/* 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^16 - 2*x^15 + 4*x^13 - 2*x^12 + 7*x^10 - 20*x^9 - 11*x^8 + 28*x^7 + x^6 - 4*x^5 + 11*x^4 - 10*x^3 - 5*x^2 + 4*x - 1, 16, 1719, [2, 7], -26611481600000000, [2, 5, 11, 71], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, 1/451568881*a^15 + 63973102/451568881*a^14 - 23401248/451568881*a^13 + 165203913/451568881*a^12 + 57562393/451568881*a^11 + 74476692/451568881*a^10 + 93185451/451568881*a^9 - 101260923/451568881*a^8 - 46224956/451568881*a^7 - 8951414/451568881*a^6 + 112568999/451568881*a^5 - 127580274/451568881*a^4 - 57610694/451568881*a^3 + 46479677/451568881*a^2 - 12664345/451568881*a - 119188417/451568881], 0, 1, [], 0, [ (287220107)/(451568881)*a^(15) - (499478779)/(451568881)*a^(14) - (132150067)/(451568881)*a^(13) + (1135706127)/(451568881)*a^(12) - (268198474)/(451568881)*a^(11) - (87548330)/(451568881)*a^(10) + (1976721993)/(451568881)*a^(9) - (5120820145)/(451568881)*a^(8) - (4346845347)/(451568881)*a^(7) + (7076518419)/(451568881)*a^(6) + (2291342896)/(451568881)*a^(5) - (1010616206)/(451568881)*a^(4) + (2155247873)/(451568881)*a^(3) - (2366067936)/(451568881)*a^(2) - (1712042170)/(451568881)*a + (545422701)/(451568881) , (183162633)/(451568881)*a^(15) - (471571857)/(451568881)*a^(14) + (270038129)/(451568881)*a^(13) + (475934000)/(451568881)*a^(12) - (442504141)/(451568881)*a^(11) + (216599332)/(451568881)*a^(10) + (871529087)/(451568881)*a^(9) - (4039380386)/(451568881)*a^(8) + (212644899)/(451568881)*a^(7) + (4379750406)/(451568881)*a^(6) - (358862469)/(451568881)*a^(5) + (631137217)/(451568881)*a^(4) + (190115279)/(451568881)*a^(3) - (1843527188)/(451568881)*a^(2) - (394157631)/(451568881)*a - (189988438)/(451568881) , (48194269)/(451568881)*a^(15) - (224189734)/(451568881)*a^(14) + (334747337)/(451568881)*a^(13) - (59265003)/(451568881)*a^(12) - (293956184)/(451568881)*a^(11) + (289583928)/(451568881)*a^(10) - (7877578)/(451568881)*a^(9) - (1403075968)/(451568881)*a^(8) + (2339632499)/(451568881)*a^(7) + (830923627)/(451568881)*a^(6) - (1785133344)/(451568881)*a^(5) + (606156064)/(451568881)*a^(4) - (1506124754)/(451568881)*a^(3) - (340993011)/(451568881)*a^(2) + (1132867296)/(451568881)*a - (423341957)/(451568881) , (87801879)/(451568881)*a^(15) - (179444426)/(451568881)*a^(14) + (85577726)/(451568881)*a^(13) + (118037988)/(451568881)*a^(12) + (6560005)/(451568881)*a^(11) + (148823694)/(451568881)*a^(10) + (352608013)/(451568881)*a^(9) - (1606571250)/(451568881)*a^(8) - (562276545)/(451568881)*a^(7) + (604353665)/(451568881)*a^(6) + (655058139)/(451568881)*a^(5) + (1477725934)/(451568881)*a^(4) + (209812768)/(451568881)*a^(3) - (210409745)/(451568881)*a^(2) - (140214473)/(451568881)*a - (394658058)/(451568881) , (108945760)/(451568881)*a^(15) - (335787227)/(451568881)*a^(14) + (388472439)/(451568881)*a^(13) + (71792252)/(451568881)*a^(12) - (438563536)/(451568881)*a^(11) + (558149073)/(451568881)*a^(10) + (389855547)/(451568881)*a^(9) - (2592228539)/(451568881)*a^(8) + (1961141143)/(451568881)*a^(7) + (1294893866)/(451568881)*a^(6) - (2952802306)/(451568881)*a^(5) + (1789578812)/(451568881)*a^(4) - (69988812)/(451568881)*a^(3) - (999083395)/(451568881)*a^(2) + (1383769010)/(451568881)*a + (27853864)/(451568881) , (105105092)/(451568881)*a^(15) - (250209501)/(451568881)*a^(14) + (155302911)/(451568881)*a^(13) + (253956015)/(451568881)*a^(12) - (289739842)/(451568881)*a^(11) + (296143933)/(451568881)*a^(10) + (539321877)/(451568881)*a^(9) - (2188684415)/(451568881)*a^(8) + (107042196)/(451568881)*a^(7) + (1862150126)/(451568881)*a^(6) - (1123868856)/(451568881)*a^(5) + (1033570911)/(451568881)*a^(4) + (597620233)/(451568881)*a^(3) - (700288473)/(451568881)*a^(2) + (637903436)/(451568881)*a - (335913138)/(451568881) , (316101937)/(451568881)*a^(15) - (700179126)/(451568881)*a^(14) + (273758651)/(451568881)*a^(13) + (971165143)/(451568881)*a^(12) - (752259790)/(451568881)*a^(11) + (444540747)/(451568881)*a^(10) + (1995306488)/(451568881)*a^(9) - (6479686305)/(451568881)*a^(8) - (1367980565)/(451568881)*a^(7) + (6977998681)/(451568881)*a^(6) - (1936279448)/(451568881)*a^(5) + (503883226)/(451568881)*a^(4) + (2965880649)/(451568881)*a^(3) - (2787109254)/(451568881)*a^(2) - (377783520)/(451568881)*a + (520699146)/(451568881) , (38311620)/(451568881)*a^(15) + (42404809)/(451568881)*a^(14) - (283390932)/(451568881)*a^(13) + (363211532)/(451568881)*a^(12) + (97091081)/(451568881)*a^(11) - (146787088)/(451568881)*a^(10) + (529378741)/(451568881)*a^(9) - (201817208)/(451568881)*a^(8) - (2755211588)/(451568881)*a^(7) + (1266613651)/(451568881)*a^(6) + (1598424381)/(451568881)*a^(5) - (572751425)/(451568881)*a^(4) + (1297332280)/(451568881)*a^(3) - (486699850)/(451568881)*a^(2) - (1131154045)/(451568881)*a + (212814702)/(451568881) ], 34.2967522472, [[x^2 - x - 1, 1], [x^4 - 7*x^2 + 11, 1], [x^4 - x^2 - 1, 1], [x^4 - x^3 + 2*x - 1, 1], [x^8 - 3*x^6 + 3*x^4 - 3*x^2 + 1, 1]]]