Properties

Level $26$
Weight $0$
Character 26.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 5.14910415379 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+1.626971546\) \(a_{4}=+0.500000000\) \(a_{5}=+1.565015658\)
\(a_{6}=+1.150442613\) \(a_{7}=-1.696114437\) \(a_{8}=+0.353553391\) \(a_{9}=+1.647036413\) \(a_{10}=+1.106633184\)
\(a_{11}=+0.560859898\) \(a_{12}=+0.813485773\) \(a_{13}=-0.277350098\) \(a_{14}=-1.199334020\) \(a_{15}=+2.546235945\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.597570265\) \(a_{18}=+1.164630616\) \(a_{19}=-0.159673992\) \(a_{20}=+0.782507829\)
\(a_{21}=-2.759529929\) \(a_{22}=+0.396587837\) \(a_{23}=+0.357822445\) \(a_{24}=+0.575221307\) \(a_{25}=+1.449274008\)
\(a_{26}=-0.196116135\) \(a_{27}=+1.052709833\) \(a_{28}=-0.848057219\) \(a_{29}=-1.000582566\) \(a_{30}=+1.800460703\)
\(a_{31}=+0.848920887\) \(a_{32}=+0.176776695\) \(a_{33}=+0.912503096\) \(a_{34}=-0.422545987\) \(a_{35}=-2.654445651\)
\(a_{36}=+0.823518206\) \(a_{37}=-1.026142208\) \(a_{38}=-0.112906562\) \(a_{39}=-0.451240718\) \(a_{40}=+0.553316592\)
\(a_{41}=-0.155956818\) \(a_{42}=-1.951282326\) \(a_{43}=-0.659484907\) \(a_{44}=+0.280429949\) \(a_{45}=+2.577637775\)
\(a_{46}=+0.253018677\) \(a_{47}=-0.409831367\) \(a_{48}=+0.406742887\) \(a_{49}=+1.876804184\) \(a_{50}=+1.024791479\)
\(a_{51}=-0.972229818\) \(a_{52}=-0.138675049\) \(a_{53}=-1.813732522\) \(a_{54}=+0.744378262\) \(a_{55}=+0.877754522\)
\(a_{56}=-0.599667010\) \(a_{57}=-0.259785041\) \(a_{58}=-0.707518718\) \(a_{59}=+0.684379407\) \(a_{60}=+1.273117972\)
\(a_{61}=-0.486566424\) \(a_{62}=+0.600277716\) \(a_{63}=-2.793562239\) \(a_{64}=+0.125000000\) \(a_{65}=-0.434057246\)
\(a_{66}=+0.645237127\) \(a_{67}=+1.214166108\) \(a_{68}=-0.298785132\) \(a_{69}=+0.582166936\) \(a_{70}=-1.876976520\)
\(a_{71}=+0.396450615\) \(a_{72}=+0.582315308\) \(a_{73}=-0.482895782\) \(a_{74}=-0.725592114\) \(a_{75}=+2.357927574\)
\(a_{76}=-0.079836996\) \(a_{77}=-0.951282570\) \(a_{78}=-0.319075372\) \(a_{79}=+1.326849669\) \(a_{80}=+0.391253914\)
\(a_{81}=+0.065692533\) \(a_{82}=-0.110278123\) \(a_{83}=-1.962765135\) \(a_{84}=-1.379764964\) \(a_{85}=-0.935206821\)
\(a_{86}=-0.466326250\) \(a_{87}=-1.627919365\) \(a_{88}=+0.198293919\) \(a_{89}=+1.608444032\) \(a_{90}=+1.822665150\)
\(a_{91}=+0.470417506\) \(a_{92}=+0.178911222\) \(a_{93}=+1.381170129\) \(a_{94}=-0.289794539\) \(a_{95}=-0.249892297\)
\(a_{96}=+0.287610653\) \(a_{97}=+1.287638840\) \(a_{98}=+1.327100966\) \(a_{99}=+0.923756675\) \(a_{100}=+0.724637004\)

Showing 100 of 270 available coefficients

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