Properties

Label 392.2.z.a.205.2
Level $392$
Weight $2$
Character 392.205
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 205.2
Character \(\chi\) \(=\) 392.205
Dual form 392.2.z.a.109.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41279 - 0.0633787i) q^{2} +(-0.0286441 + 0.190041i) q^{3} +(1.99197 + 0.179082i) q^{4} +(-3.07037 + 1.20503i) q^{5} +(0.0525127 - 0.266673i) q^{6} +(0.384038 + 2.61773i) q^{7} +(-2.80289 - 0.379254i) q^{8} +(2.83142 + 0.873378i) q^{9} +O(q^{10})\) \(q+(-1.41279 - 0.0633787i) q^{2} +(-0.0286441 + 0.190041i) q^{3} +(1.99197 + 0.179082i) q^{4} +(-3.07037 + 1.20503i) q^{5} +(0.0525127 - 0.266673i) q^{6} +(0.384038 + 2.61773i) q^{7} +(-2.80289 - 0.379254i) q^{8} +(2.83142 + 0.873378i) q^{9} +(4.41417 - 1.50786i) q^{10} +(-0.799625 - 2.59232i) q^{11} +(-0.0910909 + 0.373426i) q^{12} +(-2.39344 - 0.546288i) q^{13} +(-0.376657 - 3.72265i) q^{14} +(-0.141057 - 0.618013i) q^{15} +(3.93586 + 0.713450i) q^{16} +(-4.97960 - 3.39504i) q^{17} +(-3.94486 - 1.41335i) q^{18} +(-2.12167 - 1.22495i) q^{19} +(-6.33187 + 1.85053i) q^{20} +(-0.508477 - 0.00199956i) q^{21} +(0.965406 + 3.71309i) q^{22} +(-4.24195 + 2.89212i) q^{23} +(0.152360 - 0.521800i) q^{24} +(4.30980 - 3.99891i) q^{25} +(3.34682 + 0.923485i) q^{26} +(-0.497242 + 1.03253i) q^{27} +(0.296202 + 5.28321i) q^{28} +(2.12183 + 4.40602i) q^{29} +(0.160116 + 0.882064i) q^{30} +(-2.86186 - 4.95689i) q^{31} +(-5.51534 - 1.25741i) q^{32} +(0.515551 - 0.0777069i) q^{33} +(6.81997 + 5.11208i) q^{34} +(-4.33358 - 7.57462i) q^{35} +(5.48369 + 2.24680i) q^{36} +(-3.51280 - 0.263248i) q^{37} +(2.91984 + 1.86506i) q^{38} +(0.172375 - 0.439205i) q^{39} +(9.06290 - 2.21311i) q^{40} +(-1.26219 + 1.58274i) q^{41} +(0.718245 + 0.0350515i) q^{42} +(-8.29503 + 6.61506i) q^{43} +(-1.12859 - 5.30701i) q^{44} +(-9.74596 + 0.730359i) q^{45} +(6.17630 - 3.81711i) q^{46} +(-4.91600 - 4.56138i) q^{47} +(-0.248324 + 0.727539i) q^{48} +(-6.70503 + 2.01061i) q^{49} +(-6.34230 + 5.37648i) q^{50} +(0.787832 - 0.849081i) q^{51} +(-4.66983 - 1.51681i) q^{52} +(11.7885 - 0.883424i) q^{53} +(0.767941 - 1.42724i) q^{54} +(5.57897 + 6.99580i) q^{55} +(-0.0836298 - 7.48285i) q^{56} +(0.293563 - 0.368116i) q^{57} +(-2.71845 - 6.35927i) q^{58} +(-8.66453 - 3.40058i) q^{59} +(-0.170307 - 1.25632i) q^{60} +(2.16600 + 0.162320i) q^{61} +(3.72905 + 7.18443i) q^{62} +(-1.19890 + 7.74731i) q^{63} +(7.71233 + 2.12601i) q^{64} +(8.00705 - 1.20687i) q^{65} +(-0.733292 + 0.0771088i) q^{66} +(4.07561 - 2.35306i) q^{67} +(-9.31121 - 7.65455i) q^{68} +(-0.428114 - 0.888987i) q^{69} +(5.64239 + 10.9760i) q^{70} +(-7.32647 - 3.52824i) q^{71} +(-7.60492 - 3.52181i) q^{72} +(1.71039 - 1.58701i) q^{73} +(4.94618 + 0.594552i) q^{74} +(0.636507 + 0.933584i) q^{75} +(-4.00693 - 2.82000i) q^{76} +(6.47891 - 3.08875i) q^{77} +(-0.271366 + 0.609580i) q^{78} +(-4.47482 + 7.75061i) q^{79} +(-12.9443 + 2.55228i) q^{80} +(7.16261 + 4.88339i) q^{81} +(1.88353 - 2.15609i) q^{82} +(3.55762 - 0.812003i) q^{83} +(-1.01251 - 0.0950420i) q^{84} +(19.3803 + 4.42343i) q^{85} +(12.1384 - 8.81999i) q^{86} +(-0.898102 + 0.277028i) q^{87} +(1.25811 + 7.56923i) q^{88} +(14.8093 + 4.56807i) q^{89} +(13.8153 - 0.414160i) q^{90} +(0.510862 - 6.47519i) q^{91} +(-8.96776 + 5.00134i) q^{92} +(1.02399 - 0.401885i) q^{93} +(6.65619 + 6.75585i) q^{94} +(7.99040 + 1.20436i) q^{95} +(0.396940 - 1.01212i) q^{96} +8.27599 q^{97} +(9.60025 - 2.41563i) q^{98} -8.03833i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41279 0.0633787i −0.998995 0.0448155i
\(3\) −0.0286441 + 0.190041i −0.0165377 + 0.109720i −0.995577 0.0939526i \(-0.970050\pi\)
0.979039 + 0.203673i \(0.0652879\pi\)
\(4\) 1.99197 + 0.179082i 0.995983 + 0.0895409i
\(5\) −3.07037 + 1.20503i −1.37311 + 0.538906i −0.933272 0.359171i \(-0.883060\pi\)
−0.439838 + 0.898077i \(0.644964\pi\)
\(6\) 0.0525127 0.266673i 0.0214382 0.108869i
\(7\) 0.384038 + 2.61773i 0.145153 + 0.989409i
\(8\) −2.80289 0.379254i −0.990970 0.134086i
\(9\) 2.83142 + 0.873378i 0.943808 + 0.291126i
\(10\) 4.41417 1.50786i 1.39588 0.476828i
\(11\) −0.799625 2.59232i −0.241096 0.781614i −0.992551 0.121829i \(-0.961124\pi\)
0.751455 0.659784i \(-0.229352\pi\)
\(12\) −0.0910909 + 0.373426i −0.0262957 + 0.107799i
\(13\) −2.39344 0.546288i −0.663822 0.151513i −0.122683 0.992446i \(-0.539150\pi\)
−0.541139 + 0.840933i \(0.682007\pi\)
\(14\) −0.376657 3.72265i −0.100666 0.994920i
\(15\) −0.141057 0.618013i −0.0364209 0.159570i
\(16\) 3.93586 + 0.713450i 0.983965 + 0.178362i
\(17\) −4.97960 3.39504i −1.20773 0.823417i −0.219385 0.975638i \(-0.570405\pi\)
−0.988346 + 0.152221i \(0.951357\pi\)
\(18\) −3.94486 1.41335i −0.929813 0.333131i
\(19\) −2.12167 1.22495i −0.486744 0.281022i 0.236479 0.971637i \(-0.424007\pi\)
−0.723223 + 0.690615i \(0.757340\pi\)
\(20\) −6.33187 + 1.85053i −1.41585 + 0.413792i
\(21\) −0.508477 0.00199956i −0.110959 0.000436339i
\(22\) 0.965406 + 3.71309i 0.205825 + 0.791633i
\(23\) −4.24195 + 2.89212i −0.884509 + 0.603048i −0.918083 0.396388i \(-0.870263\pi\)
0.0335742 + 0.999436i \(0.489311\pi\)
\(24\) 0.152360 0.521800i 0.0311003 0.106512i
\(25\) 4.30980 3.99891i 0.861960 0.799782i
\(26\) 3.34682 + 0.923485i 0.656365 + 0.181110i
\(27\) −0.497242 + 1.03253i −0.0956944 + 0.198711i
\(28\) 0.296202 + 5.28321i 0.0559770 + 0.998432i
\(29\) 2.12183 + 4.40602i 0.394013 + 0.818177i 0.999747 + 0.0225095i \(0.00716561\pi\)
−0.605733 + 0.795668i \(0.707120\pi\)
\(30\) 0.160116 + 0.882064i 0.0292331 + 0.161042i
\(31\) −2.86186 4.95689i −0.514005 0.890283i −0.999868 0.0162480i \(-0.994828\pi\)
0.485863 0.874035i \(-0.338505\pi\)
\(32\) −5.51534 1.25741i −0.974983 0.222280i
\(33\) 0.515551 0.0777069i 0.0897460 0.0135270i
\(34\) 6.81997 + 5.11208i 1.16962 + 0.876715i
\(35\) −4.33358 7.57462i −0.732509 1.28034i
\(36\) 5.48369 + 2.24680i 0.913949 + 0.374466i
\(37\) −3.51280 0.263248i −0.577501 0.0432777i −0.217222 0.976122i \(-0.569700\pi\)
−0.360279 + 0.932845i \(0.617319\pi\)
\(38\) 2.91984 + 1.86506i 0.473661 + 0.302553i
\(39\) 0.172375 0.439205i 0.0276021 0.0703290i
\(40\) 9.06290 2.21311i 1.43297 0.349924i
\(41\) −1.26219 + 1.58274i −0.197121 + 0.247183i −0.870562 0.492059i \(-0.836244\pi\)
0.673440 + 0.739242i \(0.264816\pi\)
\(42\) 0.718245 + 0.0350515i 0.110828 + 0.00540857i
\(43\) −8.29503 + 6.61506i −1.26498 + 1.00879i −0.265985 + 0.963977i \(0.585697\pi\)
−0.998995 + 0.0448107i \(0.985732\pi\)
\(44\) −1.12859 5.30701i −0.170141 0.800062i
\(45\) −9.74596 + 0.730359i −1.45284 + 0.108875i
\(46\) 6.17630 3.81711i 0.910646 0.562802i
\(47\) −4.91600 4.56138i −0.717072 0.665345i 0.234730 0.972061i \(-0.424580\pi\)
−0.951801 + 0.306715i \(0.900770\pi\)
\(48\) −0.248324 + 0.727539i −0.0358425 + 0.105011i
\(49\) −6.70503 + 2.01061i −0.957861 + 0.287231i
\(50\) −6.34230 + 5.37648i −0.896937 + 0.760350i
\(51\) 0.787832 0.849081i 0.110319 0.118895i
\(52\) −4.66983 1.51681i −0.647589 0.210344i
\(53\) 11.7885 0.883424i 1.61927 0.121348i 0.766009 0.642830i \(-0.222240\pi\)
0.853262 + 0.521483i \(0.174621\pi\)
\(54\) 0.767941 1.42724i 0.104504 0.194223i
\(55\) 5.57897 + 6.99580i 0.752268 + 0.943314i
\(56\) −0.0836298 7.48285i −0.0111755 0.999938i
\(57\) 0.293563 0.368116i 0.0388834 0.0487582i
\(58\) −2.71845 6.35927i −0.356951 0.835013i
\(59\) −8.66453 3.40058i −1.12803 0.442717i −0.273368 0.961910i \(-0.588138\pi\)
−0.854657 + 0.519192i \(0.826233\pi\)
\(60\) −0.170307 1.25632i −0.0219865 0.162190i
\(61\) 2.16600 + 0.162320i 0.277328 + 0.0207829i 0.212668 0.977124i \(-0.431785\pi\)
0.0646601 + 0.997907i \(0.479404\pi\)
\(62\) 3.72905 + 7.18443i 0.473590 + 0.912424i
\(63\) −1.19890 + 7.74731i −0.151047 + 0.976070i
\(64\) 7.71233 + 2.12601i 0.964042 + 0.265751i
\(65\) 8.00705 1.20687i 0.993152 0.149694i
\(66\) −0.733292 + 0.0771088i −0.0902620 + 0.00949143i
\(67\) 4.07561 2.35306i 0.497915 0.287471i −0.229937 0.973206i \(-0.573852\pi\)
0.727852 + 0.685734i \(0.240519\pi\)
\(68\) −9.31121 7.65455i −1.12915 0.928251i
\(69\) −0.428114 0.888987i −0.0515388 0.107022i
\(70\) 5.64239 + 10.9760i 0.674394 + 1.31189i
\(71\) −7.32647 3.52824i −0.869491 0.418725i −0.0547162 0.998502i \(-0.517425\pi\)
−0.814775 + 0.579777i \(0.803140\pi\)
\(72\) −7.60492 3.52181i −0.896249 0.415049i
\(73\) 1.71039 1.58701i 0.200186 0.185746i −0.573709 0.819059i \(-0.694496\pi\)
0.773896 + 0.633313i \(0.218306\pi\)
\(74\) 4.94618 + 0.594552i 0.574981 + 0.0691152i
\(75\) 0.636507 + 0.933584i 0.0734975 + 0.107801i
\(76\) −4.00693 2.82000i −0.459626 0.323476i
\(77\) 6.47891 3.08875i 0.738340 0.351996i
\(78\) −0.271366 + 0.609580i −0.0307262 + 0.0690214i
\(79\) −4.47482 + 7.75061i −0.503456 + 0.872012i 0.496536 + 0.868016i \(0.334605\pi\)
−0.999992 + 0.00399575i \(0.998728\pi\)
\(80\) −12.9443 + 2.55228i −1.44721 + 0.285353i
\(81\) 7.16261 + 4.88339i 0.795846 + 0.542599i
\(82\) 1.88353 2.15609i 0.208001 0.238100i
\(83\) 3.55762 0.812003i 0.390499 0.0891289i −0.0227631 0.999741i \(-0.507246\pi\)
0.413262 + 0.910612i \(0.364389\pi\)
\(84\) −1.01251 0.0950420i −0.110474 0.0103699i
\(85\) 19.3803 + 4.42343i 2.10209 + 0.479789i
\(86\) 12.1384 8.81999i 1.30892 0.951084i
\(87\) −0.898102 + 0.277028i −0.0962867 + 0.0297005i
\(88\) 1.25811 + 7.56923i 0.134115 + 0.806883i
\(89\) 14.8093 + 4.56807i 1.56978 + 0.484214i 0.953013 0.302928i \(-0.0979642\pi\)
0.616771 + 0.787142i \(0.288440\pi\)
\(90\) 13.8153 0.414160i 1.45626 0.0436562i
\(91\) 0.510862 6.47519i 0.0535529 0.678784i
\(92\) −8.96776 + 5.00134i −0.934953 + 0.521426i
\(93\) 1.02399 0.401885i 0.106183 0.0416736i
\(94\) 6.65619 + 6.75585i 0.686533 + 0.696813i
\(95\) 7.99040 + 1.20436i 0.819797 + 0.123565i
\(96\) 0.396940 1.01212i 0.0405126 0.103299i
\(97\) 8.27599 0.840299 0.420150 0.907455i \(-0.361978\pi\)
0.420150 + 0.907455i \(0.361978\pi\)
\(98\) 9.60025 2.41563i 0.969771 0.244015i
\(99\) 8.03833i 0.807882i
\(100\) 9.30111 7.19389i 0.930111 0.719389i
\(101\) −2.04445 + 13.5641i −0.203431 + 1.34968i 0.621044 + 0.783776i \(0.286709\pi\)
−0.824474 + 0.565899i \(0.808529\pi\)
\(102\) −1.16686 + 1.14964i −0.115536 + 0.113832i
\(103\) 1.00863 + 2.56994i 0.0993830 + 0.253224i 0.971915 0.235334i \(-0.0756184\pi\)
−0.872532 + 0.488558i \(0.837523\pi\)
\(104\) 6.50137 + 2.43890i 0.637511 + 0.239154i
\(105\) 1.56362 0.606591i 0.152594 0.0591972i
\(106\) −16.7107 + 0.500957i −1.62308 + 0.0486572i
\(107\) −0.338042 + 1.09590i −0.0326797 + 0.105945i −0.970443 0.241329i \(-0.922417\pi\)
0.937764 + 0.347274i \(0.112893\pi\)
\(108\) −1.17540 + 1.96773i −0.113103 + 0.189345i
\(109\) −1.39320 4.51664i −0.133444 0.432616i 0.864047 0.503412i \(-0.167922\pi\)
−0.997491 + 0.0707962i \(0.977446\pi\)
\(110\) −7.43854 10.2372i −0.709237 0.976079i
\(111\) 0.150649 0.660036i 0.0142990 0.0626478i
\(112\) −0.356101 + 10.5770i −0.0336484 + 0.999434i
\(113\) −0.957673 4.19584i −0.0900903 0.394711i 0.909698 0.415270i \(-0.136313\pi\)
−0.999789 + 0.0205583i \(0.993456\pi\)
\(114\) −0.438075 + 0.501467i −0.0410294 + 0.0469667i
\(115\) 9.53927 13.9915i 0.889542 1.30472i
\(116\) 3.43757 + 9.15662i 0.319170 + 0.850171i
\(117\) −6.29974 3.63715i −0.582411 0.336255i
\(118\) 12.0257 + 5.35345i 1.10705 + 0.492825i
\(119\) 6.97493 14.3391i 0.639391 1.31446i
\(120\) 0.160984 + 1.78572i 0.0146958 + 0.163013i
\(121\) 3.00791 2.05076i 0.273446 0.186432i
\(122\) −3.04983 0.366602i −0.276118 0.0331906i
\(123\) −0.264631 0.285205i −0.0238610 0.0257160i
\(124\) −4.81304 10.3865i −0.432224 0.932731i
\(125\) −1.25832 + 2.61292i −0.112547 + 0.233707i
\(126\) 2.18481 10.8694i 0.194638 0.968320i
\(127\) −15.0001 + 7.22368i −1.33105 + 0.640998i −0.957988 0.286810i \(-0.907405\pi\)
−0.373058 + 0.927808i \(0.621691\pi\)
\(128\) −10.7612 3.49241i −0.951163 0.308688i
\(129\) −1.01953 1.76588i −0.0897646 0.155477i
\(130\) −11.3888 + 1.19758i −0.998863 + 0.105035i
\(131\) 2.74134 + 18.1876i 0.239512 + 1.58906i 0.708408 + 0.705803i \(0.249414\pi\)
−0.468896 + 0.883253i \(0.655348\pi\)
\(132\) 1.04088 0.0624636i 0.0905967 0.00543676i
\(133\) 2.39178 6.02438i 0.207393 0.522380i
\(134\) −5.90713 + 3.06607i −0.510298 + 0.264868i
\(135\) 0.282481 3.76945i 0.0243121 0.324423i
\(136\) 12.6697 + 11.4044i 1.08642 + 0.977922i
\(137\) −8.50701 + 21.6755i −0.726803 + 1.85186i −0.267610 + 0.963527i \(0.586234\pi\)
−0.459193 + 0.888337i \(0.651861\pi\)
\(138\) 0.548493 + 1.28309i 0.0466908 + 0.109224i
\(139\) 7.85277 + 6.26237i 0.666063 + 0.531168i 0.897128 0.441771i \(-0.145650\pi\)
−0.231065 + 0.972938i \(0.574221\pi\)
\(140\) −7.27587 15.8645i −0.614924 1.34079i
\(141\) 1.00766 0.803584i 0.0848605 0.0676740i
\(142\) 10.1272 + 5.44901i 0.849853 + 0.457271i
