/* 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 - x^15 + 12*x^14 - 28*x^13 + 95*x^12 - 280*x^11 + 677*x^10 - 1543*x^9 + 2994*x^8 - 4629*x^7 + 6754*x^6 - 7815*x^5 + 7991*x^4 - 7966*x^3 + 6147*x^2 - 3337*x + 3089, 16, 1651, [0, 8], 1761575905283218445703125, [5, 1652141], [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, a^14, 1/48021440583400432545198403*a^15 + 23638597360260557799244143/48021440583400432545198403*a^14 + 19776804600395660011416093/48021440583400432545198403*a^13 + 11301747611576589476610915/48021440583400432545198403*a^12 + 17132140388450945270075325/48021440583400432545198403*a^11 - 18913284029464160719922139/48021440583400432545198403*a^10 - 22953881672596307164086018/48021440583400432545198403*a^9 - 3390043449723166937524860/6860205797628633220742629*a^8 - 16696713453286486243044164/48021440583400432545198403*a^7 - 7363402069683741035414559/48021440583400432545198403*a^6 + 16048804953319977146399136/48021440583400432545198403*a^5 - 13608094389486847244098175/48021440583400432545198403*a^4 - 2973270934325974068007794/48021440583400432545198403*a^3 - 16048048811887262015380665/48021440583400432545198403*a^2 + 14034788719740113963823433/48021440583400432545198403*a - 20089955873511887431213715/48021440583400432545198403], 1, 30, [30], 1, [ (10781172812299)/(27081753173590003)*a^(15) + (3530374335217)/(27081753173590003)*a^(14) + (98501875097070)/(27081753173590003)*a^(13) - (135179676600936)/(27081753173590003)*a^(12) + (403334414087085)/(27081753173590003)*a^(11) - (1511329259174104)/(27081753173590003)*a^(10) + (1829675365686526)/(27081753173590003)*a^(9) - (624426774503078)/(3868821881941429)*a^(8) + (2630637549889116)/(27081753173590003)*a^(7) + (7854463893119010)/(27081753173590003)*a^(6) - (17988603765328032)/(27081753173590003)*a^(5) + (43338302609862098)/(27081753173590003)*a^(4) - (58017119255006106)/(27081753173590003)*a^(3) + (30548759718601820)/(27081753173590003)*a^(2) - (48447477832993740)/(27081753173590003)*a + (14994929774613394)/(27081753173590003) , (7462381830569311990065)/(6860205797628633220742629)*a^(15) + (407400637829110403424)/(6860205797628633220742629)*a^(14) + (64605045882295325453120)/(6860205797628633220742629)*a^(13) - (103112976593105109765598)/(6860205797628633220742629)*a^(12) + (327938893141886330354069)/(6860205797628633220742629)*a^(11) - (950346285371556619933617)/(6860205797628633220742629)*a^(10) + (1770972891096264943694279)/(6860205797628633220742629)*a^(9) - (393340533747156016250817)/(980029399661233317248947)*a^(8) + (2820407908194719075988746)/(6860205797628633220742629)*a^(7) + (3911053762979754586935088)/(6860205797628633220742629)*a^(6) - (11235206207874769410233234)/(6860205797628633220742629)*a^(5) + (21618868373668932315475826)/(6860205797628633220742629)*a^(4) - (30157404559296949891786983)/(6860205797628633220742629)*a^(3) + (25284529467330147876882079)/(6860205797628633220742629)*a^(2) - (18803233513574845367618121)/(6860205797628633220742629)*a + (33336970598027050330851591)/(6860205797628633220742629) , (1273022921713988980326)/(6860205797628633220742629)*a^(15) - (4028300148233999754863)/(6860205797628633220742629)*a^(14) + (14037033361734630420275)/(6860205797628633220742629)*a^(13) - (77704731558273343571644)/(6860205797628633220742629)*a^(12) + (132542894678222489182601)/(6860205797628633220742629)*a^(11) - (686330722078284644348693)/(6860205797628633220742629)*a^(10) + (1213177642689608554692028)/(6860205797628633220742629)*a^(9) - (537151013041500476926139)/(980029399661233317248947)*a^(8) + (6588874321517339101377286)/(6860205797628633220742629)*a^(7) - (12022881026442213722910543)/(6860205797628633220742629)*a^(6) + (17868018919785951125599260)/(6860205797628633220742629)*a^(5) - (21578037262749995651262465)/(6860205797628633220742629)*a^(4) + (21784171730906177249214209)/(6860205797628633220742629)*a^(3) - (24337891374386548947114683)/(6860205797628633220742629)*a^(2) + (8623196753860778074228211)/(6860205797628633220742629)*a - (22401508763361665511923282)/(6860205797628633220742629) , (10270343999509189854362)/(48021440583400432545198403)*a^(15) + (14601177960436950986003)/(48021440583400432545198403)*a^(14) + (130542868620559687593647)/(48021440583400432545198403)*a^(13) - (76325652881519335293592)/(48021440583400432545198403)*a^(12) + (502839730584606074796670)/(48021440583400432545198403)*a^(11) - (1983405203412571090633552)/(48021440583400432545198403)*a^(10) + (2479626254697385540041259)/(48021440583400432545198403)*a^(9) - (1260809954675987497652989)/(6860205797628633220742629)*a^(8) + (15137076417098840548272014)/(48021440583400432545198403)*a^(7) - (19202943291917122927820392)/(48021440583400432545198403)*a^(6) + (39329031138397288250664671)/(48021440583400432545198403)*a^(5) - (32755263717179286399961403)/(48021440583400432545198403)*a^(4) + (26515070734661322996116234)/(48021440583400432545198403)*a^(3) - (61840434195966992865165744)/(48021440583400432545198403)*a^(2) - (7852634364977768768903931)/(48021440583400432545198403)*a - (26281917184332129238741722)/(48021440583400432545198403) , (10270343999509189854362)/(48021440583400432545198403)*a^(15) + (14601177960436950986003)/(48021440583400432545198403)*a^(14) + (130542868620559687593647)/(48021440583400432545198403)*a^(13) - (76325652881519335293592)/(48021440583400432545198403)*a^(12) + (502839730584606074796670)/(48021440583400432545198403)*a^(11) - (1983405203412571090633552)/(48021440583400432545198403)*a^(10) + (2479626254697385540041259)/(48021440583400432545198403)*a^(9) - (1260809954675987497652989)/(6860205797628633220742629)*a^(8) + (15137076417098840548272014)/(48021440583400432545198403)*a^(7) - (19202943291917122927820392)/(48021440583400432545198403)*a^(6) + (39329031138397288250664671)/(48021440583400432545198403)*a^(5) - (32755263717179286399961403)/(48021440583400432545198403)*a^(4) + (26515070734661322996116234)/(48021440583400432545198403)*a^(3) - (61840434195966992865165744)/(48021440583400432545198403)*a^(2) - (7852634364977768768903931)/(48021440583400432545198403)*a + (21739523399068303306456681)/(48021440583400432545198403) , (6198544426380105676474)/(6860205797628633220742629)*a^(15) + (1598987537922203781022)/(6860205797628633220742629)*a^(14) + (58302055567250042124631)/(6860205797628633220742629)*a^(13) - (79773643978028747033006)/(6860205797628633220742629)*a^(12) + (297602609968413915335724)/(6860205797628633220742629)*a^(11) - (850847989344670181529081)/(6860205797628633220742629)*a^(10) + (1661721572716456136391698)/(6860205797628633220742629)*a^(9) - (415279769333975188383890)/(980029399661233317248947)*a^(8) + (4316468271797530907082760)/(6860205797628633220742629)*a^(7) - (821874903812976282517398)/(6860205797628633220742629)*a^(6) - (1059995676281040656392905)/(6860205797628633220742629)*a^(5) + (5961316474301451058718983)/(6860205797628633220742629)*a^(4) - (11672948973069923687869963)/(6860205797628633220742629)*a^(3) + (8711732253606189035044427)/(6860205797628633220742629)*a^(2) - (7652580795021682336966434)/(6860205797628633220742629)*a + (32644180872587840955643032)/(6860205797628633220742629) , (62507016813494373784817)/(48021440583400432545198403)*a^(15) + (17452982425240723809971)/(48021440583400432545198403)*a^(14) + (582778189796626965765487)/(48021440583400432545198403)*a^(13) - (798116489033255103652778)/(48021440583400432545198403)*a^(12) + (2798411982577810387275153)/(48021440583400432545198403)*a^(11) - (8635829201013467430168871)/(48021440583400432545198403)*a^(10) + (14876436492371240145901212)/(48021440583400432545198403)*a^(9) - (4014193690906079611408708)/(6860205797628633220742629)*a^(8) + (34879931774461874080193236)/(48021440583400432545198403)*a^(7) + (8174433048941159180725224)/(48021440583400432545198403)*a^(6) - (39317412316726097620967967)/(48021440583400432545198403)*a^(5) + (118576814898503239808369379)/(48021440583400432545198403)*a^(4) - (184586761180417326246392647)/(48021440583400432545198403)*a^(3) + (115151272075344042273008809)/(48021440583400432545198403)*a^(2) - (139475268960001686342230778)/(48021440583400432545198403)*a + (255098317585257655622417818)/(48021440583400432545198403) ], 6960.86418224, [[x^2 - x - 1, 1], [x^8 - 9*x^6 - 2*x^5 + 23*x^4 + 9*x^3 - 17*x^2 - 9*x - 1, 1]]]