Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 8.01848237839 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.520323346\) \(a_{3}=-1.550503607\) \(a_{4}=-0.729263615\) \(a_{5}=+0.447213596\)
\(a_{6}=+0.806763225\) \(a_{7}=-0.045011200\) \(a_{8}=+0.899776231\) \(a_{9}=+1.404061434\) \(a_{10}=-0.232695674\)
\(a_{11}=-1.647609025\) \(a_{12}=+1.130725866\) \(a_{13}=+0.894162032\) \(a_{14}=+0.023420378\) \(a_{15}=-0.693406293\)
\(a_{16}=+0.261089036\) \(a_{17}=+0.204061606\) \(a_{18}=-0.730565944\) \(a_{19}=+0.257830428\) \(a_{20}=-0.326136603\)
\(a_{21}=+0.069790028\) \(a_{22}=+0.857289441\) \(a_{23}=+1.044571349\) \(a_{24}=-1.395106291\) \(a_{25}=+0.200000000\)
\(a_{26}=-0.465253381\) \(a_{27}=-0.626498710\) \(a_{28}=+0.032825030\) \(a_{29}=+0.976594953\) \(a_{30}=+0.360795482\)
\(a_{31}=-0.891283695\) \(a_{32}=-1.035626952\) \(a_{33}=+2.554623735\) \(a_{34}=-0.106178018\) \(a_{35}=-0.020129621\)
\(a_{36}=-1.023930917\) \(a_{37}=+0.258267341\) \(a_{38}=-0.134155191\) \(a_{39}=-1.386401457\) \(a_{40}=+0.402392164\)
\(a_{41}=-0.249898917\) \(a_{42}=-0.036313380\) \(a_{43}=+0.907469927\) \(a_{44}=+1.201541315\) \(a_{45}=+0.627915361\)
\(a_{46}=-0.543514862\) \(a_{47}=-0.066468247\) \(a_{48}=-0.404819498\) \(a_{49}=-0.997973976\) \(a_{50}=-0.104064675\)
\(a_{51}=-0.316398260\) \(a_{52}=-0.652079841\) \(a_{53}=+1.780532485\) \(a_{54}=+0.325981920\) \(a_{55}=-0.736833136\)
\(a_{56}=-0.040499896\) \(a_{57}=-0.399767180\) \(a_{58}=-0.508145007\) \(a_{59}=+0.738628666\) \(a_{60}=+0.505675980\)
\(a_{61}=+0.360866322\) \(a_{62}=+0.463755714\) \(a_{63}=-0.063198490\) \(a_{64}=+0.277771845\) \(a_{65}=+0.399881418\)
\(a_{66}=-1.329230370\) \(a_{67}=-0.634085964\) \(a_{68}=-0.148814705\) \(a_{69}=-1.619611644\) \(a_{70}=+0.010473912\)
\(a_{71}=+1.281597729\) \(a_{72}=+1.263341105\) \(a_{73}=-0.173528584\) \(a_{74}=-0.134382527\) \(a_{75}=-0.310100722\)
\(a_{76}=-0.188026351\) \(a_{77}=+0.074160862\) \(a_{78}=+0.721377043\) \(a_{79}=+0.478882207\) \(a_{80}=+0.116762566\)
\(a_{81}=-0.432672928\) \(a_{82}=+0.130028240\) \(a_{83}=+0.197562793\) \(a_{84}=-0.050895328\) \(a_{85}=+0.091259126\)
\(a_{86}=-0.472177778\) \(a_{87}=-1.514214015\) \(a_{88}=-1.482479430\) \(a_{89}=+1.732167365\) \(a_{90}=-0.326719009\)
\(a_{91}=-0.040247280\) \(a_{92}=-0.761767899\) \(a_{93}=+1.381938601\) \(a_{94}=+0.034584996\) \(a_{95}=+0.115305226\)
\(a_{96}=+1.605743230\) \(a_{97}=+1.111067169\) \(a_{98}=+0.519269099\) \(a_{99}=-2.313344204\) \(a_{100}=-0.145852760\)

Showing 100 of 5000 available coefficients

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