/* 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^20 + 520*x^18 + 78000*x^16 + 4394000*x^14 + 117488800*x^12 + 1620155680*x^10 + 11603675200*x^8 + 41127840000*x^6 + 68546400000*x^4 + 47525504000*x^2 + 9505100800, 20, 1, [0, 10], 31991183133806723125000000000000000000000000000000, [2, 5, 13], [1, a, 1/2*a^2, 1/2*a^3, 1/52*a^4, 1/52*a^5, 1/104*a^6, 1/104*a^7, 1/2704*a^8, 1/2704*a^9, 1/81120*a^10 - 1/8112*a^8 - 1/312*a^6 - 1/156*a^4 + 1/6*a^2 - 1/3, 1/81120*a^11 - 1/8112*a^9 - 1/312*a^7 - 1/156*a^5 + 1/6*a^3 - 1/3*a, 1/14763840*a^12 - 3/728*a^6 - 1/156*a^4 + 1/6*a^2 + 10/21, 1/14763840*a^13 - 3/728*a^7 - 1/156*a^5 + 1/6*a^3 + 10/21*a, 1/29527680*a^14 + 3/18928*a^8 - 1/312*a^6 + 1/156*a^4 + 5/21*a^2, 1/29527680*a^15 + 3/18928*a^9 - 1/312*a^7 + 1/156*a^5 + 5/21*a^3, 1/231083623680*a^16 - 19/1777566336*a^14 - 11/1481305280*a^12 + 41/56973280*a^10 - 1103/8545992*a^8 + 631/219128*a^6 + 1949/328692*a^4 + 2809/12642*a^2 + 660/2107, 1/231083623680*a^17 - 19/1777566336*a^15 - 11/1481305280*a^13 + 41/56973280*a^11 - 1103/8545992*a^9 + 631/219128*a^7 + 1949/328692*a^5 + 2809/12642*a^3 + 660/2107*a, 1/65812153856816640*a^18 + 155/3290607692840832*a^16 - 3762131/316404585850080*a^14 + 1421983/126561834340032*a^12 + 2466019/624072161440*a^10 - 110462509/811293809872*a^8 - 4478065/1114414574*a^6 + 290931377/46805412108*a^4 + 207068710/900104079*a^2 - 43356448/300034693, 1/65812153856816640*a^19 + 155/3290607692840832*a^17 - 3762131/316404585850080*a^15 + 1421983/126561834340032*a^13 + 2466019/624072161440*a^11 - 110462509/811293809872*a^9 - 4478065/1114414574*a^7 + 290931377/46805412108*a^5 + 207068710/900104079*a^3 - 43356448/300034693*a], 1, 524900228, [2, 262450114], 1, [ (47521)/(111925431729280)*a^(18) + (562553)/(2582894578368)*a^(16) + (10200845)/(322861822296)*a^(14) + (163653443)/(99342099168)*a^(12) + (19281435347)/(496710495840)*a^(10) + (139748719)/(318404164)*a^(8) + (2199895235)/(955212492)*a^(6) + (357553825)/(73477884)*a^(4) + (70307185)/(18369471)*a^(2) + (25154202)/(6123157) , (2559023)/(5484346154734720)*a^(18) + (1314123381)/(5484346154734720)*a^(16) + (14701250493)/(421872781133440)*a^(14) + (13760037521)/(7533442520240)*a^(12) + (35085688665)/(811293809872)*a^(10) + (394599017391)/(811293809872)*a^(8) + (18792996071)/(7800902018)*a^(6) + (55215074337)/(15601804036)*a^(4) - (15618930)/(6977551)*a^(2) - (1285943818)/(300034693) , (15136713)/(21937384618938880)*a^(18) + (15249891)/(42846454333865)*a^(16) + (11042070489)/(210936390566720)*a^(14) + (12139743433)/(4304824297280)*a^(12) + (7121750955)/(101411726234)*a^(10) + (352702152597)/(405646904936)*a^(8) + (41276173773)/(7800902018)*a^(6) + (111636716241)/(7800902018)*a^(4) + (4285038750)/(300034693)*a^(2) + (523545448)/(300034693) , (37865119)/(21937384618938880)*a^(18) + (152901667)/(171385817335460)*a^(16) + (13907494751)/(105468195283360)*a^(14) + (1189354471)/(165570165280)*a^(12) + (36903751335)/(202823452468)*a^(10) + (233826774359)/(101411726234)*a^(8) + (449963939701)/(31203608072)*a^(6) + (156079624769)/(3900451009)*a^(4) + (12321855130)/(300034693)*a^(2) + (2331028683)/(300034693) , (11364203)/(10968692309469440)*a^(18) + (91902103)/(171385817335460)*a^(16) + (16772919013)/(210936390566720)*a^(14) + (18783472813)/(4304824297280)*a^(12) + (22660249425)/(202823452468)*a^(10) + (582604944839)/(405646904936)*a^(8) + (284859244609)/(31203608072)*a^(6) + (200522533297)/(7800902018)*a^(4) + (8036816380)/(300034693)*a^(2) + (2107517928)/(300034693) , (47678611)/(10968692309469440)*a^(18) + (773184647)/(342771634670920)*a^(16) + (5072060379)/(15066885040480)*a^(14) + (395271730327)/(21093639056672)*a^(12) + (918369652477)/(1872216484320)*a^(10) + (2264043390185)/(347697347088)*a^(8) + (507298786105)/(11701353027)*a^(6) + (3078301355929)/(23402706054)*a^(4) + (40149440437)/(257172594)*a^(2) + (39068408453)/(900104079) , (51922397)/(32906076928408320)*a^(18) + (345041939)/(421872781133440)*a^(16) + (5501343283)/(45200655121440)*a^(14) + (4257404073253)/(632809171700160)*a^(12) + (2114730083537)/(12169407148080)*a^(10) + (781574663095)/(347697347088)*a^(8) + (34060969195)/(2400277544)*a^(6) + (149098756654)/(3900451009)*a^(4) + (4644662377)/(128586297)*a^(2) + (8320898857)/(900104079) , (33888973)/(32906076928408320)*a^(18) + (8867947553)/(16453038464204160)*a^(16) + (3462628139)/(42187278113344)*a^(14) + (75466451623)/(15820229292504)*a^(12) + (3230430239039)/(24338814296160)*a^(10) + (1159330490155)/(608470357404)*a^(8) + (33497587923)/(2400277544)*a^(6) + (187841398526)/(3900451009)*a^(4) + (129874447621)/(1800208158)*a^(2) + (678905518)/(18369471) , (168839)/(4387476923787776)*a^(18) + (124512389)/(6581215385681664)*a^(16) + (516469019)/(210936390566720)*a^(14) + (2220949013)/(24338814296160)*a^(12) + (6143086707)/(8112938098720)*a^(10) - (2842894111)/(187221648432)*a^(8) - (22682888057)/(93610824216)*a^(6) - (12051652279)/(15601804036)*a^(4) + (42214577)/(900104079)*a^(2) + (1460225464)/(900104079) ], 47804543.59281621, [[x^2 - x - 3, 1], [x^4 + 130*x^2 + 1300, 1], [x^5 - 10*x^3 - 5*x^2 + 10*x - 1, 1], [x^10 - 5*x^9 - 25*x^8 + 120*x^7 + 150*x^6 - 808*x^5 - 110*x^4 + 1385*x^3 + 135*x^2 - 485*x - 101, 1]]]