Properties

Level $17$
Weight $0$
Character 17.1
Symmetry odd
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 6.11480824617 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.342132872\) \(a_{3}=+0.045293528\) \(a_{4}=+0.801320646\) \(a_{5}=-1.828888120\)
\(a_{6}=+0.060789932\) \(a_{7}=+0.885379188\) \(a_{8}=-0.266654092\) \(a_{9}=-0.997948496\) \(a_{10}=-2.454610865\)
\(a_{11}=-0.372578983\) \(a_{12}=+0.036294639\) \(a_{13}=-0.629709337\) \(a_{14}=+1.188296512\) \(a_{15}=-0.082836795\)
\(a_{16}=-1.159205868\) \(a_{17}=-0.242535625\) \(a_{18}=-1.339379482\) \(a_{19}=+1.476282697\) \(a_{20}=-1.465525810\)
\(a_{21}=+0.040101947\) \(a_{22}=-0.500050500\) \(a_{23}=-1.444334803\) \(a_{24}=-0.012077704\) \(a_{25}=+2.344831756\)
\(a_{26}=-0.845153601\) \(a_{27}=-0.090494135\) \(a_{28}=+0.709472623\) \(a_{29}=+0.926358445\) \(a_{30}=-0.111177985\)
\(a_{31}=+0.545365555\) \(a_{32}=-1.289154209\) \(a_{33}=-0.016875416\) \(a_{34}=-0.325515035\) \(a_{35}=-1.619259478\)
\(a_{36}=-0.799676734\) \(a_{37}=+0.518727912\) \(a_{38}=+1.981367536\) \(a_{39}=-0.028521757\) \(a_{40}=+0.487680501\)
\(a_{41}=-0.581130963\) \(a_{42}=+0.053822141\) \(a_{43}=-0.637608985\) \(a_{44}=-0.298555231\) \(a_{45}=+1.825136150\)
\(a_{46}=-1.938489218\) \(a_{47}=-0.937790166\) \(a_{48}=-0.052504523\) \(a_{49}=-0.216103694\) \(a_{50}=+3.147075780\)
\(a_{51}=-0.010985294\) \(a_{52}=-0.504599093\) \(a_{53}=-0.694305142\) \(a_{54}=-0.121455154\) \(a_{55}=+0.681405275\)
\(a_{56}=-0.236089983\) \(a_{57}=+0.066866051\) \(a_{58}=+1.243296120\) \(a_{59}=-0.920135953\) \(a_{60}=-0.066378834\)
\(a_{61}=-0.040290567\) \(a_{62}=+0.731953038\) \(a_{63}=-0.883562829\) \(a_{64}=-0.571010373\) \(a_{65}=+1.151667926\)
\(a_{66}=-0.022649051\) \(a_{67}=-1.292942215\) \(a_{68}=-0.194348804\) \(a_{69}=-0.065419018\) \(a_{70}=-2.173261374\)
\(a_{71}=+0.543819786\) \(a_{72}=+0.266107050\) \(a_{73}=-0.869954234\) \(a_{74}=+0.696201782\) \(a_{75}=+0.106205702\)
\(a_{76}=+1.182975805\) \(a_{77}=-0.329873677\) \(a_{78}=-0.038279988\) \(a_{79}=+0.798030125\) \(a_{80}=+2.120057841\)
\(a_{81}=+0.993849698\) \(a_{82}=-0.779954968\) \(a_{83}=-0.986691357\) \(a_{84}=+0.032134518\) \(a_{85}=+0.443570523\)
\(a_{86}=-0.855755978\) \(a_{87}=+0.041958042\) \(a_{88}=+0.099349710\) \(a_{89}=+0.679303658\) \(a_{90}=+2.449575222\)
\(a_{91}=-0.557531541\) \(a_{92}=-1.157375298\) \(a_{93}=+0.024701530\) \(a_{94}=-1.258639009\) \(a_{95}=-2.699955887\)
\(a_{96}=-0.058390342\) \(a_{97}=+0.069278560\) \(a_{98}=-0.290039871\) \(a_{99}=+0.371814635\) \(a_{100}=+1.878962098\)

Showing 100 of 546 available coefficients

Rows: Cols: