Learn more about

Refine search


Results (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 $\chi(c)$
15.197...696.42t294.a.a $15$ $ 2^{12} \cdot 3^{20} \cdot 7^{12}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $-1$
15.621...512.42t412.a.a $15$ $ 2^{41} \cdot 3^{24}$ x7 - 3x5 - x4 + 3x3 + 6x2 - x - 9 $S_7$ $1$ $-3$
15.223...504.42t294.a.a $15$ $ 2^{12} \cdot 3^{26} \cdot 11^{8}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $-1$
15.353...416.42t412.a.a $15$ $ 2^{34} \cdot 3^{30}$ x7 - 3x5 - 2x4 + 3x3 + 12x2 + 19x + 6 $S_7$ $1$ $-3$
15.496...096.42t411.a.a $15$ $ 2^{44} \cdot 3^{24}$ x7 - 3x5 - x4 + 3x3 + 6x2 - x - 9 $S_7$ $1$ $3$
15.530...624.42t412.a.a $15$ $ 2^{33} \cdot 3^{31}$ x7 - x6 + 3x5 - 5x4 + 2x3 - 12x2 + x - 7 $S_7$ $1$ $-3$
15.745...144.42t412.a.a $15$ $ 2^{43} \cdot 3^{25}$ x7 - 2x6 + 6x5 - 10x4 + 14x3 - 12x2 + 4x + 4 $S_7$ $1$ $-3$
15.141...664.42t411.a.a $15$ $ 2^{36} \cdot 3^{30}$ x7 - x6 + 3x5 - 5x4 + 2x3 - 12x2 + x - 7 $S_7$ $1$ $3$
15.190...576.42t294.a.a $15$ $ 2^{12} \cdot 7^{8} \cdot 73^{8}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $-1$
15.198...384.42t411.a.a $15$ $ 2^{46} \cdot 3^{24}$ x7 - 2x6 + 6x5 - 10x4 + 14x3 - 12x2 + 4x + 4 $S_7$ $1$ $3$
15.382...079.42t412.a.a $15$ $ 13^{8} \cdot 17^{5} \cdot 127^{5}$ x7 - x6 + 2x4 + 2x + 1 $S_7$ $1$ $-3$
15.469...623.42t412.a.a $15$ $ 7^{5} \cdot 29^{8} \cdot 89^{5}$ x7 - 2x6 + 2x5 - x4 - x3 + 3x2 - 2x + 1 $S_7$ $1$ $-3$
15.565...656.42t411.a.a $15$ $ 2^{38} \cdot 3^{30}$ x7 - 3x5 - 2x4 + 3x3 + 12x2 + 19x + 6 $S_7$ $1$ $3$
15.848...984.42t412.a.a $15$ $ 2^{37} \cdot 3^{31}$ x7 - x6 - x4 - 2x3 + 4x + 2 $S_7$ $1$ $-3$
15.114...431.42t412.a.a $15$ $ 11^{8} \cdot 3511^{5}$ x7 - x6 - x4 + 2x3 - x2 + 2x - 1 $S_7$ $1$ $-3$
15.133...504.240.a.a 15.133...504.240.a.b 15.133...504.240.a.c 15.133...504.240.a.d 15.133...504.240.a.e 15.133...504.240.a.f 15.133...504.240.a.g 15.133...504.240.a.h $15$ $ 2^{30} \cdot 137^{8}$ x17 - 3x16 - 4x14 + 12x13 + 24x12 + 12x11 - 28x10 - 90x9 - 74x8 + 116x6 + 132x5 + 72x4 + 28x3 + 12x2 + 5x + 1 $\PSL(2,16)$ $1$ $-1$
15.136...375.42t412.a.a $15$ $ 5^{8} \cdot 37^{5} \cdot 347^{5}$ x7 - x6 + x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $-3$
15.214...807.42t412.a.a $15$ $ 184607^{5}$ x7 - x6 - x5 + x4 - x2 + x + 1 $S_7$ $1$ $-3$
15.226...624.42t411.a.a $15$ $ 2^{40} \cdot 3^{30}$ x7 - 2x6 + 27x3 - 54x2 + 42x - 12 $S_7$ $1$ $3$
15.226...624.42t412.a.a $15$ $ 2^{40} \cdot 3^{30}$ x7 - 2x6 + 3x5 + x4 - 5x3 + 12x2 - 7x + 5 $S_7$ $1$ $-3$
15.270...407.42t412.a.a $15$ $ 193327^{5}$ x7 - x6 + 2x4 - 2x3 + 2x - 1 $S_7$ $1$ $-3$
15.272...807.42t412.a.a $15$ $ 193607^{5}$ x7 - x4 - x3 + x2 + 1 $S_7$ $1$ $-3$
15.290...407.42t412.a.a $15$ $ 29^{5} \cdot 6763^{5}$ x7 - 2x6 + 2x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $-3$
15.316...799.42t412.a.a $15$ $ 199559^{5}$ x7 - x6 + x3 - x + 1 $S_7$ $1$ $-3$
