Basic properties
Modulus: | \(4020\) | |
Conductor: | \(4020\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(132\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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Real: | no | |
Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
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Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4020.dq
\(\chi_{4020}(23,\cdot)\) \(\chi_{4020}(47,\cdot)\) \(\chi_{4020}(83,\cdot)\) \(\chi_{4020}(167,\cdot)\) \(\chi_{4020}(227,\cdot)\) \(\chi_{4020}(287,\cdot)\) \(\chi_{4020}(323,\cdot)\) \(\chi_{4020}(467,\cdot)\) \(\chi_{4020}(743,\cdot)\) \(\chi_{4020}(827,\cdot)\) \(\chi_{4020}(887,\cdot)\) \(\chi_{4020}(1127,\cdot)\) \(\chi_{4020}(1223,\cdot)\) \(\chi_{4020}(1283,\cdot)\) \(\chi_{4020}(1463,\cdot)\) \(\chi_{4020}(1523,\cdot)\) \(\chi_{4020}(1547,\cdot)\) \(\chi_{4020}(1643,\cdot)\) \(\chi_{4020}(1763,\cdot)\) \(\chi_{4020}(2003,\cdot)\) \(\chi_{4020}(2027,\cdot)\) \(\chi_{4020}(2087,\cdot)\) \(\chi_{4020}(2183,\cdot)\) \(\chi_{4020}(2267,\cdot)\) \(\chi_{4020}(2327,\cdot)\) \(\chi_{4020}(2447,\cdot)\) \(\chi_{4020}(2483,\cdot)\) \(\chi_{4020}(2567,\cdot)\) \(\chi_{4020}(2783,\cdot)\) \(\chi_{4020}(2807,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{132})$ |
Fixed field: | Number field defined by a degree 132 polynomial (not computed) |
Values on generators
\((2011,2681,3217,1141)\) → \((-1,-1,-i,e\left(\frac{1}{33}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(7\) | \(11\) | \(13\) | \(17\) | \(19\) | \(23\) | \(29\) | \(31\) | \(37\) | \(41\) |
\( \chi_{ 4020 }(2483, a) \) | \(-1\) | \(1\) | \(e\left(\frac{125}{132}\right)\) | \(e\left(\frac{26}{33}\right)\) | \(e\left(\frac{109}{132}\right)\) | \(e\left(\frac{25}{132}\right)\) | \(e\left(\frac{10}{33}\right)\) | \(e\left(\frac{13}{132}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{61}{66}\right)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{7}{66}\right)\) |