Basic properties
Modulus: | \(2025\) | |
Conductor: | \(2025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(270\) | 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
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 2025.bs
\(\chi_{2025}(14,\cdot)\) \(\chi_{2025}(29,\cdot)\) \(\chi_{2025}(59,\cdot)\) \(\chi_{2025}(104,\cdot)\) \(\chi_{2025}(119,\cdot)\) \(\chi_{2025}(164,\cdot)\) \(\chi_{2025}(194,\cdot)\) \(\chi_{2025}(209,\cdot)\) \(\chi_{2025}(239,\cdot)\) \(\chi_{2025}(254,\cdot)\) \(\chi_{2025}(284,\cdot)\) \(\chi_{2025}(329,\cdot)\) \(\chi_{2025}(344,\cdot)\) \(\chi_{2025}(389,\cdot)\) \(\chi_{2025}(419,\cdot)\) \(\chi_{2025}(434,\cdot)\) \(\chi_{2025}(464,\cdot)\) \(\chi_{2025}(479,\cdot)\) \(\chi_{2025}(509,\cdot)\) \(\chi_{2025}(554,\cdot)\) \(\chi_{2025}(569,\cdot)\) \(\chi_{2025}(614,\cdot)\) \(\chi_{2025}(644,\cdot)\) \(\chi_{2025}(659,\cdot)\) \(\chi_{2025}(689,\cdot)\) \(\chi_{2025}(704,\cdot)\) \(\chi_{2025}(734,\cdot)\) \(\chi_{2025}(779,\cdot)\) \(\chi_{2025}(794,\cdot)\) \(\chi_{2025}(839,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{135})$ |
Fixed field: | Number field defined by a degree 270 polynomial (not computed) |
Values on generators
\((326,1702)\) → \((e\left(\frac{37}{54}\right),e\left(\frac{1}{10}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 2025 }(29, a) \) | \(-1\) | \(1\) | \(e\left(\frac{106}{135}\right)\) | \(e\left(\frac{77}{135}\right)\) | \(e\left(\frac{25}{54}\right)\) | \(e\left(\frac{16}{45}\right)\) | \(e\left(\frac{137}{270}\right)\) | \(e\left(\frac{103}{270}\right)\) | \(e\left(\frac{67}{270}\right)\) | \(e\left(\frac{19}{135}\right)\) | \(e\left(\frac{41}{45}\right)\) | \(e\left(\frac{31}{45}\right)\) |