Dirichlet character \(\chi_{5175}(128,\cdot)\)

• Label: 5175.128
• Modulus: $5175$
• Conductor: $5175$
• Order: $660$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5175\)
Conductor:	\(5175\)
Order:	\(660\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 5175.dq

\(\chi_{5175}(2,\cdot)\) \(\chi_{5175}(77,\cdot)\) \(\chi_{5175}(128,\cdot)\) \(\chi_{5175}(167,\cdot)\) \(\chi_{5175}(173,\cdot)\) \(\chi_{5175}(248,\cdot)\) \(\chi_{5175}(302,\cdot)\) \(\chi_{5175}(308,\cdot)\) \(\chi_{5175}(317,\cdot)\) \(\chi_{5175}(338,\cdot)\) \(\chi_{5175}(347,\cdot)\) \(\chi_{5175}(353,\cdot)\) \(\chi_{5175}(473,\cdot)\) \(\chi_{5175}(533,\cdot)\) \(\chi_{5175}(542,\cdot)\) \(\chi_{5175}(578,\cdot)\) \(\chi_{5175}(587,\cdot)\) \(\chi_{5175}(623,\cdot)\) \(\chi_{5175}(653,\cdot)\) \(\chi_{5175}(662,\cdot)\) \(\chi_{5175}(698,\cdot)\) \(\chi_{5175}(722,\cdot)\) \(\chi_{5175}(752,\cdot)\) \(\chi_{5175}(767,\cdot)\) \(\chi_{5175}(788,\cdot)\) \(\chi_{5175}(878,\cdot)\) \(\chi_{5175}(887,\cdot)\) \(\chi_{5175}(923,\cdot)\) \(\chi_{5175}(938,\cdot)\) \(\chi_{5175}(947,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{660})$
Fixed field:	Number field defined by a degree 660 polynomial (not computed)

Values on generators

\((4601,3727,2926)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{7}{20}\right),e\left(\frac{7}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 5175 }(128, a) \)	\(1\)	\(1\)	\(e\left(\frac{521}{660}\right)\)	\(e\left(\frac{191}{330}\right)\)	\(e\left(\frac{67}{132}\right)\)	\(e\left(\frac{81}{220}\right)\)	\(e\left(\frac{163}{330}\right)\)	\(e\left(\frac{589}{660}\right)\)	\(e\left(\frac{49}{165}\right)\)	\(e\left(\frac{26}{165}\right)\)	\(e\left(\frac{111}{220}\right)\)	\(e\left(\frac{93}{110}\right)\)