Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 8.2261459726 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.799595235\) \(a_{3}=+0.465133621\) \(a_{4}=+2.238543010\) \(a_{5}=-0.447213596\)
\(a_{6}=-0.837052249\) \(a_{7}=+1.156017597\) \(a_{8}=-2.228876099\) \(a_{9}=-0.783650714\) \(a_{10}=+0.804803456\)
\(a_{11}=-0.767652792\) \(a_{12}=+1.041221617\) \(a_{13}=-0.012670169\) \(a_{14}=-2.080363759\) \(a_{15}=-0.208014081\)
\(a_{16}=+1.772531800\) \(a_{17}=-0.371371824\) \(a_{18}=+1.410254091\) \(a_{19}=-1.569703486\) \(a_{20}=-1.001106868\)
\(a_{21}=+0.537702652\) \(a_{22}=+1.381464307\) \(a_{23}=-0.425696972\) \(a_{24}=-1.036725212\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.022801175\) \(a_{27}=-0.829635916\) \(a_{28}=+2.587795112\) \(a_{29}=-0.881012172\) \(a_{30}=+0.374341146\)
\(a_{31}=-0.251461014\) \(a_{32}=-0.960963678\) \(a_{33}=-0.357061123\) \(a_{34}=+0.668318965\) \(a_{35}=-0.516986786\)
\(a_{36}=-1.754235829\) \(a_{37}=+0.725374690\) \(a_{38}=+2.824830914\) \(a_{39}=-0.005893322\) \(a_{40}=+0.996783694\)
\(a_{41}=-0.709544516\) \(a_{42}=-0.967647130\) \(a_{43}=-0.772793052\) \(a_{44}=-1.718423794\) \(a_{45}=+0.350459255\)
\(a_{46}=+0.766082240\) \(a_{47}=+0.154730871\) \(a_{48}=+0.824464135\) \(a_{49}=+0.336376674\) \(a_{50}=-0.359919040\)
\(a_{51}=-0.172737552\) \(a_{52}=-0.028362683\) \(a_{53}=+0.139343445\) \(a_{54}=+1.493008893\) \(a_{55}=+0.343304676\)
\(a_{56}=-2.576619991\) \(a_{57}=-0.730121970\) \(a_{58}=+1.585465180\) \(a_{59}=-0.663064137\) \(a_{60}=-0.465648931\)
\(a_{61}=+1.186462332\) \(a_{62}=+0.452528043\) \(a_{63}=-0.905914016\) \(a_{64}=-0.043186141\) \(a_{65}=+0.005666272\)
\(a_{66}=+0.642565496\) \(a_{67}=-1.188377635\) \(a_{68}=-0.831331800\) \(a_{69}=-0.198005975\) \(a_{70}=+0.930366957\)
\(a_{71}=+1.523493434\) \(a_{72}=+1.746660347\) \(a_{73}=+1.273340752\) \(a_{74}=-1.305380838\) \(a_{75}=+0.093026725\)
\(a_{76}=-3.513848769\) \(a_{77}=-0.887420136\) \(a_{78}=+0.010605593\) \(a_{79}=+0.838076254\) \(a_{80}=-0.792700322\)
\(a_{81}=+0.397759152\) \(a_{82}=+1.276892944\) \(a_{83}=-1.465023880\) \(a_{84}=+1.203670517\) \(a_{85}=+0.166082535\)
\(a_{86}=+1.390714714\) \(a_{87}=-0.409788395\) \(a_{88}=+1.711002971\) \(a_{89}=-0.593473569\) \(a_{90}=-0.630684816\)
\(a_{91}=-0.014646943\) \(a_{92}=-0.952941019\) \(a_{93}=-0.116962745\) \(a_{94}=-0.278453093\) \(a_{95}=+0.701992769\)
\(a_{96}=-0.446976525\) \(a_{97}=-1.796439265\) \(a_{98}=-0.605342045\) \(a_{99}=+0.601572072\) \(a_{100}=+0.447708818\)

Showing 100 of 5000 available coefficients

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