Properties

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

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 4.2850685348 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.568656913\) \(a_{3}=+1.527949104\) \(a_{4}=-0.676629315\) \(a_{5}=+0.748273943\)
\(a_{6}=-0.868878821\) \(a_{7}=+1.109159422\) \(a_{8}=+0.953426851\) \(a_{9}=+1.334628465\) \(a_{10}=-0.425511151\)
\(a_{11}=-0.496108072\) \(a_{12}=-1.033855156\) \(a_{13}=+1.330223570\) \(a_{14}=-0.630731173\) \(a_{15}=+1.143324501\)
\(a_{16}=+0.134456545\) \(a_{17}=-0.242535625\) \(a_{18}=-0.758945703\) \(a_{19}=-1.211224874\) \(a_{20}=-0.506304085\)
\(a_{21}=+1.694739146\) \(a_{22}=+0.282115285\) \(a_{23}=+0.544568299\) \(a_{24}=+1.456787703\) \(a_{25}=-0.440086106\)
\(a_{26}=-0.756440829\) \(a_{27}=+0.511295264\) \(a_{28}=-0.750489780\) \(a_{29}=-0.489910945\) \(a_{30}=-0.650159381\)
\(a_{31}=+1.594762196\) \(a_{32}=-1.029886495\) \(a_{33}=-0.758027884\) \(a_{34}=+0.137919560\) \(a_{35}=+0.829955094\)
\(a_{36}=-0.903048744\) \(a_{37}=-1.930907203\) \(a_{38}=+0.688771398\) \(a_{39}=+2.032513913\) \(a_{40}=+0.713424469\)
\(a_{41}=+0.721291353\) \(a_{42}=-0.963725131\) \(a_{43}=-1.238492113\) \(a_{44}=+0.335681265\) \(a_{45}=+0.998667704\)
\(a_{46}=-0.309672528\) \(a_{47}=+0.654616203\) \(a_{48}=+0.205442758\) \(a_{49}=+0.230234624\) \(a_{50}=+0.250258007\)
\(a_{51}=-0.370582091\) \(a_{52}=-0.900068263\) \(a_{53}=+0.813039552\) \(a_{54}=-0.290751586\) \(a_{55}=-0.371224743\)
\(a_{56}=+1.057502375\) \(a_{57}=-1.850689961\) \(a_{58}=+0.278591246\) \(a_{59}=-0.804158887\) \(a_{60}=-0.773606874\)
\(a_{61}=-0.904117394\) \(a_{62}=-0.906872548\) \(a_{63}=+1.480315738\) \(a_{64}=+0.451195530\) \(a_{65}=+0.995371636\)
\(a_{66}=+0.431057797\) \(a_{67}=-0.935472145\) \(a_{68}=+0.164106714\) \(a_{69}=+0.832072644\) \(a_{70}=-0.471959702\)
\(a_{71}=+0.492197891\) \(a_{72}=+1.272470615\) \(a_{73}=+0.013845109\) \(a_{74}=+1.098023730\) \(a_{75}=-0.672429172\)
\(a_{76}=+0.819550257\) \(a_{77}=-0.550262942\) \(a_{78}=-1.155803088\) \(a_{79}=+0.363941836\) \(a_{80}=+0.100610329\)
\(a_{81}=-0.553395325\) \(a_{82}=-0.410167314\) \(a_{83}=+0.138653426\) \(a_{84}=-1.146710187\) \(a_{85}=-0.181483088\)
\(a_{86}=+0.704277102\) \(a_{87}=-0.748558990\) \(a_{88}=-0.473002757\) \(a_{89}=+0.429445649\) \(a_{90}=-0.567899294\)
\(a_{91}=+1.475430007\) \(a_{92}=-0.368470875\) \(a_{93}=+2.436715469\) \(a_{94}=-0.372252029\) \(a_{95}=-0.906328012\)
\(a_{96}=-1.573614147\) \(a_{97}=+0.802175522\) \(a_{98}=-0.130924511\) \(a_{99}=-0.662119954\) \(a_{100}=+0.297775161\)

Showing 100 of 546 available coefficients

Rows: Cols: