Properties

Label 547.2.o.a.4.9
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.95847 - 0.0225384i) q^{2} +(0.189262 - 0.829210i) q^{3} +(1.83561 + 0.0422546i) q^{4} +(0.0364523 - 0.0684934i) q^{5} +(-0.389352 + 1.61971i) q^{6} +(1.35863 + 3.34794i) q^{7} +(0.320834 + 0.0110806i) q^{8} +(2.05114 + 0.987776i) q^{9} +O(q^{10})\) \(q+(-1.95847 - 0.0225384i) q^{2} +(0.189262 - 0.829210i) q^{3} +(1.83561 + 0.0422546i) q^{4} +(0.0364523 - 0.0684934i) q^{5} +(-0.389352 + 1.61971i) q^{6} +(1.35863 + 3.34794i) q^{7} +(0.320834 + 0.0110806i) q^{8} +(2.05114 + 0.987776i) q^{9} +(-0.0729343 + 0.133320i) q^{10} +(-3.41775 - 3.55826i) q^{11} +(0.382448 - 1.51411i) q^{12} +(4.19753 + 0.632676i) q^{13} +(-2.58538 - 6.58744i) q^{14} +(-0.0498964 - 0.0431898i) q^{15} +(-4.29639 - 0.197906i) q^{16} +(-0.899167 + 5.33861i) q^{17} +(-3.99482 - 1.98075i) q^{18} +(-6.01202 + 3.24413i) q^{19} +(0.0698062 - 0.124187i) q^{20} +(3.03328 - 0.492956i) q^{21} +(6.61336 + 7.04576i) q^{22} +(-7.76432 - 1.81922i) q^{23} +(0.0699098 - 0.263942i) q^{24} +(2.78942 + 4.14234i) q^{25} +(-8.20646 - 1.33368i) q^{26} +(2.79817 - 3.50880i) q^{27} +(2.35245 + 6.20291i) q^{28} +(5.05101 + 2.87758i) q^{29} +(0.0967469 + 0.0857103i) q^{30} +(0.458829 + 0.165010i) q^{31} +(7.76888 + 0.447503i) q^{32} +(-3.59740 + 2.16059i) q^{33} +(1.88131 - 10.4352i) q^{34} +(0.278837 + 0.0289826i) q^{35} +(3.72335 + 1.89984i) q^{36} +(2.68788 - 2.16893i) q^{37} +(11.8474 - 6.21802i) q^{38} +(1.31905 - 3.36090i) q^{39} +(0.0124541 - 0.0215711i) q^{40} +(3.72040 + 6.44392i) q^{41} +(-5.95169 + 0.897073i) q^{42} +(-0.343626 + 3.50181i) q^{43} +(-6.12330 - 6.67598i) q^{44} +(0.142425 - 0.104483i) q^{45} +(15.1652 + 3.73788i) q^{46} +(2.28768 - 0.184681i) q^{47} +(-0.977248 + 3.52516i) q^{48} +(-4.34238 + 4.21921i) q^{49} +(-5.36962 - 8.17549i) q^{50} +(4.25665 + 1.75599i) q^{51} +(7.67829 + 1.33871i) q^{52} +(2.97238 - 1.03049i) q^{53} +(-5.55921 + 6.80880i) q^{54} +(-0.368302 + 0.104387i) q^{55} +(0.398799 + 1.08919i) q^{56} +(1.55222 + 5.59921i) q^{57} +(-9.82738 - 5.74949i) q^{58} +(11.7967 - 5.02609i) q^{59} +(-0.0897652 - 0.0813878i) q^{60} +(-7.76817 + 3.63143i) q^{61} +(-0.894882 - 0.333507i) q^{62} +(-0.520267 + 8.20911i) q^{63} +(-6.62360 - 0.458062i) q^{64} +(0.196344 - 0.264441i) q^{65} +(7.09407 - 4.15037i) q^{66} +(8.23950 + 8.00580i) q^{67} +(-1.87610 + 9.76160i) q^{68} +(-2.97801 + 6.09395i) q^{69} +(-0.545439 - 0.0630459i) q^{70} +(-10.6137 + 2.10326i) q^{71} +(0.647130 + 0.339640i) q^{72} +(-6.60948 + 5.72109i) q^{73} +(-5.31300 + 4.18719i) q^{74} +(3.96280 - 1.52903i) q^{75} +(-11.1728 + 5.70092i) q^{76} +(7.26936 - 16.2768i) q^{77} +(-2.65907 + 6.55247i) q^{78} +(9.61658 + 6.88591i) q^{79} +(-0.170168 + 0.287060i) q^{80} +(1.87835 + 2.35537i) q^{81} +(-7.14104 - 12.7040i) q^{82} +(3.15264 + 1.99361i) q^{83} +(5.58875 - 0.776705i) q^{84} +(0.332883 + 0.256192i) q^{85} +(0.751905 - 6.85042i) q^{86} +(3.34208 - 3.64374i) q^{87} +(-1.05711 - 1.17948i) q^{88} +(-0.534989 - 6.18324i) q^{89} +(-0.281289 + 0.201416i) q^{90} +(3.58475 + 14.9127i) q^{91} +(-14.1754 - 3.66745i) q^{92} +(0.223667 - 0.349236i) q^{93} +(-4.48451 + 0.310130i) q^{94} +(0.00304979 + 0.530039i) q^{95} +(1.84143 - 6.35734i) q^{96} +(-2.04444 - 15.3583i) q^{97} +(8.59949 - 8.16531i) q^{98} +(-3.49552 - 10.6745i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.95847 0.0225384i −1.38484 0.0159370i −0.684120 0.729369i \(-0.739814\pi\)
−0.700724 + 0.713432i \(0.747140\pi\)
\(3\) 0.189262 0.829210i 0.109270 0.478745i −0.890450 0.455082i \(-0.849610\pi\)
0.999720 0.0236629i \(-0.00753284\pi\)
\(4\) 1.83561 + 0.0422546i 0.917804 + 0.0211273i
\(5\) 0.0364523 0.0684934i 0.0163020 0.0306312i −0.874484 0.485055i \(-0.838800\pi\)
0.890786 + 0.454424i \(0.150155\pi\)
\(6\) −0.389352 + 1.61971i −0.158952 + 0.661245i
\(7\) 1.35863 + 3.34794i 0.513516 + 1.26540i 0.933730 + 0.357977i \(0.116534\pi\)
−0.420215 + 0.907425i \(0.638045\pi\)
\(8\) 0.320834 + 0.0110806i 0.113432 + 0.00391757i
\(9\) 2.05114 + 0.987776i 0.683712 + 0.329259i
\(10\) −0.0729343 + 0.133320i −0.0230638 + 0.0421596i
\(11\) −3.41775 3.55826i −1.03049 1.07286i −0.997302 0.0734066i \(-0.976613\pi\)
−0.0331898 0.999449i \(-0.510567\pi\)
\(12\) 0.382448 1.51411i 0.110403 0.437085i
\(13\) 4.19753 + 0.632676i 1.16419 + 0.175473i 0.702575 0.711610i \(-0.252033\pi\)
0.461611 + 0.887082i \(0.347272\pi\)
\(14\) −2.58538 6.58744i −0.690972 1.76057i
\(15\) −0.0498964 0.0431898i −0.0128832 0.0111516i
\(16\) −4.29639 0.197906i −1.07410 0.0494764i
\(17\) −0.899167 + 5.33861i −0.218080 + 1.29480i 0.634792 + 0.772683i \(0.281086\pi\)
−0.852872 + 0.522120i \(0.825141\pi\)
\(18\) −3.99482 1.98075i −0.941588 0.466868i
\(19\) −6.01202 + 3.24413i −1.37925 + 0.744255i −0.984641 0.174594i \(-0.944139\pi\)
−0.394610 + 0.918849i \(0.629120\pi\)
\(20\) 0.0698062 0.124187i 0.0156092 0.0277690i
\(21\) 3.03328 0.492956i 0.661917 0.107572i
\(22\) 6.61336 + 7.04576i 1.40997 + 1.50216i
\(23\) −7.76432 1.81922i −1.61897 0.379334i −0.682726 0.730675i \(-0.739206\pi\)
−0.936248 + 0.351341i \(0.885726\pi\)
\(24\) 0.0699098 0.263942i 0.0142703 0.0538769i
\(25\) 2.78942 + 4.14234i 0.557884 + 0.828468i
\(26\) −8.20646 1.33368i −1.60942 0.261556i
\(27\) 2.79817 3.50880i 0.538509 0.675269i
\(28\) 2.35245 + 6.20291i 0.444572 + 1.17224i
\(29\) 5.05101 + 2.87758i 0.937950 + 0.534354i 0.885689 0.464280i \(-0.153687\pi\)
0.0522613 + 0.998633i \(0.483357\pi\)
\(30\) 0.0967469 + 0.0857103i 0.0176635 + 0.0156485i
\(31\) 0.458829 + 0.165010i 0.0824082 + 0.0296366i 0.379293 0.925277i \(-0.376167\pi\)
−0.296884 + 0.954913i \(0.595948\pi\)
\(32\) 7.76888 + 0.447503i 1.37336 + 0.0791080i
\(33\) −3.59740 + 2.16059i −0.626226 + 0.376111i
\(34\) 1.88131 10.4352i 0.322642 1.78963i
\(35\) 0.278837 + 0.0289826i 0.0471321 + 0.00489895i
\(36\) 3.72335 + 1.89984i 0.620558 + 0.316640i
\(37\) 2.68788 2.16893i 0.441884 0.356569i −0.381197 0.924494i \(-0.624488\pi\)
0.823081 + 0.567925i \(0.192253\pi\)
\(38\) 11.8474 6.21802i 1.92191 1.00870i
\(39\) 1.31905 3.36090i 0.211218 0.538174i
\(40\) 0.0124541 0.0215711i 0.00196916 0.00341069i
\(41\) 3.72040 + 6.44392i 0.581029 + 1.00637i 0.995358 + 0.0962442i \(0.0306830\pi\)
−0.414329 + 0.910127i \(0.635984\pi\)
\(42\) −5.95169 + 0.897073i −0.918366 + 0.138421i
\(43\) −0.343626 + 3.50181i −0.0524025 + 0.534020i 0.932531 + 0.361089i \(0.117595\pi\)
−0.984934 + 0.172931i \(0.944676\pi\)
\(44\) −6.12330 6.67598i −0.923123 1.00644i
\(45\) 0.142425 0.104483i 0.0212314 0.0155754i
\(46\) 15.1652 + 3.73788i 2.23598 + 0.551120i
\(47\) 2.28768 0.184681i 0.333693 0.0269384i 0.0875150 0.996163i \(-0.472107\pi\)
0.246178 + 0.969225i \(0.420825\pi\)
\(48\) −0.977248 + 3.52516i −0.141054 + 0.508812i
\(49\) −4.34238 + 4.21921i −0.620340 + 0.602745i
\(50\) −5.36962 8.17549i −0.759379 1.15619i
\(51\) 4.25665 + 1.75599i 0.596051 + 0.245888i
\(52\) 7.67829 + 1.33871i 1.06479 + 0.185646i
\(53\) 2.97238 1.03049i 0.408288 0.141549i −0.115681 0.993286i \(-0.536905\pi\)
0.523969 + 0.851737i \(0.324451\pi\)
\(54\) −5.55921 + 6.80880i −0.756513 + 0.926560i
\(55\) −0.368302 + 0.104387i −0.0496619 + 0.0140755i
\(56\) 0.398799 + 1.08919i 0.0532918 + 0.145549i
\(57\) 1.55222 + 5.59921i 0.205597 + 0.741634i
\(58\) −9.82738 5.74949i −1.29040 0.754945i
\(59\) 11.7967 5.02609i 1.53579 0.654341i 0.552033 0.833822i \(-0.313852\pi\)
0.983761 + 0.179482i \(0.0574420\pi\)
\(60\) −0.0897652 0.0813878i −0.0115886 0.0105071i
\(61\) −7.76817 + 3.63143i −0.994612 + 0.464957i −0.851277 0.524717i \(-0.824171\pi\)
−0.143335 + 0.989674i \(0.545783\pi\)
\(62\) −0.894882 0.333507i −0.113650 0.0423555i
\(63\) −0.520267 + 8.20911i −0.0655475 + 1.03425i
\(64\) −6.62360 0.458062i −0.827951 0.0572577i
\(65\) 0.196344 0.264441i 0.0243535 0.0327998i
\(66\) 7.09407 4.15037i 0.873220 0.510875i
\(67\) 8.23950 + 8.00580i 1.00662 + 0.978065i 0.999760 0.0219118i \(-0.00697530\pi\)
0.00685555 + 0.999977i \(0.497818\pi\)
\(68\) −1.87610 + 9.76160i −0.227510 + 1.18377i
\(69\) −2.97801 + 6.09395i −0.358510 + 0.733625i
\(70\) −0.545439 0.0630459i −0.0651925 0.00753542i
\(71\) −10.6137 + 2.10326i −1.25961 + 0.249611i −0.778834 0.627230i \(-0.784188\pi\)
−0.480780 + 0.876841i \(0.659646\pi\)
\(72\) 0.647130 + 0.339640i 0.0762650 + 0.0400270i
\(73\) −6.60948 + 5.72109i −0.773581 + 0.669603i −0.949136 0.314866i \(-0.898040\pi\)
0.175555 + 0.984470i \(0.443828\pi\)
\(74\) −5.31300 + 4.18719i −0.617623 + 0.486751i
\(75\) 3.96280 1.52903i 0.457585 0.176557i
\(76\) −11.1728 + 5.70092i −1.28161 + 0.653940i
\(77\) 7.26936 16.2768i 0.828420 1.85491i
\(78\) −2.65907 + 6.55247i −0.301081 + 0.741921i
\(79\) 9.61658 + 6.88591i 1.08195 + 0.774726i 0.975590 0.219602i \(-0.0704759\pi\)
0.106360 + 0.994328i \(0.466080\pi\)
\(80\) −0.170168 + 0.287060i −0.0190254 + 0.0320943i
\(81\) 1.87835 + 2.35537i 0.208705 + 0.261708i
\(82\) −7.14104 12.7040i −0.788596 1.40293i
\(83\) 3.15264 + 1.99361i 0.346048 + 0.218827i 0.696170 0.717877i \(-0.254886\pi\)
−0.350123 + 0.936704i \(0.613860\pi\)
\(84\) 5.58875 0.776705i 0.609782 0.0847454i
\(85\) 0.332883 + 0.256192i 0.0361062 + 0.0277879i
\(86\) 0.751905 6.85042i 0.0810800 0.738700i
\(87\) 3.34208 3.64374i 0.358309 0.390649i
\(88\) −1.05711 1.17948i −0.112688 0.125733i
\(89\) −0.534989 6.18324i −0.0567087 0.655422i −0.969192 0.246308i \(-0.920783\pi\)
0.912483 0.409115i \(-0.134162\pi\)
\(90\) −0.281289 + 0.201416i −0.0296504 + 0.0212311i
\(91\) 3.58475 + 14.9127i 0.375784 + 1.56327i
\(92\) −14.1754 3.66745i −1.47789 0.382358i
\(93\) 0.223667 0.349236i 0.0231932 0.0362141i
\(94\) −4.48451 + 0.310130i −0.462541 + 0.0319875i
\(95\) 0.00304979 + 0.530039i 0.000312902 + 0.0543809i
\(96\) 1.84143 6.35734i 0.187940 0.648843i
\(97\) −2.04444 15.3583i −0.207581 1.55940i −0.715882 0.698221i \(-0.753975\pi\)
0.508301 0.861179i \(-0.330274\pi\)
\(98\) 8.59949 8.16531i 0.868680 0.824821i
\(99\) −3.49552 10.6745i −0.351313 1.07282i
\(100\) 4.94525 + 7.72157i 0.494525 + 0.772157i
\(101\) −4.17392 5.62155i −0.415321 0.559365i 0.544938 0.838477i \(-0.316553\pi\)
−0.960259 + 0.279112i \(0.909960\pi\)
\(102\) −8.29693 3.53499i −0.821518 0.350016i
\(103\) 1.25726 + 2.73030i 0.123881 + 0.269024i 0.960249 0.279144i \(-0.0900507\pi\)
−0.836368 + 0.548168i \(0.815325\pi\)
\(104\) 1.33970 + 0.249495i 0.131369 + 0.0244650i
\(105\) 0.0768058 0.225729i 0.00749548 0.0220289i
\(106\) −5.84453 + 1.95119i −0.567671 + 0.189517i
\(107\) −7.09076 + 1.74772i −0.685490 + 0.168958i −0.566654 0.823956i \(-0.691762\pi\)
−0.118836 + 0.992914i \(0.537916\pi\)
\(108\) 5.28461 6.32254i 0.508512 0.608387i
\(109\) 7.30694 + 14.1190i 0.699878 + 1.35236i 0.925726 + 0.378196i \(0.123455\pi\)
−0.225848 + 0.974163i \(0.572515\pi\)
\(110\) 0.723660 0.196137i 0.0689982 0.0187009i
\(111\) −1.28978 2.63931i −0.122421 0.250512i
\(112\) −5.17465 14.6529i −0.488958 1.38457i
\(113\) −0.149064 5.17994i −0.0140227 0.487288i −0.976449 0.215746i \(-0.930782\pi\)
0.962427 0.271542i \(-0.0875335\pi\)
\(114\) −2.91377 11.0008i −0.272900 1.03032i
\(115\) −0.407632 + 0.465490i −0.0380119 + 0.0434072i
\(116\) 9.15009 + 5.49554i 0.849565 + 0.510248i
\(117\) 7.98477 + 5.44393i 0.738193 + 0.503291i
\(118\) −23.2166 + 9.57754i −2.13726 + 0.881684i
\(119\) −19.0950 + 4.24286i −1.75043 + 0.388943i
\(120\) −0.0155299 0.0144096i −0.00141768 0.00131541i
\(121\) −0.537239 + 13.3314i −0.0488399 + 1.21195i
\(122\) 15.2955 6.93695i 1.38479 0.628042i
\(123\) 6.04749 1.86540i 0.545284 0.168198i
\(124\) 0.835258 + 0.322281i 0.0750084 + 0.0289417i
\(125\) 0.771272 0.0801667i 0.0689846 0.00717032i
\(126\) 1.20394 16.0655i 0.107256 1.43123i
\(127\) 3.64773 9.96257i 0.323684 0.884035i −0.666655 0.745367i \(-0.732274\pi\)
0.990339 0.138669i \(-0.0442823\pi\)
\(128\) −2.55128 0.205961i −0.225503 0.0182045i
\(129\) 2.83870 + 0.947696i 0.249933 + 0.0834400i
\(130\) −0.390493 + 0.513473i −0.0342485 + 0.0450345i
\(131\) −5.54732 1.16578i −0.484671 0.101855i −0.0430811 0.999072i \(-0.513717\pi\)
−0.441590 + 0.897217i \(0.645586\pi\)
\(132\) −6.69470 + 3.81400i −0.582699 + 0.331966i
\(133\) −19.0293 15.7203i −1.65005 1.36312i
\(134\) −15.9563 15.8648i −1.37842 1.37051i
\(135\) −0.138330 0.319560i −0.0119055 0.0275034i
\(136\) −0.347638 + 1.70285i −0.0298098 + 0.146018i
\(137\) −2.28886 + 0.0526882i −0.195551 + 0.00450146i −0.120678 0.992692i \(-0.538507\pi\)
−0.0748724 + 0.997193i \(0.523855\pi\)
\(138\) 5.96967 11.8677i 0.508172 1.01024i
\(139\) 16.6883 + 7.56861i 1.41548 + 0.641961i 0.967682 0.252172i \(-0.0811449\pi\)
0.447801 + 0.894133i \(0.352207\pi\)
\(140\) 0.510611 + 0.0649828i 0.0431545 + 0.00549205i
\(141\) 0.279831 1.93192i 0.0235661 0.162697i
\(142\) 20.8340 3.87995i 1.74835 0.325598i
\(143\) −12.0949 17.0982i −1.01143 1.42983i
\(144\) −8.61700 4.64980i −0.718083 0.387483i
\(145\) 0.381216 0.241067i 0.0316583 0.0200195i
\(146\) 13.0734 11.0556i 1.08196 0.914968i
\(147\) 2.67677 + 4.39928i 0.220776 + 0.362846i
\(148\) 5.02553 3.86772i 0.413096 0.317925i
\(149\) −11.8309 + 12.0369i −0.969226 + 0.986102i −0.999910 0.0134268i \(-0.995726\pi\)
0.0306838 + 0.999529i \(0.490231\pi\)
\(150\) −7.79547 + 2.90524i −0.636497 + 0.237212i
\(151\) −5.78153 19.1335i −0.470495 1.55706i −0.792226 0.610227i \(-0.791078\pi\)
0.321732 0.946831i \(-0.395735\pi\)
\(152\) −1.96481 + 0.974212i −0.159367 + 0.0790190i
\(153\) −7.11767 + 10.0620i −0.575429 + 0.813468i
\(154\) −14.6036 + 31.7137i −1.17679 + 2.55556i
\(155\) 0.0280275 0.0254118i 0.00225122 0.00204112i
\(156\) 2.56328 6.11355i 0.205227 0.489476i
\(157\) −7.07305 8.46225i −0.564491 0.675361i 0.406728 0.913549i \(-0.366670\pi\)
−0.971219 + 0.238189i \(0.923446\pi\)
\(158\) −18.6785 13.7026i −1.48599 1.09012i
\(159\) −0.291937 2.65976i −0.0231521 0.210933i
\(160\) 0.313844 0.515805i 0.0248116 0.0407779i
\(161\) −4.45824 28.4661i −0.351358 2.24345i
\(162\) −3.62559 4.65525i −0.284854 0.365751i
\(163\) 6.22537 19.7774i 0.487608 1.54909i −0.312913 0.949782i \(-0.601305\pi\)
0.800522 0.599304i \(-0.204556\pi\)
\(164\) 6.55691 + 11.9857i 0.512009 + 0.935927i
\(165\) 0.0168531 + 0.325156i 0.00131201 + 0.0253134i
\(166\) −6.12941 3.97547i −0.475734 0.308557i
\(167\) 0.0740794 4.29117i 0.00573244 0.332061i −0.983103 0.183052i \(-0.941402\pi\)
0.988836 0.149010i \(-0.0476085\pi\)
\(168\) 0.978643 0.124547i 0.0755040 0.00960900i
\(169\) 4.79656 + 1.47954i 0.368966 + 0.113811i
\(170\) −0.646165 0.509245i −0.0495586 0.0390573i
\(171\) −15.5359 + 0.715635i −1.18806 + 0.0547260i
\(172\) −0.778730 + 6.41342i −0.0593776 + 0.489019i
\(173\) 16.9374 11.2644i 1.28772 0.856417i 0.292716 0.956200i \(-0.405441\pi\)
0.995009 + 0.0997824i \(0.0318147\pi\)
\(174\) −6.62748 + 7.06080i −0.502428 + 0.535278i
\(175\) −10.0785 + 14.9667i −0.761862 + 1.13138i
\(176\) 13.9798 + 15.9641i 1.05377 + 1.20334i
\(177\) −1.93502 10.7332i −0.145445 0.806753i
\(178\) 0.908397 + 12.1217i 0.0680873 + 0.908561i
\(179\) 7.31108 + 2.07216i 0.546455 + 0.154880i 0.534687 0.845050i \(-0.320430\pi\)
0.0117688 + 0.999931i \(0.496254\pi\)
\(180\) 0.265851 0.185771i 0.0198153 0.0138466i
\(181\) 3.34320 + 16.3761i 0.248498 + 1.21722i 0.892091 + 0.451856i \(0.149238\pi\)
−0.643593 + 0.765368i \(0.722557\pi\)
\(182\) −6.68450 29.2867i −0.495488 2.17088i
\(183\) 1.54100 + 7.12873i 0.113914 + 0.526971i
\(184\) −2.47090 0.669701i −0.182157 0.0493710i
\(185\) −0.0505780 0.263164i −0.00371857 0.0193482i
\(186\) −0.445915 + 0.678925i −0.0326961 + 0.0497812i
\(187\) 22.0693 15.0466i 1.61387 1.10032i
\(188\) 4.20709 0.242336i 0.306833 0.0176742i
\(189\) 15.5489 + 4.60094i 1.13102 + 0.334669i
\(190\) 0.00597330 1.03813i 0.000433349 0.0753140i
\(191\) 1.65261 + 26.0760i 0.119579 + 1.88679i 0.385370 + 0.922762i \(0.374074\pi\)
−0.265791 + 0.964031i \(0.585633\pi\)
\(192\) −1.63342 + 5.40567i −0.117882 + 0.390120i
\(193\) 0.955744 + 5.67452i 0.0687959 + 0.408461i 0.999128 + 0.0417437i \(0.0132913\pi\)
−0.930332 + 0.366717i \(0.880482\pi\)
\(194\) 3.65781 + 30.1248i 0.262616 + 2.16283i
\(195\) −0.182117 0.212859i −0.0130416 0.0152431i
\(196\) −8.14918 + 7.56134i −0.582084 + 0.540095i
\(197\) 2.22521 3.22378i 0.158540 0.229685i −0.735662 0.677349i \(-0.763129\pi\)
0.894202 + 0.447664i \(0.147744\pi\)
\(198\) 6.60527 + 20.9843i 0.469416 + 1.49129i
\(199\) 7.53205 7.84169i 0.533933 0.555883i −0.398527 0.917157i \(-0.630479\pi\)
0.932460 + 0.361274i \(0.117658\pi\)
\(200\) 0.849042 + 1.35991i 0.0600364 + 0.0961603i
\(201\) 8.19792 5.31709i 0.578236 0.375038i
\(202\) 8.04779 + 11.1037i 0.566240 + 0.781252i
\(203\) −2.77149 + 20.8201i −0.194520 + 1.46128i
\(204\) 7.73934 + 3.40318i 0.541863 + 0.238270i
\(205\) 0.576983 0.0199271i 0.0402982 0.00139177i
\(206\) −2.40075 5.37553i −0.167268 0.374531i
\(207\) −14.1287 11.4009i −0.982013 0.792416i
\(208\) −17.9090 3.54894i −1.24177 0.246075i
\(209\) 32.0911 + 10.3047i 2.21978 + 0.712789i
\(210\) −0.155509 + 0.440352i −0.0107311 + 0.0303871i
\(211\) −13.6612 + 1.57906i −0.940475 + 0.108707i −0.571381 0.820685i \(-0.693592\pi\)
−0.369094 + 0.929392i \(0.620332\pi\)
\(212\) 5.49967 1.76598i 0.377719 0.121288i
\(213\) −0.264722 + 9.19905i −0.0181385 + 0.630308i
\(214\) 13.9264 3.26303i 0.951989 0.223056i
\(215\) 0.227325 + 0.151185i 0.0155034 + 0.0103107i
\(216\) 0.936630 1.09474i 0.0637296 0.0744875i
\(217\) 0.0709385 + 1.76032i 0.00481562 + 0.119498i
\(218\) −13.9922 27.8163i −0.947669 1.88396i
\(219\) 3.49307 + 6.56343i 0.236040 + 0.443515i
\(220\) −0.680469 + 0.176051i −0.0458772 + 0.0118693i
\(221\) −7.15190 + 21.8401i −0.481089 + 1.46913i
\(222\) 2.46651 + 5.19806i 0.165541 + 0.348871i
\(223\) −6.65116 8.74585i −0.445395 0.585666i 0.517452 0.855712i \(-0.326880\pi\)
−0.962847 + 0.270046i \(0.912961\pi\)
\(224\) 9.05686 + 26.6177i 0.605137 + 1.77847i
\(225\) 1.62978 + 11.2518i 0.108652 + 0.750122i
\(226\) 0.175189 + 10.1481i 0.0116534 + 0.675041i
\(227\) 12.8251 20.5420i 0.851234 1.36342i −0.0791602 0.996862i \(-0.525224\pi\)
0.930394 0.366561i \(-0.119465\pi\)
\(228\) 2.61268 + 10.3435i 0.173029 + 0.685018i
\(229\) −1.23056 12.5403i −0.0813175 0.828685i −0.945525 0.325550i \(-0.894451\pi\)
0.864207 0.503136i \(-0.167820\pi\)
\(230\) 0.808824 0.902459i 0.0533323 0.0595064i
\(231\) −12.1211 9.10840i −0.797509 0.599289i
\(232\) 1.58865 + 0.979195i 0.104300 + 0.0642873i
\(233\) −5.42716 6.64707i −0.355545 0.435464i 0.565602 0.824678i \(-0.308644\pi\)
−0.921147 + 0.389215i \(0.872746\pi\)
\(234\) −15.5152 10.8417i −1.01426 0.708744i
\(235\) 0.0707418 0.163423i 0.00461469 0.0106605i
\(236\) 21.8664 8.72746i 1.42338 0.568109i
\(237\) 7.52992 6.67093i 0.489121 0.433323i
\(238\) 37.4925 7.87913i 2.43028 0.510728i
\(239\) −5.35703 + 11.2897i −0.346517 + 0.730270i −0.999636 0.0269858i \(-0.991409\pi\)
0.653118 + 0.757256i \(0.273460\pi\)
\(240\) 0.205827 + 0.195435i 0.0132861 + 0.0126153i
\(241\) 3.89808 5.37825i 0.251097 0.346444i −0.665398 0.746489i \(-0.731738\pi\)
0.916495 + 0.400045i \(0.131006\pi\)
\(242\) 1.35263 26.0971i 0.0869505 1.67758i
\(243\) 14.4390 6.95347i 0.926265 0.446066i
\(244\) −14.4128 + 6.33764i −0.922682 + 0.405726i
\(245\) 0.130699 + 0.451224i 0.00835003 + 0.0288276i
\(246\) −11.8858 + 3.51703i −0.757814 + 0.224238i
\(247\) −27.2881 + 9.81369i −1.73630 + 0.624430i
\(248\) 0.145380 + 0.0580249i 0.00923163 + 0.00368458i
\(249\) 2.24980 2.23689i 0.142575 0.141757i
\(250\) −1.51232 + 0.139620i −0.0956472 + 0.00883037i
\(251\) 1.12440 0.844935i 0.0709718 0.0533318i −0.564664 0.825321i \(-0.690994\pi\)
0.635636 + 0.771989i \(0.280738\pi\)
\(252\) −1.30188 + 15.0467i −0.0820107 + 0.947854i
\(253\) 20.0633 + 33.8451i 1.26137 + 2.12783i
\(254\) −7.36850 + 19.4291i −0.462341 + 1.21909i
\(255\) 0.275439 0.227542i 0.0172486 0.0142493i
\(256\) 18.2146 + 1.68161i 1.13841 + 0.105101i
\(257\) −8.60810 + 5.30576i −0.536958 + 0.330964i −0.766405 0.642357i \(-0.777957\pi\)
0.229447 + 0.973321i \(0.426308\pi\)
\(258\) −5.53813 1.92001i −0.344789 0.119535i
\(259\) 10.9133 + 6.05207i 0.678118 + 0.376057i
\(260\) 0.371584 0.477113i 0.0230447 0.0295893i
\(261\) 7.51792 + 10.8916i 0.465347 + 0.674172i
\(262\) 10.8380 + 2.40817i 0.669571 + 0.148777i
\(263\) 5.51240 0.961088i 0.339909 0.0592632i 0.000770901 1.00000i \(-0.499755\pi\)
0.339138 + 0.940736i \(0.389865\pi\)
\(264\) −1.17811 + 0.653331i −0.0725075 + 0.0402098i
\(265\) 0.0377682 0.241152i 0.00232008 0.0148139i
\(266\) 36.9139 + 31.2165i 2.26334 + 1.91401i
\(267\) −5.22846 0.726633i −0.319976 0.0444692i
\(268\) 14.7862 + 15.0437i 0.903212 + 0.918939i
\(269\) −9.39262 4.39082i −0.572678 0.267713i 0.115437 0.993315i \(-0.463173\pi\)
−0.688115 + 0.725602i \(0.741562\pi\)
\(270\) 0.263712 + 0.628965i 0.0160490 + 0.0382776i
\(271\) 1.95233 3.77244i 0.118595 0.229159i −0.821395 0.570359i \(-0.806804\pi\)
0.939991 + 0.341200i \(0.110833\pi\)
\(272\) 4.91972 22.7588i 0.298302 1.37996i
\(273\) 13.0442 0.150115i 0.789470 0.00908536i
\(274\) 4.48385 0.0516009i 0.270879 0.00311732i
\(275\) 5.20596 24.0830i 0.313931 1.45226i
\(276\) −5.72395 + 11.0603i −0.344541 + 0.665749i
\(277\) −0.351430 0.838178i −0.0211154 0.0503612i 0.911318 0.411703i \(-0.135066\pi\)
−0.932433 + 0.361342i \(0.882319\pi\)
\(278\) −32.5129 15.1990i −1.94999 0.911574i
\(279\) 0.778129 + 0.791678i 0.0465854 + 0.0473965i
\(280\) 0.0891393 + 0.0123883i 0.00532709 + 0.000740341i
\(281\) −9.28843 7.85483i −0.554101 0.468580i 0.324667 0.945828i \(-0.394748\pi\)
−0.878768 + 0.477249i \(0.841634\pi\)
\(282\) −0.591583 + 3.77729i −0.0352282 + 0.224935i
\(283\) −16.2357 + 9.00364i −0.965109 + 0.535211i −0.887018 0.461735i \(-0.847227\pi\)
−0.0780917 + 0.996946i \(0.524883\pi\)
\(284\) −19.5714 + 3.41228i −1.16135 + 0.202482i
\(285\) 0.440091 + 0.0977872i 0.0260687 + 0.00579242i
\(286\) 23.3021 + 33.7589i 1.37788 + 1.99621i
\(287\) −16.5192 + 21.2106i −0.975097 + 1.25202i
\(288\) 15.4930 + 8.59180i 0.912935 + 0.506277i
\(289\) −11.6302 4.03205i −0.684127 0.237180i
\(290\) −0.752032 + 0.463529i −0.0441608 + 0.0272193i
\(291\) −13.1222 1.21147i −0.769237 0.0710177i
\(292\) −12.3741 + 10.2224i −0.724142 + 0.598221i
\(293\) −0.0896910 + 0.236496i −0.00523981 + 0.0138162i −0.937611 0.347687i \(-0.886967\pi\)
0.932371 + 0.361503i \(0.117736\pi\)
\(294\) −5.14321 8.67616i −0.299958 0.506004i
\(295\) 0.0857615 0.991205i 0.00499323 0.0577102i
\(296\) 0.886395 0.666083i 0.0515207 0.0387153i
\(297\) −22.0487 + 2.03559i −1.27940 + 0.118117i
\(298\) 23.4417 23.3072i 1.35794 1.35015i
\(299\) −31.4400 12.5485i −1.81822 0.725701i
\(300\) 7.33875 2.63925i 0.423703 0.152377i
\(301\) −12.1907 + 3.60723i −0.702660 + 0.207918i
\(302\) 10.8917 + 37.6025i 0.626747 + 2.16378i
\(303\) −5.45141 + 2.39712i −0.313175 + 0.137711i
\(304\) 26.4720 12.7482i 1.51827 0.731162i
\(305\) −0.0344386 + 0.664442i −0.00197195 + 0.0380458i
\(306\) 14.1665 19.5458i 0.809844 1.11736i
\(307\) 18.5022 + 17.5680i 1.05597 + 1.00266i 0.999991 + 0.00422799i \(0.00134581\pi\)
0.0559832 + 0.998432i \(0.482171\pi\)
\(308\) 14.0315 29.5707i 0.799517 1.68495i
\(309\) 2.50194 0.525788i 0.142330 0.0299110i
\(310\) −0.0554636 + 0.0491364i −0.00315012 + 0.00279076i
\(311\) −23.3041 + 9.30126i −1.32145 + 0.527426i −0.921239 0.388996i \(-0.872822\pi\)
−0.400212 + 0.916422i \(0.631064\pi\)
\(312\) 0.460438 1.06367i 0.0260672 0.0602187i
\(313\) −23.5733 16.4725i −1.33244 0.931082i −0.332513 0.943099i \(-0.607897\pi\)
−0.999928 + 0.0120163i \(0.996175\pi\)
\(314\) 13.6616 + 16.7324i 0.770969 + 0.944266i
\(315\) 0.543305 + 0.334876i 0.0306118 + 0.0188681i
\(316\) 17.3613 + 13.0462i 0.976650 + 0.733905i
\(317\) 5.92982 6.61630i 0.333052 0.371608i −0.554605 0.832114i \(-0.687130\pi\)
0.887657 + 0.460506i \(0.152332\pi\)
\(318\) 0.511801 + 5.21563i 0.0287004 + 0.292478i
\(319\) −7.02394 27.8077i −0.393265 1.55693i
\(320\) −0.272820 + 0.436976i −0.0152511 + 0.0244277i
\(321\) 0.107213 + 6.21051i 0.00598406 + 0.346637i
\(322\) 8.08972 + 55.8504i 0.450823 + 3.11242i
\(323\) −11.9133 35.0128i −0.662876 1.94817i
\(324\) 3.34838 + 4.40291i 0.186021 + 0.244606i
\(325\) 9.08793 + 19.1524i 0.504108 + 1.06238i
\(326\) −12.6379 + 38.5930i −0.699949 + 2.13747i
\(327\) 13.0906 3.38679i 0.723910 0.187290i
\(328\) 1.12223 + 2.10865i 0.0619647 + 0.116431i
\(329\) 3.72642 + 7.40810i 0.205444 + 0.408422i
\(330\) −0.0256778 0.637187i −0.00141351 0.0350760i
\(331\) 13.4224 15.6882i 0.737763 0.862301i −0.256797 0.966465i \(-0.582667\pi\)
0.994560 + 0.104164i \(0.0332167\pi\)
\(332\) 5.70278 + 3.79270i 0.312981 + 0.208152i
\(333\) 7.65562 1.79375i 0.419525 0.0982969i
\(334\) −0.241798 + 8.40245i −0.0132306 + 0.459761i
\(335\) 0.848693 0.272522i 0.0463691 0.0148894i
\(336\) −13.1297 + 1.51763i −0.716285 + 0.0827935i
\(337\) 5.67156 16.0600i 0.308949 0.874845i −0.680856 0.732417i \(-0.738392\pi\)
0.989805 0.142428i \(-0.0454908\pi\)
\(338\) −9.36055 3.00574i −0.509147 0.163491i
\(339\) −4.32347 0.856760i −0.234819 0.0465328i
\(340\) 0.600217 + 0.484333i 0.0325513 + 0.0262666i
\(341\) −0.981019 2.19660i −0.0531251 0.118952i
\(342\) 30.4427 1.05139i 1.64615 0.0568528i
\(343\) 3.12693 + 1.37499i 0.168838 + 0.0742424i
\(344\) −0.149049 + 1.11969i −0.00803619 + 0.0603697i
\(345\) 0.308840 + 0.426112i 0.0166274 + 0.0229411i
\(346\) −33.4251 + 21.6792i −1.79695 + 1.16548i
\(347\) −7.93402 12.7079i −0.425920 0.682197i 0.563688 0.825988i \(-0.309382\pi\)
−0.989608 + 0.143791i \(0.954071\pi\)
\(348\) 6.28872 6.54725i 0.337111 0.350969i
\(349\) −5.14490 16.3449i −0.275400 0.874921i −0.985332 0.170650i \(-0.945413\pi\)
0.709931 0.704271i \(-0.248726\pi\)
\(350\) 20.0757 29.0847i 1.07309 1.55464i
\(351\) 13.9654 12.9580i 0.745416 0.691645i
\(352\) −24.9598 29.1732i −1.33036 1.55493i
\(353\) −0.811286 6.68154i −0.0431804 0.355622i −0.998245 0.0592238i \(-0.981137\pi\)
0.955064 0.296399i \(-0.0957856\pi\)
\(354\) 3.54777 + 21.0641i 0.188562 + 1.11955i
\(355\) −0.242834 + 0.803636i −0.0128883 + 0.0426526i
\(356\) −0.720760 11.3726i −0.0382002 0.602747i
\(357\) −0.0957262 + 16.6368i −0.00506637 + 0.880511i
\(358\) −14.2718 4.22303i −0.754287 0.223194i
\(359\) −24.6907 + 1.42223i −1.30313 + 0.0750626i −0.695134 0.718880i \(-0.744655\pi\)
−0.607993 + 0.793943i \(0.708025\pi\)
\(360\) 0.0468525 0.0319435i 0.00246934 0.00168357i
\(361\) 15.1894 23.1266i 0.799443 1.21719i
\(362\) −6.17845 32.1473i −0.324732 1.68962i
\(363\) 10.9529 + 2.96862i 0.574877 + 0.155812i
\(364\) 5.95007 + 27.5253i 0.311868 + 1.44272i
\(365\) 0.150927 + 0.661252i 0.00789985 + 0.0346115i
\(366\) −2.85733 13.9961i −0.149355 0.731588i
\(367\) −15.8541 + 11.0785i −0.827578 + 0.578294i −0.908241 0.418447i \(-0.862575\pi\)
0.0806634 + 0.996741i \(0.474296\pi\)
\(368\) 32.9985 + 9.35269i 1.72017 + 0.487542i
\(369\) 1.26590 + 16.8923i 0.0659002 + 0.879377i
\(370\) 0.0931239 + 0.516538i 0.00484128 + 0.0268535i
\(371\) 7.48841 + 8.55130i 0.388779 + 0.443961i
\(372\) 0.425321 0.631609i 0.0220519 0.0327474i
\(373\) −4.37234 + 4.65822i −0.226391 + 0.241193i −0.832279 0.554356i \(-0.812964\pi\)
0.605888 + 0.795550i \(0.292818\pi\)
\(374\) −43.5611 + 28.9708i −2.25249 + 1.49805i
\(375\) 0.0794972 0.654719i 0.00410522 0.0338095i
\(376\) 0.736013 0.0339031i 0.0379570 0.00174842i
\(377\) 19.3812 + 15.2744i 0.998184 + 0.786672i
\(378\) −30.3484 9.36123i −1.56095 0.481490i
\(379\) −19.8327 + 2.52401i −1.01874 + 0.129650i −0.617702 0.786412i \(-0.711936\pi\)
−0.401037 + 0.916062i \(0.631350\pi\)
\(380\) −0.0167984 + 0.973073i −0.000861738 + 0.0499176i
\(381\) −7.57069 4.91027i −0.387858 0.251561i
\(382\) −2.64888 51.1062i −0.135528 2.61482i
\(383\) 7.85378 + 14.3563i 0.401309 + 0.733574i 0.997603 0.0691920i \(-0.0220421\pi\)
−0.596294 + 0.802766i \(0.703361\pi\)
\(384\) −0.653644 + 2.07657i −0.0333562 + 0.105969i
\(385\) −0.849869 1.09123i −0.0433133 0.0556142i
\(386\) −1.74390 11.1349i −0.0887620 0.566751i
\(387\) −4.16382 + 6.84326i −0.211659 + 0.347862i
\(388\) −3.10383 28.2782i −0.157573 1.43561i
\(389\) 24.9353 + 18.2925i 1.26427 + 0.927468i 0.999323 0.0367953i \(-0.0117149\pi\)
0.264948 + 0.964263i \(0.414645\pi\)
\(390\) 0.351871 + 0.420981i 0.0178177 + 0.0213172i
\(391\) 16.6935 39.8149i 0.844228 2.01353i
\(392\) −1.43993 + 1.30555i −0.0727277 + 0.0659403i
\(393\) −2.01657 + 4.37925i −0.101723 + 0.220904i
\(394\) −4.43066 + 6.26350i −0.223213 + 0.315551i
\(395\) 0.822186 0.407665i 0.0413687 0.0205118i
\(396\) −5.96536 19.7418i −0.299771 0.992063i
\(397\) 2.75092 1.02522i 0.138065 0.0514544i −0.279238 0.960222i \(-0.590082\pi\)
0.417303 + 0.908768i \(0.362976\pi\)
\(398\) −14.9280 + 15.1879i −0.748272 + 0.761302i
\(399\) −16.6369 + 12.8040i −0.832888 + 0.641003i
\(400\) −11.1647 18.3491i −0.558233 0.917457i
\(401\) 15.0996 12.7690i 0.754036 0.637656i −0.184502 0.982832i \(-0.559067\pi\)
0.938538 + 0.345176i \(0.112181\pi\)
\(402\) −16.1752 + 10.2286i −0.806744 + 0.510154i
\(403\) 1.82155 + 0.982925i 0.0907381 + 0.0489630i
\(404\) −7.42415 10.4953i −0.369365 0.522162i
\(405\) 0.229798 0.0427956i 0.0114187 0.00212653i
\(406\) 5.89711 40.7129i 0.292669 2.02055i
\(407\) −16.9041 2.15130i −0.837905 0.106636i
\(408\) 1.34622 + 0.610549i 0.0666479 + 0.0302267i
\(409\) −3.01933 + 6.00240i −0.149296 + 0.296800i −0.955581 0.294727i \(-0.904771\pi\)
0.806285 + 0.591527i \(0.201475\pi\)
\(410\) −1.13045 + 0.0260223i −0.0558290 + 0.00128515i
\(411\) −0.389505 + 1.90792i −0.0192128 + 0.0941107i
\(412\) 2.19246 + 5.06488i 0.108015 + 0.249529i
\(413\) 32.8544 + 32.6659i 1.61666 + 1.60738i
\(414\) 27.4136 + 22.6467i 1.34731 + 1.11302i
\(415\) 0.251470 0.143264i 0.0123442 0.00703253i
\(416\) 32.3270 + 6.79360i 1.58496 + 0.333083i
\(417\) 9.43442 12.4057i 0.462006 0.607508i
\(418\) −62.6170 20.9046i −3.06270 1.02248i
\(419\) 3.81136 + 0.307685i 0.186197 + 0.0150314i 0.173213 0.984884i \(-0.444585\pi\)
0.0129838 + 0.999916i \(0.495867\pi\)
\(420\) 0.150523 0.411105i 0.00734479 0.0200599i
\(421\) 1.91765 25.5893i 0.0934606 1.24714i −0.731455 0.681889i \(-0.761159\pi\)
0.824916 0.565255i \(-0.191222\pi\)
\(422\) 26.7905 2.78463i 1.30414 0.135554i
\(423\) 4.87477 + 1.88091i 0.237019 + 0.0914530i
\(424\) 0.965061 0.297682i 0.0468675 0.0144567i
\(425\) −24.6225 + 11.1670i −1.19437 + 0.541678i
\(426\) 0.725780 18.0101i 0.0351642 0.872590i
\(427\) −22.7119 21.0736i −1.09911 1.01982i
\(428\) −13.0897 + 2.90850i −0.632715 + 0.140588i
\(429\) −16.4671 + 6.79318i −0.795041 + 0.327978i
\(430\) −0.441800 0.301214i −0.0213055 0.0145258i
\(431\) 25.7385 + 15.4585i 1.23978 + 0.744611i 0.975535 0.219844i \(-0.0705550\pi\)
0.264245 + 0.964456i \(0.414877\pi\)
\(432\) −12.7165 + 14.5214i −0.611821 + 0.698661i
\(433\) −6.58911 24.8769i −0.316652 1.19551i −0.918019 0.396536i \(-0.870212\pi\)
0.601367 0.798973i \(-0.294623\pi\)
\(434\) −0.0992559 3.44913i −0.00476443 0.165563i
\(435\) −0.127745 0.361733i −0.00612491 0.0173438i
\(436\) 12.8161 + 26.2258i 0.613779 + 1.25599i
\(437\) 52.5810 14.2513i 2.51529 0.681732i
\(438\) −6.69312 12.9330i −0.319810 0.617961i
\(439\) 3.06376 3.66550i 0.146225 0.174945i −0.689161 0.724608i \(-0.742021\pi\)
0.835386 + 0.549664i \(0.185244\pi\)
\(440\) −0.119321 + 0.0294099i −0.00568839 + 0.00140206i
\(441\) −13.0744 + 4.36489i −0.622593 + 0.207852i
\(442\) 14.4990 42.6119i 0.689646 2.02684i
\(443\) 20.7652 + 3.86713i 0.986582 + 0.183733i 0.651659 0.758512i \(-0.274073\pi\)
0.334923 + 0.942245i \(0.391290\pi\)
\(444\) −2.25602 4.89923i −0.107066 0.232507i
\(445\) −0.443013 0.188750i −0.0210008 0.00894761i
\(446\) 12.8290 + 17.2784i 0.607469 + 0.818154i
\(447\) 7.74199 + 12.0884i 0.366184 + 0.571764i
\(448\) −7.46550 22.7978i −0.352712 1.07709i
\(449\) −7.57242 + 7.19010i −0.357364 + 0.339322i −0.846016 0.533157i \(-0.821005\pi\)
0.488652 + 0.872479i \(0.337489\pi\)
\(450\) −2.93828 22.0730i −0.138512 1.04053i
\(451\) 10.2137 35.2619i 0.480946 1.66042i
\(452\) −0.0547463 9.51464i −0.00257505 0.447531i
\(453\) −16.9599 + 1.17288i −0.796844 + 0.0551065i
\(454\) −25.5806 + 39.9418i −1.20056 + 1.87456i
\(455\) 1.15209 + 0.298069i 0.0540109 + 0.0139737i
\(456\) 0.435963 + 1.81362i 0.0204158 + 0.0849305i
\(457\) 23.0846 16.5297i 1.07985 0.773225i 0.104645 0.994510i \(-0.466629\pi\)
0.975209 + 0.221285i \(0.0710251\pi\)
\(458\) 2.12737 + 24.5874i 0.0994053 + 1.14890i
\(459\) 16.2161 + 18.0934i 0.756902 + 0.844526i
\(460\) −0.767921 + 0.837233i −0.0358045 + 0.0390362i
\(461\) 3.65486 33.2985i 0.170224 1.55087i −0.536821 0.843696i \(-0.680375\pi\)
0.707045 0.707169i \(-0.250028\pi\)
\(462\) 23.5334 + 18.1117i 1.09487 + 0.842632i
\(463\) 29.7882 4.13986i 1.38438 0.192396i 0.593727 0.804666i \(-0.297656\pi\)
0.790648 + 0.612271i \(0.209744\pi\)
\(464\) −21.1316 13.3628i −0.981012 0.620354i
\(465\) −0.0157672 0.0280501i −0.000731186 0.00130079i
\(466\) 10.4791 + 13.1404i 0.485435 + 0.608716i
\(467\) −18.9895 + 32.0337i −0.878729 + 1.48234i −0.00274972 + 0.999996i \(0.500875\pi\)
−0.875980 + 0.482348i \(0.839784\pi\)
\(468\) 14.4269 + 10.3303i 0.666883 + 0.477519i
\(469\) −15.6085 + 38.4623i −0.720732 + 1.77602i
\(470\) −0.142229 + 0.318464i −0.00656052 + 0.0146896i
\(471\) −8.35564 + 4.26347i −0.385008 + 0.196450i
\(472\) 3.84046 1.48183i 0.176772 0.0682066i
\(473\) 13.6348 10.7456i 0.626927 0.494083i
\(474\) −14.8974 + 12.8951i −0.684262 + 0.592290i
\(475\) −30.2083 15.8546i −1.38605 0.727457i
\(476\) −35.2302 + 6.98138i −1.61477 + 0.319991i
\(477\) 7.11466 + 0.822365i 0.325758 + 0.0376535i
\(478\) 10.7460 21.9897i 0.491511 1.00579i
\(479\) 4.86461 25.3112i 0.222270 1.15650i −0.682594 0.730798i \(-0.739148\pi\)
0.904864 0.425702i \(-0.139973\pi\)
\(480\) −0.368312 0.357865i −0.0168110 0.0163342i
\(481\) 12.6547 7.40359i 0.577004 0.337575i
\(482\) −7.75547 + 10.4453i −0.353252 + 0.475769i
\(483\) −24.4482 1.69074i −1.11243 0.0769312i
\(484\) −1.54947 + 24.4486i −0.0704306 + 1.11130i
\(485\) −1.12647 0.419815i −0.0511502 0.0190628i
\(486\) −28.4351 + 13.2927i −1.28984 + 0.602969i
\(487\) −12.1059 10.9761i −0.548572 0.497376i 0.349673 0.936872i \(-0.386293\pi\)
−0.898245 + 0.439496i \(0.855157\pi\)
\(488\) −2.53253 + 1.07901i −0.114642 + 0.0488445i
\(489\) −15.2214 8.90524i −0.688335 0.402709i
\(490\) −0.245799 0.886652i −0.0111041 0.0400549i
\(491\) −6.70213 18.3046i −0.302463 0.826076i −0.994550 0.104262i \(-0.966752\pi\)
0.692087 0.721814i \(-0.256691\pi\)
\(492\) 11.1796 3.16862i 0.504017 0.142852i
\(493\) −19.9040 + 24.3780i −0.896431 + 1.09793i
\(494\) 53.6640 18.6047i 2.41446 0.837067i
\(495\) −0.858549 0.149688i −0.0385889 0.00672798i
\(496\) −1.93865 0.799752i −0.0870482 0.0359099i
\(497\) −21.4617 32.6764i −0.962690 1.46574i
\(498\) −4.45657 + 4.33016i −0.199703 + 0.194039i
\(499\) −1.38399 + 4.99238i −0.0619561 + 0.223490i −0.988133 0.153599i \(-0.950914\pi\)
0.926177 + 0.377089i \(0.123075\pi\)
\(500\) 1.41914 0.114565i 0.0634658 0.00512349i
\(501\) −3.54426 0.873583i −0.158346 0.0390288i
\(502\) −2.22115 + 1.62943i −0.0991348 + 0.0727252i
\(503\) −3.55708 3.87813i −0.158602 0.172917i 0.652563 0.757734i \(-0.273694\pi\)
−0.811165 + 0.584817i \(0.801166\pi\)
\(504\) −0.257881 + 2.62800i −0.0114869 + 0.117060i
\(505\) −0.537188 + 0.0809680i −0.0239045 + 0.00360303i
\(506\) −38.5305 66.7367i −1.71289 2.96681i
\(507\) 2.13466 3.69733i 0.0948035 0.164204i
\(508\) 7.11677 18.1332i 0.315756 0.804533i
\(509\) −34.1090 + 17.9018i −1.51185 + 0.793482i −0.997927 0.0643513i \(-0.979502\pi\)
−0.513927 + 0.857834i \(0.671810\pi\)
\(510\) −0.544565 + 0.439426i −0.0241138 + 0.0194581i
\(511\) −28.1337 14.3553i −1.24456 0.635039i
\(512\) −30.5430 3.17466i −1.34982 0.140302i
\(513\) −5.43966 + 30.1726i −0.240167 + 1.33215i
\(514\) 16.9782 10.1971i 0.748878 0.449776i
\(515\) 0.232837 + 0.0134119i 0.0102600 + 0.000590997i
\(516\) 5.17069 + 1.85955i 0.227627 + 0.0818620i
\(517\) −8.47587 7.50897i −0.372769 0.330244i
\(518\) −21.2369 12.0987i −0.933095 0.531588i
\(519\) −6.13496 16.1766i −0.269295 0.710072i
\(520\) 0.0659240 0.0826660i 0.00289096 0.00362515i
\(521\) −33.4937 5.44325i −1.46739 0.238473i −0.626388 0.779512i \(-0.715467\pi\)
−0.840998 + 0.541038i \(0.818031\pi\)
\(522\) −14.4781 21.5002i −0.633689 0.941040i
\(523\) 3.04888 11.5109i 0.133318 0.503338i −0.866672 0.498879i \(-0.833745\pi\)
0.999990 0.00445950i \(-0.00141951\pi\)
\(524\) −10.1334 2.37432i −0.442681 0.103723i
\(525\) 10.5031 + 11.1898i 0.458393 + 0.488364i
\(526\) −10.8175 + 1.75802i −0.471666 + 0.0766532i
\(527\) −1.29349 + 2.30114i −0.0563452 + 0.100239i
\(528\) 15.8834 8.57081i 0.691237 0.372997i
\(529\) 36.3691 + 18.0329i 1.58126 + 0.784039i
\(530\) −0.0794029 + 0.471437i −0.00344904 + 0.0204779i
\(531\) 29.1612 + 1.34326i 1.26549 + 0.0582925i
\(532\) −34.2660 29.6603i −1.48562 1.28594i
\(533\) 11.5396 + 29.4024i 0.499835 + 1.27356i
\(534\) 10.2234 + 1.54093i 0.442409 + 0.0666824i
\(535\) −0.138768 + 0.549378i −0.00599944 + 0.0237517i
\(536\) 2.55481 + 2.65983i 0.110351 + 0.114887i
\(537\) 3.10196 5.67024i 0.133860 0.244689i
\(538\) 18.2962 + 8.81097i 0.788804 + 0.379868i
\(539\) 29.8542 + 1.03107i 1.28591 + 0.0444112i
\(540\) −0.240416 0.592432i −0.0103459 0.0254942i
\(541\) 3.12513 13.0006i 0.134360 0.558940i −0.864093 0.503332i \(-0.832107\pi\)
0.998453 0.0556078i \(-0.0177096\pi\)
\(542\) −3.90859 + 7.34419i −0.167888 + 0.315460i
\(543\) 14.2119 + 0.327150i 0.609893 + 0.0140394i
\(544\) −9.37457 + 41.0727i −0.401931 + 1.76098i
\(545\) 1.23341 + 0.0141944i 0.0528337 + 0.000608019i
\(546\) −25.5500 −1.09344
\(547\) −14.4405 + 18.3976i −0.617431 + 0.786625i
\(548\) −4.20368 −0.179572
\(549\) −19.5206 0.224647i −0.833120 0.00958769i
\(550\) −10.7385 + 47.0483i −0.457890 + 2.00615i
\(551\) −39.7020 0.913917i −1.69136 0.0389342i
\(552\) −1.02297 + 1.92215i −0.0435405 + 0.0818121i
\(553\) −9.98820 + 41.5512i −0.424741 + 1.76694i
\(554\) 0.669372 + 1.64946i 0.0284389 + 0.0700790i
\(555\) −0.227791 0.00786714i −0.00966918 0.000333942i
\(556\) 30.3134 + 14.5982i 1.28557 + 0.619100i
\(557\) −0.765870 + 1.39997i −0.0324509 + 0.0593188i −0.893027 0.450004i \(-0.851423\pi\)
0.860576 + 0.509323i \(0.170104\pi\)
\(558\) −1.50610 1.56801i −0.0637581 0.0663793i
\(559\) −3.65789 + 14.4815i −0.154712 + 0.612504i
\(560\) −1.19226 0.179704i −0.0503821 0.00759387i
\(561\) −8.29991 21.1478i −0.350423 0.892862i
\(562\) 18.0140 + 15.5928i 0.759876 + 0.657740i
\(563\) −14.0219 0.645895i −0.590954 0.0272212i −0.251522 0.967852i \(-0.580931\pi\)
−0.339432 + 0.940630i \(0.610235\pi\)
\(564\) 0.595293 3.53443i 0.0250664 0.148826i
\(565\) −0.360226 0.178611i −0.0151548 0.00751422i
\(566\) 31.9999 17.2674i 1.34506 0.725803i
\(567\) −5.33366 + 9.48869i −0.223993 + 0.398487i
\(568\) −3.42854 + 0.557192i −0.143858 + 0.0233793i
\(569\) 28.2406 + 30.0870i 1.18391 + 1.26131i 0.957873 + 0.287194i \(0.0927223\pi\)
0.226033 + 0.974120i \(0.427424\pi\)
\(570\) −0.859699 0.201432i −0.0360088 0.00843705i
\(571\) 4.71452 17.7995i 0.197296 0.744886i −0.793389 0.608715i \(-0.791685\pi\)
0.990685 0.136171i \(-0.0434795\pi\)
\(572\) −21.4790 31.8967i −0.898084 1.33367i
\(573\) 21.9353 + 3.56483i 0.916358 + 0.148923i
\(574\) 32.8303 41.1679i 1.37031 1.71832i
\(575\) −14.1221 37.2370i −0.588934 1.55289i
\(576\) −13.1335 7.48218i −0.547228 0.311758i
\(577\) 17.1379 + 15.1829i 0.713460 + 0.632071i 0.939700 0.342001i \(-0.111105\pi\)
−0.226239 + 0.974072i \(0.572643\pi\)
\(578\) 22.6864 + 8.15876i 0.943630 + 0.339360i
\(579\) 4.88626 + 0.281458i 0.203066 + 0.0116970i
\(580\) 0.709950 0.426396i 0.0294791 0.0177051i
\(581\) −2.39120 + 13.2634i −0.0992036 + 0.550261i
\(582\) 25.6721 + 2.66838i 1.06414 + 0.110608i
\(583\) −13.8256 7.05454i −0.572599 0.292169i
\(584\) −2.18394 + 1.76229i −0.0903721 + 0.0729239i
\(585\) 0.663936 0.348461i 0.0274504 0.0144071i
\(586\) 0.180987 0.461147i 0.00747650 0.0190498i
\(587\) 5.44574 9.43230i 0.224770 0.389313i −0.731481 0.681862i \(-0.761170\pi\)
0.956250 + 0.292550i \(0.0945037\pi\)
\(588\) 4.72761 + 8.18846i 0.194963 + 0.337686i
\(589\) −3.29380 + 0.496461i −0.135719 + 0.0204563i
\(590\) −0.190301 + 1.93931i −0.00783457 + 0.0798401i
\(591\) −2.25204 2.45531i −0.0926366 0.100998i
\(592\) −11.9774 + 8.78662i −0.492268 + 0.361128i
\(593\) 23.0020 + 5.66949i 0.944580 + 0.232818i 0.681385 0.731925i \(-0.261378\pi\)
0.263194 + 0.964743i \(0.415224\pi\)
\(594\) 43.2275 3.48968i 1.77365 0.143183i
\(595\) −0.405448 + 1.46254i −0.0166217 + 0.0599584i
\(596\) −22.2255 + 21.5951i −0.910393 + 0.884571i
\(597\) −5.07688 7.72978i −0.207783 0.316359i
\(598\) 61.2914 + 25.2845i 2.50639 + 1.03396i
\(599\) 18.8438 + 3.28541i 0.769935 + 0.134238i 0.543069 0.839688i \(-0.317262\pi\)
0.226866 + 0.973926i \(0.427152\pi\)
\(600\) 1.28834 0.446655i 0.0525964 0.0182346i
\(601\) 10.1973 12.4895i 0.415959 0.509457i −0.523544 0.851999i \(-0.675390\pi\)
0.939503 + 0.342542i \(0.111288\pi\)
\(602\) 23.9564 6.78988i 0.976388 0.276735i
\(603\) 8.99241 + 24.5598i 0.366199 + 1.00015i
\(604\) −9.80415 35.3658i −0.398925 1.43901i
\(605\) 0.893532 + 0.522759i 0.0363272 + 0.0212532i
\(606\) 10.7304 4.57180i 0.435893 0.185717i
\(607\) 16.1890 + 14.6781i 0.657089 + 0.595766i 0.930571 0.366111i \(-0.119311\pi\)
−0.273482 + 0.961877i \(0.588175\pi\)
\(608\) −48.1584 + 22.5129i −1.95308 + 0.913018i
\(609\) 16.7397 + 6.23859i 0.678326 + 0.252800i
\(610\) 0.0824222 1.30051i 0.00333718 0.0526561i
\(611\) 9.71946 + 0.672158i 0.393207 + 0.0271926i
\(612\) −13.4904 + 18.1692i −0.545317 + 0.734447i
\(613\) 25.2383 14.7656i 1.01936 0.596377i 0.102149 0.994769i \(-0.467428\pi\)
0.917215 + 0.398392i \(0.130432\pi\)
\(614\) −35.8399 34.8234i −1.44638 1.40536i
\(615\) 0.0926771 0.482212i 0.00373710 0.0194446i
\(616\) 2.51262 5.14161i 0.101236 0.207161i
\(617\) 15.5226 + 1.79421i 0.624916 + 0.0722323i 0.421453 0.906850i \(-0.361520\pi\)
0.203463 + 0.979083i \(0.434780\pi\)
\(618\) −4.91181 + 0.973348i −0.197582 + 0.0391538i
\(619\) −7.43771 3.90361i −0.298947 0.156899i 0.308580 0.951198i \(-0.400146\pi\)
−0.607527 + 0.794299i \(0.707838\pi\)
\(620\) 0.0525212 0.0454618i 0.00210930 0.00182579i
\(621\) −28.1092 + 22.1530i −1.12798 + 0.888968i
\(622\) 45.8498 17.6910i 1.83841 0.709343i
\(623\) 19.9743 10.1919i 0.800252 0.408329i
\(624\) −6.33231 + 14.1787i −0.253495 + 0.567601i
\(625\) −9.36678 + 23.0816i −0.374671 + 0.923262i
\(626\) 45.7962 + 32.7922i 1.83038 + 1.31064i
\(627\) 14.6183 24.6599i 0.583800 0.984823i
\(628\) −12.6258 15.8322i −0.503824 0.631775i
\(629\) 9.16221 + 16.2998i 0.365321 + 0.649914i
\(630\) −1.05650 0.668087i −0.0420918 0.0266172i
\(631\) 29.4748 4.09631i 1.17337 0.163071i 0.475780 0.879565i \(-0.342166\pi\)
0.697594 + 0.716493i \(0.254254\pi\)
\(632\) 3.00903 + 2.31579i 0.119693 + 0.0921173i
\(633\) −1.27617 + 11.6268i −0.0507231 + 0.462126i
\(634\) −11.7625 + 12.8241i −0.467148 + 0.509312i
\(635\) −0.549402 0.613004i −0.0218024 0.0243263i
\(636\) −0.423494 4.89462i −0.0167926 0.194084i
\(637\) −20.8967 + 14.9630i −0.827956 + 0.592855i
\(638\) 13.1294 + 54.6187i 0.519798 + 2.16238i
\(639\) −23.8477 6.16987i −0.943400 0.244076i
\(640\) −0.107107 + 0.167238i −0.00423377 + 0.00661066i
\(641\) −11.6402 + 0.804990i −0.459761 + 0.0317952i −0.297015 0.954873i \(-0.595991\pi\)
−0.162746 + 0.986668i \(0.552035\pi\)
\(642\) −0.0699989 12.1655i −0.00276264 0.480133i
\(643\) −10.1070 + 34.8936i −0.398583 + 1.37607i 0.470935 + 0.882168i \(0.343916\pi\)
−0.869518 + 0.493901i \(0.835571\pi\)
\(644\) −6.98075 52.4410i −0.275080 2.06647i
\(645\) 0.168388 0.159886i 0.00663027 0.00629552i
\(646\) 22.5427 + 68.8399i 0.886932 + 2.70847i
\(647\) 20.8052 + 32.4854i 0.817935 + 1.27713i 0.957936 + 0.286982i \(0.0926521\pi\)
−0.140001 + 0.990151i \(0.544711\pi\)
\(648\) 0.576540 + 0.776498i 0.0226486 + 0.0305037i
\(649\) −58.2022 24.7976i −2.28464 0.973393i
\(650\) −17.3667 37.7141i −0.681179 1.47927i
\(651\) 1.47310 + 0.274339i 0.0577354 + 0.0107522i
\(652\) 12.2630 36.0405i 0.480257 1.41145i
\(653\) −18.6734 + 6.23411i −0.730748 + 0.243960i −0.657606 0.753362i \(-0.728431\pi\)
−0.0731422 + 0.997322i \(0.523303\pi\)
\(654\) −25.7138 + 6.33787i −1.00549 + 0.247830i
\(655\) −0.282061 + 0.337459i −0.0110210 + 0.0131856i
\(656\) −14.7090 28.4219i −0.574290 1.10969i
\(657\) −19.2081 + 5.20607i −0.749379 + 0.203108i
\(658\) −7.13110 14.5925i −0.277999 0.568875i
\(659\) −6.12979 17.3576i −0.238783 0.676155i −0.999629 0.0272238i \(-0.991333\pi\)
0.760847 0.648932i \(-0.224784\pi\)
\(660\) 0.0171964 + 0.597572i 0.000669368 + 0.0232604i
\(661\) −4.82842 18.2295i −0.187804 0.709047i −0.993211 0.116325i \(-0.962889\pi\)
0.805407 0.592722i \(-0.201947\pi\)
\(662\) −26.6409 + 30.4223i −1.03543 + 1.18240i
\(663\) 16.7565 + 10.0639i 0.650767 + 0.390850i
\(664\) 0.989386 + 0.674552i 0.0383956 + 0.0261777i
\(665\) −1.77040 + 0.730340i −0.0686530 + 0.0283214i
\(666\) −15.0337 + 3.34045i −0.582543 + 0.129440i
\(667\) −33.9828 31.5314i −1.31582 1.22090i
\(668\) 0.317303 7.87378i 0.0122768 0.304646i
\(669\) −8.51096 + 3.85996i −0.329053 + 0.149235i
\(670\) −1.66828 + 0.514596i −0.0644512 + 0.0198806i
\(671\) 39.4713 + 15.2298i 1.52377 + 0.587941i
\(672\) 23.7858 2.47232i 0.917558 0.0953718i
\(673\) 0.491317 6.55617i 0.0189389 0.252722i −0.979696 0.200489i \(-0.935747\pi\)
0.998635 0.0522331i \(-0.0166339\pi\)
\(674\) −11.4695 + 31.3252i −0.441789 + 1.20660i
\(675\) 22.3399 + 1.80347i 0.859864 + 0.0694154i
\(676\) 8.74208 + 2.91854i 0.336234 + 0.112251i
\(677\) 3.00419 3.95032i 0.115460 0.151823i −0.734615 0.678485i \(-0.762637\pi\)
0.850075 + 0.526661i \(0.176556\pi\)
\(678\) 8.44806 + 1.77538i 0.324446 + 0.0681830i
\(679\) 48.6411 27.7110i 1.86667 1.06345i
\(680\) 0.103961 + 0.0858836i 0.00398674 + 0.00329348i
\(681\) −14.6064 14.5226i −0.559717 0.556505i
\(682\) 1.87178 + 4.32407i 0.0716743 + 0.165577i
\(683\) 7.15229 35.0342i 0.273675 1.34055i −0.577811 0.816170i \(-0.696093\pi\)
0.851486 0.524377i \(-0.175702\pi\)
\(684\) −28.5481 + 0.657161i −1.09157 + 0.0251272i
\(685\) −0.0798255 + 0.158693i −0.00304997 + 0.00606333i
\(686\) −6.09300 2.76334i −0.232632 0.105505i
\(687\) −10.6314 1.35301i −0.405614 0.0516204i
\(688\) 2.16938 14.9771i 0.0827068 0.570997i
\(689\) 13.1286 2.44497i 0.500162 0.0931460i
\(690\) −0.595248 0.841486i −0.0226607 0.0320348i
\(691\) −12.5736 6.78483i −0.478323 0.258107i 0.217848 0.975983i \(-0.430096\pi\)
−0.696171 + 0.717876i \(0.745115\pi\)
\(692\) 31.5664 19.9614i 1.19997 0.758817i
\(693\) 30.9883 26.2055i 1.17715 0.995464i
\(694\) 15.2521 + 25.0669i 0.578961 + 0.951525i
\(695\) 1.12673 0.867145i 0.0427392 0.0328927i
\(696\) 1.11263 1.13200i 0.0421741 0.0429085i
\(697\) −37.7468 + 14.0676i −1.42976 + 0.532848i
\(698\) 9.70772 + 32.1268i 0.367443 + 1.21602i
\(699\) −6.53897 + 3.24222i −0.247326 + 0.122632i
\(700\) −19.1326 + 27.0472i −0.723143 + 1.02229i
\(701\) −12.5487 + 27.2511i −0.473956 + 1.02926i 0.511493 + 0.859288i \(0.329093\pi\)
−0.985449 + 0.169971i \(0.945633\pi\)
\(702\) −27.6427 + 25.0630i −1.04331 + 0.945941i
\(703\) −9.12327 + 21.7594i −0.344090 + 0.820673i
\(704\) 21.0080 + 25.1340i 0.791767 + 0.947275i
\(705\) −0.122123 0.0895895i −0.00459943 0.00337414i
\(706\) 1.43828 + 13.1038i 0.0541305 + 0.493170i
\(707\) 13.1498 21.6117i 0.494547 0.812791i
\(708\) −3.09842 19.7836i −0.116446 0.743514i
\(709\) 0.830526 + 1.06639i 0.0311911 + 0.0400492i 0.804296 0.594229i \(-0.202543\pi\)
−0.773105 + 0.634278i \(0.781297\pi\)
\(710\) 0.493694 1.56842i 0.0185280 0.0588618i
\(711\) 12.9232 + 23.6230i 0.484658 + 0.885931i
\(712\) −0.103129 1.98972i −0.00386492 0.0745680i
\(713\) −3.26231 2.11590i −0.122175 0.0792411i
\(714\) 0.562442 32.5804i 0.0210489 1.21929i
\(715\) −1.61200 + 0.205151i −0.0602855 + 0.00767222i
\(716\) 13.3327 + 4.11260i 0.498267 + 0.153695i
\(717\) 8.34765 + 6.57881i 0.311749 + 0.245690i
\(718\) 48.3880 2.22891i 1.80582 0.0831820i
\(719\) −2.27175 + 18.7096i −0.0847221 + 0.697749i 0.887025 + 0.461722i \(0.152768\pi\)
−0.971747 + 0.236027i \(0.924155\pi\)
\(720\) −0.632590 + 0.420712i −0.0235752 + 0.0156790i
\(721\) −7.43271 + 7.91869i −0.276809 + 0.294907i
\(722\) −30.2692 + 44.9503i −1.12650 + 1.67288i
\(723\) −3.72194 4.25022i −0.138421 0.158068i
\(724\) 5.44484 + 30.2013i 0.202356 + 1.12242i
\(725\) 2.16949 + 28.9498i 0.0805727 + 1.07517i
\(726\) −21.3839 6.06079i −0.793632 0.224937i
\(727\) 4.10498 2.86847i 0.152245 0.106386i −0.494193 0.869352i \(-0.664536\pi\)
0.646438 + 0.762967i \(0.276258\pi\)
\(728\) 0.984870 + 4.82421i 0.0365017 + 0.178797i
\(729\) −1.02201 4.47771i −0.0378522 0.165841i
\(730\) −0.280681 1.29844i −0.0103885 0.0480575i
\(731\) −18.3858 4.98320i −0.680023 0.184310i
\(732\) 2.52745 + 13.1507i 0.0934173 + 0.486063i
\(733\) −8.89951 + 13.5499i −0.328711 + 0.500477i −0.961856 0.273556i \(-0.911800\pi\)
0.633145 + 0.774033i \(0.281764\pi\)
\(734\) 31.2994 21.3396i 1.15528 0.787658i
\(735\) 0.398896 0.0229772i 0.0147135 0.000847525i
\(736\) −59.5060 17.6079i −2.19342 0.649035i
\(737\) 0.326132 56.6802i 0.0120132 2.08784i
\(738\) −2.09850 33.1115i −0.0772469 1.21885i
\(739\) 2.11806 7.00952i 0.0779140 0.257849i −0.909574 0.415541i \(-0.863592\pi\)
0.987488 + 0.157692i \(0.0504054\pi\)
\(740\) −0.0817214 0.485203i −0.00300414 0.0178364i
\(741\) 2.97301 + 24.4849i 0.109216 + 0.899477i
\(742\) −14.4731 16.9162i −0.531323 0.621013i
\(743\) −16.2936 + 15.1182i −0.597754 + 0.554635i −0.919949 0.392039i \(-0.871770\pi\)
0.322195 + 0.946673i \(0.395579\pi\)
\(744\) 0.0756297 0.109568i 0.00277272 0.00401698i
\(745\) 0.393185 + 1.24911i 0.0144052 + 0.0457639i
\(746\) 8.66807 9.02441i 0.317360 0.330407i
\(747\) 4.49726 + 7.20327i 0.164546 + 0.263554i
\(748\) 41.1464 26.6871i 1.50446 0.975777i
\(749\)