/* 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 + 49*x^24 - 248*x^20 + 1072*x^16 - 3968*x^12 + 12544*x^8 - 24576*x^4 + 65536, 32, 96908, [0, 16], 368622913612148362854567389427658855145582683488256, [2, 41, 1277], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6 - 1/2*a^2, 1/2*a^7 - 1/2*a^3, 1/4*a^8 + 1/4*a^4, 1/8*a^9 - 1/4*a^7 - 3/8*a^5 - 1/2*a^4 - 1/4*a^3 - 1/2*a^2 - 1/2*a, 1/8*a^10 + 1/8*a^6 - 1/2*a^5 - 1/2*a^3, 1/8*a^11 + 1/8*a^7 - 1/2*a^4 - 1/2*a^2, 1/16*a^12 - 1/16*a^10 - 1/16*a^8 + 3/16*a^6 - 1/8*a^4 - 1/2*a^3 + 1/4*a^2, 1/16*a^13 - 1/16*a^11 - 1/16*a^9 + 3/16*a^7 - 1/8*a^5 - 1/2*a^4 + 1/4*a^3, 1/16*a^14 - 1/8*a^8 + 3/16*a^6 - 1/8*a^4 + 1/4*a^2, 1/16*a^15 - 1/16*a^7 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2 - 1/2*a, 1/32*a^16 - 1/16*a^10 + 3/32*a^8 - 1/16*a^6 - 1/2*a^5 + 1/8*a^4, 1/32*a^17 - 1/16*a^11 - 1/32*a^9 + 3/16*a^7 - 1/2*a^5 - 1/2*a^4 + 1/4*a^3 - 1/2*a, 1/64*a^18 - 1/32*a^14 + 1/64*a^10 - 3/16*a^6 - 1/2*a^5 - 1/2*a^3 + 1/4*a^2, 1/128*a^19 - 1/64*a^15 - 7/128*a^11 - 5/32*a^7 - 1/2*a^5 - 3/8*a^3 - 1/2*a, 1/256*a^20 - 1/128*a^16 - 7/256*a^12 - 5/64*a^8 - 1/4*a^6 - 1/2*a^5 + 5/16*a^4 - 1/2*a^3 - 1/4*a^2, 1/512*a^21 + 3/256*a^17 + 9/512*a^13 - 1/16*a^11 - 3/128*a^9 + 3/16*a^7 - 11/32*a^5 - 1/2*a^4 + 1/4*a^3, 1/512*a^22 - 1/256*a^18 - 7/512*a^14 + 3/128*a^10 - 1/32*a^6 - 1/2*a^5 - 1/2*a^3 - 1/4*a^2, 1/1024*a^23 - 1/512*a^19 - 7/1024*a^15 - 13/256*a^11 - 5/64*a^7 - 1/2*a^5 + 3/8*a^3 - 1/2*a, 1/2048*a^24 - 1/1024*a^22 + 1/1024*a^20 - 3/512*a^18 + 17/2048*a^16 + 23/1024*a^14 - 1/128*a^12 + 11/256*a^10 + 1/16*a^8 - 5/64*a^6 - 1/2*a^5 - 1/32*a^4 - 1/4*a^2 - 1/2, 1/4096*a^25 - 1/2048*a^23 + 1/2048*a^21 - 3/1024*a^19 + 17/4096*a^17 + 23/2048*a^15 + 7/256*a^13 + 27/512*a^11 - 17/128*a^7 - 5/64*a^5 - 1/2*a^4 - 1/4*a^3 - 1/2*a^2 - 1/4*a, 1/4096*a^26 - 1/2048*a^22 - 1/512*a^20 - 7/4096*a^18 - 3/256*a^16 - 13/1024*a^14 - 9/512*a^12 + 11/256*a^10 + 3/128*a^8 - 3/32*a^6 - 5/32*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2, 1/8192*a^27 - 1/4096*a^23 - 1/1024*a^21 - 7/8192*a^19 + 5/512*a^17 + 51/2048*a^15 - 9/1024*a^13 + 27/512*a^11 - 1/256*a^9 + 5/64*a^7 - 5/64*a^5 - 1/2*a^4 - 1/8*a^3 - 1/2*a^2 + 1/4*a, 1/491520*a^28 - 11/245760*a^24 + 401/491520*a^20 - 1/256*a^19 - 1/64*a^17 - 833/61440*a^16 - 3/128*a^15 - 1/32*a^13 - 949/30720*a^12 + 7/256*a^11 + 3/64*a^9 - 53/3840*a^8 + 7/64*a^7 + 5/16*a^5 + 953/1920*a^4 - 5/16*a^3 - 1/4*a + 1/120, 