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Results (1-50 of 75 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
9.3.340...376.1 $x^{9} - 4 x^{8} - 585 x^{7} + 14453 x^{6} - 172719 x^{5} + 1243212 x^{4} - 5630958 x^{3} + 15712707 x^{2} - 24689313 x + 16722389$ $-\,2^{6}\cdot 13^{7}\cdot 41^{3}\cdot 103^{7}$ $S_3\times C_3$ (as 9T4) $[6, 6, 48204]$ $34397.879443616366$
9.3.448...128.1 $x^{9} - 1260 x^{6} - 661824 x^{3} - 74088000$ $-\,2^{6}\cdot 3^{19}\cdot 919^{6}$ $S_3\times C_3$ (as 9T4) $[3, 6, 6, 13104]$ $214428.33004011874$
9.3.627...187.2 $x^{9} - 3 x^{7} - x^{6} - 17496 x^{5} - 11664 x^{4} - 34014168 x^{3} - 34012224 x^{2} - 11337408 x - 1259712$ $-\,3^{13}\cdot 19^{6}\cdot 307^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 42, 4914]$ $62273.4322336018$
9.3.678...603.2 $x^{9} - 723 x^{7} - 768 x^{6} + 555264 x^{5} - 10845 x^{4} - 358656 x^{3} + 34704 x^{2} - 197379 x + 8193$ $-\,3^{15}\cdot 17^{6}\cdot 241^{6}$ $S_3\times C_3$ (as 9T4) $[3, 18, 18, 1512]$ $53288.51716713899$
9.3.825...392.1 $x^{9} - 2 x^{8} - 657 x^{7} + 15741 x^{6} - 187083 x^{5} + 1347288 x^{4} - 6116310 x^{3} + 17111595 x^{2} - 26952291 x + 18292829$ $-\,2^{6}\cdot 43^{3}\cdot 1489^{7}$ $S_3\times C_3$ (as 9T4) $[5, 557080]$ $37008.46851713485$
9.3.895...587.1 $x^{9} - 393 x^{6} - 64374 x^{3} - 2248091$ $-\,3^{15}\cdot 7^{6}\cdot 613^{6}$ $S_3\times C_3$ (as 9T4) $[6, 12, 12, 1248]$ $87772.41031705221$
9.3.158...427.1 $x^{9} - 165 x^{6} - 11346 x^{3} - 166375$ $-\,3^{19}\cdot 2269^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 18, 9828]$ $109385.58531697423$
9.3.169...232.3 $x^{9} - 16038 x^{6} - 177986160 x^{3} - 152787161736$ $-\,2^{6}\cdot 3^{15}\cdot 7^{6}\cdot 11^{6}\cdot 31^{6}$ $S_3\times C_3$ (as 9T4) $[3, 6, 18, 7056]$ $271137.5326652481$
9.3.213...544.1 $x^{9} - 3 x^{8} - 957 x^{7} + 27672 x^{6} - 392592 x^{5} + 3369291 x^{4} - 18273543 x^{3} + 61327815 x^{2} - 116376726 x + 95533631$ $-\,2^{6}\cdot 3^{15}\cdot 17^{3}\cdot 241^{7}$ $S_3\times C_3$ (as 9T4) $[2, 6, 228438]$ $47584.893038373826$
9.3.221...987.1 $x^{9} - 16767 x^{6} - 194534460 x^{3} - 174583151469$ $-\,3^{15}\cdot 7^{6}\cdot 23^{6}\cdot 31^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 263592]$ $274268.5071836248$
9.3.267...568.1 $x^{9} - 1733 x^{7} - 5755 x^{6} + 911599 x^{5} + 7542876 x^{4} - 118327042 x^{3} - 1233693595 x^{2} - 1697154363 x - 28351855531$ $-\,2^{6}\cdot 7^{6}\cdot 109^{3}\cdot 223^{7}$ $S_3\times C_3$ (as 9T4) $[3, 3, 15, 30, 390]$ $124540.9568874425$
9.3.460...000.2 $x^{9} - 5700 x^{6} - 13560000 x^{3} - 6859000000$ $-\,2^{6}\cdot 3^{19}\cdot 5^{6}\cdot 271^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 6, 18, 1386]$ $111740.92499105111$
9.3.639...672.1 $x^{9} - 378 x^{6} - 59544 x^{3} - 2000376$ $-\,2^{6}\cdot 3^{15}\cdot 13^{6}\cdot 229^{6}$ $S_3\times C_3$ (as 9T4) $[2, 6, 18, 11466]$ $374738.82858588477$
9.3.100...832.2 $x^{9} - 3 x^{7} - x^{6} - 27783 x^{5} - 18522 x^{4} - 85769208 x^{3} - 85766121 x^{2} - 28588707 x - 3176523$ $-\,2^{6}\cdot 3^{13}\cdot 11^{6}\cdot 421^{6}$ $S_3\times C_3$ (as 9T4) $[6, 794430]$ $75810.35043552486$
9.3.117...512.1 $x^{9} - 2 x^{8} + 1847 x^{7} + 7383 x^{6} - 1298809 x^{5} + 76766070 x^{4} - 2514365676 x^{3} + 54052096969 x^{2} - 1050669706501 x + 6529374868801$ $-\,2^{6}\cdot 11^{3}\cdot 13^{6}\cdot 433^{7}$ $S_3\times C_3$ (as 9T4) $[2, 2, 2, 6, 39102]$ $159737.6422330274$
9.3.144...112.3 $x^{9} - 1095 x^{7} - 14489 x^{6} - 190845 x^{5} - 2483364 x^{4} - 38171220 x^{3} - 397946835 x^{2} + 501437547 x - 159743823$ $-\,2^{6}\cdot 3^{13}\cdot 7^{6}\cdot 19^{6}\cdot 37^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 36, 36, 180]$ $102811.5846861693$
9.3.150...088.1 $x^{9} - 3 x^{8} - 363 x^{7} + 938 x^{6} + 166422 x^{5} - 344955 x^{4} - 11546887 x^{3} + 26836503 x^{2} - 7301815632 x + 3338141159$ $-\,2^{6}\cdot 3^{9}\cdot 17^{3}\cdot 19^{7}\cdot 43^{7}$ $S_3\times C_3$ (as 9T4) $[6, 18, 16668]$ $180013.72439652862$
9.3.185...027.1 $x^{9} - 13689 x^{6} - 78142896 x^{3} - 95006081547$ $-\,3^{15}\cdot 13^{6}\cdot 547^{6}$ $S_3\times C_3$ (as 9T4) $[2, 6, 527352]$ $160723.55777607634$
9.3.200...488.1 $x^{9} - 4 x^{8} - 2929 x^{7} + 89835 x^{6} - 997717 x^{5} + 8346300 x^{4} - 39898436 x^{3} + 136057949 x^{2} - 264004739 x + 338501389$ $-\,2^{9}\cdot 13^{7}\cdot 673^{7}$ $S_3\times C_3$ (as 9T4) $[2, 78, 8034]$ $349918.3279945101$
9.3.289...008.2 $x^{9} - 15876 x^{6} - 105106176 x^{3} - 148203857088$ $-\,2^{6}\cdot 3^{15}\cdot 7^{6}\cdot 547^{6}$ $S_3\times C_3$ (as 9T4) $[2, 2, 2, 2, 2, 6, 24, 1368]$ $164175.0591379737$
9.3.375...907.1 $x^{9} + 2337 x^{7} - 1140 x^{6} + 1364580 x^{5} - 1320177 x^{4} - 866400 x^{3} + 1234620 x^{2} - 390963 x - 6859$ $-\,3^{15}\cdot 19^{6}\cdot 421^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 1001910]$ $72167.12461023183$
9.3.544...176.1 $x^{9} - 2 x^{8} - 4537 x^{7} + 105119 x^{6} + 350593 x^{5} + 10479330 x^{4} + 34683810 x^{3} + 270300503 x^{2} + 453760859 x + 1786687487$ $-\,2^{6}\cdot 37^{7}\cdot 367^{7}$ $S_3\times C_3$ (as 9T4) $[2, 2, 2, 6, 87594]$ $139967.81973237105$
9.3.678...723.1 $x^{9} - 147 x^{6} - 81739644 x^{3} - 117649$ $-\,3^{15}\cdot 7^{6}\cdot 13^{6}\cdot 97^{6}$ $S_3\times C_3$ (as 9T4) $[3, 6, 18, 18, 504]$ $250710.4057800614$
9.3.760...000.1 $x^{9} - x^{8} - 1133 x^{7} - 31456 x^{6} - 442928 x^{5} - 3804907 x^{4} - 20712287 x^{3} - 69811591 x^{2} - 133016690 x - 109584551$ $-\,2^{6}\cdot 5^{3}\cdot 11^{3}\cdot 2557^{7}$ $S_3\times C_3$ (as 9T4) $[7, 1322678]$ $52924.237252388724$
9.3.806...123.2 $x^{9} - 8349 x^{6} - 29077026 x^{3} - 21554582687$ $-\,3^{19}\cdot 11^{6}\cdot 397^{6}$ $S_3\times C_3$ (as 9T4) $[29, 87, 3654]$ $134694.47100212527$
