Dirichlet character χ46208(647,⋅)\chi_{46208}(647,\cdot)

• Label: 46208.647
• Modulus: $46208$
• Conductor: $23104$
• Order: $304$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$46208$
Conductor:	$23104$
Order:	$304$
Real:	no
Primitive:	no, induced from $\chi_{23104}(13643,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 46208.dy

$\chi_{46208}(39,\cdot)$ $\chi_{46208}(343,\cdot)$ $\chi_{46208}(647,\cdot)$ $\chi_{46208}(951,\cdot)$ $\chi_{46208}(1255,\cdot)$ $\chi_{46208}(1559,\cdot)$ $\chi_{46208}(1863,\cdot)$ $\chi_{46208}(2471,\cdot)$ $\chi_{46208}(2775,\cdot)$ $\chi_{46208}(3079,\cdot)$ $\chi_{46208}(3383,\cdot)$ $\chi_{46208}(3687,\cdot)$ $\chi_{46208}(3991,\cdot)$ $\chi_{46208}(4295,\cdot)$ $\chi_{46208}(4599,\cdot)$ $\chi_{46208}(4903,\cdot)$ $\chi_{46208}(5207,\cdot)$ $\chi_{46208}(5511,\cdot)$ $\chi_{46208}(5815,\cdot)$ $\chi_{46208}(6119,\cdot)$ $\chi_{46208}(6423,\cdot)$ $\chi_{46208}(6727,\cdot)$ $\chi_{46208}(7031,\cdot)$ $\chi_{46208}(7335,\cdot)$ $\chi_{46208}(7639,\cdot)$ $\chi_{46208}(8247,\cdot)$ $\chi_{46208}(8551,\cdot)$ $\chi_{46208}(8855,\cdot)$ $\chi_{46208}(9159,\cdot)$ $\chi_{46208}(9463,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{304})$
Fixed field:	Number field defined by a degree 304 polynomial (not computed)

Values on generators

$(28159,36101,14081)$ → $(-1,e\left(\frac{5}{16}\right),e\left(\frac{5}{19}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(647, a)$	$-1$	$1$	$e\left(\frac{5}{304}\right)$	$e\left(\frac{111}{304}\right)$	$e\left(\frac{15}{152}\right)$	$e\left(\frac{5}{152}\right)$	$e\left(\frac{275}{304}\right)$	$e\left(\frac{81}{304}\right)$	$e\left(\frac{29}{76}\right)$	$e\left(\frac{17}{76}\right)$	$e\left(\frac{35}{304}\right)$	$e\left(\frac{45}{152}\right)$