Properties

Level $181$
Weight $0$
Character 181.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 181 \)
Weight: \( 0 \)
Character: 181.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.88372745264 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.912247351\) \(a_{3}=-1.301172718\) \(a_{4}=+2.656689927\) \(a_{5}=-0.510333819\)
\(a_{6}=+2.488164085\) \(a_{7}=-1.857597119\) \(a_{8}=-3.168000924\) \(a_{9}=+0.693050445\) \(a_{10}=+0.975884493\)
\(a_{11}=-0.785287336\) \(a_{12}=-3.456812458\) \(a_{13}=+0.184772946\) \(a_{14}=+3.552185172\) \(a_{15}=+0.664032440\)
\(a_{16}=+3.401311440\) \(a_{17}=+0.696242905\) \(a_{18}=-1.325283871\) \(a_{19}=+0.166142163\) \(a_{20}=-1.355798712\)
\(a_{21}=+2.417054692\) \(a_{22}=+1.501663624\) \(a_{23}=+0.559608148\) \(a_{24}=+4.122116371\) \(a_{25}=-0.739559398\)
\(a_{26}=-0.353331577\) \(a_{27}=+0.399394396\) \(a_{28}=-4.935059556\) \(a_{29}=-0.002512064\) \(a_{30}=-1.269794275\)
\(a_{31}=+0.677516529\) \(a_{32}=-3.336147869\) \(a_{33}=+1.021794458\) \(a_{34}=-1.331388650\) \(a_{35}=+0.947994624\)
\(a_{36}=+1.841220137\) \(a_{37}=+0.842863129\) \(a_{38}=-0.317704923\) \(a_{39}=-0.240421520\) \(a_{40}=+1.616738011\)
\(a_{41}=-0.982702986\) \(a_{42}=-4.622006441\) \(a_{43}=-1.617547448\) \(a_{44}=-2.086264956\) \(a_{45}=-0.353687076\)
\(a_{46}=-1.070109188\) \(a_{47}=+0.661176268\) \(a_{48}=-4.425693659\) \(a_{49}=+2.450667059\) \(a_{50}=+1.414220492\)
\(a_{51}=-0.905932279\) \(a_{52}=+0.490884426\) \(a_{53}=+0.723745734\) \(a_{54}=-0.763740853\) \(a_{55}=+0.400758674\)
\(a_{56}=+5.884869388\) \(a_{57}=-0.216179649\) \(a_{58}=+0.004803674\) \(a_{59}=+0.742521304\) \(a_{60}=+1.764128304\)
\(a_{61}=-0.259060778\) \(a_{62}=-1.295579196\) \(a_{63}=-1.287408503\) \(a_{64}=+2.978228475\) \(a_{65}=-0.094295888\)
\(a_{66}=-1.953923739\) \(a_{67}=-0.175214998\) \(a_{68}=+1.849701519\) \(a_{69}=-0.728146853\) \(a_{70}=-1.812800210\)
\(a_{71}=-1.373945077\) \(a_{72}=-2.195584438\) \(a_{73}=-0.386636127\) \(a_{74}=-1.611762761\) \(a_{75}=+0.962294517\)
\(a_{76}=+0.441388205\) \(a_{77}=+1.458747496\) \(a_{78}=+0.459745410\) \(a_{79}=+0.608472759\) \(a_{80}=-1.735804264\)
\(a_{81}=-1.212731520\) \(a_{82}=+1.879171185\) \(a_{83}=-1.306230433\) \(a_{84}=+6.421364859\) \(a_{85}=-0.355316300\)
\(a_{86}=+3.093150833\) \(a_{87}=+0.003268630\) \(a_{88}=+2.487790995\) \(a_{89}=-0.770665664\) \(a_{90}=+0.676337210\)
\(a_{91}=-0.343233707\) \(a_{92}=+1.486705315\) \(a_{93}=-0.881566019\) \(a_{94}=-1.264332557\) \(a_{95}=-0.084787957\)
\(a_{96}=+4.340904572\) \(a_{97}=+1.611253783\) \(a_{98}=-4.686281573\) \(a_{99}=-0.544243733\) \(a_{100}=-1.964780000\)

Showing 100 of 606 available coefficients

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