Properties

Level $599$
Weight $0$
Character 599.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 599 \)
Weight: \( 0 \)
Character: 599.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.9294801492 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.875133720\) \(a_{3}=+1.633154223\) \(a_{4}=+2.516126467\) \(a_{5}=-0.529553196\)
\(a_{6}=+3.062382610\) \(a_{7}=-0.734801788\) \(a_{8}=+2.842939943\) \(a_{9}=+1.667192785\) \(a_{10}=-0.992982750\)
\(a_{11}=-0.468117011\) \(a_{12}=+4.109222752\) \(a_{13}=+0.025206100\) \(a_{14}=-1.377851206\) \(a_{15}=-0.864841876\)
\(a_{16}=+2.814765987\) \(a_{17}=-1.405833487\) \(a_{18}=+3.126209554\) \(a_{19}=-1.532823105\) \(a_{20}=-1.332422447\)
\(a_{21}=-1.200044521\) \(a_{22}=-0.877781771\) \(a_{23}=+0.362142932\) \(a_{24}=+4.642959445\) \(a_{25}=-0.719573442\)
\(a_{26}=+0.047265057\) \(a_{27}=+1.089628897\) \(a_{28}=-1.848853696\) \(a_{29}=+0.631617617\) \(a_{30}=-1.621694183\)
\(a_{31}=+1.668355873\) \(a_{32}=+2.435122437\) \(a_{33}=-0.764507119\) \(a_{34}=-2.636125731\) \(a_{35}=+0.389116475\)
\(a_{36}=+4.194868184\) \(a_{37}=+1.366667883\) \(a_{38}=-2.874248284\) \(a_{39}=+0.041165713\) \(a_{40}=-1.505487638\)
\(a_{41}=+1.349576335\) \(a_{42}=-2.250243901\) \(a_{43}=+0.962522438\) \(a_{44}=-1.177841537\) \(a_{45}=-0.882867164\)
\(a_{46}=+0.679066453\) \(a_{47}=-1.792953575\) \(a_{48}=+4.596946997\) \(a_{49}=-0.460066868\) \(a_{50}=-1.349296526\)
\(a_{51}=-2.295943093\) \(a_{52}=+0.063421968\) \(a_{53}=+1.633956755\) \(a_{54}=+2.043200055\) \(a_{55}=+0.247892588\)
\(a_{56}=-2.088996511\) \(a_{57}=-2.503336636\) \(a_{58}=+1.184367560\) \(a_{59}=+1.581679896\) \(a_{60}=-2.176051331\)
\(a_{61}=-0.165678610\) \(a_{62}=+3.128390435\) \(a_{63}=-1.225056095\) \(a_{64}=+1.751414198\) \(a_{65}=-0.013348158\)
\(a_{66}=-1.433553350\) \(a_{67}=-1.071685428\) \(a_{68}=-3.537254578\) \(a_{69}=+0.591435475\) \(a_{70}=+0.729645417\)
\(a_{71}=+0.043588461\) \(a_{72}=+4.739729143\) \(a_{73}=-1.013091130\) \(a_{74}=+2.562684691\) \(a_{75}=-1.175174400\)
\(a_{76}=-3.856776600\) \(a_{77}=+0.343972951\) \(a_{78}=+0.077190824\) \(a_{79}=-0.283124580\) \(a_{80}=-1.490567985\)
\(a_{81}=+0.112339412\) \(a_{82}=+2.530636239\) \(a_{83}=-0.456274206\) \(a_{84}=-3.019463329\) \(a_{85}=+0.744463508\)
\(a_{86}=+1.804858196\) \(a_{87}=+1.031529100\) \(a_{88}=-1.330828410\) \(a_{89}=+1.089124092\) \(a_{90}=-1.655493945\)
\(a_{91}=-0.018521643\) \(a_{92}=+0.911197298\) \(a_{93}=+2.724682631\) \(a_{94}=-3.362028071\) \(a_{95}=+0.811711372\)
\(a_{96}=+3.976930762\) \(a_{97}=-0.422164575\) \(a_{98}=-0.862686770\) \(a_{99}=-0.780441293\) \(a_{100}=-1.810538092\)

Showing 100 of 1666 available coefficients

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