Properties

Level $2$
Weight $0$
Character 2.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 15.4428777438 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+1.211505362\) \(a_{4}=+0.500000000\) \(a_{5}=+1.145322569\)
\(a_{6}=+0.856663657\) \(a_{7}=-1.076113802\) \(a_{8}=+0.353553391\) \(a_{9}=+0.467745242\) \(a_{10}=+0.809865355\)
\(a_{11}=+1.146805153\) \(a_{12}=+0.605752681\) \(a_{13}=+0.617581140\) \(a_{14}=-0.760927367\) \(a_{15}=+1.387564434\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.241613731\) \(a_{18}=+0.330745833\) \(a_{19}=+0.557710859\) \(a_{20}=+0.572661285\)
\(a_{21}=-1.303717642\) \(a_{22}=+0.810913700\) \(a_{23}=-0.786427529\) \(a_{24}=+0.428331828\) \(a_{25}=+0.311763787\)
\(a_{26}=+0.436695812\) \(a_{27}=-0.644829493\) \(a_{28}=-0.538056901\) \(a_{29}=+0.081675523\) \(a_{30}=+0.981156220\)
\(a_{31}=-0.887458599\) \(a_{32}=+0.176776695\) \(a_{33}=+1.389360592\) \(a_{34}=-0.877953489\) \(a_{35}=-1.232497425\)
\(a_{36}=+0.233872621\) \(a_{37}=+0.334640069\) \(a_{38}=+0.394361131\) \(a_{39}=+0.748202862\) \(a_{40}=+0.404932678\)
\(a_{41}=-1.335034593\) \(a_{42}=-0.921867585\) \(a_{43}=+0.399666439\) \(a_{44}=+0.573402576\) \(a_{45}=+0.535719182\)
\(a_{46}=-0.556088239\) \(a_{47}=+0.105278810\) \(a_{48}=+0.302876340\) \(a_{49}=+0.158020915\) \(a_{50}=+0.220450288\)
\(a_{51}=-1.504221693\) \(a_{52}=+0.308790570\) \(a_{53}=+0.162588879\) \(a_{54}=-0.455963307\) \(a_{55}=+1.313461824\)
\(a_{56}=-0.380463683\) \(a_{57}=+0.675669696\) \(a_{58}=+0.057753316\) \(a_{59}=-1.431063920\) \(a_{60}=+0.693782217\)
\(a_{61}=-0.033398185\) \(a_{62}=-0.627527993\) \(a_{63}=-0.503347111\) \(a_{64}=+0.125000000\) \(a_{65}=+0.707329618\)
\(a_{66}=+0.982426296\) \(a_{67}=+0.912286314\) \(a_{68}=-0.620806865\) \(a_{69}=-0.952761169\) \(a_{70}=-0.871507287\)
\(a_{71}=-0.225004652\) \(a_{72}=+0.165372916\) \(a_{73}=+0.533113455\) \(a_{74}=+0.236626262\) \(a_{75}=+0.377703500\)
\(a_{76}=+0.278855430\) \(a_{77}=-1.234092853\) \(a_{78}=+0.529059318\) \(a_{79}=+0.968795950\) \(a_{80}=+0.286330642\)
\(a_{81}=-1.248959631\) \(a_{82}=-0.944012014\) \(a_{83}=+1.805273400\) \(a_{84}=-0.651858821\) \(a_{85}=-1.422048228\)
\(a_{86}=+0.282606849\) \(a_{87}=+0.098950334\) \(a_{88}=+0.405456850\) \(a_{89}=+1.733343746\) \(a_{90}=+0.378810667\)
\(a_{91}=-0.664587588\) \(a_{92}=-0.393213765\) \(a_{93}=-1.075160851\) \(a_{94}=+0.074443361\) \(a_{95}=+0.638758834\)
\(a_{96}=+0.214165914\) \(a_{97}=-1.722940285\) \(a_{98}=+0.111737661\) \(a_{99}=+0.536412654\) \(a_{100}=+0.155881894\)

Showing 100 of 1228 available coefficients

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