## Results (displaying matches 1-50 of 284) Next

Label Polynomial Discriminant Galois group Class group
9.9.16983563041.1 x9 - x8 - 8x7 + 7x6 + 21x5 - 15x4 - 20x3 + 10x2 + 5x - 1 $$19^{8}$$ $C_9$ (as 9T1) Trivial
9.9.31381059609.1 x9 - 9x7 + 27x5 - 30x3 + 9x - 1 $$3^{22}$$ $C_9$ (as 9T1) Trivial
9.9.3512479453921.1 x9 - x8 - 16x7 + 11x6 + 66x5 - 32x4 - 73x3 + 7x2 + 7x - 1 $$37^{8}$$ $C_9$ (as 9T1) Trivial
9.9.806460091894081.1 x9 - x8 - 32x7 + 11x6 + 278x5 + 34x4 - 427x3 - 150x2 - 8x + 1 $$73^{8}$$ $C_9$ (as 9T1) Trivial
9.9.1998099208210609.1 x9 - x8 - 46x7 + 7x6 + 572x5 - 72x4 - 2281x3 + 770x2 + 1050x - 77 $$7^{6}\cdot 19^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.1998099208210609.2 x9 - x8 - 46x7 + 7x6 + 572x5 + 460x4 - 1483x3 - 1757x2 + 385x + 721 $$7^{6}\cdot 19^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.3691950281939241.1 x9 - 63x7 + 1323x5 - 10290x3 + 21609x - 12691 $$3^{22}\cdot 7^{6}$$ $C_9$ (as 9T1) $[3]$
9.9.3691950281939241.2 x9 - 63x7 + 1323x5 - 10290x3 + 21609x - 5831 $$3^{22}\cdot 7^{6}$$ $C_9$ (as 9T1) $[3]$
9.9.9025761726072081.1 x9 - 57x7 - 38x6 + 855x5 + 228x4 - 4902x3 + 1710x2 + 9063x - 7201 $$3^{12}\cdot 19^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.9025761726072081.2 x9 - 57x7 - 38x6 + 855x5 + 1254x4 - 3192x3 - 7524x2 - 4275x - 703 $$3^{12}\cdot 19^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.19925626416901921.1 x9 - x8 - 48x7 + 73x6 + 660x5 - 1454x4 - 2149x3 + 8350x2 - 7432x + 2008 $$109^{8}$$ $C_9$ (as 9T1) Trivial
9.9.67675234241018881.1 x9 - x8 - 56x7 + 118x6 + 573x5 - 1249x4 - 1582x3 + 2700x2 + 1576x - 32 $$127^{8}$$ $C_9$ (as 9T1) Trivial (GRH)
9.9.81976414938366169.1 x9 - x8 - 84x7 + 121x6 + 1940x5 - 3682x4 - 13415x3 + 34419x2 - 2009x - 26411 $$13^{6}\cdot 19^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.81976414938366169.2 x9 - x8 - 84x7 + 121x6 + 1940x5 - 1706x4 - 17861x3 + 3544x2 + 58012x + 23977 $$13^{6}\cdot 19^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.151470380950257681.1 x9 - 117x7 + 4563x5 - 65910x3 + 257049x - 195533 $$3^{22}\cdot 13^{6}$$ $C_9$ (as 9T1) $[3]$
9.9.151470380950257681.2 x9 - 117x7 + 4563x5 - 65910x3 + 257049x - 41743 $$3^{22}\cdot 13^{6}$$ $C_9$ (as 9T1) $[3]$
9.9.413239695274351729.1 x9 - x8 - 90x7 + 11x6 + 2730x5 + 1226x4 - 30339x3 - 14830x2 + 103200x + 1849 $$7^{6}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.413239695274351729.2 x9 - x8 - 90x7 + 11x6 + 1953x5 + 1485x4 - 12986x3 - 15866x2 + 20579x + 28267 $$7^{6}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.498311414318121121.1 x9 - x8 - 72x7 + 73x6 + 1482x5 - 1034x4 - 9637x3 + 1173x2 + 10087x - 853 $$163^{8}$$ $C_9$ (as 9T1) $[2, 2]$
9.9.1151936657823500641.1 x9 - x8 - 80x7 - 53x6 + 1668x5 + 3314x4 - 4261x3 - 10795x2 - 2933x + 1949 $$181^{8}$$ $C_9$ (as 9T1) Trivial (GRH)
9.9.1476349596018920529.1 x9 - 171x7 + 9747x5 - 205770x3 + 1172889x - 1118017 $$3^{22}\cdot 19^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.1476349596018920529.2 x9 - 171x7 + 9747x5 - 205770x3 + 1172889x - 733913 $$3^{22}\cdot 19^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.1866675593471230161.1 x9 - 111x7 - 74x6 + 3663x5 + 3774x4 - 40848x3 - 30636x2 + 137529x - 42661 $$3^{12}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.1866675593471230161.2 x9 - 111x7 - 74x6 + 3663x5 + 5772x4 - 37518x3 - 84582x2 + 39627x + 129833 $$3^{12}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$
9.9.2459374191553118401.1 x9 - x8 - 88x7 + 325x6 + 775x5 - 3447x4 - 1602x3 + 7354x2 - 3333x - 121 $$199^{8}$$ $C_9$ (as 9T1) Trivial (GRH)
