Properties

Level $761$
Weight $0$
Character 761.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 761 \)
Weight: \( 0 \)
Character: 761.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.281748981 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.768825938\) \(a_{3}=-1.504294297\) \(a_{4}=+2.128744345\) \(a_{5}=+0.600412747\)
\(a_{6}=-2.660834547\) \(a_{7}=-1.712341458\) \(a_{8}=+1.996553788\) \(a_{9}=+1.262901212\) \(a_{10}=+1.062025547\)
\(a_{11}=-0.511531621\) \(a_{12}=-3.202259309\) \(a_{13}=-0.018322062\) \(a_{14}=-3.028834134\) \(a_{15}=-0.903197305\)
\(a_{16}=+1.402809834\) \(a_{17}=+0.887263775\) \(a_{18}=+2.233852760\) \(a_{19}=-0.901339658\) \(a_{20}=+1.278124313\)
\(a_{21}=+2.575865974\) \(a_{22}=-0.904809616\) \(a_{23}=-1.430101956\) \(a_{24}=-3.003403500\) \(a_{25}=-0.639504545\)
\(a_{26}=-0.032407764\) \(a_{27}=-0.395480861\) \(a_{28}=-3.645138117\) \(a_{29}=-0.280184686\) \(a_{30}=-1.597598325\)
\(a_{31}=+0.601631739\) \(a_{32}=+0.484773270\) \(a_{33}=+0.769493181\) \(a_{34}=+1.569413572\) \(a_{35}=-1.028111082\)
\(a_{36}=+2.688395475\) \(a_{37}=-0.133656114\) \(a_{38}=-1.594313584\) \(a_{39}=+0.027561391\) \(a_{40}=+1.198756276\)
\(a_{41}=+1.639957166\) \(a_{42}=+4.556257608\) \(a_{43}=+1.162745119\) \(a_{44}=-1.088919815\) \(a_{45}=+0.758261679\)
\(a_{46}=-2.529602377\) \(a_{47}=-0.387183590\) \(a_{48}=-2.110238896\) \(a_{49}=+1.932113275\) \(a_{50}=-1.131172525\)
\(a_{51}=-1.334704942\) \(a_{52}=-0.039002231\) \(a_{53}=-0.692216845\) \(a_{54}=-0.699538106\) \(a_{55}=-0.307130267\)
\(a_{56}=-3.418780991\) \(a_{57}=+1.355880809\) \(a_{58}=-0.495596824\) \(a_{59}=+0.503314743\) \(a_{60}=-1.922676616\)
\(a_{61}=-1.472341390\) \(a_{62}=+1.064180305\) \(a_{63}=-2.162518936\) \(a_{64}=-0.545330399\) \(a_{65}=-0.011001270\)
\(a_{66}=+1.361100970\) \(a_{67}=+0.134671871\) \(a_{68}=+1.888757755\) \(a_{69}=+2.151295148\) \(a_{70}=-1.818549737\)
\(a_{71}=+0.177359144\) \(a_{72}=+2.521450032\) \(a_{73}=+0.550980254\) \(a_{74}=-0.236414689\) \(a_{75}=+0.962003085\)
\(a_{76}=-1.918721985\) \(a_{77}=+0.875915995\) \(a_{78}=+0.048751436\) \(a_{79}=+0.890074450\) \(a_{80}=+0.842264804\)
\(a_{81}=-0.667981733\) \(a_{82}=+2.900800068\) \(a_{83}=-0.322946553\) \(a_{84}=+5.483360902\) \(a_{85}=+0.532724432\)
\(a_{86}=+2.056695821\) \(a_{87}=+0.421479961\) \(a_{88}=-1.021298982\) \(a_{89}=+0.914661755\) \(a_{90}=+1.341233282\)
\(a_{91}=+0.031372486\) \(a_{92}=-3.044322275\) \(a_{93}=-0.905030612\) \(a_{94}=-0.684860274\) \(a_{95}=-0.541175547\)
\(a_{96}=-0.729241811\) \(a_{97}=+1.552411703\) \(a_{98}=+3.417571562\) \(a_{99}=-0.646013483\) \(a_{100}=-1.361343019\)

Showing 100 of 1978 available coefficients

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