Properties

Level $23$
Weight $0$
Character 23.1
Symmetry odd
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 23 \)
Weight: \( 0 \)
Character: 23.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 2.73627771325 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.177132902\) \(a_{3}=-1.403870065\) \(a_{4}=-0.968623935\) \(a_{5}=+1.410045812\)
\(a_{6}=-0.248671578\) \(a_{7}=-1.271562953\) \(a_{8}=-0.348708070\) \(a_{9}=+0.970851160\) \(a_{10}=+0.249765506\)
\(a_{11}=+0.149652281\) \(a_{12}=+1.359822147\) \(a_{13}=-1.468431719\) \(a_{14}=-0.225235635\) \(a_{15}=-1.979521106\)
\(a_{16}=+0.906856263\) \(a_{17}=+0.530607825\) \(a_{18}=+0.171969683\) \(a_{19}=-0.923717853\) \(a_{20}=-1.365804123\)
\(a_{21}=+1.785109166\) \(a_{22}=+0.026508343\) \(a_{23}=-0.208514414\) \(a_{24}=+0.489540821\) \(a_{25}=+0.988229191\)
\(a_{26}=-0.260107571\) \(a_{27}=+0.040921184\) \(a_{28}=+1.231666311\) \(a_{29}=+0.155375752\) \(a_{30}=-0.350638317\)
\(a_{31}=-0.982808448\) \(a_{32}=+0.509342151\) \(a_{33}=-0.210092358\) \(a_{34}=+0.093988104\) \(a_{35}=-1.792962016\)
\(a_{36}=-0.940389671\) \(a_{37}=-0.390186193\) \(a_{38}=-0.163620823\) \(a_{39}=+2.061487334\) \(a_{40}=-0.491694353\)
\(a_{41}=+0.994423124\) \(a_{42}=+0.316201566\) \(a_{43}=-1.454355075\) \(a_{44}=-0.144956782\) \(a_{45}=+1.368944612\)
\(a_{46}=-0.036934763\) \(a_{47}=-0.711661368\) \(a_{48}=-1.273108361\) \(a_{49}=+0.616872343\) \(a_{50}=+0.175047904\)
\(a_{51}=-0.744904442\) \(a_{52}=+1.422358111\) \(a_{53}=-0.586587745\) \(a_{54}=+0.007248488\) \(a_{55}=+0.211016573\)
\(a_{56}=+0.443404263\) \(a_{57}=+1.296779842\) \(a_{58}=+0.027522158\) \(a_{59}=+0.993745622\) \(a_{60}=+1.917411523\)
\(a_{61}=-0.379570895\) \(a_{62}=-0.174087712\) \(a_{63}=-1.234498368\) \(a_{64}=-0.816635010\) \(a_{65}=-2.070555995\)
\(a_{66}=-0.037214269\) \(a_{67}=+0.329134017\) \(a_{68}=-0.513959439\) \(a_{69}=+0.292727144\) \(a_{70}=-0.317592564\)
\(a_{71}=-0.321520092\) \(a_{72}=-0.338543634\) \(a_{73}=-0.008784537\) \(a_{74}=-0.069114812\) \(a_{75}=-1.387345379\)
\(a_{76}=+0.894735221\) \(a_{77}=-0.190292297\) \(a_{78}=+0.365157233\) \(a_{79}=+1.921666084\) \(a_{80}=+1.278708875\)
\(a_{81}=-1.028299185\) \(a_{82}=+0.176145053\) \(a_{83}=-0.247950483\) \(a_{84}=-1.729099465\) \(a_{85}=+0.748181341\)
\(a_{86}=-0.257614134\) \(a_{87}=-0.218127366\) \(a_{88}=-0.052184958\) \(a_{89}=-0.025919478\) \(a_{90}=+0.242485131\)
\(a_{91}=+1.867203373\) \(a_{92}=+0.201972052\) \(a_{93}=+1.379735360\) \(a_{94}=-0.126058643\) \(a_{95}=-1.302484489\)
\(a_{96}=-0.715050199\) \(a_{97}=-0.229765251\) \(a_{98}=+0.109268388\) \(a_{99}=+0.145290091\) \(a_{100}=-0.957222448\)

Showing 100 of 546 available coefficients

Rows: Cols: