Properties

Level $277$
Weight $0$
Character 277.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 277 \)
Weight: \( 0 \)
Character: 277.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.68502836945 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.441628409\) \(a_{3}=-0.955595320\) \(a_{4}=+1.078292467\) \(a_{5}=-1.454700814\)
\(a_{6}=+1.377613362\) \(a_{7}=-1.344567739\) \(a_{8}=-0.112868633\) \(a_{9}=-0.086837573\) \(a_{10}=+2.097138000\)
\(a_{11}=-1.532872850\) \(a_{12}=-1.030411237\) \(a_{13}=+0.484646758\) \(a_{14}=+1.938367052\) \(a_{15}=+1.390105293\)
\(a_{16}=-0.915577824\) \(a_{17}=-0.423851518\) \(a_{18}=+0.125187512\) \(a_{19}=-0.724381916\) \(a_{20}=-1.568592932\)
\(a_{21}=+1.284862656\) \(a_{22}=+2.209833049\) \(a_{23}=+1.047704365\) \(a_{24}=+0.107856746\) \(a_{25}=+1.116154428\)
\(a_{26}=-0.698680520\) \(a_{27}=+1.038576908\) \(a_{28}=-1.449837265\) \(a_{29}=+0.489449127\) \(a_{30}=-2.004015283\)
\(a_{31}=-1.499073707\) \(a_{32}=+1.432791647\) \(a_{33}=+1.464806132\) \(a_{34}=+0.611036389\) \(a_{35}=+1.955943775\)
\(a_{36}=-0.093636298\) \(a_{37}=+1.874640825\) \(a_{38}=+1.044289539\) \(a_{39}=-0.463126169\) \(a_{40}=+0.164190108\)
\(a_{41}=-0.650236883\) \(a_{42}=-1.852294500\) \(a_{43}=-0.370428116\) \(a_{44}=-1.652885241\) \(a_{45}=+0.126322694\)
\(a_{46}=-1.510400378\) \(a_{47}=-1.400980379\) \(a_{48}=+0.874921896\) \(a_{49}=+0.807862426\) \(a_{50}=-1.609079949\)
\(a_{51}=+0.405030521\) \(a_{52}=+0.522590948\) \(a_{53}=-0.795446169\) \(a_{54}=-1.497241969\) \(a_{55}=+2.229871388\)
\(a_{56}=+0.151759548\) \(a_{57}=+0.692215968\) \(a_{58}=-0.705603777\) \(a_{59}=+0.033004314\) \(a_{60}=+1.498940057\)
\(a_{61}=-0.878319737\) \(a_{62}=+2.161107248\) \(a_{63}=+0.116759000\) \(a_{64}=-1.149975298\) \(a_{65}=-0.705016016\)
\(a_{66}=-2.111706131\) \(a_{67}=-1.883506922\) \(a_{68}=-0.457035894\) \(a_{69}=-1.001181399\) \(a_{70}=-2.819744129\)
\(a_{71}=+0.978072543\) \(a_{72}=+0.009801236\) \(a_{73}=-0.225251946\) \(a_{74}=-2.702535472\) \(a_{75}=-1.066591940\)
\(a_{76}=-0.781095568\) \(a_{77}=+2.061051402\) \(a_{78}=+0.667655832\) \(a_{79}=-0.461089218\) \(a_{80}=+1.331891767\)
\(a_{81}=-0.905621652\) \(a_{82}=+0.937399980\) \(a_{83}=+0.464110803\) \(a_{84}=+1.385457730\) \(a_{85}=+0.616577133\)
\(a_{86}=+0.534019668\) \(a_{87}=-0.467715285\) \(a_{88}=+0.173013256\) \(a_{89}=-1.421629330\) \(a_{90}=-0.182110367\)
\(a_{91}=-0.651640395\) \(a_{92}=+1.129731715\) \(a_{93}=+1.432507844\) \(a_{94}=+2.019693127\) \(a_{95}=+1.053758957\)
\(a_{96}=-1.369168992\) \(a_{97}=-0.688614493\) \(a_{98}=-1.164637387\) \(a_{99}=+0.133110937\) \(a_{100}=+1.203540931\)

Showing 100 of 852 available coefficients

Rows: Cols: