Dirichlet character \(\chi_{44100}(29027,\cdot)\)

• Label: 44100.29027
• Modulus: $44100$
• Conductor: $6300$
• Order: $60$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	\(44100\)
Conductor:	\(6300\)
Order:	\(60\)
Real:	no
Primitive:	no, induced from \(\chi_{6300}(3827,\cdot)\)
Minimal:	no
Parity:	even

Galois orbit 44100.lm

\(\chi_{44100}(803,\cdot)\) \(\chi_{44100}(2567,\cdot)\) \(\chi_{44100}(9623,\cdot)\) \(\chi_{44100}(11387,\cdot)\) \(\chi_{44100}(13163,\cdot)\) \(\chi_{44100}(14927,\cdot)\) \(\chi_{44100}(21983,\cdot)\) \(\chi_{44100}(23747,\cdot)\) \(\chi_{44100}(27263,\cdot)\) \(\chi_{44100}(29027,\cdot)\) \(\chi_{44100}(30803,\cdot)\) \(\chi_{44100}(32567,\cdot)\) \(\chi_{44100}(36083,\cdot)\) \(\chi_{44100}(37847,\cdot)\) \(\chi_{44100}(39623,\cdot)\) \(\chi_{44100}(41387,\cdot)\)

Related number fields

Field of values:	\(\Q(\zeta_{60})\)
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

\((22051,34301,15877,9901)\) → \((-1,e\left(\frac{1}{6}\right),e\left(\frac{1}{20}\right),e\left(\frac{5}{6}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\( \chi_{ 44100 }(29027, a) \)	\(1\)	\(1\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{11}{12}\right)\)