\(143\) 0.497704 + 6.64140i 0.0416201 + 0.555381i
\(144\) 10.5210 + 5.45757i 0.876748 + 0.454798i
\(145\) −11.8242 10.9712i −0.981945 0.911112i
\(146\) −2.51701 + 2.13372i −0.208310 + 0.176588i
\(147\) −0.190040 1.33182i −0.0156742 0.109847i
\(148\) −6.95024 1.15346i −0.571306 0.0948139i
\(149\) −6.96226 + 7.50353i −0.570371 + 0.614713i −0.950690 0.310142i \(-0.899624\pi\)
0.380320 + 0.924855i \(0.375814\pi\)
\(150\) −0.840083 1.35930i −0.0685925 0.110987i
\(151\) −1.10581 14.7560i −0.0899897 1.20083i −0.841184 0.540749i \(-0.818141\pi\)
0.751195 0.660081i \(-0.229478\pi\)
\(152\) 5.48223 + 4.23803i 0.444667 + 0.343750i
\(153\) −11.1342 13.9619i −0.900148 1.12875i
\(154\) −9.34911 + 3.95314i −0.753373 + 0.318553i
\(155\) 14.7602 + 11.7708i 1.18556 + 0.945456i
\(156\) 0.422019 0.844011i 0.0337886 0.0675750i
\(157\) 0.0251994 + 0.00989005i 0.00201113 + 0.000789312i 0.366346 0.930479i \(-0.380609\pi\)
−0.364335 + 0.931268i \(0.618704\pi\)
\(158\) 6.81321 10.6664i 0.542030 0.848573i
\(159\) −0.169783 + 2.26560i −0.0134647 + 0.179674i
\(160\) 18.4493 2.78545i 1.45855 0.220209i
\(161\) −9.19985 9.99361i −0.725050 0.787607i
\(162\) −9.80979 7.35317i −0.770730 0.577720i
\(163\) 0.573343 + 3.80388i 0.0449077 + 0.297943i 0.999999 + 0.00163022i \(0.000518917\pi\)
−0.955091 + 0.296313i \(0.904243\pi\)
\(164\) −2.79769 + 2.92673i −0.218463 + 0.228539i
\(165\) −1.48929 + 0.859844i −0.115941 + 0.0669388i
\(166\) −5.07764 + 0.921715i −0.394101 + 0.0715390i
\(167\) −12.0130 + 5.78516i −0.929594 + 0.447669i −0.836487 0.547987i \(-0.815394\pi\)
−0.0931073 + 0.995656i \(0.529680\pi\)
\(168\) 1.42444 + 0.198446i 0.109898 + 0.0153105i
\(169\) −6.28245 3.02547i −0.483266 0.232728i
\(170\) −27.1000 7.47770i −2.07848 0.573513i
\(171\) −4.93750 5.32136i −0.377580 0.406934i
\(172\) −17.7081 + 11.6915i −1.35023 + 0.891468i
\(173\) 9.83790 + 14.4296i 0.747962 + 1.09706i 0.991869 + 0.127260i \(0.0406183\pi\)
−0.243908 + 0.969798i \(0.578429\pi\)
\(174\) 1.28639 0.334462i 0.0975210 0.0253555i
\(175\) 12.1232 + 9.74617i 0.916428 + 0.736741i
\(176\) −1.29772 10.7735i −0.0978193 0.812083i
\(177\) 0.894436 1.54921i 0.0672299 0.116446i
\(178\) −20.6330 7.39233i −1.54651 0.554079i
\(179\) 12.4365 18.2410i 0.929548 1.36340i −0.00208590 0.999998i \(-0.500664\pi\)
0.931634 0.363399i \(-0.118384\pi\)
\(180\) −19.5444 0.290474i −1.45675 0.0216507i
\(181\) −15.8757 + 3.62353i −1.18003 + 0.269335i −0.767161 0.641455i \(-0.778331\pi\)
−0.412871 + 0.910789i \(0.635474\pi\)
\(182\) −1.13213 + 9.11572i −0.0839191 + 0.675702i
\(183\) −0.0928906 + 0.406980i −0.00686667 + 0.0300848i
\(184\) 12.9866 6.49749i 0.957382 0.479001i
\(185\) 11.1028 3.42477i 0.816295 0.251794i
\(186\) −1.47215 + 0.502882i −0.107943 + 0.0368731i
\(187\) −4.81920 + 15.6235i −0.352415 + 1.14250i
\(188\) −8.97564 9.96648i −0.654616 0.726880i
\(189\) −2.89386 0.905115i −0.210497 0.0658374i
\(190\) −11.2124 2.20793i −0.813436 0.160180i
\(191\) −1.08676 2.76901i −0.0786350 0.200359i 0.886150 0.463399i \(-0.153370\pi\)
−0.964785 + 0.263040i \(0.915275\pi\)
\(192\) −0.624942 + 1.40476i −0.0451013 + 0.101380i
\(193\) −7.96408 1.20039i −0.573267 0.0864061i −0.143990 0.989579i \(-0.545993\pi\)
−0.429277 + 0.903173i \(0.641232\pi\)
\(194\) −11.6923 0.524521i −0.839455 0.0376584i
\(195\) 1.55624i 0.111444i
\(196\) −13.7163 + 2.80433i −0.979733 + 0.200309i
\(197\) 2.38636i 0.170021i 0.996380 + 0.0850106i \(0.0270924\pi\)
−0.996380 + 0.0850106i \(0.972908\pi\)
\(198\) −0.509458 + 11.3565i −0.0362056 + 0.807071i
\(199\) −4.67611 0.704810i −0.331480 0.0499626i −0.0188065 0.999823i \(-0.505987\pi\)
−0.312674 + 0.949861i \(0.601225\pi\)
\(200\) −13.5965 + 9.57398i −0.961416 + 0.676983i
\(201\) 0.330435 + 0.841934i 0.0233071 + 0.0593855i
\(202\) 3.74806 19.0336i 0.263713 1.33920i
\(203\) −10.7189 + 7.24645i −0.752320 + 0.508601i
\(204\) 1.72139 1.55025i 0.120521 0.108540i
\(205\) 1.96815 6.38058i 0.137461 0.445639i
\(206\) −1.26210 3.69472i −0.0879348 0.257423i
\(207\) −14.5367 + 4.48397i −1.01037 + 0.311658i
\(208\) −9.03051 3.85771i −0.626153 0.267484i
\(209\) −1.47891 + 6.47954i −0.102298 + 0.448199i
\(210\) −2.24752 + 0.757887i −0.155093 + 0.0522991i
\(211\) 2.87497 0.656192i 0.197921 0.0451741i −0.122411 0.992479i \(-0.539063\pi\)
0.320332 + 0.947305i \(0.396206\pi\)
\(212\) 23.6404 + 0.351350i 1.62363 + 0.0241308i
\(213\) 0.880370 1.29127i 0.0603220 0.0884761i
\(214\) 0.547040 1.52686i 0.0373949 0.104374i
\(215\) 17.4974 30.3064i 1.19332 2.06688i
\(216\) 1.78531 2.70550i 0.121475 0.184086i
\(217\) 11.8767 9.39521i 0.806245 0.637788i
\(218\) 1.68204 + 6.46938i 0.113922 + 0.438161i
\(219\) 0.252605 + 0.370503i 0.0170695 + 0.0250363i
\(220\) 9.86029 + 14.9345i 0.664781 + 1.00688i
\(221\) 10.0637 + 10.8461i 0.676960 + 0.729589i
\(222\) −0.254668 + 0.922946i −0.0170922 + 0.0619441i
\(223\) 20.1962 + 9.72600i 1.35244 + 0.651301i 0.962938 0.269724i \(-0.0869326\pi\)
0.389503 + 0.921025i \(0.372647\pi\)
\(224\) 1.17345 14.9206i 0.0784047 0.996922i
\(225\) 15.6954 7.55852i 1.04636 0.503902i
\(226\) 1.08707 + 5.98855i 0.0723106 + 0.398352i
\(227\) −5.31592 + 3.06915i −0.352830 + 0.203706i −0.665931 0.746013i \(-0.731965\pi\)
0.313101 + 0.949720i \(0.398632\pi\)
\(228\) 0.650691 0.680704i 0.0430930 0.0450807i
\(229\) −3.85557 25.5801i −0.254784 1.69038i −0.640657 0.767827i \(-0.721338\pi\)
0.385874 0.922552i \(-0.373900\pi\)
\(230\) −14.3638 + 19.1626i −0.947120 + 1.26354i
\(231\) 0.401407 + 1.31973i 0.0264106 + 0.0868320i
\(232\) −4.27624 13.1543i −0.280749 0.863621i
\(233\) 1.65185 22.0424i 0.108216 1.44405i −0.633713 0.773569i \(-0.718470\pi\)
0.741929 0.670478i \(-0.233911\pi\)
\(234\) 8.66970 + 5.53781i 0.566756 + 0.362018i
\(235\) 20.5905 + 8.08118i 1.34318 + 0.527158i
\(236\) −16.6505 8.32549i −1.08385 0.541943i
\(237\) −1.34476 1.07241i −0.0873514 0.0696604i
\(238\) −10.7629 + 19.8161i −0.697657 + 1.28449i
\(239\) 12.1161 + 15.1931i 0.783724 + 0.982759i 0.999979 + 0.00642231i \(0.00204430\pi\)
−0.216255 + 0.976337i \(0.569384\pi\)
\(240\) −0.114261 2.53305i −0.00737551 0.163508i
\(241\) 1.82741 + 24.3851i 0.117714 + 1.57078i 0.673331 + 0.739342i \(0.264863\pi\)
−0.555617 + 0.831438i \(0.687518\pi\)
\(242\) −4.37952 + 2.70666i −0.281526 + 0.173990i
\(243\) −3.47170 + 3.74160i −0.222710 + 0.240024i
