/* 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^30 - 6*x^29 + 38*x^28 - 178*x^27 + 694*x^26 - 2325*x^25 + 6840*x^24 - 17890*x^23 + 42428*x^22 - 92148*x^21 + 185209*x^20 - 348333*x^19 + 617591*x^18 - 1037914*x^17 + 1659175*x^16 - 2519432*x^15 + 3620042*x^14 - 4892313*x^13 + 6168845*x^12 - 7195888*x^11 + 7698034*x^10 - 7475970*x^9 + 6524456*x^8 - 5050948*x^7 + 3416179*x^6 - 1976201*x^5 + 950326*x^4 - 363451*x^3 + 103267*x^2 - 19350*x + 1849, 30, 14, [0, 15], -6072125144349637560639895035214067242224098130847, [17, 127], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/17*a^11 - 1/17*a^10 + 1/17*a^9 + 6/17*a^8 + 8/17*a^7 - 8/17*a^6 - 7/17*a^4 - 1/17*a^3 + 2/17*a^2 - 7/17*a - 7/17, 1/17*a^12 + 7/17*a^9 - 3/17*a^8 - 8/17*a^6 - 7/17*a^5 - 8/17*a^4 + 1/17*a^3 - 5/17*a^2 + 3/17*a - 7/17, 1/17*a^13 + 7/17*a^10 - 3/17*a^9 - 8/17*a^7 - 7/17*a^6 - 8/17*a^5 + 1/17*a^4 - 5/17*a^3 + 3/17*a^2 - 7/17*a, 1/17*a^14 + 4/17*a^10 - 7/17*a^9 + 1/17*a^8 + 5/17*a^7 - 3/17*a^6 + 1/17*a^5 - 7/17*a^4 - 7/17*a^3 - 4/17*a^2 - 2/17*a - 2/17, 1/17*a^15 - 3/17*a^10 - 3/17*a^9 - 2/17*a^8 - 1/17*a^7 - 1/17*a^6 - 7/17*a^5 + 4/17*a^4 + 7/17*a^2 - 8/17*a - 6/17, 1/17*a^16 - 6/17*a^10 + 1/17*a^9 + 6/17*a^7 + 3/17*a^6 + 4/17*a^5 - 4/17*a^4 + 4/17*a^3 - 2/17*a^2 + 7/17*a - 4/17, 1/17*a^17 - 5/17*a^10 + 6/17*a^9 + 8/17*a^8 + 7/17*a^6 - 4/17*a^5 - 4/17*a^4 - 8/17*a^3 + 2/17*a^2 + 5/17*a - 8/17, 1/17*a^18 + 1/17*a^10 - 4/17*a^9 - 4/17*a^8 - 4/17*a^7 + 7/17*a^6 - 4/17*a^5 + 8/17*a^4 - 3/17*a^3 - 2/17*a^2 + 8/17*a - 1/17, 1/17*a^19 - 3/17*a^10 - 5/17*a^9 + 7/17*a^8 - 1/17*a^7 + 4/17*a^6 + 8/17*a^5 + 4/17*a^4 - 1/17*a^3 + 6/17*a^2 + 6/17*a + 7/17, 1/17*a^20 - 8/17*a^10 - 7/17*a^9 - 6/17*a^7 + 1/17*a^6 + 4/17*a^5 - 5/17*a^4 + 3/17*a^3 - 5/17*a^2 + 3/17*a - 4/17, 1/187*a^21 + 2/187*a^20 - 3/187*a^19 - 3/187*a^18 - 3/187*a^17 - 3/187*a^16 + 3/187*a^15 + 1/187*a^13 + 1/187*a^12 + 2/187*a^11 + 4/187*a^10 - 54/187*a^9 + 63/187*a^8 + 38/187*a^7 - 19/187*a^6 + 23/187*a^5 + 69/187*a^4 + 28/187*a^3 + 37/187*a^2 - 4/187*a + 4/11, 1/3179*a^22 - 2/3179*a^21 + 8/289*a^20 - 24/3179*a^19 - 46/3179*a^18 + 31/3179*a^17 - 3/187*a^16 + 32/3179*a^15 - 54/3179*a^14 + 5/187*a^13 - 57/3179*a^12 + 84/3179*a^11 + 392/3179*a^10 + 1412/3179*a^9 - 808/3179*a^8 - 666/3179*a^7 - 8/17*a^6 - 892/3179*a^5 - 105/3179*a^4 - 966/3179*a^3 + 310/3179*a^2 - 1500/3179*a - 580/3179, 1/3179*a^23 - 1/3179*a^21 - 18/3179*a^20 - 26/3179*a^19 + 7/3179*a^18 + 79/3179*a^17 - 2/3179*a^16 - 58/3179*a^15 - 23/3179*a^14 + 28/3179*a^13 + 72/3179*a^12 + 16/3179*a^11 + 921/3179*a^10 + 996/3179*a^9 - 157/3179*a^8 + 113/3179*a^7 + 1471/3179*a^6 - 852/3179*a^5 + 439/3179*a^4 + 1234/3179*a^3 + 1211/3179*a^2 - 61/3179*a + 727/3179, 1/3179*a^24 - 3/3179*a^21 - 91/3179*a^20 - 4/187*a^19 - 18/3179*a^18 - 2/289*a^17 + 27/3179*a^16 + 60/3179*a^15 - 26/3179*a^14 - 13/3179*a^13 - 24/3179*a^12 - 83/3179*a^11 - 1536/3179*a^10 + 1272/3179*a^9 + 2/3179*a^8 - 606/3179*a^7 - 1549/3179*a^6 + 1434/3179*a^5 + 619/3179*a^4 - 214/3179*a^3 - 1366/3179*a^2 - 467/3179*a - 1107/3179, 1/3179*a^25 + 5/3179*a^21 + 26/3179*a^20 - 2/289*a^19 - 92/3179*a^18 + 1/3179*a^17 - 