Properties

Level $8$
Weight $0$
Character 8.1
Symmetry even
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 8 = 2^{3} \)
Weight: \( 0 \)
Character: 8.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 13.9223820714 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.111445093\) \(a_{4}=+0.000000000\) \(a_{5}=-1.443642874\)
\(a_{6}=+0.000000000\) \(a_{7}=+1.597460675\) \(a_{8}=+0.000000000\) \(a_{9}=+0.235310196\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.530213759\) \(a_{12}=+0.000000000\) \(a_{13}=+0.608046201\) \(a_{14}=+0.000000000\) \(a_{15}=-1.604529788\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.532422222\) \(a_{18}=+0.000000000\) \(a_{19}=-0.000586138\) \(a_{20}=+0.000000000\)
\(a_{21}=+1.775489829\) \(a_{22}=+0.000000000\) \(a_{23}=-0.733436567\) \(a_{24}=+0.000000000\) \(a_{25}=+1.084104746\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.849910731\) \(a_{28}=+0.000000000\) \(a_{29}=-0.467723464\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.010990245\) \(a_{32}=+0.000000000\) \(a_{33}=-1.700748570\) \(a_{34}=+0.000000000\) \(a_{35}=-2.306162732\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.298450412\) \(a_{38}=+0.000000000\) \(a_{39}=+0.675809875\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.302977575\) \(a_{42}=+0.000000000\) \(a_{43}=-1.339339248\) \(a_{44}=+0.000000000\) \(a_{45}=-0.339702151\)
\(a_{46}=+0.000000000\) \(a_{47}=-1.415674602\) \(a_{48}=+0.000000000\) \(a_{49}=+1.551891045\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.591783661\) \(a_{52}=+0.000000000\) \(a_{53}=-1.443739425\) \(a_{54}=+0.000000000\) \(a_{55}=+2.208886549\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.000111156\) \(a_{58}=+0.000000000\) \(a_{59}=-0.520792615\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.952289238\) \(a_{62}=+0.000000000\) \(a_{63}=+0.359081178\) \(a_{64}=+0.000000000\) \(a_{65}=-0.808777433\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.297640409\)

Showing all 67 available coefficients

Rows: Cols: