Properties

Level $11$
Weight $0$
Character 11.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 7.51799881467 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.685986557\) \(a_{3}=+0.679231316\) \(a_{4}=+1.842550669\) \(a_{5}=-0.748032024\)
\(a_{6}=-1.145174869\) \(a_{7}=-0.261529568\) \(a_{8}=-1.420529102\) \(a_{9}=-0.538644819\) \(a_{10}=+1.261171937\)
\(a_{11}=+0.301511345\) \(a_{12}=+1.251518117\) \(a_{13}=-1.109358197\) \(a_{14}=+0.440935335\) \(a_{15}=-0.508086777\)
\(a_{16}=+0.552442300\) \(a_{17}=+1.966714957\) \(a_{18}=+0.908147923\) \(a_{19}=+0.497807145\) \(a_{20}=-1.378286907\)
\(a_{21}=-0.177639072\) \(a_{22}=-0.508344074\) \(a_{23}=+0.927173112\) \(a_{24}=-0.964867852\) \(a_{25}=-0.440448091\)
\(a_{26}=+1.870363006\) \(a_{27}=-1.045095746\) \(a_{28}=-0.481881480\) \(a_{29}=+0.925720733\) \(a_{30}=+0.856627475\)
\(a_{31}=+1.213538114\) \(a_{32}=+0.489118811\) \(a_{33}=+0.204795948\) \(a_{34}=-3.315854979\) \(a_{35}=+0.195632492\)
\(a_{36}=-0.992480371\) \(a_{37}=+0.978713826\) \(a_{38}=-0.839296154\) \(a_{39}=-0.753510828\) \(a_{40}=+1.062601260\)
\(a_{41}=+1.275481742\) \(a_{42}=+0.299497088\) \(a_{43}=+0.484202337\) \(a_{44}=+0.555549930\) \(a_{45}=+0.402923574\)
\(a_{46}=-1.563201403\) \(a_{47}=-0.738821363\) \(a_{48}=+0.375236111\) \(a_{49}=-0.931602285\) \(a_{50}=+0.742589560\)
\(a_{51}=+1.335854390\) \(a_{52}=-2.044048688\) \(a_{53}=-0.062660659\) \(a_{54}=+1.762017378\) \(a_{55}=-0.225540141\)
\(a_{56}=+0.371510362\) \(a_{57}=+0.338126203\) \(a_{58}=-1.560752711\) \(a_{59}=+1.064453164\) \(a_{60}=-0.936175630\)
\(a_{61}=+0.908682262\) \(a_{62}=-2.046008946\) \(a_{63}=+0.140871546\) \(a_{64}=-1.377090040\) \(a_{65}=+0.829835457\)
\(a_{66}=-0.345283214\) \(a_{67}=-0.097443907\) \(a_{68}=+3.623771961\) \(a_{69}=+0.629765014\) \(a_{70}=-0.329833751\)
\(a_{71}=-1.561971677\) \(a_{72}=+0.765160641\) \(a_{73}=+0.844268257\) \(a_{74}=-1.650098353\) \(a_{75}=-0.299166137\)
\(a_{76}=+0.917234888\) \(a_{77}=-0.078854132\) \(a_{78}=+1.270409127\) \(a_{79}=+0.215833935\) \(a_{80}=-0.413244532\)
\(a_{81}=-0.171216941\) \(a_{82}=-2.150445070\) \(a_{83}=-0.307552872\) \(a_{84}=-0.327308992\) \(a_{85}=-1.471165770\)
\(a_{86}=-0.816358631\) \(a_{87}=+0.628778512\) \(a_{88}=-0.428305640\) \(a_{89}=+1.868747003\) \(a_{90}=-0.679323729\)
\(a_{91}=+0.290129969\) \(a_{92}=+1.708363439\) \(a_{93}=+0.824273091\) \(a_{94}=+1.245642885\) \(a_{95}=-0.372375686\)
\(a_{96}=+0.332224814\) \(a_{97}=-0.448488047\) \(a_{98}=+1.570668929\) \(a_{99}=-0.162407524\) \(a_{100}=-0.811547925\)

Showing 100 of 546 available coefficients

Rows: Cols: