Properties

Label 483.2.bf.a.10.14
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.14
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.175281 + 0.506440i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.34635 + 1.05878i) q^{4} +(-1.28396 + 0.122604i) q^{5} +(-0.530461 + 0.0762687i) q^{6} +(2.45236 - 0.992951i) q^{7} +(-1.67388 + 1.07574i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.175281 + 0.506440i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.34635 + 1.05878i) q^{4} +(-1.28396 + 0.122604i) q^{5} +(-0.530461 + 0.0762687i) q^{6} +(2.45236 - 0.992951i) q^{7} +(-1.67388 + 1.07574i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.162963 - 0.671742i) q^{10} +(-3.41543 + 1.18209i) q^{11} +(-0.324149 + 1.68184i) q^{12} +(1.41376 + 4.81481i) q^{13} +(0.0730199 + 1.41602i) q^{14} +(-0.697321 - 1.08505i) q^{15} +(0.556215 + 2.29275i) q^{16} +(0.881954 + 0.353081i) q^{17} +(-0.310861 - 0.436544i) q^{18} +(3.52161 - 1.40984i) q^{19} +(-1.85847 - 1.19437i) q^{20} +(2.00630 + 1.72474i) q^{21} -1.93691i q^{22} +(4.33760 - 2.04579i) q^{23} +(-1.72317 - 0.994872i) q^{24} +(-3.27611 + 0.631418i) q^{25} +(-2.68622 - 0.127960i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(4.35304 + 1.25965i) q^{28} +(0.260107 + 1.80908i) q^{29} +(0.671742 - 0.162963i) q^{30} +(-6.75160 + 0.321618i) q^{31} +(-5.22010 - 0.498460i) q^{32} +(-2.61572 - 2.49409i) q^{33} +(-0.333404 + 0.384769i) q^{34} +(-3.02700 + 1.57558i) q^{35} +(-1.64341 + 0.482550i) q^{36} +(-3.83290 - 2.72940i) q^{37} +(0.0967296 + 2.03060i) q^{38} +(-3.63175 + 3.46287i) q^{39} +(2.01731 - 1.58643i) q^{40} +(8.00676 + 3.65657i) q^{41} +(-1.22515 + 0.713759i) q^{42} +(1.83293 - 2.85209i) q^{43} +(-5.84992 - 2.02468i) q^{44} +(0.644903 - 1.11700i) q^{45} +(0.275772 + 2.55532i) q^{46} +(3.17773 - 1.83466i) q^{47} +(-1.78301 + 1.54498i) q^{48} +(5.02810 - 4.87014i) q^{49} +(0.254463 - 1.76983i) q^{50} +(0.0903037 + 0.945703i) q^{51} +(-3.19441 + 7.97926i) q^{52} +(-1.99653 - 2.09391i) q^{53} +(0.245571 - 0.476341i) q^{54} +(4.24036 - 1.93651i) q^{55} +(-3.03679 + 4.30017i) q^{56} +(2.86681 + 2.48411i) q^{57} +(-0.961784 - 0.185369i) q^{58} +(6.81814 + 1.65406i) q^{59} +(0.209995 - 2.19917i) q^{60} +(5.68113 + 2.92883i) q^{61} +(1.02055 - 3.47566i) q^{62} +(-0.613672 + 2.57360i) q^{63} +(-0.792716 + 1.73581i) q^{64} +(-2.40553 - 6.00871i) q^{65} +(1.72159 - 0.887542i) q^{66} +(-1.42324 - 7.38449i) q^{67} +(0.813582 + 1.40916i) q^{68} +(3.80597 + 2.91798i) q^{69} +(-0.267364 - 1.80916i) q^{70} +(-4.78161 - 5.51827i) q^{71} +(0.0946758 - 1.98749i) q^{72} +(0.279832 - 0.355836i) q^{73} +(2.05411 - 1.46272i) q^{74} +(-2.06243 - 2.62259i) q^{75} +(6.23402 + 1.83047i) q^{76} +(-7.20208 + 6.29026i) q^{77} +(-1.11716 - 2.44624i) q^{78} +(2.38626 - 2.50263i) q^{79} +(-0.995261 - 2.87562i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-3.25526 + 3.41402i) q^{82} +(2.31841 + 5.07661i) q^{83} +(0.875060 + 4.44634i) q^{84} +(-1.17569 - 0.345213i) q^{85} +(1.12314 + 1.42818i) q^{86} +(-1.48879 + 1.06016i) q^{87} +(4.44539 - 5.65278i) q^{88} +(0.490096 - 10.2884i) q^{89} +(0.452657 + 0.522394i) q^{90} +(8.24790 + 10.4038i) q^{91} +(8.00595 + 1.83822i) q^{92} +(-3.37963 - 5.85369i) q^{93} +(0.372153 + 1.93091i) q^{94} +(-4.34877 + 2.24195i) q^{95} +(-1.94894 - 4.86822i) q^{96} +(-2.62470 + 5.74729i) q^{97} +(1.58511 + 3.40007i) q^{98} +(1.01824 - 3.46780i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.175281 + 0.506440i −0.123942 + 0.358108i −0.989854 0.142090i \(-0.954618\pi\)
0.865912 + 0.500197i \(0.166739\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) 1.34635 + 1.05878i 0.673174 + 0.529390i
\(5\) −1.28396 + 0.122604i −0.574206 + 0.0548301i −0.378120 0.925757i \(-0.623429\pi\)
−0.196086 + 0.980587i \(0.562823\pi\)
\(6\) −0.530461 + 0.0762687i −0.216560 + 0.0311366i
\(7\) 2.45236 0.992951i 0.926903 0.375300i
\(8\) −1.67388 + 1.07574i −0.591806 + 0.380330i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 0.162963 0.671742i 0.0515334 0.212423i
\(11\) −3.41543 + 1.18209i −1.02979 + 0.356414i −0.789150 0.614201i \(-0.789478\pi\)
−0.240640 + 0.970614i \(0.577357\pi\)
\(12\) −0.324149 + 1.68184i −0.0935736 + 0.485506i
\(13\) 1.41376 + 4.81481i 0.392105 + 1.33539i 0.885118 + 0.465366i \(0.154077\pi\)
−0.493013 + 0.870022i \(0.664105\pi\)
\(14\) 0.0730199 + 1.41602i 0.0195154 + 0.378447i
\(15\) −0.697321 1.08505i −0.180048 0.280159i
\(16\) 0.556215 + 2.29275i 0.139054 + 0.573188i
\(17\) 0.881954 + 0.353081i 0.213905 + 0.0856348i 0.476140 0.879369i \(-0.342035\pi\)
−0.262235 + 0.965004i \(0.584460\pi\)
\(18\) −0.310861 0.436544i −0.0732707 0.102894i
\(19\) 3.52161 1.40984i 0.807913 0.323440i 0.0693229 0.997594i \(-0.477916\pi\)
0.738590 + 0.674155i \(0.235492\pi\)
\(20\) −1.85847 1.19437i −0.415567 0.267069i
\(21\) 2.00630 + 1.72474i 0.437812 + 0.376370i
\(22\) 1.93691i 0.412950i
\(23\) 4.33760 2.04579i 0.904452 0.426576i
\(24\) −1.72317 0.994872i −0.351740 0.203077i
\(25\) −3.27611 + 0.631418i −0.655222 + 0.126284i
\(26\) −2.68622 0.127960i −0.526811 0.0250951i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 4.35304 + 1.25965i 0.822647 + 0.238051i
\(29\) 0.260107 + 1.80908i 0.0483006 + 0.335938i 0.999616 + 0.0277183i \(0.00882413\pi\)
−0.951315 + 0.308220i \(0.900267\pi\)
\(30\) 0.671742 0.162963i 0.122643 0.0297528i
\(31\) −6.75160 + 0.321618i −1.21262 + 0.0577644i −0.644125 0.764920i \(-0.722778\pi\)
−0.568498 + 0.822684i \(0.692475\pi\)
\(32\) −5.22010 0.498460i −0.922793 0.0881160i
\(33\) −2.61572 2.49409i −0.455339 0.434165i
\(34\) −0.333404 + 0.384769i −0.0571783 + 0.0659873i
\(35\) −3.02700 + 1.57558i −0.511656 + 0.266322i
\(36\) −1.64341 + 0.482550i −0.273902 + 0.0804250i
\(37\) −3.83290 2.72940i −0.630125 0.448710i 0.219850 0.975534i \(-0.429443\pi\)
−0.849974 + 0.526824i \(0.823383\pi\)
\(38\) 0.0967296 + 2.03060i 0.0156916 + 0.329408i
\(39\) −3.63175 + 3.46287i −0.581546 + 0.554503i
\(40\) 2.01731 1.58643i 0.318965 0.250837i
\(41\) 8.00676 + 3.65657i 1.25045 + 0.571060i 0.926955 0.375172i \(-0.122416\pi\)
0.323491 + 0.946231i \(0.395144\pi\)
\(42\) −1.22515 + 0.713759i −0.189044 + 0.110135i
\(43\) 1.83293 2.85209i 0.279519 0.434939i −0.672900 0.739734i \(-0.734951\pi\)
0.952418 + 0.304794i \(0.0985878\pi\)
