/* 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 - x^29 + 5*x^28 - 6*x^27 + 20*x^26 - 27*x^25 + 75*x^24 - 46*x^23 + 211*x^22 - 109*x^21 + 617*x^20 - 357*x^19 + 1911*x^18 - 1372*x^17 + 2909*x^16 - 2210*x^15 + 4354*x^14 - 2262*x^13 + 5693*x^12 + 2042*x^11 + 3092*x^10 + 1302*x^9 + 2375*x^8 + 290*x^7 + 1798*x^6 - 511*x^5 + 146*x^4 - 41*x^3 + 12*x^2 - 3*x + 1, 30, 1, [0, 15], -13209167403604364499542354001933559191813355687, [7, 11], [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, a^15, a^16, a^17, a^18, 1/43*a^19 - 17/43*a^18 - 14/43*a^17 + 14/43*a^16 + 5/43*a^15 + 16/43*a^14 + 19/43*a^13 - 4/43*a^12 - 13/43*a^11 + 14/43*a^10 + 3/43*a^9 + 7/43*a^8 + 4/43*a^7 + 4/43*a^6 + 9/43*a^5 + 11/43*a^4 + 10/43*a^3 - 20/43*a^2 + 19/43*a + 18/43, 1/43*a^20 - 2/43*a^18 - 9/43*a^17 - 15/43*a^16 + 15/43*a^15 - 10/43*a^14 + 18/43*a^13 + 5/43*a^12 + 8/43*a^11 - 17/43*a^10 + 15/43*a^9 - 6/43*a^8 - 14/43*a^7 - 9/43*a^6 - 8/43*a^5 - 18/43*a^4 + 21/43*a^3 - 20/43*a^2 - 3/43*a + 5/43, 1/43*a^21 + 7/43*a^14 - 1/43*a^7 - 7/43, 1/43*a^22 + 7/43*a^15 - 1/43*a^8 - 7/43*a, 1/43*a^23 + 7/43*a^16 - 1/43*a^9 - 7/43*a^2, 1/43*a^24 + 7/43*a^17 - 1/43*a^10 - 7/43*a^3, 1/396586807*a^25 - 4350714/396586807*a^24 - 3410001/396586807*a^23 + 4453046/396586807*a^22 - 3476348/396586807*a^21 - 3558177/396586807*a^20 - 853258/396586807*a^19 - 158131282/396586807*a^18 + 38712637/396586807*a^17 + 135694806/396586807*a^16 + 76587940/396586807*a^15 + 61497807/396586807*a^14 + 103663006/396586807*a^13 + 193760508/396586807*a^12 + 104240870/396586807*a^11 + 143709208/396586807*a^10 - 78603003/396586807*a^9 - 133814790/396586807*a^8 + 112965244/396586807*a^7 + 194614168/396586807*a^6 - 33651863/396586807*a^5 + 180382075/396586807*a^4 - 3532178/396586807*a^3 + 45653903/396586807*a^2 - 138003062/396586807*a + 5432656/396586807, 1/17053232701*a^26 - 17/17053232701*a^25 - 97613540/17053232701*a^24 + 94533106/17053232701*a^23 - 88400513/17053232701*a^22 + 173692367/17053232701*a^21 + 49145536/17053232701*a^20 + 60840015/17053232701*a^19 - 2587182035/17053232701*a^18 + 186363464/17053232701*a^17 - 5718119947/17053232701*a^16 + 1246469766/17053232701*a^15 + 1194079629/17053232701*a^14 + 5718763938/17053232701*a^13 - 4030494251/17053232701*a^12 - 842854905/17053232701*a^11 - 4665241032/17053232701*a^10 - 3217753510/17053232701*a^9 + 5057589376/17053232701*a^8 - 8312034845/17053232701*a^7 - 378755582/17053232701*a^6 + 7078043486/17053232701*a^5 - 2591698761/17053232701*a^4 + 2626265490/17053232701*a^3 + 3009221732/17053232701*a^2 - 6857505879/17053232701*a - 6636223328/17053232701, 1/17053232701*a^27 - 2/17053232701*a^25 - 80954690/17053232701*a^24 - 76517526/17053232701*a^23 + 149285566/17053232701*a^22 + 94953880/17053232701*a^21 - 14683529/17053232701*a^20 - 170494006/17053232701*a^19 + 430275151/17053232701*a^18 + 4744523170/17053232701*a^17 + 503790404/17053232701*a^16 + 6014168224/17053232701*a^15 - 2386785948/17053232701*a^14 + 