/* 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^12 - 3*x^11 + 24*x^10 - 24*x^9 + 273*x^8 - 114*x^7 + 1520*x^6 - 336*x^5 + 5496*x^4 - 363*x^3 + 10686*x^2 - 2670*x + 7921, 12, 99, [0, 6], 98611378021423828125, [3, 5, 19], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/5371554787657381871*a^11 + 2623724598811789884/5371554787657381871*a^10 + 626972156228222205/5371554787657381871*a^9 + 60242261187361469/5371554787657381871*a^8 + 488969505168479061/5371554787657381871*a^7 - 2030772343490309313/5371554787657381871*a^6 + 1421569414946345353/5371554787657381871*a^5 - 374751200068005841/5371554787657381871*a^4 + 2329650263428653325/5371554787657381871*a^3 - 1922875563147868788/5371554787657381871*a^2 + 1634537710659218980/5371554787657381871*a + 23579514083311953/60354548175925639], 0, 32, [2, 4, 4], 0, [ -(1203248218130)/(3176555167153981)*a^(11) + (3032362189065)/(3176555167153981)*a^(10) - (21650889935335)/(3176555167153981)*a^(9) - (5912954843030)/(3176555167153981)*a^(8) - (180501260702530)/(3176555167153981)*a^(7) - (192363699674320)/(3176555167153981)*a^(6) - (523388658879894)/(3176555167153981)*a^(5) - (1401088425820085)/(3176555167153981)*a^(4) - (980739170277990)/(3176555167153981)*a^(3) - (4082502473563395)/(3176555167153981)*a^(2) + (830340098511580)/(3176555167153981)*a - (4833085449573269)/(3176555167153981) , -(833153665010)/(3176555167153981)*a^(11) + (2298544316839)/(3176555167153981)*a^(10) - (16030058005430)/(3176555167153981)*a^(9) + (8257395488325)/(3176555167153981)*a^(8) - (172567874875670)/(3176555167153981)*a^(7) + (113940069257130)/(3176555167153981)*a^(6) - (861787887802932)/(3176555167153981)*a^(5) + (804075921124220)/(3176555167153981)*a^(4) - (2987653943735695)/(3176555167153981)*a^(3) + (3070569664163930)/(3176555167153981)*a^(2) - (3094797034109250)/(3176555167153981)*a + (7423743928156076)/(3176555167153981) , -(1050878033040583)/(5371554787657381871)*a^(11) - (17825656599877521)/(5371554787657381871)*a^(10) + (59903732700441704)/(5371554787657381871)*a^(9) - (486051118664560074)/(5371554787657381871)*a^(8) + (413143562324967476)/(5371554787657381871)*a^(7) - (4346261826393725713)/(5371554787657381871)*a^(6) + (2700558207430175682)/(5371554787657381871)*a^(5) - (19349643326368271506)/(5371554787657381871)*a^(4) + (4099735509211761927)/(5371554787657381871)*a^(3) - (54575435910769646061)/(5371554787657381871)*a^(2) + (13483337063897718720)/(5371554787657381871)*a - (654489109937569150)/(60354548175925639) , (2283874938290339)/(5371554787657381871)*a^(11) - (1068853167794895)/(5371554787657381871)*a^(10) + (42490108175872263)/(5371554787657381871)*a^(9) + (62939509791222902)/(5371554787657381871)*a^(8) + (599480193719036528)/(5371554787657381871)*a^(7) + (1082834109652015773)/(5371554787657381871)*a^(6) + (3834654368459118566)/(5371554787657381871)*a^(5) + (5666311404386973850)/(5371554787657381871)*a^(4) + (12484322984210049512)/(5371554787657381871)*a^(3) + (15621892438276102486)/(5371554787657381871)*a^(2) + (19702894641603695751)/(5371554787657381871)*a + (182066236788934021)/(60354548175925639) , -(3516087256740807)/(5371554787657381871)*a^(11) + (15612960061602672)/(5371554787657381871)*a^(10) - (87862038522178660)/(5371554787657381871)*a^(9) + (122845806411096761)/(5371554787657381871)*a^(8) - (658557883770880531)/(5371554787657381871)*a^(7) + (638137052086706868)/(5371554787657381871)*a^(6) - (2795796478206320793)/(5371554787657381871)*a^(5) + (1384416035696150910)/(5371554787657381871)*a^(4) - (6801125911880725973)/(5371554787657381871)*a^(3) + (3708834859427210332)/(5371554787657381871)*a^(2) - (5906141276994749637)/(5371554787657381871)*a + (11648208483007594)/(60354548175925639) ], 3153.9783425305222, [[x^3 - 3*x - 1, 1], [x^6 - 9*x^4 - 49*x^3 - 306*x^2 - 447*x - 811, 1]]]