\(44\) −5.84992 2.02468i −0.881909 0.305232i
\(45\) 0.644903 1.11700i 0.0961364 0.166513i
\(46\) 0.275772 + 2.55532i 0.0406604 + 0.376762i
\(47\) 3.17773 1.83466i 0.463519 0.267613i −0.250004 0.968245i \(-0.580432\pi\)
0.713523 + 0.700632i \(0.247098\pi\)
\(48\) −1.78301 + 1.54498i −0.257355 + 0.222999i
\(49\) 5.02810 4.87014i 0.718299 0.695734i
\(50\) 0.254463 1.76983i 0.0359865 0.250292i
\(51\) 0.0903037 + 0.945703i 0.0126450 + 0.132425i
\(52\) −3.19441 + 7.97926i −0.442986 + 1.10652i
\(53\) −1.99653 2.09391i −0.274245 0.287620i 0.572180 0.820128i \(-0.306098\pi\)
−0.846425 + 0.532508i \(0.821250\pi\)
\(54\) 0.245571 0.476341i 0.0334179 0.0648217i
\(55\) 4.24036 1.93651i 0.571770 0.261118i
\(56\) −3.03679 + 4.30017i −0.405808 + 0.574634i
\(57\) 2.86681 + 2.48411i 0.379719 + 0.329028i
\(58\) −0.961784 0.185369i −0.126288 0.0243401i
\(59\) 6.81814 + 1.65406i 0.887647 + 0.215341i 0.653560 0.756875i \(-0.273275\pi\)
0.234087 + 0.972216i \(0.424790\pi\)
\(60\) 0.209995 2.19917i 0.0271102 0.283911i
\(61\) 5.68113 + 2.92883i 0.727394 + 0.374998i 0.781807 0.623521i \(-0.214298\pi\)
−0.0544125 + 0.998519i \(0.517329\pi\)
\(62\) 1.02055 3.47566i 0.129609 0.441409i
\(63\) −0.613672 + 2.57360i −0.0773154 + 0.324243i
\(64\) −0.792716 + 1.73581i −0.0990895 + 0.216976i
\(65\) −2.40553 6.00871i −0.298369 0.745289i
\(66\) 1.72159 0.887542i 0.211913 0.109249i
\(67\) −1.42324 7.38449i −0.173877 0.902159i −0.959126 0.282979i \(-0.908677\pi\)
0.785249 0.619180i \(-0.212535\pi\)
\(68\) 0.813582 + 1.40916i 0.0986613 + 0.170886i
\(69\) 3.80597 + 2.91798i 0.458185 + 0.351283i
\(70\) −0.267364 1.80916i −0.0319561 0.216236i
\(71\) −4.78161 5.51827i −0.567473 0.654899i 0.397391 0.917649i \(-0.369916\pi\)
−0.964864 + 0.262751i \(0.915370\pi\)
\(72\) 0.0946758 1.98749i 0.0111577 0.234228i
\(73\) 0.279832 0.355836i 0.0327519 0.0416474i −0.769401 0.638766i \(-0.779445\pi\)
0.802153 + 0.597118i \(0.203688\pi\)
\(74\) 2.05411 1.46272i 0.238785 0.170038i
\(75\) −2.06243 2.62259i −0.238149 0.302831i
\(76\) 6.23402 + 1.83047i 0.715092 + 0.209970i
\(77\) −7.20208 + 6.29026i −0.820753 + 0.716841i
\(78\) −1.11716 2.44624i −0.126494 0.276982i
\(79\) 2.38626 2.50263i 0.268475 0.281568i −0.575672 0.817681i \(-0.695259\pi\)
0.844146 + 0.536113i \(0.180108\pi\)
\(80\) −0.995261 2.87562i −0.111274 0.321504i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −3.25526 + 3.41402i −0.359484 + 0.377016i
\(83\) 2.31841 + 5.07661i 0.254478 + 0.557230i 0.993151 0.116834i \(-0.0372745\pi\)
−0.738673 + 0.674064i \(0.764547\pi\)
\(84\) 0.875060 + 4.44634i 0.0954769 + 0.485135i
\(85\) −1.17569 0.345213i −0.127521 0.0374436i
\(86\) 1.12314 + 1.42818i 0.121111 + 0.154005i
\(87\) −1.48879 + 1.06016i −0.159615 + 0.113661i
\(88\) 4.44539 5.65278i 0.473880 0.602588i
\(89\) 0.490096 10.2884i 0.0519501 1.09057i −0.810925 0.585149i \(-0.801036\pi\)
0.862876 0.505417i \(-0.168661\pi\)
\(90\) 0.452657 + 0.522394i 0.0477142 + 0.0550652i
\(91\) 8.24790 + 10.4038i 0.864615 + 1.09062i
\(92\) 8.00595 + 1.83822i 0.834678 + 0.191648i
\(93\) −3.37963 5.85369i −0.350451 0.606999i
\(94\) 0.372153 + 1.93091i 0.0383846 + 0.199158i
\(95\) −4.34877 + 2.24195i −0.446175 + 0.230019i
\(96\) −1.94894 4.86822i −0.198913 0.496861i
\(97\) −2.62470 + 5.74729i −0.266498 + 0.583549i −0.994816 0.101690i \(-0.967575\pi\)
0.728318 + 0.685239i \(0.240302\pi\)
\(98\) 1.58511 + 3.40007i 0.160120 + 0.343459i
\(99\) 1.01824 3.46780i 0.102337 0.348527i
\(100\) −5.07932 2.61857i −0.507932 0.261857i
\(101\) 1.39230 14.5808i 0.138539 1.45084i −0.612441 0.790516i \(-0.709812\pi\)
0.750979 0.660326i \(-0.229582\pi\)
\(102\) −0.494771 0.120030i −0.0489896 0.0118848i
\(103\) 14.3420 + 2.76419i 1.41316 + 0.272363i 0.837995 0.545677i \(-0.183728\pi\)
0.575160 + 0.818041i \(0.304940\pi\)
\(104\) −7.54592 6.53858i −0.739939 0.641160i
\(105\) −2.78748 1.96853i −0.272031 0.192109i
\(106\) 1.41039 0.644105i 0.136989 0.0625610i
\(107\) −6.42912 + 12.4708i −0.621526 + 1.20559i 0.342433 + 0.939542i \(0.388749\pi\)
−0.963959 + 0.266051i \(0.914281\pi\)
\(108\) −1.18196 1.23961i −0.113735 0.119281i
\(109\) 4.77699 11.9323i 0.457552 1.14291i −0.502870 0.864362i \(-0.667722\pi\)
0.960422 0.278548i \(-0.0898533\pi\)
\(110\) 0.237472 + 2.48692i 0.0226421 + 0.237119i
\(111\) 0.669647 4.65750i 0.0635601 0.442070i
\(112\) 3.64063 + 5.07035i 0.344007 + 0.479103i
\(113\) 13.8655 12.0145i 1.30435 1.13023i 0.321287 0.946982i \(-0.395884\pi\)
0.983067 0.183248i \(-0.0586610\pi\)
\(114\) −1.76055 + 1.01645i −0.164891 + 0.0951996i
\(115\) −5.31850 + 3.15852i −0.495953 + 0.294534i
\(116\) −1.56522 + 2.71105i −0.145327 + 0.251715i
\(117\) −4.74209 1.64125i −0.438406 0.151734i
\(118\) −2.03277 + 3.16306i −0.187132 + 0.291183i
\(119\) 2.51346 0.00985682i 0.230408 0.000903573i
\(120\) 2.33446 + 1.06611i 0.213106 + 0.0973224i
\(121\) 1.62121 1.27493i 0.147383 0.115903i
\(122\) −2.47907 + 2.36379i −0.224444 + 0.214007i
\(123\) 0.418825 + 8.79223i 0.0377642 + 0.792768i
\(124\) −9.43053 6.71545i −0.846886 0.603065i
\(125\) 10.3168 3.02928i 0.922762 0.270947i
\(126\) −1.19581 0.761890i −0.106531 0.0678746i
\(127\) 8.00274 9.23565i 0.710128 0.819531i −0.279955 0.960013i \(-0.590320\pi\)
0.990083 + 0.140482i \(0.0448651\pi\)
\(128\) −8.33044 7.94306i −0.736314 0.702074i
\(129\) 3.37493 + 0.322267i 0.297146 + 0.0283740i
\(130\) 3.46470 0.165044i 0.303874 0.0144753i
\(131\) 0.175430 0.0425590i 0.0153274 0.00371839i −0.228088 0.973641i \(-0.573247\pi\)
0.243415 + 0.969922i \(0.421732\pi\)
\(132\) −0.880984 6.12738i −0.0766798 0.533320i
\(133\) 7.23634 6.95422i 0.627470 0.603007i
\(134\) 3.98927 + 0.573571i 0.344621 + 0.0495490i
\(135\) 1.28834 + 0.0613714i 0.110883 + 0.00528201i
\(136\) −1.85611 + 0.357735i −0.159160 + 0.0306755i
\(137\) −1.73479 1.00158i −0.148213 0.0855708i 0.424060 0.905634i \(-0.360605\pi\)
−0.572273 + 0.820064i \(0.693938\pi\)
\(138\) −2.14489 + 1.41603i −0.182586 + 0.120541i
\(139\) 6.93593i 0.588298i −0.955760 0.294149i \(-0.904964\pi\)
0.955760 0.294149i \(-0.0950362\pi\)
\(140\) −5.74359 1.08364i −0.485422 0.0915845i
\(141\) 3.08683 + 1.98379i 0.259958 + 0.167065i
\(142\) 3.63280 1.45435i 0.304858 0.122047i
\(143\) −10.5201 14.7734i −0.879736 1.23542i
\(144\) −2.19026 0.876847i −0.182521 0.0730705i
\(145\) −0.555768 2.29091i −0.0461540 0.190249i
\(146\) 0.131160 + 0.204090i 0.0108549 + 0.0168906i
\(147\) 6.63276 + 2.23752i 0.547061 + 0.184548i
\(148\) −2.27059 7.73291i −0.186641 0.635641i
\(149\) −3.18370 + 16.5186i −0.260819 + 1.35326i 0.581178 + 0.813776i \(0.302592\pi\)
−0.841997 + 0.539482i \(0.818620\pi\)
\(150\) 1.68969 0.584807i 0.137963 0.0477493i
\(151\) 5.06015 20.8582i 0.411789 1.69742i −0.267507 0.963556i \(-0.586200\pi\)
0.679297 0.733864i \(-0.262285\pi\)
\(152\) −4.37813 + 6.14823i −0.355114 + 0.498687i
\(153\) −0.799195 + 0.513611i −0.0646111 + 0.0415230i
\(154\) −1.92325 4.74999i −0.154980 0.382765i
\(155\) 8.62939 1.24072i 0.693129 0.0996569i
\(156\) −8.55602 + 0.817000i −0.685030 + 0.0654124i
\(157\) −9.01138 7.08663i −0.719186 0.565574i 0.190090 0.981767i \(-0.439122\pi\)
−0.909277 + 0.416192i \(0.863364\pi\)
\(158\) 0.849171 + 1.64716i 0.0675564 + 0.131041i
\(159\) 0.946272 2.73407i 0.0750443 0.216826i
\(160\) 6.76354 0.534705
\(161\) 8.60597 9.32402i 0.678245 0.734836i
\(162\) 0.535915 0.0421055
\(163\) −4.97434 + 14.3724i −0.389621 + 1.12573i 0.564273 + 0.825589i \(0.309157\pi\)
−0.953893 + 0.300146i \(0.902965\pi\)
\(164\) 6.90839 + 13.4004i 0.539454 + 1.04640i
\(165\) 3.66428 + 2.88162i 0.285264 + 0.224334i
\(166\) −2.97737 + 0.284305i −0.231089 + 0.0220663i
\(167\) 9.57976 1.37736i 0.741304 0.106583i 0.238692 0.971095i \(-0.423281\pi\)
0.502612 + 0.864512i \(0.332372\pi\)
\(168\) −5.21368 0.728757i −0.402244 0.0562248i
\(169\) −10.2474 + 6.58559i −0.788260 + 0.506584i
\(170\) 0.380905 0.534906i 0.0292141 0.0410254i
\(171\) −0.894313 + 3.68641i −0.0683898 + 0.281907i
\(172\) 5.48749 1.89924i 0.418417 0.144816i
\(173\) −3.73898 + 19.3997i −0.284270 + 1.47493i 0.506193 + 0.862420i \(0.331052\pi\)
−0.790462 + 0.612511i \(0.790160\pi\)
\(174\) −0.275953 0.939808i −0.0209199 0.0712467i
\(175\) −7.40722 + 4.80148i −0.559933 + 0.362958i
\(176\) −4.60995 7.17322i −0.347488 0.540702i
\(177\) 1.65406 + 6.81814i 0.124327 + 0.512483i
\(178\) 5.12455 + 2.05156i 0.384101 + 0.153771i
\(179\) 6.35917 + 8.93021i 0.475307 + 0.667475i 0.980724 0.195400i \(-0.0626006\pi\)
−0.505417 + 0.862875i \(0.668661\pi\)
\(180\) 2.05092 0.821066i 0.152867 0.0611986i
\(181\) 8.27268 + 5.31653i 0.614904 + 0.395175i 0.810693 0.585471i \(-0.199091\pi\)
−0.195789 + 0.980646i \(0.562727\pi\)
\(182\) −6.71462 + 2.35348i −0.497721 + 0.174452i
\(183\) 6.39166i 0.472485i
\(184\) −5.05989 + 8.09051i −0.373020 + 0.596441i
\(185\) 5.25594 + 3.03452i 0.386425 + 0.223102i
\(186\) 3.55693 0.685542i 0.260807 0.0502664i
\(187\) −3.42962 0.163373i −0.250799 0.0119470i
\(188\) 6.22083 + 0.894420i 0.453701 + 0.0652323i
\(189\) −2.56871 + 0.633838i −0.186846 + 0.0461049i
\(190\) −0.373157 2.59537i −0.0270717 0.188288i
\(191\) −6.44899 + 1.56451i −0.466633 + 0.113204i −0.462180 0.886786i \(-0.652933\pi\)
−0.00445283 + 0.999990i \(0.501417\pi\)
\(192\) −1.90609 + 0.0907982i −0.137560 + 0.00655280i
\(193\) −16.3539 1.56161i −1.17718 0.112407i −0.511930 0.859027i \(-0.671069\pi\)
−0.665251 + 0.746620i \(0.731675\pi\)
\(194\) −2.45060 2.33664i −0.175943 0.167761i
\(195\) 4.23848 4.89147i 0.303524 0.350285i
\(196\) 11.9260 1.23326i 0.851855 0.0880896i
\(197\) −6.22812 + 1.82874i −0.443735 + 0.130292i −0.495965 0.868343i \(-0.665185\pi\)
0.0522294 + 0.998635i \(0.483367\pi\)
\(198\) 1.57776 + 1.12352i 0.112126 + 0.0798448i
\(199\) 0.531760 + 11.1630i 0.0376955 + 0.791326i 0.936010 + 0.351973i \(0.114489\pi\)
−0.898315 + 0.439353i \(0.855208\pi\)
\(200\) 4.80457 4.58115i 0.339735 0.323936i
\(201\) 5.91143 4.64880i 0.416960 0.327901i
\(202\) 7.14026 + 3.26085i 0.502387 + 0.229432i
\(203\) 2.43420 + 4.17824i 0.170848 + 0.293255i
\(204\) −0.879711 + 1.36886i −0.0615921 + 0.0958392i
\(205\) −10.7287 3.71324i −0.749325 0.259344i
\(206\) −3.91377 + 6.77884i −0.272685 + 0.472304i
\(207\) −0.849604 + 4.71998i −0.0590516 + 0.328061i
\(208\) −10.2528 + 5.91946i −0.710904 + 0.410441i
\(209\) −10.3612 + 8.97807i −0.716702 + 0.621026i
\(210\) 1.48554 1.06665i 0.102512 0.0736058i
\(211\) 0.482005 3.35242i 0.0331826 0.230790i −0.966481 0.256739i \(-0.917352\pi\)
0.999663 + 0.0259495i \(0.00826092\pi\)
\(212\) −0.471046 4.93301i −0.0323516 0.338801i
\(213\) 2.71378 6.77869i 0.185945 0.464468i
\(214\) −5.18879 5.44185i −0.354699 0.371997i
\(215\) −2.00374 + 3.88670i −0.136654 + 0.265071i
\(216\) 1.80993 0.826569i 0.123150 0.0562409i
\(217\) −16.2380 + 7.49273i −1.10231 + 0.508640i
\(218\) 5.20571 + 4.51077i 0.352575 + 0.305508i
\(219\) 0.444506 + 0.0856715i 0.0300369 + 0.00578914i
\(220\) 7.75933 + 1.88239i 0.523134 + 0.126911i
\(221\) −0.453151 + 4.74561i −0.0304822 + 0.319224i
\(222\) 2.24137 + 1.15551i 0.150431 + 0.0775525i
\(223\) −6.12559 + 20.8619i −0.410200 + 1.39701i 0.452711 + 0.891657i \(0.350457\pi\)
−0.862911 + 0.505356i \(0.831361\pi\)
\(224\) −13.2965 + 3.96091i −0.888410 + 0.264649i
\(225\) 1.38599 3.03490i 0.0923995 0.202327i
\(226\) 3.65428 + 9.12795i 0.243079 + 0.607182i
\(227\) −1.23972 + 0.639119i −0.0822830 + 0.0424198i −0.498877 0.866673i \(-0.666254\pi\)
0.416594 + 0.909093i \(0.363224\pi\)
\(228\) 1.22960 + 6.37979i 0.0814325 + 0.422512i
\(229\) −4.95830 8.58803i −0.327654 0.567513i 0.654392 0.756155i \(-0.272925\pi\)
−0.982046 + 0.188642i \(0.939591\pi\)
\(230\) −0.667374 3.24713i −0.0440053 0.214110i
\(231\) −8.89119 3.51910i −0.584997 0.231540i
\(232\) −2.38148 2.74838i −0.156352 0.180440i
\(233\) −0.512167 + 10.7517i −0.0335532 + 0.704368i 0.917944 + 0.396710i \(0.129848\pi\)
−0.951497 + 0.307658i \(0.900455\pi\)
\(234\) 1.66239 2.11390i 0.108674 0.138190i
\(235\) −3.85516 + 2.74524i −0.251483 + 0.179080i
\(236\) 7.42830 + 9.44586i 0.483541 + 0.614873i
\(237\) 3.31788 + 0.974217i 0.215519 + 0.0632822i
\(238\) −0.435569 + 1.27464i −0.0282337 + 0.0826229i
\(239\) −7.02493 15.3825i −0.454405 0.995009i −0.988727 0.149728i \(-0.952160\pi\)
0.534322 0.845281i \(-0.320567\pi\)
\(240\) 2.09990 2.20231i 0.135548 0.142158i
\(241\) −8.72542 25.2104i −0.562054 1.62395i −0.764478 0.644650i \(-0.777003\pi\)
0.202424 0.979298i \(-0.435118\pi\)
\(242\) 0.361511 + 1.04452i 0.0232388 + 0.0671442i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) 4.54780 + 9.95828i 0.291143 + 0.637514i
\(245\) −5.85880 + 6.86955i −0.374305 + 0.438879i
\(246\) −4.52615 1.32900i −0.288577 0.0847338i
\(247\) 11.7668 + 14.9627i 0.748704 + 0.952055i
\(248\) 10.9554 7.80130i 0.695668 0.495383i
\(249\) −3.44991 + 4.38692i −0.218629 + 0.278010i
\(250\) −0.274183 + 5.75581i −0.0173409 + 0.364030i
\(251\) −3.23201 3.72993i −0.204002 0.235431i 0.644524 0.764584i \(-0.277055\pi\)
−0.848527 + 0.529152i \(0.822510\pi\)
\(252\) −3.55109 + 2.81521i −0.223698 + 0.177342i
\(253\) −12.3964 + 12.1147i −0.779357 + 0.761643i
\(254\) 3.27458 + 5.67174i 0.205466 + 0.355877i
\(255\) −0.231894 1.20318i −0.0145217 0.0753459i
\(256\) 2.09061 1.07778i 0.130663 0.0673615i
\(257\) −10.5484 26.3487i −0.657994 1.64359i −0.760878 0.648895i \(-0.775231\pi\)
0.102884 0.994693i \(-0.467193\pi\)
\(258\) −0.754770 + 1.65272i −0.0469899 + 0.102894i
\(259\) −12.1098 2.88757i −0.752466 0.179425i
\(260\) 3.12323 10.6367i 0.193694 0.659662i
\(261\) −1.62451 0.837494i −0.100555 0.0518396i
\(262\) −0.00919600 + 0.0963049i −0.000568131 + 0.00594973i
\(263\) 14.2563 + 3.45853i 0.879079 + 0.213262i 0.649806 0.760100i \(-0.274850\pi\)
0.229273 + 0.973362i \(0.426365\pi\)
\(264\) 7.06138 + 1.36097i 0.434598 + 0.0837619i
\(265\) 2.82020 + 2.44372i 0.173244 + 0.150116i
\(266\) 2.25351 + 4.88372i 0.138171 + 0.299440i
\(267\) 9.36925 4.27879i 0.573389 0.261858i
\(268\) 5.90236 11.4490i 0.360544 0.699358i
\(269\) 9.41951 + 9.87890i 0.574318 + 0.602327i 0.945256 0.326331i \(-0.105812\pi\)
−0.370938 + 0.928658i \(0.620964\pi\)
\(270\) −0.256903 + 0.641712i −0.0156346 + 0.0390534i
\(271\) −0.835920 8.75415i −0.0507785 0.531777i −0.984695 0.174286i \(-0.944238\pi\)
0.933917 0.357491i \(-0.116368\pi\)
\(272\) −0.318971 + 2.21849i −0.0193404 + 0.134516i
\(273\) −5.46789 + 12.0983i −0.330932 + 0.732225i
\(274\) 0.811316 0.703009i 0.0490134 0.0424703i
\(275\) 10.4429 6.02922i 0.629732 0.363576i
\(276\) 2.03467 + 7.95829i 0.122472 + 0.479033i
\(277\) −13.9852 + 24.2231i −0.840290 + 1.45543i 0.0493591 + 0.998781i \(0.484282\pi\)
−0.889649 + 0.456644i \(0.849051\pi\)
\(278\) 3.51264 + 1.21574i 0.210674 + 0.0729150i
\(279\) 3.65433 5.68625i 0.218779 0.340427i
\(280\) 3.37192 5.89359i 0.201511 0.352209i
\(281\) −13.7623 6.28501i −0.820987 0.374932i −0.0397833 0.999208i \(-0.512667\pi\)
−0.781204 + 0.624276i \(0.785394\pi\)
\(282\) −1.54573 + 1.21558i −0.0920470 + 0.0723866i
\(283\) −11.2257 + 10.7036i −0.667296 + 0.636266i −0.946021 0.324105i \(-0.894937\pi\)
0.278725 + 0.960371i \(0.410088\pi\)
\(284\) −0.595076 12.4922i −0.0353113 0.741275i
\(285\) −3.98545 2.83802i −0.236077 0.168110i
\(286\) 9.32584 2.73831i 0.551448 0.161920i
\(287\) 23.2662 + 1.01688i 1.37336 + 0.0600242i
\(288\) 3.43399 3.96304i 0.202350 0.233524i
\(289\) −11.6503 11.1085i −0.685312 0.653444i
\(290\) 1.25762 + 0.120088i 0.0738502 + 0.00705184i
\(291\) −6.31110 + 0.300635i −0.369964 + 0.0176235i
\(292\) 0.753503 0.182798i 0.0440954 0.0106974i
\(293\) 0.192160 + 1.33650i 0.0112261 + 0.0780794i 0.994664 0.103164i \(-0.0328968\pi\)
−0.983438 + 0.181244i \(0.941988\pi\)
\(294\) −2.29577 + 2.96690i −0.133892 + 0.173033i
\(295\) −8.95705 1.28783i −0.521500 0.0749803i
\(296\) 9.35192 + 0.445487i 0.543569 + 0.0258934i
\(297\) 3.54889 0.683993i 0.205928 0.0396893i
\(298\) −7.80766 4.50775i −0.452285 0.261127i
\(299\) 15.9824 + 17.9925i 0.924285 + 1.04053i
\(300\) 5.71457i 0.329931i
\(301\) 1.66300 8.81434i 0.0958538 0.508050i
\(302\) 9.67651 + 6.21871i 0.556821 + 0.357847i
\(303\) 13.5979 5.44378i 0.781179 0.312737i
\(304\) 5.19119 + 7.29000i 0.297735 + 0.418110i
\(305\) −7.65346 3.06398i −0.438236 0.175443i
\(306\) −0.120030 0.494771i −0.00686167 0.0282842i
\(307\) 7.92043 + 12.3244i 0.452043 + 0.703392i 0.990232 0.139432i \(-0.0445277\pi\)
−0.538189 + 0.842824i \(0.680891\pi\)
\(308\) −16.3565 + 0.843458i −0.931998 + 0.0480605i
\(309\) 4.11496 + 14.0143i 0.234092 + 0.797244i
\(310\) −0.884215 + 4.58775i −0.0502201 + 0.260566i
\(311\) 17.1683 5.94201i 0.973526 0.336941i 0.206422 0.978463i \(-0.433818\pi\)
0.767104 + 0.641523i \(0.221697\pi\)
\(312\) 2.35398 9.70323i 0.133268 0.549337i
\(313\) −17.2207 + 24.1831i −0.973371 + 1.36691i −0.0434874 + 0.999054i \(0.513847\pi\)
−0.929883 + 0.367854i \(0.880093\pi\)
\(314\) 5.16847 3.32158i 0.291674 0.187447i
\(315\) 0.472400 3.37965i 0.0266167 0.190422i
\(316\) 5.86247 0.842896i 0.329790 0.0474166i
\(317\) −32.2418 + 3.07872i −1.81088 + 0.172918i −0.944942 0.327237i \(-0.893883\pi\)
−0.865936 + 0.500155i \(0.833276\pi\)
\(318\) 1.21878 + 0.958461i 0.0683459 + 0.0537478i
\(319\) −3.02687 5.87131i −0.169472 0.328731i
\(320\) 0.805003 2.32590i 0.0450010 0.130022i
\(321\) −14.0304 −0.783103
\(322\) 3.21360 + 5.99273i 0.179087 + 0.333962i
\(323\) 3.60369 0.200515
\(324\) 0.560200 1.61859i 0.0311222 0.0899218i
\(325\) −7.67178 14.8812i −0.425554 0.825459i
\(326\) −6.40687 5.03842i −0.354844 0.279052i
\(327\) 12.7948 1.22176i 0.707556 0.0675634i
\(328\) −17.3359 + 2.49252i −0.957212 + 0.137626i
\(329\) 5.97119 7.65457i 0.329202 0.422010i
\(330\) −2.10165 + 1.35065i −0.115692 + 0.0743507i
\(331\) 0.822201 1.15462i 0.0451922 0.0634636i −0.791362 0.611348i \(-0.790627\pi\)
0.836554 + 0.547885i \(0.184567\pi\)
\(332\) −2.25362 + 9.28956i −0.123684 + 0.509831i
\(333\) 4.44660 1.53898i 0.243672 0.0843358i
\(334\) −0.981596 + 5.09300i −0.0537105 + 0.278677i
\(335\) 2.73276 + 9.30693i 0.149307 + 0.508492i
\(336\) −2.83847 + 5.55929i −0.154851 + 0.303284i
\(337\) −13.0759 20.3464i −0.712288 1.10834i −0.989075 0.147410i \(-0.952906\pi\)
0.276788 0.960931i \(-0.410730\pi\)
\(338\) −1.53904 6.34402i −0.0837129 0.345069i
\(339\) 17.0324 + 6.81876i 0.925075 + 0.370344i
\(340\) −1.21738 1.70957i −0.0660217 0.0927144i
\(341\) 22.6794 9.07947i 1.22816 0.491681i
\(342\) −1.71019 1.09907i −0.0924765 0.0594310i
\(343\) 7.49487 16.9360i 0.404685 0.914456i
\(344\) 6.74580i 0.363709i
\(345\) −5.24449 3.27995i −0.282354 0.176587i
\(346\) −9.16942 5.29396i −0.492951 0.284605i
\(347\) 4.37026 0.842299i 0.234608 0.0452170i −0.0705919 0.997505i \(-0.522489\pi\)
0.305200 + 0.952288i \(0.401277\pi\)
\(348\) −3.12690 0.148953i −0.167620 0.00798471i
\(349\) 0.978539 + 0.140693i 0.0523800 + 0.00753111i 0.168455 0.985709i \(-0.446122\pi\)
−0.116075 + 0.993240i \(0.537031\pi\)
\(350\) −1.13332 4.59292i −0.0605785 0.245502i
\(351\) −0.714147 4.96700i −0.0381183 0.265119i
\(352\) 18.4181 4.46818i 0.981688 0.238155i
