Properties

Level $701$
Weight $0$
Character 701.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 701 \)
Weight: \( 0 \)
Character: 701.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.75041607102 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.578525660\) \(a_{3}=+1.821874126\) \(a_{4}=-0.665307938\) \(a_{5}=+0.655710708\)
\(a_{6}=-1.054001011\) \(a_{7}=-0.060667829\) \(a_{8}=+0.963423440\) \(a_{9}=+2.319225398\) \(a_{10}=-0.379345440\)
\(a_{11}=-0.816870096\) \(a_{12}=-1.212107344\) \(a_{13}=+0.886374762\) \(a_{14}=+0.035097927\) \(a_{15}=+1.194622374\)
\(a_{16}=+0.107942711\) \(a_{17}=+0.700639378\) \(a_{18}=-1.341731491\) \(a_{19}=+0.032119657\) \(a_{20}=-0.436249486\)
\(a_{21}=-0.110529110\) \(a_{22}=+0.472580368\) \(a_{23}=-0.117033132\) \(a_{24}=+1.755236373\) \(a_{25}=-0.570043441\)
\(a_{26}=-0.512790579\) \(a_{27}=+2.403462753\) \(a_{28}=+0.040362739\) \(a_{29}=+1.688842674\) \(a_{30}=-0.691119689\)
\(a_{31}=-0.908433378\) \(a_{32}=-1.025871077\) \(a_{33}=-1.488234537\) \(a_{34}=-0.405337844\) \(a_{35}=-0.039780565\)
\(a_{36}=-1.542999159\) \(a_{37}=+1.432123273\) \(a_{38}=-0.018582100\) \(a_{39}=+1.614863308\) \(a_{40}=+0.631727077\)
\(a_{41}=+0.842480391\) \(a_{42}=+0.063943916\) \(a_{43}=-0.440420510\) \(a_{44}=+0.543470156\) \(a_{45}=+1.520740923\)
\(a_{46}=+0.067706632\) \(a_{47}=+1.667270787\) \(a_{48}=+0.196657986\) \(a_{49}=-0.996319364\) \(a_{50}=+0.329784875\)
\(a_{51}=+1.276476793\) \(a_{52}=-0.589712204\) \(a_{53}=-0.550271896\) \(a_{54}=-1.390465102\) \(a_{55}=-0.535630456\)
\(a_{56}=-0.058448789\) \(a_{57}=+0.058517955\) \(a_{58}=-0.977038986\) \(a_{59}=-0.745843562\) \(a_{60}=-0.794791725\)
\(a_{61}=-0.231067024\) \(a_{62}=+0.525552198\) \(a_{63}=-0.140702258\) \(a_{64}=+0.485550004\) \(a_{65}=+0.581205462\)
\(a_{66}=+0.860981916\) \(a_{67}=-1.569099396\) \(a_{68}=-0.466140999\) \(a_{69}=-0.213219628\) \(a_{70}=+0.023014033\)
\(a_{71}=-0.721172044\) \(a_{72}=+2.234396229\) \(a_{73}=-0.170969856\) \(a_{74}=-0.828520201\) \(a_{75}=-1.038547415\)
\(a_{76}=-0.021369460\) \(a_{77}=+0.049557749\) \(a_{78}=-0.934239984\) \(a_{79}=+0.711323361\) \(a_{80}=+0.070779152\)
\(a_{81}=+2.059581387\) \(a_{82}=-0.487396494\) \(a_{83}=+1.859406185\) \(a_{84}=+0.073535866\) \(a_{85}=+0.459416680\)
\(a_{86}=+0.254794569\) \(a_{87}=+3.076858886\) \(a_{88}=-0.786991819\) \(a_{89}=+0.395747643\) \(a_{90}=-0.879787729\)
\(a_{91}=-0.053774365\) \(a_{92}=+0.077862972\) \(a_{93}=-1.655051236\) \(a_{94}=-0.964559134\) \(a_{95}=+0.021061248\)
\(a_{96}=-1.869008145\) \(a_{97}=-1.327498870\) \(a_{98}=+0.576396284\) \(a_{99}=-1.894505898\) \(a_{100}=+0.379254451\)

Showing 100 of 1912 available coefficients

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