Dirichlet character χ16245(787,⋅)\chi_{16245}(787,\cdot)

• Label: 16245.787
• Modulus: $16245$
• Conductor: $16245$
• Order: $228$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$16245$
Conductor:	$16245$
Order:	$228$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 16245.gc

$\chi_{16245}(88,\cdot)$ $\chi_{16245}(103,\cdot)$ $\chi_{16245}(772,\cdot)$ $\chi_{16245}(787,\cdot)$ $\chi_{16245}(943,\cdot)$ $\chi_{16245}(958,\cdot)$ $\chi_{16245}(1627,\cdot)$ $\chi_{16245}(1642,\cdot)$ $\chi_{16245}(1798,\cdot)$ $\chi_{16245}(1813,\cdot)$ $\chi_{16245}(2482,\cdot)$ $\chi_{16245}(2497,\cdot)$ $\chi_{16245}(2653,\cdot)$ $\chi_{16245}(2668,\cdot)$ $\chi_{16245}(3337,\cdot)$ $\chi_{16245}(3352,\cdot)$ $\chi_{16245}(3508,\cdot)$ $\chi_{16245}(3523,\cdot)$ $\chi_{16245}(4192,\cdot)$ $\chi_{16245}(4207,\cdot)$ $\chi_{16245}(4363,\cdot)$ $\chi_{16245}(4378,\cdot)$ $\chi_{16245}(5047,\cdot)$ $\chi_{16245}(5062,\cdot)$ $\chi_{16245}(5218,\cdot)$ $\chi_{16245}(5233,\cdot)$ $\chi_{16245}(5902,\cdot)$ $\chi_{16245}(5917,\cdot)$ $\chi_{16245}(6073,\cdot)$ $\chi_{16245}(6088,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{228})$
Fixed field:	Number field defined by a degree 228 polynomial (not computed)

Values on generators

$(3611,12997,15886)$ → $(e\left(\frac{1}{3}\right),i,e\left(\frac{73}{114}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 16245 }(787, a)$	$1$	$1$	$e\left(\frac{17}{76}\right)$	$e\left(\frac{17}{38}\right)$	$e\left(\frac{145}{228}\right)$	$e\left(\frac{51}{76}\right)$	$e\left(\frac{37}{57}\right)$	$e\left(\frac{7}{76}\right)$	$e\left(\frac{49}{57}\right)$	$e\left(\frac{17}{19}\right)$	$e\left(\frac{221}{228}\right)$	$e\left(\frac{199}{228}\right)$