Learn more about

Refine search

Results ( displaying matches 1-50 of at least 1000) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
1.10001.2t1.a.a $1$ $ 73 \cdot 137 $ x2 - x - 2500 $C_2$ $1$ $1$
1.10001.4t1.a.a 1.10001.4t1.a.b $1$ $ 73 \cdot 137 $ x4 - x3 - 3750x2 - 79383x - 249439 $C_4$ $0$ $1$
1.10003.2t1.a.a $1$ $ 7 \cdot 1429 $ x2 - x + 2501 $C_2$ $1$ $-1$
1.10003.3t1.a.a 1.10003.3t1.a.b $1$ $ 7 \cdot 1429 $ x3 - x2 - 3334x - 10744 $C_3$ $0$ $1$
1.10003.3t1.b.a 1.10003.3t1.b.b $1$ $ 7 \cdot 1429 $ x3 - x2 - 3334x + 39271 $C_3$ $0$ $1$
1.10004.2t1.a.a $1$ $ 2^{2} \cdot 41 \cdot 61 $ x2 + 2501 $C_2$ $1$ $-1$
1.10005.2t1.a.a $1$ $ 3 \cdot 5 \cdot 23 \cdot 29 $ x2 - x - 2501 $C_2$ $1$ $1$
1.10005.4t1.a.a 1.10005.4t1.a.b $1$ $ 3 \cdot 5 \cdot 23 \cdot 29 $ x4 - x3 + 2501x2 - 2501x + 1252501 $C_4$ $0$ $-1$
1.10007.2t1.a.a $1$ $ 10007 $ x2 - x + 2502 $C_2$ $1$ $-1$
1.10009.3t1.a.a 1.10009.3t1.a.b $1$ $ 10009 $ x3 - x2 - 3336x - 66356 $C_3$ $0$ $1$
1.10011.2t1.a.a $1$ $ 3 \cdot 47 \cdot 71 $ x2 - x + 2503 $C_2$ $1$ $-1$
1.10012.2t1.a.a $1$ $ 2^{2} \cdot 2503 $ x2 - 2503 $C_2$ $1$ $1$
1.10013.2t1.a.a $1$ $ 17 \cdot 19 \cdot 31 $ x2 - x - 2503 $C_2$ $1$ $1$
1.10015.2t1.a.a $1$ $ 5 \cdot 2003 $ x2 - x + 2504 $C_2$ $1$ $-1$
1.10019.2t1.a.a $1$ $ 43 \cdot 233 $ x2 - x + 2505 $C_2$ $1$ $-1$
1.10020.2t1.a.a $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 167 $ x2 + 2505 $C_2$ $1$ $-1$
1.10023.2t1.a.a $1$ $ 3 \cdot 13 \cdot 257 $ x2 - x + 2506 $C_2$ $1$ $-1$
1.10024.2t1.a.a $1$ $ 2^{3} \cdot 7 \cdot 179 $ x2 - 2506 $C_2$ $1$ $1$
1.10024.2t1.b.a $1$ $ 2^{3} \cdot 7 \cdot 179 $ x2 + 2506 $C_2$ $1$ $-1$
1.10027.2t1.a.a $1$ $ 37 \cdot 271 $ x2 - x + 2507 $C_2$ $1$ $-1$
1.10027.3t1.b.a 1.10027.3t1.b.b $1$ $ 37 \cdot 271 $ x3 - x2 - 3342x - 43079 $C_3$ $0$ $1$
1.10027.3t1.a.a 1.10027.3t1.a.b $1$ $ 37 \cdot 271 $ x3 - x2 - 3342x - 73160 $C_3$ $0$ $1$
1.10028.2t1.a.a $1$ $ 2^{2} \cdot 23 \cdot 109 $ x2 - 2507 $C_2$ $1$ $1$
1.10029.2t1.a.a $1$ $ 3 \cdot 3343 $ x2 - x - 2507 $C_2$ $1$ $1$
