Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 13.7599489451 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.654556789\) \(a_{3}=-1.431441915\) \(a_{4}=-0.571555410\) \(a_{5}=+0.447213596\)
\(a_{6}=-0.936960023\) \(a_{7}=-1.677122545\) \(a_{8}=-1.028672263\) \(a_{9}=+1.049025957\) \(a_{10}=+0.292726695\)
\(a_{11}=-0.317828405\) \(a_{12}=+0.818148371\) \(a_{13}=+0.130642053\) \(a_{14}=-1.097771947\) \(a_{15}=-0.640160286\)
\(a_{16}=-0.101769002\) \(a_{17}=+1.938542499\) \(a_{18}=+0.686647061\) \(a_{19}=-0.523409549\) \(a_{20}=-0.255607351\)
\(a_{21}=+2.400703509\) \(a_{22}=-0.208036740\) \(a_{23}=-0.055845089\) \(a_{24}=+1.472484594\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.085512643\) \(a_{27}=-0.070177810\) \(a_{28}=+0.958568465\) \(a_{29}=-0.206133553\) \(a_{30}=-0.419021261\)
\(a_{31}=-0.914854256\) \(a_{32}=+0.962058671\) \(a_{33}=+0.454952900\) \(a_{34}=+1.268886153\) \(a_{35}=-0.750032004\)
\(a_{36}=-0.599576461\) \(a_{37}=+0.618322928\) \(a_{38}=-0.342601274\) \(a_{39}=-0.187006511\) \(a_{40}=-0.460036221\)
\(a_{41}=-1.016829471\) \(a_{42}=+1.571396779\) \(a_{43}=+0.066946194\) \(a_{44}=+0.181656544\) \(a_{45}=+0.469138670\)
\(a_{46}=-0.036553781\) \(a_{47}=-1.080710161\) \(a_{48}=+0.145676415\) \(a_{49}=+1.812740033\) \(a_{50}=+0.130911358\)
\(a_{51}=-2.774910988\) \(a_{52}=-0.074669172\) \(a_{53}=-0.015576987\) \(a_{54}=-0.045935362\) \(a_{55}=-0.142137191\)
\(a_{56}=+1.725209458\) \(a_{57}=+0.749230359\) \(a_{58}=-0.134926124\) \(a_{59}=+0.131947226\) \(a_{60}=+0.365887085\)
\(a_{61}=-0.704119856\) \(a_{62}=-0.598824120\) \(a_{63}=-1.759344961\) \(a_{64}=+0.731490923\) \(a_{65}=+0.058425043\)
\(a_{66}=+0.297792509\) \(a_{67}=+1.486640710\) \(a_{68}=-1.107984453\) \(a_{69}=+0.079938998\) \(a_{70}=-0.490938540\)
\(a_{71}=+0.885602319\) \(a_{72}=-1.079103904\) \(a_{73}=+0.571850578\) \(a_{74}=+0.404727470\) \(a_{75}=-0.286288383\)
\(a_{76}=+0.299157560\) \(a_{77}=+0.533037183\) \(a_{78}=-0.122406381\) \(a_{79}=+0.690662198\) \(a_{80}=-0.045512481\)
\(a_{81}=-0.948570499\) \(a_{82}=-0.665572634\) \(a_{83}=-0.418157011\) \(a_{84}=-1.372135079\) \(a_{85}=+0.866942559\)
\(a_{86}=+0.043820089\) \(a_{87}=+0.295068207\) \(a_{88}=+0.326941260\) \(a_{89}=+0.909891582\) \(a_{90}=+0.307077902\)
\(a_{91}=-0.219102731\) \(a_{92}=+0.031918563\) \(a_{93}=+1.309560724\) \(a_{94}=-0.707386163\) \(a_{95}=-0.234075874\)
\(a_{96}=-1.377131139\) \(a_{97}=+0.448600846\) \(a_{98}=+1.186541315\) \(a_{99}=-0.333410313\) \(a_{100}=-0.114311031\)

Showing 100 of 5000 available coefficients

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