15.331...551.42t412.a.a $15$ $ 7^{8} \cdot 8951^{5}$ x7 - 2x6 + 2x5 - 2x4 + x3 + 1 $S_7$ $1$ $-3$
15.333...351.42t412.a.a $15$ $ 17^{5} \cdot 11863^{5}$ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $-3$
15.340...351.42t412.a.a $15$ $ 202471^{5}$ x7 - x6 - x5 + 2x4 - x2 + 1 $S_7$ $1$ $-3$
15.388...551.42t412.a.a $15$ $ 11^{5} \cdot 41^{5} \cdot 461^{5}$ x7 - x5 - x4 - x3 + x2 + x + 1 $S_7$ $1$ $-3$
15.426...151.42t412.a.a $15$ $ 19^{5} \cdot 11149^{5}$ x7 - x6 + 2x5 - x4 + x2 - 2x + 1 $S_7$ $1$ $-3$
15.455...807.42t412.a.a $15$ $ 214607^{5}$ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 - 1 $S_7$ $1$ $-3$
15.572...007.42t412.a.a $15$ $ 277^{5} \cdot 811^{5}$ x7 - 2x5 - x4 + 2x3 + 2x2 - 1 $S_7$ $1$ $-3$
15.606...207.42t412.a.a $15$ $ 167^{5} \cdot 1361^{5}$ x7 - 2x6 + 3x5 - 3x4 + 3x3 - 2x2 + 2x - 1 $S_7$ $1$ $-3$
15.686...288.42t412.a.a $15$ $ 2^{24} \cdot 8363^{5}$ x7 - x6 + 3x5 - 4x4 + 3x3 - 4x2 + 2x - 1 $S_7$ $1$ $-3$
15.759...751.42t412.a.a $15$ $ 23^{5} \cdot 10337^{5}$ x7 - x6 + x5 - x4 + x3 + x2 - 2x + 1 $S_7$ $1$ $-3$
15.791...447.42t412.a.a $15$ $ 3^{16} \cdot 7127^{5}$ x7 - 2x6 + x5 + x2 - x - 1 $S_7$ $1$ $-3$
15.832...507.42t412.a.a $15$ $ 242147^{5}$ x7 - 2x6 + 2x5 - x4 - x3 + 2x2 - x + 1 $S_7$ $1$ $-3$
15.836...847.42t412.a.a $15$ $ 3^{16} \cdot 7207^{5}$ x7 - x6 - x4 + x + 1 $S_7$ $1$ $-3$
15.846...851.42t412.a.a $15$ $ 242971^{5}$ x7 - x6 - x5 + 2x4 - 2x2 + x + 1 $S_7$ $1$ $-3$
15.861...144.240.a.a 15.861...144.240.a.b 15.861...144.240.a.c 15.861...144.240.a.d 15.861...144.240.a.e 15.861...144.240.a.f 15.861...144.240.a.g 15.861...144.240.a.h $15$ $ 2^{30} \cdot 173^{8}$ x17 - x16 - 4x15 + 2x14 + 54x13 - 6x12 - 36x11 + 16x10 + 714x9 + 1238x8 + 484x7 - 764x6 - 1084x5 + 520x4 + 668x3 - 776x2 + 382x - 74 $\PSL(2,16)$ $1$ $-1$
15.904...343.42t412.a.a $15$ $ 7^{8} \cdot 31^{5} \cdot 353^{5}$ x7 - x6 + 2x5 + x4 + 2x2 + x + 1 $S_7$ $1$ $-3$
15.905...496.42t412.a.a $15$ $ 2^{42} \cdot 3^{30}$ x7 - 3x6 + 3x5 + x4 - 3x3 - 3x2 - 5x - 3 $S_7$ $1$ $-3$
15.905...496.42t411.a.a $15$ $ 2^{42} \cdot 3^{30}$ x7 - 2x6 + 3x5 - 4x4 + 5x3 - 6x2 + 7x - 8 $S_7$ $1$ $3$
15.983...607.42t412.a.a $15$ $ 13^{5} \cdot 19259^{5}$ x7 - 2x6 + 4x5 - 4x4 + 3x3 - x2 - x + 1 $S_7$ $1$ $-3$
15.101...351.42t412.a.a $15$ $ 83^{5} \cdot 3037^{5}$ x7 - x6 + 2x4 - x3 - 2x2 + x + 1 $S_7$ $1$ $-3$
15.123...351.42t412.a.a $15$ $ 307^{5} \cdot 853^{5}$ x7 - x6 - x5 + 2x4 - x3 - x2 + x - 1 $S_7$ $1$ $-3$
15.136...507.42t412.a.a $15$ $ 101^{5} \cdot 2647^{5}$ x7 - x4 - 2x3 + x2 + x - 1 $S_7$ $1$ $-3$
15.145...807.42t412.a.a $15$ $ 461^{5} \cdot 587^{5}$ x7 - x6 + x5 - 3x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $-3$
15.150...351.42t412.a.a $15$ $ 7^{5} \cdot 38953^{5}$ x7 - 2x6 + 3x5 - 4x4 + 4x3 - 3x2 + x - 1 $S_7$ $1$ $-3$
15.182...343.42t412.a.a $15$ $ 61^{5} \cdot 4643^{5}$ x7 + x3 - 2x - 1 $S_7$ $1$ $-3$
15.193...551.42t412.a.a $15$ $ 286711^{5}$ x7 - x5 - 2x4 + x3 + 2x2 - x - 1 $S_7$ $1$ $-3$
Next