/* 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^15 - 3*x^13 - 2*x^12 + 12*x^10 + 50*x^9 - 54*x^7 + 68*x^6 - 162*x^5 + 30*x^4 - 67*x^3 + 15*x + 4, 15, 20, [3, 6], 30638157055420022784, [2, 3, 13], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/3*a^9 + 1/3*a^3 + 1/3, 1/3*a^10 + 1/3*a^4 + 1/3*a, 1/9*a^11 + 1/9*a^10 + 1/9*a^9 + 1/3*a^8 + 1/3*a^7 + 1/3*a^6 - 2/9*a^5 - 2/9*a^4 + 1/9*a^3 + 4/9*a^2 + 4/9*a + 1/9, 1/18*a^12 - 1/18*a^11 - 1/18*a^10 + 1/18*a^9 - 1/6*a^8 - 1/6*a^7 + 1/18*a^6 - 7/18*a^5 + 5/18*a^4 - 7/18*a^3 + 5/18*a^2 - 7/18*a - 1/9, 1/702*a^13 - 8/351*a^12 - 1/117*a^11 - 2/27*a^10 + 23/351*a^9 + 19/39*a^8 + 146/351*a^7 + 58/351*a^6 - 53/117*a^5 + 4/39*a^4 + 14/117*a^3 - 17/39*a^2 - 79/702*a + 128/351, 1/5980356252*a^14 - 646705/5980356252*a^13 + 21766499/996726042*a^12 + 37570363/2990178126*a^11 + 245957080/1495089063*a^10 - 78032023/996726042*a^9 + 394532939/2990178126*a^8 - 195086908/1495089063*a^7 + 7957133/498363021*a^6 + 103565231/996726042*a^5 - 290159579/996726042*a^4 - 10850479/996726042*a^3 - 1168436515/5980356252*a^2 + 98787985/460027404*a + 238537894/498363021], 0, 1, [], 0, [ (7448651)/(332242014)*a^(14) + (27258287)/(996726042)*a^(13) - (9734225)/(110747338)*a^(12) - (38053943)/(332242014)*a^(11) + (28343929)/(996726042)*a^(10) + (88592663)/(332242014)*a^(9) + (451740131)/(332242014)*a^(8) + (1088636987)/(996726042)*a^(7) - (228260011)/(110747338)*a^(6) + (311036189)/(332242014)*a^(5) + (24404105)/(110747338)*a^(4) - (2017122415)/(332242014)*a^(3) + (365268223)/(166121007)*a^(2) - (1332344296)/(498363021)*a - (110744081)/(166121007) , (434437579)/(5980356252)*a^(14) - (171030521)/(5980356252)*a^(13) - (318289718)/(1495089063)*a^(12) - (7331551)/(115006851)*a^(11) + (121982017)/(2990178126)*a^(10) + (1299379787)/(1495089063)*a^(9) + (4950313660)/(1495089063)*a^(8) - (4102571839)/(2990178126)*a^(7) - (11117785951)/(2990178126)*a^(6) + (1038475940)/(166121007)*a^(5) - (781246083)/(55373669)*a^(4) + (3699677230)/(498363021)*a^(3) - (39500013583)/(5980356252)*a^(2) + (11724796379)/(5980356252)*a + (131341058)/(115006851) , (351331147)/(5980356252)*a^(14) + (104314511)/(5980356252)*a^(13) - (27306053)/(166121007)*a^(12) - (252048856)/(1495089063)*a^(11) - (189816205)/(2990178126)*a^(10) + (342903532)/(498363021)*a^(9) + (4695165091)/(1495089063)*a^(8) + (2903261701)/(2990178126)*a^(7) - (2594329315)/(996726042)*a^(6) + (175322923)/(55373669)*a^(5) - (4261104197)/(498363021)*a^(4) + (8301097)/(166121007)*a^(3) - (30112846747)/(5980356252)*a^(2) - (4167882473)/(5980356252)*a + (228229804)/(498363021) , (12525497)/(664484028)*a^(14) + (273835877)/(5980356252)*a^(13) - (111579902)/(1495089063)*a^(12) - (7736561)/(38335617)*a^(11) - (55346275)/(2990178126)*a^(10) + (548773211)/(1495089063)*a^(9) + (245484410)/(166121007)*a^(8) + (5897082367)/(2990178126)*a^(7) - (6692528359)/(2990178126)*a^(6) - (126593446)/(55373669)*a^(5) + (1103037968)/(498363021)*a^(4) - (2782687304)/(498363021)*a^(3) - (230662423)/(1993452084)*a^(2) + (7940692933)/(5980356252)*a + (58285676)/(115006851) , (85811095)/(5980356252)*a^(14) + (38672809)/(5980356252)*a^(13) - (78762698)/(1495089063)*a^(12) - (54826717)/(1495089063)*a^(11) + (25068337)/(2990178126)*a^(10) + (237438353)/(1495089063)*a^(9) + (1192436668)/(1495089063)*a^(8) + (670962101)/(2990178126)*a^(7) - (3429415903)/(2990178126)*a^(6) + (541790000)/(498363021)*a^(5) - (838310248)/(498363021)*a^(4) - (278490376)/(166121007)*a^(3) + (14499049469)/(5980356252)*a^(2) - (14877943219)/(5980356252)*a + (2891670290)/(1495089063) , (35149801)/(1993452084)*a^(14) + (95848729)/(5980356252)*a^(13) - (194727023)/(2990178126)*a^(12) - (97354163)/(996726042)*a^(11) + (18627683)/(1495089063)*a^(10) + (838148867)/(2990178126)*a^(9) + (1074462953)/(996726042)*a^(8) + (989137393)/(1495089063)*a^(7) - (195992122)/(115006851)*a^(6) - (319531255)/(996726042)*a^(5) - (748177355)/(996726042)*a^(4) - (241671327)/(110747338)*a^(3) - (953020007)/(1993452084)*a^(2) + (10465930775)/(5980356252)*a + (118242322)/(1495089063) , (131703529)/(2990178126)*a^(14) - (35219164)/(1495089063)*a^(13) - (392762183)/(2990178126)*a^(12) - (68638309)/(2990178126)*a^(11) + (114116117)/(2990178126)*a^(10) + (1638447419)/(2990178126)*a^(9) + (5798055481)/(2990178126)*a^(8) - (3490543157)/(2990178126)*a^(7) - (7196096717)/(2990178126)*a^(6) + (1299413593)/(332242014)*a^(5) - (981695881)/(110747338)*a^(4) + (5667238495)/(996726042)*a^(3) - (5448715238)/(1495089063)*a^(2) + (6018983855)/(2990178126)*a + (1272996175)/(1495089063) , (12869807)/(5980356252)*a^(14) + (102828013)/(5980356252)*a^(13) - (1470855)/(55373669)*a^(12) - (87303722)/(1495089063)*a^(11) + (119867443)/(2990178126)*a^(10) + (48049444)/(498363021)*a^(9) + (381427070)/(1495089063)*a^(8) + (1628137391)/(2990178126)*a^(7) - (1167993683)/(996726042)*a^(6) - (315247015)/(498363021)*a^(5) + (1436637160)/(498363021)*a^(4) - (1503018577)/(498363021)*a^(3) + (8963206909)/(5980356252)*a^(2) - (5858462743)/(5980356252)*a - (286702826)/(498363021) ], 31837.7190213, []]