Dirichlet character \(\chi_{6025}(213,\cdot)\)

• Label: 6025.213
• Modulus: $6025$
• Conductor: $6025$
• Order: $80$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6025\)
Conductor:	\(6025\)
Order:	\(80\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6025.ht

\(\chi_{6025}(213,\cdot)\) \(\chi_{6025}(508,\cdot)\) \(\chi_{6025}(1278,\cdot)\) \(\chi_{6025}(1353,\cdot)\) \(\chi_{6025}(1827,\cdot)\) \(\chi_{6025}(2433,\cdot)\) \(\chi_{6025}(2438,\cdot)\) \(\chi_{6025}(2467,\cdot)\) \(\chi_{6025}(2503,\cdot)\) \(\chi_{6025}(2548,\cdot)\) \(\chi_{6025}(2578,\cdot)\) \(\chi_{6025}(2672,\cdot)\) \(\chi_{6025}(2752,\cdot)\) \(\chi_{6025}(3048,\cdot)\) \(\chi_{6025}(3238,\cdot)\) \(\chi_{6025}(3272,\cdot)\) \(\chi_{6025}(3317,\cdot)\) \(\chi_{6025}(3833,\cdot)\) \(\chi_{6025}(4423,\cdot)\) \(\chi_{6025}(4462,\cdot)\) \(\chi_{6025}(4562,\cdot)\) \(\chi_{6025}(4777,\cdot)\) \(\chi_{6025}(4837,\cdot)\) \(\chi_{6025}(4922,\cdot)\) \(\chi_{6025}(4923,\cdot)\) \(\chi_{6025}(4937,\cdot)\) \(\chi_{6025}(5438,\cdot)\) \(\chi_{6025}(5522,\cdot)\) \(\chi_{6025}(5758,\cdot)\) \(\chi_{6025}(5817,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{80})$
Fixed field:	Number field defined by a degree 80 polynomial

Values on generators

\((2652,2176)\) → \((e\left(\frac{19}{20}\right),e\left(\frac{7}{80}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 6025 }(213, a) \)	\(1\)	\(1\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{67}{80}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{13}{80}\right)\)