Properties

Level $5$
Weight $0$
Character 5.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 12.8554583746 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.341079827\) \(a_{3}=-1.833251395\) \(a_{4}=+0.798495103\) \(a_{5}=-0.447213595\)
\(a_{6}=-2.458536464\) \(a_{7}=+0.266431074\) \(a_{8}=-0.270234153\) \(a_{9}=+2.360810678\) \(a_{10}=-0.599749131\)
\(a_{11}=+0.393694490\) \(a_{12}=-1.463842261\) \(a_{13}=+1.451014904\) \(a_{14}=+0.357305339\) \(a_{15}=+0.819854948\)
\(a_{16}=-1.160900674\) \(a_{17}=-0.005596717\) \(a_{18}=+3.166035576\) \(a_{19}=+0.890935300\) \(a_{20}=-0.357097866\)
\(a_{21}=-0.488435138\) \(a_{22}=+0.527975740\) \(a_{23}=+0.237204636\) \(a_{24}=+0.495407137\) \(a_{25}=+0.199951172\)
\(a_{26}=+1.945926816\) \(a_{27}=-2.494708073\) \(a_{28}=+0.212743908\) \(a_{29}=+0.622356789\) \(a_{30}=+1.099490932\)
\(a_{31}=+0.187249295\) \(a_{32}=-1.286626322\) \(a_{33}=-0.721740973\) \(a_{34}=-0.007505645\) \(a_{35}=-0.119151599\)
\(a_{36}=+1.885095765\) \(a_{37}=-0.092807693\) \(a_{38}=+1.194815358\) \(a_{39}=-2.660075097\) \(a_{40}=+0.120852387\)
\(a_{41}=+1.707607975\) \(a_{42}=-0.655030511\) \(a_{43}=-0.844333755\) \(a_{44}=+0.314363122\) \(a_{45}=-1.055786632\)
\(a_{46}=+0.318110352\) \(a_{47}=-0.124849874\) \(a_{48}=+2.128222779\) \(a_{49}=-0.929014483\) \(a_{50}=+0.268215966\)
\(a_{51}=+0.010260190\) \(a_{52}=+1.158628294\) \(a_{53}=+0.972966587\) \(a_{54}=-3.345602672\) \(a_{55}=-0.176065529\)
\(a_{56}=-0.071998776\) \(a_{57}=-1.633308381\) \(a_{58}=+0.834630140\) \(a_{59}=+1.756579276\) \(a_{60}=+0.654650151\)
\(a_{61}=+0.106984721\) \(a_{62}=+0.251116277\) \(a_{63}=+0.628993280\) \(a_{64}=-0.564567950\) \(a_{65}=-0.648913592\)
\(a_{66}=-0.967912259\) \(a_{67}=+0.451756976\) \(a_{68}=-0.004468951\) \(a_{69}=-0.434855730\) \(a_{70}=-0.159791805\)
\(a_{71}=+0.513000236\) \(a_{72}=-0.637971673\) \(a_{73}=+1.524680158\) \(a_{74}=-0.124462525\) \(a_{75}=-0.366650279\)
\(a_{76}=+0.711407474\) \(a_{77}=+0.104892446\) \(a_{78}=-3.567373051\) \(a_{79}=+0.150504508\) \(a_{80}=+0.519170564\)
\(a_{81}=+2.212616379\) \(a_{82}=+2.290038609\) \(a_{83}=-0.474221948\) \(a_{84}=-0.390013066\) \(a_{85}=+0.002502928\)
\(a_{86}=-1.132318967\) \(a_{87}=-1.140936451\) \(a_{88}=-0.106389697\) \(a_{89}=+0.557724143\) \(a_{90}=-1.415894153\)
\(a_{91}=+0.386595457\) \(a_{92}=+0.189406739\) \(a_{93}=-0.343275031\) \(a_{94}=-0.167433648\) \(a_{95}=-0.398438373\)
\(a_{96}=+2.358709502\) \(a_{97}=+1.056708166\) \(a_{98}=-1.245882585\) \(a_{99}=+0.929438144\) \(a_{100}=+0.159699017\)

Showing 100 of 5000 available coefficients

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