Properties

Level $2$
Weight $0$
Character 2.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 12.0929948751 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.705994754\) \(a_{4}=+0.500000000\) \(a_{5}=-0.799748257\)
\(a_{6}=-0.499213678\) \(a_{7}=-1.713370679\) \(a_{8}=+0.353553391\) \(a_{9}=-0.501571407\) \(a_{10}=-0.565507415\)
\(a_{11}=+0.522186152\) \(a_{12}=-0.352997377\) \(a_{13}=+0.683000803\) \(a_{14}=-1.211536026\) \(a_{15}=+0.564618074\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.222062448\) \(a_{18}=-0.354664543\) \(a_{19}=-0.384530648\) \(a_{20}=-0.399874128\)
\(a_{21}=+1.209630711\) \(a_{22}=+0.369241373\) \(a_{23}=-0.905885427\) \(a_{24}=-0.249606839\) \(a_{25}=-0.360402726\)
\(a_{26}=+0.482954499\) \(a_{27}=+1.060101536\) \(a_{28}=-0.856685339\) \(a_{29}=-0.041391420\) \(a_{30}=+0.399245269\)
\(a_{31}=-0.729287533\) \(a_{32}=+0.176776695\) \(a_{33}=-0.368660688\) \(a_{34}=+0.157021863\) \(a_{35}=+1.370265214\)
\(a_{36}=-0.250785704\) \(a_{37}=-0.597125213\) \(a_{38}=-0.271904229\) \(a_{39}=-0.482194984\) \(a_{40}=-0.282753708\)
\(a_{41}=+0.726199534\) \(a_{42}=+0.855338078\) \(a_{43}=-0.456533190\) \(a_{44}=+0.261093079\) \(a_{45}=+0.401130859\)
\(a_{46}=-0.640557729\) \(a_{47}=-1.480113210\) \(a_{48}=-0.176498689\) \(a_{49}=+1.935639082\) \(a_{50}=-0.254843211\)
\(a_{51}=-0.156774924\) \(a_{52}=+0.341500402\) \(a_{53}=-0.523854765\) \(a_{54}=+0.749604987\) \(a_{55}=-0.417617468\)
\(a_{56}=-0.605768016\) \(a_{57}=+0.271476614\) \(a_{58}=-0.029268154\) \(a_{59}=-1.021783740\) \(a_{60}=+0.282309037\)
\(a_{61}=+1.477872235\) \(a_{62}=-0.515684160\) \(a_{63}=+0.859377743\) \(a_{64}=+0.125000000\) \(a_{65}=-0.546228702\)
\(a_{66}=-0.260682473\) \(a_{67}=-1.690726293\) \(a_{68}=+0.111031224\) \(a_{69}=+0.639550359\) \(a_{70}=+0.968923825\)
\(a_{71}=-0.306510637\) \(a_{72}=-0.177332272\) \(a_{73}=+1.106698328\) \(a_{74}=-0.422231287\) \(a_{75}=+0.254442434\)
\(a_{76}=-0.192265324\) \(a_{77}=-0.894698452\) \(a_{78}=-0.340963343\) \(a_{79}=+0.305130301\) \(a_{80}=-0.199937064\)
\(a_{81}=-0.246854716\) \(a_{82}=+0.513500615\) \(a_{83}=+0.334733116\) \(a_{84}=+0.604815355\) \(a_{85}=-0.177594055\)
\(a_{86}=-0.322817715\) \(a_{87}=+0.029222125\) \(a_{88}=+0.184620687\) \(a_{89}=+0.161133998\) \(a_{90}=+0.283642351\)
\(a_{91}=-1.170233550\) \(a_{92}=-0.452942713\) \(a_{93}=+0.514873172\) \(a_{94}=-1.046598087\) \(a_{95}=+0.307527718\)
\(a_{96}=-0.124803422\) \(a_{97}=+1.607315863\) \(a_{98}=+1.368703524\) \(a_{99}=-0.261913645\) \(a_{100}=-0.180201366\)

Showing 100 of 5000 available coefficients

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