Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 2.87969244571 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-0.316478010\) \(a_{4}=+0.500000000\) \(a_{5}=-0.186144543\)
\(a_{6}=+0.223783747\) \(a_{7}=-0.597059123\) \(a_{8}=-0.353553391\) \(a_{9}=-0.899841669\) \(a_{10}=+0.131624069\)
\(a_{11}=-0.545869982\) \(a_{12}=-0.158239005\) \(a_{13}=+0.277350098\) \(a_{14}=+0.422184555\) \(a_{15}=+0.058910655\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.361968925\) \(a_{18}=+0.636284146\) \(a_{19}=+0.530631641\) \(a_{20}=-0.093072272\)
\(a_{21}=+0.188956083\) \(a_{22}=+0.385988366\) \(a_{23}=-0.771289169\) \(a_{24}=+0.111891873\) \(a_{25}=-0.965350209\)
\(a_{26}=-0.196116135\) \(a_{27}=+0.601258111\) \(a_{28}=-0.298529562\) \(a_{29}=-1.454954208\) \(a_{30}=-0.041656123\)
\(a_{31}=+1.048418647\) \(a_{32}=-0.176776695\) \(a_{33}=+0.172755846\) \(a_{34}=+0.255950682\) \(a_{35}=+0.111139298\)
\(a_{36}=-0.449920835\) \(a_{37}=+1.023320917\) \(a_{38}=-0.375213232\) \(a_{39}=-0.087775207\) \(a_{40}=+0.065812034\)
\(a_{41}=-1.420696341\) \(a_{42}=-0.133612128\) \(a_{43}=+1.411909657\) \(a_{44}=-0.272934991\) \(a_{45}=+0.167500616\)
\(a_{46}=+0.545383802\) \(a_{47}=+1.157009251\) \(a_{48}=-0.079119502\) \(a_{49}=-0.643520404\) \(a_{50}=+0.682605679\)
\(a_{51}=+0.114555205\) \(a_{52}=+0.138675049\) \(a_{53}=-0.637774852\) \(a_{54}=-0.425153687\) \(a_{55}=+0.101610718\)
\(a_{56}=+0.211092277\) \(a_{57}=-0.167933246\) \(a_{58}=+1.028807987\) \(a_{59}=-1.254547564\) \(a_{60}=+0.029455327\)
\(a_{61}=-1.097155529\) \(a_{62}=-0.741343935\) \(a_{63}=+0.537258678\) \(a_{64}=+0.125000000\) \(a_{65}=-0.051627207\)
\(a_{66}=-0.122156830\) \(a_{67}=-1.816791460\) \(a_{68}=-0.180984463\) \(a_{69}=+0.244096061\) \(a_{70}=-0.078587351\)
\(a_{71}=+0.400452633\) \(a_{72}=+0.318142073\) \(a_{73}=+1.550436141\) \(a_{74}=-0.723597160\) \(a_{75}=+0.305512113\)
\(a_{76}=+0.265315820\) \(a_{77}=+0.325916653\) \(a_{78}=+0.062066444\) \(a_{79}=-0.491926531\) \(a_{80}=-0.046536136\)
\(a_{81}=+0.709556699\) \(a_{82}=+1.004584017\) \(a_{83}=+0.828270017\) \(a_{84}=+0.094478042\) \(a_{85}=+0.067378540\)
\(a_{86}=-0.998370893\) \(a_{87}=+0.460461012\) \(a_{88}=+0.192994183\) \(a_{89}=+1.023146655\) \(a_{90}=-0.118440822\)
\(a_{91}=-0.165594406\) \(a_{92}=-0.385644585\) \(a_{93}=-0.331801447\) \(a_{94}=-0.818129087\) \(a_{95}=-0.098774184\)
\(a_{96}=+0.055945937\) \(a_{97}=-0.615306441\) \(a_{98}=+0.455037641\) \(a_{99}=+0.491196556\) \(a_{100}=-0.482675105\)

Showing 100 of 268 available coefficients

Rows: Cols: