/* 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 - 5*x^18 + 10*x^17 - 5*x^16 + 9*x^15 - 42*x^14 + 51*x^13 - 6*x^12 - 23*x^11 + 4*x^10 - 29*x^9 + 112*x^8 - 63*x^7 - 147*x^6 + 183*x^5 + 15*x^4 - 77*x^3 - 17*x^2 + 37*x + 1, 19, 2, [1, 9], -467562425055097089773569879, [919], [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 + 2/9*a^7 + 2/9*a^6 + 2/9*a^5 + 2/9*a^4 + 2/9*a^3 + 2/9*a^2 + 2/9*a + 2/9, 1/9*a^16 + 1/9*a^8 - 2/9, 1/63*a^17 + 1/63*a^16 - 1/63*a^15 - 1/9*a^14 + 5/63*a^13 + 2/63*a^12 - 1/63*a^11 - 4/63*a^10 - 1/7*a^9 - 1/21*a^8 - 20/63*a^7 + 22/63*a^6 + 10/63*a^5 + 22/63*a^4 - 2/63*a^3 + 4/9*a^2 - 22/63*a + 26/63, 1/1681146971469*a^18 - 12482114905/1681146971469*a^17 - 26042434111/560382323823*a^16 + 1134363586/88481419551*a^15 - 142234021442/1681146971469*a^14 + 119912754793/1681146971469*a^13 + 198152955184/1681146971469*a^12 + 230017054447/1681146971469*a^11 + 53305188299/1681146971469*a^10 - 15535359472/186794107941*a^9 + 11712170908/240163853067*a^8 + 16274440718/88481419551*a^7 + 814706226419/1681146971469*a^6 - 36869152762/88481419551*a^5 - 418133673766/1681146971469*a^4 - 396229955110/1681146971469*a^3 - 174508750715/560382323823*a^2 + 66551965369/240163853067*a - 310401455248/1681146971469], 0, 1, [], 0, [ (19319542178)/(560382323823)*a^(18) - (69483020147)/(560382323823)*a^(17) + (12099012913)/(80054617689)*a^(16) + (4362360565)/(29493806517)*a^(15) + (120964954798)/(560382323823)*a^(14) - (54660548189)/(80054617689)*a^(13) + (28371479002)/(560382323823)*a^(12) + (604326590950)/(560382323823)*a^(11) - (85591400178)/(62264702647)*a^(10) + (555175514192)/(560382323823)*a^(9) - (970324809529)/(560382323823)*a^(8) + (60720010541)/(29493806517)*a^(7) + (1050500602406)/(560382323823)*a^(6) - (163239325471)/(29493806517)*a^(5) + (1793772988358)/(560382323823)*a^(4) + (896598919736)/(560382323823)*a^(3) - (1618889035511)/(560382323823)*a^(2) + (535438646471)/(186794107941)*a - (92475819169)/(62264702647) , (31371385021)/(1681146971469)*a^(18) - (154494778117)/(1681146971469)*a^(17) + (121858645591)/(560382323823)*a^(16) - (19875218684)/(88481419551)*a^(15) + (599719357600)/(1681146971469)*a^(14) - (1147448093585)/(1681146971469)*a^(13) + (302579301886)/(240163853067)*a^(12) - (2015185738283)/(1681146971469)*a^(11) - (66822787768)/(1681146971469)*a^(10) + (314630136062)/(560382323823)*a^(9) - (1829036473826)/(1681146971469)*a^(8) + (183899948894)/(88481419551)*a^(7) - (498166056808)/(240163853067)*a^(6) - (34779189583)/(88481419551)*a^(5) + (6458031278882)/(1681146971469)*a^(4) - (5539994046997)/(1681146971469)*a^(3) - (134219627810)/(186794107941)*a^(2) + (1953017817580)/(1681146971469)*a + (2013577101266)/(1681146971469) , (60635750449)/(1681146971469)*a^(18) - (278425479643)/(1681146971469)*a^(17) + (62077652008)/(186794107941)*a^(16) - (14104133339)/(88481419551)*a^(15) + (639680700265)/(1681146971469)*a^(14) - (2071590800549)/(1681146971469)*a^(13) + (3224509064131)/(1681146971469)*a^(12) - (1302069263)/(240163853067)*a^(11) - (172919541511)/(240163853067)*a^(10) + (39263352433)/(560382323823)*a^(9) - (2038426108181)/(1681146971469)*a^(8) + (323249445566)/(88481419551)*a^(7) - (4218001657213)/(1681146971469)*a^(6) - (435596630887)/(88481419551)*a^(5) + (10444333500980)/(1681146971469)*a^(4) + (1641323153009)/(1681146971469)*a^(3) - (1609164316933)/(560382323823)*a^(2) - (2441632582604)/(1681146971469)*a + (1013431653578)/(1681146971469) , (39150398017)/(1681146971469)*a^(18) - (226443303097)/(1681146971469)*a^(17) + (179539836769)/(560382323823)*a^(16) - (3229432415)/(12640202793)*a^(15) + (273281689171)/(1681146971469)*a^(14) - (1595044900919)/(1681146971469)*a^(13) + (3138122104765)/(1681146971469)*a^(12) - (996716121287)/(1681146971469)*a^(11) - (2323870036144)/(1681146971469)*a^(10) + (740113847456)/(560382323823)*a^(9) - (1476473857058)/(1681146971469)*a^(8) + (234917089619)/(88481419551)*a^(7) - (6387865947790)/(1681146971469)*a^(6) - (321325943314)/(88481419551)*a^(5) + (16699378226189)/(1681146971469)*a^(4) - (639171990283)/(240163853067)*a^(3) - (1035962591431)/(186794107941)*a^(2) + (4166723064631)/(1681146971469)*a + (270088816418)/(240163853067) , (20182062160)/(1681146971469)*a^(18) - (141752453890)/(1681146971469)*a^(17) + (12205326983)/(80054617689)*a^(16) - (631870802)/(88481419551)*a^(15) - (135803881166)/(1681146971469)*a^(14) - (255808423238)/(240163853067)*a^(13) + (889920344818)/(1681146971469)*a^(12) + (1450810358314)/(1681146971469)*a^(11) + (315080864267)/(1681146971469)*a^(10) - (147209494961)/(560382323823)*a^(9) - (278841716771)/(1681146971469)*a^(8) + (203522673458)/(88481419551)*a^(7) - (114082882966)/(1681146971469)*a^(6) - (452592882079)/(88481419551)*a^(5) - (73165204204)/(1681146971469)*a^(4) + (5764772987825)/(1681146971469)*a^(3) + (595560840401)/(560382323823)*a^(2) - (3531428229101)/(1681146971469)*a - (1667683307131)/(1681146971469) , (59847194228)/(1681146971469)*a^(18) - (281882957276)/(1681146971469)*a^(17) + (169151699296)/(560382323823)*a^(16) - (986954965)/(12640202793)*a^(15) + (507715333238)/(1681146971469)*a^(14) - (2443957375882)/(1681146971469)*a^(13) + (2189037750008)/(1681146971469)*a^(12) + (355545056519)/(1681146971469)*a^(11) - (747273776213)/(1681146971469)*a^(10) + (30765020843)/(560382323823)*a^(9) - (2064859245754)/(1681146971469)*a^(8) + (279782907175)/(88481419551)*a^(7) - (1355525174498)/(1681146971469)*a^(6) - (479325975938)/(88481419551)*a^(5) + (5677740221518)/(1681146971469)*a^(4) + (359606683756)/(240163853067)*a^(3) + (54475195774)/(560382323823)*a^(2) - (1307025971719)/(1681146971469)*a - (130947599165)/(240163853067) , (244462039)/(17331412077)*a^(18) - (1639014691)/(17331412077)*a^(17) + (1563553666)/(5777137359)*a^(16) - (336597353)/(912179583)*a^(15) + (6802442851)/(17331412077)*a^(14) - (16948780874)/(17331412077)*a^(13) + (4813625533)/(2475916011)*a^(12) - (34029151796)/(17331412077)*a^(11) + (12699830936)/(17331412077)*a^(10) - (1636234289)/(5777137359)*a^(9) - (419765498)/(17331412077)*a^(8) + (1775899352)/(912179583)*a^(7) - (9460383745)/(2475916011)*a^(6) + (844263803)/(912179583)*a^(5) + (79620539438)/(17331412077)*a^(4) - (61886457076)/(17331412077)*a^(3) - (1303300412)/(5777137359)*a^(2) + (4650098701)/(17331412077)*a + (16970468687)/(17331412077) , (22180601329)/(1681146971469)*a^(18) - (46385971783)/(1681146971469)*a^(17) + (2128912871)/(80054617689)*a^(16) - (1685300051)/(88481419551)*a^(15) + (685919911744)/(1681146971469)*a^(14) - (21597646931)/(240163853067)*a^(13) - (7938937379)/(1681146971469)*a^(12) - (1411345656410)/(1681146971469)*a^(11) + (1152402719732)/(1681146971469)*a^(10) + (6964977356)/(560382323823)*a^(9) - (1245677731217)/(1681146971469)*a^(8) - (10386481621)/(88481419551)*a^(7) + (879719857400)/(1681146971469)*a^(6) + (148418284676)/(88481419551)*a^(5) - (1061257916668)/(1681146971469)*a^(4) - (5015940806152)/(1681146971469)*a^(3) + (1120848423173)/(560382323823)*a^(2) + (2497906017004)/(1681146971469)*a + (391203203990)/(1681146971469) , a ], 1152808.1284, []]