| 15.3.13760231424506302464.1 |
x15 - x14 - 2x13 - 2x12 + 5x11 + 7x10 - 42x9 + 132x8 - 204x7 + 180x6 - 114x5 + 108x3 - 108x2 + 72x - 36 |
\( 2^{12}\cdot 3^{12}\cdot 43^{6} \) |
$S_5$ (as 15T10) |
$[2]$
|
| 15.3.42748173253207620961.1 |
x15 - 3x14 + 2x13 + 5x12 - 16x11 - 47x10 - 40x9 + 5x8 + 29x7 + 38x6 + 61x5 + 81x4 + 72x3 + 39x2 + 11x + 1 |
\( 7^{10}\cdot 73^{6} \) |
$\GL(2,4)$ (as 15T16) |
$[3]$
|
| 15.1.134734730815558692751.1 |
x15 - 5x14 + 9x13 - 6x12 + 7x11 - 12x10 + 17x9 - 29x8 + 2x7 - 4x6 + 21x5 - 9x4 + 53x3 + 12x2 + 25x - 1 |
\( -\,751^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.1.143108492101942920287.1 |
x15 - x14 + 3x13 - 21x12 + 23x11 + 8x10 + 39x9 - 113x8 - 64x7 + 132x6 + 251x5 + 261x4 - 646x3 + 393x2 - 110x + 13 |
\( -\,7^{10}\cdot 47^{7} \) |
$D_{15}$ (as 15T2) |
$[3]$
|
| 15.1.1031619245029040984375.1 |
x15 - x14 + 9x13 - 11x12 + 38x11 - 71x10 + 135x9 - 183x8 + 287x7 - 231x6 + 301x5 + 120x4 - 49x3 + 273x2 + 118x - 11 |
\( -\,5^{6}\cdot 19^{4}\cdot 47^{7} \) |
15T35 |
$[3]$
|
| 15.1.1766485593616332297663.1 |
x15 - 3x13 - 17x12 - 27x11 + 48x10 + 165x9 + 306x8 - 45x7 - 918x6 - 1251x5 - 633x4 + 2241x3 + 864x2 - 675x - 325 |
\( -\,3^{20}\cdot 47^{7} \) |
$D_{15}$ (as 15T2) |
$[3]$
|
| 15.1.5203865821928740234375.1 |
x15 - 5x14 + 14x13 - 18x12 + 7x11 - 12x10 - 60x9 + 94x8 + 227x7 - 457x6 - 779x5 + 111x4 + 506x3 + 183x2 - 127 |
\( -\,5^{10}\cdot 127^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.3.5833807455240507621376.1 |
x15 - 5x14 + 5x13 + 5x12 + 7x11 - 31x10 - 5x9 + 23x8 + 13x7 - 9x6 + 45x5 - 19x4 - 53x3 + 5x2 - 13x - 1 |
\( 2^{26}\cdot 31^{2}\cdot 67^{6} \) |
15T88 |
$[3]$
|
| 15.1.10960030903507135433728.1 |
x15 - 5x13 + 15x11 - 2x10 + 17x9 - 156x8 - 156x7 + 454x6 + 120x5 - 1736x4 - 668x3 - 408x2 + 32x - 8 |
\( -\,2^{10}\cdot 523^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.1.20265284932691591056384.1 |
x15 - 7x14 + 20x13 - 32x12 + 27x11 + 5x10 + 21x9 - 267x8 + 615x7 - 795x6 + 1025x5 - 1443x4 + 1530x3 - 1188x2 + 729x - 243 |
\( -\,2^{10}\cdot 571^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.1.34740892637448264404263.1 |
x15 - 4x14 + 3x13 + 8x12 + 27x11 - 92x10 + 113x9 + 8x8 + 334x7 - 96x6 + 2102x5 - 1080x4 + 2129x3 - 773x2 + 570x - 225 |
\( -\,7^{10}\cdot 103^{7} \) |
$D_{15}$ (as 15T2) |
$[3]$
|
| 15.1.66912411284534354746847.1 |
x15 - 6x14 + 16x13 - 41x12 + 67x11 - 53x10 + 156x9 - 529x8 + 588x7 + 168x6 - 271x5 - 1281x4 + 1423x3 - 254x2 + 152x - 200 |
\( -\,1823^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.1.66959890291162926105759.1 |
x15 - 19x12 + 36x11 - 39x10 + 59x9 - 126x8 + 648x7 - 556x6 + 585x5 + 93x4 + 319x3 - 297x2 + 1116x + 1071 |
\( -\,3^{20}\cdot 79^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.1.77027586128169029561344.1 |
x15 - 3x14 + 18x13 - 46x12 + 134x11 - 262x10 + 548x9 - 748x8 + 1117x7 - 883x6 + 422x5 + 1266x4 - 2232x3 + 4104x2 - 3240x + 972 |
\( -\,2^{10}\cdot 691^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.1.79925419354762223186399.1 |
x15 - 3x14 + 2x13 + 24x12 - 38x11 - 27x10 + 79x9 - 382x8 - 261x7 - 340x6 - 1146x5 - 1686x4 - 2159x3 - 130x2 - 468x - 3497 |
\( -\,7^{9}\cdot 13^{6}\cdot 17^{7} \) |
15T79 |
$[3]$
|
| 15.1.187016303975024440526939.1 |
x15 - 4x14 + 13x13 - 29x12 - 9x11 + 183x10 + 89x9 - 693x8 - 495x7 + 1185x6 + 1953x5 - 895x4 - 3026x3 - 2703x2 - 1158x - 188 |
\( -\,7^{10}\cdot 131^{7} \) |
$D_{15}$ (as 15T2) |
$[3]$
|
| 15.1.303306029403494169921875.1 |
x15 - 2x14 + 2x13 - 9x12 + 49x11 + 172x10 + 646x9 + 1173x8 + 2371x7 + 3456x6 + 4388x5 + 4043x4 + 3358x3 + 1844x2 + 864x + 256 |
\( -\,5^{10}\cdot 227^{7} \) |
$D_{15}$ (as 15T2) |
$[2]$
|
| 15.1.345408215017012205401343.1 |
x15 - 7x14 + 22x13 - 38x12 + 86x11 - 206x10 + 364x9 - 800x8 - 1462x7 + 615x6 - 6007x5 + 2169x4 - 965x3 - 13194x2 + 6050x - 19375 |
\( -\,7^{10}\cdot 11^{7}\cdot 13^{7} \) |
$D_{15}$ (as 15T2) |
$[3]$
(GRH)
|
| 15.5.7789948783671344586860223.1 |
x15 - 4x14 - 12x13 + 63x12 + 75x11 - 365x10 - 859x9 - 1340x8 - 2526x7 + 965x6 - 1651x5 + 7887x4 + 935x3 + 418x2 - 2167x - 671 |
\( -\,3^{6}\cdot 11^{12}\cdot 23^{7} \) |
$((C_5^2 : C_3):C_2):C_2$ (as 15T18) |
$[5]$
(GRH)
|
| 15.1.11931426915069004298520559.1 |
x15 + 4x - 1 |
\( -\,17\cdot 23\cdot 13252793\cdot 2302545459704993 \) |
15T104 |
$[2]$
(GRH)
|
| 15.5.15156539194683074951171875.1 |
x15 - 15x13 - 10x12 + 90x11 + 102x10 - 175x9 - 370x8 - 35x7 + 695x6 + 44x5 - 650x4 + 230x3 + 100x2 - 30x - 13 |
\( -\,5^{18}\cdot 331^{5} \) |
15T60 |
$[2]$
|
| 15.1.19007343354618214927734375.1 |
x15 - 7 |
\( -\,3^{15}\cdot 5^{9}\cdot 7^{14} \) |
$F_5 \times S_3$ (as 15T11) |
$[3]$
(GRH)
|
| 15.3.31502030531754645746417664.2 |
x15 - 9x13 - 16x12 - 72x11 - 102x10 + 86x9 - 288x8 - 327x7 + 2292x6 + 1503x5 - 4218x4 - 4176x3 - 108x2 + 2592x - 916 |
\( 2^{16}\cdot 3^{20}\cdot 13^{10} \) |
15T84 |
$[3]$
(GRH)
|
| 15.1.71360079967161218309308416.1 |
x15 + 9x - 8 |
\( -\,2^{14}\cdot 3^{5}\cdot 400474883\cdot 44756264521 \) |
15T104 |
$[2]$
(GRH)
|
| 15.1.117386800991476702805311488.1 |
x15 - 3x - 4 |
\( -\,2^{14}\cdot 3^{15}\cdot 71\cdot 859\cdot 881\cdot 9292939 \) |
15T104 |
$[2]$
(GRH)
|
| 15.1.1078834754497843750000000000.1 |
x15 - 11x10 + 2541x5 + 1331 |
\( -\,2^{10}\cdot 5^{15}\cdot 11^{13} \) |
$F_5 \times S_3$ (as 15T11) |
$[5]$
(GRH)
|
| 15.1.2828100578830827520000000000.1 |
x15 - 4x14 + 16x13 - 108x12 + 278x11 - 672x10 + 2556x9 - 3184x8 + 5212x7 - 4832x6 + 4940x5 - 2112x4 + 2728x3 + 176x2 + 704x + 176 |
\( -\,2^{23}\cdot 5^{10}\cdot 11^{13} \) |
$F_5 \times S_3$ (as 15T11) |
$[5]$
(GRH)
|
| 15.3.5448100626562500000000000000.1 |
x15 - 12x5 - 4 |
\( 2^{14}\cdot 3^{20}\cdot 5^{20} \) |
15T37 |
$[5]$
(GRH)
|
| 15.1.6030617589845994121689520487.1 |
x15 - x14 - 4x13 + 47x12 + 69x11 - 47x10 - 3181x9 + 4820x8 + 33564x7 - 55285x6 - 19022x5 + 11076x4 + 42632x3 + 10000x2 - 34528x - 21568 |
\( -\,23^{7}\cdot 191^{8} \) |
$(C_5^2 : C_3):C_2$ (as 15T14) |
$[5]$
(GRH)
|
| 15.3.8512657229003906250000000000.1 |
x15 - 15x13 + 90x11 - 3x10 - 275x9 + 30x8 + 450x7 - 105x6 - 480x5 + 150x4 + 650x3 - 75x2 - 525x + 215 |
\( 2^{10}\cdot 3^{20}\cdot 5^{22} \) |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$[5]$
(GRH)
|
| 15.7.10962798110524462576263969024.1 |
x15 - 15x13 - 6x12 + 90x11 + 72x10 - 406x9 - 324x8 + 1629x7 + 1016x6 - 3915x5 - 2694x4 + 5992x3 + 3312x2 - 6960x - 864 |
\( 2^{8}\cdot 3^{14}\cdot 11^{6}\cdot 131^{6} \) |
15T88 |
$[3]$
(GRH)
|
| 15.1.11397732593844500000000000000.1 |
x15 + 5x - 8 |
\( -\,2^{14}\cdot 5^{15}\cdot 1999\cdot 11403434311 \) |
15T104 |
$[2]$
(GRH)
|
| 15.1.18494950052095344498131861504.1 |
x15 - x14 - 4x13 - 54x12 + 77x11 + 319x10 + 1407x9 - 9201x8 + 12239x7 - 12671x6 + 86954x5 - 263536x4 + 424387x3 - 426463x2 + 359739x - 107657 |
\( -\,2^{23}\cdot 13^{5}\cdot 53^{2}\cdot 1453943^{2} \) |
15T96 |
$[3]$
(GRH)
|
| 15.7.30882301570945259777553578125.1 |
x15 - 4x14 + 11x13 - 38x12 + 139x11 - 206x10 - 2038x9 + 7767x8 - 9664x7 - 5430x6 + 20708x5 + 7092x4 - 3218x3 - 4097x2 - 3552x - 188 |
\( 5^{6}\cdot 11^{12}\cdot 229^{5} \) |
15T60 |
$[5]$
(GRH)
|
| 15.5.45574341341445246456603159296.1 |
x15 - 5x14 - 30x13 + 159x12 + 496x11 - 2579x10 - 4208x9 + 20521x8 + 13460x7 - 60845x6 + 48450x5 + 6957x4 - 403447x3 - 35034x2 - 86972x - 710752 |
\( -\,2^{8}\cdot 17^{5}\cdot 31^{8}\cdot 43^{5} \) |
15T51 |
$[2]$
(GRH)
|
| 15.1.52754935903681030534888212463.1 |
x15 + 7x - 1 |
\( -\,13\cdot 41\cdot 911\cdot 4273\cdot 82559\cdot 658303\cdot 467836781 \) |
15T104 |
$[2]$
(GRH)
|
| 15.3.60500833661891746134479882241.1 |
x15 - 18x13 - 477x11 - 4551x10 - 5103x9 + 107811x8 + 675537x7 + 1019238x6 - 6688395x5 - 45591102x4 - 144815383x3 - 281605005x2 - 315011013x - 152252029 |
\( 3^{20}\cdot 1609^{6} \) |
$\GL(2,4):C_2$ (as 15T21) |
$[3]$
(GRH)
|
| 15.3.60500833661891746134479882241.2 |
x15 - 96x13 - 13x12 + 4203x11 + 417x10 - 99113x9 + 16263x8 + 1286655x7 - 972656x6 - 8508177x5 + 9764478x4 + 23747884x3 - 26735256x2 - 22983852x - 26273539 |
