Dirichlet character χ7800(2759,⋅)\chi_{7800}(2759,\cdot)

• Label: 7800.2759
• Modulus: $7800$
• Conductor: $3900$
• Order: $30$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$7800$
Conductor:	$3900$
Order:	$30$
Real:	no
Primitive:	no, induced from $\chi_{3900}(2759,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 7800.jt

$\chi_{7800}(1439,\cdot)$ $\chi_{7800}(2759,\cdot)$ $\chi_{7800}(4319,\cdot)$ $\chi_{7800}(4559,\cdot)$ $\chi_{7800}(5879,\cdot)$ $\chi_{7800}(6119,\cdot)$ $\chi_{7800}(7439,\cdot)$ $\chi_{7800}(7679,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{15})$
Fixed field:	Number field defined by a degree 30 polynomial

Values on generators

$(1951,3901,5201,7177,4201)$ → $(-1,1,-1,e\left(\frac{7}{10}\right),e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 7800 }(2759, a)$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{2}{3}\right)$