/* 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 - 4*x^14 + 7*x^13 - 17*x^12 + 51*x^11 - 87*x^10 - 7*x^9 + 172*x^8 - 100*x^7 - 69*x^6 - 17*x^5 + 62*x^4 + 50*x^3 - 22*x^2 - 18*x - 1, 15, 4, [5, 5], -24417546297445042591, [31], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, 1/67*a^13 - 30/67*a^12 + 15/67*a^11 - 27/67*a^10 + 27/67*a^9 + 22/67*a^8 + 17/67*a^7 + 32/67*a^6 + 14/67*a^5 - 12/67*a^4 + 6/67*a^3 - 9/67*a^2 + 7/67*a - 23/67, 1/2328257544133*a^14 + 16975831322/2328257544133*a^13 + 935820820203/2328257544133*a^12 - 434972844569/2328257544133*a^11 - 814302805997/2328257544133*a^10 - 211932806836/2328257544133*a^9 + 12371814752/2328257544133*a^8 - 357482693880/2328257544133*a^7 - 6663952029/2328257544133*a^6 - 683853589830/2328257544133*a^5 - 1156621051070/2328257544133*a^4 + 132213504029/2328257544133*a^3 - 1154630429440/2328257544133*a^2 - 892730603990/2328257544133*a + 1076347464613/2328257544133], 0, 1, [], 0, [ (243059409)/(2328257544133)*a^(14) - (58795611972)/(2328257544133)*a^(13) + (283835217917)/(2328257544133)*a^(12) - (671174577289)/(2328257544133)*a^(11) + (1545391784548)/(2328257544133)*a^(10) - (4167500959675)/(2328257544133)*a^(9) + (8618200703888)/(2328257544133)*a^(8) - (6698796274221)/(2328257544133)*a^(7) - (6040944747651)/(2328257544133)*a^(6) + (14805483642160)/(2328257544133)*a^(5) - (5586924398371)/(2328257544133)*a^(4) - (724165140729)/(2328257544133)*a^(3) - (5814004335306)/(2328257544133)*a^(2) + (4159657329275)/(2328257544133)*a + (3685669397498)/(2328257544133) , (267585097919)/(2328257544133)*a^(14) - (1253520182462)/(2328257544133)*a^(13) + (2641390360838)/(2328257544133)*a^(12) - (6138719447285)/(2328257544133)*a^(11) + (17569473744530)/(2328257544133)*a^(10) - (34144131166079)/(2328257544133)*a^(9) + (18485848976355)/(2328257544133)*a^(8) + (36794259919607)/(2328257544133)*a^(7) - (47010188618512)/(2328257544133)*a^(6) + (9288455272432)/(2328257544133)*a^(5) - (14348444844804)/(2328257544133)*a^(4) + (23900361256751)/(2328257544133)*a^(3) + (6093122570911)/(2328257544133)*a^(2) - (4109472049064)/(2328257544133)*a - (2536176204826)/(2328257544133) , (107616096499)/(2328257544133)*a^(14) - (279921774352)/(2328257544133)*a^(13) + (273579756429)/(2328257544133)*a^(12) - (1174327988520)/(2328257544133)*a^(11) + (3541136186138)/(2328257544133)*a^(10) - (3439217257266)/(2328257544133)*a^(9) - (8823909868513)/(2328257544133)*a^(8) + (10130838537873)/(2328257544133)*a^(7) + (10141573761668)/(2328257544133)*a^(6) - (5961882724531)/(2328257544133)*a^(5) - (18352065081316)/(2328257544133)*a^(4) - (664268199043)/(2328257544133)*a^(3) + (11897335245225)/(2328257544133)*a^(2) + (3226043066405)/(2328257544133)*a - (827874003385)/(2328257544133) , (15534851802)/(2328257544133)*a^(14) - (310420367835)/(2328257544133)*a^(13) + (846059759719)/(2328257544133)*a^(12) - (1224851620432)/(2328257544133)*a^(11) + (4012431435855)/(2328257544133)*a^(10) - (10833583530070)/(2328257544133)*a^(9) + (11924086802913)/(2328257544133)*a^(8) + (16551040214255)/(2328257544133)*a^(7) - (28146605200127)/(2328257544133)*a^(6) - (9744470481690)/(2328257544133)*a^(5) + (11980428858427)/(2328257544133)*a^(4) + (27406648660638)/(2328257544133)*a^(3) - (1611692855579)/(2328257544133)*a^(2) - (13921249553043)/(2328257544133)*a - (3308306735870)/(2328257544133) , (221069717989)/(2328257544133)*a^(14) - (812803982821)/(2328257544133)*a^(13) + (1441695630178)/(2328257544133)*a^(12) - (3830724914016)/(2328257544133)*a^(11) + (10919146009939)/(2328257544133)*a^(10) - (18122667063096)/(2328257544133)*a^(9) - (453458022259)/(2328257544133)*a^(8) + (27069382635229)/(2328257544133)*a^(7) - (17519724693137)/(2328257544133)*a^(6) + (69067802221)/(2328257544133)*a^(5) - (13704436043447)/(2328257544133)*a^(4) + (4042596563740)/(2328257544133)*a^(3) + (4776557664914)/(2328257544133)*a^(2) + (1488718191345)/(2328257544133)*a + (3046632114016)/(2328257544133) , (106584952006)/(2328257544133)*a^(14) - (459656461286)/(2328257544133)*a^(13) + (1012465523189)/(2328257544133)*a^(12) - (2613992273846)/(2328257544133)*a^(11) + (7131863600067)/(2328257544133)*a^(10) - (13756623825798)/(2328257544133)*a^(9) + (10104727394380)/(2328257544133)*a^(8) + (3923788363950)/(2328257544133)*a^(7) - (10441282622150)/(2328257544133)*a^(6) + (11823397836943)/(2328257544133)*a^(5) - (15073170859941)/(2328257544133)*a^(4) + (9596079935112)/(2328257544133)*a^(3) - (2226004000257)/(2328257544133)*a^(2) - (1474073828694)/(2328257544133)*a + (942994534295)/(2328257544133) , (1151156254397)/(2328257544133)*a^(14) - (4823448537837)/(2328257544133)*a^(13) + (9134091304009)/(2328257544133)*a^(12) - (21865623729734)/(2328257544133)*a^(11) + (63766691902375)/(2328257544133)*a^(10) - (114734559068094)/(2328257544133)*a^(9) + (20949315679253)/(2328257544133)*a^(8) + (182877151681740)/(2328257544133)*a^(7) - (154002735802108)/(2328257544133)*a^(6) - (28038620815650)/(2328257544133)*a^(5) - (22617506148656)/(2328257544133)*a^(4) + (69907726933390)/(2328257544133)*a^(3) + (37427374092455)/(2328257544133)*a^(2) - (29479559531629)/(2328257544133)*a - (9738854803650)/(2328257544133) , (1049496746131)/(2328257544133)*a^(14) - (4249575155725)/(2328257544133)*a^(13) + (8000993702770)/(2328257544133)*a^(12) - (19776577180236)/(2328257544133)*a^(11) + (56975492704171)/(2328257544133)*a^(10) - (100984549198382)/(2328257544133)*a^(9) + (17616560734730)/(2328257544133)*a^(8) + (148832776558315)/(2328257544133)*a^(7) - (123755117658611)/(2328257544133)*a^(6) - (8095199139875)/(2328257544133)*a^(5) - (37055740357823)/(2328257544133)*a^(4) + (49720924501894)/(2328257544133)*a^(3) + (27438573459884)/(2328257544133)*a^(2) - (17514774224470)/(2328257544133)*a - (659456866622)/(2328257544133) , (292952766669)/(2328257544133)*a^(14) - (834149796827)/(2328257544133)*a^(13) + (1144564268545)/(2328257544133)*a^(12) - (3951254014228)/(2328257544133)*a^(11) + (11055772575791)/(2328257544133)*a^(10) - (14236867825707)/(2328257544133)*a^(9) - (14330025219917)/(2328257544133)*a^(8) + (25327746559616)/(2328257544133)*a^(7) + (6359205033623)/(2328257544133)*a^(6) - (4692446767528)/(2328257544133)*a^(5) - (26613128068049)/(2328257544133)*a^(4) - (5299438870211)/(2328257544133)*a^(3) + (10542446704233)/(2328257544133)*a^(2) + (6876427063067)/(2328257544133)*a + (1823742076844)/(2328257544133) ], 6179.9389969906615, [[x^3 + x - 1, 1], [x^5 - x^4 - 12*x^3 + 21*x^2 + x - 5, 1]]]