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Label Polynomial Discriminant Galois group Class group Regulator
9.9.16983563041.1 x9x88x7+7x6+21x515x420x3+10x2+5x1x^{9} - x^{8} - 8 x^{7} + 7 x^{6} + 21 x^{5} - 15 x^{4} - 20 x^{3} + 10 x^{2} + 5 x - 1 19819^{8} C9C_9 (as 9T1) trivial 87.13240265387.132402653
9.9.31381059609.1 x99x7+27x530x3+9x1x^{9} - 9 x^{7} + 27 x^{5} - 30 x^{3} + 9 x - 1 3223^{22} C9C_9 (as 9T1) trivial 159.898566189159.898566189
9.9.3512479453921.1 x9x816x7+11x6+66x532x473x3+7x2+7x1x^{9} - x^{8} - 16 x^{7} + 11 x^{6} + 66 x^{5} - 32 x^{4} - 73 x^{3} + 7 x^{2} + 7 x - 1 37837^{8} C9C_9 (as 9T1) trivial 1598.247305521598.24730552
9.9.806460091894081.1 x9x832x7+11x6+278x5+34x4427x3150x28x+1x^{9} - x^{8} - 32 x^{7} + 11 x^{6} + 278 x^{5} + 34 x^{4} - 427 x^{3} - 150 x^{2} - 8 x + 1 73873^{8} C9C_9 (as 9T1) trivial 15512.198035715512.1980357
9.9.1998099208210609.1 x9x846x7+7x6+572x572x42281x3+770x2+1050x77x^{9} - x^{8} - 46 x^{7} + 7 x^{6} + 572 x^{5} - 72 x^{4} - 2281 x^{3} + 770 x^{2} + 1050 x - 77 761987^{6}\cdot 19^{8} C9C_9 (as 9T1) [3][3] 29669.76391729669.763917
9.9.1998099208210609.2 x9x846x7+7x6+572x5+460x41483x31757x2+385x+721x^{9} - x^{8} - 46 x^{7} + 7 x^{6} + 572 x^{5} + 460 x^{4} - 1483 x^{3} - 1757 x^{2} + 385 x + 721 761987^{6}\cdot 19^{8} C9C_9 (as 9T1) [3][3] 17066.653703117066.6537031
9.9.3691950281939241.1 x963x7+1323x510290x3+21609x12691x^{9} - 63 x^{7} + 1323 x^{5} - 10290 x^{3} + 21609 x - 12691 322763^{22}\cdot 7^{6} C9C_9 (as 9T1) [3][3] 17156.868325117156.8683251
9.9.3691950281939241.2 x963x7+1323x510290x3+21609x5831x^{9} - 63 x^{7} + 1323 x^{5} - 10290 x^{3} + 21609 x - 5831 322763^{22}\cdot 7^{6} C9C_9 (as 9T1) [3][3] 40597.219586740597.2195867
9.9.9025761726072081.1 x957x738x6+855x5+228x44902x3+1710x2+9063x7201x^{9} - 57 x^{7} - 38 x^{6} + 855 x^{5} + 228 x^{4} - 4902 x^{3} + 1710 x^{2} + 9063 x - 7201 3121983^{12}\cdot 19^{8} C9C_9 (as 9T1) [3][3] 58633.71083558633.710835
9.9.9025761726072081.2 x957x738x6+855x5+1254x43192x37524x24275x703x^{9} - 57 x^{7} - 38 x^{6} + 855 x^{5} + 1254 x^{4} - 3192 x^{3} - 7524 x^{2} - 4275 x - 703 3121983^{12}\cdot 19^{8} C9C_9 (as 9T1) [3][3] 86043.106266886043.1062668
9.9.19925626416901921.1 x9x848x7+73x6+660x51454x42149x3+8350x27432x+2008x^{9} - x^{8} - 48 x^{7} + 73 x^{6} + 660 x^{5} - 1454 x^{4} - 2149 x^{3} + 8350 x^{2} - 7432 x + 2008 1098109^{8} C9C_9 (as 9T1) trivial 120939.78896120939.78896
9.9.67675234241018881.1 x9x856x7+118x6+573x51249x41582x3+2700x2+1576x32x^{9} - x^{8} - 56 x^{7} + 118 x^{6} + 573 x^{5} - 1249 x^{4} - 1582 x^{3} + 2700 x^{2} + 1576 x - 32 1278127^{8} C9C_9 (as 9T1) trivial 64259015.268264259015.2682
9.9.81976414938366169.1 x9x884x7+121x6+1940x53682x413415x3+34419x22009x26411x^{9} - x^{8} - 84 x^{7} + 121 x^{6} + 1940 x^{5} - 3682 x^{4} - 13415 x^{3} + 34419 x^{2} - 2009 x - 26411 13619813^{6}\cdot 19^{8} C9C_9 (as 9T1) [3][3] 421404.034925421404.034925
