Dirichlet character χ8304(2495,⋅)\chi_{8304}(2495,\cdot)

• Label: 8304.2495
• Modulus: $8304$
• Conductor: $2076$
• Order: $86$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$8304$
Conductor:	$2076$
Order:	$86$
Real:	no
Primitive:	no, induced from $\chi_{2076}(419,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 8304.bq

$\chi_{8304}(383,\cdot)$ $\chi_{8304}(575,\cdot)$ $\chi_{8304}(1151,\cdot)$ $\chi_{8304}(1439,\cdot)$ $\chi_{8304}(1535,\cdot)$ $\chi_{8304}(1679,\cdot)$ $\chi_{8304}(1967,\cdot)$ $\chi_{8304}(2111,\cdot)$ $\chi_{8304}(2303,\cdot)$ $\chi_{8304}(2399,\cdot)$ $\chi_{8304}(2447,\cdot)$ $\chi_{8304}(2495,\cdot)$ $\chi_{8304}(2543,\cdot)$ $\chi_{8304}(2687,\cdot)$ $\chi_{8304}(2783,\cdot)$ $\chi_{8304}(2927,\cdot)$ $\chi_{8304}(2975,\cdot)$ $\chi_{8304}(3071,\cdot)$ $\chi_{8304}(3311,\cdot)$ $\chi_{8304}(3839,\cdot)$ $\chi_{8304}(3983,\cdot)$ $\chi_{8304}(4319,\cdot)$ $\chi_{8304}(4415,\cdot)$ $\chi_{8304}(4511,\cdot)$ $\chi_{8304}(4655,\cdot)$ $\chi_{8304}(5231,\cdot)$ $\chi_{8304}(5279,\cdot)$ $\chi_{8304}(5327,\cdot)$ $\chi_{8304}(5567,\cdot)$ $\chi_{8304}(5903,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{43})$
Fixed field:	Number field defined by a degree 86 polynomial

Values on generators

$(1039,6229,5537,7441)$ → $(-1,1,-1,e\left(\frac{83}{86}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 8304 }(2495, a)$	$1$	$1$	$e\left(\frac{6}{43}\right)$	$e\left(\frac{8}{43}\right)$	$e\left(\frac{17}{86}\right)$	$e\left(\frac{20}{43}\right)$	$e\left(\frac{41}{43}\right)$	$e\left(\frac{15}{43}\right)$	$e\left(\frac{13}{43}\right)$	$e\left(\frac{12}{43}\right)$	$e\left(\frac{41}{86}\right)$	$e\left(\frac{81}{86}\right)$