/* 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^22 - 5*x^20 + 9*x^18 - 6*x^16 - 12*x^14 + 37*x^12 - 45*x^10 + 75*x^8 - 54*x^6 - 17*x^4 + 44*x^2 - 16, 22, 49, [2, 10], 2865855874606691962958381056, [2, 11, 19, 547], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a, 1/2*a^11 - 1/2*a^8 - 1/2*a^6 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^12 - 1/2*a^9 - 1/2*a^7 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/2*a^13 - 1/2*a^9 - 1/2*a, 1/2*a^14 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^15 - 1/2*a^8 - 1/2*a^6 - 1/2*a^2 - 1/2*a, 1/2*a^16 - 1/2*a^9 - 1/2*a^7 - 1/2*a^3 - 1/2*a^2, 1/2*a^17 - 1/2*a^9 - 1/2*a^5 - 1/2*a, 1/10*a^18 - 1/5*a^16 + 1/5*a^14 + 1/5*a^12 + 1/5*a^10 - 1/2*a^9 + 1/10*a^8 + 1/10*a^6 - 1/2*a^5 - 3/10*a^4 - 1/2*a^3 + 1/10*a^2 - 1/2*a + 2/5, 1/10*a^19 - 1/5*a^17 + 1/5*a^15 + 1/5*a^13 + 1/5*a^11 - 2/5*a^9 - 1/2*a^8 + 1/10*a^7 - 1/2*a^6 + 1/5*a^5 - 2/5*a^3 - 1/2*a^2 - 1/10*a, 1/31136200*a^20 - 1/20*a^19 + 420119/31136200*a^18 - 3/20*a^17 + 1305013/6227240*a^16 + 3/20*a^15 - 1808323/15568100*a^14 - 1/10*a^13 + 1693971/7784050*a^12 - 1/10*a^11 + 6564153/31136200*a^10 - 1/20*a^9 - 6155273/31136200*a^8 + 9/20*a^7 - 7527077/31136200*a^6 - 7/20*a^5 - 2124451/15568100*a^4 + 1/5*a^3 + 755667/6227240*a^2 - 9/20*a - 241679/7784050, 1/62272400*a^21 + 420119/62272400*a^19 - 1808607/12454480*a^17 + 5975727/31136200*a^15 + 1693971/15568100*a^13 - 9003947/62272400*a^11 + 24980927/62272400*a^9 - 23095177/62272400*a^7 - 1/2*a^6 - 9908501/31136200*a^5 - 1/2*a^4 + 755667/12454480*a^3 - 1033426/3892025*a - 1/2], 0, 1, [], 1, [ (1276097)/(15568100)*a^(20) - (6064157)/(15568100)*a^(18) + (1960451)/(3113620)*a^(16) - (1128378)/(3892025)*a^(14) - (8264201)/(7784050)*a^(12) + (40825591)/(15568100)*a^(10) - (42939781)/(15568100)*a^(8) + (81640531)/(15568100)*a^(6) - (13605036)/(3892025)*a^(4) - (7074451)/(3113620)*a^(2) + (9890212)/(3892025) , (1780789)/(15568100)*a^(20) - (8217379)/(15568100)*a^(18) + (512211)/(622724)*a^(16) - (1397796)/(3892025)*a^(14) - (11929107)/(7784050)*a^(12) + (57344477)/(15568100)*a^(10) - (57716017)/(15568100)*a^(8) + (111823377)/(15568100)*a^(6) - (12674317)/(3892025)*a^(4) - (11250981)/(3113620)*a^(2) + (13274249)/(3892025) , (7629503)/(31136200)*a^(21) - (35619863)/(31136200)*a^(19) + (11034507)/(6227240)*a^(17) - (10750139)/(15568100)*a^(15) - (12991736)/(3892025)*a^(13) + (244593019)/(31136200)*a^(11) - (238625239)/(31136200)*a^(9) + (463746249)/(31136200)*a^(7) - (123574673)/(15568100)*a^(5) - (55519963)/(6227240)*a^(3) + (25187609)/(3892025)*a , (1528443)/(7784050)*a^(20) - (3570384)/(3892025)*a^(18) + (2260753)/(1556810)*a^(16) - (2526174)/(3892025)*a^(14) - (10096654)/(3892025)*a^(12) + (24542517)/(3892025)*a^(10) - (50327899)/(7784050)*a^(8) + (48365977)/(3892025)*a^(6) - (26279353)/(3892025)*a^(4) - (4581358)/(778405)*a^(2) + (23164461)/(3892025) , (10673237)/(62272400)*a^(21) - (1464461)/(31136200)*a^(20) - (47074177)/(62272400)*a^(19) + (6534761)/(31136200)*a^(18) + (13675753)/(12454480)*a^(17) - (1932441)/(6227240)*a^(16) - (11454331)/(31136200)*a^(15) + (2187973)/(15568100)*a^(14) - (36457213)/(15568100)*a^(13) + (2183527)/(3892025)*a^(12) + (315898801)/(62272400)*a^(11) - (42859893)/(31136200)*a^(10) - (298773481)/(62272400)*a^(9) + (43649273)/(31136200)*a^(8) + (610631471)/(62272400)*a^(7) - (97334283)/(31136200)*a^(6) - (92911967)/(31136200)*a^(5) + (18509331)/(15568100)*a^(4) - (67164137)/(12454480)*a^(3) + (7933497)/(6227240)*a^(2) + (85550347)/(15568100)*a - (2138918)/(3892025) , (1011921)/(31136200)*a^(21) - (6436201)/(31136200)*a^(19) + (2863853)/(6227240)*a^(17) - (5544483)/(15568100)*a^(15) - (1817242)/(3892025)*a^(13) + (56449513)/(31136200)*a^(11) - (71152833)/(31136200)*a^(9) + (88025383)/(31136200)*a^(7) - (55491871)/(15568100)*a^(5) - (7970353)/(6227240)*a^(3) + (9343833)/(3892025)*a , (2172321)/(15568100)*a^(21) - (3797823)/(31136200)*a^(20) - (4975633)/(7784050)*a^(19) + (18286343)/(31136200)*a^(18) + (1497577)/(1556810)*a^(17) - (5984031)/(6227240)*a^(16) - (5112321)/(15568100)*a^(15) + (7069409)/(15568100)*a^(14) - (15080133)/(7784050)*a^(13) + (12550407)/(7784050)*a^(12) + (67281133)/(15568100)*a^(11) - (127687059)/(31136200)*a^(10) - (31242799)/(7784050)*a^(9) + (135748659)/(31136200)*a^(8) + (62346109)/(7784050)*a^(7) - (249336149)/(31136200)*a^(6) - (58100547)/(15568100)*a^(5) + (79011303)/(15568100)*a^(4) - (14245551)/(3113620)*a^(3) + (5365387)/(1245448)*a^(2) + (51500929)/(15568100)*a - (36440753)/(7784050) , (302209)/(62272400)*a^(21) + (793881)/(31136200)*a^(20) - (339869)/(62272400)*a^(19) - (3368941)/(31136200)*a^(18) - (626307)/(12454480)*a^(17) + (194965)/(1245448)*a^(16) + (4869653)/(31136200)*a^(15) - (1168593)/(15568100)*a^(14) - (3448031)/(15568100)*a^(13) - (1171007)/(3892025)*a^(12) - (346803)/(62272400)*a^(11) + (21325833)/(31136200)*a^(10) + (31575603)/(62272400)*a^(9) - (20374793)/(31136200)*a^(8) - (39276933)/(62272400)*a^(7) + (43633683)/(31136200)*a^(6) + (40708801)/(31136200)*a^(5) - (3625311)/(15568100)*a^(4) - (3180809)/(2490896)*a^(3) - (209909)/(6227240)*a^(2) + (1729049)/(15568100)*a + (1951923)/(3892025) , (85971)/(6227240)*a^(21) - (2315949)/(31136200)*a^(20) - (252813)/(6227240)*a^(19) + (10276729)/(31136200)*a^(18) + (81729)/(6227240)*a^(17) - (3058981)/(6227240)*a^(16) + (17701)/(311362)*a^(15) + (3035287)/(15568100)*a^(14) - (68939)/(311362)*a^(13) + (7642901)/(7784050)*a^(12) + (1231559)/(6227240)*a^(11) - (68653077)/(31136200)*a^(10) + (131)/(1245448)*a^(9) + (65562937)/(31136200)*a^(8) + (2337331)/(6227240)*a^(7) - (137591667)/(31136200)*a^(6) + (670628)/(778405)*a^(5) + (26106109)/(15568100)*a^(4) + (77233)/(6227240)*a^(3) + (9823929)/(6227240)*a^(2) + (2871203)/(3113620)*a - (9888169)/(7784050) , (857953)/(6227240)*a^(21) + (274081)/(3892025)*a^(20) - (3994721)/(6227240)*a^(19) - (1259201)/(3892025)*a^(18) + (6231441)/(6227240)*a^(17) + (760443)/(1556810)*a^(16) - (1257857)/(3113620)*a^(15) - (1443037)/(7784050)*a^(14) - (1488798)/(778405)*a^(13) - (7325927)/(7784050)*a^(12) + (28138073)/(6227240)*a^(11) + (8607663)/(3892025)*a^(10) - (28049077)/(6227240)*a^(9) - (8557828)/(3892025)*a^(8) + (51680591)/(6227240)*a^(7) + (33022621)/(7784050)*a^(6) - (12353741)/(3113620)*a^(5) - (7395192)/(3892025)*a^(4) - (31906073)/(6227240)*a^(3) - (2167201)/(778405)*a^(2) + (806101)/(155681)*a + (9017194)/(3892025) , (15772551)/(62272400)*a^(21) - (2097117)/(31136200)*a^(20) - (67071291)/(62272400)*a^(19) + (9899997)/(31136200)*a^(18) + (18192267)/(12454480)*a^(17) - (3189669)/(6227240)*a^(16) - (11547733)/(31136200)*a^(15) + (3403211)/(15568100)*a^(14) - (53046459)/(15568100)*a^(13) + (7562053)/(7784050)*a^(12) + (432377683)/(62272400)*a^(11) - (71829061)/(31136200)*a^(10) - (387331883)/(62272400)*a^(9) + (71782761)/(31136200)*a^(8) + (881874213)/(62272400)*a^(7) - (126312471)/(31136200)*a^(6) - (83322761)/(31136200)*a^(5) + (32187937)/(15568100)*a^(4) - (19245471)/(2490896)*a^(3) + (2913693)/(1245448)*a^(2) + (101272011)/(15568100)*a - (11135331)/(3892025) ], 97800.0774856, [[x^11 - x^9 + x^7 - x^6 + 2*x^5 + x^4 - 2*x^3 - x - 1, 1]]]