\(244\) 4.28554 + 0.711227i 0.274353 + 0.0455316i
\(245\) 18.1641 14.2531i 1.16046 0.910597i
\(246\) 0.355793 + 0.419707i 0.0226845 + 0.0267595i
\(247\) 4.40892 + 4.09088i 0.280533 + 0.260296i
\(248\) 6.14155 + 14.9790i 0.389989 + 0.951165i
\(249\) 0.0524092 + 0.699353i 0.00332130 + 0.0443197i
\(250\) 1.94334 3.61176i 0.122908 0.228428i
\(251\) −18.9035 + 15.0750i −1.19318 + 0.951526i −0.999563 0.0295520i \(-0.990592\pi\)
−0.193613 + 0.981078i \(0.562021\pi\)
\(252\) −3.77556 + 15.2177i −0.237838 + 0.958624i
\(253\) 10.8893 + 8.68389i 0.684602 + 0.545952i
\(254\) 21.6499 9.25487i 1.35844 0.580702i
\(255\) −1.39577 + 3.55635i −0.0874063 + 0.222707i
\(256\) 14.9820 + 5.61608i 0.936374 + 0.351005i
\(257\) −0.531963 + 7.09855i −0.0331829 + 0.442796i 0.955725 + 0.294263i \(0.0950741\pi\)
−0.988907 + 0.148533i \(0.952545\pi\)
\(258\) 1.32847 + 2.55944i 0.0827067 + 0.159344i
\(259\) −0.659936 9.29667i −0.0410064 0.577667i
\(260\) 16.1659 0.970124i 1.00257 0.0601645i
\(261\) 2.15967 + 14.3285i 0.133680 + 0.886910i
\(262\) −2.72024 25.8690i −0.168057 1.59819i
\(263\) −10.2569 17.7654i −0.632466 1.09546i −0.987046 0.160438i \(-0.948709\pi\)
0.354580 0.935026i \(-0.384624\pi\)
\(264\) −1.47450 + 0.0222787i −0.0907493 + 0.00137116i
\(265\) −35.1304 + 16.9179i −2.15804 + 1.03926i
\(266\) −3.76090 + 8.35961i −0.230596 + 0.512561i
\(267\) −1.29232 + 2.68353i −0.0790887 + 0.164229i
\(268\) 8.53987 3.95734i 0.521656 0.241733i
\(269\) −14.2172 15.3225i −0.866840 0.934231i 0.131530 0.991312i \(-0.458011\pi\)
−0.998370 + 0.0570813i \(0.981821\pi\)
\(270\) −0.637991 + 5.30755i −0.0388269 + 0.323007i
\(271\) 1.61819 1.10326i 0.0982980 0.0670185i −0.513174 0.858285i \(-0.671530\pi\)
0.611472 + 0.791266i \(0.290578\pi\)
\(272\) −17.1768 16.9151i −1.04150 1.02563i
\(273\) 1.21592 + 0.282560i 0.0735907 + 0.0171013i
\(274\) 13.3924 30.0838i 0.809065 1.81743i
\(275\) −13.8127 7.97475i −0.832936 0.480896i
\(276\) −0.693587 1.84750i −0.0417490 0.111206i
\(277\) 3.12516 4.58377i 0.187773 0.275412i −0.720796 0.693147i \(-0.756224\pi\)
0.908569 + 0.417735i \(0.137176\pi\)
\(278\) −10.6974 9.34513i −0.641589 0.560484i
\(279\) −3.77390 16.5345i −0.225937 0.989896i
\(280\) 9.27383 + 22.8743i 0.554218 + 1.36700i
\(281\) −3.89171 + 17.0507i −0.232160 + 1.01716i 0.715684 + 0.698424i \(0.246115\pi\)
−0.947844 + 0.318735i \(0.896742\pi\)
\(282\) −1.47455 + 1.07143i −0.0878081 + 0.0638030i
\(283\) 0.944613 + 3.06236i 0.0561514 + 0.182038i 0.979304 0.202396i \(-0.0648727\pi\)
−0.923152 + 0.384434i \(0.874397\pi\)
\(284\) −13.9622 8.34017i −0.828506 0.494898i
\(285\) −0.457755 + 1.48401i −0.0271151 + 0.0879049i
\(286\) −0.282229 9.41446i −0.0166886 0.556689i
\(287\) −4.62792 2.69625i −0.273177 0.159155i
\(288\) −14.5181 8.37722i −0.855485 0.493633i
\(289\) 7.05938 + 17.9870i 0.415258 + 1.05806i
\(290\) 16.0098 + 16.2495i 0.940126 + 0.954202i
\(291\) −0.237058 + 1.57278i −0.0138966 + 0.0921978i
\(292\) 3.69125 2.85498i 0.216014 0.167075i
\(293\) 10.2305i 0.597671i −0.954305 0.298836i \(-0.903402\pi\)
0.954305 0.298836i \(-0.0965982\pi\)
\(294\) 0.184078 + 1.89363i 0.0107356 + 0.110439i
\(295\) 30.7011 1.78749
\(296\) 9.74614 + 2.07010i 0.566483 + 0.120322i
\(297\) 3.07427 + 0.463371i 0.178387 + 0.0268875i
\(298\) 10.3118 10.1597i 0.597346 0.588534i
\(299\) 11.7328 4.60479i 0.678526 0.266302i
\(300\) 1.10071 + 1.97365i 0.0635497 + 0.113949i
\(301\) −20.5021 19.1737i −1.18172 1.10515i
\(302\) 0.627065 + 20.9173i 0.0360836 + 1.20366i
\(303\) −2.51917 0.777060i −0.144722 0.0446409i
\(304\) −7.47665 6.33492i −0.428815 0.363332i
\(305\) −6.84603 + 2.11172i −0.392002 + 0.120917i
\(306\) 14.8454 + 20.4309i 0.848658 + 1.16796i
\(307\) −13.0544 2.97958i −0.745052 0.170053i −0.166891 0.985975i \(-0.553373\pi\)
−0.578162 + 0.815922i \(0.696230\pi\)
\(308\) 13.4589 4.99243i 0.766892 0.284470i
\(309\) −0.517285 + 0.118067i −0.0294273 + 0.00671659i
\(310\) −20.1070 17.5652i −1.14200 0.997638i
\(311\) −8.88578 6.05822i −0.503866 0.343530i 0.284561 0.958658i \(-0.408152\pi\)
−0.788428 + 0.615128i \(0.789104\pi\)
\(312\) −0.649718 + 1.16567i −0.0367830 + 0.0659929i
\(313\) −14.0410 + 24.3197i −0.793642 + 1.37463i 0.130055 + 0.991507i \(0.458485\pi\)
−0.923698 + 0.383122i \(0.874849\pi\)
\(314\) −0.0349748 0.0155697i −0.00197374 0.000878649i
\(315\) −5.65470 25.2318i −0.318606 1.42165i
\(316\) −10.3017 + 14.6376i −0.579515 + 0.823429i
\(317\) 10.4379 + 15.3096i 0.586251 + 0.859872i 0.998693 0.0511118i \(-0.0162765\pi\)
−0.412442 + 0.910984i \(0.635324\pi\)
\(318\) 0.383459 3.19006i 0.0215033 0.178890i
\(319\) 9.72514 9.02362i 0.544504 0.505225i
\(320\) −26.2416 + 2.76597i −1.46695 + 0.154622i
\(321\) −0.198584 0.0956329i −0.0110839 0.00533771i
\(322\) 12.3641 + 14.7020i 0.689024 + 0.819309i
\(323\) 6.40633 + 13.3029i 0.356458 + 0.740192i
\(324\) 13.3932 + 11.0102i 0.744064 + 0.611680i
\(325\) −12.4998 + 7.21678i −0.693365 + 0.400315i
\(326\) −0.568929 5.41043i −0.0315101 0.299656i
\(327\) 0.898254 0.135390i 0.0496736 0.00748708i
\(328\) 4.13804 3.95755i 0.228485 0.218519i
\(329\) 10.0525 14.6205i 0.554214 0.806054i
\(330\) 2.15856 1.12039i 0.118825 0.0616755i
\(331\) −11.3319 0.849208i −0.622857 0.0466767i −0.240436 0.970665i \(-0.577291\pi\)
−0.382421 + 0.923988i \(0.624910\pi\)
\(332\) 7.23207 0.980378i 0.396911 0.0538052i
\(333\) −9.71631 3.81337i −0.532451 0.208972i
\(334\) 17.3385 7.41186i 0.948723 0.405559i
\(335\) −9.67812 + 12.1360i −0.528772 + 0.663060i
\(336\) −1.99987 0.370643i −0.109102 0.0202202i
\(337\) −8.92254 11.1885i −0.486042 0.609477i 0.476976 0.878917i \(-0.341733\pi\)
−0.963017 + 0.269439i \(0.913162\pi\)
\(338\) 8.68405 + 4.67254i 0.472350 + 0.254152i
\(339\) 0.824813 0.0618112i 0.0447977 0.00335712i
\(340\) 37.8128 + 12.2820i 2.05069 + 0.666085i
\(341\) −10.5614 + 11.3825i −0.571933 + 0.616397i
\(342\) 6.63840 + 7.83091i 0.358964 + 0.423447i
\(343\) −7.83823 16.7798i −0.423225 0.906025i
\(344\) 25.7588 15.3953i 1.38882 0.830062i
\(345\) 2.38572 + 2.21363i 0.128443 + 0.119178i
\(346\) −12.9844 21.0095i −0.698045 1.12948i
\(347\) 26.3917 1.97779i 1.41678 0.106173i 0.655795 0.754939i \(-0.272334\pi\)
0.760988 + 0.648766i \(0.224715\pi\)
\(348\) −1.83860 + 0.390996i −0.0985593 + 0.0209596i
