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: \( 7.26996316795 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.713964737\) \(a_{3}=-0.076574032\) \(a_{4}=-0.490254355\) \(a_{5}=+1.585527229\)
\(a_{6}=+0.054671158\) \(a_{7}=-1.632352210\) \(a_{8}=+1.063989058\) \(a_{9}=-0.994136418\) \(a_{10}=-1.132010531\)
\(a_{11}=-0.827319156\) \(a_{12}=+0.037540752\) \(a_{13}=+0.600668907\) \(a_{14}=+1.165441916\) \(a_{15}=-0.121410212\)
\(a_{16}=-0.269396313\) \(a_{17}=+0.242535625\) \(a_{18}=+0.709778346\) \(a_{19}=+0.873260181\) \(a_{20}=-0.777311629\)
\(a_{21}=+0.124995790\) \(a_{22}=+0.590676703\) \(a_{23}=+0.467948221\) \(a_{24}=-0.081473932\) \(a_{25}=+1.513896595\)
\(a_{26}=-0.428856418\) \(a_{27}=+0.152699065\) \(a_{28}=+0.800267780\) \(a_{29}=-0.405934225\) \(a_{30}=+0.086682610\)
\(a_{31}=+1.674053746\) \(a_{32}=-0.871649591\) \(a_{33}=+0.063351163\) \(a_{34}=-0.173161884\) \(a_{35}=-2.588138877\)
\(a_{36}=+0.487379708\) \(a_{37}=-0.091582521\) \(a_{38}=-0.623476975\) \(a_{39}=-0.045995640\) \(a_{40}=+1.686983623\)
\(a_{41}=+1.859555663\) \(a_{42}=-0.089242586\) \(a_{43}=+0.378612532\) \(a_{44}=+0.405596819\) \(a_{45}=-1.576230360\)
\(a_{46}=-0.334098529\) \(a_{47}=+0.154767483\) \(a_{48}=+0.020628762\) \(a_{49}=+1.664573737\) \(a_{50}=-1.080868784\)
\(a_{51}=-0.018571931\) \(a_{52}=-0.294480548\) \(a_{53}=+1.057584270\) \(a_{54}=-0.109021748\) \(a_{55}=-1.311737049\)
\(a_{56}=-1.736804890\) \(a_{57}=-0.066869053\) \(a_{58}=+0.289822722\) \(a_{59}=+0.129378661\) \(a_{60}=+0.059521885\)
\(a_{61}=+0.470905377\) \(a_{62}=-1.195215342\) \(a_{63}=+1.622780778\) \(a_{64}=+0.891723383\) \(a_{65}=+0.952376908\)
\(a_{66}=-0.045230497\) \(a_{67}=-1.634593648\) \(a_{68}=-0.118904146\) \(a_{69}=-0.035832682\) \(a_{70}=+1.847839892\)
\(a_{71}=-0.663916824\) \(a_{72}=-1.057750271\) \(a_{73}=+0.939171061\) \(a_{74}=+0.065386691\) \(a_{75}=-0.115925166\)
\(a_{76}=-0.428119607\) \(a_{77}=+1.350476252\) \(a_{78}=+0.032839265\) \(a_{79}=-1.133492832\) \(a_{80}=-0.427135189\)
\(a_{81}=+0.982443635\) \(a_{82}=-1.327657169\) \(a_{83}=+0.492384556\) \(a_{84}=-0.061279730\) \(a_{85}=+0.384546838\)
\(a_{86}=-0.270315997\) \(a_{87}=+0.031084020\) \(a_{88}=-0.880258529\) \(a_{89}=-0.582265454\) \(a_{90}=+1.125372894\)
\(a_{91}=-0.980503218\) \(a_{92}=-0.229413653\) \(a_{93}=-0.128189044\) \(a_{94}=-0.110498525\) \(a_{95}=+1.384577796\)
\(a_{96}=+0.066745723\) \(a_{97}=+0.453801085\) \(a_{98}=-1.188446950\) \(a_{99}=+0.822468102\) \(a_{100}=-0.742194399\)

Showing 100 of 546 available coefficients

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