Properties

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

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Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 6.37953412272 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-1.826311994\) \(a_{4}=+0.500000000\) \(a_{5}=-1.750715347\)
\(a_{6}=+1.291397595\) \(a_{7}=+1.112023627\) \(a_{8}=-0.353553391\) \(a_{9}=+2.335415499\) \(a_{10}=+1.237942694\)
\(a_{11}=-0.160115419\) \(a_{12}=-0.913155997\) \(a_{13}=+0.277350098\) \(a_{14}=-0.786319448\) \(a_{15}=+3.197352436\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.348976062\) \(a_{18}=-1.651388136\) \(a_{19}=-0.601707317\) \(a_{20}=-0.875357674\)
\(a_{21}=-2.030902088\) \(a_{22}=+0.113218698\) \(a_{23}=-0.433489934\) \(a_{24}=+0.645698798\) \(a_{25}=+2.065004227\)
\(a_{26}=-0.196116135\) \(a_{27}=-2.438885342\) \(a_{28}=+0.556011814\) \(a_{29}=+0.041633280\) \(a_{30}=-2.260869590\)
\(a_{31}=+0.960725042\) \(a_{32}=-0.176776695\) \(a_{33}=+0.292420709\) \(a_{34}=-0.246763340\) \(a_{35}=-1.946836831\)
\(a_{36}=+1.167707749\) \(a_{37}=+1.361832293\) \(a_{38}=+0.425471324\) \(a_{39}=-0.506527811\) \(a_{40}=+0.618971347\)
\(a_{41}=-0.304485753\) \(a_{42}=+1.436064638\) \(a_{43}=-0.215071445\) \(a_{44}=-0.080057709\) \(a_{45}=-4.088647756\)
\(a_{46}=+0.306523672\) \(a_{47}=+1.465238272\) \(a_{48}=-0.456577998\) \(a_{49}=+0.236596548\) \(a_{50}=-1.460178492\)
\(a_{51}=-0.637339168\) \(a_{52}=+0.138675049\) \(a_{53}=-0.723518619\) \(a_{54}=+1.724552364\) \(a_{55}=+0.280316521\)
\(a_{56}=-0.393159724\) \(a_{57}=+1.098905290\) \(a_{58}=-0.029439174\) \(a_{59}=-1.538823133\) \(a_{60}=+1.598676218\)
\(a_{61}=-0.267868347\) \(a_{62}=-0.679335192\) \(a_{63}=+2.597037214\) \(a_{64}=+0.125000000\) \(a_{65}=-0.485561073\)
\(a_{66}=-0.206772667\) \(a_{67}=+1.034848807\) \(a_{68}=+0.174488031\) \(a_{69}=+0.791687866\) \(a_{70}=+1.376621525\)
\(a_{71}=-0.348401744\) \(a_{72}=-0.825694068\) \(a_{73}=-1.945444381\) \(a_{74}=-0.962960850\) \(a_{75}=-3.771341987\)
\(a_{76}=-0.300853658\) \(a_{77}=-0.178052129\) \(a_{78}=+0.358169250\) \(a_{79}=+0.825772309\) \(a_{80}=-0.437678837\)
\(a_{81}=+2.118750053\) \(a_{82}=+0.215303940\) \(a_{83}=+1.275196670\) \(a_{84}=-1.015451044\) \(a_{85}=-0.610957748\)
\(a_{86}=+0.152078477\) \(a_{87}=-0.076035358\) \(a_{88}=+0.056609349\) \(a_{89}=-0.247620739\) \(a_{90}=+2.891110554\)
\(a_{91}=+0.308419862\) \(a_{92}=-0.216744967\) \(a_{93}=-1.754583667\) \(a_{94}=-1.036079918\) \(a_{95}=+1.053418234\)
\(a_{96}=+0.322849399\) \(a_{97}=-0.830185081\) \(a_{98}=-0.167299023\) \(a_{99}=-0.373936030\) \(a_{100}=+1.032502114\)

Showing 100 of 292 available coefficients

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