Dirichlet character χ1332(967,⋅)\chi_{1332}(967,\cdot)

• Label: 1332.967
• Modulus: $1332$
• Conductor: $1332$
• Order: $36$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1332$
Conductor:	$1332$
Order:	$36$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1332.dr

$\chi_{1332}(187,\cdot)$ $\chi_{1332}(283,\cdot)$ $\chi_{1332}(331,\cdot)$ $\chi_{1332}(463,\cdot)$ $\chi_{1332}(499,\cdot)$ $\chi_{1332}(679,\cdot)$ $\chi_{1332}(799,\cdot)$ $\chi_{1332}(871,\cdot)$ $\chi_{1332}(967,\cdot)$ $\chi_{1332}(979,\cdot)$ $\chi_{1332}(1051,\cdot)$ $\chi_{1332}(1327,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{36})$
Fixed field:	36.36.42263008854516662438364849366996329933779192991109099024104855333205078569792559831318528.2

Values on generators

$(667,1037,1297)$ → $(-1,e\left(\frac{1}{3}\right),e\left(\frac{23}{36}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 1332 }(967, a)$	$1$	$1$	$e\left(\frac{13}{36}\right)$	$e\left(\frac{5}{18}\right)$	$1$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{17}{36}\right)$	$e\left(\frac{31}{36}\right)$	$-i$	$e\left(\frac{13}{18}\right)$	$-i$	$e\left(\frac{11}{12}\right)$