Maass form 3.75 on \(\Gamma_0(3)\) with \(R=23.4601771\)

• Label: 3.75
• Level: $3$
• Weight: $0$
• Character: 3.1
• Symmetry: odd
• \(R\): 23.46017
• Fricke sign: not computed rigorously

Maass form invariants

Level:	\( 3 \)
Weight:	\( 0 \)
Character:	3.1
Symmetry:	odd
Fricke sign:	not computed rigorously
Spectral parameter:	\(23.4601771306750716605188334342 \pm 9 \cdot 10^{-3}\)

Maass form coefficients

The coefficients here are shown to at most $8$ digits of precision. Full precision coefficients are available in the downloads.

\(a_{1}= +1 \)	\(a_{2}= +1.21377791 \pm 4.6 \)	\(a_{3}= \pm0.57735027 \pm 1.0 \cdot 10^{-8} \)
\(a_{4}= +0.47325680 \pm 8.4 \)	\(a_{5}= -0.29118148 \pm 6.4 \)	\(a_{6}= \pm0.70077500 \pm 2.7 \)
\(a_{7}= +1.31533795 \pm 5.3 \)	\(a_{8}= -0.63934925 \pm 5.7 \)	\(a_{9}= \pm0.33333333 \pm 1.0 \cdot 10^{-8} \)
\(a_{10}= -0.35342964 \pm 3.7 \)	\(a_{11}= -0.44931020 \pm 5.8 \)	\(a_{12}= \pm0.27323494 \pm 4.8 \)
\(a_{13}= +0.88401245 \pm 5.7 \)	\(a_{14}= +1.59652815 \pm 3.6 \)	\(a_{15}= \pm0.16811370 \pm 3.7 \)
\(a_{16}= -1.24928480 \pm 6.8 \)	\(a_{17}= -0.24707229 \pm 4.3 \)	\(a_{18}= \pm0.40459264 \pm 1.5 \)
\(a_{19}= -1.50453042 \pm 3.4 \)	\(a_{20}= -0.13780361 \pm 6.0 \)	\(a_{21}= \pm0.75941072 \pm 3.0 \)
\(a_{22}= -0.54536279 \pm 2.9 \)	\(a_{23}= -1.36822797 \pm 12. \)	\(a_{24}= \pm0.36912846 \pm 3.3 \)
\(a_{25}= -0.91521335 \pm 5.3 \)	\(a_{26}= +1.07299478 \pm 2.0 \)	\(a_{27}= \pm0.19245009 \pm 1.0 \cdot 10^{-8} \)
\(a_{28}= +0.62249264 \pm 3.5 \)	\(a_{29}= +1.15161638 \pm 12. \)	\(a_{30}= \pm0.20405270 \pm 2.1 \)
\(a_{31}= -0.50497402 \pm 5.4 \)	\(a_{32}= -0.87700504 \pm 7.6 \)	\(a_{33}= \pm0.25940936 \pm 3.3 \)
\(a_{34}= -0.29989088 \pm 5.2 \)	\(a_{35}= -0.38300205 \pm 2.3 \)	\(a_{36}= \pm0.15775227 \pm 2.8 \)
\(a_{37}= -1.73350298 \pm 6.5 \)	\(a_{38}= -1.82616578 \pm 1.5 \)	\(a_{39}= \pm0.51038483 \pm 3.3 \)
\(a_{40}= +0.18616666 \pm 3.5 \)	\(a_{41}= +0.77893192 \pm 12. \)	\(a_{42}= \pm0.92175596 \pm 2.0 \)
\(a_{43}= -0.97729304 \pm 8.2 \)	\(a_{44}= -0.21263911 \pm 5.1 \)	\(a_{45}= \pm0.09706049 \pm 2.1 \)
\(a_{46}= -1.66072488 \pm 3.7 \)	\(a_{47}= +0.27056581 \pm 10. \)	\(a_{48}= \pm0.72127492 \pm 3.9 \)
\(a_{49}= +0.73011393 \pm 8.9 \)	\(a_{50}= -1.11086574 \pm 2.6 \)	\(a_{51}= \pm0.14264725 \pm 2.4 \)
\(a_{52}= +0.41836491 \pm 5.2 \)	\(a_{53}= -0.83435900 \pm 5.1 \)	\(a_{54}= \pm0.23359167 \pm 9.0 \cdot 10^{-1} \)
\(a_{55}= +0.13083081 \pm 4.1 \)	\(a_{56}= -0.84096034 \pm 5.0 \)	\(a_{57}= \pm0.86864104 \pm 2.0 \)
\(a_{58}= +1.39780651 \pm 5.0 \)	\(a_{59}= -1.59086028 \pm 8.2 \)	\(a_{60}= \pm0.07956095 \pm 3.4 \)
\(a_{61}= +0.60029877 \pm 6.7 \)	\(a_{62}= -0.61292630 \pm 2.5 \)	\(a_{63}= \pm0.43844598 \pm 1.7 \)
\(a_{64}= +0.18479546 \pm 6.3 \)	\(a_{65}= -0.25740805 \pm 4.0 \)	\(a_{66}= \pm0.31486535 \pm 1.7 \)
\(a_{67}= -1.46178946 \pm 14. \)	\(a_{68}= -0.11692864 \pm 4.8 \)	\(a_{69}= \pm0.78994679 \pm 7.4 \)
\(a_{70}= -0.46487942 \pm 1.8 \)	\(a_{71}= +1.58614089 \pm 9.6 \)	\(a_{72}= \pm0.21311642 \pm 1.9 \)
\(a_{73}= +1.46931098 \pm 4.1 \)	\(a_{74}= -2.10408762 \pm 6.6 \)	\(a_{75}= \pm0.52839867 \pm 3.0 \)
\(a_{76}= -0.71202926 \pm 3.1 \)	\(a_{77}= -0.59099476 \pm 3.5 \)	\(a_{78}= \pm0.61949383 \pm 1.1 \)
\(a_{79}= +0.53140188 \pm 7.2 \)	\(a_{80}= +0.36376859 \pm 5.0 \)	\(a_{81}= \pm0.11111111 \pm 1.0 \cdot 10^{-8} \)
\(a_{82}= +0.94545036 \pm 4.0 \)	\(a_{83}= +1.00137650 \pm 10. \)	\(a_{84}= \pm0.35939629 \pm 2.0 \)
\(a_{85}= +0.07194287 \pm 3.4 \)	\(a_{86}= -1.18621670 \pm 6.1 \)	\(a_{87}= \pm0.66488602 \pm 7.0 \)
\(a_{88}= +0.28726614 \pm 3.7 \)	\(a_{89}= -0.58488664 \pm 4.2 \)	\(a_{90}= \pm0.11780988 \pm 1.2 \)
\(a_{91}= +1.16277513 \pm 2.1 \)	\(a_{92}= -0.64752320 \pm 11. \)	\(a_{93}= \pm0.29154688 \pm 3.1 \)
\(a_{94}= +0.32840680 \pm 4.1 \)	\(a_{95}= +0.43809139 \pm 2.7 \)	\(a_{96}= \pm0.50633909 \pm 4.4 \)
\(a_{97}= -1.48119554 \pm 9.8 \)	\(a_{98}= +0.88619616 \pm 4.2 \)	\(a_{99}= \pm0.14977007 \pm 1.9 \)
\(a_{100}= -0.43313094 \pm 4.3 \)	\(a_{101}= +0.38616807 \pm 5.4 \)	\(a_{102}= \pm0.17314208 \pm 3.0 \)
\(a_{103}= -0.33453403 \pm 6.9 \)	\(a_{104}= -0.56519270 \pm 3.2 \)	\(a_{105}= \pm0.22112633 \pm 1.3 \)
\(a_{106}= -1.01272652 \pm 3.2 \)	\(a_{107}= +1.13600216 \pm 4.7 \)	\(a_{108}= \pm0.09107831 \pm 1.6 \)
\(a_{109}= +0.03616002 \pm 9.4 \)	\(a_{110}= +0.15879954 \pm 2.5 \)	\(a_{111}= \pm1.00083841 \pm 3.7 \)
\(a_{112}= -1.64323171 \pm 1.9 \)	\(a_{113}= +0.13164314 \pm 5.3 \)	\(a_{114}= \pm1.05433731 \pm 9.1 \cdot 10^{-1} \)
