Maass form 3.82 on \(\Gamma_0(3)\) with \(R=24.9166573\)

• Label: 3.82
• Level: $3$
• Weight: $0$
• Character: 3.1
• Symmetry: odd
• \(R\): 24.91665
• Fricke sign: not computed rigorously

Maass form invariants

Level:	\( 3 \)
Weight:	\( 0 \)
Character:	3.1
Symmetry:	odd
Fricke sign:	not computed rigorously
Spectral parameter:	\(24.9166573878637825680236662309 \pm 10 \cdot 10^{-3}\)

Maass form coefficients

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

\(a_{1}= +1 \)	\(a_{2}= -1.67503320 \pm 17. \)	\(a_{3}= \pm0.57735027 \pm 1.0 \cdot 10^{-8} \)
\(a_{4}= +1.80573622 \pm 31. \)	\(a_{5}= +1.71553473 \pm 24. \)	\(a_{6}= \pm0.96708087 \pm 10. \)
\(a_{7}= -0.21724619 \pm 19. \)	\(a_{8}= -1.34963492 \pm 21. \)	\(a_{9}= \pm0.33333333 \pm 1.0 \cdot 10^{-8} \)
\(a_{10}= -2.87357762 \pm 13. \)	\(a_{11}= -1.43012287 \pm 22. \)	\(a_{12}= \pm1.04254229 \pm 18. \)
\(a_{13}= +1.02360186 \pm 21. \)	\(a_{14}= +0.36389458 \pm 13. \)	\(a_{15}= \pm0.99046444 \pm 13. \)
\(a_{16}= +0.45494708 \pm 25. \)	\(a_{17}= -0.24156646 \pm 16. \)	\(a_{18}= \pm0.55834440 \pm 5.8 \)
\(a_{19}= -0.57134529 \pm 13. \)	\(a_{20}= +3.09780320 \pm 22. \)	\(a_{21}= \pm0.12542715 \pm 11. \)
\(a_{22}= +2.39550329 \pm 11. \)	\(a_{23}= -0.20064668 \pm 48. \)	\(a_{24}= \pm0.77921209 \pm 12. \)
\(a_{25}= +1.94305940 \pm 19. \)	\(a_{26}= -1.71456710 \pm 7.5 \)	\(a_{27}= \pm0.19245009 \pm 1.0 \cdot 10^{-8} \)
\(a_{28}= -0.39228931 \pm 13. \)	\(a_{29}= +0.71623302 \pm 45. \)	\(a_{30}= \pm1.65906081 \pm 8.0 \)
\(a_{31}= -0.87458943 \pm 20. \)	\(a_{32}= +0.58758345 \pm 28. \)	\(a_{33}= \pm0.82568182 \pm 12. \)
\(a_{34}= +0.40463184 \pm 19. \)	\(a_{35}= -0.37269338 \pm 8.7 \)	\(a_{36}= \pm0.60191207 \pm 10. \)
\(a_{37}= -1.28195022 \pm 24. \)	\(a_{38}= +0.95702233 \pm 5.9 \)	\(a_{39}= \pm0.59097681 \pm 12. \)
\(a_{40}= -2.31534558 \pm 13. \)	\(a_{41}= +0.42907132 \pm 46. \)	\(a_{42}= \pm0.21009463 \pm 7.8 \)
\(a_{43}= -0.72518867 \pm 30. \)	\(a_{44}= -2.58242467 \pm 19. \)	\(a_{45}= \pm0.57184491 \pm 8.0 \)
\(a_{46}= +0.33608985 \pm 14. \)	\(a_{47}= +0.16064974 \pm 38. \)	\(a_{48}= \pm0.26266382 \pm 14. \)
\(a_{49}= -0.95280409 \pm 33. \)	\(a_{50}= -3.25468900 \pm 9.8 \)	\(a_{51}= \pm0.13946846 \pm 9.3 \)
\(a_{52}= +1.84835496 \pm 19. \)	\(a_{53}= +1.22848323 \pm 19. \)	\(a_{54}= \pm0.32236029 \pm 3.3 \)
\(a_{55}= -2.45342545 \pm 15. \)	\(a_{56}= +0.29320304 \pm 19. \)	\(a_{57}= \pm0.32986636 \pm 7.5 \)
\(a_{58}= -1.19971409 \pm 18. \)	\(a_{59}= +0.75111190 \pm 30. \)	\(a_{60}= \pm1.78851751 \pm 13. \)
\(a_{61}= +1.33167773 \pm 25. \)	\(a_{62}= +1.46496632 \pm 9.5 \)	\(a_{63}= \pm0.07241540 \pm 6.6 \)
\(a_{64}= -1.43916888 \pm 23. \)	\(a_{65}= +1.75602454 \pm 15. \)	\(a_{66}= \pm1.38304447 \pm 6.4 \)
\(a_{67}= -0.44490763 \pm 54. \)	\(a_{68}= -0.43620530 \pm 18. \)	\(a_{69}= \pm0.11584341 \pm 27. \)
\(a_{70}= +0.62427379 \pm 6.8 \)	\(a_{71}= +0.60780926 \pm 36. \)	\(a_{72}= \pm0.44987831 \pm 7.1 \)
\(a_{73}= -0.77366925 \pm 15. \)	\(a_{74}= +2.14730917 \pm 24. \)	\(a_{75}= \pm1.12182587 \pm 11. \)
\(a_{76}= -1.03169889 \pm 11. \)	\(a_{77}= +0.31068874 \pm 13. \)	\(a_{78}= \pm0.98990578 \pm 4.3 \)
\(a_{79}= -0.74099827 \pm 27. \)	\(a_{80}= +0.78047752 \pm 18. \)	\(a_{81}= \pm0.11111111 \pm 1.0 \cdot 10^{-8} \)
\(a_{82}= -0.71870871 \pm 15. \)	\(a_{83}= -1.05427713 \pm 38. \)	\(a_{84}= \pm0.22648834 \pm 7.5 \)
\(a_{85}= -0.41441565 \pm 13. \)	\(a_{86}= +1.21471510 \pm 23. \)	\(a_{87}= \pm0.41351733 \pm 26. \)
\(a_{88}= +1.93014377 \pm 13. \)	\(a_{89}= -0.03695409 \pm 15. \)	\(a_{90}= \pm0.95785921 \pm 4.6 \)
\(a_{91}= -0.22237360 \pm 8.0 \)	\(a_{92}= -0.36231498 \pm 44. \)	\(a_{93}= \pm0.50494444 \pm 11. \)
\(a_{94}= -0.26909366 \pm 15. \)	\(a_{95}= -0.98016269 \pm 10. \)	\(a_{96}= \pm0.33924147 \pm 16. \)
\(a_{97}= -1.17747856 \pm 36. \)	\(a_{98}= +1.59597849 \pm 15. \)	\(a_{99}= \pm0.47670762 \pm 7.3 \)
\(a_{100}= +3.50865274 \pm 16. \)	\(a_{101}= -1.02800722 \pm 20. \)	\(a_{102}= \pm0.23361430 \pm 11. \)
\(a_{103}= +1.20707925 \pm 26. \)	\(a_{104}= -1.38148882 \pm 12. \)	\(a_{105}= \pm0.21517462 \pm 5.0 \)
\(a_{106}= -2.05775020 \pm 12. \)	\(a_{107}= -1.19402073 \pm 17. \)	\(a_{108}= \pm0.34751410 \pm 6.1 \)
\(a_{109}= -0.44942616 \pm 35. \)	\(a_{110}= +4.10956908 \pm 9.5 \)	\(a_{111}= \pm0.74013430 \pm 14. \)
\(a_{112}= -0.09883552 \pm 7.1 \)	\(a_{113}= -1.69766653 \pm 20. \)	\(a_{114}= \pm0.55253710 \pm 3.4 \)
