Basic properties
| Modulus: | \(1035\) | |
| Conductor: | \(1035\) | 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: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 1035.bu
\(\chi_{1035}(38,\cdot)\) \(\chi_{1035}(83,\cdot)\) \(\chi_{1035}(113,\cdot)\) \(\chi_{1035}(122,\cdot)\) \(\chi_{1035}(158,\cdot)\) \(\chi_{1035}(182,\cdot)\) \(\chi_{1035}(203,\cdot)\) \(\chi_{1035}(212,\cdot)\) \(\chi_{1035}(218,\cdot)\) \(\chi_{1035}(227,\cdot)\) \(\chi_{1035}(263,\cdot)\) \(\chi_{1035}(272,\cdot)\) \(\chi_{1035}(293,\cdot)\) \(\chi_{1035}(362,\cdot)\) \(\chi_{1035}(383,\cdot)\) \(\chi_{1035}(398,\cdot)\) \(\chi_{1035}(428,\cdot)\) \(\chi_{1035}(452,\cdot)\) \(\chi_{1035}(488,\cdot)\) \(\chi_{1035}(497,\cdot)\) \(\chi_{1035}(527,\cdot)\) \(\chi_{1035}(563,\cdot)\) \(\chi_{1035}(572,\cdot)\) \(\chi_{1035}(608,\cdot)\) \(\chi_{1035}(617,\cdot)\) \(\chi_{1035}(632,\cdot)\) \(\chi_{1035}(677,\cdot)\) \(\chi_{1035}(707,\cdot)\) \(\chi_{1035}(743,\cdot)\) \(\chi_{1035}(797,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{132})$ |
| Fixed field: | Number field defined by a degree 132 polynomial (not computed) |
Values on generators
\((461,622,856)\) → \((e\left(\frac{1}{6}\right),-i,e\left(\frac{17}{22}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 1035 }(38, a) \) | \(-1\) | \(1\) | \(e\left(\frac{61}{132}\right)\) | \(e\left(\frac{61}{66}\right)\) | \(e\left(\frac{13}{132}\right)\) | \(e\left(\frac{17}{44}\right)\) | \(e\left(\frac{4}{33}\right)\) | \(e\left(\frac{53}{132}\right)\) | \(e\left(\frac{37}{66}\right)\) | \(e\left(\frac{28}{33}\right)\) | \(e\left(\frac{29}{44}\right)\) | \(e\left(\frac{1}{11}\right)\) |