Properties

Label 483.2.bf.a.388.9
Level $483$
Weight $2$
Character 483.388
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 388.9
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34752 + 1.05970i) q^{2} +(0.814576 - 0.580057i) q^{3} +(0.221326 - 0.912318i) q^{4} +(-1.18796 - 0.228961i) q^{5} +(-0.482971 + 1.64485i) q^{6} +(0.252104 - 2.63371i) q^{7} +(-0.755737 - 1.65483i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(-1.34752 + 1.05970i) q^{2} +(0.814576 - 0.580057i) q^{3} +(0.221326 - 0.912318i) q^{4} +(-1.18796 - 0.228961i) q^{5} +(-0.482971 + 1.64485i) q^{6} +(0.252104 - 2.63371i) q^{7} +(-0.755737 - 1.65483i) q^{8} +(0.327068 - 0.945001i) q^{9} +(1.84343 - 0.950355i) q^{10} +(-2.19945 + 2.79683i) q^{11} +(-0.348910 - 0.871534i) q^{12} +(-3.01057 + 4.68454i) q^{13} +(2.45124 + 3.81614i) q^{14} +(-1.10049 + 0.502579i) q^{15} +(4.44085 + 2.28942i) q^{16} +(-4.10833 + 3.91728i) q^{17} +(0.560688 + 1.62000i) q^{18} +(5.09250 + 4.85569i) q^{19} +(-0.471812 + 1.03312i) q^{20} +(-1.32235 - 2.29159i) q^{21} -6.09955i q^{22} +(-1.33516 + 4.60623i) q^{23} +(-1.57550 - 0.909617i) q^{24} +(-3.28301 - 1.31432i) q^{25} +(-0.907410 - 9.50283i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-2.34699 - 0.812908i) q^{28} +(1.64016 + 0.481594i) q^{29} +(0.950355 - 1.84343i) q^{30} +(-0.0541600 + 0.567190i) q^{31} +(-4.83751 + 0.932354i) q^{32} +(-0.169300 + 3.55404i) q^{33} +(1.38490 - 9.63222i) q^{34} +(-0.902506 + 3.07103i) q^{35} +(-0.789753 - 0.507543i) q^{36} +(0.0333173 + 0.0115312i) q^{37} +(-12.0078 - 1.14661i) q^{38} +(0.264961 + 5.56222i) q^{39} +(0.518894 + 2.13891i) q^{40} +(3.96851 + 3.43874i) q^{41} +(4.21030 + 1.68668i) q^{42} +(1.02326 + 0.467307i) q^{43} +(2.06480 + 2.62561i) q^{44} +(-0.604912 + 1.04774i) q^{45} +(-3.08208 - 7.62186i) q^{46} +(-2.39693 + 1.38387i) q^{47} +(4.94540 - 0.711041i) q^{48} +(-6.87289 - 1.32794i) q^{49} +(5.81672 - 1.70794i) q^{50} +(-1.07430 + 5.57399i) q^{51} +(3.60747 + 3.78341i) q^{52} +(-9.31389 + 0.443675i) q^{53} +(1.39642 + 0.994384i) q^{54} +(3.25323 - 2.81894i) q^{55} +(-4.54888 + 1.57320i) q^{56} +(6.96480 + 1.00139i) q^{57} +(-2.72050 + 1.08912i) q^{58} +(-3.53820 - 6.86314i) q^{59} +(0.214944 + 1.11523i) q^{60} +(8.72067 - 12.2465i) q^{61} +(-0.528070 - 0.821693i) q^{62} +(-2.40641 - 1.09964i) q^{63} +(-1.01307 + 1.16914i) q^{64} +(4.64902 - 4.87575i) q^{65} +(-3.53809 - 4.96855i) q^{66} +(-2.47123 + 6.17284i) q^{67} +(2.66453 + 4.61510i) q^{68} +(1.58429 + 4.52659i) q^{69} +(-2.03823 - 5.09466i) q^{70} +(0.277132 + 1.92749i) q^{71} +(-1.81100 + 0.172929i) q^{72} +(-2.50845 - 0.608543i) q^{73} +(-0.0571154 + 0.0197678i) q^{74} +(-3.43664 + 0.833721i) q^{75} +(5.55703 - 3.57129i) q^{76} +(6.81156 + 6.49782i) q^{77} +(-6.25133 - 7.21442i) q^{78} +(-11.3775 - 0.541978i) q^{79} +(-4.75136 - 3.73651i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(-8.99169 - 0.428327i) q^{82} +(-2.67688 - 3.08929i) q^{83} +(-2.38333 + 0.699211i) q^{84} +(5.77743 - 3.71293i) q^{85} +(-1.87407 + 0.454644i) q^{86} +(1.61539 - 0.559091i) q^{87} +(6.29050 + 1.52606i) q^{88} +(5.86851 - 0.560375i) q^{89} +(-0.295159 - 2.05288i) q^{90} +(11.5788 + 9.10997i) q^{91} +(3.90684 + 2.23757i) q^{92} +(0.284885 + 0.493435i) q^{93} +(1.76342 - 4.40481i) q^{94} +(-4.93792 - 6.93434i) q^{95} +(-3.39970 + 3.56551i) q^{96} +(-4.96801 + 5.73339i) q^{97} +(10.6686 - 5.49379i) q^{98} +(1.92364 + 2.99324i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34752 + 1.05970i −0.952841 + 0.749323i −0.968101 0.250561i \(-0.919385\pi\)
0.0152597 + 0.999884i \(0.495143\pi\)
\(3\) 0.814576 0.580057i 0.470296 0.334896i
\(4\) 0.221326 0.912318i 0.110663 0.456159i
\(5\) −1.18796 0.228961i −0.531272 0.102394i −0.0834414 0.996513i \(-0.526591\pi\)
−0.447831 + 0.894118i \(0.647803\pi\)
\(6\) −0.482971 + 1.64485i −0.197172 + 0.671506i
\(7\) 0.252104 2.63371i 0.0952863 0.995450i
\(8\) −0.755737 1.65483i −0.267193 0.585072i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) 1.84343 0.950355i 0.582944 0.300529i
\(11\) −2.19945 + 2.79683i −0.663160 + 0.843277i −0.994981 0.100066i \(-0.968095\pi\)
0.331821 + 0.943342i \(0.392337\pi\)
\(12\) −0.348910 0.871534i −0.100722 0.251590i
\(13\) −3.01057 + 4.68454i −0.834982 + 1.29926i 0.117008 + 0.993131i \(0.462670\pi\)
−0.951991 + 0.306127i \(0.900967\pi\)
\(14\) 2.45124 + 3.81614i 0.655120 + 1.01991i
\(15\) −1.10049 + 0.502579i −0.284146 + 0.129765i
\(16\) 4.44085 + 2.28942i 1.11021 + 0.572354i
\(17\) −4.10833 + 3.91728i −0.996416 + 0.950080i −0.998753 0.0499168i \(-0.984104\pi\)
0.00233765 + 0.999997i \(0.499256\pi\)
\(18\) 0.560688 + 1.62000i 0.132156 + 0.381838i
\(19\) 5.09250 + 4.85569i 1.16830 + 1.11397i 0.991551 + 0.129715i \(0.0414061\pi\)
0.176748 + 0.984256i \(0.443442\pi\)
\(20\) −0.471812 + 1.03312i −0.105500 + 0.231013i
\(21\) −1.32235 2.29159i −0.288559 0.500067i
\(22\) 6.09955i 1.30043i
\(23\) −1.33516 + 4.60623i −0.278399 + 0.960465i
\(24\) −1.57550 0.909617i −0.321598 0.185675i
\(25\) −3.28301 1.31432i −0.656602 0.262864i
\(26\) −0.907410 9.50283i −0.177958 1.86366i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −2.34699 0.812908i −0.443539 0.153625i
\(29\) 1.64016 + 0.481594i 0.304570 + 0.0894298i 0.430446 0.902616i \(-0.358356\pi\)
−0.125877 + 0.992046i \(0.540174\pi\)
\(30\) 0.950355 1.84343i 0.173510 0.336563i
\(31\) −0.0541600 + 0.567190i −0.00972743 + 0.101870i −0.999032 0.0439964i \(-0.985991\pi\)
0.989304 + 0.145867i \(0.0465970\pi\)
\(32\) −4.83751 + 0.932354i −0.855160 + 0.164819i
\(33\) −0.169300 + 3.55404i −0.0294713 + 0.618679i
\(34\) 1.38490 9.63222i 0.237509 1.65191i
\(35\) −0.902506 + 3.07103i −0.152551 + 0.519098i
\(36\) −0.789753 0.507543i −0.131625 0.0845906i
\(37\) 0.0333173 + 0.0115312i 0.00547733 + 0.00189572i 0.329805 0.944049i \(-0.393017\pi\)
−0.324328 + 0.945945i \(0.605138\pi\)
\(38\) −12.0078 1.14661i −1.94793 0.186004i
\(39\) 0.264961 + 5.56222i 0.0424277 + 0.890668i
\(40\) 0.518894 + 2.13891i 0.0820444 + 0.338192i
\(41\) 3.96851 + 3.43874i 0.619778 + 0.537040i 0.907166 0.420774i \(-0.138241\pi\)
−0.287388 + 0.957814i \(0.592787\pi\)
\(42\) 4.21030 + 1.68668i 0.649663 + 0.260260i
\(43\) 1.02326 + 0.467307i 0.156046 + 0.0712636i 0.491907 0.870648i \(-0.336300\pi\)
−0.335861 + 0.941911i \(0.609027\pi\)
\(44\) 2.06480 + 2.62561i 0.311281 + 0.395826i
\(45\) −0.604912 + 1.04774i −0.0901749 + 0.156188i
\(46\) −3.08208 7.62186i −0.454428 1.12378i
\(47\) −2.39693 + 1.38387i −0.349627 + 0.201858i −0.664521 0.747269i \(-0.731364\pi\)
0.314894 + 0.949127i \(0.398031\pi\)
\(48\) 4.94540 0.711041i 0.713807 0.102630i
\(49\) −6.87289 1.32794i −0.981841 0.189705i
\(50\) 5.81672 1.70794i 0.822608 0.241539i
\(51\) −1.07430 + 5.57399i −0.150432 + 0.780514i
\(52\) 3.60747 + 3.78341i 0.500267 + 0.524665i
\(53\) −9.31389 + 0.443675i −1.27936 + 0.0609435i −0.676225 0.736695i \(-0.736385\pi\)
−0.603136 + 0.797638i \(0.706082\pi\)
\(54\) 1.39642 + 0.994384i 0.190028 + 0.135319i
\(55\) 3.25323 2.81894i 0.438665 0.380106i
\(56\) −4.54888 + 1.57320i −0.607870 + 0.210228i
\(57\) 6.96480 + 1.00139i 0.922510 + 0.132637i
\(58\) −2.72050 + 1.08912i −0.357219 + 0.143009i
\(59\) −3.53820 6.86314i −0.460634 0.893505i −0.998718 0.0506140i \(-0.983882\pi\)
0.538085 0.842891i \(-0.319148\pi\)
\(60\) 0.214944 + 1.11523i 0.0277491 + 0.143976i
\(61\) 8.72067 12.2465i 1.11657 1.56800i 0.337198 0.941434i \(-0.390521\pi\)
0.779369 0.626566i \(-0.215540\pi\)
\(62\) −0.528070 0.821693i −0.0670650 0.104355i
\(63\) −2.40641 1.09964i −0.303179 0.138542i
\(64\) −1.01307 + 1.16914i −0.126633 + 0.146142i
\(65\) 4.64902 4.87575i 0.576639 0.604762i
\(66\) −3.53809 4.96855i −0.435509 0.611586i
\(67\) −2.47123 + 6.17284i −0.301909 + 0.754133i 0.697390 + 0.716692i \(0.254345\pi\)
−0.999299 + 0.0374406i \(0.988080\pi\)
\(68\) 2.66453 + 4.61510i 0.323122 + 0.559663i
\(69\) 1.58429 + 4.52659i 0.190726 + 0.544938i
\(70\) −2.03823 5.09466i −0.243615 0.608928i
\(71\) 0.277132 + 1.92749i 0.0328895 + 0.228751i 0.999636 0.0269859i \(-0.00859093\pi\)
−0.966746 + 0.255737i \(0.917682\pi\)
\(72\) −1.81100 + 0.172929i −0.213428 + 0.0203799i
\(73\) −2.50845 0.608543i −0.293591 0.0712245i 0.0862580 0.996273i \(-0.472509\pi\)
−0.379849 + 0.925048i \(0.624024\pi\)
\(74\) −0.0571154 + 0.0197678i −0.00663953 + 0.00229796i
\(75\) −3.43664 + 0.833721i −0.396829 + 0.0962698i
\(76\) 5.55703 3.57129i 0.637435 0.409655i
\(77\) 6.81156 + 6.49782i 0.776250 + 0.740495i
\(78\) −6.25133 7.21442i −0.707824 0.816873i
\(79\) −11.3775 0.541978i −1.28007 0.0609773i −0.603505 0.797359i \(-0.706230\pi\)
−0.676566 + 0.736382i \(0.736533\pi\)
\(80\) −4.75136 3.73651i −0.531219 0.417755i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) −8.99169 0.428327i −0.992966 0.0473008i
\(83\) −2.67688 3.08929i −0.293826 0.339093i 0.589573 0.807715i \(-0.299296\pi\)
−0.883399 + 0.468622i \(0.844751\pi\)
\(84\) −2.38333 + 0.699211i −0.260043 + 0.0762901i
\(85\) 5.77743 3.71293i 0.626651 0.402724i
\(86\) −1.87407 + 0.454644i −0.202086 + 0.0490255i
\(87\) 1.61539 0.559091i 0.173188 0.0599408i
\(88\) 6.29050 + 1.52606i 0.670570 + 0.162678i
\(89\) 5.86851 0.560375i 0.622061 0.0593997i 0.220734 0.975334i \(-0.429155\pi\)
0.401328 + 0.915934i \(0.368549\pi\)
\(90\) −0.295159 2.05288i −0.0311125 0.216392i
\(91\) 11.5788 + 9.10997i 1.21378 + 0.954985i
\(92\) 3.90684 + 2.23757i 0.407317 + 0.233282i
\(93\) 0.284885 + 0.493435i 0.0295412 + 0.0511668i
\(94\) 1.76342 4.40481i 0.181883 0.454322i
\(95\) −4.93792 6.93434i −0.506620 0.711449i
\(96\) −3.39970 + 3.56551i −0.346981 + 0.363903i
\(97\) −4.96801 + 5.73339i −0.504425 + 0.582138i −0.949662 0.313275i \(-0.898574\pi\)
0.445237 + 0.895413i \(0.353119\pi\)
\(98\) 10.6686 5.49379i 1.07769 0.554956i
\(99\) 1.92364 + 2.99324i 0.193333 + 0.300832i
\(100\) −1.92569 + 2.70426i −0.192569 + 0.270426i
\(101\) −1.92046 9.96429i −0.191093 0.991484i −0.943145 0.332381i \(-0.892148\pi\)
0.752052 0.659103i \(-0.229064\pi\)
\(102\) −4.45913 8.64950i −0.441519 0.856428i
\(103\) 11.3733 4.55318i 1.12064 0.448638i 0.263988 0.964526i \(-0.414962\pi\)
0.856656 + 0.515887i \(0.172538\pi\)
\(104\) 10.0273 + 1.44171i 0.983261 + 0.141372i
\(105\) 1.04621 + 3.02509i 0.102100 + 0.295218i
\(106\) 12.0805 10.4678i 1.17336 1.01672i
\(107\) 9.90740 + 7.05503i 0.957785 + 0.682035i 0.948118 0.317918i \(-0.102984\pi\)
0.00966637 + 0.999953i \(0.496923\pi\)
\(108\) −0.937718 + 0.0446690i −0.0902319 + 0.00429828i
\(109\) −0.802267 0.841393i −0.0768432 0.0805908i 0.684190 0.729304i \(-0.260156\pi\)
−0.761033 + 0.648713i \(0.775308\pi\)
\(110\) −1.39656 + 7.24603i −0.133157 + 0.690882i
\(111\) 0.0338282 0.00993286i 0.00321083 0.000942786i
\(112\) 7.14922 11.1187i 0.675538 1.05062i
\(113\) −6.74162 + 0.969299i −0.634199 + 0.0911840i −0.451914 0.892062i \(-0.649258\pi\)
−0.182285 + 0.983246i \(0.558349\pi\)
\(114\) −10.4464 + 6.03122i −0.978394 + 0.564876i
\(115\) 2.64076 5.16632i 0.246252 0.481762i
\(116\) 0.802377 1.38976i 0.0744988 0.129036i
\(117\) 3.44223 + 4.37716i 0.318235 + 0.404668i
\(118\) 12.0407 + 5.49879i 1.10843 + 0.506205i
\(119\) 9.28127 + 11.8077i 0.850813 + 1.08241i
\(120\) 1.66337 + 1.44132i 0.151844 + 0.131574i
\(121\) −0.391328 1.61308i −0.0355753 0.146643i
\(122\) 1.22632 + 25.7437i 0.111026 + 2.33072i
\(123\) 5.22732 + 0.499148i 0.471331 + 0.0450067i
\(124\) 0.505470 + 0.174945i 0.0453926 + 0.0157105i
\(125\) 8.68800 + 5.58344i 0.777079 + 0.499398i
\(126\) 4.40797 1.06828i 0.392694 0.0951703i
\(127\) −0.855482 + 5.95001i −0.0759117 + 0.527978i 0.916013 + 0.401149i \(0.131389\pi\)
−0.991925 + 0.126829i \(0.959520\pi\)
\(128\) 0.595016 12.4909i 0.0525924 1.10405i
\(129\) 1.10459 0.212892i 0.0972534 0.0187441i
\(130\) −1.09781 + 11.4967i −0.0962839 + 1.00833i
\(131\) 2.77462 5.38201i 0.242420 0.470229i −0.735966 0.677019i \(-0.763271\pi\)
0.978385 + 0.206790i \(0.0663018\pi\)
\(132\) 3.20495 + 0.941057i 0.278955 + 0.0819085i
\(133\) 14.0723 12.1880i 1.22023 1.05684i
\(134\) −3.21134 10.9368i −0.277417 0.944796i
\(135\) 0.115001 + 1.20435i 0.00989771 + 0.103654i
\(136\) 9.58727 + 3.83816i 0.822101 + 0.329120i
\(137\) 18.0690 + 10.4322i 1.54374 + 0.891279i 0.998598 + 0.0529366i \(0.0168581\pi\)
0.545143 + 0.838343i \(0.316475\pi\)
\(138\) −6.93170 4.42080i −0.590066 0.376324i
\(139\) 2.68557i 0.227787i −0.993493 0.113894i \(-0.963668\pi\)
0.993493 0.113894i \(-0.0363323\pi\)
\(140\) 2.60200 + 1.50307i 0.219909 + 0.127033i
\(141\) −1.14976 + 2.51762i −0.0968270 + 0.212022i
\(142\) −2.41601 2.30366i −0.202747 0.193319i
\(143\) −6.48026 18.7235i −0.541907 1.56574i
\(144\) 3.61596 3.44781i 0.301330 0.287317i
