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: \( 5.7070152258 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+1.529803685\) \(a_{4}=+0.500000000\) \(a_{5}=+1.928371185\)
\(a_{6}=-1.081734560\) \(a_{7}=+1.001296401\) \(a_{8}=-0.353553391\) \(a_{9}=+1.340299315\) \(a_{10}=-1.363564342\)
\(a_{11}=-0.689997355\) \(a_{12}=+0.764901842\) \(a_{13}=-0.277350098\) \(a_{14}=-0.708023475\) \(a_{15}=+2.950029345\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.803221138\) \(a_{18}=-0.947734734\) \(a_{19}=-1.436592779\) \(a_{20}=+0.964185592\)
\(a_{21}=+1.531786924\) \(a_{22}=+0.487901809\) \(a_{23}=-0.891352993\) \(a_{24}=-0.540867280\) \(a_{25}=+2.718615427\)
\(a_{26}=+0.196116135\) \(a_{27}=+0.520591146\) \(a_{28}=+0.500648200\) \(a_{29}=-0.786423020\) \(a_{30}=-2.085985754\)
\(a_{31}=-0.135648251\) \(a_{32}=-0.176776695\) \(a_{33}=-1.055560496\) \(a_{34}=-0.567963114\) \(a_{35}=+1.930871127\)
\(a_{36}=+0.670149657\) \(a_{37}=+1.042703598\) \(a_{38}=+1.015824496\) \(a_{39}=-0.424291202\) \(a_{40}=-0.681782171\)
\(a_{41}=-0.639584930\) \(a_{42}=-1.083136921\) \(a_{43}=+0.272809574\) \(a_{44}=-0.344998677\) \(a_{45}=+2.584594578\)
\(a_{46}=+0.630281746\) \(a_{47}=+0.189700081\) \(a_{48}=+0.382450921\) \(a_{49}=+0.002594483\) \(a_{50}=-1.922351404\)
\(a_{51}=+1.228770658\) \(a_{52}=-0.138675049\) \(a_{53}=-0.187521274\) \(a_{54}=-0.368113529\) \(a_{55}=-1.330571017\)
\(a_{56}=-0.354011738\) \(a_{57}=-2.197704927\) \(a_{58}=+0.556085050\) \(a_{59}=+0.238017416\) \(a_{60}=+1.475014672\)
\(a_{61}=-0.478252334\) \(a_{62}=+0.095917798\) \(a_{63}=+1.342036880\) \(a_{64}=+0.125000000\) \(a_{65}=-0.534833937\)
\(a_{66}=+0.746393985\) \(a_{67}=-0.243268865\) \(a_{68}=+0.401610569\) \(a_{69}=-1.363595093\) \(a_{70}=-1.365332068\)
\(a_{71}=+0.425790411\) \(a_{72}=-0.473867367\) \(a_{73}=+0.821833285\) \(a_{74}=-0.737302785\) \(a_{75}=+4.158947899\)
\(a_{76}=-0.718296389\) \(a_{77}=-0.690891868\) \(a_{78}=+0.300019186\) \(a_{79}=-1.169183208\) \(a_{80}=+0.482092796\)
\(a_{81}=-0.543897062\) \(a_{82}=+0.452254841\) \(a_{83}=+1.304794535\) \(a_{84}=+0.765893462\) \(a_{85}=+1.548908499\)
\(a_{86}=-0.192905500\) \(a_{87}=-1.203072834\) \(a_{88}=+0.243950904\) \(a_{89}=+0.489804645\) \(a_{90}=-1.827584352\)
\(a_{91}=-0.277709655\) \(a_{92}=-0.445676496\) \(a_{93}=-0.207515195\) \(a_{94}=-0.134138214\) \(a_{95}=-2.770284120\)
\(a_{96}=-0.270433640\) \(a_{97}=+0.031291220\) \(a_{98}=-0.001834576\) \(a_{99}=-0.924802982\) \(a_{100}=+1.359307714\)

Showing 100 of 292 available coefficients

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