9.9.81976414938366169.2 x9x884x7+121x6+1940x51706x417861x3+3544x2+58012x+23977x^{9} - x^{8} - 84 x^{7} + 121 x^{6} + 1940 x^{5} - 1706 x^{4} - 17861 x^{3} + 3544 x^{2} + 58012 x + 23977 13619813^{6}\cdot 19^{8} C9C_9 (as 9T1) [3][3] 53619.249624953619.2496249
9.9.151470380950257681.1 x9117x7+4563x565910x3+257049x195533x^{9} - 117 x^{7} + 4563 x^{5} - 65910 x^{3} + 257049 x - 195533 3221363^{22}\cdot 13^{6} C9C_9 (as 9T1) [3][3] 233016.463019233016.463019
9.9.151470380950257681.2 x9117x7+4563x565910x3+257049x41743x^{9} - 117 x^{7} + 4563 x^{5} - 65910 x^{3} + 257049 x - 41743 3221363^{22}\cdot 13^{6} C9C_9 (as 9T1) [3][3] 214694.556945214694.556945
9.9.413239695274351729.1 x9x890x7+11x6+2730x5+1226x430339x314830x2+103200x+1849x^{9} - x^{8} - 90 x^{7} + 11 x^{6} + 2730 x^{5} + 1226 x^{4} - 30339 x^{3} - 14830 x^{2} + 103200 x + 1849 763787^{6}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 135908.267095135908.267095
9.9.413239695274351729.2 x9x890x7+11x6+1953x5+1485x412986x315866x2+20579x+28267x^{9} - x^{8} - 90 x^{7} + 11 x^{6} + 1953 x^{5} + 1485 x^{4} - 12986 x^{3} - 15866 x^{2} + 20579 x + 28267 763787^{6}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 483519.35341483519.35341
9.9.498311414318121121.1 x9x872x7+73x6+1482x51034x49637x3+1173x2+10087x853x^{9} - x^{8} - 72 x^{7} + 73 x^{6} + 1482 x^{5} - 1034 x^{4} - 9637 x^{3} + 1173 x^{2} + 10087 x - 853 1638163^{8} C9C_9 (as 9T1) [2,2][2, 2] 160679.065001160679.065001
9.9.1151936657823500641.1 x9x880x753x6+1668x5+3314x44261x310795x22933x+1949x^{9} - x^{8} - 80 x^{7} - 53 x^{6} + 1668 x^{5} + 3314 x^{4} - 4261 x^{3} - 10795 x^{2} - 2933 x + 1949 1818181^{8} C9C_9 (as 9T1) trivial 1356171.336171356171.33617
9.9.1476349596018920529.1 x9171x7+9747x5205770x3+1172889x1118017x^{9} - 171 x^{7} + 9747 x^{5} - 205770 x^{3} + 1172889 x - 1118017 3221963^{22}\cdot 19^{6} C9C_9 (as 9T1) [3][3] 784138.972462784138.972462
9.9.1476349596018920529.2 x9171x7+9747x5205770x3+1172889x733913x^{9} - 171 x^{7} + 9747 x^{5} - 205770 x^{3} + 1172889 x - 733913 3221963^{22}\cdot 19^{6} C9C_9 (as 9T1) [3][3] 399809.251389399809.251389
9.9.1866675593471230161.1 x9111x774x6+3663x5+3774x440848x330636x2+137529x42661x^{9} - 111 x^{7} - 74 x^{6} + 3663 x^{5} + 3774 x^{4} - 40848 x^{3} - 30636 x^{2} + 137529 x - 42661 3123783^{12}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 380116.876345380116.876345
9.9.1866675593471230161.2 x9111x774x6+3663x5+5772x437518x384582x2+39627x+129833x^{9} - 111 x^{7} - 74 x^{6} + 3663 x^{5} + 5772 x^{4} - 37518 x^{3} - 84582 x^{2} + 39627 x + 129833 3123783^{12}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 1103271.334071103271.33407
9.9.2459374191553118401.1 x9x888x7+325x6+775x53447x41602x3+7354x23333x121x^{9} - x^{8} - 88 x^{7} + 325 x^{6} + 775 x^{5} - 3447 x^{4} - 1602 x^{3} + 7354 x^{2} - 3333 x - 121 1998199^{8} C9C_9 (as 9T1) trivial 2331050.10922331050.1092
9.9.150...921.1 x9x8198x7107x6+10319x5+973x4189602x3+170782x2+815941x1009547x^{9} - x^{8} - 198 x^{7} - 107 x^{6} + 10319 x^{5} + 973 x^{4} - 189602 x^{3} + 170782 x^{2} + 815941 x - 1009547 19831619^{8}\cdot 31^{6} C9C_9 (as 9T1) [3][3] 6898775.799276898775.79927
