History of Spectral parameter of Maass forms of level 1

+Title: Spectral parameter of Maass forms of level 1+Definition: A Maass form (of weight 0) of level 1 is a smooth, square-integrable,+  automorphic eigenform  of the Laplace-Beltrami operator $\Delta$ that is invariant+  under $SL(2,\mathbb{Z})$. The Laplace eigenvalue of a Maass form has the form  $\lambda+  = 1/4 + R^2$, where $R > 0$ is called the spectral parameter.+Parameters:+  R':+    display: $R'$+    title: spectral parameter (truncated)+    type: Z+Comments: {}+Formulas: {}+Programs: {}+References:+  BoStVe06:+    bib: A. Booker, A. Strömbergsson, A. Venkatesh,  "Effective Computation of Maass+      Cusp Forms". IMRN 2006, Article ID 71281, 34 pages. (HREF{http://www2.math.uu.se/~astrombe/emaass/emaass.html}[data+      files])+    url: http://www2.math.uu.se/~astrombe/papers/bsv27april06.pdf+  Str12:+    bib: Strömberg, Fredrik, "Maass waveforms on (Γ0(N),χ) (computational aspects)".+      Hyperbolic geometry and applications in quantum chaos and cosmology, 187–228,+      London Math. Soc. Lecture Note Ser., 397, Cambridge Univ. Press, 2012+    mr: '2895234'+Links:+  BoStVeData:+    title: 'A. Booker, A. Strömbergsson, A. Venkatesh: data files'+    url: http://www2.math.uu.se/~astrombe/emaass/emaass.html+  LMFDB:+    title: 'LMFDB: Maass forms of level 1'+    url: https://www.lmfdb.org/ModularForm/GL2/Q/Maass/?level=1+  WikiBSD:+    title: 'Wikipedia: Birch and Swinnerton-Dyer conjecture'+    url: https://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecture+Similar tables: ''+Keywords: ''+Tags:+- number theory+- modular form+- eigenvalue+Data properties:+  type: R+  complete: 'no'+  sources:+  - CITE{BoStVeData} (higher precision available, from Booker, Strömbergsson, Venkatesh+    CITE{BoStVe06})+  - CITE{LMFDB} (computed by Fredrik Stroemberg CITE{Str12} and Holger Then)+Display properties:+  number-header: $R$+Numbers:+  '9.533': '9.533695261353557554344235235928770323821256395107251982375790464135348991298347781769255509975435366'+  '12.17': '12.17300832467967784952795117639554812398247167309994790041359894085944536082660887402607610119914083'+  '13.77': '13.77975135189073894424367328151771259715513256879348706925238822161445033353997009415783160955742757'+  '14.35': '14.35850951825981277986694256903716549561438589919676624781520226663201120679288581901319549358192409'+  '16.13': '16.13807317152103058019829428598600394563144288541378695827382712175947030542755279355556642723837034'+  '16.64': '16.64425920189981994352627455936865570143168145997231928907651455001829017618970424409102246827670179'+  '17.73': '17.73856338105737789321732636154654617200548005325129188079624689810214157759980377279197640233860653'+  '18.18': '18.18091783453070386031830826819331393824992456541781787106792508774526862910670490089247820557750868'+  '19.42': '19.42348147082825519163378035720852444158552560076333197577947593786262611347059612969474807916047941'+  '19.48': '19.48471385474101336412852642787287621877406238534520661308580751557226039659320657991642152653178001'+  '20.10': '20.1066946826'+  '21.31': '21.3157959402'+  '21.47': '21.4790575447'+  '22.19': '22.1946739776'+  '22.78': '22.7859084942'+  '23.20': '23.2013961812'+  '23.26': '23.2637115379'+  '24.11': '24.1123527298'+  '24.41': '24.4197154423'+  '25.05': '25.0508548508'+  '25.82': '25.8262437127'+  '26.05': '26.0569177607'+  '26.15': '26.1520854492'+  '26.44': '26.446996418'+  '27.28': '27.2843840117'+  '27.33': '27.3327080831'+  '27.77': '27.7759207018'+  '28.51': '28.5102777031'+  '28.53': '28.5307476929'+  '28.86': '28.8633943539'+  '29.13': '29.1375875578'+  '29.54': '29.5463881241'+  '31.52': '31.5265821968'+  '31.56': '31.5662754118'+  '32.50': '32.5081177599'+  '32.89': '32.8911702135'+  '34.02': '34.0278842001'+  '34.45': '34.456271533'+  '35.50': '35.5023497714'+  '35.84': '35.8416764326'+  '36.67': '36.6775529931'+  '36.85': '36.8563494959'+  '37.82': '37.8250722906'+  '38.30': '38.3032761525'+  '39.16': '39.1680849679'+  '39.40': '39.4075318615'+  '39.77': '39.773622619'+  '40.54': '40.5433512105'+  '40.68': '40.6886664449'+  '41.55': '41.5555776736'+  '41.88': '41.8830032854'+  '42.64': '42.6434884147'+  '42.92': '42.9222277836'+  '43.26': '43.2671820388'+  '44.07': '44.0774047617'+  '44.42': '44.4263481186'+  '45.28': '45.2874384425'+  '45.36': '45.3616136021'+  '45.39': '45.3984695313'+  '46.10': '46.1014563216'+  '46.48': '46.4814024123'+  '46.65': '46.65331836'+  '47.42': '47.4228958985'+  '47.92': '47.9265583306'+  '48.03': '48.0393309051'+  '48.74': '48.7416663476'+  '48.99': '48.9983076541'+  '49.68': '49.6835200753'+  '49.96': '49.9616962905'