Dirichlet character \(\chi_{1152}(925,\cdot)\)

• Label: 1152.925
• Modulus: $1152$
• Conductor: $1152$
• Order: $96$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1152\)
Conductor:	\(1152\)
Order:	\(96\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1152.bv

\(\chi_{1152}(13,\cdot)\) \(\chi_{1152}(61,\cdot)\) \(\chi_{1152}(85,\cdot)\) \(\chi_{1152}(133,\cdot)\) \(\chi_{1152}(157,\cdot)\) \(\chi_{1152}(205,\cdot)\) \(\chi_{1152}(229,\cdot)\) \(\chi_{1152}(277,\cdot)\) \(\chi_{1152}(301,\cdot)\) \(\chi_{1152}(349,\cdot)\) \(\chi_{1152}(373,\cdot)\) \(\chi_{1152}(421,\cdot)\) \(\chi_{1152}(445,\cdot)\) \(\chi_{1152}(493,\cdot)\) \(\chi_{1152}(517,\cdot)\) \(\chi_{1152}(565,\cdot)\) \(\chi_{1152}(589,\cdot)\) \(\chi_{1152}(637,\cdot)\) \(\chi_{1152}(661,\cdot)\) \(\chi_{1152}(709,\cdot)\) \(\chi_{1152}(733,\cdot)\) \(\chi_{1152}(781,\cdot)\) \(\chi_{1152}(805,\cdot)\) \(\chi_{1152}(853,\cdot)\) \(\chi_{1152}(877,\cdot)\) \(\chi_{1152}(925,\cdot)\) \(\chi_{1152}(949,\cdot)\) \(\chi_{1152}(997,\cdot)\) \(\chi_{1152}(1021,\cdot)\) \(\chi_{1152}(1069,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{96})$
Fixed field:	Number field defined by a degree 96 polynomial

Values on generators

\((127,901,641)\) → \((1,e\left(\frac{27}{32}\right),e\left(\frac{2}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\( \chi_{ 1152 }(925, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{96}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{37}{96}\right)\)	\(e\left(\frac{95}{96}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{13}{32}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{43}{96}\right)\)	\(e\left(\frac{1}{12}\right)\)