Properties

Level $937$
Weight $0$
Character 937.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 937 \)
Weight: \( 0 \)
Character: 937.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.6739750699 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.654984424\) \(a_{3}=-0.815384054\) \(a_{4}=-0.570995198\) \(a_{5}=-1.141161129\)
\(a_{6}=+0.534063825\) \(a_{7}=-0.138914737\) \(a_{8}=+1.028977584\) \(a_{9}=-0.335148820\) \(a_{10}=+0.747442746\)
\(a_{11}=+1.072507826\) \(a_{12}=+0.465580507\) \(a_{13}=+0.335317994\) \(a_{14}=+0.090986792\) \(a_{15}=+0.930484706\)
\(a_{16}=-0.102968843\) \(a_{17}=+1.393879493\) \(a_{18}=+0.219517155\) \(a_{19}=-1.611868578\) \(a_{20}=+0.651597784\)
\(a_{21}=+0.113268720\) \(a_{22}=-0.702476138\) \(a_{23}=+1.164058001\) \(a_{24}=-0.839011867\) \(a_{25}=+0.302248766\)
\(a_{26}=-0.219628138\) \(a_{27}=+1.088659306\) \(a_{28}=+0.079319402\) \(a_{29}=+0.480385810\) \(a_{30}=-0.609452871\)
\(a_{31}=+0.850956840\) \(a_{32}=-0.961534402\) \(a_{33}=-0.874505989\) \(a_{34}=-0.912969274\) \(a_{35}=+0.158523967\)
\(a_{36}=+0.191368395\) \(a_{37}=-1.201414123\) \(a_{38}=+1.055748976\) \(a_{39}=-0.273413116\) \(a_{40}=-1.174229360\)
\(a_{41}=-0.527588621\) \(a_{42}=-0.074189236\) \(a_{43}=+0.392420194\) \(a_{44}=-0.612397083\) \(a_{45}=+0.382458974\)
\(a_{46}=-0.762439785\) \(a_{47}=-0.687612796\) \(a_{48}=+0.083959169\) \(a_{49}=-0.980702570\) \(a_{50}=-0.197968314\)
\(a_{51}=-1.136547299\) \(a_{52}=-0.191465237\) \(a_{53}=+0.439123981\) \(a_{54}=-0.713054815\) \(a_{55}=-1.223904415\)
\(a_{56}=-0.142940167\) \(a_{57}=+1.314292134\) \(a_{58}=-0.314645347\) \(a_{59}=-0.351814255\) \(a_{60}=-0.531302349\)
\(a_{61}=+0.319558678\) \(a_{62}=-0.557363146\) \(a_{63}=+0.046557142\) \(a_{64}=+0.732759128\) \(a_{65}=-0.382652140\)
\(a_{66}=+0.572787787\) \(a_{67}=+1.271167256\) \(a_{68}=-0.795898973\) \(a_{69}=-0.949154375\) \(a_{70}=-0.103830641\)
\(a_{71}=-0.913485288\) \(a_{72}=-0.344860593\) \(a_{73}=-1.588473882\) \(a_{74}=+0.786907596\) \(a_{75}=-0.246448995\)
\(a_{76}=+0.920369821\) \(a_{77}=-0.148986990\) \(a_{78}=+0.179081273\) \(a_{79}=+0.754543304\) \(a_{80}=+0.117503833\)
\(a_{81}=-0.552526379\) \(a_{82}=+0.345562093\) \(a_{83}=+1.517486466\) \(a_{84}=-0.064675905\) \(a_{85}=-1.590641193\)
\(a_{86}=-0.257029047\) \(a_{87}=-0.391699022\) \(a_{88}=+1.103586626\) \(a_{89}=-1.035712580\) \(a_{90}=-0.250504551\)
\(a_{91}=-0.046580472\) \(a_{92}=-0.664671739\) \(a_{93}=-0.693856403\) \(a_{94}=+0.450375688\) \(a_{95}=+1.839402037\)
\(a_{96}=+0.784019798\) \(a_{97}=-0.070858132\) \(a_{98}=+0.642345190\) \(a_{99}=-0.359449827\) \(a_{100}=-0.172582793\)

Showing 100 of 2340 available coefficients

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