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: \( 3.37938274387 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.375361294\) \(a_{4}=+0.500000000\) \(a_{5}=+0.225631526\)
\(a_{6}=-0.972527298\) \(a_{7}=-1.804638943\) \(a_{8}=+0.353553391\) \(a_{9}=+0.891618690\) \(a_{10}=+0.159545582\)
\(a_{11}=-0.328391484\) \(a_{12}=-0.687680647\) \(a_{13}=-0.277350098\) \(a_{14}=-1.276072434\) \(a_{15}=-0.310324867\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.665017989\) \(a_{18}=+0.630469622\) \(a_{19}=-1.228633375\) \(a_{20}=+0.112815763\)
\(a_{21}=+2.482030552\) \(a_{22}=-0.232207845\) \(a_{23}=+1.366794444\) \(a_{24}=-0.486263649\) \(a_{25}=-0.949090415\)
\(a_{26}=-0.196116135\) \(a_{27}=+0.149063459\) \(a_{28}=-0.902319471\) \(a_{29}=-0.967880837\) \(a_{30}=-0.219432818\)
\(a_{31}=-1.230677831\) \(a_{32}=+0.176776695\) \(a_{33}=+0.451656936\) \(a_{34}=+0.470238729\) \(a_{35}=-0.407183438\)
\(a_{36}=+0.445809345\) \(a_{37}=+1.095701307\) \(a_{38}=-0.868774990\) \(a_{39}=+0.381456590\) \(a_{40}=+0.079772790\)
\(a_{41}=-0.235906342\) \(a_{42}=+1.755060634\) \(a_{43}=-1.037995075\) \(a_{44}=-0.164195741\) \(a_{45}=+0.201177286\)
\(a_{46}=+0.966469621\) \(a_{47}=-1.038495249\) \(a_{48}=-0.343840326\) \(a_{49}=+2.256721713\) \(a_{50}=-0.671108269\)
\(a_{51}=-0.914639996\) \(a_{52}=-0.138675046\) \(a_{53}=+0.471571144\) \(a_{54}=+0.105403772\) \(a_{55}=-0.074095459\)
\(a_{56}=-0.638036222\) \(a_{57}=+1.689814788\) \(a_{58}=-0.684395110\) \(a_{59}=-0.094402857\) \(a_{60}=-0.155162450\)
\(a_{61}=-0.519427532\) \(a_{62}=-0.870220636\) \(a_{63}=-1.609049820\) \(a_{64}=+0.125000009\) \(a_{65}=-0.062578894\)
\(a_{66}=+0.319369773\) \(a_{67}=+1.238099728\) \(a_{68}=+0.332508966\) \(a_{69}=-1.879836356\) \(a_{70}=-0.287922184\)
\(a_{71}=-0.679538388\) \(a_{72}=+0.315234819\) \(a_{73}=+1.288214588\) \(a_{74}=+0.774777828\) \(a_{75}=+1.305342212\)
\(a_{76}=-0.614316640\) \(a_{77}=+0.592628066\) \(a_{78}=+0.269730497\) \(a_{79}=+0.103659539\) \(a_{80}=+0.056407876\)
\(a_{81}=-1.096634738\) \(a_{82}=-0.166811073\) \(a_{83}=-0.669207616\) \(a_{84}=+1.241015162\) \(a_{85}=+0.150049027\)
\(a_{86}=-0.733973349\) \(a_{87}=+1.331185849\) \(a_{88}=-0.116103969\) \(a_{89}=-1.389025333\) \(a_{90}=+0.142253818\)
\(a_{91}=+0.500516849\) \(a_{92}=+0.683397207\) \(a_{93}=+1.692626642\) \(a_{94}=-0.734327010\) \(a_{95}=-0.277218478\)
\(a_{96}=-0.243131826\) \(a_{97}=-1.642019618\) \(a_{98}=+1.595743277\) \(a_{99}=-0.292800044\) \(a_{100}=-0.474545154\)

Showing 100 of 1500 available coefficients

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