9.9.15072974715383053921.1 x9 - x8 - 198x7 - 107x6 + 10319x5 + 973x4 - 189602x3 + 170782x2 + 815941x - 1009547 $$19^{8}\cdot 31^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.15072974715383053921.2 x9 - x8 - 198x7 - 107x6 + 10319x5 + 24533x4 - 118922x3 - 460626x2 - 367949x + 57721 $$19^{8}\cdot 31^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.16954067440500968089.1 x9 - x8 - 164x7 + 233x6 + 8539x5 - 16127x4 - 140932x3 + 331342x2 + 98797x - 419359 $$13^{6}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.16954067440500968089.2 x9 - x8 - 164x7 + 233x6 + 7096x5 - 13722x4 - 95237x3 + 217826x2 + 113708x - 70153 $$13^{6}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.27850805916667920729.1 x9 - 279x7 + 25947x5 - 893730x3 + 8311689x - 8609599 $$3^{22}\cdot 31^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.27850805916667920729.2 x9 - 279x7 + 25947x5 - 893730x3 + 8311689x - 566029 $$3^{22}\cdot 31^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.29090710405024191361.1 x9 - x8 - 120x7 + 543x6 + 858x5 - 6780x4 + 7217x3 + 2818x2 - 4068x + 261 $$271^{8}$$ $C_9$ (as 9T1) Trivial (GRH)
9.9.43575176213210049769.1 x9 - x8 - 236x7 + 653x6 + 15050x5 - 54792x4 - 284735x3 + 1266246x2 + 191050x - 3107603 $$19^{8}\cdot 37^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.43575176213210049769.2 x9 - x8 - 236x7 + 653x6 + 15050x5 - 37920x4 - 378937x3 + 524581x2 + 3505695x + 855911 $$19^{8}\cdot 37^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.78905450517641748001.1 x9 - x8 - 136x7 + 365x6 + 3572x5 - 11176x4 + 1999x3 + 15708x2 - 8316x - 1944 $$307^{8}$$ $C_9$ (as 9T1) Trivial (GRH)
9.9.80515213381214514081.2 x9 - 333x7 + 36963x5 - 1519590x3 + 16867449x - 21932749 $$3^{22}\cdot 37^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.80515213381214514081.3 x9 - 333x7 + 36963x5 - 1519590x3 + 16867449x - 16360919 $$3^{22}\cdot 37^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.94879223351246735569.1 x9 - x8 - 178x7 + 595x6 + 6775x5 - 25005x4 - 46928x3 + 74456x2 + 85329x + 18397 $$7^{6}\cdot 73^{8}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.94879223351246735569.2 x9 - x8 - 178x7 - 427x6 + 7286x5 + 23540x4 - 109781x3 - 397197x2 + 545229x + 2104299 $$7^{6}\cdot 73^{8}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.107359267847739472009.1 x9 - x8 - 274x7 + 577x6 + 20123x5 - 67883x4 - 409774x3 + 2059534x2 - 1701977x - 1290899 $$19^{8}\cdot 43^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.107359267847739472009.2 x9 - x8 - 274x7 + 577x6 + 20123x5 - 22131x4 - 586246x3 - 123490x2 + 6054621x + 8405257 $$19^{8}\cdot 43^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.165247690404112349401.1 x9 - x8 - 238x7 - 285x6 + 15680x5 + 55764x4 - 208901x3 - 1310052x2 - 1827386x - 343139 $$19^{6}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.165247690404112349401.2 x9 - x8 - 238x7 - 285x6 + 17789x5 + 49437x4 - 365670x3 - 1055566x2 + 1831729x + 2605243 $$19^{6}\cdot 37^{8}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.198371070650798987841.1 x9 - 387x7 + 49923x5 - 2385210x3 + 30769209x - 35698643 $$3^{22}\cdot 43^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.198371070650798987841.2 x9 - 387x7 + 49923x5 - 2385210x3 + 30769209x - 5644997 $$3^{22}\cdot 43^{6}$$ $C_9$ (as 9T1) $[3]$ (GRH)
9.9.425709831200577608161.1 x9 - x8 - 168x7 + 591x6 + 5776x5 - 20434x4 - 69977x3 + 148399x2 + 389543x + 65245 $$379^{8}$$ $C_9$ (as 9T1) Trivial (GRH)
9.9.428585957696282300721.1 x9 - 219x7 - 730x6 + 9855x5 + 36792x4 - 148482x3 - 484866x2 + 609039x + 810081 $$3^{12}\cdot 73^{8}$$ $C_9$ (as 9T1) $[3, 3]$ (GRH)
9.9.428585957696282300721.2 x9 - 219x7 - 584x6 + 9855x5 + 30222x4 - 139284x3 - 437562x2 + 561735x + 1779813 $$3^{12}\cdot 73^{8}$$ $C_9$ (as 9T1) $[3, 3]$ (GRH)
9.9.532962204162830310969.5 x9 - 171x7 - 342x6 + 3591x5 + 10260x4 - 13566x3 - 70794x2 - 73701x - 21869 $$3^{22}\cdot 19^{8}$$ $C_9$ (as 9T1) $[9]$ (GRH)
9.9.532962204162830310969.6 x9 - 171x7 - 342x6 + 3591x5 + 5130x4 - 26904x3 - 18468x2 + 68913x - 2375 $$3^{22}\cdot 19^{8}$$ $C_9$ (as 9T1) $[9]$ (GRH)
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