/* 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^25 - 4*x^24 + x^23 + 2*x^22 + 5*x^21 + 38*x^20 + 24*x^19 - 79*x^18 - 45*x^17 - 175*x^16 - 246*x^15 + 78*x^14 + 160*x^13 + 28*x^12 + 1032*x^11 + 953*x^10 + 967*x^9 + 1690*x^8 + 1081*x^7 - 1035*x^6 - 715*x^5 - 2390*x^4 - 2966*x^3 - 1925*x^2 - 720*x - 1003, 25, 4, [1, 12], 1149142693715820345877000392469173818401, [7, 257], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/7*a^11 - 2/7*a^10 - 3/7*a^9 - 1/7*a^8 + 2/7*a^7 + 3/7*a^6 - 1/7*a^5 + 2/7*a^4 + 3/7*a^3 + 1/7*a^2 - 2/7*a - 3/7, 1/7*a^12 - 2/7*a^6 + 1/7, 1/7*a^13 - 2/7*a^7 + 1/7*a, 1/7*a^14 - 2/7*a^8 + 1/7*a^2, 1/7*a^15 - 2/7*a^9 + 1/7*a^3, 1/7*a^16 - 2/7*a^10 + 1/7*a^4, 1/49*a^17 - 3/49*a^16 - 3/49*a^15 + 2/49*a^14 + 2/49*a^13 + 1/49*a^12 - 2/49*a^11 + 6/49*a^10 - 15/49*a^9 + 3/49*a^8 + 10/49*a^7 - 9/49*a^6 - 20/49*a^5 + 4/49*a^4 - 17/49*a^3 + 23/49*a^2 - 5/49*a + 22/49, 1/49*a^18 + 2/49*a^16 + 1/49*a^14 + 1/49*a^12 + 24/49*a^10 - 1/7*a^9 - 16/49*a^8 - 2/7*a^7 + 2/49*a^6 - 1/7*a^5 + 9/49*a^4 - 3/7*a^3 + 8/49*a^2 + 17/49, 1/637*a^19 - 2/637*a^18 - 3/637*a^17 + 25/637*a^16 - 33/637*a^15 + 30/637*a^14 + 2/49*a^13 + 4/91*a^12 + 34/637*a^11 - 15/637*a^10 + 220/637*a^9 - 81/637*a^8 - 22/49*a^7 - 134/637*a^6 + 74/637*a^5 - 192/637*a^4 + 135/637*a^3 + 303/637*a^2 - 38/91*a - 158/637, 1/637*a^20 + 6/637*a^18 + 6/637*a^17 - 9/637*a^16 + 3/637*a^15 - 18/637*a^14 - 37/637*a^13 - 1/637*a^12 - 12/637*a^11 + 151/637*a^10 + 99/637*a^9 + 215/637*a^8 + 256/637*a^7 - 142/637*a^6 + 216/637*a^5 + 180/637*a^4 + 248/637*a^3 - 37/637*a^2 + 103/637*a - 199/637, 1/637*a^21 + 5/637*a^18 - 4/637*a^17 - 43/637*a^16 + 37/637*a^15 + 17/637*a^14 - 1/637*a^13 - 24/637*a^12 - 27/637*a^11 + 254/637*a^10 + 2/7*a^9 - 272/637*a^8 - 12/637*a^7 + 110/637*a^6 + 87/637*a^5 + 48/637*a^4 + 102/637*a^3 + 66/637*a^2 - 267/637*a - 2/91, 1/4459*a^22 + 2/4459*a^21 + 1/4459*a^20 - 17/4459*a^18 + 22/4459*a^17 + 38/4459*a^16 + 285/4459*a^15 + 16/637*a^14 + 93/4459*a^13 + 23/637*a^12 - 177/4459*a^11 + 2112/4459*a^10 - 233/4459*a^9 + 1845/4459*a^8 - 256/4459*a^7 - 1986/4459*a^6 + 1940/4459*a^5 + 2105/4459*a^4 + 324/4459*a^3 - 1349/4459*a^2 + 1626/4459*a - 2141/4459, 1/10464073529*a^23 - 729737/10464073529*a^22 - 7075836/10464073529*a^21 - 433219/10464073529*a^20 - 915519/10464073529*a^19 + 11805489/10464073529*a^18 + 11556390/1494867647*a^17 + 16858549/337550759*a^16 + 220803491/10464073529*a^15 - 101456206/10464073529*a^14 + 514614983/10464073529*a^13 + 230268631/10464073529*a^12 - 404610146/10464073529*a^11 + 2649485780/10464073529*a^10 - 304820473/615533737*a^9 - 484023374/10464073529*a^8 - 11154938/48221537*a^7 - 3495187197/10464073529*a^6 - 4019645684/10464073529*a^5 + 135206532/804928733*a^4 - 4669651242/10464073529*a^3 + 2468021643/10464073529*a^2 + 402352137/804928733*a + 156605329/615533737, 1/5849417102711*a^24 + 121/5849417102711*a^23 + 7813840/95892083651*a^22 - 1946688777/5849417102711*a^21 + 274447122/5849417102711*a^20 - 2396008803/5849417102711*a^19 - 1880871352/835631014673*a^18 + 52653029652/5849417102711*a^17 - 