\(a_{115}= +0.39840264 \pm 9.0 \)	\(a_{116}= +0.54501029 \pm 11. \)	\(a_{117}= \pm0.29467082 \pm 1.9 \)
\(a_{118}= -1.93095106 \pm 5.4 \)	\(a_{119}= -0.32498356 \pm 2.3 \)	\(a_{120}= \pm0.10748337 \pm 2.0 \)
\(a_{121}= -0.79812035 \pm 5.7 \)	\(a_{122}= +0.72862938 \pm 2.8 \)	\(a_{123}= \pm0.44971656 \pm 7.1 \)
\(a_{124}= -0.23898239 \pm 4.8 \)	\(a_{125}= +0.55767465 \pm 9.4 \)	\(a_{126}= \pm0.53217605 \pm 1.2 \)
\(a_{127}= +0.47393703 \pm 10. \)	\(a_{128}= +1.10130569 \pm 7.9 \)	\(a_{129}= \pm0.56424040 \pm 4.7 \)
\(a_{130}= -0.31243620 \pm 1.5 \)	\(a_{131}= +0.23678000 \pm 6.1 \)	\(a_{132}= \pm0.12276725 \pm 2.9 \)
\(a_{133}= -1.97896597 \pm 9.8 \cdot 10^{-1} \)	\(a_{134}= -1.77428775 \pm 4.8 \)	\(a_{135}= \pm0.05603790 \pm 1.2 \)
\(a_{136}= +0.15796548 \pm 2.2 \)	\(a_{137}= +0.96552754 \pm 10. \)	\(a_{138}= \pm0.95881996 \pm 2.1 \)
\(a_{139}= -0.87635970 \pm 7.1 \)	\(a_{140}= -0.18125832 \pm 1.9 \)	\(a_{141}= \pm0.15621124 \pm 5.9 \)
\(a_{142}= +1.92522277 \pm 4.3 \)	\(a_{143}= -0.39719581 \pm 3.6 \)	\(a_{144}= \pm0.41642827 \pm 2.2 \)
\(a_{145}= -0.33532936 \pm 8.3 \)	\(a_{146}= +1.78341720 \pm 3.3 \)	\(a_{147}= \pm0.42153148 \pm 5.1 \)
\(a_{148}= -0.82039208 \pm 6.9 \)	\(a_{149}= -1.24145984 \pm 7.9 \)	\(a_{150}= \pm0.64135863 \pm 1.5 \)
\(a_{151}= -0.20549025 \pm 12. \)	\(a_{152}= +0.96192040 \pm 1.9 \)	\(a_{153}= \pm0.08235743 \pm 1.4 \)
\(a_{154}= -0.71733638 \pm 2.4 \)	\(a_{155}= +0.14703908 \pm 3.6 \)	\(a_{156}= \pm0.24154309 \pm 3.0 \)
\(a_{157}= -0.62827832 \pm 12. \)	\(a_{158}= +0.64500386 \pm 3.6 \)	\(a_{159}= \pm0.48171739 \pm 2.9 \)
\(a_{160}= +0.25536762 \pm 5.3 \)	\(a_{161}= -1.79968218 \pm 3.2 \)	\(a_{162}= \pm0.13486421 \pm 5.2 \cdot 10^{-1} \)
\(a_{163}= +0.86921108 \pm 1.6 \)	\(a_{164}= +0.36863483 \pm 11. \)	\(a_{165}= \pm0.07553520 \pm 2.3 \)
\(a_{166}= +1.21544868 \pm 3.9 \)	\(a_{167}= -0.33520205 \pm 5.9 \)	\(a_{168}= \pm0.48552868 \pm 2.9 \)
\(a_{169}= -0.21852198 \pm 6.1 \)	\(a_{170}= +0.08732267 \pm 4.5 \)	\(a_{171}= \pm0.50151014 \pm 1.1 \)
\(a_{172}= -0.46251058 \pm 7.0 \)	\(a_{173}= +0.33473979 \pm 5.3 \)	\(a_{174}= \pm0.80702397 \pm 2.9 \)
\(a_{175}= -1.20381485 \pm 4.3 \)	\(a_{176}= +0.56131640 \pm 4.3 \)	\(a_{177}= \pm0.91848361 \pm 4.7 \)
\(a_{178}= -0.70992248 \pm 3.2 \)	\(a_{179}= -0.94685938 \pm 8.0 \)	\(a_{180}= \pm0.04593454 \pm 2.0 \)
\(a_{181}= +0.25544400 \pm 9.7 \)	\(a_{182}= +1.41135076 \pm 1.2 \)	\(a_{183}= \pm0.34658266 \pm 3.9 \)
\(a_{184}= +0.87477553 \pm 6.8 \)	\(a_{185}= +0.50476396 \pm 5.0 \)	\(a_{186}= \pm0.35387317 \pm 1.4 \)
\(a_{187}= +0.11101210 \pm 2.4 \)	\(a_{188}= +0.12804711 \pm 9.1 \)	\(a_{189}= \pm0.25313691 \pm 1.0 \)
\(a_{190}= +0.53174565 \pm 1.6 \)	\(a_{191}= -1.15419216 \pm 6.7 \)	\(a_{192}= \pm0.10669171 \pm 3.6 \)
\(a_{193}= -0.45615132 \pm 11. \)	\(a_{194}= -1.79784243 \pm 3.7 \)	\(a_{195}= \pm0.14861461 \pm 2.3 \)
\(a_{196}= +0.34553139 \pm 7.9 \)	\(a_{197}= -0.05354057 \pm 16. \)	\(a_{198}= \pm0.18178760 \pm 9.9 \cdot 10^{-1} \)
\(a_{199}= -0.49192463 \pm 6.3 \)	\(a_{200}= +0.58514097 \pm 3.8 \)	\(a_{201}= \pm0.84396454 \pm 8.4 \)
\(a_{202}= +0.46872227 \pm 3.9 \)	\(a_{203}= +1.51476473 \pm 5.3 \)	\(a_{204}= \pm0.06750878 \pm 2.8 \)
\(a_{205}= -0.22681055 \pm 8.4 \)	\(a_{206}= -0.40605001 \pm 5.3 \)	\(a_{207}= \pm0.45607599 \pm 4.3 \)
\(a_{208}= -1.10438332 \pm 4.3 \)	\(a_{209}= +0.67600086 \pm 2.3 \)	\(a_{210}= \pm0.26839826 \pm 1.0 \)
\(a_{211}= +0.01866168 \pm 3.7 \)	\(a_{212}= -0.39486607 \pm 4.7 \)	\(a_{213}= \pm0.91575887 \pm 5.5 \)
\(a_{214}= +1.37885432 \pm 3.1 \)	\(a_{215}= +0.28456963 \pm 5.3 \)	\(a_{216}= \pm0.12304282 \pm 1.1 \)
\(a_{217}= -0.66421149 \pm 3.4 \)	\(a_{218}= +0.04389023 \pm 4.0 \)	\(a_{219}= \pm0.84830709 \pm 2.3 \)
\(a_{220}= +0.06191657 \pm 3.6 \)	\(a_{221}= -0.21841498 \pm 1.8 \)	\(a_{222}= \pm1.21479556 \pm 3.8 \)
\(a_{223}= -0.15108181 \pm 3.3 \)	\(a_{224}= -1.15355801 \pm 4.9 \)	\(a_{225}= \pm0.30507112 \pm 1.7 \)
\(a_{226}= +0.15978553 \pm 4.4 \)	\(a_{227}= -0.56254310 \pm 12. \)	\(a_{228}= \pm0.41109028 \pm 1.8 \)
\(a_{229}= +0.91549761 \pm 5.5 \)	\(a_{230}= +0.48357232 \pm 2.8 \)	\(a_{231}= \pm0.34121098 \pm 2.0 \)
\(a_{232}= -0.73628507 \pm 6.9 \)	\(a_{233}= +1.88990193 \pm 9.0 \)	\(a_{234}= \pm0.35766493 \pm 6.7 \cdot 10^{-1} \)
\(a_{235}= -0.07878375 \pm 7.2 \)	\(a_{236}= -0.75288545 \pm 6.2 \)	\(a_{237}= \pm0.30680502 \pm 4.1 \)
\(a_{238}= -0.39445786 \pm 2.7 \)	\(a_{239}= -0.34998650 \pm 7.8 \)	\(a_{240}= \pm0.21002189 \pm 2.9 \)
\(a_{241}= +0.46617962 \pm 7.7 \)	\(a_{242}= -0.96874084 \pm 2.9 \)	\(a_{243}= \pm0.06415003 \pm 1.0 \cdot 10^{-8} \)