\(349\) 27.1499 21.6513i 1.45330 1.15897i 0.496570 0.867997i \(-0.334593\pi\)
0.956731 0.290972i \(-0.0939788\pi\)
\(350\) −16.5099 14.5377i −0.882490 0.777071i
\(351\) 1.75418 2.19968i 0.0936314 0.117410i
\(352\) 1.15060 + 15.3030i 0.0613272 + 0.815651i
\(353\) −1.92158 + 4.89611i −0.102276 + 0.260594i −0.972847 0.231447i \(-0.925654\pi\)
0.870572 + 0.492041i \(0.163749\pi\)
\(354\) −1.36184 + 2.13202i −0.0723810 + 0.113316i
\(355\) 26.7466 + 2.00438i 1.41956 + 0.106381i
\(356\) 28.6816 + 11.7515i 1.52012 + 0.622829i
\(357\) 2.52522 + 1.73625i 0.133649 + 0.0918923i
\(358\) −18.7263 + 24.9825i −0.989715 + 1.32037i
\(359\) 7.65286 1.15348i 0.403903 0.0608785i 0.0560504 0.998428i \(-0.482149\pi\)
0.347852 + 0.937549i \(0.386911\pi\)
\(360\) 27.5938 + 1.64908i 1.45432 + 0.0869141i
\(361\) −6.49902 11.2566i −0.342054 0.592454i
\(362\) 22.6587 4.11311i 1.19092 0.216180i
\(363\) 0.303569 + 0.630368i 0.0159332 + 0.0330857i
\(364\) 2.17721 12.8069i 0.114117 0.671262i
\(365\) −3.33914 + 6.93379i −0.174778 + 0.362931i
\(366\) 0.157029 0.569091i 0.00820803 0.0297469i
\(367\) 4.11769 3.82066i 0.214942 0.199437i −0.565352 0.824849i \(-0.691260\pi\)
0.780294 + 0.625413i \(0.215069\pi\)
\(368\) −18.7591 + 8.35654i −0.977887 + 0.435615i
\(369\) −4.95613 + 3.37904i −0.258006 + 0.175906i
\(370\) −15.9030 + 4.13480i −0.826759 + 0.214958i
\(371\) 6.83978 + 30.5198i 0.355104 + 1.58451i
\(372\) 2.11172 0.617165i 0.109487 0.0319985i
\(373\) 9.58330 + 5.53292i 0.496205 + 0.286484i 0.727145 0.686484i \(-0.240847\pi\)
−0.230940 + 0.972968i \(0.574180\pi\)
\(374\) 7.79873 21.7673i 0.403263 1.12556i
\(375\) −0.460518 0.313976i −0.0237811 0.0162137i
\(376\) 12.0491 + 14.6494i 0.621382 + 0.755487i
\(377\) −2.67152 11.7047i −0.137590 0.602822i
\(378\) 4.03106 + 1.46215i 0.207335 + 0.0752048i
\(379\) −12.3577 2.82056i −0.634772 0.144882i −0.106987 0.994260i \(-0.534120\pi\)
−0.527785 + 0.849378i \(0.676977\pi\)
\(380\) 15.7009 + 3.82998i 0.805440 + 0.196474i
\(381\) −0.943131 3.05756i −0.0483181 0.156643i
\(382\) 1.35987 + 3.98092i 0.0695768 + 0.203681i
\(383\) 14.6489 + 4.51858i 0.748523 + 0.230889i 0.645468 0.763787i \(-0.276662\pi\)
0.103054 + 0.994676i \(0.467138\pi\)
\(384\) 0.971945 1.94503i 0.0495994 0.0992569i
\(385\) −16.1706 + 17.2909i −0.824130 + 0.881225i
\(386\) 11.1755 + 2.20066i 0.568819 + 0.112011i
\(387\) −29.2642 + 11.4853i −1.48758 + 0.583833i
\(388\) 16.4855 + 1.48208i 0.836924 + 0.0752412i
\(389\) 3.54632 23.5283i 0.179805 1.19293i −0.698777 0.715340i \(-0.746272\pi\)
0.878582 0.477591i \(-0.158490\pi\)
\(390\) 0.0986322 2.19864i 0.00499444 0.111332i
\(391\) 30.9421 1.56481
\(392\) 19.5560 3.09262i 0.987725 0.156201i
\(393\) −3.53491 −0.178313
\(394\) 0.151244 3.37143i 0.00761958 0.169850i
\(395\) 4.39961 29.1895i 0.221369 1.46868i
\(396\) 1.43952 16.0121i 0.0723385 0.804637i
\(397\) −32.4566 + 12.7383i −1.62895 + 0.639315i −0.991373 0.131073i \(-0.958158\pi\)
−0.637575 + 0.770388i \(0.720062\pi\)
\(398\) 6.56170 + 1.29212i 0.328908 + 0.0647679i
\(399\) 1.07637 + 0.627099i 0.0538859 + 0.0313942i
\(400\) 19.8158 12.6643i 0.990790 0.633216i
\(401\) 17.0946 + 5.27297i 0.853662 + 0.263320i 0.690547 0.723287i \(-0.257370\pi\)
0.163115 + 0.986607i \(0.447846\pi\)
\(402\) −0.413475 1.21042i −0.0206223 0.0603703i
\(403\) 4.14181 + 13.4274i 0.206318 + 0.668868i
\(404\) −6.50156 + 26.6530i −0.323465 + 1.32604i
\(405\) −27.8765 6.36263i −1.38519 0.316161i
\(406\) 15.6029 9.55838i 0.774358 0.474375i
\(407\) 2.12650 + 9.31680i 0.105407 + 0.461817i
\(408\) −2.53022 + 2.08109i −0.125265 + 0.103029i
\(409\) 25.9991 + 17.7259i 1.28557 + 0.876488i 0.996723 0.0808864i \(-0.0257751\pi\)
0.288849 + 0.957375i \(0.406727\pi\)
\(410\) −3.18498 + 8.88969i −0.157295 + 0.439031i
\(411\) −3.87556 2.23756i −0.191167 0.110371i
\(412\) 1.54892 + 5.29986i 0.0763099 + 0.261105i
\(413\) 5.57429 23.9873i 0.274293 1.18034i
\(414\) 20.8215 5.41361i 1.02332 0.266064i
\(415\) −9.94471 + 6.78019i −0.488167 + 0.332826i
\(416\) 12.5137 + 6.02249i 0.613537 + 0.295277i
\(417\) −1.41504 + 1.31297i −0.0692950 + 0.0642963i
\(418\) 2.50006 9.06051i 0.122282 0.443164i
\(419\) −12.8640 + 26.7124i −0.628449 + 1.30499i 0.307062 + 0.951690i \(0.400654\pi\)
−0.935511 + 0.353298i \(0.885060\pi\)
\(420\) 3.22331 0.928292i 0.157281 0.0452960i
\(421\) −15.0604 31.2733i −0.734000 1.52417i −0.847597 0.530641i \(-0.821951\pi\)
0.113597 0.993527i \(-0.463763\pi\)
\(422\) −4.10332 + 0.744852i −0.199747 + 0.0362588i
\(423\) −9.93546 17.2087i −0.483078 0.836716i
\(424\) −33.3768 1.99468i −1.62092 0.0968704i
\(425\) −35.0375 + 5.28106i −1.69957 + 0.256169i
\(426\) −1.32562 + 1.76849i −0.0642265 + 0.0856838i
\(427\) 0.406918 + 5.73235i 0.0196922 + 0.277408i
\(428\) −0.869624 + 2.12247i −0.0420349 + 0.102593i
\(429\) −1.27639 0.0956525i −0.0616249 0.00461815i
\(430\) −26.6410 + 41.7078i −1.28474 + 2.01133i
\(431\) −9.58161 + 24.4135i −0.461530 + 1.17596i 0.490904 + 0.871214i \(0.336667\pi\)
−0.952434 + 0.304745i \(0.901429\pi\)
\(432\) −2.69374 + 3.70915i −0.129603 + 0.178457i
\(433\) 0.451955 0.566733i 0.0217195 0.0272355i −0.770853 0.637013i \(-0.780170\pi\)
0.792573 + 0.609777i \(0.208741\pi\)
\(434\) −17.3748 + 12.5208i −0.834018 + 0.601015i
\(435\) 2.42368 1.93282i 0.116206 0.0926715i
\(436\) −1.96636 9.24649i −0.0941715 0.442827i
\(437\) 12.5427 0.939946i 0.599999 0.0449637i
\(438\) −0.333396 0.539454i −0.0159303 0.0257761i
\(439\) 4.35053 + 4.03671i 0.207640 + 0.192661i 0.777136 0.629332i \(-0.216671\pi\)
−0.569497 + 0.821994i \(0.692862\pi\)
\(440\) −12.9840 21.7243i −0.618989 1.03566i
\(441\) −20.7408 0.163127i −0.987657 0.00776793i
\(442\) −13.5306 15.9612i −0.643583 0.759194i
\(443\) 20.9356 22.5633i 0.994682 1.07201i −0.00272127 0.999996i \(-0.500866\pi\)
0.997403 0.0720162i \(-0.0229433\pi\)
\(444\) 0.418288 1.28779i 0.0198511 0.0611159i
\(445\) −50.9747 + 3.82003i −2.41643 + 0.181087i
\(446\) −27.9167 15.0208i −1.32189 0.711257i
\(447\) −1.22655 1.53805i −0.0580139 0.0727471i
\(448\) −2.60349 + 21.0053i −0.123003 + 0.992406i
\(449\) 18.1290 22.7330i 0.855559 1.07284i −0.141005 0.990009i \(-0.545033\pi\)
0.996564 0.0828282i \(-0.0263953\pi\)
\(450\) −22.6534 + 9.68387i −1.06789 + 0.456502i
\(451\) 5.11225 + 2.00641i 0.240726 + 0.0944781i
\(452\) −1.15625 8.52947i −0.0543856 0.401193i