1/983040*a^29 - 11/491520*a^25 + 401/983040*a^21 - 1/128*a^18 - 833/122880*a^17 + 1/64*a^14 - 949/61440*a^13 + 7/128*a^10 - 53/7680*a^9 - 1/4*a^7 + 5/32*a^6 + 1913/3840*a^5 - 1/2*a^4 - 1/4*a^3 + 3/8*a^2 - 119/240*a - 1/2, 1/3932160*a^30 - 1/983040*a^28 - 11/1966080*a^26 + 11/491520*a^24 + 401/3932160*a^22 - 401/983040*a^20 - 1/256*a^19 - 833/491520*a^18 + 833/122880*a^16 - 3/128*a^15 + 6731/245760*a^14 + 949/61440*a^12 - 9/256*a^11 + 1867/30720*a^10 - 907/7680*a^8 - 13/64*a^7 + 473/15360*a^6 - 1/2*a^5 + 1447/3840*a^4 - 1/16*a^3 - 479/960*a^2 - 1/240, 1/7864320*a^31 - 1/1966080*a^29 - 11/3932160*a^27 + 11/983040*a^25 + 401/7864320*a^23 - 401/1966080*a^21 - 833/983040*a^19 + 833/245760*a^17 + 6731/491520*a^15 + 949/122880*a^13 - 1973/61440*a^11 - 907/15360*a^9 - 1/8*a^8 + 6233/30720*a^7 - 1/4*a^6 - 473/7680*a^5 + 3/8*a^4 - 479/1920*a^3 + 1/4*a^2 + 239/480*a - 1/2], 1, 32, [4, 8], 1, [ (23)/(1966080)*a^(31) + (7)/(163840)*a^(30) - (13)/(983040)*a^(27) - (37)/(81920)*a^(26) + (583)/(1966080)*a^(23) + (407)/(163840)*a^(22) - (379)/(245760)*a^(19) - (221)/(20480)*a^(18) + (1093)/(122880)*a^(15) + (477)/(10240)*a^(14) - (199)/(15360)*a^(11) - (151)/(1280)*a^(10) + (319)/(7680)*a^(7) + (211)/(640)*a^(6) - (37)/(480)*a^(3) - (23)/(40)*a^(2) - 1 , (17)/(1310720)*a^(30) + (17)/(327680)*a^(29) - (3)/(65536)*a^(28) - (187)/(655360)*a^(26) - (27)/(163840)*a^(25) + (1)/(32768)*a^(24) + (1697)/(1310720)*a^(22) + (417)/(327680)*a^(21) - (51)/(65536)*a^(20) - (1361)/(163840)*a^(18) - (201)/(40960)*a^(17) - (5)/(8192)*a^(16) + (2747)/(81920)*a^(14) + (707)/(20480)*a^(13) + (47)/(4096)*a^(12) - (1301)/(10240)*a^(10) - (201)/(2560)*a^(9) - (9)/(512)*a^(8) + (1481)/(5120)*a^(6) + (241)/(1280)*a^(5) + (53)/(256)*a^(4) - (263)/(320)*a^(2) - (43)/(80)*a - (11)/(16) , (7)/(1572864)*a^(31) - (19)/(1966080)*a^(30) - (29)/(655360)*a^(29) + (7)/(245760)*a^(28) + (19)/(786432)*a^(27) + (209)/(983040)*a^(26) - (1)/(327680)*a^(25) - (17)/(122880)*a^(24) - (649)/(1572864)*a^(23) - (1859)/(1966080)*a^(22) + (531)/(655360)*a^(21) + (167)/(245760)*a^(20) + (145)/(196608)*a^(19) + (947)/(245760)*a^(18) - (403)/(81920)*a^(17) - (7)/(3840)*a^(16) - (547)/(98304)*a^(15) - (1769)/(122880)*a^(14) + (1161)/(40960)*a^(13) + (257)/(15360)*a^(12) + (325)/(12288)*a^(11) + (707)/(15360)*a^(10) - (683)/(5120)*a^(9) - (101)/(1920)*a^(8) - (337)/(6144)*a^(7) - (947)/(7680)*a^(6) + (1043)/(2560)*a^(5) + (101)/(960)*a^(4) + (31)/(384)*a^(3) + (101)/(480)*a^(2) - (189)/(160)*a + (7)/(60) , (139)/(7864320)*a^(31) - (1)/(24576)*a^(30) - (23)/(655360)*a^(29) + (61)/(491520)*a^(28) - (1049)/(3932160)*a^(27) + (1)/(6144)*a^(26) + (93)/(327680)*a^(25) - (191)/(245760)*a^(24) + (15419)/(7864320)*a^(23) - (29)/(24576)*a^(22) - (263)/(655360)*a^(21) + (2381)/(491520)*a^(20) - (11027)/(983040)*a^(19) + (83)/(12288)*a^(18) + (79)/(81920)*a^(17) - (1493)/(61440)*a^(16) + (23849)/(491520)*a^(15) - (55)/(3072)*a^(14) + (667)/(40960)*a^(13) + (2531)/(30720)*a^(12) - (9407)/(61440)*a^(11) + (53)/(768)*a^(10) - (481)/(5120)*a^(9) - (983)/(3840)*a^(8) + (11507)/(30720)*a^(7) - (7)/(48)*a^(6) + (681)/(2560)*a^(5) + (1193)/(1920)*a^(4) - (1181)/(1920)*a^(3) - (1)/(24)*a^(2) - (103)/(160)*a - (119)/(120) , (83)/(3932160)*a^(31) - (1)/(983040)*a^(29) - (193)/(1966080)*a^(27) + (11)/(491520)*a^(25) + (3523)/(3932160)*a^(23) + (559)/(983040)*a^(21) - (2239)/(491520)*a^(19) - (367)/(122880)*a^(17) + (5113)/(245760)*a^(15) + (1489)/(61440)*a^(13) - (2059)/(30720)*a^(11) - (877)/(7680)*a^(9) + (3259)/(15360)*a^(7) + (1747)/(3840)*a^(5) + (83)/(960)*a^(3) - (181)/(240)*a , (161)/(3932160)*a^(31) + (29)/(393216)*a^(30) - (19)/(491520)*a^(29) - (5)/(32768)*a^(28) - (571)/(1966080)*a^(27) - (79)/(196608)*a^(26) + (89)/(245760)*a^(25) + (15)/(16384)*a^(24) + (6001)/(3932160)*a^(23) + (1069)/(393216)*a^(22) - (899)/(491520)*a^(21) - (181)/(32768)*a^(20) - (3733)/(491520)*a^(19) - (673)/(49152)*a^(18) + (557)/(61440)*a^(17) + (107)/(4096)*a^(16) + (5011)/(245760)*a^(15) + (1231)/(24576)*a^(14) - (719)/(30720)*a^(13) - (203)/(2048)*a^(12) - (1873)/(30720)*a^(11) - (433)/(3072)*a^(10) + (49)/(480)*a^(9) + (79)/(256)*a^(8) + (1513)/(15360)*a^(7) + (541)/(1536)*a^(6) - (437)/(1920)*a^(5) - (93)/(128)*a^(4) + (161)/(960)*a^(3) - (31)/(96)*a^(2) + (71)/(120)*a + (15)/(8) , (91)/(1966080)*a^(31) - (49)/(786432)*a^(30) + (1)/(16384)*a^(29) - (19)/(983040)*a^(28) - (281)/(983040)*a^(27) + (251)/(393216)*a^(26) - (5)/(8192)*a^(25) + (209)/(491520)*a^(24) + (3851)/(1966080)*a^(23) - (3137)/(786432)*a^(22) + (73)/(16384)*a^(21) - (1859)/(983040)*a^(20) - (2423)/(245760)*a^(19) + (2153)/(98304)*a^(18) - (95)/(4096)*a^(17) + (947)/(122880)*a^(16) + (4541)/(122880)*a^(15) - (4427)/(49152)*a^(14) + (89)/(1024)*a^(13) - (1769)/(61440)*a^(12) - (1913)/(15360)*a^(11) + (1805)/(6144)*a^(10) - (9)/(32)*a^(9) + (707)/(7680)*a^(8) + (2663)/(7680)*a^(7) - (2537)/(3072)*a^(6) + (11)/(16)*a^(5) - (947)/(3840)*a^(4) - (119)/(480)*a^(3) + (287)/(192)*a^(2) - a + (341)/(240) , (7)/(163840)*a^(31) + (49)/(786432)*a^(30) - (13)/(122880)*a^(29) - (19)/(983040)*a^(28) - (17)/(81920)*a^(27) - (251)/(393216)*a^(26) + (19)/(30720)*a^(25) + (209)/(491520)*a^(24) + (247)/(163840)*a^(23) + (3137)/(786432)*a^(22) - (353)/(122880)*a^(21) - (1859)/(983040)*a^(20) - (39)/(5120)*a^(19) - (2153)/(98304)*a^(18) + (731)/(61440)*a^(17) + (947)/(122880)*a^(16) + (151)/(5120)*a^(15) + (4427)/(49152)*a^(14) - (323)/(7680)*a^(13) - (1769)/(61440)*a^(12) - (197)/(2560)*a^(11) - (1805)/(6144)*a^(10) + (89)/(960)*a^(9) + (707)/(7680)*a^(8) + (63)/(320)*a^(7) + (2537)/(3072)*a^(6) - (253)/(960)*a^(5) - (947)/(3840)*a^(4) + (1)/(20)*a^(3) - (287)/(192)*a^(2) + (1)/(15)*a + (341)/(240) , (67)/(3932160)*a^(31) + (111)/(1310720)*a^(30) + (23)/(983040)*a^(29) + (11)/(983040)*a^(28) + (223)/(1966080)*a^(27) - (261)/(655360)*a^(26) - (133)/(491520)*a^(25) + (119)/(491520)*a^(24) - (1933)/(3932160)*a^(23) + (3551)/(1310720)*a^(22) + (2023)/(983040)*a^(21) - (2309)/(983040)*a^(20) + (2509)/(491520)*a^(19) - (1663)/(163840)*a^(18) - (1369)/(122880)*a^(17) + (1457)/(122880)*a^(16) - (5143)/(245760)*a^(15) + (3221)/(81920)*a^(14) + (2413)/(61440)*a^(13) - (3719)/(61440)*a^(12) + (2989)/(30720)*a^(11) - (883)/(10240)*a^(10) - (1459)/(7680)*a^(9) + (2057)/(7680)*a^(8) - (4189)/(15360)*a^(7) + (1223)/(5120)*a^(6) + (1459)/(3840)*a^(5) - (2117)/(3840)*a^(4) + (847)/(960)*a^(3) + (111)/(320)*a^(2) - (277)/(240)*a + (611)/(240) , (323)/(7864320)*a^(31) + (21)/(1310720)*a^(30) - (3)/(655360)*a^(29) - (3)/(65536)*a^(28) - (1153)/(3932160)*a^(27) + (89)/(655360)*a^(26) + (33)/(327680)*a^(25) + (1)/(32768)*a^(24) + (12403)/(7864320)*a^(23) - (539)/(1310720)*a^(22) - (563)/(655360)*a^(21) - (51)/(65536)*a^(20) - (8299)/(983040)*a^(19) + (507)/(163840)*a^(18) + (419)/(81920)*a^(17) - (5)/(8192)*a^(16) + (16753)/(491520)*a^(15) - (2009)/(81920)*a^(14) - (633)/(40960)*a^(13) + (47)/(4096)*a^(12) - (5719)/(61440)*a^(11) + (727)/(10240)*a^(10) + (419)/(5120)*a^(9) - (9)/(512)*a^(8) + (9259)/(30720)*a^(7) - (947)/(5120)*a^(6) - (99)/(2560)*a^(5) + (53)/(256)*a^(4) - (1117)/(1920)*a^(3) + (301)/(320)*a^(2) + (77)/(160)*a - (3)/(16) , (5)/(196608)*a^(31) + (47)/(1310720)*a^(30) - (13)/(196608)*a^(29) - (5)/(196608)*a^(28) - (7)/(98304)*a^(27) - (37)/(655360)*a^(26) + (47)/(98304)*a^(25) + (7)/(98304)*a^(24) + (85)/(196608)*a^(23) + (287)/(1310720)*a^(22) - (605)/(196608)*a^(21) - (277)/(196608)*a^(20) - (73)/(24576)*a^(19) + (9)/(163840)*a^(18) + (341)/(24576)*a^(17) + (25)/(24576)*a^(16) + (19)/(12288)*a^(15) - (2043)/(81920)*a^(14) - (791)/(12288)*a^(13) - (223)/(12288)*a^(12) - (13)/(1536)*a^(11) + (789)/(10240)*a^(10) + (221)/(1536)*a^(9) - (59)/(1536)*a^(8) - (35)/(768)*a^(7) - (1529)/(5120)*a^(6) - (317)/(768)*a^(5) + (83)/(768)*a^(4) + (5)/(12)*a^(3) + (327)/(320)*a^(2) + (11)/(48)*a - (29)/(48) , (203)/(3932160)*a^(31) + (47)/(1310720)*a^(30) + (7)/(491520)*a^(29) + (5)/(196608)*a^(28) - (313)/(1966080)*a^(27) - (37)/(655360)*a^(26) - (77)/(245760)*a^(25) - (7)/(98304)*a^(24) + (4603)/(3932160)*a^(23) + (287)/(1310720)*a^(22) + (887)/(491520)*a^(21) + (277)/(196608)*a^(20) - (1579)/(491520)*a^(19) + (9)/(163840)*a^(18) - (551)/(61440)*a^(17) - (25)/(24576)*a^(16) + (1753)/(245760)*a^(15) - (2043)/(81920)*a^(14) + (917)/(30720)*a^(13) + (223)/(12288)*a^(12) - (439)/(30720)*a^(11) + (789)/(10240)*a^(10) - (251)/(3840)*a^(9) + (59)/(1536)*a^(8) + (499)/(15360)*a^(7) - (1529)/(5120)*a^(6) + (431)/(1920)*a^(5) - (83)/(768)*a^(4) + (203)/(960)*a^(3) + (327)/(320)*a^(2) + (37)/(120)*a + (29)/(48) , (41)/(2621440)*a^(31) + (17)/(491520)*a^(30) + (11)/(131072)*a^(29) - (1)/(7680)*a^(28) - (131)/(1310720)*a^(27) - (7)/(245760)*a^(26) + (7)/(65536)*a^(25) + (13)/(30720)*a^(24) + (2361)/(2621440)*a^(23) - (143)/(491520)*a^(22) + (59)/(131072)*a^(21) - (67)/(15360)*a^(20) - (793)/(327680)*a^(19) + (11)/(15360)*a^(18) + (21)/(16384)*a^(17) + (541)/(30720)*a^(16) + (3011)/(163840)*a^(15) - (653)/(30720)*a^(14) - (119)/(8192)*a^(13) - (551)/(7680)*a^(12) - (1213)/(20480)*a^(11) + (299)/(3840)*a^(10) + (65)/(1024)*a^(9) + (481)/(1920)*a^(8) + (1313)/(10240)*a^(7) - (329)/(1920)*a^(6) - (93)/(512)*a^(5) - (77)/(120)*a^(4) - (359)/(640)*a^(3) + (167)/(120)*a^(2) + (27)/(32)*a + (29)/(30) , (89)/(1310720)*a^(31) + (189)/(1310720)*a^(30) + (49)/(327680)*a^(29) + (127)/(983040)*a^(28) - (339)/(655360)*a^(27) - (639)/(655360)*a^(26) - (219)/(163840)*a^(25) - (677)/(491520)*a^(24) + (3689)/(1310720)*a^(23) + (7309)/(1310720)*a^(22) + (2369)/(327680)*a^(21) + (5807)/(983040)*a^(20) - (2617)/(163840)*a^(19) - (4757)/(163840)*a^(18) - (1537)/(40960)*a^(17) - (4331)/(122880)*a^(16) + (4899)/(81920)*a^(15) + (8959)/(81920)*a^(14) + (3219)/(20480)*a^(13) + (8477)/(61440)*a^(12) - (1637)/(10240)*a^(11) - (3217)/(10240)*a^(10) - (1137)/(2560)*a^(9) - (2951)/(7680)*a^(8) + (2817)/(5120)*a^(7) + (4677)/(5120)*a^(6) + (1617)/(1280)*a^(5) + (3911)/(3840)*a^(4) - (231)/(320)*a^(3) - (451)/(320)*a^(2) - (211)/(80)*a - (593)/(240) , (13)/(983040)*a^(31) - (239)/(3932160)*a^(30) + (7)/(163840)*a^(29) + (49)/(983040)*a^(28) - (143)/(491520)*a^(27) + (229)/(1966080)*a^(26) - (37)/(81920)*a^(25) - (299)/(491520)*a^(24) + (2333)/(983040)*a^(23) - (5599)/(3932160)*a^(22) + (407)/(163840)*a^(21) + (3329)/(983040)*a^(20) - (1469)/(122880)*a^(19) + (2647)/(491520)*a^(18) - (221)/(20480)*a^(17) - (2837)/(122880)*a^(16) + (3323)/(61440)*a^(15) - (4069)/(245760)*a^(14) + (477)/(10240)*a^(13) + (4739)/(61440)*a^(12) - (1379)/(7680)*a^(11) + (427)/(30720)*a^(10) - (151)/(1280)*a^(9) - (1697)/(7680)*a^(8) + (1649)/(3840)*a^(7) - (967)/(15360)*a^(6) + (211)/(640)*a^(5) + (2777)/(3840)*a^(4) - (167)/(240)*a^(3) - (479)/(960)*a^(2) - (43)/(40)*a - (191)/(240) ], 747032345387.1615, [[x^2 - 2, 1], [x^2 + 1, 1], [x^2 + 2, 1], [x^4 - 7*x^2 - 2*x + 6, 1], [x^4 + 1, 1], [x^8 - 14*x^6 + 50*x^4 - 30*x^2 + 1, 1], [x^8 - 20*x^6 - 4*x^5 + 100*x^4 + 48*x^3 - 100*x^2 - 52*x + 3, 1], [x^8 - 2*x^7 + x^6 - 2*x^5 + 8*x^4 - 6*x^3 + 9*x^2 - 54*x + 81, 1], [x^8 - 2*x^6 - 4*x^5 + 31*x^4 + 8*x^3 + 54*x^2 + 308*x + 446, 1], [x^8 + x^6 - 2*x^5 + 2*x^4 - 4*x^3 + 4*x^2 + 16, 1], [x^8 + 14*x^6 + 61*x^4 + 88*x^2 + 36, 1], [x^8 - 2*x^7 - 16*x^6 + 10*x^5 + 51*x^4 - 16*x^3 - 26*x^2 + 2, 1], [x^16 - 8*x^15 + 2*x^14 + 112*x^13 - 167*x^12 - 488*x^11 + 920*x^10 + 916*x^9 - 1904*x^8 - 812*x^7 + 1640*x^6 + 416*x^5 - 495*x^4 - 164*x^3 + 22*x^2 + 12*x + 1, 1], [x^16 - 8*x^15 + 52*x^14 - 224*x^13 + 788*x^12 - 2180*x^11 + 5050*x^10 - 9652*x^9 + 15598*x^8 - 21024*x^7 + 23796*x^6 - 22152*x^5 + 16797*x^4 - 9956*x^3 + 4398*x^2 - 1284*x + 178, 1], [x^16 + 10*x^14 + 44*x^12 + 26*x^10 - 416*x^8 - 890*x^6 + 1825*x^4 + 1564*x^2 + 324, 1], [x^16 - 10*x^14 + 44*x^12 - 26*x^10 - 416*x^8 + 890*x^6 + 1825*x^4 - 1564*x^2 + 324, 1], [x^16 - 8*x^13 + 137*x^12 - 112*x^11 + 32*x^10 + 232*x^9 + 1488*x^8 - 232*x^7 + 32*x^6 + 112*x^5 + 137*x^4 + 8*x^3 + 1, 1], [x^16 - 8*x^15 + 26*x^14 - 32*x^13 - 5*x^12 - 44*x^11 + 246*x^10 + 456*x^9 - 3424*x^8 + 4732*x^7 + 7804*x^6 - 42232*x^5 + 82591*x^4 - 94776*x^3 + 66700*x^2 - 26672*x + 4673, 1], [x^16 - 2*x^14 + 5*x^12 - 8*x^10 + 28*x^8 - 32*x^6 + 80*x^4 - 128*x^2 + 256, 1]]]