Properties

Label 483.2.bf.a.61.9
Level $483$
Weight $2$
Character 483.61
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 61.9
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.9

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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 0.0152597 0.999884i \(-0.495143\pi\)
−0.968101 + 0.250561i \(0.919385\pi\)
\(3\) 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 −0.447831 0.894118i \(-0.647803\pi\)
−0.0834414 + 0.996513i \(0.526591\pi\)
\(6\) −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 0.331821 0.943342i \(-0.392337\pi\)
−0.994981 + 0.100066i \(0.968095\pi\)
\(12\) −0.348910 + 0.871534i −0.100722 + 0.251590i
\(13\) −3.01057 4.68454i −0.834982 1.29926i −0.951991 0.306127i \(-0.900967\pi\)
0.117008 0.993131i \(-0.462670\pi\)
\(14\) 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 0.00233765 0.999997i \(-0.499256\pi\)
−0.998753 + 0.0499168i \(0.984104\pi\)
\(18\) 0.560688 1.62000i 0.132156 0.381838i
\(19\) 5.09250 4.85569i 1.16830 1.11397i 0.176748 0.984256i \(-0.443442\pi\)
0.991551 0.129715i \(-0.0414061\pi\)
\(20\) −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 −0.125877 0.992046i \(-0.540174\pi\)
0.430446 + 0.902616i \(0.358356\pi\)
\(30\) 0.950355 + 1.84343i 0.173510 + 0.336563i
\(31\) −0.0541600 0.567190i −0.00972743 0.101870i 0.989304 0.145867i \(-0.0465970\pi\)
−0.999032 + 0.0439964i \(0.985991\pi\)
\(32\) −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 −0.324328 0.945945i \(-0.605138\pi\)
0.329805 + 0.944049i \(0.393017\pi\)
\(38\) −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 −0.287388 0.957814i \(-0.592787\pi\)
0.907166 + 0.420774i \(0.138241\pi\)
\(42\) 4.21030 1.68668i 0.649663 0.260260i
\(43\) 1.02326 0.467307i 0.156046 0.0712636i −0.335861 0.941911i \(-0.609027\pi\)
0.491907 + 0.870648i \(0.336300\pi\)
\(44\) 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 0.314894 0.949127i \(-0.398031\pi\)
−0.664521 + 0.747269i \(0.731364\pi\)
\(48\) 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 −0.603136 0.797638i \(-0.706082\pi\)
−0.676225 + 0.736695i \(0.736385\pi\)
\(54\) 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 0.538085 + 0.842891i \(0.319148\pi\)
−0.998718 + 0.0506140i \(0.983882\pi\)
\(60\) 0.214944 1.11523i 0.0277491 0.143976i
\(61\) 8.72067 + 12.2465i 1.11657 + 1.56800i 0.779369 + 0.626566i \(0.215540\pi\)
0.337198 + 0.941434i \(0.390521\pi\)
\(62\) −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 −0.999299 0.0374406i \(-0.988080\pi\)
0.697390 0.716692i \(-0.254345\pi\)
\(68\) 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 −0.966746 0.255737i \(-0.917682\pi\)
0.999636 + 0.0269859i \(0.00859093\pi\)
\(72\) −1.81100 0.172929i −0.213428 0.0203799i
\(73\) −2.50845 + 0.608543i −0.293591 + 0.0712245i −0.379849 0.925048i \(-0.624024\pi\)
0.0862580 + 0.996273i \(0.472509\pi\)
\(74\) −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 −0.676566 0.736382i \(-0.736533\pi\)
−0.603505 + 0.797359i \(0.706230\pi\)
\(80\) −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 −0.883399 0.468622i \(-0.844751\pi\)
0.589573 + 0.807715i \(0.299296\pi\)
\(84\) −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 0.401328 0.915934i \(-0.368549\pi\)
0.220734 + 0.975334i \(0.429155\pi\)
\(90\) −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 0.445237 0.895413i \(-0.353119\pi\)
−0.949662 + 0.313275i \(0.898574\pi\)