\(a_{115}= -0.34421635 \pm 33. \)	\(a_{116}= +1.29332791 \pm 42. \)	\(a_{117}= \pm0.34120062 \pm 7.1 \)
\(a_{118}= -1.25813737 \pm 20. \)	\(a_{119}= +0.05247939 \pm 8.9 \)	\(a_{120}= \pm1.33676539 \pm 7.6 \)
\(a_{121}= +1.04525142 \pm 21. \)	\(a_{122}= -2.23060441 \pm 10. \)	\(a_{123}= \pm0.24772444 \pm 26. \)
\(a_{124}= -1.57927781 \pm 18. \)	\(a_{125}= +1.61785114 \pm 35. \)	\(a_{126}= \pm0.12129819 \pm 4.5 \)
\(a_{127}= -0.17127231 \pm 39. \)	\(a_{128}= +1.82307220 \pm 29. \)	\(a_{129}= \pm0.41868787 \pm 17. \)
\(a_{130}= -2.94139940 \pm 5.7 \)	\(a_{131}= -0.60658923 \pm 23. \)	\(a_{132}= \pm1.49096358 \pm 11. \)
\(a_{133}= +0.12412259 \pm 3.6 \)	\(a_{134}= +0.74523505 \pm 18. \)	\(a_{135}= \pm0.33015481 \pm 4.6 \)
\(a_{136}= +0.32602653 \pm 8.2 \)	\(a_{137}= +1.43361373 \pm 39. \)	\(a_{138}= \pm0.19404157 \pm 8.1 \)
\(a_{139}= -1.00603055 \pm 26. \)	\(a_{140}= -0.67298594 \pm 7.4 \)	\(a_{141}= \pm0.09275117 \pm 22. \)
\(a_{142}= -1.01810069 \pm 16. \)	\(a_{143}= -1.46387643 \pm 13. \)	\(a_{144}= \pm0.15164903 \pm 8.5 \)
\(a_{145}= +1.22872262 \pm 31. \)	\(a_{146}= +1.29592167 \pm 12. \)	\(a_{147}= \pm0.55010170 \pm 19. \)
\(a_{148}= -2.31486394 \pm 26. \)	\(a_{149}= +0.44820768 \pm 29. \)	\(a_{150}= \pm1.87909557 \pm 5.6 \)
\(a_{151}= +1.07515730 \pm 45. \)	\(a_{152}= +0.77110756 \pm 7.4 \)	\(a_{153}= \pm0.08052215 \pm 5.3 \)
\(a_{154}= -0.52041396 \pm 9.0 \)	\(a_{155}= -1.50038853 \pm 13. \)	\(a_{156}= \pm1.06714823 \pm 11. \)
\(a_{157}= -1.52192293 \pm 48. \)	\(a_{158}= +1.24119670 \pm 13. \)	\(a_{159}= \pm0.70926513 \pm 11. \)
\(a_{160}= +1.00801982 \pm 19. \)	\(a_{161}= +0.04358973 \pm 12. \)	\(a_{162}= \pm0.18611480 \pm 1.9 \)
\(a_{163}= -1.39269150 \pm 6.0 \)	\(a_{164}= +0.77478963 \pm 42. \)	\(a_{165}= \pm1.41648584 \pm 8.9 \)
\(a_{166}= +1.76594920 \pm 14. \)	\(a_{167}= -0.96098954 \pm 22. \)	\(a_{168}= \pm0.16928086 \pm 11. \)
\(a_{169}= +0.04776077 \pm 23. \)	\(a_{170}= +0.69415997 \pm 17. \)	\(a_{171}= \pm0.19044843 \pm 4.3 \)
\(a_{172}= -1.30949945 \pm 26. \)	\(a_{173}= -0.53091438 \pm 19. \)	\(a_{174}= \pm0.69265525 \pm 10. \)
\(a_{175}= -0.42212225 \pm 16. \)	\(a_{176}= -0.65063023 \pm 16. \)	\(a_{177}= \pm0.43365466 \pm 17. \)
\(a_{178}= +0.06189933 \pm 12. \)	\(a_{179}= +1.13398717 \pm 30. \)	\(a_{180}= \pm1.03260107 \pm 7.5 \)
\(a_{181}= +0.11980237 \pm 36. \)	\(a_{182}= +0.37248317 \pm 4.7 \)	\(a_{183}= \pm0.76884450 \pm 14. \)
\(a_{184}= +0.27079977 \pm 25. \)	\(a_{185}= -2.19923011 \pm 18. \)	\(a_{186}= \pm0.84579870 \pm 5.4 \)
\(a_{187}= +0.34546972 \pm 9.3 \)	\(a_{188}= +0.29009106 \pm 34. \)	\(a_{189}= \pm0.04180905 \pm 3.8 \)
\(a_{190}= +1.64180504 \pm 6.2 \)	\(a_{191}= +1.09040985 \pm 25. \)	\(a_{192}= \pm0.83090454 \pm 13. \)
\(a_{193}= -1.38019335 \pm 42. \)	\(a_{194}= +1.97231568 \pm 14. \)	\(a_{195}= \pm1.01384124 \pm 8.7 \)
\(a_{196}= -1.72051287 \pm 29. \)	\(a_{197}= +0.83763389 \pm 61. \)	\(a_{198}= \pm0.79850110 \pm 3.7 \)
\(a_{199}= -1.31434281 \pm 23. \)	\(a_{200}= -2.62242082 \pm 14. \)	\(a_{201}= \pm0.25686754 \pm 31. \)
\(a_{202}= +1.72194623 \pm 14. \)	\(a_{203}= -0.15559889 \pm 19. \)	\(a_{204}= \pm0.25184325 \pm 10. \)
\(a_{205}= +0.73608676 \pm 31. \)	\(a_{206}= -2.02189782 \pm 20. \)	\(a_{207}= \pm0.06688223 \pm 16. \)
\(a_{208}= +0.46568468 \pm 16. \)	\(a_{209}= +0.81709397 \pm 8.6 \)	\(a_{210}= \pm0.36042464 \pm 3.9 \)
\(a_{211}= -0.31345416 \pm 13. \)	\(a_{212}= +2.21831668 \pm 17. \)	\(a_{213}= \pm0.35091884 \pm 20. \)
\(a_{214}= +2.00002436 \pm 11. \)	\(a_{215}= -1.24408635 \pm 20. \)	\(a_{216}= \pm0.25973736 \pm 4.1 \)
\(a_{217}= +0.19000122 \pm 12. \)	\(a_{218}= +0.75280375 \pm 15. \)	\(a_{219}= \pm0.44667815 \pm 8.9 \)
\(a_{220}= -4.43023920 \pm 13. \)	\(a_{221}= -0.24726787 \pm 7.0 \)	\(a_{222}= \pm1.23974953 \pm 14. \)
\(a_{223}= -0.68945749 \pm 12. \)	\(a_{224}= -0.12765027 \pm 18. \)	\(a_{225}= \pm0.64768647 \pm 6.6 \)
\(a_{226}= +2.84364781 \pm 16. \)	\(a_{227}= +0.00376875 \pm 47. \)	\(a_{228}= \pm0.59565163 \pm 6.8 \)
\(a_{229}= +0.09744331 \pm 20. \)	\(a_{230}= +0.57657381 \pm 10. \)	\(a_{231}= \pm0.17937623 \pm 7.7 \)
\(a_{232}= -0.96665310 \pm 25. \)	\(a_{233}= -0.02611243 \pm 34. \)	\(a_{234}= \pm0.57152237 \pm 2.5 \)
\(a_{235}= +0.27560021 \pm 27. \)	\(a_{236}= +1.35630997 \pm 23. \)	\(a_{237}= \pm0.42781555 \pm 15. \)
\(a_{238}= -0.08790472 \pm 10. \)	\(a_{239}= -1.22219861 \pm 29. \)	\(a_{240}= \pm0.45060891 \pm 10. \)
\(a_{241}= +0.71853854 \pm 29. \)	\(a_{242}= -1.75083084 \pm 11. \)	\(a_{243}= \pm0.06415003 \pm 1.0 \cdot 10^{-8} \)
\(a_{244}= +2.40465871 \pm 22. \)	\(a_{245}= -1.63456851 \pm 22. \)	\(a_{246}= \pm0.41494667 \pm 8.6 \)
\(a_{247}= -0.58483010 \pm 9.7 \)	\(a_{248}= +1.18037643 \pm 13. \)	\(a_{249}= \pm0.60868719 \pm 22. \)
\(a_{250}= -2.70995438 \pm 16. \)	\(a_{251}= +1.66910759 \pm 41. \)	\(a_{252}= \pm0.13076310 \pm 4.3 \)
\(a_{253}= +0.28694941 \pm 29. \)	\(a_{254}= +0.28688681 \pm 19. \)	\(a_{255}= \pm0.23926298 \pm 7.5 \)
\(a_{256}= -1.61453758 \pm 17. \)	\(a_{257}= -1.39049683 \pm 38. \)	\(a_{258}= \pm0.70131609 \pm 13. \)
\(a_{259}= +0.27849880 \pm 12. \)	\(a_{260}= +3.17091711 \pm 13. \)	\(a_{261}= \pm0.23874434 \pm 15. \)
\(a_{262}= +1.01605709 \pm 13. \)	\(a_{263}= -0.63058802 \pm 27. \)	\(a_{264}= \pm1.11436903 \pm 8.0 \)
\(a_{265}= +2.10750565 \pm 13. \)	\(a_{266}= -0.20790945 \pm 2.0 \)	\(a_{267}= \pm0.02133545 \pm 9.1 \)
\(a_{268}= -0.80338582 \pm 50. \)	\(a_{269}= -1.21401304 \pm 23. \)	\(a_{270}= \pm0.55302027 \pm 2.6 \)
\(a_{271}= +1.25326377 \pm 32. \)	\(a_{272}= -0.10989996 \pm 11. \)	\(a_{273}= \pm0.12838746 \pm 4.6 \)
\(a_{274}= -2.40135060 \pm 21. \)	\(a_{275}= -2.77881368 \pm 12. \)	\(a_{276}= \pm0.20918265 \pm 25. \)
\(a_{277}= -0.31757773 \pm 17. \)	\(a_{278}= +1.68513458 \pm 24. \)	\(a_{279}= \pm0.29152981 \pm 6.8 \)
\(a_{280}= +0.50300000 \pm 6.9 \)	\(a_{281}= +1.14038618 \pm 37. \)	\(a_{282}= \pm0.15536129 \pm 8.9 \)
\(a_{283}= -0.56960203 \pm 51. \)	\(a_{284}= +1.09754320 \pm 31. \)	\(a_{285}= \pm0.56589719 \pm 5.9 \)
\(a_{286}= +2.45204162 \pm 4.9 \)	\(a_{287}= -0.09321411 \pm 20. \)	\(a_{288}= \pm0.19586115 \pm 9.5 \)
\(a_{289}= -0.94164565 \pm 33. \)	\(a_{290}= -2.05815118 \pm 14. \)	\(a_{291}= \pm0.67981756 \pm 21. \)
\(a_{292}= -1.39704258 \pm 15. \)	\(a_{293}= -0.31196892 \pm 55. \)	\(a_{294}= \pm0.92143861 \pm 9.1 \)
\(a_{295}= +1.28855855 \pm 16. \)	\(a_{296}= +1.73016478 \pm 13. \)	\(a_{297}= \pm0.27522727 \pm 4.2 \)
\(a_{298}= -0.75076274 \pm 15. \)	\(a_{299}= -0.20538231 \pm 31. \)	\(a_{300}= \pm2.02572160 \pm 9.5 \)
\(a_{301}= +0.15754448 \pm 29. \)	\(a_{302}= -1.80092418 \pm 14. \)	\(a_{303}= \pm0.59352025 \pm 11. \)
\(a_{304}= -0.25993187 \pm 10. \)	\(a_{305}= +2.28453939 \pm 19. \)	\(a_{306}= \pm0.13487728 \pm 6.5 \)
\(a_{307}= -0.46976113 \pm 16. \)	\(a_{308}= +0.56102192 \pm 8.4 \)	\(a_{309}= \pm0.69690753 \pm 15. \)
\(a_{310}= +2.51320060 \pm 6.8 \)	\(a_{311}= -1.39448617 \pm 51. \)	\(a_{312}= \pm0.79760294 \pm 7.0 \)
\(a_{313}= -0.73896889 \pm 21. \)	\(a_{314}= +2.54927144 \pm 14. \)	\(a_{315}= \pm0.12423113 \pm 2.9 \)
\(a_{316}= -1.33804741 \pm 23. \)	\(a_{317}= -1.56722327 \pm 22. \)	\(a_{318}= \pm1.18804263 \pm 6.9 \)
\(a_{319}= -1.02430122 \pm 28. \)	\(a_{320}= -2.46894419 \pm 16. \)	\(a_{321}= \pm0.68936819 \pm 10. \)
\(a_{322}= -0.07301424 \pm 4.1 \)	\(a_{323}= +0.13801786 \pm 4.7 \)	\(a_{324}= \pm0.20063736 \pm 3.5 \)
\(a_{325}= +1.98891921 \pm 11. \)	\(a_{326}= +2.33280450 \pm 7.5 \)	\(a_{327}= \pm0.25947632 \pm 20. \)
\(a_{328}= -0.57908965 \pm 26. \)	\(a_{329}= -0.03490054 \pm 19. \)	\(a_{330}= \pm2.37266081 \pm 5.5 \)
\(a_{331}= +0.22582149 \pm 20. \)	\(a_{332}= -1.90374641 \pm 33. \)	\(a_{333}= \pm0.42731674 \pm 8.1 \)
\(a_{334}= +1.60968938 \pm 17. \)	\(a_{335}= -0.76325449 \pm 37. \)	\(a_{336}= \pm0.05706271 \pm 4.1 \)
\(a_{337}= -1.20086782 \pm 40. \)	\(a_{338}= -0.08000087 \pm 14. \)	\(a_{339}= \pm0.98014823 \pm 11. \)
\(a_{340}= -0.74832534 \pm 15. \)	\(a_{341}= +1.25077034 \pm 12. \)	\(a_{342}= \pm0.31900744 \pm 1.9 \)
\(a_{343}= +0.42423925 \pm 16. \)	\(a_{344}= +0.97873996 \pm 23. \)	\(a_{345}= \pm0.19873340 \pm 19. \)
\(a_{346}= +0.88929921 \pm 13. \)	\(a_{347}= +0.93489440 \pm 12. \)	\(a_{348}= \pm0.74670322 \pm 24. \)
\(a_{349}= -0.92737208 \pm 54. \)	\(a_{350}= +0.70706878 \pm 10. \)	\(a_{351}= \pm0.19699227 \pm 4.1 \)
\(a_{352}= -0.84031654 \pm 17. \)	\(a_{353}= -1.14358624 \pm 48. \)	\(a_{354}= \pm0.72638595 \pm 11. \)
\(a_{355}= +1.04271789 \pm 24. \)	\(a_{356}= -0.06672934 \pm 11. \)	\(a_{357}= \pm0.03029899 \pm 5.1 \)
\(a_{358}= -1.89946616 \pm 18. \)	\(a_{359}= +0.34133631 \pm 25. \)	\(a_{360}= \pm0.77178186 \pm 4.4 \)
\(a_{361}= -0.67356456 \pm 30. \)	\(a_{362}= -0.20067294 \pm 23. \)	\(a_{363}= \pm0.60347619 \pm 12. \)
\(a_{364}= -0.40154807 \pm 6.0 \)	\(a_{365}= -1.32725646 \pm 11. \)	\(a_{366}= \pm1.28784006 \pm 6.1 \)
\(a_{367}= +0.94864508 \pm 23. \)	\(a_{368}= -0.09128362 \pm 37. \)	\(a_{369}= \pm0.14302377 \pm 15. \)
