/* 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 - 35*x^14 + 486*x^12 - 3428*x^10 + 13207*x^8 - 28366*x^6 + 33276*x^4 - 19631*x^2 + 4489, 16, 1194, [16, 0], 49535258684630680881135616, [2, 17, 67], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/2*a^12 - 1/2*a^8 - 1/2*a^6 - 1/2*a^4 - 1/2, 1/2*a^13 - 1/2*a^9 - 1/2*a^7 - 1/2*a^5 - 1/2*a, 1/210951778*a^14 + 9792417/210951778*a^12 - 48909045/210951778*a^10 - 21753398/105475889*a^8 + 52417052/105475889*a^6 - 78940899/210951778*a^4 - 84471747/210951778*a^2 + 905713/3148534, 1/210951778*a^15 + 9792417/210951778*a^13 - 48909045/210951778*a^11 - 21753398/105475889*a^9 + 52417052/105475889*a^7 - 78940899/210951778*a^5 - 84471747/210951778*a^3 + 905713/3148534*a], 0, 1, [], 1, [ (3702365)/(210951778)*a^(14) - (125359765)/(210951778)*a^(12) + (1658891997)/(210951778)*a^(10) - (5435761656)/(105475889)*a^(8) + (18635747342)/(105475889)*a^(6) - (66478615211)/(210951778)*a^(4) + (57432065193)/(210951778)*a^(2) - (280125767)/(3148534) , (1815433)/(210951778)*a^(14) - (62215833)/(210951778)*a^(12) + (829538273)/(210951778)*a^(10) - (2718508624)/(105475889)*a^(8) + (9213641282)/(105475889)*a^(6) - (31988814221)/(210951778)*a^(4) + (26232628567)/(210951778)*a^(2) - (117286383)/(3148534) , (100931)/(105475889)*a^(14) - (6755295)/(210951778)*a^(12) + (43736083)/(105475889)*a^(10) - (551811901)/(210951778)*a^(8) + (1765478135)/(210951778)*a^(6) - (2718292821)/(210951778)*a^(4) + (747494414)/(105475889)*a^(2) - (1608973)/(3148534) , (674979)/(105475889)*a^(14) - (46975773)/(210951778)*a^(12) + (320213055)/(105475889)*a^(10) - (4321602369)/(210951778)*a^(8) + (15079209343)/(210951778)*a^(6) - (26230032787)/(210951778)*a^(4) + (10149780205)/(105475889)*a^(2) - (79134317)/(3148534) , (517155)/(210951778)*a^(14) - (8222461)/(105475889)*a^(12) + (193870559)/(210951778)*a^(10) - (1011630457)/(210951778)*a^(8) + (2034342899)/(210951778)*a^(6) + (39321386)/(105475889)*a^(4) - (4045456437)/(210951778)*a^(2) + (17702806)/(1574267) , (517155)/(210951778)*a^(14) - (8222461)/(105475889)*a^(12) + (193870559)/(210951778)*a^(10) - (1011630457)/(210951778)*a^(8) + (2034342899)/(210951778)*a^(6) + (39321386)/(105475889)*a^(4) - (4045456437)/(210951778)*a^(2) + (19277073)/(1574267) , (497573)/(210951778)*a^(14) - (8194207)/(105475889)*a^(12) + (209717629)/(210951778)*a^(10) - (1306734305)/(210951778)*a^(8) + (4054187869)/(210951778)*a^(6) - (2825500100)/(105475889)*a^(4) + (2335955359)/(210951778)*a^(2) + (1970164)/(1574267) , (2087049)/(105475889)*a^(15) - (2352525)/(210951778)*a^(14) - (70572874)/(105475889)*a^(13) + (83113565)/(210951778)*a^(12) + (933115214)/(105475889)*a^(11) - (1153848361)/(210951778)*a^(10) - (6115074914)/(105475889)*a^(9) + (3996033378)/(105475889)*a^(8) + (20991273857)/(105475889)*a^(7) - (14591719637)/(105475889)*a^(6) - (37524163757)/(105475889)*a^(5) + (55364782401)/(210951778)*a^(4) + (32325903480)/(105475889)*a^(3) - (49736678883)/(210951778)*a^(2) - (153333605)/(1574267)*a + (240524147)/(3148534) , (2142203)/(105475889)*a^(15) + (12274785)/(210951778)*a^(14) - (137790561)/(210951778)*a^(13) - (202161583)/(105475889)*a^(12) + (844032570)/(105475889)*a^(11) + (5137826103)/(210951778)*a^(10) - (9798908049)/(210951778)*a^(9) - (31653971325)/(210951778)*a^(8) + (27618128549)/(210951778)*a^(7) + (98735738511)/(210951778)*a^(6) - (36905774415)/(210951778)*a^(5) - (77281636174)/(105475889)*a^(4) + (11567912328)/(105475889)*a^(3) + (114724462995)/(210951778)*a^(2) - (89735381)/(3148534)*a - (235491093)/(1574267) , (2862959)/(105475889)*a^(15) - (167615)/(105475889)*a^(14) - (97438408)/(105475889)*a^(13) + (14142437)/(210951778)*a^(12) + (1297064352)/(105475889)*a^(11) - (118418961)/(105475889)*a^(10) - (8551782049)/(105475889)*a^(9) + (2003237607)/(210951778)*a^(8) + (29413617596)/(105475889)*a^(7) - (8990678575)/(210951778)*a^(6) - (51998326561)/(105475889)*a^(5) + (20657675359)/(210951778)*a^(4) + (43223178099)/(105475889)*a^(3) - (11004530744)/(105475889)*a^(2) - (193705250)/(1574267)*a + (118480257)/(3148534) , (4918955)/(210951778)*a^(15) + (2708264)/(105475889)*a^(14) - (82474198)/(105475889)*a^(13) - (90668405)/(105475889)*a^(12) + (2149952351)/(210951778)*a^(11) + (1179834990)/(105475889)*a^(10) - (13741699975)/(210951778)*a^(9) - (7524217140)/(105475889)*a^(8) + (45125503587)/(210951778)*a^(7) + (24589845728)/(105475889)*a^(6) - (37384632730)/(105475889)*a^(5) - (40210132830)/(105475889)*a^(4) + (57217552943)/(210951778)*a^(3) + (29776754151)/(105475889)*a^(2) - (121194400)/(1574267)*a - (117649969)/(1574267) , (548208)/(105475889)*a^(15) - (924369)/(210951778)*a^(14) - (19507808)/(105475889)*a^(13) + (14304109)/(105475889)*a^(12) + (274097774)/(105475889)*a^(11) - (336236243)/(210951778)*a^(10) - (1936787445)/(105475889)*a^(9) + (1857740361)/(210951778)*a^(8) + (7313730765)/(105475889)*a^(7) - (4802131965)/(210951778)*a^(6) - (14674582086)/(105475889)*a^(5) + (2362901489)/(105475889)*a^(4) + (14391548088)/(105475889)*a^(3) + (529386611)/(210951778)*a^(2) - (78690045)/(1574267)*a - (15998950)/(1574267) , (2109760)/(105475889)*a^(15) + (1460621)/(105475889)*a^(14) - (141804687)/(210951778)*a^(13) - (48016888)/(105475889)*a^(12) + (926381278)/(105475889)*a^(11) + (608547421)/(105475889)*a^(10) - (11883153769)/(210951778)*a^(9) - (3728883489)/(105475889)*a^(8) + (39305837583)/(210951778)*a^(7) + (11456448959)/(105475889)*a^(6) - (66399972439)/(210951778)*a^(5) - (17166257723)/(105475889)*a^(4) + (26693304378)/(105475889)*a^(3) + (11554261876)/(105475889)*a^(2) - (238423087)/(3148534)*a - (39717012)/(1574267) , (9791)/(105475889)*a^(14) - (28254)/(105475889)*a^(12) - (7923535)/(105475889)*a^(10) + (147551924)/(105475889)*a^(8) - (1009922485)/(105475889)*a^(6) + (2864821486)/(105475889)*a^(4) - (3190705898)/(105475889)*a^(2) + a + (15732642)/(1574267) , (592181)/(105475889)*a^(15) - (2949166)/(105475889)*a^(14) - (45743819)/(210951778)*a^(13) + (197647401)/(210951778)*a^(12) + (355514588)/(105475889)*a^(11) - (1288208923)/(105475889)*a^(10) - (5671996655)/(210951778)*a^(9) + (16522636295)/(210951778)*a^(8) + (24529372101)/(210951778)*a^(7) - (55021591759)/(210951778)*a^(6) - (55936901785)/(210951778)*a^(5) + (95360549739)/(210951778)*a^(4) + (30386659409)/(105475889)*a^(3) - (40902191472)/(105475889)*a^(2) - (361386701)/(3148534)*a + (408115587)/(3148534) ], 40729869.2956, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1]]]