Properties

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

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Maass form invariants

Level: \( 701 \)
Weight: \( 0 \)
Character: 701.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.3887665209 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.827055987\) \(a_{3}=+0.246147680\) \(a_{4}=-0.315978224\) \(a_{5}=-0.994267422\)
\(a_{6}=-0.203577861\) \(a_{7}=+0.405430189\) \(a_{8}=+1.088387591\) \(a_{9}=-0.939411190\) \(a_{10}=+0.822314796\)
\(a_{11}=+0.692337928\) \(a_{12}=-0.077777221\) \(a_{13}=+1.564990503\) \(a_{14}=-0.335313642\) \(a_{15}=-0.244736625\)
\(a_{16}=-0.584179293\) \(a_{17}=-0.438416790\) \(a_{18}=+0.776945759\) \(a_{19}=+0.126068801\) \(a_{20}=+0.314166922\)
\(a_{21}=+0.099795562\) \(a_{22}=-0.572602280\) \(a_{23}=-0.992771352\) \(a_{24}=+0.267903869\) \(a_{25}=-0.011432273\)
\(a_{26}=-1.294334763\) \(a_{27}=-0.477381389\) \(a_{28}=-0.128107177\) \(a_{29}=+0.278872944\) \(a_{30}=+0.202410760\)
\(a_{31}=-1.010110527\) \(a_{32}=-0.605238649\) \(a_{33}=+0.170417271\) \(a_{34}=+0.362595102\) \(a_{35}=-0.403106009\)
\(a_{36}=+0.296833621\) \(a_{37}=-1.551233256\) \(a_{38}=-0.104265788\) \(a_{39}=+0.385218590\) \(a_{40}=-1.082148363\)
\(a_{41}=-0.373489210\) \(a_{42}=-0.082536702\) \(a_{43}=+0.641712491\) \(a_{44}=-0.218763753\) \(a_{45}=+0.934025925\)
\(a_{46}=+0.821077702\) \(a_{47}=-0.499292014\) \(a_{48}=-0.143794311\) \(a_{49}=-0.835626133\) \(a_{50}=+0.009455165\)
\(a_{51}=-0.107915255\) \(a_{52}=-0.494503229\) \(a_{53}=-1.767260332\) \(a_{54}=+0.394821163\) \(a_{55}=-0.688369063\)
\(a_{56}=+0.441265447\) \(a_{57}=+0.031031590\) \(a_{58}=-0.230643601\) \(a_{59}=+1.554578954\) \(a_{60}=+0.077331436\)
\(a_{61}=-0.010416108\) \(a_{62}=+0.835417992\) \(a_{63}=-0.380865869\) \(a_{64}=+1.084745654\) \(a_{65}=-1.556019148\)
\(a_{66}=-0.140944689\) \(a_{67}=+1.295266558\) \(a_{68}=+0.138530258\) \(a_{69}=-0.244368278\) \(a_{70}=+0.333391470\)
\(a_{71}=-0.485613640\) \(a_{72}=-1.022443900\) \(a_{73}=-0.419768115\) \(a_{74}=+1.282956733\) \(a_{75}=-0.002813980\)
\(a_{76}=-0.039835004\) \(a_{77}=+0.280694895\) \(a_{78}=-0.318597211\) \(a_{79}=-0.607353918\) \(a_{80}=+0.580830458\)
\(a_{81}=+0.821904915\) \(a_{82}=+0.308896532\) \(a_{83}=-1.162369605\) \(a_{84}=-0.031533265\) \(a_{85}=+0.435903571\)
\(a_{86}=-0.530732404\) \(a_{87}=+0.068643741\) \(a_{88}=+0.753532235\) \(a_{89}=-0.281863983\) \(a_{90}=-0.772491936\)
\(a_{91}=+0.634494603\) \(a_{92}=+0.313694063\) \(a_{93}=-0.248636245\) \(a_{94}=+0.412942402\) \(a_{95}=-0.125346124\)
\(a_{96}=-0.148978028\) \(a_{97}=-1.683204008\) \(a_{98}=+0.691109798\) \(a_{99}=-0.650390188\) \(a_{100}=+0.003612254\)

Showing 100 of 2080 available coefficients

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