Properties

Level $43$
Weight $0$
Character 43.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 43 \)
Weight: \( 0 \)
Character: 43.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.655452381862 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.241798706\) \(a_{3}=+1.204286312\) \(a_{4}=-0.941533386\) \(a_{5}=-1.031921009\)
\(a_{6}=+0.291194874\) \(a_{7}=+0.694683495\) \(a_{8}=-0.469460261\) \(a_{9}=+0.450305522\) \(a_{10}=-0.249517168\)
\(a_{11}=+0.390142052\) \(a_{12}=-1.133875771\) \(a_{13}=-0.712229384\) \(a_{14}=+0.167973576\) \(a_{15}=-1.242728339\)
\(a_{16}=+0.828018504\) \(a_{17}=-0.326344871\) \(a_{18}=+0.108883276\) \(a_{19}=+1.062041208\) \(a_{20}=+0.971588087\)
\(a_{21}=+0.836597835\) \(a_{22}=+0.094335875\) \(a_{23}=+1.057094688\) \(a_{24}=-0.565364584\) \(a_{25}=+0.064860922\)
\(a_{26}=-0.172216186\) \(a_{27}=-0.661989486\) \(a_{28}=-0.654067651\) \(a_{29}=+1.434067084\) \(a_{30}=-0.300490105\)
\(a_{31}=-1.651923995\) \(a_{32}=+0.669674052\) \(a_{33}=+0.469842746\) \(a_{34}=-0.078909766\) \(a_{35}=-0.716858485\)
\(a_{36}=-0.423977678\) \(a_{37}=-0.007022719\) \(a_{38}=+0.256800207\) \(a_{39}=-0.857728108\) \(a_{40}=+0.484445905\)
\(a_{41}=-0.159329227\) \(a_{42}=+0.202288231\) \(a_{43}=+0.152498565\) \(a_{44}=-0.367331674\) \(a_{45}=-0.464679666\)
\(a_{46}=+0.255604171\) \(a_{47}=-0.369912598\) \(a_{48}=+0.997171357\) \(a_{49}=-0.517414739\) \(a_{50}=+0.015683344\)
\(a_{51}=-0.393012725\) \(a_{52}=+0.670587700\) \(a_{53}=-1.058246797\) \(a_{54}=-0.160068265\) \(a_{55}=-0.402595812\)
\(a_{56}=-0.326126267\) \(a_{57}=+1.279001784\) \(a_{58}=+0.346755613\) \(a_{59}=-1.145925498\) \(a_{60}=+1.170070222\)
\(a_{61}=+0.350111908\) \(a_{62}=-0.399433190\) \(a_{63}=+0.312819751\) \(a_{64}=-0.666092211\) \(a_{65}=+0.734964442\)
\(a_{66}=+0.113607364\) \(a_{67}=+1.650562886\) \(a_{68}=+0.307264540\) \(a_{69}=+1.273044696\) \(a_{70}=-0.173335469\)
\(a_{71}=+0.571445020\) \(a_{72}=-0.211400551\) \(a_{73}=+0.210862064\) \(a_{74}=-0.001698112\) \(a_{75}=+0.078111224\)
\(a_{76}=-0.999947196\) \(a_{77}=+0.271025248\) \(a_{78}=-0.207397627\) \(a_{79}=+0.186224784\) \(a_{80}=-0.854449695\)
\(a_{81}=-1.247530450\) \(a_{82}=-0.038525508\) \(a_{83}=-0.624288356\) \(a_{84}=-0.787684848\) \(a_{85}=+0.336762032\)
\(a_{86}=+0.036874056\) \(a_{87}=+1.727027183\) \(a_{88}=-0.183156235\) \(a_{89}=-0.749712193\) \(a_{90}=-0.112358928\)
\(a_{91}=-0.494773910\) \(a_{92}=-0.995289968\) \(a_{93}=-1.989389463\) \(a_{94}=-0.089444329\) \(a_{95}=-1.095942629\)
\(a_{96}=+0.806479269\) \(a_{97}=+0.591831617\) \(a_{98}=-0.125110244\) \(a_{99}=+0.175683077\) \(a_{100}=-0.061068777\)

Showing 100 of 1000 available coefficients

Rows: Cols: