Dirichlet character χ6145(1063,⋅)\chi_{6145}(1063,\cdot)

• Label: 6145.1063
• Modulus: $6145$
• Conductor: $6145$
• Order: $1228$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$6145$
Conductor:	$6145$
Order:	$1228$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 6145.r

$\chi_{6145}(7,\cdot)$ $\chi_{6145}(22,\cdot)$ $\chi_{6145}(42,\cdot)$ $\chi_{6145}(43,\cdot)$ $\chi_{6145}(57,\cdot)$ $\chi_{6145}(58,\cdot)$ $\chi_{6145}(73,\cdot)$ $\chi_{6145}(97,\cdot)$ $\chi_{6145}(107,\cdot)$ $\chi_{6145}(112,\cdot)$ $\chi_{6145}(113,\cdot)$ $\chi_{6145}(132,\cdot)$ $\chi_{6145}(142,\cdot)$ $\chi_{6145}(152,\cdot)$ $\chi_{6145}(157,\cdot)$ $\chi_{6145}(182,\cdot)$ $\chi_{6145}(188,\cdot)$ $\chi_{6145}(197,\cdot)$ $\chi_{6145}(212,\cdot)$ $\chi_{6145}(217,\cdot)$ $\chi_{6145}(233,\cdot)$ $\chi_{6145}(238,\cdot)$ $\chi_{6145}(247,\cdot)$ $\chi_{6145}(252,\cdot)$ $\chi_{6145}(253,\cdot)$ $\chi_{6145}(258,\cdot)$ $\chi_{6145}(262,\cdot)$ $\chi_{6145}(268,\cdot)$ $\chi_{6145}(277,\cdot)$ $\chi_{6145}(283,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{1228})$
Fixed field:	Number field defined by a degree 1228 polynomial (not computed)

Values on generators

$(4917,1231)$ → $(-i,e\left(\frac{531}{614}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 6145 }(1063, a)$	$-1$	$1$	$e\left(\frac{755}{1228}\right)$	$e\left(\frac{905}{1228}\right)$	$e\left(\frac{141}{614}\right)$	$e\left(\frac{108}{307}\right)$	$e\left(\frac{881}{1228}\right)$	$e\left(\frac{1037}{1228}\right)$	$e\left(\frac{291}{614}\right)$	$e\left(\frac{37}{614}\right)$	$e\left(\frac{1187}{1228}\right)$	$e\left(\frac{1009}{1228}\right)$