Dirichlet character \(\chi_{1225}(739,\cdot)\)

• Label: 1225.739
• Modulus: $1225$
• Conductor: $1225$
• Order: $210$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1225\)
Conductor:	\(1225\)
Order:	\(210\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1225.bt

\(\chi_{1225}(4,\cdot)\) \(\chi_{1225}(9,\cdot)\) \(\chi_{1225}(39,\cdot)\) \(\chi_{1225}(44,\cdot)\) \(\chi_{1225}(109,\cdot)\) \(\chi_{1225}(114,\cdot)\) \(\chi_{1225}(144,\cdot)\) \(\chi_{1225}(179,\cdot)\) \(\chi_{1225}(184,\cdot)\) \(\chi_{1225}(219,\cdot)\) \(\chi_{1225}(254,\cdot)\) \(\chi_{1225}(284,\cdot)\) \(\chi_{1225}(289,\cdot)\) \(\chi_{1225}(319,\cdot)\) \(\chi_{1225}(354,\cdot)\) \(\chi_{1225}(359,\cdot)\) \(\chi_{1225}(389,\cdot)\) \(\chi_{1225}(394,\cdot)\) \(\chi_{1225}(429,\cdot)\) \(\chi_{1225}(464,\cdot)\) \(\chi_{1225}(494,\cdot)\) \(\chi_{1225}(529,\cdot)\) \(\chi_{1225}(534,\cdot)\) \(\chi_{1225}(564,\cdot)\) \(\chi_{1225}(604,\cdot)\) \(\chi_{1225}(634,\cdot)\) \(\chi_{1225}(639,\cdot)\) \(\chi_{1225}(669,\cdot)\) \(\chi_{1225}(709,\cdot)\) \(\chi_{1225}(739,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{105})$
Fixed field:	Number field defined by a degree 210 polynomial (not computed)

Values on generators

\((1177,101)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{5}{21}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)	\(16\)
\( \chi_{ 1225 }(739, a) \)	\(1\)	\(1\)	\(e\left(\frac{103}{210}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{103}{105}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{33}{70}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{34}{105}\right)\)	\(e\left(\frac{67}{210}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{101}{105}\right)\)