/* 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^17 - 4*x^16 + x^15 + 16*x^14 - 30*x^13 - 2*x^12 + 88*x^11 + 143*x^10 + 133*x^9 - 515*x^8 - 803*x^7 - 68*x^6 + 1252*x^5 + 2972*x^4 + 2855*x^3 + 1505*x^2 + 550*x + 125, 17, 2, [1, 8], 16071318903145633687890625, [5, 283], [1, a, a^2, a^3, a^4, a^5, a^6, 1/5*a^7 - 1/5*a^6 + 1/5*a^5 + 1/5*a^4 + 2/5*a^2, 1/5*a^8 + 2/5*a^5 + 1/5*a^4 + 2/5*a^3 + 2/5*a^2, 1/5*a^9 + 2/5*a^6 + 1/5*a^5 + 2/5*a^4 + 2/5*a^3, 1/5*a^10 - 2/5*a^6 + 1/5*a^2, 1/25*a^11 - 2/25*a^10 + 2/25*a^9 + 2/25*a^8 + 2/25*a^7 + 4/25*a^6 - 1/5*a^5 - 2/5*a^4 + 9/25*a^3 + 2/5*a, 1/25*a^12 - 2/25*a^10 + 1/25*a^9 + 1/25*a^8 - 2/25*a^7 + 3/25*a^6 + 1/5*a^5 - 11/25*a^4 - 2/25*a^3 + 1/5*a^2 - 1/5*a, 1/125*a^13 - 2/125*a^11 + 11/125*a^10 + 6/125*a^9 - 2/125*a^8 - 2/125*a^7 - 1/5*a^6 - 11/125*a^5 + 3/125*a^4 + 8/25*a^3 - 1/25*a^2 + 1/5*a, 1/125*a^14 - 2/125*a^12 + 1/125*a^11 + 1/125*a^10 + 3/125*a^9 + 3/125*a^8 + 1/25*a^7 - 1/125*a^6 + 53/125*a^5 + 3/25*a^4 + 1/25*a^3 + 1/5*a^2 + 1/5*a, 1/875*a^15 + 2/875*a^14 + 3/875*a^13 + 1/125*a^12 + 3/875*a^11 - 1/175*a^10 - 8/125*a^9 + 81/875*a^8 + 24/875*a^7 - 229/875*a^6 - 184/875*a^5 + 8/175*a^4 + 8/25*a^3 - 1/35*a^2 - 1/35*a - 2/7, 1/2615944069375*a^16 + 218937184/2615944069375*a^15 + 368743109/373706295625*a^14 + 737489092/523188813875*a^13 + 7919246736/523188813875*a^12 - 35805577492/2615944069375*a^11 + 196162750347/2615944069375*a^10 - 26640288041/2615944069375*a^9 - 46749711864/523188813875*a^8 + 47954499897/523188813875*a^7 + 710493631017/2615944069375*a^6 - 229449530337/2615944069375*a^5 + 171732759551/2615944069375*a^4 + 244902547024/523188813875*a^3 + 33135306798/523188813875*a^2 - 52235576909/104637762775*a - 4281699832/20927552555], 0, 1, [], 1, [ (637787931)/(74741259125)*a^(16) - (19735843466)/(523188813875)*a^(15) + (11717674662)/(523188813875)*a^(14) + (70392364229)/(523188813875)*a^(13) - (23053849088)/(74741259125)*a^(12) + (32519538196)/(523188813875)*a^(11) + (411351224579)/(523188813875)*a^(10) + (14773405428)/(14948251825)*a^(9) + (195075083156)/(523188813875)*a^(8) - (2577709140988)/(523188813875)*a^(7) - (2331344948939)/(523188813875)*a^(6) + (1230023036703)/(523188813875)*a^(5) + (45790807938)/(4185510511)*a^(4) + (302154989063)/(14948251825)*a^(3) + (248973906373)/(20927552555)*a^(2) + (74183967756)/(20927552555)*a + (3563748152)/(4185510511) , (13166742333)/(2615944069375)*a^(16) - (53402672318)/(2615944069375)*a^(15) + (2871733867)/(373706295625)*a^(14) + (37450696694)/(523188813875)*a^(13) - (74800927391)/(523188813875)*a^(12) + (37313929019)/(2615944069375)*a^(11) + (993139224656)/(2615944069375)*a^(10) + (1892906104857)/(2615944069375)*a^(9) + (405726948453)/(523188813875)*a^(8) - (258072843687)/(104637762775)*a^(7) - (11520362899249)/(2615944069375)*a^(6) - (2748375903186)/(2615944069375)*a^(5) + (17611993464788)/(2615944069375)*a^(4) + (8695071255982)/(523188813875)*a^(3) + (8193945281974)/(523188813875)*a^(2) + (614710345213)/(104637762775)*a + (12004814404)/(20927552555) , (2547137324)/(373706295625)*a^(16) - (67002087273)/(2615944069375)*a^(15) - (28336310671)/(2615944069375)*a^(14) + (88188732467)/(523188813875)*a^(13) - (19696775886)/(74741259125)*a^(12) - (311794279516)/(2615944069375)*a^(11) + (2531811900446)/(2615944069375)*a^(10) + (258786396636)/(373706295625)*a^(9) + (418340941386)/(523188813875)*a^(8) - (2432027134891)/(523188813875)*a^(7) - (15943929525444)/(2615944069375)*a^(6) + (9019097649209)/(2615944069375)*a^(5) + (27103434402048)/(2615944069375)*a^(4) + (1518813599661)/(74741259125)*a^(3) + (6515865863629)/(523188813875)*a^(2) - (149264678022)/(104637762775)*a - (38200000086)/(20927552555) , (1665828917)/(523188813875)*a^(16) - (1619984766)/(104637762775)*a^(15) + (957469116)/(74741259125)*a^(14) + (30931238523)/(523188813875)*a^(13) - (18102605051)/(104637762775)*a^(12) + (12183650057)/(104637762775)*a^(11) + (164619280093)/(523188813875)*a^(10) + (23782956304)/(523188813875)*a^(9) + (123107642674)/(523188813875)*a^(8) - (1176423255136)/(523188813875)*a^(7) - (339794484966)/(523188813875)*a^(6) + (1128233959542)/(523188813875)*a^(5) + (1575932467653)/(523188813875)*a^(4) + (649956666822)/(104637762775)*a^(3) - (28896962441)/(104637762775)*a^(2) - (24991638104)/(20927552555)*a - (2972644096)/(4185510511) , (3564399001)/(2615944069375)*a^(16) - (12800355101)/(2615944069375)*a^(15) - (4652689257)/(2615944069375)*a^(14) + (13536537366)/(523188813875)*a^(13) - (15913871858)/(523188813875)*a^(12) - (17238456946)/(373706295625)*a^(11) + (440018412297)/(2615944069375)*a^(10) + (653868099669)/(2615944069375)*a^(9) + (49279812934)/(523188813875)*a^(8) - (47658341973)/(74741259125)*a^(7) - (3955173682518)/(2615944069375)*a^(6) + (343300369028)/(2615944069375)*a^(5) + (6118823155576)/(2615944069375)*a^(4) + (1965682977514)/(523188813875)*a^(3) + (2155287959173)/(523188813875)*a^(2) + (19845053193)/(14948251825)*a + (4062812458)/(20927552555) , (1407393157)/(373706295625)*a^(16) - (9024916747)/(373706295625)*a^(15) + (19306766671)/(373706295625)*a^(14) - (139502178)/(14948251825)*a^(13) - (12714319477)/(74741259125)*a^(12) + (124650242656)/(373706295625)*a^(11) - (29838771061)/(373706295625)*a^(10) + (99067161333)/(373706295625)*a^(9) - (33161347594)/(74741259125)*a^(8) - (149390155078)/(74741259125)*a^(7) + (699414079859)/(373706295625)*a^(6) + (547092284296)/(373706295625)*a^(5) + (1088517791337)/(373706295625)*a^(4) + (72258209548)/(74741259125)*a^(3) - (354827466699)/(74741259125)*a^(2) - (13096115938)/(14948251825)*a - (3710357944)/(2989650365) , (26682634334)/(523188813875)*a^(16) - (115269991652)/(523188813875)*a^(15) + (8698387733)/(74741259125)*a^(14) + (420847695591)/(523188813875)*a^(13) - (950062980436)/(523188813875)*a^(12) + (215767701533)/(523188813875)*a^(11) + (2408079371463)/(523188813875)*a^(10) + (2918593963764)/(523188813875)*a^(9) + (2461194816832)/(523188813875)*a^(8) - (14669613961787)/(523188813875)*a^(7) - (3393405721614)/(104637762775)*a^(6) + (5281809739604)/(523188813875)*a^(5) + (32271323889529)/(523188813875)*a^(4) + (13627198799863)/(104637762775)*a^(3) + (10342688082707)/(104637762775)*a^(2) + (730359633127)/(20927552555)*a + (61559023803)/(4185510511) , (28692107627)/(2615944069375)*a^(16) - (165623700257)/(2615944069375)*a^(15) + (306890546141)/(2615944069375)*a^(14) - (144266471)/(523188813875)*a^(13) - (198988531614)/(523188813875)*a^(12) + (234493920708)/(373706295625)*a^(11) + (180546534134)/(2615944069375)*a^(10) + (3066531320213)/(2615944069375)*a^(9) - (419668759404)/(523188813875)*a^(8) - (358934565213)/(74741259125)*a^(7) + (58372524419)/(2615944069375)*a^(6) + (4845469231446)/(2615944069375)*a^(5) + (28928181591077)/(2615944069375)*a^(4) + (6137692964538)/(523188813875)*a^(3) + (2308513454971)/(523188813875)*a^(2) + (21767117471)/(14948251825)*a + (14326819786)/(20927552555) ], 2534195.05633, []]