\(a_{370}= +3.68378346 \pm 21. \)	\(a_{371}= -0.26688330 \pm 11. \)	\(a_{372}= \pm0.91179647 \pm 10. \)
\(a_{373}= +0.75831659 \pm 20. \)	\(a_{374}= -0.57867324 \pm 10. \)	\(a_{375}= \pm0.93406679 \pm 20. \)
\(a_{376}= -0.21681851 \pm 23. \)	\(a_{377}= +0.73313745 \pm 28. \)	\(a_{378}= \pm0.07003154 \pm 2.6 \)
\(a_{379}= -0.45225528 \pm 8.6 \)	\(a_{380}= -1.76991527 \pm 8.7 \)	\(a_{381}= \pm0.09888412 \pm 22. \)
\(a_{382}= -1.82647270 \pm 24. \)	\(a_{383}= +1.53061911 \pm 26. \)	\(a_{384}= \pm1.05255122 \pm 17. \)
\(a_{385}= +0.53299733 \pm 5.7 \)	\(a_{386}= +2.31186968 \pm 18. \)	\(a_{387}= \pm0.24172956 \pm 10. \)
\(a_{388}= -2.12621569 \pm 31. \)	\(a_{389}= -1.74470328 \pm 11. \)	\(a_{390}= \pm1.69821774 \pm 3.3 \)
\(a_{391}= +0.04846951 \pm 14. \)	\(a_{392}= +1.28593768 \pm 21. \)	\(a_{393}= \pm0.35021445 \pm 13. \)
\(a_{394}= -1.40306458 \pm 17. \)	\(a_{395}= -1.27120826 \pm 18. \)	\(a_{396}= \pm0.86080822 \pm 6.4 \)
\(a_{397}= +1.57133359 \pm 42. \)	\(a_{398}= +2.20156785 \pm 15. \)	\(a_{399}= \pm0.07166221 \pm 2.1 \)
\(a_{400}= +0.88398921 \pm 13. \)	\(a_{401}= -0.68740451 \pm 48. \)	\(a_{402}= \pm0.43026166 \pm 10. \)
\(a_{403}= -0.89523136 \pm 12. \)	\(a_{404}= -1.85630988 \pm 16. \)	\(a_{405}= \pm0.19061497 \pm 2.6 \)
\(a_{406}= +0.26063331 \pm 12. \)	\(a_{407}= +1.83334632 \pm 14. \)	\(a_{408}= \pm0.18823150 \pm 4.7 \)
\(a_{409}= +1.63393653 \pm 49. \)	\(a_{410}= -1.23296976 \pm 9.6 \)	\(a_{411}= \pm0.82769727 \pm 23. \)
\(a_{412}= +2.17966672 \pm 25. \)	\(a_{413}= -0.16317620 \pm 34. \)	\(a_{414}= \pm0.11202995 \pm 4.6 \)
\(a_{415}= -1.80864903 \pm 24. \)	\(a_{416}= +0.60145152 \pm 16. \)	\(a_{417}= \pm0.58083201 \pm 15. \)
\(a_{418}= -1.36865952 \pm 4.8 \)	\(a_{419}= -0.27970291 \pm 19. \)	\(a_{420}= \pm0.38854861 \pm 4.2 \)
\(a_{421}= +1.07108199 \pm 53. \)	\(a_{422}= +0.52504612 \pm 14. \)	\(a_{423}= \pm0.05354991 \pm 12. \)
\(a_{424}= -1.65800388 \pm 11. \)	\(a_{425}= -0.46937797 \pm 6.7 \)	\(a_{426}= \pm0.58780071 \pm 9.3 \)
\(a_{427}= -0.28930191 \pm 6.7 \)	\(a_{428}= -2.15608648 \pm 17. \)	\(a_{429}= \pm0.84516945 \pm 7.8 \)
\(a_{430}= +2.08388594 \pm 18. \)	\(a_{431}= -0.33726681 \pm 22. \)	\(a_{432}= \pm0.08755461 \pm 4.9 \)
\(a_{433}= -1.29417350 \pm 43. \)	\(a_{434}= -0.31825835 \pm 8.6 \)	\(a_{435}= \pm0.70940333 \pm 18. \)
\(a_{436}= -0.81154510 \pm 33. \)	\(a_{437}= +0.11463854 \pm 18. \)	\(a_{438}= \pm0.74820073 \pm 7.2 \)
\(a_{439}= +0.84037724 \pm 33. \)	\(a_{440}= +3.31122867 \pm 8.8 \)	\(a_{441}= \pm0.31760136 \pm 11. \)
\(a_{442}= +0.41418190 \pm 5.8 \)	\(a_{443}= +1.93157449 \pm 50. \)	\(a_{444}= \pm1.33648732 \pm 15. \)
\(a_{445}= -0.06339603 \pm 9.5 \)	\(a_{446}= +1.15486419 \pm 12. \)	\(a_{447}= \pm0.25877282 \pm 17. \)
\(a_{448}= +0.31265395 \pm 15. \)	\(a_{449}= -1.48171154 \pm 50. \)	\(a_{450}= \pm1.08489633 \pm 3.2 \)
\(a_{451}= -0.61362471 \pm 28. \)	\(a_{452}= -3.06553795 \pm 14. \)	\(a_{453}= \pm0.62074236 \pm 26. \)
\(a_{454}= -0.00631279 \pm 22. \)	\(a_{455}= -0.38148964 \pm 4.6 \)	\(a_{456}= \pm0.44519916 \pm 4.2 \)
\(a_{457}= +1.08745142 \pm 31. \)	\(a_{458}= -0.16322078 \pm 17. \)	\(a_{459}= \pm0.04648949 \pm 3.1 \)
\(a_{460}= -0.62156393 \pm 31. \)	\(a_{461}= +0.72683516 \pm 15. \)	\(a_{462}= \pm0.30046114 \pm 5.2 \)
\(a_{463}= -0.24166965 \pm 37. \)	\(a_{464}= +0.32584812 \pm 34. \)	\(a_{465}= \pm0.86624972 \pm 7.8 \)
\(a_{466}= +0.04373918 \pm 15. \)	\(a_{467}= +0.35856508 \pm 43. \)	\(a_{468}= \pm0.61611832 \pm 6.5 \)
\(a_{469}= +0.09665449 \pm 17. \)	\(a_{470}= -0.46163951 \pm 13. \)	\(a_{471}= \pm0.87868261 \pm 27. \)
\(a_{472}= -1.01372686 \pm 26. \)	\(a_{473}= +1.03710890 \pm 20. \)	\(a_{474}= \pm0.71660525 \pm 7.8 \)
\(a_{475}= -1.11015783 \pm 6.8 \)	\(a_{476}= +0.09476394 \pm 8.9 \)	\(a_{477}= \pm0.40949441 \pm 6.4 \)
\(a_{478}= +2.04722325 \pm 12. \)	\(a_{479}= +1.57475457 \pm 29. \)	\(a_{480}= \pm0.58198051 \pm 11. \)
\(a_{481}= -1.31220663 \pm 12. \)	\(a_{482}= -1.20357592 \pm 17. \)	\(a_{483}= \pm0.02516654 \pm 6.9 \)
\(a_{484}= +1.88744836 \pm 19. \)	\(a_{485}= -2.02000536 \pm 23. \)	\(a_{486}= \pm0.10745343 \pm 1.1 \)
\(a_{487}= -1.53152204 \pm 20. \)	\(a_{488}= -1.79727877 \pm 13. \)	\(a_{489}= \pm0.80407081 \pm 3.4 \)
\(a_{490}= +2.73795652 \pm 11. \)	\(a_{491}= -0.35727620 \pm 19. \)	\(a_{492}= \pm0.44732500 \pm 24. \)
\(a_{493}= -0.17301787 \pm 18. \)	\(a_{494}= +0.97960984 \pm 3.7 \)	\(a_{495}= \pm0.81780848 \pm 5.1 \)
