/* 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^21 - 343*x^19 - 1162*x^18 + 50421*x^17 + 341628*x^16 - 3539039*x^15 - 41773926*x^14 + 59992415*x^13 + 2617225520*x^12 + 8927122659*x^11 - 63601829382*x^10 - 500020233713*x^9 + 343600855164*x^8 + 14413854343811*x^7 + 58121867075622*x^6 + 69534025707132*x^5 - 474189524383064*x^4 - 3007387918123568*x^3 - 7993067522148464*x^2 - 4353580806135904*x - 862855657735952, 21, 15, [1, 10], 162416622734845697186095124682129787392026300909150645131485687939128476269805568, [2, 7, 11, 13, 239], [1, a, a^2, a^3, 1/2*a^4 - 1/2*a^2, 1/2*a^5 - 1/2*a^3, 1/2*a^6 - 1/2*a^2, 1/2*a^7 - 1/2*a^3, 1/44*a^8 - 5/22*a^7 + 1/11*a^6 + 5/22*a^5 - 7/44*a^4 - 1/11*a^3 - 1/22*a^2 + 5/11*a - 2/11, 1/44*a^9 - 2/11*a^7 + 3/22*a^6 + 5/44*a^5 - 2/11*a^4 + 1/22*a^3 - 1/2*a^2 + 4/11*a + 2/11, 1/44*a^10 - 2/11*a^7 - 7/44*a^6 + 3/22*a^5 - 5/22*a^4 - 5/22*a^3 - 2/11*a - 5/11, 1/44*a^11 + 1/44*a^7 - 3/22*a^6 + 1/11*a^5 - 5/22*a^3 - 1/22*a^2 + 2/11*a - 5/11, 1/88*a^12 - 1/88*a^10 - 1/88*a^8 - 19/88*a^6 - 1/22*a^5 - 1/11*a^4 - 7/22*a^3 + 3/22*a^2 - 1/11*a - 1/11, 1/88*a^13 - 1/88*a^11 - 1/88*a^9 - 19/88*a^7 - 1/22*a^6 - 1/11*a^5 + 2/11*a^4 + 3/22*a^3 + 9/22*a^2 - 1/11*a, 1/12584*a^14 - 7/1573*a^13 + 19/12584*a^12 - 10/1573*a^11 + 5/968*a^10 - 23/3146*a^9 + 59/12584*a^8 + 25/286*a^7 + 85/6292*a^6 + 58/1573*a^5 - 71/484*a^4 + 685/1573*a^3 - 537/3146*a^2 - 149/1573*a - 504/1573, 1/25168*a^15 - 57/12584*a^13 + 63/12584*a^12 - 67/6292*a^11 - 85/12584*a^10 + 9/1144*a^9 + 57/12584*a^8 + 2139/25168*a^7 - 199/968*a^6 + 243/6292*a^5 + 245/1573*a^4 + 706/1573*a^3 + 630/1573*a^2 - 134/1573*a + 45/1573, 1/50336*a^16 - 1/50336*a^15 - 1/25168*a^14 + 5/968*a^13 + 9/25168*a^12 - 141/25168*a^11 + 53/12584*a^10 + 15/1573*a^9 + 53/50336*a^8 + 12355/50336*a^7 + 3155/25168*a^6 + 2861/12584*a^5 + 133/1573*a^4 - 20/1573*a^3 - 178/1573*a^2 - 443/3146*a + 1189/3146, 1/553696*a^17 + 1/553696*a^16 - 1/69212*a^14 - 289/276848*a^13 - 117/21296*a^12 + 491/138424*a^11 - 1231/138424*a^10 - 4223/553696*a^9 + 201/553696*a^8 + 23523/138424*a^7 + 15219/138424*a^6 + 2295/69212*a^5 + 593/17303*a^4 - 15531/34606*a^3 + 5033/17303*a^2 - 441/2662*a + 652/17303, 1/7751744*a^18 + 5/7751744*a^17 - 51/7751744*a^16 - 41/7751744*a^15 - 1/484484*a^14 - 1275/553696*a^13 - 6543/3875872*a^12 - 1493/3875872*a^11 - 77247/7751744*a^10 - 86167/7751744*a^9 - 65671/7751744*a^8 - 848205/7751744*a^7 + 912031/3875872*a^6 - 373193/1937936*a^5 + 24021/968968*a^4 - 56477/242242*a^3 - 20689/484484*a^2 + 148355/484484*a + 153661/484484, 1/100772672*a^19 - 3/100772672*a^18 - 3/14396096*a^17 - 179/100772672*a^16 - 115/12596584*a^15 + 37/4580576*a^14 - 3083/4580576*a^13 + 212341/50386336*a^12 + 997649/100772672*a^11 - 141815/100772672*a^10 - 144007/14396096*a^9 - 643255/100772672*a^8 + 12566419/50386336*a^7 - 359701/25193168*a^6 + 1123351/12596584*a^5 + 389497/6298292*a^4 - 1487971/6298292*a^3 + 209103/484484*a^2 + 50537/899756*a + 676458/1574573, 1/28259923152039090628958947996843009675856709712163458680313134282604665503481646268391595461958432139241856*a^20 + 101846011654298671858418551594269921871916223524428135612231102074227627149177772991083810253194769/28259923152039090628958947996843009675856709712163458680313134282604665503481646268391595461958432139241856*a^19 + 4102237520693182429512748233688375343024841018864083803281681537869729198480747024457411536766685/7064980788009772657239736999210752418964177428040864670078283570651166375870411567097898865489608034810464*a^18 + 2187933797260492026833485892558599006745902713253988071194151442526983420053386419169967842707685739/14129961576019545314479473998421504837928354856081729340156567141302332751740823134195797730979216069620928*a^17 - 