Properties

Label 418.2.u.b.9.9
Level $418$
Weight $2$
Character 418.9
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 9.9
Character \(\chi\) \(=\) 418.9
Dual form 418.2.u.b.93.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.990268 + 0.139173i) q^{2} +(0.530296 - 2.12690i) q^{3} +(0.961262 + 0.275637i) q^{4} +(0.0547010 - 1.56643i) q^{5} +(0.821143 - 2.03240i) q^{6} +(2.87167 - 1.27855i) q^{7} +(0.913545 + 0.406737i) q^{8} +(-1.59366 - 0.847362i) q^{9} +O(q^{10})\) \(q+(0.990268 + 0.139173i) q^{2} +(0.530296 - 2.12690i) q^{3} +(0.961262 + 0.275637i) q^{4} +(0.0547010 - 1.56643i) q^{5} +(0.821143 - 2.03240i) q^{6} +(2.87167 - 1.27855i) q^{7} +(0.913545 + 0.406737i) q^{8} +(-1.59366 - 0.847362i) q^{9} +(0.272174 - 1.54358i) q^{10} +(-1.49853 + 2.95879i) q^{11} +(1.09601 - 1.89834i) q^{12} +(-2.34165 + 1.46322i) q^{13} +(3.02167 - 0.866449i) q^{14} +(-3.30264 - 0.947017i) q^{15} +(0.848048 + 0.529919i) q^{16} +(-6.27809 + 3.33812i) q^{17} +(-1.46022 - 1.06091i) q^{18} +(2.16967 - 3.78055i) q^{19} +(0.484349 - 1.49067i) q^{20} +(-1.19652 - 6.78578i) q^{21} +(-1.89573 + 2.72144i) q^{22} +(-1.39052 + 0.506108i) q^{23} +(1.34954 - 1.72733i) q^{24} +(2.53710 + 0.177411i) q^{25} +(-2.52250 + 1.12309i) q^{26} +(1.75287 - 1.94675i) q^{27} +(3.11285 - 0.437482i) q^{28} +(1.22673 - 1.18464i) q^{29} +(-3.13870 - 1.39744i) q^{30} +(3.78193 + 4.20026i) q^{31} +(0.766044 + 0.642788i) q^{32} +(5.49839 + 4.75625i) q^{33} +(-6.68156 + 2.43189i) q^{34} +(-1.84568 - 4.56822i) q^{35} +(-1.29836 - 1.25381i) q^{36} +(2.62851 + 1.90972i) q^{37} +(2.67471 - 3.44179i) q^{38} +(1.87037 + 5.75639i) q^{39} +(0.687097 - 1.40876i) q^{40} +(0.410003 - 1.64443i) q^{41} +(-0.240474 - 6.88626i) q^{42} +(-11.8872 - 4.32658i) q^{43} +(-2.25603 + 2.43112i) q^{44} +(-1.41451 + 2.45000i) q^{45} +(-1.44743 + 0.307660i) q^{46} +(3.83207 + 7.85691i) q^{47} +(1.57680 - 1.52270i) q^{48} +(1.92790 - 2.14115i) q^{49} +(2.48772 + 0.528781i) q^{50} +(3.77060 + 15.1231i) q^{51} +(-2.65425 + 0.761095i) q^{52} +(0.0190311 + 0.544981i) q^{53} +(2.00674 - 1.68386i) q^{54} +(4.55277 + 2.50919i) q^{55} +3.14344 q^{56} +(-6.89028 - 6.61949i) q^{57} +(1.37966 - 1.00238i) q^{58} +(-2.51772 + 5.16209i) q^{59} +(-2.91367 - 1.82066i) q^{60} +(-4.73404 - 6.05929i) q^{61} +(3.16056 + 4.68573i) q^{62} +(-5.65986 - 0.395776i) q^{63} +(0.669131 + 0.743145i) q^{64} +(2.16395 + 3.74807i) q^{65} +(4.78294 + 5.47519i) q^{66} +(-0.957384 + 5.42960i) q^{67} +(-6.95499 + 1.47833i) q^{68} +(0.339055 + 3.22589i) q^{69} +(-1.19195 - 4.78063i) q^{70} +(-0.319354 + 9.14512i) q^{71} +(-1.11122 - 1.42230i) q^{72} +(6.81009 - 0.476208i) q^{73} +(2.33715 + 2.25696i) q^{74} +(1.72275 - 5.30209i) q^{75} +(3.12768 - 3.03605i) q^{76} +(-0.520313 + 10.4126i) q^{77} +(1.05103 + 5.96068i) q^{78} +(-2.27548 - 5.63200i) q^{79} +(0.876472 - 1.29942i) q^{80} +(-6.23893 - 9.24959i) q^{81} +(0.634874 - 1.57137i) q^{82} +(10.5529 + 2.24308i) q^{83} +(0.720249 - 6.85271i) q^{84} +(4.88552 + 10.0168i) q^{85} +(-11.1694 - 5.93886i) q^{86} +(-1.86908 - 3.23735i) q^{87} +(-2.57242 + 2.09348i) q^{88} +(-6.95620 - 5.83694i) q^{89} +(-1.74172 + 2.22930i) q^{90} +(-4.85364 + 7.19581i) q^{91} +(-1.47616 + 0.103223i) q^{92} +(10.9391 - 5.81642i) q^{93} +(2.70131 + 8.31376i) q^{94} +(-5.80329 - 3.60545i) q^{95} +(1.77338 - 1.28843i) q^{96} +(16.6004 + 2.33303i) q^{97} +(2.20713 - 1.85200i) q^{98} +(4.89530 - 3.44550i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.990268 + 0.139173i 0.700225 + 0.0984102i
\(3\) 0.530296 2.12690i 0.306167 1.22797i −0.598247 0.801312i \(-0.704136\pi\)
0.904414 0.426656i \(-0.140309\pi\)
\(4\) 0.961262 + 0.275637i 0.480631 + 0.137819i
\(5\) 0.0547010 1.56643i 0.0244630 0.700530i −0.923769 0.382951i \(-0.874908\pi\)
0.948232 0.317579i \(-0.102870\pi\)
\(6\) 0.821143 2.03240i 0.335230 0.829724i
\(7\) 2.87167 1.27855i 1.08539 0.483247i 0.215506 0.976503i \(-0.430860\pi\)
0.869884 + 0.493256i \(0.164193\pi\)
\(8\) 0.913545 + 0.406737i 0.322987 + 0.143803i
\(9\) −1.59366 0.847362i −0.531219 0.282454i
\(10\) 0.272174 1.54358i 0.0860690 0.488121i
\(11\) −1.49853 + 2.95879i −0.451822 + 0.892108i
\(12\) 1.09601 1.89834i 0.316390 0.548004i
\(13\) −2.34165 + 1.46322i −0.649456 + 0.405825i −0.814259 0.580501i \(-0.802857\pi\)
0.164803 + 0.986326i \(0.447301\pi\)
\(14\) 3.02167 0.866449i 0.807574 0.231568i
\(15\) −3.30264 0.947017i −0.852738 0.244519i
\(16\) 0.848048 + 0.529919i 0.212012 + 0.132480i
\(17\) −6.27809 + 3.33812i −1.52266 + 0.809612i −0.999102 0.0423779i \(-0.986507\pi\)
−0.523558 + 0.851990i \(0.675396\pi\)
\(18\) −1.46022 1.06091i −0.344176 0.250059i
\(19\) 2.16967 3.78055i 0.497757 0.867317i
\(20\) 0.484349 1.49067i 0.108304 0.333325i
\(21\) −1.19652 6.78578i −0.261101 1.48078i
\(22\) −1.89573 + 2.72144i −0.404170 + 0.580213i
\(23\) −1.39052 + 0.506108i −0.289944 + 0.105531i −0.482897 0.875677i \(-0.660416\pi\)
0.192954 + 0.981208i \(0.438193\pi\)
\(24\) 1.34954 1.72733i 0.275473 0.352590i
\(25\) 2.53710 + 0.177411i 0.507420 + 0.0354823i
\(26\) −2.52250 + 1.12309i −0.494703 + 0.220256i
\(27\) 1.75287 1.94675i 0.337339 0.374653i
\(28\) 3.11285 0.437482i 0.588273 0.0826763i
\(29\) 1.22673 1.18464i 0.227798 0.219982i −0.571996 0.820256i \(-0.693831\pi\)
0.799794 + 0.600274i \(0.204942\pi\)
\(30\) −3.13870 1.39744i −0.573046 0.255136i
\(31\) 3.78193 + 4.20026i 0.679255 + 0.754389i 0.979931 0.199337i \(-0.0638790\pi\)
−0.300676 + 0.953726i \(0.597212\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 5.49839 + 4.75625i 0.957147 + 0.827957i
\(34\) −6.68156 + 2.43189i −1.14588 + 0.417066i
\(35\) −1.84568 4.56822i −0.311977 0.772170i
\(36\) −1.29836 1.25381i −0.216393 0.208968i
\(37\) 2.62851 + 1.90972i 0.432124 + 0.313957i 0.782498 0.622654i \(-0.213945\pi\)
−0.350374 + 0.936610i \(0.613945\pi\)
\(38\) 2.67471 3.44179i 0.433895 0.558333i
\(39\) 1.87037 + 5.75639i 0.299498 + 0.921761i
\(40\) 0.687097 1.40876i 0.108640 0.222744i
\(41\) 0.410003 1.64443i 0.0640317 0.256817i −0.929746 0.368203i \(-0.879973\pi\)
0.993777 + 0.111385i \(0.0355288\pi\)
\(42\) −0.240474 6.88626i −0.0371059 1.06257i
\(43\) −11.8872 4.32658i −1.81278 0.659798i −0.996637 0.0819482i \(-0.973886\pi\)
−0.816143 0.577850i \(-0.803892\pi\)
