Dirichlet character orbit 731025.bsz

• Label: 731025.bsz
• Modulus: $731025$
• Conductor: $731025$
• Order: $5130$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$731025$
Conductor:	$731025$
Order:	$5130$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{2565})$
Fixed field:	Number field defined by a degree 5130 polynomial (not computed)

First 4 of 1296 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{731025}(41,\cdot)$	$1$	$1$	$e\left(\frac{968}{2565}\right)$	$e\left(\frac{1936}{2565}\right)$	$e\left(\frac{46}{513}\right)$	$e\left(\frac{113}{855}\right)$	$e\left(\frac{4831}{5130}\right)$	$e\left(\frac{539}{5130}\right)$	$e\left(\frac{1198}{2565}\right)$	$e\left(\frac{1307}{2565}\right)$	$e\left(\frac{451}{1710}\right)$	$e\left(\frac{1637}{5130}\right)$
$\chi_{731025}(281,\cdot)$	$1$	$1$	$e\left(\frac{1276}{2565}\right)$	$e\left(\frac{2552}{2565}\right)$	$e\left(\frac{14}{513}\right)$	$e\left(\frac{421}{855}\right)$	$e\left(\frac{2987}{5130}\right)$	$e\left(\frac{1993}{5130}\right)$	$e\left(\frac{1346}{2565}\right)$	$e\left(\frac{2539}{2565}\right)$	$e\left(\frac{167}{1710}\right)$	$e\left(\frac{409}{5130}\right)$
$\chi_{731025}(356,\cdot)$	$1$	$1$	$e\left(\frac{1721}{2565}\right)$	$e\left(\frac{877}{2565}\right)$	$e\left(\frac{121}{513}\right)$	$e\left(\frac{11}{855}\right)$	$e\left(\frac{4087}{5130}\right)$	$e\left(\frac{113}{5130}\right)$	$e\left(\frac{2326}{2565}\right)$	$e\left(\frac{1754}{2565}\right)$	$e\left(\frac{967}{1710}\right)$	$e\left(\frac{2399}{5130}\right)$
$\chi_{731025}(371,\cdot)$	$1$	$1$	$e\left(\frac{1054}{2565}\right)$	$e\left(\frac{2108}{2565}\right)$	$e\left(\frac{137}{513}\right)$	$e\left(\frac{199}{855}\right)$	$e\left(\frac{3983}{5130}\right)$	$e\left(\frac{2977}{5130}\right)$	$e\left(\frac{1739}{2565}\right)$	$e\left(\frac{1651}{2565}\right)$	$e\left(\frac{83}{1710}\right)$	$e\left(\frac{961}{5130}\right)$