Properties

Level $26$
Weight $0$
Character 26.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 7.04930384889 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+1.892891754\) \(a_{4}=+0.500000000\) \(a_{5}=+0.806450079\)
\(a_{6}=+1.338476595\) \(a_{7}=+0.742498360\) \(a_{8}=+0.353553391\) \(a_{9}=+2.583039192\) \(a_{10}=+0.570246319\)
\(a_{11}=-1.265844604\) \(a_{12}=+0.946445877\) \(a_{13}=+0.277350098\) \(a_{14}=+0.525025625\) \(a_{15}=+1.526522704\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.565118829\) \(a_{18}=+1.826484529\) \(a_{19}=-1.492498673\) \(a_{20}=+0.403225039\)
\(a_{21}=+1.405469023\) \(a_{22}=-0.895087304\) \(a_{23}=+0.487037868\) \(a_{24}=+0.669238298\) \(a_{25}=-0.349638271\)
\(a_{26}=+0.196116135\) \(a_{27}=+2.996521834\) \(a_{28}=+0.371249180\) \(a_{29}=+0.596389156\) \(a_{30}=+1.079414556\)
\(a_{31}=+0.341133157\) \(a_{32}=+0.176776695\) \(a_{33}=-2.396106814\) \(a_{34}=-1.106706138\) \(a_{35}=+0.598787861\)
\(a_{36}=+1.291519596\) \(a_{37}=+0.046935730\) \(a_{38}=-1.055355933\) \(a_{39}=+0.524993714\) \(a_{40}=+0.285123160\)
\(a_{41}=-0.831878450\) \(a_{42}=+0.993816677\) \(a_{43}=+0.418600722\) \(a_{44}=-0.632922302\) \(a_{45}=+2.083092160\)
\(a_{46}=+0.344387779\) \(a_{47}=+0.901111446\) \(a_{48}=+0.473222939\) \(a_{49}=-0.448696186\) \(a_{50}=-0.247231592\)
\(a_{51}=-2.962600526\) \(a_{52}=+0.138675049\) \(a_{53}=+1.094540571\) \(a_{54}=+2.118860909\) \(a_{55}=-1.020840481\)
\(a_{56}=+0.262512813\) \(a_{57}=-2.825138432\) \(a_{58}=+0.421710816\) \(a_{59}=+0.333328905\) \(a_{60}=+0.763261352\)
\(a_{61}=+0.131941531\) \(a_{62}=+0.241217569\) \(a_{63}=+1.917902364\) \(a_{64}=+0.125000000\) \(a_{65}=+0.223669008\)
\(a_{66}=-1.694303376\) \(a_{67}=-0.685301702\) \(a_{68}=-0.782559415\) \(a_{69}=+0.921909965\) \(a_{70}=+0.423406957\)
\(a_{71}=-0.840790509\) \(a_{72}=+0.913242265\) \(a_{73}=-0.615284464\) \(a_{74}=+0.033188573\) \(a_{75}=-0.661827399\)
\(a_{76}=-0.746249337\) \(a_{77}=-0.939887543\) \(a_{78}=+0.371226615\) \(a_{79}=-0.900829619\) \(a_{80}=+0.201612520\)
\(a_{81}=+3.089052277\) \(a_{82}=-0.588226893\) \(a_{83}=-0.407641166\) \(a_{84}=+0.702734511\) \(a_{85}=-1.262190204\)
\(a_{86}=+0.295995409\) \(a_{87}=+1.128900116\) \(a_{88}=-0.447543652\) \(a_{89}=+1.642346435\) \(a_{90}=+1.472968592\)
\(a_{91}=+0.205931993\) \(a_{92}=+0.243518934\) \(a_{93}=+0.645728141\) \(a_{94}=+0.637182014\) \(a_{95}=-1.203625674\)
\(a_{96}=+0.334619149\) \(a_{97}=-0.176157914\) \(a_{98}=-0.317276115\) \(a_{99}=-3.269726226\) \(a_{100}=-0.174819135\)

Showing 100 of 280 available coefficients

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