\(a_{244}= +0.28409548 \pm 6.0 \)	\(a_{245}= -0.21259565 \pm 6.0 \)	\(a_{246}= \pm0.54585602 \pm 2.3 \)
\(a_{247}= -1.33002363 \pm 2.6 \)	\(a_{248}= +0.32285476 \pm 3.4 \)	\(a_{249}= \pm0.57814499 \pm 5.9 \)
\(a_{250}= +0.67689317 \pm 4.4 \)	\(a_{251}= +1.84898260 \pm 11. \)	\(a_{252}= \pm0.20749755 \pm 1.1 \)
\(a_{253}= +0.61475878 \pm 7.9 \)	\(a_{254}= +0.57525429 \pm 5.1 \)	\(a_{255}= \pm0.04153624 \pm 2.0 \)
\(a_{256}= +1.15194505 \pm 4.6 \)	\(a_{257}= -0.70400751 \pm 10. \)	\(a_{258}= \pm0.68486253 \pm 3.5 \)
\(a_{259}= -2.28014227 \pm 3.4 \)	\(a_{260}= -0.12182011 \pm 3.7 \)	\(a_{261}= \pm0.38387213 \pm 4.0 \)
\(a_{262}= +0.28739833 \pm 3.4 \)	\(a_{263}= +0.35775594 \pm 7.3 \)	\(a_{264}= \pm0.16585318 \pm 2.1 \)
\(a_{265}= +0.24294988 \pm 3.6 \)	\(a_{266}= -2.40202517 \pm 5.4 \cdot 10^{-1} \)	\(a_{267}= \pm0.33768446 \pm 2.4 \)
\(a_{268}= -0.69180181 \pm 13. \)	\(a_{269}= +0.27254122 \pm 6.3 \)	\(a_{270}= \pm0.06801757 \pm 7.1 \cdot 10^{-1} \)
\(a_{271}= +0.02902749 \pm 8.6 \)	\(a_{272}= +0.30866365 \pm 2.9 \)	\(a_{273}= \pm0.67132853 \pm 1.2 \)
\(a_{274}= +1.17193599 \pm 5.6 \)	\(a_{275}= +0.41121469 \pm 3.4 \)	\(a_{276}= \pm0.37384769 \pm 6.8 \)
\(a_{277}= +1.18522472 \pm 4.6 \)	\(a_{278}= -1.06370604 \pm 6.6 \)	\(a_{279}= \pm0.16832467 \pm 1.8 \)
\(a_{280}= +0.24487207 \pm 1.8 \)	\(a_{281}= +0.63843346 \pm 9.9 \)	\(a_{282}= \pm0.18960576 \pm 2.3 \)
\(a_{283}= -1.15983252 \pm 13. \)	\(a_{284}= +0.75065197 \pm 8.4 \)	\(a_{285}= \pm0.25293218 \pm 1.5 \)
\(a_{286}= -0.48210750 \pm 1.3 \)	\(a_{287}= +1.02455872 \pm 5.5 \)	\(a_{288}= \pm0.29233501 \pm 2.5 \)
\(a_{289}= -0.93895528 \pm 8.9 \)	\(a_{290}= -0.40701536 \pm 3.7 \)	\(a_{291}= \pm0.85516865 \pm 5.6 \)
\(a_{292}= +0.69536142 \pm 4.2 \)	\(a_{293}= -0.23641586 \pm 14. \)	\(a_{294}= \pm0.51164559 \pm 2.4 \)
\(a_{295}= +0.46322904 \pm 4.5 \)	\(a_{296}= +1.10831384 \pm 3.5 \)	\(a_{297}= \pm0.08646979 \pm 1.1 \)
\(a_{298}= -1.50685652 \pm 4.1 \)	\(a_{299}= -1.20953057 \pm 8.3 \)	\(a_{300}= \pm0.25006827 \pm 2.5 \)
\(a_{301}= -1.28547062 \pm 7.7 \)	\(a_{302}= -0.24941952 \pm 3.8 \)	\(a_{303}= \pm0.22295424 \pm 3.1 \)
\(a_{304}= +1.87958699 \pm 2.7 \)	\(a_{305}= -0.17479588 \pm 5.1 \)	\(a_{306}= \pm0.09996363 \pm 1.7 \)
\(a_{307}= +0.79029651 \pm 4.2 \)	\(a_{308}= -0.27969229 \pm 2.2 \)	\(a_{309}= \pm0.19314331 \pm 4.0 \)
\(a_{310}= +0.17847279 \pm 1.8 \)	\(a_{311}= +0.93401490 \pm 13. \)	\(a_{312}= \pm0.32631416 \pm 1.8 \)
\(a_{313}= +1.77267860 \pm 5.8 \)	\(a_{314}= -0.76259035 \pm 4.0 \)	\(a_{315}= \pm0.12766735 \pm 7.8 \cdot 10^{-1} \)
\(a_{316}= +0.25148956 \pm 6.2 \)	\(a_{317}= -1.29575826 \pm 5.8 \)	\(a_{318}= \pm0.58469793 \pm 1.8 \)
\(a_{319}= -0.51743298 \pm 7.5 \)	\(a_{320}= -0.05380902 \pm 4.4 \)	\(a_{321}= \pm0.65587115 \pm 2.7 \)
\(a_{322}= -2.18441447 \pm 1.1 \)	\(a_{323}= +0.37172777 \pm 1.2 \)	\(a_{324}= \pm0.05258409 \pm 9.4 \cdot 10^{-1} \)
\(a_{325}= -0.80906000 \pm 3.0 \)	\(a_{326}= +1.05502921 \pm 2.0 \)	\(a_{327}= \pm0.02087700 \pm 5.4 \)
\(a_{328}= -0.49800954 \pm 7.1 \)	\(a_{329}= +0.35588548 \pm 5.1 \)	\(a_{330}= \pm0.09168296 \pm 1.4 \)
\(a_{331}= +0.77202230 \pm 5.5 \)	\(a_{332}= +0.47390824 \pm 8.8 \)	\(a_{333}= \pm0.57783433 \pm 2.1 \)
\(a_{334}= -0.40686085 \pm 4.7 \)	\(a_{335}= +0.42564601 \pm 10. \)	\(a_{336}= \pm0.94872027 \pm 1.1 \)
\(a_{337}= +1.54550470 \pm 10. \)	\(a_{338}= -0.26523716 \pm 3.9 \)	\(a_{339}= \pm0.07600420 \pm 3.1 \)
\(a_{340}= +0.03404745 \pm 4.0 \)	\(a_{341}= +0.22688997 \pm 3.4 \)	\(a_{342}= \pm0.60872193 \pm 5.3 \cdot 10^{-1} \)
\(a_{343}= -0.35499139 \pm 4.4 \)	\(a_{344}= +0.62483157 \pm 6.2 \)	\(a_{345}= \pm0.23001787 \pm 5.2 \)
\(a_{346}= +0.40629976 \pm 3.5 \)	\(a_{347}= -1.18969902 \pm 3.3 \)	\(a_{348}= \pm0.31466184 \pm 6.4 \)
\(a_{349}= -0.01424046 \pm 14. \)	\(a_{350}= -1.46116387 \pm 2.8 \)	\(a_{351}= \pm0.17012828 \pm 1.1 \)
\(a_{352}= +0.39404731 \pm 4.7 \)	\(a_{353}= +0.46839377 \pm 12. \)	\(a_{354}= \pm1.11483512 \pm 3.1 \)
\(a_{355}= -0.46185485 \pm 6.4 \)	\(a_{356}= -0.27680158 \pm 3.1 \)	\(a_{357}= \pm0.18762934 \pm 1.3 \)
\(a_{358}= -1.14927699 \pm 4.8 \)	\(a_{359}= -0.29168595 \pm 6.7 \)	\(a_{360}= \pm0.06205555 \pm 1.1 \)
\(a_{361}= +1.26361179 \pm 8.1 \)	\(a_{362}= +0.31005228 \pm 6.1 \)	\(a_{363}= \pm0.46079500 \pm 3.3 \)
\(a_{364}= +0.55029124 \pm 1.6 \)	\(a_{365}= -0.42783614 \pm 3.1 \)	\(a_{366}= \pm0.42067437 \pm 1.6 \)
\(a_{367}= -1.74249795 \pm 6.2 \)	\(a_{368}= +1.70930641 \pm 10. \)	\(a_{369}= \pm0.25964397 \pm 4.1 \)
\(a_{370}= +0.61267134 \pm 5.7 \)	\(a_{371}= -1.09746406 \pm 3.0 \)	\(a_{372}= \pm0.13797655 \pm 2.7 \)
\(a_{373}= +0.07854157 \pm 5.5 \)	\(a_{374}= +0.13474403 \pm 2.8 \)	\(a_{375}= \pm0.32197361 \pm 5.4 \)
\(a_{376}= -0.17298605 \pm 6.1 \)	\(a_{377}= +1.01804322 \pm 7.6 \)	\(a_{378}= \pm0.30725199 \pm 6.9 \cdot 10^{-1} \)
\(a_{379}= +1.65488281 \pm 2.2 \)	\(a_{380}= +0.20732973 \pm 2.3 \)	\(a_{381}= \pm0.27362767 \pm 6.1 \)
\(a_{382}= -1.40093295 \pm 6.5 \)	\(a_{383}= -0.10639950 \pm 7.0 \)	\(a_{384}= \pm0.63583914 \pm 4.6 \)
\(a_{385}= +0.17208673 \pm 1.5 \)	\(a_{386}= -0.55366640 \pm 4.8 \)	\(a_{387}= \pm0.32576435 \pm 2.7 \)
\(a_{388}= -0.70098587 \pm 8.5 \)	\(a_{389}= +0.42002706 \pm 3.1 \)	\(a_{390}= \pm0.18038513 \pm 8.8 \cdot 10^{-1} \)
\(a_{391}= +0.33805121 \pm 3.7 \)	\(a_{392}= -0.46679780 \pm 5.7 \)	\(a_{393}= \pm0.13670500 \pm 3.5 \)
\(a_{394}= -0.06498636 \pm 4.7 \)	\(a_{395}= -0.15473438 \pm 4.9 \)	\(a_{396}= \pm0.07087970 \pm 1.7 \)
\(a_{397}= -0.78661238 \pm 11. \)	\(a_{398}= -0.59708725 \pm 4.2 \)	\(a_{399}= \pm1.14255653 \pm 5.6 \cdot 10^{-1} \)
\(a_{400}= +1.14336213 \pm 3.6 \)	\(a_{401}= +1.17203784 \pm 12. \)	\(a_{402}= \pm1.02438551 \pm 2.8 \)
\(a_{403}= -0.44640332 \pm 3.2 \)	\(a_{404}= +0.18275667 \pm 4.3 \)	\(a_{405}= \pm0.03235350 \pm 7.1 \cdot 10^{-1} \)
\(a_{406}= +1.83858796 \pm 3.4 \)	\(a_{407}= +0.77888057 \pm 3.9 \)	\(a_{408}= \pm0.09120141 \pm 1.2 \)
\(a_{409}= -1.53784550 \pm 13. \)	\(a_{410}= -0.27529763 \pm 2.5 \)	\(a_{411}= \pm0.55744758 \pm 6.1 \)
\(a_{412}= -0.15832051 \pm 6.6 \)	\(a_{413}= -2.09251891 \pm 9.2 \)	\(a_{414}= \pm0.55357496 \pm 1.2 \)
\(a_{415}= -0.29158229 \pm 6.6 \)	\(a_{416}= -0.77528337 \pm 4.4 \)	\(a_{417}= \pm0.50596651 \pm 4.1 \)
\(a_{418}= +0.82051491 \pm 1.2 \)	\(a_{419}= -0.06999365 \pm 5.1 \)	\(a_{420}= \pm0.10464954 \pm 1.1 \)
\(a_{421}= -0.51291092 \pm 14. \)	\(a_{422}= +0.02265114 \pm 3.7 \)	\(a_{423}= \pm0.09018860 \pm 3.4 \)
\(a_{424}= +0.53344680 \pm 3.1 \)	\(a_{425}= +0.22612386 \pm 1.7 \)	\(a_{426}= \pm1.11152788 \pm 2.4 \)
\(a_{427}= +0.78959575 \pm 1.8 \)	\(a_{428}= +0.53762075 \pm 4.5 \)	\(a_{429}= \pm0.22932111 \pm 2.0 \)
\(a_{430}= +0.34540433 \pm 4.9 \)	\(a_{431}= +1.48761367 \pm 6.0 \)	\(a_{432}= \pm0.24042497 \pm 1.3 \)
\(a_{433}= -1.00154632 \pm 11. \)	\(a_{434}= -0.80620523 \pm 2.3 \)	\(a_{435}= \pm0.19360249 \pm 4.8 \)
\(a_{436}= +0.01711297 \pm 8.8 \)	\(a_{437}= +2.05854061 \pm 4.9 \)	\(a_{438}= \pm1.02965640 \pm 1.9 \)
\(a_{439}= -1.21507191 \pm 8.8 \)	\(a_{440}= -0.08364658 \pm 2.3 \)	\(a_{441}= \pm0.24337131 \pm 2.9 \)
\(a_{442}= -0.26510728 \pm 1.5 \)	\(a_{443}= +0.09032687 \pm 13. \)	\(a_{444}= \pm0.47365359 \pm 4.0 \)
\(a_{445}= +0.17030815 \pm 2.5 \)	\(a_{446}= -0.18337977 \pm 3.3 \)	\(a_{447}= \pm0.71675717 \pm 4.5 \)
\(a_{448}= +0.24306849 \pm 4.1 \)	\(a_{449}= -1.36328007 \pm 13. \)	\(a_{450}= \pm0.37028858 \pm 8.7 \cdot 10^{-1} \)
\(a_{451}= -0.34998206 \pm 7.7 \)	\(a_{452}= +0.06230101 \pm 3.9 \)	\(a_{453}= \pm0.11863985 \pm 7.0 \)
\(a_{454}= -0.68280238 \pm 6.1 \)	\(a_{455}= -0.33857858 \pm 1.2 \)	\(a_{456}= \pm0.55536500 \pm 1.1 \)
\(a_{457}= +1.41904975 \pm 8.3 \)	\(a_{458}= +1.11121077 \pm 4.6 \)	\(a_{459}= \pm0.04754908 \pm 8.3 \cdot 10^{-1} \)
\(a_{460}= +0.18854676 \pm 8.3 \)	\(a_{461}= -1.72619721 \pm 4.2 \)	\(a_{462}= \pm0.41415435 \pm 1.3 \)
\(a_{463}= -0.27298571 \pm 10. \)	\(a_{464}= -1.43869684 \pm 9.2 \)	\(a_{465}= \pm0.08489305 \pm 2.0 \)
\(a_{466}= +2.29392120 \pm 4.2 \)	\(a_{467}= +0.72894375 \pm 11. \)	\(a_{468}= \pm0.13945497 \pm 1.7 \)
\(a_{469}= -1.92274715 \pm 4.7 \)	\(a_{470}= -0.09562598 \pm 3.7 \)	\(a_{471}= \pm0.36273666 \pm 7.4 \)
\(a_{472}= +1.01711533 \pm 7.0 \)	\(a_{473}= +0.43910773 \pm 5.3 \)	\(a_{474}= \pm0.37239315 \pm 2.0 \)
\(a_{475}= +1.37696632 \pm 1.8 \)	\(a_{476}= -0.15380068 \pm 2.3 \)	\(a_{477}= \pm0.27811967 \pm 1.7 \)
\(a_{478}= -0.42480589 \pm 3.2 \)	\(a_{479}= +1.18324778 \pm 7.7 \)	\(a_{480}= \pm0.14743656 \pm 3.0 \)
\(a_{481}= -1.53243823 \pm 3.3 \)	\(a_{482}= +0.56583853 \pm 4.5 \)	\(a_{483}= \pm1.03904699 \pm 1.8 \)
\(a_{484}= -0.37771588 \pm 5.3 \)	\(a_{485}= +0.43129670 \pm 6.3 \)	\(a_{486}= \pm0.07786389 \pm 3.0 \cdot 10^{-1} \)
\(a_{487}= -1.41755482 \pm 5.5 \)	\(a_{488}= -0.38380057 \pm 3.6 \)	\(a_{489}= \pm0.50183925 \pm 9.3 \cdot 10^{-1} \)
\(a_{490}= -0.25804391 \pm 3.1 \)	\(a_{491}= -0.64873168 \pm 5.1 \)	\(a_{492}= \pm0.21283142 \pm 6.4 \)
\(a_{493}= -0.28453249 \pm 4.9 \)	\(a_{494}= -1.61435329 \pm 1.0 \)	\(a_{495}= \pm0.04361027 \pm 1.3 \)
\(a_{496}= +0.63085636 \pm 3.9 \)	\(a_{497}= +2.08631131 \pm 6.2 \)	\(a_{498}= \pm0.70173962 \pm 2.2 \)
\(a_{499}= -1.07652320 \pm 14. \)	\(a_{500}= +0.26392332 \pm 8.8 \)	\(a_{501}= \pm0.19352900 \pm 3.4 \)
\(a_{502}= +2.24425422 \pm 3.8 \)	\(a_{503}= +0.62173681 \pm 13. \)	\(a_{504}= \pm0.28032011 \pm 1.6 \)
\(a_{505}= -0.11244499 \pm 3.9 \)	\(a_{506}= +0.74618063 \pm 2.4 \)	\(a_{507}= \pm0.12616373 \pm 3.5 \)
\(a_{508}= +0.22429392 \pm 8.7 \)	\(a_{509}= -0.97999352 \pm 3.2 \)	\(a_{510}= \pm0.05041577 \pm 2.6 \)
\(a_{511}= +1.93264050 \pm 1.4 \)	\(a_{512}= +0.29689976 \pm 8.7 \)	\(a_{513}= \pm0.28954701 \pm 6.7 \cdot 10^{-1} \)
\(a_{514}= -0.85450876 \pm 4.2 \)	\(a_{515}= +0.09741011 \pm 5.1 \)	\(a_{516}= \pm0.26703061 \pm 4.0 \)
\(a_{517}= -0.12156798 \pm 6.5 \)	\(a_{518}= -2.76758631 \pm 3.5 \)	\(a_{519}= \pm0.19326211 \pm 3.0 \)
\(a_{520}= +0.16457364 \pm 2.3 \)	\(a_{521}= -0.62869352 \pm 12. \)	\(a_{522}= \pm0.46593550 \pm 1.6 \)
\(a_{523}= -1.88922839 \pm 4.9 \)	\(a_{524}= +0.11205775 \pm 4.8 \)	\(a_{525}= \pm0.69502283 \pm 2.5 \)
\(a_{526}= +0.43423626 \pm 5.5 \)	\(a_{527}= +0.12476508 \pm 2.2 \)	\(a_{528}= \pm0.32407618 \pm 2.5 \)
\(a_{529}= +0.87204779 \pm 11. \)	\(a_{530}= +0.29488720 \pm 2.7 \)	\(a_{531}= \pm0.53028676 \pm 2.7 \)
\(a_{532}= -0.93655911 \pm 8.7 \cdot 10^{-1} \)	\(a_{533}= +0.68858552 \pm 7.8 \)	\(a_{534}= \pm0.40987393 \pm 1.8 \)
\(a_{535}= -0.33078278 \pm 3.4 \)	\(a_{536}= +0.93459400 \pm 7.9 \)	\(a_{537}= \pm0.54666952 \pm 4.6 \)
\(a_{538}= +0.33080451 \pm 2.7 \)	\(a_{539}= -0.32804764 \pm 5.6 \)	\(a_{540}= \pm0.02652032 \pm 1.1 \)
\(a_{541}= -0.47093130 \pm 4.0 \)	\(a_{542}= +0.03523292 \pm 6.1 \)	\(a_{543}= \pm0.14748066 \pm 5.6 \)
\(a_{544}= +0.21668364 \pm 5.1 \)	\(a_{545}= -0.01052913 \pm 6.6 \)	\(a_{546}= \pm0.81484374 \pm 7.3 \cdot 10^{-1} \)
\(a_{547}= +0.55530209 \pm 6.5 \)	\(a_{548}= +0.45694248 \pm 9.8 \)	\(a_{549}= \pm0.20009959 \pm 2.2 \)
\(a_{550}= +0.49912331 \pm 1.9 \)	\(a_{551}= -1.73264187 \pm 4.4 \)	\(a_{552}= \pm0.50505189 \pm 3.9 \)
\(a_{553}= +0.69897306 \pm 4.8 \)	\(a_{554}= +1.43859958 \pm 3.6 \)	\(a_{555}= \pm0.29142561 \pm 2.9 \)
\(a_{556}= -0.41474319 \pm 6.4 \)	\(a_{557}= +1.62568613 \pm 7.3 \)	\(a_{558}= \pm0.20430877 \pm 8.4 \cdot 10^{-1} \)
\(a_{559}= -0.86393921 \pm 4.1 \)	\(a_{560}= +0.47847864 \pm 1.3 \)	\(a_{561}= \pm0.06409286 \pm 1.4 \)
\(a_{562}= +0.77491643 \pm 3.3 \)	\(a_{563}= -1.02206658 \pm 12. \)	\(a_{564}= \pm0.07392803 \pm 5.2 \)
\(a_{565}= -0.03833204 \pm 3.3 \)	\(a_{566}= -1.40777909 \pm 4.0 \)	\(a_{567}= \pm0.14614866 \pm 5.8 \cdot 10^{-1} \)
\(a_{568}= -1.01409799 \pm 6.2 \)	\(a_{569}= -0.10710776 \pm 7.1 \)	\(a_{570}= \pm0.30700349 \pm 9.6 \cdot 10^{-1} \)
\(a_{571}= -1.28235873 \pm 8.4 \)	\(a_{572}= -0.18797562 \pm 3.2 \)	\(a_{573}= \pm0.66637316 \pm 3.8 \)
\(a_{574}= +1.24358674 \pm 3.3 \)	\(a_{575}= +1.25222050 \pm 6.6 \)	\(a_{576}= \pm0.06159849 \pm 2.1 \)
\(a_{577}= -0.56068602 \pm 9.2 \)	\(a_{578}= -1.13968318 \pm 5.8 \)	\(a_{579}= \pm0.26335909 \pm 6.5 \)
\(a_{580}= -0.15869690 \pm 7.9 \)	\(a_{581}= +1.31714852 \pm 6.8 \)	\(a_{582}= \pm1.03798481 \pm 2.1 \)
\(a_{583}= +0.37488601 \pm 3.2 \)	\(a_{584}= -0.93940288 \pm 2.0 \)	\(a_{585}= \pm0.08580268 \pm 1.3 \)
\(a_{586}= -0.28695634 \pm 4.1 \)	\(a_{587}= -0.21088623 \pm 9.3 \)	\(a_{588}= \pm0.19949264 \pm 4.5 \)
\(a_{589}= +0.75974877 \pm 1.9 \)	\(a_{590}= +0.56225718 \pm 3.2 \)	\(a_{591}= \pm0.03091166 \pm 9.5 \)
\(a_{592}= +2.16563893 \pm 4.6 \)	\(a_{593}= +0.18325783 \pm 9.2 \)	\(a_{594}= \pm0.10495512 \pm 5.7 \cdot 10^{-1} \)
\(a_{595}= +0.09462919 \pm 1.6 \)	\(a_{596}= -0.58752932 \pm 6.3 \)	\(a_{597}= \pm0.28401282 \pm 3.6 \)
\(a_{598}= -1.46810148 \pm 2.3 \)	\(a_{599}= -1.04917826 \pm 3.7 \)	\(a_{600}= \pm0.33783130 \pm 2.2 \)
\(a_{601}= +1.02654242 \pm 5.6 \)	\(a_{602}= -1.56027584 \pm 5.5 \)	\(a_{603}= \pm0.48726315 \pm 4.8 \)
\(a_{604}= -0.09724966 \pm 11. \)	\(a_{605}= +0.23239786 \pm 3.9 \)	\(a_{606}= \pm0.27061693 \pm 2.2 \)
\(a_{607}= -1.50035027 \pm 14. \)	\(a_{608}= +1.31948076 \pm 2.7 \)	\(a_{609}= \pm0.87454982 \pm 3.0 \)
\(a_{610}= -0.21216338 \pm 3.2 \)	\(a_{611}= +0.23918355 \pm 6.3 \)	\(a_{612}= \pm0.03897621 \pm 1.6 \)
\(a_{613}= -0.67706532 \pm 7.8 \)	\(a_{614}= +0.95924445 \pm 3.3 \)	\(a_{615}= \pm0.13094913 \pm 4.8 \)
\(a_{616}= +0.37785206 \pm 3.4 \)	\(a_{617}= +0.24893328 \pm 14. \)	\(a_{618}= \pm0.23443308 \pm 3.0 \)
\(a_{619}= -0.02928405 \pm 6.0 \)	\(a_{620}= +0.06958724 \pm 3.3 \)	\(a_{621}= \pm0.26331560 \pm 2.4 \)