9.3.933...456.1 $x^{9} - 4971 x^{7} - 77879 x^{6} + 8351280 x^{5} + 263502768 x^{4} - 2658729408 x^{3} - 226153616832 x^{2} - 3605805918720 x - 19229559127552$ $-\,2^{9}\cdot 3^{12}\cdot 1657^{7}$ $S_3\times C_3$ (as 9T4) $[6, 394134]$ $316141.10814466607$
9.3.120...587.1 $x^{9} - 147 x^{6} - 89907846 x^{3} - 117649$ $-\,3^{15}\cdot 7^{6}\cdot 19^{6}\cdot 73^{6}$ $S_3\times C_3$ (as 9T4) $[3, 9, 18, 18, 468]$ $259386.8487227381$
9.3.123...875.1 $x^{9} - 765 x^{6} - 243900 x^{3} - 16581375$ $-\,3^{15}\cdot 5^{6}\cdot 1951^{6}$ $S_3\times C_3$ (as 9T4) $[2, 2, 2, 653772]$ $305683.85541417525$
9.3.176...103.1 $x^{9} - 105868 x^{6} - 10923309 x^{5} + 701065458 x^{4} - 21202445249 x^{3} + 1723063587408 x^{2} - 68444429376636 x + 829996847988696$ $-\,3^{13}\cdot 19^{7}\cdot 199^{7}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 3, 18, 1026]$ $1712931.751527457$
9.3.199...752.1 $x^{9} - 4 x^{8} - 1265 x^{7} - 34315 x^{6} - 481373 x^{5} - 4141132 x^{4} - 22610876 x^{3} - 76459813 x^{2} - 146120363 x - 120689741$ $-\,2^{9}\cdot 19^{7}\cdot 29^{3}\cdot 151^{7}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 41274]$ $799099.1053094987$
9.3.208...888.2 $x^{9} - 3 x^{8} - 3531 x^{7} + 5504 x^{6} + 3608922 x^{5} - 8520087 x^{4} - 1188199569 x^{3} - 589727619 x^{2} + 126031741812 x + 604675550673$ $-\,2^{9}\cdot 3^{9}\cdot 13^{7}\cdot 229^{7}$ $S_3\times C_3$ (as 9T4) $[9, 18, 17514]$ $1907913.7392289056$
9.3.229...464.2 $x^{9} - 3 x^{8} - 1677 x^{7} - 53598 x^{6} - 873462 x^{5} - 8699295 x^{4} - 55041225 x^{3} - 216277977 x^{2} - 481849122 x - 465414193$ $-\,2^{9}\cdot 3^{15}\cdot 11^{3}\cdot 421^{7}$ $S_3\times C_3$ (as 9T4) $[2380434]$ $896389.2718875618$
9.3.282...008.1 $x^{9} - 6573 x^{7} - 37247 x^{6} + 27468567 x^{5} - 1092209118 x^{4} - 4817198330 x^{3} + 1975172308893 x^{2} - 35660464317639 x - 545668039805931$ $-\,2^{9}\cdot 3^{13}\cdot 7^{6}\cdot 313^{7}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 81669]$ $1336034.833528926$
9.3.316...000.1 $x^{9} - 5850 x^{6} - 14265000 x^{3} - 7414875000$ $-\,2^{6}\cdot 3^{15}\cdot 5^{6}\cdot 7^{6}\cdot 163^{6}$ $S_3\times C_3$ (as 9T4) $[3, 6, 18, 11610]$ $238745.3930304285$
9.3.347...000.2 $x^{9} + 2040 x^{7} - 2310 x^{6} + 1039500 x^{5} - 707700 x^{4} + 152907600 x^{3} + 2772000 x^{2} - 803667000 x - 132013000$ $-\,2^{6}\cdot 3^{15}\cdot 5^{6}\cdot 19^{6}\cdot 61^{6}$ $S_3\times C_3$ (as 9T4) $[6, 6, 18, 3078]$ $3819758.751659061$
9.3.404...464.1 $x^{9} - 2 x^{8} - 1846 x^{7} + 1853 x^{6} + 509545 x^{5} + 8356431 x^{4} + 67633779 x^{3} + 336454694 x^{2} + 971295101 x + 1463451053$ $-\,2^{6}\cdot 19^{3}\cdot 5119^{7}$ $S_3\times C_3$ (as 9T4) $[3298369]$ $948063.8999821324$
9.3.436...288.2 $x^{9} - 12 x^{6} - 33802656 x^{3} - 64$ $-\,2^{6}\cdot 3^{15}\cdot 13^{6}\cdot 463^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 63, 819]$ $1363619.7157026061$
9.3.476...875.1 $x^{9} - 15 x^{6} - 11543100 x^{3} - 125$ $-\,3^{15}\cdot 5^{6}\cdot 7^{6}\cdot 349^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 63, 7182]$ $776615.2094660212$
