/* 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^27 - 999*x^25 + 443556*x^23 - 115336881*x^21 + 19481903595*x^19 - 2241127346283*x^17 + 179005600103112*x^15 - 9934810805722716*x^13 + 377261368227838926*x^11 - 9478109683254965610*x^9 + 148527554095242519912*x^7 - 1311430790136402704223*x^5 + 5391437692782988895139*x^3 - 6576369053834195245719*x - 894239309602828075753, 27, 1, [27, 0], 11940677720052639937823094663962830546187812969131075398124270924891510801, [3, 37], [1, a, a^2, 1/37*a^3, 1/37*a^4, 1/37*a^5, 1/1369*a^6, 1/1369*a^7, 1/1369*a^8, 1/50653*a^9, 1/50653*a^10, 1/50653*a^11, 1/1874161*a^12, 1/1874161*a^13, 1/23520576239603*a^14 - 3487439/23520576239603*a^13 - 14/635691249719*a^12 - 4862985/635691249719*a^11 + 77/17180844587*a^10 - 3942231/635691249719*a^9 - 210/464347151*a^8 - 578584/17180844587*a^7 + 294/12549923*a^6 - 3508293/464347151*a^5 - 7252/12549923*a^4 - 4121156/464347151*a^3 + 67081/12549923*a^2 + 5967275/12549923*a - 101306/12549923, 1/870261320865311*a^15 - 15/23520576239603*a^13 - 3487439/23520576239603*a^12 + 90/635691249719*a^11 + 4199499/635691249719*a^10 - 275/17180844587*a^9 - 72861/17180844587*a^8 + 450/464347151*a^7 - 5564080/17180844587*a^6 - 378/12549923*a^5 + 5216325/464347151*a^4 + 5180/12549923*a^3 + 1797238/12549923*a^2 - 20535/12549923*a + 1883421/12549923, 1/870261320865311*a^16 - 5599332/23520576239603*a^13 - 120/635691249719*a^12 - 5995661/635691249719*a^11 + 880/17180844587*a^10 + 920293/635691249719*a^9 - 2700/464347151*a^8 - 1692917/17180844587*a^7 + 4032/12549923*a^6 + 2791622/464347151*a^5 - 103600/12549923*a^4 + 4680466/464347151*a^3 + 985680/12549923*a^2 + 3543085/12549923*a - 1519590/12549923, 1/870261320865311*a^17 - 136/635691249719*a^13 + 2637394/23520576239603*a^12 + 1088/17180844587*a^11 + 2465028/635691249719*a^10 - 3740/464347151*a^9 + 2080484/17180844587*a^8 - 3613091/17180844587*a^7 + 3207257/17180844587*a^6 + 4730195/464347151*a^5 - 3897234/464347151*a^4 - 2728379/464347151*a^3 + 5687510/12549923*a^2 + 494509/12549923*a - 1957915/12549923, 1/32199668872016507*a^18 + 6068522/23520576239603*a^13 - 816/635691249719*a^12 - 3615535/635691249719*a^11 + 6732/17180844587*a^10 + 5583757/635691249719*a^9 - 22032/464347151*a^8 + 4160913/17180844587*a^7 - 3281324/17180844587*a^6 + 1699018/464347151*a^5 + 4136649/464347151*a^4 - 2593094/464347151*a^3 - 3752729/12549923*a^2 + 839295/12549923*a - 1227693/12549923, 1/32199668872016507*a^19 - 969/635691249719*a^13 - 2261919/23520576239603*a^12 + 8721/17180844587*a^11 - 22350/5941039717*a^10 - 6126744/635691249719*a^9 - 6033781/17180844587*a^8 + 4294122/17180844587*a^7 - 3917535/17180844587*a^6 + 3665244/464347151*a^5 + 94630/464347151*a^4 + 1644211/464347151*a^3 + 167364/12549923*a^2 - 1577126/12549923*a - 