25/3179*a^16 + 2/3179*a^15 + 12/3179*a^14 - 41/3179*a^13 + 35/3179*a^12 + 42/3179*a^11 + 3/187*a^10 - 335/3179*a^9 + 404/3179*a^8 + 329/3179*a^7 - 504/3179*a^6 - 49/187*a^5 + 1273/3179*a^4 - 111/289*a^3 + 871/3179*a^2 - 405/3179*a - 1349/3179, 1/3179*a^26 + 2/3179*a^21 + 31/3179*a^20 - 57/3179*a^19 - 41/3179*a^18 - 78/3179*a^17 - 15/3179*a^16 - 63/3179*a^15 + 42/3179*a^14 - 50/3179*a^13 - 81/3179*a^12 - 63/3179*a^11 - 2/17*a^10 + 229/3179*a^9 - 67/187*a^8 - 336/3179*a^7 + 6/17*a^6 + 650/3179*a^5 + 1072/3179*a^4 - 1422/3179*a^3 + 9/187*a^2 + 116/3179*a + 1336/3179, 1/2323849*a^27 + 256/2323849*a^26 + 15/211259*a^25 - 12/211259*a^24 + 23/211259*a^23 + 2/2323849*a^22 + 2174/2323849*a^21 - 57213/2323849*a^20 + 51897/2323849*a^19 - 783/136697*a^18 + 51574/2323849*a^17 - 17266/2323849*a^16 - 63476/2323849*a^15 - 60952/2323849*a^14 - 214/136697*a^13 - 14482/2323849*a^12 + 35743/2323849*a^11 - 316460/2323849*a^10 - 341086/2323849*a^9 - 80904/211259*a^8 - 781905/2323849*a^7 + 1113771/2323849*a^6 + 104553/211259*a^5 + 8930/136697*a^4 - 504408/2323849*a^3 + 929658/2323849*a^2 - 90703/211259*a - 15322/54043, 1/8744643787*a^28 - 1385/8744643787*a^27 - 48476/794967617*a^26 + 319751/8744643787*a^25 - 1272913/8744643787*a^24 - 953918/8744643787*a^23 + 1191884/8744643787*a^22 - 23254290/8744643787*a^21 - 10412375/514390811*a^20 - 252428357/8744643787*a^19 + 103882423/8744643787*a^18 + 222523310/8744643787*a^17 + 47425154/8744643787*a^16 + 84369088/8744643787*a^15 + 233676827/8744643787*a^14 + 133316875/8744643787*a^13 + 208612856/8744643787*a^12 + 136757451/8744643787*a^11 + 1724727227/8744643787*a^10 + 72698176/8744643787*a^9 + 2401216568/8744643787*a^8 + 666368442/8744643787*a^7 + 562403001/8744643787*a^6 - 2639366288/8744643787*a^5 + 1977451678/8744643787*a^4 - 580022060/8744643787*a^3 + 1786372273/8744643787*a^2 - 4247656330/8744643787*a - 2504990/203363809, 1/10869592227241*a^29 + 394/10869592227241*a^28 - 927501/10869592227241*a^27 - 294692808/10869592227241*a^26 - 17385894/988144747931*a^25 + 1040069708/10869592227241*a^24 - 919137512/10869592227241*a^23 - 1180401683/10869592227241*a^22 - 7492882953/10869592227241*a^21 + 111183350176/10869592227241*a^20 - 1430506986/96191081657*a^19 - 2376810727/153092848271*a^18 - 249737690075/10869592227241*a^17 + 115215844176/10869592227241*a^16 - 59682595032/10869592227241*a^15 + 319394965449/10869592227241*a^14 + 290548062479/10869592227241*a^13 - 69194759450/10869592227241*a^12 + 14786857864/988144747931*a^11 + 885140395022/10869592227241*a^10 - 451544042711/10869592227241*a^9 + 2228595007301/10869592227241*a^8 - 3855946038863/10869592227241*a^7 + 3177923235990/10869592227241*a^6 + 4707563738929/10869592227241*a^5 + 82060550320/252781214587*a^4 + 4269053233906/10869592227241*a^3 + 920063676781/10869592227241*a^2 - 3206359537761/10869592227241*a + 55691219114/252781214587], 0, 5, [5], 1, [ (82929283375)/(10869592227241)*a^(29) - (511299728651)/(10869592227241)*a^(28) + (3181225099007)/(10869592227241)*a^(27) - (15009427331757)/(10869592227241)*a^(26) + (5294950296734)/(988144747931)*a^(25) - (194510886995199)/(10869592227241)*a^(24) + (569763043018339)/(10869592227241)*a^(23) - (1482456063682337)/(10869592227241)*a^(22) + (3494245700753685)/(10869592227241)*a^(21) - (7543424377549897)/(10869592227241)*a^(20) + (133288174831586)/(96191081657)*a^(19) - (28142433950508032)/(10869592227241)*a^(18) + (49587982675342707)/(10869592227241)*a^(17) - (82815353765132907)/(10869592227241)*a^(16) + (131554569195331471)/(10869592227241)*a^(15) - (198433116702938176)/(10869592227241)*a^(14) + (282846500625928882)/(10869592227241)*a^(13) - (378587674955524442)/(10869592227241)*a^(12) + (42877204794629410)/(988144747931)*a^(11) - (10221759430672248)/(205086645797)*a^(10) + (568444254161278692)/(10869592227241)*a^(9) - (538632344549053105)/(10869592227241)*a^(8) + (26785546303971770)/(639387778073)*a^(7) - (338472891793985697)/(10869592227241)*a^(6) + (216742514610878427)/(10869592227241)*a^(5) - (116372267022377326)/(10869592227241)*a^(4) + (50272804614184786)/(10869592227241)*a^(3) - (16257763345940440)/(10869592227241)*a^(2) + (3451933103687649)/(10869592227241)*a - (8588741322094)/(252781214587) , (20328240874)/(10869592227241)*a^(29) - (148472513357)/(10869592227241)*a^(28) + (52959321538)/(639387778073)*a^(27) - (4457508829531)/(10869592227241)*a^(26) + (1613626623883)/(988144747931)*a^(25) - (60800839681962)/(10869592227241)*a^(24) + (182225258546029)/(10869592227241)*a^(23) - (484778586249500)/(10869592227241)*a^(22) + (1164064724193978)/(10869592227241)*a^(21) - (2557942343457687)/(10869592227241)*a^(20) + (45916328415095)/(96191081657)*a^(19) - (9827721236026704)/(10869592227241)*a^(18) + (17534237494594698)/(10869592227241)*a^(17) - (29624083368976629)/(10869592227241)*a^(16) + (47583166026751815)/(10869592227241)*a^(15) - (72641532976401539)/(10869592227241)*a^(14) + (6172577249037211)/(639387778073)*a^(13) - (142605818747640335)/(10869592227241)*a^(12) + (16438985969164893)/(988144747931)*a^(11) - (211955441089178374)/(10869592227241)*a^(10) + (227555671014976591)/(10869592227241)*a^(9) - (221405990451626850)/(10869592227241)*a^(8) + (192870990720082281)/(10869592227241)*a^(7) - (2801865410837576)/(205086645797)*a^(6) + (99103098746254663)/(10869592227241)*a^(5) - (56042793651088174)/(10869592227241)*a^(4) + (25804751564266371)/(10869592227241)*a^(3) - (9156435552911411)/(10869592227241)*a^(2) + (2204019300043838)/(10869592227241)*a - (6586981642693)/(252781214587) , (64782116428)/(10869592227241)*a^(29) - (6887026623)/(205086645797)*a^(28) + (2298430608915)/(10869592227241)*a^(27) - (10544569499892)/(10869592227241)*a^(26) + (3650824354020)/(988144747931)*a^(25) - (131813394777763)/(10869592227241)*a^(24) + (379685035266609)/(10869592227241)*a^(23) - (971716127381179)/(10869592227241)*a^(22) + (2258040670657411)/(10869592227241)*a^(21) - (4808326574374102)/(10869592227241)*a^(20) + (83899703123792)/(96191081657)*a^(19) - (17523148475885821)/(10869592227241)*a^(18) + (30564853190158747)/(10869592227241)*a^(17) - (2974086120850899)/(639387778073)*a^(16) + (79575712163874584)/(10869592227241)*a^(15) - (118802267382968220)/(10869592227241)*a^(14) + (167386491292806737)/(10869592227241)*a