\(453\) 2.83593 + 0.212523i 0.133244 + 0.00998522i
\(454\) 7.70481 3.99915i 0.361605 0.187689i
\(455\) 6.23426 + 20.4968i 0.292267 + 0.960905i
\(456\) −0.962433 + 0.920453i −0.0450701 + 0.0431042i
\(457\) −24.0849 + 3.63021i −1.12664 + 0.169814i −0.685814 0.727777i \(-0.740554\pi\)
−0.440830 + 0.897591i \(0.645316\pi\)
\(458\) 3.82590 + 36.3837i 0.178772 + 1.70010i
\(459\) 5.98156 3.45346i 0.279195 0.161194i
\(460\) 21.5075 26.1624i 1.00279 1.21983i
\(461\) −3.54465 7.36054i −0.165091 0.342814i 0.801968 0.597367i \(-0.203786\pi\)
−0.967059 + 0.254552i \(0.918072\pi\)
\(462\) −0.483462 1.88995i −0.0224927 0.0879284i
\(463\) −6.18453 2.97831i −0.287420 0.138414i 0.284619 0.958641i \(-0.408133\pi\)
−0.572039 + 0.820227i \(0.693847\pi\)
\(464\) 5.20774 + 18.8553i 0.241763 + 0.875335i
\(465\) −2.65973 + 2.46787i −0.123342 + 0.114445i
\(466\) −3.73074 + 31.0367i −0.172823 + 1.43775i
\(467\) 5.56337 + 8.15996i 0.257442 + 0.377598i 0.933100 0.359617i \(-0.117093\pi\)
−0.675658 + 0.737215i \(0.736140\pi\)
\(468\) −11.8975 8.37326i −0.549963 0.387054i
\(469\) 7.72485 + 9.76519i 0.356701 + 0.450915i
\(470\) −28.5780 12.7220i −1.31820 0.586824i
\(471\) −0.00260133 + 0.00450564i −0.000119863 + 0.000207609i
\(472\) 22.9960 + 12.8175i 1.05848 + 0.589972i
\(473\) 23.7813 + 16.2138i 1.09346 + 0.745511i
\(474\) 1.83190 + 1.60032i 0.0841418 + 0.0735051i
\(475\) −14.0424 + 3.20509i −0.644310 + 0.147060i
\(476\) 16.4617 27.3139i 0.754521 1.25193i
\(477\) 34.1497 + 7.79445i 1.56361 + 0.356883i
\(478\) −16.1546 22.2326i −0.738894 1.01689i
\(479\) −32.3674 + 9.98402i −1.47890 + 0.456181i −0.926147 0.377162i \(-0.876900\pi\)
−0.552756 + 0.833343i \(0.686424\pi\)
\(480\) 0.000885704 3.58591i 4.04267e−5 0.163674i
\(481\) 8.26388 + 2.54907i 0.376801 + 0.116228i
\(482\) −1.03626 34.5669i −0.0472002 1.57448i
\(483\) 2.16272 1.46209i 0.0984071 0.0665275i
\(484\) 6.35890 3.54638i 0.289041 0.161199i
\(485\) −25.4103 + 9.97282i −1.15382 + 0.452842i
\(486\) 5.14193 5.06608i 0.233243 0.229802i
\(487\) 7.49167 + 1.12919i 0.339480 + 0.0511683i 0.316570 0.948569i \(-0.397469\pi\)
0.0229099 + 0.999738i \(0.492707\pi\)
\(488\) −6.00950 1.27643i −0.272037 0.0577812i
\(489\) −0.739316 −0.0334330
\(490\) −26.5654 + 18.9855i −1.20010 + 0.857675i
\(491\) 32.7124i 1.47629i −0.674641 0.738146i \(-0.735702\pi\)
0.674641 0.738146i \(-0.264298\pi\)
\(492\) −0.476062 0.615509i −0.0214625 0.0277493i
\(493\) 4.39274 29.1439i 0.197839 1.31258i
\(494\) −5.96961 6.05900i −0.268586 0.272607i
\(495\) 9.68643 + 24.6806i 0.435373 + 1.10931i
\(496\) −7.72739 21.5514i −0.346970 0.967687i
\(497\) 6.42234 20.5337i 0.288081 0.921062i
\(498\) −0.0297193 0.991362i −0.00133176 0.0444240i
\(499\) −1.04344 + 3.38276i −0.0467110 + 0.151433i −0.975924 0.218112i \(-0.930010\pi\)
0.929213 + 0.369545i \(0.120486\pi\)
\(500\) −2.97445 + 4.97950i −0.133021 + 0.222690i
\(501\) −0.755316 2.44867i −0.0337450 0.109399i
\(502\) 27.6621 20.0998i 1.23462 0.897097i
\(503\) 9.30049 40.7481i 0.414688 1.81687i −0.146537 0.989205i \(-0.546813\pi\)
0.561226 0.827663i \(-0.310330\pi\)
\(504\) 6.29857 21.2601i 0.280560 0.947002i
\(505\) −10.0679 44.1103i −0.448015 1.96288i
\(506\) −14.8339 12.9587i −0.659447 0.576084i
\(507\) 0.754918 1.10726i 0.0335271 0.0491752i
\(508\) −31.1734 + 11.7031i −1.38309 + 0.519240i
\(509\) 24.3849 + 14.0786i 1.08084 + 0.624025i 0.931124 0.364703i \(-0.118830\pi\)
0.149719 + 0.988729i \(0.452163\pi\)
\(510\) 2.19732 4.93593i 0.0972992 0.218567i
\(511\) 4.81123 + 3.86788i 0.212836 + 0.171105i
\(512\) −20.8105 8.88389i −0.919702 0.392616i
\(513\) 2.31978 1.58160i 0.102421 0.0698294i
\(514\) 1.20145 9.99507i 0.0529937 0.440864i
\(515\) −6.19371 6.67523i −0.272928 0.294146i
\(516\) −1.71463 3.70015i −0.0754825 0.162890i
\(517\) −7.89359 + 16.3912i −0.347160 + 0.720885i
\(518\) 0.343142 + 13.1761i 0.0150768 + 0.578924i
\(519\) −3.02400 + 1.45628i −0.132739 + 0.0639238i
\(520\) −22.9005 + 0.346011i −1.00426 + 0.0151736i
\(521\) −0.958545 1.66025i −0.0419946 0.0727368i 0.844264 0.535927i \(-0.180038\pi\)
−0.886259 + 0.463191i \(0.846705\pi\)
\(522\) −2.14305 20.3800i −0.0937985 0.892010i
\(523\) 2.11633 + 14.0410i 0.0925408 + 0.613968i 0.986242 + 0.165306i \(0.0528612\pi\)
−0.893701 + 0.448662i \(0.851901\pi\)
\(524\) 2.20359 + 36.7200i 0.0962641 + 1.60412i
\(525\) −2.19943 + 2.02474i −0.0959910 + 0.0883667i
\(526\) 13.3649 + 25.7489i 0.582737 + 1.12271i
\(527\) −2.57788 + 34.3994i −0.112294 + 1.49846i
\(528\) 2.08458 + 0.0619768i 0.0907196 + 0.00269719i
\(529\) 1.22700 3.12635i 0.0533480 0.135928i
\(530\) 50.7042 21.6750i 2.20245 0.941501i
\(531\) −21.5629 17.1959i −0.935752 0.746238i
\(532\) 5.84320 11.5720i 0.253335 0.501712i
\(533\) 3.88562 3.09868i 0.168305 0.134219i
\(534\) 1.99586 3.70937i 0.0863693 0.160520i
\(535\) −0.282686 3.77218i −0.0122216 0.163086i
\(536\) −12.3159 + 5.04965i −0.531965 + 0.218112i
\(537\) 3.11031 + 2.88594i 0.134220 + 0.124538i
\(538\) 19.1149 + 22.5486i 0.824101 + 0.972140i
\(539\) 10.5737 + 15.7738i 0.455440 + 0.679427i
\(540\) 1.23773 7.45804i 0.0532636 0.320943i
\(541\) −5.44864 + 5.87224i −0.234255 + 0.252467i −0.839229 0.543778i \(-0.816993\pi\)
0.604973 + 0.796246i \(0.293184\pi\)
\(542\) −2.35609 + 1.45612i −0.101203 + 0.0625458i
\(543\) −0.233874 3.12083i −0.0100365 0.133928i
\(544\) 23.1952 + 24.9861i 0.994488 + 1.07127i
\(545\) 9.72032 + 12.1889i 0.416373 + 0.522115i
\(546\) −1.69993 0.476263i −0.0727504 0.0203822i
\(547\) −22.3487 17.8225i −0.955560 0.762034i 0.0157437 0.999876i \(-0.494988\pi\)
−0.971304 + 0.237842i \(0.923560\pi\)
\(548\) −20.8274 + 41.6534i −0.889701 + 1.77935i
\(549\) 5.99111 + 2.35134i 0.255694 + 0.100353i
\(550\) 19.0090 + 12.1421i 0.810547 + 0.517741i
\(551\) 0.895321 11.9472i 0.0381420 0.508969i
\(552\) 0.862802 + 2.65409i 0.0367233 + 0.112966i
\(553\) −22.0075 8.73734i −0.935855 0.371550i
\(554\) −4.70572 + 6.27785i −0.199927 + 0.266720i
\(555\) 0.332816 + 2.20809i 0.0141273 + 0.0937282i
\(556\) 14.5210 + 13.8807i 0.615826 + 0.588674i
\(557\) −23.9578 + 13.8320i −1.01512 + 0.586082i −0.912688 0.408657i \(-0.865997\pi\)
−0.102436 + 0.994740i \(0.532664\pi\)
\(558\) 4.28380 + 23.5990i 0.181348 + 0.999027i
\(559\) 23.4674 11.3013i 0.992566 0.477995i
\(560\) −11.6523 32.9044i −0.492398 1.39047i
\(561\) −2.83106 1.36337i −0.119527 0.0575614i
