/* 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^19 - 6*x^18 + 18*x^17 - 39*x^16 + 73*x^15 - 200*x^14 + 265*x^13 + 305*x^12 - 931*x^11 + 1905*x^10 - 5214*x^9 + 10284*x^8 - 13343*x^7 + 12719*x^6 - 8662*x^5 + 4443*x^4 - 1732*x^3 + 614*x^2 - 152*x + 39, 19, 2, [1, 9], -231310367559550740879663744871, [1831], [1, a, a^2, a^3, a^4, a^5, 1/3*a^6 + 1/3*a^5 + 1/3*a^4 - 1/3*a^3 + 1/3*a, 1/3*a^7 + 1/3*a^4 + 1/3*a^3 + 1/3*a^2 - 1/3*a, 1/3*a^8 + 1/3*a^5 + 1/3*a^4 + 1/3*a^3 - 1/3*a^2, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/9*a^11 - 1/9*a^10 - 1/9*a^7 - 1/3*a^5 - 4/9*a^4 + 1/9*a^3 + 4/9*a + 1/3, 1/9*a^12 - 1/9*a^10 - 1/9*a^8 - 1/9*a^7 - 4/9*a^5 - 2/9*a^3 + 4/9*a^2 + 1/9*a + 1/3, 1/9*a^13 - 1/9*a^10 - 1/9*a^9 - 1/9*a^8 - 1/9*a^7 - 1/9*a^6 - 1/3*a^4 + 2/9*a^3 + 1/9*a^2 + 1/9*a + 1/3, 1/9*a^14 + 1/9*a^10 - 1/9*a^9 - 1/9*a^8 + 1/9*a^7 + 1/3*a^5 + 1/9*a^4 - 4/9*a^3 + 1/9*a^2 + 4/9*a + 1/3, 1/27*a^15 + 1/27*a^14 + 1/27*a^13 - 1/27*a^12 - 1/27*a^11 - 1/27*a^10 + 1/9*a^9 - 1/9*a^8 - 1/27*a^6 - 1/27*a^5 + 11/27*a^4 - 4/27*a^3 - 4/27*a^2 - 7/27*a - 4/9, 1/189*a^16 - 1/63*a^15 + 2/63*a^14 + 4/189*a^13 - 1/21*a^12 - 1/63*a^11 + 25/189*a^10 + 1/9*a^9 + 8/63*a^8 - 10/189*a^7 - 8/63*a^6 + 31/63*a^4 + 1/9*a^3 - 31/63*a^2 - 74/189*a + 25/63, 1/5677371*a^17 + 4/9639*a^16 - 39061/5677371*a^15 + 23431/630819*a^14 + 44839/1892457*a^13 - 108944/5677371*a^12 - 115825/5677371*a^11 - 83947/811053*a^10 - 7723/630819*a^9 + 683246/5677371*a^8 - 322213/5677371*a^7 - 128144/811053*a^6 + 2283073/5677371*a^5 + 195559/811053*a^4 - 2635103/5677371*a^3 + 177047/5677371*a^2 + 1613687/5677371*a - 90832/270351, 1/6376620657827511*a^18 - 286725058/6376620657827511*a^17 + 5114476798316/2125540219275837*a^16 - 91393300682065/6376620657827511*a^15 + 29099678211083/2125540219275837*a^14 - 353851745036513/6376620657827511*a^13 + 56230169410196/2125540219275837*a^12 - 5525634038423/205697440575081*a^11 + 10920697707662/6376620657827511*a^10 - 408800903654779/6376620657827511*a^9 + 827255474969296/6376620657827511*a^8 + 4028471867507/54501031263483*a^7 - 98232255326917/910945808261073*a^6 - 11019316777724/375095332813383*a^5 - 1126468650470110/6376620657827511*a^4 - 15674151521204/125031777604461*a^3 + 1758133891772611/6376620657827511*a^2 + 638318059312385/6376620657827511*a - 10834185621670/163503093790449], 0, 1, [], 1, [ (640952800669)/(40615418202723)*a^(18) - (2931954966295)/(40615418202723)*a^(17) + (2110480276357)/(13538472734241)*a^(16) - (10314778560640)/(40615418202723)*a^(15) + (6647847734)/(16174997293)*a^(14) - (10527943743065)/(5802202600389)*a^(13) + (3309052107463)/(13538472734241)*a^(12) + (377766596209378)/(40615418202723)*a^(11) - (229555998746089)/(40615418202723)*a^(10) + (3714804392149)/(341306035317)*a^(9) - (61764485323535)/(1310174780733)*a^(8) + (62299915373020)/(1041420979557)*a^(7) - (100836221716012)/(5802202600389)*a^(6) - (785901072815749)/(40615418202723)*a^(5) + (1707045094556567)/(40615418202723)*a^(4) - (332853939776447)/(13538472734241)*a^(3) + (297243771493576)/(40615418202723)*a^(2) - (282158803024)/(5802202600389)*a + (2517710747837)/(1041420979557) , (262365324010058)/(6376620657827511)*a^(18) - (1510527786296168)/(6376620657827511)*a^(17) + (53475301888637)/(78723711825031)*a^(16) - (9038512679321534)/(6376620657827511)*a^(15) + (5515321892945674)/(2125540219275837)*a^(14) - (47590549137208366)/(6376620657827511)*a^(13) + (18797232756079172)/(2125540219275837)*a^(12) + (98215506220514159)/(6376620657827511)*a^(11) - (32271205040054828)/(910945808261073)*a^(10) + (436050378490569124)/(6376620657827511)*a^(9) - (1240291684380318385)/(6376620657827511)*a^(8) + (3552040995066224)/(9617829046497)*a^(7) - (2811752173788054815)/(6376620657827511)*a^(6) + (2429076164885870407)/(6376620657827511)*a^(5) - (201515402639909249)/(910945808261073)*a^(4) + (195402028103688986)/(2125540219275837)*a^(3) - (5701594527297499)/(205697440575081)*a^(2) + (67613979860152933)/(6376620657827511)*a - (310156494852965)/(163503093790449) , (13455314737)/(1202909009211)*a^(18) - (417320364653978)/(6376620657827511)*a^(17) + (2062331670127)/(10826181082899)*a^(16) - (2540291713698478)/(6376620657827511)*a^(15) + (171074452091567)/(236171135475093)*a^(14) - (1459095833579324)/(708513406425279)*a^(13) + (16162012989370876)/(6376620657827511)*a^(12) + (26009461504641737)/(6376620657827511)*a^(11) - (66497645055038902)/(6376620657827511)*a^(10) + (218714528745127)/(11246244546433)*a^(9) - (335627235539310475)/(6376620657827511)*a^(8) + (51167310173562230)/(490509281371347)*a^(7) - (807085943239191797)/(6376620657827511)*a^(6) + (658023089591675908)/(6376620657827511)*a^(5) - (357818598688314980)/(6376620657827511)*a^(4) + (169474452322956985)/(6376620657827511)*a^(3) - (57148219502629726)/(6376620657827511)*a^(2) + (17694201043015118)/(6376620657827511)*a - (66083690937298)/(163503093790449) , (16937366547733)/(490509281371347)*a^(18) - (23460542859694)/(163503093790449)*a^(17) + (145756569549205)/(490509281371347)*a^(16) - (1901706024365)/(3688039709559)*a^(15) + (146206426241815)/(163503093790449)*a^(14) - (102965607586154)/(25816277966913)*a^(13) - (219785116391108)/(490509281371347)*a^(12) + (94000856588617)/(5274293348079)*a^(11) - (88600545902782)/(28853487139491)*a^(10) + (15209520704782025)/(490509281371347)*a^(9) - (2340281143480505)/(23357584827207)*a^(8) + (2709811849609565)/(25816277966913)*a^(7) - (1345980023055047)/(23357584827207)*a^(6) + (5487404434834838)/(163503093790449)*a^(5) + (3879657280768078)/(163503093790449)*a^(4) + (4063873093204300)/(490509281371347)*a^(3) + (548894486626802)/(163503093790449)*a^(2) + (54398980492957)/(25816277966913)*a + (19617853485016)/(163503093790449) , (3868031664824)/(236171135475093)*a^(18) - (550987785580679)/(6376620657827511)*a^(17) + (1483586953815238)/(6376620657827511)*a^(16) - (2995609174001467)/(6376620657827511)*a^(15) + (1800634468836682)/(2125540219275837)*a^(14) - (180904802243278)/(68565813525027)*a^(13) + (15196809491754253)/(6376620657827511)*a^(12) + (43175909929926386)/(6376620657827511)*a^(11) - (68102850403567417)/(6376620657827511)*a^(10) + (5658396908700395)/(236171135475093)*a^(9) - (426618071002950172)/(6376620657827511)*a^(8) + (58362616781618012)/(490509281371347)*a^(7) - (835415329108805234)/(6376620657827511)*a^(6) + (96247620792116575)/(910945808261073)*a^(5) - (337755769826665409)/(6376620657827511)*a^(4) + (132697680932023780)/(6376620657827511)*a^(3) - (39429620843146582)/(6376620657827511)*a^(2) + (14090565622931129)/(6376620657827511)*a - (46560559594735)/(163503093790449) , (69808800468776)/(6376620657827511)*a^(18) - (20382668158714)/(303648602753691)*a^(17) + (1318073189326235)/(6376620657827511)*a^(16) - (2916781509945445)/(6376620657827511)*a^(15) + (1837901846794970)/(2125540219275837)*a^(14) - (14719437855773605)/(6376620657827511)*a^(13) + (20462664517707884)/(6376620657827511)*a^(12) + (6068547319614604)/(2125540219275837)*a^(11) - (67893816298738849)/(6376620657827511)*a^(10) + (145747148281551406)/(6376620657827511)*a^(9) - (128025721129789286)/(2125540219275837)*a^(8) + (59168382586760149)/(490509281371347)*a^(7) - (115887205879348108)/(708513406425279)*a^(6) + (343398580895486483)/(2125540219275837)*a^(5) - (26456159811917623)/(236171135475093)*a^(4) + (362961062935148726)/(6376620657827511)*a^(3) - (1905992114510710)/(101216200917897)*a^(2) + (25556056995830996)/(6376620657827511)*a - (347897599796)/(1373975578071) , (692169416333)/(375095332813383)*a^(18) - (389868425090)/(19741859621757)*a^(17) + (368860757847)/(4630806577943)*a^(16) - (72127033311722)/(375095332813383)*a^(15) + (5054714343976)/(13892419733829)*a^(14) - (41318761769557)/(53585047544769)*a^(13) + (75238005502880)/(41677259201487)*a^(12) - (230565562503739)/(375095332813383)*a^(11) - (72467233103978)/(12099849445593)*a^(10) + (515576976328333)/(53585047544769)*a^(9) - (7290888484510573)/(375095332813383)*a^(8) + (513804036766900)/(9617829046497)*a^(7) - (4510336221207191)/(53585047544769)*a^(6) + (29545014273728638)/(375095332813383)*a^(5) - (19756914600143534)/(375095332813383)*a^(4) + (915977055738694)/(41677259201487)*a^(3) - (2107918186050706)/(375095332813383)*a^(2) + (122343467780218)/(53585047544769)*a - (120957644636)/(506201528763) , (17895739046932)/(6376620657827511)*a^(18) - (12532030126960)/(708513406425279)*a^(17) + (337517889514153)/(6376620657827511)*a^(16) - (99711037125734)/(910945808261073)*a^(15) + (59026347612116)/(303648602753691)*a^(14) - (3397313341464629)/(6376620657827511)*a^(13) + (4775371382271604)/(6376620657827511)*a^(12) + (2357429878879181)/(2125540219275837)*a^(11) - (1283500465600012)/(375095332813383)*a^(10) + (32672687712445280)/(6376620657827511)*a^(9) - (9895722421603493)/(708513406425279)*a^(8) + (456836901338348)/(15822880044237)*a^(7) - (72062746533400958)/(2125540219275837)*a^(6) + (49856840931966758)/(2125540219275837)*a^(5) - (16347294924586949)/(2125540219275837)*a^(4) - (21172470182911772)/(6376620657827511)*a^(3) + (2786697482872027)/(708513406425279)*a^(2) - (6580921229482241)/(6376620657827511)*a - (5575991405114)/(23357584827207) , (568828490800)/(45874968761349)*a^(18) - (1151583513659)/(15291656253783)*a^(17) + (10361242869238)/(45874968761349)*a^(16) - (22312398516281)/(45874968761349)*a^(15) + (13889181015569)/(15291656253783)*a^(14) - (16300573345163)/(6553566965907)*a^(13) + (22048781188423)/(6553566965907)*a^(12) + (59972591542183)/(15291656253783)*a^(11) - (552036296910596)/(45874968761349)*a^(10) + (1057719019625864)/(45874968761349)*a^(9) - (997196873805541)/(15291656253783)*a^(8) + (26957915451007)/(207579044169)*a^(7) - (2530980260855437)/(15291656253783)*a^(6) + (794936454084718)/(5097218751261)*a^(5) - (1674613123928191)/(15291656253783)*a^(4) + (20185478456446)/(344924577153)*a^(3) - (397165404346162)/(15291656253783)*a^(2) + (425282332564615)/(45874968761349)*a - (2500078784984)/(1176281250291) ], 34462435.5384, []]