/* 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 - 19*x^14 + 240*x^12 - 1741*x^10 + 9219*x^8 - 29161*x^6 + 63200*x^4 - 33759*x^2 + 14641, 16, 2, [0, 8], 605165749776000000000000, [2, 3, 5, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/11*a^9 + 1/11*a^7 + 3/11*a^5 - 2/11*a^3 + 4/11*a, 1/11*a^10 + 1/11*a^8 + 3/11*a^6 - 2/11*a^4 + 4/11*a^2, 1/11*a^11 + 2/11*a^7 - 5/11*a^5 - 5/11*a^3 - 4/11*a, 1/11*a^12 + 2/11*a^8 - 5/11*a^6 - 5/11*a^4 - 4/11*a^2, 1/11*a^13 + 4/11*a^7 + 3/11*a, 1/11137467154979*a^14 - 399578710000/11137467154979*a^12 + 124755454976/11137467154979*a^10 + 4072809174926/11137467154979*a^8 - 3879007553519/11137467154979*a^6 + 494941678642/1012497014089*a^4 + 3589762146041/11137467154979*a^2 - 10630726872/92045183099, 1/122512138704769*a^15 + 2637912332267/122512138704769*a^13 + 124755454976/122512138704769*a^11 - 989675895519/122512138704769*a^9 - 7928995609875/122512138704769*a^7 - 356657010010/1012497014089*a^5 + 2577265131952/122512138704769*a^3 - 470856642367/1012497014089*a], 1, 8, [2, 2, 2], 1, [ (2211)/(21019681)*a^(14) - (432308)/(231216491)*a^(12) + (4795860)/(231216491)*a^(10) - (29346000)/(231216491)*a^(8) + (116003123)/(231216491)*a^(6) - (234575241)/(231216491)*a^(4) + (11452980)/(21019681)*a^(2) + (8179387)/(21019681) , (1913329)/(92045183099)*a^(15) - (346706790)/(1012497014089)*a^(13) + (4150184540)/(1012497014089)*a^(11) - (25395094000)/(1012497014089)*a^(9) + (115409043000)/(1012497014089)*a^(7) - (202993944499)/(1012497014089)*a^(5) + (9911044220)/(92045183099)*a^(3) + (1313812737840)/(1012497014089)*a - 1 , (1977105)/(25359581599)*a^(15) + (700972489)/(11137467154979)*a^(14) - (33840010)/(25359581599)*a^(13) - (12232808872)/(11137467154979)*a^(12) + (426869315)/(25359581599)*a^(11) + (123771447179)/(11137467154979)*a^(10) - (2974352111)/(25359581599)*a^(9) - (663232557440)/(11137467154979)*a^(8) + (16495010200)/(25359581599)*a^(7) + (1671303830347)/(11137467154979)*a^(6) - (39480061)/(19053029)*a^(5) + (31283527881)/(1012497014089)*a^(4) + (127569956482)/(25359581599)*a^(3) - (20300710112720)/(11137467154979)*a^(2) - (392145995)/(209583319)*a + (152144831913)/(92045183099) , (1750368606)/(11137467154979)*a^(14) - (22240823625)/(11137467154979)*a^(12) + (221921283282)/(11137467154979)*a^(10) - (875110320306)/(11137467154979)*a^(8) + (2844398064714)/(11137467154979)*a^(6) - (58154153858)/(1012497014089)*a^(4) + (4372605041031)/(11137467154979)*a^(2) - (16751090454)/(92045183099) , (4816075)/(92045183099)*a^(15) - (920857381)/(1012497014089)*a^(13) + (10446504500)/(1012497014089)*a^(11) - (63922450000)/(1012497014089)*a^(9) + (260228515359)/(1012497014089)*a^(7) - (510959725825)/(1012497014089)*a^(5) + (24947268500)/(92045183099)*a^(3) - (608145287463)/(1012497014089)*a , (8554798408)/(122512138704769)*a^(15) - (7237445019)/(11137467154979)*a^(14) + (78480172205)/(122512138704769)*a^(13) + (87580041851)/(11137467154979)*a^(12) - (1678433057976)/(122512138704769)*a^(11) - (831521155263)/(11137467154979)*a^(10) + (23980867099986)/(122512138704769)*a^(9) + (2754412221479)/(11137467154979)*a^(8) - (125522026428687)/(122512138704769)*a^(7) - (6474184370161)/(11137467154979)*a^(6) + (3892363270514)/(1012497014089)*a^(5) - (1465975132089)/(1012497014089)*a^(4) - (578279762728196)/(122512138704769)*a^(3) + (24180307477910)/(11137467154979)*a^(2) + (1764287706595)/(1012497014089)*a - (118312525499)/(92045183099) , (26282437176)/(122512138704769)*a^(15) - (5848164616)/(11137467154979)*a^(14) - (459017646465)/(122512138704769)*a^(13) + (102997373081)/(11137467154979)*a^(12) + (5052555576111)/(122512138704769)*a^(11) - (1147114432008)/(11137467154979)*a^(10) - (30069572166960)/(122512138704769)*a^(9) + (7032881266611)/(11137467154979)*a^(8) + (113533319175414)/(122512138704769)*a^(7) - (27869094253426)/(11137467154979)*a^(6) - (150778307485)/(92045183099)*a^(5) + (5190068062805)/(1012497014089)*a^(4) + (32131967669810)/(122512138704769)*a^(3) - (25599188372831)/(11137467154979)*a^(2) - (542992106839)/(1012497014089)*a + (70794655219)/(92045183099) ], 76884.6053994, [[x^2 + 1, 1], [x^2 - x + 1, 1], [x^2 - 3, 1], [x^2 - x - 1, 1], [x^2 + 5, 1], [x^2 - x + 4, 1], [x^2 - 15, 1], [x^4 - x^2 + 1, 1], [x^4 + 3*x^2 + 1, 1], [x^4 - 7*x^2 + 16, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 - 5*x^2 + 25, 1], [x^4 - 2*x^3 - 7*x^2 + 8*x + 1, 1], [x^4 + x^2 + 4, 1], [x^4 - 105*x^2 + 2205, 1], [x^4 - x^3 + 26*x^2 - 26*x + 151, 1], [x^4 + 35*x^2 + 245, 1], [x^4 - x^3 - 9*x^2 + 9*x + 11, 1], [x^8 - 3*x^6 + 8*x^4 - 3*x^2 + 1, 1], [x^8 - 51*x^6 + 926*x^4 - 7176*x^2 + 22801, 1], [x^8 + 19*x^6 + 121*x^4 + 279*x^2 + 121, 1], [x^8 - 35*x^6 + 980*x^4 - 8575*x^2 + 60025, 1], [x^8 - x^7 + 10*x^6 - 9*x^5 + 79*x^4 - 59*x^3 + 180*x^2 + 99*x + 121, 1], [x^8 - 2*x^7 - 29*x^6 + 54*x^5 + 184*x^4 - 238*x^3 - 126*x^2 + 216*x - 59, 1], [x^8 + 13*x^6 + 74*x^4 + 272*x^2 + 841, 1]]]