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Results (46 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
14.0.470...136.1 $x^{14} + 174 x^{12} + 10440 x^{10} + 269352 x^{8} + 2931552 x^{6} + 12177216 x^{4} + 17589312 x^{2} + 8118144$ $-\,2^{21}\cdot 3^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 6558]$ $6020.985100147561$
14.0.282...979.1 $x^{14} - x^{13} + 219 x^{12} - 220 x^{11} + 16306 x^{10} - 16527 x^{9} + 511395 x^{8} - 656208 x^{7} + 6613602 x^{6} - 13821758 x^{5} + 40437938 x^{4} - 87114552 x^{3} + 233636092 x^{2} - 233359527 x + 232170751$ $-\,29^{13}\cdot 31^{7}$ $C_{14}$ (as 14T1) $[2, 2, 14, 2842]$ $6020.985100147561$
14.0.611...976.1 $x^{14} - 2 x^{13} + 75 x^{12} - 130 x^{11} + 3042 x^{10} - 4256 x^{9} + 81987 x^{8} - 84712 x^{7} + 1509222 x^{6} - 1077430 x^{5} + 18374426 x^{4} - 8526420 x^{3} + 133911229 x^{2} - 31573230 x + 441622847$ $-\,2^{21}\cdot 7^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[4, 4, 4, 1964]$ $6020.985100147561$
14.0.705...539.1 $x^{14} - x^{13} + 174 x^{12} + 196 x^{11} + 9615 x^{10} + 27547 x^{9} + 232859 x^{8} + 881591 x^{7} + 3316243 x^{6} + 11236797 x^{5} + 27679091 x^{4} + 65360600 x^{3} + 105212807 x^{2} + 114689596 x + 104926787$ $-\,17^{7}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[161124]$ $35991.64185055774$
14.0.880...579.1 $x^{14} - 5 x^{13} + 90 x^{12} - 349 x^{11} + 3978 x^{10} - 12603 x^{9} + 112911 x^{8} - 292523 x^{7} + 2160787 x^{6} - 4337098 x^{5} + 26827588 x^{4} - 36885700 x^{3} + 194150227 x^{2} - 137435528 x + 622257001$ $-\,29^{12}\cdot 59^{7}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 10038]$ $6020.985100147561$
14.0.309...463.1 $x^{14} - x^{13} + 217 x^{12} + 239 x^{11} + 15033 x^{10} + 42167 x^{9} + 447988 x^{8} + 1691539 x^{7} + 7469613 x^{6} + 26563459 x^{5} + 71615373 x^{4} + 183273867 x^{3} + 308477505 x^{2} + 377213368 x + 356178109$ $-\,3^{7}\cdot 7^{7}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 2, 2, 904]$ $35991.64185055774$
14.0.527...511.1 $x^{14} - 7 x^{13} + 35 x^{12} - 77 x^{11} + 616 x^{10} - 3514 x^{9} + 22610 x^{8} - 87041 x^{7} + 393736 x^{6} - 1269674 x^{5} + 4382567 x^{4} - 9954511 x^{3} + 25812486 x^{2} - 38466645 x + 67802507$ $-\,7^{24}\cdot 31^{7}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 5334]$ $35256.68973693789$
14.0.231...363.1 $x^{14} + 294 x^{12} - 665 x^{11} + 26467 x^{10} - 107492 x^{9} + 941430 x^{8} - 4272939 x^{7} + 16797641 x^{6} - 55907334 x^{5} + 117948719 x^{4} - 162190658 x^{3} + 189410389 x^{2} - 188014449 x + 196014583$ $-\,7^{25}\cdot 29^{7}$ $C_{14}$ (as 14T1) $[405332]$ $35256.68973693789$
14.0.231...416.1 $x^{14} + 301 x^{12} + 29498 x^{10} + 1165171 x^{8} + 20442114 x^{6} + 151767210 x^{4} + 359182397 x^{2} + 35412349$ $-\,2^{14}\cdot 7^{7}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 2, 2, 1964]$ $35991.64185055774$
