/* 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 - x^11 - 100*x^10 + 96*x^9 + 3746*x^8 - 3362*x^7 - 65339*x^6 + 51584*x^5 + 525352*x^4 - 322117*x^3 - 1551355*x^2 + 579413*x + 104959, 12, 1, [12, 0], 24420144017624194286937, [3, 7, 17], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^7 - 1/2, 1/2*a^8 - 1/2*a, 1/4*a^9 - 1/4*a^6 + 1/4*a^5 - 1/4*a^4 + 1/4*a^3 + 1/4*a - 1/4, 1/473476*a^10 + 790/118369*a^9 + 53811/236738*a^8 - 112683/473476*a^7 - 51897/473476*a^6 - 200039/473476*a^5 - 1861/473476*a^4 + 66967/236738*a^3 + 235643/473476*a^2 + 28423/473476*a - 36617/118369, 1/27573771732764023252*a^11 - 6014691891663/27573771732764023252*a^10 + 1551631954960004777/27573771732764023252*a^9 + 723499280698725217/27573771732764023252*a^8 - 2141722623077994721/13786885866382011626*a^7 + 2243641264448774341/27573771732764023252*a^6 - 6405639908408995781/27573771732764023252*a^5 + 4639557014378872295/13786885866382011626*a^4 - 1439615958328205614/6893442933191005813*a^3 + 2610746000021812717/13786885866382011626*a^2 - 2624688042586880212/6893442933191005813*a + 7681920064911343751/27573771732764023252], 0, 2, [2], 1, [ (62587958002)/(27463916068490063)*a^(11) - (681910289063)/(109855664273960252)*a^(10) - (5721652586889)/(27463916068490063)*a^(9) + (13721522902611)/(27463916068490063)*a^(8) + (716886842913163)/(109855664273960252)*a^(7) - (1528855702621697)/(109855664273960252)*a^(6) - (8651982167221331)/(109855664273960252)*a^(5) + (18050621590386067)/(109855664273960252)*a^(4) + (14373196946030613)/(54927832136980126)*a^(3) - (90706150453559445)/(109855664273960252)*a^(2) + (26071731569665377)/(109855664273960252)*a + (126025104196691365)/(54927832136980126) , (638565204327)/(109855664273960252)*a^(11) + (1842419548911)/(54927832136980126)*a^(10) - (13645457463972)/(27463916068490063)*a^(9) - (310918947916583)/(109855664273960252)*a^(8) + (1653589883450671)/(109855664273960252)*a^(7) + (9114791431143253)/(109855664273960252)*a^(6) - (21935630738739213)/(109855664273960252)*a^(5) - (27693996711409724)/(27463916068490063)*a^(4) + (122215016462667049)/(109855664273960252)*a^(3) + (480455593242492853)/(109855664273960252)*a^(2) - (47121851568970376)/(27463916068490063)*a - (57909258728165794)/(27463916068490063) , (96651217713333)/(6893442933191005813)*a^(11) + (973533323422581)/(13786885866382011626)*a^(10) - (35028986949933427)/(27573771732764023252)*a^(9) - (82857629821950973)/(13786885866382011626)*a^(8) + (589737551500208999)/(13786885866382011626)*a^(7) + (4869955622773288653)/(27573771732764023252)*a^(6) - (18891100190334011481)/(27573771732764023252)*a^(5) - (58112449022748839975)/(27573771732764023252)*a^(4) + (146909156735471585537)/(27573771732764023252)*a^(3) + (117187328119261848359)/(13786885866382011626)*a^(2) - (431617732314162247079)/(27573771732764023252)*a - (68357734248396831833)/(27573771732764023252) , (12593184286065)/(13786885866382011626)*a^(11) - (1874380758090753)/(27573771732764023252)*a^(10) - (4741825398878969)/(27573771732764023252)*a^(9) + (38001969059375163)/(6893442933191005813)*a^(8) + (255819191539413651)/(27573771732764023252)*a^(7) - (1056825571284403864)/(6893442933191005813)*a^(6) - (1339519779425110545)/(6893442933191005813)*a^(5) + (24212419489885042611)/(13786885866382011626)*a^(4) + (44770388826200939267)/(27573771732764023252)*a^(3) - (204804172070007484689)/(27573771732764023252)*a^(2) - (29428773313506576930)/(6893442933191005813)*a + (115098402210505545611)/(27573771732764023252) , (506025967430361)/(27573771732764023252)*a^(11) + (900303082569213)/(27573771732764023252)*a^(10) - (45841943280362633)/(27573771732764023252)*a^(9) - (82114091543686347)/(27573771732764023252)*a^(8) + (750486186888884457)/(13786885866382011626)*a^(7) + (2636135662513254053)/(27573771732764023252)*a^(6) - (21875609063971069569)/(27573771732764023252)*a^(5) - (17494739557498001733)/(13786885866382011626)*a^(4) + (34199574055647306791)/(6893442933191005813)*a^(3) + (39244722410397408405)/(6893442933191005813)*a^(2) - (64911527544941270058)/(6893442933191005813)*a - (31750513345965802665)/(27573771732764023252) , (288479005446863)/(27573771732764023252)*a^(11) - (2968097293302817)/(27573771732764023252)*a^(10) - (11616153250335069)/(13786885866382011626)*a^(9) + (243668185178202699)/(27573771732764023252)*a^(8) + (343571177785493235)/(13786885866382011626)*a^(7) - (3503847661666348777)/(13786885866382011626)*a^(6) - (5228075316832500025)/(13786885866382011626)*a^(5) + (86513606463093436025)/(27573771732764023252)*a^(4) + (98663335708039431357)/(27573771732764023252)*a^(3) - (105611632310383860457)/(6893442933191005813)*a^(2) - (461332118576110569799)/(27573771732764023252)*a + (80515025833033904948)/(6893442933191005813) , (13997623211407)/(27573771732764023252)*a^(11) - (563535571281080)/(6893442933191005813)*a^(10) + (2070874244325041)/(13786885866382011626)*a^(9) + (176925291125960023)/(27573771732764023252)*a^(8) - (363822273445733365)/(27573771732764023252)*a^(7) - (4645342475592567873)/(27573771732764023252)*a^(6) + (9181418418133462313)/(27573771732764023252)*a^(5) + (23549267857210483241)/(13786885866382011626)*a^(4) - (77965333230957451263)/(27573771732764023252)*a^(3) - (140606927770383275583)/(27573771732764023252)*a^(2) + (25469712019982207104)/(6893442933191005813)*a - (3508824015619690583)/(13786885866382011626) , (220845314502837)/(13786885866382011626)*a^(11) + (502867756933344)/(6893442933191005813)*a^(10) - (43676793368883319)/(27573771732764023252)*a^(9) - (79061540613161785)/(13786885866382011626)*a^(8) + (777372030256355523)/(13786885866382011626)*a^(7) + (4233266494659079273)/(27573771732764023252)*a^(6) - (23499009685486534461)/(27573771732764023252)*a^(5) - (47570916932418239633)/(27573771732764023252)*a^(4) + (128104867183638611911)/(27573771732764023252)*a^(3) + (108257359154633198833)/(13786885866382011626)*a^(2) - (90430265999322187467)/(27573771732764023252)*a - (20665241020127424101)/(27573771732764023252) , (912084889840607)/(27573771732764023252)*a^(11) + (351039567217757)/(13786885866382011626)*a^(10) - (35597350132813485)/(13786885866382011626)*a^(9) - (49821181995274729)/(27573771732764023252)*a^(8) + (1859460943600265803)/(27573771732764023252)*a^(7) + (1087084220128625239)/(27573771732764023252)*a^(6) - (19368737595402801011)/(27573771732764023252)*a^(5) - (3982174032911207489)/(13786885866382011626)*a^(4) + (77320281455871054259)/(27573771732764023252)*a^(3) + (1391737805066544801)/(27573771732764023252)*a^(2) - (33686118898576061985)/(6893442933191005813)*a - (10064625666919859997)/(13786885866382011626) , (625278639363092)/(6893442933191005813)*a^(11) + (9039974264564811)/(27573771732764023252)*a^(10) - (51588569156248815)/(6893442933191005813)*a^(9) - (367713015792478115)/(13786885866382011626)*a^(8) + (5864486715343531221)/(27573771732764023252)*a^(7) + (20234053229742160393)/(27573771732764023252)*a^(6) - (68566468255556731237)/(27573771732764023252)*a^(5) - (221914570622235086295)/(27573771732764023252)*a^(4) + (145181825570249410829)/(13786885866382011626)*a^(3) + (812410980733625758277)/(27573771732764023252)*a^(2) - (156737411029868622683)/(27573771732764023252)*a - (17905629173447376049)/(13786885866382011626) , (645966781149115)/(27573771732764023252)*a^(11) + (6231264821134233)/(27573771732764023252)*a^(10) - (64870217332369221)/(27573771732764023252)*a^(9) - (483508426430122737)/(27573771732764023252)*a^(8) + (1201459514779791895)/(13786885866382011626)*a^(7) + (12548688393642840377)/(27573771732764023252)*a^(6) - (40021450888396519449)/(27573771732764023252)*a^(5) - (32332790055507782622)/(6893442933191005813)*a^(4) + (70284970272063644539)/(6893442933191005813)*a^(3) + (115044317777332438249)/(6893442933191005813)*a^(2) - (309179861937492294689)/(13786885866382011626)*a - (86482536138563833345)/(27573771732764023252) ], 7899059.36991, [[x^2 - x - 4, 1], [x^3 - x^2 - 2*x + 1, 1], [x^4 - x^3 - 91*x^2 + x + 1786, 1], [x^6 - x^5 - 17*x^4 + 11*x^3 + 57*x^2 - 25*x - 13, 1]]]