\(145\) −1.83818 0.947647i −0.152652 0.0786978i
\(146\) 4.02506 1.83818i 0.333116 0.152129i
\(147\) −6.36877 + 2.90496i −0.525287 + 0.239597i
\(148\) 0.0178941 0.0278438i 0.00147089 0.00228875i
\(149\) 4.14288 + 10.3484i 0.339398 + 0.847776i 0.995645 + 0.0932292i \(0.0297189\pi\)
−0.656246 + 0.754547i \(0.727857\pi\)
\(150\) 3.74745 4.76527i 0.305978 0.389083i
\(151\) −18.6685 + 9.62430i −1.51922 + 0.783214i −0.997552 0.0699315i \(-0.977722\pi\)
−0.521672 + 0.853146i \(0.674692\pi\)
\(152\) 4.18676 12.0969i 0.339591 0.981185i
\(153\) 2.35813 + 5.16359i 0.190644 + 0.417452i
\(154\) −16.0645 1.53772i −1.29451 0.123913i
\(155\) 0.194204 0.661398i 0.0155988 0.0531248i
\(156\) 5.13316 + 0.989335i 0.410981 + 0.0792102i
\(157\) −3.96516 + 16.3446i −0.316454 + 1.30444i 0.562208 + 0.826996i \(0.309952\pi\)
−0.878662 + 0.477445i \(0.841563\pi\)
\(158\) 15.9058 11.3265i 1.26540 0.901084i
\(159\) −7.32951 + 5.76399i −0.581268 + 0.457114i
\(160\) 5.96025 0.471199
\(161\) 11.7949 + 4.67767i 0.929568 + 0.368652i
\(162\) 1.71429 0.134687
\(163\) −18.7994 + 14.7840i −1.47248 + 1.15797i −0.519687 + 0.854357i \(0.673951\pi\)
−0.952795 + 0.303615i \(0.901806\pi\)
\(164\) 4.01556 2.85946i 0.313562 0.223287i
\(165\) 1.01486 4.18330i 0.0790065 0.325669i
\(166\) 6.88088 + 1.32618i 0.534060 + 0.102932i
\(167\) 5.72316 19.4913i 0.442871 1.50828i −0.371775 0.928323i \(-0.621251\pi\)
0.814646 0.579958i \(-0.196931\pi\)
\(168\) −2.79286 + 3.92010i −0.215474 + 0.302443i
\(169\) −7.48099 16.3811i −0.575461 1.26008i
\(170\) −3.85061 + 11.1256i −0.295328 + 0.853295i
\(171\) 6.25422 3.22427i 0.478272 0.246566i
\(172\) 0.652806 0.830111i 0.0497760 0.0632953i
\(173\) −7.28742 18.2031i −0.554052 1.38396i −0.895923 0.444209i \(-0.853485\pi\)
0.341871 0.939747i \(-0.388939\pi\)
\(174\) −1.58430 + 2.46521i −0.120105 + 0.186887i
\(175\) −4.28920 + 8.31517i −0.324233 + 0.628568i
\(176\) −16.1705 + 7.38484i −1.21890 + 0.556653i
\(177\) −6.86314 3.53820i −0.515865 0.265947i
\(178\) −7.31412 + 6.97399i −0.548216 + 0.522723i
\(179\) 4.78012 + 13.8112i 0.357283 + 1.03230i 0.970232 + 0.242178i \(0.0778618\pi\)
−0.612949 + 0.790122i \(0.710017\pi\)
\(180\) 0.821988 + 0.783764i 0.0612674 + 0.0584183i
\(181\) 2.65879 5.82195i 0.197627 0.432742i −0.784710 0.619863i \(-0.787188\pi\)
0.982337 + 0.187121i \(0.0599156\pi\)
\(182\) −25.2565 0.00584206i −1.87213 0.000433042i
\(183\) 15.0342i 1.11136i
\(184\) 8.63157 1.27164i 0.636328 0.0937463i
\(185\) −0.0369394 0.0213270i −0.00271584 0.00156799i
\(186\) −0.906782 0.363021i −0.0664885 0.0266180i
\(187\) −1.91991 20.1062i −0.140398 1.47031i
\(188\) 0.732024 + 2.49304i 0.0533883 + 0.181824i
\(189\) −2.59805 + 0.500111i −0.188981 + 0.0363777i
\(190\) 14.0023 + 4.11145i 1.01583 + 0.298276i
\(191\) 7.30936 14.1782i 0.528887 1.02590i −0.461444 0.887170i \(-0.652668\pi\)
0.990331 0.138728i \(-0.0443013\pi\)
\(192\) −0.147051 + 1.53999i −0.0106125 + 0.111139i
\(193\) −16.4046 + 3.16173i −1.18083 + 0.227587i −0.741634 0.670804i \(-0.765949\pi\)
−0.439197 + 0.898391i \(0.644737\pi\)
\(194\) 0.618813 12.9905i 0.0444282 0.932662i
\(195\) 0.958765 6.66836i 0.0686586 0.477531i
\(196\) −2.73265 + 5.97635i −0.195189 + 0.426882i
\(197\) 0.186817 + 0.120060i 0.0133102 + 0.00855393i 0.547279 0.836950i \(-0.315664\pi\)
−0.533969 + 0.845504i \(0.679300\pi\)
\(198\) −5.76408 1.99497i −0.409636 0.141776i
\(199\) −11.8937 1.13571i −0.843123 0.0805085i −0.335450 0.942058i \(-0.608888\pi\)
−0.507673 + 0.861550i \(0.669494\pi\)
\(200\) 0.306114 + 6.42612i 0.0216455 + 0.454395i
\(201\) 1.56759 + 6.46171i 0.110569 + 0.455774i
\(202\) 13.1470 + 11.3920i 0.925022 + 0.801536i
\(203\) 1.68187 4.19830i 0.118044 0.294663i
\(204\) 4.84748 + 2.21377i 0.339392 + 0.154995i
\(205\) −3.92710 4.99372i −0.274281 0.348776i
\(206\) −10.5007 + 18.1878i −0.731621 + 1.26721i
\(207\) 3.91620 + 2.76827i 0.272195 + 0.192408i
\(208\) −24.0943 + 13.9109i −1.67064 + 0.964546i
\(209\) −24.7812 + 3.56301i −1.71415 + 0.246458i
\(210\) −4.61548 2.96770i −0.318498 0.204791i
\(211\) 18.5058 5.43378i 1.27399 0.374077i 0.426305 0.904579i \(-0.359815\pi\)
0.847683 + 0.530502i \(0.177997\pi\)
\(212\) −1.65663 + 8.59543i −0.113778 + 0.590336i
\(213\) 1.34380 + 1.40934i 0.0920756 + 0.0965662i
\(214\) −20.8267 + 0.992096i −1.42368 + 0.0678183i
\(215\) −1.10860 0.789428i −0.0756056 0.0538385i
\(216\) −1.37489 + 1.19135i −0.0935491 + 0.0810608i
\(217\) 1.48016 + 0.285633i 0.100480 + 0.0193900i
\(218\) 1.97270 + 0.283631i 0.133608 + 0.0192099i
\(219\) −2.39631 + 0.959338i −0.161928 + 0.0648260i
\(220\) −1.85174 3.59188i −0.124845 0.242165i
\(221\) −5.98226 31.0389i −0.402410 2.08790i
\(222\) −0.0350584 + 0.0492326i −0.00235296 + 0.00330427i
\(223\) −2.21575 3.44777i −0.148377 0.230880i 0.759107 0.650966i \(-0.225636\pi\)
−0.907484 + 0.420086i \(0.862000\pi\)
\(224\) 1.23600 + 12.9757i 0.0825836 + 0.866974i
\(225\) −2.31580 + 2.67258i −0.154387 + 0.178172i
\(226\) 8.05731 8.45026i 0.535964 0.562103i
\(227\) −6.01054 8.44063i −0.398934 0.560224i 0.565433 0.824794i \(-0.308709\pi\)
−0.964366 + 0.264570i \(0.914770\pi\)
\(228\) 2.45508 6.13248i 0.162591 0.406133i
\(229\) 13.2674 + 22.9799i 0.876736 + 1.51855i 0.854902 + 0.518790i \(0.173617\pi\)
0.0218343 + 0.999762i \(0.493049\pi\)
\(230\) 1.91628 + 9.76014i 0.126356 + 0.643565i
\(231\) 9.31764 + 1.34187i 0.613056 + 0.0882889i
\(232\) −0.442571 3.07815i −0.0290562 0.202090i
\(233\) −23.1464 + 2.21021i −1.51637 + 0.144796i −0.819783 0.572674i \(-0.805906\pi\)
−0.696589 + 0.717470i \(0.745300\pi\)
\(234\) −9.27696 2.25057i −0.606454 0.147124i
\(235\) 3.16430 1.09518i 0.206416 0.0714414i
\(236\) −7.04446 + 1.70897i −0.458556 + 0.111244i
\(237\) −9.58223 + 6.15813i −0.622433 + 0.400013i
\(238\) −25.0194 6.07576i −1.62176 0.393833i
\(239\) −0.0839309 0.0968614i −0.00542904 0.00626545i 0.753029 0.657988i \(-0.228592\pi\)
−0.758458 + 0.651722i \(0.774047\pi\)
\(240\) −6.03774 0.287613i −0.389734 0.0185653i
\(241\) 10.1320 + 7.96792i 0.652661 + 0.513259i 0.888702 0.458484i \(-0.151608\pi\)
−0.236041 + 0.971743i \(0.575850\pi\)
\(242\) 2.23670 + 1.75896i 0.143781 + 0.113070i
\(243\) −0.998867 0.0475819i −0.0640774 0.00305238i
\(244\) −9.24256 10.6665i −0.591694 0.682852i
\(245\) 7.86067 + 3.15116i 0.502200 + 0.201320i