\(44\) −2.25603 + 2.43112i −0.340109 + 0.366505i
\(45\) −1.41451 + 2.45000i −0.210863 + 0.365225i
\(46\) −1.44743 + 0.307660i −0.213411 + 0.0453620i
\(47\) 3.83207 + 7.85691i 0.558965 + 1.14605i 0.971923 + 0.235298i \(0.0756065\pi\)
−0.412959 + 0.910750i \(0.635505\pi\)
\(48\) 1.57680 1.52270i 0.227592 0.219783i
\(49\) 1.92790 2.14115i 0.275414 0.305878i
\(50\) 2.48772 + 0.528781i 0.351817 + 0.0747809i
\(51\) 3.77060 + 15.1231i 0.527990 + 2.11765i
\(52\) −2.65425 + 0.761095i −0.368079 + 0.105545i
\(53\) 0.0190311 + 0.544981i 0.00261413 + 0.0748589i 0.999997 + 0.00255442i \(0.000813098\pi\)
−0.997383 + 0.0723044i \(0.976965\pi\)
\(54\) 2.00674 1.68386i 0.273083 0.229144i
\(55\) 4.55277 + 2.50919i 0.613895 + 0.338339i
\(56\) 3.14344 0.420059
\(57\) −6.89028 6.61949i −0.912640 0.876773i
\(58\) 1.37966 1.00238i 0.181158 0.131619i
\(59\) −2.51772 + 5.16209i −0.327779 + 0.672047i −0.997508 0.0705593i \(-0.977522\pi\)
0.669728 + 0.742606i \(0.266411\pi\)
\(60\) −2.91367 1.82066i −0.376153 0.235047i
\(61\) −4.73404 6.05929i −0.606131 0.775812i 0.382857 0.923808i \(-0.374940\pi\)
−0.988988 + 0.147995i \(0.952718\pi\)
\(62\) 3.16056 + 4.68573i 0.401392 + 0.595088i
\(63\) −5.65986 0.395776i −0.713075 0.0498630i
\(64\) 0.669131 + 0.743145i 0.0836413 + 0.0928931i
\(65\) 2.16395 + 3.74807i 0.268405 + 0.464891i
\(66\) 4.78294 + 5.47519i 0.588739 + 0.673949i
\(67\) −0.957384 + 5.42960i −0.116963 + 0.663331i 0.868796 + 0.495169i \(0.164894\pi\)
−0.985760 + 0.168161i \(0.946217\pi\)
\(68\) −6.95499 + 1.47833i −0.843417 + 0.179274i
\(69\) 0.339055 + 3.22589i 0.0408174 + 0.388352i
\(70\) −1.19195 4.78063i −0.142465 0.571395i
\(71\) −0.319354 + 9.14512i −0.0379004 + 1.08533i 0.820275 + 0.571969i \(0.193820\pi\)
−0.858175 + 0.513356i \(0.828402\pi\)
\(72\) −1.11122 1.42230i −0.130959 0.167620i
\(73\) 6.81009 0.476208i 0.797060 0.0557359i 0.334582 0.942367i \(-0.391405\pi\)
0.462478 + 0.886631i \(0.346960\pi\)
\(74\) 2.33715 + 2.25696i 0.271688 + 0.262366i
\(75\) 1.72275 5.30209i 0.198926 0.612232i
\(76\) 3.12768 3.03605i 0.358770 0.348259i
\(77\) −0.520313 + 10.4126i −0.0592952 + 1.18663i
\(78\) 1.05103 + 5.96068i 0.119006 + 0.674914i
\(79\) −2.27548 5.63200i −0.256011 0.633649i 0.743368 0.668882i \(-0.233227\pi\)
−0.999379 + 0.0352331i \(0.988783\pi\)
\(80\) 0.876472 1.29942i 0.0979925 0.145280i
\(81\) −6.23893 9.24959i −0.693214 1.02773i
\(82\) 0.634874 1.57137i 0.0701101 0.173529i
\(83\) 10.5529 + 2.24308i 1.15833 + 0.246210i 0.746712 0.665148i \(-0.231631\pi\)
0.411615 + 0.911358i \(0.364965\pi\)
\(84\) 0.720249 6.85271i 0.0785856 0.747692i
\(85\) 4.88552 + 10.0168i 0.529909 + 1.08647i
\(86\) −11.1694 5.93886i −1.20442 0.640403i
\(87\) −1.86908 3.23735i −0.200387 0.347080i
\(88\) −2.57242 + 2.09348i −0.274221 + 0.223166i
\(89\) −6.95620 5.83694i −0.737356 0.618715i 0.194770 0.980849i \(-0.437604\pi\)
−0.932126 + 0.362134i \(0.882048\pi\)
\(90\) −1.74172 + 2.22930i −0.183593 + 0.234989i
\(91\) −4.85364 + 7.19581i −0.508799 + 0.754326i
\(92\) −1.47616 + 0.103223i −0.153900 + 0.0107617i
\(93\) 10.9391 5.81642i 1.13433 0.603134i
\(94\) 2.70131 + 8.31376i 0.278618 + 0.857499i
\(95\) −5.80329 3.60545i −0.595405 0.369911i
\(96\) 1.77338 1.28843i 0.180995 0.131500i
\(97\) 16.6004 + 2.33303i 1.68551 + 0.236883i 0.915837 0.401551i \(-0.131529\pi\)
0.769676 + 0.638434i \(0.220418\pi\)
\(98\) 2.20713 1.85200i 0.222953 0.187080i
\(99\) 4.89530 3.44550i 0.491996 0.346285i
\(100\) 2.38992 + 0.869859i 0.238992 + 0.0869859i
\(101\) 2.89320 1.80787i 0.287884 0.179890i −0.378288 0.925688i \(-0.623487\pi\)
0.666172 + 0.745798i \(0.267932\pi\)
\(102\) 1.62918 + 15.5007i 0.161313 + 1.53479i
\(103\) 0.642686 6.11475i 0.0633257 0.602504i −0.916135 0.400869i \(-0.868708\pi\)
0.979461 0.201634i \(-0.0646252\pi\)
\(104\) −2.73435 + 0.384287i −0.268125 + 0.0376825i
\(105\) −10.6949 + 1.50307i −1.04372 + 0.146685i
\(106\) −0.0570007 + 0.542326i −0.00553640 + 0.0526753i
\(107\) 1.02051 + 9.70947i 0.0986561 + 0.938650i 0.926145 + 0.377168i \(0.123102\pi\)
−0.827489 + 0.561482i \(0.810231\pi\)
\(108\) 2.22156 1.38819i 0.213770 0.133578i
\(109\) −14.1253 5.14119i −1.35296 0.492436i −0.439088 0.898444i \(-0.644698\pi\)
−0.913870 + 0.406008i \(0.866921\pi\)
\(110\) 4.15925 + 3.11839i 0.396569 + 0.297327i
\(111\) 5.45568 4.57786i 0.517830 0.434511i
\(112\) 3.11285 + 0.437482i 0.294136 + 0.0413382i
\(113\) 8.04520 5.84518i 0.756829 0.549868i −0.141107 0.989994i \(-0.545066\pi\)
0.897936 + 0.440126i \(0.145066\pi\)
\(114\) −5.90197 7.51401i −0.552770 0.703752i
\(115\) 0.716722 + 2.20584i 0.0668347 + 0.205696i
\(116\) 1.50574 0.800616i 0.139804 0.0743353i
\(117\) 4.97166 0.347652i 0.459630 0.0321405i
\(118\) −3.21164 + 4.76145i −0.295656 + 0.438327i
\(119\) −13.7607 + 17.6128i −1.26144 + 1.61457i
\(120\) −2.63193 2.20845i −0.240261 0.201603i
\(121\) −6.50885 8.86763i −0.591713 0.806149i
\(122\) −3.84467 6.65917i −0.348080 0.602893i
\(123\) −3.28012 1.74407i −0.295759 0.157258i
\(124\) 2.47768 + 5.07999i 0.222502 + 0.456197i
\(125\) 1.23587 11.7585i 0.110539 1.05171i
\(126\) −5.54969 1.17962i −0.494406 0.105089i
\(127\) −7.01465 + 17.3619i −0.622450 + 1.54062i 0.204813 + 0.978801i \(0.434342\pi\)
−0.827262 + 0.561816i \(0.810103\pi\)
\(128\) 0.559193 + 0.829038i 0.0494261 + 0.0732773i
\(129\) −15.5060 + 22.9885i −1.36522 + 2.02403i
\(130\) 1.62126 + 4.01276i 0.142194 + 0.351942i
\(131\) 2.30975 + 13.0993i 0.201804 + 1.14449i 0.902390 + 0.430919i \(0.141811\pi\)
−0.700587 + 0.713567i \(0.747078\pi\)
\(132\) 3.97439 + 6.08756i 0.345926 + 0.529854i
\(133\) 1.39697 13.6305i 0.121133 1.18192i
\(134\) −1.70372 + 5.24351i −0.147179 + 0.452971i
\(135\) −2.95358 2.85223i −0.254203 0.245481i
\(136\) −7.09305 + 0.495994i −0.608224 + 0.0425312i
\(137\) −4.58241 5.86522i −0.391502 0.501100i 0.551367 0.834263i \(-0.314106\pi\)
−0.942869 + 0.333163i \(0.891884\pi\)
\(138\) −0.113202 + 3.24168i −0.00963640 + 0.275950i
\(139\) −3.89145 15.6078i −0.330069 1.32383i −0.874499 0.485027i \(-0.838810\pi\)
0.544430 0.838806i \(-0.316746\pi\)
\(140\) −0.515010 4.89999i −0.0435263 0.414125i
\(141\) 18.7430 3.98395i 1.57845 0.335509i
\(142\) −1.58900 + 9.01167i −0.133346 + 0.756243i
\(143\) −0.820350 9.12111i −0.0686011 0.762746i