1.10031.2t1.a.a $1$ $ 7 \cdot 1433 $ x2 - x + 2508 $C_2$ $1$ $-1$
1.10033.3t1.b.a 1.10033.3t1.b.b $1$ $ 79 \cdot 127 $ x3 - x2 - 3344x - 52023 $C_3$ $0$ $1$
1.10033.3t1.a.a 1.10033.3t1.a.b $1$ $ 79 \cdot 127 $ x3 - x2 - 3344x - 72089 $C_3$ $0$ $1$
1.10036.2t1.a.a $1$ $ 2^{2} \cdot 13 \cdot 193 $ x2 + 2509 $C_2$ $1$ $-1$
1.10037.2t1.a.a $1$ $ 10037 $ x2 - x - 2509 $C_2$ $1$ $1$
1.10039.2t1.a.a $1$ $ 10039 $ x2 - x + 2510 $C_2$ $1$ $-1$
1.10039.3t1.a.a 1.10039.3t1.a.b $1$ $ 10039 $ x3 - x2 - 3346x + 56144 $C_3$ $0$ $1$
1.10040.2t1.a.a $1$ $ 2^{3} \cdot 5 \cdot 251 $ x2 - 2510 $C_2$ $1$ $1$
1.10040.2t1.b.a $1$ $ 2^{3} \cdot 5 \cdot 251 $ x2 + 2510 $C_2$ $1$ $-1$
1.10040.4t1.a.a 1.10040.4t1.a.b $1$ $ 2^{3} \cdot 5 \cdot 251 $ x4 + 2510x2 + 1260020 $C_4$ $0$ $-1$
1.10041.2t1.a.a $1$ $ 3 \cdot 3347 $ x2 - x - 2510 $C_2$ $1$ $1$
1.10047.2t1.a.a $1$ $ 3 \cdot 17 \cdot 197 $ x2 - x + 2512 $C_2$ $1$ $-1$
1.10052.2t1.a.a $1$ $ 2^{2} \cdot 7 \cdot 359 $ x2 + 2513 $C_2$ $1$ $-1$
1.10053.3t1.b.a 1.10053.3t1.b.b $1$ $ 3^{2} \cdot 1117 $ x3 - 3351x - 21223 $C_3$ $0$ $1$
1.10053.3t1.a.a 1.10053.3t1.a.b $1$ $ 3^{2} \cdot 1117 $ x3 - 3351x - 51382 $C_3$ $0$ $1$
1.10053.6t1.a.a 1.10053.6t1.a.b $1$ $ 3^{2} \cdot 1117 $ x6 - 3x5 - 840x4 + 1683x3 + 232689x2 - 235200x - 21251431 $C_6$ $0$ $1$
1.10055.2t1.a.a $1$ $ 5 \cdot 2011 $ x2 - x + 2514 $C_2$ $1$ $-1$
1.10056.2t1.b.a $1$ $ 2^{3} \cdot 3 \cdot 419 $ x2 + 2514 $C_2$ $1$ $-1$
1.10056.2t1.a.a $1$ $ 2^{3} \cdot 3 \cdot 419 $ x2 - 2514 $C_2$ $1$ $1$
1.10057.2t1.a.a $1$ $ 89 \cdot 113 $ x2 - x - 2514 $C_2$ $1$ $1$
1.10059.2t1.a.a $1$ $ 3 \cdot 7 \cdot 479 $ x2 - x + 2515 $C_2$ $1$ $-1$
1.10060.2t1.a.a $1$ $ 2^{2} \cdot 5 \cdot 503 $ x2 - 2515 $C_2$ $1$ $1$
1.10061.2t1.a.a $1$ $ 10061 $ x2 - x - 2515 $C_2$ $1$ $1$
1.10063.2t1.a.a $1$ $ 29 \cdot 347 $ x2 - x + 2516 $C_2$ $1$ $-1$
1.10064.4t1.a.a 1.10064.4t1.a.b $1$ $ 2^{4} \cdot 17 \cdot 37 $ x4 + 2516x2 + 791282 $C_4$ $0$ $-1$
1.10067.2t1.a.a $1$ $ 10067 $ x2 - x + 2517 $C_2$ $1$ $-1$
Next