/* 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^14 - 14*x^13 - 6*x^12 - 21*x^11 + 45*x^10 + 43*x^9 + 120*x^8 + 96*x^7 + 142*x^6 + 99*x^5 + 101*x^4 + 58*x^3 + 61*x^2 + 5*x + 25, 16, 13, [0, 8], 1257791680575160641, [3, 61], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/3*a^10 + 1/3*a^9 - 1/3*a^6 + 1/3*a^3 + 1/3*a^2 + 1/3, 1/3*a^11 - 1/3*a^9 - 1/3*a^7 + 1/3*a^6 + 1/3*a^4 - 1/3*a^2 + 1/3*a - 1/3, 1/15*a^12 + 2/15*a^11 + 1/3*a^9 - 4/15*a^8 - 4/15*a^7 + 1/15*a^6 - 1/3*a^5 + 1/3*a^4 - 1/5*a^3 + 2/5*a^2 + 4/15*a + 1/3, 1/15*a^13 + 1/15*a^11 + 2/5*a^9 + 4/15*a^8 + 4/15*a^7 + 1/5*a^6 + 7/15*a^4 + 7/15*a^3 - 1/5*a^2 + 2/15*a - 1/3, 1/75*a^14 - 2/75*a^13 + 2/75*a^12 + 1/75*a^10 - 8/75*a^9 + 7/75*a^8 + 7/25*a^7 + 2/5*a^6 + 32/75*a^5 + 28/75*a^4 - 2/15*a^3 - 7/25*a^2 - 7/15*a + 1/3, 1/9872393925*a^15 - 19826417/9872393925*a^14 + 203152627/9872393925*a^13 + 40241498/1974478785*a^12 - 468608088/3290797975*a^11 + 138242302/9872393925*a^10 - 3917269453/9872393925*a^9 - 2680251434/9872393925*a^8 + 153332831/658159595*a^7 + 2051900287/9872393925*a^6 - 3533256202/9872393925*a^5 - 49302958/1974478785*a^4 - 3003669316/9872393925*a^3 + 294097111/658159595*a^2 - 97023181/1974478785*a + 20342232/131631919], 0, 1, [], 0, [ (209790577)/(9872393925)*a^(15) + (8551433)/(394895757)*a^(14) + (89113947)/(3290797975)*a^(13) - (818856734)/(3290797975)*a^(12) - (4837951873)/(9872393925)*a^(11) - (3726052612)/(9872393925)*a^(10) + (5205755177)/(9872393925)*a^(9) + (1660434946)/(658159595)*a^(8) + (10924036238)/(3290797975)*a^(7) + (40985338559)/(9872393925)*a^(6) + (21617152834)/(9872393925)*a^(5) + (12499341157)/(9872393925)*a^(4) + (2294709938)/(9872393925)*a^(3) + (6968601926)/(9872393925)*a^(2) + (686448157)/(1974478785)*a + (201515350)/(394895757) , (60479603)/(9872393925)*a^(15) - (102697496)/(9872393925)*a^(14) - (222371609)/(9872393925)*a^(13) - (16423231)/(131631919)*a^(12) + (337089856)/(3290797975)*a^(11) + (3902665286)/(9872393925)*a^(10) + (10214244496)/(9872393925)*a^(9) - (1886556242)/(9872393925)*a^(8) - (203392527)/(131631919)*a^(7) - (36305535134)/(9872393925)*a^(6) - (25633136746)/(9872393925)*a^(5) - (4428506698)/(1974478785)*a^(4) - (2986819006)/(3290797975)*a^(3) - (266181185)/(394895757)*a^(2) - (1427564284)/(1974478785)*a - (112420221)/(131631919) , (69707023)/(3290797975)*a^(15) - (657188651)/(9872393925)*a^(14) + (20360323)/(3290797975)*a^(13) - (3797310416)/(9872393925)*a^(12) + (7257198869)/(9872393925)*a^(11) + (385034974)/(658159595)*a^(10) + (19222183142)/(9872393925)*a^(9) - (16670429012)/(9872393925)*a^(8) - (32381242823)/(9872393925)*a^(7) - (58694657482)/(9872393925)*a^(6) - (46406626259)/(9872393925)*a^(5) - (13701643523)/(3290797975)*a^(4) - (9878277463)/(3290797975)*a^(3) - (10664291749)/(3290797975)*a^(2) - (447728573)/(658159595)*a - (559963727)/(394895757) , (50345183)/(3290797975)*a^(15) - (172390366)/(9872393925)*a^(14) + (389283899)/(9872393925)*a^(13) - (933342172)/(3290797975)*a^(12) + (1347355904)/(9872393925)*a^(11) - (659515852)/(1974478785)*a^(10) + (14173390252)/(9872393925)*a^(9) + (1330830811)/(3290797975)*a^(8) + (4952973549)/(3290797975)*a^(7) - (19792493582)/(9872393925)*a^(6) - (5152184718)/(3290797975)*a^(5) - (32019463289)/(9872393925)*a^(4) - (3933565643)/(3290797975)*a^(3) - (25493734937)/(9872393925)*a^(2) + (37733593)/(1974478785)*a - (384542399)/(394895757) , (195988622)/(9872393925)*a^(15) - (28788337)/(1974478785)*a^(14) + (204847766)/(9872393925)*a^(13) - (2813761087)/(9872393925)*a^(12) + (274077002)/(9872393925)*a^(11) - (586415717)/(9872393925)*a^(10) + (10087594222)/(9872393925)*a^(9) + (429186457)/(658159595)*a^(8) + (11626188704)/(9872393925)*a^(7) + (2899099789)/(9872393925)*a^(6) - (4493903996)/(9872393925)*a^(5) - (7987571996)/(3290797975)*a^(4) - (7994201469)/(3290797975)*a^(3) - (7280341878)/(3290797975)*a^(2) - (1255471676)/(1974478785)*a - (529018535)/(394895757) , (222923024)/(9872393925)*a^(15) - (299461141)/(9872393925)*a^(14) + (123575044)/(9872393925)*a^(13) - (3440119531)/(9872393925)*a^(12) + (2145169994)/(9872393925)*a^(11) + (527177543)/(1974478785)*a^(10) + (4780114699)/(3290797975)*a^(9) + (1798298323)/(9872393925)*a^(8) - (11235322813)/(9872393925)*a^(7) - (6869472904)/(3290797975)*a^(6) - (20295569429)/(9872393925)*a^(5) - (4642873424)/(9872393925)*a^(4) - (3357518044)/(9872393925)*a^(3) - (3183247687)/(9872393925)*a^(2) + (199578038)/(658159595)*a + (170570158)/(394895757) , (3794219)/(9872393925)*a^(15) + (294042149)/(9872393925)*a^(14) - (158531641)/(9872393925)*a^(13) + (430667524)/(9872393925)*a^(12) - (1335459837)/(3290797975)*a^(11) - (59993228)/(1974478785)*a^(10) - (927355281)/(3290797975)*a^(9) + (3748161396)/(3290797975)*a^(8) + (11068708352)/(9872393925)*a^(7) + (7371255201)/(3290797975)*a^(6) + (6077208047)/(3290797975)*a^(5) + (20174718461)/(9872393925)*a^(4) + (13634596546)/(9872393925)*a^(3) + (17601859198)/(9872393925)*a^(2) + (271528318)/(658159595)*a + (206034284)/(394895757) ], 809.594531745, [[x^2 - x + 46, 1], [x^2 - x - 15, 1], [x^2 - x + 1, 1], [x^4 - x^3 + 16*x^2 + 15*x + 225, 1], [x^4 - 7*x^2 - 3, 2], [x^4 - 2*x^3 - 2*x^2 + 3*x + 3, 2], [x^8 + 7*x^6 + 52*x^4 - 21*x^2 + 9, 1], [x^8 - 2*x^6 - 7*x^5 + 10*x^4 + 7*x^3 - 12*x^2 - x + 5, 4], [x^8 + 5*x^4 - 9*x^3 + 6*x^2 - 3*x + 1, 4]]]