\(a_{622}= +1.13368665 \pm 5.6 \)	\(a_{623}= -0.76932359 \pm 4.9 \)	\(a_{624}= \pm0.63761601 \pm 2.5 \)
\(a_{625}= +0.75282882 \pm 3.5 \)	\(a_{626}= +2.15163812 \pm 5.9 \)	\(a_{627}= \pm0.39028928 \pm 1.3 \)
\(a_{628}= -0.29733699 \pm 11. \)	\(a_{629}= +0.42830055 \pm 6.8 \)	\(a_{630}= \pm0.15495981 \pm 6.1 \cdot 10^{-1} \)
\(a_{631}= -1.63697459 \pm 8.6 \)	\(a_{632}= -0.33975139 \pm 4.7 \)	\(a_{633}= \pm0.01077433 \pm 2.1 \)
\(a_{634}= -1.57276274 \pm 2.4 \)	\(a_{635}= -0.13800168 \pm 6.3 \)	\(a_{636}= \pm0.22797603 \pm 2.7 \)
\(a_{637}= +0.64542981 \pm 5.4 \)	\(a_{638}= -0.62804872 \pm 3.0 \)	\(a_{639}= \pm0.52871363 \pm 3.2 \)
\(a_{640}= -0.32067982 \pm 5.7 \)	\(a_{641}= +0.41561564 \pm 3.5 \)	\(a_{642}= \pm0.79608191 \pm 1.8 \)
\(a_{643}= +0.95162124 \pm 9.0 \)	\(a_{644}= -0.85171184 \pm 2.9 \)	\(a_{645}= \pm0.16429635 \pm 3.0 \)
\(a_{646}= +0.45119496 \pm 1.3 \)	\(a_{647}= -0.32647426 \pm 7.1 \)	\(a_{648}= \pm0.07103881 \pm 6.3 \cdot 10^{-1} \)
\(a_{649}= +0.71478975 \pm 5.4 \)	\(a_{650}= -0.98201915 \pm 1.0 \)	\(a_{651}= \pm0.38348268 \pm 2.0 \)
\(a_{652}= +0.41136006 \pm 1.7 \)	\(a_{653}= +0.16705410 \pm 6.5 \)	\(a_{654}= \pm0.02534004 \pm 2.3 \)
\(a_{655}= -0.06894595 \pm 3.7 \)	\(a_{656}= -0.97310781 \pm 9.4 \)	\(a_{657}= \pm0.48977033 \pm 1.3 \)
\(a_{658}= +0.43196593 \pm 3.1 \)	\(a_{659}= -1.51814042 \pm 8.4 \)	\(a_{660}= \pm0.03574755 \pm 2.1 \)
\(a_{661}= +1.15723415 \pm 9.3 \)	\(a_{662}= +0.93706362 \pm 4.0 \)	\(a_{663}= \pm0.12610195 \pm 1.0 \)
\(a_{664}= -0.64022932 \pm 6.7 \)	\(a_{665}= +0.57623823 \pm 7.6 \cdot 10^{-1} \)	\(a_{666}= \pm0.70136254 \pm 2.2 \)
\(a_{667}= -1.57567374 \pm 17. \)	\(a_{668}= -0.15863665 \pm 5.8 \)	\(a_{669}= \pm0.08722713 \pm 1.9 \)
\(a_{670}= +0.51663972 \pm 3.6 \)	\(a_{671}= -0.26972036 \pm 4.4 \)	\(a_{672}= \pm0.66600703 \pm 2.8 \)
\(a_{673}= +1.04707641 \pm 7.0 \)	\(a_{674}= +1.87589946 \pm 4.6 \)	\(a_{675}= \pm0.17613289 \pm 1.0 \)
\(a_{676}= -0.10341702 \pm 5.4 \)	\(a_{677}= +0.91343138 \pm 6.5 \)	\(a_{678}= \pm0.09225222 \pm 2.5 \)
\(a_{679}= -1.94827272 \pm 6.4 \)	\(a_{680}= -0.04599662 \pm 1.5 \)	\(a_{681}= \pm0.32478441 \pm 7.3 \)
\(a_{682}= +0.27539404 \pm 1.6 \)	\(a_{683}= +0.57616275 \pm 14. \)	\(a_{684}= \pm0.23734309 \pm 1.0 \)
\(a_{685}= -0.28114373 \pm 7.4 \)	\(a_{686}= -0.43088070 \pm 3.0 \)	\(a_{687}= \pm0.52856279 \pm 3.2 \)
\(a_{688}= +1.22091734 \pm 5.1 \)	\(a_{689}= -0.73758375 \pm 3.0 \)	\(a_{690}= \pm0.27919061 \pm 1.6 \)
\(a_{691}= -1.55553420 \pm 11. \)	\(a_{692}= +0.15841788 \pm 4.9 \)	\(a_{693}= \pm0.19699825 \pm 1.1 \)
\(a_{694}= -1.44403039 \pm 3.7 \)	\(a_{695}= +0.25517971 \pm 4.6 \)	\(a_{696}= \pm0.42509438 \pm 3.9 \)
\(a_{697}= -0.19245249 \pm 3.5 \)	\(a_{698}= -0.01728476 \pm 5.3 \)	\(a_{699}= \pm1.09113539 \pm 5.2 \)
\(a_{700}= -0.56971357 \pm 2.5 \)	\(a_{701}= -0.37025882 \pm 8.5 \)	\(a_{702}= \pm0.20649794 \pm 3.8 \cdot 10^{-1} \)
\(a_{703}= +2.60810798 \pm 2.1 \)	\(a_{704}= -0.08303049 \pm 3.8 \)	\(a_{705}= \pm0.04548582 \pm 4.1 \)
\(a_{706}= +0.56852601 \pm 6.2 \)	\(a_{707}= +0.50794152 \pm 4.9 \)	\(a_{708}= \pm0.43467862 \pm 3.6 \)
\(a_{709}= +1.01510411 \pm 4.0 \)	\(a_{710}= -0.56058921 \pm 3.1 \)	\(a_{711}= \pm0.17713396 \pm 2.4 \)
\(a_{712}= +0.37394683 \pm 3.7 \)	\(a_{713}= +0.69091957 \pm 7.4 \)	\(a_{714}= \pm0.22774035 \pm 1.5 \)
\(a_{715}= +0.11565606 \pm 2.6 \)	\(a_{716}= -0.44810764 \pm 7.5 \)	\(a_{717}= \pm0.20206480 \pm 4.5 \)
\(a_{718}= -0.35404196 \pm 5.6 \)	\(a_{719}= -0.51217795 \pm 3.8 \)	\(a_{720}= \pm0.12125620 \pm 1.6 \)
\(a_{721}= -0.44002531 \pm 4.1 \)	\(a_{722}= +1.53374407 \pm 4.2 \)	\(a_{723}= \pm0.26914893 \pm 4.4 \)
\(a_{724}= +0.12089061 \pm 8.8 \)	\(a_{725}= -1.05397468 \pm 6.5 \)	\(a_{726}= \pm0.55930279 \pm 1.7 \)
\(a_{727}= -0.10627942 \pm 3.9 \)	\(a_{728}= -0.74341941 \pm 1.8 \)	\(a_{729}= \pm0.03703704 \pm 1.0 \cdot 10^{-8} \)
\(a_{730}= -0.51929805 \pm 2.9 \)	\(a_{731}= +0.24146203 \pm 5.3 \)	\(a_{732}= \pm0.16402260 \pm 3.4 \)
\(a_{733}= -1.32332290 \pm 16. \)	\(a_{734}= -2.11500551 \pm 3.6 \)	\(a_{735}= \pm0.12274216 \pm 3.4 \)
\(a_{736}= +1.19994283 \pm 9.5 \)	\(a_{737}= +0.65679691 \pm 8.9 \)	\(a_{738}= \pm0.31515012 \pm 1.3 \)
\(a_{739}= -0.31194832 \pm 9.7 \)	\(a_{740}= +0.23888298 \pm 5.5 \)	\(a_{741}= \pm0.76788950 \pm 1.5 \)
\(a_{742}= -1.33207763 \pm 2.2 \)	\(a_{743}= -0.53631190 \pm 13. \)	\(a_{744}= \pm0.18640028 \pm 2.0 \)
\(a_{745}= +0.36149011 \pm 4.6 \)	\(a_{746}= +0.09533202 \pm 3.1 \)	\(a_{747}= \pm0.33379217 \pm 3.4 \)
\(a_{748}= +0.05253723 \pm 2.7 \)	\(a_{749}= +1.49422675 \pm 2.4 \)	\(a_{750}= \pm0.39080445 \pm 2.5 \)
