/* 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 + 10*x^18 - 26*x^17 + 59*x^16 - 129*x^15 + 241*x^14 - 438*x^13 + 729*x^12 - 1124*x^11 + 1669*x^10 - 2248*x^9 + 2916*x^8 - 3504*x^7 + 3856*x^6 - 4128*x^5 + 3776*x^4 - 3328*x^3 + 2560*x^2 - 1536*x + 1024, 20, 36, [0, 10], 22762830184956456665916278633281, [8311], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/2*a^11 - 1/2*a^10 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^3 - 1/2*a, 1/4*a^12 - 1/4*a^11 - 1/2*a^9 - 1/4*a^8 + 1/4*a^7 - 1/4*a^6 + 1/4*a^4 - 1/2*a^3 + 1/4*a^2 - 1/2*a, 1/8*a^13 - 1/8*a^12 - 1/4*a^10 - 1/8*a^9 - 3/8*a^8 + 3/8*a^7 + 1/8*a^5 - 1/4*a^4 + 1/8*a^3 + 1/4*a^2, 1/16*a^14 - 1/16*a^13 - 1/8*a^11 + 7/16*a^10 - 3/16*a^9 + 3/16*a^8 - 1/2*a^7 + 1/16*a^6 - 1/8*a^5 - 7/16*a^4 - 3/8*a^3, 1/32*a^15 - 1/32*a^14 - 1/16*a^12 + 7/32*a^11 - 3/32*a^10 - 13/32*a^9 - 1/4*a^8 + 1/32*a^7 + 7/16*a^6 - 7/32*a^5 + 5/16*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/64*a^16 - 1/64*a^15 - 1/32*a^13 + 7/64*a^12 - 3/64*a^11 + 19/64*a^10 - 1/8*a^9 - 31/64*a^8 - 9/32*a^7 - 7/64*a^6 + 5/32*a^5 - 1/4*a^4 - 1/4*a^3 - 1/4*a^2, 1/128*a^17 - 1/128*a^16 - 1/64*a^14 + 7/128*a^13 - 3/128*a^12 + 19/128*a^11 - 1/16*a^10 + 33/128*a^9 - 9/64*a^8 - 7/128*a^7 - 27/64*a^6 + 3/8*a^5 - 1/8*a^4 + 3/8*a^3 - 1/2*a^2, 1/256*a^18 - 1/256*a^17 - 1/128*a^15 + 7/256*a^14 - 3/256*a^13 + 19/256*a^12 - 1/32*a^11 + 33/256*a^10 - 9/128*a^9 - 7/256*a^8 - 27/128*a^7 - 5/16*a^6 - 1/16*a^5 + 3/16*a^4 - 1/4*a^3, 1/49664*a^19 - 17/49664*a^18 - 35/12416*a^17 - 3/24832*a^16 - 633/49664*a^15 + 197/49664*a^14 - 577/49664*a^13 - 321/12416*a^12 + 9005/49664*a^11 + 1199/24832*a^10 - 10563/49664*a^9 + 6857/24832*a^8 - 5851/12416*a^7 - 609/6208*a^6 - 637/3104*a^5 + 31/776*a^4 + 55/388*a^3 + 87/194*a^2 - 22/97*a + 14/97], 1, 4, [4], 1, [ (1231)/(49664)*a^(19) - (5019)/(49664)*a^(18) + (1689)/(6208)*a^(17) - (16109)/(24832)*a^(16) + (67393)/(49664)*a^(15) - (127257)/(49664)*a^(14) + (216645)/(49664)*a^(13) - (20921)/(3104)*a^(12) + (484995)/(49664)*a^(11) - (316397)/(24832)*a^(10) + (753099)/(49664)*a^(9) - (411447)/(24832)*a^(8) + (192893)/(12416)*a^(7) - (76111)/(6208)*a^(6) + (20953)/(3104)*a^(5) - (1569)/(1552)*a^(4) - (3591)/(776)*a^(3) + (3801)/(388)*a^(2) - (1881)/(194)*a + (356)/(97) , (1)/(512)*a^(19) - (3)/(512)*a^(18) + (5)/(256)*a^(17) - (13)/(256)*a^(16) + (59)/(512)*a^(15) - (129)/(512)*a^(14) + (241)/(512)*a^(13) - (219)/(256)*a^(12) + (729)/(512)*a^(11) - (281)/(128)*a^(10) + (1669)/(512)*a^(9) - (281)/(64)*a^(8) + (729)/(128)*a^(7) - (219)/(32)*a^(6) + (241)/(32)*a^(5) - (129)/(16)*a^(4) + (59)/(8)*a^(3) - (13)/(2)*a^(2) + 4*a - 2 , (3)/(512)*a^(19) - (7)/(512)*a^(18) + (3)/(64)*a^(17) - (29)/(256)*a^(16) + (125)/(512)*a^(15) - (269)/(512)*a^(14) + (465)/(512)*a^(13) - (13)/(8)*a^(12) + (1311)/(512)*a^(11) - (957)/(256)*a^(10) + (2759)/(512)*a^(9) - (1703)/(256)*a^(8) + (1063)/(128)*a^(7) - (585)/(64)*a^(6) + (285)/(32)*a^(5) - (73)/(8)*a^(4) + 