\(353\) −32.3847 + 1.54267i −1.72366 + 0.0821082i −0.885886 0.463903i \(-0.846449\pi\)
−0.837778 + 0.546011i \(0.816146\pi\)
\(354\) −3.74291 0.357405i −0.198933 0.0189958i
\(355\) 6.81598 + 6.49903i 0.361755 + 0.344932i
\(356\) 11.5530 13.3328i 0.612306 0.706639i
\(357\) 1.16049 + 2.22953i 0.0614199 + 0.117999i
\(358\) −5.63726 + 1.65525i −0.297939 + 0.0874826i
\(359\) −16.5597 11.7921i −0.873988 0.622364i 0.0525281 0.998619i \(-0.483272\pi\)
−0.926516 + 0.376256i \(0.877211\pi\)
\(360\) 0.122113 + 2.56347i 0.00643594 + 0.135107i
\(361\) −3.33685 + 3.18168i −0.175624 + 0.167457i
\(362\) −4.14255 + 3.25774i −0.217728 + 0.171223i
\(363\) 1.87609 + 0.856781i 0.0984691 + 0.0449693i
\(364\) 0.0891771 + 22.7399i 0.00467415 + 1.19189i
\(365\) −0.315668 + 0.491189i −0.0165228 + 0.0257100i
\(366\) −3.23699 1.12033i −0.169200 0.0585608i
\(367\) −18.6791 + 32.3531i −0.975040 + 1.68882i −0.295235 + 0.955425i \(0.595398\pi\)
−0.679804 + 0.733394i \(0.737935\pi\)
\(368\) 7.10312 + 8.80713i 0.370276 + 0.459104i
\(369\) −7.62293 + 4.40110i −0.396834 + 0.229112i
\(370\) −2.45807 + 2.12993i −0.127789 + 0.110730i
\(371\) −6.97536 3.15254i −0.362143 0.163672i
\(372\) 1.64761 11.4594i 0.0854246 0.594141i
\(373\) 0.790097 + 8.27427i 0.0409097 + 0.428425i 0.992606 + 0.121384i \(0.0387331\pi\)
−0.951696 + 0.307042i \(0.900661\pi\)
\(374\) 0.683886 1.70826i 0.0353629 0.0883322i
\(375\) 7.41996 + 7.78183i 0.383165 + 0.401852i
\(376\) −3.34552 + 6.48940i −0.172532 + 0.334665i
\(377\) −8.34266 + 3.80996i −0.429669 + 0.196223i
\(378\) 0.129244 1.41200i 0.00664757 0.0726252i
\(379\) 21.1450 + 18.3222i 1.08614 + 0.941148i 0.998486 0.0550023i \(-0.0175166\pi\)
0.0876569 + 0.996151i \(0.472062\pi\)
\(380\) −8.22869 1.58595i −0.422123 0.0813575i
\(381\) 11.8760 + 2.88110i 0.608428 + 0.147603i
\(382\) 0.338054 3.54026i 0.0172963 0.181135i
\(383\) 3.81425 + 1.96638i 0.194899 + 0.100478i 0.552914 0.833238i \(-0.313516\pi\)
−0.358015 + 0.933716i \(0.616546\pi\)
\(384\) 3.24284 11.0441i 0.165486 0.563592i
\(385\) 8.47601 8.95947i 0.431977 0.456617i
\(386\) 3.65739 8.00857i 0.186156 0.407625i
\(387\) 1.26004 + 3.14743i 0.0640515 + 0.159993i
\(388\) −9.61887 + 4.95887i −0.488324 + 0.251749i
\(389\) 6.26353 + 32.4983i 0.317573 + 1.64773i 0.693045 + 0.720894i \(0.256269\pi\)
−0.375472 + 0.926834i \(0.622519\pi\)
\(390\) 1.73431 + 3.00392i 0.0878204 + 0.152109i
\(391\) 4.54789 0.272767i 0.229997 0.0137944i
\(392\) −3.17744 + 13.5609i −0.160485 + 0.684930i
\(393\) 0.118215 + 0.136427i 0.00596315 + 0.00688184i
\(394\) 0.165521 3.47472i 0.00833883 0.175054i
\(395\) −2.75704 + 3.50586i −0.138722 + 0.176399i
\(396\) 5.04254 3.59078i 0.253397 0.180443i
\(397\) 2.09146 + 2.65950i 0.104967 + 0.133477i 0.835698 0.549189i \(-0.185063\pi\)
−0.730731 + 0.682665i \(0.760821\pi\)
\(398\) −5.74661 1.68736i −0.288052 0.0845796i
\(399\) 9.49704 + 3.24531i 0.475447 + 0.162469i
\(400\) −3.26991 7.16010i −0.163495 0.358005i
\(401\) 9.12604 9.57112i 0.455733 0.477959i −0.455273 0.890352i \(-0.650458\pi\)
0.911006 + 0.412393i \(0.135307\pi\)
\(402\) 1.31818 + 3.80863i 0.0657448 + 0.189957i
\(403\) −11.0936 32.0530i −0.552614 1.59667i
\(404\) 17.3123 18.1567i 0.861321 0.903328i
\(405\) 0.535804 + 1.17325i 0.0266243 + 0.0582992i
\(406\) −2.54270 + 0.500415i −0.126192 + 0.0248352i
\(407\) 16.3174 + 4.79121i 0.808822 + 0.237492i
\(408\) −1.16849 1.48585i −0.0578486 0.0735605i
\(409\) −8.76142 + 6.23898i −0.433224 + 0.308498i −0.775784 0.630998i \(-0.782645\pi\)
0.342560 + 0.939496i \(0.388706\pi\)
\(410\) 3.76107 4.78259i 0.185746 0.236195i
\(411\) 0.0953142 2.00089i 0.00470150 0.0986967i
\(412\) 16.3826 + 18.9065i 0.807113 + 0.931458i
\(413\) 18.3629 2.71373i 0.903580 0.133534i
\(414\) −2.24147 1.25760i −0.110162 0.0618074i
\(415\) −3.59917 6.23394i −0.176676 0.306012i
\(416\) −4.97996 25.8385i −0.244163 1.26684i
\(417\) 6.16490 3.17823i 0.301896 0.155638i
\(418\) −2.73073 6.82104i −0.133564 0.333628i
\(419\) 11.3200 24.7873i 0.553018 1.21094i −0.402341 0.915490i \(-0.631803\pi\)
0.955358 0.295449i \(-0.0954694\pi\)
\(420\) −1.66868 5.60166i −0.0814234 0.273333i
\(421\) 11.0155 37.5154i 0.536863 1.82839i −0.0229018 0.999738i \(-0.507290\pi\)
0.559765 0.828651i \(-0.310891\pi\)
\(422\) 1.61331 + 0.831721i 0.0785348 + 0.0404875i
\(423\) −0.348792 + 3.65271i −0.0169588 + 0.177601i
\(424\) 5.59445 + 1.35720i 0.271690 + 0.0659114i
\(425\) −3.11232 0.599851i −0.150970 0.0290970i
\(426\) 2.95733 + 2.56254i 0.143283 + 0.124155i
\(427\) 16.8403 + 1.54144i 0.814961 + 0.0745954i
\(428\) −21.8596 + 9.98295i −1.05662 + 0.482544i
\(429\) 8.31056 16.1202i 0.401237 0.778292i
\(430\) −1.61717 1.69604i −0.0779868 0.0817902i
\(431\) 11.6215 29.0290i 0.559786 1.39828i −0.330904 0.943665i \(-0.607354\pi\)
0.890689 0.454612i \(-0.150222\pi\)
\(432\) −0.224261 2.34857i −0.0107898 0.112996i
\(433\) 4.69904 32.6825i 0.225821 1.57062i −0.489612 0.871941i \(-0.662861\pi\)
0.715433 0.698681i \(-0.246230\pi\)
\(434\) −0.948419 9.53690i −0.0455256 0.457786i
\(435\) 1.78157 1.54374i 0.0854198 0.0740167i
\(436\) 19.0652 11.0073i 0.913057 0.527154i
\(437\) 12.3911 13.3198i 0.592747 0.637172i
\(438\) −0.121301 + 0.210099i −0.00579598 + 0.0100389i
\(439\) −2.55633 0.884756i −0.122007 0.0422271i 0.265382 0.964143i \(-0.414502\pi\)
−0.387389 + 0.921916i \(0.626623\pi\)
\(440\) −5.01467 + 7.80299i −0.239065 + 0.371993i
\(441\) 1.05052 + 6.92072i 0.0500246 + 0.329558i
\(442\) −2.32394 1.06131i −0.110539 0.0504813i
\(443\) 3.89346 3.06185i 0.184984 0.145473i −0.521373 0.853329i \(-0.674580\pi\)
0.706357 + 0.707856i \(0.250338\pi\)
\(444\) 5.83284 5.56160i 0.276814 0.263942i
\(445\) 0.632128 + 13.2700i 0.0299657 + 0.629058i
\(446\) −9.49159 6.75893i −0.449440 0.320045i
\(447\) −16.1412 + 4.73948i −0.763452 + 0.224170i
\(448\) −0.220451 + 5.04394i −0.0104153 + 0.238304i
\(449\) −24.1106 + 27.8251i −1.13785 + 1.31315i −0.194667 + 0.980869i \(0.562363\pi\)
−0.943182 + 0.332278i \(0.892183\pi\)
\(450\) 1.29406 + 1.23388i 0.0610025 + 0.0581657i
\(451\) −31.6689 3.02401i −1.49123 0.142395i
\(452\) 31.3885 1.49522i 1.47639 0.0703291i
\(453\) 20.8582 5.06015i 0.980006 0.237747i
\(454\) −0.106377 0.739869i −0.00499253 0.0347238i
\(455\) −11.8656 12.3469i −0.556266 0.578833i
\(456\) −7.47094 1.07416i −0.349859 0.0503021i
