Properties

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

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Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 5.8296706432 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.823011080\) \(a_{3}=-1.822807508\) \(a_{4}=+2.323369398\) \(a_{5}=-0.787778452\)
\(a_{6}=+3.322998283\) \(a_{7}=+0.302755928\) \(a_{8}=-2.412517075\) \(a_{9}=+2.322627210\) \(a_{10}=+1.436128846\)
\(a_{11}=-0.278225100\) \(a_{12}=-4.235055181\) \(a_{13}=+0.008163818\) \(a_{14}=-0.551927411\) \(a_{15}=+1.435968476\)
\(a_{16}=+2.074675960\) \(a_{17}=+0.242535625\) \(a_{18}=-4.234175138\) \(a_{19}=+1.802309287\) \(a_{20}=-1.830300347\)
\(a_{21}=-0.551865778\) \(a_{22}=+0.507207441\) \(a_{23}=-0.610069187\) \(a_{24}=+4.397554236\) \(a_{25}=-0.379405111\)
\(a_{26}=-0.014882731\) \(a_{27}=-2.410894808\) \(a_{28}=+0.703413857\) \(a_{29}=+0.345791823\) \(a_{30}=-2.617786442\)
\(a_{31}=+0.212926633\) \(a_{32}=-1.369640188\) \(a_{33}=+0.507150802\) \(a_{34}=-0.442145132\) \(a_{35}=-0.238504596\)
\(a_{36}=+5.396320982\) \(a_{37}=-0.222013236\) \(a_{38}=-3.285629800\) \(a_{39}=-0.014881069\) \(a_{40}=+1.900528966\)
\(a_{41}=+0.159906478\) \(a_{42}=+1.006057428\) \(a_{43}=+1.536163231\) \(a_{44}=-0.646419684\) \(a_{45}=-1.829715667\)
\(a_{46}=+1.112162888\) \(a_{47}=-1.128669799\) \(a_{48}=-3.781734916\) \(a_{49}=-0.908338848\) \(a_{50}=+0.691659721\)
\(a_{51}=-0.442095758\) \(a_{52}=+0.018967565\) \(a_{53}=+0.536164276\) \(a_{54}=+4.395087948\) \(a_{55}=+0.219179739\)
\(a_{56}=-0.730403845\) \(a_{57}=-3.285262899\) \(a_{58}=-0.630382325\) \(a_{59}=+0.941891745\) \(a_{60}=+3.336285213\)
\(a_{61}=-0.351980700\) \(a_{62}=-0.388167611\) \(a_{63}=+0.703189155\) \(a_{64}=+0.422193278\) \(a_{65}=-0.006431280\)
\(a_{66}=-0.924541531\) \(a_{67}=-0.083661045\) \(a_{68}=+0.563499849\) \(a_{69}=+1.112038695\) \(a_{70}=+0.434796521\)
\(a_{71}=-1.296958597\) \(a_{72}=-5.603377802\) \(a_{73}=-0.591144725\) \(a_{74}=+0.404732588\) \(a_{75}=+0.691582485\)
\(a_{76}=+4.187430242\) \(a_{77}=-0.084234298\) \(a_{78}=+0.027128353\) \(a_{79}=+1.135210738\) \(a_{80}=-1.634385015\)
\(a_{81}=+2.071969946\) \(a_{82}=-0.291511280\) \(a_{83}=-0.633579637\) \(a_{84}=-1.282188060\) \(a_{85}=-0.191064339\)
\(a_{86}=-2.800442591\) \(a_{87}=-0.630311931\) \(a_{88}=+0.671222805\) \(a_{89}=-0.201868843\) \(a_{90}=+3.335591934\)
\(a_{91}=+0.002471644\) \(a_{92}=-1.417416080\) \(a_{93}=-0.388124265\) \(a_{94}=+2.057577550\) \(a_{95}=-1.419820419\)
\(a_{96}=+2.496590417\) \(a_{97}=-1.722678653\) \(a_{98}=+1.655911785\) \(a_{99}=-0.646213189\) \(a_{100}=-0.881498225\)

Showing 100 of 546 available coefficients

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