Properties

Level $751$
Weight $0$
Character 751.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 751 \)
Weight: \( 0 \)
Character: 751.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.6131475762 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.981780029\) \(a_{3}=+1.798658548\) \(a_{4}=+2.927451245\) \(a_{5}=+0.774622265\)
\(a_{6}=-3.564544643\) \(a_{7}=-0.774027870\) \(a_{8}=-3.819786043\) \(a_{9}=+2.235172096\) \(a_{10}=-1.535131876\)
\(a_{11}=-0.232259293\) \(a_{12}=+5.265485369\) \(a_{13}=-0.013045255\) \(a_{14}=+1.533954473\) \(a_{15}=+1.393280977\)
\(a_{16}=+4.642524152\) \(a_{17}=-0.989703812\) \(a_{18}=-4.429618304\) \(a_{19}=-0.742226572\) \(a_{20}=+2.267671054\)
\(a_{21}=-1.392212219\) \(a_{22}=+0.460287950\) \(a_{23}=-1.423574744\) \(a_{24}=-6.870489876\) \(a_{25}=-0.399958786\)
\(a_{26}=+0.025852263\) \(a_{27}=+2.221652016\) \(a_{28}=-2.265931605\) \(a_{29}=-0.161081256\) \(a_{30}=-2.761177516\)
\(a_{31}=-0.064221707\) \(a_{32}=-5.380676074\) \(a_{33}=-0.417755892\) \(a_{34}=+1.961374806\) \(a_{35}=-0.599580531\)
\(a_{36}=+6.543358426\) \(a_{37}=+0.863409816\) \(a_{38}=+1.470929132\) \(a_{39}=-0.023463248\) \(a_{40}=-2.958893842\)
\(a_{41}=+0.406450012\) \(a_{42}=+2.759059628\) \(a_{43}=+1.242426282\) \(a_{44}=-0.679928454\) \(a_{45}=+1.731414503\)
\(a_{46}=+2.821211684\) \(a_{47}=-0.110442567\) \(a_{48}=+8.350315116\) \(a_{49}=-0.400879637\) \(a_{50}=+0.792631375\)
\(a_{51}=-1.780138926\) \(a_{52}=-0.038189576\) \(a_{53}=-0.483903976\) \(a_{54}=-4.402826575\) \(a_{55}=-0.179913558\)
\(a_{56}=+2.956624445\) \(a_{57}=-1.335011663\) \(a_{58}=+0.319226317\) \(a_{59}=-0.682953382\) \(a_{60}=+4.078765683\)
\(a_{61}=+1.166453892\) \(a_{62}=+0.127273094\) \(a_{63}=-1.730086713\) \(a_{64}=+6.020794095\) \(a_{65}=-0.010105364\)
\(a_{66}=+0.827900015\) \(a_{67}=+0.759789287\) \(a_{68}=-2.897309856\) \(a_{69}=-2.560524477\) \(a_{70}=+1.188236502\)
\(a_{71}=+1.584944568\) \(a_{72}=-8.537878119\) \(a_{73}=+0.467382994\) \(a_{74}=-1.711089582\) \(a_{75}=-0.719389733\)
\(a_{76}=-2.172833041\) \(a_{77}=+0.179775780\) \(a_{78}=+0.046500013\) \(a_{79}=+1.621025716\) \(a_{80}=+3.596206085\)
\(a_{81}=+1.760821503\) \(a_{82}=-0.805494398\) \(a_{83}=+1.333001875\) \(a_{84}=-4.075637541\) \(a_{85}=-0.766646941\)
\(a_{86}=-2.462215548\) \(a_{87}=-0.289729618\) \(a_{88}=+0.887181001\) \(a_{89}=-1.365209790\) \(a_{90}=-3.431283138\)
\(a_{91}=+0.010097494\) \(a_{92}=-4.167447023\) \(a_{93}=-0.115512921\) \(a_{94}=+0.218872919\) \(a_{95}=-0.574945684\)
\(a_{96}=-9.677998942\) \(a_{97}=+0.181531121\) \(a_{98}=+0.794454266\) \(a_{99}=-0.519140496\) \(a_{100}=-1.170861229\)

Showing 100 of 1932 available coefficients

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