/* 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^19 - x^18 + 2*x^17 - 5*x^16 + 8*x^15 - 14*x^14 + 13*x^13 - 10*x^12 - x^11 + 9*x^10 - 18*x^9 + 25*x^8 - 10*x^7 - 4*x^6 + 38*x^5 - 42*x^4 + 37*x^3 - 16*x^2 + 4*x + 1, 19, 2, [1, 9], -27217203547650508966391, [311], [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, 1/391*a^17 - 2/17*a^16 - 128/391*a^15 - 179/391*a^14 - 4/23*a^13 - 19/391*a^12 - 67/391*a^11 - 160/391*a^10 + 154/391*a^9 - 174/391*a^8 + 189/391*a^7 + 133/391*a^6 + 94/391*a^5 - 65/391*a^4 - 126/391*a^3 + 48/391*a^2 - 11/23*a + 158/391, 1/161454457*a^18 + 135026/161454457*a^17 + 69148682/161454457*a^16 - 655864/161454457*a^15 - 133411/161454457*a^14 + 38668402/161454457*a^13 - 39486610/161454457*a^12 + 1235520/9497321*a^11 + 15740082/161454457*a^10 + 11932252/161454457*a^9 - 43903937/161454457*a^8 - 39923095/161454457*a^7 - 18000683/161454457*a^6 - 2167161/8497603*a^5 + 1272916/8497603*a^4 - 16289027/161454457*a^3 - 42424184/161454457*a^2 + 23572120/161454457*a - 75616849/161454457], 0, 1, [], 0, [ (9552374)/(161454457)*a^(18) - (578572)/(9497321)*a^(17) + (1277435)/(9497321)*a^(16) - (68663940)/(161454457)*a^(15) + (75622407)/(161454457)*a^(14) - (152949097)/(161454457)*a^(13) + (223309312)/(161454457)*a^(12) - (149922205)/(161454457)*a^(11) + (91119757)/(161454457)*a^(10) + (63703383)/(161454457)*a^(9) - (216398529)/(161454457)*a^(8) + (300178867)/(161454457)*a^(7) - (176981042)/(161454457)*a^(6) + (5390268)/(8497603)*a^(5) + (9631097)/(8497603)*a^(4) - (724317584)/(161454457)*a^(3) + (501394384)/(161454457)*a^(2) - (470820495)/(161454457)*a + (66379852)/(161454457) , (36699367)/(161454457)*a^(18) + (28354794)/(161454457)*a^(17) + (14672195)/(161454457)*a^(16) - (116940704)/(161454457)*a^(15) + (11286958)/(161454457)*a^(14) - (67111522)/(161454457)*a^(13) - (135579622)/(161454457)*a^(12) + (102901400)/(161454457)*a^(11) - (168153355)/(161454457)*a^(10) - (62627721)/(161454457)*a^(9) - (53669268)/(161454457)*a^(8) + (92922838)/(161454457)*a^(7) + (702898760)/(161454457)*a^(6) - (6554085)/(8497603)*a^(5) + (13020068)/(8497603)*a^(4) + (29619067)/(9497321)*a^(3) - (351166293)/(161454457)*a^(2) + (29266664)/(161454457)*a + (241351549)/(161454457) , (23972479)/(161454457)*a^(18) + (72298934)/(161454457)*a^(17) - (5392190)/(161454457)*a^(16) - (27963616)/(161454457)*a^(15) - (209459706)/(161454457)*a^(14) + (189039615)/(161454457)*a^(13) - (494371337)/(161454457)*a^(12) + (246391261)/(161454457)*a^(11) - (173710788)/(161454457)*a^(10) - (270431273)/(161454457)*a^(9) + (271384995)/(161454457)*a^(8) - (378671239)/(161454457)*a^(7) + (1193191926)/(161454457)*a^(6) + (15122347)/(8497603)*a^(5) - (851140)/(369461)*a^(4) + (1746692711)/(161454457)*a^(3) - (905194377)/(161454457)*a^(2) + (298805194)/(161454457)*a + (170666906)/(161454457) , (20288859)/(161454457)*a^(18) - (22124451)/(161454457)*a^(17) + (30021142)/(161454457)*a^(16) - (4714836)/(7019759)*a^(15) + (171115079)/(161454457)*a^(14) - (246312415)/(161454457)*a^(13) + (11741296)/(7019759)*a^(12) - (7890337)/(7019759)*a^(11) + (25594497)/(161454457)*a^(10) + (184054547)/(161454457)*a^(9) - (15297094)/(7019759)*a^(8) + (515455259)/(161454457)*a^(7) - (233584438)/(161454457)*a^(6) - (549449)/(499859)*a^(5) + (26095150)/(8497603)*a^(4) - (871515821)/(161454457)*a^(3) + (618054776)/(161454457)*a^(2) - (542783761)/(161454457)*a + (112009654)/(161454457) , (4296595)/(161454457)*a^(18) + (66405892)/(161454457)*a^(17) - (51719530)/(161454457)*a^(16) + (37502566)/(161454457)*a^(15) - (280952315)/(161454457)*a^(14) + (414204001)/(161454457)*a^(13) - (559022274)/(161454457)*a^(12) + (445544336)/(161454457)*a^(11) - (163404711)/(161454457)*a^(10) - (18066814)/(9497321)*a^(9) + (493295199)/(161454457)*a^(8) - (654036692)/(161454457)*a^(7) + (1121917471)/(161454457)*a^(6) + (3453477)/(8497603)*a^(5) - (57951033)/(8497603)*a^(4) + (1735916336)/(161454457)*a^(3) - (1488784343)/(161454457)*a^(2) + (693493366)/(161454457)*a - (42261904)/(161454457) , (38387420)/(161454457)*a^(18) - (83252921)/(161454457)*a^(17) + (30461582)/(161454457)*a^(16) - (210189430)/(161454457)*a^(15) + (431412683)/(161454457)*a^(14) - (493419901)/(161454457)*a^(13) + (542195299)/(161454457)*a^(12) - (5034132)/(9497321)*a^(11) - (258086221)/(161454457)*a^(10) + (642530004)/(161454457)*a^(9) - (704361013)/(161454457)*a^(8) + (1026494660)/(161454457)*a^(7) - (451123872)/(161454457)*a^(6) - (63853029)/(8497603)*a^(5) + (82269676)/(8497603)*a^(4) - (2026164049)/(161454457)*a^(3) + (520136554)/(161454457)*a^(2) + (60798726)/(161454457)*a - (160519193)/(161454457) , (45837945)/(161454457)*a^(18) - (5497022)/(161454457)*a^(17) + (31604629)/(161454457)*a^(16) - (175587840)/(161454457)*a^(15) + (165680094)/(161454457)*a^(14) - (281667601)/(161454457)*a^(13) + (80340321)/(161454457)*a^(12) + (36252743)/(161454457)*a^(11) - (201249008)/(161454457)*a^(10) + (7887290)/(7019759)*a^(9) - (315358679)/(161454457)*a^(8) + (481336952)/(161454457)*a^(7) + (505364281)/(161454457)*a^(6) - (26123507)/(8497603)*a^(5) + (50058708)/(8497603)*a^(4) - (294267548)/(161454457)*a^(3) - (24772548)/(161454457)*a^(2) - (15928685)/(161454457)*a + (102823245)/(161454457) , (44835)/(412927)*a^(18) + (27114525)/(161454457)*a^(17) - (1164944)/(7019759)*a^(16) - (26726508)/(161454457)*a^(15) - (83466150)/(161454457)*a^(14) + (8809102)/(9497321)*a^(13) - (338542898)/(161454457)*a^(12) + (368567957)/(161454457)*a^(11) - (253808579)/(161454457)*a^(10) + (18820)/(161454457)*a^(9) + (168870023)/(161454457)*a^(8) - (310058493)/(161454457)*a^(7) + (846958901)/(161454457)*a^(6) - (18816063)/(8497603)*a^(5) - (6247660)/(8497603)*a^(4) + (923481388)/(161454457)*a^(3) - (1140842072)/(161454457)*a^(2) + (36521992)/(9497321)*a - (209196504)/(161454457) , (29547729)/(161454457)*a^(18) - (30723673)/(161454457)*a^(17) + (22562648)/(161454457)*a^(16) - (117245084)/(161454457)*a^(15) + (205891228)/(161454457)*a^(14) - (260788269)/(161454457)*a^(13) + (141942206)/(161454457)*a^(12) + (38175449)/(161454457)*a^(11) - (268262132)/(161454457)*a^(10) + (366535976)/(161454457)*a^(9) - (337930130)/(161454457)*a^(8) + (436042793)/(161454457)*a^(7) + (112118631)/(161454457)*a^(6) - (38639458)/(8497603)*a^(5) + (57308945)/(8497603)*a^(4) - (717364542)/(161454457)*a^(3) + (41488657)/(161454457)*a^(2) + (14290312)/(7019759)*a - (319151643)/(161454457) ], 2166.17030371, []]