Dirichlet character χ4655(1291,⋅)\chi_{4655}(1291,\cdot)

• Label: 4655.1291
• Modulus: $4655$
• Conductor: $931$
• Order: $42$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4655$
Conductor:	$931$
Order:	$42$
Real:	no
Primitive:	no, induced from $\chi_{931}(360,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4655.et

$\chi_{4655}(341,\cdot)$ $\chi_{4655}(626,\cdot)$ $\chi_{4655}(1006,\cdot)$ $\chi_{4655}(1291,\cdot)$ $\chi_{4655}(1671,\cdot)$ $\chi_{4655}(1956,\cdot)$ $\chi_{4655}(2336,\cdot)$ $\chi_{4655}(2621,\cdot)$ $\chi_{4655}(3001,\cdot)$ $\chi_{4655}(3286,\cdot)$ $\chi_{4655}(3666,\cdot)$ $\chi_{4655}(4616,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{21})$
Fixed field:	Number field defined by a degree 42 polynomial

Values on generators

$(932,3041,2206)$ → $(1,e\left(\frac{25}{42}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 4655 }(1291, a)$	$1$	$1$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{19}{21}\right)$