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: \( 3.87839736737 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.456094337\) \(a_{3}=+1.388577697\) \(a_{4}=+1.120210719\) \(a_{5}=-0.550499459\)
\(a_{6}=-2.021900121\) \(a_{7}=+0.157620970\) \(a_{8}=-0.175038147\) \(a_{9}=+0.928148021\) \(a_{10}=+0.801579145\)
\(a_{11}=-0.486601757\) \(a_{12}=+1.555499620\) \(a_{13}=-1.180799816\) \(a_{14}=-0.229511003\) \(a_{15}=-0.764411271\)
\(a_{16}=-0.865338664\) \(a_{17}=+0.715536826\) \(a_{18}=-1.351471077\) \(a_{19}=-0.412327247\) \(a_{20}=-0.616675395\)
\(a_{21}=+0.218868964\) \(a_{22}=+0.708538062\) \(a_{23}=-1.528180732\) \(a_{24}=-0.243054067\) \(a_{25}=-0.696950346\)
\(a_{26}=+1.719355925\) \(a_{27}=-0.099772056\) \(a_{28}=+0.176568701\) \(a_{29}=+0.336344895\) \(a_{30}=+1.113054923\)
\(a_{31}=-0.867911808\) \(a_{32}=+1.435052876\) \(a_{33}=-0.675684346\) \(a_{34}=-1.041889120\) \(a_{35}=-0.086770259\)
\(a_{36}=+1.039721361\) \(a_{37}=+0.126360005\) \(a_{38}=+0.600387369\) \(a_{39}=-1.639632288\) \(a_{40}=+0.096358405\)
\(a_{41}=-1.351807345\) \(a_{42}=-0.318693859\) \(a_{43}=+0.152498570\) \(a_{44}=-0.545096503\) \(a_{45}=-0.510944983\)
\(a_{46}=+2.225175310\) \(a_{47}=+1.735038076\) \(a_{48}=-1.201589970\) \(a_{49}=-0.975155630\) \(a_{50}=+1.014825451\)
\(a_{51}=+0.993578478\) \(a_{52}=-1.322744610\) \(a_{53}=+0.598714809\) \(a_{54}=+0.145277526\) \(a_{55}=+0.267874004\)
\(a_{56}=-0.027589683\) \(a_{57}=-0.572548419\) \(a_{58}=-0.489749898\) \(a_{59}=-1.191701215\) \(a_{60}=-0.856301699\)
\(a_{61}=-0.142081103\) \(a_{62}=+1.263761470\) \(a_{63}=+0.146295592\) \(a_{64}=-1.224233702\) \(a_{65}=+0.650029660\)
\(a_{66}=+0.983860151\) \(a_{67}=-0.399990187\) \(a_{68}=+0.801552022\) \(a_{69}=-2.121997681\) \(a_{70}=+0.126345683\)
\(a_{71}=+1.278027046\) \(a_{72}=-0.162461310\) \(a_{73}=-1.187668104\) \(a_{74}=-0.183992087\) \(a_{75}=-0.967769706\)
\(a_{76}=-0.461893401\) \(a_{77}=-0.076698641\) \(a_{78}=+2.387459290\) \(a_{79}=+0.586867135\) \(a_{80}=+0.476368467\)
\(a_{81}=-1.066689272\) \(a_{82}=+1.968359020\) \(a_{83}=+1.491524148\) \(a_{84}=+0.245179360\) \(a_{85}=-0.393902636\)
\(a_{86}=-0.222052305\) \(a_{87}=+0.467041020\) \(a_{88}=+0.085173870\) \(a_{89}=+1.668655814\) \(a_{90}=+0.743984097\)
\(a_{91}=-0.186118813\) \(a_{92}=-1.711884436\) \(a_{93}=-1.205162980\) \(a_{94}=-2.526379117\) \(a_{95}=+0.226985926\)
\(a_{96}=+1.992682417\) \(a_{97}=-0.621904314\) \(a_{98}=+1.419918590\) \(a_{99}=-0.451638457\) \(a_{100}=-0.780731248\)

Showing 100 of 546 available coefficients

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