/* 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 - x^16 - 64*x^15 + 43*x^14 + 1478*x^13 - 932*x^12 - 16008*x^11 + 12183*x^10 + 86347*x^9 - 84507*x^8 - 213223*x^7 + 271237*x^6 + 152800*x^5 - 314540*x^4 + 100605*x^3 + 20132*x^2 - 13981*x + 1681, 17, 1, [17, 0], 15400296222263289476715621650663041, [137], [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, 1/37*a^14 + 2/37*a^12 + 4/37*a^11 - 14/37*a^10 + 13/37*a^9 + 11/37*a^8 + 10/37*a^7 + 7/37*a^6 - 5/37*a^5 + 18/37*a^4 - 17/37*a^3 - 3/37*a^2 - 16/37*a + 4/37, 1/192659*a^15 + 2389/192659*a^14 - 69632/192659*a^13 + 82408/192659*a^12 + 93458/192659*a^11 + 17664/192659*a^10 + 48606/192659*a^9 + 49007/192659*a^8 + 53978/192659*a^7 - 35822/192659*a^6 - 56623/192659*a^5 + 86016/192659*a^4 - 81908/192659*a^3 + 70406/192659*a^2 + 89356/192659*a - 53/4699, 1/458898274030885187123794199*a^16 + 572440381749563032811/458898274030885187123794199*a^15 + 2592881780188347973655989/458898274030885187123794199*a^14 + 142598118890034976961805060/458898274030885187123794199*a^13 + 201155069052146647609332577/458898274030885187123794199*a^12 + 226640544427017209931643033/458898274030885187123794199*a^11 + 53208007998762935330093268/458898274030885187123794199*a^10 + 36630608149021303226057121/458898274030885187123794199*a^9 + 4539730493443987031589180/12402656054888788841183627*a^8 - 166557196393640177095302289/458898274030885187123794199*a^7 + 75327462266327090333963102/458898274030885187123794199*a^6 + 50447121900504534961971255/458898274030885187123794199*a^5 - 69845522159501561050478729/458898274030885187123794199*a^4 - 62293975850374962848445315/458898274030885187123794199*a^3 + 145289994810479287329603563/458898274030885187123794199*a^2 - 211104461552108828961525495/458898274030885187123794199*a + 2708266844777972937222048/11192640830021589929848639], 0, 1, [], 1, [ (3877452931558892857428050)/(458898274030885187123794199)*a^(16) - (2493004305549443148058634)/(458898274030885187123794199)*a^(15) - (249046960209025563520806721)/(458898274030885187123794199)*a^(14) + (77925258409821649373773904)/(458898274030885187123794199)*a^(13) + (5758644095015915597698248527)/(458898274030885187123794199)*a^(12) - (1564642018203886482690542877)/(458898274030885187123794199)*a^(11) - (62628536701156874871073847111)/(458898274030885187123794199)*a^(10) + (610209674270661884060869538)/(11192640830021589929848639)*a^(9) + (343734859504617881000949970265)/(458898274030885187123794199)*a^(8) - (206171664075494992410217153331)/(458898274030885187123794199)*a^(7) - (900047941607603474150681280628)/(458898274030885187123794199)*a^(6) + (735069612770791441440386339431)/(458898274030885187123794199)*a^(5) + (851843629086984758849155890547)/(458898274030885187123794199)*a^(4) - (921489789454240450431784131867)/(458898274030885187123794199)*a^(3) + (68128565257524442285604476779)/(458898274030885187123794199)*a^(2) + (100687902827258192225837761184)/(458898274030885187123794199)*a - (3618700918584440976902688)/(88131030157650314408257) , (10967353994378667166849936)/(458898274030885187123794199)*a^(16) - (8261931020076952260068196)/(458898274030885187123794199)*a^(15) - (705565375788316438263129227)/(458898274030885187123794199)*a^(14) + (296010320043416518569824493)/(458898274030885187123794199)*a^(13) + (16383956732575566738864699668)/(458898274030885187123794199)*a^(12) - (6051649078767252012410447387)/(458898274030885187123794199)*a^(11) - (179242539735268029497774684725)/(458898274030885187123794199)*a^(10) + (86602064745837044459886592129)/(458898274030885187123794199)*a^(9) + (989773135483681603749114358093)/(458898274030885187123794199)*a^(8) - (659613862655354370284159291514)/(458898274030885187123794199)*a^(7) - (2605777963770216709774964989976)/(458898274030885187123794199)*a^(6) + (2256590804479852695261648262860)/(458898274030885187123794199)*a^(5) + (2480233868180118087678013379791)/(458898274030885187123794199)*a^(4) - (2768008953148206526154194067468)/(458898274030885187123794199)*a^(3) + (186589775641261643388796605634)/(458898274030885187123794199)*a^(2) + (301774762090618197572869766018)/(458898274030885187123794199)*a - (1296811743988593211990528183)/(11192640830021589929848639) , (14617999380148167120591281)/(458898274030885187123794199)*a^(16) - (8509625743604600639958752)/(458898274030885187123794199)*a^(15) - (22897356904503566436033595)/(11192640830021589929848639)*a^(14) + (236275836306282256992041463)/(458898274030885187123794199)*a^(13) + (21683752499138208506187513012)/(458898274030885187123794199)*a^(12) - (4569341567840325052919246532)/(458898274030885187123794199)*a^(11) - (235444730688723704922080966653)/(458898274030885187123794199)*a^(10) + (79875204078790741890536920282)/(458898274030885187123794199)*a^(9) + (31476170693331645909144184642)/(11192640830021589929848639)*a^(8) - (697299829308281914921265912888)/(458898274030885187123794199)*a^(7) - (3380460846388344295244867928857)/(458898274030885187123794199)*a^(6) + (20110698743238606188138966966)/(3613372236463662890738537)*a^(5) + (78700874475554214656040857661)/(11192640830021589929848639)*a^(4) - (3240617300192124925907820396828)/(458898274030885187123794199)*a^(3) + (193698780134619370903175876008)/(458898274030885187123794199)*a^(2) + (355808930033783973990819609747)/(458898274030885187123794199)*a - (1543189144456491851402884607)/(11192640830021589929848639) , (10624454629750915942470323)/(458898274030885187123794199)*a^(16) - (183700674192792998935113)/(12402656054888788841183627)*a^(15) - (682474548176249722656623992)/(458898274030885187123794199)*a^(14) + (210882254578613707325860943)/(458898274030885187123794199)*a^(13) + (15782807594475278734453638248)/(458898274030885187123794199)*a^(12) - (4208697891285080641853135248)/(458898274030885187123794199)*a^(11) - (171678348064984954271265705716)/(458898274030885187123794199)*a^(10) + (67433650038061641901884574843)/(458898274030885187123794199)*a^(9) + (942549689043524844810358671741)/(458898274030885187123794199)*a^(8) - (557008025014687084700318384063)/(458898274030885187123794199)*a^(7) - (2470431229228525392228535378350)/(458898274030885187123794199)*a^(6) + (1987689035829597903963253945794)/(458898274030885187123794199)*a^(5) + (2350073968058717921513668934776)/(458898274030885187123794199)*a^(4) - (2492135232173080017490761308318)/(458898274030885187123794199)*a^(3) + (162137580811926734506268920035)/(458898274030885187123794199)*a^(2) + (275227335475711236301611641459)/(458898274030885187123794199)*a - (1210917394571598034544000321)/(11192640830021589929848639) , (393351559003874646072383)/(12402656054888788841183627)*a^(16) - (10159263105538882504813930)/(458898274030885187123794199)*a^(15) - (933208007265895435183351725)/(458898274030885187123794199)*a^(14) + (345131564991744381746902367)/(458898274030885187123794199)*a^(13) + (21532293771323256683564254454)/(458898274030885187123794199)*a^(12) - (7158123701481278306537445662)/(458898274030885187123794199)*a^(11) - (233339286173744514761956176029)/(458898274030885187123794199)*a^(10) + (108967088011561520636032657788)/(458898274030885187123794199)*a^(9) + (34370224315568478991121672146)/(12402656054888788841183627)*a^(8) - (863450031167923001412878017290)/(458898274030885187123794199)*a^(7) - (3275545832939497048369809352364)/(458898274030885187123794199)*a^(6) + (3015518308324310036719677943166)/(458898274030885187123794199)*a^(5) + (2924738656043828918210999750653)/(458898274030885187123794199)*a^(4) - (3742021859371440994116479246886)/(458898274030885187123794199)*a^(3) + (526516595602373990609690421133)/(458898274030885187123794199)*a^(2) + (407930012804835787264924163983)/(458898274030885187123794199)*a - (2447255381087998239097160744)/(11192640830021589929848639) , (2015942585429047315142696)/(458898274030885187123794199)*a^(16) - (1283450196537368959098357)/(458898274030885187123794199)*a^(15) - (129434793796284932595307584)/(458898274030885187123794199)*a^(14) + (39669449746438105293364131)/(458898274030885187123794199)*a^(13) + (2990810118551198079223092295)/(458898274030885187123794199)*a^(12) - (794346652164598608997031865)/(458898274030885187123794199)*a^(11) - (32492974841925153458978777785)/(458898274030885187123794199)*a^(10) + (12808077919572684733053693537)/(458898274030885187123794199)*a^(9) + (178083739106553796074635898210)/(458898274030885187123794199)*a^(8) - (106103544612737294239293862446)/(458898274030885187123794199)*a^(7) - (465345581034465012511503233449)/(458898274030885187123794199)*a^(6) + (378962823642077406122760023101)/(458898274030885187123794199)*a^(5) + (438857007174105830165219144756)/(458898274030885187123794199)*a^(4) - (474711451343461482713900853041)/(458898274030885187123794199)*a^(3) + (36041302360880396592986609538)/(458898274030885187123794199)*a^(2) + (1389117009220859485401091980)/(12402656054888788841183627)*a - (233902776664610111740409354)/(11192640830021589929848639) , (960110127637392464314959)/(458898274030885187123794199)*a^(16) - (333995426521375629762525)/(458898274030885187123794199)*a^(15) - (61839358302846285966193077)/(458898274030885187123794199)*a^(14) + (912279220681858872895893)/(458898274030885187123794199)*a^(13) + (1430839702181748008010112083)/(458898274030885187123794199)*a^(12) + (44312726777640873661091526)/(458898274030885187123794199)*a^(11) - (15595551403675856368855009452)/(458898274030885187123794199)*a^(10) + (1397968521749215380781788345)/(458898274030885187123794199)*a^(9) + (86529092360194302900721723971)/(458898274030885187123794199)*a^(8) - (23974720055780408346281760015)/(458898274030885187123794199)*a^(7) - (235066684240349341909459246263)/(458898274030885187123794199)*a^(6) + (107928808919306512634676447495)/(458898274030885187123794199)*a^(5) + (256079370578653899135692959827)/(458898274030885187123794199)*a^(4) - (149551346925166550383437973609)/(458898274030885187123794199)*a^(3) - (41453720389659731485993765167)/(458898274030885187123794199)*a^(2) + (475307945044459584520843754)/(12402656054888788841183627)*a + (50301328415181991071938079)/(11192640830021589929848639) , (18668437215835362457521323)/(458898274030885187123794199)*a^(16) - (323796193107249585295902)/(12402656054888788841183627)*a^(15) - (1199126855911048234894973577)/(458898274030885187123794199)*a^(14) + (373044286339370329408221246)/(458898274030885187123794199)*a^(13) + (27728777279845995780632025847)/(458898274030885187123794199)*a^(12) - (7457318723874628310377930019)/(458898274030885187123794199)*a^(11) - (301574263608499545325714550121)/(458898274030885187123794199)*a^(10) + (119240171016549771144364091657)/(458898274030885187123794199)*a^(9) + (1655103003823945319048415755983)/(458898274030885187123794199)*a^(8) - (983409865403617747053220287857)/(458898274030885187123794199)*a^(7) - (4334067498374352508942836971953)/(458898274030885187123794199)*a^(6) + (3506354542258716253975421703684)/(458898274030885187123794199)*a^(5) + (4109767848573918331886497934192)/(458898274030885187123794199)*a^(4) - (4391952216202272913910310514206)/(458898274030885187123794199)*a^(3) + (303943213668763472933807192604)/(458898274030885187123794199)*a^(2) + (479695842621130977447703743212)/(458898274030885187123794199)*a - (2110999255669736519375127373)/(11192640830021589929848639) , (2437485429093698695799683)/(458898274030885187123794199)*a^(16) - (1992838240574174847616273)/(458898274030885187123794199)*a^(15) - (156264471544737355691687346)/(458898274030885187123794199)*a^(14) + (76282123204400072558659546)/(458898274030885187123794199)*a^(13) + (3610353943619373936401499320)/(458898274030885187123794199)*a^(12) - (1613903030416522694566644204)/(458898274030885187123794199)*a^(11) - (955532544377840978985158952)/(11192640830021589929848639)*a^(10) + (22576864578316655127581974031)/(458898274030885187123794199)*a^(9) + (213187353482305723770106644522)/(458898274030885187123794199)*a^(8) - (167245631385063155277926532440)/(458898274030885187123794199)*a^(7) - (543124015745305196081248211439)/(458898274030885187123794199)*a^(6) + (561619839658531735106014310179)/(458898274030885187123794199)*a^(5) + (457953183091813738627015509802)/(458898274030885187123794199)*a^(4) - (678975188223478664067914748852)/(458898274030885187123794199)*a^(3) + (135441467721546571802239141201)/(458898274030885187123794199)*a^(2) + (67684698201309957448361057396)/(458898274030885187123794199)*a - (482224196526247264248676373)/(11192640830021589929848639) , (10721572442559650771116647)/(458898274030885187123794199)*a^(16) - (6885583473455414166857758)/(458898274030885187123794199)*a^(15) - (688622787705011951367247940)/(458898274030885187123794199)*a^(14) + (214594542452933276115618870)/(458898274030885187123794199)*a^(13) + (15922236224429087566283769288)/(458898274030885187123794199)*a^(12) - (4293443609609139156006279275)/(458898274030885187123794199)*a^(11) - (173153687958935091551919321035)/(458898274030885187123794199)*a^(10) + (68632973913618590664707395844)/(458898274030885187123794199)*a^(9) + (950323784803051929716317868700)/(458898274030885187123794199)*a^(8) - (565801504928395889787545850893)/(458898274030885187123794199)*a^(7) - (2489264072024077579531144128232)/(458898274030885187123794199)*a^(6) + (2017064859416751808427049916360)/(458898274030885187123794199)*a^(5) + (2363693899944214240602670990096)/(458898274030885187123794199)*a^(4) - (2527795385402243318053693164840)/(458898274030885187123794199)*a^(3) + (169134563568512023021100585361)/(458898274030885187123794199)*a^(2) + (279204139097871601410978632422)/(458898274030885187123794199)*a - (1218499501785315522096489323)/(11192640830021589929848639) , (8420559019350423891221108)/(458898274030885187123794199)*a^(16) - (5396838583556444633613306)/(458898274030885187123794199)*a^(15) - (540811952784033592877852800)/(458898274030885187123794199)*a^(14) + (167946028029618672045993786)/(458898274030885187123794199)*a^(13) + (12503511713106511063952931575)/(458898274030885187123794199)*a^(12) - (3362866041219924365743398941)/(458898274030885187123794199)*a^(11) - (135961259656451885997437704111)/(458898274030885187123794199)*a^(10) + (53867610141760118757676765802)/(458898274030885187123794199)*a^(9) + (746146477685886306292475768976)/(458898274030885187123794199)*a^(8) - (444518486371054745654421602686)/(458898274030885187123794199)*a^(7) - (1954464853883768019416320884041)/(458898274030885187123794199)*a^(6) + (1585260333891871331567995644853)/(458898274030885187123794199)*a^(5) + (1856151834237701531072568006313)/(458898274030885187123794199)*a^(4) - (1986583277482410345821898789213)/(458898274030885187123794199)*a^(3) + (133185544799949091710946779896)/(458898274030885187123794199)*a^(2) + (219124784230035541461459245331)/(458898274030885187123794199)*a - (963907200996752408658870343)/(11192640830021589929848639) , (2932114227536144379035845)/(458898274030885187123794199)*a^(16) - (1892881373476956480983727)/(458898274030885187123794199)*a^(15) - (188322121274139302053436127)/(458898274030885187123794199)*a^(14) + (59340487975338966729469877)/(458898274030885187123794199)*a^(13) + (4354631383774665916350106172)/(458898274030885187123794199)*a^(12) - (1189553228050569952942313603)/(458898274030885187123794199)*a^(11) - (47363848153492124121893669835)/(458898274030885187123794199)*a^(10) + (18926841093774719372397589662)/(458898274030885187123794199)*a^(9) + (2047299390774215623736341746)/(3613372236463662890738537)*a^(8) - (155400757790748335402157381031)/(458898274030885187123794199)*a^(7) - (681063749089347197931904771675)/(458898274030885187123794199)*a^(6) + (552555606455279935560116707287)/(458898274030885187123794199)*a^(5) + (645806992177206548985635196264)/(458898274030885187123794199)*a^(4) - (691143841899483305836822437397)/(458898274030885187123794199)*a^(3) + (48546929685240095384562878496)/(458898274030885187123794199)*a^(2) + (75878073265374926699781157746)/(458898274030885187123794199)*a - (341619266566324466282819859)/(11192640830021589929848639) , (34610285329743879002769)/(12402656054888788841183627)*a^(16) - (317478329242749479272029)/(458898274030885187123794199)*a^(15) - (82061612588569199724416307)/(458898274030885187123794199)*a^(14) - (6311637913733813341357347)/(458898274030885187123794199)*a^(13) + (1879663600367967706720956272)/(458898274030885187123794199)*a^(12) + (196460269944984982740439268)/(458898274030885187123794199)*a^(11) - (20182785657467045443333131929)/(458898274030885187123794199)*a^(10) + (928137389564035754604555371)/(458898274030885187123794199)*a^(9) + (109784607696457420872726139473)/(458898274030885187123794199)*a^(8) - 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