Dirichlet character χ4655(661,⋅)\chi_{4655}(661,\cdot)

• Label: 4655.661
• 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 $\chi_{931}(661,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4655.gd

$\chi_{4655}(241,\cdot)$ $\chi_{4655}(306,\cdot)$ $\chi_{4655}(516,\cdot)$ $\chi_{4655}(661,\cdot)$ $\chi_{4655}(831,\cdot)$ $\chi_{4655}(906,\cdot)$ $\chi_{4655}(941,\cdot)$ $\chi_{4655}(971,\cdot)$ $\chi_{4655}(1181,\cdot)$ $\chi_{4655}(1326,\cdot)$ $\chi_{4655}(1496,\cdot)$ $\chi_{4655}(1571,\cdot)$ $\chi_{4655}(1606,\cdot)$ $\chi_{4655}(1846,\cdot)$ $\chi_{4655}(2161,\cdot)$ $\chi_{4655}(2271,\cdot)$ $\chi_{4655}(2301,\cdot)$ $\chi_{4655}(2511,\cdot)$ $\chi_{4655}(2656,\cdot)$ $\chi_{4655}(2826,\cdot)$ $\chi_{4655}(2901,\cdot)$ $\chi_{4655}(2936,\cdot)$ $\chi_{4655}(2966,\cdot)$ $\chi_{4655}(3176,\cdot)$ $\chi_{4655}(3321,\cdot)$ $\chi_{4655}(3491,\cdot)$ $\chi_{4655}(3566,\cdot)$ $\chi_{4655}(3601,\cdot)$ $\chi_{4655}(3631,\cdot)$ $\chi_{4655}(3986,\cdot)$ ...

Related number fields

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

Values on generators

$(932,3041,2206)$ → $(1,e\left(\frac{37}{42}\right),e\left(\frac{11}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 4655 }(661, a)$	$1$	$1$	$e\left(\frac{65}{126}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{2}{63}\right)$	$e\left(\frac{43}{126}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{41}{63}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{8}{63}\right)$	$e\left(\frac{4}{63}\right)$