^(13) - (221065851521303535)/(10869592227241)*a^(12) + (464929559835683)/(18644240527)*a^(11) - (305638784478034870)/(10869592227241)*a^(10) + (313945804215682046)/(10869592227241)*a^(9) - (17064642514342062)/(639387778073)*a^(8) + (238307215156640566)/(10869592227241)*a^(7) - (171204135050828307)/(10869592227241)*a^(6) + (105234919482960624)/(10869592227241)*a^(5) - (53778853772163296)/(10869592227241)*a^(4) + (1281279747143063)/(639387778073)*a^(3) - (6482115859866334)/(10869592227241)*a^(2) + (1243689812233497)/(10869592227241)*a - (175531112154)/(14869483211) , (71188492753)/(10869592227241)*a^(29) - (344553323166)/(10869592227241)*a^(28) + (2244893194708)/(10869592227241)*a^(27) - (9758895029434)/(10869592227241)*a^(26) + (3280716902091)/(988144747931)*a^(25) - (114809653841052)/(10869592227241)*a^(24) + (320607414073633)/(10869592227241)*a^(23) - (794814784120243)/(10869592227241)*a^(22) + (1796137906260905)/(10869592227241)*a^(21) - (70132975416146)/(205086645797)*a^(20) + (3715458262779)/(5658298921)*a^(19) - (12885996512059067)/(10869592227241)*a^(18) + (21972123767946409)/(10869592227241)*a^(17) - (35567695610046078)/(10869592227241)*a^(16) + (54791829360245760)/(10869592227241)*a^(15) - (79789712670714644)/(10869592227241)*a^(14) + (109231637152378504)/(10869592227241)*a^(13) - (139362886485358306)/(10869592227241)*a^(12) + (14882327361557152)/(988144747931)*a^(11) - (175291854033682755)/(10869592227241)*a^(10) + (169124089085974978)/(10869592227241)*a^(9) - (144412247485426370)/(10869592227241)*a^(8) + (107770793933788324)/(10869592227241)*a^(7) - (68171123853239672)/(10869592227241)*a^(6) + (2076450440822946)/(639387778073)*a^(5) - (13989626488970631)/(10869592227241)*a^(4) + (3618036313190977)/(10869592227241)*a^(3) - (297374616801179)/(10869592227241)*a^(2) - (92687734546838)/(10869592227241)*a + (499434695299)/(252781214587) , (6477499551)/(10869592227241)*a^(29) - (13941144911)/(10869592227241)*a^(28) + (120367797708)/(10869592227241)*a^(27) - (356518872354)/(10869592227241)*a^(26) + (89384381715)/(988144747931)*a^(25) - (2131830783601)/(10869592227241)*a^(24) + (3250777329945)/(10869592227241)*a^(23) - (1419691859767)/(10869592227241)*a^(22) - (492056756890)/(639387778073)*a^(21) + (2439827033751)/(639387778073)*a^(20) - (1068709618040)/(96191081657)*a^(19) + (278051769570480)/(10869592227241)*a^(18) - (576447784507878)/(10869592227241)*a^(17) + (1094583310027605)/(10869592227241)*a^(16) - (1929454163074446)/(10869592227241)*a^(15) + (190956046710285)/(639387778073)*a^(14) - (5126188801184086)/(10869592227241)*a^(13) + (7550019506403334)/(10869592227241)*a^(12) - (940569972908507)/(988144747931)*a^(11) + (12976671527550260)/(10869592227241)*a^(10) - (14789239688103052)/(10869592227241)*a^(9) + (15342249632061931)/(10869592227241)*a^(8) - (49311560261316)/(37611045769)*a^(7) + (11984853576438296)/(10869592227241)*a^(6) - (209917301770746)/(252781214587)*a^(5) + (6060825572639744)/(10869592227241)*a^(4) - (3517951622180166)/(10869592227241)*a^(3) + (1639658148091214)/(10869592227241)*a^(2) - (536603559902952)/(10869592227241)*a + (1853964715819)/(252781214587) , (328378203)/(988144747931)*a^(29) - (8996309)/(5284196513)*a^(28) + (10637303747)/(988144747931)*a^(27) - (47100798314)/(988144747931)*a^(26) + (174289250486)/(988144747931)*a^(25) - (1922021212)/(3419185979)*a^(24) + (1556493797241)/(988144747931)*a^(23) - (352170098938)/(89831340721)*a^(22) + (8792323907784)/(988144747931)*a^(21) - (18336475099651)/(988144747931)*a^(20) + (18499938350)/(514390811)*a^(19) - (64854133670925)/(988144747931)*a^(18) + (6591213303068)/(58126161643)*a^(17) - (183918836463789)/(988144747931)*a^(16) + (287545536073402)/(988144747931)*a^(15) - (426226091754376)/(988144747931)*a^(14) + (596071800790834)/(988144747931)*a^(13) - (18194590572683)/(22980110417)*a^(12) + (956967982584292)/(988144747931)*a^(11) - (1084782798603562)/(988144747931)*a^(10) + (103245436536439)/(89831340721)*a^(9) - (64228262020225)/(58126161643)*a^(8) + (962011472013534)/(988144747931)*a^(7) - (70234932302481)/(89831340721)*a^(6) + (33003576666076)/(58126161643)*a^(5) - (361373043026966)/(988144747931)*a^(4) + (201980803521737)/(988144747931)*a^(3) - (156999243756)/(1694930957)*a^(2) + (30254583678592)/(988144747931)*a - (118782296514)/(22980110417) , (26517394696)/(10869592227241)*a^(29) - (177828748682)/(10869592227241)*a^(28) + (1100177629306)/(10869592227241)*a^(27) - (5326492532837)/(10869592227241)*a^(26) + (1913484610797)/(988144747931)*a^(25) - (71541478383896)/(10869592227241)*a^(24) + (213000304015679)/(10869592227241)*a^(23) - (563160165450255)/(10869592227241)*a^(22) + (1346109983916549)/(10869592227241)*a^(21) - (2944494234920945)/(10869592227241)*a^(20) + (52654665746148)/(96191081657)*a^(19) - (11235291390959881)/(10869592227241)*a^(18) + (19988860000752858)/(10869592227241)*a^(17) - (33688288171369443)/(10869592227241)*a^(16) + (53991577616000173)/(10869592227241)*a^(15) - (82221537127477848)/(10869592227241)*a^(14) + (118464049718857814)/(10869592227241)*a^(13) - (160527462713441442)/(10869592227241)*a^(12) + (1085015194665130)/(58126161643)*a^(11) - (237033959339527038)/(10869592227241)*a^(10) + (253652057838929131)/(10869592227241)*a^(9) - (246021329579042861)/(10869592227241)*a^(8) + (213790084282619113)/(10869592227241)*a^(7) - (164249906274286968)/(10869592227241)*a^(6) + (109484784066051313)/(10869592227241)*a^(5) - (61810677018160588)/(10869592227241)*a^(4) + (28404601368062072)/(10869592227241)*a^(3) - (9996735598826354)/(10869592227241)*a^(2) + (2367742640520977)/(10869592227241)*a - (6453735712223)/(252781214587) , (85612187037)/(10869592227241)*a^(29) - (6690473503)/(153092848271)*a^(28) + (3028481059232)/(10869592227241)*a^(27) - (13810994871727)/(10869592227241)*a^(26) + (4801064064334)/(988144747931)*a^(25) - (173524148321503)/(10869592227241)*a^(24) + (500943780987948)/(10869592227241)*a^(23) - (1285278195630778)/(10869592227241)*a^(22) + (2995525264224431)/(10869592227241)*a^(21) - (376226632606645)/(639387778073)*a^(20) + (111955316577875)/(96191081657)*a^(19) - (442477743858756)/(205086645797)*a^(18) + (41016774061473613)/(10869592227241)*a^(17) - 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