Dirichlet character χ46208(53,⋅)\chi_{46208}(53,\cdot)

• Label: 46208.53
• Modulus: $46208$
• Conductor: $46208$
• Order: $5472$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$46208$
Conductor:	$46208$
Order:	$5472$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 46208.fn

$\chi_{46208}(13,\cdot)$ $\chi_{46208}(21,\cdot)$ $\chi_{46208}(29,\cdot)$ $\chi_{46208}(53,\cdot)$ $\chi_{46208}(109,\cdot)$ $\chi_{46208}(117,\cdot)$ $\chi_{46208}(165,\cdot)$ $\chi_{46208}(173,\cdot)$ $\chi_{46208}(181,\cdot)$ $\chi_{46208}(205,\cdot)$ $\chi_{46208}(261,\cdot)$ $\chi_{46208}(269,\cdot)$ $\chi_{46208}(317,\cdot)$ $\chi_{46208}(325,\cdot)$ $\chi_{46208}(357,\cdot)$ $\chi_{46208}(413,\cdot)$ $\chi_{46208}(421,\cdot)$ $\chi_{46208}(469,\cdot)$ $\chi_{46208}(485,\cdot)$ $\chi_{46208}(509,\cdot)$ $\chi_{46208}(565,\cdot)$ $\chi_{46208}(573,\cdot)$ $\chi_{46208}(621,\cdot)$ $\chi_{46208}(629,\cdot)$ $\chi_{46208}(637,\cdot)$ $\chi_{46208}(661,\cdot)$ $\chi_{46208}(717,\cdot)$ $\chi_{46208}(725,\cdot)$ $\chi_{46208}(773,\cdot)$ $\chi_{46208}(781,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{5472})$
Fixed field:	Number field defined by a degree 5472 polynomial (not computed)

Values on generators

$(28159,36101,14081)$ → $(1,e\left(\frac{5}{32}\right),e\left(\frac{83}{342}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(53, a)$	$-1$	$1$	$e\left(\frac{1109}{5472}\right)$	$e\left(\frac{2519}{5472}\right)$	$e\left(\frac{881}{912}\right)$	$e\left(\frac{1109}{2736}\right)$	$e\left(\frac{65}{1824}\right)$	$e\left(\frac{1033}{5472}\right)$	$e\left(\frac{907}{1368}\right)$	$e\left(\frac{305}{1368}\right)$	$e\left(\frac{923}{5472}\right)$	$e\left(\frac{1697}{2736}\right)$