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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$4$ $ 2^{10} \cdot 5^{3} \cdot 13^{3} \cdot 259517^{3}$ 8.0.1147585105437655040.1 $C_2 \wr S_4$ $1$ $0$
$5$ $ 2^{4} \cdot 516469^{4}$ 6.6.8263504.1 $S_6$ $1$ $5$
$5$ $ 2^{4} \cdot 47^{4} \cdot 11299^{4}$ 6.6.8496848.1 $S_6$ $1$ $5$
$5$ $ 2^{4} \cdot 17^{4} \cdot 113^{4} \cdot 277^{4}$ 6.6.8513872.1 $S_6$ $1$ $5$
$5$ $ 1134389^{4}$ 6.6.1134389.1 $S_6$ $1$ $5$
$5$ $ 2^{4} \cdot 151^{4} \cdot 3919^{4}$ 6.6.9468304.1 $S_6$ $1$ $5$
$5$ $ 79^{4} \cdot 15227^{4}$ 6.6.1202933.1 $S_6$ $1$ $5$
$5$ $ 3^{2} \cdot 19^{4} \cdot 83^{4} \cdot 557^{4}$ 6.6.7905501.1 $S_6$ $1$ $5$
$5$ $ 1541581^{4}$ 6.6.1541581.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 1189637^{4}$ 6.6.4758548.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 1257749^{4}$ 6.6.5030996.1 $S_6$ $1$ $5$
$5$ $ 107^{4} \cdot 17467^{4}$ 6.6.1868969.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 1435141^{4}$ 6.6.5740564.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 1531813^{4}$ 6.6.6127252.1 $S_6$ $1$ $5$
$5$ $ 349^{4} \cdot 6553^{4}$ 6.6.2286997.1 $S_6$ $1$ $5$
$5$ $ 2323397^{4}$ 6.6.2323397.1 $S_6$ $1$ $5$
$5$ $ 5^{4} \cdot 263^{4} \cdot 1871^{4}$ 6.6.2460365.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 241^{4} \cdot 7229^{4}$ 6.6.6968756.1 $S_6$ $1$ $5$
$5$ $ 199^{4} \cdot 12539^{4}$ 6.6.2495261.1 $S_6$ $1$ $5$
$5$ $ 769^{4} \cdot 3253^{4}$ 6.6.2501557.1 $S_6$ $1$ $5$
$5$ $ 3^{4} \cdot 855143^{4}$ 6.6.2565429.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 23^{4} \cdot 79811^{4}$ 6.6.7342612.1 $S_6$ $1$ $5$
$5$ $ 41^{4} \cdot 64921^{4}$ 6.6.2661761.1 $S_6$ $1$ $5$
$5$ $ 643^{4} \cdot 4327^{4}$ 6.6.2782261.1 $S_6$ $1$ $5$
$5$ $ 23^{4} \cdot 122299^{4}$ 6.6.2812877.1 $S_6$ $1$ $5$
$5$ $ 7^{4} \cdot 101^{4} \cdot 4027^{4}$ 6.6.2847089.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 2152949^{4}$ 6.6.8611796.1 $S_6$ $1$ $5$
$5$ $ 2^{8} \cdot 768203^{4}$ 6.6.3072812.1 $S_6$ $1$ $5$
$5$ $ 383^{4} \cdot 8059^{4}$ 6.6.3086597.1 $S_6$ $1$ $5$
$5$ $ 3151861^{4}$ 6.6.3151861.1 $S_6$ $1$ $5$
$5$ $ 3184733^{4}$ 6.6.3184733.1 $S_6$ $1$ $5$
$5$ $ 2^{2} \cdot 197^{4} \cdot 11497^{4}$ 6.6.9059636.1 $S_6$ $1$ $5$
$5$ $ 101^{4} \cdot 32869^{4}$ 6.6.3319769.1 $S_6$ $1$ $5$
$5$ $ 59^{4} \cdot 73^{4} \cdot 787^{4}$ 6.6.3389609.1 $S_6$ $1$ $5$
$5$ $ 17^{4} \cdot 205081^{4}$ 6.6.3486377.1 $S_6$ $1$ $5$
$5$ $ 997^{4} \cdot 3709^{4}$ 6.6.3697873.1 $S_6$ $1$ $5$
$5$ $ 1913^{4} \cdot 1949^{4}$ 6.6.3728437.1 $S_6$ $1$ $5$
$5$ $ 3928381^{4}$ 6.6.3928381.1 $S_6$ $1$ $5$
$5$ $ 2^{12} \cdot 510817^{4}$ 6.6.4086536.1 $S_6$ $1$ $5$
$5$ $ 139^{4} \cdot 29683^{4}$ 6.6.4125937.1 $S_6$ $1$ $5$
$5$ $ 1193^{4} \cdot 3541^{4}$ 6.6.4224413.1 $S_6$ $1$ $5$
$5$ $ 19^{4} \cdot 61^{4} \cdot 3671^{4}$ 6.6.4254689.1 $S_6$ $1$ $5$
$5$ $ 7^{4} \cdot 610667^{4}$ 6.6.4274669.1 $S_6$ $1$ $5$
$5$ $ 2^{8} \cdot 79^{4} \cdot 13633^{4}$ 6.6.4308028.1 $S_6$ $1$ $5$
$5$ $ 7^{4} \cdot 409^{4} \cdot 1531^{4}$ 6.6.4383253.1 $S_6$ $1$ $5$
$5$ $ 7^{4} \cdot 631171^{4}$ 6.6.4418197.1 $S_6$ $1$ $5$
$5$ $ 3^{4} \cdot 97^{4} \cdot 15271^{4}$ 6.6.4443861.1 $S_6$ $1$ $5$
$5$ $ 47^{4} \cdot 94651^{4}$ 6.6.4448597.1 $S_6$ $1$ $5$
$5$ $ 3^{4} \cdot 947^{4} \cdot 1597^{4}$ 6.6.4537077.1 $S_6$ $1$ $5$
$5$ $ 3^{6} \cdot 13^{2} \cdot 23^{2} \cdot 127^{2} \cdot 367^{2} \cdot 55589^{2}$ 11.3.21268256402455228458687107078186965813800645426829449.2 $\PSL(2,11)$ $0$ $1$
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