Properties

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

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Maass form invariants

Level: \( 23 \)
Weight: \( 0 \)
Character: 23.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 1.93525049265 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.767168257\) \(a_{3}=-1.353557030\) \(a_{4}=+2.122883648\) \(a_{5}=-0.730662324\)
\(a_{6}=-2.391963018\) \(a_{7}=+0.972258422\) \(a_{8}=+1.984324339\) \(a_{9}=+0.832116635\) \(a_{10}=-1.291203265\)
\(a_{11}=+0.572317656\) \(a_{12}=-2.873444086\) \(a_{13}=-1.207937220\) \(a_{14}=+1.718144222\) \(a_{15}=+0.988993125\)
\(a_{16}=+1.383751335\) \(a_{17}=+1.001330013\) \(a_{18}=+1.470490102\) \(a_{19}=-0.523918921\) \(a_{20}=-1.551111099\)
\(a_{21}=-1.316007223\) \(a_{22}=+1.011381594\) \(a_{23}=+0.208514414\) \(a_{24}=-2.685896159\) \(a_{25}=-0.466132569\)
\(a_{26}=-2.134628311\) \(a_{27}=+0.227239710\) \(a_{28}=+2.063991507\) \(a_{29}=+0.084863086\) \(a_{30}=+1.747717257\)
\(a_{31}=-0.271923915\) \(a_{32}=+0.460997095\) \(a_{33}=-0.774664587\) \(a_{34}=+1.769518613\) \(a_{35}=-0.710392598\)
\(a_{36}=+1.766486797\) \(a_{37}=-0.726358594\) \(a_{38}=-0.925852887\) \(a_{39}=+1.635011916\) \(a_{40}=-1.449871032\)
\(a_{41}=+0.689347271\) \(a_{42}=-2.325606190\) \(a_{43}=+0.735253042\) \(a_{44}=+1.214963793\) \(a_{45}=-0.607996274\)
\(a_{46}=+0.368480054\) \(a_{47}=+1.936535282\) \(a_{48}=-1.872986347\) \(a_{49}=-0.054713560\) \(a_{50}=-0.823734679\)
\(a_{51}=-1.355357279\) \(a_{52}=-2.564310172\) \(a_{53}=+0.272943599\) \(a_{54}=+0.401570802\) \(a_{55}=-0.418170948\)
\(a_{56}=+1.929276051\) \(a_{57}=+0.709154139\) \(a_{58}=+0.149967353\) \(a_{59}=-0.697194951\) \(a_{60}=+2.099517333\)
\(a_{61}=+0.802170402\) \(a_{62}=-0.480535311\) \(a_{63}=+0.809032406\) \(a_{64}=-0.569091902\) \(a_{65}=+0.882594216\)
\(a_{66}=-1.368962668\) \(a_{67}=-1.498381832\) \(a_{68}=+2.125707110\) \(a_{69}=-0.282236151\) \(a_{70}=-1.255383250\)
\(a_{71}=-1.424230627\) \(a_{72}=+1.651189290\) \(a_{73}=+0.018195434\) \(a_{74}=-1.283597850\) \(a_{75}=+0.630937015\)
\(a_{76}=-1.112218911\) \(a_{77}=+0.556440661\) \(a_{78}=+2.889341158\) \(a_{79}=+1.367274838\) \(a_{80}=-1.011054966\)
\(a_{81}=-1.139698541\) \(a_{82}=+1.218192615\) \(a_{83}=+0.574690108\) \(a_{84}=-2.793730214\) \(a_{85}=-0.731634114\)
\(a_{86}=+1.299315837\) \(a_{87}=-0.114867027\) \(a_{88}=+1.135663854\) \(a_{89}=-1.767984818\) \(a_{90}=-1.074431715\)
\(a_{91}=-1.174427136\) \(a_{92}=+0.442651840\) \(a_{93}=+0.368064527\) \(a_{94}=+3.422183679\) \(a_{95}=+0.382807817\)
\(a_{96}=-0.623985859\) \(a_{97}=+0.316099932\) \(a_{98}=-0.096688066\) \(a_{99}=+0.476235042\) \(a_{100}=-0.989545208\)

Showing 100 of 546 available coefficients

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