\(457\) −26.3782 1.25655i −1.23392 0.0587788i −0.579539 0.814945i \(-0.696767\pi\)
−0.654380 + 0.756166i \(0.727070\pi\)
\(458\) 5.21842 1.00577i 0.243841 0.0469965i
\(459\) −0.822728 0.475002i −0.0384017 0.0221712i
\(460\) −10.5047 1.37865i −0.489786 0.0642798i
\(461\) 0.404447i 0.0188370i −0.999956 0.00941850i \(-0.997002\pi\)
0.999956 0.00941850i \(-0.00299805\pi\)
\(462\) 3.34067 3.88603i 0.155422 0.180794i
\(463\) 25.1683 + 16.1747i 1.16967 + 0.751700i 0.973459 0.228862i \(-0.0735003\pi\)
0.196210 + 0.980562i \(0.437137\pi\)
\(464\) −4.00310 + 1.60260i −0.185839 + 0.0743988i
\(465\) 5.05701 + 7.10158i 0.234513 + 0.329328i
\(466\) −5.35533 2.14395i −0.248081 0.0993166i
\(467\) −5.52192 22.7617i −0.255524 1.05328i −0.944503 0.328503i \(-0.893456\pi\)
0.688979 0.724782i \(-0.258059\pi\)
\(468\) −4.64677 7.23052i −0.214797 0.334231i
\(469\) −10.8227 16.6962i −0.499747 0.770958i
\(470\) −0.714568 2.43360i −0.0329606 0.112253i
\(471\) 2.16959 11.2569i 0.0999695 0.518691i
\(472\) −13.1921 + 4.56583i −0.607215 + 0.210159i
\(473\) −2.88880 + 11.9078i −0.132827 + 0.547520i
\(474\) −1.07494 + 1.50955i −0.0493738 + 0.0693357i
\(475\) −10.6470 + 6.84240i −0.488517 + 0.313951i
\(476\) 3.39442 + 2.64793i 0.155583 + 0.121368i
\(477\) 2.86375 0.411745i 0.131122 0.0188525i
\(478\) 9.02164 0.861462i 0.412640 0.0394023i
\(479\) 24.3595 + 19.1565i 1.11301 + 0.875284i 0.993073 0.117497i \(-0.0374872\pi\)
0.119941 + 0.992781i \(0.461730\pi\)
\(480\) 3.09923 + 6.01168i 0.141460 + 0.274394i
\(481\) 7.72273 22.3134i 0.352126 1.01740i
\(482\) 14.2970 0.651210
\(483\) 12.2310 + 3.37677i 0.556530 + 0.153648i
\(484\) 3.53259 0.160572
\(485\) 2.66538 7.70112i 0.121029 0.349690i
\(486\) 0.245571 + 0.476341i 0.0111393 + 0.0216072i
\(487\) −10.9534 8.61386i −0.496346 0.390331i 0.338368 0.941014i \(-0.390125\pi\)
−0.834715 + 0.550683i \(0.814367\pi\)
\(488\) −12.6602 + 1.20890i −0.573099 + 0.0547243i
\(489\) −15.0541 + 2.16445i −0.680770 + 0.0978799i
\(490\) −2.45208 4.17123i −0.110774 0.188437i
\(491\) 7.55370 4.85447i 0.340894 0.219079i −0.358981 0.933345i \(-0.616876\pi\)
0.699874 + 0.714266i \(0.253239\pi\)
\(492\) −8.74515 + 12.2808i −0.394262 + 0.553663i
\(493\) −0.409351 + 1.68737i −0.0184362 + 0.0759951i
\(494\) −9.64022 + 3.33651i −0.433734 + 0.150117i
\(495\) −0.882217 + 4.57738i −0.0396527 + 0.205738i
\(496\) −4.49274 15.3009i −0.201730 0.687029i
\(497\) −17.2056 8.78486i −0.771776 0.394055i
\(498\) −1.61701 2.51612i −0.0724600 0.112750i
\(499\) −1.75441 7.23180i −0.0785384 0.323740i 0.918967 0.394335i \(-0.129025\pi\)
−0.997505 + 0.0705956i \(0.977510\pi\)
\(500\) 17.0973 + 6.84474i 0.764616 + 0.306106i
\(501\) 5.61395 + 7.88369i 0.250813 + 0.352217i
\(502\) 2.45550 0.983033i 0.109594 0.0438749i
\(503\) −16.0118 10.2902i −0.713933 0.458817i 0.132589 0.991171i \(-0.457671\pi\)
−0.846522 + 0.532354i \(0.821307\pi\)
\(504\) −1.74130 4.96804i −0.0775638 0.221294i
\(505\) 18.8919i 0.840679i
\(506\) −3.96250 8.40153i −0.176155 0.373493i
\(507\) −10.5491 6.09054i −0.468503 0.270491i
\(508\) 20.5530 3.96126i 0.911891 0.175753i
\(509\) 22.7809 + 1.08519i 1.00975 + 0.0481002i 0.545930 0.837831i \(-0.316177\pi\)
0.463817 + 0.885931i \(0.346480\pi\)
\(510\) 0.649985 + 0.0934537i 0.0287818 + 0.00413820i
\(511\) 0.332921 1.15050i 0.0147275 0.0508949i
\(512\) −3.09680 21.5387i −0.136861 0.951886i
\(513\) −3.68641 + 0.894313i −0.162759 + 0.0394849i
\(514\) 15.1930 0.723732i 0.670135 0.0319225i
\(515\) −18.7535 1.79074i −0.826377 0.0789094i
\(516\) 4.20262 + 4.00719i 0.185010 + 0.176407i
\(517\) −8.68456 + 10.0225i −0.381946 + 0.440790i
\(518\) 3.58499 5.62675i 0.157516 0.247225i
\(519\) −18.9564 + 5.56611i −0.832095 + 0.244325i
\(520\) 10.4904 + 7.47015i 0.460032 + 0.327588i
\(521\) 0.996066 + 20.9100i 0.0436385 + 0.916084i 0.909475 + 0.415758i \(0.136484\pi\)
−0.865837 + 0.500326i \(0.833213\pi\)
\(522\) 0.708886 0.675922i 0.0310271 0.0295843i
\(523\) 1.74706 1.37390i 0.0763937 0.0600767i −0.579232 0.815163i \(-0.696647\pi\)
0.655626 + 0.755086i \(0.272405\pi\)
\(524\) 0.281251 + 0.128443i 0.0122865 + 0.00561106i
\(525\) −7.66191 4.38363i −0.334393 0.191317i
\(526\) −4.25039 + 6.61374i −0.185326 + 0.288373i
\(527\) −6.06816 2.10021i −0.264333 0.0914866i
\(528\) 4.26341 7.38445i 0.185541 0.321367i
\(529\) 14.6295 17.7476i 0.636066 0.771635i
\(530\) −1.73192 + 0.999927i −0.0752300 + 0.0434341i
\(531\) −5.30227 + 4.59445i −0.230099 + 0.199382i
\(532\) 17.1056 1.70111i 0.741622 0.0737523i
\(533\) −6.28606 + 43.7205i −0.272280 + 1.89375i
\(534\) 0.524705 + 5.49496i 0.0227062 + 0.237790i
\(535\) 6.72580 16.8002i 0.290782 0.726338i
\(536\) 10.3261 + 10.8297i 0.446020 + 0.467772i
\(537\) −5.02355 + 9.74432i −0.216782 + 0.420498i
\(538\) −6.65413 + 3.03884i −0.286880 + 0.131014i
\(539\) −11.4161 + 22.5773i −0.491728 + 0.972471i
\(540\) 1.66958 + 1.44670i 0.0718473 + 0.0622560i
\(541\) 30.2957 + 5.83901i 1.30251 + 0.251039i 0.792893 0.609361i \(-0.208574\pi\)
0.509619 + 0.860400i \(0.329786\pi\)
\(542\) 4.57998 + 1.11109i 0.196727 + 0.0477254i
\(543\) −0.934758 + 9.78923i −0.0401143 + 0.420096i
\(544\) −4.42790 2.28274i −0.189844 0.0978716i
\(545\) −4.67053 + 15.9064i −0.200064 + 0.681354i
\(546\) −5.16867 4.88977i −0.221199 0.209263i
\(547\) −9.52654 + 20.8602i −0.407325 + 0.891918i 0.589149 + 0.808024i \(0.299463\pi\)
−0.996475 + 0.0838941i \(0.973264\pi\)
\(548\) −1.27517 3.18523i −0.0544728 0.136066i
\(549\) −5.68113 + 2.92883i −0.242465 + 0.124999i
\(550\) 1.22300 + 6.34552i 0.0521489 + 0.270574i
\(551\) 3.46651 + 6.00417i 0.147678 + 0.255786i
\(552\) −9.50971 0.790117i −0.404760 0.0336296i
\(553\) 3.36696 8.50679i 0.143178 0.361745i
\(554\) −9.81622 11.3285i −0.417051 0.481303i
\(555\) −0.288776 + 6.06216i −0.0122579 + 0.257325i
\(556\) 7.34362 9.33817i 0.311439 0.396027i
\(557\) −35.1320 + 25.0174i −1.48859 + 1.06002i −0.508594 + 0.861007i \(0.669835\pi\)
−0.979997 + 0.199014i \(0.936226\pi\)
\(558\) 2.23921 + 2.84739i 0.0947935 + 0.120540i
\(559\) 16.3236 + 4.79303i 0.690413 + 0.202724i
\(560\) −5.29608 6.06379i −0.223800 0.256242i
\(561\) −1.42633 3.12323i −0.0602198 0.131863i
\(562\) 5.59524 5.86812i 0.236021 0.247532i
\(563\) −8.38729 24.2335i −0.353482 1.02132i −0.971885 0.235458i \(-0.924341\pi\)
0.618403 0.785861i \(-0.287780\pi\)
\(564\) 2.05556 + 5.93914i 0.0865546 + 0.250083i
\(565\) −16.3298 + 17.1262i −0.686998 + 0.720503i
\(566\) −3.45312 7.56127i −0.145145 0.317824i
\(567\) −1.74043 1.99272i −0.0730910 0.0836862i
\(568\) 13.9400 + 4.09317i 0.584911 + 0.171746i
\(569\) 6.52654 + 8.29917i 0.273607 + 0.347919i 0.903365 0.428872i \(-0.141089\pi\)
−0.629759 + 0.776791i \(0.716846\pi\)
\(570\) 2.13586 1.52094i 0.0894614 0.0637052i
\(571\) 3.29464 4.18947i 0.137876 0.175324i −0.712212 0.701965i \(-0.752306\pi\)
0.850088 + 0.526641i \(0.176549\pi\)
\(572\) 1.47808 31.0287i 0.0618015 1.29737i
\(573\) −4.34569 5.01519i −0.181544 0.209513i
\(574\) −4.59311 + 11.6047i −0.191713 + 0.484371i
\(575\) −12.9187 + 9.44106i −0.538747 + 0.393720i
\(576\) −0.954125 1.65259i −0.0397552 0.0688581i
\(577\) −7.06578 36.6607i −0.294152 1.52621i −0.765022 0.644004i \(-0.777272\pi\)
0.470870 0.882202i \(-0.343940\pi\)
\(578\) 7.66789 3.95307i 0.318942 0.164426i
\(579\) −6.10579 15.2515i −0.253748 0.633831i
\(580\) 1.67731 3.67279i 0.0696464 0.152504i
\(581\) 10.7264 + 10.1476i 0.445005 + 0.420992i
\(582\) 0.953961 3.24889i 0.0395430 0.134671i
\(583\) 9.29420 + 4.79149i 0.384926 + 0.198443i
\(584\) −0.0856199 + 0.896652i −0.00354298 + 0.0371037i
\(585\) 6.28989 + 1.52591i 0.260055 + 0.0630887i
\(586\) −0.710542 0.136946i −0.0293522 0.00565718i
\(587\) −23.8905 20.7012i −0.986065 0.854430i 0.00328370 0.999995i \(-0.498955\pi\)
−0.989349 + 0.145564i \(0.953500\pi\)
\(588\) 6.56096 + 10.0351i 0.270569 + 0.413841i
\(589\) −23.3231 + 10.6513i −0.961011 + 0.438879i
\(590\) 2.22221 4.31048i 0.0914868 0.177460i
\(591\) −4.47934 4.69780i −0.184255 0.193242i
\(592\) 4.12591 10.3060i 0.169574 0.423575i
\(593\) −1.45667 15.2549i −0.0598183 0.626445i −0.974820 0.222995i \(-0.928417\pi\)
0.915001 0.403451i \(-0.132189\pi\)
\(594\) −0.275651 + 1.91719i −0.0113101 + 0.0786634i
\(595\) −3.22598 + 0.320815i −0.132252 + 0.0131521i
\(596\) −21.7759 + 18.8690i −0.891977 + 0.772903i
\(597\) −9.67842 + 5.58784i −0.396111 + 0.228695i
\(598\) −11.9135 + 4.94039i −0.487180 + 0.202028i
\(599\) −12.9964 + 22.5105i −0.531019 + 0.919753i 0.468325 + 0.883556i \(0.344858\pi\)
−0.999345 + 0.0361964i \(0.988476\pi\)
\(600\) 6.27347 + 2.17127i 0.256113 + 0.0886417i
\(601\) 15.5899 24.2584i 0.635926 0.989520i −0.362419 0.932015i \(-0.618049\pi\)
0.998345 0.0575052i \(-0.0183146\pi\)
\(602\) 4.17245 + 2.38720i 0.170056 + 0.0972948i
\(603\) 6.84079 + 3.12408i 0.278578 + 0.127223i
\(604\) 28.8970 22.7249i 1.17580 0.924661i
\(605\) −1.92527 + 1.83574i −0.0782732 + 0.0746333i
\(606\) 0.373499 + 7.84072i 0.0151724 + 0.318507i
\(607\) 38.5163 + 27.4273i 1.56333 + 1.11324i 0.944882 + 0.327411i \(0.106176\pi\)
0.618445 + 0.785828i \(0.287763\pi\)
\(608\) −19.0859 + 5.60413i −0.774037 + 0.227278i
\(609\) −2.59835 + 4.07819i −0.105290 + 0.165256i
\(610\) 2.89323 3.33896i 0.117143 0.135191i
\(611\) 13.3261 + 12.7064i 0.539116 + 0.514046i
\(612\) −1.61980 0.154672i −0.0654764 0.00625223i
\(613\) −10.4926 + 0.499825i −0.423793 + 0.0201877i −0.258395 0.966039i \(-0.583194\pi\)
−0.165398 + 0.986227i \(0.552891\pi\)
\(614\) −7.62989 + 1.85099i −0.307917 + 0.0746999i
\(615\) −1.61572 11.2376i −0.0651520 0.453142i
\(616\) 5.28875 18.2767i 0.213090 0.736388i
\(617\) 47.7979 + 6.87229i 1.92427 + 0.276668i 0.995559 0.0941386i \(-0.0300097\pi\)
0.928710 + 0.370807i \(0.120919\pi\)
\(618\) −7.81867 0.372449i −0.314513 0.0149821i
\(619\) 12.1349 2.33882i 0.487744 0.0940050i 0.0605505 0.998165i \(-0.480714\pi\)
0.427194 + 0.904160i \(0.359502\pi\)
\(620\) 12.9318 + 7.46618i 0.519354 + 0.299849i
\(621\) −4.58459 + 1.40766i −0.183973 + 0.0564874i
\(622\) 9.73625i 0.390388i
\(623\) −9.01397 25.7174i −0.361137 1.03035i
\(624\) −9.95953 6.40060i −0.398700 0.256229i
\(625\) 2.61206 1.04571i 0.104482 0.0418284i
\(626\) −9.22883 12.9601i −0.368858 0.517989i
\(627\) −12.7278 5.09545i −0.508300 0.203493i
\(628\) −4.62927 19.0821i −0.184728 0.761460i
\(629\) −2.41674 3.76053i −0.0963619 0.149942i
\(630\) 1.62879 + 0.831630i 0.0648925 + 0.0331329i
\(631\) 6.78711 + 23.1148i 0.270191 + 0.920185i 0.977082 + 0.212863i \(0.0682788\pi\)
−0.706891 + 0.707322i \(0.749903\pi\)
\(632\) −1.30213 + 6.75609i −0.0517960 + 0.268743i
\(633\) 3.20061 1.10774i 0.127213 0.0440288i
\(634\) 4.09218 16.8682i 0.162521 0.669921i
\(635\) −9.14291 + 12.8394i −0.362825 + 0.509517i
\(636\) 4.16879 2.67912i 0.165303 0.106234i
\(637\) 30.5573 + 17.3241i 1.21072 + 0.686407i
\(638\) 3.50402 0.503803i 0.138726 0.0199457i
\(639\) 7.26866 0.694073i 0.287544 0.0274571i
\(640\) 11.6698 + 9.17726i 0.461291 + 0.362763i
\(641\) 10.8066 + 20.9619i 0.426835 + 0.827943i 0.999964 + 0.00847869i \(0.00269888\pi\)
−0.573130 + 0.819465i \(0.694271\pi\)
\(642\) 2.45927 7.10558i 0.0970595 0.280435i
\(643\) −24.7017 −0.974138 −0.487069 0.873363i \(-0.661934\pi\)
−0.487069 + 0.873363i \(0.661934\pi\)
\(644\) 21.4587 3.44155i 0.845591 0.135616i
\(645\) −4.37281 −0.172179
\(646\) −0.631657 + 1.82505i −0.0248522 + 0.0718058i
\(647\) 12.6547 + 24.5467i 0.497507 + 0.965030i 0.995217 + 0.0976862i \(0.0311441\pi\)
−0.497710 + 0.867344i \(0.665826\pi\)
\(648\) 1.56404 + 1.22998i 0.0614415 + 0.0483181i
\(649\) −25.2421 + 2.41033i −0.990840 + 0.0946137i
\(650\) 8.88114 1.27692i 0.348347 0.0500847i
\(651\) −14.1005 10.9995i −0.552641 0.431105i
\(652\) −21.9144 + 14.0835i −0.858235 + 0.551554i
\(653\) 27.6236 38.7919i 1.08100 1.51805i 0.244831 0.969566i \(-0.421268\pi\)
0.836164 0.548479i \(-0.184793\pi\)
\(654\) −1.62394 + 6.69397i −0.0635011 + 0.261755i
\(655\) −0.220029 + 0.0761527i −0.00859723 + 0.00297553i
\(656\) −3.93011 + 20.3913i −0.153445 + 0.796148i
\(657\) 0.127537 + 0.434350i 0.00497567 + 0.0169456i
\(658\) 2.82995 + 4.36575i 0.110323 + 0.170195i
\(659\) 2.84111 + 4.42086i 0.110674 + 0.172212i 0.892172 0.451695i \(-0.149181\pi\)
−0.781498 + 0.623907i \(0.785544\pi\)
\(660\) 1.88239 + 7.75933i 0.0732720 + 0.302031i
\(661\) 6.83432 + 2.73605i 0.265824 + 0.106420i 0.500746 0.865594i \(-0.333059\pi\)
−0.234922 + 0.972014i \(0.575483\pi\)
\(662\) 0.440630 + 0.618778i 0.0171256 + 0.0240495i
\(663\) −4.42571 + 1.77179i −0.171880 + 0.0688106i
\(664\) −9.34183 6.00363i −0.362533 0.232986i
\(665\) −8.43859 + 9.81617i −0.327235 + 0.380655i
\(666\) 2.52169i 0.0977136i
