Properties

Level 10
Weight 0
Character 10.1
Symmetry even
Fricke sign +1

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 10 = 2 \cdot 5 \)
Weight: \( 0 \)
Character: 10.1
Symmetry: even
Fricke sign: \(+1\)
Spectral parameter: \( 31.8711232416 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+1.846103962\) \(a_{4}=+0.500000000\) \(a_{5}=+0.447213595\)
\(a_{6}=+1.305392630\) \(a_{7}=-1.234509000\) \(a_{8}=+0.353553391\) \(a_{9}=+2.408099839\) \(a_{10}=+0.316227766\)
\(a_{11}=-1.511158026\) \(a_{12}=+0.923051981\) \(a_{13}=+1.310846428\) \(a_{14}=-0.872929685\) \(a_{15}=+0.825602791\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.219365099\) \(a_{18}=+1.702783726\) \(a_{19}=+1.151650817\) \(a_{20}=+0.223606798\)
\(a_{21}=-2.279031955\) \(a_{22}=-1.068550088\) \(a_{23}=+0.954495102\) \(a_{24}=+0.652696315\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.926908398\) \(a_{27}=+2.599498691\) \(a_{28}=-0.617254500\) \(a_{29}=+0.638113644\) \(a_{30}=+0.583789332\)
\(a_{31}=+0.963157851\) \(a_{32}=+0.176776695\) \(a_{33}=-2.789754820\) \(a_{34}=-0.155114549\) \(a_{35}=-0.552089208\)
\(a_{36}=+1.204049919\) \(a_{37}=-1.328067921\) \(a_{38}=+0.814340102\) \(a_{39}=+2.419958784\) \(a_{40}=+0.158113883\)
\(a_{41}=-0.123713102\) \(a_{42}=-1.611518950\) \(a_{43}=+1.472559770\) \(a_{44}=-0.755579013\) \(a_{45}=+1.076934987\)
\(a_{46}=+0.674929960\) \(a_{47}=-1.182448197\) \(a_{48}=+0.461525991\) \(a_{49}=+0.524012470\) \(a_{50}=+0.141421356\)
\(a_{51}=-0.404970778\) \(a_{52}=+0.655423214\) \(a_{53}=+0.153075862\) \(a_{54}=+1.838123152\) \(a_{55}=-0.675810414\)
\(a_{56}=-0.436464843\) \(a_{57}=+2.126067136\) \(a_{58}=+0.451214485\) \(a_{59}=-0.947043179\) \(a_{60}=+0.412801395\)
\(a_{61}=-0.583971326\) \(a_{62}=+0.681055448\) \(a_{63}=-2.972820923\) \(a_{64}=+0.125000000\) \(a_{65}=+0.586228344\)
\(a_{66}=-1.972654551\) \(a_{67}=+0.808398299\) \(a_{68}=-0.109682549\) \(a_{69}=+1.762097190\) \(a_{70}=-0.390386023\)
\(a_{71}=+0.800293119\) \(a_{72}=+0.851391863\) \(a_{73}=+0.394174431\) \(a_{74}=-0.939085833\) \(a_{75}=+0.369220792\)
\(a_{76}=+0.575825408\) \(a_{77}=+1.865538183\) \(a_{78}=+1.711169267\) \(a_{79}=+0.945042520\) \(a_{80}=+0.111803399\)
\(a_{81}=+2.390844994\) \(a_{82}=-0.087478373\) \(a_{83}=-0.764290384\) \(a_{84}=-1.139515978\) \(a_{85}=-0.098103055\)
\(a_{86}=+1.041256999\) \(a_{87}=+1.178024126\) \(a_{88}=-0.534275044\) \(a_{89}=+1.761165254\) \(a_{90}=+0.761508032\)
\(a_{91}=-1.618251713\) \(a_{92}=+0.477247551\) \(a_{93}=+1.778089525\) \(a_{94}=-0.836117139\) \(a_{95}=+0.515033903\)
\(a_{96}=+0.326348158\) \(a_{97}=+1.055919718\) \(a_{98}=+0.370532771\) \(a_{99}=-3.639019399\) \(a_{100}=+0.099975586\)

Showing 100 of 256 available coefficients

Rows: Cols: