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: \( 6.41323498635 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.143528142\) \(a_{4}=+0.500000000\) \(a_{5}=+1.784368863\)
\(a_{6}=-0.101489722\) \(a_{7}=-0.069345078\) \(a_{8}=+0.353553391\) \(a_{9}=-0.979399673\) \(a_{10}=+1.261739323\)
\(a_{11}=+0.451413806\) \(a_{12}=-0.071764071\) \(a_{13}=+0.277350098\) \(a_{14}=-0.049034375\) \(a_{15}=-0.256107147\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.323237993\) \(a_{18}=-0.692540150\) \(a_{19}=-0.031585487\) \(a_{20}=+0.892184432\)
\(a_{21}=+0.009952970\) \(a_{22}=+0.319197763\) \(a_{23}=+1.573080129\) \(a_{24}=-0.050744861\) \(a_{25}=+2.183972240\)
\(a_{26}=+0.196116135\) \(a_{27}=+0.284099557\) \(a_{28}=-0.034672539\) \(a_{29}=-1.678758330\) \(a_{30}=-0.181095101\)
\(a_{31}=+0.255470477\) \(a_{32}=+0.176776695\) \(a_{33}=-0.064790585\) \(a_{34}=+0.935670558\) \(a_{35}=-0.123737198\)
\(a_{36}=-0.489699836\) \(a_{37}=-0.063347701\) \(a_{38}=-0.022334312\) \(a_{39}=-0.039807544\) \(a_{40}=+0.630869662\)
\(a_{41}=+0.567856746\) \(a_{42}=+0.007037813\) \(a_{43}=+0.573085416\) \(a_{44}=+0.225706903\) \(a_{45}=-1.747610280\)
\(a_{46}=+1.112335626\) \(a_{47}=+0.866615937\) \(a_{48}=-0.035882035\) \(a_{49}=-0.995191260\) \(a_{50}=+1.544301581\)
\(a_{51}=-0.189921890\) \(a_{52}=+0.138675049\) \(a_{53}=-0.915434021\) \(a_{54}=+0.200888723\) \(a_{55}=+0.805488739\)
\(a_{56}=-0.024517187\) \(a_{57}=+0.004533406\) \(a_{58}=-1.187061399\) \(a_{59}=-1.050048895\) \(a_{60}=-0.128053574\)
\(a_{61}=-0.817518243\) \(a_{62}=+0.180644906\) \(a_{63}=+0.067916547\) \(a_{64}=+0.125000000\) \(a_{65}=+0.494894879\)
\(a_{66}=-0.045813862\) \(a_{67}=+1.825806374\) \(a_{68}=+0.661618996\) \(a_{69}=-0.225781268\) \(a_{70}=-0.087495412\)
\(a_{71}=-1.459358262\) \(a_{72}=-0.346270075\) \(a_{73}=+0.388784921\) \(a_{74}=-0.044793589\) \(a_{75}=-0.313461477\)
\(a_{76}=-0.015792744\) \(a_{77}=-0.031303325\) \(a_{78}=-0.028148184\) \(a_{79}=-1.116996939\) \(a_{80}=+0.446092216\)
\(a_{81}=+0.938623391\) \(a_{82}=+0.401535356\) \(a_{83}=-0.205249363\) \(a_{84}=+0.004976485\) \(a_{85}=+2.361144673\)
\(a_{86}=+0.405232584\) \(a_{87}=+0.240949064\) \(a_{88}=+0.159598882\) \(a_{89}=-1.114338132\) \(a_{90}=-1.235747080\)
\(a_{91}=-0.019232864\) \(a_{92}=+0.786540064\) \(a_{93}=-0.036667203\) \(a_{94}=+0.612790006\) \(a_{95}=-0.056360160\)
\(a_{96}=-0.025372431\) \(a_{97}=-1.433025496\) \(a_{98}=-0.703706489\) \(a_{99}=-0.442114533\) \(a_{100}=+1.091986120\)

Showing 100 of 348 available coefficients

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