Dirichlet character χ4655(3981,⋅)\chi_{4655}(3981,\cdot)

• Label: 4655.3981
• Modulus: $4655$
• Conductor: $931$
• Order: $126$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4655$
Conductor:	$931$
Order:	$126$
Real:	no
Primitive:	no, induced from $\chi_{931}(257,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4655.go

$\chi_{4655}(136,\cdot)$ $\chi_{4655}(376,\cdot)$ $\chi_{4655}(451,\cdot)$ $\chi_{4655}(591,\cdot)$ $\chi_{4655}(621,\cdot)$ $\chi_{4655}(801,\cdot)$ $\chi_{4655}(1041,\cdot)$ $\chi_{4655}(1116,\cdot)$ $\chi_{4655}(1286,\cdot)$ $\chi_{4655}(1321,\cdot)$ $\chi_{4655}(1466,\cdot)$ $\chi_{4655}(1706,\cdot)$ $\chi_{4655}(1781,\cdot)$ $\chi_{4655}(1921,\cdot)$ $\chi_{4655}(1951,\cdot)$ $\chi_{4655}(1986,\cdot)$ $\chi_{4655}(2131,\cdot)$ $\chi_{4655}(2446,\cdot)$ $\chi_{4655}(2586,\cdot)$ $\chi_{4655}(2651,\cdot)$ $\chi_{4655}(2796,\cdot)$ $\chi_{4655}(3036,\cdot)$ $\chi_{4655}(3111,\cdot)$ $\chi_{4655}(3251,\cdot)$ $\chi_{4655}(3281,\cdot)$ $\chi_{4655}(3316,\cdot)$ $\chi_{4655}(3701,\cdot)$ $\chi_{4655}(3776,\cdot)$ $\chi_{4655}(3916,\cdot)$ $\chi_{4655}(3946,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

$(932,3041,2206)$ → $(1,e\left(\frac{11}{42}\right),e\left(\frac{17}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 4655 }(3981, a)$	$1$	$1$	$e\left(\frac{95}{126}\right)$	$e\left(\frac{34}{63}\right)$	$e\left(\frac{32}{63}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{23}{63}\right)$	$e\left(\frac{1}{63}\right)$