Dirichlet character χ43904(19,⋅)\chi_{43904}(19,\cdot)

• Label: 43904.19
• Modulus: $43904$
• Conductor: $896$
• Order: $96$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$43904$
Conductor:	$896$
Order:	$96$
Real:	no
Primitive:	no, induced from $\chi_{896}(19,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 43904.cw

$\chi_{43904}(19,\cdot)$ $\chi_{43904}(1011,\cdot)$ $\chi_{43904}(2763,\cdot)$ $\chi_{43904}(3755,\cdot)$ $\chi_{43904}(5507,\cdot)$ $\chi_{43904}(6499,\cdot)$ $\chi_{43904}(8251,\cdot)$ $\chi_{43904}(9243,\cdot)$ $\chi_{43904}(10995,\cdot)$ $\chi_{43904}(11987,\cdot)$ $\chi_{43904}(13739,\cdot)$ $\chi_{43904}(14731,\cdot)$ $\chi_{43904}(16483,\cdot)$ $\chi_{43904}(17475,\cdot)$ $\chi_{43904}(19227,\cdot)$ $\chi_{43904}(20219,\cdot)$ $\chi_{43904}(21971,\cdot)$ $\chi_{43904}(22963,\cdot)$ $\chi_{43904}(24715,\cdot)$ $\chi_{43904}(25707,\cdot)$ $\chi_{43904}(27459,\cdot)$ $\chi_{43904}(28451,\cdot)$ $\chi_{43904}(30203,\cdot)$ $\chi_{43904}(31195,\cdot)$ $\chi_{43904}(32947,\cdot)$ $\chi_{43904}(33939,\cdot)$ $\chi_{43904}(35691,\cdot)$ $\chi_{43904}(36683,\cdot)$ $\chi_{43904}(38435,\cdot)$ $\chi_{43904}(39427,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{96})$
Fixed field:	Number field defined by a degree 96 polynomial

Values on generators

$(17151,9605,17153)$ → $(-1,e\left(\frac{23}{32}\right),e\left(\frac{5}{6}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$19$	$23$	$25$
$\chi_{ 43904 }(19, a)$	$1$	$1$	$e\left(\frac{47}{96}\right)$	$e\left(\frac{85}{96}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{89}{96}\right)$	$e\left(\frac{9}{32}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{19}{96}\right)$	$e\left(\frac{11}{48}\right)$	$e\left(\frac{37}{48}\right)$