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: \( 3.60676534504 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+1.562470496\) \(a_{4}=+0.500000000\) \(a_{5}=+0.379825074\)
\(a_{6}=-1.104833483\) \(a_{7}=+0.574870163\) \(a_{8}=-0.353553391\) \(a_{9}=+1.441314049\) \(a_{10}=-0.268576886\)
\(a_{11}=+1.311718772\) \(a_{12}=+0.781235248\) \(a_{13}=-0.277350098\) \(a_{14}=-0.406494590\) \(a_{15}=+0.593465472\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.598883937\) \(a_{18}=-1.019162938\) \(a_{19}=+0.640130963\) \(a_{20}=+0.189912537\)
\(a_{21}=+0.898217668\) \(a_{22}=-0.927525239\) \(a_{23}=+1.617707148\) \(a_{24}=-0.552416741\) \(a_{25}=-0.855732913\)
\(a_{26}=+0.196116135\) \(a_{27}=+0.689540182\) \(a_{28}=+0.287435081\) \(a_{29}=-0.788123875\) \(a_{30}=-0.419643460\)
\(a_{31}=-1.278313679\) \(a_{32}=-0.176776695\) \(a_{33}=+2.049521880\) \(a_{34}=+1.130581674\) \(a_{35}=+0.218350102\)
\(a_{36}=+0.720657025\) \(a_{37}=-0.011901382\) \(a_{38}=-0.452640945\) \(a_{39}=-0.433351345\) \(a_{40}=-0.134288443\)
\(a_{41}=+0.156142498\) \(a_{42}=-0.635135804\) \(a_{43}=-1.185610070\) \(a_{44}=+0.655859386\) \(a_{45}=+0.547447216\)
\(a_{46}=-1.143891694\) \(a_{47}=+0.635178952\) \(a_{48}=+0.390617624\) \(a_{49}=-0.669524296\) \(a_{50}=+0.605094546\)
\(a_{51}=-2.498208978\) \(a_{52}=-0.138675049\) \(a_{53}=+0.105695683\) \(a_{54}=-0.487578538\) \(a_{55}=+0.498223680\)
\(a_{56}=-0.203247295\) \(a_{57}=+1.000185744\) \(a_{58}=+0.557287736\) \(a_{59}=+1.873957748\) \(a_{60}=+0.296732736\)
\(a_{61}=-0.985234724\) \(a_{62}=+0.903904271\) \(a_{63}=+0.828568442\) \(a_{64}=+0.125000000\) \(a_{65}=-0.105344522\)
\(a_{66}=-1.449230820\) \(a_{67}=-1.643483668\) \(a_{68}=-0.799441969\) \(a_{69}=+2.527619689\) \(a_{70}=-0.154396838\)
\(a_{71}=+0.544194744\) \(a_{72}=-0.509581469\) \(a_{73}=+0.957937143\) \(a_{74}=+0.008415548\) \(a_{75}=-1.337057429\)
\(a_{76}=+0.320065482\) \(a_{77}=+0.754067984\) \(a_{78}=+0.306425675\) \(a_{79}=+0.017261201\) \(a_{80}=+0.094956269\)
\(a_{81}=-0.363927860\) \(a_{82}=-0.110409419\) \(a_{83}=-1.435645372\) \(a_{84}=+0.449108834\) \(a_{85}=-0.607296210\)
\(a_{86}=+0.838352920\) \(a_{87}=-1.231420301\) \(a_{88}=-0.463762619\) \(a_{89}=-0.123571497\) \(a_{90}=-0.387103639\)
\(a_{91}=-0.159440296\) \(a_{92}=+0.808853574\) \(a_{93}=-1.997327407\) \(a_{94}=-0.449139345\) \(a_{95}=+0.243137791\)
\(a_{96}=-0.276208371\) \(a_{97}=-0.379653018\) \(a_{98}=+0.473425170\) \(a_{99}=+1.890598696\) \(a_{100}=-0.427866456\)

Showing 100 of 240 available coefficients

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