Basic properties
Modulus: | \(801\) | |
Conductor: | \(267\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(88\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{267}(26,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 801.bb
\(\chi_{801}(26,\cdot)\) \(\chi_{801}(35,\cdot)\) \(\chi_{801}(62,\cdot)\) \(\chi_{801}(116,\cdot)\) \(\chi_{801}(143,\cdot)\) \(\chi_{801}(152,\cdot)\) \(\chi_{801}(197,\cdot)\) \(\chi_{801}(206,\cdot)\) \(\chi_{801}(224,\cdot)\) \(\chi_{801}(260,\cdot)\) \(\chi_{801}(296,\cdot)\) \(\chi_{801}(305,\cdot)\) \(\chi_{801}(323,\cdot)\) \(\chi_{801}(332,\cdot)\) \(\chi_{801}(341,\cdot)\) \(\chi_{801}(350,\cdot)\) \(\chi_{801}(359,\cdot)\) \(\chi_{801}(386,\cdot)\) \(\chi_{801}(404,\cdot)\) \(\chi_{801}(422,\cdot)\) \(\chi_{801}(431,\cdot)\) \(\chi_{801}(458,\cdot)\) \(\chi_{801}(476,\cdot)\) \(\chi_{801}(503,\cdot)\) \(\chi_{801}(521,\cdot)\) \(\chi_{801}(548,\cdot)\) \(\chi_{801}(557,\cdot)\) \(\chi_{801}(575,\cdot)\) \(\chi_{801}(593,\cdot)\) \(\chi_{801}(620,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{88})$ |
Fixed field: | Number field defined by a degree 88 polynomial |
Values on generators
\((713,181)\) → \((-1,e\left(\frac{39}{88}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(11\) | \(13\) | \(14\) | \(16\) |
\( \chi_{ 801 }(26, a) \) | \(1\) | \(1\) | \(e\left(\frac{13}{22}\right)\) | \(e\left(\frac{2}{11}\right)\) | \(e\left(\frac{23}{44}\right)\) | \(e\left(\frac{79}{88}\right)\) | \(e\left(\frac{17}{22}\right)\) | \(e\left(\frac{5}{44}\right)\) | \(e\left(\frac{8}{11}\right)\) | \(e\left(\frac{17}{88}\right)\) | \(e\left(\frac{43}{88}\right)\) | \(e\left(\frac{4}{11}\right)\) |