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: \( 5.7241092582 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+0.019739753\) \(a_{4}=+0.500000000\) \(a_{5}=-0.717034650\)
\(a_{6}=-0.013958113\) \(a_{7}=-0.265596282\) \(a_{8}=-0.353553391\) \(a_{9}=-0.999610342\) \(a_{10}=+0.507020063\)
\(a_{11}=+0.056360485\) \(a_{12}=+0.009869876\) \(a_{13}=-0.277350098\) \(a_{14}=+0.187804932\) \(a_{15}=-0.014154087\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.648599256\) \(a_{18}=+0.706831251\) \(a_{19}=+1.315513244\) \(a_{20}=-0.358517325\)
\(a_{21}=-0.005242805\) \(a_{22}=-0.039852881\) \(a_{23}=+1.202954029\) \(a_{24}=-0.006979057\) \(a_{25}=-0.485861311\)
\(a_{26}=+0.196116135\) \(a_{27}=-0.039471814\) \(a_{28}=-0.132798141\) \(a_{29}=+0.718811463\) \(a_{30}=+0.010008451\)
\(a_{31}=+0.161942066\) \(a_{32}=-0.176776695\) \(a_{33}=+0.001112542\) \(a_{34}=-0.458628933\) \(a_{35}=+0.190441737\)
\(a_{36}=-0.499805171\) \(a_{37}=+0.209434906\) \(a_{38}=-0.930208336\) \(a_{39}=-0.005474822\) \(a_{40}=+0.253510032\)
\(a_{41}=+1.467358714\) \(a_{42}=+0.003707223\) \(a_{43}=+0.887058740\) \(a_{44}=+0.028180242\) \(a_{45}=+0.716755252\)
\(a_{46}=-0.850616951\) \(a_{47}=+0.938226179\) \(a_{48}=+0.004934938\) \(a_{49}=-0.929458615\) \(a_{50}=+0.343555828\)
\(a_{51}=+0.012803189\) \(a_{52}=-0.138675049\) \(a_{53}=-0.847530104\) \(a_{54}=+0.027910788\) \(a_{55}=-0.040412421\)
\(a_{56}=+0.093902466\) \(a_{57}=+0.025967907\) \(a_{58}=-0.508276460\) \(a_{59}=-0.260675591\) \(a_{60}=-0.007077043\)
\(a_{61}=-1.224915915\) \(a_{62}=-0.114510333\) \(a_{63}=+0.265492790\) \(a_{64}=+0.125000000\) \(a_{65}=+0.198869631\)
\(a_{66}=-0.000786686\) \(a_{67}=+0.224491195\) \(a_{68}=+0.324299628\) \(a_{69}=+0.023746015\) \(a_{70}=-0.134662644\)
\(a_{71}=+0.297012543\) \(a_{72}=+0.353415626\) \(a_{73}=+0.426125087\) \(a_{74}=-0.148092842\) \(a_{75}=-0.009590782\)
\(a_{76}=+0.657756622\) \(a_{77}=-0.014969135\) \(a_{78}=+0.003871284\) \(a_{79}=+1.748487683\) \(a_{80}=-0.179258662\)
\(a_{81}=+0.998831178\) \(a_{82}=-1.037579297\) \(a_{83}=-0.119190258\) \(a_{84}=-0.002621403\) \(a_{85}=-0.465068141\)
\(a_{86}=-0.627245250\) \(a_{87}=+0.014189161\) \(a_{88}=-0.019926441\) \(a_{89}=-1.010157940\) \(a_{90}=-0.506822499\)
\(a_{91}=+0.073663155\) \(a_{92}=+0.601477014\) \(a_{93}=+0.003196696\) \(a_{94}=-0.663426093\) \(a_{95}=-0.943268578\)
\(a_{96}=-0.003489528\) \(a_{97}=-0.363962540\) \(a_{98}=+0.657226489\) \(a_{99}=-0.056338524\) \(a_{100}=-0.242930655\)

Showing 100 of 276 available coefficients

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