/* 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 - 194*x^30 + 15908*x^28 - 724784*x^26 + 20303264*x^24 - 365958496*x^22 + 4325759232*x^20 - 33633640320*x^18 + 170321943040*x^16 - 547571276288*x^14 + 1064307168256*x^12 - 1149333823488*x^10 + 609862000640*x^8 - 153945686016*x^6 + 17972805632*x^4 - 820051968*x^2 + 6356992, 32, 33, [32, 0], 10948725162062396375893585077651059129669167570225987349215648531823007367168, [2, 97], [1, a, 1/2*a^2, 1/2*a^3, 1/4*a^4, 1/4*a^5, 1/8*a^6, 1/8*a^7, 1/16*a^8, 1/16*a^9, 1/32*a^10, 1/32*a^11, 1/64*a^12, 1/64*a^13, 1/128*a^14, 1/128*a^15, 1/256*a^16, 1/256*a^17, 1/512*a^18, 1/512*a^19, 1/1024*a^20, 1/1024*a^21, 1/2048*a^22, 1/2048*a^23, 1/249856*a^24 + 15/124928*a^22 - 3/15616*a^20 + 9/15616*a^18 + 7/7808*a^16 - 19/7808*a^14 - 5/976*a^12 + 11/1952*a^10 + 5/488*a^8 - 7/488*a^6 + 9/122*a^4 + 9/61*a^2 + 5/61, 1/249856*a^25 + 15/124928*a^23 - 3/15616*a^21 + 9/15616*a^19 + 7/7808*a^17 - 19/7808*a^15 - 5/976*a^13 + 11/1952*a^11 + 5/488*a^9 - 7/488*a^7 + 9/122*a^5 + 9/61*a^3 + 5/61*a, 1/499712*a^26 + 7/124928*a^22 + 15/62464*a^20 - 3/7808*a^18 + 15/15616*a^16 + 21/7808*a^14 + 3/1952*a^12 + 7/488*a^10 + 13/488*a^8 + 1/488*a^6 - 2/61*a^4 - 21/122*a^2 - 14/61, 1/499712*a^27 + 7/124928*a^23 + 15/62464*a^21 - 3/7808*a^19 + 15/15616*a^17 + 21/7808*a^15 + 3/1952*a^13 + 7/488*a^11 + 13/488*a^9 + 1/488*a^7 - 2/61*a^5 - 21/122*a^3 - 14/61*a, 1/60964864*a^28 - 3/7620608*a^26 + 7/15241216*a^24 - 1289/7620608*a^22 + 13/952576*a^20 - 125/238144*a^18 - 903/476288*a^16 + 243/238144*a^14 + 17/238144*a^12 + 849/119072*a^10 - 337/14884*a^8 - 203/29768*a^6 + 1539/14884*a^4 + 424/3721*a^2 + 534/3721, 1/60964864*a^29 - 3/7620608*a^27 + 7/15241216*a^25 - 1289/7620608*a^23 + 13/952576*a^21 - 125/238144*a^19 - 903/476288*a^17 + 243/238144*a^15 + 17/238144*a^13 + 849/119072*a^11 - 337/14884*a^9 - 203/29768*a^7 + 1539/14884*a^5 + 424/3721*a^3 + 534/3721*a, 1/201860478345873256042052882272583303882629634796322816*a^30 + 245123265655362253689065314151889497859696885/50465119586468314010513220568145825970657408699080704*a^28 - 2112886561781305654042692496442881241285562323/12616279896617078502628305142036456492664352174770176*a^26 + 14755960071945527389751995127952296686445231/12993079193220472196321632484074620486781001209856*a^24 + 2680036503117950843139671830562881436293641684565/12616279896617078502628305142036456492664352174770176*a^22 - 753358662599018459846842343717450244441471876847/1577034987077134812828538142754557061583044021846272*a^20 + 823823569032494196415000723780134210412362658827/3154069974154269625657076285509114123166088043692544*a^18 + 2164973509160085569455317119806940470692554741327/1577034987077134812828538142754557061583044021846272*a^16 + 512021127111393137782122550056571876478175014117/788517493538567406414269071377278530791522010923136*a^14 + 6805504712517969666490844342816895911708567327/394258746769283703207134535688639265395761005461568*a^12 - 1145285774732348460786643458845171686684721081709/197129373384641851603567267844319632697880502730784*a^10 - 1252467059091478869589761926725958528293858916435/98564686692320925801783633922159816348940251365392*a^8 + 1024990450345270074233334148983731422466396304259/49282343346160462900891816961079908174470125682696*a^6 + 2984633444043698815465661888051649950335157733603/24641171673080231450445908480539954087235062841348*a^4 - 75788799137323362451775352002529622640338250893/6160292918270057862611477120134988521808765710337*a^2 - 1392490906508925479664348349638778278128277265499/6160292918270057862611477120134988521808765710337, 1/201860478345873256042052882272583303882629634796322816*a^31 + 245123265655362253689065314151889497859696885/50465119586468314010513220568145825970657408699080704*a^29 - 2112886561781305654042692496442881241285562323/12616279896617078502628305142036456492664352174770176*a^27 + 14755960071945527389751995127952296686445231/12993079193220472196321632484074620486781001209856*a^25 + 2680036503117950843139671830562881436293641684565/12616279896617078502628305142036456492664352174770176*a^23 - 753358662599018459846842343717450244441471876847/1577034987077134812828538142754557061583044021846272*a^21 + 823823569032494196415000723780134210412362658827/3154069974154269625657076285509114123166088043692544*a^19 + 2164973509160085569455317119806940470692554741327/1577034987077134812828538142754557061583044021846272*a^17 + 512021127111393137782122550056571876478175014117/788517493538567406414269071377278530791522010923136*a^15 + 6805504712517969666490844342816895911708567327/394258746769283703207134535688639265395761005461568*a^13 - 1145285774732348460786643458845171686684721081709/197129373384641851603567267844319632697880502730784*a^11 - 1252467059091478869589761926725958528293858916435/98564686692320925801783633922159816348940251365392*a^9 + 1024990450345270074233334148983731422466396304259/49282343346160462900891816961079908174470125682696*a^7 + 2984633444043698815465661888051649950335157733603/24641171673080231450445908480539954087235062841348*a^5 - 75788799137323362451775352002529622640338250893/6160292918270057862611477120134988521808765710337*a^3 - 1392490906508925479664348349638778278128277265499/6160292918270057862611477120134988521808765710337*a], 0, 0,0,0,0,0, [[x^2 - x - 24, 1], [x^4 - x^3 - 36*x^2 - 91*x - 61, 1], [x^8 - x^7 - 42*x^6 + 59*x^5 + 497*x^4 - 719*x^3 - 1792*x^2 + 2295*x + 193, 1], [x^16 - x^15 - 45*x^14 + 98*x^13 + 650*x^12 - 2183*x^11 - 2576*x^10 + 17205*x^9 - 9748*x^8 - 44003*x^7 + 63779*x^6 + 18576*x^5 - 86644*x^4 + 43324*x^3 + 15475*x^2 - 17690*x + 3721, 1]]]