\( 3^{20}\cdot 1609^{6} \) |
$\GL(2,4):C_2$ (as 15T21) |
$[3]$
(GRH)
|
| 15.3.60500833661891746134479882241.3 |
x15 - 45x13 - 18x12 + 1062x11 + 1680x10 - 13977x9 - 43227x8 + 72636x7 + 498495x6 + 400995x5 - 2115414x4 - 6229693x3 - 6780969x2 - 2825475x - 89027 |
\( 3^{20}\cdot 1609^{6} \) |
$\GL(2,4):C_2$ (as 15T22) |
$[3]$
(GRH)
|
| 15.3.122463012708006247915836261129.1 |
x15 + 29x13 - 15x12 + 365x11 + 708x10 + 1338x9 + 15525x8 - 1890x7 + 53930x6 - 173362x5 + 36562x4 - 32759x3 - 167023x2 + 651327x - 295769 |
\( 3^{5}\cdot 11^{12}\cdot 107^{7} \) |
$((C_5^2 : C_3):C_2):C_2$ (as 15T18) |
$[5]$
(GRH)
|
| 15.1.144306410896033593750000000000.1 |
x15 - 5x14 + 5x13 - 120x12 + 250x11 + 650x10 + 4235x9 - 2970x8 - 11100x7 - 38665x6 + 40325x5 + 89950x4 + 145530x3 - 162925x2 - 120050x - 84035 |
\( -\,2^{10}\cdot 3^{13}\cdot 5^{17}\cdot 41^{5} \) |
$F_5 \times S_3$ (as 15T11) |
$[3]$
(GRH)
|
| 15.1.184712205946923000000000000000.1 |
x15 - 30x10 + 183x5 + 2592 |
\( -\,2^{15}\cdot 3^{13}\cdot 5^{15}\cdot 41^{5} \) |
$F_5 \times S_3$ (as 15T11) |
$[2]$
(GRH)
|
| 15.15.213817926580534310560958234929.1 |
x15 - x14 - 76x13 + 13x12 + 2093x11 + 895x10 - 25826x9 - 21876x8 + 141938x7 + 155038x6 - 298286x5 - 335201x4 + 192098x3 + 163900x2 - 31690x - 2479 |
\( 7^{10}\cdot 31^{14} \) |
$C_{15}$ (as 15T1) |
$[3]$
(GRH)
|
| 15.15.213817926580534310560958234929.2 |
x15 - x14 - 76x13 + 13x12 + 2093x11 + 895x10 - 24958x9 - 17536x8 + 133041x7 + 91023x6 - 330836x5 - 156827x4 + 371340x3 + 38908x2 - 166230x + 43525 |
\( 7^{10}\cdot 31^{14} \) |
$C_{15}$ (as 15T1) |
$[3]$
(GRH)
|
| 15.1.223055728022691840000000000000.1 |
x15 + 100x7 - 160x6 + 64x5 + 125x3 - 300x2 + 240x - 64 |
\( -\,2^{25}\cdot 3\cdot 5^{13}\cdot 283^{5} \) |
15T102 |
$[2]$
(GRH)
|
| 15.3.236621177025197656250000000000.1 |
x15 - 637x10 + 23673x5 + 28561 |
\( 2^{10}\cdot 5^{17}\cdot 13^{13} \) |
$F_5 \times S_3$ (as 15T11) |
$[4]$
(GRH)
|
| 15.1.244234804012666471601342256287.1 |
x15 - 7x - 7 |
\( -\,7^{14}\cdot 360109842601953263 \) |
15T104 |
$[3]$
(GRH)
|
| 15.1.256963337702775562709829943296.1 |
x15 - x14 - 21x13 - 15x12 + 226x11 + 416x10 - 200x9 - 7464x8 + 4900x7 + 672x6 + 95800x5 - 190584x4 + 175952x3 - 474624x2 + 1196068x - 2131772 |
\( -\,2^{18}\cdot 3^{6}\cdot 19^{5}\cdot 23303323^{2} \) |
15T74 |
$[2, 2]$
(GRH)
|
| 15.1.302875106592253000000000000000.1 |
x15 - 117x10 + 65x5 - 28561 |
\( -\,2^{15}\cdot 5^{15}\cdot 13^{13} \) |
$F_5 \times S_3$ (as 15T11) |
$[2, 4]$
(GRH)
|
| 15.1.349744675819152744890356962463.1 |
x15 + 7x - 7 |
\( -\,7^{14}\cdot 227\cdot 431\cdot 911\cdot 5785715141 \) |
15T104 |
$[3]$
(GRH)
|