\(144\) −0.902464 1.56311i −0.0752053 0.130259i
\(145\) −1.78856 1.98639i −0.148531 0.164961i
\(146\) 6.81009 + 0.476208i 0.563607 + 0.0394112i
\(147\) −3.53165 5.23589i −0.291286 0.431849i
\(148\) 2.00029 + 2.56026i 0.164423 + 0.210452i
\(149\) −18.6037 11.6249i −1.52407 0.952347i −0.994573 0.104037i \(-0.966824\pi\)
−0.529500 0.848310i \(-0.677621\pi\)
\(150\) 2.44389 5.01073i 0.199543 0.409124i
\(151\) −5.64590 + 4.10199i −0.459457 + 0.333815i −0.793318 0.608807i \(-0.791648\pi\)
0.333861 + 0.942622i \(0.391648\pi\)
\(152\) 3.51978 2.57121i 0.285492 0.208553i
\(153\) 12.8337 1.03754
\(154\) −1.96440 + 10.2389i −0.158296 + 0.825071i
\(155\) 6.78630 5.69438i 0.545089 0.457384i
\(156\) 0.211234 + 6.04894i 0.0169122 + 0.484303i
\(157\) 19.8888 5.70302i 1.58730 0.455150i 0.638132 0.769927i \(-0.279707\pi\)
0.949166 + 0.314776i \(0.101929\pi\)
\(158\) −1.46951 5.89387i −0.116908 0.468891i
\(159\) 1.16921 + 0.248524i 0.0927246 + 0.0197092i
\(160\) 1.04879 1.16480i 0.0829139 0.0920852i
\(161\) −3.34604 + 3.23123i −0.263705 + 0.254657i
\(162\) −4.89092 10.0279i −0.384267 0.787863i
\(163\) −11.3942 + 2.42191i −0.892461 + 0.189698i −0.631246 0.775582i \(-0.717456\pi\)
−0.261215 + 0.965281i \(0.584123\pi\)
\(164\) 0.847387 1.46772i 0.0661698 0.114610i
\(165\) 7.75111 8.35268i 0.603423 0.650256i
\(166\) 10.1380 + 3.68992i 0.786860 + 0.286394i
\(167\) −0.178758 5.11897i −0.0138327 0.396118i −0.986485 0.163852i \(-0.947608\pi\)
0.972652 0.232266i \(-0.0746140\pi\)
\(168\) 1.66695 6.68578i 0.128608 0.515819i
\(169\) −2.35654 + 4.83162i −0.181272 + 0.371663i
\(170\) 3.44390 + 10.5992i 0.264135 + 0.812925i
\(171\) −6.66120 + 4.18639i −0.509395 + 0.320141i
\(172\) −10.2341 7.43553i −0.780345 0.566954i
\(173\) −7.15161 6.90623i −0.543727 0.525071i 0.371274 0.928523i \(-0.378921\pi\)
−0.915001 + 0.403452i \(0.867810\pi\)
\(174\) −1.40034 3.46597i −0.106160 0.262754i
\(175\) 7.51255 2.73435i 0.567896 0.206697i
\(176\) −2.83874 + 1.71510i −0.213978 + 0.129280i
\(177\) 9.64412 + 8.09238i 0.724897 + 0.608261i
\(178\) −6.07616 6.74825i −0.455427 0.505803i
\(179\) 2.11434 + 0.941364i 0.158033 + 0.0703609i 0.484229 0.874941i \(-0.339100\pi\)
−0.326196 + 0.945302i \(0.605767\pi\)
\(180\) −2.03503 + 1.96520i −0.151682 + 0.146478i
\(181\) −4.29641 + 0.603822i −0.319350 + 0.0448817i −0.297027 0.954869i \(-0.595995\pi\)
−0.0223230 + 0.999751i \(0.507106\pi\)
\(182\) −5.80787 + 6.45029i −0.430508 + 0.478127i
\(183\) −15.3980 + 6.85561i −1.13825 + 0.506781i
\(184\) −1.47616 0.103223i −0.108824 0.00760970i
\(185\) 3.13523 4.01292i 0.230507 0.295036i
\(186\) 11.6421 4.23738i 0.853641 0.310700i
\(187\) −0.468911 23.5778i −0.0342901 1.72418i
\(188\) 1.51796 + 8.60880i 0.110709 + 0.627861i
\(189\) 2.54463 7.83157i 0.185095 0.569663i
\(190\) −5.24503 4.37802i −0.380514 0.317615i
\(191\) −17.1919 12.4907i −1.24396 0.903792i −0.246107 0.969243i \(-0.579152\pi\)
−0.997856 + 0.0654503i \(0.979152\pi\)
\(192\) 1.93543 1.02909i 0.139678 0.0742681i
\(193\) 15.8074 + 9.87757i 1.13784 + 0.711003i 0.961901 0.273397i \(-0.0881474\pi\)
0.175942 + 0.984401i \(0.443703\pi\)
\(194\) 16.1141 + 4.62065i 1.15693 + 0.331743i
\(195\) 9.11932 2.61492i 0.653048 0.187258i
\(196\) 2.44339 1.52680i 0.174528 0.109057i
\(197\) −6.44641 + 11.1655i −0.459287 + 0.795509i −0.998923 0.0463893i \(-0.985229\pi\)
0.539636 + 0.841898i \(0.318562\pi\)
\(198\) 5.32718 2.73067i 0.378586 0.194060i
\(199\) 1.23750 7.01824i 0.0877244 0.497510i −0.909011 0.416772i \(-0.863161\pi\)
0.996735 0.0807377i \(-0.0257276\pi\)
\(200\) 2.24560 + 1.19401i 0.158788 + 0.0844289i
\(201\) 11.0405 + 4.91556i 0.778738 + 0.346717i
\(202\) 3.11665 1.38762i 0.219287 0.0976328i
\(203\) 2.00815 4.97034i 0.140944 0.348849i
\(204\) −0.543945 + 15.5765i −0.0380838 + 1.09058i
\(205\) −2.55347 0.732194i −0.178342 0.0511387i
\(206\) 1.48744 5.96579i 0.103635 0.415656i
\(207\) 2.64487 + 0.371712i 0.183831 + 0.0258358i
\(208\) −2.76122 −0.191456
\(209\) 7.93452 + 12.0848i 0.548842 + 0.835926i
\(210\) −10.8000 −0.745272
\(211\) 17.9135 + 2.51758i 1.23322 + 0.173317i 0.725509 0.688213i \(-0.241604\pi\)
0.507707 + 0.861530i \(0.330493\pi\)
\(212\) −0.131923 + 0.529115i −0.00906052 + 0.0363398i
\(213\) 19.2814 + 5.52886i 1.32114 + 0.378831i
\(214\) −0.340722 + 9.75700i −0.0232913 + 0.666975i
\(215\) −7.42754 + 18.3838i −0.506554 + 1.25377i
\(216\) 2.39314 1.06549i 0.162832 0.0724977i
\(217\) 16.2307 + 7.22638i 1.10181 + 0.490559i
\(218\) −13.2723 7.05701i −0.898914 0.477961i
\(219\) 2.59852 14.7369i 0.175591 0.995829i
\(220\) 3.68478 + 3.66690i 0.248428 + 0.247222i
\(221\) 9.81665 17.0029i 0.660339 1.14374i
\(222\) 6.03970 3.77403i 0.405358 0.253296i
\(223\) −4.33983 + 1.24443i −0.290616 + 0.0833329i −0.417778 0.908549i \(-0.637191\pi\)
0.127162 + 0.991882i \(0.459413\pi\)
\(224\) 3.02167 + 0.866449i 0.201894 + 0.0578920i
\(225\) −3.89294 2.43258i −0.259529 0.162172i
\(226\) 8.78040 4.66862i 0.584063 0.310552i
\(227\) 12.3653 + 8.98391i 0.820713 + 0.596283i 0.916917 0.399078i \(-0.130670\pi\)
−0.0962033 + 0.995362i \(0.530670\pi\)
\(228\) −4.79878 8.26228i −0.317807 0.547183i
\(229\) 1.29890 3.99760i 0.0858336 0.264169i −0.898923 0.438107i \(-0.855649\pi\)
0.984757 + 0.173938i \(0.0556492\pi\)
\(230\) 0.402753 + 2.28412i 0.0265567 + 0.150611i
\(231\) 21.8707 + 6.62842i 1.43899 + 0.436118i
\(232\) 1.60251 0.583266i 0.105210 0.0382933i
\(233\) 0.519732 0.665227i 0.0340488 0.0435805i −0.770685 0.637216i \(-0.780086\pi\)
0.804734 + 0.593636i \(0.202308\pi\)
\(234\) 4.97166 + 0.347652i 0.325008 + 0.0227267i
\(235\) 12.5169 5.57290i 0.816515 0.363536i
\(236\) −3.84305 + 4.26814i −0.250161 + 0.277832i
\(237\) −13.1854 + 1.85309i −0.856483 + 0.120371i
\(238\) −16.0780 + 15.5263i −1.04218 + 1.00642i
\(239\) −24.0154 10.6923i −1.55343 0.691630i −0.562596 0.826732i \(-0.690197\pi\)
−0.990832 + 0.135102i \(0.956864\pi\)
\(240\) −2.29896 2.55325i −0.148397 0.164812i
\(241\) 3.57373 + 2.99871i 0.230204 + 0.193164i 0.750592 0.660766i \(-0.229768\pi\)
−0.520388 + 0.853930i \(0.674213\pi\)
\(242\) −5.21137 9.68719i −0.334999 0.622716i
\(243\) −15.5965 + 5.67668i −1.00052 + 0.364159i
\(244\) −2.88048 7.12944i −0.184404 0.456416i
\(245\) −3.24851 3.13705i −0.207539 0.200418i
\(246\) −3.00547 2.18360i −0.191622 0.139222i
\(247\) 0.451175 + 12.0274i 0.0287076 + 0.765286i
\(248\) 1.74657 + 5.37538i 0.110907 + 0.341337i
\(249\) 10.3670 21.2554i 0.656979 1.34701i
\(250\) 2.86031 11.4721i 0.180902 0.725557i
\(251\) −0.664129 19.0182i −0.0419194 1.20042i −0.820042 0.572303i \(-0.806050\pi\)
0.778123 0.628112i \(-0.216172\pi\)
\(252\) −5.33151 1.94051i −0.335854 0.122241i
\(253\) 0.586264 4.87267i 0.0368581 0.306342i
\(254\) −9.36269 + 16.2167i −0.587468 + 1.01752i
\(255\) 23.8955 5.07915i 1.49640 0.318069i
\(256\) 0.438371 + 0.898794i 0.0273982 + 0.0561746i
\(257\) −4.29362 + 4.14630i −0.267829 + 0.258639i −0.816429 0.577445i \(-0.804050\pi\)
0.548601 + 0.836085i \(0.315161\pi\)
\(258\) −18.5544 + 20.6068i −1.15515 + 1.28292i
\(259\) 9.98989 + 2.12342i 0.620742 + 0.131943i
\(260\) 1.04701 + 4.19934i 0.0649330 + 0.260432i
\(261\) −2.95881 + 0.848424i −0.183145 + 0.0525161i
\(262\) 0.464210 + 13.2932i 0.0286790 + 0.821258i
\(263\) −5.84983 + 4.90859i −0.360716 + 0.302677i −0.805076 0.593172i \(-0.797876\pi\)
0.444360 + 0.895848i \(0.353431\pi\)
\(264\) 3.08849 + 6.58145i 0.190083 + 0.405060i
\(265\) 0.854717 0.0525048
\(266\) 3.28038 13.3035i 0.201133 0.815687i
\(267\) −16.1035 + 11.6998i −0.985515 + 0.716019i
\(268\) −2.41690 + 4.95537i −0.147635 + 0.302697i
\(269\) −20.1363 12.5825i −1.22773 0.767171i −0.248247 0.968697i \(-0.579854\pi\)
−0.979483 + 0.201526i \(0.935410\pi\)
\(270\) −2.52788 3.23554i −0.153842 0.196908i
\(271\) −2.74502 4.06965i −0.166748 0.247214i 0.736397 0.676550i \(-0.236526\pi\)
−0.903145 + 0.429336i \(0.858748\pi\)
\(272\) −7.09305 0.495994i −0.430079 0.0300741i
\(273\) 12.7309 + 14.1391i 0.770511 + 0.855739i
\(274\) −3.72154 6.44589i −0.224826 0.389411i
\(275\) −4.32683 + 7.24089i −0.260918 + 0.436642i
\(276\) −0.563256 + 3.19438i −0.0339040 + 0.192279i
\(277\) 8.46976 1.80030i 0.508898 0.108170i 0.0536953 0.998557i \(-0.482900\pi\)
0.455203 + 0.890388i \(0.349567\pi\)
\(278\) −1.68140 15.9975i −0.100844 0.959464i
\(279\) −2.46796 9.89844i −0.147753 0.592604i
\(280\) 0.171949 4.92398i 0.0102759 0.294264i
\(281\) 3.30034 + 4.22424i 0.196882 + 0.251997i 0.876313 0.481742i \(-0.159996\pi\)
−0.679431 + 0.733739i \(0.737773\pi\)
\(282\) 19.1151 1.33665i 1.13828 0.0795966i
\(283\) −20.7776 20.0647i −1.23510 1.19272i −0.973786 0.227466i \(-0.926956\pi\)
−0.261312 0.965254i \(-0.584155\pi\)
\(284\) −2.82772 + 8.70282i −0.167794 + 0.516418i
\(285\) −10.7459 + 10.4311i −0.636532 + 0.617883i
\(286\) 0.457047 9.14651i 0.0270257 0.540845i
\(287\) −0.925096 5.24648i −0.0546067 0.309690i
\(288\) −0.676138 1.67350i −0.0398418 0.0986119i
\(289\) 18.7650 27.8203i 1.10383 1.63649i
\(290\) −1.49470 2.21598i −0.0877716 0.130127i
\(291\) 13.7652 34.0702i 0.806933 1.99723i
\(292\) 6.67754 + 1.41935i 0.390773 + 0.0830614i
\(293\) 1.68052 15.9890i 0.0981768 0.934090i −0.828945 0.559330i \(-0.811059\pi\)
0.927122 0.374760i \(-0.122275\pi\)
\(294\) −2.76859 5.67645i −0.161467 0.331057i
\(295\) 7.94834 + 4.22621i 0.462770 + 0.246059i
\(296\) 1.62451 + 2.81373i 0.0944226 + 0.163545i
\(297\) 3.13332 + 8.10362i 0.181814 + 0.470219i
\(298\) −16.8048 14.1009i −0.973474 0.816842i
\(299\) 2.51556 3.21977i 0.145479 0.186204i
\(300\) 3.11747 4.62184i 0.179987 0.266842i
\(301\) −39.6679 + 2.77385i −2.28642 + 0.159882i
\(302\) −6.16184 + 3.27631i −0.354574 + 0.188530i
\(303\) −2.31091 7.11226i −0.132759 0.408589i
\(304\) 3.84337 2.05633i 0.220432 0.117939i
\(305\) −9.75042 + 7.08410i −0.558308 + 0.405634i
\(306\) 12.7088 + 1.78611i 0.726514 + 0.102105i
\(307\) 21.6889 18.1991i 1.23785 1.03868i 0.240161 0.970733i \(-0.422800\pi\)
0.997689 0.0679464i \(-0.0216447\pi\)
\(308\) −3.37026 + 9.86583i −0.192038 + 0.562158i
\(309\) −12.6647 4.60956i −0.720467 0.262228i
\(310\) 7.51276 4.69449i 0.426696 0.266629i
\(311\) 1.02419 + 9.74448i 0.0580763 + 0.552559i 0.984414 + 0.175865i \(0.0562723\pi\)
−0.926338 + 0.376693i \(0.877061\pi\)
\(312\) −0.632672 + 6.01947i −0.0358180 + 0.340786i
\(313\) −12.7533 + 1.79236i −0.720857 + 0.101310i −0.490056 0.871691i \(-0.663024\pi\)
−0.230801 + 0.973001i \(0.574135\pi\)
\(314\) 20.4889 2.87953i 1.15626 0.162501i
\(315\) −0.929556 + 8.84413i −0.0523745 + 0.498310i
\(316\) −0.634938 6.04103i −0.0357180 0.339835i
\(317\) −18.7718 + 11.7299i −1.05433 + 0.658818i −0.942260 0.334883i \(-0.891303\pi\)
−0.112069 + 0.993700i \(0.535748\pi\)
\(318\) 1.12325 + 0.408828i 0.0629885 + 0.0229260i
\(319\) 1.66681 + 5.40485i 0.0933235 + 0.302613i
\(320\) 1.20069 1.00750i 0.0671205 0.0563208i
\(321\) 21.1923 + 2.97838i 1.18284 + 0.166237i
\(322\) −3.76317 + 2.73411i −0.209714 + 0.152366i
\(323\) −1.00149 + 30.9772i −0.0557242 + 1.72362i
\(324\) −3.44771 10.6110i −0.191539 0.589498i
\(325\) −6.20059 + 3.29691i −0.343947 + 0.182880i
\(326\) −11.6204 + 0.812574i −0.643592 + 0.0450043i
\(327\) −18.4254 + 27.3168i −1.01893 + 1.51062i
\(328\) 1.04341 1.33550i 0.0576125 0.0737407i
\(329\) 21.0499 + 17.6630i 1.16052 + 0.973791i
\(330\) 8.83815 7.19265i 0.486524 0.395942i
\(331\) −9.08835 15.7415i −0.499541 0.865230i 0.500459 0.865760i \(-0.333165\pi\)
−1.00000 0.000530140i \(0.999831\pi\)
\(332\) 9.52578 + 5.06495i 0.522795 + 0.277975i
\(333\) −2.57071 5.27074i −0.140874 0.288835i
\(334\) 0.535404 5.09403i 0.0292960 0.278733i
\(335\) 8.45273 + 1.79668i 0.461822 + 0.0981632i
\(336\) 2.58121 6.38872i 0.140817 0.348533i
\(337\) −10.1079 14.9856i −0.550613 0.816317i 0.446296 0.894886i \(-0.352743\pi\)
−0.996909 + 0.0785681i \(0.974965\pi\)
\(338\) −3.00604 + 4.45663i −0.163507 + 0.242409i
\(339\) −8.16579 20.2110i −0.443505 1.09771i
\(340\) 1.93526 + 10.9754i 0.104954 + 0.595224i
\(341\) −18.0950 + 4.89573i −0.979899 + 0.265119i
\(342\) −7.17901 + 3.21859i −0.388196 + 0.174041i
\(343\) −4.00090 + 12.3135i −0.216028 + 0.664867i
\(344\) −9.09971 8.78749i −0.490623 0.473790i
\(345\) 5.07169 0.354647i 0.273050 0.0190935i
\(346\) −6.12085 7.83433i −0.329059 0.421176i
\(347\) 0.221462 6.34183i 0.0118887 0.340448i −0.978843 0.204613i \(-0.934406\pi\)
0.990732 0.135834i \(-0.0433715\pi\)
\(348\) −0.904344 3.62713i −0.0484779 0.194434i
\(349\) 2.04364 + 19.4440i 0.109394 + 1.04081i 0.902194 + 0.431330i \(0.141956\pi\)
−0.792801 + 0.609481i \(0.791378\pi\)
\(350\) 7.81999 1.66219i 0.417996 0.0888478i
\(351\) −1.25606 + 7.12344i −0.0670433 + 0.380221i
\(352\) −3.04981 + 1.30333i −0.162555 + 0.0694677i
\(353\) −2.84689 4.93095i −0.151524 0.262448i 0.780264 0.625451i \(-0.215085\pi\)
−0.931788 + 0.363003i \(0.881752\pi\)
\(354\) 8.42403 + 9.35583i 0.447732 + 0.497257i
\(355\) 14.3077 + 1.00049i 0.759376 + 0.0531007i
\(356\) −5.07785 7.52822i −0.269125 0.398995i
\(357\) 30.1636 + 38.6076i 1.59642 + 2.04333i
\(358\) 1.96275 + 1.22646i 0.103735 + 0.0648205i
\(359\) −13.6100 + 27.9045i −0.718306 + 1.47275i 0.156198 + 0.987726i \(0.450076\pi\)
−0.874503 + 0.485019i \(0.838813\pi\)
\(360\) −2.28873 + 1.66286i −0.120626 + 0.0876402i
\(361\) −9.58504 16.4051i −0.504476 0.863426i
\(362\) −4.33864 −0.228034
\(363\) −22.3122 + 9.14120i −1.17109 + 0.479789i
\(364\) −6.64905 + 5.57922i −0.348505 + 0.292430i
\(365\) −0.373428 10.6936i −0.0195461 0.559728i
\(366\) −16.2022 + 4.64591i −0.846904 + 0.242846i
\(367\) 3.03430 + 12.1699i 0.158389 + 0.635265i 0.996028 + 0.0890404i \(0.0283800\pi\)
−0.837639 + 0.546225i \(0.816064\pi\)
\(368\) −1.44743 0.307660i −0.0754523 0.0160379i
\(369\) −2.04683 + 2.27324i −0.106554 + 0.118340i
\(370\) 3.66321 3.53752i 0.190441 0.183907i
\(371\) 0.751437 + 1.54067i 0.0390127 + 0.0799878i
\(372\) 12.1185 2.57588i 0.628317 0.133553i
\(373\) 5.68720 9.85052i 0.294472 0.510040i −0.680390 0.732850i \(-0.738190\pi\)
0.974862 + 0.222810i \(0.0715229\pi\)
\(374\) 2.81704 23.4136i 0.145666 1.21069i
\(375\) −24.3538 8.86406i −1.25762 0.457738i
\(376\) 0.305078 + 8.73628i 0.0157332 + 0.450539i
\(377\) −1.13918 + 4.56899i −0.0586706 + 0.235315i
\(378\) 3.60981 7.40121i 0.185669 0.380677i
\(379\) 10.3462 + 31.8422i 0.531447 + 1.63563i 0.751204 + 0.660071i \(0.229474\pi\)
−0.219757 + 0.975555i \(0.570526\pi\)
\(380\) −4.58468 5.06538i −0.235189 0.259848i
\(381\) 33.2072 + 24.1264i 1.70125 + 1.23603i
\(382\) −15.2862 14.7618i −0.782112 0.755277i
\(383\) 7.81820 + 19.3507i 0.399491 + 0.988776i 0.984125 + 0.177478i \(0.0567939\pi\)
−0.584633 + 0.811298i \(0.698762\pi\)
\(384\) 2.05982 0.749713i 0.105115 0.0382586i
\(385\) 16.2822 + 1.38462i 0.829817 + 0.0705665i
\(386\) 14.2789 + 11.9814i 0.726776 + 0.609838i
\(387\) 15.2779 + 16.9678i 0.776620 + 0.862524i
\(388\) 15.3142 + 6.81834i 0.777462 + 0.346149i
\(389\) 7.27704 7.02736i 0.368961 0.356301i −0.486945 0.873432i \(-0.661889\pi\)
0.855906 + 0.517131i \(0.173000\pi\)
\(390\) 9.39449 1.32031i 0.475709 0.0668565i
\(391\) 7.04036 7.81912i 0.356046 0.395430i
\(392\) 2.63211 1.17189i 0.132941 0.0591893i
\(393\) 29.0857 + 2.03387i 1.46718 + 0.102595i
\(394\) −7.93761 + 10.1597i −0.399891 + 0.511837i
\(395\) −8.94662 + 3.25630i −0.450153 + 0.163842i
\(396\) 5.65537 1.96270i 0.284193 0.0986292i
\(397\) −2.11483 11.9938i −0.106140 0.601950i −0.990759 0.135635i \(-0.956692\pi\)
0.884619 0.466315i \(-0.154419\pi\)
\(398\) 2.20221 6.77771i 0.110387 0.339736i
\(399\) −28.2500 10.1994i −1.41427 0.510610i
\(400\) 2.05757 + 1.49491i 0.102879 + 0.0747456i
\(401\) −8.20989 + 4.36528i −0.409982 + 0.217992i −0.661635 0.749826i \(-0.730137\pi\)
0.251652 + 0.967818i \(0.419026\pi\)
\(402\) 10.2490 + 6.40426i 0.511172 + 0.319416i
\(403\) −15.0019 4.30171i −0.747296 0.214284i
\(404\) 3.27944 0.940364i 0.163158 0.0467849i
\(405\) −14.8301 + 9.26690i −0.736915 + 0.460476i
\(406\) 2.68034 4.64249i 0.133023 0.230403i
\(407\) −9.58935 + 4.91543i −0.475326 + 0.243649i
\(408\) −2.70649 + 15.3492i −0.133991 + 0.759901i
\(409\) 4.01572 + 2.13520i 0.198565 + 0.105579i 0.565776 0.824559i \(-0.308577\pi\)
−0.367212 + 0.930137i \(0.619688\pi\)
\(410\) −2.42671 1.08044i −0.119847 0.0533592i
\(411\) −14.9048 + 6.63604i −0.735199 + 0.327332i
\(412\) 2.30324 5.70072i 0.113473 0.280854i
\(413\) −0.630071 + 18.0429i −0.0310038 + 0.887831i
\(414\) 2.56740 + 0.736190i 0.126181 + 0.0361817i
\(415\) 4.09089 16.4076i 0.200814 0.805420i
\(416\) −2.73435 0.384287i −0.134062 0.0188412i
\(417\) −35.2598 −1.72668
\(418\) 6.17542 + 13.0715i 0.302050 + 0.639348i
\(419\) 17.5666 0.858184 0.429092 0.903261i \(-0.358834\pi\)
0.429092 + 0.903261i \(0.358834\pi\)
\(420\) −10.6949 1.50307i −0.521858 0.0733424i
\(421\) 1.67852 6.73219i 0.0818063 0.328107i −0.915423 0.402493i \(-0.868144\pi\)
0.997230 + 0.0743854i \(0.0236995\pi\)
\(422\) 17.3888 + 4.98615i 0.846473 + 0.242722i
\(423\) 0.550643 15.7684i 0.0267732 0.766684i
\(424\) −0.204278 + 0.505605i −0.00992061 + 0.0245544i
\(425\) −16.5204 + 7.35534i −0.801355 + 0.356786i
\(426\) 18.3243 + 8.15851i 0.887815 + 0.395281i
\(427\) −21.3417 11.3476i −1.03280 0.549148i
\(428\) −1.69532 + 9.61463i −0.0819463 + 0.464741i
\(429\) −19.8347 3.09209i −0.957630 0.149287i
\(430\) −9.91379 + 17.1712i −0.478086 + 0.828068i
\(431\) 16.8051 10.5010i 0.809474 0.505816i −0.0609367 0.998142i \(-0.519409\pi\)
0.870411 + 0.492326i \(0.163853\pi\)
\(432\) 2.51814 0.722064i 0.121154 0.0347403i
\(433\) 11.4735 + 3.28998i 0.551382 + 0.158106i 0.539749 0.841826i \(-0.318519\pi\)
0.0116332 + 0.999932i \(0.496297\pi\)
\(434\) 15.0670 + 9.41493i 0.723241 + 0.451931i
\(435\) −5.17333 + 2.75071i −0.248042 + 0.131886i
\(436\) −12.1610 8.83548i −0.582406 0.423143i
\(437\) −1.10361 + 6.35502i −0.0527929 + 0.304002i
\(438\) 4.62421 14.2319i 0.220953 0.680025i
\(439\) 2.79408 + 15.8460i 0.133354 + 0.756289i 0.975992 + 0.217808i \(0.0698906\pi\)
−0.842638 + 0.538481i \(0.818998\pi\)
\(440\) 3.13858 + 4.14404i 0.149626 + 0.197559i
\(441\) −4.88673 + 1.77863i −0.232702 + 0.0846965i
\(442\) 12.0875 15.4712i 0.574942 0.735892i
\(443\) 34.6708 + 2.42442i 1.64726 + 0.115188i 0.862986 0.505227i \(-0.168591\pi\)
0.784274 + 0.620415i \(0.213036\pi\)
\(444\) 6.50617 2.89673i 0.308769 0.137473i
\(445\) −9.52369 + 10.5771i −0.451466 + 0.501404i
\(446\) −4.47078 + 0.628328i −0.211698 + 0.0297522i
\(447\) −34.5904 + 33.4036i −1.63607 + 1.57994i
\(448\) 2.87167 + 1.27855i 0.135674 + 0.0604059i
\(449\) 10.0974 + 11.2142i 0.476524 + 0.529233i 0.932699 0.360657i \(-0.117448\pi\)
−0.456175 + 0.889890i \(0.650781\pi\)
\(450\) −3.51650 2.95069i −0.165769 0.139097i
\(451\) 4.25113 + 3.67734i 0.200178 + 0.173159i
\(452\) 9.34469 3.40119i 0.439537 0.159979i
\(453\) 5.73052 + 14.1835i 0.269244 + 0.666401i
\(454\) 10.9946 + 10.6174i 0.516004 + 0.498299i
\(455\) 11.0063 + 7.99651i 0.515981 + 0.374882i
\(456\) −3.60220 8.84974i −0.168688 0.414427i
\(457\) 7.35842 + 22.6469i 0.344212 + 1.05938i 0.962004 + 0.273035i \(0.0880275\pi\)
−0.617792 + 0.786342i \(0.711972\pi\)
\(458\) 1.84261 3.77792i 0.0860997 0.176531i
\(459\) −4.50614 + 18.0732i −0.210329 + 0.843583i
\(460\) 0.0809445 + 2.31795i 0.00377406 + 0.108075i
\(461\) −3.57793 1.30226i −0.166641 0.0606523i 0.257353 0.966318i \(-0.417150\pi\)
−0.423993 + 0.905665i \(0.639372\pi\)
\(462\) 20.7353 + 9.60773i 0.964695 + 0.446992i
\(463\) 2.85805 4.95030i 0.132825 0.230060i −0.791939 0.610600i \(-0.790928\pi\)
0.924765 + 0.380540i \(0.124262\pi\)
\(464\) 1.66809 0.354563i 0.0774391 0.0164602i
\(465\) −8.51264 17.4535i −0.394764 0.809387i
\(466\) 0.607256 0.586420i 0.0281306 0.0271654i
\(467\) −5.86550 + 6.51430i −0.271423 + 0.301446i −0.863411 0.504501i \(-0.831677\pi\)
0.591988 + 0.805947i \(0.298343\pi\)
\(468\) 4.87489 + 1.03619i 0.225342 + 0.0478979i
\(469\) 4.19272 + 16.8161i 0.193602 + 0.776495i
\(470\) 13.1707 3.77664i 0.607520 0.174203i
\(471\) −1.58281 45.3258i −0.0729321 2.08850i
\(472\) −4.39966 + 3.69175i −0.202511 + 0.169927i
\(473\) 30.6147 28.6882i 1.40767 1.31908i
\(474\) −13.3150 −0.611577
\(475\) 6.17539 9.20670i 0.283346 0.422432i
\(476\) −18.0823 + 13.1376i −0.828803 + 0.602161i
\(477\) 0.431467 0.884638i 0.0197555 0.0405048i
\(478\) −22.2936 13.9306i −1.01969 0.637170i
\(479\) −2.50593 3.20744i −0.114499 0.146552i 0.727347 0.686270i \(-0.240753\pi\)
−0.841846 + 0.539718i \(0.818531\pi\)
\(480\) −1.92124 2.84835i −0.0876922 0.130009i
\(481\) −8.94939 0.625802i −0.408057 0.0285341i
\(482\) 3.12161 + 3.46690i 0.142185 + 0.157913i
\(483\) 5.09812 + 8.83020i 0.231973 + 0.401788i
\(484\) −3.81245 10.3182i −0.173293 0.469009i
\(485\) 4.56259 25.8758i 0.207177 1.17496i
\(486\) −16.2348 + 3.45081i −0.736426 + 0.156532i
\(487\) 1.92380 + 18.3038i 0.0871758 + 0.829422i 0.947517 + 0.319704i \(0.103584\pi\)
−0.860342 + 0.509718i \(0.829750\pi\)
\(488\) −1.86022 7.46094i −0.0842083 0.337741i
\(489\) −0.891130 + 25.5186i −0.0402983 + 1.15399i
\(490\) −2.78030 3.55862i −0.125601 0.160762i
\(491\) −17.7812 + 1.24338i −0.802453 + 0.0561130i −0.465092 0.885262i \(-0.653979\pi\)
−0.337361 + 0.941375i \(0.609534\pi\)
\(492\) −2.67233 2.58064i −0.120478 0.116344i
\(493\) −3.74705 + 11.5322i −0.168759 + 0.519386i
\(494\) −1.22711 + 11.9732i −0.0552102 + 0.538698i
\(495\) −5.12936 7.85663i −0.230548 0.353129i
\(496\) 0.981461 + 5.56614i 0.0440689 + 0.249927i
\(497\) 10.7754 + 26.6701i 0.483344 + 1.19632i
\(498\) 13.2242 19.6057i 0.592593 0.878555i
\(499\) 2.95413 + 4.37968i 0.132245 + 0.196061i 0.889344 0.457239i \(-0.151162\pi\)
−0.757099 + 0.653300i \(0.773384\pi\)
\(500\) 4.42907 10.9623i 0.198074 0.490251i
\(501\) −10.9823 2.33437i −0.490655 0.104292i
\(502\) 1.98915 18.9255i 0.0887801 0.844686i
\(503\) −13.1486 26.9585i −0.586265 1.20202i −0.961427 0.275062i \(-0.911302\pi\)
0.375161 0.926959i \(-0.377587\pi\)
\(504\) −5.00956 2.66363i −0.223143 0.118648i
\(505\) −2.67365 4.63090i −0.118976 0.206072i
\(506\) 1.25870 4.74366i 0.0559562 0.210881i
\(507\) 9.02672 + 7.57432i 0.400891 + 0.336387i
\(508\) −11.5285 + 14.7558i −0.511494 + 0.654683i
\(509\) 8.33453 12.3565i 0.369422 0.547690i −0.597793 0.801651i \(-0.703956\pi\)
0.967215 + 0.253960i \(0.0817333\pi\)
\(510\) 24.3698 1.70411i 1.07912 0.0754591i
\(511\) 18.9475 10.0746i 0.838188 0.445672i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −3.55665 10.8506i −0.157030 0.479066i
\(514\) −4.82889 + 3.50839i −0.212993 + 0.154749i
\(515\) −9.54318 1.34121i −0.420523 0.0591006i
\(516\) −21.2418 + 17.8240i −0.935117 + 0.784656i
\(517\) −28.9894 0.435493i −1.27495 0.0191530i
\(518\) 9.59715 + 3.49308i 0.421675 + 0.153477i
\(519\) −18.4814 + 11.5484i −0.811241 + 0.506920i
\(520\) 0.452389 + 4.30419i 0.0198386 + 0.188751i
\(521\) 0.768166 7.30861i 0.0336540 0.320196i −0.964724 0.263263i \(-0.915201\pi\)
0.998378 0.0569328i \(-0.0181321\pi\)
\(522\) −3.04809 + 0.428381i −0.133411 + 0.0187497i
\(523\) 33.1019 4.65217i 1.44745 0.203425i 0.628729 0.777624i \(-0.283575\pi\)
0.818716 + 0.574199i \(0.194686\pi\)
\(524\) −1.39037 + 13.2285i −0.0607385 + 0.577888i
\(525\) −1.83181 17.4285i −0.0799466 0.760641i
\(526\) −6.47604 + 4.04668i −0.282369 + 0.176444i
\(527\) −37.7642 13.7451i −1.64504 0.598744i
\(528\) 2.14247 + 6.94723i 0.0932390 + 0.302339i
\(529\) −15.9416 + 13.3766i −0.693114 + 0.581592i
\(530\) 0.846399 + 0.118954i 0.0367652 + 0.00516701i
\(531\) 8.38654 6.09318i 0.363945 0.264421i
\(532\) 5.09994 12.7174i 0.221110 0.551371i
\(533\) 1.44609 + 4.45061i 0.0626371 + 0.192777i
\(534\) −17.5750 + 9.34481i −0.760546 + 0.404390i
\(535\) 15.2651 1.06744i 0.659966 0.0461493i
\(536\) −3.08303 + 4.57078i −0.133167 + 0.197428i
\(537\) 3.12342 3.99779i 0.134785 0.172517i
\(538\) −18.1892 15.2625i −0.784190 0.658014i
\(539\) 3.44620 + 8.91280i 0.148438 + 0.383902i
\(540\) −2.05298 3.55586i −0.0883461 0.153020i
\(541\) −36.0099 19.1468i −1.54819 0.823186i −0.548274 0.836299i \(-0.684715\pi\)
−0.999914 + 0.0131122i \(0.995826\pi\)
\(542\) −2.15192 4.41208i −0.0924327 0.189515i
\(543\) −0.994103 + 9.45826i −0.0426610 + 0.405893i
\(544\) −6.95499 1.47833i −0.298193 0.0633828i
\(545\) −8.82599 + 21.8451i −0.378064 + 0.935741i
\(546\) 10.6392 + 15.7733i 0.455318 + 0.675036i
\(547\) 17.6792 26.2104i 0.755907 1.12068i −0.233049 0.972465i \(-0.574870\pi\)
0.988956 0.148213i \(-0.0473520\pi\)
\(548\) −2.78822 6.90110i −0.119107 0.294800i
\(549\) 2.41001 + 13.6679i 0.102857 + 0.583330i
\(550\) −5.29246 + 6.56824i −0.225671 + 0.280071i
\(551\) −1.81698 7.20799i −0.0774060 0.307071i
\(552\) −1.00235 + 3.08490i −0.0426627 + 0.131302i
\(553\) −13.7352 13.2639i −0.584081 0.564040i
\(554\) 8.63788 0.604020i 0.366988 0.0256623i
\(555\) −6.87248 8.79637i −0.291721 0.373385i
\(556\) 0.561379 16.0758i 0.0238078 0.681765i
\(557\) −2.66554 10.6909i −0.112942 0.452987i 0.887019 0.461732i \(-0.152772\pi\)
−0.999962 + 0.00874511i \(0.997216\pi\)
\(558\) −1.06634 10.1456i −0.0451419 0.429497i
\(559\) 34.1664 7.26228i 1.44508 0.307162i
\(560\) 0.855562 4.85213i 0.0361541 0.205040i
\(561\) −50.3963 11.5059i −2.12773 0.485779i
