Properties

Level $17$
Weight $0$
Character 17.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 1.44142854502 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.713652337\) \(a_{3}=-1.188099772\) \(a_{4}=-0.490700342\) \(a_{5}=+1.529185065\)
\(a_{6}=-0.847890178\) \(a_{7}=+0.360853694\) \(a_{8}=-1.063841783\) \(a_{9}=+0.411581067\) \(a_{10}=+1.091306495\)
\(a_{11}=+0.049716781\) \(a_{12}=+0.583000965\) \(a_{13}=+0.043689167\) \(a_{14}=+0.257524082\) \(a_{15}=-1.816824426\)
\(a_{16}=-0.268512831\) \(a_{17}=+0.242535625\) \(a_{18}=+0.293725790\) \(a_{19}=-0.675551670\) \(a_{20}=-0.750371635\)
\(a_{21}=-0.428730191\) \(a_{22}=+0.035480497\) \(a_{23}=+0.908318327\) \(a_{24}=+1.263950179\) \(a_{25}=+1.338406962\)
\(a_{26}=+0.031178876\) \(a_{27}=+0.699100400\) \(a_{28}=-0.177071031\) \(a_{29}=-1.264676167\) \(a_{30}=-1.296580997\)
\(a_{31}=-0.338681721\) \(a_{32}=+0.872216973\) \(a_{33}=-0.059068496\) \(a_{34}=+0.173086116\) \(a_{35}=+0.551812079\)
\(a_{36}=-0.201962971\) \(a_{37}=-0.308966726\) \(a_{38}=-0.482109028\) \(a_{39}=-0.051907089\) \(a_{40}=-1.626810965\)
\(a_{41}=+0.808439466\) \(a_{42}=-0.305964303\) \(a_{43}=-0.486459687\) \(a_{44}=-0.024396041\) \(a_{45}=+0.629383621\)
\(a_{46}=+0.648223496\) \(a_{47}=+1.271332709\) \(a_{48}=+0.319020034\) \(a_{49}=-0.869784612\) \(a_{50}=+0.955157256\)
\(a_{51}=-0.288156521\) \(a_{52}=-0.021438289\) \(a_{53}=+0.034813477\) \(a_{54}=+0.498914634\) \(a_{55}=+0.076026158\)
\(a_{56}=-0.383891237\) \(a_{57}=+0.802622784\) \(a_{58}=-0.902539101\) \(a_{59}=-1.931473238\) \(a_{60}=+0.891516368\)
\(a_{61}=+0.088995130\) \(a_{62}=-0.241701001\) \(a_{63}=+0.148520548\) \(a_{64}=+0.890972512\) \(a_{65}=+0.066808821\)
\(a_{66}=-0.042154370\) \(a_{67}=-0.643718656\) \(a_{68}=-0.119012314\) \(a_{69}=-1.079172796\) \(a_{70}=+0.393801980\)
\(a_{71}=-0.415087950\) \(a_{72}=-0.437857136\) \(a_{73}=+1.847424971\) \(a_{74}=-0.220494826\) \(a_{75}=-1.590161006\)
\(a_{76}=+0.331493436\) \(a_{77}=+0.017940484\) \(a_{78}=-0.037043615\) \(a_{79}=+0.656443118\) \(a_{80}=-0.410605811\)
\(a_{81}=-1.242182092\) \(a_{82}=+0.576944714\) \(a_{83}=+0.829706513\) \(a_{84}=+0.210378052\) \(a_{85}=+0.370881855\)
\(a_{86}=-0.347163092\) \(a_{87}=+1.502561465\) \(a_{88}=-0.052890788\) \(a_{89}=+1.711921096\) \(a_{90}=+0.449161092\)
\(a_{91}=+0.015765397\) \(a_{92}=-0.445712114\) \(a_{93}=+0.402387675\) \(a_{94}=+0.907289558\) \(a_{95}=-1.033043524\)
\(a_{96}=-1.036280786\) \(a_{97}=-1.037000336\) \(a_{98}=-0.620723820\) \(a_{99}=+0.020462486\) \(a_{100}=-0.656756755\)

Showing 100 of 546 available coefficients

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