Dirichlet character χ4096(133,⋅)\chi_{4096}(133,\cdot)

• Label: 4096.133
• Modulus: $4096$
• Conductor: $4096$
• Order: $1024$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4096$
Conductor:	$4096$
Order:	$1024$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4096.u

$\chi_{4096}(5,\cdot)$ $\chi_{4096}(13,\cdot)$ $\chi_{4096}(21,\cdot)$ $\chi_{4096}(29,\cdot)$ $\chi_{4096}(37,\cdot)$ $\chi_{4096}(45,\cdot)$ $\chi_{4096}(53,\cdot)$ $\chi_{4096}(61,\cdot)$ $\chi_{4096}(69,\cdot)$ $\chi_{4096}(77,\cdot)$ $\chi_{4096}(85,\cdot)$ $\chi_{4096}(93,\cdot)$ $\chi_{4096}(101,\cdot)$ $\chi_{4096}(109,\cdot)$ $\chi_{4096}(117,\cdot)$ $\chi_{4096}(125,\cdot)$ $\chi_{4096}(133,\cdot)$ $\chi_{4096}(141,\cdot)$ $\chi_{4096}(149,\cdot)$ $\chi_{4096}(157,\cdot)$ $\chi_{4096}(165,\cdot)$ $\chi_{4096}(173,\cdot)$ $\chi_{4096}(181,\cdot)$ $\chi_{4096}(189,\cdot)$ $\chi_{4096}(197,\cdot)$ $\chi_{4096}(205,\cdot)$ $\chi_{4096}(213,\cdot)$ $\chi_{4096}(221,\cdot)$ $\chi_{4096}(229,\cdot)$ $\chi_{4096}(237,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{1024})$
Fixed field:	Number field defined by a degree 1024 polynomial (not computed)

Values on generators

$(4095,5)$ → $(1,e\left(\frac{609}{1024}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 4096 }(133, a)$	$1$	$1$	$e\left(\frac{451}{1024}\right)$	$e\left(\frac{609}{1024}\right)$	$e\left(\frac{325}{512}\right)$	$e\left(\frac{451}{512}\right)$	$e\left(\frac{693}{1024}\right)$	$e\left(\frac{911}{1024}\right)$	$e\left(\frac{9}{256}\right)$	$e\left(\frac{7}{256}\right)$	$e\left(\frac{567}{1024}\right)$	$e\left(\frac{77}{1024}\right)$