/* 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^29 - 8*x^28 + 42*x^27 - 91*x^26 + 71*x^25 - 172*x^24 + 980*x^23 - 2477*x^22 + 4032*x^21 - 5998*x^20 + 8995*x^19 - 12396*x^18 + 15464*x^17 - 17477*x^16 + 17661*x^15 - 16777*x^14 + 14899*x^13 - 10749*x^12 + 6197*x^11 - 2594*x^10 - 1233*x^9 + 2318*x^8 - 113*x^7 - 855*x^6 + 1459*x^5 - 2625*x^4 + 2079*x^3 - 978*x^2 + 419*x + 1, 29, 2, [1, 14], 190430537333205962921320156798047381287357677729, [2383], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 - 1/3, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/3*a^11 - 1/3*a^3, 1/3*a^12 - 1/3*a^4, 1/3*a^13 - 1/3*a^5, 1/3*a^14 - 1/3*a^6, 1/9*a^15 + 1/9*a^14 + 1/9*a^13 + 1/9*a^12 + 1/9*a^11 + 1/9*a^10 + 1/9*a^9 + 1/9*a^8 - 4/9*a^7 - 4/9*a^6 - 4/9*a^5 - 4/9*a^4 - 4/9*a^3 - 4/9*a^2 - 4/9*a - 4/9, 1/9*a^16 + 1/9*a^8 - 2/9, 1/9*a^17 + 1/9*a^9 - 2/9*a, 1/9*a^18 + 1/9*a^10 - 2/9*a^2, 1/9*a^19 + 1/9*a^11 - 2/9*a^3, 1/45*a^20 - 1/45*a^19 + 2/45*a^18 + 2/45*a^17 - 1/45*a^16 - 1/45*a^15 - 7/45*a^14 - 1/45*a^13 - 1/9*a^11 + 7/45*a^10 + 4/45*a^9 - 2/45*a^8 - 14/45*a^7 + 2/9*a^6 + 22/45*a^5 + 4/9*a^4 - 1/5*a^3 - 2/15*a^2 + 1/3*a - 7/15, 1/45*a^21 + 1/45*a^19 - 1/45*a^18 + 1/45*a^17 - 2/45*a^16 + 2/45*a^15 + 2/45*a^14 - 2/15*a^13 + 1/9*a^12 - 1/15*a^11 + 1/45*a^10 - 1/15*a^9 - 2/15*a^8 + 1/45*a^7 - 8/45*a^6 + 17/45*a^5 + 16/45*a^4 + 1/9*a^3 - 2/15*a^2 + 14/45*a - 16/45, 1/135*a^22 - 1/135*a^21 + 4/135*a^19 + 1/27*a^18 - 1/27*a^16 - 4/135*a^15 + 1/15*a^14 - 8/135*a^13 - 13/135*a^12 - 2/45*a^11 - 11/135*a^10 - 22/135*a^9 - 2/45*a^8 - 13/27*a^7 - 5/27*a^6 - 11/45*a^5 - 56/135*a^4 - 67/135*a^3 - 1/15*a^2 - 4/27*a - 58/135, 1/135*a^23 - 1/135*a^21 + 1/135*a^20 - 1/45*a^19 - 1/135*a^18 + 4/135*a^17 - 2/45*a^16 - 7/135*a^15 + 7/135*a^14 + 4/45*a^13 + 11/135*a^12 + 13/135*a^11 + 7/45*a^10 + 1/27*a^9 + 2/27*a^8 + 4/45*a^7 - 28/135*a^6 - 1/27*a^5 - 11/45*a^4 - 4/135*a^3 - 41/135*a^2 - 1/45*a - 5/27, 1/135*a^24 + 1/9*a^8 - 16/135, 1/2295*a^25 + 2/2295*a^24 - 7/2295*a^23 + 2/2295*a^22 + 8/2295*a^21 + 2/2295*a^20 - 22/2295*a^19 - 43/2295*a^18 - 52/2295*a^17 + 122/2295*a^16 + 53/2295*a^15 - 298/2295*a^14 - 67/2295*a^13 - 28/2295*a^12 - 7/2295*a^11 - 73/2295*a^10 - 112/2295*a^9 - 103/2295*a^8 - 1072/2295*a^7 - 28/2295*a^6 + 653/2295*a^5 + 512/2295*a^4 - 322/2295*a^3 - 478/2295*a^2 - 458/2295*a - 5/153, 1/20655*a^26 - 1/6885*a^25 - 2/1215*a^24 + 4/4131*a^23 - 2/20655*a^22 + 1/255*a^21 + 2/20655*a^20 - 341/20655*a^19 + 7/153*a^18 + 518/20655*a^17 + 164/4131*a^16 - 182/6885*a^15 - 2164/20655*a^14 - 622/4131*a^13 + 1087/6885*a^12 - 470/4131*a^11 - 286/4131*a^10 + 205/1377*a^9 + 2639/20655*a^8 + 10126/20655*a^7 + 916/6885*a^6 + 8093/20655*a^5 + 5176/20655*a^4 + 587/6885*a^3 + 3496/20655*a^2 - 2171/20655*a + 7039/20655, 1/119117385*a^27 - 2564/119117385*a^26 - 22546/119117385*a^25 + 163486/119117385*a^24 + 53738/39705795*a^23 + 400906/119117385*a^22 + 1144649/119117385*a^21 - 100477/13235265*a^20 + 62698/119117385*a^19 + 3106148/119117385*a^18 + 1372672/39705795*a^17 + 1246973/23823477*a^16 + 444833/119117385*a^15 - 2936167/39705795*a^14 - 4276/7006905*a^13 - 3153319/119117385*a^12 - 1041382/39705795*a^11 - 15334577/119117385*a^10 + 1573253/119117385*a^9 - 9031/60435*a^8 - 4949653/23823477*a^7 - 59524924/119117385*a^6 + 6300764/13235265*a^5 + 16270786/119117385*a^4 + 2873897/7006905*a^3 - 16947886/119117385*a^2 + 2148520/23823477*a + 58725184/119117385, 1/249485287787876730958538085*a^28 - 12669999357061084/27720587531986303439837565*a^27 + 1955010382106624234269/83161762595958910319512695*a^26 + 10133047450293764679955/49897057557575346191707617*a^25 + 226304621386182419966537/83161762595958910319512695*a^24 + 920606886874985467171901/249485287787876730958538085*a^23 - 17319393523191119475470/5544117506397260687967513*a^22 - 120368892651015679005854/249485287787876730958538085*a^21 + 1453400523682921380313481/249485287787876730958538085*a^20 - 3730207808083354140846967/83161762595958910319512695*a^19 + 26129358191281929732398/1393772557474171681332615*a^18 + 2796364479861213752296766/249485287787876730958538085*a^17 - 515616947887515660035258/16632352519191782063902539*a^16 + 10815053086580310778040617/249485287787876730958538085*a^15 - 38054509308166383014981119/249485287787876730958538085*a^14 - 5019358150436410071781/110148029928422397774189*a^13 - 20308792111813689394580144/249485287787876730958538085*a^12 + 21814107273652042405982/1182394728852496355253735*a^11 + 13497808965053574825476011/83161762595958910319512695*a^10 + 19875513589401603476471989/249485287787876730958538085*a^9 - 3976663776765842695889512/249485287787876730958538085*a^8 + 38842611928869969847844728/83161762595958910319512695*a^7 + 2440890337599319550160673/6742845615888560296176705*a^6 - 114138405353724200534068576/249485287787876730958538085*a^5 - 90564790424432587186039492/249485287787876730958538085*a^4 - 193192605214265157060094/14675605163992748879914005*a^3 + 17674841176971540557318908/49897057557575346191707617*a^2 - 21115999905643669366708135/49897057557575346191707617*a + 16645904323499286496410652/249485287787876730958538085], 0, 1, [], 1, [ (330061553141020202556344)/(249485287787876730958538085)*a^(28) - (897248015897956922139331)/(83161762595958910319512695)*a^(27) + (534729308249830695416396)/(9240195843995434479945855)*a^(26) - (33044845447488049607900093)/(249485287787876730958538085)*a^(25) + (10609947890552856028462261)/(83161762595958910319512695)*a^(24) - (59666499168169731346113962)/(249485287787876730958538085)*a^(23) + (106722048629093545166968333)/(83161762595958910319512695)*a^(22) - (894506442151638026926390384)/(249485287787876730958538085)*a^(21) + (1543412138968971218954822467)/(249485287787876730958538085)*a^(20) - (740567477686972004612376898)/(83161762595958910319512695)*a^(19) + (229661298975670959072217)/(17642690600938882042185)*a^(18) - (4536362342139547291503194792)/(249485287787876730958538085)*a^(17) + (1886878653547624823686641059)/(83161762595958910319512695)*a^(16) - (1279520289129299591254489439)/(49897057557575346191707617)*a^(15) + (1275067436031566191638640823)/(49897057557575346191707617)*a^(14) - (4273560303871438399722937)/(183580049880703996290315)*a^(13) + (5120790142846778321634250556)/(249485287787876730958538085)*a^(12) - (17102225668869901693855334)/(1182394728852496355253735)*a^(11) + (37983637545957394417083016)/(5544117506397260687967513)*a^(10) - (317005217826678547962120556)/(249485287787876730958538085)*a^(9) - (201634021347669048552847702)/(49897057557575346191707617)*a^(8) + (164556316414004084956232362)/(27720587531986303439837565)*a^(7) - (13951546164877561606880329)/(6742845615888560296176705)*a^(6) - (215614342018097014508416388)/(249485287787876730958538085)*a^(5) + (412538775374984723181871591)/(249485287787876730958538085)*a^(4) - (875378429666488741231295008)/(249485287787876730958538085)*a^(3) + (662070915418889151952179082)/(249485287787876730958538085)*a^(2) - (286496222579812831291051444)/(249485287787876730958538085)*a + (140929802756111790262418063)/(249485287787876730958538085) , (503755225420284948638974)/(249485287787876730958538085)*a^(28) - (1180668469162488332481331)/(83161762595958910319512695)*a^(27) + (1237271722563250454431655)/(16632352519191782063902539)*a^(26) - (33719657161293047537509504)/(249485287787876730958538085)*a^(25) + (50306109780385108881878)/(379734075780634293696405)*a^(24) - (106219948809242549883958381)/(249485287787876730958538085)*a^(23) + (9417491378316195704551442)/(5544117506397260687967513)*a^(22) - (989974335439285296539427878)/(249485287787876730958538085)*a^(21) + (1740711252535189400975362496)/(249485287787876730958538085)*a^(20) - (932267804883290056367695561)/(83161762595958910319512695)*a^(19) + (23956979788134459694206311)/(1393772557474171681332615)*a^(18) - (5906886987579568538454924574)/(249485287787876730958538085)*a^(17) + (2438512140281834262185254289)/(83161762595958910319512695)*a^(16) - (8451390327413077631882340188)/(249485287787876730958538085)*a^(15) + (113626136257000036820256134)/(3158041617568059885551115)*a^(14) - (3827497673087390210834326)/(110148029928422397774189)*a^(13) + (7627883026048366395909065119)/(249485287787876730958538085)*a^(12) - (27630972173832142968699556)/(1182394728852496355253735)*a^(11) + (1168443369479852693483389348)/(83161762595958910319512695)*a^(10) - (248972886866778792702715483)/(49897057557575346191707617)*a^(9) - (103336786809161990426802299)/(49897057557575346191707617)*a^(8) + (439771457216846566160091922)/(83161762595958910319512695)*a^(7) - (1959253754694437929522684)/(1348569123177712059235341)*a^(6) - (482436715711176064188158629)/(249485287787876730958538085)*a^(5) + (5863269141307567335559676)/(2935121032798549775982801)*a^(4) - (1346838535126408623630668606)/(249485287787876730958538085)*a^(3) + (1503693589125001226966995763)/(249485287787876730958538085)*a^(2) - (338916008462199150918632849)/(249485287787876730958538085)*a + (196449556494361862405735266)/(249485287787876730958538085) , (10198820640164148991893956)/(249485287787876730958538085)*a^(28) - (23414140304605257044932877)/(83161762595958910319512695)*a^(27) + (116781182451834843064466576)/(83161762595958910319512695)*a^(26) - (540743904280873924284154613)/(249485287787876730958538085)*a^(25) + (15112461487560758971810612)/(27720587531986303439837565)*a^(24) - (1651181125042721385638483426)/(249485287787876730958538085)*a^(23) + (303391756379969389460292022)/(9240195843995434479945855)*a^(22) - (16147581868996433673662162407)/(249485287787876730958538085)*a^(21) + (23508614459299987262982620008)/(249485287787876730958538085)*a^(20) - (12052582753019729732565515273)/(83161762595958910319512695)*a^(19) + (297079006989484462337072482)/(1393772557474171681332615)*a^(18) - (13891499955205106478909244480)/(49897057557575346191707617)*a^(17) + (5592858456455166761611839137)/(16632352519191782063902539)*a^(16) - (89841934333349299198178934436)/(249485287787876730958538085)*a^(15) + (86233982932694111553283302148)/(249485287787876730958538085)*a^(14) - (180491373506784693179510743)/(550740149642111988870945)*a^(13) + (67210385424894486082582922432)/(249485287787876730958538085)*a^(12) - (38619241011219929096208889)/(236478945770499271050747)*a^(11) + (7880857017615949913524103318)/(83161762595958910319512695)*a^(10) - (775411562859764847053056157)/(49897057557575346191707617)*a^(9) - (15468547601159486057355054563)/(249485287787876730958538085)*a^(8) + (1848648824380857809871302651)/(83161762595958910319512695)*a^(7) + (24092803860234617377724809)/(1348569123177712059235341)*a^(6) - (3010118791661364527023982927)/(249485287787876730958538085)*a^(5) + (12288172860424706966940113179)/(249485287787876730958538085)*a^(4) - (13668339461848889616889112914)/(249485287787876730958538085)*a^(3) + (6306332486989266146636141002)/(249485287787876730958538085)*a^(2) - (822425314490106369990582368)/(49897057557575346191707617)*a + (29788361183227643194812859)/(49897057557575346191707617) , (1105133883577038581439106)/(249485287787876730958538085)*a^(28) - (18735598914547472485966)/(543540931999731439996815)*a^(27) + (14768710282640793651727136)/(83161762595958910319512695)*a^(26) - (89079447554462774106603553)/(249485287787876730958538085)*a^(25) + (16624133666829848316174082)/(83161762595958910319512695)*a^(24) - (161163200561965864349631532)/(249485287787876730958538085)*a^(23) + (347071275093020471714881054)/(83161762595958910319512695)*a^(22) - (2473681774376887789250054306)/(249485287787876730958538085)*a^(21) + (736219431479731923534905176)/(49897057557575346191707617)*a^(20) - (65710256387792024303873624)/(3080065281331811493315285)*a^(19) + (45178955942968065344100428)/(1393772557474171681332615)*a^(18) - (2169598573397806035926463281)/(49897057557575346191707617)*a^(17) + (477790310836652664125004731)/(9240195843995434479945855)*a^(16) - (13958723964479407607393525093)/(249485287787876730958538085)*a^(15) + (13436223468473450235475620818)/(249485287787876730958538085)*a^(14) - (1606562314425477868826696)/(32396479390712469933585)*a^(13) + (10614763078761403868113714222)/(249485287787876730958538085)*a^(12) - (358272606329029817685691)/(13910526221794074767691)*a^(11) + (837408995945474903496523358)/(83161762595958910319512695)*a^(10) - (387088831588436477819814308)/(249485287787876730958538085)*a^(9) - (446508316053910875618780704)/(49897057557575346191707617)*a^(8) + (638171377798033846947103529)/(83161762595958910319512695)*a^(7) + (39003110027815436124659947)/(6742845615888560296176705)*a^(6) - (1639191459873471421262405959)/(249485287787876730958538085)*a^(5) + (1505532119479361447149653947)/(249485287787876730958538085)*a^(4) - (544551366728962092016782175)/(49897057557575346191707617)*a^(3) + (362517636625791850338289537)/(49897057557575346191707617)*a^(2) - (102241606235948381353433356)/(49897057557575346191707617)*a + (243516666454146651194086297)/(249485287787876730958538085) , (1726910348213214950764012)/(249485287787876730958538085)*a^(28) - (4317987176783588608009394)/(83161762595958910319512695)*a^(27) + (1492630786420238614931783)/(5544117506397260687967513)*a^(26) - (131318310632233604536595371)/(249485287787876730958538085)*a^(25) + (31991432765567835401924588)/(83161762595958910319512695)*a^(24) - (62755263254305849981824755)/(49897057557575346191707617)*a^(23) + (523562303105930349708013766)/(83161762595958910319512695)*a^(22) - (3698928316601911778134120388)/(249485287787876730958538085)*a^(21) + (6034527937383944386905065489)/(249485287787876730958538085)*a^(20) - (3080620318922748543957572009)/(83161762595958910319512695)*a^(19) + (77940972215779759762001282)/(1393772557474171681332615)*a^(18) - (19323322474086954934525755952)/(249485287787876730958538085)*a^(17) + (8120921606200766466255313612)/(83161762595958910319512695)*a^(16) - 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