\(562\) 2.68032 + 4.64245i 0.113063 + 0.195830i
\(563\) 22.2589 + 24.7210i 0.938099 + 1.04186i 0.999044 + 0.0437231i \(0.0139219\pi\)
−0.0609450 + 0.998141i \(0.519411\pi\)
\(564\) 19.1151 + 1.33665i 0.804889 + 0.0562833i
\(565\) −8.71600 12.9220i −0.366685 0.543633i
\(566\) −17.7829 22.7611i −0.747471 0.956719i
\(567\) −29.7422 18.5850i −1.24906 0.780497i
\(568\) −4.01140 + 8.22459i −0.168315 + 0.345096i
\(569\) −18.5522 + 13.4790i −0.777750 + 0.565069i −0.904303 0.426891i \(-0.859609\pi\)
0.126553 + 0.991960i \(0.459609\pi\)
\(570\) −12.0930 + 8.83401i −0.506522 + 0.370016i
\(571\) 29.2044 1.22217 0.611083 0.791566i \(-0.290734\pi\)
0.611083 + 0.791566i \(0.290734\pi\)
\(572\) 1.72555 8.99389i 0.0721488 0.376054i
\(573\) −35.6832 + 29.9418i −1.49069 + 1.25084i
\(574\) −0.185924 5.32417i −0.00776033 0.222227i
\(575\) −3.61768 + 1.03735i −0.150868 + 0.0432607i
\(576\) −0.436651 1.75131i −0.0181938 0.0729714i
\(577\) −7.44130 1.58170i −0.309785 0.0658469i 0.0503958 0.998729i \(-0.483952\pi\)
−0.360181 + 0.932882i \(0.617285\pi\)
\(578\) 22.4543 24.9380i 0.933974 1.03728i
\(579\) 29.3912 28.3828i 1.22146 1.17955i
\(580\) −1.17175 2.40243i −0.0486541 0.0997557i
\(581\) 33.1723 7.05098i 1.37622 0.292524i
\(582\) 18.3729 31.8229i 0.761583 1.31910i
\(583\) −1.64100 0.760358i −0.0679633 0.0314908i
\(584\) 6.41502 + 2.33487i 0.265455 + 0.0966178i
\(585\) −0.272619 7.80679i −0.0112714 0.322771i
\(586\) 3.88940 15.5996i 0.160670 0.644412i
\(587\) 13.9864 28.6764i 0.577282 1.18360i −0.387822 0.921734i \(-0.626772\pi\)
0.965103 0.261869i \(-0.0843388\pi\)
\(588\) −1.95164 6.00652i −0.0804841 0.247705i
\(589\) 24.0848 5.18457i 0.992398 0.213627i
\(590\) 7.28282 + 5.29128i 0.299829 + 0.217838i
\(591\) 20.3294 + 19.6319i 0.836241 + 0.807548i
\(592\) 1.21710 + 3.01243i 0.0500226 + 0.123810i
\(593\) 18.5091 6.73675i 0.760076 0.276645i 0.0672369 0.997737i \(-0.478582\pi\)
0.692839 + 0.721092i \(0.256359\pi\)
\(594\) 1.97502 + 8.46083i 0.0810361 + 0.347152i
\(595\) 26.8366 + 22.5186i 1.10019 + 0.923172i
\(596\) −14.6788 16.3024i −0.601266 0.667773i
\(597\) −14.2709 6.35380i −0.584068 0.260044i
\(598\) 2.93918 2.83834i 0.120192 0.116068i
\(599\) 41.0820 5.77370i 1.67856 0.235907i 0.765417 0.643535i \(-0.222533\pi\)
0.913148 + 0.407628i \(0.133644\pi\)
\(600\) 3.73037 4.14299i 0.152292 0.169137i
\(601\) −3.03684 + 1.35209i −0.123875 + 0.0551528i −0.467738 0.883867i \(-0.654931\pi\)
0.343863 + 0.939020i \(0.388264\pi\)
\(602\) −39.6679 2.77385i −1.61674 0.113054i
\(603\) 6.12657 7.84166i 0.249493 0.319337i
\(604\) −6.55785 + 2.38686i −0.266835 + 0.0971200i
\(605\) −14.2466 + 9.71060i −0.579206 + 0.394792i
\(606\) −1.29859 7.36467i −0.0527516 0.299169i
\(607\) −13.7055 + 42.1812i −0.556290 + 1.71208i 0.136223 + 0.990678i \(0.456504\pi\)
−0.692513 + 0.721406i \(0.743496\pi\)
\(608\) 4.09215 1.50143i 0.165959 0.0608909i
\(609\) −9.50651 6.90688i −0.385223 0.279881i
\(610\) −10.6414 + 5.65816i −0.430860 + 0.229092i
\(611\) −20.4698 12.7909i −0.828118 0.517465i
\(612\) 12.3365 + 3.53745i 0.498675 + 0.142993i
\(613\) 43.4460 12.4579i 1.75477 0.503171i 0.764775 0.644298i \(-0.222850\pi\)
0.989992 + 0.141127i \(0.0450725\pi\)
\(614\) 24.0106 15.0035i 0.968991 0.605492i
\(615\) −2.91140 + 5.04269i −0.117399 + 0.203341i
\(616\) −4.71052 + 9.30076i −0.189792 + 0.374738i
\(617\) 2.51314 14.2528i 0.101175 0.573794i −0.891504 0.453013i \(-0.850349\pi\)
0.992679 0.120781i \(-0.0385399\pi\)
\(618\) −11.8999 6.32728i −0.478683 0.254520i
\(619\) −1.21843 0.542480i −0.0489729 0.0218041i 0.382104 0.924119i \(-0.375200\pi\)
−0.431077 + 0.902315i \(0.641866\pi\)
\(620\) 8.09299 3.60323i 0.325022 0.144709i
\(621\) −1.45213 + 3.59414i −0.0582719 + 0.144228i
\(622\) −0.341951 + 9.79218i −0.0137110 + 0.392631i
\(623\) −27.4388 7.86794i −1.09931 0.315222i
\(624\) −1.46426 + 5.87284i −0.0586175 + 0.235102i
\(625\) −5.75857 0.809314i −0.230343 0.0323725i
\(626\) −12.8786 −0.514733
\(627\) 29.9109 10.4674i 1.19453 0.418028i
\(628\) 20.6903 0.825633
\(629\) −22.8769 3.21514i −0.912161 0.128196i
\(630\) −2.15137 + 8.62869i −0.0857128 + 0.343775i
\(631\) 20.5222 + 5.88464i 0.816975 + 0.234264i 0.657999 0.753018i \(-0.271403\pi\)
0.158976 + 0.987282i \(0.449181\pi\)
\(632\) 0.211990 6.07061i 0.00843252 0.241476i
\(633\) 14.8541 36.7652i 0.590398 1.46129i
\(634\) −20.2216 + 9.00323i −0.803102 + 0.357564i
\(635\) 26.8125 + 11.9377i 1.06402 + 0.473733i
\(636\) 1.05542 + 0.561175i 0.0418500 + 0.0222520i
\(637\) −1.38148 + 7.83476i −0.0547362 + 0.310424i
\(638\) 0.898380 + 5.58422i 0.0355672 + 0.221081i
\(639\) 8.25817 14.3036i 0.326688 0.565840i
\(640\) 1.32922 0.830589i 0.0525420 0.0328319i
\(641\) −10.6018 + 3.04001i −0.418745 + 0.120073i −0.478392 0.878146i \(-0.658780\pi\)
0.0596469 + 0.998220i \(0.481003\pi\)
\(642\) 20.5715 + 5.89879i 0.811893 + 0.232806i
\(643\) 14.7726 + 9.23095i 0.582575 + 0.364033i 0.788966 0.614436i \(-0.210617\pi\)
−0.206392 + 0.978469i \(0.566172\pi\)
\(644\) −4.10707 + 2.18377i −0.161841 + 0.0860524i
\(645\) 35.1618 + 25.5465i 1.38449 + 1.00589i
\(646\) −5.30293 + 30.5364i −0.208641 + 1.20144i
\(647\) −3.51006 + 10.8029i −0.137995 + 0.424704i −0.996044 0.0888637i \(-0.971676\pi\)
0.858049 + 0.513568i \(0.171676\pi\)
\(648\) −1.93740 10.9875i −0.0761081 0.431631i
\(649\) −11.5007 15.1849i −0.451440 0.596060i
\(650\) −6.59908 + 2.40187i −0.258837 + 0.0942091i
\(651\) 23.9769 30.6890i 0.939729 1.20280i
\(652\) −11.6204 0.812574i −0.455088 0.0318229i
\(653\) 22.3759 9.96240i 0.875637 0.389859i 0.0808349 0.996728i \(-0.474241\pi\)
0.794802 + 0.606869i \(0.207575\pi\)
\(654\) −22.0478 + 24.4866i −0.862138 + 0.957502i
\(655\) 20.6454 2.90153i 0.806684 0.113372i
\(656\) 1.21912 1.17729i 0.0475986 0.0459654i
\(657\) −11.2565 5.01170i −0.439156 0.195525i
\(658\) 18.3868 + 20.4207i 0.716794 + 0.796080i
\(659\) 10.8915 + 9.13906i 0.424273 + 0.356007i 0.829786 0.558082i \(-0.188463\pi\)
−0.405513 + 0.914089i \(0.632907\pi\)
\(660\) 9.75316 5.89262i 0.379641 0.229370i
\(661\) 13.6246 4.95895i 0.529936 0.192881i −0.0631739 0.998003i \(-0.520122\pi\)
0.593110 + 0.805122i \(0.297900\pi\)
\(662\) −6.80911 16.8531i −0.264644 0.655016i
\(663\) −30.9578 29.8956i −1.20230 1.16105i
\(664\) 8.72817 + 6.34139i 0.338719 + 0.246094i
