Properties

Level $293$
Weight $0$
Character 293.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 293 \)
Weight: \( 0 \)
Character: 293.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.87898394439 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.027724192\) \(a_{3}=+1.062102138\) \(a_{4}=+0.056217003\) \(a_{5}=+1.573080078\)
\(a_{6}=-1.091548082\) \(a_{7}=+1.296333445\) \(a_{8}=+0.969948591\) \(a_{9}=+0.128061015\) \(a_{10}=-1.616692454\)
\(a_{11}=-0.097020201\) \(a_{12}=+0.059708210\) \(a_{13}=-1.615573065\) \(a_{14}=-1.332273244\) \(a_{15}=+1.670771747\)
\(a_{16}=-1.053056662\) \(a_{17}=+1.726528777\) \(a_{18}=-0.131611383\) \(a_{19}=+0.124073909\) \(a_{20}=+0.088433874\)
\(a_{21}=+1.376838576\) \(a_{22}=+0.099710025\) \(a_{23}=-0.996138184\) \(a_{24}=+1.030184507\) \(a_{25}=+1.474580944\)
\(a_{26}=+1.660363537\) \(a_{27}=-0.926088301\) \(a_{28}=+0.072875998\) \(a_{29}=+0.447707663\) \(a_{30}=-1.717092533\)
\(a_{31}=+0.303460343\) \(a_{32}=+0.112303190\) \(a_{33}=-0.103045375\) \(a_{34}=-1.774395390\) \(a_{35}=+2.039236330\)
\(a_{36}=+0.007199212\) \(a_{37}=+1.012288244\) \(a_{38}=-0.127513751\) \(a_{39}=-1.715903680\) \(a_{40}=+1.525806822\)
\(a_{41}=+1.753489409\) \(a_{42}=-1.415010314\) \(a_{43}=-1.050618750\) \(a_{44}=-0.005454218\) \(a_{45}=+0.201450244\)
\(a_{46}=+1.023755308\) \(a_{47}=-1.139498200\) \(a_{48}=-1.118453730\) \(a_{49}=+0.680480422\) \(a_{50}=-1.515462530\)
\(a_{51}=+1.833749933\) \(a_{52}=-0.090822706\) \(a_{53}=+0.837523401\) \(a_{54}=+0.951763310\) \(a_{55}=-0.152620570\)
\(a_{56}=+1.257376835\) \(a_{57}=+0.131779163\) \(a_{58}=-0.460120003\) \(a_{59}=-0.733956938\) \(a_{60}=+0.093925817\)
\(a_{61}=-0.388112361\) \(a_{62}=-0.311873530\) \(a_{63}=+0.166009771\) \(a_{64}=+0.937639947\) \(a_{65}=-2.541425842\)
\(a_{66}=+0.105902208\) \(a_{67}=+0.008832216\) \(a_{68}=+0.097060305\) \(a_{69}=-1.058000559\) \(a_{70}=-2.095772504\)
\(a_{71}=-0.655748477\) \(a_{72}=+0.124212577\) \(a_{73}=-1.382767142\) \(a_{74}=-1.040353104\) \(a_{75}=+1.566155633\)
\(a_{76}=+0.006975042\) \(a_{77}=-0.125770557\) \(a_{78}=+1.763475696\) \(a_{79}=-0.022391480\) \(a_{80}=-1.656542476\)
\(a_{81}=-1.111661366\) \(a_{82}=-1.802103456\) \(a_{83}=-0.651781449\) \(a_{84}=+0.077401774\) \(a_{85}=+2.715968004\)
\(a_{86}=+1.079746339\) \(a_{87}=+0.475511277\) \(a_{88}=-0.094104644\) \(a_{89}=-1.642444524\) \(a_{90}=-0.207035244\)
\(a_{91}=-2.094321480\) \(a_{92}=-0.055999902\) \(a_{93}=+0.322305859\) \(a_{94}=+1.171089929\) \(a_{95}=+0.195178183\)
\(a_{96}=+0.119277445\) \(a_{97}=-0.036446317\) \(a_{98}=-0.699346212\) \(a_{99}=-0.012424495\) \(a_{100}=+0.082896567\)

Showing 100 of 952 available coefficients

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