\(562\) 6.57883 23.8424i 0.277511 1.00573i
\(563\) −9.65934 10.4103i −0.407092 0.438741i 0.495912 0.868373i \(-0.334834\pi\)
−0.903004 + 0.429632i \(0.858643\pi\)
\(564\) 2.15114 1.42026i 0.0905792 0.0598037i
\(565\) 7.99652 + 11.7287i 0.336416 + 0.493432i
\(566\) −1.14045 4.38635i −0.0479369 0.184372i
\(567\) −10.0327 + 20.6252i −0.421333 + 0.866177i
\(568\) 19.1971 + 12.6678i 0.805494 + 0.531531i
\(569\) 9.48596 16.4302i 0.397672 0.688788i −0.595766 0.803158i \(-0.703152\pi\)
0.993438 + 0.114370i \(0.0364849\pi\)
\(570\) 0.740767 2.06758i 0.0310273 0.0866014i
\(571\) −17.5719 + 25.7733i −0.735362 + 1.07858i 0.258289 + 0.966068i \(0.416841\pi\)
−0.993651 + 0.112510i \(0.964111\pi\)
\(572\) −0.197944 + 13.3186i −0.00827645 + 0.556877i
\(573\) 0.557355 0.127213i 0.0232838 0.00531439i
\(574\) 6.36740 + 4.10255i 0.265770 + 0.171237i
\(575\) −6.71667 + 29.4276i −0.280104 + 1.22722i
\(576\) 19.9801 + 12.7554i 0.832503 + 0.531476i
\(577\) 13.6861 4.22160i 0.569759 0.175748i 0.00352796 0.999994i \(-0.498877\pi\)
0.566231 + 0.824246i \(0.308401\pi\)
\(578\) −8.83345 25.8593i −0.367423 1.07561i
\(579\) 0.456248 1.47912i 0.0189610 0.0614701i
\(580\) −21.5886 23.9718i −0.896419 0.995376i
\(581\) 3.49187 + 9.00105i 0.144867 + 0.373426i
\(582\) 0.434594 2.20698i 0.0180145 0.0914824i
\(583\) −11.7165 29.8531i −0.485246 1.23639i
\(584\) −5.39592 + 3.79954i −0.223285 + 0.157226i
\(585\) 23.7254 + 3.57603i 0.980924 + 0.147851i
\(586\) −0.648394 + 14.4536i −0.0267849 + 0.597071i
\(587\) 11.4370i 0.472055i −0.971746 0.236027i \(-0.924155\pi\)
0.971746 0.236027i \(-0.0758455\pi\)
\(588\) −0.140048 2.68698i −0.00577548 0.110809i
\(589\) 14.0225i 0.577787i
\(590\) −43.3743 1.94579i −1.78569 0.0801070i
\(591\) −0.453507 0.0683551i −0.0186548 0.00281175i
\(592\) −13.6381 3.54232i −0.560522 0.145588i
\(593\) −12.2718 31.2679i −0.503941 1.28402i −0.926024 0.377464i \(-0.876796\pi\)
0.422083 0.906557i \(-0.361299\pi\)
\(594\) −4.31393 0.849490i −0.177003 0.0348550i
\(595\) −4.13658 + 52.4313i −0.169583 + 2.14947i
\(596\) −15.2123 + 13.7000i −0.623122 + 0.561173i
\(597\) 0.267886 0.868464i 0.0109638 0.0355438i
\(598\) −16.8679 + 5.76200i −0.689779 + 0.235626i
\(599\) 29.4394 9.08085i 1.20286 0.371033i 0.372380 0.928080i \(-0.378542\pi\)
0.830481 + 0.557047i \(0.188066\pi\)
\(600\) −1.42999 2.85813i −0.0583791 0.116683i
\(601\) −3.11877 + 13.6642i −0.127217 + 0.557375i 0.870639 + 0.491923i \(0.163706\pi\)
−0.997856 + 0.0654517i \(0.979151\pi\)
\(602\) 27.7500 + 28.3879i 1.13100 + 1.15700i
\(603\) 13.5949 3.10294i 0.553627 0.126362i
\(604\) 0.439798 29.5916i 0.0178951 1.20406i
\(605\) −6.76416 + 9.92120i −0.275002 + 0.403354i
\(606\) 3.50981 + 1.25749i 0.142576 + 0.0510819i
\(607\) 11.2427 19.4730i 0.456329 0.790385i −0.542435 0.840098i \(-0.682497\pi\)
0.998764 + 0.0497132i \(0.0158307\pi\)
\(608\) 10.1615 + 9.42378i 0.412101 + 0.382185i
\(609\) −1.07009 2.24460i −0.0433622 0.0909558i
\(610\) 9.80586 2.54953i 0.397028 0.103227i
\(611\) 9.27433 + 13.6029i 0.375199 + 0.550316i
\(612\) −19.6787 29.8055i −0.795463 1.20482i
\(613\) −8.96579 9.66283i −0.362125 0.390278i 0.525539 0.850769i \(-0.323864\pi\)
−0.887664 + 0.460492i \(0.847673\pi\)
\(614\) 18.2543 + 5.03689i 0.736683 + 0.203272i
\(615\) 1.15620 + 0.556794i 0.0466223 + 0.0224521i
\(616\) −19.3311 + 6.20026i −0.778870 + 0.249816i
\(617\) 20.4531 9.84967i 0.823409 0.396533i 0.0257699 0.999668i \(-0.491796\pi\)
0.797639 + 0.603135i \(0.206082\pi\)
\(618\) 0.738299 0.134019i 0.0296988 0.00539105i
\(619\) −26.4377 + 15.2638i −1.06262 + 0.613504i −0.926156 0.377141i \(-0.876907\pi\)
−0.136465 + 0.990645i \(0.543574\pi\)
\(620\) 27.2938 + 26.0904i 1.09615 + 1.04782i
\(621\) −0.876930 5.81805i −0.0351900 0.233470i
\(622\) 12.1698 + 9.12218i 0.487965 + 0.365766i
\(623\) −6.27064 + 40.5211i −0.251228 + 1.62344i
\(624\) 0.991795 1.60567i 0.0397036 0.0642781i
\(625\) −1.48194 + 19.7752i −0.0592777 + 0.791007i
\(626\) 21.3783 33.4688i 0.854450 1.33768i
\(627\) −1.18902 0.466654i −0.0474847 0.0186364i
\(628\) 0.0484253 + 0.0242134i 0.00193238 + 0.000966220i
\(629\) 16.5986 + 13.2370i 0.661830 + 0.527792i
\(630\) 6.38976 + 36.0057i 0.254574 + 1.43450i
\(631\) −30.4982 38.2435i −1.21411 1.52245i −0.785372 0.619024i \(-0.787528\pi\)
−0.428743 0.903427i \(-0.641043\pi\)
\(632\) 15.4819 20.0270i 0.615835 0.796631i
\(633\) 0.0423527 + 0.565158i 0.00168337 + 0.0224630i
\(634\) −13.7763 22.2908i −0.547126 0.885281i
\(635\) 37.3512 40.2550i 1.48224 1.59747i
\(636\) −0.743929 + 4.48259i −0.0294987 + 0.177746i
\(637\) 17.1465 1.14942i 0.679369 0.0455416i
\(638\) −14.3115 + 12.1321i −0.566598 + 0.480316i
\(639\) −17.6628 16.3887i −0.698731 0.648328i
\(640\) 37.2493 2.24458i 1.47241 0.0887249i
\(641\) 0.964557 + 12.8711i 0.0380977 + 0.508379i 0.983312 + 0.181928i \(0.0582337\pi\)
−0.945214 + 0.326451i \(0.894147\pi\)
\(642\) 0.274497 + 0.147695i 0.0108335 + 0.00582908i
\(643\) 28.6305 22.8320i 1.12908 0.900408i 0.133196 0.991090i \(-0.457476\pi\)
0.995880 + 0.0906819i \(0.0289046\pi\)
\(644\) −16.5361 21.5545i −0.651614 0.849365i
\(645\) 5.25827 + 4.19333i 0.207044 + 0.165112i
\(646\) −8.20770 19.2002i −0.322927 0.755423i
\(647\) 10.9755 27.9651i 0.431491 1.09942i −0.535483 0.844546i \(-0.679870\pi\)
0.966974 0.254875i \(-0.0820343\pi\)
\(648\) −18.2239 16.4040i −0.715904 0.644411i
\(649\) −1.88701 + 25.1804i −0.0740716 + 0.988417i
\(650\) 18.1170 9.40359i 0.710609 0.368839i
\(651\) 1.44528 + 2.52618i 0.0566449 + 0.0990089i
\(652\) 0.460873 + 7.67987i 0.0180492 + 0.300767i
\(653\) 4.38565 + 29.0969i 0.171624 + 1.13865i 0.894302 + 0.447464i \(0.147673\pi\)
−0.722678 + 0.691185i \(0.757089\pi\)
\(654\) −1.27763 + 0.134348i −0.0499592 + 0.00525342i
\(655\) −30.3335 52.5392i −1.18523 2.05288i
\(656\) −6.09702 + 5.32893i −0.238049 + 0.208060i
\(657\) 6.22891 2.99969i 0.243013 0.117029i
\(658\) −15.1288 + 20.0186i −0.589781 + 0.780407i
\(659\) −2.28247 + 4.73961i −0.0889126 + 0.184629i −0.940683 0.339286i \(-0.889815\pi\)
0.851771 + 0.523915i \(0.175529\pi\)
\(660\) −3.12061 + 1.44607i −0.121469 + 0.0562884i
\(661\) 13.1948 + 14.2206i 0.513217 + 0.553116i 0.935490 0.353353i \(-0.114958\pi\)
−0.422274 + 0.906468i \(0.638768\pi\)
\(662\) 15.9558 + 1.91796i 0.620140 + 0.0745435i
