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: \( 4.03993867343 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.181719880\) \(a_{4}=+0.500000000\) \(a_{5}=+1.550965025\)
\(a_{6}=-0.835602141\) \(a_{7}=+0.622391838\) \(a_{8}=+0.353553391\) \(a_{9}=+0.396461876\) \(a_{10}=+1.096697886\)
\(a_{11}=+1.535454466\) \(a_{12}=-0.590859940\) \(a_{13}=-0.277350098\) \(a_{14}=+0.440097489\) \(a_{15}=-1.832806204\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.744233161\) \(a_{18}=+0.280340881\) \(a_{19}=+1.670315531\) \(a_{20}=+0.775482512\)
\(a_{21}=-0.735492808\) \(a_{22}=+1.085730265\) \(a_{23}=-0.433444329\) \(a_{24}=-0.417801070\) \(a_{25}=+1.405492508\)
\(a_{26}=-0.196116135\) \(a_{27}=+0.713213000\) \(a_{28}=+0.311195919\) \(a_{29}=-0.774877451\) \(a_{30}=-1.295989695\)
\(a_{31}=-0.242037750\) \(a_{32}=+0.176776695\) \(a_{33}=-1.814477068\) \(a_{34}=-0.526252315\) \(a_{35}=+0.965307972\)
\(a_{36}=+0.198230938\) \(a_{37}=-0.905180732\) \(a_{38}=+1.181091438\) \(a_{39}=+0.327750125\) \(a_{40}=+0.548348943\)
\(a_{41}=-0.032093644\) \(a_{42}=-0.520071952\) \(a_{43}=+0.729626683\) \(a_{44}=+0.767727233\) \(a_{45}=+0.614898503\)
\(a_{46}=-0.306491424\) \(a_{47}=-1.897590503\) \(a_{48}=-0.295429970\) \(a_{49}=-0.612628400\) \(a_{50}=+0.993833283\)
\(a_{51}=+0.879475122\) \(a_{52}=-0.138675049\) \(a_{53}=+0.526029490\) \(a_{54}=+0.504317749\) \(a_{55}=+2.381436174\)
\(a_{56}=+0.220048744\) \(a_{57}=-1.973845069\) \(a_{58}=-0.547921100\) \(a_{59}=-0.508736847\) \(a_{60}=-0.916403102\)
\(a_{61}=+0.256398313\) \(a_{62}=-0.171146534\) \(a_{63}=+0.246754636\) \(a_{64}=+0.125000000\) \(a_{65}=-0.430160302\)
\(a_{66}=-1.283029039\) \(a_{67}=-1.371920357\) \(a_{68}=-0.372116580\) \(a_{69}=+0.512209780\) \(a_{70}=+0.682575813\)
\(a_{71}=+1.356811520\) \(a_{72}=+0.140170440\) \(a_{73}=+1.165568648\) \(a_{74}=-0.640059434\) \(a_{75}=-1.660898439\)
\(a_{76}=+0.835157765\) \(a_{77}=+0.955654327\) \(a_{78}=+0.231754336\) \(a_{79}=-0.354692596\) \(a_{80}=+0.387741256\)
\(a_{81}=-1.239279857\) \(a_{82}=-0.022693633\) \(a_{83}=+1.223388974\) \(a_{84}=-0.367746404\) \(a_{85}=-1.154279603\)
\(a_{86}=+0.515923975\) \(a_{87}=+0.915688089\) \(a_{88}=+0.542865133\) \(a_{89}=-0.349398728\) \(a_{90}=+0.434798901\)
\(a_{91}=-0.172620437\) \(a_{92}=-0.216722164\) \(a_{93}=+0.286020821\) \(a_{94}=-1.341799112\) \(a_{95}=+2.590600968\)
\(a_{96}=-0.208900535\) \(a_{97}=-0.915125643\) \(a_{98}=-0.433193696\) \(a_{99}=+0.608749158\) \(a_{100}=+0.702746254\)

Showing 100 of 330 available coefficients

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