Properties

Level $46$
Weight $0$
Character 46.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 46 = 2 \cdot 23 \)
Weight: \( 0 \)
Character: 46.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.782058538571 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-0.990811325\) \(a_{4}=+0.500000000\) \(a_{5}=-1.293994078\)
\(a_{6}=+0.700609407\) \(a_{7}=+0.950301595\) \(a_{8}=-0.353553391\) \(a_{9}=-0.018292917\) \(a_{10}=+0.914991988\)
\(a_{11}=+1.270028598\) \(a_{12}=-0.495405663\) \(a_{13}=+0.120376309\) \(a_{14}=-0.671964702\) \(a_{15}=+1.282103988\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.753923914\) \(a_{18}=+0.012935046\) \(a_{19}=-0.654788260\) \(a_{20}=-0.646997039\)
\(a_{21}=-0.941569583\) \(a_{22}=-0.898045834\) \(a_{23}=-0.208514414\) \(a_{24}=+0.350304704\) \(a_{25}=+0.674420674\)
\(a_{26}=-0.085118905\) \(a_{27}=+1.008936156\) \(a_{28}=+0.475150798\) \(a_{29}=+0.168924173\) \(a_{30}=-0.906584424\)
\(a_{31}=-0.375041414\) \(a_{32}=-0.176776697\) \(a_{33}=-1.258358719\) \(a_{34}=+0.533104714\) \(a_{35}=-1.229684636\)
\(a_{36}=-0.009146460\) \(a_{37}=+1.623292124\) \(a_{38}=+0.463005218\) \(a_{39}=-0.119270214\) \(a_{40}=+0.457495994\)
\(a_{41}=+0.339768880\) \(a_{42}=+0.665790235\) \(a_{43}=+0.300168671\) \(a_{44}=+0.635014306\) \(a_{45}=+0.023670930\)
\(a_{46}=+0.147441940\) \(a_{47}=+1.292242046\) \(a_{48}=-0.247702824\) \(a_{49}=-0.096926875\) \(a_{50}=-0.476887443\)
\(a_{51}=+0.746996373\) \(a_{52}=+0.060188147\) \(a_{53}=-0.932594577\) \(a_{54}=-0.713425596\) \(a_{55}=-1.643409470\)
\(a_{56}=-0.335982362\) \(a_{57}=+0.648771630\) \(a_{58}=-0.119447394\) \(a_{59}=-0.257898478\) \(a_{60}=+0.641051956\)
\(a_{61}=-1.721291081\) \(a_{62}=+0.265194324\) \(a_{63}=-0.017383838\) \(a_{64}=+0.125000033\) \(a_{65}=-0.155766391\)
\(a_{66}=+0.889794068\) \(a_{67}=-0.961609850\) \(a_{68}=-0.376961960\) \(a_{69}=+0.206598377\) \(a_{70}=+0.869518307\)
\(a_{71}=+1.981129274\) \(a_{72}=+0.006467600\) \(a_{73}=-0.290260595\) \(a_{74}=-1.147841371\) \(a_{75}=-0.668223605\)
\(a_{76}=-0.327393627\) \(a_{77}=+1.206910045\) \(a_{78}=+0.084337090\) \(a_{79}=+0.561792223\) \(a_{80}=-0.323498071\)
\(a_{81}=-0.981371807\) \(a_{82}=-0.240252601\) \(a_{83}=-1.409437400\) \(a_{84}=-0.470785089\) \(a_{85}=+0.975574357\)
\(a_{86}=-0.212251905\) \(a_{87}=-0.167371877\) \(a_{88}=-0.449022805\) \(a_{89}=+1.202657710\) \(a_{90}=-0.016738406\)
\(a_{91}=+0.114394201\) \(a_{92}=-0.104256877\) \(a_{93}=+0.371596204\) \(a_{94}=-0.913753552\) \(a_{95}=+0.847292152\)
\(a_{96}=+0.175152394\) \(a_{97}=-0.407588187\) \(a_{98}=+0.068537687\) \(a_{99}=-0.023232513\) \(a_{100}=+0.337210384\)

Showing 100 of 2000 available coefficients

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