14.0.262...279.1 $x^{14} - 7 x^{13} + 49 x^{12} - 161 x^{11} + 1246 x^{10} - 5810 x^{9} + 39270 x^{8} - 153373 x^{7} + 774270 x^{6} - 2507386 x^{5} + 9634359 x^{4} - 22503019 x^{3} + 65267748 x^{2} - 95761729 x + 191861773$ $-\,3^{7}\cdot 7^{24}\cdot 13^{7}$ $C_{14}$ (as 14T1) $[109316]$ $35256.68973693789$
14.0.313...000.1 $x^{14} + 28 x^{12} - 42 x^{11} + 1043 x^{10} + 686 x^{9} + 27041 x^{8} + 33840 x^{7} + 508025 x^{6} + 804706 x^{5} + 6352920 x^{4} + 8567650 x^{3} + 48628468 x^{2} + 47642756 x + 178610849$ $-\,2^{21}\cdot 5^{7}\cdot 7^{24}$ $C_{14}$ (as 14T1) $[283234]$ $35256.68973693789$
14.0.520...907.1 $x^{14} - 7 x^{13} + 56 x^{12} - 203 x^{11} + 1624 x^{10} - 7273 x^{9} + 50645 x^{8} - 197585 x^{7} + 1046059 x^{6} - 3388448 x^{5} + 13681430 x^{4} - 32204158 x^{3} + 98359275 x^{2} - 143330628 x + 304880351$ $-\,7^{24}\cdot 43^{7}$ $C_{14}$ (as 14T1) $[297431]$ $35256.68973693789$
14.0.571...439.1 $x^{14} + 336 x^{12} - 756 x^{11} + 34559 x^{10} - 139706 x^{9} + 1381653 x^{8} - 6345898 x^{7} + 26899726 x^{6} - 93323468 x^{5} + 204461971 x^{4} - 300869401 x^{3} + 374349388 x^{2} - 383621049 x + 400484527$ $-\,3^{7}\cdot 7^{25}\cdot 11^{7}$ $C_{14}$ (as 14T1) $[2, 190518]$ $35256.68973693789$
14.0.690...936.1 $x^{14} - 2 x^{13} + 63 x^{12} - 62 x^{11} + 2514 x^{10} - 3924 x^{9} + 80327 x^{8} - 162296 x^{7} + 1808214 x^{6} - 3652314 x^{5} + 26185174 x^{4} - 42685580 x^{3} + 216370161 x^{2} - 217576562 x + 770198807$ $-\,2^{21}\cdot 7^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 2, 8516]$ $35991.64185055774$
14.0.970...663.1 $x^{14} - 7 x^{13} + 63 x^{12} - 245 x^{11} + 2044 x^{10} - 8946 x^{9} + 64330 x^{8} - 250281 x^{7} + 1385356 x^{6} - 4484578 x^{5} + 18981767 x^{4} - 44907863 x^{3} + 144088714 x^{2} - 208592853 x + 469806631$ $-\,7^{24}\cdot 47^{7}$ $C_{14}$ (as 14T1) $[280315]$ $35256.68973693789$
14.0.171...251.1 $x^{14} - 7 x^{13} + 70 x^{12} - 287 x^{11} + 2506 x^{10} - 10829 x^{9} + 80535 x^{8} - 312301 x^{7} + 1803081 x^{6} - 5829124 x^{5} + 25808202 x^{4} - 61248166 x^{3} + 206001411 x^{2} - 296315320 x + 704858827$ $-\,3^{7}\cdot 7^{24}\cdot 17^{7}$ $C_{14}$ (as 14T1) $[513914]$ $35256.68973693789$
14.0.261...967.1 $x^{14} + 420 x^{12} - 938 x^{11} + 53977 x^{10} - 216776 x^{9} + 2635479 x^{8} - 12306090 x^{7} + 59795582 x^{6} - 220994886 x^{5} + 519273797 x^{4} - 855223397 x^{3} + 1175109670 x^{2} - 1278452721 x + 1353299719$ $-\,7^{25}\cdot 41^{7}$ $C_{14}$ (as 14T1) $[842506]$ $35256.68973693789$
14.0.428...848.1 $x^{14} + 462 x^{12} + 65219 x^{10} + 3195731 x^{8} + 55240493 x^{6} + 236744970 x^{4} + 347225956 x^{2} + 136410197$ $-\,2^{14}\cdot 7^{25}\cdot 11^{7}$ $C_{14}$ (as 14T1) $[2, 330404]$ $35256.68973693789$
14.0.102...056.1 $x^{14} + 226 x^{12} + 15368 x^{10} + 396856 x^{8} + 4805664 x^{6} + 28530240 x^{4} + 76811072 x^{2} + 72913024$ $-\,2^{21}\cdot 113^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 16472]$ $222748.97284811488$
