Dirichlet character χ931(759,⋅)\chi_{931}(759,\cdot)

• Label: 931.759
• Modulus: $931$
• Conductor: $931$
• Order: $42$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$931$
Conductor:	$931$
Order:	$42$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 931.bt

$\chi_{931}(75,\cdot)$ $\chi_{931}(94,\cdot)$ $\chi_{931}(208,\cdot)$ $\chi_{931}(341,\cdot)$ $\chi_{931}(360,\cdot)$ $\chi_{931}(474,\cdot)$ $\chi_{931}(493,\cdot)$ $\chi_{931}(626,\cdot)$ $\chi_{931}(740,\cdot)$ $\chi_{931}(759,\cdot)$ $\chi_{931}(873,\cdot)$ $\chi_{931}(892,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{21})$
Fixed field:	Number field defined by a degree 42 polynomial

Values on generators

$(248,344)$ → $(e\left(\frac{37}{42}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$8$	$9$	$10$	$11$	$12$
$\chi_{ 931 }(759, a)$	$1$	$1$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{4}{21}\right)$

Gauss sum

Jacobi sum

Kloosterman sum