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Conrey label Orbit label Modulus Conductor Order Parity Primitive
\(\chi_{ 1 }(1, \cdot)\) 1.a $1$ $1$ $1$ even
\(\chi_{ 2 }(1, \cdot)\) 2.a $2$ $1$ $1$ even
\(\chi_{ 3 }(1, \cdot)\) 3.a $3$ $1$ $1$ even
\(\chi_{ 3 }(2, \cdot)\) 3.b $3$ $3$ $2$ odd
\(\chi_{ 4 }(1, \cdot)\) 4.a $4$ $1$ $1$ even
\(\chi_{ 4 }(3, \cdot)\) 4.b $4$ $4$ $2$ odd
\(\chi_{ 5 }(1, \cdot)\) 5.a $5$ $1$ $1$ even
\(\chi_{ 5 }(4, \cdot)\) 5.b $5$ $5$ $2$ even
\(\chi_{ 5 }(2, \cdot)\)\(\chi_{ 5 }(3, \cdot)\) 5.c $5$ $5$ $4$ odd
\(\chi_{ 6 }(1, \cdot)\) 6.a $6$ $1$ $1$ even
\(\chi_{ 6 }(5, \cdot)\) 6.b $6$ $3$ $2$ odd
\(\chi_{ 7 }(1, \cdot)\) 7.a $7$ $1$ $1$ even
\(\chi_{ 7 }(6, \cdot)\) 7.b $7$ $7$ $2$ odd
\(\chi_{ 7 }(2, \cdot)\)\(\chi_{ 7 }(4, \cdot)\) 7.c $7$ $7$ $3$ even
\(\chi_{ 7 }(3, \cdot)\)\(\chi_{ 7 }(5, \cdot)\) 7.d $7$ $7$ $6$ odd
\(\chi_{ 8 }(1, \cdot)\) 8.a $8$ $1$ $1$ even
\(\chi_{ 8 }(5, \cdot)\) 8.b $8$ $8$ $2$ even
\(\chi_{ 8 }(7, \cdot)\) 8.c $8$ $4$ $2$ odd
\(\chi_{ 8 }(3, \cdot)\) 8.d $8$ $8$ $2$ odd
\(\chi_{ 9 }(1, \cdot)\) 9.a $9$ $1$ $1$ even
\(\chi_{ 9 }(8, \cdot)\) 9.b $9$ $3$ $2$ odd
\(\chi_{ 9 }(4, \cdot)\)\(\chi_{ 9 }(7, \cdot)\) 9.c $9$ $9$ $3$ even
\(\chi_{ 9 }(2, \cdot)\)\(\chi_{ 9 }(5, \cdot)\) 9.d $9$ $9$ $6$ odd
\(\chi_{ 10 }(1, \cdot)\) 10.a $10$ $1$ $1$ even
\(\chi_{ 10 }(9, \cdot)\) 10.b $10$ $5$ $2$ even
\(\chi_{ 10 }(3, \cdot)\)\(\chi_{ 10 }(7, \cdot)\) 10.c $10$ $5$ $4$ odd
\(\chi_{ 11 }(1, \cdot)\) 11.a $11$ $1$ $1$ even
\(\chi_{ 12 }(1, \cdot)\) 12.a $12$ $1$ $1$ even
\(\chi_{ 12 }(5, \cdot)\) 12.c $12$ $3$ $2$ odd
\(\chi_{ 12 }(7, \cdot)\) 12.d $12$ $4$ $2$ odd
\(\chi_{ 13 }(1, \cdot)\) 13.a $13$ $1$ $1$ even
\(\chi_{ 14 }(1, \cdot)\) 14.a $14$ $1$ $1$ even
\(\chi_{ 14 }(13, \cdot)\) 14.b $14$ $7$ $2$ odd
\(\chi_{ 14 }(9, \cdot)\)\(\chi_{ 14 }(11, \cdot)\) 14.c $14$ $7$ $3$ even
\(\chi_{ 14 }(3, \cdot)\)\(\chi_{ 14 }(5, \cdot)\) 14.d $14$ $7$ $6$ odd
\(\chi_{ 15 }(1, \cdot)\) 15.a $15$ $1$ $1$ even
\(\chi_{ 15 }(4, \cdot)\) 15.b $15$ $5$ $2$ even
\(\chi_{ 15 }(11, \cdot)\) 15.c $15$ $3$ $2$ odd
\(\chi_{ 15 }(7, \cdot)\)\(\chi_{ 15 }(13, \cdot)\) 15.f $15$ $5$ $4$ odd
\(\chi_{ 16 }(1, \cdot)\) 16.a $16$ $1$ $1$ even
\(\chi_{ 16 }(9, \cdot)\) 16.b $16$ $8$ $2$ even
\(\chi_{ 16 }(15, \cdot)\) 16.c $16$ $4$ $2$ odd
\(\chi_{ 16 }(7, \cdot)\) 16.d $16$ $8$ $2$ odd
\(\chi_{ 17 }(1, \cdot)\) 17.a $17$ $1$ $1$ even
\(\chi_{ 18 }(1, \cdot)\) 18.a $18$ $1$ $1$ even
\(\chi_{ 18 }(17, \cdot)\) 18.b $18$ $3$ $2$ odd
\(\chi_{ 18 }(7, \cdot)\)\(\chi_{ 18 }(13, \cdot)\) 18.c $18$ $9$ $3$ even
\(\chi_{ 18 }(5, \cdot)\)\(\chi_{ 18 }(11, \cdot)\) 18.d $18$ $9$ $6$ odd
\(\chi_{ 19 }(1, \cdot)\) 19.a $19$ $1$ $1$ even
\(\chi_{ 20 }(1, \cdot)\) 20.a $20$ $1$ $1$ even
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