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: \( 3.48445972243 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+1.246138714\) \(a_{4}=+0.500000000\) \(a_{5}=-1.825377151\)
\(a_{6}=-0.881153135\) \(a_{7}=-0.765810392\) \(a_{8}=-0.353553391\) \(a_{9}=+0.552861695\) \(a_{10}=+1.290736562\)
\(a_{11}=-0.920599345\) \(a_{12}=+0.623069357\) \(a_{13}=-0.277350098\) \(a_{14}=+0.541509721\) \(a_{15}=-2.274673136\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.885631196\) \(a_{18}=-0.390932254\) \(a_{19}=+0.437323514\) \(a_{20}=-0.912688575\)
\(a_{21}=-0.954305977\) \(a_{22}=+0.650962039\) \(a_{23}=-0.455949131\) \(a_{24}=-0.440576568\) \(a_{25}=+2.332001743\)
\(a_{26}=+0.196116135\) \(a_{27}=-0.557196352\) \(a_{28}=-0.382905196\) \(a_{29}=-1.731370008\) \(a_{30}=+1.608436799\)
\(a_{31}=+0.966394369\) \(a_{32}=-0.176776695\) \(a_{33}=-1.147194484\) \(a_{34}=-0.626235824\) \(a_{35}=+1.397892791\)
\(a_{36}=+0.276430847\) \(a_{37}=+0.474388918\) \(a_{38}=-0.309234422\) \(a_{39}=-0.345616695\) \(a_{40}=+0.645368281\)
\(a_{41}=+0.868126584\) \(a_{42}=+0.674796228\) \(a_{43}=-1.348016649\) \(a_{44}=-0.460299672\) \(a_{45}=-1.009181106\)
\(a_{46}=+0.322404722\) \(a_{47}=-1.476805949\) \(a_{48}=+0.311534679\) \(a_{49}=-0.413534444\) \(a_{50}=-1.648974246\)
\(a_{51}=+1.103619320\) \(a_{52}=-0.138675049\) \(a_{53}=-0.585242668\) \(a_{54}=+0.393997319\) \(a_{55}=+1.680441009\)
\(a_{56}=+0.270754861\) \(a_{57}=+0.544965761\) \(a_{58}=+1.224263474\) \(a_{59}=+0.033285069\) \(a_{60}=-1.137336568\)
\(a_{61}=+0.255510007\) \(a_{62}=-0.683344012\) \(a_{63}=-0.423387231\) \(a_{64}=+0.125000000\) \(a_{65}=+0.506268532\)
\(a_{66}=+0.811188999\) \(a_{67}=+0.941127284\) \(a_{68}=+0.442815598\) \(a_{69}=-0.568175864\) \(a_{70}=-0.988459472\)
\(a_{71}=-0.756149239\) \(a_{72}=-0.195466127\) \(a_{73}=-0.551855291\) \(a_{74}=-0.335443621\) \(a_{75}=+2.905997653\)
\(a_{76}=+0.218661757\) \(a_{77}=+0.705004545\) \(a_{78}=+0.244387908\) \(a_{79}=-0.121149298\) \(a_{80}=-0.456344288\)
\(a_{81}=-1.247205641\) \(a_{82}=-0.613858194\) \(a_{83}=-0.075887745\) \(a_{84}=-0.477152988\) \(a_{85}=-1.616610949\)
\(a_{86}=+0.953191713\) \(a_{87}=-2.157527196\) \(a_{88}=+0.325481020\) \(a_{89}=-1.013648911\) \(a_{90}=+0.713598803\)
\(a_{91}=+0.212397587\) \(a_{92}=-0.227974566\) \(a_{93}=+1.204261436\) \(a_{94}=+1.044259501\) \(a_{95}=-0.798280350\)
\(a_{96}=-0.220288284\) \(a_{97}=-0.252798077\) \(a_{98}=+0.292413010\) \(a_{99}=-0.508964114\) \(a_{100}=+1.166000871\)

Showing 100 of 256 available coefficients

Rows: Cols: