Properties

Level $2$
Weight $0$
Character 2.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 17.3193334036 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+0.311002223\) \(a_{4}=+0.500000000\) \(a_{5}=-0.069263568\)
\(a_{6}=+0.219911781\) \(a_{7}=+1.358744869\) \(a_{8}=+0.353553391\) \(a_{9}=-0.903277617\) \(a_{10}=-0.048976738\)
\(a_{11}=+0.361410851\) \(a_{12}=+0.155501112\) \(a_{13}=+1.628720747\) \(a_{14}=+0.960777711\) \(a_{15}=-0.021541123\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.619693469\) \(a_{18}=-0.638713728\) \(a_{19}=-0.053250096\) \(a_{20}=-0.034631784\)
\(a_{21}=+0.422572675\) \(a_{22}=+0.255556064\) \(a_{23}=-0.209726680\) \(a_{24}=+0.109955890\) \(a_{25}=-0.995202558\)
\(a_{26}=+1.151679485\) \(a_{27}=-0.591923570\) \(a_{28}=+0.679372435\) \(a_{29}=-0.164919467\) \(a_{30}=-0.015231874\)
\(a_{31}=-0.878460938\) \(a_{32}=+0.176776695\) \(a_{33}=+0.112399578\) \(a_{34}=+1.145296235\) \(a_{35}=-0.094111517\)
\(a_{36}=-0.451638809\) \(a_{37}=-0.901986905\) \(a_{38}=-0.037653504\) \(a_{39}=+0.506535773\) \(a_{40}=-0.024488369\)
\(a_{41}=+0.886486067\) \(a_{42}=+0.298804004\) \(a_{43}=-1.345965202\) \(a_{44}=+0.180705426\) \(a_{45}=+0.062564230\)
\(a_{46}=-0.148299158\) \(a_{47}=-0.092018202\) \(a_{48}=+0.077750556\) \(a_{49}=+0.846187619\) \(a_{50}=-0.703714478\)
\(a_{51}=+0.503728270\) \(a_{52}=+0.814360373\) \(a_{53}=-1.422459136\) \(a_{54}=-0.418553170\) \(a_{55}=-0.025032605\)
\(a_{56}=+0.480388855\) \(a_{57}=-0.016560898\) \(a_{58}=-0.116615674\) \(a_{59}=+1.071841683\) \(a_{60}=-0.010770562\)
\(a_{61}=+0.281919684\) \(a_{62}=-0.621165686\) \(a_{63}=-1.227323828\) \(a_{64}=+0.125000000\) \(a_{65}=-0.112811009\)
\(a_{66}=+0.079478504\) \(a_{67}=+0.802606422\) \(a_{68}=+0.809846735\) \(a_{69}=-0.065225464\) \(a_{70}=-0.066546892\)
\(a_{71}=-0.755124986\) \(a_{72}=-0.319356864\) \(a_{73}=+0.686667195\) \(a_{74}=-0.637801057\) \(a_{75}=-0.309510208\)
\(a_{76}=-0.026625048\) \(a_{77}=+0.491065139\) \(a_{78}=+0.358174880\) \(a_{79}=-0.380298366\) \(a_{80}=-0.017315892\)
\(a_{81}=+0.719188071\) \(a_{82}=+0.626840309\) \(a_{83}=-0.972112510\) \(a_{84}=+0.211286337\) \(a_{85}=-0.112185748\)
\(a_{86}=-0.951741122\) \(a_{87}=-0.051290321\) \(a_{88}=+0.127778032\) \(a_{89}=-0.574445022\) \(a_{90}=+0.044239591\)
\(a_{91}=+2.213015958\) \(a_{92}=-0.104863340\) \(a_{93}=-0.273203305\) \(a_{94}=-0.065066695\) \(a_{95}=+0.003688292\)
\(a_{96}=+0.054977945\) \(a_{97}=-1.547568211\) \(a_{98}=+0.598345004\) \(a_{99}=-0.326454332\) \(a_{100}=-0.497601279\)

Showing 100 of 1228 available coefficients

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