Basic properties
| Modulus: | \(834\) | |
| Conductor: | \(417\) |
|
| Order: | \(46\) |
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{417}(251,\cdot)\) |
|
| Minimal: | yes | |
| Parity: | odd |
|
Galois orbit 834.l
\(\chi_{834}(65,\cdot)\) \(\chi_{834}(77,\cdot)\) \(\chi_{834}(125,\cdot)\) \(\chi_{834}(131,\cdot)\) \(\chi_{834}(173,\cdot)\) \(\chi_{834}(191,\cdot)\) \(\chi_{834}(203,\cdot)\) \(\chi_{834}(239,\cdot)\) \(\chi_{834}(245,\cdot)\) \(\chi_{834}(251,\cdot)\) \(\chi_{834}(323,\cdot)\) \(\chi_{834}(335,\cdot)\) \(\chi_{834}(341,\cdot)\) \(\chi_{834}(407,\cdot)\) \(\chi_{834}(461,\cdot)\) \(\chi_{834}(497,\cdot)\) \(\chi_{834}(533,\cdot)\) \(\chi_{834}(611,\cdot)\) \(\chi_{834}(635,\cdot)\) \(\chi_{834}(647,\cdot)\) \(\chi_{834}(701,\cdot)\) \(\chi_{834}(731,\cdot)\)
Related number fields
| Field of values: | \(\Q(\zeta_{23})\) |
| Fixed field: | 46.0.1846885917150184816801956108608187290274879518836200811774628627713584413482455417169884083661381807955707.1 |
Values on generators
\((557,697)\) → \((-1,e\left(\frac{9}{23}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(5\) | \(7\) | \(11\) | \(13\) | \(17\) | \(19\) | \(23\) | \(25\) | \(29\) | \(31\) |
| \( \chi_{ 834 }(251, a) \) | \(-1\) | \(1\) | \(e\left(\frac{7}{46}\right)\) | \(e\left(\frac{13}{23}\right)\) | \(e\left(\frac{11}{46}\right)\) | \(e\left(\frac{1}{23}\right)\) | \(e\left(\frac{17}{46}\right)\) | \(e\left(\frac{20}{23}\right)\) | \(e\left(\frac{3}{46}\right)\) | \(e\left(\frac{7}{23}\right)\) | \(e\left(\frac{13}{46}\right)\) | \(e\left(\frac{21}{23}\right)\) |