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: \( 2.99170924628 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.829138630\) \(a_{3}=-1.071383195\) \(a_{4}=+2.345748129\) \(a_{5}=+0.966479778\)
\(a_{6}=-1.959708390\) \(a_{7}=-0.975925177\) \(a_{8}=+2.461559889\) \(a_{9}=+0.147861950\) \(a_{10}=+1.767825497\)
\(a_{11}=-0.814038085\) \(a_{12}=-2.513195125\) \(a_{13}=+1.052457961\) \(a_{14}=-1.785102442\) \(a_{15}=-1.035470192\)
\(a_{16}=+2.156786155\) \(a_{17}=-0.242535625\) \(a_{18}=+0.270460005\) \(a_{19}=+0.761778969\) \(a_{20}=+2.267118131\)
\(a_{21}=+1.045589834\) \(a_{22}=-1.488988507\) \(a_{23}=-0.648810476\) \(a_{24}=-2.637273899\) \(a_{25}=-0.065916839\)
\(a_{26}=+1.925091513\) \(a_{27}=+0.912966386\) \(a_{28}=-2.289274658\) \(a_{29}=+0.455589439\) \(a_{30}=-1.894018529\)
\(a_{31}=+0.045962917\) \(a_{32}=+1.483500985\) \(a_{33}=+0.872146724\) \(a_{34}=-0.443631281\) \(a_{35}=-0.943211948\)
\(a_{36}=+0.346846894\) \(a_{37}=+0.332667731\) \(a_{38}=+1.393399339\) \(a_{39}=-1.127585773\) \(a_{40}=+2.379047855\)
\(a_{41}=-0.391115044\) \(a_{42}=+1.912528757\) \(a_{43}=-1.249023228\) \(a_{44}=-1.909528314\) \(a_{45}=+0.142905585\)
\(a_{46}=-1.186764305\) \(a_{47}=+0.735670530\) \(a_{48}=-2.310744442\) \(a_{49}=-0.047570049\) \(a_{50}=-0.120571037\)
\(a_{51}=+0.259848593\) \(a_{52}=+2.468801292\) \(a_{53}=+1.589598187\) \(a_{54}=+1.669942085\) \(a_{55}=-0.786751347\)
\(a_{56}=-2.402298271\) \(a_{57}=-0.816157185\) \(a_{58}=+0.833336242\) \(a_{59}=-1.298248833\) \(a_{60}=-2.428952266\)
\(a_{61}=+1.504174447\) \(a_{62}=+0.084072547\) \(a_{63}=-0.144302200\) \(a_{64}=+0.556742804\) \(a_{65}=+1.017179336\)
\(a_{66}=+1.595277264\) \(a_{67}=-1.151079753\) \(a_{68}=-0.568927489\) \(a_{69}=+0.695124640\) \(a_{70}=-1.725265411\)
\(a_{71}=+0.978602444\) \(a_{72}=+0.363971046\) \(a_{73}=-0.259223399\) \(a_{74}=+0.608495397\) \(a_{75}=+0.070622194\)
\(a_{76}=+1.786941590\) \(a_{77}=+0.794440262\) \(a_{78}=-2.062510696\) \(a_{79}=-0.318253704\) \(a_{80}=+2.084490204\)
\(a_{81}=-1.125998794\) \(a_{82}=-0.715403636\) \(a_{83}=+0.519177662\) \(a_{84}=+2.452690397\) \(a_{85}=-0.234405777\)
\(a_{86}=-2.284636636\) \(a_{87}=-0.488110868\) \(a_{88}=-2.003803498\) \(a_{89}=-0.180246216\) \(a_{90}=+0.261394126\)
\(a_{91}=-1.027120222\) \(a_{92}=-1.521945959\) \(a_{93}=-0.049243897\) \(a_{94}=+1.345643385\) \(a_{95}=+0.736243968\)
\(a_{96}=-1.589398025\) \(a_{97}=+0.763445345\) \(a_{98}=-0.087012214\) \(a_{99}=-0.120365259\) \(a_{100}=-0.154624302\)

Showing 100 of 546 available coefficients

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