Dirichlet character χ2856(2845,⋅)\chi_{2856}(2845,\cdot)

• Label: 2856.2845
• Modulus: $2856$
• Conductor: $952$
• Order: $48$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2856$
Conductor:	$952$
Order:	$48$
Real:	no
Primitive:	no, induced from $\chi_{952}(941,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 2856.fv

$\chi_{2856}(61,\cdot)$ $\chi_{2856}(397,\cdot)$ $\chi_{2856}(997,\cdot)$ $\chi_{2856}(1333,\cdot)$ $\chi_{2856}(1405,\cdot)$ $\chi_{2856}(1501,\cdot)$ $\chi_{2856}(1669,\cdot)$ $\chi_{2856}(1741,\cdot)$ $\chi_{2856}(1909,\cdot)$ $\chi_{2856}(2077,\cdot)$ $\chi_{2856}(2173,\cdot)$ $\chi_{2856}(2341,\cdot)$ $\chi_{2856}(2509,\cdot)$ $\chi_{2856}(2581,\cdot)$ $\chi_{2856}(2749,\cdot)$ $\chi_{2856}(2845,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{48})$
Fixed field:	Number field defined by a degree 48 polynomial

Values on generators

$(2143,1429,953,409,2689)$ → $(1,-1,1,e\left(\frac{1}{6}\right),e\left(\frac{15}{16}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 2856 }(2845, a)$	$1$	$1$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{35}{48}\right)$	$-i$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{19}{48}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{37}{48}\right)$	$e\left(\frac{13}{16}\right)$