5388269/12549923, 1/32199668872016507*a^20 - 2529537/23520576239603*a^13 + 5917118/23520576239603*a^12 + 1087584/635691249719*a^11 - 4380931/635691249719*a^10 - 926500/635691249719*a^9 + 1814618/17180844587*a^8 - 2866968/17180844587*a^7 - 4516017/17180844587*a^6 + 5143930/464347151*a^5 - 5335143/464347151*a^4 + 629879/464347151*a^3 - 6107249/12549923*a^2 + 784925/12549923*a - 5196271/12549923, 1/1191387748264610759*a^21 - 5985/635691249719*a^13 + 3323835/23520576239603*a^12 + 57456/17180844587*a^11 - 4353524/635691249719*a^10 + 771102/635691249719*a^9 + 24441/464347151*a^8 - 2908935/17180844587*a^7 - 533723/17180844587*a^6 - 1641452/464347151*a^5 + 1427816/464347151*a^4 + 2767157/464347151*a^3 + 1618842/12549923*a^2 + 4551790/12549923*a + 1685190/12549923, 1/1191387748264610759*a^22 - 543792/23520576239603*a^13 + 1598523/23520576239603*a^12 - 4274065/635691249719*a^11 + 4171757/635691249719*a^10 + 6209891/635691249719*a^9 - 4197134/17180844587*a^8 - 2903696/17180844587*a^7 + 975015/17180844587*a^6 - 2082177/464347151*a^5 - 4905541/464347151*a^4 + 5607756/464347151*a^3 + 195003/12549923*a^2 + 5855126/12549923*a + 5555154/12549923, 1/1191387748264610759*a^23 + 4134211/23520576239603*a^13 - 577356/23520576239603*a^12 - 99793/17180844587*a^11 - 717153/635691249719*a^10 - 5627820/635691249719*a^9 + 1156515/17180844587*a^8 - 1805903/17180844587*a^7 - 3731219/17180844587*a^6 + 2522171/464347151*a^5 - 1432054/464347151*a^4 - 4698331/464347151*a^3 + 1340117/12549923*a^2 + 3671382/12549923*a + 4769618/12549923, 1/44081346685790598083*a^24 + 3181296/23520576239603*a^13 + 3986921/23520576239603*a^12 - 2911755/635691249719*a^11 + 5437338/635691249719*a^10 - 3401264/635691249719*a^9 + 5921873/17180844587*a^8 - 1847772/17180844587*a^7 - 3050978/17180844587*a^6 - 996774/464347151*a^5 - 3986728/464347151*a^4 - 6035437/464347151*a^3 - 4617221/12549923*a^2 - 1579393/12549923*a - 560828/12549923, 1/44081346685790598083*a^25 - 4001363/23520576239603*a^13 - 3464136/23520576239603*a^12 - 3664277/635691249719*a^11 - 158626/17180844587*a^10 - 4680220/635691249719*a^9 + 6023761/17180844587*a^8 - 3092832/17180844587*a^7 + 4661196/17180844587*a^6 + 4428717/464347151*a^5 + 3919776/464347151*a^4 + 6050050/464347151*a^3 + 5344246/12549923*a^2 - 2523432/12549923*a + 2349936/12549923, 1/44081346685790598083*a^26 - 2461333/23520576239603*a^13 + 502165/23520576239603*a^12 + 6194245/635691249719*a^11 - 127117/635691249719*a^10 - 863458/635691249719*a^9 + 5025852/17180844587*a^8 + 1996783/17180844587*a^7 - 666873/17180844587*a^6 + 4936604/464347151*a^5 + 2787011/464347151*a^4 + 3226862/464347151*a^3 - 4845153/12549923*a^2 + 3244421/12549923*a + 432822/12549923], 0, 0,0,0,0,0, [[x^3 - 3*x - 1, 1], [x^9 - 9*x^7 + 27*x^5 - 30*x^3 + 9*x - 1, 1]]]