Properties

Level $7$
Weight $0$
Character 7.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 11.2287594983 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.951388925\) \(a_{3}=+0.094259264\) \(a_{4}=+2.807918736\) \(a_{5}=+1.087974860\)
\(a_{6}=+0.183936484\) \(a_{7}=-0.377964473\) \(a_{8}=+3.527952599\) \(a_{9}=-0.991115191\) \(a_{10}=+2.123062093\)
\(a_{11}=+0.167061453\) \(a_{12}=+0.264672354\) \(a_{13}=-0.013392222\) \(a_{14}=-0.737555687\) \(a_{15}=+0.102551710\)
\(a_{16}=+4.076488894\) \(a_{17}=-0.124305832\) \(a_{18}=-1.934051207\) \(a_{19}=-0.463347392\) \(a_{20}=+3.054944994\)
\(a_{21}=-0.035626653\) \(a_{22}=+0.326001869\) \(a_{23}=+1.050229911\) \(a_{24}=+0.332542216\) \(a_{25}=+0.183689296\)
\(a_{26}=-0.026133434\) \(a_{27}=-0.187681053\) \(a_{28}=-1.061293525\) \(a_{29}=+0.260926795\) \(a_{30}=+0.200118271\)
\(a_{31}=-1.425756934\) \(a_{32}=+4.426862680\) \(a_{33}=+0.015747090\) \(a_{34}=-0.242569024\) \(a_{35}=-0.411215845\)
\(a_{36}=-2.782970915\) \(a_{37}=+0.474811721\) \(a_{38}=-0.904170969\) \(a_{39}=-0.001262341\) \(a_{40}=+3.838323736\)
\(a_{41}=-1.185187493\) \(a_{42}=-0.069521456\) \(a_{43}=-1.155695288\) \(a_{44}=+0.469094984\) \(a_{45}=-1.078308411\)
\(a_{46}=+2.049407016\) \(a_{47}=-1.318605055\) \(a_{48}=+0.384246843\) \(a_{49}=+0.142857143\) \(a_{50}=+0.358449258\)
\(a_{51}=-0.011716976\) \(a_{52}=-0.037604271\) \(a_{53}=-0.041659303\) \(a_{54}=-0.366238728\) \(a_{55}=+0.181758661\)
\(a_{56}=-1.333440745\) \(a_{57}=-0.043674784\) \(a_{58}=+0.509169657\) \(a_{59}=+1.341431695\) \(a_{60}=+0.287956867\)
\(a_{61}=-1.413534244\) \(a_{62}=-2.782206291\) \(a_{63}=+0.374606331\) \(a_{64}=+4.562041913\) \(a_{65}=-0.014570401\)
\(a_{66}=+0.030728696\) \(a_{67}=+0.142499033\) \(a_{68}=-0.349040675\) \(a_{69}=+0.098993899\) \(a_{70}=-0.802442045\)
\(a_{71}=+0.815193653\) \(a_{72}=-3.496607415\) \(a_{73}=-0.446750991\) \(a_{74}=+0.926542334\) \(a_{75}=+0.017314418\)
\(a_{76}=-1.301041823\) \(a_{77}=-0.063143294\) \(a_{78}=-0.002463318\) \(a_{79}=+1.316156984\) \(a_{80}=+4.435117434\)
\(a_{81}=+0.973424513\) \(a_{82}=-2.312761748\) \(a_{83}=+0.100698366\) \(a_{84}=-0.100036747\) \(a_{85}=-0.135241620\)
\(a_{86}=-2.255210986\) \(a_{87}=+0.024594768\) \(a_{88}=+0.589384887\) \(a_{89}=+0.648556009\) \(a_{90}=-2.104199092\)
\(a_{91}=+0.005061784\) \(a_{92}=+2.948960244\) \(a_{93}=-0.134390799\) \(a_{94}=-2.573111301\) \(a_{95}=-0.504110314\)
\(a_{96}=+0.417272819\) \(a_{97}=+0.239379616\) \(a_{98}=+0.278769846\) \(a_{99}=-0.165577144\) \(a_{100}=+0.515784616\)

Showing 100 of 1228 available coefficients

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