Properties

Level $953$
Weight $0$
Character 953.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 953 \)
Weight: \( 0 \)
Character: 953.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.6131606699 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.953352711\) \(a_{3}=+0.587685639\) \(a_{4}=-0.091118485\) \(a_{5}=+0.195208716\)
\(a_{6}=-0.560271753\) \(a_{7}=-0.588590914\) \(a_{8}=+1.040220743\) \(a_{9}=-0.654625893\) \(a_{10}=-0.186102841\)
\(a_{11}=-0.093379660\) \(a_{12}=-0.053549098\) \(a_{13}=+0.783348837\) \(a_{14}=+0.561134792\) \(a_{15}=+0.114720928\)
\(a_{16}=-0.900578372\) \(a_{17}=-0.132318456\) \(a_{18}=+0.624089435\) \(a_{19}=+1.342254649\) \(a_{20}=-0.017787051\)
\(a_{21}=-0.345905875\) \(a_{22}=+0.089023714\) \(a_{23}=-0.450869156\) \(a_{24}=+0.611323036\) \(a_{25}=-0.961893796\)
\(a_{26}=-0.746807790\) \(a_{27}=-0.972399767\) \(a_{28}=+0.053631314\) \(a_{29}=-1.318367723\) \(a_{30}=-0.109369513\)
\(a_{31}=+0.647362375\) \(a_{32}=-0.181652477\) \(a_{33}=-0.054878330\) \(a_{34}=+0.126146266\) \(a_{35}=-0.114897740\)
\(a_{36}=+0.059648555\) \(a_{37}=+0.709857144\) \(a_{38}=-1.279642380\) \(a_{39}=+0.460362862\) \(a_{40}=+0.203060236\)
\(a_{41}=-1.831276979\) \(a_{42}=+0.329770335\) \(a_{43}=+1.166019548\) \(a_{44}=+0.008509107\) \(a_{45}=-0.127788611\)
\(a_{46}=+0.429837327\) \(a_{47}=-1.152023410\) \(a_{48}=-0.529257182\) \(a_{49}=-0.653561221\) \(a_{50}=+0.917023961\)
\(a_{51}=-0.077761459\) \(a_{52}=-0.071377452\) \(a_{53}=+0.516736457\) \(a_{54}=+0.927040007\) \(a_{55}=-0.018228835\)
\(a_{56}=-0.612264093\) \(a_{57}=+0.788823906\) \(a_{58}=+1.256869534\) \(a_{59}=-0.749296738\) \(a_{60}=-0.010453218\)
\(a_{61}=-1.198873037\) \(a_{62}=-0.617164284\) \(a_{63}=+0.385306827\) \(a_{64}=+1.073757577\) \(a_{65}=+0.152916234\)
\(a_{66}=+0.052318602\) \(a_{67}=-0.109227784\) \(a_{68}=+0.012056397\) \(a_{69}=-0.264969381\) \(a_{70}=+0.109538147\)
\(a_{71}=+0.405689517\) \(a_{72}=-0.680955470\) \(a_{73}=-1.093548578\) \(a_{74}=-0.676744492\) \(a_{75}=-0.565290473\)
\(a_{76}=-0.122304574\) \(a_{77}=+0.054962701\) \(a_{78}=-0.438887893\) \(a_{79}=+0.269310011\) \(a_{80}=-0.175800979\)
\(a_{81}=+0.083160937\) \(a_{82}=+1.745852919\) \(a_{83}=-1.798860374\) \(a_{84}=+0.031518659\) \(a_{85}=-0.025829182\)
\(a_{86}=-1.111627490\) \(a_{87}=-0.774785293\) \(a_{88}=-0.097136112\) \(a_{89}=+0.281245353\) \(a_{90}=+0.121827426\)
\(a_{91}=-0.461071949\) \(a_{92}=+0.041083002\) \(a_{93}=+0.380445469\) \(a_{94}=+1.098284196\) \(a_{95}=+0.262019832\)
\(a_{96}=-0.106753831\) \(a_{97}=-0.999851884\) \(a_{98}=+0.623074004\) \(a_{99}=+0.061128824\) \(a_{100}=+0.087646210\)

Showing 100 of 2590 available coefficients

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