Dirichlet character χ7623(1214,⋅)\chi_{7623}(1214,\cdot)

• Label: 7623.1214
• Modulus: $7623$
• Conductor: $2541$
• Order: $330$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$7623$
Conductor:	$2541$
Order:	$330$
Real:	no
Primitive:	no, induced from $\chi_{2541}(1214,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 7623.fr

$\chi_{7623}(26,\cdot)$ $\chi_{7623}(80,\cdot)$ $\chi_{7623}(152,\cdot)$ $\chi_{7623}(278,\cdot)$ $\chi_{7623}(467,\cdot)$ $\chi_{7623}(521,\cdot)$ $\chi_{7623}(647,\cdot)$ $\chi_{7623}(719,\cdot)$ $\chi_{7623}(773,\cdot)$ $\chi_{7623}(845,\cdot)$ $\chi_{7623}(962,\cdot)$ $\chi_{7623}(1160,\cdot)$ $\chi_{7623}(1214,\cdot)$ $\chi_{7623}(1466,\cdot)$ $\chi_{7623}(1538,\cdot)$ $\chi_{7623}(1655,\cdot)$ $\chi_{7623}(1664,\cdot)$ $\chi_{7623}(1853,\cdot)$ $\chi_{7623}(1907,\cdot)$ $\chi_{7623}(2033,\cdot)$ $\chi_{7623}(2105,\cdot)$ $\chi_{7623}(2159,\cdot)$ $\chi_{7623}(2231,\cdot)$ $\chi_{7623}(2348,\cdot)$ $\chi_{7623}(2357,\cdot)$ $\chi_{7623}(2546,\cdot)$ $\chi_{7623}(2600,\cdot)$ $\chi_{7623}(2726,\cdot)$ $\chi_{7623}(2798,\cdot)$ $\chi_{7623}(2852,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 330 polynomial (not computed)

Values on generators

$(848,4357,4600)$ → $(-1,e\left(\frac{1}{6}\right),e\left(\frac{1}{55}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$13$	$16$	$17$	$19$	$20$
$\chi_{ 7623 }(1214, a)$	$1$	$1$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{116}{165}\right)$	$e\left(\frac{112}{165}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{92}{165}\right)$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{21}{55}\right)$