Properties

Level $73$
Weight $0$
Character 73.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 73 \)
Weight: \( 0 \)
Character: 73.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 2.71360066849 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.936920653\) \(a_{3}=+0.615846688\) \(a_{4}=+2.751661617\) \(a_{5}=+0.276139000\)
\(a_{6}=+1.192846170\) \(a_{7}=-0.994048337\) \(a_{8}=+3.392829563\) \(a_{9}=-0.620732856\) \(a_{10}=+0.534859333\)
\(a_{11}=-0.401407689\) \(a_{12}=+1.694601695\) \(a_{13}=+1.342778934\) \(a_{14}=-1.925392755\) \(a_{15}=+0.170059289\)
\(a_{16}=+3.819980037\) \(a_{17}=-0.765863567\) \(a_{18}=-1.202310289\) \(a_{19}=-1.628459850\) \(a_{20}=+0.759841088\)
\(a_{21}=-0.612181377\) \(a_{22}=-0.777494844\) \(a_{23}=+0.683601770\) \(a_{24}=+2.089462851\) \(a_{25}=-0.923747253\)
\(a_{26}=+2.600856250\) \(a_{27}=-0.998122962\) \(a_{28}=-2.735284655\) \(a_{29}=+0.499414638\) \(a_{30}=+0.329391349\)
\(a_{31}=+0.892688710\) \(a_{32}=+4.006168665\) \(a_{33}=-0.247205596\) \(a_{34}=-1.483416961\) \(a_{35}=-0.274495514\)
\(a_{36}=-1.708046775\) \(a_{37}=-0.885566564\) \(a_{38}=-3.154197516\) \(a_{39}=+0.826945960\) \(a_{40}=+0.936892564\)
\(a_{41}=+0.574027376\) \(a_{42}=-1.185746752\) \(a_{43}=+0.671184929\) \(a_{44}=-1.104538131\) \(a_{45}=-0.171408550\)
\(a_{46}=+1.324082386\) \(a_{47}=+0.083613055\) \(a_{48}=+2.352522056\) \(a_{49}=-0.011867903\) \(a_{50}=-1.789225132\)
\(a_{51}=-0.471654542\) \(a_{52}=+3.694873253\) \(a_{53}=+1.789594009\) \(a_{54}=-1.933284980\) \(a_{55}=-0.110844318\)
\(a_{56}=-3.372636586\) \(a_{57}=-1.002881606\) \(a_{58}=+0.967326527\) \(a_{59}=+1.168487866\) \(a_{60}=+0.467945618\)
\(a_{61}=+1.179676971\) \(a_{62}=+1.729067200\) \(a_{63}=+0.617038464\) \(a_{64}=+3.939650791\) \(a_{65}=+0.370793633\)
\(a_{66}=-0.478817625\) \(a_{67}=-0.013761584\) \(a_{68}=-2.107397382\) \(a_{69}=+0.420993886\) \(a_{70}=-0.531676030\)
\(a_{71}=+0.246868819\) \(a_{72}=-2.106040786\) \(a_{73}=+0.117041147\) \(a_{74}=-1.715272167\) \(a_{75}=-0.568886686\)
\(a_{76}=-4.480970464\) \(a_{77}=+0.399018646\) \(a_{78}=+1.601728709\) \(a_{79}=-1.271508356\) \(a_{80}=+1.054845469\)
\(a_{81}=+0.006042135\) \(a_{82}=+1.111845481\) \(a_{83}=-1.029568334\) \(a_{84}=-1.684515997\) \(a_{85}=-0.211484800\)
\(a_{86}=+1.300031951\) \(a_{87}=+0.307562851\) \(a_{88}=-1.361907875\) \(a_{89}=-1.549793594\) \(a_{90}=-0.332004761\)
\(a_{91}=-1.334787167\) \(a_{92}=+1.881040751\) \(a_{93}=+0.549759386\) \(a_{94}=+0.161951854\) \(a_{95}=-0.449681275\)
\(a_{96}=+2.467185706\) \(a_{97}=+1.752221405\) \(a_{98}=-0.022987187\) \(a_{99}=+0.249166941\) \(a_{100}=-2.541839858\)

Showing 100 of 546 available coefficients

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