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: \( 8.25935732232 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.585081022\) \(a_{4}=+0.000000000\) \(a_{5}=+1.576054211\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+1.512481847\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.519440807\) \(a_{12}=+0.000000000\) \(a_{13}=+1.316615037\) \(a_{14}=+0.000000000\) \(a_{15}=+2.498173620\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.756163700\) \(a_{18}=+0.000000000\) \(a_{19}=-1.494006709\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.599104313\) \(a_{22}=+0.000000000\) \(a_{23}=-1.073140502\) \(a_{24}=+0.000000000\) \(a_{25}=+1.483946877\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.812325249\) \(a_{28}=+0.000000000\) \(a_{29}=+1.320171696\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.517199268\) \(a_{32}=+0.000000000\) \(a_{33}=+0.823355765\) \(a_{34}=+0.000000000\) \(a_{35}=-0.595692499\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.023516021\) \(a_{38}=+0.000000000\) \(a_{39}=+2.086941509\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.757665712\) \(a_{42}=+0.000000000\) \(a_{43}=-0.001757433\) \(a_{44}=+0.000000000\) \(a_{45}=+2.383753384\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.020964433\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+1.198580731\) \(a_{52}=+0.000000000\) \(a_{53}=+0.239051172\) \(a_{54}=+0.000000000\) \(a_{55}=+0.818666871\)
\(a_{56}=+0.000000000\) \(a_{57}=-2.368121681\) \(a_{58}=+0.000000000\) \(a_{59}=+1.657330444\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.265467161\) \(a_{62}=+0.000000000\) \(a_{63}=-0.571664404\) \(a_{64}=+0.000000000\) \(a_{65}=+2.075056674\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.415894511\) \(a_{68}=+0.000000000\) \(a_{69}=-1.701014645\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.600624599\) \(a_{72}=+0.000000000\) \(a_{73}=-0.748431558\) \(a_{74}=+0.000000000\) \(a_{75}=+2.352176032\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.196330171\) \(a_{78}=+0.000000000\) \(a_{79}=-1.183471324\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.224880510\) \(a_{82}=+0.000000000\) \(a_{83}=+1.305344069\) \(a_{84}=+0.000000000\) \(a_{85}=+1.191754984\)
\(a_{86}=+0.000000000\) \(a_{87}=+2.092579101\) \(a_{88}=+0.000000000\) \(a_{89}=+1.235820730\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.497633709\) \(a_{92}=+0.000000000\) \(a_{93}=-2.404883767\) \(a_{94}=+0.000000000\) \(a_{95}=-2.354635565\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.071824423\) \(a_{98}=+0.000000000\) \(a_{99}=+0.785644790\) \(a_{100}=+0.000000000\)

Showing 100 of 352 available coefficients

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