Properties

Label 690.2.w.a.7.4
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.4
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.160701 - 2.23029i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(1.09028 - 1.99670i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.160701 - 2.23029i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(1.09028 - 1.99670i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(0.319399 + 2.21314i) q^{10} +(-1.01510 + 0.879593i) q^{11} +(0.0713392 - 0.997452i) q^{12} +(4.15840 - 2.27066i) q^{13} +(-0.945060 + 2.06939i) q^{14} +(-2.21348 - 0.317052i) q^{15} +(0.959493 - 0.281733i) q^{16} +(0.746984 + 0.997854i) q^{17} +(0.936950 + 0.349464i) q^{18} +(-1.03326 - 7.18646i) q^{19} +(-0.476468 - 2.18471i) q^{20} +(-1.71931 - 1.48979i) q^{21} +(0.949768 - 0.949768i) q^{22} +(1.40009 + 4.58691i) q^{23} +1.00000i q^{24} +(-4.94835 + 0.716820i) q^{25} +(-3.98582 + 2.56153i) q^{26} +(-0.599278 + 0.800541i) q^{27} +(0.795024 - 2.13154i) q^{28} +(-3.31635 - 0.476819i) q^{29} +(2.23045 + 0.158337i) q^{30} +(-1.63406 - 1.05015i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(0.643715 + 1.17888i) q^{33} +(-0.816267 - 0.942022i) q^{34} +(-4.62842 - 2.11077i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(2.63793 + 7.07258i) q^{37} +(1.54330 + 7.09444i) q^{38} +(-1.33484 - 4.54603i) q^{39} +(0.631110 + 2.14516i) q^{40} +(-1.59716 - 3.49728i) q^{41} +(1.82121 + 1.36334i) q^{42} +(-2.60088 - 0.565788i) q^{43} +(-0.879593 + 1.01510i) q^{44} +(-0.780315 + 2.09550i) q^{45} +(-1.72375 - 4.47534i) q^{46} +(-1.64917 - 1.64917i) q^{47} +(-0.0713392 - 0.997452i) q^{48} +(0.986384 + 1.53484i) q^{49} +(4.88460 - 1.06800i) q^{50} +(1.13383 - 0.517804i) q^{51} +(3.79293 - 2.83935i) q^{52} +(-6.22598 - 3.39964i) q^{53} +(0.540641 - 0.841254i) q^{54} +(2.12487 + 2.12262i) q^{55} +(-0.640936 + 2.18283i) q^{56} +(-7.24187 - 0.517948i) q^{57} +(3.34192 + 0.239019i) q^{58} +(2.06066 - 7.01798i) q^{59} +(-2.23607 + 0.00118518i) q^{60} +(4.62425 - 7.19548i) q^{61} +(1.70482 + 0.930900i) q^{62} +(-1.82121 + 1.36334i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-5.73248 - 8.90952i) q^{65} +(-0.726175 - 1.12995i) q^{66} +(-0.0387574 - 0.541900i) q^{67} +(0.881390 + 0.881390i) q^{68} +(4.77970 - 0.393076i) q^{69} +(4.76721 + 1.77520i) q^{70} +(-3.82861 + 4.41845i) q^{71} +(0.977147 + 0.212565i) q^{72} +(-2.33119 - 1.74511i) q^{73} +(-3.13577 - 6.86637i) q^{74} +(-0.351409 + 4.98764i) q^{75} +(-2.04548 - 6.96627i) q^{76} +(0.649535 + 2.98586i) q^{77} +(1.65574 + 4.43922i) q^{78} +(-4.55944 - 1.33877i) q^{79} +(-0.782536 - 2.09467i) q^{80} +(0.654861 + 0.755750i) q^{81} +(1.84258 + 3.37443i) q^{82} +(-7.07921 + 2.64041i) q^{83} +(-1.91383 - 1.22995i) q^{84} +(2.10546 - 1.82634i) q^{85} +(2.63462 + 0.378801i) q^{86} +(-1.17086 + 3.13921i) q^{87} +(0.804935 - 1.07527i) q^{88} +(1.22772 - 0.789005i) q^{89} +(0.628836 - 2.14583i) q^{90} -10.7787i q^{91} +(2.03862 + 4.34097i) q^{92} +(-1.37349 + 1.37349i) q^{93} +(1.76262 + 1.52732i) q^{94} +(-15.8618 + 3.45933i) q^{95} +(0.142315 + 0.989821i) q^{96} +(14.4916 + 5.40508i) q^{97} +(-1.09337 - 1.46057i) q^{98} +(1.28877 - 0.378416i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) 0.212565 0.977147i 0.122725 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −0.160701 2.23029i −0.0718679 0.997414i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) 1.09028 1.99670i 0.412088 0.754682i −0.586379 0.810037i \(-0.699447\pi\)
0.998467 + 0.0553547i \(0.0176289\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 0.319399 + 2.21314i 0.101003 + 0.699856i
\(11\) −1.01510 + 0.879593i −0.306065 + 0.265207i −0.794327 0.607490i \(-0.792177\pi\)
0.488262 + 0.872697i \(0.337631\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) 4.15840 2.27066i 1.15333 0.629767i 0.215380 0.976530i \(-0.430901\pi\)
0.937953 + 0.346763i \(0.112719\pi\)
\(14\) −0.945060 + 2.06939i −0.252578 + 0.553069i
\(15\) −2.21348 0.317052i −0.571517 0.0818626i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 0.746984 + 0.997854i 0.181170 + 0.242015i 0.881928 0.471384i \(-0.156245\pi\)
−0.700758 + 0.713399i \(0.747155\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) −1.03326 7.18646i −0.237046 1.64869i −0.666431 0.745567i \(-0.732179\pi\)
0.429386 0.903121i \(-0.358730\pi\)
\(20\) −0.476468 2.18471i −0.106542 0.488517i
\(21\) −1.71931 1.48979i −0.375185 0.325100i
\(22\) 0.949768 0.949768i 0.202491 0.202491i
\(23\) 1.40009 + 4.58691i 0.291939 + 0.956437i
\(24\) 1.00000i 0.204124i
\(25\) −4.94835 + 0.716820i −0.989670 + 0.143364i
\(26\) −3.98582 + 2.56153i −0.781683 + 0.502357i
\(27\) −0.599278 + 0.800541i −0.115331 + 0.154064i
\(28\) 0.795024 2.13154i 0.150245 0.402823i
\(29\) −3.31635 0.476819i −0.615831 0.0885431i −0.172662 0.984981i \(-0.555237\pi\)
−0.443169 + 0.896438i \(0.646146\pi\)
\(30\) 2.23045 + 0.158337i 0.407223 + 0.0289083i
\(31\) −1.63406 1.05015i −0.293486 0.188612i 0.385609 0.922662i \(-0.373991\pi\)
−0.679095 + 0.734050i \(0.737628\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) 0.643715 + 1.17888i 0.112056 + 0.205216i
\(34\) −0.816267 0.942022i −0.139989 0.161555i
\(35\) −4.62842 2.11077i −0.782346 0.356785i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 2.63793 + 7.07258i 0.433674 + 1.16272i 0.951611 + 0.307306i \(0.0994274\pi\)
−0.517937 + 0.855419i \(0.673300\pi\)
\(38\) 1.54330 + 7.09444i 0.250357 + 1.15087i
\(39\) −1.33484 4.54603i −0.213745 0.727948i
\(40\) 0.631110 + 2.14516i 0.0997873 + 0.339179i
\(41\) −1.59716 3.49728i −0.249434 0.546184i 0.742953 0.669344i \(-0.233425\pi\)
−0.992387 + 0.123160i \(0.960697\pi\)
\(42\) 1.82121 + 1.36334i 0.281019 + 0.210369i
\(43\) −2.60088 0.565788i −0.396631 0.0862818i 0.00982587 0.999952i \(-0.496872\pi\)
−0.406457 + 0.913670i \(0.633236\pi\)
\(44\) −0.879593 + 1.01510i −0.132604 + 0.153033i
\(45\) −0.780315 + 2.09550i −0.116323 + 0.312378i
\(46\) −1.72375 4.47534i −0.254153 0.659853i
\(47\) −1.64917 1.64917i −0.240556 0.240556i 0.576524 0.817080i \(-0.304409\pi\)
−0.817080 + 0.576524i \(0.804409\pi\)
\(48\) −0.0713392 0.997452i −0.0102969 0.143970i
\(49\) 0.986384 + 1.53484i 0.140912 + 0.219263i
\(50\) 4.88460 1.06800i 0.690787 0.151039i
\(51\) 1.13383 0.517804i 0.158768 0.0725071i
\(52\) 3.79293 2.83935i 0.525984 0.393747i
\(53\) −6.22598 3.39964i −0.855205 0.466977i −0.00907793 0.999959i \(-0.502890\pi\)
−0.846127 + 0.532982i \(0.821071\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) 2.12487 + 2.12262i 0.286518 + 0.286214i
\(56\) −0.640936 + 2.18283i −0.0856486 + 0.291692i
\(57\) −7.24187 0.517948i −0.959209 0.0686039i
\(58\) 3.34192 + 0.239019i 0.438815 + 0.0313847i
\(59\) 2.06066 7.01798i 0.268276 0.913663i −0.709623 0.704582i \(-0.751135\pi\)
0.977898 0.209081i \(-0.0670472\pi\)
\(60\) −2.23607 + 0.00118518i −0.288675 + 0.000153006i
\(61\) 4.62425 7.19548i 0.592075 0.921286i −0.407891 0.913031i \(-0.633736\pi\)
0.999966 0.00825570i \(-0.00262790\pi\)
\(62\) 1.70482 + 0.930900i 0.216512 + 0.118224i
\(63\) −1.82121 + 1.36334i −0.229451 + 0.171765i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −5.73248 8.90952i −0.711026 1.10509i
\(66\) −0.726175 1.12995i −0.0893860 0.139087i
\(67\) −0.0387574 0.541900i −0.00473497 0.0662036i 0.994535 0.104402i \(-0.0332928\pi\)
−0.999270 + 0.0381981i \(0.987838\pi\)
\(68\) 0.881390 + 0.881390i 0.106884 + 0.106884i
\(69\) 4.77970 0.393076i 0.575408 0.0473208i
\(70\) 4.76721 + 1.77520i 0.569791 + 0.212177i
\(71\) −3.82861 + 4.41845i −0.454372 + 0.524374i −0.935999 0.352003i \(-0.885501\pi\)
0.481627 + 0.876377i \(0.340046\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) −2.33119 1.74511i −0.272845 0.204249i 0.454089 0.890956i \(-0.349965\pi\)
−0.726934 + 0.686707i \(0.759056\pi\)
\(74\) −3.13577 6.86637i −0.364525 0.798199i
\(75\) −0.351409 + 4.98764i −0.0405772 + 0.575923i
\(76\) −2.04548 6.96627i −0.234633 0.799086i
\(77\) 0.649535 + 2.98586i 0.0740213 + 0.340271i
\(78\) 1.65574 + 4.43922i 0.187476 + 0.502643i
\(79\) −4.55944 1.33877i −0.512977 0.150624i 0.0149915 0.999888i \(-0.495228\pi\)
−0.527968 + 0.849264i \(0.677046\pi\)
\(80\) −0.782536 2.09467i −0.0874902 0.234191i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) 1.84258 + 3.37443i 0.203479 + 0.372644i
\(83\) −7.07921 + 2.64041i −0.777044 + 0.289823i −0.706525 0.707688i \(-0.749738\pi\)
−0.0705191 + 0.997510i \(0.522466\pi\)
\(84\) −1.91383 1.22995i −0.208816 0.134198i
\(85\) 2.10546 1.82634i 0.228369 0.198095i
\(86\) 2.63462 + 0.378801i 0.284098 + 0.0408472i
\(87\) −1.17086 + 3.13921i −0.125530 + 0.336558i
\(88\) 0.804935 1.07527i 0.0858063 0.114624i
\(89\) 1.22772 0.789005i 0.130138 0.0836344i −0.473952 0.880551i \(-0.657173\pi\)
0.604090 + 0.796916i \(0.293537\pi\)
\(90\) 0.628836 2.14583i 0.0662851 0.226190i
\(91\) 10.7787i 1.12992i
\(92\) 2.03862 + 4.34097i 0.212541 + 0.452577i
\(93\) −1.37349 + 1.37349i −0.142425 + 0.142425i
\(94\) 1.76262 + 1.52732i 0.181800 + 0.157531i
\(95\) −15.8618 + 3.45933i −1.62739 + 0.354920i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) 14.4916 + 5.40508i 1.47140 + 0.548803i 0.952099 0.305790i \(-0.0989207\pi\)
0.519298 + 0.854593i \(0.326193\pi\)
\(98\) −1.09337 1.46057i −0.110447 0.147539i
\(99\) 1.28877 0.378416i 0.129526 0.0380323i
\(100\) −4.79597 + 1.41375i −0.479597 + 0.141375i
\(101\) 0.854318 1.87070i 0.0850078 0.186141i −0.862354 0.506305i \(-0.831011\pi\)
0.947362 + 0.320164i \(0.103738\pi\)
\(102\) −1.09400 + 0.597371i −0.108323 + 0.0591486i
\(103\) 0.506077 7.07588i 0.0498652 0.697207i −0.909619 0.415444i \(-0.863626\pi\)
0.959484 0.281763i \(-0.0909192\pi\)
\(104\) −3.58070 + 3.10270i −0.351117 + 0.304245i
\(105\) −3.04637 + 4.07397i −0.297295 + 0.397579i
\(106\) 6.45265 + 2.94683i 0.626737 + 0.286221i
\(107\) 14.3235 3.11589i 1.38470 0.301224i 0.542352 0.840151i \(-0.317534\pi\)
0.842352 + 0.538927i \(0.181170\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) 1.28668 8.94904i 0.123241 0.857162i −0.830604 0.556864i \(-0.812005\pi\)
0.953845 0.300299i \(-0.0970863\pi\)
\(110\) −2.27088 1.96563i −0.216520 0.187415i
\(111\) 7.47168 1.07427i 0.709180 0.101965i
\(112\) 0.483581 2.22299i 0.0456942 0.210053i
\(113\) 4.45802 0.318844i 0.419375 0.0299943i 0.139942 0.990160i \(-0.455308\pi\)
0.279432 + 0.960165i \(0.409854\pi\)
\(114\) 7.26036 0.679995
\(115\) 10.0051 3.85972i 0.932983 0.359921i
\(116\) −3.35045 −0.311082
\(117\) −4.72588 + 0.338002i −0.436908 + 0.0312483i
\(118\) −1.55476 + 7.14710i −0.143127 + 0.657944i
\(119\) 2.80684 0.403562i 0.257302 0.0369945i
\(120\) 2.23029 0.160701i 0.203596 0.0146700i
\(121\) −1.30871 + 9.10228i −0.118974 + 0.827480i
\(122\) −4.09915 + 7.50703i −0.371120 + 0.679655i
\(123\) −3.75686 + 0.817255i −0.338745 + 0.0736894i
\(124\) −1.76688 0.806908i −0.158671 0.0724625i
\(125\) 2.39392 + 10.9210i 0.214119 + 0.976808i
\(126\) 1.71931 1.48979i 0.153169 0.132721i
\(127\) −1.33082 + 18.6073i −0.118091 + 1.65113i 0.500735 + 0.865601i \(0.333063\pi\)
−0.618826 + 0.785528i \(0.712391\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) −1.10572 + 2.42118i −0.0973528 + 0.213173i
\(130\) 6.35347 + 8.47787i 0.557236 + 0.743559i
\(131\) 6.90207 2.02663i 0.603037 0.177068i 0.0340580 0.999420i \(-0.489157\pi\)
0.568979 + 0.822352i \(0.307339\pi\)
\(132\) 0.804935 + 1.07527i 0.0700606 + 0.0935900i
\(133\) −15.4758 5.77216i −1.34192 0.500510i
\(134\) 0.0773174 + 0.537754i 0.00667920 + 0.0464549i
\(135\) 1.88174 + 1.20791i 0.161954 + 0.103961i
\(136\) −0.942022 0.816267i −0.0807777 0.0699943i
\(137\) 8.85986 8.85986i 0.756949 0.756949i −0.218817 0.975766i \(-0.570220\pi\)
0.975766 + 0.218817i \(0.0702199\pi\)
\(138\) −4.73948 + 0.733054i −0.403451 + 0.0624017i
\(139\) 5.52111i 0.468294i 0.972201 + 0.234147i \(0.0752297\pi\)
−0.972201 + 0.234147i \(0.924770\pi\)
\(140\) −4.88171 1.43059i −0.412579 0.120907i
\(141\) −1.96204 + 1.26093i −0.165233 + 0.106189i
\(142\) 3.50365 4.68032i 0.294019 0.392764i
\(143\) −2.22395 + 5.96265i −0.185976 + 0.498622i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −0.530501 + 7.47303i −0.0440557 + 0.620602i
\(146\) 2.44974 + 1.57435i 0.202742 + 0.130294i
\(147\) 1.70944 0.637588i 0.140992 0.0525873i
\(148\) 3.61762 + 6.62517i 0.297366 + 0.544586i
\(149\) 2.32435 + 2.68244i 0.190418 + 0.219754i 0.842928 0.538026i \(-0.180830\pi\)
−0.652511 + 0.757780i \(0.726284\pi\)
\(150\) −0.00530027 5.00000i −0.000432766 0.408248i
\(151\) −2.00883 0.589846i −0.163476 0.0480010i 0.198970 0.980006i \(-0.436240\pi\)
−0.362447 + 0.932005i \(0.618058\pi\)
\(152\) 2.53724 + 6.80260i 0.205797 + 0.551763i
\(153\) −0.264957 1.21799i −0.0214205 0.0984685i
\(154\) −0.860889 2.93192i −0.0693724 0.236261i
\(155\) −2.07954 + 3.81319i −0.167032 + 0.306283i
\(156\) −1.96822 4.30979i −0.157583 0.345060i
\(157\) 16.9501 + 12.6887i 1.35277 + 1.01267i 0.996944 + 0.0781142i \(0.0248899\pi\)
0.355822 + 0.934554i \(0.384201\pi\)
\(158\) 4.64333 + 1.01009i 0.369403 + 0.0803588i
\(159\) −4.64538 + 5.36105i −0.368403 + 0.425159i
\(160\) 0.929974 + 2.03351i 0.0735209 + 0.160763i
\(161\) 10.6852 + 2.20546i 0.842110 + 0.173815i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) −1.41631 19.8026i −0.110934 1.55106i −0.682733 0.730668i \(-0.739209\pi\)
0.571799 0.820394i \(-0.306246\pi\)
\(164\) −2.07861 3.23439i −0.162312 0.252563i
\(165\) 2.52579 1.62512i 0.196632 0.126515i
\(166\) 6.87281 3.13871i 0.533433 0.243611i
\(167\) 15.3458 11.4877i 1.18750 0.888948i 0.191782 0.981438i \(-0.438573\pi\)
0.995714 + 0.0924897i \(0.0294825\pi\)
\(168\) 1.99670 + 1.09028i 0.154049 + 0.0841170i
\(169\) 5.10807 7.94831i 0.392929 0.611409i
\(170\) −1.96980 + 1.97189i −0.151077 + 0.151237i
\(171\) −2.04548 + 6.96627i −0.156422 + 0.532724i
\(172\) −2.65493 0.189884i −0.202437 0.0144786i
\(173\) 14.9766 + 1.07115i 1.13865 + 0.0814379i 0.627902 0.778292i \(-0.283914\pi\)
0.510749 + 0.859730i \(0.329368\pi\)
\(174\) 0.943932 3.21474i 0.0715593 0.243708i
\(175\) −3.96382 + 10.6619i −0.299636 + 0.805965i
\(176\) −0.726175 + 1.12995i −0.0547375 + 0.0851732i
\(177\) −6.41957 3.50535i −0.482524 0.263478i
\(178\) −1.16830 + 0.874579i −0.0875679 + 0.0655525i
\(179\) −17.7984 + 8.12825i −1.33031 + 0.607534i −0.948521 0.316714i \(-0.897420\pi\)
−0.381792 + 0.924248i \(0.624693\pi\)
\(180\) −0.474152 + 2.18522i −0.0353412 + 0.162877i
\(181\) 8.24855 + 12.8350i 0.613110 + 0.954017i 0.999498 + 0.0316810i \(0.0100861\pi\)
−0.386388 + 0.922336i \(0.626278\pi\)
\(182\) 0.768946 + 10.7513i 0.0569981 + 0.796937i
\(183\) −6.04808 6.04808i −0.447087 0.447087i
\(184\) −2.34311 4.18447i −0.172736 0.308484i
\(185\) 15.3499 7.01992i 1.12855 0.516115i
\(186\) 1.27201 1.46798i 0.0932684 0.107637i
\(187\) −1.63597 0.355884i −0.119634 0.0260248i
\(188\) −1.86709 1.39768i −0.136171 0.101937i
\(189\) 0.945060 + 2.06939i 0.0687430 + 0.150526i
\(190\) 15.5746 4.58209i 1.12990 0.332420i
\(191\) −0.319169 1.08699i −0.0230943 0.0786518i 0.947140 0.320822i \(-0.103959\pi\)
−0.970234 + 0.242170i \(0.922141\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) 8.57683 + 22.9954i 0.617374 + 1.65524i 0.747910 + 0.663800i \(0.231057\pi\)
−0.130536 + 0.991444i \(0.541670\pi\)
\(194\) −14.8403 4.35749i −1.06547 0.312850i
\(195\) −9.92444 + 3.70762i −0.710704 + 0.265508i
\(196\) 1.19478 + 1.37884i 0.0853411 + 0.0984889i
\(197\) 12.7005 + 23.2593i 0.904876 + 1.65716i 0.741883 + 0.670529i \(0.233933\pi\)
0.162993 + 0.986627i \(0.447885\pi\)
\(198\) −1.25849 + 0.469392i −0.0894368 + 0.0333582i
\(199\) −9.30223 5.97818i −0.659418 0.423782i 0.167679 0.985842i \(-0.446373\pi\)
−0.827097 + 0.562060i \(0.810009\pi\)
\(200\) 4.68289 1.75229i 0.331131 0.123905i
\(201\) −0.537754 0.0773174i −0.0379303 0.00545355i
\(202\) −0.718688 + 1.92688i −0.0505667 + 0.135575i
\(203\) −4.56782 + 6.10189i −0.320598 + 0.428269i
\(204\) 1.04860 0.673895i 0.0734167 0.0471821i
\(205\) −7.54328 + 4.12413i −0.526845 + 0.288042i
\(206\) 7.09395i 0.494259i
\(207\) 0.631905 4.75402i 0.0439204 0.330427i
\(208\) 3.35024 3.35024i 0.232297 0.232297i
\(209\) 7.37002 + 6.38616i 0.509795 + 0.441740i
\(210\) 2.74797 4.28092i 0.189628 0.295412i
\(211\) 1.78074 + 12.3854i 0.122592 + 0.852643i 0.954602 + 0.297883i \(0.0962806\pi\)
−0.832011 + 0.554759i \(0.812810\pi\)
\(212\) −6.64643 2.47899i −0.456479 0.170258i
\(213\) 3.50365 + 4.68032i 0.240066 + 0.320690i
\(214\) −14.0647 + 4.12977i −0.961444 + 0.282306i
\(215\) −0.843903 + 5.89164i −0.0575537 + 0.401806i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) −3.87842 + 2.11778i −0.263284 + 0.143764i
\(218\) −0.644982 + 9.01802i −0.0436837 + 0.610778i
\(219\) −2.20075 + 1.90696i −0.148713 + 0.128861i
\(220\) 2.40532 + 1.79861i 0.162167 + 0.121263i
\(221\) 5.37204 + 2.45333i 0.361363 + 0.165029i
\(222\) −7.37600 + 1.60455i −0.495045 + 0.107690i
\(223\) −1.66947 + 3.05741i −0.111796 + 0.204739i −0.927587 0.373608i \(-0.878120\pi\)
0.815790 + 0.578348i \(0.196302\pi\)
\(224\) −0.323763 + 2.25182i −0.0216323 + 0.150456i
\(225\) 4.79896 + 1.40358i 0.319930 + 0.0935718i
\(226\) −4.42391 + 0.636062i −0.294274 + 0.0423102i
\(227\) 5.83544 26.8251i 0.387312 1.78044i −0.209234 0.977866i \(-0.567097\pi\)
0.596546 0.802579i \(-0.296539\pi\)
\(228\) −7.24187 + 0.517948i −0.479604 + 0.0343020i
\(229\) 8.14063 0.537948 0.268974 0.963147i \(-0.413315\pi\)
0.268974 + 0.963147i \(0.413315\pi\)
\(230\) −9.70428 + 4.56365i −0.639882 + 0.300918i
\(231\) 3.05569 0.201050
\(232\) 3.34192 0.239019i 0.219408 0.0156923i
\(233\) −2.69394 + 12.3838i −0.176486 + 0.811291i 0.800727 + 0.599029i \(0.204447\pi\)
−0.977213 + 0.212262i \(0.931917\pi\)
\(234\) 4.68973 0.674281i 0.306577 0.0440791i
\(235\) −3.41310 + 3.94315i −0.222646 + 0.257222i
\(236\) 1.04093 7.23981i 0.0677586 0.471271i
\(237\) −2.27735 + 4.17066i −0.147930 + 0.270914i
\(238\) −2.77090 + 0.602772i −0.179611 + 0.0390719i
\(239\) −10.0727 4.60004i −0.651548 0.297552i 0.0620860 0.998071i \(-0.480225\pi\)
−0.713634 + 0.700519i \(0.752952\pi\)
\(240\) −2.21314 + 0.319399i −0.142858 + 0.0206171i
\(241\) 16.5919 14.3769i 1.06878 0.926100i 0.0713248 0.997453i \(-0.477277\pi\)
0.997451 + 0.0713535i \(0.0227318\pi\)
\(242\) 0.656027 9.17245i 0.0421710 0.589627i
\(243\) 0.877679 0.479249i 0.0563031 0.0307438i
\(244\) 3.55316 7.78034i 0.227468 0.498085i
\(245\) 3.26463 2.44657i 0.208569 0.156306i
\(246\) 3.68898 1.08318i 0.235201 0.0690613i
\(247\) −20.6147 27.5380i −1.31168 1.75220i
\(248\) 1.81995 + 0.678804i 0.115567 + 0.0431041i
\(249\) 1.07527 + 7.47869i 0.0681426 + 0.473943i
\(250\) −3.16692 10.7224i −0.200294 0.678146i
\(251\) 8.74204 + 7.57502i 0.551793 + 0.478131i 0.885560 0.464524i \(-0.153775\pi\)