\(665\) −21.2749 2.93386i −0.825005 0.113770i
\(666\) −1.81215 5.57722i −0.0702193 0.216113i
\(667\) −1.10624 + 2.26813i −0.0428337 + 0.0878222i
\(668\) 1.23915 4.96994i 0.0479440 0.192293i
\(669\) 0.345377 + 9.89030i 0.0133530 + 0.382381i
\(670\) 8.12041 + 2.95559i 0.313719 + 0.114184i
\(671\) 25.0222 4.92701i 0.965972 0.190205i
\(672\) 3.44523 5.96731i 0.132903 0.230194i
\(673\) −25.0841 + 5.33180i −0.966922 + 0.205526i −0.664202 0.747554i \(-0.731228\pi\)
−0.302721 + 0.953079i \(0.597895\pi\)
\(674\) −7.92395 16.2465i −0.305219 0.625792i
\(675\) 4.79257 4.62813i 0.184466 0.178137i
\(676\) −3.59703 + 3.99490i −0.138347 + 0.153650i
\(677\) −18.3901 3.90894i −0.706790 0.150233i −0.159527 0.987194i \(-0.550997\pi\)
−0.547263 + 0.836961i \(0.684330\pi\)
\(678\) −5.27349 21.1508i −0.202527 0.812291i
\(679\) 50.6537 14.5247i 1.94391 0.557408i
\(680\) 0.388945 + 11.1379i 0.0149153 + 0.427120i
\(681\) 25.6652 21.5356i 0.983492 0.825247i
\(682\) −18.6002 + 2.32975i −0.712240 + 0.0892109i
\(683\) 0.0139498 0.000533773 0.000266887 1.00000i \(-0.499915\pi\)
0.000266887 1.00000i \(0.499915\pi\)
\(684\) −7.55709 + 2.18814i −0.288952 + 0.0836657i
\(685\) −9.43814 + 6.85721i −0.360613 + 0.262001i
\(686\) −5.67568 + 11.6369i −0.216698 + 0.444297i
\(687\) −7.81369 4.88254i −0.298111 0.186280i
\(688\) −7.78817 9.96840i −0.296921 0.380042i
\(689\) −0.841993 1.24831i −0.0320774 0.0475566i
\(690\) 5.07169 + 0.354647i 0.193076 + 0.0135012i
\(691\) −9.98325 11.0875i −0.379781 0.421789i 0.522702 0.852516i \(-0.324924\pi\)
−0.902483 + 0.430726i \(0.858257\pi\)
\(692\) −4.97095 8.60995i −0.188967 0.327301i
\(693\) 9.65245 16.1532i 0.366666 0.613610i
\(694\) 1.10192 6.24929i 0.0418283 0.237220i
\(695\) −24.6614 + 5.24194i −0.935460 + 0.198838i
\(696\) −0.390745 3.71769i −0.0148111 0.140919i
\(697\) 2.91527 + 11.6925i 0.110424 + 0.442886i
\(698\) −0.682322 + 19.5392i −0.0258263 + 0.739568i
\(699\) −1.13926 1.45819i −0.0430908 0.0551537i
\(700\) 7.97522 0.557682i 0.301435 0.0210784i
\(701\) 24.3191 + 23.4847i 0.918520 + 0.887004i 0.993915 0.110149i \(-0.0351329\pi\)
−0.0753952 + 0.997154i \(0.524022\pi\)
\(702\) −2.23522 + 6.87931i −0.0843631 + 0.259643i
\(703\) 12.9228 5.79372i 0.487392 0.218514i
\(704\) −3.20152 + 0.866194i −0.120662 + 0.0326459i
\(705\) −5.21532 29.5776i −0.196420 1.11396i
\(706\) −2.13292 5.27917i −0.0802737 0.198684i
\(707\) 5.99687 8.89072i 0.225535 0.334370i
\(708\) 7.03996 + 10.4372i 0.264578 + 0.392253i
\(709\) 11.2133 27.7538i 0.421123 1.04232i −0.556292 0.830987i \(-0.687776\pi\)
0.977415 0.211330i \(-0.0677793\pi\)
\(710\) 14.0293 + 2.98201i 0.526509 + 0.111913i
\(711\) −1.14602 + 10.9036i −0.0429790 + 0.408918i
\(712\) −3.98070 8.16165i −0.149183 0.305871i
\(713\) −7.38464 3.92648i −0.276557 0.147048i
\(714\) 24.4969 + 42.4298i 0.916772 + 1.58790i
\(715\) −14.3325 + 0.786089i −0.536004 + 0.0293981i
\(716\) 1.77296 + 1.48769i 0.0662585 + 0.0555975i
\(717\) −35.4769 + 45.4083i −1.32491 + 1.69580i
\(718\) −17.3611 + 25.7388i −0.647909 + 0.960565i
\(719\) −46.3533 + 3.24134i −1.72869 + 0.120882i −0.899169 0.437601i \(-0.855828\pi\)
−0.829517 + 0.558482i \(0.811384\pi\)
\(720\) −2.49788 + 1.32814i −0.0930904 + 0.0494970i
\(721\) −5.97243 18.3813i −0.222425 0.684554i
\(722\) −7.20861 17.5794i −0.268277 0.654238i
\(723\) 8.27310 6.01076i 0.307680 0.223543i
\(724\) −4.29641 0.603822i −0.159675 0.0224409i
\(725\) 3.32251 2.78792i 0.123395 0.103541i
\(726\) −23.3673 + 5.94698i −0.867241 + 0.220713i
\(727\) 11.3647 + 4.13641i 0.421493 + 0.153411i 0.544054 0.839050i \(-0.316889\pi\)
−0.122561 + 0.992461i \(0.539111\pi\)
\(728\) −7.36082 + 4.59955i −0.272810 + 0.170471i
\(729\) 0.304272 + 2.89495i 0.0112693 + 0.107221i
\(730\) 1.11847 10.6415i 0.0413963 0.393859i
\(731\) 89.0714 12.5182i 3.29443 0.463001i
\(732\) −16.6911 + 2.34579i −0.616922 + 0.0867027i
\(733\) 0.203067 1.93205i 0.00750045 0.0713620i −0.990131 0.140142i \(-0.955244\pi\)
0.997632 + 0.0687802i \(0.0219107\pi\)
\(734\) 1.31105 + 12.4738i 0.0483917 + 0.460416i
\(735\) −8.39486 + 5.24569i −0.309649 + 0.193490i
\(736\) −1.39052 0.506108i −0.0512553 0.0186554i
\(737\) −14.6304 10.9691i −0.538916 0.404051i
\(738\) −2.34329 + 1.96625i −0.0862576 + 0.0723787i
\(739\) 14.6009 + 2.05203i 0.537104 + 0.0754850i 0.402509 0.915416i \(-0.368138\pi\)
0.134594 + 0.990901i \(0.457027\pi\)
\(740\) 4.11989 2.99328i 0.151450 0.110035i
\(741\) 25.8204 + 5.41849i 0.948536 + 0.199053i
\(742\) 0.529704 + 1.63026i 0.0194460 + 0.0598487i
\(743\) 34.6278 18.4119i 1.27037 0.675468i 0.309089 0.951033i \(-0.399976\pi\)
0.961283 + 0.275565i \(0.0888648\pi\)
\(744\) 12.3591 0.864233i 0.453107 0.0316843i
\(745\) −19.2272 + 28.5055i −0.704431 + 1.04436i
\(746\) 7.00278 8.96315i 0.256390 0.328164i
\(747\) −14.9169 12.5168i −0.545782 0.457965i
\(748\) 6.04817 22.7937i 0.221143 0.833419i
\(749\) 15.3446 + 26.5776i 0.560680 + 0.971126i
\(750\) −22.8832 12.1672i −0.835575 0.444283i
\(751\) 3.53787 + 7.25371i 0.129099 + 0.264692i 0.953546 0.301247i \(-0.0974028\pi\)
−0.824447 + 0.565939i \(0.808514\pi\)
\(752\) −0.913747 + 8.69372i −0.0333209 + 0.317027i
\(753\) −40.8019 8.67272i −1.48691 0.316052i
\(754\) −1.76397 + 4.36598i −0.0642400 + 0.159000i
\(755\) 6.11665 + 9.06830i 0.222608 + 0.330029i
\(756\) 4.60473 6.82679i 0.167472 0.248288i
\(757\) 8.44307 + 20.8973i 0.306869 + 0.759527i 0.999277 + 0.0380208i \(0.0121053\pi\)
−0.692408 + 0.721506i \(0.743450\pi\)
\(758\) 5.81390 + 32.9722i 0.211170 + 1.19761i
\(759\) −10.0528 3.83089i −0.364894 0.139052i
\(760\) −3.83510 5.65415i −0.139114 0.205097i
\(761\) 0.309190 0.951588i 0.0112081 0.0344950i −0.945296 0.326214i \(-0.894227\pi\)
0.956504 + 0.291719i \(0.0942271\pi\)
\(762\) 29.5262 + 28.5132i 1.06962 + 1.03292i
\(763\) −47.1365 + 3.29610i −1.70646 + 0.119327i
\(764\) −13.0830 16.7455i −0.473328 0.605832i
\(765\) 0.702017 20.1031i 0.0253815 0.726830i
\(766\) 5.04901 + 20.2505i 0.182428 + 0.731680i
\(767\) −1.65768 15.7718i −0.0598554 0.569486i
\(768\) 2.14411 0.455745i 0.0773690 0.0164453i
\(769\) 5.35598 30.3753i 0.193142 1.09536i −0.721899 0.691998i \(-0.756731\pi\)
0.915041 0.403362i \(-0.132158\pi\)
\(770\) 15.9310 + 3.63718i 0.574115 + 0.131075i
\(771\) 6.54188 + 11.3309i 0.235600