9.9.150...921.2 x9x8198x7107x6+10319x5+24533x4118922x3460626x2367949x+57721x^{9} - x^{8} - 198 x^{7} - 107 x^{6} + 10319 x^{5} + 24533 x^{4} - 118922 x^{3} - 460626 x^{2} - 367949 x + 57721 19831619^{8}\cdot 31^{6} C9C_9 (as 9T1) [3][3] 785284.164362785284.164362
9.9.169...089.1 x9x8164x7+233x6+8539x516127x4140932x3+331342x2+98797x419359x^{9} - x^{8} - 164 x^{7} + 233 x^{6} + 8539 x^{5} - 16127 x^{4} - 140932 x^{3} + 331342 x^{2} + 98797 x - 419359 13637813^{6}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 1396236.990811396236.99081
9.9.169...089.2 x9x8164x7+233x6+7096x513722x495237x3+217826x2+113708x70153x^{9} - x^{8} - 164 x^{7} + 233 x^{6} + 7096 x^{5} - 13722 x^{4} - 95237 x^{3} + 217826 x^{2} + 113708 x - 70153 13637813^{6}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 3194362.617613194362.61761
9.9.278...729.1 x9279x7+25947x5893730x3+8311689x8609599x^{9} - 279 x^{7} + 25947 x^{5} - 893730 x^{3} + 8311689 x - 8609599 3223163^{22}\cdot 31^{6} C9C_9 (as 9T1) [3][3] 3358979.963033358979.96303
9.9.278...729.2 x9279x7+25947x5893730x3+8311689x566029x^{9} - 279 x^{7} + 25947 x^{5} - 893730 x^{3} + 8311689 x - 566029 3223163^{22}\cdot 31^{6} C9C_9 (as 9T1) [3][3] 2452297.552992452297.55299
9.9.290...361.1 x9x8120x7+543x6+858x56780x4+7217x3+2818x24068x+261x^{9} - x^{8} - 120 x^{7} + 543 x^{6} + 858 x^{5} - 6780 x^{4} + 7217 x^{3} + 2818 x^{2} - 4068 x + 261 2718271^{8} C9C_9 (as 9T1) trivial 190161211.995190161211.995
9.9.435...769.1 x9x8236x7+653x6+15050x554792x4284735x3+1266246x2+191050x3107603x^{9} - x^{8} - 236 x^{7} + 653 x^{6} + 15050 x^{5} - 54792 x^{4} - 284735 x^{3} + 1266246 x^{2} + 191050 x - 3107603 19837619^{8}\cdot 37^{6} C9C_9 (as 9T1) [3][3] 1312040.919221312040.91922
9.9.435...769.2 x9x8236x7+653x6+15050x537920x4378937x3+524581x2+3505695x+855911x^{9} - x^{8} - 236 x^{7} + 653 x^{6} + 15050 x^{5} - 37920 x^{4} - 378937 x^{3} + 524581 x^{2} + 3505695 x + 855911 19837619^{8}\cdot 37^{6} C9C_9 (as 9T1) [3][3] 4822443.935174822443.93517
9.9.789...001.1 x9x8136x7+365x6+3572x511176x4+1999x3+15708x28316x1944x^{9} - x^{8} - 136 x^{7} + 365 x^{6} + 3572 x^{5} - 11176 x^{4} + 1999 x^{3} + 15708 x^{2} - 8316 x - 1944 3078307^{8} C9C_9 (as 9T1) trivial 235679015.694235679015.694
9.9.805...081.2 x9333x7+36963x51519590x3+16867449x21932749x^{9} - 333 x^{7} + 36963 x^{5} - 1519590 x^{3} + 16867449 x - 21932749 3223763^{22}\cdot 37^{6} C9C_9 (as 9T1) [3][3] 2734333.089572734333.08957
9.9.805...081.3 x9333x7+36963x51519590x3+16867449x16360919x^{9} - 333 x^{7} + 36963 x^{5} - 1519590 x^{3} + 16867449 x - 16360919 3223763^{22}\cdot 37^{6} C9C_9 (as 9T1) [3][3] 5545508.095045545508.09504
9.9.948...569.1 x9x8178x7+595x6+6775x525005x446928x3+74456x2+85329x+18397x^{9} - x^{8} - 178 x^{7} + 595 x^{6} + 6775 x^{5} - 25005 x^{4} - 46928 x^{3} + 74456 x^{2} + 85329 x + 18397 767387^{6}\cdot 73^{8} C9C_9 (as 9T1) [3][3] 5808098.738195808098.73819
