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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
250.2.1a $1$ R \(\Q\) 250.2.1a $C_{250}$ $C_1$ $1$ 1.a1.a1 $250$ 1.a1.a1
250.2.1b $1$ R \(\Q\) 250.2.1b $C_{250}$ $C_2$ $2$ 2.a1.a1 $125$ 1.a1.a1
250.2.1c1 $1$ C \(\Q(\zeta_{5})\) 250.2.1c $C_{250}$ $C_5$ $5$ 5.a1.a1 $50$ 1.a1.a1
250.2.1c2 $1$ C \(\Q(\zeta_{5})\) 250.2.1c $C_{250}$ $C_5$ $5$ 5.a1.a1 $50$ 1.a1.a1
250.2.1c3 $1$ C \(\Q(\zeta_{5})\) 250.2.1c $C_{250}$ $C_5$ $5$ 5.a1.a1 $50$ 1.a1.a1
250.2.1c4 $1$ C \(\Q(\zeta_{5})\) 250.2.1c $C_{250}$ $C_5$ $5$ 5.a1.a1 $50$ 1.a1.a1
250.2.1d1 $1$ C \(\Q(\zeta_{5})\) 250.2.1d $C_{250}$ $C_{10}$ $10$ 10.a1.a1 $25$ 1.a1.a1
250.2.1d2 $1$ C \(\Q(\zeta_{5})\) 250.2.1d $C_{250}$ $C_{10}$ $10$ 10.a1.a1 $25$ 1.a1.a1
250.2.1d3 $1$ C \(\Q(\zeta_{5})\) 250.2.1d $C_{250}$ $C_{10}$ $10$ 10.a1.a1 $25$ 1.a1.a1
250.2.1d4 $1$ C \(\Q(\zeta_{5})\) 250.2.1d $C_{250}$ $C_{10}$ $10$ 10.a1.a1 $25$ 1.a1.a1
250.2.1e1 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e10 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e11 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e12 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e13 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e14 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e15 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e16 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e17 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e18 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e19 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e2 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e20 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e3 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e4 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e5 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e6 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e7 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e8 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1e9 $1$ C \(\Q(\zeta_{25})\) 250.2.1e $C_{250}$ $C_{25}$ $25$ 25.a1.a1 $10$ 1.a1.a1
250.2.1f1 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f10 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f11 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f12 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f13 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f14 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f15 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f16 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f17 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f18 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f19 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f2 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f20 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f3 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f4 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f5 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f6 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f7 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f8 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
250.2.1f9 $1$ C \(\Q(\zeta_{25})\) 250.2.1f $C_{250}$ $C_{50}$ $50$ 50.a1.a1 $5$ 1.a1.a1
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