Dirichlet character \(\chi_{1573}(1029,\cdot)\)

• Label: 1573.1029
• Modulus: $1573$
• Conductor: $1573$
• Order: $660$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1573\)
Conductor:	\(1573\)
Order:	\(660\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1573.bv

\(\chi_{1573}(2,\cdot)\) \(\chi_{1573}(6,\cdot)\) \(\chi_{1573}(7,\cdot)\) \(\chi_{1573}(19,\cdot)\) \(\chi_{1573}(24,\cdot)\) \(\chi_{1573}(28,\cdot)\) \(\chi_{1573}(41,\cdot)\) \(\chi_{1573}(46,\cdot)\) \(\chi_{1573}(50,\cdot)\) \(\chi_{1573}(63,\cdot)\) \(\chi_{1573}(72,\cdot)\) \(\chi_{1573}(84,\cdot)\) \(\chi_{1573}(85,\cdot)\) \(\chi_{1573}(106,\cdot)\) \(\chi_{1573}(123,\cdot)\) \(\chi_{1573}(128,\cdot)\) \(\chi_{1573}(145,\cdot)\) \(\chi_{1573}(149,\cdot)\) \(\chi_{1573}(150,\cdot)\) \(\chi_{1573}(162,\cdot)\) \(\chi_{1573}(167,\cdot)\) \(\chi_{1573}(171,\cdot)\) \(\chi_{1573}(184,\cdot)\) \(\chi_{1573}(189,\cdot)\) \(\chi_{1573}(193,\cdot)\) \(\chi_{1573}(206,\cdot)\) \(\chi_{1573}(227,\cdot)\) \(\chi_{1573}(228,\cdot)\) \(\chi_{1573}(249,\cdot)\) \(\chi_{1573}(266,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{660})$
Fixed field:	Number field defined by a degree 660 polynomial (not computed)

Values on generators

\((365,1211)\) → \((e\left(\frac{109}{110}\right),e\left(\frac{1}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 1573 }(1029, a) \)	\(1\)	\(1\)	\(e\left(\frac{49}{660}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{17}{220}\right)\)	\(e\left(\frac{401}{660}\right)\)	\(e\left(\frac{563}{660}\right)\)	\(e\left(\frac{49}{220}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{15}{22}\right)\)