9.9.948...569.2 x9x8178x7427x6+7286x5+23540x4109781x3397197x2+545229x+2104299x^{9} - x^{8} - 178 x^{7} - 427 x^{6} + 7286 x^{5} + 23540 x^{4} - 109781 x^{3} - 397197 x^{2} + 545229 x + 2104299 767387^{6}\cdot 73^{8} C9C_9 (as 9T1) [3][3] 103368266.058103368266.058
9.9.107...009.1 x9x8274x7+577x6+20123x567883x4409774x3+2059534x21701977x1290899x^{9} - x^{8} - 274 x^{7} + 577 x^{6} + 20123 x^{5} - 67883 x^{4} - 409774 x^{3} + 2059534 x^{2} - 1701977 x - 1290899 19843619^{8}\cdot 43^{6} C9C_9 (as 9T1) [3][3] 3270598.895553270598.89555
9.9.107...009.2 x9x8274x7+577x6+20123x522131x4586246x3123490x2+6054621x+8405257x^{9} - x^{8} - 274 x^{7} + 577 x^{6} + 20123 x^{5} - 22131 x^{4} - 586246 x^{3} - 123490 x^{2} + 6054621 x + 8405257 19843619^{8}\cdot 43^{6} C9C_9 (as 9T1) [3][3] 7178955.867477178955.86747
9.9.165...401.1 x9x8238x7285x6+15680x5+55764x4208901x31310052x21827386x343139x^{9} - x^{8} - 238 x^{7} - 285 x^{6} + 15680 x^{5} + 55764 x^{4} - 208901 x^{3} - 1310052 x^{2} - 1827386 x - 343139 19637819^{6}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 5458915.677915458915.67791
9.9.165...401.2 x9x8238x7285x6+17789x5+49437x4365670x31055566x2+1831729x+2605243x^{9} - x^{8} - 238 x^{7} - 285 x^{6} + 17789 x^{5} + 49437 x^{4} - 365670 x^{3} - 1055566 x^{2} + 1831729 x + 2605243 19637819^{6}\cdot 37^{8} C9C_9 (as 9T1) [3][3] 4298056.788224298056.78822
9.9.198...841.1 x9387x7+49923x52385210x3+30769209x35698643x^{9} - 387 x^{7} + 49923 x^{5} - 2385210 x^{3} + 30769209 x - 35698643 3224363^{22}\cdot 43^{6} C9C_9 (as 9T1) [3][3] 4865245.743684865245.74368
9.9.198...841.2 x9387x7+49923x52385210x3+30769209x5644997x^{9} - 387 x^{7} + 49923 x^{5} - 2385210 x^{3} + 30769209 x - 5644997 3224363^{22}\cdot 43^{6} C9C_9 (as 9T1) [3][3] 11739683.235111739683.2351
9.9.425...161.1 x9x8168x7+591x6+5776x520434x469977x3+148399x2+389543x+65245x^{9} - x^{8} - 168 x^{7} + 591 x^{6} + 5776 x^{5} - 20434 x^{4} - 69977 x^{3} + 148399 x^{2} + 389543 x + 65245 3798379^{8} C9C_9 (as 9T1) trivial 67087578.083467087578.0834
9.9.428...721.1 x9219x7730x6+9855x5+36792x4148482x3484866x2+609039x+810081x^{9} - 219 x^{7} - 730 x^{6} + 9855 x^{5} + 36792 x^{4} - 148482 x^{3} - 484866 x^{2} + 609039 x + 810081 3127383^{12}\cdot 73^{8} C9C_9 (as 9T1) [3,3][3, 3] 4758026.426024758026.42602
9.9.428...721.2 x9219x7584x6+9855x5+30222x4139284x3437562x2+561735x+1779813x^{9} - 219 x^{7} - 584 x^{6} + 9855 x^{5} + 30222 x^{4} - 139284 x^{3} - 437562 x^{2} + 561735 x + 1779813 3127383^{12}\cdot 73^{8} C9C_9 (as 9T1) [3,3][3, 3] 17216132.868317216132.8683
9.9.532...969.5 x9171x7342x6+3591x5+10260x413566x370794x273701x21869x^{9} - 171 x^{7} - 342 x^{6} + 3591 x^{5} + 10260 x^{4} - 13566 x^{3} - 70794 x^{2} - 73701 x - 21869 3221983^{22}\cdot 19^{8} C9C_9 (as 9T1) [9][9] 3014820.241873014820.24187
9.9.532...969.6 x9171x7342x6+3591x5+5130x426904x318468x2+68913x2375x^{9} - 171 x^{7} - 342 x^{6} + 3591 x^{5} + 5130 x^{4} - 26904 x^{3} - 18468 x^{2} + 68913 x - 2375 3221983^{22}\cdot 19^{8} C9C_9 (as 9T1) [9][9] 22548077.962822548077.9628
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