Dirichlet character \(\chi_{1225}(16,\cdot)\)

• Label: 1225.16
• Modulus: $1225$
• Conductor: $1225$
• Order: $105$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1225\)
Conductor:	\(1225\)
Order:	\(105\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1225.bo

\(\chi_{1225}(11,\cdot)\) \(\chi_{1225}(16,\cdot)\) \(\chi_{1225}(46,\cdot)\) \(\chi_{1225}(81,\cdot)\) \(\chi_{1225}(86,\cdot)\) \(\chi_{1225}(121,\cdot)\) \(\chi_{1225}(156,\cdot)\) \(\chi_{1225}(186,\cdot)\) \(\chi_{1225}(191,\cdot)\) \(\chi_{1225}(221,\cdot)\) \(\chi_{1225}(256,\cdot)\) \(\chi_{1225}(261,\cdot)\) \(\chi_{1225}(291,\cdot)\) \(\chi_{1225}(296,\cdot)\) \(\chi_{1225}(331,\cdot)\) \(\chi_{1225}(366,\cdot)\) \(\chi_{1225}(396,\cdot)\) \(\chi_{1225}(431,\cdot)\) \(\chi_{1225}(436,\cdot)\) \(\chi_{1225}(466,\cdot)\) \(\chi_{1225}(506,\cdot)\) \(\chi_{1225}(536,\cdot)\) \(\chi_{1225}(541,\cdot)\) \(\chi_{1225}(571,\cdot)\) \(\chi_{1225}(611,\cdot)\) \(\chi_{1225}(641,\cdot)\) \(\chi_{1225}(646,\cdot)\) \(\chi_{1225}(681,\cdot)\) \(\chi_{1225}(711,\cdot)\) \(\chi_{1225}(746,\cdot)\) ...

Related number fields

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

Values on generators

\((1177,101)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{10}{21}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)	\(16\)
\( \chi_{ 1225 }(16, a) \)	\(1\)	\(1\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{92}{105}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{79}{105}\right)\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{34}{105}\right)\)