Maass form of level 2 with the smallest eigenvalue.
Maass form invariants
Level: | \( 2 \) |
Weight: | \( 0 \) |
Character: | 2.1 |
Symmetry: | odd |
Fricke sign: | $-1$ |
Spectral parameter: | \( 5.41733480684 \) |
Maass form coefficients
\(a_{1}=+1.000000000\) | \(a_{2}=+0.707106781\) | \(a_{3}=-0.380538572\) | \(a_{4}=+0.500000000\) | \(a_{5}=-0.253812464\) |
\(a_{6}=-0.269081407\) | \(a_{7}=+0.397600584\) | \(a_{8}=+0.353553391\) | \(a_{9}=-0.855190395\) | \(a_{10}=-0.179472515\) |
\(a_{11}=+1.201833974\) | \(a_{12}=-0.190269286\) | \(a_{13}=-0.948703217\) | \(a_{14}=+0.281146052\) | \(a_{15}=+0.096585433\) |
\(a_{16}=+0.250000000\) | \(a_{17}=+0.472807317\) | \(a_{18}=-0.604710927\) | \(a_{19}=-0.231256665\) | \(a_{20}=-0.126906232\) |
\(a_{21}=-0.151302349\) | \(a_{22}=+0.849824953\) | \(a_{23}=+0.398077372\) | \(a_{24}=-0.134540703\) | \(a_{25}=-0.935579233\) |
\(a_{26}=-0.670834478\) | \(a_{27}=+0.705971504\) | \(a_{28}=+0.198800280\) | \(a_{29}=+0.830299584\) | \(a_{30}=+0.068296215\) |
\(a_{31}=-0.985533801\) | \(a_{32}=+0.176776695\) | \(a_{33}=-0.457344185\) | \(a_{34}=+0.334325260\) | \(a_{35}=-0.100915978\) |
\(a_{36}=-0.427595197\) | \(a_{37}=+1.217345917\) | \(a_{38}=-0.163523156\) | \(a_{39}=+0.361018168\) | \(a_{40}=-0.089736257\) |
\(a_{41}=-1.213893128\) | \(a_{42}=-0.106986918\) | \(a_{43}=-0.208503006\) | \(a_{44}=+0.600916987\) | \(a_{45}=+0.217057982\) |
\(a_{46}=+0.281483209\) | \(a_{47}=+0.872905392\) | \(a_{48}=-0.095134646\) | \(a_{49}=-0.841913788\) | \(a_{50}=-0.661554406\) |
\(a_{51}=-0.179921422\) | \(a_{52}=-0.474351587\) | \(a_{53}=+1.010367542\) | \(a_{54}=+0.499197238\) | \(a_{55}=-0.305040443\) |
\(a_{56}=+0.140573026\) | \(a_{57}=+0.088002081\) | \(a_{58}=+0.587110466\) | \(a_{59}=-0.823124819\) | \(a_{60}=+0.048292716\) |
\(a_{61}=+0.141375520\) | \(a_{62}=-0.696877633\) | \(a_{63}=-0.340024180\) | \(a_{64}=+0.125000000\) | \(a_{65}=+0.240792702\) |
\(a_{66}=-0.323391175\) | \(a_{67}=+1.611398664\) | \(a_{68}=+0.236403659\) | \(a_{69}=-0.151483796\) | \(a_{70}=-0.071358373\) |
\(a_{71}=-0.662064806\) | \(a_{72}=-0.302355462\) | \(a_{73}=-1.524518975\) | \(a_{74}=+0.860793551\) | \(a_{75}=+0.356023986\) |
\(a_{76}=-0.115628338\) | \(a_{77}=+0.477849863\) | \(a_{78}=+0.255278402\) | \(a_{79}=+0.466176761\) | \(a_{80}=-0.063453114\) |
\(a_{81}=+0.586540998\) | \(a_{82}=-0.858352069\) | \(a_{83}=-0.497617329\) | \(a_{84}=-0.075651186\) | \(a_{85}=-0.120004402\) |
\(a_{86}=-0.147433905\) | \(a_{87}=-0.315961045\) | \(a_{88}=+0.424912531\) | \(a_{89}=+0.315840081\) | \(a_{90}=+0.153483288\) |
\(a_{91}=-0.377205294\) | \(a_{92}=+0.199038685\) | \(a_{93}=+0.375033626\) | \(a_{94}=+0.617237324\) | \(a_{95}=+0.058695824\) |
\(a_{96}=-0.067270351\) | \(a_{97}=-0.162357950\) | \(a_{98}=-0.595322954\) | \(a_{99}=-1.027796870\) | \(a_{100}=-0.467789618\) |
Showing 100 of 6000 available coefficients