Basic properties
Modulus: | \(3525\) | |
Conductor: | \(3525\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(460\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3525.bv
\(\chi_{3525}(23,\cdot)\) \(\chi_{3525}(38,\cdot)\) \(\chi_{3525}(62,\cdot)\) \(\chi_{3525}(77,\cdot)\) \(\chi_{3525}(92,\cdot)\) \(\chi_{3525}(113,\cdot)\) \(\chi_{3525}(137,\cdot)\) \(\chi_{3525}(152,\cdot)\) \(\chi_{3525}(167,\cdot)\) \(\chi_{3525}(203,\cdot)\) \(\chi_{3525}(227,\cdot)\) \(\chi_{3525}(233,\cdot)\) \(\chi_{3525}(248,\cdot)\) \(\chi_{3525}(278,\cdot)\) \(\chi_{3525}(287,\cdot)\) \(\chi_{3525}(302,\cdot)\) \(\chi_{3525}(308,\cdot)\) \(\chi_{3525}(317,\cdot)\) \(\chi_{3525}(323,\cdot)\) \(\chi_{3525}(362,\cdot)\) \(\chi_{3525}(398,\cdot)\) \(\chi_{3525}(428,\cdot)\) \(\chi_{3525}(452,\cdot)\) \(\chi_{3525}(458,\cdot)\) \(\chi_{3525}(467,\cdot)\) \(\chi_{3525}(503,\cdot)\) \(\chi_{3525}(527,\cdot)\) \(\chi_{3525}(548,\cdot)\) \(\chi_{3525}(587,\cdot)\) \(\chi_{3525}(602,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{460})$ |
Fixed field: | Number field defined by a degree 460 polynomial (not computed) |
Values on generators
\((2351,1552,2026)\) → \((-1,e\left(\frac{11}{20}\right),e\left(\frac{5}{46}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 3525 }(23, a) \) | \(-1\) | \(1\) | \(e\left(\frac{3}{460}\right)\) | \(e\left(\frac{3}{230}\right)\) | \(e\left(\frac{21}{92}\right)\) | \(e\left(\frac{9}{460}\right)\) | \(e\left(\frac{7}{115}\right)\) | \(e\left(\frac{297}{460}\right)\) | \(e\left(\frac{27}{115}\right)\) | \(e\left(\frac{3}{115}\right)\) | \(e\left(\frac{179}{460}\right)\) | \(e\left(\frac{91}{115}\right)\) |