## Results (displaying matches 1-50 of 462) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
2.2304.8t5.a.a $2$ $2^{8} \cdot 3^{2}$ x8 - 12x6 + 36x4 - 36x2 + 9 $Q_8$ $-1$ $2$
2.2304.8t5.b.a $2$ $2^{8} \cdot 3^{2}$ x8 + 12x6 + 36x4 + 36x2 + 9 $Q_8$ $-1$ $-2$
2.11025.8t5.b.a $2$ $3^{2} \cdot 5^{2} \cdot 7^{2}$ x8 - 3x7 + 22x6 - 60x5 + 201x4 - 450x3 + 1528x2 - 3069x + 4561 $Q_8$ $-1$ $-2$
2.11025.8t5.a.a $2$ $3^{2} \cdot 5^{2} \cdot 7^{2}$ x8 - x7 - 34x6 + 29x5 + 361x4 - 305x3 - 1090x2 + 1345x - 395 $Q_8$ $-1$ $2$
2.21025.8t5.a.a $2$ $5^{2} \cdot 29^{2}$ x8 - x7 - 47x6 + 40x5 + 581x4 - 220x3 - 2038x2 - 932x - 109 $Q_8$ $-1$ $2$
2.30976.8t5.a.a $2$ $2^{8} \cdot 11^{2}$ x8 - 44x6 + 308x4 - 484x2 + 121 $Q_8$ $-1$ $2$
2.30976.8t5.b.a $2$ $2^{8} \cdot 11^{2}$ x8 + 44x6 + 308x4 + 484x2 + 121 $Q_8$ $-1$ $-2$
2.42025.8t5.a.a $2$ $5^{2} \cdot 41^{2}$ x8 - 3x7 - 63x6 + 90x5 + 1311x4 - 20x3 - 7702x2 - 5524x - 1009 $Q_8$ $-1$ $2$
2.48841.8t5.a.a $2$ $13^{2} \cdot 17^{2}$ x8 - 3x7 - 67x6 - 16x5 + 863x4 + 1276x3 + 392x2 - 54x + 1 $Q_8$ $-1$ $2$
2.53361.8t5.a.a $2$ $3^{2} \cdot 7^{2} \cdot 11^{2}$ x8 - 3x7 - 62x6 + 66x5 + 1125x4 + 264x3 - 4982x2 - 4245x + 823 $Q_8$ $-1$ $2$
2.53361.8t5.b.a $2$ $3^{2} \cdot 7^{2} \cdot 11^{2}$ x8 - x7 + 50x6 + 71x5 + 529x4 + 2173x3 + 842x2 + 5545x + 17623 $Q_8$ $-1$ $-2$
2.57600.8t5.e.a $2$ $2^{8} \cdot 3^{2} \cdot 5^{2}$ x8 - 60x6 + 900x4 - 4500x2 + 5625 $Q_8$ $-1$ $2$
2.57600.8t5.f.a $2$ $2^{8} \cdot 3^{2} \cdot 5^{2}$ x8 + 60x6 + 900x4 + 4500x2 + 5625 $Q_8$ $-1$ $-2$
2.57600.8t5.a.a $2$ $2^{8} \cdot 3^{2} \cdot 5^{2}$ x8 - 60x6 + 810x4 - 1800x2 + 900 $Q_8$ $-1$ $2$
2.57600.8t5.b.a $2$ $2^{8} \cdot 3^{2} \cdot 5^{2}$ x8 + 60x6 + 810x4 + 1800x2 + 900 $Q_8$ $-1$ $-2$
2.57600.8t5.c.a $2$ $2^{8} \cdot 3^{2} \cdot 5^{2}$ x8 - 60x6 + 1170x4 - 9000x2 + 22500 $Q_8$ $-1$ $2$
2.57600.8t5.d.a $2$ $2^{8} \cdot 3^{2} \cdot 5^{2}$ x8 + 60x6 + 1170x4 + 9000x2 + 22500 $Q_8$ $-1$ $-2$
2.73984.8t5.b.a $2$ $2^{8} \cdot 17^{2}$ x8 + 68x6 + 986x4 + 4624x2 + 4624 $Q_8$ $-1$ $-2$
2.73984.8t5.a.a $2$ $2^{8} \cdot 17^{2}$ x8 - 68x6 + 986x4 - 4624x2 + 4624 $Q_8$ $-1$ $2$
2.92416.8t5.a.a $2$ $2^{8} \cdot 19^{2}$ x8 - 76x6 + 1748x4 - 12996x2 + 29241 $Q_8$ $-1$ $2$
2.92416.8t5.b.a $2$ $2^{8} \cdot 19^{2}$ x8 + 76x6 + 1748x4 + 12996x2 + 29241 $Q_8$ $-1$ $-2$
2.93025.8t5.a.a $2$ $5^{2} \cdot 61^{2}$ x8 - 3x7 + 57x6 + 135x5 + 306x4 + 5365x3 + 23383x2 + 40951x + 75421 $Q_8$ $-1$ $-2$
2.112896.8t5.e.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 - 84x6 + 1764x4 - 12348x2 + 21609 $Q_8$ $-1$ $2$
2.112896.8t5.f.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 + 84x6 + 1764x4 + 12348x2 + 21609 $Q_8$ $-1$ $-2$
2.112896.8t5.j.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 + 84x6 + 2394x4 + 24696x2 + 44100 $Q_8$ $-1$ $-2$
2.112896.8t5.h.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 + 84x6 + 1890x4 + 10584x2 + 1764 $Q_8$ $-1$ $-2$
2.112896.8t5.i.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 - 84x6 + 2394x4 - 24696x2 + 44100 $Q_8$ $-1$ $2$
2.112896.8t5.g.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 - 84x6 + 1890x4 - 10584x2 + 1764 $Q_8$ $-1$ $2$
2.112896.8t5.c.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 + 84x6 + 1260x4 + 5292x2 + 441 $Q_8$ $-1$ $-2$
2.112896.8t5.d.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 + 84x6 + 2268x4 + 19404x2 + 441 $Q_8$ $-1$ $-2$
2.112896.8t5.b.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 - 84x6 + 1260x4 - 5292x2 + 441 $Q_8$ $-1$ $2$
2.112896.8t5.a.a $2$ $2^{8} \cdot 3^{2} \cdot 7^{2}$ x8 - 84x6 + 2268x4 - 19404x2 + 441 $Q_8$ $-1$ $2$
2.119025.8t5.a.a $2$ $3^{2} \cdot 5^{2} \cdot 23^{2}$ x8 - x7 - 112x6 + 95x5 + 2881x4 + 835x3 - 16858x2 - 25817x - 10769 $Q_8$ $-1$ $2$
2.119025.8t5.b.a $2$ $3^{2} \cdot 5^{2} \cdot 23^{2}$ x8 - 3x7 + 64x6 - 192x5 + 1836x4 - 4635x3 + 39520x2 - 110850x + 565795 $Q_8$ $-1$ $-2$
2.127449.8t5.a.a $2$ $3^{2} \cdot 7^{2} \cdot 17^{2}$ x8 - 3x7 - 110x6 + 153x5 + 3789x4 + 1989x3 - 44000x2 - 97899x - 46703 $Q_8$ $-1$ $2$
2.127449.8t5.b.a $2$ $3^{2} \cdot 7^{2} \cdot 17^{2}$ x8 - x7 + 65x6 - 439x5 + 1876x4 - 12191x3 + 60887x2 - 124718x + 121291 $Q_8$ $-1$ $-2$
2.142129.8t5.a.a $2$ $13^{2} \cdot 29^{2}$ x8 - 3x7 + 72x6 - 592x5 + 3519x4 - 9968x3 + 23522x2 - 66393x + 114383 $Q_8$ $-1$ $-2$
2.176400.8t5.b.a $2$ $2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ x8 + 105x6 + 3780x4 + 55125x2 + 275625 $Q_8$ $-1$ $-2$
2.176400.8t5.a.a $2$ $2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ x8 - 105x6 + 3465x4 - 44100x2 + 176400 $Q_8$ $-1$ $2$
2.189225.8t5.a.a $2$ $3^{2} \cdot 5^{2} \cdot 29^{2}$ x8 - x7 + 98x6 - 105x5 + 3191x4 + 1665x3 + 44072x2 + 47933x + 328171 $Q_8$ $-1$ $-2$
2.198025.8t5.a.a $2$ $5^{2} \cdot 89^{2}$ x8 - x7 + 78x6 - 100x5 + 2541x4 - 7670x3 + 65772x2 - 36712x + 1485296 $Q_8$ $-1$ $-2$
2.233289.8t5.a.a $2$ $3^{2} \cdot 7^{2} \cdot 23^{2}$ x8 - x7 - 136x6 - 94x5 + 5029x4 + 6616x3 - 37504x2 + 14104x + 1360 $Q_8$ $-1$ $2$
2.233289.8t5.b.a $2$ $3^{2} \cdot 7^{2} \cdot 23^{2}$ x8 - 3x7 + 109x6 + 138x5 + 3801x4 + 13938x3 + 54538x2 + 67350x + 58153 $Q_8$ $-1$ $-2$
2.255025.8t5.a.a $2$ $5^{2} \cdot 101^{2}$ x8 - x7 - 164x6 + 139x5 + 6881x4 - 11125x3 - 63850x2 + 149875x - 56125 $Q_8$ $-1$ $2$
2.278784.8t5.i.a $2$ $2^{8} \cdot 3^{2} \cdot 11^{2}$ x8 - 132x6 + 4356x4 - 47916x2 + 131769 $Q_8$ $-1$ $2$
2.278784.8t5.j.a $2$ $2^{8} \cdot 3^{2} \cdot 11^{2}$ x8 + 132x6 + 4356x4 + 47916x2 + 131769 $Q_8$ $-1$ $-2$
2.278784.8t5.l.a $2$ $2^{8} \cdot 3^{2} \cdot 11^{2}$ x8 + 132x6 + 2772x4 + 13068x2 + 9801 $Q_8$ $-1$ $-2$
2.278784.8t5.k.a $2$ $2^{8} \cdot 3^{2} \cdot 11^{2}$ x8 - 132x6 + 2772x4 - 13068x2 + 9801 $Q_8$ $-1$ $2$
2.278784.8t5.d.a $2$ $2^{8} \cdot 3^{2} \cdot 11^{2}$ x8 + 132x6 + 5346x4 + 69696x2 + 278784 $Q_8$ $-1$ $-2$
2.278784.8t5.b.a $2$ $2^{8} \cdot 3^{2} \cdot 11^{2}$ x8 + 132x6 + 2970x4 + 17424x2 + 17424 $Q_8$ $-1$ $-2$
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