Basic properties
Modulus: | \(4235\) | |
Conductor: | \(4235\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
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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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
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Galois orbit 4235.db
\(\chi_{4235}(32,\cdot)\) \(\chi_{4235}(142,\cdot)\) \(\chi_{4235}(263,\cdot)\) \(\chi_{4235}(373,\cdot)\) \(\chi_{4235}(417,\cdot)\) \(\chi_{4235}(527,\cdot)\) \(\chi_{4235}(648,\cdot)\) \(\chi_{4235}(758,\cdot)\) \(\chi_{4235}(802,\cdot)\) \(\chi_{4235}(912,\cdot)\) \(\chi_{4235}(1033,\cdot)\) \(\chi_{4235}(1143,\cdot)\) \(\chi_{4235}(1187,\cdot)\) \(\chi_{4235}(1297,\cdot)\) \(\chi_{4235}(1418,\cdot)\) \(\chi_{4235}(1528,\cdot)\) \(\chi_{4235}(1682,\cdot)\) \(\chi_{4235}(1803,\cdot)\) \(\chi_{4235}(1913,\cdot)\) \(\chi_{4235}(1957,\cdot)\) \(\chi_{4235}(2067,\cdot)\) \(\chi_{4235}(2188,\cdot)\) \(\chi_{4235}(2342,\cdot)\) \(\chi_{4235}(2452,\cdot)\) \(\chi_{4235}(2573,\cdot)\) \(\chi_{4235}(2683,\cdot)\) \(\chi_{4235}(2727,\cdot)\) \(\chi_{4235}(2837,\cdot)\) \(\chi_{4235}(2958,\cdot)\) \(\chi_{4235}(3068,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{132})$ |
Fixed field: | Number field defined by a degree 132 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((i,e\left(\frac{1}{3}\right),e\left(\frac{5}{22}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(527, a) \) | \(1\) | \(1\) | \(e\left(\frac{19}{132}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{19}{66}\right)\) | \(e\left(\frac{5}{22}\right)\) | \(e\left(\frac{19}{44}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{49}{132}\right)\) | \(e\left(\frac{31}{44}\right)\) | \(e\left(\frac{19}{33}\right)\) | \(e\left(\frac{95}{132}\right)\) |