/* 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 - 3*x^19 + 5*x^18 - 9*x^17 + 18*x^16 - 29*x^15 + 37*x^14 - 24*x^13 + 26*x^12 - 13*x^11 + 31*x^10 - 13*x^9 + 26*x^8 - 24*x^7 + 37*x^6 - 29*x^5 + 18*x^4 - 9*x^3 + 5*x^2 - 3*x + 1, 20, 28, [0, 10], 591319123885120791015625, [5, 7, 11], [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, 1/5*a^16 + 2/5*a^15 - 2/5*a^14 + 2/5*a^13 + 1/5*a^12 + 2/5*a^10 - 1/5*a^9 + 1/5*a^8 - 1/5*a^7 + 2/5*a^6 + 1/5*a^4 + 2/5*a^3 - 2/5*a^2 + 2/5*a + 1/5, 1/5*a^17 - 1/5*a^15 + 1/5*a^14 + 2/5*a^13 - 2/5*a^12 + 2/5*a^11 - 2/5*a^9 + 2/5*a^8 - 1/5*a^7 + 1/5*a^6 + 1/5*a^5 - 1/5*a^3 + 1/5*a^2 + 2/5*a - 2/5, 1/10955*a^18 - 456/10955*a^17 + 618/10955*a^16 - 250/2191*a^15 + 2563/10955*a^14 - 5161/10955*a^13 + 4183/10955*a^12 + 779/1565*a^11 - 5109/10955*a^10 - 957/2191*a^9 - 5109/10955*a^8 + 779/1565*a^7 + 4183/10955*a^6 - 5161/10955*a^5 + 2563/10955*a^4 - 250/2191*a^3 + 618/10955*a^2 - 456/10955*a + 1/10955, 1/208145*a^19 - 4/208145*a^18 + 9224/208145*a^17 - 6744/208145*a^16 - 8634/41629*a^15 + 97253/208145*a^14 + 83702/208145*a^13 + 64493/208145*a^12 - 1313/10955*a^11 - 1929/29735*a^10 - 13352/41629*a^9 - 3516/10955*a^8 - 13464/208145*a^7 - 3571/29735*a^6 + 9222/29735*a^5 + 11948/29735*a^4 + 2780/5947*a^3 - 6171/29735*a^2 - 1346/41629*a + 9216/208145], 0, 1, [], 0, [ (262)/(208145)*a^(19) - (128671)/(208145)*a^(18) + (29871)/(29735)*a^(17) - (4831)/(5947)*a^(16) + (74074)/(29735)*a^(15) - (162763)/(29735)*a^(14) + (166474)/(29735)*a^(13) - (958388)/(208145)*a^(12) - (57839)/(10955)*a^(11) - (384675)/(41629)*a^(10) - (128932)/(29735)*a^(9) - (135103)/(10955)*a^(8) - (409030)/(41629)*a^(7) - (2341398)/(208145)*a^(6) + (519587)/(208145)*a^(5) - (233706)/(41629)*a^(4) - (144442)/(208145)*a^(3) + (271189)/(208145)*a^(2) + (192049)/(208145)*a - (2626)/(208145) , (14941)/(29735)*a^(19) - (61946)/(208145)*a^(18) - (124541)/(208145)*a^(17) - (100442)/(208145)*a^(16) + (321382)/(208145)*a^(15) + (77453)/(41629)*a^(14) - (1117047)/(208145)*a^(13) + (2825111)/(208145)*a^(12) + (12026)/(1565)*a^(11) + (1893511)/(208145)*a^(10) + (1859254)/(208145)*a^(9) + (40853)/(2191)*a^(8) + (197)/(19)*a^(7) + (148546)/(41629)*a^(6) - (852846)/(208145)*a^(5) + (1936078)/(208145)*a^(4) - (881988)/(208145)*a^(3) - (70284)/(41629)*a^(2) - (131961)/(208145)*a + (352328)/(208145) , a , (91002)/(208145)*a^(19) - (43116)/(41629)*a^(18) + (292281)/(208145)*a^(17) - (585759)/(208145)*a^(16) + (1185084)/(208145)*a^(15) - (1674634)/(208145)*a^(14) + (1918013)/(208145)*a^(13) - (427822)/(208145)*a^(12) + (67703)/(10955)*a^(11) + (35686)/(29735)*a^(10) + (1753918)/(208145)*a^(9) + (3783)/(10955)*a^(8) + (258233)/(41629)*a^(7) - (211592)/(29735)*a^(6) + (202693)/(29735)*a^(5) - (215987)/(29735)*a^(4) - (4268)/(29735)*a^(3) - (13142)/(29735)*a^(2) - (200171)/(208145)*a + (81768)/(208145) , (146)/(10955)*a^(19) - (13168)/(10955)*a^(18) + (4597)/(1565)*a^(17) - (5908)/(1565)*a^(16) + (11482)/(1565)*a^(15) - (24729)/(1565)*a^(14) + (34984)/(1565)*a^(13) - (261766)/(10955)*a^(12) + (55523)/(10955)*a^(11) - (178057)/(10955)*a^(10) + (8449)/(1565)*a^(9) - (254256)/(10955)*a^(8) + (16488)/(10955)*a^(7) - (174733)/(10955)*a^(6) + (229659)/(10955)*a^(5) - (246251)/(10955)*a^(4) + (136009)/(10955)*a^(3) - (48128)/(10955)*a^(2) + (27546)/(10955)*a - (3779)/(2191) , (246333)/(208145)*a^(19) - (495151)/(208145)*a^(18) + (109577)/(41629)*a^(17) - (1232494)/(208145)*a^(16) + (2649326)/(208145)*a^(15) - (3351679)/(208145)*a^(14) + (3312978)/(208145)*a^(13) + (827094)/(208145)*a^(12) + (35538)/(2191)*a^(11) + (1029237)/(208145)*a^(10) + (5119367)/(208145)*a^(9) + (134783)/(10955)*a^(8) + (4243237)/(208145)*a^(7) - (2081559)/(208145)*a^(6) + (693811)/(41629)*a^(5) - (747209)/(208145)*a^(4) - (101139)/(208145)*a^(3) - (143544)/(208145)*a^(2) - (45858)/(208145)*a + (166191)/(208145) , (29662)/(41629)*a^(19) - (343713)/(208145)*a^(18) + (75452)/(29735)*a^(17) - (168004)/(29735)*a^(16) + (335153)/(29735)*a^(15) - (97259)/(5947)*a^(14) + (638966)/(29735)*a^(13) - (617327)/(41629)*a^(12) + (286912)/(10955)*a^(11) - (1968766)/(208145)*a^(10) + (673001)/(29735)*a^(9) - (5113)/(2191)*a^(8) + (4578459)/(208145)*a^(7) - (3357271)/(208145)*a^(6) + (4480004)/(208145)*a^(5) - (3601803)/(208145)*a^(4) + (3467591)/(208145)*a^(3) - (507197)/(41629)*a^(2) + (1290477)/(208145)*a - (188389)/(208145) , (2626)/(208145)*a^(19) - (1088)/(29735)*a^(18) - (115541)/(208145)*a^(17) + (185463)/(208145)*a^(16) - (121817)/(208145)*a^(15) + (442364)/(208145)*a^(14) - (1042179)/(208145)*a^(13) + (1102294)/(208145)*a^(12) - (46848)/(10955)*a^(11) - (1133079)/(208145)*a^(10) - (1841969)/(208145)*a^(9) - (49298)/(10955)*a^(8) - (2498681)/(208145)*a^(7) - (2108174)/(208145)*a^(6) - (2244236)/(208145)*a^(5) + (443433)/(208145)*a^(4) - (1121262)/(208145)*a^(3) - (168076)/(208145)*a^(2) + (10882)/(29735)*a + (184171)/(208145) , (445027)/(208145)*a^(19) - (956724)/(208145)*a^(18) + (1047817)/(208145)*a^(17) - (2330512)/(208145)*a^(16) + (1043712)/(41629)*a^(15) - (6713057)/(208145)*a^(14) + (6726519)/(208145)*a^(13) + (135476)/(208145)*a^(12) + (368521)/(10955)*a^(11) - (1277449)/(208145)*a^(10) + (1721711)/(41629)*a^(9) + (94194)/(10955)*a^(8) + (6787642)/(208145)*a^(7) - (6692706)/(208145)*a^(6) + (6431162)/(208145)*a^(5) - (2507657)/(208145)*a^(4) + (320471)/(41629)*a^(3) - (1703782)/(208145)*a^(2) + (215905)/(41629)*a - (54331)/(208145) ], 4090.28443721, [[x^2 - x + 2, 1], [x^2 - x - 1, 1], [x^2 - x + 9, 1], [x^4 - x^3 + 5*x^2 + 2*x + 4, 1], [x^10 - 4*x^9 + 12*x^8 - 24*x^7 + 41*x^6 - 52*x^5 + 51*x^4 - 34*x^3 + 22*x^2 - 9*x + 1, 5]]]