Dirichlet character \(\chi_{9075}(6221,\cdot)\)

• Label: 9075.6221
• Modulus: $9075$
• Conductor: $9075$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(9075\)
Conductor:	\(9075\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 9075.dz

\(\chi_{9075}(41,\cdot)\) \(\chi_{9075}(431,\cdot)\) \(\chi_{9075}(446,\cdot)\) \(\chi_{9075}(866,\cdot)\) \(\chi_{9075}(986,\cdot)\) \(\chi_{9075}(1256,\cdot)\) \(\chi_{9075}(1271,\cdot)\) \(\chi_{9075}(1811,\cdot)\) \(\chi_{9075}(2081,\cdot)\) \(\chi_{9075}(2096,\cdot)\) \(\chi_{9075}(2516,\cdot)\) \(\chi_{9075}(2636,\cdot)\) \(\chi_{9075}(2906,\cdot)\) \(\chi_{9075}(2921,\cdot)\) \(\chi_{9075}(3341,\cdot)\) \(\chi_{9075}(3461,\cdot)\) \(\chi_{9075}(3731,\cdot)\) \(\chi_{9075}(3746,\cdot)\) \(\chi_{9075}(4166,\cdot)\) \(\chi_{9075}(4286,\cdot)\) \(\chi_{9075}(4556,\cdot)\) \(\chi_{9075}(4991,\cdot)\) \(\chi_{9075}(5111,\cdot)\) \(\chi_{9075}(5381,\cdot)\) \(\chi_{9075}(5396,\cdot)\) \(\chi_{9075}(5816,\cdot)\) \(\chi_{9075}(5936,\cdot)\) \(\chi_{9075}(6206,\cdot)\) \(\chi_{9075}(6221,\cdot)\) \(\chi_{9075}(6641,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

\((3026,727,5326)\) → \((-1,e\left(\frac{3}{5}\right),e\left(\frac{39}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)	\(23\)
\( \chi_{ 9075 }(6221, a) \)	\(1\)	\(1\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{101}{110}\right)\)