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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
30.275...000.144.a.a 30.275...000.144.a.b $30$ $ 2^{69} \cdot 5^{16} \cdot 71^{22} \cdot 26449^{16}$ x10 - 2x9 - 345x8 + 720x7 + 33292x6 - 77348x5 - 795480x4 + 1563624x3 + 4991153x2 - 5404190x - 10994849 $A_5 \wr C_2$ $1$ $30$