3772655943/17053232701*a^13 + 449498506/17053232701*a^12 - 7494769887/17053232701*a^11 - 4904306360/17053232701*a^10 - 5192960232/17053232701*a^9 - 8319847735/17053232701*a^8 - 5923274732/17053232701*a^7 + 36439945/86564633*a^6 - 6648973526/17053232701*a^5 + 2459203371/17053232701*a^4 + 2033338395/17053232701*a^3 + 4534251734/17053232701*a^2 + 3915623022/17053232701*a - 3012685487/17053232701, 1/17053232701*a^28 - 133596600/17053232701*a^21 - 6742221803/17053232701*a^14 - 6597075107/17053232701*a^7 + 7611643532/17053232701, 1/17053232701*a^29 - 133596600/17053232701*a^22 - 6742221803/17053232701*a^15 - 6597075107/17053232701*a^8 + 7611643532/17053232701*a], 1, 80, [2, 2, 2, 10], 1, [ (464644916)/(17053232701)*a^(29) - (116161229)/(17053232701)*a^(28) + (1626257206)/(17053232701)*a^(27) - (813128603)/(17053232701)*a^(26) + (5575738992)/(17053232701)*a^(25) - (4067069647)/(17053232701)*a^(24) + (19166602785)/(17053232701)*a^(23) + (11848445358)/(17053232701)*a^(22) + (59009904332)/(17053232701)*a^(21) + (30201919540)/(17053232701)*a^(20) + (180514549866)/(17053232701)*a^(19) + (62610902431)/(17053232701)*a^(18) + (561085493211)/(17053232701)*a^(17) + (81196699071)/(17053232701)*a^(16) + (249049674976)/(17053232701)*a^(15) + (243009291068)/(17053232701)*a^(14) + (398549176699)/(17053232701)*a^(13) + (898507106315)/(17053232701)*a^(12) + (596371749686)/(17053232701)*a^(11) + (3220077684068)/(17053232701)*a^(10) + (427124839033)/(17053232701)*a^(9) + (309569675285)/(17053232701)*a^(8) + (242544646152)/(17053232701)*a^(7) + (149499501723)/(17053232701)*a^(6) - (42398848585)/(17053232701)*a^(5) + (12196929045)/(17053232701)*a^(4) - (742506279115)/(17053232701)*a^(3) + (1045451061)/(17053232701)*a^(2) - (232322458)/(17053232701)*a + (17169393930)/(17053232701) , (3696579931)/(17053232701)*a^(29) - (2657988669)/(17053232701)*a^(28) + (17792792080)/(17053232701)*a^(27) - (17217182652)/(17053232701)*a^(26) + (69326308254)/(17053232701)*a^(25) - (80544502242)/(17053232701)*a^(24) + (255474237117)/(17053232701)*a^(23) - (99234167145)/(17053232701)*a^(22) + (755203090731)/(17053232701)*a^(21) - (191102613624)/(17053232701)*a^(20) + (2235875696544)/(17053232701)*a^(19) - (692342929277)/(17053232701)*a^(18) + (6895829432613)/(17053232701)*a^(17) - (3139696961616)/(17053232701)*a^(16) + (9952886574919)/(17053232701)*a^(15) - (5404315176297)/(17053232701)*a^(14) + (14653988169849)/(17053232701)*a^(13) - (4277405883645)/(17053232701)*a^(12) + (19955917769647)/(17053232701)*a^(11) + (13173761138163)/(17053232701)*a^(10) + (15271789433749)/(17053232701)*a^(9) + (9397180817817)/(17053232701)*a^(8) + (11446335949071)/(17053232701)*a^(7) + (4351558707782)/(17053232701)*a^(6) + (7890035659968)/(17053232701)*a^(5) + (8264603080)/(396586807)*a^(4) + (641249807838)/(17053232701)*a^(3) + (30857272766)/(17053232701)*a^(2) - (6703052287)/(17053232701)*a + (4045063618)/(17053232701) , (2675309)/(17053232701)*a^(28) + (172441947)/(17053232701)*a^(21) - (8741550090)/(17053232701)*a^(14) - (67197540407)/(17053232701)*a^(7) + (4843686456)/(17053232701) , (21293405)/(17053232701)*a^(29) + (1364031789)/(17053232701)*a^(22) - (70060659968)/(17053232701)*a^(15) - (499795366645)/(17053232701)*a^(8) + (114898015118)/(17053232701)*a , (104176872)/(17053232701)*a^(29) - (520884360)/(17053232701)*a^(28) + (625061232)/(17053232701)*a^(27) - (2083537440)/(17053232701)*a^(26) + (2812775544)/(17053232701)*a^(25) - (7813265400)/(17053232701)*a^(24) + (11459644532)/(17053232701)*a^(23) - (21981319992)/(17053232701)*a^(22) + (11355279048)/(17053232701)*a^(21) - (64277130024)/(17053232701)*a^(20) + (37191143304)/(17053232701)*a^(19) - (199082002392)/(17053232701)*a^(18) + (142930668384)/(17053232701)*a^(17) - (646195099857)/(17053232701)*a^(16) + (230230887120)/(17053232701)*a^(15) - (453586100688)/(17053232701)*a^(14) + (235648084464)/(17053232701)*a^(13) - (593078932296)/(17053232701)*a^(12) - (212729172624)/(17053232701)*a^(11) - (322114888224)/(17053232701)*a^(10) - (2561807077660)/(17053232701)*a^(9) - (247420071000)/(17053232701)*a^(8) - (30211292880)/(17053232701)*a^(7) - (187310015856)/(17053232701)*a^(6) + (53234381592)/(17053232701)*a^(5) - (15209823312)/(17053232701)*a^(4) + (4271251752)/(17053232701)*a^(3) + (678016630223)/(17053232701)*a^(2) + (312530616)/(17053232701)*a - (104176872)/(17053232701) , (1570679007)/(17053232701)*a^(29) - (3141358014)/(17053232701)*a^(28) + (8900514373)/(17053232701)*a^(27) - (16753909408)/(17053232701)*a^(26) + (38217690606)/(17053232701)*a^(25) - (70680555315)/(17053232701)*a^(24) + (149738065334)/(17053232701)*a^(23) - (175916048784)/(17053232701)*a^(22) + (364397529624)/(17053232701)*a^(21) - (478533537466)/(17053232701)*a^(20) + (1029841868923)/(17053232701)*a^(19) - (1472914452448)/(17053232701)*a^(18) + (3239263672103)/(17053232701)*a^(17) - (4969628378148)/(17053232701)*a^(16) + (5723554301508)/(17053232701)*a^(15) - (7321981970965)/(17053232701)*a^(14) + (8786901924827)/(17053232701)*a^(13) - (9234545441822)/(17053232701)*a^(12) + (10222127301181)/(17053232701)*a^(11) - (4550257083279)/(17053232701)*a^(10) - (1331412238267)/(17053232701)*a^(9) - (3880624266628)/(17053232701)*a^(8) + (66492077963)/(17053232701)*a^(7) - (3956540418633)/(17053232701)*a^(6) + (1125129728681)/(17053232701)*a^(5) - (3722119526988)/(17053232701)*a^(4) + (90575822737)/(17053232701)*a^(3) - (26177983450)/(17053232701)*a^(2) + (6806275697)/(17053232701)*a - (2094238676)/(17053232701) , (1022393436)/(17053232701)*a^(29) - (2157515604)/(17053232701)*a^(28) + (6028414329)/(17053232701)*a^(27) - (11647660803)/(17053232701)*a^(26) + (26194676082)/(17053232701)*a^(25) - (49249261416)/(17053232701)*a^(24) + (103152186888)/(17053232701)*a^(23) - (127218229365)/(17053232701)*a^(22) + (252498202521)/(17053232701)*a^(21) - (344359019607)/(17053232701)*a^(20) + (708883734426)/(17053232701)*a^(19) - (1052043332152)/(17053