/* 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 - 4*x^19 + 10*x^18 - 17*x^17 + 26*x^16 - 29*x^15 + 24*x^14 - 5*x^13 - 7*x^12 + 20*x^11 - 14*x^10 + 8*x^9 + 12*x^8 + x^7 - 6*x^6 + 9*x^5 + 9*x^4 - 2*x^3 - x^2 + x + 1, 20, 669, [0, 10], 1083064869622628748241, [37, 4903], [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, 1/1722023*a^19 + 166001/1722023*a^18 - 538054/1722023*a^17 - 43300/1722023*a^16 - 292472/1722023*a^15 + 624096/1722023*a^14 - 735268/1722023*a^13 + 547918/1722023*a^12 - 127277/1722023*a^11 + 603845/1722023*a^10 + 608358/1722023*a^9 + 708940/1722023*a^8 - 633177/1722023*a^7 + 14013/1722023*a^6 - 225014/1722023*a^5 + 673855/1722023*a^4 + 685204/1722023*a^3 + 782776/1722023*a^2 - 847724/1722023*a + 740987/1722023], 0, 1, [], 0, [ (207632)/(1722023)*a^(19) - (892736)/(1722023)*a^(18) + (2458043)/(1722023)*a^(17) - (4949586)/(1722023)*a^(16) + (9204906)/(1722023)*a^(15) - (13706262)/(1722023)*a^(14) + (18003919)/(1722023)*a^(13) - (19081572)/(1722023)*a^(12) + (20051170)/(1722023)*a^(11) - (15003751)/(1722023)*a^(10) + (11089298)/(1722023)*a^(9) - (3340006)/(1722023)*a^(8) + (3483117)/(1722023)*a^(7) + (4494415)/(1722023)*a^(6) - (1622858)/(1722023)*a^(5) + (2936656)/(1722023)*a^(4) + (1902737)/(1722023)*a^(3) + (4815692)/(1722023)*a^(2) - (1492669)/(1722023)*a + (189872)/(1722023) , (403147)/(1722023)*a^(19) - (1896725)/(1722023)*a^(18) + (4937326)/(1722023)*a^(17) - (8728064)/(1722023)*a^(16) + (13203633)/(1722023)*a^(15) - (16126602)/(1722023)*a^(14) + (14838916)/(1722023)*a^(13) - (7890471)/(1722023)*a^(12) + (3222658)/(1722023)*a^(11) - (2369272)/(1722023)*a^(10) + (5464943)/(1722023)*a^(9) - (9177291)/(1722023)*a^(8) + (12725547)/(1722023)*a^(7) - (4102598)/(1722023)*a^(6) - (9601579)/(1722023)*a^(5) + (10049389)/(1722023)*a^(4) + (1339466)/(1722023)*a^(3) - (4138908)/(1722023)*a^(2) - (1258802)/(1722023)*a + (2190210)/(1722023) , (600097)/(1722023)*a^(19) - (2328453)/(1722023)*a^(18) + (5053400)/(1722023)*a^(17) - (7483145)/(1722023)*a^(16) + (9068537)/(1722023)*a^(15) - (6366981)/(1722023)*a^(14) - (3333775)/(1722023)*a^(13) + (16374633)/(1722023)*a^(12) - (24046049)/(1722023)*a^(11) + (22659374)/(1722023)*a^(10) - (14007527)/(1722023)*a^(9) - (1625085)/(1722023)*a^(8) + (10532965)/(1722023)*a^(7) - (4645117)/(1722023)*a^(6) - (6402928)/(1722023)*a^(5) + (2590937)/(1722023)*a^(4) + (5934871)/(1722023)*a^(3) - (3958829)/(1722023)*a^(2) - (38614)/(1722023)*a - (147367)/(1722023) , (1150634)/(1722023)*a^(19) - (3840572)/(1722023)*a^(18) + (8814862)/(1722023)*a^(17) - (12936925)/(1722023)*a^(16) + (18781803)/(1722023)*a^(15) - (15398642)/(1722023)*a^(14) + (7262011)/(1722023)*a^(13) + (13571620)/(1722023)*a^(12) - (17017813)/(1722023)*a^(11) + (26856012)/(1722023)*a^(10) - (8394574)/(1722023)*a^(9) + (3006791)/(1722023)*a^(8) + (20892921)/(1722023)*a^(7) + (3976939)/(1722023)*a^(6) - (878803)/(1722023)*a^(5) + (7564159)/(1722023)*a^(4) + (11453062)/(1722023)*a^(3) + (3492087)/(1722023)*a^(2) - (792942)/(1722023)*a + (252044)/(1722023) , (147367)/(1722023)*a^(19) + (10629)/(1722023)*a^(18) - (854783)/(1722023)*a^(17) + (2548161)/(1722023)*a^(16) - (3651603)/(1722023)*a^(15) + (4794894)/(1722023)*a^(14) - (2830173)/(1722023)*a^(13) - (4070610)/(1722023)*a^(12) + (15343064)/(1722023)*a^(11) - (21098709)/(1722023)*a^(10) + (20596236)/(1722023)*a^(9) - (12828591)/(1722023)*a^(8) + (143319)/(1722023)*a^(7) + (10680332)/(1722023)*a^(6) - (5529319)/(1722023)*a^(5) - (5076625)/(1722023)*a^(4) + (3917240)/(1722023)*a^(3) + (5640137)/(1722023)*a^(2) - (4106196)/(1722023)*a + (108753)/(1722023) , (317006)/(1722023)*a^(19) - (1709874)/(1722023)*a^(18) + (5197895)/(1722023)*a^(17) - (10446605)/(1722023)*a^(16) + (17281741)/(1722023)*a^(15) - (23432193)/(1722023)*a^(14) + (25885902)/(1722023)*a^(13) - (19220663)/(1722023)*a^(12) + (9758366)/(1722023)*a^(11) - (1032656)/(1722023)*a^(10) - (1385691)/(1722023)*a^(9) + (2177979)/(1722023)*a^(8) + (4980910)/(1722023)*a^(7) - (4058308)/(1722023)*a^(6) - (4595424)/(1722023)*a^(5) + (11179141)/(1722023)*a^(4) - (479973)/(1722023)*a^(3) - (5713736)/(1722023)*a^(2) + (148967)/(1722023)*a + (3055584)/(1722023) , (1408178)/(1722023)*a^(19) - (5666072)/(1722023)*a^(18) + (14314388)/(1722023)*a^(17) - (24825338)/(1722023)*a^(16) + (38045354)/(1722023)*a^(15) - (42675583)/(1722023)*a^(14) + (34933805)/(1722023)*a^(13) - (6996022)/(1722023)*a^(12) - (14293650)/(1722023)*a^(11) + (34503654)/(1722023)*a^(10) - (26646730)/(1722023)*a^(9) + (12205622)/(1722023)*a^(8) + (18645641)/(1722023)*a^(7) - (6751335)/(1722023)*a^(6) - (2366423)/(1722023)*a^(5) + (11120362)/(1722023)*a^(4) + (6992975)/(1722023)*a^(3) - (1366471)/(1722023)*a^(2) + (1385280)/(1722023)*a + (2419112)/(1722023) , (15421)/(1722023)*a^(19) - (746780)/(1722023)*a^(18) + (2820126)/(1722023)*a^(17) - (6472468)/(1722023)*a^(16) + (10099663)/(1722023)*a^(15) - (13978315)/(1722023)*a^(14) + (13007788)/(1722023)*a^(13) - (5689452)/(1722023)*a^(12) - (8242512)/(1722023)*a^(11) + (14691568)/(1722023)*a^(10) - (17312816)/(1722023)*a^(9) + (8049828)/(1722023)*a^(8) + (3091939)/(1722023)*a^(7) - (14656609)/(1722023)*a^(6) + (3379497)/(1722023)*a^(5) + (5997242)/(1722023)*a^(4) - (4968313)/(1722023)*a^(3) - (5358603)/(1722023)*a^(2) + (2568835)/(1722023)*a + (1137922)/(1722023) , (448229)/(1722023)*a^(19) - (2151601)/(1722023)*a^(18) + (6524899)/(1722023)*a^(17) - (13170651)/(1722023)*a^(16) + (22121155)/(1722023)*a^(15) - (28818688)/(1722023)*a^(14) + (30205874)/(1722023)*a^(13) - (17681245)/(1722023)*a^(12) - (342466)/(1722023)*a^(11) + (20817733)/(1722023)*a^(10) - (27918459)/(1722023)*a^(9) + (26671392)/(1722023)*a^(8) - (8570995)/(1722023)*a^(7) - (2628950)/(1722023)*a^(6) + (2808927)/(1722023)*a^(5) + (3684664)/(1722023)*a^(4) - (1386426)/(1722023)*a^(3) - (4448615)/(1722023)*a^(2) + (1948315)/(1722023)*a - (1602079)/(1722023) ], 109.689161601, [[x^5 - x^4 - x^3 + 2*x^2 - x - 1, 1], [x^10 - x^9 + 2*x^8 - 9*x^7 - 3*x^6 - 17*x^5 - 3*x^4 - 9*x^3 + 2*x^2 - x + 1, 1], [x^10 - x^9 + 3*x^8 - 5*x^7 + 5*x^6 - 7*x^5 + 5*x^4 - 5*x^3 + 3*x^2 - x + 1, 1], [x^10 - x^9 - 3*x^8 + 4*x^7 + 2*x^6 - 7*x^5 + x^4 + 5*x^3 - 2*x - 1, 1]]]