−0.333768 + 0.942655i \(0.608320\pi\)
\(252\) −1.60865 + 1.60865i −0.101336 + 0.101336i
\(253\) −5.45585 3.42468i −0.343006 0.215308i
\(254\) 18.6548i 1.17051i
\(255\) −1.33706 2.44556i −0.0837299 0.153147i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 5.98260 7.99182i 0.373184 0.498516i −0.574155 0.818746i \(-0.694669\pi\)
0.947340 + 0.320230i \(0.103760\pi\)
\(258\) 0.930173 2.49389i 0.0579101 0.155263i
\(259\) 16.9979 + 2.44393i 1.05620 + 0.151858i
\(260\) −6.94209 8.00302i −0.430530 0.496326i
\(261\) 2.81858 + 1.81139i 0.174466 + 0.112122i
\(262\) −6.73991 + 2.51385i −0.416393 + 0.155306i
\(263\) 11.7051 + 21.4363i 0.721766 + 1.32182i 0.938396 + 0.345562i \(0.112312\pi\)
−0.216630 + 0.976254i \(0.569506\pi\)
\(264\) −0.879593 1.01510i −0.0541352 0.0624753i
\(265\) −6.58165 + 14.4321i −0.404308 + 0.886554i
\(266\) 15.8481 + 4.65343i 0.971710 + 0.285320i
\(267\) −0.510004 1.36737i −0.0312118 0.0836820i
\(268\) −0.115483 0.530868i −0.00705427 0.0324279i
\(269\) −7.53209 25.6520i −0.459240 1.56403i −0.785571 0.618772i \(-0.787631\pi\)
0.326331 0.945256i \(-0.394188\pi\)
\(270\) −1.96312 1.07059i −0.119472 0.0651542i
\(271\) −11.3077 24.7604i −0.686894 1.50409i −0.855170 0.518348i \(-0.826547\pi\)
0.168276 0.985740i \(-0.446180\pi\)
\(272\) 0.997854 + 0.746984i 0.0605038 + 0.0452926i
\(273\) −10.5324 2.29119i −0.637450 0.138669i
\(274\) −8.20523 + 9.46934i −0.495696 + 0.572064i
\(275\) 4.39258 5.08018i 0.264883 0.306346i
\(276\) 4.67510 1.06930i 0.281408 0.0643641i
\(277\) −2.70962 2.70962i −0.162805 0.162805i 0.621003 0.783808i \(-0.286725\pi\)
−0.783808 + 0.621003i \(0.786725\pi\)
\(278\) −0.393871 5.50704i −0.0236228 0.330290i
\(279\) 1.05015 + 1.63406i 0.0628708 + 0.0978288i
\(280\) 4.97133 + 1.07869i 0.297094 + 0.0644638i
\(281\) 5.08660 2.32297i 0.303441 0.138577i −0.257875 0.966178i \(-0.583022\pi\)
0.561316 + 0.827601i \(0.310295\pi\)
\(282\) 1.86709 1.39768i 0.111183 0.0832308i
\(283\) −6.98388 3.81349i −0.415149 0.226688i 0.258079 0.966124i \(-0.416911\pi\)
−0.673227 + 0.739436i \(0.735092\pi\)
\(284\) −3.16083 + 4.91834i −0.187561 + 0.291850i
\(285\) 0.00860482 + 16.2347i 0.000509706 + 0.961659i
\(286\) 1.79292 6.10612i 0.106017 0.361062i
\(287\) −8.72438 0.623980i −0.514984 0.0368324i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) 4.35173 14.8206i 0.255984 0.871801i
\(290\) −0.00397088 7.49184i −0.000233178 0.439936i
\(291\) 8.36196 13.0115i 0.490187 0.762746i
\(292\) −2.55581 1.39558i −0.149568 0.0816701i
\(293\) −11.7800 + 8.81837i −0.688193 + 0.515175i −0.885190 0.465229i \(-0.845972\pi\)
0.196997 + 0.980404i \(0.436881\pi\)
\(294\) −1.65960 + 0.757913i −0.0967897 + 0.0442024i
\(295\) −15.9832 3.46807i −0.930580 0.201919i
\(296\) −4.08103 6.35021i −0.237205 0.369099i
\(297\) −0.0958210 1.33975i −0.00556010 0.0777403i
\(298\) −2.50979 2.50979i −0.145388 0.145388i
\(299\) 16.2374 + 15.8951i 0.939035 + 0.919236i
\(300\) 0.361982 + 4.98688i 0.0208991 + 0.287918i
\(301\) −3.96540 + 4.57632i −0.228562 + 0.263775i
\(302\) 2.04579 + 0.445035i 0.117722 + 0.0256089i
\(303\) −1.64635 1.23244i −0.0945801 0.0708018i
\(304\) −3.01606 6.60426i −0.172983 0.378780i
\(305\) −16.7911 9.15708i −0.961455 0.524333i
\(306\) 0.351172 + 1.19598i 0.0200752 + 0.0683698i
\(307\) −4.09149 18.8083i −0.233513 1.07344i −0.933302 0.359094i \(-0.883086\pi\)
0.699788 0.714351i \(-0.253278\pi\)
\(308\) 1.06786 + 2.86303i 0.0608467 + 0.163136i
\(309\) −6.80659 1.99860i −0.387214 0.113696i
\(310\) 1.80221 3.95183i 0.102359 0.224449i
\(311\) −15.5901 17.9919i −0.884033 1.02023i −0.999637 0.0269333i \(-0.991426\pi\)
0.115604 0.993295i \(-0.463120\pi\)
\(312\) 2.27066 + 4.15840i 0.128551 + 0.235423i
\(313\) −21.1147 + 7.87537i −1.19347 + 0.445142i −0.866156 0.499773i \(-0.833417\pi\)
−0.327315 + 0.944915i \(0.606144\pi\)
\(314\) −17.8121 11.4472i −1.00520 0.646000i
\(315\) 3.33332 + 3.84274i 0.187811 + 0.216514i
\(316\) −4.70356 0.676269i −0.264596 0.0380431i
\(317\) 4.09066 10.9675i 0.229754 0.615995i −0.770003 0.638041i \(-0.779745\pi\)
0.999757 + 0.0220457i \(0.00701794\pi\)
\(318\) 4.25109 5.67879i 0.238389 0.318451i
\(319\) 3.78585 2.43302i 0.211967 0.136223i
\(320\) −1.07267 1.96198i −0.0599643 0.109678i
\(321\) 14.6585i 0.818157i
\(322\) −10.8153 1.43757i −0.602713 0.0801126i
\(323\) 6.39921 6.39921i 0.356062 0.356062i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) −18.9496 + 14.2168i −1.05113 + 0.788608i
\(326\) 2.82541 + 19.6511i 0.156485 + 1.08838i
\(327\) −8.47102 3.15953i −0.468448 0.174722i
\(328\) 2.30406 + 3.07786i 0.127220 + 0.169946i
\(329\) −5.09096 + 1.49484i −0.280674 + 0.0824132i
\(330\) −2.40342 + 1.80116i −0.132304 + 0.0991508i
\(331\) −13.5557 + 29.6828i −0.745087 + 1.63151i 0.0299136 + 0.999552i \(0.490477\pi\)
−0.775001 + 0.631960i \(0.782250\pi\)
\(332\) −6.63138 + 3.62101i −0.363944 + 0.198729i
\(333\) 0.538505 7.52928i 0.0295099 0.412602i
\(334\) −14.4872 + 12.5532i −0.792704 + 0.686882i
\(335\) −1.20236 + 0.173524i −0.0656921 + 0.00948064i
\(336\) −2.06939 0.945060i −0.112895 0.0515573i
\(337\) 10.8802 2.36683i 0.592680 0.128930i 0.0937857 0.995592i \(-0.470103\pi\)
0.498894 + 0.866663i \(0.333740\pi\)
\(338\) −4.52803 + 8.29247i −0.246292 + 0.451051i
\(339\) 0.636062 4.42391i 0.0345462 0.240274i
\(340\) 1.82411 2.10739i 0.0989263 0.114289i
\(341\) 2.58245 0.371300i 0.139847 0.0201070i
\(342\) 1.54330 7.09444i 0.0834522 0.383623i
\(343\) 20.0243 1.43217i 1.08121 0.0773298i
\(344\) 2.66171 0.143510
\(345\) −1.64478 10.5969i −0.0885517 0.570519i
\(346\) −15.0149 −0.807205
\(347\) 21.5527 1.54148i 1.15701 0.0827510i 0.520390 0.853929i \(-0.325786\pi\)
0.636620 + 0.771178i \(0.280332\pi\)
\(348\) −0.712190 + 3.27388i −0.0381774 + 0.175499i
\(349\) −4.65299 + 0.668999i −0.249069 + 0.0358107i −0.265718 0.964051i \(-0.585609\pi\)
0.0166496 + 0.999861i \(0.494700\pi\)
\(350\) 3.19311 10.9175i 0.170679 0.583566i
\(351\) −0.674281 + 4.68973i −0.0359904 + 0.250319i
\(352\) 0.643715 1.17888i 0.0343101 0.0628343i
\(353\) 32.8220 7.14000i 1.74694 0.380024i 0.778184 0.628036i \(-0.216141\pi\)
0.968757 + 0.248013i \(0.0797775\pi\)
\(354\) 6.65328 + 3.03845i 0.353618 + 0.161492i
\(355\) 10.4697 + 7.82884i 0.555672 + 0.415512i
\(356\) 1.10293 0.955697i 0.0584553 0.0506518i
\(357\) 0.202297 2.82848i 0.0107067 0.149699i
\(358\) 17.1732 9.37726i 0.907630 0.495604i
\(359\) 4.36232 9.55214i 0.230234 0.504143i −0.758891 0.651218i \(-0.774259\pi\)
0.989125 + 0.147075i \(0.0469858\pi\)
\(360\) 0.317052 2.21348i 0.0167101 0.116660i
\(361\) −32.3473 + 9.49802i −1.70249 + 0.499896i
\(362\) −9.14317 12.2138i −0.480554 0.641945i
\(363\) 8.61608 + 3.21363i 0.452227 + 0.168672i
\(364\) −1.53397 10.6690i −0.0804021 0.559209i
\(365\) −3.51746 + 5.47966i −0.184112 + 0.286818i
\(366\) 6.46414 + 5.60121i 0.337886 + 0.292780i
\(367\) 0.190320 0.190320i 0.00993465 0.00993465i −0.702122 0.712057i \(-0.747764\pi\)
0.712057 + 0.702122i \(0.247764\pi\)
\(368\) 2.63566 + 4.00666i 0.137393 + 0.208861i
\(369\) 3.84472i 0.200148i
\(370\) −14.8100 + 8.09709i −0.769937 + 0.420948i
\(371\) −13.5761 + 8.72486i −0.704838 + 0.452972i
\(372\) −1.16405 + 1.55498i −0.0603530 + 0.0806221i
\(373\) 11.5268 30.9045i 0.596834 1.60017i −0.189164 0.981946i \(-0.560578\pi\)
0.785998 0.618229i \(-0.212150\pi\)
\(374\) 1.65719 + 0.238268i 0.0856913 + 0.0123206i
\(375\) 11.1803 0.0177777i 0.577350 0.000918034i
\(376\) 1.96204 + 1.26093i 0.101184 + 0.0650273i
\(377\) −14.8734 + 5.54749i −0.766019 + 0.285710i
\(378\) −1.09028 1.99670i −0.0560780 0.102699i
\(379\) 7.21415 + 8.32558i 0.370566 + 0.427656i 0.910152 0.414274i \(-0.135965\pi\)
−0.539586 + 0.841931i \(0.681419\pi\)
\(380\) −15.2081 + 5.68150i −0.780157 + 0.291455i
\(381\) 17.8992 + 5.25567i 0.917002 + 0.269256i
\(382\) 0.395901 + 1.06145i 0.0202561 + 0.0543086i
\(383\) −7.83030 35.9953i −0.400109 1.83927i −0.530334 0.847789i \(-0.677933\pi\)
0.130224 0.991485i \(-0.458430\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) 6.55495 1.92848i 0.334071 0.0982845i
\(386\) −10.1955 22.3249i −0.518935 1.13631i
\(387\) 2.13081 + 1.59511i 0.108315 + 0.0810837i
\(388\) 15.1133 + 3.28770i 0.767262 + 0.166908i
\(389\) 22.1811 25.5984i 1.12463 1.29789i 0.174980 0.984572i \(-0.444014\pi\)
0.949648 0.313318i \(-0.101441\pi\)
\(390\) 9.63465 4.40617i 0.487870 0.223115i
\(391\) −3.53122 + 4.82343i −0.178582 + 0.243932i
\(392\) −1.29010 1.29010i −0.0651597 0.0651597i
\(393\) −0.513175 7.17513i −0.0258863 0.361937i
\(394\) −14.3275 22.2940i −0.721808 1.12315i
\(395\) −2.25314 + 10.3840i −0.113368 + 0.522475i
\(396\) 1.22180 0.557975i 0.0613975 0.0280393i
\(397\) −26.9492 + 20.1739i −1.35254 + 1.01250i −0.355578 + 0.934646i \(0.615716\pi\)
−0.996965 + 0.0778546i \(0.975193\pi\)
\(398\) 9.70501 + 5.29934i 0.486468 + 0.265632i
\(399\) −8.92986 + 13.8951i −0.447052 + 0.695627i
\(400\) −4.54596 + 2.08190i −0.227298 + 0.104095i
\(401\) −6.73600 + 22.9407i −0.336380 + 1.14561i 0.601566 + 0.798823i \(0.294544\pi\)
−0.937946 + 0.346782i \(0.887274\pi\)
\(402\) 0.541900 + 0.0387574i 0.0270275 + 0.00193305i
\(403\) −9.17962 0.656539i −0.457269 0.0327046i
\(404\) 0.579395 1.97324i 0.0288260 0.0981722i
\(405\) 1.58030 1.58198i 0.0785258 0.0786091i
\(406\) 4.12088 6.41221i 0.204516 0.318233i
\(407\) −8.89876 4.85909i −0.441095 0.240856i
\(408\) −0.997854 + 0.746984i −0.0494011 + 0.0369812i
\(409\) 29.0709 13.2762i 1.43746 0.656468i 0.464111 0.885777i \(-0.346374\pi\)
0.973354 + 0.229309i \(0.0736467\pi\)
\(410\) 7.22984 4.65176i 0.357057 0.229734i
\(411\) −6.77408 10.5407i −0.334141 0.519933i
\(412\) −0.506077 7.07588i −0.0249326 0.348603i
\(413\) −11.7661 11.7661i −0.578972 0.578972i
\(414\) −0.291147 + 4.78699i −0.0143091 + 0.235268i
\(415\) 7.02651 + 15.3643i 0.344918 + 0.754206i
\(416\) −3.10270 + 3.58070i −0.152122 + 0.175558i
\(417\) 5.39493 + 1.17360i 0.264191 + 0.0574712i
\(418\) −7.80683 5.84412i −0.381845 0.285845i
\(419\) −1.49851 3.28127i −0.0732068 0.160301i 0.869491 0.493950i \(-0.164447\pi\)
−0.942697 + 0.333649i \(0.891720\pi\)
\(420\) −2.43558 + 4.46605i −0.118844 + 0.217921i
\(421\) 4.47904 + 15.2542i 0.218295 + 0.743445i 0.993709 + 0.111992i \(0.0357230\pi\)
−0.775414 + 0.631453i \(0.782459\pi\)
\(422\) −2.65977 12.2268i −0.129476 0.595189i
\(423\) 0.815048 + 2.18523i 0.0396290 + 0.106249i
\(424\) 6.80635 + 1.99852i 0.330545 + 0.0970569i
\(425\) −4.41162 4.40228i −0.213995 0.213542i
\(426\) −3.82861 4.41845i −0.185497 0.214075i
\(427\) −9.32548 17.0783i −0.451292 0.826479i
\(428\) 13.7343 5.12262i 0.663871 0.247611i
\(429\) 5.35365 + 3.44058i 0.258477 + 0.166113i
\(430\) 0.421448 5.93683i 0.0203240 0.286299i
\(431\) −27.3839 3.93722i −1.31904 0.189649i −0.553397 0.832917i \(-0.686669\pi\)
−0.765641 + 0.643268i \(0.777578\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) −20.5050 + 27.3914i −0.985407 + 1.31635i −0.0369921 + 0.999316i \(0.511778\pi\)
−0.948414 + 0.317033i \(0.897313\pi\)
\(434\) 3.71746 2.38907i 0.178444 0.114679i
\(435\) 7.18949 + 2.10688i 0.344709 + 0.101017i
\(436\) 9.04106i 0.432988i
\(437\) 31.5170 14.8012i 1.50766 0.708035i
\(438\) 2.05911 2.05911i 0.0983878 0.0983878i
\(439\) 10.2486 + 8.88042i 0.489137 + 0.423839i 0.864191 0.503163i \(-0.167831\pi\)
−0.375055 + 0.927003i \(0.622376\pi\)
\(440\) −2.52751 1.62244i −0.120494 0.0773467i
\(441\) −0.259649 1.80590i −0.0123643 0.0859953i
\(442\) −5.53338 2.06384i −0.263196 0.0981670i
\(443\) 11.1624 + 14.9112i 0.530342 + 0.708454i 0.983077 0.183191i \(-0.0586427\pi\)
−0.452735 + 0.891645i \(0.649552\pi\)
\(444\) 7.24274 2.12666i 0.343725 0.100927i
\(445\) −1.95700 2.61136i −0.0927709 0.123791i
\(446\) 1.44711 3.16872i 0.0685225 0.150043i
\(447\) 3.11521 1.70103i 0.147344 0.0804561i
\(448\) 0.162295 2.26918i 0.00766772 0.107209i
\(449\) −1.34450 + 1.16501i −0.0634507 + 0.0549803i −0.686009 0.727593i \(-0.740639\pi\)
0.622558 + 0.782574i \(0.286093\pi\)
\(450\) −4.88686 1.05765i −0.230369 0.0498579i
\(451\) 4.69746 + 2.14526i 0.221195 + 0.101016i
\(452\) 4.36726 0.950040i 0.205419 0.0446861i
\(453\) −1.00337 + 1.83754i −0.0471426 + 0.0863352i
\(454\) −3.90689 + 27.1730i −0.183360 + 1.27529i
\(455\) −24.0397 + 1.73216i −1.12700 + 0.0812048i
\(456\) 7.18646 1.03326i 0.336537 0.0483867i
\(457\) −1.28448 + 5.90467i −0.0600855 + 0.276209i −0.997381 0.0723272i \(-0.976957\pi\)
0.937295 + 0.348536i \(0.113321\pi\)
\(458\) −8.11988 + 0.580746i −0.379417 + 0.0271365i
