Properties

Level $28$
Weight $0$
Character 28.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 2.57074818487 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.147516788\) \(a_{4}=+0.000000000\) \(a_{5}=+1.586012963\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+0.316794778\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.236164932\) \(a_{12}=+0.000000000\) \(a_{13}=-0.652210203\) \(a_{14}=+0.000000000\) \(a_{15}=+1.819976501\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.979336095\) \(a_{18}=+0.000000000\) \(a_{19}=+0.232688649\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.433720578\) \(a_{22}=+0.000000000\) \(a_{23}=-1.565638210\) \(a_{24}=+0.000000000\) \(a_{25}=+1.515437120\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.783989462\) \(a_{28}=+0.000000000\) \(a_{29}=+0.246763490\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.515160066\) \(a_{32}=+0.000000000\) \(a_{33}=-1.418520012\) \(a_{34}=+0.000000000\) \(a_{35}=-0.599456554\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.480862761\) \(a_{38}=+0.000000000\) \(a_{39}=-0.748422157\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.790366605\) \(a_{42}=+0.000000000\) \(a_{43}=+1.488279535\) \(a_{44}=+0.000000000\) \(a_{45}=+0.502440624\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.443342236\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+1.123804609\) \(a_{52}=+0.000000000\) \(a_{53}=+0.122329487\) \(a_{54}=+0.000000000\) \(a_{55}=-1.960573607\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.267014131\) \(a_{58}=+0.000000000\) \(a_{59}=-0.657891048\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.201652655\) \(a_{62}=+0.000000000\) \(a_{63}=-0.119737171\) \(a_{64}=+0.000000000\) \(a_{65}=-1.034413838\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.681507591\) \(a_{68}=+0.000000000\) \(a_{69}=-1.796596129\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.118548181\) \(a_{72}=+0.000000000\) \(a_{73}=+0.410874470\) \(a_{74}=+0.000000000\) \(a_{75}=+1.738989536\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.467226427\) \(a_{78}=+0.000000000\) \(a_{79}=+0.396493197\) \(a_{80}=+0.000000000\)
\(a_{81}=-1.216435847\) \(a_{82}=+0.000000000\) \(a_{83}=-0.228591894\) \(a_{84}=+0.000000000\) \(a_{85}=+1.553239742\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.283165247\) \(a_{88}=+0.000000000\) \(a_{89}=-1.743706098\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.246512286\) \(a_{92}=+0.000000000\) \(a_{93}=+0.591154824\) \(a_{94}=+0.000000000\) \(a_{95}=+0.369047214\)
\(a_{96}=+0.000000000\) \(a_{97}=+1.838252589\) \(a_{98}=+0.000000000\) \(a_{99}=-0.391610595\) \(a_{100}=+0.000000000\)

Showing 100 of 282 available coefficients

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