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: \( 9.26852478276 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+0.812867398\) \(a_{4}=+0.000000000\) \(a_{5}=+0.080636745\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=-0.339246594\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.293662523\) \(a_{12}=+0.000000000\) \(a_{13}=-0.709563134\) \(a_{14}=+0.000000000\) \(a_{15}=+0.065546981\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.308222686\) \(a_{18}=+0.000000000\) \(a_{19}=+1.853724211\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.307234998\) \(a_{22}=+0.000000000\) \(a_{23}=+0.367035961\) \(a_{24}=+0.000000000\) \(a_{25}=-0.993497715\)
\(a_{26}=+0.000000000\) \(a_{27}=-1.088629894\) \(a_{28}=+0.000000000\) \(a_{29}=+0.296682273\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.149323612\) \(a_{32}=+0.000000000\) \(a_{33}=+0.238708691\) \(a_{34}=+0.000000000\) \(a_{35}=-0.030477825\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.249967682\) \(a_{38}=+0.000000000\) \(a_{39}=-0.576780739\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.986686814\) \(a_{42}=+0.000000000\) \(a_{43}=+0.459589504\) \(a_{44}=+0.000000000\) \(a_{45}=-0.027355741\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.007035595\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+1.063411570\) \(a_{52}=+0.000000000\) \(a_{53}=+0.435231461\) \(a_{54}=+0.000000000\) \(a_{55}=+0.023679990\)
\(a_{56}=+0.000000000\) \(a_{57}=+1.506831976\) \(a_{58}=+0.000000000\) \(a_{59}=+1.663857006\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.242907436\) \(a_{62}=+0.000000000\) \(a_{63}=+0.128223160\) \(a_{64}=+0.000000000\) \(a_{65}=-0.057216862\)
\(a_{66}=+0.000000000\) \(a_{67}=+1.106935420\) \(a_{68}=+0.000000000\) \(a_{69}=+0.298351566\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.899983464\) \(a_{72}=+0.000000000\) \(a_{73}=-0.246852782\) \(a_{74}=+0.000000000\) \(a_{75}=-0.807581903\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.110994001\) \(a_{78}=+0.000000000\) \(a_{79}=+0.893756129\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.545665155\) \(a_{82}=+0.000000000\) \(a_{83}=+1.119885519\) \(a_{84}=+0.000000000\) \(a_{85}=+0.105490820\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.241163348\) \(a_{88}=+0.000000000\) \(a_{89}=+1.731012572\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.268189656\) \(a_{92}=+0.000000000\) \(a_{93}=+0.121380296\) \(a_{94}=+0.000000000\) \(a_{95}=+0.149478287\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.912987124\) \(a_{98}=+0.000000000\) \(a_{99}=-0.099624010\) \(a_{100}=+0.000000000\)

Showing 100 of 382 available coefficients

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