/* 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^16 - 3*x^15 - 25*x^14 + 92*x^13 + 98*x^12 - 583*x^11 + 49*x^10 + 1383*x^9 - 647*x^8 - 1357*x^7 + 807*x^6 + 520*x^5 - 251*x^4 - 114*x^3 + 19*x^2 + 11*x + 1, 16, 22, [16, 0], 81753664774171848863873, [13, 17], [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, 1/103*a^14 - 25/103*a^13 + 9/103*a^12 + 22/103*a^11 + 17/103*a^10 + 51/103*a^9 + 43/103*a^8 - 26/103*a^7 - 15/103*a^6 + 29/103*a^5 - 22/103*a^4 + 48/103*a^3 - 49/103*a^2 - 11/103*a + 1/103, 1/2549095397*a^15 - 7272992/2549095397*a^14 + 1027924379/2549095397*a^13 + 1194144945/2549095397*a^12 + 78928993/2549095397*a^11 + 1239857956/2549095397*a^10 + 396383097/2549095397*a^9 + 155290479/2549095397*a^8 + 341311969/2549095397*a^7 + 1017202377/2549095397*a^6 - 769072344/2549095397*a^5 + 1223619063/2549095397*a^4 + 973861671/2549095397*a^3 - 1270128219/2549095397*a^2 + 1007307724/2549095397*a + 534884425/2549095397], 0, 1, [], 1, [ (6579520002)/(2549095397)*a^(15) - (19984358257)/(2549095397)*a^(14) - (162613400906)/(2549095397)*a^(13) + (608801141020)/(2549095397)*a^(12) + (592460444358)/(2549095397)*a^(11) - (3775854314842)/(2549095397)*a^(10) + (620220423320)/(2549095397)*a^(9) + (8555228694011)/(2549095397)*a^(8) - (4819970670709)/(2549095397)*a^(7) - (7522028118263)/(2549095397)*a^(6) + (5580411180913)/(2549095397)*a^(5) + (19827201556)/(24748499)*a^(4) - (1530341504332)/(2549095397)*a^(3) - (298827581851)/(2549095397)*a^(2) + (107365874562)/(2549095397)*a + (18955080480)/(2549095397) , (9285927783)/(2549095397)*a^(15) - (29798597636)/(2549095397)*a^(14) - (225300057243)/(2549095397)*a^(13) + (900085561514)/(2549095397)*a^(12) + (705287388131)/(2549095397)*a^(11) - (5518938094846)/(2549095397)*a^(10) + (1705168231163)/(2549095397)*a^(9) + (12214270857430)/(2549095397)*a^(8) - (8760422975358)/(2549095397)*a^(7) - (10119544229722)/(2549095397)*a^(6) + (9753788945887)/(2549095397)*a^(5) + (2165724089857)/(2549095397)*a^(4) - (2807514528404)/(2549095397)*a^(3) - (273001878104)/(2549095397)*a^(2) + (250000721849)/(2549095397)*a + (33067922121)/(2549095397) , (2193093357)/(2549095397)*a^(15) - (7255557041)/(2549095397)*a^(14) - (52316957658)/(2549095397)*a^(13) + (217351233839)/(2549095397)*a^(12) + (140660833855)/(2549095397)*a^(11) - (1304348653824)/(2549095397)*a^(10) + (550423645503)/(2549095397)*a^(9) + (2754172422128)/(2549095397)*a^(8) - (2342346938703)/(2549095397)*a^(7) - (2014689649504)/(2549095397)*a^(6) + (2413755314349)/(2549095397)*a^(5) + (213291662191)/(2549095397)*a^(4) - (579209085174)/(2549095397)*a^(3) - (49166277492)/(2549095397)*a^(2) + (46047096886)/(2549095397)*a + (9112013295)/(2549095397) , (212207193)/(2549095397)*a^(15) + (1630328359)/(2549095397)*a^(14) - (10825581471)/(2549095397)*a^(13) - (39276021859)/(2549095397)*a^(12) + (193813782758)/(2549095397)*a^(11) + (170288736204)/(2549095397)*a^(10) - (1071808825073)/(2549095397)*a^(9) - (73463030416)/(2549095397)*a^(8) + (2332710209627)/(2549095397)*a^(7) - (548758383942)/(2549095397)*a^(6) - (2012781154804)/(2549095397)*a^(5) + (655934581564)/(2549095397)*a^(4) + (526374686893)/(2549095397)*a^(3) - (77990475016)/(2549095397)*a^(2) - (55799229067)/(2549095397)*a - (4004668128)/(2549095397) , (4632279518)/(2549095397)*a^(15) - (16016527879)/(2549095397)*a^(14) - (108491044345)/(2549095397)*a^(13) + (476287639073)/(2549095397)*a^(12) + (235528425842)/(2549095397)*a^(11) - (2821280489539)/(2549095397)*a^(10) + (1543314061208)/(2549095397)*a^(9) + (5778009041656)/(2549095397)*a^(8) - (5808423710176)/(2549095397)*a^(7) - (3801923554863)/(2549095397)*a^(6) + (5860549636337)/(2549095397)*a^(5) - (119160509457)/(2549095397)*a^(4) - (1428161119737)/(2549095397)*a^(3) + (80066223510)/(2549095397)*a^(2) + (115706150219)/(2549095397)*a + (10792473299)/(2549095397) , (9774492258)/(2549095397)*a^(15) - (32082068659)/(2549095397)*a^(14) - (235681753197)/(2549095397)*a^(13) + (966563263756)/(2549095397)*a^(12) + (695188191358)/(2549095397)*a^(11) - (5920415553374)/(2549095397)*a^(10) + (2089918127681)/(2549095397)*a^(9) + (13096783353476)/(2549095397)*a^(8) - (9889328169310)/(2549095397)*a^(7) - (10890540681321)/(2549095397)*a^(6) + (10847590061775)/(2549095397)*a^(5) + (2451906206023)/(2549095397)*a^(4) - (3104082129029)/(2549095397)*a^(3) - (399609553753)/(2549095397)*a^(2) + (277748862214)/(2549095397)*a + (46914758521)/(2549095397) , (2788086269)/(2549095397)*a^(15) - (7445713925)/(2549095397)*a^(14) - (71904199454)/(2549095397)*a^(13) + (232739682141)/(2549095397)*a^(12) + (341831297202)/(2549095397)*a^(11) - (1506892575870)/(2549095397)*a^(10) - (279739877259)/(2549095397)*a^(9) + (3692271746876)/(2549095397)*a^(8) - (912658651706)/(2549095397)*a^(7) - (3771464738253)/(2549095397)*a^(6) + (1576469701481)/(2549095397)*a^(5) + (1404998180817)/(2549095397)*a^(4) - (614253197728)/(2549095397)*a^(3) - (138287515336)/(2549095397)*a^(2) + (49235359938)/(2549095397)*a + (4625531467)/(2549095397) , (2119689325)/(2549095397)*a^(15) - (7315943605)/(2549095397)*a^(14) - (50117923417)/(2549095397)*a^(13) + (218434966922)/(2549095397)*a^(12) + (120661530545)/(2549095397)*a^(11) - (1316332364826)/(2549095397)*a^(10) + (628433531738)/(2549095397)*a^(9) + (2811338862030)/(2549095397)*a^(8) - (2484079751063)/(2549095397)*a^(7) - (2122300065311)/(2549095397)*a^(6) + (2527945858817)/(2549095397)*a^(5) + (265458960719)/(2549095397)*a^(4) - (608146088562)/(2549095397)*a^(3) - (27692839377)/(2549095397)*a^(2) + (42711696796)/(2549095397)*a + (7181374915)/(2549095397) , (5364404540)/(2549095397)*a^(15) - (18548837136)/(2549095397)*a^(14) - (127513696369)/(2549095397)*a^(13) + (556400598018)/(2549095397)*a^(12) + (320714100815)/(2549095397)*a^(11) - (3416637404200)/(2549095397)*a^(10) + (1565000564280)/(2549095397)*a^(9) + (7612558334664)/(2549095397)*a^(8) - (63624518488)/(24748499)*a^(7) - (6449139468964)/(2549095397)*a^(6) + (7301425189679)/(2549095397)*a^(5) + (1563072331981)/(2549095397)*a^(4) - (2378360186842)/(2549095397)*a^(3) - (271987707008)/(2549095397)*a^(2) + (254255124097)/(2549095397)*a + (43643520444)/(2549095397) , (15627484115)/(2549095397)*a^(15) - (50878009377)/(2549095397)*a^(14) - (376688235538)/(2549095397)*a^(13) + (1531482246202)/(2549095397)*a^(12) + (1114466408964)/(2549095397)*a^(11) - (9316257183367)/(2549095397)*a^(10) + (3268400205165)/(2549095397)*a^(9) + (20279780017848)/(2549095397)*a^(8) - (15406881216076)/(2549095397)*a^(7) - (16131532739578)/(2549095397)*a^(6) + (16506698881424)/(2549095397)*a^(5) + (2904965386489)/(2549095397)*a^(4) - (4322949278508)/(2549095397)*a^(3) - (415765758045)/(2549095397)*a^(2) + (354880078272)/(2549095397)*a + (53364759957)/(2549095397) , (6102039738)/(2549095397)*a^(15) - (21970891758)/(2549095397)*a^(14) - (142372527705)/(2549095397)*a^(13) + (653492823239)/(2549095397)*a^(12) + (285170544728)/(2549095397)*a^(11) - (3939080628550)/(2549095397)*a^(10) + (2228154248463)/(2549095397)*a^(9) + (8425442491198)/(2549095397)*a^(8) - (8243154384083)/(2549095397)*a^(7) - (6382311476946)/(2549095397)*a^(6) + (8514238838137)/(2549095397)*a^(5) + (817288896577)/(2549095397)*a^(4) - (2312282561156)/(2549095397)*a^(3) - (92609536624)/(2549095397)*a^(2) + (192994767391)/(2549095397)*a + (23099824893)/(2549095397) , (6389195952)/(2549095397)*a^(15) - (21278010418)/(2549095397)*a^(14) - (153206715339)/(2549095397)*a^(13) + (639684561913)/(2549095397)*a^(12) + (427914354091)/(2549095397)*a^(11) - (3905925648498)/(2549095397)*a^(10) + (1538907108217)/(2549095397)*a^(9) + (8576164375152)/(2549095397)*a^(8) - (6887427358770)/(2549095397)*a^(7) - (6967450491423)/(2549095397)*a^(6) + (7504875917662)/(2549095397)*a^(5) + (1375687966835)/(2549095397)*a^(4) - (2159028476679)/(2549095397)*a^(3) - (187199785079)/(2549095397)*a^(2) + (194842654543)/(2549095397)*a + (24722422363)/(2549095397) , (2175855090)/(2549095397)*a^(15) - (7913344736)/(2549095397)*a^(14) - (49932251714)/(2549095397)*a^(13) + (233608089680)/(2549095397)*a^(12) + (78829931689)/(2549095397)*a^(11) - (1368517518514)/(2549095397)*a^(10) + (920794201297)/(2549095397)*a^(9) + (2726531821651)/(2549095397)*a^(8) - (3156076062761)/(2549095397)*a^(7) - (1607901331086)/(2549095397)*a^(6) + (3073085730575)/(2549095397)*a^(5) - (283181847596)/(2549095397)*a^(4) - (683738905150)/(2549095397)*a^(3) + (79615584193)/(2549095397)*a^(2) + (37471786439)/(2549095397)*a + (2012690844)/(2549095397) , (8802111240)/(2549095397)*a^(15) - (27605924457)/(2549095397)*a^(14) - (215880233535)/(2549095397)*a^(13) + (837843373290)/(2549095397)*a^(12) + (738277149267)/(2549095397)*a^(11) - (5190628040004)/(2549095397)*a^(10) + (1174662498454)/(2549095397)*a^(9) + (11747598554064)/(2549095397)*a^(8) - (7256110567197)/(2549095397)*a^(7) - (10314919535211)/(2549095397)*a^(6) + (8232393930738)/(2549095397)*a^(5) + (2810834233755)/(2549095397)*a^(4) - (2315579073597)/(2549095397)*a^(3) - (446665704063)/(2549095397)*a^(2) + (193126831167)/(2549095397)*a + (38558464157)/(2549095397) , (653178735)/(2549095397)*a^(15) - (2661931622)/(2549095397)*a^(14) - (14117184585)/(2549095397)*a^(13) + (77471107711)/(2549095397)*a^(12) - (3082414895)/(2549095397)*a^(11) - (443947281150)/(2549095397)*a^(10) + (449018046707)/(2549095397)*a^(9) + (843330009899)/(2549095397)*a^(8) - (1368569890022)/(2549095397)*a^(7) - (412493022618)/(2549095397)*a^(6) + (1350238034733)/(2549095397)*a^(5) - (185642713034)/(2549095397)*a^(4) - (366202360443)/(2549095397)*a^(3) + (50884582949)/(2549095397)*a^(2) + (30416086812)/(2549095397)*a - (153864018)/(2549095397) ], 1330090.29679, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1]]]