Properties

Level $34$
Weight $0$
Character 34.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 34 = 2 \cdot 17 \)
Weight: \( 0 \)
Character: 34.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 3.84594741498 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-1.699721410\) \(a_{4}=+0.500000000\) \(a_{5}=-1.186203195\)
\(a_{6}=+1.201884535\) \(a_{7}=-1.774562787\) \(a_{8}=-0.353553391\) \(a_{9}=+1.889052871\) \(a_{10}=+0.838772323\)
\(a_{11}=-0.799987272\) \(a_{12}=-0.849860705\) \(a_{13}=-0.382239517\) \(a_{14}=+1.254805380\) \(a_{15}=+2.016214966\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.242535625\) \(a_{18}=-1.335762095\) \(a_{19}=-0.056983013\) \(a_{20}=-0.593101597\)
\(a_{21}=+3.016262361\) \(a_{22}=+0.565676425\) \(a_{23}=-1.481089810\) \(a_{24}=+0.600942267\) \(a_{25}=+0.407078019\)
\(a_{26}=+0.270284155\) \(a_{27}=-1.511142199\) \(a_{28}=-0.887281393\) \(a_{29}=-0.952021661\) \(a_{30}=-1.425679275\)
\(a_{31}=-0.163221033\) \(a_{32}=-0.176776695\) \(a_{33}=+1.359755494\) \(a_{34}=+0.171498585\) \(a_{35}=+2.104992046\)
\(a_{36}=+0.944526435\) \(a_{37}=-0.192292491\) \(a_{38}=+0.040293075\) \(a_{39}=+0.649700691\) \(a_{40}=+0.419386161\)
\(a_{41}=+1.081301518\) \(a_{42}=-2.132819569\) \(a_{43}=-0.376880803\) \(a_{44}=-0.399993636\) \(a_{45}=-2.240800550\)
\(a_{46}=+1.047288648\) \(a_{47}=-0.134331295\) \(a_{48}=-0.424930352\) \(a_{49}=+2.149073083\) \(a_{50}=-0.287847628\)
\(a_{51}=+0.412242994\) \(a_{52}=-0.191119759\) \(a_{53}=-1.411769869\) \(a_{54}=+1.068538896\) \(a_{55}=+0.948947458\)
\(a_{56}=+0.627402690\) \(a_{57}=+0.096855247\) \(a_{58}=+0.673180973\) \(a_{59}=-1.855766475\) \(a_{60}=+1.008107483\)
\(a_{61}=-0.097455842\) \(a_{62}=+0.115414699\) \(a_{63}=-3.352242926\) \(a_{64}=+0.125000000\) \(a_{65}=+0.453413736\)
\(a_{66}=-0.961492331\) \(a_{67}=+0.774425672\) \(a_{68}=-0.121267813\) \(a_{69}=+2.517440060\) \(a_{70}=-1.488454150\)
\(a_{71}=-1.203237750\) \(a_{72}=-0.667881047\) \(a_{73}=+0.636117640\) \(a_{74}=+0.135971324\) \(a_{75}=-0.691919224\)
\(a_{76}=-0.028491506\) \(a_{77}=+1.419627643\) \(a_{78}=-0.459407764\) \(a_{79}=-0.154729847\) \(a_{80}=-0.296550799\)
\(a_{81}=+0.679467877\) \(a_{82}=-0.764595636\) \(a_{83}=-1.067494087\) \(a_{84}=+1.508131181\) \(a_{85}=+0.287696533\)
\(a_{86}=+0.266494971\) \(a_{87}=+1.618171600\) \(a_{88}=+0.282838213\) \(a_{89}=+0.456031889\) \(a_{90}=+1.584485264\)
\(a_{91}=+0.678308023\) \(a_{92}=-0.740544905\) \(a_{93}=+0.277430284\) \(a_{94}=+0.094986569\) \(a_{95}=+0.067593432\)
\(a_{96}=+0.300471134\) \(a_{97}=+1.222691602\) \(a_{98}=-1.519624150\) \(a_{99}=-1.511218253\) \(a_{100}=+0.203539010\)

Showing 100 of 346 available coefficients

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