Dirichlet character χ7448(5963,⋅)\chi_{7448}(5963,\cdot)

• Label: 7448.5963
• Modulus: $7448$
• Conductor: $7448$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$7448$
Conductor:	$7448$
Order:	$126$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 7448.jd

$\chi_{7448}(139,\cdot)$ $\chi_{7448}(251,\cdot)$ $\chi_{7448}(643,\cdot)$ $\chi_{7448}(1035,\cdot)$ $\chi_{7448}(1203,\cdot)$ $\chi_{7448}(1259,\cdot)$ $\chi_{7448}(1315,\cdot)$ $\chi_{7448}(1651,\cdot)$ $\chi_{7448}(1707,\cdot)$ $\chi_{7448}(2099,\cdot)$ $\chi_{7448}(2267,\cdot)$ $\chi_{7448}(2323,\cdot)$ $\chi_{7448}(2379,\cdot)$ $\chi_{7448}(2715,\cdot)$ $\chi_{7448}(2771,\cdot)$ $\chi_{7448}(3163,\cdot)$ $\chi_{7448}(3387,\cdot)$ $\chi_{7448}(3443,\cdot)$ $\chi_{7448}(3779,\cdot)$ $\chi_{7448}(3835,\cdot)$ $\chi_{7448}(4227,\cdot)$ $\chi_{7448}(4395,\cdot)$ $\chi_{7448}(4451,\cdot)$ $\chi_{7448}(4843,\cdot)$ $\chi_{7448}(5459,\cdot)$ $\chi_{7448}(5515,\cdot)$ $\chi_{7448}(5571,\cdot)$ $\chi_{7448}(5907,\cdot)$ $\chi_{7448}(5963,\cdot)$ $\chi_{7448}(6355,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

$(1863,3725,3041,3137)$ → $(-1,-1,e\left(\frac{3}{14}\right),e\left(\frac{2}{9}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$23$	$25$	$27$
$\chi_{ 7448 }(5963, a)$	$1$	$1$	$e\left(\frac{13}{126}\right)$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{43}{63}\right)$	$e\left(\frac{47}{126}\right)$	$e\left(\frac{73}{126}\right)$	$e\left(\frac{11}{126}\right)$	$e\left(\frac{34}{63}\right)$	$e\left(\frac{13}{42}\right)$