Properties

Level $971$
Weight $0$
Character 971.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 971 \)
Weight: \( 0 \)
Character: 971.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.58929234178 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.791680326\) \(a_{3}=+1.234215747\) \(a_{4}=-0.373242353\) \(a_{5}=-0.022435657\)
\(a_{6}=+0.977104372\) \(a_{7}=+0.816321431\) \(a_{8}=-1.087168890\) \(a_{9}=+0.523288615\) \(a_{10}=-0.017762042\)
\(a_{11}=-0.862253755\) \(a_{12}=-0.460661477\) \(a_{13}=-1.050394335\) \(a_{14}=+0.646265207\) \(a_{15}=-0.027690489\)
\(a_{16}=-0.487447826\) \(a_{17}=-1.569378024\) \(a_{18}=+0.414277360\) \(a_{19}=+1.587730696\) \(a_{20}=+0.008373840\)
\(a_{21}=+1.007516695\) \(a_{22}=-0.682629201\) \(a_{23}=+0.005057157\) \(a_{24}=-1.341800976\) \(a_{25}=-0.999496731\)
\(a_{26}=-0.831576264\) \(a_{27}=-0.588364877\) \(a_{28}=-0.304685525\) \(a_{29}=+1.388392327\) \(a_{30}=-0.021921898\)
\(a_{31}=+1.585445071\) \(a_{32}=+0.701266221\) \(a_{33}=-1.064207209\) \(a_{34}=-1.242445514\) \(a_{35}=-0.018314644\)
\(a_{36}=-0.195313476\) \(a_{37}=-0.074310320\) \(a_{38}=+1.256974997\) \(a_{39}=-1.296412982\) \(a_{40}=+0.024391244\)
\(a_{41}=+1.800948137\) \(a_{42}=+0.797631041\) \(a_{43}=-0.661334065\) \(a_{44}=+0.321829624\) \(a_{45}=-0.011740296\)
\(a_{46}=+0.004003949\) \(a_{47}=-0.352372350\) \(a_{48}=-0.601615891\) \(a_{49}=-0.333619396\) \(a_{50}=-0.791281743\)
\(a_{51}=-1.936950965\) \(a_{52}=+0.392051595\) \(a_{53}=+1.888860461\) \(a_{54}=-0.465796818\) \(a_{55}=+0.019345335\)
\(a_{56}=-0.887479202\) \(a_{57}=+1.959601921\) \(a_{58}=+1.099162676\) \(a_{59}=-0.667100028\) \(a_{60}=+0.010334965\)
\(a_{61}=+0.107307234\) \(a_{62}=+1.255165659\) \(a_{63}=+0.427171530\) \(a_{64}=+1.042626312\) \(a_{65}=+0.023566076\)
\(a_{66}=-0.842511938\) \(a_{67}=-1.547536529\) \(a_{68}=+0.585758313\) \(a_{69}=+0.006241830\) \(a_{70}=-0.014499475\)
\(a_{71}=+0.660925610\) \(a_{72}=-0.568903014\) \(a_{73}=-0.763646179\) \(a_{74}=-0.058830162\) \(a_{75}=-1.233594429\)
\(a_{76}=-0.592608251\) \(a_{77}=-0.703875965\) \(a_{78}=-1.026344531\) \(a_{79}=-1.165949349\) \(a_{80}=+0.010936375\)
\(a_{81}=-1.249457812\) \(a_{82}=+1.425774866\) \(a_{83}=-0.760621166\) \(a_{84}=-0.376047936\) \(a_{85}=+0.035210033\)
\(a_{86}=-0.523565180\) \(a_{87}=+1.713575669\) \(a_{88}=+0.937415190\) \(a_{89}=+0.795834948\) \(a_{90}=-0.009294523\)
\(a_{91}=-0.857459412\) \(a_{92}=-0.001887584\) \(a_{93}=+1.956781054\) \(a_{94}=-0.278966221\) \(a_{95}=-0.035621675\)
\(a_{96}=+0.865513558\) \(a_{97}=+0.789719154\) \(a_{98}=-0.264120182\) \(a_{99}=-0.451207514\) \(a_{100}=+0.373054618\)

Showing 100 of 2658 available coefficients

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