Properties

Level $631$
Weight $0$
Character 631.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 631 \)
Weight: \( 0 \)
Character: 631.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 0.9502346511 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.360972587\) \(a_{3}=-0.742452178\) \(a_{4}=+0.852246456\) \(a_{5}=-0.398983556\)
\(a_{6}=+1.010457072\) \(a_{7}=+0.876389596\) \(a_{8}=+0.201088703\) \(a_{9}=-0.448764752\) \(a_{10}=+0.543005411\)
\(a_{11}=+0.692398977\) \(a_{12}=-0.632752257\) \(a_{13}=-0.487273632\) \(a_{14}=-1.192742349\) \(a_{15}=+0.296226247\)
\(a_{16}=-1.125922757\) \(a_{17}=-1.035010304\) \(a_{18}=+0.610756492\) \(a_{19}=-0.757688043\) \(a_{20}=-0.340032086\)
\(a_{21}=-0.650677445\) \(a_{22}=-0.942335700\) \(a_{23}=+0.220617803\) \(a_{24}=-0.149298743\) \(a_{25}=-0.840812111\)
\(a_{26}=+0.663166244\) \(a_{27}=+1.075638655\) \(a_{28}=+0.746899916\) \(a_{29}=-1.287055868\) \(a_{30}=-0.403155563\)
\(a_{31}=-0.937379894\) \(a_{32}=+1.331261011\) \(a_{33}=-0.514073244\) \(a_{34}=+1.408620874\) \(a_{35}=-0.349664813\)
\(a_{36}=-0.382458083\) \(a_{37}=-0.553103505\) \(a_{38}=+1.031192631\) \(a_{39}=+0.361777417\) \(a_{40}=-0.080231068\)
\(a_{41}=+0.932182207\) \(a_{42}=+0.885554194\) \(a_{43}=+0.667240047\) \(a_{44}=+0.590094260\) \(a_{45}=+0.179049504\)
\(a_{46}=-0.300254895\) \(a_{47}=-0.448307241\) \(a_{48}=+0.835943821\) \(a_{49}=-0.231941270\) \(a_{50}=+1.144322612\)
\(a_{51}=+0.768445610\) \(a_{52}=-0.415277386\) \(a_{53}=-0.312099227\) \(a_{54}=-1.463914661\) \(a_{55}=-0.276255714\)
\(a_{56}=+0.176232137\) \(a_{57}=+0.562547149\) \(a_{58}=+1.751647522\) \(a_{59}=+0.883987943\) \(a_{60}=+0.252457536\)
\(a_{61}=-1.754036625\) \(a_{62}=+1.275748215\) \(a_{63}=-0.393292757\) \(a_{64}=-0.685887030\) \(a_{65}=+0.194414138\)
\(a_{66}=+0.699639259\) \(a_{67}=+0.294458513\) \(a_{68}=-0.882083848\) \(a_{69}=-0.163798112\) \(a_{70}=+0.475884291\)
\(a_{71}=+0.736145022\) \(a_{72}=-0.090241627\) \(a_{73}=+1.645726542\) \(a_{74}=+0.752758652\) \(a_{75}=+0.624262902\)
\(a_{76}=-0.645736775\) \(a_{77}=+0.606811122\) \(a_{78}=-0.492369274\) \(a_{79}=-1.163906514\) \(a_{80}=+0.449224540\)
\(a_{81}=-0.349845467\) \(a_{82}=-1.268674555\) \(a_{83}=+1.846291880\) \(a_{84}=-0.554537515\) \(a_{85}=+0.412951801\)
\(a_{86}=-0.908095307\) \(a_{87}=+0.955577428\) \(a_{88}=+0.139233547\) \(a_{89}=-0.335917378\) \(a_{90}=-0.243681571\)
\(a_{91}=-0.427041572\) \(a_{92}=+0.188020645\) \(a_{93}=+0.695959823\) \(a_{94}=+0.610134051\) \(a_{95}=+0.302304916\)
\(a_{96}=-0.988397593\) \(a_{97}=-1.417952169\) \(a_{98}=+0.315665574\) \(a_{99}=-0.310724140\) \(a_{100}=-0.716579254\)

Showing 100 of 1732 available coefficients

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