/* 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 - 2*x^16 + 9*x^15 - 23*x^14 + 59*x^13 - 112*x^12 + 156*x^11 - 49*x^10 + 221*x^9 - 25*x^8 - 162*x^7 - 4*x^6 + 553*x^5 + 1435*x^4 + 1716*x^3 + 1462*x^2 + 615*x + 225, 17, 2, [1, 8], 58497592625273225470725121, [1663], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/21*a^11 + 2/21*a^10 - 2/21*a^9 + 3/7*a^8 - 1/7*a^7 + 1/7*a^6 + 2/7*a^5 - 3/7*a^4 - 4/21*a^3 - 5/21*a^2 - 1/21*a + 3/7, 1/21*a^12 + 1/21*a^10 - 1/21*a^9 + 3/7*a^7 - 1/3*a^4 + 1/7*a^3 + 2/21*a^2 + 4/21*a + 1/7, 1/21*a^13 - 1/7*a^10 + 2/21*a^9 + 1/7*a^7 - 1/7*a^6 + 8/21*a^5 - 3/7*a^4 + 2/7*a^3 + 3/7*a^2 + 4/21*a - 3/7, 1/105*a^14 + 2/105*a^13 - 1/105*a^12 + 2/105*a^11 + 1/21*a^10 + 2/105*a^9 - 12/35*a^8 + 1/5*a^7 + 38/105*a^6 - 26/105*a^5 - 10/21*a^4 + 19/105*a^3 - 26/105*a^2 + 4/105*a + 3/7, 1/315*a^15 - 1/315*a^14 - 1/45*a^13 - 1/315*a^11 + 52/315*a^10 - 2/315*a^9 + 8/105*a^8 + 1/9*a^7 - 1/9*a^6 + 19/45*a^5 + 11/35*a^4 - 14/45*a^3 + 2/315*a^2 + 83/315*a - 10/21, 1/621500650885485*a^16 + 7512315506/88785807269355*a^15 + 130614479333/621500650885485*a^14 - 446711379343/41433376725699*a^13 + 279502235714/12683686752765*a^12 + 4266351704/183063520143*a^11 + 40188942280804/621500650885485*a^10 - 1216593563974/69055627876165*a^9 + 75376096973189/621500650885485*a^8 + 196803201298633/621500650885485*a^7 - 208227430263023/621500650885485*a^6 + 16245006096862/41433376725699*a^5 - 35586115088516/621500650885485*a^4 + 57728372863951/124300130177097*a^3 - 232377545045389/621500650885485*a^2 - 28320475462726/69055627876165*a - 805141343915/13811125575233], 0, 1, [], 0, [ (807961821524)/(207166883628495)*a^(16) + (916876629)/(9865089696595)*a^(15) + (917770481157)/(69055627876165)*a^(14) - (4534937749397)/(207166883628495)*a^(13) + (181073112196)/(4227895584255)*a^(12) + (3391295776)/(305105866905)*a^(11) - (38677989850562)/(207166883628495)*a^(10) + (127275608118094)/(207166883628495)*a^(9) + (69897254790647)/(41433376725699)*a^(8) - (59684250766426)/(69055627876165)*a^(7) - (126565786744219)/(69055627876165)*a^(6) - (144729808258012)/(207166883628495)*a^(5) + (221483990195431)/(41433376725699)*a^(4) + (2207047036191152)/(207166883628495)*a^(3) + (1964315735148101)/(207166883628495)*a^(2) + (862591223479007)/(207166883628495)*a + (16550539453012)/(13811125575233) , (8245455661)/(2135741068335)*a^(16) - (8378762269)/(915317600715)*a^(15) + (205521916717)/(6407223205005)*a^(14) - (549871563089)/(6407223205005)*a^(13) + (2999236894)/(14528850805)*a^(12) - (336809164214)/(915317600715)*a^(11) + (2507150164139)/(6407223205005)*a^(10) + (1884685876328)/(6407223205005)*a^(9) + (20592971953)/(711913689445)*a^(8) - (2758439959127)/(6407223205005)*a^(7) - (2989636884217)/(6407223205005)*a^(6) + (3635726371679)/(6407223205005)*a^(5) + (2012577033834)/(711913689445)*a^(4) + (17800456495253)/(6407223205005)*a^(3) + (12563393671306)/(6407223205005)*a^(2) + (4701202642267)/(6407223205005)*a + (41544525481)/(427148213667) , (1368680141438)/(621500650885485)*a^(16) - (168354253078)/(88785807269355)*a^(15) + (445256807984)/(41433376725699)*a^(14) - (10864605267913)/(621500650885485)*a^(13) + (429972332416)/(12683686752765)*a^(12) + (1457612792)/(183063520143)*a^(11) - (41802244180484)/(207166883628495)*a^(10) + (491209730910364)/(621500650885485)*a^(9) - (41490351119650)/(124300130177097)*a^(8) + (379332013837153)/(621500650885485)*a^(7) - (177548000522299)/(207166883628495)*a^(6) + (6507268148078)/(124300130177097)*a^(5) + (1166978187009314)/(621500650885485)*a^(4) + (2569541342273957)/(621500650885485)*a^(3) + (148243861708885)/(41433376725699)*a^(2) + (1700045107118843)/(621500650885485)*a + (16570609651403)/(41433376725699) , (4651056026)/(356160831453)*a^(16) - (42128246)/(16960039593)*a^(15) + (83233254814)/(1780804157265)*a^(14) - (106076404102)/(1780804157265)*a^(13) + (487797977)/(5191848855)*a^(12) + (196316674)/(874228845)*a^(11) - (447098981978)/(356160831453)*a^(10) + (6762686039773)/(1780804157265)*a^(9) + (3561019546151)/(1780804157265)*a^(8) + (56812949623)/(593601385755)*a^(7) - (7873557816958)/(1780804157265)*a^(6) - (4660242560114)/(1780804157265)*a^(5) + (4338536480195)/(356160831453)*a^(4) + (20404585540277)/(593601385755)*a^(3) + (61841913187051)/(1780804157265)*a^(2) + (30980277347771)/(1780804157265)*a + (772638489596)/(118720277151) , (13995327571007)/(621500650885485)*a^(16) - (1989067538557)/(29595269089785)*a^(15) + (140856591344453)/(621500650885485)*a^(14) - (399572367224396)/(621500650885485)*a^(13) + (20252947439824)/(12683686752765)*a^(12) - (317235222662)/(101701955635)*a^(11) + (2610693276320491)/(621500650885485)*a^(10) - (540931489885168)/(621500650885485)*a^(9) + (393343755992098)/(621500650885485)*a^(8) - (547838034833441)/(207166883628495)*a^(7) - (2141127489771008)/(621500650885485)*a^(6) + (3688711325574026)/(621500650885485)*a^(5) + (9215118141519779)/(621500650885485)*a^(4) + (891978653025473)/(69055627876165)*a^(3) - (2478489254955061)/(621500650885485)*a^(2) - (4505319278044202)/(621500650885485)*a - (235193918529566)/(41433376725699) , (1479887124538)/(621500650885485)*a^(16) - (67476819679)/(29595269089785)*a^(15) + (10529198536249)/(621500650885485)*a^(14) - (3682960179602)/(124300130177097)*a^(13) + (1050679615397)/(12683686752765)*a^(12) - (2383700153)/(20340391127)*a^(11) + (30963749710202)/(621500650885485)*a^(10) + (151610375207902)/(621500650885485)*a^(9) + (128716946166332)/(621500650885485)*a^(8) + (28900534245283)/(207166883628495)*a^(7) - (28417238511499)/(621500650885485)*a^(6) - (44477211390340)/(124300130177097)*a^(5) + (473281201727107)/(621500650885485)*a^(4) + (17754354222421)/(13811125575233)*a^(3) + (1107449201519128)/(621500650885485)*a^(2) + (942032492219498)/(621500650885485)*a + (38764962935291)/(41433376725699) , (246477011933)/(69055627876165)*a^(16) - (275572771513)/(29595269089785)*a^(15) + (8207599869401)/(207166883628495)*a^(14) - (21485645476727)/(207166883628495)*a^(13) + (1240540728611)/(4227895584255)*a^(12) - (178652950159)/(305105866905)*a^(11) + (209810777135773)/(207166883628495)*a^(10) - (191523398414281)/(207166883628495)*a^(9) + (23253521447700)/(13811125575233)*a^(8) - (363259091304383)/(207166883628495)*a^(7) + (432855310659118)/(207166883628495)*a^(6) - (153241064726767)/(207166883628495)*a^(5) + (198537605710013)/(41433376725699)*a^(4) + (609716827932592)/(207166883628495)*a^(3) + (930731483610206)/(207166883628495)*a^(2) + (479204329247737)/(207166883628495)*a + (22350040989608)/(13811125575233) , (3654057582592)/(621500650885485)*a^(16) - (23060860826)/(1973017939319)*a^(15) + (5794924960268)/(124300130177097)*a^(14) - (73007223780322)/(621500650885485)*a^(13) + (3570953715548)/(12683686752765)*a^(12) - (146242707473)/(305105866905)*a^(11) + (58085301587743)/(124300130177097)*a^(10) + (376294519849201)/(621500650885485)*a^(9) + (41194534077017)/(621500650885485)*a^(8) + (24964799375549)/(69055627876165)*a^(7) - (927965111674711)/(621500650885485)*a^(6) + (113386352669578)/(621500650885485)*a^(5) + (2602260896394982)/(621500650885485)*a^(4) + (1556602418607899)/(207166883628495)*a^(3) + (5072141574511969)/(621500650885485)*a^(2) + (660324619173838)/(124300130177097)*a + (72913392949199)/(41433376725699) ], 3798575.81941, []]