\(a_{496}= -0.39789191 \pm 14. \)	\(a_{497}= -0.13204425 \pm 23. \)	\(a_{498}= \pm1.01957125 \pm 8.6 \)
\(a_{499}= +1.66716560 \pm 53. \)	\(a_{500}= +2.92141242 \pm 33. \)	\(a_{501}= \pm0.55482757 \pm 12. \)
\(a_{502}= -2.79581062 \pm 14. \)	\(a_{503}= -0.07230714 \pm 50. \)	\(a_{504}= \pm0.09773435 \pm 6.3 \)
\(a_{505}= -1.76358209 \pm 14. \)	\(a_{506}= -0.48064978 \pm 9.1 \)	\(a_{507}= \pm0.02757469 \pm 13. \)
\(a_{508}= -0.30927262 \pm 32. \)	\(a_{509}= -0.48851022 \pm 12. \)	\(a_{510}= \pm0.40077344 \pm 9.8 \)
\(a_{511}= +0.16807670 \pm 5.5 \)	\(a_{512}= +0.88133185 \pm 32. \)	\(a_{513}= \pm0.10995545 \pm 2.5 \)
\(a_{514}= +2.32912836 \pm 15. \)	\(a_{515}= +2.07078637 \pm 19. \)	\(a_{516}= \pm0.75603986 \pm 15. \)
\(a_{517}= -0.22974887 \pm 24. \)	\(a_{518}= -0.46649473 \pm 13. \)	\(a_{519}= \pm0.30652356 \pm 11. \)
\(a_{520}= -2.36999204 \pm 8.6 \)	\(a_{521}= +0.00918249 \pm 46. \)	\(a_{522}= \pm0.39990470 \pm 6.3 \)
\(a_{523}= +1.66527314 \pm 18. \)	\(a_{524}= -1.09534014 \pm 18. \)	\(a_{525}= \pm0.24371239 \pm 9.4 \)
\(a_{526}= +1.05625586 \pm 20. \)	\(a_{527}= +0.21127147 \pm 8.2 \)	\(a_{528}= \pm0.37564154 \pm 9.4 \)
\(a_{529}= -0.95974091 \pm 44. \)	\(a_{530}= -3.53014193 \pm 10. \)	\(a_{531}= \pm0.25037063 \pm 10. \)
\(a_{532}= +0.22413265 \pm 3.2 \)	\(a_{533}= +0.43919821 \pm 29. \)	\(a_{534}= \pm0.03573759 \pm 6.9 \)
\(a_{535}= -2.04838402 \pm 12. \)	\(a_{536}= +0.60046287 \pm 29. \)	\(a_{537}= \pm0.65470780 \pm 17. \)
\(a_{538}= +2.03351215 \pm 10. \)	\(a_{539}= +1.36262693 \pm 21. \)	\(a_{540}= \pm0.59617250 \pm 4.3 \)
\(a_{541}= +0.68084555 \pm 15. \)	\(a_{542}= -2.09925843 \pm 23. \)	\(a_{543}= \pm0.06916793 \pm 20. \)
\(a_{544}= -0.14194045 \pm 19. \)	\(a_{545}= -0.77100619 \pm 24. \)	\(a_{546}= \pm0.21505326 \pm 2.7 \)
\(a_{547}= -1.33959484 \pm 24. \)	\(a_{548}= +2.58872824 \pm 37. \)	\(a_{549}= \pm0.44389258 \pm 8.4 \)
\(a_{550}= +4.65460518 \pm 7.1 \)	\(a_{551}= -0.40921636 \pm 16. \)	\(a_{552}= \pm0.15634632 \pm 14. \)
\(a_{553}= +0.16097905 \pm 18. \)	\(a_{554}= +0.53195324 \pm 13. \)	\(a_{555}= \pm1.26972610 \pm 10. \)
\(a_{556}= -1.81662581 \pm 24. \)	\(a_{557}= -1.19961468 \pm 27. \)	\(a_{558}= \pm0.48832211 \pm 3.1 \)
\(a_{559}= -0.74230447 \pm 15. \)	\(a_{560}= -0.16955577 \pm 5.0 \)	\(a_{561}= \pm0.19945703 \pm 5.3 \)
\(a_{562}= -1.91018470 \pm 12. \)	\(a_{563}= +1.64305465 \pm 48. \)	\(a_{564}= \pm0.16748415 \pm 19. \)
\(a_{565}= -2.91240589 \pm 12. \)	\(a_{566}= +0.95410231 \pm 15. \)	\(a_{567}= \pm0.02413847 \pm 2.2 \)
\(a_{568}= -0.82032061 \pm 23. \)	\(a_{569}= +1.36125200 \pm 26. \)	\(a_{570}= \pm0.94789658 \pm 3.6 \)
\(a_{571}= +1.92718910 \pm 31. \)	\(a_{572}= -2.64337470 \pm 12. \)	\(a_{573}= \pm0.62954842 \pm 14. \)
\(a_{574}= +0.15613673 \pm 12. \)	\(a_{575}= -0.38986842 \pm 25. \)	\(a_{576}= \pm0.47972296 \pm 7.9 \)
\(a_{577}= +1.57819903 \pm 34. \)	\(a_{578}= +1.57728772 \pm 21. \)	\(a_{579}= \pm0.79685500 \pm 24. \)
\(a_{580}= +2.21874894 \pm 29. \)	\(a_{581}= +0.22903769 \pm 25. \)	\(a_{582}= \pm1.13871699 \pm 8.1 \)
\(a_{583}= -1.75688197 \pm 12. \)	\(a_{584}= +1.04417104 \pm 7.8 \)	\(a_{585}= \pm0.58534151 \pm 5.0 \)
\(a_{586}= +0.52255830 \pm 15. \)	\(a_{587}= -1.22658134 \pm 35. \)	\(a_{588}= \pm0.99333857 \pm 17. \)
\(a_{589}= +0.49969255 \pm 7.1 \)	\(a_{590}= -2.15837835 \pm 12. \)	\(a_{591}= \pm0.48360815 \pm 35. \)
\(a_{592}= -0.58321951 \pm 17. \)	\(a_{593}= -0.76587664 \pm 34. \)	\(a_{594}= \pm0.46101482 \pm 2.1 \)
\(a_{595}= +0.09003022 \pm 6.0 \)	\(a_{596}= +0.80934484 \pm 23. \)	\(a_{597}= \pm0.75883618 \pm 13. \)
\(a_{598}= +0.34402220 \pm 8.6 \)	\(a_{599}= -0.62169800 \pm 13. \)	\(a_{600}= \pm1.51405537 \pm 8.3 \)
\(a_{601}= +0.52082098 \pm 21. \)	\(a_{602}= -0.26389223 \pm 20. \)	\(a_{603}= \pm0.14830254 \pm 18. \)
\(a_{604}= +1.94145049 \pm 41. \)	\(a_{605}= +1.79316512 \pm 14. \)	\(a_{606}= \pm0.99416612 \pm 8.6 \)
\(a_{607}= -1.19370262 \pm 52. \)	\(a_{608}= -0.33571304 \pm 10. \)	\(a_{609}= \pm0.08983506 \pm 11. \)
\(a_{610}= -3.82667933 \pm 12. \)	\(a_{611}= +0.16444138 \pm 23. \)	\(a_{612}= \pm0.14540177 \pm 6.1 \)
\(a_{613}= +0.01065525 \pm 29. \)	\(a_{614}= +0.78686549 \pm 12. \)	\(a_{615}= \pm0.42497989 \pm 18. \)
\(a_{616}= -0.41931638 \pm 13. \)	\(a_{617}= +0.03662810 \pm 54. \)	\(a_{618}= \pm1.16734325 \pm 11. \)
\(a_{619}= +0.27083381 \pm 22. \)	\(a_{620}= -2.70930592 \pm 12. \)	\(a_{621}= \pm0.03861447 \pm 9.3 \)