\(a_{751}= +1.00144496 \pm 7.7 \)	\(a_{752}= -0.33801376 \pm 7.8 \)	\(a_{753}= \pm1.06751060 \pm 6.4 \)
\(a_{754}= +1.23567836 \pm 2.3 \)	\(a_{755}= +0.05983495 \pm 8.3 \)	\(a_{756}= \pm0.11979876 \pm 6.7 \cdot 10^{-1} \)
\(a_{757}= -0.38587620 \pm 2.6 \)	\(a_{758}= +2.00866020 \pm 2.4 \)	\(a_{759}= \pm0.35493115 \pm 4.5 \)
\(a_{760}= -0.28009340 \pm 1.6 \)	\(a_{761}= +0.30815457 \pm 14. \)	\(a_{762}= \pm0.33212322 \pm 2.9 \)
\(a_{763}= +0.04756264 \pm 3.6 \)	\(a_{764}= -0.54622930 \pm 5.5 \)	\(a_{765}= \pm0.02398096 \pm 1.1 \)
\(a_{766}= -0.12914536 \pm 2.8 \)	\(a_{767}= -1.40634030 \pm 4.2 \)	\(a_{768}= \pm0.66507578 \pm 2.6 \)
\(a_{769}= -0.04000356 \pm 7.9 \)	\(a_{770}= +0.20887506 \pm 1.1 \)	\(a_{771}= \pm0.40645892 \pm 5.9 \)
\(a_{772}= -0.21587672 \pm 10. \)	\(a_{773}= +0.63306808 \pm 6.9 \)	\(a_{774}= \pm0.39540557 \pm 2.0 \)
\(a_{775}= +0.46215896 \pm 3.2 \)	\(a_{776}= +0.94700126 \pm 6.3 \)	\(a_{777}= \pm1.31644075 \pm 1.9 \)
\(a_{778}= +0.50981956 \pm 2.4 \)	\(a_{779}= -1.17192678 \pm 4.6 \)	\(a_{780}= \pm0.07033287 \pm 2.1 \)
\(a_{781}= -0.71266928 \pm 6.1 \)	\(a_{782}= +0.41031910 \pm 1.7 \)	\(a_{783}= \pm0.22162867 \pm 2.3 \)
\(a_{784}= -0.91212024 \pm 6.4 \)	\(a_{785}= +0.18294301 \pm 9.0 \)	\(a_{786}= \pm0.16592950 \pm 2.0 \)
\(a_{787}= -1.30441758 \pm 14. \)	\(a_{788}= -0.02533844 \pm 15. \)	\(a_{789}= \pm0.20655049 \pm 4.2 \)
\(a_{790}= -0.18781318 \pm 2.9 \)	\(a_{791}= +0.17315522 \pm 6.3 \)	\(a_{792}= \pm0.09575538 \pm 1.2 \)
\(a_{793}= +0.53067159 \pm 4.3 \)	\(a_{794}= -0.95477272 \pm 4.3 \)	\(a_{795}= \pm0.14026718 \pm 2.0 \)
\(a_{796}= -0.23280668 \pm 6.2 \)	\(a_{797}= -1.22729757 \pm 3.4 \)	\(a_{798}= \pm1.38680988 \pm 3.1 \cdot 10^{-1} \)
\(a_{799}= -0.06684931 \pm 3.2 \)	\(a_{800}= +0.80264672 \pm 4.3 \)	\(a_{801}= \pm0.19496221 \pm 1.4 \)
\(a_{802}= +1.42259363 \pm 3.8 \)	\(a_{803}= -0.66017641 \pm 2.5 \)	\(a_{804}= \pm0.39941196 \pm 7.7 \)
\(a_{805}= +0.52403411 \pm 2.2 \)	\(a_{806}= -0.54183448 \pm 1.1 \)	\(a_{807}= \pm0.15735175 \pm 3.6 \)
\(a_{808}= -0.24689627 \pm 4.2 \)	\(a_{809}= +1.65434664 \pm 8.3 \)	\(a_{810}= \pm0.03926996 \pm 4.1 \cdot 10^{-1} \)
\(a_{811}= +0.42362786 \pm 3.6 \)	\(a_{812}= +0.71687271 \pm 3.8 \)	\(a_{813}= \pm0.01675903 \pm 5.0 \)
\(a_{814}= +0.94538803 \pm 3.6 \)	\(a_{815}= -0.25309817 \pm 1.5 \)	\(a_{816}= \pm0.17820704 \pm 1.7 \)
\(a_{817}= +1.47036711 \pm 2.5 \)	\(a_{818}= -1.86660289 \pm 4.6 \)	\(a_{819}= \pm0.38759171 \pm 7.1 \cdot 10^{-1} \)
\(a_{820}= -0.10733963 \pm 7.7 \)	\(a_{821}= -0.34278102 \pm 10. \)	\(a_{822}= \pm0.67661756 \pm 3.2 \)
\(a_{823}= +0.63900153 \pm 4.4 \)	\(a_{824}= +0.21388408 \pm 4.2 \)	\(a_{825}= \pm0.23741491 \pm 2.0 \)
\(a_{826}= -2.53985322 \pm 6.2 \)	\(a_{827}= -0.09463352 \pm 6.7 \)	\(a_{828}= \pm0.21584107 \pm 3.9 \)
\(a_{829}= -1.35873813 \pm 10. \)	\(a_{830}= -0.35391614 \pm 2.1 \)	\(a_{831}= \pm0.68428981 \pm 2.7 \)
\(a_{832}= +0.16336149 \pm 3.4 \)	\(a_{833}= -0.18039092 \pm 3.6 \)	\(a_{834}= \pm0.61413097 \pm 3.8 \)
\(a_{835}= +0.09760463 \pm 4.3 \)	\(a_{836}= +0.31992201 \pm 2.0 \)	\(a_{837}= \pm0.09718229 \pm 1.0 \)
\(a_{838}= -0.08495675 \pm 2.2 \)	\(a_{839}= +1.64321838 \pm 4.6 \)	\(a_{840}= \pm0.14137696 \pm 1.0 \)
\(a_{841}= +0.32622028 \pm 7.6 \)	\(a_{842}= -0.62255995 \pm 6.7 \)	\(a_{843}= \pm0.36859973 \pm 5.7 \)
\(a_{844}= +0.00883177 \pm 3.8 \)	\(a_{845}= +0.06362955 \pm 4.2 \)	\(a_{846}= \pm0.10946893 \pm 1.3 \)
\(a_{847}= -1.04979798 \pm 2.9 \)	\(a_{848}= +1.04235202 \pm 3.7 \)	\(a_{849}= \pm0.66962962 \pm 7.9 \)
\(a_{850}= +0.27446414 \pm 1.4 \)	\(a_{851}= +2.37182728 \pm 7.2 \)	\(a_{852}= \pm0.43338912 \pm 4.8 \)
\(a_{853}= -0.10886808 \pm 11. \)	\(a_{854}= +0.95839388 \pm 8.1 \cdot 10^{-1} \)	\(a_{855}= \pm0.14603046 \pm 9.1 \cdot 10^{-1} \)
\(a_{856}= -0.72630213 \pm 2.7 \)	\(a_{857}= -0.56691254 \pm 6.4 \)	\(a_{858}= \pm0.27834489 \pm 7.6 \cdot 10^{-1} \)
\(a_{859}= -0.20367070 \pm 7.2 \)	\(a_{860}= +0.13467451 \pm 5.0 \)	\(a_{861}= \pm0.59152925 \pm 3.2 \)
\(a_{862}= +1.80563261 \pm 4.3 \)	\(a_{863}= -1.94920911 \pm 10. \)	\(a_{864}= \pm0.16877970 \pm 1.4 \)
\(a_{865}= -0.09747003 \pm 3.9 \)	\(a_{866}= -1.21565479 \pm 5.8 \)	\(a_{867}= \pm0.54210609 \pm 5.1 \)
\(a_{868}= -0.31434261 \pm 2.1 \)	\(a_{869}= -0.23876428 \pm 4.6 \)	\(a_{870}= \pm0.23499043 \pm 2.1 \)
\(a_{871}= -1.29224008 \pm 9.3 \)	\(a_{872}= -0.02311888 \pm 5.2 \)	\(a_{873}= \pm0.49373185 \pm 3.2 \)
\(a_{874}= +2.49861111 \pm 1.5 \)	\(a_{875}= +0.73353063 \pm 3.8 \)	\(a_{876}= \pm0.40146710 \pm 2.4 \)
