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: \( 6.57396759328 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+0.282447143\) \(a_{4}=+0.500000000\) \(a_{5}=+0.064406338\)
\(a_{6}=+0.199720290\) \(a_{7}=-1.352491808\) \(a_{8}=+0.353553391\) \(a_{9}=-0.920223611\) \(a_{10}=+0.045542158\)
\(a_{11}=+0.684127946\) \(a_{12}=+0.141223572\) \(a_{13}=+0.277350098\) \(a_{14}=-0.956356129\) \(a_{15}=+0.018191386\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.537756151\) \(a_{18}=-0.650696356\) \(a_{19}=-1.317434263\) \(a_{20}=+0.032203169\)
\(a_{21}=-0.382007448\) \(a_{22}=+0.483751510\) \(a_{23}=+0.358338744\) \(a_{24}=+0.099860145\) \(a_{25}=-0.995851824\)
\(a_{26}=+0.196116135\) \(a_{27}=-0.542361674\) \(a_{28}=-0.676245904\) \(a_{29}=+0.238171532\) \(a_{30}=+0.012863252\)
\(a_{31}=-1.036205362\) \(a_{32}=+0.176776695\) \(a_{33}=+0.193229984\) \(a_{34}=-1.087357802\) \(a_{35}=-0.087109044\)
\(a_{36}=-0.460111806\) \(a_{37}=-0.728633750\) \(a_{38}=-0.931566701\) \(a_{39}=+0.078336743\) \(a_{40}=+0.022771079\)
\(a_{41}=+1.387706664\) \(a_{42}=-0.270120057\) \(a_{43}=+1.569603388\) \(a_{44}=+0.342063973\) \(a_{45}=-0.059268233\)
\(a_{46}=+0.253383756\) \(a_{47}=-1.646763261\) \(a_{48}=+0.070611786\) \(a_{49}=+0.829234090\) \(a_{50}=-0.704173578\)
\(a_{51}=-0.434334832\) \(a_{52}=+0.138675049\) \(a_{53}=+1.043729241\) \(a_{54}=-0.383507617\) \(a_{55}=+0.044062175\)
\(a_{56}=-0.478178064\) \(a_{57}=-0.372105544\) \(a_{58}=+0.168412705\) \(a_{59}=+0.417139068\) \(a_{60}=+0.009095693\)
\(a_{61}=-1.366183349\) \(a_{62}=-0.732707838\) \(a_{63}=+1.244594896\) \(a_{64}=+0.125000000\) \(a_{65}=+0.017863104\)
\(a_{66}=+0.136634232\) \(a_{67}=-0.289755196\) \(a_{68}=-0.768878075\) \(a_{69}=+0.101211755\) \(a_{70}=-0.061595396\)
\(a_{71}=+1.606549028\) \(a_{72}=-0.325348178\) \(a_{73}=+0.378039735\) \(a_{74}=-0.515221865\) \(a_{75}=-0.281275503\)
\(a_{76}=-0.658717131\) \(a_{77}=-0.925277443\) \(a_{78}=+0.055392442\) \(a_{79}=-0.064888678\) \(a_{80}=+0.016101584\)
\(a_{81}=+0.767035106\) \(a_{82}=+0.981256793\) \(a_{83}=+0.810666866\) \(a_{84}=-0.191003724\) \(a_{85}=-0.099041242\)
\(a_{86}=+1.109877199\) \(a_{87}=+0.067270869\) \(a_{88}=+0.241875755\) \(a_{89}=+0.293034583\) \(a_{90}=-0.041908969\)
\(a_{91}=-0.375113736\) \(a_{92}=+0.179169372\) \(a_{93}=-0.292673244\) \(a_{94}=-1.164437469\) \(a_{95}=-0.084851116\)
\(a_{96}=+0.049930073\) \(a_{97}=-0.090348382\) \(a_{98}=+0.586357048\) \(a_{99}=-0.629550689\) \(a_{100}=-0.497925912\)

Showing 100 of 336 available coefficients

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