^(15) - (14543)/(1891)*a^(14) + (15550)/(1891)*a^(13) - (15711)/(1891)*a^(12) + (12136)/(1891)*a^(11) - (13008)/(1891)*a^(10) + (14991)/(1891)*a^(9) - (14216)/(1891)*a^(8) + (16375)/(1891)*a^(7) - (21233)/(1891)*a^(6) + (17970)/(1891)*a^(5) - (17783)/(1891)*a^(4) + (16132)/(1891)*a^(3) - (9015)/(1891)*a^(2) + (4580)/(1891)*a - (2634)/(1891) , (5240)/(1891)*a^(19) - (24730)/(1891)*a^(18) + (71793)/(1891)*a^(17) - (173929)/(1891)*a^(16) + (358718)/(1891)*a^(15) - (622746)/(1891)*a^(14) + (959372)/(1891)*a^(13) - (1307609)/(1891)*a^(12) + (1595714)/(1891)*a^(11) - (1774842)/(1891)*a^(10) + (1797013)/(1891)*a^(9) - (1653573)/(1891)*a^(8) + (1388286)/(1891)*a^(7) - (1050700)/(1891)*a^(6) + (703089)/(1891)*a^(5) - (413603)/(1891)*a^(4) + (208663)/(1891)*a^(3) - (84245)/(1891)*a^(2) + (30719)/(1891)*a - (7631)/(1891) , (1183)/(3782)*a^(19) - (2523)/(3782)*a^(18) + (1716)/(1891)*a^(17) - (4869)/(3782)*a^(16) - (564)/(1891)*a^(15) + (12926)/(1891)*a^(14) - (31282)/(1891)*a^(13) + (64869)/(1891)*a^(12) - (213133)/(3782)*a^(11) + (289267)/(3782)*a^(10) - (355747)/(3782)*a^(9) + (390157)/(3782)*a^(8) - (187122)/(1891)*a^(7) + (168005)/(1891)*a^(6) - (133535)/(1891)*a^(5) + (90143)/(1891)*a^(4) - (107471)/(3782)*a^(3) + (27824)/(1891)*a^(2) - (18139)/(3782)*a + (6185)/(3782) , (3301)/(3782)*a^(19) - (18037)/(3782)*a^(18) + (26944)/(1891)*a^(17) - (132593)/(3782)*a^(16) + (140410)/(1891)*a^(15) - (249385)/(1891)*a^(14) + (389140)/(1891)*a^(13) - (544514)/(1891)*a^(12) + (1349577)/(3782)*a^(11) - (1528839)/(3782)*a^(10) + (1584235)/(3782)*a^(9) - (1485825)/(3782)*a^(8) + (638032)/(1891)*a^(7) - (497800)/(1891)*a^(6) + (342254)/(1891)*a^(5) - (208632)/(1891)*a^(4) + (225477)/(3782)*a^(3) - (47720)/(1891)*a^(2) + (33691)/(3782)*a - (12559)/(3782) , (936)/(1891)*a^(19) - (7145)/(3782)*a^(18) + (10994)/(1891)*a^(17) - (26960)/(1891)*a^(16) + (107155)/(3782)*a^(15) - (185339)/(3782)*a^(14) + (288477)/(3782)*a^(13) - (375547)/(3782)*a^(12) + (453735)/(3782)*a^(11) - (245208)/(1891)*a^(10) + (472225)/(3782)*a^(9) - (210289)/(1891)*a^(8) + (334859)/(3782)*a^(7) - (226851)/(3782)*a^(6) + (136009)/(3782)*a^(5) - (69257)/(3782)*a^(4) + (17633)/(3782)*a^(3) - (108)/(1891)*a^(2) + (57)/(1891)*a + (5471)/(3782) , (197)/(62)*a^(19) - (461)/(31)*a^(18) + (1308)/(31)*a^(17) - (6285)/(62)*a^(16) + (12929)/(62)*a^(15) - (22261)/(62)*a^(14) + (34107)/(62)*a^(13) - (46515)/(62)*a^(12) + (28349)/(31)*a^(11) - (63237)/(62)*a^(10) + (32223)/(31)*a^(9) - (59581)/(62)*a^(8) + (50483)/(62)*a^(7) - (38757)/(62)*a^(6) + (26415)/(62)*a^(5) - (15905)/(62)*a^(4) + (4243)/(31)*a^(3) - (1835)/(31)*a^(2) + (1387)/(62)*a - (207)/(31) , (4413)/(1891)*a^(19) - (45575)/(3782)*a^(18) + (66138)/(1891)*a^(17) - (159208)/(1891)*a^(16) + (21367)/(122)*a^(15) - (1154141)/(3782)*a^(14) + (1766995)/(3782)*a^(13) - (2423927)/(3782)*a^(12) + (2955833)/(3782)*a^(11) - (1645585)/(1891)*a^(10) + (3351791)/(3782)*a^(9) - (1545457)/(1891)*a^(8) + (2595397)/(3782)*a^(7) - (1983773)/(3782)*a^(6) + (1334537)/(3782)*a^(5) - (787471)/(3782)*a^(4) + (408033)/(3782)*a^(3) - (85386)/(1891)*a^(2) + (28422)/(1891)*a - (21247)/(3782) , (7059)/(3782)*a^(19) - (13979)/(1891)*a^(18) + (36452)/(1891)*a^(17) - (168655)/(3782)*a^(16) + (332273)/(3782)*a^(15) - (17429)/(122)*a^(14) + (800401)/(3782)*a^(13) - (1046563)/(3782)*a^(12) + (618241)/(1891)*a^(11) - (1343343)/(3782)*a^(10) + (668224)/(1891)*a^(9) - (1198577)/(3782)*a^(8) + (994497)/(3782)*a^(7) - (744607)/(3782)*a^(6) + (491943)/(3782)*a^(5) - (292855)/(3782)*a^(4) + (77048)/(1891)*a^(3) - (31136)/(1891)*a^(2) + (26271)/(3782)*a - (1381)/(1891) ], 103.364702597, [[x^5 - 6*x^3 + 8*x - 1, 1], [x^10 - x^8 - x^5 - x^2 + 1, 1], [x^10 - 3*x^9 + 2*x^8 + x^7 - 4*x^6 + 4*x^5 - 4*x^4 + x^3 + 2*x^2 - 3*x + 1, 1], [x^10 - 2*x^9 - 2*x^8 + 4*x^7 - 4*x^5 + 4*x^3 - 2*x^2 - 2*x + 1, 1]]]