Basic properties
| Modulus: | \(801\) | |
| Conductor: | \(801\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(132\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 801.bd
\(\chi_{801}(40,\cdot)\) \(\chi_{801}(49,\cdot)\) \(\chi_{801}(79,\cdot)\) \(\chi_{801}(94,\cdot)\) \(\chi_{801}(106,\cdot)\) \(\chi_{801}(142,\cdot)\) \(\chi_{801}(157,\cdot)\) \(\chi_{801}(160,\cdot)\) \(\chi_{801}(169,\cdot)\) \(\chi_{801}(187,\cdot)\) \(\chi_{801}(196,\cdot)\) \(\chi_{801}(214,\cdot)\) \(\chi_{801}(220,\cdot)\) \(\chi_{801}(247,\cdot)\) \(\chi_{801}(250,\cdot)\) \(\chi_{801}(277,\cdot)\) \(\chi_{801}(346,\cdot)\) \(\chi_{801}(373,\cdot)\) \(\chi_{801}(376,\cdot)\) \(\chi_{801}(403,\cdot)\) \(\chi_{801}(409,\cdot)\) \(\chi_{801}(427,\cdot)\) \(\chi_{801}(436,\cdot)\) \(\chi_{801}(454,\cdot)\) \(\chi_{801}(463,\cdot)\) \(\chi_{801}(466,\cdot)\) \(\chi_{801}(481,\cdot)\) \(\chi_{801}(517,\cdot)\) \(\chi_{801}(529,\cdot)\) \(\chi_{801}(544,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{132})$ |
| Fixed field: | Number field defined by a degree 132 polynomial (not computed) |
Values on generators
\((713,181)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{25}{44}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(11\) | \(13\) | \(14\) | \(16\) |
| \( \chi_{ 801 }(250, a) \) | \(1\) | \(1\) | \(e\left(\frac{25}{33}\right)\) | \(e\left(\frac{17}{33}\right)\) | \(e\left(\frac{7}{66}\right)\) | \(e\left(\frac{91}{132}\right)\) | \(e\left(\frac{3}{11}\right)\) | \(e\left(\frac{19}{22}\right)\) | \(e\left(\frac{13}{33}\right)\) | \(e\left(\frac{53}{132}\right)\) | \(e\left(\frac{59}{132}\right)\) | \(e\left(\frac{1}{33}\right)\) |