Properties

Level $2$
Weight $0$
Character 2.1
Symmetry even
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 20.5476038597 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+0.260953916\) \(a_{4}=+0.500000000\) \(a_{5}=+0.576841311\)
\(a_{6}=-0.184522283\) \(a_{7}=+1.247920286\) \(a_{8}=-0.353553391\) \(a_{9}=-0.931903054\) \(a_{10}=-0.407888403\)
\(a_{11}=+0.241063792\) \(a_{12}=+0.130476958\) \(a_{13}=-0.920747509\) \(a_{14}=-0.882412897\) \(a_{15}=+0.150528999\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.220813886\) \(a_{18}=+0.658954969\) \(a_{19}=+1.910629878\) \(a_{20}=+0.288420655\)
\(a_{21}=+0.325649685\) \(a_{22}=-0.170457842\) \(a_{23}=+1.940560464\) \(a_{24}=-0.092261142\) \(a_{25}=-0.667254102\)
\(a_{26}=+0.651066807\) \(a_{27}=-0.504137666\) \(a_{28}=+0.623960143\) \(a_{29}=+0.279718593\) \(a_{30}=-0.106440076\)
\(a_{31}=-0.256302163\) \(a_{32}=-0.176776695\) \(a_{33}=+0.062906540\) \(a_{34}=-0.156138996\) \(a_{35}=+0.719851974\)
\(a_{36}=-0.465951527\) \(a_{37}=+1.129898290\) \(a_{38}=-1.351019343\) \(a_{39}=-0.240272668\) \(a_{40}=-0.203944201\)
\(a_{41}=+0.998854721\) \(a_{42}=-0.230269101\) \(a_{43}=+0.610449712\) \(a_{44}=+0.120531896\) \(a_{45}=-0.537560179\)
\(a_{46}=-1.372183464\) \(a_{47}=+0.710504899\) \(a_{48}=+0.065238479\) \(a_{49}=+0.557305041\) \(a_{50}=+0.471819901\)
\(a_{51}=+0.057622248\) \(a_{52}=-0.460373755\) \(a_{53}=-0.787300057\) \(a_{54}=+0.356479163\) \(a_{55}=+0.139055554\)
\(a_{56}=-0.441206449\) \(a_{57}=+0.498586348\) \(a_{58}=-0.197790914\) \(a_{59}=+0.353548062\) \(a_{60}=+0.075264499\)
\(a_{61}=+0.379035184\) \(a_{62}=+0.181232997\) \(a_{63}=-1.162940726\) \(a_{64}=+0.125000000\) \(a_{65}=-0.531125200\)
\(a_{66}=-0.044481641\) \(a_{67}=+0.774877044\) \(a_{68}=+0.110406943\) \(a_{69}=+0.506396852\) \(a_{70}=-0.509012212\)
\(a_{71}=+0.930535525\) \(a_{72}=+0.329477485\) \(a_{73}=-1.663429697\) \(a_{74}=-0.798958743\) \(a_{75}=-0.174122571\)
\(a_{76}=+0.955314939\) \(a_{77}=+0.300828397\) \(a_{78}=+0.169898433\) \(a_{79}=+0.184384531\) \(a_{80}=+0.144210328\)
\(a_{81}=+0.800346356\) \(a_{82}=-0.706296947\) \(a_{83}=-0.993961692\) \(a_{84}=+0.162824843\) \(a_{85}=+0.127374572\)
\(a_{86}=-0.431653131\) \(a_{87}=+0.072993662\) \(a_{88}=-0.085228921\) \(a_{89}=+0.872266918\) \(a_{90}=+0.380112448\)
\(a_{91}=-1.149019495\) \(a_{92}=+0.970280232\) \(a_{93}=-0.066883053\) \(a_{94}=-0.502402832\) \(a_{95}=+1.102130243\)
\(a_{96}=-0.046130571\) \(a_{97}=-1.229460844\) \(a_{98}=-0.394074174\) \(a_{99}=-0.224648084\) \(a_{100}=-0.333627051\)

Showing 100 of 1228 available coefficients

Rows: Cols: