Properties

Level $26$
Weight $0$
Character 26.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 1.9732685967 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+1.460086303\) \(a_{4}=+0.500000000\) \(a_{5}=+1.117209340\)
\(a_{6}=-1.032436926\) \(a_{7}=-1.329709103\) \(a_{8}=-0.353553391\) \(a_{9}=+1.131852012\) \(a_{10}=-0.789986300\)
\(a_{11}=-0.848966285\) \(a_{12}=+0.730043151\) \(a_{13}=+0.277350098\) \(a_{14}=+0.940246324\) \(a_{15}=+1.631222054\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.059118026\) \(a_{18}=-0.800340233\) \(a_{19}=-1.146308606\) \(a_{20}=+0.558604670\)
\(a_{21}=-1.941490049\) \(a_{22}=+0.600309817\) \(a_{23}=+0.708449072\) \(a_{24}=-0.516218463\) \(a_{25}=+0.248156709\)
\(a_{26}=-0.196116135\) \(a_{27}=+0.192515317\) \(a_{28}=-0.664854552\) \(a_{29}=+1.488119462\) \(a_{30}=-1.153448176\)
\(a_{31}=+1.103788286\) \(a_{32}=-0.176776695\) \(a_{33}=-1.239564044\) \(a_{34}=-0.041802757\) \(a_{35}=-1.485563429\)
\(a_{36}=+0.565926006\) \(a_{37}=+0.548880329\) \(a_{38}=+0.810562588\) \(a_{39}=+0.404955079\) \(a_{40}=-0.394993150\)
\(a_{41}=+0.868711802\) \(a_{42}=+1.372840779\) \(a_{43}=-0.952534606\) \(a_{44}=-0.424483142\) \(a_{45}=+1.264515639\)
\(a_{46}=-0.500949143\) \(a_{47}=-0.746805722\) \(a_{48}=+0.365021576\) \(a_{49}=+0.768126299\) \(a_{50}=-0.175473292\)
\(a_{51}=+0.086317419\) \(a_{52}=+0.138675049\) \(a_{53}=-0.350981837\) \(a_{54}=-0.136128886\) \(a_{55}=-0.948473063\)
\(a_{56}=+0.470123162\) \(a_{57}=-1.673709494\) \(a_{58}=-1.052259363\) \(a_{59}=+1.334710162\) \(a_{60}=+0.815611027\)
\(a_{61}=-0.555611186\) \(a_{62}=-0.780496182\) \(a_{63}=-1.505033924\) \(a_{64}=+0.125000000\) \(a_{65}=+0.309858120\)
\(a_{66}=+0.876504141\) \(a_{67}=-0.244462786\) \(a_{68}=+0.029559013\) \(a_{69}=+1.034396786\) \(a_{70}=+1.050451975\)
\(a_{71}=-0.008115873\) \(a_{72}=-0.400170116\) \(a_{73}=-0.307527283\) \(a_{74}=-0.388117003\) \(a_{75}=+0.362330211\)
\(a_{76}=-0.573154303\) \(a_{77}=+1.128878197\) \(a_{78}=-0.286346483\) \(a_{79}=+1.229660060\) \(a_{80}=+0.279302335\)
\(a_{81}=-0.850763035\) \(a_{82}=-0.614272006\) \(a_{83}=+0.038169976\) \(a_{84}=-0.970745024\) \(a_{85}=+0.066047210\)
\(a_{86}=+0.673543679\) \(a_{87}=+2.172782843\) \(a_{88}=+0.300154909\) \(a_{89}=+0.572257515\) \(a_{90}=-0.894147583\)
\(a_{91}=-0.368794950\) \(a_{92}=+0.354224536\) \(a_{93}=+1.611626158\) \(a_{94}=+0.528071390\) \(a_{95}=-1.280666680\)
\(a_{96}=-0.258109231\) \(a_{97}=-0.295294194\) \(a_{98}=-0.543147315\) \(a_{99}=-0.960904198\) \(a_{100}=+0.124078354\)

Showing 100 of 240 available coefficients

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