/* 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^32 + 6*x^28 + 315*x^24 - 2036*x^20 + 5109*x^16 - 2036*x^12 + 315*x^8 + 6*x^4 + 1, 32, 262, [0, 16], 550026747803854214004736000000000000000000000000, [2, 5, 29], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, 1/8*a^16 - 1/8*a^12 + 1/8*a^8 - 1/8*a^4 + 1/8, 1/8*a^17 - 1/8*a^13 + 1/8*a^9 - 1/8*a^5 + 1/8*a, 1/8*a^18 - 1/8*a^14 + 1/8*a^10 - 1/8*a^6 + 1/8*a^2, 1/8*a^19 - 1/8*a^15 + 1/8*a^11 - 1/8*a^7 + 1/8*a^3, 1/264*a^20 + 1/22*a^16 - 3/22*a^12 - 3/22*a^8 + 1/22*a^4 - 131/264, 1/264*a^21 + 1/22*a^17 - 3/22*a^13 - 3/22*a^9 + 1/22*a^5 - 131/264*a, 1/264*a^22 + 1/22*a^18 - 3/22*a^14 - 3/22*a^10 + 1/22*a^6 - 131/264*a^2, 1/264*a^23 + 1/22*a^19 - 3/22*a^15 - 3/22*a^11 + 1/22*a^7 - 131/264*a^3, 1/46728*a^24 - 7/23364*a^20 - 36/649*a^16 + 527/1947*a^12 - 95/649*a^8 - 5855/46728*a^4 + 9293/23364, 1/46728*a^25 - 7/23364*a^21 - 36/649*a^17 + 527/1947*a^13 - 95/649*a^9 - 5855/46728*a^5 + 9293/23364*a, 1/46728*a^26 - 7/23364*a^22 - 36/649*a^18 + 527/1947*a^14 - 95/649*a^10 - 5855/46728*a^6 + 9293/23364*a^2, 1/46728*a^27 - 7/23364*a^23 - 36/649*a^19 + 527/1947*a^15 - 95/649*a^11 - 5855/46728*a^7 + 9293/23364*a^3, 1/5747544*a^28 - 17/2873772*a^24 - 4967/5747544*a^20 + 12068/239481*a^16 + 25283/239481*a^12 + 203161/5747544*a^8 - 1104605/2873772*a^4 + 92905/5747544, 1/5747544*a^29 - 17/2873772*a^25 - 4967/5747544*a^21 + 12068/239481*a^17 + 25283/239481*a^13 + 203161/5747544*a^9 - 1104605/2873772*a^5 + 92905/5747544*a, 1/5747544*a^30 - 17/2873772*a^26 - 4967/5747544*a^22 + 12068/239481*a^18 + 25283/239481*a^14 + 203161/5747544*a^10 - 1104605/2873772*a^6 + 92905/5747544*a^2, 1/5747544*a^31 - 17/2873772*a^27 - 4967/5747544*a^23 + 12068/239481*a^19 + 25283/239481*a^15 + 203161/5747544*a^11 - 1104605/2873772*a^7 + 92905/5747544*a^3], 1, 18, [3, 6], 1, [ (209389)/(5747544)*a^(28) + (1242437)/(5747544)*a^(24) + (65865709)/(5747544)*a^(20) - (17947804)/(239481)*a^(16) + (45640721)/(239481)*a^(12) - (481175291)/(5747544)*a^(8) + (54919445)/(5747544)*a^(4) - (1387811)/(5747544) , (140947)/(5747544)*a^(28) + (836651)/(5747544)*a^(24) + (11084797)/(1436886)*a^(20) - (8783173)/(174168)*a^(16) + (245641375)/(1915848)*a^(12) - (161853601)/(2873772)*a^(8) + (5469712)/(718443)*a^(4) - (933641)/(5747544) , (475001)/(2873772)*a^(30) + (514261)/(522504)*a^(26) + (27181883)/(522504)*a^(22) - (649245233)/(1915848)*a^(18) + (1648078705)/(1915848)*a^(14) - (2171433977)/(5747544)*a^(10) + (212611825)/(2873772)*a^(6) - (3131473)/(2873772)*a^(2) - 1 , (203897)/(5747544)*a^(30) + (1254505)/(5747544)*a^(26) + (64413641)/(5747544)*a^(22) - (33777697)/(478962)*a^(18) + (81512603)/(478962)*a^(14) - (254131219)/(5747544)*a^(10) - (6464867)/(5747544)*a^(6) + (2224231)/(522504)*a^(2) - 1 , (933641)/(5747544)*a^(31) + (5742793)/(5747544)*a^(27) + (2499437)/(48708)*a^(23) - (77356412)/(239481)*a^(19) + (186671965)/(239481)*a^(15) - (1163968951)/(5747544)*a^(11) - (29610287)/(5747544)*a^(7) + (24679771)/(2873772)*a^(3) + 1 , (45929)/(957924)*a^(29) + (94157)/(319308)*a^(25) + (29016863)/(1915848)*a^(21) - (60895325)/(638616)*a^(17) + (146947109)/(638616)*a^(13) - (114533597)/(1915848)*a^(9) - (971209)/(638616)*a^(5) + (458593)/(239481)*a + 1 , (77683)/(212872)*a^(31) + (4225729)/(1915848)*a^(27) + (220420543)/(1915848)*a^(23) - (157079993)/(212872)*a^(19) + (1170151891)/(638616)*a^(15) - (70768127)/(106436)*a^(11) + (87564365)/(957924)*a^(7) + (6949103)/(957924)*a^(3) - 1 , (298489)/(5747544)*a^(30) - (45929)/(957924)*a^(29) + (152563)/(522504)*a^(26) - (94157)/(319308)*a^(25) + (93335503)/(5747544)*a^(22) - (29016863)/(1915848)*a^(21) - (214437479)/(1915848)*a^(18) + (60895325)/(638616)*a^(17) + (583564087)/(1915848)*a^(14) - (146947109)/(638616)*a^(13) - (290014655)/(1436886)*a^(10) + (114533597)/(1915848)*a^(9) + (133193983)/(2873772)*a^(6) + (971209)/(638616)*a^(5) - (9432895)/(2873772)*a^(2) - (458593)/(239481)*a , (61667)/(2873772)*a^(28) + (711515)/(5747544)*a^(24) + (38677027)/(5747544)*a^(20) - (10837528)/(239481)*a^(16) + (28640015)/(239481)*a^(12) - (196923433)/(2873772)*a^(8) + (89693075)/(5747544)*a^(4) - (6365789)/(5747544) , (8857)/(53218)*a^(30) + (209389)/(5747544)*a^(29) + (2410)/(2419)*a^(26) + (1242437)/(5747544)*a^(25) + (1394530)/(26609)*a^(22) + (65865709)/(5747544)*a^(21) - (9036150)/(26609)*a^(18) - (17947804)/(239481)*a^(17) + (22723590)/(26609)*a^(14) + (45640721)/(239481)*a^(13) - (18337285)/(53218)*a^(10) - (481175291)/(5747544)*a^(9) + (1136660)/(26609)*a^(6) + (54919445)/(5747544)*a^(5) + (90220)/(26609)*a^(2) - (1387811)/(5747544)*a - 1 , (75695)/(957924)*a^(30) + (83731)/(957924)*a^(29) + (54047)/(1915848)*a^(28) + (465577)/(957924)*a^(26) + (488783)/(957924)*a^(25) + (335443)/(1915848)*a^(24) + (5977889)/(239481)*a^(22) + (6572881)/(239481)*a^(21) + (17095757)/(1915848)*a^(20) - (100351511)/(638616)*a^(18) - (116516089)/(638616)*a^(17) - (35499457)/(638616)*a^(16) + (242161327)/(638616)*a^(14) + (303204833)/(638616)*a^(13) + (84890681)/(638616)*a^(12) - (188745647)/(1915848)*a^(10) - (471396613)/(1915848)*a^(9) - (15141553)/(478962)*a^(8) - (4801513)/(1915848)*a^(6) + (86641033)/(1915848)*a^(5) + (6300623)/(957924)*a^(4) + (4628923)/(1915848)*a^(2) + (1866917)/(1915848)*a - (458159)/(957924) , (264239)/(638616)*a^(31) - (285475)/(5747544)*a^(29) + (471593)/(5747544)*a^(28) + (590497)/(239481)*a^(27) - (7279)/(24354)*a^(25) + (2788897)/(5747544)*a^(24) + (249507125)/(1915848)*a^(23) - (44982149)/(2873772)*a^(21) + (74151091)/(2873772)*a^(20) - (90232357)/(106436)*a^(19) + (193198595)/(1915848)*a^(17) - (324334393)/(1915848)*a^(16) + (685718095)/(319308)*a^(15) - (483792163)/(1915848)*a^(13) + (830131385)/(1915848)*a^(12) - (589723495)/(638616)*a^(11) + (287772751)/(2873772)*a^(9) - (577825349)/(2873772)*a^(8) + (145013701)/(957924)*a^(7) - (127496813)/(5747544)*a^(5) + (844661)/(24354)*a^(4) + (5782043)/(1915848)*a^(3) + (828613)/(522504)*a + (4121555)/(5747544) , (2605)/(14514)*a^(31) + (40781)/(478962)*a^(29) - (285475)/(5747544)*a^(28) + (1020035)/(957924)*a^(27) + (110087)/(212872)*a^(25) - (7279)/(24354)*a^(24) + (4917445)/(87084)*a^(23) + (51459313)/(1915848)*a^(21) - (44982149)/(2873772)*a^(20) - (9824070)/(26609)*a^(19) - (109436461)/(638616)*a^(17) + (193198595)/(1915848)*a^(16) + (6840229)/(7257)*a^(15) + (269947525)/(638616)*a^(13) - (483792163)/(1915848)*a^(12) - (69245785)/(159654)*a^(11) - (276558907)/(1915848)*a^(9) + (287772751)/(2873772)*a^(8) + (8472505)/(87084)*a^(7) + (6723997)/(319308)*a^(5) - (127496813)/(5747544)*a^(4) - (6640705)/(957924)*a^(3) + (145519)/(87084)*a + (828613)/(522504) , (2245931)/(5747544)*a^(31) - (973979)/(5747544)*a^(30) + (40781)/(478962)*a^(29) + (1669718)/(718443)*a^(27) - (520145)/(522504)*a^(26) + (110087)/(212872)*a^(25) + (353372341)/(2873772)*a^(23) - (153025663)/(2873772)*a^(22) + (51459313)/(1915848)*a^(21) - (1536646825)/(1915848)*a^(19) + (259585)/(738)*a^(18) - (109436461)/(638616)*a^(17) + (354822643)/(174168)*a^(15) - (434936471)/(478962)*a^(14) + (269947525)/(638616)*a^(13) - (642856226)/(718443)*a^(11) + (233621867)/(522504)*a^(10) - (276558907)/(1915848)*a^(9) + (874271059)/(5747544)*a^(7) - (459263095)/(5747544)*a^(6) + (6723997)/(319308)*a^(5) - (14833177)/(5747544)*a^(3) - (441923)/(261252)*a^(2) + (145519)/(87084)*a , (1063435)/(5747544)*a^(30) - (471593)/(5747544)*a^(29) + (27539)/(718443)*a^(28) + (793171)/(718443)*a^(26) - (2788897)/(5747544)*a^(25) + (1307705)/(5747544)*a^(24) + (334764031)/(5747544)*a^(22) - (74151091)/(2873772)*a^(21) + (69308869)/(5747544)*a^(20) - (725432837)/(1915848)*a^(18) + (324334393)/(1915848)*a^(17) - (151017641)/(1915848)*a^(16) + (1834247989)/(1915848)*a^(14) - (830131385)/(1915848)*a^(13) + (384318793)/(1915848)*a^(12) - (583334033)/(1436886)*a^(10) + (577825349)/(2873772)*a^(9) - (514811507)/(5747544)*a^(8) + (378679031)/(5747544)*a^(6) - (844661)/(24354)*a^(5) + (21653963)/(1436886)*a^(4) + (936530)/(718443)*a^(2) - (4121555)/(5747544)*a + (879953)/(2873772) ], 76396638760.7958, [[x^2 + 5, 1], [x^2 - 10, 1], [x^2 + 10, 1], [x^2 - x - 1, 1], [x^2 + 2, 1], [x^2 - 2, 1], [x^2 + 1, 1], [x^4 + 50*x^2 + 580, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - 25*x^2 + 145, 1], [x^4 - 10*x^2 + 20, 1], [x^4 - x^3 + 6*x^2 - x + 11, 1], [x^4 + 10*x^2 + 20, 1], [x^4 - 50*x^2 + 580, 1], [x^4 - 5*x^2 + 5, 1], [x^4 + 1, 1], [x^4 - 22*x^2 + 116, 1], [x^4 - 4*x^2 + 9, 1], [x^4 + 6*x^2 + 4, 1], [x^4 + 4*x^2 + 9, 1], [x^4 - 6*x^2 + 4, 1], [x^4 + 22*x^2 + 116, 1], [x^4 + 3*x^2 + 1, 1], [x^4 + 25, 1], [x^4 - x^3 - 3*x^2 + x + 1, 1], [x^4 + 11*x^2 + 29, 1], [x^8 - 8*x^6 + 43*x^4 - 108*x^2 + 121, 1], [x^8 - 14*x^6 + 52*x^4 - 56*x^2 + 16, 1], [x^8 + 7*x^4 + 1, 1], [x^8 + 63*x^4 + 841, 1], [x^8 + 14*x^6 + 52*x^4 + 56*x^2 + 16, 1], [x^8 + 8*x^6 + 43*x^4 + 108*x^2 + 121, 1], [x^8 + 7*x^6 + 13*x^4 + 7*x^2 + 1, 1], [x^8 + 6*x^6 + 136*x^4 + 1856*x^2 + 13456, 1], [x^8 - 16*x^6 + 71*x^4 - 56*x^2 + 1, 1], [x^8 - 6*x^6 + 36*x^4 - 96*x^2 + 256, 1], [x^8 - 44*x^6 + 586*x^4 - 2204*x^2 + 841, 1], [x^8 + 28*x^6 + 239*x^4 + 772*x^2 + 841, 1], [x^8 - 2*x^6 + 4*x^4 - 8*x^2 + 16, 1], [x^8 - 2*x^7 + 21*x^6 - 26*x^5 + 114*x^4 - 98*x^3 + 9*x^2 + 46*x + 11, 1], [x^8 + 8*x^6 + 19*x^4 + 12*x^2 + 1, 1], [x^8 - 2*x^7 + 5*x^6 - 2*x^5 + 54*x^4 - 18*x^3 + 185*x^2 - 138*x + 711, 1], [x^8 + 2*x^6 + 4*x^4 + 8*x^2 + 16, 1], [x^8 - 28*x^6 + 239*x^4 - 772*x^2 + 841, 1], [x^8 - 8*x^6 + 19*x^4 - 12*x^2 + 1, 1], [x^8 + 44*x^6 + 586*x^4 + 2204*x^2 + 841, 1], [x^8 - 6*x^6 + 136*x^4 - 1856*x^2 + 13456, 1], [x^8 + 16*x^6 + 71*x^4 + 56*x^2 + 1, 1], [x^8 + 6*x^6 + 36*x^4 + 96*x^2 + 256, 1], [x^8 + 335*x^4 + 21025, 1], [x^8 - 11*x^6 + 56*x^4 - 131*x^2 + 121, 1], [x^8 - x^6 + x^4 - x^2 + 1, 1], [x^8 + 15*x^4 + 25, 1], [x^8 - 2*x^7 + 15*x^6 - 12*x^5 + 129*x^4 + 12*x^3 + 525*x^2 - 118*x + 1321, 1], [x^8 - 3*x^7 + 5*x^6 - 3*x^5 + 4*x^4 + 3*x^3 + 5*x^2 + 3*x + 1, 1], [x^8 - 15*x^6 + 70*x^4 - 100*x^2 + 25, 1], [x^8 - 2*x^7 - 25*x^6 + 48*x^5 + 159*x^4 - 268*x^3 - 235*x^2 + 482*x - 149, 1], [x^8 + 20*x^6 + 195*x^4 + 1000*x^2 + 3025, 1], [x^8 - 3*x^6 + 34*x^4 - 232*x^2 + 841, 1], [x^8 + 3*x^6 + 9*x^4 + 12*x^2 + 16, 1], [x^8 - 20*x^6 + 195*x^4 - 1000*x^2 + 3025, 1], [x^16 + 23*x^12 + 73*x^8 + 23*x^4 + 1, 1], [x^16 + 4*x^14 - 15*x^12 - 184*x^10 - 306*x^8 + 1156*x^6 + 6340*x^4 + 15004*x^2 + 14641, 1], [x^16 - 16*x^14 + 75*x^12 - 4*x^10 - 591*x^8 + 56*x^6 + 4040*x^4 - 5856*x^2 + 5776, 1], [x^16 + 2*x^14 + 60*x^12 + 472*x^10 + 1664*x^8 + 1888*x^6 + 960*x^4 + 128*x^2 + 256, 1], [x^16 - 28*x^14 + 225*x^12 - 728*x^10 + 1134*x^8 - 892*x^6 + 340*x^4 - 52*x^2 + 1, 1], [x^16 + 9*x^12 + 496*x^8 + 3609*x^4 + 14641, 1], [x^16 - x^12 + x^8 - x^4 + 1, 1], [x^16 - 4*x^12 + 1446*x^8 - 49619*x^4 + 707281, 1], [x^16 - 9*x^12 + 41*x^8 - 144*x^4 + 256, 1], [x^16 + 28*x^14 + 225*x^12 + 728*x^10 + 1134*x^8 + 892*x^6 + 340*x^4 + 52*x^2 + 1, 1], [x^16 - 2*x^14 + 60*x^12 - 472*x^10 + 1664*x^8 - 1888*x^6 + 960*x^4 - 128*x^2 + 256, 1], [x^16 + 16*x^14 + 75*x^12 + 4*x^10 - 591*x^8 - 56*x^6 + 4040*x^4 + 5856*x^2 + 5776, 1], [x^16 - 4*x^14 - 15*x^12 + 184*x^10 - 306*x^8 - 1156*x^6 + 6340*x^4 - 15004*x^2 + 14641, 1], [x^16 + 85*x^12 + 1950*x^8 + 6500*x^4 + 625, 1], [x^16 - x^14 + 15*x^12 - 59*x^10 + 104*x^8 - 59*x^6 + 15*x^4 - x^2 + 1, 1]]]