\(98\) 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 0.752052 + 0.659103i \(0.229064\pi\)
−0.943145 + 0.332381i \(0.892148\pi\)
\(102\) −4.45913 + 8.64950i −0.441519 + 0.856428i
\(103\) 11.3733 + 4.55318i 1.12064 + 0.448638i 0.856656 0.515887i \(-0.172538\pi\)
0.263988 + 0.964526i \(0.414962\pi\)
\(104\) 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 0.00966637 0.999953i \(-0.496923\pi\)
0.948118 + 0.317918i \(0.102984\pi\)
\(108\) −0.937718 0.0446690i −0.0902319 0.00429828i
\(109\) −0.802267 + 0.841393i −0.0768432 + 0.0805908i −0.761033 0.648713i \(-0.775308\pi\)
0.684190 + 0.729304i \(0.260156\pi\)
\(110\) −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 −0.182285 0.983246i \(-0.558349\pi\)
−0.451914 + 0.892062i \(0.649258\pi\)
\(114\) −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 −0.991925 0.126829i \(-0.959520\pi\)
0.916013 0.401149i \(-0.131389\pi\)
\(128\) 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 0.978385 0.206790i \(-0.0663018\pi\)
−0.735966 + 0.677019i \(0.763271\pi\)
\(132\) 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 0.545143 0.838343i \(-0.316475\pi\)
0.998598 0.0529366i \(-0.0168581\pi\)
\(138\) −6.93170 + 4.42080i −0.590066 + 0.376324i
\(139\) 2.68557i 0.227787i 0.993493 + 0.113894i \(0.0363323\pi\)
−0.993493 + 0.113894i \(0.963668\pi\)
\(140\) 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 −0.656246 0.754547i \(-0.727857\pi\)
0.995645 0.0932292i \(-0.0297189\pi\)
\(150\) 3.74745 + 4.76527i 0.305978 + 0.389083i
\(151\) −18.6685 9.62430i −1.51922 0.783214i −0.521672 0.853146i \(-0.674692\pi\)
−0.997552 + 0.0699315i \(0.977722\pi\)
\(152\) 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 −0.878662 0.477445i \(-0.841563\pi\)
0.562208 0.826996i \(-0.309952\pi\)
\(158\) 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 −0.952795 0.303615i \(-0.901806\pi\)
−0.519687 0.854357i \(-0.673951\pi\)
\(164\) 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 0.814646 + 0.579958i \(0.196931\pi\)
−0.371775 + 0.928323i \(0.621251\pi\)
\(168\) −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 0.341871 + 0.939747i \(0.388939\pi\)
−0.895923 + 0.444209i \(0.853485\pi\)
\(174\) −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 −0.612949 0.790122i \(-0.710017\pi\)
0.970232 0.242178i \(-0.0778618\pi\)
\(180\) 0.821988 0.783764i 0.0612674 0.0584183i
\(181\) 2.65879 + 5.82195i 0.197627 + 0.432742i 0.982337 0.187121i \(-0.0599156\pi\)
−0.784710 + 0.619863i \(0.787188\pi\)
\(182\) −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 0.990331 + 0.138728i \(0.0443013\pi\)
−0.461444 + 0.887170i \(0.652668\pi\)
\(192\) −0.147051 1.53999i −0.0106125 0.111139i
\(193\) −16.4046 3.16173i −1.18083 0.227587i −0.439197 0.898391i \(-0.644737\pi\)
−0.741634 + 0.670804i \(0.765949\pi\)
\(194\) 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 −0.533969 0.845504i \(-0.679300\pi\)
0.547279 + 0.836950i \(0.315664\pi\)
\(198\) −5.76408 + 1.99497i −0.409636 + 0.141776i
\(199\) −11.8937 + 1.13571i −0.843123 + 0.0805085i −0.507673 0.861550i \(-0.669494\pi\)
−0.335450 + 0.942058i \(0.608888\pi\)
\(200\) 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 0.847683 0.530502i \(-0.177997\pi\)
0.426305 + 0.904579i \(0.359815\pi\)
\(212\) −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 −0.907484 0.420086i \(-0.862000\pi\)
0.759107 + 0.650966i \(0.225636\pi\)
\(224\) 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 −0.964366 0.264570i \(-0.914770\pi\)