\(a_{877}= +0.10228146 \pm 5.7 \)	\(a_{878}= -1.47482744 \pm 4.0 \)	\(a_{879}= \pm0.13649476 \pm 8.5 \)
\(a_{880}= -0.16344494 \pm 3.4 \)	\(a_{881}= -0.36558316 \pm 14. \)	\(a_{882}= \pm0.29539872 \pm 1.4 \)
\(a_{883}= -0.10363760 \pm 2.3 \)	\(a_{884}= -0.10336637 \pm 1.9 \)	\(a_{885}= \pm0.26744541 \pm 2.6 \)
\(a_{886}= +0.10963676 \pm 7.2 \)	\(a_{887}= -0.47427248 \pm 11. \)	\(a_{888}= \pm0.63988529 \pm 2.0 \)
\(a_{889}= +0.62338736 \pm 9.1 \)	\(a_{890}= +0.20671627 \pm 2.4 \)	\(a_{891}= \pm0.04992336 \pm 6.5 \cdot 10^{-1} \)
\(a_{892}= -0.07150050 \pm 3.4 \)	\(a_{893}= -0.40707449 \pm 4.0 \)	\(a_{894}= \pm0.86998402 \pm 2.4 \)
\(a_{895}= +0.27570791 \pm 5.6 \)	\(a_{896}= +1.44858917 \pm 2.8 \)	\(a_{897}= \pm0.69832280 \pm 4.8 \)
\(a_{898}= -1.65471923 \pm 6.1 \)	\(a_{899}= -0.58153635 \pm 7.0 \)	\(a_{900}= \pm0.14437698 \pm 1.4 \)
\(a_{901}= +0.20614699 \pm 3.0 \)	\(a_{902}= -0.42480049 \pm 2.6 \)	\(a_{903}= \pm0.74216681 \pm 4.4 \)
\(a_{904}= -0.08416594 \pm 4.7 \)	\(a_{905}= -0.07438056 \pm 6.9 \)	\(a_{906}= \pm0.14400243 \pm 2.2 \)
\(a_{907}= +1.03540543 \pm 16. \)	\(a_{908}= -0.26622735 \pm 12. \)	\(a_{909}= \pm0.12872269 \pm 1.8 \)
\(a_{910}= -0.41095920 \pm 6.9 \cdot 10^{-1} \)	\(a_{911}= +0.68802972 \pm 11. \)	\(a_{912}= \pm1.08518005 \pm 1.5 \)
\(a_{913}= -0.44992867 \pm 6.4 \)	\(a_{914}= +1.72241123 \pm 5.2 \)	\(a_{915}= \pm0.10091845 \pm 2.9 \)
\(a_{916}= +0.43326547 \pm 4.4 \)	\(a_{917}= +0.31144572 \pm 6.0 \)	\(a_{918}= \pm0.05771403 \pm 1.0 \)
\(a_{919}= +0.00177866 \pm 6.3 \)	\(a_{920}= -0.25471843 \pm 4.7 \)	\(a_{921}= \pm0.45627790 \pm 2.4 \)
\(a_{922}= -2.09522004 \pm 2.2 \)	\(a_{923}= +1.40216830 \pm 5.7 \)	\(a_{924}= \pm0.16148042 \pm 1.3 \)
\(a_{925}= +1.58652507 \pm 3.0 \)	\(a_{926}= -0.33134402 \pm 5.1 \)	\(a_{927}= \pm0.11151134 \pm 2.3 \)
\(a_{928}= -1.00997336 \pm 9.5 \)	\(a_{929}= -0.67473711 \pm 8.8 \)	\(a_{930}= \pm0.10304131 \pm 1.0 \)
\(a_{931}= -1.09847862 \pm 3.2 \)	\(a_{932}= +0.89440895 \pm 8.4 \)	\(a_{933}= \pm0.53925375 \pm 7.9 \)
\(a_{934}= +0.88477581 \pm 5.2 \)	\(a_{935}= -0.03232467 \pm 1.9 \)	\(a_{936}= \pm0.18839757 \pm 1.0 \)
\(a_{937}= +0.64144870 \pm 6.3 \)	\(a_{938}= -2.33378801 \pm 2.6 \)	\(a_{939}= \pm1.02345647 \pm 3.3 \)
\(a_{940}= -0.03728495 \pm 6.3 \)	\(a_{941}= -1.37702859 \pm 6.9 \)	\(a_{942}= \pm0.44028174 \pm 2.3 \)
\(a_{943}= -1.06575645 \pm 18. \)	\(a_{944}= +1.98743757 \pm 4.1 \)	\(a_{945}= \pm0.07370878 \pm 4.5 \cdot 10^{-1} \)
\(a_{946}= +0.53297926 \pm 3.9 \)	\(a_{947}= -1.90449242 \pm 4.5 \)	\(a_{948}= \pm0.14519756 \pm 3.6 \)
\(a_{949}= +1.29888920 \pm 2.4 \)	\(a_{950}= +1.67133130 \pm 9.7 \cdot 10^{-1} \)	\(a_{951}= \pm0.74810638 \pm 3.4 \)
\(a_{952}= +0.20777799 \pm 1.8 \)	\(a_{953}= +1.38100092 \pm 16. \)	\(a_{954}= \pm0.33757551 \pm 1.0 \)
\(a_{955}= +0.33607938 \pm 3.8 \)	\(a_{956}= -0.16563349 \pm 6.8 \)	\(a_{957}= \pm0.29874007 \pm 4.3 \)
\(a_{958}= +1.43620002 \pm 4.6 \)	\(a_{959}= +1.26999502 \pm 5.1 \)	\(a_{960}= \pm0.03106665 \pm 2.5 \)
\(a_{961}= -0.74500124 \pm 6.2 \)	\(a_{962}= -1.86003966 \pm 2.0 \)	\(a_{963}= \pm0.37866739 \pm 1.5 \)
\(a_{964}= +0.22062268 \pm 6.4 \)	\(a_{965}= +0.13282282 \pm 8.1 \)	\(a_{966}= \pm1.26117228 \pm 6.4 \cdot 10^{-1} \)
\(a_{967}= -1.11974759 \pm 16. \)	\(a_{968}= +0.51027765 \pm 3.3 \)	\(a_{969}= \pm0.21461713 \pm 7.3 \cdot 10^{-1} \)
\(a_{970}= +0.52349841 \pm 2.0 \)	\(a_{971}= -1.77094992 \pm 14. \)	\(a_{972}= \pm0.03035944 \pm 5.4 \cdot 10^{-1} \)
\(a_{973}= -1.15270918 \pm 7.2 \)	\(a_{974}= -1.72059672 \pm 2.7 \)	\(a_{975}= \pm0.46711101 \pm 1.7 \)
\(a_{976}= -0.74994413 \pm 5.5 \)	\(a_{977}= +1.58473793 \pm 8.9 \)	\(a_{978}= \pm0.60912140 \pm 1.1 \)
\(a_{979}= +0.26279553 \pm 2.9 \)	\(a_{980}= -0.10061234 \pm 5.5 \)	\(a_{981}= \pm0.01205334 \pm 3.1 \)
\(a_{982}= -0.78741618 \pm 2.8 \)	\(a_{983}= -0.94694561 \pm 3.9 \)	\(a_{984}= \pm0.28752594 \pm 4.1 \)
\(a_{985}= +0.01559002 \pm 11. \)	\(a_{986}= -0.34535925 \pm 5.4 \)	\(a_{987}= \pm0.20547058 \pm 2.9 \)
\(a_{988}= -0.62944273 \pm 2.2 \)	\(a_{989}= +1.33715967 \pm 8.5 \)	\(a_{990}= \pm0.05293318 \pm 8.4 \cdot 10^{-1} \)
\(a_{991}= +1.20335537 \pm 10. \)	\(a_{992}= +0.44286476 \pm 4.3 \)	\(a_{993}= \pm0.44572729 \pm 3.1 \)
\(a_{994}= +2.53231858 \pm 4.1 \)	\(a_{995}= +0.14323934 \pm 4.6 \)	\(a_{996}= \pm0.27361105 \pm 5.1 \)
\(a_{997}= -1.62334862 \pm 13. \)	\(a_{998}= -1.30666008 \pm 5.5 \)	\(a_{999}= \pm0.33361280 \pm 1.2 \)
\(a_{1000}= -0.35654887 \pm 5.2 \)

Displaying $a_n$ with $n$ up to: