/* 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 + 5*x^18 + 15*x^17 - 30*x^16 - 21*x^15 + 75*x^14 + 15*x^13 - 120*x^12 - 5*x^11 + 141*x^10 - 5*x^9 - 120*x^8 + 15*x^7 + 75*x^6 - 21*x^5 - 30*x^4 + 15*x^3 + 5*x^2 - 5*x + 1, 20, 5, [0, 10], 781250000000000000000, [2, 5], [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, 1/431*a^18 - 86/431*a^17 + 74/431*a^16 + 141/431*a^15 + 112/431*a^14 - 183/431*a^13 + 132/431*a^12 - 150/431*a^11 - 170/431*a^10 + 123/431*a^9 - 170/431*a^8 - 150/431*a^7 + 132/431*a^6 - 183/431*a^5 + 112/431*a^4 + 141/431*a^3 + 74/431*a^2 - 86/431*a + 1/431, 1/431*a^19 + 5/431*a^17 + 40/431*a^16 + 170/431*a^15 - 33/431*a^14 - 90/431*a^13 - 4/431*a^12 - 140/431*a^11 + 157/431*a^10 + 64/431*a^9 - 116/431*a^8 + 162/431*a^7 - 37/431*a^6 - 110/431*a^5 - 140/431*a^4 + 132/431*a^3 - 187/431*a^2 - 68/431*a + 86/431], 0, 1, [], 0, [ (2038)/(431)*a^(19) - (7860)/(431)*a^(18) + (429)/(431)*a^(17) + (34320)/(431)*a^(16) - (23497)/(431)*a^(15) - (80833)/(431)*a^(14) + (72296)/(431)*a^(13) + (135699)/(431)*a^(12) - (118739)/(431)*a^(11) - (180325)/(431)*a^(10) + (124351)/(431)*a^(9) + (176159)/(431)*a^(8) - (85113)/(431)*a^(7) - (107834)/(431)*a^(6) + (54810)/(431)*a^(5) + (42022)/(431)*a^(4) - (27240)/(431)*a^(3) - (6788)/(431)*a^(2) + (7246)/(431)*a - (1113)/(431) , (2785)/(431)*a^(19) - (12735)/(431)*a^(18) + (8361)/(431)*a^(17) + (45664)/(431)*a^(16) - (63234)/(431)*a^(15) - (88598)/(431)*a^(14) + (170525)/(431)*a^(13) + (124074)/(431)*a^(12) - (282954)/(431)*a^(11) - (153619)/(431)*a^(10) + (331956)/(431)*a^(9) + (154956)/(431)*a^(8) - (272852)/(431)*a^(7) - (103596)/(431)*a^(6) + (166545)/(431)*a^(5) + (32770)/(431)*a^(4) - (70365)/(431)*a^(3) + (2646)/(431)*a^(2) + (16677)/(431)*a - (4672)/(431) , (5469)/(431)*a^(19) - (23941)/(431)*a^(18) + (12299)/(431)*a^(17) + (90098)/(431)*a^(16) - (107345)/(431)*a^(15) - (184497)/(431)*a^(14) + (294453)/(431)*a^(13) + (274532)/(431)*a^(12) - (485883)/(431)*a^(11) - (348561)/(431)*a^(10) + (556745)/(431)*a^(9) + (346158)/(431)*a^(8) - (442737)/(431)*a^(7) - (221437)/(431)*a^(6) + (271704)/(431)*a^(5) + (73356)/(431)*a^(4) - (118631)/(431)*a^(3) - (595)/(431)*a^(2) + (28115)/(431)*a - (7450)/(431) , (4675)/(431)*a^(19) - (19961)/(431)*a^(18) + (8263)/(431)*a^(17) + (78311)/(431)*a^(16) - (83699)/(431)*a^(15) - (167240)/(431)*a^(14) + (234508)/(431)*a^(13) + (260008)/(431)*a^(12) - (387287)/(431)*a^(11) - (339108)/(431)*a^(10) + (436462)/(431)*a^(9) + (341788)/(431)*a^(8) - (335673)/(431)*a^(7) - (222258)/(431)*a^(6) + (201348)/(431)*a^(5) + (79889)/(431)*a^(4) - (88949)/(431)*a^(3) - (7992)/(431)*a^(2) + (21270)/(431)*a - (4518)/(431) , (3254)/(431)*a^(19) - (16119)/(431)*a^(18) + (14253)/(431)*a^(17) + (54506)/(431)*a^(16) - (96022)/(431)*a^(15) - (93459)/(431)*a^(14) + (255816)/(431)*a^(13) + (107803)/(431)*a^(12) - (431484)/(431)*a^(11) - (115002)/(431)*a^(10) + (526728)/(431)*a^(9) + (114239)/(431)*a^(8) - (460333)/(431)*a^(7) - (78021)/(431)*a^(6) + (289004)/(431)*a^(5) + (11344)/(431)*a^(4) - (124854)/(431)*a^(3) + (16223)/(431)*a^(2) + (29277)/(431)*a - (9529)/(431) , (7450)/(431)*a^(19) - (31781)/(431)*a^(18) + (13309)/(431)*a^(17) + (124049)/(431)*a^(16) - (133402)/(431)*a^(15) - (263795)/(431)*a^(14) + (374253)/(431)*a^(13) + (406203)/(431)*a^(12) - (619468)/(431)*a^(11) - (523133)/(431)*a^(10) + (701889)/(431)*a^(9) + (519495)/(431)*a^(8) - (547842)/(431)*a^(7) - (330987)/(431)*a^(6) + (337313)/(431)*a^(5) + (115254)/(431)*a^(4) - (150144)/(431)*a^(3) - (6881)/(431)*a^(2) + (36655)/(431)*a - (8704)/(431) , (7270)/(431)*a^(19) - (30499)/(431)*a^(18) + (11631)/(431)*a^(17) + (119052)/(431)*a^(16) - (122453)/(431)*a^(15) - (253053)/(431)*a^(14) + (342039)/(431)*a^(13) + (389093)/(431)*a^(12) - (559862)/(431)*a^(11) - (496079)/(431)*a^(10) + (625228)/(431)*a^(9) + (479750)/(431)*a^(8) - (482687)/(431)*a^(7) - (291299)/(431)*a^(6) + (304820)/(431)*a^(5) + (99139)/(431)*a^(4) - (135372)/(431)*a^(3) - (3343)/(431)*a^(2) + (32601)/(431)*a - (8679)/(431) , (1319)/(431)*a^(19) - (4403)/(431)*a^(18) - (2647)/(431)*a^(17) + (23466)/(431)*a^(16) - (3952)/(431)*a^(15) - (64287)/(431)*a^(14) + (22868)/(431)*a^(13) + (120368)/(431)*a^(12) - (38824)/(431)*a^(11) - (169317)/(431)*a^(10) + (29446)/(431)*a^(9) + (171402)/(431)*a^(8) - (2095)/(431)*a^(7) - (111075)/(431)*a^(6) - (495)/(431)*a^(5) + (49732)/(431)*a^(4) - (3216)/(431)*a^(3) - (13468)/(431)*a^(2) + (1920)/(431)*a + (850)/(431) , (1459)/(431)*a^(19) - (7050)/(431)*a^(18) + (5885)/(431)*a^(17) + (23690)/(431)*a^(16) - (39611)/(431)*a^(15) - (41259)/(431)*a^(14) + (104614)/(431)*a^(13) + (48830)/(431)*a^(12) - (173833)/(431)*a^(11) - (52060)/(431)*a^(10) + (208044)/(431)*a^(9) + (47869)/(431)*a^(8) - (177576)/(431)*a^(7) - (27332)/(431)*a^(6) + (111638)/(431)*a^(5) - (836)/(431)*a^(4) - (48936)/(431)*a^(3) + (9282)/(431)*a^(2) + (11438)/(431)*a - (4411)/(431) ], 525.931286845, [[x^2 - x - 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^5 - 2, 5], [x^10 - 5*x^9 + 15*x^8 - 30*x^7 + 45*x^6 - 49*x^5 + 35*x^4 - 10*x^3 - 5*x^2 + 5*x - 1, 5]]]