/* 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^36 - x^35 - x^34 + 3*x^33 - x^32 - 5*x^31 + 7*x^30 + 3*x^29 - 17*x^28 + 11*x^27 + 23*x^26 - 45*x^25 - x^24 + 91*x^23 - 89*x^22 - 93*x^21 + 271*x^20 - 85*x^19 - 457*x^18 - 170*x^17 + 1084*x^16 - 744*x^15 - 1424*x^14 + 2912*x^13 - 64*x^12 - 5760*x^11 + 5888*x^10 + 5632*x^9 - 17408*x^8 + 6144*x^7 + 28672*x^6 - 40960*x^5 - 16384*x^4 + 98304*x^3 - 65536*x^2 - 131072*x + 262144, 36, 2, [0, 18], 48908816365067043970916287981601635325839249495639564072729, [7, 19], [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, a^16, a^17, a^18, 1/914*a^19 - 1/2*a^18 - 1/2*a^17 - 1/2*a^16 - 1/2*a^15 - 1/2*a^14 - 1/2*a^13 - 1/2*a^12 - 1/2*a^11 - 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 85/457, 1/1828*a^20 - 1/1828*a^19 - 1/4*a^18 - 1/4*a^17 - 1/4*a^16 - 1/4*a^15 - 1/4*a^14 - 1/4*a^13 - 1/4*a^12 - 1/4*a^11 - 1/4*a^10 - 1/4*a^9 - 1/4*a^8 - 1/4*a^7 - 1/4*a^6 - 1/4*a^5 - 1/4*a^4 - 1/4*a^3 - 1/4*a^2 - 85/914*a - 186/457, 1/3656*a^21 - 1/3656*a^20 - 1/3656*a^19 + 3/8*a^18 - 1/8*a^17 + 3/8*a^16 - 1/8*a^15 + 3/8*a^14 - 1/8*a^13 + 3/8*a^12 - 1/8*a^11 + 3/8*a^10 - 1/8*a^9 + 3/8*a^8 - 1/8*a^7 + 3/8*a^6 - 1/8*a^5 + 3/8*a^4 - 1/8*a^3 - 85/1828*a^2 + 271/914*a - 93/457, 1/7312*a^22 - 1/7312*a^21 - 1/7312*a^20 + 3/7312*a^19 + 7/16*a^18 + 3/16*a^17 - 1/16*a^16 - 5/16*a^15 + 7/16*a^14 + 3/16*a^13 - 1/16*a^12 - 5/16*a^11 + 7/16*a^10 + 3/16*a^9 - 1/16*a^8 - 5/16*a^7 + 7/16*a^6 + 3/16*a^5 - 1/16*a^4 - 85/3656*a^3 + 271/1828*a^2 - 93/914*a - 89/457, 1/14624*a^23 - 1/14624*a^22 - 1/14624*a^21 + 3/14624*a^20 - 1/14624*a^19 + 3/32*a^18 + 15/32*a^17 + 11/32*a^16 - 9/32*a^15 - 13/32*a^14 - 1/32*a^13 - 5/32*a^12 + 7/32*a^11 + 3/32*a^10 + 15/32*a^9 + 11/32*a^8 - 9/32*a^7 - 13/32*a^6 - 1/32*a^5 - 85/7312*a^4 + 271/3656*a^3 - 93/1828*a^2 - 89/914*a + 91/457, 1/29248*a^24 - 1/29248*a^23 - 1/29248*a^22 + 3/29248*a^21 - 1/29248*a^20 - 5/29248*a^19 + 15/64*a^18 - 21/64*a^17 - 9/64*a^16 - 13/64*a^15 + 31/64*a^14 - 5/64*a^13 + 7/64*a^12 + 3/64*a^11 - 17/64*a^10 + 11/64*a^9 + 23/64*a^8 + 19/64*a^7 - 1/64*a^6 - 85/14624*a^5 + 271/7312*a^4 - 93/3656*a^3 - 89/1828*a^2 + 91/914*a - 1/457, 1/58496*a^25 - 1/58496*a^24 - 1/58496*a^23 + 3/58496*a^22 - 1/58496*a^21 - 5/58496*a^20 + 7/58496*a^19 - 21/128*a^18 - 9/128*a^17 + 51/128*a^16 - 33/128*a^15 + 59/128*a^14 + 7/128*a^13 + 3/128*a^12 - 17/128*a^11 + 11/128*a^10 + 23/128*a^9 - 45/128*a^8 - 1/128*a^7 - 85/29248*a^6 + 271/14624*a^5 - 93/7312*a^4 - 89/3656*a^3 + 91/1828*a^2 - 1/914*a - 45/457, 1/116992*a^26 - 1/116992*a^25 - 1/116992*a^24 + 3/116992*a^23 - 1/116992*a^22 - 5/116992*a^21 + 7/116992*a^20 + 3/116992*a^19 - 9/256*a^18 + 51/256*a^17 - 33/256*a^16 - 69/256*a^15 - 121/256*a^14 + 3/256*a^13 - 17/256*a^12 + 11/256*a^11 + 23/256*a^10 - 45/256*a^9 - 1/256*a^8 - 85/58496*a^7 + 271/29248*a^6 - 93/14624*a^5 - 89/7312*a^4 + 91/3656*a^3 - 1/1828*a^2 - 45/914*a + 23/457, 1/233984*a^27 - 1/233984*a^26 - 1/233984*a^25 + 3/233984*a^24 - 1/233984*a^23 - 5/233984*a^22 + 7/233984*a^21 + 3/233984*a^20 - 17/233984*a^19 - 205/512*a^18 + 223/512*a^17 + 187/512*a^16 - 121/512*a^15 - 253/512*a^14 - 17/512*a^13 + 11/512*a^12 + 23/512*a^11 - 45/512*a^10 - 1/512*a^9 - 85/116992*a^8 + 271/58496*a^7 - 93/29248*a^6 - 89/14624*a^5 + 91/7312*a^4 - 1/3656*a^3 - 45/1828*a^2 + 23/914*a + 11/457, 1/467968*a^28 - 1/467968*a^27 - 1/467968*a^26 + 3/467968*a^25 - 1/467968*a^24 - 5/467968*a^23 + 7/467968*a^22 + 3/467968*a^21 - 17/467968*a^20 + 11/467968*a^19 - 289/1024*a^18 - 325/1024*a^17 - 121/1024*a^16 - 253/1024*a^15 + 495/1024*a^14 + 11/1024*a^13 + 23/1024*a^12 - 45/1024*a^11 - 1/1024*a^10 - 85/233984*a^9 + 271/116992*a^8 - 93/58496*a^7 - 89/29248*a^6 + 91/14624*a^5 - 1/7312*a^4 - 45/3656*a^3 + 23/1828*a^2 + 11/914*a - 17/457, 1/935936*a^29 - 1/935936*a^28 - 1/935936*a^27 + 3/935936*a^26 - 1/935936*a^25 - 5/935936*a^24 + 7/935936*a^23 + 3/935936*a^22 - 17/935936*a^21 + 11/935936*a^20 + 23/935936*a^19 + 699/2048*a^18 - 121/2048*a^17 + 771/2048*a^16 - 529/2048*a^15 - 1013/2048*a^14 + 23/2048*a^13 - 45/2048*a^12 - 1/2048*a^11 - 85/467968*a^10 + 271/233984*a^9 - 93/116992*a^8 - 89/58496*a^7 + 91/29248*a^6 - 1/14624*a^5 - 45/7312*a^4 + 23/3656*a^3 + 11/1828*a^2 - 17/914*a + 3/457, 1/1871872*a^30 - 1/1871872*a^29 - 1/1871872*a^28 + 3/1871872*a^27 - 1/1871872*a^26 - 5/1871872*a^25 + 7/1871872*a^24 + 3/1871872*a^23 - 17/1871872*a^22 + 11/1871872*a^21 + 23/1871872*a^20 - 45/1871872*a^19 + 1927/4096*a^18 + 771/4096*a^17 - 529/4096*a^16 - 1013/4096*a^15 - 2025/4096*a^14 - 45/4096*a^13 - 1/4096*a^12 - 85/935936*a^11 + 271/467968*a^10 - 93/233984*a^9 - 89/116992*a^8 + 91/58496*a^7 - 1/29248*a^6 - 45/14624*a^5 + 23/7312*a^4 + 11/3656*a^3 - 17/1828*a^2 + 3/914*a + 7/457, 1/3743744*a^31 - 1/3743744*a^30 - 1/3743744*a^29 + 3/3743744*a^28 - 1/3743744*a^27 - 5/3743744*a^26 + 7/3743744*a^25 + 3/3743744*a^24 - 17/3743744*a^23 + 11/3743744*a^22 + 23/3743744*a^21 - 45/3743744*a^20 - 1/3743744*a^19 + 771/8192*a^18 + 3567/8192*a^17 + 3083/8192*a^16 - 2025/8192*a^15 + 4051/8192*a^14 - 1/8192*a^13 - 85/1871872*a^12 + 271/935936*a^11 - 93/467968*a^10 - 89/233984*a^9 + 91/116992*a^8 - 1/58496*a^7 - 45/29248*a^6 + 23/14624*a^5 + 11/7312*a^4 - 17/3656*a^3 + 3/1828*a^2 + 7/914*a - 5/457, 1/7487488*a^32 - 1/7487488*a^31 - 1/7487488*a^30 + 3/7487488*a^29 - 1/7487488*a^28 - 5/7487488*a^27 + 