\(459\) −1.24647 −0.0581804
\(460\) 9.35399 5.24432i 0.436132 0.244517i
\(461\) 15.4136 0.717884 0.358942 0.933360i \(-0.383138\pi\)
0.358942 + 0.933360i \(0.383138\pi\)
\(462\) −3.04791 + 0.217991i −0.141802 + 0.0101418i
\(463\) 5.75204 26.4417i 0.267320 1.22885i −0.626141 0.779710i \(-0.715366\pi\)
0.893461 0.449141i \(-0.148270\pi\)
\(464\) −3.31635 + 0.476819i −0.153958 + 0.0221358i
\(465\) 3.28401 + 2.84256i 0.152292 + 0.131821i
\(466\) 1.80362 12.5445i 0.0835511 0.581111i
\(467\) 1.74675 3.19893i 0.0808299 0.148029i −0.834138 0.551556i \(-0.814034\pi\)
0.914968 + 0.403527i \(0.132216\pi\)
\(468\) −4.62967 + 1.00712i −0.214007 + 0.0465543i
\(469\) −1.12427 0.513436i −0.0519139 0.0237083i
\(470\) 3.12310 4.17659i 0.144058 0.192652i
\(471\) 16.0017 13.8656i 0.737320 0.638892i
\(472\) −0.521793 + 7.29562i −0.0240175 + 0.335808i
\(473\) 3.13783 1.71339i 0.144278 0.0787815i
\(474\) 1.97402 4.32250i 0.0906698 0.198539i
\(475\) 10.2643 + 34.8205i 0.470959 + 1.59767i
\(476\) 2.72084 0.798910i 0.124709 0.0366180i
\(477\) 4.25109 + 5.67879i 0.194644 + 0.260014i
\(478\) 10.3752 + 3.86974i 0.474550 + 0.176998i
\(479\) 5.44125 + 37.8447i 0.248617 + 1.72917i 0.606222 + 0.795296i \(0.292684\pi\)
−0.357605 + 0.933873i \(0.616406\pi\)
\(480\) 2.18471 0.476468i 0.0997181 0.0217477i
\(481\) 27.0290 + 23.4208i 1.23242 + 1.06789i
\(482\) −15.5240 + 15.5240i −0.707097 + 0.707097i
\(483\) 4.42636 9.97219i 0.201406 0.453750i
\(484\) 9.19588i 0.417995i
\(485\) 9.72606 33.1890i 0.441637 1.50703i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) −21.1605 + 28.2671i −0.958873 + 1.28090i 0.000862493 1.00000i \(0.499725\pi\)
−0.959736 + 0.280905i \(0.909365\pi\)
\(488\) −2.98906 + 8.01399i −0.135309 + 0.362776i
\(489\) −19.6511 2.82541i −0.888655 0.127769i
\(490\) −3.08177 + 2.67323i −0.139220 + 0.120764i
\(491\) −4.89169 3.14370i −0.220759 0.141873i 0.425587 0.904917i \(-0.360067\pi\)
−0.646346 + 0.763044i \(0.723704\pi\)
\(492\) −3.60231 + 1.34359i −0.162405 + 0.0605738i
\(493\) −2.00146 3.66541i −0.0901414 0.165082i
\(494\) 22.5267 + 25.9972i 1.01352 + 1.16967i
\(495\) −1.05108 2.81351i −0.0472427 0.126458i
\(496\) −1.86373 0.547242i −0.0836841 0.0245719i
\(497\) 4.64806 + 12.4619i 0.208494 + 0.558994i
\(498\) −1.60606 7.38292i −0.0719691 0.330837i
\(499\) 3.34777 + 11.4015i 0.149867 + 0.510400i 0.999866 0.0163848i \(-0.00521567\pi\)
−0.849999 + 0.526785i \(0.823397\pi\)
\(500\) 3.92378 + 10.4692i 0.175477 + 0.468196i
\(501\) −7.96322 17.4370i −0.355770 0.779028i
\(502\) −9.26016 6.93207i −0.413301 0.309394i
\(503\) −28.3851 6.17480i −1.26563 0.275321i −0.470847 0.882215i \(-0.656052\pi\)
−0.794783 + 0.606894i \(0.792415\pi\)
\(504\) 1.48979 1.71931i 0.0663607 0.0765843i
\(505\) −4.30948 1.60475i −0.191769 0.0714105i
\(506\) 5.68626 + 3.02674i 0.252785 + 0.134555i
\(507\) −6.68087 6.68087i −0.296708 0.296708i
\(508\) 1.33082 + 18.6073i 0.0590455 + 0.825564i
\(509\) 0.413907 + 0.644052i 0.0183461 + 0.0285471i 0.850305 0.526289i \(-0.176417\pi\)
−0.831959 + 0.554837i \(0.812781\pi\)
\(510\) 1.50812 + 2.34394i 0.0667806 + 0.103792i
\(511\) −6.02610 + 2.75203i −0.266579 + 0.121743i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) 6.37227 + 3.47952i 0.281343 + 0.153625i
\(514\) −5.39723 + 8.39825i −0.238062 + 0.370431i
\(515\) −15.8626 + 0.00840759i −0.698988 + 0.000370483i
\(516\) −0.749891 + 2.55389i −0.0330121 + 0.112429i
\(517\) 3.12468 + 0.223481i 0.137423 + 0.00982870i
\(518\) −17.1289 1.22509i −0.752603 0.0538272i
\(519\) 4.23018 14.4067i 0.185684 0.632382i
\(520\) 7.49533 + 7.48739i 0.328692 + 0.328344i
\(521\) −3.23996 + 5.04147i −0.141945 + 0.220871i −0.904946 0.425527i \(-0.860089\pi\)
0.763001 + 0.646398i \(0.223725\pi\)
\(522\) −2.94062 1.60570i −0.128708 0.0702796i
\(523\) 13.1733 9.86138i 0.576027 0.431208i −0.271137 0.962541i \(-0.587400\pi\)
0.847163 + 0.531333i \(0.178309\pi\)
\(524\) 6.54340 2.98827i 0.285850 0.130543i
\(525\) 9.57568 + 6.13958i 0.417917 + 0.267953i
\(526\) −13.2045 20.5466i −0.575744 0.895875i
\(527\) −0.172724 2.41500i −0.00752399 0.105199i
\(528\) 0.949768 + 0.949768i 0.0413334 + 0.0413334i
\(529\) −19.0795 + 12.8442i −0.829543 + 0.558442i
\(530\) 5.53531 14.8648i 0.240439 0.645686i
\(531\) −4.78982 + 5.52774i −0.207860 + 0.239884i
\(532\) −16.1397 3.51098i −0.699745 0.152220i
\(533\) −14.5827 10.9165i −0.631649 0.472846i
\(534\) 0.606252 + 1.32751i 0.0262351 + 0.0574469i
\(535\) −9.25112 31.4448i −0.399961 1.35948i
\(536\) 0.153061 + 0.521277i 0.00661122 + 0.0225157i
\(537\) 4.15917 + 19.1194i 0.179482 + 0.825064i
\(538\) 9.34289 + 25.0493i 0.402801 + 1.07995i
\(539\) −2.35132 0.690410i −0.101279 0.0297381i
\(540\) 2.03449 + 0.927818i 0.0875506 + 0.0399269i
\(541\) −16.0531 18.5263i −0.690178 0.796508i 0.297212 0.954811i \(-0.403943\pi\)
−0.987391 + 0.158303i \(0.949398\pi\)
\(542\) 13.0453 + 23.8906i 0.560343 + 1.02619i
\(543\) 14.2950 5.33177i 0.613458 0.228808i
\(544\) −1.04860 0.673895i −0.0449584 0.0288930i
\(545\) −20.1657 1.43154i −0.863803 0.0613202i
\(546\) 10.6690 + 1.53397i 0.456592 + 0.0656480i
\(547\) 3.18847 8.54863i 0.136329 0.365513i −0.850788 0.525508i \(-0.823875\pi\)
0.987118 + 0.159995i \(0.0511479\pi\)
\(548\) 7.50879 10.0306i 0.320759 0.428484i
\(549\) −7.19548 + 4.62425i −0.307095 + 0.197358i
\(550\) −4.01897 + 5.38060i −0.171370 + 0.229430i
\(551\) 24.3255i 1.03630i
\(552\) −4.58691 + 1.40009i −0.195232 + 0.0595918i
\(553\) −7.64420 + 7.64420i −0.325064 + 0.325064i
\(554\) 2.89601 + 2.50941i 0.123040 + 0.106615i
\(555\) −3.59663 16.4913i −0.152668 0.700019i
\(556\) 0.785736 + 5.46491i 0.0333226 + 0.231764i
\(557\) 26.4041 + 9.84824i 1.11878 + 0.417283i 0.839736 0.542995i \(-0.182710\pi\)
0.279044 + 0.960278i \(0.409983\pi\)
\(558\) −1.16405 1.55498i −0.0492780 0.0658277i
\(559\) −12.1002 + 3.55295i −0.511785 + 0.150274i
\(560\) −5.03561 0.721288i −0.212793 0.0304800i
\(561\) −0.695502 + 1.52294i −0.0293641 + 0.0642984i
\(562\) −4.90792 + 2.67993i −0.207028 + 0.113046i
\(563\) −1.85235 + 25.8992i −0.0780672 + 1.09152i 0.795865 + 0.605474i \(0.207017\pi\)
−0.873932 + 0.486048i \(0.838438\pi\)
\(564\) −1.76262 + 1.52732i −0.0742197 + 0.0643117i