\(663\) −2.34947 + 1.60184i −0.0912460 + 0.0622105i
\(664\) −10.2796 + 0.926712i −0.398924 + 0.0359634i
\(665\) −0.0840726 + 21.3792i −0.00326020 + 0.829051i
\(666\) 13.4855 + 6.00331i 0.522551 + 0.232624i
\(667\) −21.7434 12.5536i −0.841908 0.486076i
\(668\) −24.9655 + 9.37253i −0.965945 + 0.362634i
\(669\) −2.42684 + 3.55952i −0.0938271 + 0.137619i
\(670\) 14.4423 16.5322i 0.557956 0.638696i
\(671\) −1.31121 5.74477i −0.0506185 0.221774i
\(672\) 2.80191 + 0.650390i 0.108086 + 0.0250893i
\(673\) −2.11007 + 9.24484i −0.0813374 + 0.356362i −0.999176 0.0405918i \(-0.987076\pi\)
0.917838 + 0.396954i \(0.129933\pi\)
\(674\) 11.8966 + 16.3725i 0.458239 + 0.630647i
\(675\) 1.98600 + 6.43845i 0.0764411 + 0.247816i
\(676\) −11.9726 7.15171i −0.460486 0.275066i
\(677\) 5.71126 18.5154i 0.219501 0.711606i −0.777111 0.629364i \(-0.783316\pi\)
0.996612 0.0822424i \(-0.0262082\pi\)
\(678\) −1.16921 + 0.0350509i −0.0449031 + 0.00134612i
\(679\) 3.17829 + 21.6643i 0.121972 + 0.831400i
\(680\) −52.6433 19.7484i −2.01878 0.757318i
\(681\) −0.430994 1.09816i −0.0165157 0.0420814i
\(682\) 15.6425 15.4117i 0.598982 0.590146i
\(683\) 3.06134 20.3106i 0.117139 0.777165i −0.850711 0.525635i \(-0.823828\pi\)
0.967849 0.251531i \(-0.0809339\pi\)
\(684\) −8.88237 11.4842i −0.339626 0.439109i
\(685\) 76.8030i 2.93449i
\(686\) 10.0103 + 24.2032i 0.382196 + 0.924081i
\(687\) 4.97170 0.189682
\(688\) −37.3676 + 20.1179i −1.42463 + 0.766987i
\(689\) −28.6976 4.32547i −1.09329 0.164787i
\(690\) −3.23024 3.27860i −0.122973 0.124814i
\(691\) −7.71014 + 3.02601i −0.293308 + 0.115115i −0.507432 0.861692i \(-0.669405\pi\)
0.214125 + 0.976806i \(0.431310\pi\)
\(692\) 17.0127 + 30.5050i 0.646726 + 1.15962i
\(693\) 21.0422 3.08702i 0.799326 0.117266i
\(694\) −37.4114 + 1.12153i −1.42012 + 0.0425727i
\(695\) −31.6572 9.76496i −1.20083 0.370406i
\(696\) 2.62234 0.435869i 0.0993996 0.0165216i
\(697\) 11.6587 3.59623i 0.441604 0.136217i
\(698\) −39.7294 + 28.8681i −1.50378 + 1.09267i
\(699\) 4.14165 + 0.945304i 0.156652 + 0.0357547i
\(700\) 22.4036 + 21.5851i 0.846778 + 0.815839i
\(701\) −23.9176 + 5.45904i −0.903356 + 0.206185i −0.648877 0.760893i \(-0.724761\pi\)
−0.254479 + 0.967078i \(0.581904\pi\)
\(702\) −2.61771 + 2.99651i −0.0987991 + 0.113096i
\(703\) 7.13053 + 4.86152i 0.268933 + 0.183356i
\(704\) −0.655677 21.6928i −0.0247118 0.817580i
\(705\) −2.12555 + 3.68156i −0.0800529 + 0.138656i
\(706\) 3.02511 6.79540i 0.113851 0.255748i
\(707\) −36.2922 0.142717i −1.36491 0.00536743i
\(708\) 2.05912 2.92579i 0.0773865 0.109958i
\(709\) 8.98561 + 13.1795i 0.337462 + 0.494965i 0.957035 0.289974i \(-0.0936466\pi\)
−0.619573 + 0.784939i \(0.712694\pi\)
\(710\) −37.6603 4.52693i −1.41337 0.169893i
\(711\) −19.4393 + 18.0371i −0.729032 + 0.676442i
\(712\) −39.7764 18.4203i −1.49068 0.690329i
\(713\) 26.4758 + 12.7501i 0.991525 + 0.477493i
\(714\) −3.45758 2.61301i −0.129397 0.0977895i
\(715\) −9.53122 19.7918i −0.356447 0.740171i
\(716\) 28.0397 34.1083i 1.04789 1.27469i
\(717\) −3.23436 + 1.86736i −0.120790 + 0.0697379i
\(718\) −10.8850 + 1.14460i −0.406225 + 0.0427163i
\(719\) −9.48810 + 1.43010i −0.353846 + 0.0533338i −0.323560 0.946208i \(-0.604880\pi\)
−0.0302860 + 0.999541i \(0.509642\pi\)
\(720\) −38.8798 4.07866i −1.44896 0.152003i
\(721\) −6.34006 + 3.62727i −0.236116 + 0.135086i
\(722\) 8.46833 + 16.3152i 0.315159 + 0.607188i
\(723\) −4.68651 0.351205i −0.174293 0.0130615i
\(724\) −32.2728 + 4.37489i −1.19941 + 0.162592i
\(725\) 26.7639 + 10.5041i 0.993988 + 0.390111i
\(726\) −0.388928 0.909819i −0.0144345 0.0337665i
\(727\) 11.6045 14.5516i 0.430388 0.539690i −0.518593 0.855021i \(-0.673544\pi\)
0.948982 + 0.315331i \(0.102116\pi\)
\(728\) −3.88763 + 17.9555i −0.144085 + 0.665474i
\(729\) 15.6034 + 19.5660i 0.577903 + 0.724667i
\(730\) 5.15696 9.58438i 0.190868 0.354734i
\(731\) 63.7643 4.77848i 2.35841 0.176738i
\(732\) −0.257918 + 0.794056i −0.00953291 + 0.0293491i
\(733\) 5.48843 5.91512i 0.202720 0.218480i −0.623507 0.781818i \(-0.714293\pi\)
0.826227 + 0.563338i \(0.190483\pi\)
\(734\) −6.05959 + 5.13682i −0.223664 + 0.189604i
\(735\) 2.18838 + 3.86018i 0.0807196 + 0.142385i
\(736\) 27.0324 10.6171i 0.996426 0.391353i
\(737\) −9.35883 8.68372i −0.344737 0.319869i
\(738\) 7.21615 4.45976i 0.265630 0.164166i
\(739\) −14.7620 + 1.10626i −0.543027 + 0.0406943i −0.343420 0.939182i \(-0.611586\pi\)
−0.199607 + 0.979876i \(0.563966\pi\)
\(740\) 22.7297 4.83370i 0.835562 0.177691i
\(741\) −0.903724 + 0.720696i −0.0331991 + 0.0264754i
\(742\) −7.72889 43.5516i −0.283737 1.59883i
\(743\) −26.1401 + 32.7787i −0.958989 + 1.20253i 0.0202441 + 0.999795i \(0.493556\pi\)
−0.979233 + 0.202739i \(0.935016\pi\)
\(744\) −3.02254 + 0.738088i −0.110812 + 0.0270596i
\(745\) 12.3347 31.4283i 0.451909 1.15145i
\(746\) −13.1886 8.42425i −0.482867 0.308434i
\(747\) 10.7823 + 0.808022i 0.394504 + 0.0295640i
\(748\) −12.3976 + 30.2584i −0.453300 + 1.10636i
\(749\) −2.99860 0.464033i −0.109567 0.0169554i
\(750\) 0.630718 + 0.472770i 0.0230306 + 0.0172631i
\(751\) 11.7477 1.77068i 0.428679 0.0646130i 0.0688407 0.997628i \(-0.478070\pi\)
0.359838 + 0.933015i \(0.382832\pi\)
\(752\) −16.0944 21.4603i −0.586901 0.782575i
\(753\) −2.32340 4.02424i −0.0846693 0.146652i
\(754\) 3.03247 + 16.7056i 0.110436 + 0.608383i
\(755\) 21.1767 + 43.9739i 0.770700 + 1.60038i
\(756\) −5.60238 2.32120i −0.203756 0.0844211i
\(757\) 5.05915 10.5054i 0.183878 0.381826i −0.788571 0.614944i \(-0.789179\pi\)
0.972448 + 0.233118i \(0.0748928\pi\)
\(758\) 17.2801 + 4.76808i 0.627641 + 0.173185i
\(759\) −1.96221 + 1.82066i −0.0712237 + 0.0660859i
\(760\) −21.9394 6.40607i −0.795826 0.232372i
\(761\) −7.91905 + 5.39912i −0.287066 + 0.195718i −0.698288 0.715817i \(-0.746054\pi\)
0.411222 + 0.911535i \(0.365102\pi\)
\(762\) 1.13866 + 4.37947i 0.0412495 + 0.158651i
\(763\) 11.2883 5.38158i 0.408664 0.194826i
\(764\) −1.66890 5.71040i −0.0603788 0.206595i
\(765\) 51.0106 + 29.4510i 1.84429 + 1.06480i
\(766\) −20.4094 7.31224i −0.737423 0.264202i
\(767\) 18.8804 + 12.8724i 0.681730 + 0.464796i
\(768\) −1.49643 + 2.68632i −0.0539978 + 0.0969343i
\(769\) −6.85068 30.0148i −0.247042 1.08236i −0.934451 0.356091i \(-0.884109\pi\)
0.687409 0.726270i \(-0.258748\pi\)
\(770\) 23.9416 23.4036i 0.862794 0.843406i