7/7487488*a^26 + 3/7487488*a^25 - 17/7487488*a^24 + 11/7487488*a^23 + 23/7487488*a^22 - 45/7487488*a^21 - 1/7487488*a^20 + 91/7487488*a^19 - 4625/16384*a^18 + 3083/16384*a^17 + 6167/16384*a^16 + 4051/16384*a^15 - 1/16384*a^14 - 85/3743744*a^13 + 271/1871872*a^12 - 93/935936*a^11 - 89/467968*a^10 + 91/233984*a^9 - 1/116992*a^8 - 45/58496*a^7 + 23/29248*a^6 + 11/14624*a^5 - 17/7312*a^4 + 3/3656*a^3 + 7/1828*a^2 - 5/914*a - 1/457, 1/14974976*a^33 - 1/14974976*a^32 - 1/14974976*a^31 + 3/14974976*a^30 - 1/14974976*a^29 - 5/14974976*a^28 + 7/14974976*a^27 + 3/14974976*a^26 - 17/14974976*a^25 + 11/14974976*a^24 + 23/14974976*a^23 - 45/14974976*a^22 - 1/14974976*a^21 + 91/14974976*a^20 - 89/14974976*a^19 + 3083/32768*a^18 + 6167/32768*a^17 - 12333/32768*a^16 - 1/32768*a^15 - 85/7487488*a^14 + 271/3743744*a^13 - 93/1871872*a^12 - 89/935936*a^11 + 91/467968*a^10 - 1/233984*a^9 - 45/116992*a^8 + 23/58496*a^7 + 11/29248*a^6 - 17/14624*a^5 + 3/7312*a^4 + 7/3656*a^3 - 5/1828*a^2 - 1/914*a + 3/457, 1/29949952*a^34 - 1/29949952*a^33 - 1/29949952*a^32 + 3/29949952*a^31 - 1/29949952*a^30 - 5/29949952*a^29 + 7/29949952*a^28 + 3/29949952*a^27 - 17/29949952*a^26 + 11/29949952*a^25 + 23/29949952*a^24 - 45/29949952*a^23 - 1/29949952*a^22 + 91/29949952*a^21 - 89/29949952*a^20 - 93/29949952*a^19 + 6167/65536*a^18 - 12333/65536*a^17 - 1/65536*a^16 - 85/14974976*a^15 + 271/7487488*a^14 - 93/3743744*a^13 - 89/1871872*a^12 + 91/935936*a^11 - 1/467968*a^10 - 45/233984*a^9 + 23/116992*a^8 + 11/58496*a^7 - 17/29248*a^6 + 3/14624*a^5 + 7/7312*a^4 - 5/3656*a^3 - 1/1828*a^2 + 3/914*a - 1/457, 1/59899904*a^35 - 1/59899904*a^34 - 1/59899904*a^33 + 3/59899904*a^32 - 1/59899904*a^31 - 5/59899904*a^30 + 7/59899904*a^29 + 3/59899904*a^28 - 17/59899904*a^27 + 11/59899904*a^26 + 23/59899904*a^25 - 45/59899904*a^24 - 1/59899904*a^23 + 91/59899904*a^22 - 89/59899904*a^21 - 93/59899904*a^20 + 271/59899904*a^19 - 12333/131072*a^18 - 1/131072*a^17 - 85/29949952*a^16 + 271/14974976*a^15 - 93/7487488*a^14 - 89/3743744*a^13 + 91/1871872*a^12 - 1/935936*a^11 - 45/467968*a^10 + 23/233984*a^9 + 11/116992*a^8 - 17/58496*a^7 + 3/29248*a^6 + 7/14624*a^5 - 5/7312*a^4 - 1/3656*a^3 + 3/1828*a^2 - 1/914*a - 1/457], 1, 148, [2, 74], 1, [ (23)/(935936)*a^(30) - (24475)/(935936)*a^(11) + 1 , (89)/(14974976)*a^(34) + (27371)/(14974976)*a^(15) - 1 , (23)/(935936)*a^(30) - (1)/(3656)*a^(22) - (24475)/(935936)*a^(11) + (1541)/(3656)*a^(3) + 1 , (93)/(29949952)*a^(35) + (1)/(3743744)*a^(32) - (11)/(467968)*a^(29) - (7)/(58496)*a^(26) - (139657)/(29949952)*a^(16) - (41757)/(3743744)*a^(13) - (8641)/(467968)*a^(10) - (181)/(58496)*a^(7) , (7)/(58496)*a^(26) + (3)/(7312)*a^(23) + (181)/(58496)*a^(7) - (967)/(7312)*a^(4) , (271)/(59899904)*a^(35) + (271)/(59899904)*a^(34) - (85)/(59899904)*a^(33) + (271)/(59899904)*a^(32) + (1355)/(59899904)*a^(31) - (1897)/(59899904)*a^(30) - (813)/(59899904)*a^(29) + (255)/(59899904)*a^(28) - (2981)/(59899904)*a^(27) - (6233)/(59899904)*a^(26) + (1955)/(59899904)*a^(25) + (271)/(59899904)*a^(24) - (24661)/(59899904)*a^(23) + (7735)/(59899904)*a^(22) + (25203)/(59899904)*a^(21) - (7905)/(59899904)*a^(20) + (23035)/(59899904)*a^(19) + (271)/(131072)*a^(18) - (85)/(131072)*a^(17) - (73441)/(14974976)*a^(16) + (25203)/(7487488)*a^(15) - (7905)/(7487488)*a^(14) - (24661)/(1871872)*a^(13) + (271)/(935936)*a^(12) + (12195)/(467968)*a^(11) - (6233)/(233984)*a^(10) + (1955)/(233984)*a^(9) + (4607)/(58496)*a^(8) - (813)/(29248)*a^(7) + (255)/(29248)*a^(6) + (1355)/(7312)*a^(5) + (271)/(3656)*a^(4) - (85)/(3656)*a^(3) + (271)/(914)*a^(2) - (85)/(914)*a - (542)/(457) , (1)/(3656)*a^(22) + (1)/(1828)*a^(21) - (1)/(914)*a^(20) - (1541)/(3656)*a^(3) + (287)/(1828)*a^(2) + (627)/(914)*a , (1)/(1828)*a^(21) + (287)/(1828)*a^(2) - 1 , (91)/(7487488)*a^(33) + (17)/(233984)*a^(29) + (7)/(29248)*a^(25) + (1)/(1828)*a^(21) - (56143)/(7487488)*a^(14) - (7917)/(233984)*a^(10) + (181)/(29248)*a^(6) + (287)/(1828)*a^(2) , (23)/(935936)*a^(30) - (3)/(116992)*a^(28) + (3)/(58496)*a^(26) + (1)/(14624)*a^(24) - (24475)/(935936)*a^(11) + (8279)/(116992)*a^(9) - (8279)/(58496)*a^(7) + (2115)/(14624)*a^(5) , (1)/(3743744)*a^(33) + (3)/(58496)*a^(26) - (1)/(1828)*a^(21) - (41757)/(3743744)*a^(14) - (8279)/(58496)*a^(7) - (287)/(1828)*a^(2) - 1 , (89)/(14974976)*a^(35) - (93)/(29949952)*a^(34) - (271)/(29949952)*a^(33) + (93)/(29949952)*a^(32) - (991)/(29949952)*a^(31) - (619)/(29949952)*a^(30) + (3369)/(29949952)*a^(29) + (813)/(29949952)*a^(28) - (5375)/(29949952)*a^(27) + (6565)/(29949952)*a^(26) + (6233)/(29949952)*a^(25) - (22435)/(29949952)*a^(24) - (271)/(29949952)*a^(23) + (32853)/(29949952)*a^(22) - (24119)/(29949952)*a^(21) - (57971)/(29949952)*a^(20) + (73441)/(29949952)*a^(19) + (93)/(65536)*a^(18) - (271)/(65536)*a^(17) + (93587)/(29949952)*a^(16) + (174253)/(14974976)*a^(15) - (25203)/(3743744)*a^(14) - (8463)/(935936)*a^(13) + (56515)/(1871872)*a^(12) - (25017)/(935936)*a^(11) - (48865)/(467968)*a^(10) + (6233)/(116992)*a^(9) + (14241)/(116992)*a^(8) - (9033)/(58496)*a^(7) + (813)/(14624)*a^(6) + (7843)/(14624)*a^(5) - (1355)/(3656)*a^(4) - (2083)/(3656)*a^(3) + (813)/(914)*a^(2) + (85)/(914)*a - (542)/(457) , (91)/(7487488)*a^(34) + (1)/(3743744)*a^(32) + (3)/(116992)*a^(27) + (1)/(3656)*a^(22) - (1)/(914)*a^(20) - (56143)/(7487488)*a^(15) - (41757)/(3743744)*a^(13) - (8279)/(116992)*a^(8) - (1541)/(3656)*a^(3) - (287)/(914)*a , (441)/(59899904)*a^(35) - (1)/(131072)*a^(34) - (797)/(59899904)*a^(33) + (1711)/(59899904)*a^(32) - (117)/(59899904)*a^(31) - (4777)/(59899904)*a^(30) + (595)/(59899904)*a^(29) + (3071)/(59899904)*a^(28) - (10149)/(59899904)*a^(27) + (4007)/(59899904)*a^(26) + (12195)/(59899904)*a^(25) - (28401)/(59899904)*a^(24) - (8277)/(59899904)*a^(23) + (56887)/(59899904)*a^(22) - (40333)/(59899904)*a^(21) - (73441)/(59899904)*a^(20) + (154107)/(59899904)*a^(19) + (271)/(131072)*a^(18) - (85)/(131072)*a^(17) + (47517)/(29949952)*a^(16) + (89)/(8192)*a^(15) - (8819)/(1871872)*a^(14) - (15927)/(935936)*a^(13) + (12373)/(467968)*a^(12) + (31583)/(935936)*a^(11) - (3825)/(467968)*a^(10) + (2649)/(58496)*a^(9) + (2213)/(29248)*a^(8) - (2431)/(14624)*a^(7) - (1897)/(14624)*a^(6) + (2529)/(14624)*a^(5) - (635)/(1828)*a^(4) - (263)/(914)*a^(3) + (449)/(457)*a^(2) - (186)/(457)*a - (1169)/(457) , (271)/(29949952)*a^(35) - (1)/(3743744)*a^(32) - (3)/(116992)*a^(27) - (3)/(7312)*a^(24) - (84915)/(29949952)*a^(16) + (41757)/(3743744)*a^(13) + (8279)/(116992)*a^(8) + (967)/(7312)*a^(5) , (23)/(935936)*a^(30) - (23)/(467968)*a^(29) + (3)/(116992)*a^(28) - (3)/(116992)*a^(27) - (24475)/(935936)*a^(11) + (24475)/(467968)*a^(10) - (8279)/(116992)*a^(9) + (8279)/(116992)*a^(8) , (93)/(29949952)*a^(35) + (45)/(1871872)*a^(31) - (3)/(116992)*a^(27) + (5)/(29248)*a^(25) + (5)/(14624)*a^(24) + (1)/(3656)*a^(23) + (1)/(3656)*a^(22) - (1)/(914)*a^(20) - (139657)/(29949952)*a^(16) - (7193)/(1871872)*a^(12) + (8279)/(116992)*a^(8) - (4049)/(29248)*a^(6) - (4049)/(14624)*a^(5) - (1541)/(3656)*a^(4) - (1541)/(3656)*a^(3) + (627)/(914)*a ], 28076820524481.113, [[x^2 - x + 5, 1], [x^2 - x - 33, 1], [x^2 - x + 2, 1], [x^3 - x^2 - 6*x + 7, 1], [x^4 + 13*x^2 + 9, 1], [x^6 - x^5 + 2*x^4 + 8*x^3 - x^2 - 5*x + 7, 1], [x^6 - x^5 - 36*x^4 - 30*x^3 + 151*x^2 + 147*x + 7, 1], [x^6 - x^5 - 7*x^4 - 5*x^3 + 53*x^2 + 97*x + 121, 1], [x^9 - x^8 - 8*x^7 + 7*x^6 + 21*x^5 - 15*x^4 - 20*x^3 + 10*x^2 + 5*x - 1, 1], [x^12 - 4*x^11 + 21*x^10 - 72*x^9 + 201*x^8 - 348*x^7 + 567*x^6 - 654*x^5 + 484*x^4 - 196*x^3 + 1155*x^2 + 245*x + 539, 1], [x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1, 1], [x^18 - x^17 - 37*x^16 + 37*x^15 + 571*x^14 - 571*x^13 - 4749*x^12 + 4749*x^11 + 22915*x^10 - 22915*x^9 - 64029*x^8 + 64029*x^7 + 96483*x^6 - 96483*x^5 - 64029*x^4 + 64029*x^3 + 8931*x^2 - 8931*x - 797, 1], [x^18 - x^17 + 26*x^16 - 19*x^15 + 319*x^14 - 179*x^13 + 2258*x^12 - 914*x^11 + 9881*x^10 - 2825*x^9 + 26418*x^8 - 4536*x^7 + 41176*x^6 - 4496*x^5 + 32480*x^4 + 10240*x^2 - 1280*x + 512, 1]]]