Table gps_regular_polynomials (DEFUNCT)
Regular polynomials for Galois groups
{'id': 197, 'label': '20T1', 'polynomial': 'x^20 + (-80*t^8 + 80*t^6 - 80*t^4 + 80*t^2 - 80)*x^18 + (1120*t^16 + 2960*t^14 - 9840*t^12 + 11520*t^10 - 9600*t^8 + 10720*t^6 - 6640*t^4 - 240*t^2 + 1920)*x^16 + (-6400*t^24 - 68800*t^22 + 153600*t^20 - 130000*t^18 + 272000*t^16 - 756800*t^14 + 1108400*t^12 - 1140800*t^10 + 1150000*t^8 - 1008000*t^6 + 529600*t^4 - 102800*t^2 - 14400)*x^14 + (16640*t^32 + 490240*t^30 + 15200*t^28 - 4833600*t^26 + 14164000*t^24 - 29956480*t^22 + 57623520*t^20 - 88589600*t^18 + 102312800*t^16 - 94692000*t^14 + 75317120*t^12 - 46843680*t^10 + 15395200*t^8 + 3146400*t^6 - 4856000*t^4 + 1290240*t^2 + 23040)*x^12 + (-16384*t^40 - 1479680*t^38 - 8712960*t^36 + 57463040*t^34 - 131433920*t^32 + 196921024*t^30 - 278040640*t^28 + 405555520*t^26 - 618548480*t^24 + 1096285440*t^22 - 1929461824*t^20 + 2781405760*t^18 - 3219494080*t^16 + 3147913920*t^14 - 2617783360*t^12 + 1716799744*t^10 - 785233280*t^8 + 209437440*t^6 - 19274560*t^4 - 2302720*t^2 - 1024)*x^10 + (1638400*t^46 + 42739200*t^44 - 147065600*t^42 - 303072000*t^40 + 2961952000*t^38 - 9999814400*t^36 + 23957012800*t^34 - 47982094400*t^32 + 83879704000*t^30 - 129117704000*t^28 + 175952246400*t^26 - 212104596800*t^24 + 224386710400*t^22 - 206729776000*t^20 + 164773936000*t^18 - 111578510400*t^16 + 61318524800*t^14 - 25058158400*t^12 + 6367448000*t^10 - 426408000*t^8 - 252209600*t^6 + 57395200*t^4 + 102400*t^2)*x^8 + (-61440000*t^52 - 256640000*t^50 + 4579200000*t^48 - 20783200000*t^46 + 52267840000*t^44 - 85874400000*t^42 + 90832800000*t^40 - 17090720000*t^38 - 210501920000*t^36 + 654056160000*t^34 - 1278972960000*t^32 + 1927875840000*t^30 - 2396920160000*t^28 + 2529641440000*t^26 - 2276085760000*t^24 + 1726327520000*t^22 - 1079533280000*t^20 + 533452640000*t^18 - 186592160000*t^16 + 27723360000*t^14 + 13887520000*t^12 - 10719680000*t^10 + 3102880000*t^8 - 352320000*t^6 - 2560000*t^4)*x^6 + (1024000000*t^58 - 7324000000*t^56 + 8848000000*t^54 + 103432000000*t^52 - 662496000000*t^50 + 2204260000000*t^48 - 5166024000000*t^46 + 9462136000000*t^44 - 14207016000000*t^42 + 17810468000000*t^40 - 18663296000000*t^38 + 16153068000000*t^36 - 11100600000000*t^34 + 5233860000000*t^32 - 344040000000*t^30 - 2397428000000*t^28 + 2912128000000*t^26 - 2096816000000*t^24 + 1022496000000*t^22 - 264868000000*t^20 - 90248000000*t^18 + 160376000000*t^16 - 102928000000*t^14 + 38188000000*t^12 - 7864000000*t^10 + 648000000*t^8 + 16000000*t^6)*x^4 + (-6400000000*t^64 + 91200000000*t^62 - 606800000000*t^60 + 2505200000000*t^58 - 7200352000000*t^56 + 15341024000000*t^54 - 25217760000000*t^52 + 32816976000000*t^50 - 34047648000000*t^48 + 27060976000000*t^46 - 13085392000000*t^44 - 3728400000000*t^42 + 17519792000000*t^40 - 23682576000000*t^38 + 21654720000000*t^36 - 14562800000000*t^34 + 6452160000000*t^32 - 235520000000*t^30 - 2785440000000*t^28 + 2889904000000*t^26 - 1526928000000*t^24 + 236880000000*t^22 + 308288000000*t^20 - 295744000000*t^18 + 136512000000*t^16 - 36944000000*t^14 + 5280000000*t^12 - 176000000*t^10 - 32000000*t^8)*x^2 + (1936000000*t^62 - 29744000000*t^60 + 214080000000*t^58 - 958080000000*t^56 + 2983520000000*t^54 - 6851824000000*t^52 + 11986896000000*t^50 - 16218080000000*t^48 + 16882000000000*t^46 - 12824720000000*t^44 + 5381648000000*t^42 + 2445168000000*t^40 - 7633840000000*t^38 + 8588160000000*t^36 - 5927760000000*t^34 + 2034768000000*t^32 + 695888000000*t^30 - 1455920000000*t^28 + 990400000000*t^26 - 359280000000*t^24 + 39216000000*t^22 + 27376000000*t^20 - 14240000000*t^18 + 2320000000*t^16 + 240000000*t^14 - 144000000*t^12 + 16000000*t^10)'}