\(a_{622}= +2.33581063 \pm 21. \)	\(a_{623}= +0.00802814 \pm 18. \)	\(a_{624}= \pm0.26886318 \pm 9.4 \)
\(a_{625}= +0.83242042 \pm 13. \)	\(a_{626}= +1.23779742 \pm 22. \)	\(a_{627}= \pm0.47174942 \pm 5.0 \)
\(a_{628}= -2.74819137 \pm 44. \)	\(a_{629}= +0.30967617 \pm 25. \)	\(a_{630}= \pm0.20809126 \pm 2.2 \)
\(a_{631}= -0.34707148 \pm 32. \)	\(a_{632}= +1.00007714 \pm 17. \)	\(a_{633}= \pm0.18097284 \pm 8.0 \)
\(a_{634}= +2.62515101 \pm 9.1 \)	\(a_{635}= -0.29382360 \pm 23. \)	\(a_{636}= \pm1.28074573 \pm 10. \)
\(a_{637}= -0.97529204 \pm 20. \)	\(a_{638}= +1.71573855 \pm 11. \)	\(a_{639}= \pm0.20260309 \pm 12. \)
\(a_{640}= +3.12754366 \pm 21. \)	\(a_{641}= -0.45589581 \pm 13. \)	\(a_{642}= \pm1.15471460 \pm 6.8 \)
\(a_{643}= -0.44219200 \pm 33. \)	\(a_{644}= +0.07871155 \pm 10. \)	\(a_{645}= \pm0.71827359 \pm 11. \)
\(a_{646}= -0.23118449 \pm 4.9 \)	\(a_{647}= +0.32923666 \pm 26. \)	\(a_{648}= \pm0.14995944 \pm 2.3 \)
\(a_{649}= -1.07418231 \pm 20. \)	\(a_{650}= -3.33150571 \pm 4.0 \)	\(a_{651}= \pm0.10969726 \pm 7.4 \)
\(a_{652}= -2.51483348 \pm 6.5 \)	\(a_{653}= +1.10937315 \pm 24. \)	\(a_{654}= \pm0.43463145 \pm 8.8 \)
\(a_{655}= -1.04062488 \pm 13. \)	\(a_{656}= +0.19520475 \pm 35. \)	\(a_{657}= \pm0.25788975 \pm 5.1 \)
\(a_{658}= +0.05845957 \pm 11. \)	\(a_{659}= +1.15458909 \pm 31. \)	\(a_{660}= \pm2.55779980 \pm 7.9 \)
\(a_{661}= -0.28204293 \pm 35. \)	\(a_{662}= -0.37825849 \pm 15. \)	\(a_{663}= \pm0.14276017 \pm 4.0 \)
\(a_{664}= +1.42288924 \pm 25. \)	\(a_{665}= +0.21293661 \pm 2.8 \)	\(a_{666}= \pm0.71576972 \pm 8.2 \)
\(a_{667}= -0.14370978 \pm 66. \)	\(a_{668}= -1.73529362 \pm 22. \)	\(a_{669}= \pm0.39805847 \pm 7.1 \)
\(a_{670}= +1.27847660 \pm 13. \)	\(a_{671}= -1.90446278 \pm 16. \)	\(a_{672}= \pm0.07369892 \pm 10. \)
\(a_{673}= +1.31867254 \pm 26. \)	\(a_{674}= +2.01149346 \pm 17. \)	\(a_{675}= \pm0.37394196 \pm 3.8 \)
\(a_{676}= +0.08624335 \pm 20. \)	\(a_{677}= +0.49528700 \pm 24. \)	\(a_{678}= \pm1.64178083 \pm 9.5 \)
\(a_{679}= +0.25580273 \pm 24. \)	\(a_{680}= +0.55930983 \pm 5.9 \)	\(a_{681}= \pm0.00217589 \pm 27. \)
\(a_{682}= -2.09508185 \pm 6.1 \)	\(a_{683}= -0.62509163 \pm 55. \)	\(a_{684}= \pm0.34389963 \pm 3.9 \)
\(a_{685}= +2.45941414 \pm 28. \)	\(a_{686}= -0.71061482 \pm 11. \)	\(a_{687}= \pm0.05625892 \pm 12. \)
\(a_{688}= -0.32992247 \pm 19. \)	\(a_{689}= +1.25747772 \pm 11. \)	\(a_{690}= \pm0.33288504 \pm 6.2 \)
\(a_{691}= -0.28886440 \pm 44. \)	\(a_{692}= -0.95869133 \pm 18. \)	\(a_{693}= \pm0.10356291 \pm 4.4 \)
\(a_{694}= -1.56597916 \pm 13. \)	\(a_{695}= -1.72588035 \pm 17. \)	\(a_{696}= \pm0.55809743 \pm 14. \)
\(a_{697}= -0.10364924 \pm 13. \)	\(a_{698}= +1.55337903 \pm 20. \)	\(a_{699}= \pm0.01507602 \pm 19. \)
\(a_{700}= -0.76224144 \pm 9.5 \)	\(a_{701}= -0.12126264 \pm 31. \)	\(a_{702}= \pm0.32996859 \pm 1.4 \)
\(a_{703}= +0.73243622 \pm 8.1 \)	\(a_{704}= +2.05818833 \pm 14. \)	\(a_{705}= \pm0.15911786 \pm 15. \)
\(a_{706}= +1.91554492 \pm 23. \)	\(a_{707}= +0.22333065 \pm 18. \)	\(a_{708}= \pm0.78306593 \pm 13. \)
\(a_{709}= -0.72022132 \pm 15. \)	\(a_{710}= -1.74658709 \pm 11. \)	\(a_{711}= \pm0.24699942 \pm 9.0 \)
\(a_{712}= +0.04987453 \pm 14. \)	\(a_{713}= +0.17548346 \pm 27. \)	\(a_{714}= \pm0.05075182 \pm 5.9 \)
\(a_{715}= -2.51133085 \pm 9.8 \)	\(a_{716}= +2.04768171 \pm 28. \)	\(a_{717}= \pm0.70563670 \pm 16. \)
\(a_{718}= -0.57174966 \pm 21. \)	\(a_{719}= -1.55293401 \pm 14. \)	\(a_{720}= \pm0.26015917 \pm 6.3 \)
\(a_{721}= -0.26223337 \pm 15. \)	\(a_{722}= +1.12824300 \pm 15. \)	\(a_{723}= \pm0.41484842 \pm 16. \)
\(a_{724}= +0.21633148 \pm 33. \)	\(a_{725}= +1.39168330 \pm 24. \)	\(a_{726}= \pm1.01084266 \pm 6.3 \)
\(a_{727}= -0.05592298 \pm 14. \)	\(a_{728}= +0.30012318 \pm 6.9 \)	\(a_{729}= \pm0.03703704 \pm 1.0 \cdot 10^{-8} \)
\(a_{730}= +2.22319864 \pm 10. \)	\(a_{731}= +0.17518126 \pm 20. \)	\(a_{732}= \pm1.38833036 \pm 13. \)
\(a_{733}= +0.46213009 \pm 61. \)	\(a_{734}= -1.58901200 \pm 13. \)	\(a_{735}= \pm0.94371857 \pm 12. \)
\(a_{736}= -0.11789667 \pm 35. \)	\(a_{737}= +0.63627257 \pm 33. \)	\(a_{738}= \pm0.23956957 \pm 5.0 \)
\(a_{739}= +0.32757114 \pm 36. \)	\(a_{740}= -3.97122948 \pm 20. \)	\(a_{741}= \pm0.33765182 \pm 5.6 \)
\(a_{742}= +0.44703839 \pm 8.5 \)	\(a_{743}= -1.48623207 \pm 50. \)	\(a_{744}= \pm0.68149065 \pm 7.5 \)
\(a_{745}= +0.76891584 \pm 17. \)	\(a_{746}= -1.27020547 \pm 11. \)	\(a_{747}= \pm0.35142571 \pm 12. \)
\(a_{748}= +0.62382718 \pm 10. \)	\(a_{749}= +0.25939645 \pm 9.1 \)	\(a_{750}= \pm1.56459289 \pm 9.6 \)
\(a_{751}= -1.55693648 \pm 28. \)	\(a_{752}= +0.07308713 \pm 29. \)	\(a_{753}= \pm0.96365971 \pm 24. \)
\(a_{754}= -1.22802957 \pm 8.9 \)	\(a_{755}= +1.84446969 \pm 31. \)	\(a_{756}= \pm0.07549611 \pm 2.5 \)
\(a_{757}= +0.91069750 \pm 9.8 \)	\(a_{758}= +0.75754260 \pm 9.2 \)	\(a_{759}= \pm0.16567032 \pm 17. \)
\(a_{760}= +1.32286179 \pm 6.2 \)	\(a_{761}= +1.30633362 \pm 55. \)	\(a_{762}= \pm0.16563418 \pm 11. \)
\(a_{763}= +0.09763612 \pm 13. \)	\(a_{764}= +1.96899256 \pm 20. \)	\(a_{765}= \pm0.13813855 \pm 4.3 \)
\(a_{766}= -2.56383783 \pm 10. \)	\(a_{767}= +0.76883954 \pm 15. \)	\(a_{768}= \pm0.93215371 \pm 10. \)
\(a_{769}= +1.55126985 \pm 29. \)	\(a_{770}= -0.89278822 \pm 4.3 \)	\(a_{771}= \pm0.80280372 \pm 22. \)
\(a_{772}= -2.49226513 \pm 39. \)	\(a_{773}= -1.24666943 \pm 26. \)	\(a_{774}= \pm0.40490503 \pm 7.7 \)
\(a_{775}= -1.69937920 \pm 12. \)	\(a_{776}= +1.58916619 \pm 23. \)	\(a_{777}= \pm0.16079136 \pm 7.4 \)
\(a_{778}= +2.92243592 \pm 9.1 \)	\(a_{779}= -0.24514788 \pm 17. \)	\(a_{780}= \pm1.83072985 \pm 8.0 \)
\(a_{781}= -0.86924192 \pm 23. \)	\(a_{782}= -0.08118803 \pm 6.4 \)	\(a_{783}= \pm0.13783911 \pm 8.8 \)
\(a_{784}= -0.43347544 \pm 24. \)	\(a_{785}= -2.61091164 \pm 34. \)	\(a_{786}= \pm0.58662084 \pm 7.5 \)
\(a_{787}= -0.45005024 \pm 53. \)	\(a_{788}= +1.51254586 \pm 57. \)	\(a_{789}= \pm0.36407016 \pm 15. \)
\(a_{790}= +2.12931604 \pm 11. \)	\(a_{791}= +0.36881158 \pm 23. \)	\(a_{792}= \pm0.64338126 \pm 4.6 \)
\(a_{793}= +1.36310780 \pm 16. \)	\(a_{794}= -2.63203593 \pm 16. \)	\(a_{795}= \pm1.21676895 \pm 7.8 \)
\(a_{796}= -2.37335643 \pm 23. \)	\(a_{797}= +0.20352430 \pm 12. \)	\(a_{798}= \pm0.12003658 \pm 1.1 \)
\(a_{799}= -0.03880759 \pm 12. \)	\(a_{800}= +1.14170955 \pm 16. \)	\(a_{801}= \pm0.01231803 \pm 5.3 \)
\(a_{802}= +1.15142538 \pm 14. \)	\(a_{803}= +1.10644208 \pm 9.3 \)	\(a_{804}= \pm0.46383502 \pm 29. \)
\(a_{805}= +0.07477969 \pm 8.3 \)	\(a_{806}= +1.49954225 \pm 4.1 \)	\(a_{807}= \pm0.70091076 \pm 13. \)
\(a_{808}= +1.38743445 \pm 15. \)	\(a_{809}= +0.70425037 \pm 31. \)	\(a_{810}= \pm0.31928640 \pm 1.5 \)
\(a_{811}= +0.19704050 \pm 13. \)	\(a_{812}= -0.28097056 \pm 14. \)	\(a_{813}= \pm0.72357218 \pm 18. \)
\(a_{814}= -3.07091596 \pm 13. \)	\(a_{815}= -2.38921063 \pm 5.6 \)	\(a_{816}= \pm0.06345077 \pm 6.4 \)
\(a_{817}= +0.41433313 \pm 9.6 \)	\(a_{818}= -2.73689794 \pm 17. \)	\(a_{819}= \pm0.07412453 \pm 2.6 \)
\(a_{820}= +1.32917852 \pm 29. \)	\(a_{821}= +1.38767095 \pm 38. \)	\(a_{822}= \pm1.38642041 \pm 12. \)
\(a_{823}= +1.84896038 \pm 16. \)	\(a_{824}= -1.62911631 \pm 15. \)	\(a_{825}= \pm1.60434883 \pm 7.5 \)
\(a_{826}= +0.27332555 \pm 23. \)	\(a_{827}= -1.11329588 \pm 25. \)	\(a_{828}= \pm0.12077166 \pm 14. \)
\(a_{829}= -1.06153344 \pm 38. \)	\(a_{830}= +3.02954718 \pm 8.0 \)	\(a_{831}= \pm0.18335359 \pm 10. \)
\(a_{832}= -1.47313594 \pm 12. \)	\(a_{833}= +0.23016551 \pm 13. \)	\(a_{834}= \pm0.97291290 \pm 14. \)
\(a_{835}= -1.64861092 \pm 16. \)	\(a_{836}= +1.47545617 \pm 7.4 \)	\(a_{837}= \pm0.16831481 \pm 3.9 \)
\(a_{838}= +0.46851167 \pm 8.3 \)	\(a_{839}= -0.01402576 \pm 17. \)	\(a_{840}= \pm0.29040719 \pm 4.0 \)
\(a_{841}= -0.48701026 \pm 28. \)	\(a_{842}= -1.79409789 \pm 25. \)	\(a_{843}= \pm0.65840227 \pm 21. \)
\(a_{844}= -0.56601552 \pm 14. \)	\(a_{845}= +0.08193526 \pm 16. \)	\(a_{846}= \pm0.08969789 \pm 5.1 \)
\(a_{847}= -0.22707689 \pm 10. \)	\(a_{848}= +0.55889487 \pm 14. \)	\(a_{849}= \pm0.32885988 \pm 29. \)
\(a_{850}= +0.78622369 \pm 5.4 \)	\(a_{851}= +0.25721906 \pm 27. \)	\(a_{852}= \pm0.63366686 \pm 18. \)
\(a_{853}= +0.92558348 \pm 42. \)	\(a_{854}= +0.48459031 \pm 3.0 \)	\(a_{855}= \pm0.32672090 \pm 3.4 \)
\(a_{856}= +1.61149207 \pm 10. \)	\(a_{857}= +0.61980593 \pm 24. \)	\(a_{858}= \pm1.41568689 \pm 2.8 \)
\(a_{859}= +0.73816477 \pm 27. \)	\(a_{860}= -2.24649178 \pm 18. \)	\(a_{861}= \pm0.05381719 \pm 12. \)
\(a_{862}= +0.56493310 \pm 16. \)	\(a_{863}= -0.23685143 \pm 39. \)	\(a_{864}= \pm0.11308049 \pm 5.5 \)
\(a_{865}= -0.91080206 \pm 14. \)	\(a_{866}= +2.16778358 \pm 21. \)	\(a_{867}= \pm0.54365937 \pm 19. \)
\(a_{868}= +0.34309208 \pm 8.1 \)	\(a_{869}= +1.05971857 \pm 17. \)	\(a_{870}= \pm1.18827414 \pm 8.1 \)
\(a_{871}= -0.45540827 \pm 35. \)	\(a_{872}= +0.60656125 \pm 19. \)	\(a_{873}= \pm0.39249285 \pm 12. \)
