Dirichlet character χ243675(56,⋅)\chi_{243675}(56,\cdot)

• Label: 243675.56
• Modulus: $243675$
• Conductor: $243675$
• Order: $1710$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$243675$
Conductor:	$243675$
Order:	$1710$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 243675.bbn

$\chi_{243675}(56,\cdot)$ $\chi_{243675}(911,\cdot)$ $\chi_{243675}(1481,\cdot)$ $\chi_{243675}(1766,\cdot)$ $\chi_{243675}(2336,\cdot)$ $\chi_{243675}(2621,\cdot)$ $\chi_{243675}(3191,\cdot)$ $\chi_{243675}(4046,\cdot)$ $\chi_{243675}(5186,\cdot)$ $\chi_{243675}(5756,\cdot)$ $\chi_{243675}(6041,\cdot)$ $\chi_{243675}(6611,\cdot)$ $\chi_{243675}(6896,\cdot)$ $\chi_{243675}(7466,\cdot)$ $\chi_{243675}(8321,\cdot)$ $\chi_{243675}(8606,\cdot)$ $\chi_{243675}(9461,\cdot)$ $\chi_{243675}(10031,\cdot)$ $\chi_{243675}(10316,\cdot)$ $\chi_{243675}(10886,\cdot)$ $\chi_{243675}(11171,\cdot)$ $\chi_{243675}(11741,\cdot)$ $\chi_{243675}(12596,\cdot)$ $\chi_{243675}(12881,\cdot)$ $\chi_{243675}(13736,\cdot)$ $\chi_{243675}(14306,\cdot)$ $\chi_{243675}(14591,\cdot)$ $\chi_{243675}(15446,\cdot)$ $\chi_{243675}(16016,\cdot)$ $\chi_{243675}(16871,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{855})$
Fixed field:	Number field defined by a degree 1710 polynomial (not computed)

Values on generators

$(36101,77977,129601)$ → $(e\left(\frac{1}{18}\right),e\left(\frac{2}{5}\right),e\left(\frac{17}{38}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 243675 }(56, a)$	$1$	$1$	$e\left(\frac{772}{855}\right)$	$e\left(\frac{689}{855}\right)$	$e\left(\frac{170}{171}\right)$	$e\left(\frac{202}{285}\right)$	$e\left(\frac{1289}{1710}\right)$	$e\left(\frac{391}{1710}\right)$	$e\left(\frac{767}{855}\right)$	$e\left(\frac{523}{855}\right)$	$e\left(\frac{79}{570}\right)$	$e\left(\frac{1123}{1710}\right)$