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: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 801.bf
\(\chi_{801}(7,\cdot)\) \(\chi_{801}(13,\cdot)\) \(\chi_{801}(31,\cdot)\) \(\chi_{801}(43,\cdot)\) \(\chi_{801}(58,\cdot)\) \(\chi_{801}(61,\cdot)\) \(\chi_{801}(70,\cdot)\) \(\chi_{801}(76,\cdot)\) \(\chi_{801}(103,\cdot)\) \(\chi_{801}(112,\cdot)\) \(\chi_{801}(115,\cdot)\) \(\chi_{801}(124,\cdot)\) \(\chi_{801}(130,\cdot)\) \(\chi_{801}(148,\cdot)\) \(\chi_{801}(151,\cdot)\) \(\chi_{801}(175,\cdot)\) \(\chi_{801}(184,\cdot)\) \(\chi_{801}(193,\cdot)\) \(\chi_{801}(202,\cdot)\) \(\chi_{801}(205,\cdot)\) \(\chi_{801}(211,\cdot)\) \(\chi_{801}(229,\cdot)\) \(\chi_{801}(232,\cdot)\) \(\chi_{801}(238,\cdot)\) \(\chi_{801}(241,\cdot)\) \(\chi_{801}(274,\cdot)\) \(\chi_{801}(286,\cdot)\) \(\chi_{801}(295,\cdot)\) \(\chi_{801}(310,\cdot)\) \(\chi_{801}(313,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{264})$ |
Fixed field: | Number field defined by a degree 264 polynomial (not computed) |
Values on generators
\((713,181)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{31}{88}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(11\) | \(13\) | \(14\) | \(16\) |
\( \chi_{ 801 }(31, a) \) | \(-1\) | \(1\) | \(e\left(\frac{32}{33}\right)\) | \(e\left(\frac{31}{33}\right)\) | \(e\left(\frac{43}{132}\right)\) | \(e\left(\frac{229}{264}\right)\) | \(e\left(\frac{10}{11}\right)\) | \(e\left(\frac{13}{44}\right)\) | \(e\left(\frac{61}{66}\right)\) | \(e\left(\frac{203}{264}\right)\) | \(e\left(\frac{221}{264}\right)\) | \(e\left(\frac{29}{33}\right)\) |