\(565\) −1.42752 9.89141i −0.0600563 0.416135i
\(566\) 7.23814 + 3.30555i 0.304242 + 0.138943i
\(567\) 2.22299 0.483581i 0.0933567 0.0203085i
\(568\) 2.80190 5.13130i 0.117565 0.215305i
\(569\) −3.65181 + 25.3989i −0.153092 + 1.06478i 0.757905 + 0.652364i \(0.226223\pi\)
−0.910997 + 0.412412i \(0.864686\pi\)
\(570\) −1.16675 16.1927i −0.0488698 0.678237i
\(571\) 28.7531 4.13407i 1.20328 0.173005i 0.488631 0.872490i \(-0.337496\pi\)
0.714647 + 0.699485i \(0.246587\pi\)
\(572\) −1.35274 + 6.21846i −0.0565611 + 0.260007i
\(573\) −1.12999 + 0.0808187i −0.0472061 + 0.00337625i
\(574\) 8.74666 0.365079
\(575\) −10.2161 21.6940i −0.426042 0.904703i
\(576\) −1.00000 −0.0416667
\(577\) −23.0725 + 1.65018i −0.960521 + 0.0686978i −0.542786 0.839871i \(-0.682630\pi\)
−0.417735 + 0.908569i \(0.637176\pi\)
\(578\) −3.28335 + 15.0933i −0.136569 + 0.627799i
\(579\) 24.2930 3.49281i 1.00958 0.145156i
\(580\) 0.538422 + 7.47247i 0.0223568 + 0.310277i
\(581\) −2.44622 + 17.0139i −0.101486 + 0.705854i
\(582\) −7.41243 + 13.5749i −0.307255 + 0.562696i
\(583\) 9.31032 2.02534i 0.385594 0.0838809i
\(584\) 2.64886 + 1.20969i 0.109611 + 0.0500575i
\(585\) 1.51330 + 10.4857i 0.0625671 + 0.433532i
\(586\) 11.1209 9.63628i 0.459398 0.398071i
\(587\) 1.64004 22.9308i 0.0676918 0.946455i −0.844201 0.536027i \(-0.819925\pi\)
0.911893 0.410429i \(-0.134621\pi\)
\(588\) 1.60130 0.874376i 0.0660365 0.0360587i
\(589\) −5.85845 + 12.8282i −0.241393 + 0.528577i
\(590\) 16.1899 + 2.31900i 0.666529 + 0.0954718i
\(591\) 25.4274 7.46617i 1.04595 0.307117i
\(592\) 4.52365 + 6.04290i 0.185921 + 0.248361i
\(593\) 3.40466 + 1.26987i 0.139813 + 0.0521475i 0.418397 0.908264i \(-0.362592\pi\)
−0.278584 + 0.960412i \(0.589865\pi\)
\(594\) 0.191154 + 1.32950i 0.00784313 + 0.0545502i
\(595\) −1.35112 6.19520i −0.0553906 0.253978i
\(596\) 2.68244 + 2.32435i 0.109877 + 0.0952089i
\(597\) −7.81889 + 7.81889i −0.320006 + 0.320006i
\(598\) −17.3300 14.6962i −0.708677 0.600973i
\(599\) 9.09232i 0.371502i 0.982597 + 0.185751i \(0.0594718\pi\)
−0.982597 + 0.185751i \(0.940528\pi\)
\(600\) −0.716820 4.94835i −0.0292641 0.202016i
\(601\) −20.1451 + 12.9465i −0.821738 + 0.528099i −0.882643 0.470045i \(-0.844238\pi\)
0.0609048 + 0.998144i \(0.480601\pi\)
\(602\) 3.62883 4.84755i 0.147900 0.197571i
\(603\) −0.189858 + 0.509030i −0.00773163 + 0.0207293i
\(604\) −2.07233 0.297956i −0.0843218 0.0121236i
\(605\) 20.5110 + 1.45605i 0.833891 + 0.0591968i
\(606\) 1.73007 + 1.11185i 0.0702794 + 0.0451658i
\(607\) −39.2893 + 14.6541i −1.59470 + 0.594793i −0.980873 0.194647i \(-0.937644\pi\)
−0.613828 + 0.789440i \(0.710371\pi\)
\(608\) 3.47952 + 6.37227i 0.141113 + 0.258430i
\(609\) 4.99148 + 5.76048i 0.202265 + 0.233426i
\(610\) 17.4016 + 7.93589i 0.704569 + 0.321315i
\(611\) −10.6026 3.11321i −0.428936 0.125947i
\(612\) −0.435598 1.16788i −0.0176080 0.0472089i
\(613\) −2.83795 13.0459i −0.114624 0.526917i −0.998272 0.0587654i \(-0.981284\pi\)
0.883648 0.468152i \(-0.155080\pi\)
\(614\) 5.42283 + 18.4685i 0.218848 + 0.745326i
\(615\) 2.42644 + 8.24754i 0.0978437 + 0.332573i
\(616\) −1.26938 2.77956i −0.0511448 0.111992i
\(617\) 32.2332 + 24.1295i 1.29766 + 0.971416i 0.999859 + 0.0167887i \(0.00534425\pi\)
0.297801 + 0.954628i \(0.403747\pi\)
\(618\) 6.93183 + 1.50793i 0.278839 + 0.0606577i
\(619\) 1.90213 2.19518i 0.0764531 0.0882316i −0.716234 0.697860i \(-0.754136\pi\)
0.792687 + 0.609628i \(0.208681\pi\)
\(620\) −1.51570 + 4.07033i −0.0608718 + 0.163468i
\(621\) −4.51105 1.62800i −0.181022 0.0653295i
\(622\) 16.8339 + 16.8339i 0.674978 + 0.674978i
\(623\) −0.236852 3.31162i −0.00948927 0.132677i
\(624\) −2.56153 3.98582i −0.102543 0.159560i
\(625\) 23.9723 7.09415i 0.958894 0.283766i
\(626\) 20.4991 9.36160i 0.819307 0.374165i
\(627\) 7.80683 5.84412i 0.311775 0.233392i
\(628\) 18.5834 + 10.1473i 0.741557 + 0.404921i
\(629\) −5.08690 + 7.91538i −0.202828 + 0.315607i
\(630\) −3.59896 3.59515i −0.143386 0.143234i
\(631\) −2.96766 + 10.1069i −0.118141 + 0.402350i −0.997236 0.0742952i \(-0.976329\pi\)
0.879096 + 0.476646i \(0.158147\pi\)
\(632\) 4.73982 + 0.338998i 0.188540 + 0.0134846i
\(633\) 12.4808 + 0.892647i 0.496069 + 0.0354795i
\(634\) −3.29782 + 11.2314i −0.130973 + 0.446054i
\(635\) 41.7134 0.0221093i 1.65535 0.000877379i
\(636\) −3.83514 + 5.96759i −0.152073 + 0.236630i
\(637\) 7.58688 + 4.14275i 0.300603 + 0.164142i
\(638\) −3.60263 + 2.69690i −0.142630 + 0.106771i
\(639\) 5.31812 2.42870i 0.210381 0.0960780i
\(640\) 1.20991 + 1.88046i 0.0478258 + 0.0743317i
\(641\) 5.81533 + 9.04883i 0.229692 + 0.357407i 0.936900 0.349598i \(-0.113682\pi\)
−0.707208 + 0.707006i \(0.750046\pi\)
\(642\) 1.04572 + 14.6211i 0.0412715 + 0.577050i
\(643\) 0.515757 + 0.515757i 0.0203395 + 0.0203395i 0.717203 0.696864i \(-0.245422\pi\)
−0.696864 + 0.717203i \(0.745422\pi\)
\(644\) 10.8903 + 0.662353i 0.429138 + 0.0261004i
\(645\) 5.57761 + 2.07697i 0.219618 + 0.0817808i
\(646\) −5.92640 + 6.83943i −0.233171 + 0.269094i
\(647\) −24.6344 5.35888i −0.968477 0.210679i −0.299610 0.954062i \(-0.596857\pi\)
−0.668867 + 0.743382i \(0.733220\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) 4.08117 + 8.93652i 0.160200 + 0.350789i
\(650\) 17.8871 15.5325i 0.701588 0.609233i
\(651\) 1.24496 + 4.23995i 0.0487939 + 0.166177i
\(652\) −4.22010 19.3995i −0.165272 0.759743i
\(653\) 0.721677 + 1.93489i 0.0282414 + 0.0757181i 0.950305 0.311320i \(-0.100771\pi\)
−0.922064 + 0.387038i \(0.873498\pi\)
\(654\) 8.67483 + 2.54716i 0.339213 + 0.0996019i
\(655\) −5.62914 15.0679i −0.219949 0.588752i
\(656\) −2.51776 2.90565i −0.0983019 0.113446i
\(657\) 1.39558 + 2.55581i 0.0544468 + 0.0997118i
\(658\) 4.97135 1.85422i 0.193803 0.0722849i
\(659\) 21.5046 + 13.8202i 0.837701 + 0.538358i 0.887716 0.460391i \(-0.152291\pi\)
−0.0500154 + 0.998748i \(0.515927\pi\)
\(660\) 2.26880 1.96803i 0.0883129 0.0766055i
\(661\) −8.79915 1.26513i −0.342247 0.0492077i −0.0309518 0.999521i \(-0.509854\pi\)
−0.311296 + 0.950313i \(0.600763\pi\)
\(662\) 11.4036 30.5742i 0.443213 1.18830i
\(663\) 3.53917 4.72778i 0.137450 0.183612i
\(664\) 6.35617 4.08486i 0.246667 0.158523i
\(665\) −10.3866 + 35.4430i −0.402775 + 1.37442i
\(666\) 7.54851i 0.292499i
