Properties

Level $751$
Weight $0$
Character 751.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 751 \)
Weight: \( 0 \)
Character: 751.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.4685778897 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.502029385\) \(a_{3}=+1.059625041\) \(a_{4}=-0.747966497\) \(a_{5}=+0.348068229\)
\(a_{6}=+0.531962953\) \(a_{7}=-1.818815670\) \(a_{8}=-0.877530566\) \(a_{9}=+0.122805125\) \(a_{10}=+0.174740471\)
\(a_{11}=-0.341732932\) \(a_{12}=-0.792563988\) \(a_{13}=+0.053755747\) \(a_{14}=-0.913098947\) \(a_{15}=+0.368821851\)
\(a_{16}=+0.307420353\) \(a_{17}=-0.738899503\) \(a_{18}=+0.061651768\) \(a_{19}=+0.985389870\) \(a_{20}=-0.260343401\)
\(a_{21}=-1.927262554\) \(a_{22}=-0.171559974\) \(a_{23}=-1.235902948\) \(a_{24}=-0.929853358\) \(a_{25}=-0.878848489\)
\(a_{26}=+0.026986991\) \(a_{27}=-0.929497669\) \(a_{28}=+1.360413162\) \(a_{29}=+1.289706239\) \(a_{30}=+0.185159468\)
\(a_{31}=-1.733808650\) \(a_{32}=+1.031864669\) \(a_{33}=-0.362108803\) \(a_{34}=-0.370949293\) \(a_{35}=-0.633071990\)
\(a_{36}=-0.091854110\) \(a_{37}=-0.879826476\) \(a_{38}=+0.494694723\) \(a_{39}=+0.056960909\) \(a_{40}=-0.305440548\)
\(a_{41}=+0.343974927\) \(a_{42}=-0.967542501\) \(a_{43}=+1.208111846\) \(a_{44}=+0.255604786\) \(a_{45}=+0.042744554\)
\(a_{46}=-0.620459624\) \(a_{47}=-0.205688755\) \(a_{48}=+0.325750217\) \(a_{49}=+2.308090392\) \(a_{50}=-0.441207806\)
\(a_{51}=-0.782956408\) \(a_{52}=-0.040207465\) \(a_{53}=+0.910854083\) \(a_{54}=-0.466635165\) \(a_{55}=-0.118946392\)
\(a_{56}=+1.596066359\) \(a_{57}=+1.044143691\) \(a_{58}=+0.647470458\) \(a_{59}=-0.283372222\) \(a_{60}=-0.275866347\)
\(a_{61}=-0.613850613\) \(a_{62}=-0.870422904\) \(a_{63}=-0.223359853\) \(a_{64}=+0.210606062\) \(a_{65}=+0.018710680\)
\(a_{66}=-0.181789316\) \(a_{67}=-0.588373266\) \(a_{68}=+0.552672064\) \(a_{69}=-1.309593665\) \(a_{70}=-0.317820739\)
\(a_{71}=+0.980617354\) \(a_{72}=-0.107765264\) \(a_{73}=+1.118864237\) \(a_{74}=-0.441698775\) \(a_{75}=-0.931249838\)
\(a_{76}=-0.737038568\) \(a_{77}=+0.621549250\) \(a_{78}=+0.028596070\) \(a_{79}=-1.544471631\) \(a_{80}=+0.107003308\)
\(a_{81}=-1.107724049\) \(a_{82}=+0.172685586\) \(a_{83}=+0.320683389\) \(a_{84}=+1.441527776\) \(a_{85}=-0.257187478\)
\(a_{86}=+0.606507692\) \(a_{87}=+1.366604985\) \(a_{88}=+0.299881074\) \(a_{89}=-1.024410675\) \(a_{90}=+0.021459007\)
\(a_{91}=-0.097771758\) \(a_{92}=+0.924413972\) \(a_{93}=-1.837186962\) \(a_{94}=-0.103261866\) \(a_{95}=+0.342983005\)
\(a_{96}=+1.093389487\) \(a_{97}=-0.169234327\) \(a_{98}=+1.158729293\) \(a_{99}=-0.041966566\) \(a_{100}=+0.657349253\)

Showing 100 of 2002 available coefficients

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