\(667\) 4.82923 + 7.31495i 0.186989 + 0.283236i
\(668\) 14.3560 + 8.28845i 0.555451 + 0.320690i
\(669\) −21.3497 + 4.11481i −0.825426 + 0.159088i
\(670\) −5.19240 0.247345i −0.200600 0.00955576i
\(671\) −22.8656 3.28758i −0.882717 0.126916i
\(672\) −9.61340 10.0034i −0.370845 0.385890i
\(673\) 3.48738 + 24.2553i 0.134429 + 0.934972i 0.939684 + 0.342044i \(0.111119\pi\)
−0.805255 + 0.592928i \(0.797972\pi\)
\(674\) 12.5962 3.05581i 0.485188 0.117705i
\(675\) 3.33262 0.158752i 0.128273 0.00611038i
\(676\) −20.7692 1.98322i −0.798817 0.0762777i
\(677\) −4.80347 4.58010i −0.184612 0.176027i 0.592137 0.805837i \(-0.298284\pi\)
−0.776749 + 0.629810i \(0.783133\pi\)
\(678\) −6.43876 + 7.43072i −0.247279 + 0.285375i
\(679\) −0.729918 + 16.7006i −0.0280117 + 0.640910i
\(680\) 2.33932 0.686885i 0.0897087 0.0263408i
\(681\) −1.13614 0.809044i −0.0435371 0.0310027i
\(682\) 0.622945 + 13.0772i 0.0238538 + 0.500753i
\(683\) −11.2297 + 10.7075i −0.429693 + 0.409711i −0.873818 0.486254i \(-0.838363\pi\)
0.444125 + 0.895965i \(0.353515\pi\)
\(684\) −5.10715 + 4.01631i −0.195277 + 0.153567i
\(685\) 2.35020 + 1.07330i 0.0897967 + 0.0410088i
\(686\) 7.26335 + 6.76425i 0.277316 + 0.258260i
\(687\) 5.36132 8.34238i 0.204547 0.318282i
\(688\) 7.55863 + 2.61607i 0.288170 + 0.0997366i
\(689\) 7.25914 12.5732i 0.276551 0.479001i
\(690\) 2.58036 2.08111i 0.0982326 0.0792264i
\(691\) −26.4952 + 15.2970i −1.00792 + 0.581925i −0.910583 0.413327i \(-0.864367\pi\)
−0.0973401 + 0.995251i \(0.531033\pi\)
\(692\) −25.5740 + 22.1600i −0.972176 + 0.842395i
\(693\) −0.946275 9.51535i −0.0359460 0.361458i
\(694\) −0.339449 + 2.36092i −0.0128853 + 0.0896192i
\(695\) 0.850371 + 8.90549i 0.0322564 + 0.337804i
\(696\) 1.35160 3.37613i 0.0512321 0.127972i
\(697\) 5.77053 + 6.05196i 0.218574 + 0.229234i
\(698\) −0.242772 + 0.470911i −0.00918904 + 0.0178242i
\(699\) −9.79119 + 4.47149i −0.370337 + 0.169127i
\(700\) −15.0564 1.37815i −0.569078 0.0520892i
\(701\) −21.6187 18.7327i −0.816528 0.707526i 0.142821 0.989749i \(-0.454383\pi\)
−0.959349 + 0.282223i \(0.908928\pi\)
\(702\) 2.64067 + 0.508947i 0.0996655 + 0.0192090i
\(703\) −17.3460 4.20809i −0.654217 0.158711i
\(704\) 0.655583 6.86558i 0.0247082 0.258756i
\(705\) −4.20660 2.16866i −0.158430 0.0816763i
\(706\) 4.89514 16.6713i 0.184231 0.627434i
\(707\) −11.0636 37.1397i −0.416089 1.39678i
\(708\) −4.99197 + 10.9309i −0.187610 + 0.410808i
\(709\) 6.43865 + 16.0830i 0.241809 + 0.604009i 0.998777 0.0494427i \(-0.0157445\pi\)
−0.756968 + 0.653452i \(0.773320\pi\)
\(710\) −4.48608 + 2.31274i −0.168360 + 0.0867954i
\(711\) 0.654421 + 3.39546i 0.0245427 + 0.127340i
\(712\) 10.2472 + 17.7487i 0.384031 + 0.665161i
\(713\) −28.6278 + 15.2074i −1.07212 + 0.569521i
\(714\) −1.33254 + 0.196927i −0.0498690 + 0.00736980i
\(715\) 15.3187 + 17.6788i 0.572888 + 0.661148i
\(716\) −0.893465 + 18.7561i −0.0333903 + 0.700949i
\(717\) 10.4535 13.2927i 0.390392 0.496424i
\(718\) 8.87460 6.31957i 0.331197 0.235844i
\(719\) 19.6806 + 25.0259i 0.733961 + 0.933307i 0.999526 0.0307858i \(-0.00980096\pi\)
−0.265565 + 0.964093i \(0.585559\pi\)
\(720\) 2.91972 + 0.857306i 0.108811 + 0.0319499i
\(721\) 37.9163 7.46210i 1.41208 0.277903i
\(722\) −1.02645 2.24760i −0.0382003 0.0836471i
\(723\) 18.4097 19.3076i 0.684665 0.718056i
\(724\) 5.50887 + 15.9168i 0.204736 + 0.591545i
\(725\) −1.99443 5.76251i −0.0740711 0.214014i
\(726\) −0.762751 + 0.799950i −0.0283083 + 0.0296889i
\(727\) 3.33936 + 7.31219i 0.123850 + 0.271194i 0.961394 0.275177i \(-0.0887363\pi\)
−0.837544 + 0.546371i \(0.816009\pi\)
\(728\) −24.9978 8.54219i −0.926479 0.316595i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −0.193427 0.245963i −0.00715907 0.00910350i
\(731\) 2.62358 1.86824i 0.0970364 0.0690993i
\(732\) −6.76735 + 8.60539i −0.250129 + 0.318064i
\(733\) 0.548275 11.5097i 0.0202510 0.425121i −0.965863 0.259052i \(-0.916590\pi\)
0.986114 0.166068i \(-0.0531072\pi\)
\(734\) −13.1108 15.1307i −0.483930 0.558485i
\(735\) −8.79056 2.05970i −0.324245 0.0759732i
\(736\) −23.6625 + 8.51711i −0.872210 + 0.313945i
\(737\) 13.5901 + 23.5388i 0.500598 + 0.867062i
\(738\) −0.892742 4.63199i −0.0328623 0.170506i
\(739\) 25.8971 13.3509i 0.952638 0.491119i 0.0894445 0.995992i \(-0.471491\pi\)
0.863194 + 0.504873i \(0.168461\pi\)
\(740\) 3.86344 + 9.65040i 0.142023 + 0.354756i
\(741\) −7.90753 + 17.3151i −0.290490 + 0.636085i
\(742\) 2.81922 2.98002i 0.103497 0.109400i
\(743\) 11.4150 38.8760i 0.418777 1.42622i −0.432561 0.901605i \(-0.642390\pi\)
0.851338 0.524618i \(-0.175792\pi\)
\(744\) 11.9541 + 6.16278i 0.438259 + 0.225938i
\(745\) 2.06252 21.5997i 0.0755648 0.791350i
\(746\) −4.32891 1.05018i −0.158493 0.0384499i
\(747\) −5.48009 1.05620i −0.200506 0.0386444i
\(748\) −4.44449 3.85117i −0.162507 0.140813i
\(749\) −3.38364 + 36.9665i −0.123635 + 1.35073i
\(750\) −5.24161 + 2.39376i −0.191397 + 0.0874079i
\(751\) 0.195657 0.379522i 0.00713963 0.0138490i −0.885239 0.465137i \(-0.846005\pi\)
0.892378 + 0.451288i \(0.149035\pi\)
\(752\) 5.97393 + 6.26527i 0.217847 + 0.228471i
\(753\) 1.83431 4.58188i 0.0668459 0.166973i
\(754\) −0.467213 4.89287i −0.0170149 0.178188i
\(755\) −3.93976 + 27.4016i −0.143383 + 0.997248i
\(756\) −4.12947 1.86633i −0.150187 0.0678777i
\(757\) −3.08752 + 2.67535i −0.112218 + 0.0972372i −0.709162 0.705045i \(-0.750927\pi\)
0.596945 + 0.802282i \(0.296381\pi\)
\(758\) −12.9854 + 7.49713i −0.471651 + 0.272308i
\(759\) −16.4483 5.46713i −0.597036 0.198444i
\(760\) 4.86757 8.43089i 0.176565 0.305820i
\(761\) −45.2252 15.6526i −1.63941 0.567407i −0.656962 0.753924i \(-0.728159\pi\)
−0.982452 + 0.186517i \(0.940280\pi\)
\(762\) −3.54074 + 5.50951i −0.128268 + 0.199588i
\(763\) −0.133357 34.0057i −0.00482785 1.23109i
\(764\) −10.3391 4.72169i −0.374054 0.170825i
\(765\) 0.963167 0.757443i 0.0348234 0.0273854i
\(766\) −1.66442 + 1.58702i −0.0601380 + 0.0573415i
\(767\) 1.67519 + 35.1665i 0.0604875 + 1.26979i
\(768\) 1.91595 + 1.36434i 0.0691357 + 0.0492313i
\(769\) −12.6394 + 3.71126i −0.455788 + 0.133832i −0.501565 0.865120i \(-0.667242\pi\)
0.0457762 + 0.998952i \(0.485424\pi\)
\(770\) 3.05176 + 5.86302i 0.109978 + 0.211288i
\(771\) 18.5861 21.4495i 0.669362 0.772485i
\(772\) −20.3647 19.4177i −0.732940 0.698857i
\(773\) 34.0739 + 3.25366i