\(667\) −2.45606 15.8794i −0.0950991 0.614852i
\(668\) 13.5547 13.5547i 0.524449 0.524449i
\(669\) 2.63267 + 2.28122i 0.101785 + 0.0881971i
\(670\) 1.18692 0.258858i 0.0458547 0.0100005i
\(671\) 1.63499 + 11.3716i 0.0631181 + 0.438996i
\(672\) 2.13154 + 0.795024i 0.0822260 + 0.0306687i
\(673\) −6.31352 8.43387i −0.243368 0.325102i 0.662180 0.749344i \(-0.269631\pi\)
−0.905549 + 0.424243i \(0.860540\pi\)
\(674\) −10.6836 + 3.13699i −0.411517 + 0.120832i
\(675\) 2.39159 4.39093i 0.0920524 0.169007i
\(676\) 3.92492 8.59437i 0.150958 0.330553i
\(677\) −5.62608 + 3.07207i −0.216228 + 0.118069i −0.583713 0.811960i \(-0.698401\pi\)
0.367485 + 0.930029i \(0.380219\pi\)
\(678\) −0.318844 + 4.45802i −0.0122451 + 0.171209i
\(679\) 26.5922 23.0423i 1.02052 0.884282i
\(680\) −1.66912 + 2.23215i −0.0640080 + 0.0855992i
\(681\) −24.9716 11.4042i −0.956916 0.437009i
\(682\) −2.54938 + 0.554584i −0.0976208 + 0.0212361i
\(683\) −9.84980 + 18.0386i −0.376892 + 0.690227i −0.995426 0.0955313i \(-0.969545\pi\)
0.618534 + 0.785758i \(0.287727\pi\)
\(684\) −1.03326 + 7.18646i −0.0395076 + 0.274781i
\(685\) −21.1838 18.3362i −0.809391 0.700591i
\(686\) −19.8711 + 2.85704i −0.758684 + 0.109082i
\(687\) 1.73041 7.95459i 0.0660194 0.303486i
\(688\) −2.65493 + 0.189884i −0.101218 + 0.00723928i
\(689\) −33.6096 −1.28042
\(690\) 2.39656 + 10.4526i 0.0912355 + 0.397923i
\(691\) 28.7268 1.09282 0.546409 0.837518i \(-0.315994\pi\)
0.546409 + 0.837518i \(0.315994\pi\)
\(692\) 14.9766 1.07115i 0.569326 0.0407190i
\(693\) 0.649535 2.98586i 0.0246738 0.113424i
\(694\) −21.3878 + 3.07511i −0.811871 + 0.116729i
\(695\) 12.3136 0.887250i 0.467083 0.0336553i
\(696\) 0.476819 3.31635i 0.0180738 0.125706i
\(697\) 2.29673 4.20614i 0.0869948 0.159319i
\(698\) 4.59341 0.999235i 0.173863 0.0378216i
\(699\) 11.5282 + 5.26474i 0.436036 + 0.199131i
\(700\) −2.40612 + 11.1175i −0.0909429 + 0.420202i
\(701\) 9.68512 8.39220i 0.365802 0.316969i −0.452493 0.891768i \(-0.649465\pi\)
0.818295 + 0.574799i \(0.194920\pi\)
\(702\) 0.338002 4.72588i 0.0127570 0.178367i
\(703\) 48.1011 26.2652i 1.81417 0.990611i
\(704\) −0.557975 + 1.22180i −0.0210295 + 0.0460481i
\(705\) 3.12753 + 4.17327i 0.117789 + 0.157175i
\(706\) −32.2290 + 9.46330i −1.21296 + 0.356156i
\(707\) −2.80377 3.74540i −0.105447 0.140860i
\(708\) −6.85309 2.55607i −0.257555 0.0960630i
\(709\) −3.32437 23.1215i −0.124849 0.868347i −0.951941 0.306280i \(-0.900916\pi\)
0.827092 0.562067i \(-0.189994\pi\)
\(710\) −11.0015 7.06200i −0.412879 0.265032i
\(711\) 3.59126 + 3.11185i 0.134683 + 0.116703i
\(712\) −1.03194 + 1.03194i −0.0386737 + 0.0386737i
\(713\) 2.52910 8.96561i 0.0947156 0.335765i
\(714\) 2.83570i 0.106123i
\(715\) 13.6558 + 4.00185i 0.510698 + 0.149661i
\(716\) −16.4604 + 10.5785i −0.615156 + 0.395337i
\(717\) −6.63602 + 8.86469i −0.247827 + 0.331058i
\(718\) −3.66976 + 9.83901i −0.136954 + 0.367189i
\(719\) −40.7835 5.86378i −1.52097 0.218682i −0.669389 0.742912i \(-0.733444\pi\)
−0.851577 + 0.524230i \(0.824353\pi\)
\(720\) −0.158337 + 2.23045i −0.00590087 + 0.0831241i
\(721\) −13.5766 8.72518i −0.505621 0.324943i
\(722\) 31.5873 11.7814i 1.17556 0.438460i
\(723\) −10.5215 19.2687i −0.391300 0.716612i
\(724\) 9.99120 + 11.5305i 0.371320 + 0.428526i
\(725\) 16.7523 0.0177583i 0.622163 0.000659527i
\(726\) −8.82338 2.59078i −0.327466 0.0961528i
\(727\) 9.70361 + 26.0164i 0.359887 + 0.964894i 0.983137 + 0.182871i \(0.0585392\pi\)
−0.623250 + 0.782023i \(0.714188\pi\)
\(728\) 2.29119 + 10.5324i 0.0849170 + 0.390357i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 3.11758 5.71663i 0.115387 0.211582i
\(731\) −1.37825 3.01794i −0.0509763 0.111622i
\(732\) −6.84725 5.12579i −0.253082 0.189455i
\(733\) −21.9339 4.77143i −0.810147 0.176237i −0.211633 0.977349i \(-0.567878\pi\)
−0.598514 + 0.801112i \(0.704242\pi\)
\(734\) −0.176258 + 0.203413i −0.00650581 + 0.00750810i
\(735\) −1.69671 3.71008i −0.0625842 0.136848i
\(736\) −2.91478 3.80842i −0.107440 0.140380i
\(737\) 0.515994 + 0.515994i 0.0190069 + 0.0190069i
\(738\) −0.274279 3.83493i −0.0100964 0.141166i
\(739\) 10.8802 + 16.9299i 0.400234 + 0.622777i 0.981619 0.190852i \(-0.0611251\pi\)
−0.581384 + 0.813629i \(0.697489\pi\)
\(740\) 14.1947 9.13299i 0.521806 0.335736i
\(741\) −31.2907 + 14.2900i −1.14949 + 0.524955i
\(742\) 12.9191 9.67114i 0.474276 0.355039i
\(743\) −31.3254 17.1050i −1.14922 0.627520i −0.212346 0.977195i \(-0.568110\pi\)
−0.936871 + 0.349674i \(0.886292\pi\)
\(744\) 1.05015 1.63406i 0.0385003 0.0599077i
\(745\) 5.60908 5.61503i 0.205501 0.205719i
\(746\) −9.29271 + 31.6481i −0.340230 + 1.15872i
\(747\) 7.53634 + 0.539010i 0.275740 + 0.0197213i
\(748\) −1.66997 0.119438i −0.0610601 0.00436710i
\(749\) 9.39515 31.9969i 0.343291 1.16914i
\(750\) −11.1506 + 0.815328i −0.407161 + 0.0297716i
\(751\) 25.1298 39.1027i 0.916999 1.42688i 0.0127287 0.999919i \(-0.495948\pi\)
0.904271 0.426960i \(-0.140415\pi\)
\(752\) −2.04699 1.11774i −0.0746461 0.0407599i
\(753\) 9.26016 6.93207i 0.337459 0.252619i
\(754\) 14.4398 6.59441i 0.525865 0.240154i
\(755\) −0.992703 + 4.57506i −0.0361282 + 0.166503i
\(756\) 1.22995 + 1.91383i 0.0447327 + 0.0696055i
\(757\) −1.19893 16.7632i −0.0435759 0.609271i −0.971582 0.236705i \(-0.923933\pi\)
0.928006 0.372566i \(-0.121522\pi\)
\(758\) −7.78971 7.78971i −0.282935 0.282935i
\(759\) −4.50614 + 4.60320i −0.163563 + 0.167086i
\(760\) 14.7640 6.75195i 0.535546 0.244919i
\(761\) −3.10067 + 3.57836i −0.112399 + 0.129716i −0.809161 0.587587i \(-0.800078\pi\)
0.696762 + 0.717303i \(0.254623\pi\)
\(762\) −18.2285 3.96536i −0.660348 0.143650i
\(763\) −16.4657 12.3261i −0.596099 0.446234i
\(764\) −0.470615 1.03050i −0.0170263 0.0372823i
\(765\) −2.67388 + 0.786663i −0.0966744 + 0.0284418i
\(766\) 10.3782 + 35.3450i 0.374980 + 1.27707i
\(767\) −7.36636 33.8626i −0.265984 1.22271i
\(768\) −0.349464 0.936950i −0.0126102 0.0338093i
\(769\) 46.1229 + 13.5429i 1.66324 + 0.488370i 0.972142 0.234395i \(-0.0753108\pi\)
0.691094 + 0.722765i \(0.257129\pi\)
\(770\) −6.40067 + 2.39119i −0.230664 + 0.0861725i
\(771\) −6.53749 7.54466i −0.235442 0.271714i
\(772\) 11.7621 + 21.5407i 0.423328 + 0.775267i
\(773\) 35.7598 13.3377i 1.28619 0.479725i