Properties

Level $26$
Weight $0$
Character 26.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 26 = 2 \cdot 13 \)
Weight: \( 0 \)
Character: 26.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 4.29451258705 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+1.451074879\) \(a_{4}=+0.500000000\) \(a_{5}=-0.913198679\)
\(a_{6}=+1.026064887\) \(a_{7}=+1.773097652\) \(a_{8}=+0.353553391\) \(a_{9}=+1.105618305\) \(a_{10}=-0.645728978\)
\(a_{11}=+0.514860709\) \(a_{12}=+0.725537440\) \(a_{13}=-0.277350098\) \(a_{14}=+1.253769374\) \(a_{15}=-1.325119662\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.159504521\) \(a_{18}=+0.781790201\) \(a_{19}=-1.924340454\) \(a_{20}=-0.456599339\)
\(a_{21}=+2.572897462\) \(a_{22}=+0.364061498\) \(a_{23}=-0.271568279\) \(a_{24}=+0.513032443\) \(a_{25}=-0.166068173\)
\(a_{26}=-0.196116135\) \(a_{27}=+0.153260069\) \(a_{28}=+0.886548826\) \(a_{29}=+0.040224634\) \(a_{30}=-0.937001099\)
\(a_{31}=-0.260178893\) \(a_{32}=+0.176776695\) \(a_{33}=+0.747101441\) \(a_{34}=+0.112786728\) \(a_{35}=-1.619190434\)
\(a_{36}=+0.552809152\) \(a_{37}=-1.465225822\) \(a_{38}=-1.360714184\) \(a_{39}=-0.402455760\) \(a_{40}=-0.322864489\)
\(a_{41}=+1.619465881\) \(a_{42}=+1.819313243\) \(a_{43}=-0.375624412\) \(a_{44}=+0.257430353\) \(a_{45}=-1.009649175\)
\(a_{46}=-0.192027771\) \(a_{47}=+1.307166976\) \(a_{48}=+0.362768721\) \(a_{49}=+2.143875283\) \(a_{50}=-0.117427937\)
\(a_{51}=+0.231453002\) \(a_{52}=-0.138675043\) \(a_{53}=-0.440052089\) \(a_{54}=+0.108371233\) \(a_{55}=-0.470170128\)
\(a_{56}=+0.626884680\) \(a_{57}=-2.792362093\) \(a_{58}=+0.028443124\) \(a_{59}=-0.714823489\) \(a_{60}=-0.662559829\)
\(a_{61}=-0.622238585\) \(a_{62}=-0.183974271\) \(a_{63}=+1.960369230\) \(a_{64}=+0.125000013\) \(a_{65}=+0.253275697\)
\(a_{66}=+0.528280490\) \(a_{67}=+0.989797543\) \(a_{68}=+0.079752277\) \(a_{69}=-0.394065907\) \(a_{70}=-1.144940524\)
\(a_{71}=-0.428975566\) \(a_{72}=+0.390895089\) \(a_{73}=+1.300434839\) \(a_{74}=-1.036071083\) \(a_{75}=-0.240977280\)
\(a_{76}=-0.962170189\) \(a_{77}=+0.912898326\) \(a_{78}=-0.284579233\) \(a_{79}=-1.321373469\) \(a_{80}=-0.228299646\)
\(a_{81}=-0.883226435\) \(a_{82}=+1.145135307\) \(a_{83}=+1.001619386\) \(a_{84}=+1.286448733\) \(a_{85}=-0.145659311\)
\(a_{86}=-0.265606547\) \(a_{87}=+0.058368957\) \(a_{88}=+0.182030795\) \(a_{89}=+0.395474239\) \(a_{90}=-0.713929780\)
\(a_{91}=-0.491768801\) \(a_{92}=-0.135784154\) \(a_{93}=-0.377539077\) \(a_{94}=+0.924306655\) \(a_{95}=+1.757305136\)
\(a_{96}=+0.256516288\) \(a_{97}=-0.378805473\) \(a_{98}=+1.515948769\) \(a_{99}=+0.569239392\) \(a_{100}=-0.083034064\)

Showing 100 of 1500 available coefficients

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