Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Ind. of Insep. |
Assoc. Inertia |
3.15.0.1 |
$15$ |
x15 + 2x8 + x5 + 2x2 + x + 1 |
$3$ |
$1$ |
$15$ |
$0$ |
$C_{15}$ (as 15T1) |
$15$ |
$1$ |
$[\ ]$ |
$[\ ]^{15}$ |
$[0]$ |
$[]$ |
3.15.12.1 |
$15$ |
x15 + 10x13 + 5x12 + 40x11 + 49x10 + 90x9 + 30x8 - 130x7 + 410x6 + 269x5 + 765x4 - 515x3 + 730x2 + 205x + 94 |
$3$ |
$5$ |
$3$ |
$12$ |
$F_5\times C_3$ (as 15T8) |
$12$ |
$5$ |
$[\ ]$ |
$[\ ]_{5}^{12}$ |
$[0]$ |
$[4]$ |
3.15.15.1 |
$15$ |
x15 - 48x14 + 906x13 - 7365x12 + 13968x11 + 95301x10 + 55413x9 - 59940x8 + 224694x7 + 597321x6 + 326997x5 - 91206x4 - 61803x3 + 25758x2 - 3888x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.10 |
$15$ |
x15 + 30x14 + 519x13 + 4605x12 + 25533x11 + 93573x10 + 187578x9 + 234171x8 + 220158x7 + 187947x6 + 126198x5 + 79137x4 + 34425x3 + 15066x2 + 1215x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.11 |
$15$ |
x15 - 33x14 + 378x13 - 966x12 + 7461x11 + 47682x10 + 1575x9 + 29160x8 + 30780x7 + 9423x6 + 24138x5 + 26244x4 + 6966x3 - 486x2 + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.12 |
$15$ |
x15 + 30x14 + 567x13 + 5343x12 + 26946x11 + 81891x10 + 187308x9 + 338094x8 + 444204x7 + 428112x6 + 240165x5 + 86994x4 - 10773x3 + 15309x2 - 1458x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.13 |
$15$ |
x15 - 33x14 + 393x13 - 1317x12 + 12267x11 + 29070x10 + 19206x9 + 4131x8 + 7209x7 + 104274x6 + 116964x5 + 74277x4 + 22761x3 + 6075x2 + 1215x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.14 |
$15$ |
x15 + 51x13 + 60x12 + 738x11 + 1746x10 + 3276x9 + 8019x8 + 11502x7 + 13797x6 + 20169x5 + 16200x4 + 5508x3 + 2430x2 + 1215x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.15 |
$15$ |
x15 - 24x14 + 597x13 - 4503x12 + 18945x11 - 48726x10 + 86652x9 - 73467x8 - 27135x7 + 114804x6 + 44550x5 - 8667x4 + 4293x3 + 7776x2 + 2430x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$S_3 \times C_5$ (as 15T4) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.16 |
$15$ |
x15 - 18x14 + 174x13 + 348x12 - 9234x11 + 11889x10 + 136521x9 + 196020x8 + 62451x7 - 5157x6 + 3645x5 - 32238x4 - 16605x3 + 13851x2 - 1944x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.17 |
$15$ |
x15 + 30x14 + 480x13 + 4686x12 + 27108x11 + 95319x10 + 230805x9 + 407268x8 + 447120x7 + 474282x6 + 249642x5 + 164592x4 + 18144x3 + 16038x2 - 2673x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.18 |
$15$ |
x15 - 9x14 + 159x13 - 876x12 - 3105x11 + 15786x10 + 54090x9 + 98253x8 + 92259x7 + 71307x6 + 2430x5 + 27621x4 - 51597x3 + 22599x2 - 3888x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.19 |
$15$ |
x15 - 48x14 + 1026x13 - 10398x12 + 54189x11 + 28296x10 - 183645x9 - 50301x8 + 110889x7 + 37044x6 + 20817x5 + 47385x4 + 17901x3 + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.2 |
$15$ |
x15 + 6x14 + 201x13 - 750x12 - 5202x11 + 13104x10 + 50148x9 + 206469x8 + 249966x7 + 370359x6 + 133083x5 + 169938x4 - 14418x3 + 17010x2 - 2673x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.20 |
$15$ |
x15 - 9x14 + 174x13 + 4479x12 + 39375x11 + 186093x10 + 548082x9 + 1077138x8 + 1457352x7 + 1359531x6 + 855117x5 + 350973x4 + 91287x3 + 16281x2 + 2430x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.21 |
$15$ |
x15 + 6x14 + 216x13 + 4272x12 + 32373x11 + 101574x10 + 55899x9 - 94851x8 - 2511x7 + 76572x6 + 21789x5 + 41553x4 - 7857x3 + 17496x2 - 1458x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.22 |
$15$ |
x15 + 30x14 + 375x13 + 2535x12 + 10323x11 + 28530x10 + 63729x9 + 116235x8 + 143937x7 + 149310x6 + 107001x5 + 66015x4 + 25920x3 + 8991x2 + 1215x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.23 |
$15$ |
x15 + 405x13 + 1527x12 + 5004x11 - 28107x10 + 36000x9 + 23895x8 - 37746x7 + 81351x6 + 62208x5 - 36936x4 - 10287x3 + 6804x2 - 729x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.24 |
$15$ |
x15 + 150x13 - 2235x12 + 11961x11 - 32922x10 + 45342x9 - 17577x8 - 6723x7 - 34884x6 + 193671x5 + 181197x4 + 39285x3 + 5103x2 + 486x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.25 |
$15$ |
x15 - 9x14 + 228x13 + 2040x12 + 2547x11 - 22914x10 - 63036x9 + 193752x8 - 76950x7 - 3051x6 + 77517x5 - 19116x4 - 7857x3 + 7533x2 - 1944x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.26 |
$15$ |
x15 + 6x14 + 93x13 + 843x12 + 6003x11 + 23661x10 + 33300x9 + 55404x8 + 26487x7 + 15336x6 + 10125x5 + 6885x4 - 12231x3 + 7533x2 - 1944x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.27 |
$15$ |
x15 + 15x14 + 354x13 + 3651x12 + 33201x11 + 81873x10 + 4950x9 - 129357x8 + 55242x7 + 237438x6 + 144261x5 + 113562x4 - 38475x3 + 26001x2 - 1944x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.28 |
$15$ |
x15 + 381x13 + 1383x12 + 11340x11 + 18261x10 - 15192x9 + 2916x8 + 216837x7 + 473310x6 + 423549x5 + 128871x4 + 23733x3 + 10206x2 - 2673x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.29 |
$15$ |
x15 - 24x14 + 387x13 - 975x12 + 29016x11 + 513x10 + 106173x9 + 431487x8 + 296460x7 - 2322x6 + 22437x5 + 49086x4 + 45603x3 + 6318x2 - 1458x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.3 |
$15$ |
x15 + 30x14 + 402x13 + 2184x12 + 8361x11 + 25857x10 + 61488x9 + 110484x8 + 150741x7 + 157248x6 + 125226x5 + 74520x4 + 31266x3 + 7776x2 + 486x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.30 |
$15$ |
x15 - 18x14 + 540x13 - 885x12 + 67428x11 + 364662x10 + 236880x9 + 45198x8 + 204282x7 + 233712x6 + 65367x5 + 13608x4 + 13527x3 + 2430x2 + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.31 |
$15$ |
x15 - 9x14 + 111x13 + 4596x12 + 29925x11 + 55764x10 + 33786x9 + 2916x8 - 2025x7 + 40851x6 + 21384x5 - 20331x4 - 3483x3 + 10449x2 - 2673x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.32 |
$15$ |
x15 + 30x14 + 390x13 + 4335x12 + 42192x11 + 175050x10 + 290610x9 + 398844x8 + 395442x7 + 336906x6 + 217809x5 + 112104x4 + 43173x3 + 12150x2 + 2430x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.33 |
$15$ |
x15 - 18x14 + 129x13 + 303x12 - 5427x11 + 14859x10 + 179100x9 + 421929x8 + 433917x7 + 265626x6 + 127089x5 + 1296x4 - 17334x3 + 13122x2 - 2673x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.34 |
$15$ |
x15 - 18x14 + 462x13 + 3948x12 + 46782x11 + 173079x10 + 158742x9 + 124092x8 + 152685x7 + 212733x6 + 149931x5 + 90234x4 + 37827x3 + 12150x2 + 2430x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.35 |
$15$ |
x15 + 51x13 - 975x12 + 2907x11 + 2043x10 - 9684x9 + 9315x8 + 34830x7 + 11853x6 - 13122x5 - 3969x4 + 9639x3 + 6318x2 + 1215x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.36 |
$15$ |
x15 - 33x14 + 564x13 + 645x12 - 16551x11 - 6462x10 + 60327x9 + 332586x8 + 407025x7 + 130842x6 + 202257x5 + 170505x4 - 54999x3 + 26973x2 - 3888x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.37 |
$15$ |
x15 - 9x14 + 213x13 - 741x12 - 2853x11 + 11547x10 + 55035x9 + 80352x8 + 23085x7 - 75141x6 - 83592x5 - 5427x4 + 29079x3 + 11907x2 + 486x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.38 |
$15$ |
x15 + 30x14 + 432x13 + 4335x12 + 32373x11 + 162027x10 + 501129x9 + 945432x8 + 1104921x7 + 951939x6 + 550233x5 + 242271x4 + 60669x3 + 11664x2 - 729x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.39 |
$15$ |
x15 - 18x14 + 636x13 - 1623x12 - 378x11 + 83475x10 + 197730x9 + 142074x8 + 49653x7 + 194913x6 + 392931x5 + 317520x4 + 107811x3 + 12393x2 + 486x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.4 |
$15$ |
x15 + 30x14 + 780x13 + 11355x12 + 93312x11 + 395487x10 + 1026306x9 + 1765395x8 + 2074653x7 + 1673001x6 + 913761x5 + 331128x4 + 77193x3 + 10935x2 + 486x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.40 |
$15$ |
x15 + 30x14 + 366x13 + 2409x12 + 10854x11 + 29988x10 + 58950x9 + 78894x8 + 75168x7 + 43848x6 + 9801x5 - 5184x4 - 4455x3 + 8748x2 + 486x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.41 |
$15$ |
x15 - 33x14 + 741x13 - 3054x12 - 22212x11 + 52065x10 + 398718x9 + 775089x8 + 832599x7 + 626886x6 + 184761x5 - 104409x4 - 34101x3 + 16281x2 - 2673x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.42 |
$15$ |
x15 + 174x13 + 1347x12 + 15768x11 + 10539x10 + 60840x9 + 191079x8 + 317277x7 + 343143x6 + 264141x5 + 143694x4 + 53865x3 + 13851x2 + 2430x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.43 |
$15$ |
x15 - 9x14 + 33x13 + 420x12 + 3717x11 + 8523x10 + 9486x9 + 17577x8 + 9963x7 + 17280x6 + 8505x5 + 9153x4 + 4050x3 + 2673x2 + 1215x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.44 |
$15$ |
x15 + 6x14 + 27x13 + 294x12 + 819x11 + 1080x10 + 144x9 + 1863x8 + 1296x7 + 2781x6 + 648x5 + 3402x4 - 1053x3 + 972x2 - 729x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.45 |
$15$ |
x15 + 30x14 + 537x13 + 4506x12 + 15993x11 + 25695x10 + 92187x9 + 252639x8 + 4455x7 + 407295x6 - 319707x5 + 423711x4 - 153900x3 + 34506x2 - 3888x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.46 |
$15$ |
x15 - 24x14 + 534x13 - 3027x12 - 4050x11 + 27846x10 + 80712x9 + 24867x8 + 95823x7 + 308799x6 + 148554x5 - 44388x4 - 16605x3 + 13122x2 - 2673x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.47 |
$15$ |
x15 - 33x14 + 558x13 - 4287x12 + 13527x11 + 60021x10 + 8136x9 + 9477x8 + 159408x7 + 18414x6 - 108297x5 + 58806x4 + 35397x3 + 729x2 + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.48 |
$15$ |
x15 - 24x14 + 333x13 - 2856x12 + 9477x11 + 27486x10 - 38493x9 + 24705x8 + 256527x7 + 115533x6 - 123363x5 - 63909x4 + 18144x3 + 8019x2 - 729x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.49 |
$15$ |
x15 - 18x14 + 87x13 + 663x12 + 7002x11 + 59229x10 + 24984x9 + 28998x8 + 14823x7 + 8208x6 + 729x5 - 3969x4 - 2997x3 + 972x2 + 1215x + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$S_3 \times C_5$ (as 15T4) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.5 |
$15$ |
x15 - 48x14 + 1098x13 - 12297x12 + 42660x11 + 120393x10 - 110880x9 - 19116x8 + 192699x7 + 53244x6 - 21951x5 + 6075x4 - 1053x3 - 2916x2 + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.50 |
$15$ |
x15 + 15x14 + 414x13 + 8511x12 + 79749x11 + 298971x10 + 462087x9 + 525123x8 + 543672x7 + 408591x6 + 255312x5 + 135351x4 + 37098x3 + 8505x2 + 243 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
$[1, 0]$ |
$[1]$ |
3.15.15.51 |
$15$ |
x15 + 3x + 3 |
$3$ |
$15$ |
$1$ |
$15$ |
15T52 |
$4$ |
$10$ |
$[11/10]$ |
$[11/10, 11/10, 11/10, 11/10]_{10}^{4}$ |
$[1, 0]$ |
$[1, 4]$ |
3.15.15.52 |
$15$ |
x15 + 3x2 + 6x + 3 |
$3$ |
$15$ |
$1$ |
$15$ |
15T52 |
$4$ |
$10$ |
$[11/10]$ |
$[11/10, 11/10, 11/10, 11/10]_{10}^{4}$ |
$[1, 0]$ |
$[1, 4]$ |