/* 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 + 16*x^14 - 8*x^13 + 100*x^12 - 48*x^11 + 280*x^10 - 144*x^9 + 388*x^8 + 32*x^7 + 160*x^6 - 224*x^5 + 272*x^4 - 32*x^3 - 320*x^2 - 128*x + 184, 16, 8, [0, 8], 9573589958277615058944, [2, 3], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6, 1/2*a^7, 1/2*a^8, 1/2*a^9, 1/2*a^10, 1/4*a^11, 1/28*a^12 - 1/14*a^11 - 1/14*a^10 - 1/14*a^9 + 3/14*a^8 + 1/14*a^7 - 3/14*a^6 - 1/7*a^5 + 3/7*a^4 + 2/7*a^3 + 1/7*a^2 - 2/7*a + 2/7, 1/28*a^13 + 1/28*a^11 - 3/14*a^10 + 1/14*a^9 - 1/14*a^7 - 1/14*a^6 + 1/7*a^5 + 1/7*a^4 - 2/7*a^3 - 2/7*a - 3/7, 1/231196*a^14 + 3837/231196*a^13 - 1020/57799*a^12 + 3245/57799*a^11 - 473/2513*a^10 + 8278/57799*a^9 - 1831/57799*a^8 - 1163/57799*a^7 + 5195/115598*a^6 + 25433/57799*a^5 + 14692/57799*a^4 - 17978/57799*a^3 + 9119/57799*a^2 + 14317/57799*a - 1020/2513, 1/79957055836*a^15 - 44963/39978527918*a^14 + 3689138/19989263959*a^13 + 805910667/79957055836*a^12 - 420580511/11422436548*a^11 + 1499864657/39978527918*a^10 + 5513955425/39978527918*a^9 - 4899746393/39978527918*a^8 - 1023245829/19989263959*a^7 - 1478288125/19989263959*a^6 - 4442972904/19989263959*a^5 + 1390677775/2855609137*a^4 - 4700696317/19989263959*a^3 - 3065797459/19989263959*a^2 - 7331940533/19989263959*a + 424030279/869098433], 1, 2, [2], 0, [ (168342565)/(39978527918)*a^(15) - (192588412)/(19989263959)*a^(14) + (2115957285)/(39978527918)*a^(13) - (15683190015)/(79957055836)*a^(12) + (5624121312)/(19989263959)*a^(11) - (45797770353)/(39978527918)*a^(10) + (10307122472)/(19989263959)*a^(9) - (59740283647)/(19989263959)*a^(8) + (2282632184)/(2855609137)*a^(7) - (30320501013)/(19989263959)*a^(6) - (1417188166)/(2855609137)*a^(5) - (38908573222)/(19989263959)*a^(4) + (42216283462)/(19989263959)*a^(3) + (52110999298)/(19989263959)*a^(2) - (6183601184)/(19989263959)*a - (1272116677)/(869098433) , (1001966379)/(79957055836)*a^(15) + (1107071771)/(79957055836)*a^(14) + (16066206255)/(79957055836)*a^(13) + (8785760469)/(79957055836)*a^(12) + (45328543285)/(39978527918)*a^(11) + (1712539033)/(2855609137)*a^(10) + (110381091497)/(39978527918)*a^(9) + (22375957062)/(19989263959)*a^(8) + (49221187422)/(19989263959)*a^(7) + (156039458597)/(39978527918)*a^(6) + (50748487620)/(19989263959)*a^(5) - (6933642022)/(19989263959)*a^(4) - (184406120)/(2855609137)*a^(3) + (69804638011)/(19989263959)*a^(2) - (21661204094)/(19989263959)*a - (1955494519)/(869098433) , (2135732833)/(79957055836)*a^(15) + (1377977651)/(79957055836)*a^(14) + (97168485)/(222721604)*a^(13) + (5638326137)/(79957055836)*a^(12) + (106993222067)/(39978527918)*a^(11) + (20363130499)/(39978527918)*a^(10) + (299633340199)/(39978527918)*a^(9) + (4181416915)/(2855609137)*a^(8) + (203200638024)/(19989263959)*a^(7) + (361164348501)/(39978527918)*a^(6) + (160007629294)/(19989263959)*a^(5) + (31291636573)/(19989263959)*a^(4) + (146628770562)/(19989263959)*a^(3) + (87046416123)/(19989263959)*a^(2) - (92812878556)/(19989263959)*a - (5024526363)/(869098433) , (7116027)/(563077858)*a^(15) + (5894879)/(1126155716)*a^(14) + (31384889)/(160879388)*a^(13) - (26713501)/(1126155716)*a^(12) + (626658383)/(563077858)*a^(11) - (32374108)/(281538929)*a^(10) + (764328129)/(281538929)*a^(9) - (139723188)/(281538929)*a^(8) + (833662524)/(281538929)*a^(7) + (1330148873)/(563077858)*a^(6) + (433242666)/(281538929)*a^(5) - (1147229464)/(281538929)*a^(4) + (278550880)/(281538929)*a^(3) + (72577019)/(281538929)*a^(2) - (1303230484)/(281538929)*a - (101298825)/(12240823) , (311663215)/(39978527918)*a^(15) + (46735621)/(11422436548)*a^(14) + (2622692157)/(19989263959)*a^(13) + (1161601625)/(79957055836)*a^(12) + (34563881067)/(39978527918)*a^(11) + (6676220407)/(39978527918)*a^(10) + (54989330576)/(19989263959)*a^(9) + (14725449870)/(19989263959)*a^(8) + (96298832964)/(19989263959)*a^(7) + (67066439061)/(19989263959)*a^(6) + (90837599906)/(19989263959)*a^(5) + (3325835253)/(2855609137)*a^(4) + (84844943888)/(19989263959)*a^(3) + (41700115715)/(19989263959)*a^(2) - (46450434900)/(19989263959)*a - (2618911625)/(869098433) , (1704334635)/(79957055836)*a^(15) + (949461389)/(39978527918)*a^(14) + (26456867607)/(79957055836)*a^(13) + (12399721485)/(79957055836)*a^(12) + (34308601217)/(19989263959)*a^(11) + (11354518796)/(19989263959)*a^(10) + (67016754598)/(19989263959)*a^(9) - (25731019967)/(39978527918)*a^(8) + (192729652)/(2855609137)*a^(7) + (35099820913)/(39978527918)*a^(6) + (151629914)/(2855609137)*a^(5) - (5676864594)/(869098433)*a^(4) - (105354230866)/(19989263959)*a^(3) + (68491473240)/(19989263959)*a^(2) + (56896105682)/(19989263959)*a - (457935203)/(869098433) , (1236732753)/(39978527918)*a^(15) + (2048600735)/(79957055836)*a^(14) + (2814223289)/(5711218274)*a^(13) + (10591893043)/(79957055836)*a^(12) + (112683562729)/(39978527918)*a^(11) + (24803350073)/(39978527918)*a^(10) + (139266075645)/(19989263959)*a^(9) + (11230564525)/(39978527918)*a^(8) + (134888051834)/(19989263959)*a^(7) + (5080176611)/(869098433)*a^(6) + (108729226780)/(19989263959)*a^(5) - (83957039153)/(19989263959)*a^(4) + (29962511972)/(19989263959)*a^(3) + (121856691911)/(19989263959)*a^(2) - (17637949766)/(19989263959)*a - (3981796453)/(869098433) ], 22843.7922823, [[x^2 - 2, 1], [x^2 - 6, 1], [x^2 - 3, 1], [x^4 + 12*x^2 + 18, 1], [x^4 - 4*x^2 + 1, 1], [x^4 + 4*x^2 + 2, 1], [x^4 + 6*x^2 + 3, 2], [x^4 + 6*x^2 + 6, 2], [x^8 + 8*x^6 + 20*x^4 + 16*x^2 + 1, 1], [x^8 - 4*x^7 + 8*x^6 - 4*x^5 + 4*x^4 + 4*x^3 + 32*x^2 - 20*x + 25, 1], [x^8 - 12*x^6 + 36*x^4 - 36*x^2 + 9, 1]]]