Dirichlet character χ5400(937,⋅)\chi_{5400}(937,\cdot)

• Label: 5400.937
• Modulus: $5400$
• Conductor: $225$
• Order: $60$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$5400$
Conductor:	$225$
Order:	$60$
Real:	no
Primitive:	no, induced from $\chi_{225}(187,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 5400.ep

$\chi_{5400}(73,\cdot)$ $\chi_{5400}(577,\cdot)$ $\chi_{5400}(937,\cdot)$ $\chi_{5400}(1153,\cdot)$ $\chi_{5400}(1873,\cdot)$ $\chi_{5400}(2017,\cdot)$ $\chi_{5400}(2233,\cdot)$ $\chi_{5400}(2737,\cdot)$ $\chi_{5400}(2953,\cdot)$ $\chi_{5400}(3097,\cdot)$ $\chi_{5400}(3313,\cdot)$ $\chi_{5400}(3817,\cdot)$ $\chi_{5400}(4033,\cdot)$ $\chi_{5400}(4177,\cdot)$ $\chi_{5400}(4897,\cdot)$ $\chi_{5400}(5113,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{60})$
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

$(1351,2701,1001,2377)$ → $(1,1,e\left(\frac{2}{3}\right),e\left(\frac{9}{20}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 5400 }(937, a)$	$-1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{2}{15}\right)$