Basic properties
| Modulus: | \(3525\) | |
| Conductor: | \(141\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(46\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{141}(101,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3525.bd
\(\chi_{3525}(101,\cdot)\) \(\chi_{3525}(251,\cdot)\) \(\chi_{3525}(401,\cdot)\) \(\chi_{3525}(476,\cdot)\) \(\chi_{3525}(551,\cdot)\) \(\chi_{3525}(776,\cdot)\) \(\chi_{3525}(1001,\cdot)\) \(\chi_{3525}(1076,\cdot)\) \(\chi_{3525}(1226,\cdot)\) \(\chi_{3525}(1301,\cdot)\) \(\chi_{3525}(1601,\cdot)\) \(\chi_{3525}(1751,\cdot)\) \(\chi_{3525}(1901,\cdot)\) \(\chi_{3525}(1976,\cdot)\) \(\chi_{3525}(2801,\cdot)\) \(\chi_{3525}(2876,\cdot)\) \(\chi_{3525}(2951,\cdot)\) \(\chi_{3525}(3026,\cdot)\) \(\chi_{3525}(3176,\cdot)\) \(\chi_{3525}(3251,\cdot)\) \(\chi_{3525}(3326,\cdot)\) \(\chi_{3525}(3401,\cdot)\)
Related number fields
| Field of values: | \(\Q(\zeta_{23})\) |
| Fixed field: | 46.0.3516370336176915030779886015601767871077707157889593350075735586626118367196692091787.1 |
Values on generators
\((2351,1552,2026)\) → \((-1,1,e\left(\frac{16}{23}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 3525 }(101, a) \) | \(-1\) | \(1\) | \(e\left(\frac{1}{46}\right)\) | \(e\left(\frac{1}{23}\right)\) | \(e\left(\frac{6}{23}\right)\) | \(e\left(\frac{3}{46}\right)\) | \(e\left(\frac{17}{46}\right)\) | \(e\left(\frac{15}{23}\right)\) | \(e\left(\frac{13}{46}\right)\) | \(e\left(\frac{2}{23}\right)\) | \(e\left(\frac{29}{46}\right)\) | \(e\left(\frac{7}{23}\right)\) |