Dirichlet character χ968(467,⋅)\chi_{968}(467,\cdot)

• Label: 968.467
• Modulus: $968$
• Conductor: $968$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$968$
Conductor:	$968$
Order:	$110$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 968.z

$\chi_{968}(59,\cdot)$ $\chi_{968}(75,\cdot)$ $\chi_{968}(91,\cdot)$ $\chi_{968}(115,\cdot)$ $\chi_{968}(147,\cdot)$ $\chi_{968}(163,\cdot)$ $\chi_{968}(179,\cdot)$ $\chi_{968}(203,\cdot)$ $\chi_{968}(235,\cdot)$ $\chi_{968}(267,\cdot)$ $\chi_{968}(291,\cdot)$ $\chi_{968}(339,\cdot)$ $\chi_{968}(355,\cdot)$ $\chi_{968}(379,\cdot)$ $\chi_{968}(411,\cdot)$ $\chi_{968}(427,\cdot)$ $\chi_{968}(443,\cdot)$ $\chi_{968}(467,\cdot)$ $\chi_{968}(499,\cdot)$ $\chi_{968}(515,\cdot)$ $\chi_{968}(531,\cdot)$ $\chi_{968}(555,\cdot)$ $\chi_{968}(587,\cdot)$ $\chi_{968}(603,\cdot)$ $\chi_{968}(619,\cdot)$ $\chi_{968}(643,\cdot)$ $\chi_{968}(675,\cdot)$ $\chi_{968}(691,\cdot)$ $\chi_{968}(707,\cdot)$ $\chi_{968}(731,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

$(727,485,849)$ → $(-1,-1,e\left(\frac{52}{55}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$13$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 968 }(467, a)$	$-1$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{15}{22}\right)$

Gauss sum

Jacobi sum

Kloosterman sum