Dirichlet character orbit 243675.bey

• Label: 243675.bey
• Modulus: $243675$
• Conductor: $27075$
• Order: $3420$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$243675$
Conductor:	$27075$
Order:	$3420$
Real:	no
Primitive:	no, induced from 27075.fn
Minimal:	yes
Parity:	odd

Related number fields

Field of values:	$\Q(\zeta_{3420})$
Fixed field:	Number field defined by a degree 3420 polynomial (not computed)

First 4 of 864 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{243675}(53,\cdot)$	$-1$	$1$	$e\left(\frac{317}{3420}\right)$	$e\left(\frac{317}{1710}\right)$	$e\left(\frac{35}{228}\right)$	$e\left(\frac{317}{1140}\right)$	$e\left(\frac{487}{570}\right)$	$e\left(\frac{1693}{3420}\right)$	$e\left(\frac{421}{1710}\right)$	$e\left(\frac{317}{855}\right)$	$e\left(\frac{3071}{3420}\right)$	$e\left(\frac{3239}{3420}\right)$
$\chi_{243675}(242,\cdot)$	$-1$	$1$	$e\left(\frac{2563}{3420}\right)$	$e\left(\frac{853}{1710}\right)$	$e\left(\frac{37}{228}\right)$	$e\left(\frac{283}{1140}\right)$	$e\left(\frac{23}{570}\right)$	$e\left(\frac{1907}{3420}\right)$	$e\left(\frac{1559}{1710}\right)$	$e\left(\frac{853}{855}\right)$	$e\left(\frac{1429}{3420}\right)$	$e\left(\frac{2701}{3420}\right)$
$\chi_{243675}(458,\cdot)$	$-1$	$1$	$e\left(\frac{2953}{3420}\right)$	$e\left(\frac{1243}{1710}\right)$	$e\left(\frac{175}{228}\right)$	$e\left(\frac{673}{1140}\right)$	$e\left(\frac{383}{570}\right)$	$e\left(\frac{257}{3420}\right)$	$e\left(\frac{1079}{1710}\right)$	$e\left(\frac{388}{855}\right)$	$e\left(\frac{2359}{3420}\right)$	$e\left(\frac{1831}{3420}\right)$
$\chi_{243675}(998,\cdot)$	$-1$	$1$	$e\left(\frac{3041}{3420}\right)$	$e\left(\frac{1331}{1710}\right)$	$e\left(\frac{143}{228}\right)$	$e\left(\frac{761}{1140}\right)$	$e\left(\frac{511}{570}\right)$	$e\left(\frac{1849}{3420}\right)$	$e\left(\frac{883}{1710}\right)$	$e\left(\frac{476}{855}\right)$	$e\left(\frac{1043}{3420}\right)$	$e\left(\frac{2687}{3420}\right)$