6*a^(3) - (23)/(4)*a^(2) + 2*a - 1 , (15)/(6208)*a^(19) + (435)/(24832)*a^(18) - (349)/(24832)*a^(17) + (887)/(12416)*a^(16) - (657)/(12416)*a^(15) + (1441)/(24832)*a^(14) + (1173)/(24832)*a^(13) - (15057)/(24832)*a^(12) + (16689)/(12416)*a^(11) - (83585)/(24832)*a^(10) + (9495)/(1552)*a^(9) - (250077)/(24832)*a^(8) + (49995)/(3104)*a^(7) - (129049)/(6208)*a^(6) + (43357)/(1552)*a^(5) - (47947)/(1552)*a^(4) + (5919)/(194)*a^(3) - (3025)/(97)*a^(2) + (3741)/(194)*a - (1715)/(97) , (39)/(24832)*a^(19) + (1)/(1552)*a^(18) + (69)/(24832)*a^(17) - (505)/(12416)*a^(16) + (2667)/(24832)*a^(15) - (1935)/(6208)*a^(14) + (4729)/(6208)*a^(13) - (36399)/(24832)*a^(12) + (74939)/(24832)*a^(11) - (120751)/(24832)*a^(10) + (195069)/(24832)*a^(9) - (291691)/(24832)*a^(8) + (185665)/(12416)*a^(7) - (15565)/(776)*a^(6) + (33357)/(1552)*a^(5) - (18049)/(776)*a^(4) + (17019)/(776)*a^(3) - (1554)/(97)*a^(2) + (1388)/(97)*a - (460)/(97) , (879)/(49664)*a^(19) - (3109)/(49664)*a^(18) + (4527)/(24832)*a^(17) - (10979)/(24832)*a^(16) + (43829)/(49664)*a^(15) - (84663)/(49664)*a^(14) + (139031)/(49664)*a^(13) - (107545)/(24832)*a^(12) + (303223)/(49664)*a^(11) - (91657)/(12416)*a^(10) + (420555)/(49664)*a^(9) - (12015)/(1552)*a^(8) + (68199)/(12416)*a^(7) - (2223)/(1552)*a^(6) - (18081)/(3104)*a^(5) + (3973)/(388)*a^(4) - (12629)/(776)*a^(3) + (7543)/(388)*a^(2) - (1684)/(97)*a + (1345)/(97) , (993)/(49664)*a^(19) - (2719)/(49664)*a^(18) + (3725)/(24832)*a^(17) - (9187)/(24832)*a^(16) + (34523)/(49664)*a^(15) - (68413)/(49664)*a^(14) + (110113)/(49664)*a^(13) - (83927)/(24832)*a^(12) + (247661)/(49664)*a^(11) - (37847)/(6208)*a^(10) + (375329)/(49664)*a^(9) - (100449)/(12416)*a^(8) + (11175)/(1552)*a^(7) - (5061)/(776)*a^(6) + (10181)/(3104)*a^(5) - (1581)/(1552)*a^(4) - (671)/(776)*a^(3) + (1771)/(388)*a^(2) - (527)/(194)*a + (128)/(97) , (61)/(49664)*a^(19) - (455)/(49664)*a^(18) + (95)/(24832)*a^(17) + (981)/(24832)*a^(16) - (4857)/(49664)*a^(15) + (19195)/(49664)*a^(14) - (44703)/(49664)*a^(13) + (49011)/(24832)*a^(12) - (191775)/(49664)*a^(11) + (78813)/(12416)*a^(10) - (524451)/(49664)*a^(9) + (93875)/(6208)*a^(8) - (63159)/(3104)*a^(7) + (81675)/(3104)*a^(6) - (43921)/(1552)*a^(5) + (47723)/(1552)*a^(4) - (21517)/(776)*a^(3) + (2120)/(97)*a^(2) - (1827)/(97)*a + (272)/(97) , (1)/(256)*a^(19) - (11)/(256)*a^(18) + (17)/(128)*a^(17) - (49)/(128)*a^(16) + (251)/(256)*a^(15) - (513)/(256)*a^(14) + (1049)/(256)*a^(13) - (923)/(128)*a^(12) + (3033)/(256)*a^(11) - (1203)/(64)*a^(10) + (6621)/(256)*a^(9) - (1135)/(32)*a^(8) + (2803)/(64)*a^(7) - (1565)/(32)*a^(6) + (1743)/(32)*a^(5) - (395)/(8)*a^(4) + (355)/(8)*a^(3) - (143)/(4)*a^(2) + (33)/(2)*a - 16 ], 10106391.1313, [[x^10 - 3*x^9 - 10*x^8 + 28*x^7 + 39*x^6 - 89*x^5 - 67*x^4 + 116*x^3 + 45*x^2 - 52*x - 7, 1]]]