Dirichlet character χ5488(25,⋅)\chi_{5488}(25,\cdot)

• Label: 5488.25
• Modulus: $5488$
• Conductor: $2744$
• Order: $294$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$5488$
Conductor:	$2744$
Order:	$294$
Real:	no
Primitive:	no, induced from $\chi_{2744}(1397,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 5488.co

$\chi_{5488}(9,\cdot)$ $\chi_{5488}(25,\cdot)$ $\chi_{5488}(121,\cdot)$ $\chi_{5488}(137,\cdot)$ $\chi_{5488}(233,\cdot)$ $\chi_{5488}(249,\cdot)$ $\chi_{5488}(345,\cdot)$ $\chi_{5488}(457,\cdot)$ $\chi_{5488}(473,\cdot)$ $\chi_{5488}(585,\cdot)$ $\chi_{5488}(681,\cdot)$ $\chi_{5488}(697,\cdot)$ $\chi_{5488}(793,\cdot)$ $\chi_{5488}(809,\cdot)$ $\chi_{5488}(905,\cdot)$ $\chi_{5488}(921,\cdot)$ $\chi_{5488}(1017,\cdot)$ $\chi_{5488}(1033,\cdot)$ $\chi_{5488}(1129,\cdot)$ $\chi_{5488}(1241,\cdot)$ $\chi_{5488}(1257,\cdot)$ $\chi_{5488}(1369,\cdot)$ $\chi_{5488}(1465,\cdot)$ $\chi_{5488}(1481,\cdot)$ $\chi_{5488}(1577,\cdot)$ $\chi_{5488}(1593,\cdot)$ $\chi_{5488}(1689,\cdot)$ $\chi_{5488}(1705,\cdot)$ $\chi_{5488}(1801,\cdot)$ $\chi_{5488}(1817,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{147})$
Fixed field:	Number field defined by a degree 294 polynomial (not computed)

Values on generators

$(687,4117,689)$ → $(1,-1,e\left(\frac{29}{147}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$19$	$23$	$25$
$\chi_{ 5488 }(25, a)$	$1$	$1$	$e\left(\frac{205}{294}\right)$	$e\left(\frac{65}{294}\right)$	$e\left(\frac{58}{147}\right)$	$e\left(\frac{157}{294}\right)$	$e\left(\frac{71}{98}\right)$	$e\left(\frac{45}{49}\right)$	$e\left(\frac{137}{147}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{52}{147}\right)$	$e\left(\frac{65}{147}\right)$