Dirichlet character χ4334(243,⋅)\chi_{4334}(243,\cdot)

• Label: 4334.243
• Modulus: $4334$
• Conductor: $197$
• Order: $196$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$4334$
Conductor:	$197$
Order:	$196$
Real:	no
Primitive:	no, induced from $\chi_{197}(46,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 4334.bd

$\chi_{4334}(45,\cdot)$ $\chi_{4334}(67,\cdot)$ $\chi_{4334}(89,\cdot)$ $\chi_{4334}(111,\cdot)$ $\chi_{4334}(199,\cdot)$ $\chi_{4334}(243,\cdot)$ $\chi_{4334}(397,\cdot)$ $\chi_{4334}(485,\cdot)$ $\chi_{4334}(573,\cdot)$ $\chi_{4334}(639,\cdot)$ $\chi_{4334}(771,\cdot)$ $\chi_{4334}(793,\cdot)$ $\chi_{4334}(815,\cdot)$ $\chi_{4334}(859,\cdot)$ $\chi_{4334}(903,\cdot)$ $\chi_{4334}(947,\cdot)$ $\chi_{4334}(1035,\cdot)$ $\chi_{4334}(1057,\cdot)$ $\chi_{4334}(1079,\cdot)$ $\chi_{4334}(1255,\cdot)$ $\chi_{4334}(1277,\cdot)$ $\chi_{4334}(1299,\cdot)$ $\chi_{4334}(1321,\cdot)$ $\chi_{4334}(1387,\cdot)$ $\chi_{4334}(1409,\cdot)$ $\chi_{4334}(1431,\cdot)$ $\chi_{4334}(1453,\cdot)$ $\chi_{4334}(1497,\cdot)$ $\chi_{4334}(1519,\cdot)$ $\chi_{4334}(1541,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{196})$
Fixed field:	Number field defined by a degree 196 polynomial (not computed)

Values on generators

$(1971,199)$ → $(1,e\left(\frac{121}{196}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$13$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 4334 }(243, a)$	$-1$	$1$	$e\left(\frac{145}{196}\right)$	$e\left(\frac{185}{196}\right)$	$e\left(\frac{13}{98}\right)$	$e\left(\frac{47}{98}\right)$	$e\left(\frac{85}{196}\right)$	$e\left(\frac{67}{98}\right)$	$e\left(\frac{31}{196}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{171}{196}\right)$	$e\left(\frac{4}{49}\right)$