Dirichlet character \(\chi_{11025}(6871,\cdot)\)

• Label: 11025.6871
• Modulus: $11025$
• Conductor: $11025$
• Order: $105$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(11025\)
Conductor:	\(11025\)
Order:	\(105\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 11025.hi

\(\chi_{11025}(16,\cdot)\) \(\chi_{11025}(256,\cdot)\) \(\chi_{11025}(331,\cdot)\) \(\chi_{11025}(571,\cdot)\) \(\chi_{11025}(646,\cdot)\) \(\chi_{11025}(886,\cdot)\) \(\chi_{11025}(1516,\cdot)\) \(\chi_{11025}(1591,\cdot)\) \(\chi_{11025}(1906,\cdot)\) \(\chi_{11025}(2146,\cdot)\) \(\chi_{11025}(2221,\cdot)\) \(\chi_{11025}(2461,\cdot)\) \(\chi_{11025}(2536,\cdot)\) \(\chi_{11025}(3091,\cdot)\) \(\chi_{11025}(3406,\cdot)\) \(\chi_{11025}(3481,\cdot)\) \(\chi_{11025}(3721,\cdot)\) \(\chi_{11025}(3796,\cdot)\) \(\chi_{11025}(4111,\cdot)\) \(\chi_{11025}(4666,\cdot)\) \(\chi_{11025}(4741,\cdot)\) \(\chi_{11025}(4981,\cdot)\) \(\chi_{11025}(5056,\cdot)\) \(\chi_{11025}(5296,\cdot)\) \(\chi_{11025}(5611,\cdot)\) \(\chi_{11025}(5686,\cdot)\) \(\chi_{11025}(6316,\cdot)\) \(\chi_{11025}(6556,\cdot)\) \(\chi_{11025}(6631,\cdot)\) \(\chi_{11025}(6871,\cdot)\) ...

Related number fields

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

Values on generators

\((1226,4852,9901)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{3}{5}\right),e\left(\frac{20}{21}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 11025 }(6871, a) \)	\(1\)	\(1\)	\(e\left(\frac{73}{105}\right)\)	\(e\left(\frac{41}{105}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{52}{105}\right)\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{64}{105}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{76}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)