/* 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^18 + 18*x^16 - 40*x^14 + 92*x^12 - 160*x^10 + 352*x^8 - 352*x^6 + 528*x^4 - 704*x^2 + 352, 20, 53, [0, 10], 84954018740373771557797888, [2, 11], [1, a, a^2, a^3, 1/2*a^4, 1/2*a^5, 1/2*a^6, 1/2*a^7, 1/4*a^8, 1/4*a^9, 1/4*a^10, 1/4*a^11, 1/8*a^12, 1/8*a^13, 1/8*a^14, 1/8*a^15, 1/16*a^16, 1/16*a^17, 1/321989456*a^18 + 837739/80497364*a^16 - 1251545/20124341*a^14 + 854403/80497364*a^12 + 203587/40248682*a^10 - 1633200/20124341*a^8 - 7047079/40248682*a^6 + 5489405/40248682*a^4 + 970885/20124341*a^2 - 4788209/20124341, 1/321989456*a^19 + 837739/80497364*a^17 - 1251545/20124341*a^15 + 854403/80497364*a^13 + 203587/40248682*a^11 - 1633200/20124341*a^9 - 7047079/40248682*a^7 + 5489405/40248682*a^5 + 970885/20124341*a^3 - 4788209/20124341*a], 0, 1, [], 1, [ (2651761)/(321989456)*a^(18) - (2145929)/(80497364)*a^(16) + (9776739)/(80497364)*a^(14) - (32631263)/(160994728)*a^(12) + (37114423)/(80497364)*a^(10) - (49414203)/(80497364)*a^(8) + (36214365)/(20124341)*a^(6) - (29980689)/(40248682)*a^(4) + (48034355)/(20124341)*a^(2) - (54921555)/(20124341) , (1465)/(321989456)*a^(18) - (148583)/(40248682)*a^(16) + (2537189)/(160994728)*a^(14) - (12141835)/(160994728)*a^(12) + (12904021)/(80497364)*a^(10) - (15807183)/(40248682)*a^(8) + (19940539)/(40248682)*a^(6) - (48006757)/(40248682)*a^(4) + (13642655)/(20124341)*a^(2) - (31579858)/(20124341) , (1170421)/(321989456)*a^(18) - (1772507)/(160994728)*a^(16) + (4550757)/(80497364)*a^(14) - (7539309)/(80497364)*a^(12) + (10302687)/(40248682)*a^(10) - (23816237)/(80497364)*a^(8) + (32654637)/(40248682)*a^(6) - (1171248)/(20124341)*a^(4) + (23278020)/(20124341)*a^(2) - (14008650)/(20124341) , (988555)/(321989456)*a^(18) - (3090407)/(321989456)*a^(16) + (6218571)/(160994728)*a^(14) - (8592551)/(160994728)*a^(12) + (6949229)/(80497364)*a^(10) - (5165527)/(40248682)*a^(8) + (17943125)/(40248682)*a^(6) - (5081949)/(20124341)*a^(4) + (3150203)/(20124341)*a^(2) - (22074408)/(20124341) , (1210631)/(160994728)*a^(19) - (1787851)/(321989456)*a^(18) - (8258839)/(321989456)*a^(17) + (392509)/(20124341)*a^(16) + (19219579)/(160994728)*a^(15) - (13605481)/(160994728)*a^(14) - (37103405)/(160994728)*a^(13) + (12969993)/(80497364)*a^(12) + (43841021)/(80497364)*a^(11) - (14390211)/(40248682)*a^(10) - (69486669)/(80497364)*a^(9) + (48853607)/(80497364)*a^(8) + (40453668)/(20124341)*a^(7) - (29279809)/(20124341)*a^(6) - (54652091)/(40248682)*a^(5) + (40648907)/(40248682)*a^(4) + (62809001)/(20124341)*a^(3) - (33058203)/(20124341)*a^(2) - (76893068)/(20124341)*a + (51701256)/(20124341) , (257815)/(80497364)*a^(19) + (540037)/(321989456)*a^(18) - (2351639)/(160994728)*a^(17) - (890371)/(321989456)*a^(16) + (5128999)/(80497364)*a^(15) + (1665621)/(80497364)*a^(14) - (3127141)/(20124341)*a^(13) - (1657537)/(80497364)*a^(12) + (7002154)/(20124341)*a^(11) + (2618918)/(20124341)*a^(10) - (50064453)/(80497364)*a^(9) - (15865913)/(80497364)*a^(8) + (26039213)/(20124341)*a^(7) + (30724587)/(40248682)*a^(6) - (26910182)/(20124341)*a^(5) - (7370192)/(20124341)*a^(4) + (28776009)/(20124341)*a^(3) + (34491013)/(20124341)*a^(2) - (39235193)/(20124341)*a - (13324302)/(20124341) , (988555)/(321989456)*a^(19) - (5530)/(20124341)*a^(18) - (3090407)/(321989456)*a^(17) - (670927)/(321989456)*a^(16) + (6218571)/(160994728)*a^(15) - (2361)/(160994728)*a^(14) - (8592551)/(160994728)*a^(13) - (980947)/(160994728)*a^(12) + (6949229)/(80497364)*a^(11) - (2092565)/(40248682)*a^(10) - (5165527)/(40248682)*a^(9) + (5410899)/(40248682)*a^(8) + (17943125)/(40248682)*a^(7) - (3515812)/(20124341)*a^(6) - (5081949)/(20124341)*a^(5) - (1584365)/(40248682)*a^(4) + (3150203)/(20124341)*a^(3) - (13217412)/(20124341)*a^(2) - (22074408)/(20124341)*a + (3105588)/(20124341) , (2522083)/(321989456)*a^(19) - (415253)/(321989456)*a^(18) - (8960671)/(321989456)*a^(17) + (3026577)/(321989456)*a^(16) + (2517615)/(20124341)*a^(15) - (6199179)/(160994728)*a^(14) - (9514245)/(40248682)*a^(13) + (17570083)/(160994728)*a^(12) + (41875235)/(80497364)*a^(11) - (15636281)/(80497364)*a^(10) - (15839720)/(20124341)*a^(9) + (23755941)/(80497364)*a^(8) + (38607241)/(20124341)*a^(7) - (10050923)/(20124341)*a^(6) - (46852427)/(40248682)*a^(5) + (32459287)/(40248682)*a^(4) + (43486621)/(20124341)*a^(3) - (11985652)/(20124341)*a^(2) - (45972067)/(20124341)*a - (6987605)/(20124341) , (1019237)/(321989456)*a^(19) - (2715341)/(321989456)*a^(18) - (539573)/(40248682)*a^(17) + (11199403)/(321989456)*a^(16) + (631802)/(20124341)*a^(15) - (26983531)/(160994728)*a^(14) - (728791)/(40248682)*a^(13) + (58187183)/(160994728)*a^(12) - (17478205)/(80497364)*a^(11) - (32729579)/(40248682)*a^(10) + (49108729)/(80497364)*a^(9) + (78688645)/(80497364)*a^(8) - (22494036)/(20124341)*a^(7) - (33736967)/(20124341)*a^(6) + (75647847)/(40248682)*a^(5) + (9932411)/(40248682)*a^(4) - (72678271)/(20124341)*a^(3) - (15300126)/(20124341)*a^(2) + (14035036)/(20124341)*a - (12153896)/(20124341) ], 28703.22707298631, [[x^2 + 2, 1], [x^4 + 4*x^2 + 22, 1], [x^10 - 2*x^9 + x^8 + 2*x^7 - 3*x^6 + 2*x^4 + 2*x^3 - x^2 - 2*x + 1, 1]]]