Basic properties
Modulus: | \(801\) | |
Conductor: | \(801\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(264\) | 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.be
\(\chi_{801}(14,\cdot)\) \(\chi_{801}(23,\cdot)\) \(\chi_{801}(29,\cdot)\) \(\chi_{801}(38,\cdot)\) \(\chi_{801}(41,\cdot)\) \(\chi_{801}(56,\cdot)\) \(\chi_{801}(59,\cdot)\) \(\chi_{801}(65,\cdot)\) \(\chi_{801}(74,\cdot)\) \(\chi_{801}(83,\cdot)\) \(\chi_{801}(86,\cdot)\) \(\chi_{801}(92,\cdot)\) \(\chi_{801}(95,\cdot)\) \(\chi_{801}(104,\cdot)\) \(\chi_{801}(113,\cdot)\) \(\chi_{801}(119,\cdot)\) \(\chi_{801}(122,\cdot)\) \(\chi_{801}(137,\cdot)\) \(\chi_{801}(140,\cdot)\) \(\chi_{801}(149,\cdot)\) \(\chi_{801}(155,\cdot)\) \(\chi_{801}(164,\cdot)\) \(\chi_{801}(185,\cdot)\) \(\chi_{801}(191,\cdot)\) \(\chi_{801}(209,\cdot)\) \(\chi_{801}(221,\cdot)\) \(\chi_{801}(236,\cdot)\) \(\chi_{801}(239,\cdot)\) \(\chi_{801}(248,\cdot)\) \(\chi_{801}(254,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{264})$ |
Fixed field: | Number field defined by a degree 264 polynomial (not computed) |
Values on generators
\((713,181)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{21}{88}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(11\) | \(13\) | \(14\) | \(16\) |
\( \chi_{ 801 }(41, a) \) | \(1\) | \(1\) | \(e\left(\frac{43}{66}\right)\) | \(e\left(\frac{10}{33}\right)\) | \(e\left(\frac{115}{132}\right)\) | \(e\left(\frac{175}{264}\right)\) | \(e\left(\frac{21}{22}\right)\) | \(e\left(\frac{23}{44}\right)\) | \(e\left(\frac{29}{33}\right)\) | \(e\left(\frac{41}{264}\right)\) | \(e\left(\frac{83}{264}\right)\) | \(e\left(\frac{20}{33}\right)\) |