Properties

Level $701$
Weight $0$
Character 701.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 701 \)
Weight: \( 0 \)
Character: 701.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.9548466186 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.628655482\) \(a_{3}=-0.506159293\) \(a_{4}=+1.652518238\) \(a_{5}=+0.704151998\)
\(a_{6}=-0.824358104\) \(a_{7}=+0.822861349\) \(a_{8}=+1.062727177\) \(a_{9}=-0.743801027\) \(a_{10}=+1.146821045\)
\(a_{11}=-0.625658820\) \(a_{12}=-0.836436844\) \(a_{13}=-1.386118092\) \(a_{14}=+1.340157837\) \(a_{15}=-0.356415567\)
\(a_{16}=+0.078298692\) \(a_{17}=+1.451382593\) \(a_{18}=-1.211396048\) \(a_{19}=+0.859655404\) \(a_{20}=+1.163624587\)
\(a_{21}=-0.416498596\) \(a_{22}=-1.018983037\) \(a_{23}=+1.299861168\) \(a_{24}=-0.537909190\) \(a_{25}=-0.504167069\)
\(a_{26}=-2.257508796\) \(a_{27}=+0.882641462\) \(a_{28}=+1.359793026\) \(a_{29}=-1.165160094\) \(a_{30}=-0.580477302\)
\(a_{31}=-0.645542773\) \(a_{32}=-0.935205649\) \(a_{33}=+0.316683318\) \(a_{34}=+2.363802517\) \(a_{35}=+0.579420173\)
\(a_{36}=-1.229146738\) \(a_{37}=+1.608907764\) \(a_{38}=+1.400082178\) \(a_{39}=+0.701595454\) \(a_{40}=+0.748322697\)
\(a_{41}=-1.268772098\) \(a_{42}=-0.678332449\) \(a_{43}=+1.091792254\) \(a_{44}=-1.033913046\) \(a_{45}=-0.523751569\)
\(a_{46}=+2.117026348\) \(a_{47}=-1.021730930\) \(a_{48}=-0.039632144\) \(a_{49}=-0.322899793\) \(a_{50}=-0.821115176\)
\(a_{51}=-0.734631857\) \(a_{52}=-2.290586262\) \(a_{53}=-0.181176826\) \(a_{54}=+1.437519613\) \(a_{55}=-0.440559547\)
\(a_{56}=+0.874476683\) \(a_{57}=-0.435123933\) \(a_{58}=-1.897645092\) \(a_{59}=+1.487356654\) \(a_{60}=-0.588980533\)
\(a_{61}=+1.849150896\) \(a_{62}=-1.051366853\) \(a_{63}=-0.612044881\) \(a_{64}=-1.601425930\) \(a_{65}=-0.976037970\)
\(a_{66}=+0.515767658\) \(a_{67}=-1.280097448\) \(a_{68}=+2.398436876\) \(a_{69}=-0.657934949\) \(a_{70}=+0.943675354\)
\(a_{71}=+0.441043269\) \(a_{72}=-0.790460484\) \(a_{73}=+0.527110904\) \(a_{74}=+2.620356455\) \(a_{75}=+0.255190432\)
\(a_{76}=+1.420596316\) \(a_{77}=-0.514830618\) \(a_{78}=+1.142657871\) \(a_{79}=+0.116722904\) \(a_{80}=+0.055135019\)
\(a_{81}=+0.297046103\) \(a_{82}=-2.066392740\) \(a_{83}=-1.122509110\) \(a_{84}=-0.688271861\) \(a_{85}=+1.021995740\)
\(a_{86}=+1.778153874\) \(a_{87}=+0.589757755\) \(a_{88}=-0.664905513\) \(a_{89}=+1.320101653\) \(a_{90}=-0.853010301\)
\(a_{91}=-1.140582576\) \(a_{92}=+2.148045269\) \(a_{93}=+0.326749132\) \(a_{94}=-1.664047553\) \(a_{95}=+0.605330279\)
\(a_{96}=+0.473361851\) \(a_{97}=+0.039234728\) \(a_{98}=-0.525892373\) \(a_{99}=+0.465366943\) \(a_{100}=-0.833147096\)

Showing 100 of 1830 available coefficients

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