Properties

Level $2$
Weight $0$
Character 2.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 23.4965859557 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-0.585591607\) \(a_{4}=+0.500000000\) \(a_{5}=-1.218677350\)
\(a_{6}=+0.414075796\) \(a_{7}=+0.066588029\) \(a_{8}=-0.353553391\) \(a_{9}=-0.657082470\) \(a_{10}=+0.861735018\)
\(a_{11}=-0.709531751\) \(a_{12}=-0.292795803\) \(a_{13}=-1.578138646\) \(a_{14}=-0.047084847\) \(a_{15}=+0.713647227\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.237783129\) \(a_{18}=+0.464627471\) \(a_{19}=-0.954609013\) \(a_{20}=-0.609338675\)
\(a_{21}=-0.038993391\) \(a_{22}=+0.501714712\) \(a_{23}=+1.408957945\) \(a_{24}=+0.207037898\) \(a_{25}=+0.485174484\)
\(a_{26}=+1.115912538\) \(a_{27}=+0.970373586\) \(a_{28}=+0.033294015\) \(a_{29}=+1.281058916\) \(a_{30}=-0.504624794\)
\(a_{31}=+0.413096025\) \(a_{32}=-0.176776695\) \(a_{33}=+0.415495838\) \(a_{34}=+0.875244844\) \(a_{35}=-0.081149323\)
\(a_{36}=-0.328541235\) \(a_{37}=-1.228902402\) \(a_{38}=+0.675010507\) \(a_{39}=+0.924144745\) \(a_{40}=+0.430867509\)
\(a_{41}=-0.808908675\) \(a_{42}=+0.027572491\) \(a_{43}=-0.318535266\) \(a_{44}=-0.354765875\) \(a_{45}=+0.800771524\)
\(a_{46}=-0.996283717\) \(a_{47}=+1.781264903\) \(a_{48}=-0.146397902\) \(a_{49}=-0.995566034\) \(a_{50}=-0.343070168\)
\(a_{51}=+0.724835411\) \(a_{52}=-0.789069323\) \(a_{53}=+0.723963572\) \(a_{54}=-0.686157743\) \(a_{55}=+0.864690274\)
\(a_{56}=-0.023542423\) \(a_{57}=+0.559011026\) \(a_{58}=-0.905845447\) \(a_{59}=-0.299252724\) \(a_{60}=+0.356823614\)
\(a_{61}=-0.267425064\) \(a_{62}=-0.292103000\) \(a_{63}=-0.043753827\) \(a_{64}=+0.125000000\) \(a_{65}=+1.923241824\)
\(a_{66}=-0.293799924\) \(a_{67}=-0.698502644\) \(a_{68}=-0.618891564\) \(a_{69}=-0.825073946\) \(a_{70}=+0.057381236\)
\(a_{71}=+0.480548169\) \(a_{72}=+0.232313735\) \(a_{73}=+0.342138168\) \(a_{74}=+0.868965222\) \(a_{75}=-0.284114106\)
\(a_{76}=-0.477304507\) \(a_{77}=-0.047246321\) \(a_{78}=-0.653469016\) \(a_{79}=+0.336714986\) \(a_{80}=-0.304669338\)
\(a_{81}=+0.088839843\) \(a_{82}=+0.571984809\) \(a_{83}=-0.916553198\) \(a_{84}=-0.019496695\) \(a_{85}=+1.508458263\)
\(a_{86}=+0.225238446\) \(a_{87}=-0.750177349\) \(a_{88}=+0.250857356\) \(a_{89}=-0.410352975\) \(a_{90}=-0.566230975\)
\(a_{91}=-0.105085142\) \(a_{92}=+0.704478972\) \(a_{93}=-0.241905565\) \(a_{94}=-1.259544492\) \(a_{95}=+1.163360383\)
\(a_{96}=+0.103518949\) \(a_{97}=+0.119745770\) \(a_{98}=+0.703971494\) \(a_{99}=+0.466220876\) \(a_{100}=+0.242587242\)

Showing 100 of 1228 available coefficients

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