Basic properties
Modulus: | \(191\) | |
Conductor: | \(191\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(190\) | 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 191.h
\(\chi_{191}(19,\cdot)\) \(\chi_{191}(21,\cdot)\) \(\chi_{191}(22,\cdot)\) \(\chi_{191}(28,\cdot)\) \(\chi_{191}(29,\cdot)\) \(\chi_{191}(33,\cdot)\) \(\chi_{191}(35,\cdot)\) \(\chi_{191}(42,\cdot)\) \(\chi_{191}(44,\cdot)\) \(\chi_{191}(47,\cdot)\) \(\chi_{191}(53,\cdot)\) \(\chi_{191}(56,\cdot)\) \(\chi_{191}(57,\cdot)\) \(\chi_{191}(58,\cdot)\) \(\chi_{191}(61,\cdot)\) \(\chi_{191}(62,\cdot)\) \(\chi_{191}(63,\cdot)\) \(\chi_{191}(71,\cdot)\) \(\chi_{191}(73,\cdot)\) \(\chi_{191}(74,\cdot)\) \(\chi_{191}(76,\cdot)\) \(\chi_{191}(83,\cdot)\) \(\chi_{191}(87,\cdot)\) \(\chi_{191}(88,\cdot)\) \(\chi_{191}(89,\cdot)\) \(\chi_{191}(91,\cdot)\) \(\chi_{191}(93,\cdot)\) \(\chi_{191}(94,\cdot)\) \(\chi_{191}(95,\cdot)\) \(\chi_{191}(99,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{95})$ |
Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\(19\) → \(e\left(\frac{33}{190}\right)\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 191 }(29, a) \) | \(-1\) | \(1\) | \(e\left(\frac{61}{95}\right)\) | \(e\left(\frac{14}{95}\right)\) | \(e\left(\frac{27}{95}\right)\) | \(e\left(\frac{13}{19}\right)\) | \(e\left(\frac{15}{19}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{88}{95}\right)\) | \(e\left(\frac{28}{95}\right)\) | \(e\left(\frac{31}{95}\right)\) | \(e\left(\frac{29}{38}\right)\) |