9.3.564...848.2 $x^{9} - 3 x^{8} - 5325 x^{7} - 83022 x^{6} + 9637350 x^{5} + 323501475 x^{4} - 2999023125 x^{3} - 298733761875 x^{2} - 5200565718750 x - 30378244515625$ $-\,2^{6}\cdot 3^{15}\cdot 1801^{7}$ $S_3\times C_3$ (as 9T4) $[6, 1394946]$ $264622.5089689707$
9.3.591...272.1 $x^{9} - 3783 x^{7} - 51701 x^{6} + 4846023 x^{5} + 133517202 x^{4} - 1180417056 x^{3} - 87655420125 x^{2} - 1222267178223 x - 5703368086871$ $-\,2^{6}\cdot 3^{12}\cdot 7^{3}\cdot 13^{7}\cdot 97^{7}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 3, 18, 6714]$ $223218.23241887262$
9.3.714...808.1 $x^{9} - 2401 x^{7} - 3 x^{6} + 441 x^{5} + 4802 x^{4} - 24 x^{3} - 441 x^{2} - 2401 x - 1$ $-\,2^{6}\cdot 3^{3}\cdot 23^{6}\cdot 2557^{6}$ $S_3\times C_3$ (as 9T4) $[2002644]$ $631859.9042930119$
9.3.883...288.1 $x^{9} - 12 x^{6} - 2924160 x^{3} - 64$ $-\,2^{6}\cdot 3^{15}\cdot 7^{6}\cdot 967^{6}$ $S_3\times C_3$ (as 9T4) $[3, 6, 6, 74214]$ $535440.6632609606$
9.3.113...952.1 $x^{9} - 12 x^{6} - 3048576 x^{3} - 64$ $-\,2^{6}\cdot 3^{15}\cdot 7057^{6}$ $S_3\times C_3$ (as 9T4) $[2, 6, 466830]$ $542346.987897622$
9.3.135...227.1 $x^{9} - 21 x^{6} - 85183854 x^{3} - 343$ $-\,3^{15}\cdot 7^{6}\cdot 31^{6}\cdot 67^{6}$ $S_3\times C_3$ (as 9T4) $[3, 3, 6, 6, 12834]$ $1273433.1757270237$
9.3.274...848.1 $x^{9} - 84 x^{6} - 8239840 x^{3} - 21952$ $-\,2^{6}\cdot 3^{3}\cdot 7^{6}\cdot 10513^{6}$ $S_3\times C_3$ (as 9T4) $[2, 936, 936]$ $5966687.211302489$
9.3.345...568.1 $x^{9} - 8054 x^{7} - 86135 x^{6} + 21555397 x^{5} + 463533973 x^{4} - 16652946295 x^{3} - 613128224240 x^{2} - 6510682901835 x - 24496392693493$ $-\,2^{9}\cdot 7^{6}\cdot 13^{3}\cdot 31^{7}\cdot 37^{7}$ $S_3\times C_3$ (as 9T4) $[3, 6, 6, 21642]$ $3103842.3227068773$
9.3.549...648.2 $x^{9} - x^{8} - 2519 x^{7} + 3436 x^{6} + 963642 x^{5} - 19472713 x^{4} + 188386031 x^{3} - 1079663137 x^{2} + 3548644260 x - 5719338877$ $-\,2^{9}\cdot 7^{7}\cdot 11^{3}\cdot 997^{7}$ $S_3\times C_3$ (as 9T4) $[3, 9, 312291]$ $913305.3877704057$
9.3.573...328.1 $x^{9} - 3025 x^{7} - 3 x^{6} - 495 x^{5} + 6050 x^{4} - 24 x^{3} + 495 x^{2} - 3025 x - 1$ $-\,2^{6}\cdot 3^{3}\cdot 19^{6}\cdot 29^{6}\cdot 151^{6}$ $S_3\times C_3$ (as 9T4) $[3, 9, 39069]$ $6675533.738908713$
9.3.593...000.1 $x^{9} - 2 x^{8} - 1905 x^{7} + 72153 x^{6} - 1348029 x^{5} + 15250290 x^{4} - 109361844 x^{3} + 487467741 x^{2} - 1234577043 x + 1358906711$ $-\,2^{9}\cdot 5^{3}\cdot 7^{3}\cdot 4297^{7}$ $S_3\times C_3$ (as 9T4) $[2, 4, 334684]$ $1958451.9330380037$
9.3.606...984.1 $x^{9} - x^{8} - 3934 x^{7} - 139731 x^{6} - 2019573 x^{5} - 19257097 x^{4} - 113121209 x^{3} - 421969970 x^{2} - 911815232 x - 999780629$ $-\,2^{6}\cdot 7^{3}\cdot 31^{7}\cdot 373^{7}$ $S_3\times C_3$ (as 9T4) $[3, 21, 73017]$ $1774506.6566051373$
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