/* 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^24 + 10*x^20 - 14*x^18 + 37*x^16 - 154*x^14 + 97*x^12 - 616*x^10 + 592*x^8 - 896*x^6 + 2560*x^4 + 4096, 24, 135, [0, 12], 4367896108464230086685082523795456, [2, 7, 239], [1, a, a^2, a^3, a^4, a^5, a^6, 1/2*a^7 - 1/2*a^3 - 1/2*a, 1/4*a^8 - 1/2*a^6 + 1/4*a^4 + 1/4*a^2, 1/4*a^9 + 1/4*a^5 - 1/4*a^3 - 1/2*a, 1/4*a^10 + 1/4*a^6 - 1/4*a^4 - 1/2*a^2, 1/4*a^11 - 1/4*a^7 - 1/4*a^5 - 1/2*a, 1/4*a^12 + 1/4*a^6 + 1/4*a^4 - 1/4*a^2, 1/4*a^13 - 1/4*a^7 + 1/4*a^5 + 1/4*a^3 - 1/2*a, 1/4*a^14 - 1/4*a^6 - 1/2*a^4 - 1/4*a^2, 1/8*a^15 - 1/8*a^7 - 1/4*a^5 + 3/8*a^3, 1/16*a^16 - 1/8*a^12 - 1/8*a^10 + 1/16*a^8 - 1/8*a^6 + 5/16*a^4 - 1/2*a^2, 1/32*a^17 + 1/16*a^13 + 1/16*a^11 - 3/32*a^9 - 1/16*a^7 + 1/32*a^5 - 1/4*a^3 - 1/2*a, 1/256*a^18 - 1/64*a^16 - 3/128*a^14 + 5/128*a^12 - 3/256*a^10 - 7/128*a^8 - 7/256*a^6 - 3/64*a^4 - 1/8*a^2 + 1/4, 1/512*a^19 - 1/128*a^17 - 3/256*a^15 - 27/256*a^13 + 61/512*a^11 + 25/256*a^9 + 121/512*a^7 - 19/128*a^5 - 1/16*a^3 - 3/8*a, 1/1024*a^20 - 11/512*a^16 + 25/512*a^14 - 27/1024*a^12 - 45/512*a^10 + 65/1024*a^8 - 61/128*a^6 - 21/64*a^4 - 1/16*a^2 + 1/4, 1/2048*a^21 - 11/1024*a^17 + 25/1024*a^15 - 27/2048*a^13 - 45/1024*a^11 + 65/2048*a^9 - 61/256*a^7 - 21/128*a^5 - 1/32*a^3 - 3/8*a, 1/167936*a^22 + 5/10496*a^20 - 75/83968*a^18 + 553/83968*a^16 + 12421/167936*a^14 - 485/83968*a^12 + 20897/167936*a^10 - 371/20992*a^8 - 3077/10496*a^6 - 1161/2624*a^4 - 291/656*a^2 - 20/41, 1/335872*a^23 + 5/20992*a^21 - 75/167936*a^19 + 553/167936*a^17 + 12421/335872*a^15 - 485/167936*a^13 - 21087/335872*a^11 + 4877/41984*a^9 - 453/20992*a^7 + 151/5248*a^5 + 201/1312*a^3 - 10/41*a], 1, 4, [4], 1, [ (13)/(83968)*a^(22) - (13)/(41984)*a^(20) + (501)/(41984)*a^(18) - (109)/(41984)*a^(16) + (6493)/(83968)*a^(14) - (1697)/(20992)*a^(12) + (12377)/(83968)*a^(10) - (24745)/(41984)*a^(8) - (503)/(10496)*a^(6) - (401)/(328)*a^(4) - (63)/(656)*a^(2) - (28)/(41) , (219)/(167936)*a^(22) + (29)/(10496)*a^(20) + (303)/(83968)*a^(18) + (403)/(83968)*a^(16) - (12697)/(167936)*a^(14) - (2567)/(83968)*a^(12) - (76565)/(167936)*a^(10) + (7639)/(20992)*a^(8) - (1401)/(2624)*a^(6) + (1779)/(656)*a^(4) + (477)/(656)*a^(2) + (643)/(164) , (221)/(167936)*a^(23) - (221)/(83968)*a^(21) + (973)/(83968)*a^(19) - (3165)/(83968)*a^(17) + (11981)/(167936)*a^(15) - (8841)/(41984)*a^(13) + (66745)/(167936)*a^(11) - (52649)/(83968)*a^(9) + (28267)/(20992)*a^(7) - (3775)/(2624)*a^(5) + (2373)/(1312)*a^(3) - (583)/(164)*a , (475)/(335872)*a^(23) + (117)/(41984)*a^(21) + (1439)/(167936)*a^(19) + (2571)/(167936)*a^(17) - (8617)/(335872)*a^(15) + (373)/(167936)*a^(13) - (122533)/(335872)*a^(11) + (1493)/(20992)*a^(9) - (10561)/(10496)*a^(7) + (113)/(82)*a^(5) - (629)/(1312)*a^(3) + (1155)/(328)*a + 1 , (221)/(167936)*a^(23) - (221)/(83968)*a^(21) + (973)/(83968)*a^(19) - (3165)/(83968)*a^(17) + (11981)/(167936)*a^(15) - (8841)/(41984)*a^(13) + (66745)/(167936)*a^(11) - (52649)/(83968)*a^(9) + (28267)/(20992)*a^(7) - (3775)/(2624)*a^(5) + (2373)/(1312)*a^(3) - (419)/(164)*a - 1 , (355)/(335872)*a^(23) + (147)/(41984)*a^(21) + (927)/(167936)*a^(19) + (2467)/(167936)*a^(17) - (11329)/(335872)*a^(15) - (1451)/(167936)*a^(13) - (99981)/(335872)*a^(11) + (171)/(10496)*a^(9) - (11903)/(20992)*a^(7) + (4979)/(5248)*a^(5) - (67)/(1312)*a^(3) + (355)/(164)*a - 1 , (1)/(512)*a^(23) - (89)/(41984)*a^(22) + (1)/(512)*a^(21) - (109)/(41984)*a^(20) + (9)/(512)*a^(19) - (295)/(20992)*a^(18) - (29)/(10496)*a^(16) + (29)/(512)*a^(15) + (465)/(41984)*a^(14) - (63)/(512)*a^(13) + (4289)/(41984)*a^(12) + (5)/(256)*a^(11) + (12309)/(41984)*a^(10) - (313)/(512)*a^(9) + (9747)/(41984)*a^(8) - (17)/(512)*a^(7) + (6001)/(10496)*a^(6) - (153)/(128)*a^(5) - (385)/(328)*a^(4) + (5)/(16)*a^(3) - (749)/(656)*a^(2) - (5)/(8)*a - (315)/(82) , (389)/(167936)*a^(23) + (119)/(167936)*a^(22) - (133)/(41984)*a^(21) + (125)/(41984)*a^(20) + (1165)/(83968)*a^(19) + (259)/(83968)*a^(18) - (4151)/(83968)*a^(17) + (2339)/(83968)*a^(16) + (9185)/(167936)*a^(15) - (6757)/(167936)*a^(14) - (24747)/(83968)*a^(13) + (8951)/(83968)*a^(12) + (47669)/(167936)*a^(11) - (73297)/(167936)*a^(10) - (26115)/(41984)*a^(9) + (15719)/(41984)*a^(8) + (29563)/(20992)*a^(7) - (15121)/(10496)*a^(6) - (1627)/(5248)*a^(5) + (519)/(328)*a^(4) + (2011)/(656)*a^(3) - (689)/(328)*a^(2) + (39)/(328)*a + (525)/(164) , (345)/(335872)*a^(23) + (9)/(167936)*a^(22) - (111)/(83968)*a^(21) - (115)/(20992)*a^(20) + (1021)/(167936)*a^(19) + (637)/(83968)*a^(18) - (1915)/(167936)*a^(17) - (3223)/(83968)*a^(16) - (731)/(335872)*a^(15) + (14045)/(167936)*a^(14) - (13083)/(167936)*a^(13) - (11089)/(83968)*a^(12) - (21295)/(335872)*a^(11) + (75897)/(167936)*a^(10) - (5193)/(83968)*a^(9) - (1345)/(2624)*a^(8) - (157)/(20992)*a^(7) + (10683)/(10496)*a^(6) + (1267)/(1312)*a^(5) - (3643)/(2624)*a^(4) + (229)/(328)*a^(3) + (579)/(656)*a^(2) + (731)/(328)*a - (155)/(82) , (231)/(335872)*a^(23) + (195)/(167936)*a^(22) - (17)/(10496)*a^(21) - (241)/(41984)*a^(20) + (59)/(167936)*a^(19) + (1447)/(83968)*a^(18) - (177)/(167936)*a^(17) - (5161)/(83968)*a^(16) - (11901)/(335872)*a^(15) + (15559)/(167936)*a^(14) + (14245)/(167936)*a^(13) - (25121)/(83968)*a^(12) - (93449)/(335872)*a^(11) + (53307)/(167936)*a^(10) + (25573)/(41984)*a^(9) - (22551)/(41984)*a^(8) - (10563)/(10496)*a^(7) + (2301)/(2624)*a^(6) + (5161)/(2624)*a^(5) + (1483)/(2624)*a^(4) - (2523)/(1312)*a^(3) + (471)/(328)*a^(2) + (1077)/(328)*a + (159)/(41) , (93)/(83968)*a^(23) + (13)/(167936)*a^(22) - (93)/(41984)*a^(21) + (7)/(20992)*a^(20) + (405)/(41984)*a^(19) + (665)/(83968)*a^(18) - (1789)/(41984)*a^(17) + (957)/(83968)*a^(16) + (3053)/(83968)*a^(15) + (8625)/(167936)*a^(14) - (5025)/(20992)*a^(13) + (2387)/(83968)*a^(12) + (13961)/(83968)*a^(11) + (14509)/(167936)*a^(10) - (19481)/(41984)*a^(9) - (2719)/(10496)*a^(8) + (11149)/(10496)*a^(7) - (193)/(328)*a^(6) + (359)/(656)*a^(5) - (1499)/(1312)*a^(4) + (1675)/(656)*a^(3) - (1159)/(656)*a^(2) + (93)/(41)*a - (97)/(164) ], 32831618.65116483, [[x^2 + 1, 1], [x^2 - 7, 1], [x^2 - x + 2, 1], [x^3 - x^2 - 2*x + 1, 1], [x^4 - 3*x^2 + 4, 1], [x^6 + 42*x^4 + 525*x^2 + 1673, 1], [x^6 - 2*x^5 - 10*x^4 + 13*x^3 + 30*x^2 - 11*x - 13, 1], [x^6 - x^5 + 4*x^4 - 3*x^3 + 8*x^2 - 4*x + 8, 1], [x^6 - 19*x^4 + 118*x^2 - 239, 1], [x^6 + 5*x^4 + 6*x^2 + 1, 1], [x^6 - 7*x^4 + 14*x^2 - 7, 1], [x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, 1], [x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1, 1], [x^12 + 24*x^10 + 226*x^8 + 1042*x^6 + 2349*x^4 + 2070*x^2 + 1, 1], [x^12 - 7*x^10 + 26*x^8 - 63*x^6 + 104*x^4 - 112*x^2 + 64, 1], [x^12 - 2*x^11 - 5*x^10 + 59*x^8 + 8*x^7 - 71*x^6 - 124*x^5 + 593*x^4 + 910*x^3 + 1957*x^2 + 2134*x + 2633, 1], [x^12 - 13*x^10 + 57*x^8 - 97*x^6 + 57*x^4 - 13*x^2 + 1, 1], [x^12 - 5*x^11 + 9*x^10 - 7*x^9 + 3*x^8 - x^7 - x^6 - 2*x^5 + 12*x^4 - 56*x^3 + 144*x^2 - 160*x + 64, 1], [x^12 + 11*x^10 + 65*x^8 + 295*x^6 + 1257*x^4 + 2151*x^2 + 57121, 1]]]