\(a_{874}= -0.19202335 \pm 5.8 \)	\(a_{875}= -0.35147200 \pm 14. \)	\(a_{876}= \pm0.80658291 \pm 9.0 \)
\(a_{877}= +0.46880748 \pm 21. \)	\(a_{878}= -1.40765979 \pm 15. \)	\(a_{879}= \pm0.18011534 \pm 32. \)
\(a_{880}= -1.11617875 \pm 12. \)	\(a_{881}= -0.30957094 \pm 52. \)	\(a_{882}= \pm0.53199283 \pm 5.2 \)
\(a_{883}= -0.76099775 \pm 8.7 \)	\(a_{884}= -0.44650056 \pm 7.2 \)	\(a_{885}= \pm0.74394963 \pm 9.7 \)
\(a_{886}= -3.23545139 \pm 27. \)	\(a_{887}= +0.39201127 \pm 43. \)	\(a_{888}= \pm0.99891110 \pm 7.6 \)
\(a_{889}= +0.03720826 \pm 34. \)	\(a_{890}= +0.10619045 \pm 9.1 \)	\(a_{891}= \pm0.15890254 \pm 2.4 \)
\(a_{892}= -1.24497836 \pm 12. \)	\(a_{893}= -0.09178647 \pm 15. \)	\(a_{894}= \pm0.43345307 \pm 9.0 \)
\(a_{895}= +1.94539437 \pm 21. \)	\(a_{896}= -0.39605549 \pm 10. \)	\(a_{897}= \pm0.11857753 \pm 18. \)
\(a_{898}= +2.48191602 \pm 23. \)	\(a_{899}= -0.62640983 \pm 26. \)	\(a_{900}= \pm1.16955091 \pm 5.4 \)
\(a_{901}= -0.29676034 \pm 11. \)	\(a_{902}= +1.02784177 \pm 9.8 \)	\(a_{903}= \pm0.09095835 \pm 16. \)
\(a_{904}= +2.29123004 \pm 17. \)	\(a_{905}= +0.20552512 \pm 26. \)	\(a_{906}= \pm1.03976406 \pm 8.3 \)
\(a_{907}= -1.15220075 \pm 62. \)	\(a_{908}= +0.00680538 \pm 45. \)	\(a_{909}= \pm0.34266907 \pm 6.7 \)
\(a_{910}= +0.63900781 \pm 2.5 \)	\(a_{911}= -1.59645715 \pm 44. \)	\(a_{912}= \pm0.15007174 \pm 5.9 \)
\(a_{913}= +1.50774584 \pm 24. \)	\(a_{914}= -1.82151724 \pm 19. \)	\(a_{915}= \pm1.31897943 \pm 11. \)
\(a_{916}= +0.17595692 \pm 16. \)	\(a_{917}= +0.13177920 \pm 22. \)	\(a_{918}= \pm0.07787143 \pm 3.7 \)
\(a_{919}= +0.53878008 \pm 23. \)	\(a_{920}= +0.46456640 \pm 17. \)	\(a_{921}= \pm0.27121672 \pm 9.2 \)
\(a_{922}= -1.21747303 \pm 8.3 \)	\(a_{923}= +0.62215469 \pm 21. \)	\(a_{924}= \pm0.32390616 \pm 4.9 \)
\(a_{925}= -2.49090541 \pm 11. \)	\(a_{926}= +0.40480469 \pm 19. \)	\(a_{927}= \pm0.40235975 \pm 8.7 \)
\(a_{928}= +0.42084667 \pm 35. \)	\(a_{929}= +1.21734868 \pm 33. \)	\(a_{930}= \pm1.45099704 \pm 3.9 \)
\(a_{931}= +0.54438013 \pm 12. \)	\(a_{932}= -0.04715216 \pm 31. \)	\(a_{933}= \pm0.80510696 \pm 29. \)
\(a_{934}= -0.60060841 \pm 19. \)	\(a_{935}= +0.59266529 \pm 7.4 \)	\(a_{936}= \pm0.46049627 \pm 4.0 \)
\(a_{937}= +0.12271491 \pm 23. \)	\(a_{938}= -0.16189947 \pm 9.9 \)	\(a_{939}= \pm0.42664389 \pm 12. \)
\(a_{940}= +0.49766129 \pm 23. \)	\(a_{941}= -0.99814391 \pm 25. \)	\(a_{942}= \pm1.47182255 \pm 8.6 \)
\(a_{943}= -0.08609174 \pm 68. \)	\(a_{944}= +0.34171617 \pm 15. \)	\(a_{945}= \pm0.07172487 \pm 1.6 \)
\(a_{946}= -1.73719185 \pm 14. \)	\(a_{947}= +1.02006142 \pm 17. \)	\(a_{948}= \pm0.77252203 \pm 13. \)
\(a_{949}= -0.79192928 \pm 9.2 \)	\(a_{950}= +1.85955123 \pm 3.6 \)	\(a_{951}= \pm0.90483678 \pm 12. \)
\(a_{952}= -0.07082802 \pm 6.7 \)	\(a_{953}= +0.61249923 \pm 60. \)	\(a_{954}= \pm0.68591673 \pm 4.0 \)
\(a_{955}= +1.87063596 \pm 14. \)	\(a_{956}= -2.20696831 \pm 25. \)	\(a_{957}= \pm0.59138059 \pm 16. \)
\(a_{958}= -2.63776619 \pm 17. \)	\(a_{959}= -0.31144712 \pm 19. \)	\(a_{960}= \pm1.42544559 \pm 9.6 \)
\(a_{961}= -0.23509334 \pm 23. \)	\(a_{962}= +2.19798966 \pm 7.8 \)	\(a_{963}= \pm0.39800691 \pm 5.9 \)
\(a_{964}= +1.29749108 \pm 24. \)	\(a_{965}= -2.36776962 \pm 30. \)	\(a_{966}= \pm0.04215479 \pm 2.4 \)
\(a_{967}= -1.19963081 \pm 60. \)	\(a_{968}= -1.41070783 \pm 12. \)	\(a_{969}= \pm0.07968465 \pm 2.7 \)
\(a_{970}= +3.38357604 \pm 7.7 \)	\(a_{971}= +0.62234449 \pm 55. \)	\(a_{972}= \pm0.11583803 \pm 2.0 \)
\(a_{973}= +0.21855630 \pm 27. \)	\(a_{974}= +2.56535026 \pm 10. \)	\(a_{975}= \pm1.14830304 \pm 6.5 \)
\(a_{976}= +0.60584290 \pm 20. \)	\(a_{977}= +0.16984646 \pm 33. \)	\(a_{978}= \pm1.34684530 \pm 4.3 \)
\(a_{979}= +0.05284889 \pm 10. \)	\(a_{980}= -2.95159957 \pm 20. \)	\(a_{981}= \pm0.14980872 \pm 11. \)
\(a_{982}= +0.59844950 \pm 10. \)	\(a_{983}= +0.16138744 \pm 14. \)	\(a_{984}= \pm0.33433756 \pm 15. \)
\(a_{985}= +1.43699003 \pm 43. \)	\(a_{986}= +0.28981068 \pm 20. \)	\(a_{987}= \pm0.02014984 \pm 11. \)
\(a_{988}= -1.05604890 \pm 8.5 \)	\(a_{989}= +0.14550670 \pm 32. \)	\(a_{990}= \pm1.36985636 \pm 3.1 \)
\(a_{991}= -1.54981148 \pm 40. \)	\(a_{992}= -0.51389428 \pm 16. \)	\(a_{993}= \pm0.13037810 \pm 11. \)
\(a_{994}= +0.22117849 \pm 15. \)	\(a_{995}= -2.25480074 \pm 17. \)	\(a_{996}= \pm1.09912850 \pm 19. \)
\(a_{997}= +0.55388057 \pm 49. \)	\(a_{998}= -2.79255772 \pm 20. \)	\(a_{999}= \pm0.24671143 \pm 4.7 \)
\(a_{1000}= -2.18350841 \pm 19. \)

Displaying $a_n$ with $n$ up to: