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: \( 7.03978206335 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.637397381\) \(a_{4}=+0.500000000\) \(a_{5}=+0.177415667\)
\(a_{6}=-1.157814791\) \(a_{7}=+0.401274848\) \(a_{8}=+0.353553391\) \(a_{9}=+1.681070182\) \(a_{10}=+0.125451821\)
\(a_{11}=+0.479731500\) \(a_{12}=-0.818698690\) \(a_{13}=-0.277350098\) \(a_{14}=+0.283744166\) \(a_{15}=-0.290499949\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.584732247\) \(a_{18}=+1.188696126\) \(a_{19}=-1.501492906\) \(a_{20}=+0.088707834\)
\(a_{21}=-0.657046385\) \(a_{22}=+0.339221397\) \(a_{23}=-1.178064435\) \(a_{24}=-0.578907396\) \(a_{25}=-0.968523681\)
\(a_{26}=-0.196116135\) \(a_{27}=-1.115182532\) \(a_{28}=+0.200637424\) \(a_{29}=+0.296487118\) \(a_{30}=-0.205414484\)
\(a_{31}=-0.712966724\) \(a_{32}=+0.176776695\) \(a_{33}=-0.785511102\) \(a_{34}=+0.413468137\) \(a_{35}=+0.071192445\)
\(a_{36}=+0.840535091\) \(a_{37}=-1.771780175\) \(a_{38}=-1.061715816\) \(a_{39}=+0.454132324\) \(a_{40}=+0.062725911\)
\(a_{41}=+0.724183446\) \(a_{42}=-0.464601954\) \(a_{43}=+1.459982884\) \(a_{44}=+0.239865750\) \(a_{45}=+0.298248188\)
\(a_{46}=-0.833017351\) \(a_{47}=-0.604946715\) \(a_{48}=-0.409349345\) \(a_{49}=-0.838978496\) \(a_{50}=-0.684849663\)
\(a_{51}=-0.957439049\) \(a_{52}=-0.138675049\) \(a_{53}=+0.713523204\) \(a_{54}=-0.788553131\) \(a_{55}=+0.085111884\)
\(a_{56}=+0.141872083\) \(a_{57}=+2.458540551\) \(a_{58}=+0.209648051\) \(a_{59}=-1.583426462\) \(a_{60}=-0.145249974\)
\(a_{61}=+0.916688761\) \(a_{62}=-0.504143606\) \(a_{63}=+0.674571182\) \(a_{64}=+0.125000000\) \(a_{65}=-0.049206253\)
\(a_{66}=-0.555440227\) \(a_{67}=-0.101633435\) \(a_{68}=+0.292366123\) \(a_{69}=+1.928959621\) \(a_{70}=+0.050340661\)
\(a_{71}=-1.385137124\) \(a_{72}=+0.594348063\) \(a_{73}=-1.003293113\) \(a_{74}=-1.252837776\) \(a_{75}=+1.585858138\)
\(a_{76}=-0.750746453\) \(a_{77}=+0.192504185\) \(a_{78}=+0.321120046\) \(a_{79}=-0.238633877\) \(a_{80}=+0.044353917\)
\(a_{81}=+0.144926775\) \(a_{82}=+0.512075026\) \(a_{83}=-1.463407065\) \(a_{84}=-0.328523193\) \(a_{85}=+0.103740662\)
\(a_{86}=+1.032363798\) \(a_{87}=-0.485467230\) \(a_{88}=+0.169610698\) \(a_{89}=-0.563394637\) \(a_{90}=+0.210893316\)
\(a_{91}=-0.111293618\) \(a_{92}=-0.589032218\) \(a_{93}=+1.167409847\) \(a_{94}=-0.427761924\) \(a_{95}=-0.266388366\)
\(a_{96}=-0.289453698\) \(a_{97}=+0.004059617\) \(a_{98}=-0.593247384\) \(a_{99}=+0.806462320\) \(a_{100}=-0.484261841\)

Showing 100 of 292 available coefficients

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