230992643943066494288803008372808490615590036261140110630529830375614229081877771996817905222960590065/28259923152039090628958947996843009675856709712163458680313134282604665503481646268391595461958432139241856*a^16 - 63140510854662295352139883650532334410324554112871051144823916928189007785751010879125192527416909891/4037131878862727232708421142406144239408101387451922668616162040372095071925949466913085065994061734177408*a^15 + 68455477725579686352694377808005202143690407851197925450652248996142209892588577388183657478167448047/2018565939431363616354210571203072119704050693725961334308081020186047535962974733456542532997030867088704*a^14 + 1174305444831135673998786563759939189994247769192947579327498964624361696341314573448078591032442644621/504641484857840904088552642800768029926012673431490333577020255046511883990743683364135633249257716772176*a^13 - 63653277503332582851148140792884826315850298992178193295608620248062531580994920547390545511253792050713/28259923152039090628958947996843009675856709712163458680313134282604665503481646268391595461958432139241856*a^12 + 1681082151093881886336226226543713919484262060144265182580292488233641392383486175083067062134015088259/367011988987520657518947376582376749037100126131992969874196549124735915629631769719371369635823794016128*a^11 - 3305412362814291775330008872545611463727701037986401804512161779417373810229369392922412887464792056829/883122598501221582154967124901344052370522178505108083759785446331395796983801445887237358186201004351308*a^10 - 61190857132652947598956168013367925171190819286863010074473971508268630588440603710031845453868063450633/14129961576019545314479473998421504837928354856081729340156567141302332751740823134195797730979216069620928*a^9 + 1333130280223429097557665717380795934434223185555678063738618983936353543979294642057746674913046735799/4037131878862727232708421142406144239408101387451922668616162040372095071925949466913085065994061734177408*a^8 - 4314838181097785600221195279424040146529860361823041302770570281803070432970907787514405731769477584453523/28259923152039090628958947996843009675856709712163458680313134282604665503481646268391595461958432139241856*a^7 - 476366831894681544516450025343366685189357494490846289983063784220500907796116003357750129848597298458085/2018565939431363616354210571203072119704050693725961334308081020186047535962974733456542532997030867088704*a^6 - 43032368196595089618365612285344649236531415822451823623840504885890520195663671085380307788159231685675/172316604585604211152188707297823229730833595805874748050689843186613814045619794319460947938770927678304*a^5 + 317036814049401361579559752033995343937916108883045523428014707801127320285167932569271118508071813274199/3532490394004886328619868499605376209482088714020432335039141785325583187935205783548949432744804017405232*a^4 - 405553204541879960806652156819168907214622631591418449797923467956384107774185521665545440025213390553235/1766245197002443164309934249802688104741044357010216167519570892662791593967602891774474716372402008702616*a^3 + 16155000509063538503193711121262124214635325106548010785236882798161609955862080620281919978545437573399/63080185607230113011069080350096003740751584178936291697127531880813985498842960420516954156157214596522*a^2 - 319390399507647872838004364199527870871363891522873706377518365977183138787890917514845302632915617990011/1766245197002443164309934249802688104741044357010216167519570892662791593967602891774474716372402008702616*a - 826782690863418590639774677497362896111680503564961415334197535221154130642266362184318533962898464139601/1766245197002443164309934249802688104741044357010216167519570892662791593967602891774474716372402008702616], 0, 0,0,0,0,0, [[x^3 - 49*x - 166, 1], [x^7 - 25168, 1]]]