Results (displaying all 28 matches)

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
6.16711744.7t6.a.a $6$ $2^{6} \cdot 7^{2} \cdot 73^{2}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $2$
6.50808384.7t6.a.a $6$ $2^{6} \cdot 3^{8} \cdot 11^{2}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $2$
6.112021056.7t6.a.a $6$ $2^{6} \cdot 3^{6} \cdot 7^{4}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $2$
6.988410721.7t6.a.a $6$ $149^{2} \cdot 211^{2}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $6$
10.14117306610774528.70.a.a 10.14117306610774528.70.a.b $10$ $2^{9} \cdot 3^{14} \cdot 7^{8}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $0$ $-2$
10.351405582803624448.70.a.a 10.351405582803624448.70.a.b $10$ $2^{9} \cdot 3^{18} \cdot 11^{6}$ x7 - 2x6 + 2x + 2 $A_7$ $0$ $-2$
10.9115812039001375232.70.a.a 10.9115812039001375232.70.a.b $10$ $2^{9} \cdot 7^{6} \cdot 73^{6}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $0$ $-2$
10.965633540591074128803235361.70.a.a 10.965633540591074128803235361.70.a.b $10$ $149^{6} \cdot 211^{6}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $0$ $10$
14.21964383255760327839744.15t47.a.a $14$ $2^{12} \cdot 3^{18} \cdot 7^{12}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $2$
14.21964383255760327839744.21t33.a.a $14$ $2^{12} \cdot 3^{18} \cdot 7^{12}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $2$
14.247977080428199271469056.21t33.a.a $14$ $2^{12} \cdot 3^{24} \cdot 11^{8}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $2$
14.388625298846706628890624.21t33.a.a $14$ $2^{12} \cdot 7^{6} \cdot 73^{8}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $2$
14.2070984217554099625358135296.15t47.a.a $14$ $2^{12} \cdot 7^{6} \cdot 73^{10}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $2$
14.2430423365276781059668217856.15t47.a.a $14$ $2^{12} \cdot 3^{28} \cdot 11^{10}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $2$
14.954442544077406345814852730298705281.21t33.a.a $14$ $149^{8} \cdot 211^{8}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $14$
14.943381243144623486076833919663361832159717601.15t47.a.a $14$ $149^{10} \cdot 211^{10}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $14$
15.197679449301842950557696.42t294.a.a $15$ $2^{12} \cdot 3^{20} \cdot 7^{12}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $-1$
15.2231793723853793443221504.42t294.a.a $15$ $2^{12} \cdot 3^{26} \cdot 11^{8}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $-1$
15.19042639643488624815640576.42t294.a.a $15$ $2^{12} \cdot 7^{8} \cdot 73^{8}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $-1$
15.954442544077406345814852730298705281.42t294.a.a $15$ $149^{8} \cdot 211^{8}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $15$
21.1793685113483563715477940482605056.42t299.a.a $21$ $2^{18} \cdot 3^{30} \cdot 7^{16}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $1$
21.11862004710203242703974199567822205967663104.42t299.a.a $21$ $2^{18} \cdot 3^{44} \cdot 11^{16}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $1$
21.48159956283065062710236109126029614956937216.42t299.a.a $21$ $2^{18} \cdot 7^{10} \cdot 73^{16}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $1$
21.910960569944951755248535328155692865403121768144070417465759104897288961.42t299.a.a $21$ $149^{16} \cdot 211^{16}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $21$
35.354574685454344552857366707698313319755263283342109310976.70.a.a $35$ $2^{30} \cdot 3^{50} \cdot 7^{28}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $-1$
35.2941505296061748107334365673192725862524976759105923348765368909824.70.a.a $35$ $2^{30} \cdot 3^{68} \cdot 11^{24}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $-1$
35.917092692744573842474294019589138832009696605396024114765270054076416.70.a.a $35$ $2^{30} \cdot 7^{18} \cdot 73^{24}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $-1$
35.869459523932463822137531685068026633401800710814706501873560849812537388615432413560666705776366705233703041.70.a.a $35$ $149^{24} \cdot 211^{24}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $35$