\(246\) −7.57287 + 4.86679i −0.482828 + 0.310295i
\(247\) −38.0780 + 9.23762i −2.42284 + 0.587776i
\(248\) 0.979535 0.339020i 0.0622005 0.0215278i
\(249\) −3.97249 0.963715i −0.251746 0.0610729i
\(250\) −17.6241 + 1.68289i −1.11464 + 0.106435i
\(251\) 3.16064 + 21.9827i 0.199498 + 1.38754i 0.805745 + 0.592262i \(0.201765\pi\)
−0.606247 + 0.795276i \(0.707326\pi\)
\(252\) −1.53582 + 1.95203i −0.0967478 + 0.122966i
\(253\) −9.94624 13.8654i −0.625315 0.871710i
\(254\) −5.15245 8.92431i −0.323294 0.559961i
\(255\) 2.55245 6.37571i 0.159840 0.399262i
\(256\) 10.6402 + 14.9420i 0.665010 + 0.933876i
\(257\) 7.79986 8.18026i 0.486542 0.510270i −0.434001 0.900912i \(-0.642899\pi\)
0.920543 + 0.390642i \(0.127747\pi\)
\(258\) −1.26285 + 1.45741i −0.0786217 + 0.0907343i
\(259\) 0.0387694 0.0848411i 0.00240901 0.00527177i
\(260\) −3.41929 5.32051i −0.212055 0.329964i
\(261\) 0.991550 1.39244i 0.0613754 0.0861897i
\(262\) 1.96447 + 10.1926i 0.121365 + 0.629704i
\(263\) −1.79855 3.48870i −0.110903 0.215123i 0.826852 0.562420i \(-0.190130\pi\)
−0.937755 + 0.347298i \(0.887099\pi\)
\(264\) 6.00929 2.40576i 0.369846 0.148064i
\(265\) 11.1661 + 1.60545i 0.685929 + 0.0986217i
\(266\) −6.04706 + 31.3361i −0.370769 + 1.92134i
\(267\) 4.45530 3.86054i 0.272660 0.236261i
\(268\) 5.08465 + 3.62076i 0.310594 + 0.221173i
\(269\) 17.9041 0.852875i 1.09163 0.0520007i 0.505965 0.862554i \(-0.331137\pi\)
0.585665 + 0.810553i \(0.300833\pi\)
\(270\) −1.43121 1.50101i −0.0871009 0.0913488i
\(271\) −5.67271 + 29.4328i −0.344592 + 1.78792i 0.233934 + 0.972252i \(0.424840\pi\)
−0.578527 + 0.815663i \(0.696372\pi\)
\(272\) −27.2127 + 7.99038i −1.65001 + 0.484488i
\(273\) 14.7161 + 0.704425i 0.890658 + 0.0426337i
\(274\) −35.4034 + 5.09024i −2.13880 + 0.307512i
\(275\) 10.8968 6.29125i 0.657100 0.379377i
\(276\) 4.48034 0.443523i 0.269685 0.0266970i
\(277\) 15.3942 26.6636i 0.924948 1.60206i 0.133304 0.991075i \(-0.457441\pi\)
0.791644 0.610982i \(-0.209225\pi\)
\(278\) 2.84591 + 3.61887i 0.170686 + 0.217045i
\(279\) 0.518281 + 0.236691i 0.0310286 + 0.0141703i
\(280\) 5.76409 0.827391i 0.344470 0.0494460i
\(281\) 9.84835 + 8.53364i 0.587503 + 0.509074i 0.897120 0.441787i \(-0.145655\pi\)
−0.309617 + 0.950861i \(0.600201\pi\)
\(282\) −1.11860 4.61094i −0.0666118 0.274578i
\(283\) −0.406332 8.52995i −0.0241539 0.507053i −0.978234 0.207503i \(-0.933466\pi\)
0.954081 0.299550i \(-0.0968366\pi\)
\(284\) 1.81982 + 0.173772i 0.107987 + 0.0103115i
\(285\) −8.04463 2.78427i −0.476523 0.164926i
\(286\) 28.5736 + 18.3631i 1.68959 + 1.08584i
\(287\) 10.0571 9.58500i 0.593653 0.565785i
\(288\) −0.701120 + 4.87640i −0.0413139 + 0.287345i
\(289\) 0.724361 15.2062i 0.0426095 0.894483i
\(290\) 3.48121 0.670948i 0.204424 0.0393994i
\(291\) −0.721130 + 7.55201i −0.0422734 + 0.442707i
\(292\) −1.11037 + 2.15382i −0.0649794 + 0.126043i
\(293\) 17.0118 + 4.99512i 0.993841 + 0.291818i 0.737926 0.674881i \(-0.235805\pi\)
0.255915 + 0.966699i \(0.417623\pi\)
\(294\) 5.50366 10.6635i 0.320980 0.621907i
\(295\) 2.63185 + 8.96325i 0.153232 + 0.521860i
\(296\) −0.00609685 0.0638491i −0.000354372 0.00371116i
\(297\) 3.30320 + 1.32240i 0.191671 + 0.0767335i
\(298\) −16.5489 9.55449i −0.958650 0.553477i
\(299\) −17.5585 20.1220i −1.01543 1.16368i
\(300\) 3.31984i 0.191671i
\(301\) 1.48872 2.57716i 0.0858083 0.148545i
\(302\) 14.9574 32.7520i 0.860699 1.88467i
\(303\) −7.34421 7.00269i −0.421914 0.402294i
\(304\) 11.4983 + 33.2222i 0.659474 + 1.90542i
\(305\) −13.1638 + 12.5516i −0.753755 + 0.718704i
\(306\) −8.64950 4.45913i −0.494459 0.254911i
\(307\) −0.283910 + 0.129657i −0.0162036 + 0.00739994i −0.423500 0.905896i \(-0.639199\pi\)
0.407297 + 0.913296i \(0.366471\pi\)
\(308\) 7.43566 4.77618i 0.423686 0.272148i
\(309\) 6.62331 10.3061i 0.376787 0.586292i
\(310\) 0.439191 + 1.09705i 0.0249444 + 0.0623080i
\(311\) −3.07703 + 3.91277i −0.174483 + 0.221873i −0.865427 0.501035i \(-0.832953\pi\)
0.690944 + 0.722908i \(0.257195\pi\)
\(312\) 9.00430 4.64204i 0.509768 0.262804i
\(313\) −5.29121 + 15.2880i −0.299077 + 0.864126i 0.690907 + 0.722944i \(0.257212\pi\)
−0.989984 + 0.141182i \(0.954910\pi\)
\(314\) −11.9773 26.2266i −0.675917 1.48005i
\(315\) 2.60694 + 1.85730i 0.146884 + 0.104647i
\(316\) −3.01260 + 10.2600i −0.169472 + 0.577168i
\(317\) 3.70662 + 0.714392i 0.208184 + 0.0401243i 0.292277 0.956334i \(-0.405587\pi\)
−0.0840926 + 0.996458i \(0.526799\pi\)
\(318\) 3.76856 15.5342i 0.211330 0.871115i
\(319\) −4.95439 + 3.52801i −0.277393 + 0.197530i
\(320\) 1.47117 1.15694i 0.0822408 0.0646749i
\(321\) 12.1626 0.678853
\(322\) −20.8508 + 6.19581i −1.16197 + 0.345279i
\(323\) −39.9427 −2.22247
\(324\) −0.737932 + 0.580316i −0.0409962 + 0.0322398i
\(325\) 16.0407 11.4226i 0.889780 0.633609i
\(326\) 9.66593 39.8435i 0.535346 2.20673i
\(327\) −1.14156 0.220018i −0.0631286 0.0121670i
\(328\) 2.69138 9.16601i 0.148607 0.506108i
\(329\) 3.04043 + 6.66169i 0.167624 + 0.367271i
\(330\) 3.06551 + 6.71253i 0.168751 + 0.369512i
\(331\) 3.38874 9.79113i 0.186262 0.538169i −0.812750 0.582613i \(-0.802030\pi\)
0.999012 + 0.0444437i \(0.0141515\pi\)
\(332\) −3.41088 + 1.75843i −0.187196 + 0.0965063i
\(333\) 0.0217940 0.0277134i 0.00119431 0.00151868i
\(334\) 12.9429 + 32.3298i 0.708203 + 1.76901i
\(335\) 4.34907 6.76728i 0.237615 0.369736i
\(336\) −0.625924 13.2040i −0.0341469 0.720338i
\(337\) 1.48917 0.680081i 0.0811202 0.0370464i −0.374442 0.927250i \(-0.622166\pi\)
0.455562 + 0.890204i \(0.349438\pi\)
\(338\) 27.4398 + 14.1462i 1.49253 + 0.769453i
\(339\) −4.92932 + 4.70009i −0.267724 + 0.255274i
\(340\) −2.10868 6.09263i −0.114359 0.330419i
\(341\) −1.46721 1.39898i −0.0794540 0.0757592i
\(342\) −5.01092 + 10.9724i −0.270960 + 0.593319i
\(343\) −5.23009 + 17.7664i −0.282398 + 0.959297i
\(344\) 2.04648i 0.110339i
\(345\) −0.845662 5.74015i −0.0455289 0.309039i
\(346\) 29.1098 + 16.8066i 1.56495 + 0.903526i
\(347\) −12.1902 4.88023i −0.654406 0.261985i 0.0206103 0.999788i \(-0.493439\pi\)
−0.675016 + 0.737803i \(0.735863\pi\)
\(348\) −0.152542 1.59749i −0.00817709 0.0856343i
\(349\) −3.02538 10.3035i −0.161945 0.551534i −0.999982 0.00592144i \(-0.998115\pi\)
0.838037 0.545613i \(-0.183703\pi\)
\(350\) −3.03181 15.7501i −0.162057 0.841880i
\(351\) 5.34296 + 1.56883i 0.285186 + 0.0837382i
