Basic properties
| Modulus: | \(3525\) | |
| Conductor: | \(235\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(46\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{235}(124,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | no | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3525.bf
\(\chi_{3525}(124,\cdot)\) \(\chi_{3525}(199,\cdot)\) \(\chi_{3525}(274,\cdot)\) \(\chi_{3525}(349,\cdot)\) \(\chi_{3525}(499,\cdot)\) \(\chi_{3525}(574,\cdot)\) \(\chi_{3525}(649,\cdot)\) \(\chi_{3525}(724,\cdot)\) \(\chi_{3525}(1549,\cdot)\) \(\chi_{3525}(1624,\cdot)\) \(\chi_{3525}(1774,\cdot)\) \(\chi_{3525}(1924,\cdot)\) \(\chi_{3525}(2224,\cdot)\) \(\chi_{3525}(2299,\cdot)\) \(\chi_{3525}(2449,\cdot)\) \(\chi_{3525}(2524,\cdot)\) \(\chi_{3525}(2749,\cdot)\) \(\chi_{3525}(2974,\cdot)\) \(\chi_{3525}(3049,\cdot)\) \(\chi_{3525}(3124,\cdot)\) \(\chi_{3525}(3274,\cdot)\) \(\chi_{3525}(3424,\cdot)\)
Related number fields
| Field of values: | \(\Q(\zeta_{23})\) |
| Fixed field: | 46.0.20927324417353262576794873573459132405730192352302940670222843367282253010356426239013671875.1 |
Values on generators
\((2351,1552,2026)\) → \((1,-1,e\left(\frac{39}{46}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 3525 }(124, a) \) | \(-1\) | \(1\) | \(e\left(\frac{35}{46}\right)\) | \(e\left(\frac{12}{23}\right)\) | \(e\left(\frac{29}{46}\right)\) | \(e\left(\frac{13}{46}\right)\) | \(e\left(\frac{43}{46}\right)\) | \(e\left(\frac{19}{23}\right)\) | \(e\left(\frac{9}{23}\right)\) | \(e\left(\frac{1}{23}\right)\) | \(e\left(\frac{3}{46}\right)\) | \(e\left(\frac{7}{46}\right)\) |