Properties

Level $17$
Weight $0$
Character 17.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 6.63419022117 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.006271330\) \(a_{3}=-1.255630395\) \(a_{4}=+0.012581989\) \(a_{5}=-0.141838815\)
\(a_{6}=+1.263504867\) \(a_{7}=+1.346209609\) \(a_{8}=+0.993610435\) \(a_{9}=+0.576607690\) \(a_{10}=+0.142728333\)
\(a_{11}=-1.388778466\) \(a_{12}=-0.015798328\) \(a_{13}=+1.255545056\) \(a_{14}=-1.354652134\) \(a_{15}=+0.178097127\)
\(a_{16}=-1.012423682\) \(a_{17}=-0.242535625\) \(a_{18}=-0.580223786\) \(a_{19}=+0.549867436\) \(a_{20}=-0.001784614\)
\(a_{21}=-1.690341704\) \(a_{22}=+1.397487953\) \(a_{23}=+0.550224223\) \(a_{24}=-1.247607463\) \(a_{25}=-0.979881751\)
\(a_{26}=-1.263418993\) \(a_{27}=+0.531624254\) \(a_{28}=+0.016937994\) \(a_{29}=+0.603611320\) \(a_{30}=-0.179214033\)
\(a_{31}=-0.027304480\) \(a_{32}=+0.025162490\) \(a_{33}=+1.743792454\) \(a_{34}=+0.244056646\) \(a_{35}=-0.190944776\)
\(a_{36}=+0.007254872\) \(a_{37}=+0.715623972\) \(a_{38}=-0.553315836\) \(a_{39}=-1.576500535\) \(a_{40}=-0.140932527\)
\(a_{41}=-1.926455238\) \(a_{42}=+1.700942394\) \(a_{43}=-1.548038765\) \(a_{44}=-0.017473595\) \(a_{45}=-0.081785351\)
\(a_{46}=-0.553674861\) \(a_{47}=+0.734434878\) \(a_{48}=+1.271229948\) \(a_{49}=+0.812280313\) \(a_{50}=+0.986026912\)
\(a_{51}=+0.304535103\) \(a_{52}=+0.015797254\) \(a_{53}=-0.696598755\) \(a_{54}=-0.534958245\) \(a_{55}=+0.196982692\)
\(a_{56}=+1.337607916\) \(a_{57}=-0.690430266\) \(a_{58}=-0.607396766\) \(a_{59}=-1.048238833\) \(a_{60}=+0.002240816\)
\(a_{61}=-0.105094260\) \(a_{62}=+0.027475715\) \(a_{63}=+0.776234812\) \(a_{64}=+0.987103390\) \(a_{65}=-0.178085023\)
\(a_{66}=-1.754728351\) \(a_{67}=+0.044296877\) \(a_{68}=-0.003051581\) \(a_{69}=-0.690878259\) \(a_{70}=+0.192142254\)
\(a_{71}=-0.580848249\) \(a_{72}=+0.572923417\) \(a_{73}=+1.147855435\) \(a_{74}=-0.720111886\) \(a_{75}=+1.230369310\)
\(a_{76}=+0.006918426\) \(a_{77}=-1.869586916\) \(a_{78}=+1.586387289\) \(a_{79}=-0.934710485\) \(a_{80}=+0.143600976\)
\(a_{81}=-1.244131262\) \(a_{82}=+1.938536674\) \(a_{83}=+0.252933726\) \(a_{84}=-0.021267860\) \(a_{85}=+0.034400966\)
\(a_{86}=+1.557747027\) \(a_{87}=-0.757912721\) \(a_{88}=-1.379904775\) \(a_{89}=+0.345760621\) \(a_{90}=+0.082298254\)
\(a_{91}=+1.690226819\) \(a_{92}=+0.006922915\) \(a_{93}=+0.034284335\) \(a_{94}=-0.739040761\) \(a_{95}=-0.077992546\)
\(a_{96}=-0.031594787\) \(a_{97}=-1.290244089\) \(a_{98}=-0.817374390\) \(a_{99}=-0.800780342\) \(a_{100}=-0.012328861\)

Showing 100 of 546 available coefficients

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