\(352\) 8.03225 15.5804i 0.428120 0.830437i
\(353\) −2.08755 + 21.8618i −0.111109 + 1.16359i 0.752208 + 0.658925i \(0.228989\pi\)
−0.863317 + 0.504661i \(0.831617\pi\)
\(354\) 12.9977 2.50509i 0.690818 0.133144i
\(355\) 0.112098 2.35324i 0.00594957 0.124897i
\(356\) 0.787614 5.47798i 0.0417435 0.290332i
\(357\) 14.4094 + 4.23462i 0.762629 + 0.224120i
\(358\) −21.0771 13.5454i −1.11396 0.715898i
\(359\) −2.42072 0.837821i −0.127761 0.0442185i 0.262439 0.964948i \(-0.415473\pi\)
−0.390200 + 0.920730i \(0.627594\pi\)
\(360\) 2.19099 + 0.209214i 0.115475 + 0.0110265i
\(361\) 1.45178 + 30.4767i 0.0764096 + 1.60403i
\(362\) 2.58675 + 10.6627i 0.135957 + 0.560420i
\(363\) −1.25444 1.08698i −0.0658411 0.0570517i
\(364\) 10.8739 8.54724i 0.569946 0.447997i
\(365\) 2.84060 + 1.29726i 0.148684 + 0.0679017i
\(366\) 15.9317 + 20.2588i 0.832765 + 1.05895i
\(367\) 2.49688 4.32473i 0.130336 0.225749i −0.793470 0.608609i \(-0.791728\pi\)
0.923806 + 0.382860i \(0.125061\pi\)
\(368\) −16.4748 + 17.3988i −0.858808 + 0.906977i
\(369\) 4.54758 2.62555i 0.236738 0.136681i
\(370\) 0.0723769 0.0104062i 0.00376270 0.000540994i
\(371\) −1.17955 + 24.6420i −0.0612394 + 1.27935i
\(372\) 0.513222 0.150696i 0.0266093 0.00781320i
\(373\) 1.98895 10.3197i 0.102984 0.534332i −0.893392 0.449278i \(-0.851681\pi\)
0.996376 0.0850546i \(-0.0271065\pi\)
\(374\) 23.8937 + 25.0590i 1.23551 + 1.29577i
\(375\) 10.3158 0.491400i 0.532703 0.0253758i
\(376\) 4.10151 + 2.92067i 0.211519 + 0.150622i
\(377\) −7.19386 + 6.23352i −0.370503 + 0.321043i
\(378\) 2.97096 3.42707i 0.152810 0.176270i
\(379\) −26.2343 3.77192i −1.34757 0.193751i −0.569530 0.821970i \(-0.692875\pi\)
−0.778036 + 0.628220i \(0.783784\pi\)
\(380\) −7.41922 + 2.97021i −0.380598 + 0.152368i
\(381\) 2.75449 + 5.34296i 0.141117 + 0.273728i
\(382\) 5.17513 + 26.8511i 0.264783 + 1.37382i
\(383\) −14.5354 + 20.4121i −0.742724 + 1.04301i 0.254391 + 0.967101i \(0.418125\pi\)
−0.997115 + 0.0759082i \(0.975814\pi\)
\(384\) −6.76076 10.5199i −0.345008 0.536844i
\(385\) −6.60412 9.27873i −0.336577 0.472888i
\(386\) 18.7551 21.6445i 0.954609 1.10168i
\(387\) 0.776280 0.814139i 0.0394605 0.0413850i
\(388\) 4.13113 + 5.80136i 0.209726 + 0.294519i
\(389\) 9.49228 23.7106i 0.481278 1.20217i −0.466865 0.884329i \(-0.654617\pi\)
0.948143 0.317845i \(-0.102959\pi\)
\(390\) 5.77452 + 10.0018i 0.292404 + 0.506459i
\(391\) −12.5586 24.1541i −0.635118 1.22152i
\(392\) 2.99658 + 12.3771i 0.151350 + 0.625136i
\(393\) −0.861735 5.99350i −0.0434688 0.302332i
\(394\) −0.378968 + 0.0361871i −0.0190921 + 0.00182308i
\(395\) 13.3920 + 3.24885i 0.673822 + 0.163468i
\(396\) 3.15654 1.09249i 0.158622 0.0548996i
\(397\) 23.9338 5.80627i 1.20120 0.291408i 0.415256 0.909704i \(-0.363692\pi\)
0.785945 + 0.618296i \(0.212177\pi\)
\(398\) 17.2305 11.0734i 0.863689 0.555059i
\(399\) 4.39322 18.0908i 0.219936 0.905674i
\(400\) −11.5703 13.3529i −0.578516 0.667644i
\(401\) 20.8303 + 0.992271i 1.04022 + 0.0495517i 0.560731 0.827998i \(-0.310520\pi\)
0.479486 + 0.877549i \(0.340823\pi\)
\(402\) −8.95985 7.04610i −0.446877 0.351428i
\(403\) −2.49397 1.96128i −0.124233 0.0976983i
\(404\) −9.51565 0.453286i −0.473421 0.0225518i
\(405\) 0.792266 + 0.914324i 0.0393680 + 0.0454331i
\(406\) 2.18259 + 7.43957i 0.108320 + 0.369220i
\(407\) −0.105531 + 0.0678205i −0.00523096 + 0.00336174i
\(408\) 10.0359 2.43469i 0.496852 0.120535i
\(409\) 32.8352 11.3644i 1.62360 0.561933i 0.644373 0.764711i \(-0.277118\pi\)
0.979225 + 0.202778i \(0.0649971\pi\)
\(410\) 10.5837 + 2.56758i 0.522692 + 0.126804i
\(411\) 20.7698 1.98328i 1.02450 0.0978280i
\(412\) −1.63674 11.3838i −0.0806366 0.560840i
\(413\) −18.9675 + 7.58837i −0.933331 + 0.373399i
\(414\) −8.21071 + 0.419702i −0.403535 + 0.0206272i
\(415\) 2.47271 + 4.28285i 0.121380 + 0.210237i
\(416\) 10.1960 25.4685i 0.499902 1.24869i
\(417\) −1.55779 2.18760i −0.0762851 0.107127i
\(418\) 29.6175 31.0620i 1.44864 1.51929i
\(419\) −20.9109 + 24.1325i −1.02156 + 1.17895i −0.0378363 + 0.999284i \(0.512047\pi\)
−0.983728 + 0.179664i \(0.942499\pi\)
\(420\) 2.99140 0.284945i 0.145965 0.0139039i
\(421\) 10.7264 + 16.6906i 0.522774 + 0.813452i 0.997785 0.0665281i \(-0.0211922\pi\)
−0.475011 + 0.879980i \(0.657556\pi\)
\(422\) −19.1787 + 26.9327i −0.933605 + 1.31106i
\(423\) 0.523796 + 2.71771i 0.0254679 + 0.132140i
\(424\) 7.77306 + 15.0776i 0.377493 + 0.732235i
\(425\) 18.6363 7.46083i 0.903991 0.361903i
\(426\) −3.30428 0.475083i −0.160093 0.0230179i
\(427\) −30.0552 26.0551i −1.45447 1.26090i
\(428\) 8.62920 7.47724i 0.417108 0.361426i
\(429\) −16.1394 11.4928i −0.779216 0.554877i
\(430\) 2.33041 0.111011i 0.112383 0.00535344i
\(431\) 4.73252 + 4.96332i 0.227957 + 0.239075i 0.827773 0.561064i \(-0.189608\pi\)
−0.599815 + 0.800139i \(0.704759\pi\)
\(432\) 0.945547 4.90596i 0.0454926 0.236038i
\(433\) 25.3088 7.43132i 1.21626 0.357126i 0.390212 0.920725i \(-0.372402\pi\)
0.826049 + 0.563599i \(0.190583\pi\)
\(434\) −2.29723 + 1.18363i −0.110271 + 0.0568162i
\(435\) −2.04702 + 0.294318i −0.0981473 + 0.0141115i
\(436\) −0.945181 + 0.545700i −0.0452659 + 0.0261343i
\(437\) −29.1657 + 16.9741i −1.39518 + 0.811982i
\(438\) 2.21247 3.83210i 0.105716 0.183105i
\(439\) −3.25652 4.14100i −0.155425 0.197639i 0.702104 0.712074i \(-0.252244\pi\)
−0.857529 + 0.514435i \(0.828002\pi\)
\(440\) −7.12346 3.25317i −0.339598 0.155089i
\(441\) −3.50280 + 6.06056i −0.166800 + 0.288598i
\(442\) 40.9532 + 35.4861i 1.94794 + 1.68790i
\(443\) −5.20222 21.4439i −0.247165 1.01883i −0.951178 0.308642i \(-0.900126\pi\)
0.704013 0.710187i \(-0.251390\pi\)
\(444\) −0.00157487 0.0330605i −7.47398e−5 0.00156898i
\(445\) −7.09987 0.677955i −0.336566 0.0321382i
\(446\) 6.63938 + 2.29791i 0.314384 + 0.108809i
\(447\) 9.37737 + 6.02647i 0.443534 + 0.285042i
\(448\) 2.82378 + 2.96287i 0.133411 + 0.139982i
\(449\) −1.99929 + 13.9053i −0.0943522 + 0.656234i 0.886679 + 0.462385i \(0.153006\pi\)
−0.981031 + 0.193849i \(0.937903\pi\)
\(450\) 0.288455 6.05541i 0.0135979 0.285455i
\(451\) −18.3461 + 3.53593i −0.863885 + 0.166500i
\(452\) −0.607787 + 6.36504i −0.0285879 + 0.299386i
\(453\) −9.62430 + 18.6685i −0.452189 + 0.877124i
\(454\) 17.0439 + 5.00453i 0.799909 + 0.234874i
\(455\) −11.6693 13.4734i −0.547064 0.631641i
\(456\) −3.60643 12.2824i −0.168887 0.575175i