232701)*a^(18) + (2224267229331)/(17053232701)*a^(17) - (3525540201933)/(17053232701)*a^(16) + (4116375830262)/(17053232701)*a^(15) - (5359189018299)/(17053232701)*a^(14) + (6347471139792)/(17053232701)*a^(13) - (6897002065332)/(17053232701)*a^(12) + (7474501896839)/(17053232701)*a^(11) - (4061076114581)/(17053232701)*a^(10) - (398736798688)/(17053232701)*a^(9) - (2882310116274)/(17053232701)*a^(8) - (1425014175)/(17053232701)*a^(7) - (2915962564656)/(17053232701)*a^(6) + (829199084715)/(17053232701)*a^(5) - (2833460840671)/(17053232701)*a^(4) + (277143895853)/(17053232701)*a^(3) - (229702057109)/(17053232701)*a^(2) + (5012803338)/(17053232701)*a - (1551072468)/(17053232701) , (5308331372)/(17053232701)*a^(29) - (115345295)/(396586807)*a^(28) + (25842014177)/(17053232701)*a^(27) - (29875247339)/(17053232701)*a^(26) + (102449468112)/(17053232701)*a^(25) - (134846603959)/(17053232701)*a^(24) + (382443086985)/(17053232701)*a^(23) - (210961131618)/(17053232701)*a^(22) + (1081027746548)/(17053232701)*a^(21) - (497932346111)/(17053232701)*a^(20) + (3169069093218)/(17053232701)*a^(19) - (1666585162361)/(17053232701)*a^(18) + (9817370310627)/(17053232701)*a^(17) - (6564341118561)/(17053232701)*a^(16) + (14339333575480)/(17053232701)*a^(15) - (10461537776692)/(17053232701)*a^(14) + (21496701556213)/(17053232701)*a^(13) - (10057911657157)/(17053232701)*a^(12) + (655150668458)/(396586807)*a^(11) + (13110885427220)/(17053232701)*a^(10) + (15403803360985)/(17053232701)*a^(9) + (6616049440997)/(17053232701)*a^(8) + (11746299979152)/(17053232701)*a^(7) + (1621366114370)/(17053232701)*a^(6) + (8666549399303)/(17053232701)*a^(5) - (2462926849971)/(17053232701)*a^(4) - (35328056539)/(17053232701)*a^(3) - (197545693635)/(17053232701)*a^(2) + (40838682313)/(17053232701)*a - (14414898139)/(17053232701) , (4293583902)/(17053232701)*a^(29) - (65090688)/(396586807)*a^(28) + (19588142384)/(17053232701)*a^(27) - (17898414173)/(17053232701)*a^(26) + (74965998813)/(17053232701)*a^(25) - (83706470292)/(17053232701)*a^(24) + (273906953724)/(17053232701)*a^(23) - (74933796483)/(17053232701)*a^(22) + (808108115919)/(17053232701)*a^(21) - (134612478891)/(17053232701)*a^(20) + (2404523570601)/(17053232701)*a^(19) - (568240078162)/(17053232701)*a^(18) + (7432183607007)/(17053232701)*a^(17) - (2896022164077)/(17053232701)*a^(16) + (9698303815035)/(17053232701)*a^(15) - (4608765885834)/(17053232701)*a^(14) + (14254252964085)/(17053232701)*a^(13) - (2353477703329)/(17053232701)*a^(12) + (19369952321240)/(17053232701)*a^(11) + (18153867630912)/(17053232701)*a^(10) + (14120342912259)/(17053232701)*a^(9) + (9419987656746)/(17053232701)*a^(8) + (10944361731522)/(17053232701)*a^(7) + (4222942958089)/(17053232701)*a^(6) + (7187369785517)/(17053232701)*a^(5) + (344874466127)/(17053232701)*a^(4) - (834127511172)/(17053232701)*a^(3) + (240336478233)/(17053232701)*a^(2) - (66373195296)/(17053232701)*a + (20953952907)/(17053232701) , (7509321091)/(17053232701)*a^(29) - (5199816109)/(17053232701)*a^(28) + (35585584160)/(17053232701)*a^(27) - (33738824562)/(17053232701)*a^(26) + (137955649134)/(17053232701)*a^(25) - (158070239162)/(17053232701)*a^(24) + (507115153677)/(17053232701)*a^(23) - (179301731505)/(17053232701)*a^(22) + (1501229444371)/(17053232701)*a^(21) - (338528605144)/(17053232701)*a^(20) + (4449823677948)/(17053232701)*a^(19) - (1269337758157)/(17053232701)*a^(18) + (13728261591333)/(17053232701)*a^(17) - (5942061714216)/(17053232701)*a^(16) + (19300456985519)/(17053232701)*a^(15) - (10133385128417)/(17053232701)*a^(14) + (661533578123)/(396586807)*a^(13) - (7368949525470)/(17053232701)*a^(12) + (38787046358887)/(17053232701)*a^(11) + (28194690394843)/(17053232701)*a^(10) + (29655990916709)/(17053232701)*a^(9) + (18291035030377)/(17053232701)*a^(8) + (22156325867511)/(17053232701)*a^(7) + (8475673729182)/(17053232701)*a^(6) + (15105403198557)/(17053232701)*a^(5) + (692170068240)/(17053232701)*a^(4) + (548473106278)/(17053232701)*a^(3) + (60088288326)/(17053232701)*a^(2) - (13057620887)/(17053232701)*a - (213847161)/(396586807) , (698659435)/(17053232701)*a^(29) - (2218093439)/(17053232701)*a^(28) + (4965800783)/(17053232701)*a^(27) - (11595451141)/(17053232701)*a^(26) + (22732600815)/(17053232701)*a^(25) - (48281626148)/(17053232701)*a^(24) + (91735078677)/(17053232701)*a^(23) - (142138532670)/(17053232701)*a^(22) + (210386595431)/(17053232701)*a^(21) - (384621978478)/(17053232701)*a^(20) + (582225336273)/(17053232701)*a^(19) - (1153320189659)/(17053232701)*a^(18) + (1838035846668)/(17053232701)*a^(17) - (3761891665635)/(17053232701)*a^(16) + (3990031380068)/(17053232701)*a^(15) - (5640819353736)/(17053232701)*a^(14) + (6109363130912)/(17053232701)*a^(13) - (7737961153961)/(17053232701)*a^(12) + (6965269456989)/(17053232701)*a^(11) - (6590170388915)/(17053232701)*a^(10) - (1413219160564)/(17053232701)*a^(9) - (3183706958489)/(17053232701)*a^(8) - (13496380907)/(17053232701)*a^(7) - (3079863161892)/(17053232701)*a^(6) + (875712532018)/(17053232701)*a^(5) - (2846813239219)/(17053232701)*a^(4) + (809590163356)/(17053232701)*a^(3) - (20433856911)/(17053232701)*a^(2) + (5273307979)/(17053232701)*a - (23975007575)/(17053232701) , (42716927)/(17053232701)*a^(29) - (140910915)/(17053232701)*a^(28) + (169093098)/(17053232701)*a^(27) - (563643660)/(17053232701)*a^(26) + (760918941)/(17053232701)*a^(25) - (2113663725)/(17053232701)*a^(24) + (3099434379)/(17053232701)*a^(23) - (5017308772)/(17053232701)*a^(22) + (3071857947)/(17053232701)*a^(21) - (17388406911)/(17053232701)*a^(20) + (10061039331)/(17053232701)*a^(19) - (53856151713)/(17053232701)*a^(18) + (38665955076)/(17053232701)*a^(17) - (174854110548)/(17053232701)*a^(16) + (14344090620)/(17053232701)*a^(15) - (122705224782)/(17053232701)*a^(14) + (63748097946)/(17053232701)*a^(13) - (160441167819)/(17053232701)*a^(12) - (57548017686)/(17053232701)*a^(11) - (87139309836)/(17053232701)*a^(10) - (690983409734)/(17053232701)*a^(9) - (401229239834)/(17053232701)*a^(8) - (8172833070)/(17053232701)*a^(7) - (50671565034)/(17053232701)*a^(6) + (14401095513)/(17053232701)*a^(5) - (4114598718)/(17053232701)*a^(4) + (1155469503)/(17053232701)*a^(3) + (210060011612)/(17053232701)*a^(2) + (2345099312)/(396586807)*a + (17025050518)/(17053232701) , (8438610923)/(17053232701)*a^(29) - (5432138567)/(17053232701)*a^(28) + (38838098572)/(17053232701)*a^(27) - (35365081768)/(17053232701)*a^(26) + (149107127118)/(17053232701)*a^(25) - (843677048)/(86564633)*a^(24) + (545448359247)/(17053232701)*a^(23) - (155604840789)/(17053232701)*a^(22) + (1619249253035)/(17053232701)*a^(21) - (278124766064)/(17053232701)*a^(20) + (4810852777680)/(17053232701)*a^(19) - (1144115953295)/(17053232701)*a^(18) + (14850432577755)/(17053232701)*a^(17) - (5779668316074)/(17053232701)*a^(16) + (19798556335471)/(17053232701)*a^(15) - (9647366546281)/(17053232701)*a^(14) + (29243042212687)/(17053232701)*a^(13) - (5571935312840)/(17053232701)*a^(12) + (39979789858259)/(17053232701)*a^(11) + (34634845762979)/(17053232701)*a^(10) + (30510240594775)/(17053232701)*a^(9) + (18910174380947)/(17053232701)*a^(8) + (22641415159815)/(17053232701)*a^(7) + (8774672732628)/(17053232701)*a^(6) + (349316407009)/(396586807)*a^(5) + (716563926330)/(17053232701)*a^(4) - (936539451952)/(17053232701)*a^(3) + (62179190448)/(17053232701)*a^(2) - (13522265803)/(17053232701)*a + (25143359937)/(17053232701) , (21293405)/(17053232701)*a^(29) - (140910915)/(17053232701)*a^(28) + (169093098)/(17053232701)*a^(27) - (563643660)/(17053232701)*a^(26) + (760918941)/(17053232701)*a^(25) - (2113663725)/(17053232701)*a^(24) + (3099434379)/(17053232701)*a^(23) - (6385462785)/(17053232701)*a^(22) + (3071857947)/(17053232701)*a^(21) - (17388406911)/(17053232701)*a^(20) + (10061039331)/(17053232701)*a^(19) - (53856151713)/(17053232701)*a^(18) + (38665955076)/(17053232701)*a^(17) - (174854110548)/(17053232701)*a^(16) + (85094104663)/(17053232701)*a^(15) - (122705224782)/(17053232701)*a^(14) + (63748097946)/(17053232701)*a^(13) - (160441167819)/(17053232701)*a^(12) - (57548017686)/(17053232701)*a^(11) - (87139309836)/(17053232701)*a^(10) - (690983409734)/(17053232701)*a^(9) + (87562156198)/(17053232701)*a^(8) - (8172833070)/(17053232701)*a^(7) - (50671565034)/(17053232701)*a^(6) + (14401095513)/(17053232701)*a^(5) - (4114598718)/(17053232701)*a^(4) + (1155469503)/(17053232701)*a^(3) + (210060011612)/(17053232701)*a^(2) - (78362403440)/(17053232701)*a + (17025050518)/(17053232701) ], 4697581952.048968, [[x^2 - x + 2, 1], [x^3 - x^2 - 2*x + 1, 1], [x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, 1], [x^10 - x^9 + 14*x^8 - 7*x^7 + 85*x^6 - 29*x^5 + 218*x^4 - 8*x^3 + 216*x^2 - 48*x + 32, 1], [x^15 - x^14 - 22*x^13 + 17*x^12 + 166*x^11 - 102*x^10 - 533*x^9 + 270*x^8 + 729*x^7 - 352*x^6 - 393*x^5 + 173*x^4 + 80*x^3 - 27*x^2 - 6*x + 1, 1]]]