Dirichlet character χ1386(95,⋅)\chi_{1386}(95,\cdot)

• Label: 1386.95
• Modulus: $1386$
• Conductor: $693$
• Order: $30$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1386$
Conductor:	$693$
Order:	$30$
Real:	no
Primitive:	no, induced from $\chi_{693}(95,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1386.cz

$\chi_{1386}(95,\cdot)$ $\chi_{1386}(347,\cdot)$ $\chi_{1386}(569,\cdot)$ $\chi_{1386}(695,\cdot)$ $\chi_{1386}(821,\cdot)$ $\chi_{1386}(1073,\cdot)$ $\chi_{1386}(1229,\cdot)$ $\chi_{1386}(1355,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{15})$
Fixed field:	30.30.3090436055135317762211701171120211681132969992614273937990792412553.1

Values on generators

$(155,199,1135)$ → $(e\left(\frac{5}{6}\right),e\left(\frac{2}{3}\right),e\left(\frac{7}{10}\right))$

First values

$a$	$-1$	$1$	$5$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 1386 }(95, a)$	$1$	$1$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{13}{30}\right)$	$-1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{4}{15}\right)$