\(457\) 0.102356 + 1.07192i 0.00478803 + 0.0501425i 0.997550 0.0699546i \(-0.0222855\pi\)
−0.992762 + 0.120097i \(0.961679\pi\)
\(458\) −42.2299 16.9063i −1.97328 0.789980i
\(459\) 4.91605 + 2.83829i 0.229462 + 0.132480i
\(460\) −4.12886 3.55265i −0.192509 0.165643i
\(461\) 13.2908i 0.619014i −0.950897 0.309507i \(-0.899836\pi\)
0.950897 0.309507i \(-0.100164\pi\)
\(462\) −13.9777 + 8.06572i −0.650302 + 0.375251i
\(463\) −6.05486 + 13.2583i −0.281393 + 0.616165i −0.996568 0.0827807i \(-0.973620\pi\)
0.715175 + 0.698946i \(0.246347\pi\)
\(464\) 6.18113 + 5.89369i 0.286952 + 0.273608i
\(465\) −0.225455 0.651409i −0.0104552 0.0302083i
\(466\) 28.8481 27.5066i 1.33636 1.27422i
\(467\) 13.1617 + 6.78532i 0.609050 + 0.313987i 0.735018 0.678047i \(-0.237174\pi\)
−0.125968 + 0.992034i \(0.540204\pi\)
\(468\) 4.75522 2.17163i 0.219810 0.100384i
\(469\) 15.6345 + 8.06472i 0.721934 + 0.372394i
\(470\) −3.10340 + 4.82899i −0.143149 + 0.222745i
\(471\) 6.25088 + 15.6139i 0.288025 + 0.719452i
\(472\) −8.68341 + 11.0419i −0.399686 + 0.508243i
\(473\) −3.55759 + 1.83406i −0.163578 + 0.0843304i
\(474\) 6.38648 18.4525i 0.293341 0.847552i
\(475\) −10.3368 22.6344i −0.474285 1.03854i
\(476\) 12.8266 5.85412i 0.587905 0.268323i
\(477\) −2.62700 + 8.94674i −0.120282 + 0.409643i
\(478\) 0.215743 + 0.0415810i 0.00986785 + 0.00190187i
\(479\) −0.980527 + 4.04179i −0.0448014 + 0.184674i −0.989816 0.142355i \(-0.954532\pi\)
0.945014 + 0.327029i \(0.106048\pi\)
\(480\) 4.85508 3.45728i 0.221603 0.157803i
\(481\) −0.154323 + 0.121361i −0.00703650 + 0.00553357i
\(482\) −22.0967 −1.00648
\(483\) 12.3211 3.03139i 0.560632 0.137933i
\(484\) −1.55825 −0.0708295
\(485\) 7.21452 5.67356i 0.327595 0.257623i
\(486\) 1.39642 0.994384i 0.0633428 0.0451062i
\(487\) 4.54532 18.7361i 0.205968 0.849012i −0.771209 0.636583i \(-0.780347\pi\)
0.977177 0.212429i \(-0.0681374\pi\)
\(488\) −26.8564 5.17615i −1.21573 0.234313i
\(489\) −6.73797 + 22.9474i −0.304701 + 1.03772i
\(490\) −13.9317 + 4.08372i −0.629371 + 0.184484i
\(491\) 13.7115 + 30.0241i 0.618793 + 1.35497i 0.916394 + 0.400277i \(0.131086\pi\)
−0.297602 + 0.954690i \(0.596187\pi\)
\(492\) 1.61232 4.65850i 0.0726892 0.210022i
\(493\) −8.62485 + 4.44642i −0.388444 + 0.200257i
\(494\) 41.5218 52.7992i 1.86815 2.37555i
\(495\) −1.59987 3.99629i −0.0719089 0.179620i
\(496\) −1.53905 + 2.39481i −0.0691053 + 0.107530i
\(497\) 5.14633 0.243957i 0.230844 0.0109430i
\(498\) 6.37426 2.91103i 0.285637 0.130446i
\(499\) −16.0665 8.28284i −0.719234 0.370791i 0.0594296 0.998232i \(-0.481072\pi\)
−0.778664 + 0.627442i \(0.784102\pi\)
\(500\) 7.01676 6.69046i 0.313799 0.299207i
\(501\) −6.64411 19.1969i −0.296837 0.857654i
\(502\) −27.5542 26.2729i −1.22980 1.17262i
\(503\) 15.4221 33.7697i 0.687637 1.50572i −0.166706 0.986007i \(-0.553313\pi\)
0.854343 0.519709i \(-0.173960\pi\)
\(504\) −0.00111335 + 4.81324i −4.95924e−5 + 0.214399i
\(505\) 12.2769i 0.546315i
\(506\) 28.0960 + 8.14386i 1.24902 + 0.362039i
\(507\) −15.5958 9.00423i −0.692633 0.399892i
\(508\) 5.23896 + 2.09736i 0.232441 + 0.0930554i
\(509\) −0.111805 1.17087i −0.00495566 0.0518980i 0.992656 0.120973i \(-0.0386014\pi\)
−0.997611 + 0.0690747i \(0.977995\pi\)
\(510\) 3.31687 + 11.2962i 0.146874 + 0.500205i
\(511\) −2.23512 + 6.45311i −0.0988757 + 0.285469i
\(512\) −6.17486 1.81310i −0.272893 0.0801286i
\(513\) 3.22427 6.25422i 0.142355 0.276131i
\(514\) −1.84184 + 19.2886i −0.0812399 + 0.850783i
\(515\) −14.5535 + 2.80496i −0.641305 + 0.123601i
\(516\) 0.0502488 1.05485i 0.00221208 0.0464373i
\(517\) 1.40149 9.74754i 0.0616373 0.428697i
\(518\) 0.0376638 + 0.155409i 0.00165485 + 0.00682828i
\(519\) −16.4950 10.6007i −0.724050 0.465318i
\(520\) −11.5820 4.00856i −0.507904 0.175787i
\(521\) −10.7955 1.03085i −0.472961 0.0451623i −0.144145 0.989557i \(-0.546043\pi\)
−0.328815 + 0.944394i \(0.606649\pi\)
\(522\) 0.139434 + 2.92709i 0.00610288 + 0.128115i
\(523\) −4.07466 16.7960i −0.178172 0.734436i −0.988846 0.148938i \(-0.952414\pi\)
0.810674 0.585497i \(-0.199101\pi\)
\(524\) −4.29601 3.72252i −0.187672 0.162619i
\(525\) 1.32939 + 9.26132i 0.0580193 + 0.404197i
\(526\) 6.12057 + 2.79517i 0.266870 + 0.121875i
\(527\) −1.99933 2.54236i −0.0870924 0.110747i
\(528\) −8.88851 + 15.3953i −0.386823 + 0.669997i
\(529\) −19.4347 12.3001i −0.844988 0.534786i
\(530\) −16.7479 + 9.66939i −0.727481 + 0.420011i
\(531\) −7.64290 + 1.09888i −0.331674 + 0.0476875i
\(532\) −8.00480 15.5360i −0.347052 0.673570i
\(533\) −28.0564 + 8.23810i −1.21526 + 0.356832i
\(534\) −1.91259 + 9.92345i −0.0827658 + 0.429430i
\(535\) −10.1543 10.6495i −0.439008 0.460418i
\(536\) 12.0826 0.575567i 0.521890 0.0248607i
\(537\) 11.9051 + 8.47756i 0.513742 + 0.365834i
\(538\) −23.2223 + 20.1222i −1.00118 + 0.867531i
\(539\) 18.8306 16.3016i 0.811092 0.702159i
\(540\) 1.12420 + 0.161635i 0.0483778 + 0.00695568i
\(541\) 32.5398 13.0270i 1.39900 0.560073i 0.455137 0.890422i \(-0.349590\pi\)
0.943859 + 0.330348i \(0.107166\pi\)
\(542\) −23.5459 45.6727i −1.01138 1.96181i
\(543\) −1.21127 6.28467i −0.0519806 0.269701i
\(544\) 16.2218 22.7803i 0.695504 0.976698i
\(545\) 0.760415 + 1.18323i 0.0325726 + 0.0506840i
\(546\) −20.5767 + 14.6454i −0.880602 + 0.626767i
\(547\) −22.6130 + 26.0968i −0.966861 + 1.11582i 0.0263687 + 0.999652i \(0.491606\pi\)
−0.993230 + 0.116165i \(0.962940\pi\)
\(548\) 13.5166 14.1758i 0.577400 0.605560i
\(549\) −8.72067 12.2465i −0.372189 0.522666i
\(550\) −8.01677 + 20.0249i −0.341836 + 0.853865i
\(551\) 6.01404 + 10.4166i 0.256207 + 0.443763i
\(552\) 6.29345 6.04265i 0.267867 0.257192i
\(553\) −4.29573 + 29.8285i −0.182673 + 1.26844i
\(554\) 7.51140 + 52.2430i 0.319129 + 2.21959i
\(555\) −0.0424608 + 0.00405452i −0.00180236 + 0.000172105i
\(556\) −2.45010 0.594387i −0.103907 0.0252076i
\(557\) 29.9462 10.3645i 1.26886 0.439157i 0.392029 0.919953i \(-0.371773\pi\)
0.876833 + 0.480796i \(0.159652\pi\)
\(558\) −0.949216 + 0.230277i −0.0401835 + 0.00974841i
\(559\) −5.26971 + 3.38664i −0.222885 + 0.143240i
\(560\) −11.0387 + 11.5717i −0.466472 + 0.488995i
\(561\) −13.2266 15.2644i −0.558429 0.644462i
\(562\) −22.3140 1.06295i −0.941258 0.0448376i
\(563\) 22.4430 + 17.6493i 0.945858 + 0.743831i 0.966689 0.255952i \(-0.0823889\pi\)
−0.0208315 + 0.999783i \(0.506631\pi\)
\(564\) 2.04240 + 1.60616i 0.0860004 + 0.0676315i
\(565\) 8.23071 + 0.392077i 0.346269 + 0.0164948i
\(566\) 9.58674 + 11.0637i 0.402961 + 0.465042i
\(567\) −1.82622 + 1.91440i −0.0766940 + 0.0803972i
\(568\) 2.98024 1.91528i 0.125048 0.0803635i
\(569\) 10.1199 2.45506i 0.424249 0.102922i −0.0179496 0.999839i \(-0.505714\pi\)
0.442198 + 0.896917i \(0.354199\pi\)
\(570\) 13.7908 4.77304i 0.577633 0.199921i
\(571\) −9.65778 2.34295i −0.404165 0.0980495i 0.0285227 0.999593i \(-0.490920\pi\)
−0.432688 + 0.901544i \(0.642435\pi\)
\(572\) −18.5160 + 1.76807i −0.774194 + 0.0739266i
\(573\) −2.27012 15.7891i −0.0948358 0.659597i
\(574\) −3.39493 + 23.5735i −0.141702 + 0.983941i
\(575\) 10.4374 13.3675i 0.435270 0.557463i
\(576\) 0.773497 + 1.33974i 0.0322290 + 0.0558223i
\(577\) 4.88276 12.1965i 0.203272 0.507748i −0.791345 0.611370i \(-0.790619\pi\)
0.994617 + 0.103621i \(0.0330431\pi\)
\(578\) 15.1380 + 21.2583i 0.629656 + 0.884228i
\(579\) −11.5288 + 12.0911i −0.479122 + 0.502489i
\(580\) −1.27139 + 1.46726i −0.0527917 + 0.0609249i
\(581\) −8.81115 + 6.27132i −0.365548 + 0.260178i
\(582\) −7.03115 10.9407i −0.291450 0.453506i
\(583\) 19.2446 27.0252i 0.797029 1.11927i
\(584\) 0.888690 + 4.61096i 0.0367742 + 0.190803i
\(585\) −3.08704 5.98802i −0.127633 0.247574i
\(586\) −28.2171 + 11.2964i −1.16564 + 0.466651i
\(587\) 3.71158 + 0.533644i 0.153193 + 0.0220259i 0.218485 0.975840i \(-0.429889\pi\)
−0.0652915 + 0.997866i \(0.520798\pi\)
\(588\) 1.24067 + 6.45329i 0.0511645 + 0.266129i
\(589\) −3.02990 + 2.62543i −0.124845 + 0.108179i
\(590\) −13.0448 9.28919i −0.537048 0.382430i
\(591\) 0.221818 0.0105665i 0.00912439 0.000434648i
\(592\) 0.121557 + 0.127485i 0.00499597 + 0.00523962i
\(593\) 1.49272 7.74498i 0.0612988 0.318048i −0.938317 0.345777i \(-0.887615\pi\)
0.999615 + 0.0277287i \(0.00882746\pi\)
\(594\) −5.85248 + 1.71844i −0.240130 + 0.0705086i
\(595\) −8.32228 16.1521i −0.341180 0.662173i
\(596\) 10.3580 1.48925i 0.424279 0.0610022i
\(597\) −10.3471 + 5.97391i −0.423479 + 0.244496i
\(598\) 44.9837 + 8.50802i 1.83952 + 0.347919i
\(599\) −5.07293 + 8.78658i −0.207274 + 0.359010i −0.950855 0.309637i \(-0.899793\pi\)
0.743581 + 0.668646i \(0.233126\pi\)
\(600\) 3.97687 + 5.05700i 0.162355 + 0.206451i
\(601\) −19.5280 8.91812i −0.796562 0.363778i −0.0248029 0.999692i \(-0.507896\pi\)
−0.771760 + 0.635914i \(0.780623\pi\)
\(602\) 0.724942 + 5.05038i 0.0295464 + 0.205838i
\(603\) 5.02508 + 4.35426i 0.204637 + 0.177319i
\(604\) 4.64859 + 19.1618i 0.189149 + 0.779681i
\(605\) 0.0955513 + 2.00587i 0.00388471 + 0.0815502i
\(606\) 17.3173 + 1.65360i 0.703465 + 0.0671728i
\(607\) 3.79666 + 1.31404i 0.154102 + 0.0533351i 0.403030 0.915187i \(-0.367957\pi\)
−0.248928 + 0.968522i \(0.580078\pi\)
\(608\) −29.1622 18.7414i −1.18269 0.760066i
\(609\) −1.06524 4.39541i −0.0431657 0.178111i
\(610\) 4.43747 30.8633i 0.179668 1.24962i
\(611\) 0.733341 15.3947i 0.0296678 0.622804i
\(612\) 5.23275 1.00853i 0.211522 0.0407674i
\(613\) −3.03267 + 31.7596i −0.122488 + 1.28276i 0.700069 + 0.714075i \(0.253153\pi\)
−0.822557 + 0.568682i \(0.807454\pi\)
\(614\) 0.245177 0.475576i 0.00989453 0.0191927i
\(615\) −6.09556 1.78982i −0.245797 0.0721724i
\(616\) 5.60506 16.1826i 0.225834 0.652017i
\(617\) 10.0334 + 34.1705i 0.403928 + 1.37565i 0.870935 + 0.491399i \(0.163514\pi\)
−0.467007 + 0.884254i \(0.654668\pi\)
\(618\) 1.99632 + 20.9064i 0.0803037 + 0.840978i
\(619\) 4.80748 + 1.92463i 0.193229 + 0.0773572i 0.466259 0.884648i \(-0.345602\pi\)
−0.273030 + 0.962006i \(0.588026\pi\)
\(620\) −0.560423 0.323561i −0.0225071 0.0129945i
\(621\) 4.79580 0.0166515i 0.192449 0.000668202i
\(622\) 8.53327i 0.342153i
\(623\) 0.00360779 15.5973i 0.000144543 0.624891i
\(624\) −11.5576 + 25.3076i −0.462673 + 1.01311i
\(625\) 3.75418 + 3.57961i 0.150167 + 0.143184i
\(626\) −9.07066 26.2080i −0.362536 1.04748i
\(627\) −18.1195 + 17.2769i −0.723622 + 0.689972i
\(628\) 14.0339 + 7.23497i 0.560013 + 0.288707i
\(629\) −0.182049 + 0.0831392i −0.00725878 + 0.00331498i
\(630\) −5.48109 + 0.259826i −0.218372 + 0.0103517i
\(631\) 7.09632 11.0421i 0.282500 0.439578i −0.670785 0.741652i \(-0.734043\pi\)
0.953285 + 0.302074i \(0.0976789\pi\)
\(632\) 7.70153 + 19.2375i 0.306351 + 0.765227i
\(633\) 11.9224 15.1606i 0.473875 0.602580i
\(634\) −5.75179 + 2.96525i −0.228433 + 0.117765i
\(635\) 2.37860 6.87250i 0.0943917 0.272727i
\(636\) 3.63638 + 7.96257i 0.144192 + 0.315736i
\(637\) 26.9121 28.1985i 1.06630 1.11726i
\(638\) 2.93751 10.0042i 0.116297 0.396072i
\(639\) 1.91212 + 0.368531i 0.0756424 + 0.0145789i
\(640\) −3.56678 + 14.7025i −0.140989 + 0.581166i
\(641\) −17.7408 + 12.6331i −0.700718 + 0.498979i −0.874020 0.485890i \(-0.838496\pi\)
0.173302 + 0.984869i \(0.444556\pi\)
\(642\) −16.3894 + 12.8888i −0.646839 + 0.508680i
\(643\) 3.98839 0.157287 0.0786434 0.996903i \(-0.474941\pi\)
0.0786434 + 0.996903i \(0.474941\pi\)
\(644\) 6.87804 9.72540i 0.271033 0.383235i
\(645\) −1.36095 −0.0535873
\(646\) 53.8237 42.3274i 2.11766 1.66535i
\(647\) 36.7638 26.1794i 1.44533 1.02922i 0.455001 0.890491i \(-0.349639\pi\)
0.990331 0.138726i \(-0.0443007\pi\)
\(648\) −0.428901 + 1.76795i −0.0168488 + 0.0694517i
\(649\) 26.9771 + 5.19942i 1.05895 + 0.204095i
\(650\) −9.51072 + 32.3905i −0.373041 + 1.27046i
\(651\) 1.37139 0.625908i 0.0537489 0.0245313i
\(652\) 9.32692 + 20.4231i 0.365270 + 0.799831i
\(653\) −8.09133 + 23.3784i −0.316638 + 0.914866i 0.668592 + 0.743630i \(0.266897\pi\)
−0.985230 + 0.171236i \(0.945224\pi\)
\(654\) 1.77143 0.913238i 0.0692685 0.0357104i
\(655\) −4.52841 + 5.75834i −0.176940 + 0.224997i
\(656\) 9.75086 + 24.3565i 0.380707 + 0.950960i
\(657\) −1.39551 + 2.17145i −0.0544439 + 0.0847163i
\(658\) −11.1565 5.75482i −0.434924 0.224346i
\(659\) −24.9811 + 11.4085i −0.973125 + 0.444411i −0.837553 0.546356i \(-0.816014\pi\)
−0.135572 + 0.990767i \(0.543287\pi\)
\(660\) −3.59188 1.85174i −0.139814 0.0720791i
\(661\) −16.6344 + 15.8609i −0.647003 + 0.616916i −0.940804 0.338951i \(-0.889928\pi\)
0.293802 + 0.955866i \(0.405080\pi\)
\(662\) 5.80928 + 16.7848i 0.225784 + 0.652360i
\(663\) −22.8773 21.8135i −0.888482 0.847165i
\(664\) −3.08924 + 6.76448i −0.119886 + 0.262513i
\(665\) −19.5079 + 11.2569i −0.756486 + 0.436524i
\(666\) 0.0604395i 0.00234198i
\(667\) −4.40820 + 6.91195i −0.170686 + 0.267632i
\(668\) −16.5156 9.53527i −0.639007 0.368931i
\(669\) −3.80480 1.52321i −0.147102 0.0588908i
\(670\) 1.31084 + 13.7278i 0.0506423 + 0.530350i
\(671\) 15.0706 + 51.3258i 0.581794 + 1.98141i
\(672\) 8.53344 + 9.85272i 0.329185 + 0.380077i
\(673\) 36.8523 + 10.8208i 1.42055 + 0.417111i 0.899690 0.436530i \(-0.143793\pi\)
0.520861 + 0.853641i \(0.325611\pi\)
\(674\) −1.28600 + 2.49450i −0.0495350 + 0.0960845i
\(675\) −0.336149 + 3.52031i −0.0129384 + 0.135497i
\(676\) −16.6005 + 3.19948i −0.638480 + 0.123057i
\(677\) 1.07274 22.5196i 0.0412287 0.865497i −0.879644 0.475633i \(-0.842219\pi\)
0.920872 0.389864i \(-0.127478\pi\)
\(678\) 1.66166 11.5571i 0.0638156 0.443847i
\(679\) 13.8477 + 14.5297i 0.531424 + 0.557600i
\(680\) −10.5105 6.75469i −0.403059 0.259031i
\(681\) −9.79209 3.38907i −0.375234 0.129870i
\(682\) 3.45960 + 0.330352i 0.132475 + 0.0126498i
\(683\) −0.0646907 1.35803i −0.00247532 0.0519634i 0.997292 0.0735475i \(-0.0234321\pi\)
−0.999767 + 0.0215841i \(0.993129\pi\)
\(684\) −1.55734 6.41945i −0.0595465 0.245454i
\(685\) −19.0767 16.5301i −0.728885 0.631582i
\(686\) −11.7795 29.4830i −0.449742 1.12567i
\(687\) 24.1369 + 11.0230i 0.920882 + 0.420553i
\(688\) 3.47428 + 4.41790i 0.132456 + 0.168431i
\(689\) 25.9617 44.9670i 0.989063 1.71311i
\(690\) 7.22240 + 6.83882i 0.274952 + 0.260350i
\(691\) −0.648090 + 0.374175i −0.0246545 + 0.0142343i −0.512277 0.858821i \(-0.671198\pi\)
0.487622 + 0.873055i \(0.337864\pi\)
\(692\) −18.2199 + 2.61963i −0.692617 + 0.0995833i
\(693\) 8.36829 4.31170i 0.317885 0.163788i
\(694\) 21.5982 6.34180i 0.819856 0.240731i
\(695\) −0.614891 + 3.19036i −0.0233241 + 0.121017i
\(696\) −2.14601 2.25067i −0.0813443 0.0853114i
\(697\) −29.7744 + 1.41833i −1.12779 + 0.0537231i
\(698\) 14.9954 + 10.6782i 0.567585 + 0.404175i
\(699\) −17.5725 + 15.2266i −0.664652 + 0.575924i
\(700\) 6.63677 + 5.75348i 0.250846 + 0.217461i
\(701\) −19.2362 2.76575i −0.726541 0.104461i −0.230886 0.972981i \(-0.574163\pi\)
−0.495654 + 0.868520i \(0.665072\pi\)
\(702\) −8.86225 + 3.54791i −0.334484 + 0.133907i
\(703\) 0.113676 + 0.220501i 0.00428738 + 0.00831635i
\(704\) −1.04170 5.40484i −0.0392605 0.203703i
\(705\) 1.94230 2.72758i 0.0731513 0.102727i
\(706\) −20.3540 31.6714i −0.766032 1.19197i
\(707\) −26.7272 + 2.54590i −1.00518 + 0.0957485i
\(708\) −4.74695 + 5.47827i −0.178401 + 0.205886i
\(709\) 4.13013 4.33156i 0.155110 0.162675i −0.641594 0.767045i \(-0.721726\pi\)
0.796704 + 0.604370i \(0.206575\pi\)
\(710\) 2.34267 + 3.28983i 0.0879190 + 0.123465i
\(711\) −4.23339 + 10.5745i −0.158765 + 0.396575i
\(712\) −5.36238 9.28792i −0.200964 0.348080i
\(713\) −2.54029 1.00676i −0.0951347 0.0377035i
\(714\) −23.9045 + 9.56349i −0.894602 + 0.357905i
\(715\) 3.41136 + 23.7265i 0.127577 + 0.887321i
\(716\) 13.6582 1.30420i 0.510431 0.0487403i
\(717\) −0.124553 0.0302163i −0.00465153 0.00112845i
\(718\) 4.14982 1.43627i 0.154870 0.0536010i
\(719\) −11.5660 + 2.80589i −0.431340 + 0.104642i −0.445550 0.895257i \(-0.646992\pi\)
0.0142102 + 0.999899i \(0.495477\pi\)
\(720\) −5.08503 + 3.26795i −0.189508 + 0.121789i
\(721\) −9.12452 31.1019i −0.339815 1.15829i
\(722\) −34.2525 39.5295i −1.27475 1.47113i
\(723\) 12.8752 + 0.613319i 0.478832 + 0.0228096i
\(724\) −4.72301 3.71421i −0.175529 0.138038i
\(725\) −4.75169 3.73677i −0.176473 0.138780i
\(726\) 2.84226 + 0.135394i 0.105486 + 0.00502493i
\(727\) 27.4700 + 31.7021i 1.01881 + 1.17576i 0.984326 + 0.176360i \(0.0564321\pi\)
0.0344803 + 0.999405i \(0.489022\pi\)
\(728\) 6.32499 26.0457i 0.234420 0.965317i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −5.20248 + 1.26211i −0.192552 + 0.0467127i
\(731\) −6.03445 + 2.08854i −0.223192 + 0.0772476i
\(732\) −13.7159 3.32745i −0.506956 0.122986i
\(733\) −7.03373 + 0.671640i −0.259797 + 0.0248076i −0.224142 0.974557i \(-0.571958\pi\)
−0.0356552 + 0.999364i \(0.511352\pi\)
\(734\) 1.21832 + 8.47361i 0.0449691 + 0.312767i
\(735\) 8.23097 1.99278i 0.303604 0.0735048i
\(736\) 2.16420 23.5275i 0.0797735 0.867237i
\(737\) −11.8290 20.4885i −0.435728 0.754704i
\(738\) −3.34566 + 8.35706i −0.123156 + 0.307628i
\(739\) −11.8352 16.6202i −0.435365 0.611384i 0.537358 0.843354i \(-0.319422\pi\)
−0.972723 + 0.231970i \(0.925483\pi\)
\(740\) −0.0276327 + 0.0289803i −0.00101580 + 0.00106534i
\(741\) −25.6591 + 29.6121i −0.942609 + 1.08783i
\(742\) −24.5237 34.4555i −0.900292 1.26490i
\(743\) 29.2944 + 45.5829i 1.07471 + 1.67228i 0.629986 + 0.776607i \(0.283061\pi\)
0.444721 + 0.895669i \(0.353303\pi\)
\(744\) 0.601255 0.844344i 0.0220431 0.0309552i
\(745\) −2.55220 13.2421i −0.0935054 0.485152i
\(746\) 8.25562 + 16.0137i 0.302260 + 0.586302i
\(747\) −3.79490 + 1.51925i −0.138848 + 0.0555864i
\(748\) −18.7682 2.69845i −0.686232 0.0986653i
\(749\) 21.0786 24.3146i 0.770196 0.888438i
\(750\) −13.3800 + 11.5938i −0.488567 + 0.423346i
\(751\) 14.2271 + 10.1310i 0.519153 + 0.369687i 0.809394 0.587266i \(-0.199796\pi\)
−0.290241 + 0.956954i \(0.593735\pi\)
\(752\) −13.8126 + 0.657976i −0.503694 + 0.0239939i
\(753\) 15.3258 + 16.0733i 0.558504 + 0.585742i
\(754\) 3.08821 16.0232i 0.112466 0.583529i
\(755\) 24.3811 7.15893i 0.887318 0.260540i
\(756\) −0.118757 + 2.48094i −0.00431915 + 0.0902309i
\(757\) 42.2554 6.07542i 1.53580 0.220815i 0.678102 0.734968i \(-0.262803\pi\)
0.857698 + 0.514153i \(0.171894\pi\)
\(758\) 39.3484 22.7178i 1.42920 0.825148i
\(759\) −16.1447 5.52503i −0.586015 0.200546i
\(760\) −7.74341 + 13.4120i −0.280883 + 0.486504i
\(761\) 20.4870 + 26.0514i 0.742654 + 0.944361i 0.999757 0.0220225i \(-0.00701054\pi\)
−0.257103 + 0.966384i \(0.582768\pi\)
\(762\) −9.37368 4.28081i −0.339572 0.155078i
\(763\) −2.41824 + 1.90082i −0.0875462 + 0.0688144i
\(764\) −11.3173 9.80647i −0.409444 0.354785i
\(765\) −1.61911 6.67406i −0.0585390 0.241301i
\(766\) −2.04400 42.9089i −0.0738529 1.55036i
\(767\) 42.8027 + 4.08716i 1.54551 + 0.147579i
\(768\) 17.3344 + 5.99951i 0.625503 + 0.216489i
\(769\) −32.3498 20.7899i −1.16656 0.749704i −0.193694 0.981062i \(-0.562047\pi\)
−0.972869 + 0.231357i \(0.925683\pi\)
\(770\) 18.7319 + 5.50488i 0.675050 + 0.198382i
\(771\) 1.60856 11.1878i 0.0579310 0.402919i
\(772\) −0.746264 + 15.6660i −0.0268586 + 0.563832i
\(773\) −8.54994 + 1.64787i −0.307520