14.0.105...875.1 $x^{14} - 5 x^{13} + 12 x^{12} + 31 x^{11} + 722 x^{10} - 4645 x^{9} + 23535 x^{8} - 41683 x^{7} + 272781 x^{6} - 1040258 x^{5} + 7172534 x^{4} - 22736110 x^{3} + 85299995 x^{2} - 143854350 x + 314845525$ $-\,5^{7}\cdot 7^{7}\cdot 71^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 4, 4, 3164]$ $315114.6966253571$
14.0.157...832.1 $x^{14} + 497 x^{12} + 76538 x^{10} + 4554011 x^{8} + 125807598 x^{6} + 1668229206 x^{4} + 9681218561 x^{2} + 16898278817$ $-\,2^{14}\cdot 7^{7}\cdot 71^{13}$ $C_{14}$ (as 14T1) $[2, 336516]$ $315114.6966253571$
14.0.286...503.1 $x^{14} - 5 x^{13} - 181 x^{12} + 565 x^{11} + 12356 x^{10} - 21350 x^{9} - 337442 x^{8} + 673209 x^{7} + 4463486 x^{6} - 11390256 x^{5} - 21789837 x^{4} + 79245585 x^{3} + 47158292 x^{2} - 355150475 x + 438678011$ $-\,7^{7}\cdot 239^{12}$ $C_{14}$ (as 14T1) $[2, 2, 26278]$ $3022802.0673343516$
14.0.599...287.1 $x^{14} - 5 x^{13} - 57 x^{12} + 293 x^{11} + 1660 x^{10} - 8670 x^{9} + 6232 x^{8} + 55497 x^{7} + 420454 x^{6} - 1838648 x^{5} + 4215293 x^{4} + 1919537 x^{3} + 29345248 x^{2} - 103498095 x + 317486137$ $-\,23^{7}\cdot 127^{12}$ $C_{14}$ (as 14T1) $[7, 50001]$ $546287.2103473756$
14.0.963...171.1 $x^{14} - x^{13} + 18 x^{12} - 426 x^{11} - 4914 x^{10} - 26794 x^{9} + 63369 x^{8} + 1847851 x^{7} + 13603571 x^{6} + 56179943 x^{5} + 159906733 x^{4} + 364486968 x^{3} + 734418581 x^{2} + 1080367394 x + 979862339$ $-\,491^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 4, 4, 1044]$ $2313806.343858355$
14.0.148...267.1 $x^{14} - x^{13} + 151 x^{12} + 840 x^{11} + 2926 x^{10} + 40327 x^{9} + 7130 x^{8} + 230853 x^{7} + 5480474 x^{6} - 21756177 x^{5} + 114730846 x^{4} - 228502327 x^{3} + 553225015 x^{2} - 423159590 x + 786888991$ $-\,3^{7}\cdot 281^{13}$ $C_{14}$ (as 14T1) $[190518]$ $12176100.831221418$
14.0.199...223.1 $x^{14} - 5 x^{13} - 217 x^{12} - 287 x^{11} + 15080 x^{10} + 103162 x^{9} + 205552 x^{8} - 156315 x^{7} - 490648 x^{6} + 2570346 x^{5} + 9043905 x^{4} + 11488539 x^{3} + 16150610 x^{2} + 29680369 x + 40539809$ $-\,7^{7}\cdot 281^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 4, 4, 812]$ $12176100.831221418$
14.0.554...411.1 $x^{14} - x^{13} + 303 x^{12} + 420 x^{11} + 32127 x^{10} + 89886 x^{9} + 1369102 x^{8} + 3680571 x^{7} + 17975510 x^{6} + 7832183 x^{5} + 118057159 x^{4} - 56932186 x^{3} + 6537290446 x^{2} - 32497939521 x + 53109997117$ $-\,7^{7}\cdot 197^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 36304]$ $1553055.199048291$
14.0.176...983.1 $x^{14} - 5 x^{13} - 265 x^{12} + 2173 x^{11} + 16962 x^{10} - 239968 x^{9} + 472092 x^{8} + 4513593 x^{7} - 24009340 x^{6} + 6620102 x^{5} + 267969411 x^{4} - 995551231 x^{3} + 1807246866 x^{2} - 1872983259 x + 1015807027$ $-\,7^{7}\cdot 337^{12}$ $C_{14}$ (as 14T1) $[7, 21371]$ $5486180.267403393$
14.0.723...663.1 $x^{14} - 5 x^{13} - 301 x^{12} + 1153 x^{11} + 38034 x^{10} - 95620 x^{9} - 2555958 x^{8} + 2867265 x^{7} + 95741900 x^{6} + 22728686 x^{5} - 1854964863 x^{4} - 2846040235 x^{3} + 13522642272 x^{2} + 43617770283 x + 47750501269$ $-\,7^{7}\cdot 379^{12}$ $C_{14}$ (as 14T1) $[568603]$ $17223236.102860697$
14.0.552...343.1 $x^{14} - 5 x^{13} - 361 x^{12} + 2405 x^{11} + 35550 x^{10} - 292460 x^{9} - 277676 x^{8} + 2875861 x^{7} + 8333314 x^{6} + 8586276 x^{5} + 41220015 x^{4} + 12518667 x^{3} + 112066550 x^{2} + 30166155 x + 105931739$ $-\,7^{7}\cdot 449^{12}$ $C_{14}$ (as 14T1) $[695611]$ $16843911.283755634$
14.0.846...667.1 $x^{14} - x^{13} + 30 x^{12} + 464 x^{11} - 800 x^{10} - 104324 x^{9} - 148079 x^{8} + 8336957 x^{7} + 66541559 x^{6} + 77463303 x^{5} - 740982278 x^{4} - 1593603637 x^{3} + 8180290855 x^{2} + 39964632396 x + 52386024151$ $-\,827^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 4, 28, 196]$ $48540426.16205039$
14.0.140...352.1 $x^{14} - 2 x^{13} - 369 x^{12} - 190 x^{11} + 42342 x^{10} + 92044 x^{9} - 1116657 x^{8} + 421904 x^{7} + 13432626 x^{6} - 45992074 x^{5} + 117562610 x^{4} - 170420040 x^{3} + 273595777 x^{2} - 231777030 x + 218200091$ $-\,2^{21}\cdot 449^{12}$ $C_{14}$ (as 14T1) $[464723]$ $16843911.283755634$
14.0.141...664.1 $x^{14} + 577 x^{12} + 129320 x^{10} + 14615952 x^{8} + 894689024 x^{6} + 29379555328 x^{4} + 476475883520 x^{2} + 2966551527424$ $-\,2^{14}\cdot 673^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 11578]$ $7246217701.2898655$
14.0.297...631.1 $x^{14} - x^{13} + 33 x^{12} - 1441 x^{11} + 10483 x^{10} - 61103 x^{9} + 1749062 x^{8} - 12988271 x^{7} + 107210133 x^{6} - 265496895 x^{5} + 869735265 x^{4} - 2748137801 x^{3} + 6431287949 x^{2} - 8581811296 x + 5270284469$ $-\,911^{13}$ $C_{14}$ (as 14T1) $[161479]$ $504165333.8519378$
14.0.474...087.1 $x^{14} - 812 x^{11} + 8729 x^{10} - 45066 x^{9} + 4942035 x^{8} - 2313968 x^{7} + 215110980 x^{6} - 1577480520 x^{5} - 434148589 x^{4} - 29451595453 x^{3} + 40865281618 x^{2} + 463999676273 x + 542414506181$ $-\,7^{25}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[4, 28, 3164]$ $93363968.92853843$
14.0.474...087.5 $x^{14} - 812 x^{11} - 25375 x^{10} + 91350 x^{9} + 5325705 x^{8} - 4215266 x^{7} - 437392326 x^{6} + 329836836 x^{5} + 19700239139 x^{4} - 19413083053 x^{3} - 423674050058 x^{2} + 251900249993 x + 3854284665359$ $-\,7^{25}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[7, 64589]$ $78882035.29112078$
14.0.474...087.6 $x^{14} - 812 x^{11} + 8729 x^{10} + 239134 x^{9} + 5865685 x^{8} + 70091666 x^{7} + 733767454 x^{6} + 5616786700 x^{5} + 39308800027 x^{4} + 200176985575 x^{3} + 941525394390 x^{2} + 2923659885741 x + 7775628764171$ $-\,7^{25}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[3, 3, 3, 21, 21, 21]$ $59811086.44175506$
14.0.491...507.1 $x^{14} - x^{13} + 379 x^{12} - 1568 x^{11} + 130751 x^{10} - 331958 x^{9} + 5781091 x^{8} + 20001422 x^{7} + 138141964 x^{6} + 286415484 x^{5} + 1028785491 x^{4} + 1766232540 x^{3} + 5058549225 x^{2} + 5892598125 x + 8303765625$ $-\,3^{7}\cdot 883^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 3934]$ $8256963011.914384$
14.0.590...863.1 $x^{14} - 5 x^{13} - 445 x^{12} + 2945 x^{11} + 69994 x^{10} - 596916 x^{9} - 4098610 x^{8} + 49722089 x^{7} + 15877984 x^{6} - 1474854294 x^{5} + 4497687381 x^{4} - 2273327679 x^{3} + 2661464504 x^{2} - 16352079137 x + 40426401257$ $-\,7^{7}\cdot 547^{12}$ $C_{14}$ (as 14T1) $[808213]$ $69192405.98699488$
14.0.646...287.1 $x^{14} - x^{13} + 35 x^{12} + 957 x^{11} - 16886 x^{10} - 96498 x^{9} + 3261324 x^{8} - 26254395 x^{7} + 106373950 x^{6} - 206239922 x^{5} + 54692142 x^{4} + 683421421 x^{3} - 65709808 x^{2} - 3237370650 x + 7873416461$ $-\,967^{13}$ $C_{14}$ (as 14T1) $[2, 2, 45298]$ $193748644.5997488$
14.0.635...387.1 $x^{14} - x^{13} + 469 x^{12} + 5554 x^{11} + 193477 x^{10} + 1405730 x^{9} + 17663997 x^{8} + 99663586 x^{7} + 1022604644 x^{6} + 4777540854 x^{5} + 24608978115 x^{4} + 42899659770 x^{3} + 93460161259 x^{2} - 58894689909 x + 202617917161$ $-\,3^{7}\cdot 1093^{12}$ $C_{14}$ (as 14T1) $[2, 2, 222082]$ $617938931.0800908$
14.0.137...523.1 $x^{14} - 609 x^{11} - 18270 x^{10} + 30856 x^{9} - 429345 x^{8} + 24872343 x^{7} + 342372898 x^{6} + 947498643 x^{5} + 14862318170 x^{4} + 68261720093 x^{3} + 234668591136 x^{2} + 7015153824 x + 28996645309$ $-\,7^{25}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[307748]$ $368248548.12946504$
14.0.535...607.3 $x^{14} - 7224 x^{11} - 20769 x^{10} - 413574 x^{9} + 16012899 x^{8} + 117159090 x^{7} + 2010254988 x^{6} + 6124265196 x^{5} + 69559163667 x^{4} + 98387288769 x^{3} + 886043817568 x^{2} + 4291822604559 x + 22085122836303$ $-\,7^{25}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[7, 15491]$ $5135341547.611097$
14.0.535...607.4 $x^{14} - 7224 x^{11} - 50267 x^{10} - 556850 x^{9} + 13779479 x^{8} + 215168302 x^{7} + 3646509048 x^{6} + 29686323660 x^{5} + 262979976931 x^{4} + 1267459647895 x^{3} + 7166415442578 x^{2} + 17279409997031 x + 62055692847703$ $-\,7^{25}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[7, 134659]$ $534504501.8334233$
14.0.535...607.5 $x^{14} - 7224 x^{11} + 301 x^{10} + 783202 x^{9} + 13716269 x^{8} - 107746304 x^{7} - 1425878538 x^{6} + 1870004640 x^{5} + 104029582531 x^{4} + 50016502081 x^{3} - 2822541592794 x^{2} - 10557595949299 x + 79626326570317$ $-\,7^{25}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[7, 7, 16177]$ $224277011.0596314$
14.0.329...443.1 $x^{14} - 5719 x^{11} + 43344 x^{10} + 780794 x^{9} + 23613149 x^{8} + 133073863 x^{7} + 1161357330 x^{6} - 1029856751 x^{5} + 8912217496 x^{4} - 87810748963 x^{3} + 610422315916 x^{2} - 431820674782 x + 1580168235629$ $-\,7^{24}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[387499]$ $5135341547.611097$
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