Properties

Level $79$
Weight $0$
Character 79.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 79 \)
Weight: \( 0 \)
Character: 79.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 1.970714894 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.330653380\) \(a_{3}=-1.745132150\) \(a_{4}=+0.770638418\) \(a_{5}=-0.376201569\)
\(a_{6}=-2.322165994\) \(a_{7}=-0.581961140\) \(a_{8}=-0.305200765\) \(a_{9}=+2.045486221\) \(a_{10}=-0.500593889\)
\(a_{11}=-0.880844680\) \(a_{12}=-1.344865879\) \(a_{13}=+0.508656050\) \(a_{14}=-0.774388558\) \(a_{15}=+0.656521453\)
\(a_{16}=-1.176754847\) \(a_{17}=+0.391026950\) \(a_{18}=+2.721833154\) \(a_{19}=+1.038962858\) \(a_{20}=-0.289915382\)
\(a_{21}=+1.015599095\) \(a_{22}=-1.172098951\) \(a_{23}=-0.742126975\) \(a_{24}=+0.532615667\) \(a_{25}=-0.858472379\)
\(a_{26}=+0.676844892\) \(a_{27}=-1.824511617\) \(a_{28}=-0.448481612\) \(a_{29}=-1.217975420\) \(a_{30}=+0.873602490\)
\(a_{31}=-1.815377779\) \(a_{32}=-1.260652050\) \(a_{33}=+1.537190370\) \(a_{34}=+0.520321333\) \(a_{35}=+0.218934694\)
\(a_{36}=+1.576330265\) \(a_{37}=+1.421804753\) \(a_{38}=+1.382499438\) \(a_{39}=-0.887672026\) \(a_{40}=+0.114817007\)
\(a_{41}=+1.338359358\) \(a_{42}=+1.351410369\) \(a_{43}=-1.837551115\) \(a_{44}=-0.678812750\) \(a_{45}=-0.769515126\)
\(a_{46}=-0.987513768\) \(a_{47}=+0.328689744\) \(a_{48}=+2.053592716\) \(a_{49}=-0.661321232\) \(a_{50}=-1.142329173\)
\(a_{51}=-0.682393702\) \(a_{52}=+0.391989894\) \(a_{53}=+1.946846373\) \(a_{54}=-2.427792549\) \(a_{55}=+0.331375151\)
\(a_{56}=+0.177614985\) \(a_{57}=-1.813127485\) \(a_{58}=-1.620703110\) \(a_{59}=+0.154618053\) \(a_{60}=+0.505940654\)
\(a_{61}=-0.185329463\) \(a_{62}=-2.415638577\) \(a_{63}=-1.190393493\) \(a_{64}=-0.500736064\) \(a_{65}=-0.191357204\)
\(a_{66}=+2.045467562\) \(a_{67}=+0.448551041\) \(a_{68}=+0.301340390\) \(a_{69}=+1.295109644\) \(a_{70}=+0.291326191\)
\(a_{71}=-0.862669359\) \(a_{72}=-0.624283959\) \(a_{73}=-0.274679366\) \(a_{74}=+1.891929300\) \(a_{75}=+1.498147749\)
\(a_{76}=+0.800664693\) \(a_{77}=+0.512617374\) \(a_{78}=-1.181183782\) \(a_{79}=-0.112508791\) \(a_{80}=+0.442697020\)
\(a_{81}=+1.138527659\) \(a_{82}=+1.780892404\) \(a_{83}=+0.660024767\) \(a_{84}=+0.782659680\) \(a_{85}=-0.147104952\)
\(a_{86}=-2.445143602\) \(a_{87}=+2.125528064\) \(a_{88}=+0.268834470\) \(a_{89}=-0.523258572\) \(a_{90}=-1.023957903\)
\(a_{91}=-0.296018055\) \(a_{92}=-0.571911558\) \(a_{93}=+3.168074126\) \(a_{94}=+0.437372119\) \(a_{95}=-0.390859457\)
\(a_{96}=+2.200004422\) \(a_{97}=-1.725868871\) \(a_{98}=-0.879989332\) \(a_{99}=-1.801755656\) \(a_{100}=-0.661571796\)

Showing 100 of 546 available coefficients

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