178451204376/5849417102711*a^16 - 37743604855/835631014673*a^15 - 52107438094/835631014673*a^14 + 55250198222/835631014673*a^13 + 144416524040/5849417102711*a^12 - 312349803770/5849417102711*a^11 + 1107771349008/5849417102711*a^10 + 2771808646902/5849417102711*a^9 + 1986841436761/5849417102711*a^8 + 2199434628864/5849417102711*a^7 - 163032060848/835631014673*a^6 + 397755889534/5849417102711*a^5 - 400475197217/835631014673*a^4 - 2747940752896/5849417102711*a^3 - 2557546410962/5849417102711*a^2 + 2140695688518/5849417102711*a + 130832222127/344083358983], 0, 1, [], 1, [ (17281750516)/(5849417102711)*a^(24) - (77136842078)/(5849417102711)*a^(23) + (52737699250)/(5849417102711)*a^(22) + (22966648911)/(5849417102711)*a^(21) + (13559828039)/(5849417102711)*a^(20) + (749624309020)/(5849417102711)*a^(19) - (78341896482)/(5849417102711)*a^(18) - (155489245649)/(835631014673)*a^(17) + (39003166112)/(5849417102711)*a^(16) - (3409958693846)/(5849417102711)*a^(15) - (2788465662288)/(5849417102711)*a^(14) + (1986084096239)/(5849417102711)*a^(13) - (53097222299)/(344083358983)*a^(12) + (3634362670728)/(5849417102711)*a^(11) + (210569901184)/(80129001407)*a^(10) + (10076300177343)/(5849417102711)*a^(9) + (16306218335117)/(5849417102711)*a^(8) + (3403681636525)/(835631014673)*a^(7) + (7286061500990)/(5849417102711)*a^(6) - (2710106748584)/(5849417102711)*a^(5) - (15595748805528)/(5849417102711)*a^(4) - (33105440858650)/(5849417102711)*a^(3) - (40412900188571)/(5849417102711)*a^(2) - (25716498784820)/(5849417102711)*a - (857294907030)/(344083358983) , (19430232408)/(5849417102711)*a^(24) - (76550526642)/(5849417102711)*a^(23) - (4228383652)/(5849417102711)*a^(22) + (106813627595)/(5849417102711)*a^(21) + (125095409363)/(5849417102711)*a^(20) + (668314344361)/(5849417102711)*a^(19) + (404975693867)/(5849417102711)*a^(18) - (331252242872)/(835631014673)*a^(17) - (1685231320688)/(5849417102711)*a^(16) - (1699348388057)/(5849417102711)*a^(15) - (461295016319)/(835631014673)*a^(14) + (4871642373050)/(5849417102711)*a^(13) + (508999871495)/(344083358983)*a^(12) - (2061752344387)/(5849417102711)*a^(11) + (2157463524810)/(835631014673)*a^(10) + (17324527929220)/(5849417102711)*a^(9) - (1152691646459)/(5849417102711)*a^(8) + (1867090615254)/(835631014673)*a^(7) + (5169049374144)/(5849417102711)*a^(6) - (53931919126859)/(5849417102711)*a^(5) - (26722042023486)/(5849417102711)*a^(4) - (19135514638099)/(5849417102711)*a^(3) - (34619674967547)/(5849417102711)*a^(2) + (20727809980664)/(5849417102711)*a + (2613855892757)/(344083358983) , (64807917)/(119375859239)*a^(24) - (11327483864)/(5849417102711)*a^(23) - (3846809955)/(5849417102711)*a^(22) + (19930431795)/(5849417102711)*a^(21) - (13316169245)/(5849417102711)*a^(20) + (152900178443)/(5849417102711)*a^(19) + (135239504448)/(5849417102711)*a^(18) - (266428271815)/(5849417102711)*a^(17) - (88532579480)/(5849417102711)*a^(16) - (570087203964)/(5849417102711)*a^(15) - (93322631757)/(344083358983)*a^(14) + (253981253216)/(5849417102711)*a^(13) + (253752622677)/(5849417102711)*a^(12) - (3590597792)/(95892083651)*a^(11) + (5259485220615)/(5849417102711)*a^(10) + (883278788096)/(835631014673)*a^(9) + (2830837731048)/(5849417102711)*a^(8) + (129150024831)/(95892083651)*a^(7) + (2338465507918)/(5849417102711)*a^(6) - (1033190325101)/(835631014673)*a^(5) - (5149544326520)/(5849417102711)*a^(4) - (6623166914388)/(5849417102711)*a^(3) - (10960168756036)/(5849417102711)*a^(2) - (1431030229649)/(5849417102711)*a + (43441077675)/(344083358983) , (22489551436)/(5849417102711)*a^(24) - (138401668726)/(5849417102711)*a^(23) + (282505545719)/(5849417102711)*a^(22) - (346113729891)/(5849417102711)*a^(21) + (459980885521)/(5849417102711)*a^(20) + (378349691857)/(5849417102711)*a^(19) - (1043837463056)/(5849417102711)*a^(18) - (293107511435)/(5849417102711)*a^(17) + (831648786953)/(5849417102711)*a^(16) - (724346095065)/(835631014673)*a^(15) + (5293504724789)/(5849417102711)*a^(14) - (19655688069)/(119375859239)*a^(13) - (46805511897)/(344083358983)*a^(12) + (4459007010155)/(5849417102711)*a^(11) + (12552147400558)/(5849417102711)*a^(10) - (13555358473128)/(5849417102711)*a^(9) + (29295195841313)/(5849417102711)*a^(8) - (13372012194588)/(5849417102711)*a^(7) + (228759304218)/(5849417102711)*a^(6) - (16756525009520)/(5849417102711)*a^(5) + (7890693531862)/(5849417102711)*a^(4) - (44785791657101)/(5849417102711)*a^(3) + (3741450383456)/(835631014673)*a^(2) - (20299303061820)/(5849417102711)*a + (291326581997)/(344083358983) , (471373741)/(449955161747)*a^(24) - (1641329444)/(449955161747)*a^(23) - (307873474)/(449955161747)*a^(22) + (394815507)/(449955161747)*a^(21) + (1897763944)/(449955161747)*a^(20) + (24767999099)/(449955161747)*a^(19) + (18111510275)/(449955161747)*a^(18) - (524528006)/(9182758403)*a^(17) - (43248951155)/(449955161747)*a^(16) - (149783632517)/(449955161747)*a^(15) - (8969813900)/(26467950691)*a^(14) + (34907271267)/(449955161747)*a^(13) + (72685930936)/(449955161747)*a^(12) + (217082247442)/(449955161747)*a^(11) + (549558478628)/(449955161747)*a^(10) + (557519973412)/(449955161747)*a^(9) + (880946156921)/(449955161747)*a^(8) + (11301261709)/(4944562217)*a^(7) + (416851123966)/(449955161747)*a^(6) - (167852040522)/(449955161747)*a^(5) - (1184607351321)/(449955161747)*a^(4) - (1981847913805)/(449955161747)*a^(3) - (1837680849280)/(449955161747)*a^(2) - (1411934721720)/(449955161747)*a - (12068841308)/(26467950691) , (8594281874)/(5849417102711)*a^(24) - (41596419439)/(5849417102711)*a^(23) + (51864392240)/(5849417102711)*a^(22) - (1710824562)/(119375859239)*a^(21) + (221076870894)/(5849417102711)*a^(20) + (134036263658)/(5849417102711)*a^(19) + (31375583829)/(5849417102711)*a^(18) - (416022498198)/(5849417102711)*a^(17) - (133774764268)/(835631014673)*a^(16) - (1391291731866)/(5849417102711)*a^(15) + (104833272883)/(835631014673)*a^(14) - (428719458670)/(5849417102711)*a^(13) + (3405215879640)/(5849417102711)*a^(12) + (25016831563)/(95892083651)*a^(11) + (3618190045370)/(5849417102711)*a^(10) + (4594971389479)/(5849417102711)*a^(9) + (11003086050753)/(5849417102711)*a^(8) - (4835715224)/(5640710803)*a^(7) + (6786493653941)/(5849417102711)*a^(6) - (1152616271875)/(344083358983)*a^(5) - (13565817227019)/(5849417102711)*a^(4) - (16204795742885)/(5849417102711)*a^(3) - (6663403235696)/(5849417102711)*a^(2) - (202282522251)/(119375859239)*a + (11708552251)/(49154765569) , (244165520)/(449955161747)*a^(24) - (779247215)/(449955161747)*a^(23) - (17675225)/(14514682637)*a^(22) - (14809831)/(14514682637)*a^(21) + (57611739)/(3781135813)*a^(20) + (6798540491)/(449955161747)*a^(19) + (887434865)/(34611935519)*a^(18) - (185185990)/(3781135813)*a^(17) - (67293227842)/(449955161747)*a^(16) - (2809915078)/(34611935519)*a^(15) - (1859880531)/(449955161747)*a^(14) - (2733867624)/(449955161747)*a^(13) + (203883782694)/(449955161747)*a^(12) + (63100777916)/(449955161747)*a^(11) + (108300798239)/(449955161747)*a^(10) + (425127749374)/(449955161747)*a^(9) + (17830245633)/(34611935519)*a^(8) - (13243412865)/(64279308821)*a^(7) + (320019781413)/(449955161747)*a^(6) - (847575126506)/(449955161747)*a^(5) - (122180667545)/(64279308821)*a^(4) - (439586333474)/(449955161747)*a^(3) - (504540270295)/(449955161747)*a^(2) + (134218791284)/(449955161747)*a + (54279001410)/(26467950691) , (138187664)/(80129001407)*a^(24) - (52416274380)/(5849417102711)*a^(23) + (60632176686)/(5849417102711)*a^(22) + (3772425082)/(5849417102711)*a^(21) + (5433067555)/(5849417102711)*a^(20) + (339831510567)/(5849417102711)*a^(19) - (9288828832)/(344083358983)*a^(18) - (1001781952055)/(5849417102711)*a^(17) + (584121929841)/(5849417102711)*a^(16) - (183299504553)/(835631014673)*a^(15) - (1234139183281)/(5849417102711)*a^(14) + (30277771274)/(49154765569)*a^(13) + (541512512075)/(5849417102711)*a^(12) - (2876394887364)/(5849417102711)*a^(11) + (11292948112479)/(5849417102711)*a^(10) + (121739277103)/(5849417102711)*a^(9) - (1950016570365)/(5849417102711)*a^(8) + (10758090967433)/(5849417102711)*a^(7) - (4742398122639)/(5849417102711)*a^(6) - (20361672901435)/(5849417102711)*a^(5) + (5689738764685)/(5849417102711)*a^(4) - (15631666588596)/(5849417102711)*a^(3) - (11872232580879)/(5849417102711)*a^(2) + (7552552340913)/(5849417102711)*a - (22370203451)/(344083358983) , (1361415187)/(449955161747)*a^(24) - (5161788861)/(449955161747)*a^(23) - (83655291)/(26467950691)*a^(22) + (12159370352)/(449955161747)*a^(21) - (8292143490)/(449955161747)*a^(20) + (4265956168)/(26467950691)*a^(19) + (12944838759)/(449955161747)*a^(18) - (139500762034)/(449955161747)*a^(17) - (28513805193)/(449955161747)*a^(16) - (220952196620)/(449955161747)*a^(15) - (373399232807)/(449955161747)*a^(14) + (412483608482)/(449955161747)*a^(13) - (43195892886)/(449955161747)*a^(12) + (188236968152)/(449955161747)*a^(11) + (1410095048771)/(449955161747)*a^(10) + (141316898250)/(64279308821)*a^(9) + (804585588213)/(449955161747)*a^(8) + (2808266561557)/(449955161747)*a^(7) - (515230195797)/(449955161747)*a^(6) - (27752390565)/(64279308821)*a^(5) - (2005439091)/(540162259)*a^(4) - (2705428572016)/(449955161747)*a^(3) - (3313567581199)/(449955161747)*a^(2) - (683043214228)/(449955161747)*a - (95519336569)/(26467950691) , (38326014005)/(5849417102711)*a^(24) - (346152018)/(11099463193)*a^(23) + (123882663362)/(5849417102711)*a^(22) + (25358116076)/(835631014673)*a^(21) + (87032198467)/(5849417102711)*a^(20) + (1239654221874)/(5849417102711)*a^(19) - (451437904282)/(5849417102711)*a^(18) - (4652953804383)/(5849417102711)*a^(17) + (6783627737)/(835631014673)*a^(16) - (2380175419997)/(5849417102711)*a^(15) - (2307516664457)/(5849417102711)*a^(14) + (13307320979453)/(5849417102711)*a^(13) + (8455398583764)/(5849417102711)*a^(12) - (7585646703204)/(5849417102711)*a^(11) + (27767537174228)/(5849417102711)*a^(10) + (9383915426901)/(5849417102711)*a^(9) - (14630069041347)/(5849417102711)*a^(8) + (9347974495214)/(5849417102711)*a^(7) - (19616979226801)/(5849417102711)*a^(6) - (91729693486309)/(5849417102711)*a^(5) - (17415119603127)/(5849417102711)*a^(4) - (7546920351002)/(5849417102711)*a^(3) - (10313208529515)/(5849417102711)*a^(2) + (7570845909331)/(835631014673)*a + (4685726539730)/(344083358983) , (6267879094)/(5849417102711)*a^(24) - (47815148761)/(5849417102711)*a^(23) + (116580119771)/(5849417102711)*a^(22) - (77359409853)/(5849417102711)*a^(21) - (800968132)/(119375859239)*a^(20) + (155538760089)/(5849417102711)*a^(19) - (471229086947)/(5849417102711)*a^(18) - (203965776893)/(5849417102711)*a^(17) + (1871438011117)/(5849417102711)*a^(16) - (1450933444594)/(5849417102711)*a^(15) - (11848142832)/(5849417102711)*a^(14) + (2027693330758)/(5849417102711)*a^(13) - (2428180025580)/(5849417102711)*a^(12) - (371104171458)/(835631014673)*a^(11) + (6835686220705)/(5849417102711)*a^(10) - (8535138192019)/(5849417102711)*a^(9) + (547816947799)/(5849417102711)*a^(8) + (2979786070592)/(5849417102711)*a^(7) + (117982403684)/(835631014673)*a^(6) - (675047544144)/(5849417102711)*a^(5) + (15128926451452)/(5849417102711)*a^(4) - (1188202422451)/(835631014673)*a^(3) + (495621135942)/(344083358983)*a^(2) - (7094251833891)/(5849417102711)*a - (409274616722)/(344083358983) , (711925619)/(5849417102711)*a^(24) - (12955134340)/(5849417102711)*a^(23) + (28436863482)/(5849417102711)*a^(22) + (60549451078)/(5849417102711)*a^(21) - (6220381225)/(344083358983)*a^(20) - (29614653002)/(5849417102711)*a^(19) - (342411188661)/(5849417102711)*a^(18) - (1479704634)/(11099463193)*a^(17) + (1246545931833)/(5849417102711)*a^(16) + (1487632808433)/(5849417102711)*a^(15) + (487172867288)/(5849417102711)*a^(14) + (4271971491877)/(5849417102711)*a^(13) - (51875880891)/(835631014673)*a^(12) - (88231109877)/(80129001407)*a^(11) + (2347366722244)/(5849417102711)*a^(10) - (8181521361918)/(5849417102711)*a^(9) - (92272697484)/(26955839183)*a^(8) - (4822591915391)/(5849417102711)*a^(7) - (15756440528277)/(5849417102711)*a^(6) - (21166817518685)/(5849417102711)*a^(5) + (19360849412251)/(5849417102711)*a^(4) + (22406553414269)/(5849417102711)*a^(3) + (16207009967271)/(5849417102711)*a^(2) + (33486454613294)/(5849417102711)*a + (56457459722)/(11099463193) ], 11203233087.777065, [[x^5 - x^4 - 3*x^3 - 7*x^2 + 16*x + 11, 1]]]