Properties

Level $43$
Weight $0$
Character 43.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 43 \)
Weight: \( 0 \)
Character: 43.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 1.80282682958 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.718789365\) \(a_{3}=-1.365168412\) \(a_{4}=+1.954236880\) \(a_{5}=+1.079094365\)
\(a_{6}=+2.346436944\) \(a_{7}=-1.698482220\) \(a_{8}=-1.640132197\) \(a_{9}=+0.863684787\) \(a_{10}=-1.854735918\)
\(a_{11}=+0.433311740\) \(a_{12}=-2.667862452\) \(a_{13}=+0.375091844\) \(a_{14}=+2.919333173\) \(a_{15}=-1.473145538\)
\(a_{16}=+0.864804896\) \(a_{17}=-0.188305572\) \(a_{18}=-1.484492225\) \(a_{19}=-1.513062900\) \(a_{20}=+2.108806003\)
\(a_{21}=+2.318714268\) \(a_{22}=-0.744771609\) \(a_{23}=-0.274237882\) \(a_{24}=+2.239056660\) \(a_{25}=+0.164444649\)
\(a_{26}=-0.644703872\) \(a_{27}=+0.186093229\) \(a_{28}=-3.319236587\) \(a_{29}=-0.391552496\) \(a_{30}=+2.532026887\)
\(a_{31}=+0.831724891\) \(a_{32}=+0.153714746\) \(a_{33}=-0.591543500\) \(a_{34}=+0.323657611\) \(a_{35}=-1.832822590\)
\(a_{36}=+1.687844654\) \(a_{37}=-0.930094463\) \(a_{38}=+2.600636424\) \(a_{39}=-0.512063534\) \(a_{40}=-1.769857424\)
\(a_{41}=-1.049317736\) \(a_{42}=-3.985381425\) \(a_{43}=+0.152498570\) \(a_{44}=+0.846793801\) \(a_{45}=+0.931997377\)
\(a_{46}=+0.471357169\) \(a_{47}=-0.821777399\) \(a_{48}=-1.180604323\) \(a_{49}=+1.884841871\) \(a_{50}=-0.282645721\)
\(a_{51}=+0.257068811\) \(a_{52}=+0.733018305\) \(a_{53}=+1.108124152\) \(a_{54}=-0.319855092\) \(a_{55}=+0.467584287\)
\(a_{56}=+2.785735365\) \(a_{57}=+2.065585586\) \(a_{58}=+0.672996264\) \(a_{59}=+0.207756931\) \(a_{60}=-2.878875331\)
\(a_{61}=-1.881003493\) \(a_{62}=-1.429559897\) \(a_{63}=-1.466953240\) \(a_{64}=-1.129008146\) \(a_{65}=+0.404759470\)
\(a_{66}=+1.016738632\) \(a_{67}=-0.674609939\) \(a_{68}=-0.367993640\) \(a_{69}=+0.374381013\) \(a_{70}=+3.150235923\)
\(a_{71}=+0.006839774\) \(a_{72}=-1.416557286\) \(a_{73}=+0.664459079\) \(a_{74}=+1.598636467\) \(a_{75}=-0.224494614\)
\(a_{76}=-2.956883268\) \(a_{77}=-0.735972280\) \(a_{78}=+0.880129330\) \(a_{79}=-0.494274548\) \(a_{80}=+0.933206111\)
\(a_{81}=-1.117733365\) \(a_{82}=+1.803556143\) \(a_{83}=+0.276515102\) \(a_{84}=+4.531316874\) \(a_{85}=-0.203199397\)
\(a_{86}=-0.262112836\) \(a_{87}=+0.534535156\) \(a_{88}=-0.710688584\) \(a_{89}=+0.991657097\) \(a_{90}=-1.601907126\)
\(a_{91}=-0.637086772\) \(a_{92}=-0.535925753\) \(a_{93}=-1.135444574\) \(a_{94}=+1.412462162\) \(a_{95}=-1.632737731\)
\(a_{96}=-0.209846634\) \(a_{97}=+1.024391023\) \(a_{98}=-3.239646016\) \(a_{99}=+0.374244844\) \(a_{100}=+0.321363858\)

Showing 100 of 1000 available coefficients

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