Dirichlet character χ46208(49,⋅)\chi_{46208}(49,\cdot)

• Label: 46208.49
• Modulus: $46208$
• Conductor: $11552$
• Order: $456$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$46208$
Conductor:	$11552$
Order:	$456$
Real:	no
Primitive:	no, induced from $\chi_{11552}(1493,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 46208.ej

$\chi_{46208}(49,\cdot)$ $\chi_{46208}(273,\cdot)$ $\chi_{46208}(657,\cdot)$ $\chi_{46208}(881,\cdot)$ $\chi_{46208}(1265,\cdot)$ $\chi_{46208}(1489,\cdot)$ $\chi_{46208}(2481,\cdot)$ $\chi_{46208}(2705,\cdot)$ $\chi_{46208}(3089,\cdot)$ $\chi_{46208}(3313,\cdot)$ $\chi_{46208}(3697,\cdot)$ $\chi_{46208}(3921,\cdot)$ $\chi_{46208}(4305,\cdot)$ $\chi_{46208}(4529,\cdot)$ $\chi_{46208}(4913,\cdot)$ $\chi_{46208}(5137,\cdot)$ $\chi_{46208}(5521,\cdot)$ $\chi_{46208}(5745,\cdot)$ $\chi_{46208}(6129,\cdot)$ $\chi_{46208}(6353,\cdot)$ $\chi_{46208}(6737,\cdot)$ $\chi_{46208}(6961,\cdot)$ $\chi_{46208}(7345,\cdot)$ $\chi_{46208}(7569,\cdot)$ $\chi_{46208}(7953,\cdot)$ $\chi_{46208}(8177,\cdot)$ $\chi_{46208}(8561,\cdot)$ $\chi_{46208}(8785,\cdot)$ $\chi_{46208}(9169,\cdot)$ $\chi_{46208}(9393,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{456})$
Fixed field:	Number field defined by a degree 456 polynomial (not computed)

Values on generators

$(28159,36101,14081)$ → $(1,e\left(\frac{5}{8}\right),e\left(\frac{50}{57}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(49, a)$	$1$	$1$	$e\left(\frac{367}{456}\right)$	$e\left(\frac{61}{456}\right)$	$e\left(\frac{63}{76}\right)$	$e\left(\frac{139}{228}\right)$	$e\left(\frac{91}{152}\right)$	$e\left(\frac{443}{456}\right)$	$e\left(\frac{107}{114}\right)$	$e\left(\frac{85}{114}\right)$	$e\left(\frac{289}{456}\right)$	$e\left(\frac{187}{228}\right)$