Dirichlet character χ2100(1109,⋅)\chi_{2100}(1109,\cdot)

• Label: 2100.1109
• Modulus: $2100$
• Conductor: $525$
• Order: $30$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2100$
Conductor:	$525$
Order:	$30$
Real:	no
Primitive:	no, induced from $\chi_{525}(59,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 2100.cv

$\chi_{2100}(89,\cdot)$ $\chi_{2100}(269,\cdot)$ $\chi_{2100}(509,\cdot)$ $\chi_{2100}(689,\cdot)$ $\chi_{2100}(929,\cdot)$ $\chi_{2100}(1109,\cdot)$ $\chi_{2100}(1529,\cdot)$ $\chi_{2100}(1769,\cdot)$

Related number fields

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

Values on generators

$(1051,701,1177,1501)$ → $(1,-1,e\left(\frac{7}{10}\right),e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 2100 }(1109, a)$	$1$	$1$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{4}{5}\right)$	$-1$