0.565433 + 0.824794i \(0.308709\pi\)
\(228\) 2.45508 + 6.13248i 0.162591 + 0.406133i
\(229\) 13.2674 22.9799i 0.876736 1.51855i 0.0218343 0.999762i \(-0.493049\pi\)
0.854902 0.518790i \(-0.173617\pi\)
\(230\) 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 −0.696589 0.717470i \(-0.745300\pi\)
−0.819783 + 0.572674i \(0.805906\pi\)
\(234\) −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 −0.758458 0.651722i \(-0.774047\pi\)
0.753029 + 0.657988i \(0.228592\pi\)
\(240\) −6.03774 + 0.287613i −0.389734 + 0.0185653i
\(241\) 10.1320 7.96792i 0.652661 0.513259i −0.236041 0.971743i \(-0.575850\pi\)
0.888702 + 0.458484i \(0.151608\pi\)
\(242\) 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 −0.606247 0.795276i \(-0.707326\pi\)
0.805745 0.592262i \(-0.201765\pi\)
\(252\) −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 0.920543 0.390642i \(-0.127747\pi\)
−0.434001 + 0.900912i \(0.642899\pi\)
\(258\) −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 −0.937755 0.347298i \(-0.887099\pi\)
0.826852 + 0.562420i \(0.190130\pi\)
\(264\) 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 0.585665 0.810553i \(-0.300833\pi\)
0.505965 + 0.862554i \(0.331137\pi\)
\(270\) −1.43121 + 1.50101i −0.0871009 + 0.0913488i
\(271\) −5.67271 29.4328i −0.344592 1.78792i −0.578527 0.815663i \(-0.696372\pi\)
0.233934 0.972252i \(-0.424840\pi\)
\(272\) −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 0.791644 + 0.610982i \(0.209225\pi\)
0.133304 + 0.991075i \(0.457441\pi\)
\(278\) 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 −0.309617 0.950861i \(-0.600201\pi\)
0.897120 + 0.441787i \(0.145655\pi\)
\(282\) −1.11860 + 4.61094i −0.0666118 + 0.274578i
\(283\) −0.406332 + 8.52995i −0.0241539 + 0.507053i 0.954081 + 0.299550i \(0.0968366\pi\)
−0.978234 + 0.207503i \(0.933466\pi\)
\(284\) 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 0.255915 0.966699i \(-0.417623\pi\)
0.737926 + 0.674881i \(0.235805\pi\)
\(294\) 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 0.407297 0.913296i \(-0.366471\pi\)
−0.423500 + 0.905896i \(0.639199\pi\)
\(308\) 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 0.690944 0.722908i \(-0.257195\pi\)
−0.865427 + 0.501035i \(0.832953\pi\)
\(312\) 9.00430 + 4.64204i 0.509768 + 0.262804i
\(313\) −5.29121 15.2880i −0.299077 0.864126i −0.989984 0.141182i \(-0.954910\pi\)
0.690907 0.722944i \(-0.257212\pi\)
\(314\) −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 −0.0840926 0.996458i \(-0.526799\pi\)
0.292277 + 0.956334i \(0.405587\pi\)
\(318\) 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 0.999012 0.0444437i \(-0.0141515\pi\)
−0.812750 + 0.582613i \(0.802030\pi\)
\(332\) −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 0.455562 0.890204i \(-0.349438\pi\)
−0.374442 + 0.927250i \(0.622166\pi\)
\(338\) 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 −0.675016 0.737803i \(-0.735863\pi\)
0.0206103 + 0.999788i \(0.493439\pi\)
\(348\) −0.152542 + 1.59749i −0.00817709 + 0.0856343i
\(349\) −3.02538 + 10.3035i −0.161945 + 0.551534i 0.838037 + 0.545613i \(0.183703\pi\)
−0.999982 + 0.00592144i \(0.998115\pi\)
\(350\) −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 −0.863317 0.504661i \(-0.831617\pi\)
0.752208 0.658925i \(-0.228989\pi\)
\(354\) 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 −0.390200 0.920730i \(-0.627594\pi\)
0.262439 + 0.964948i \(0.415473\pi\)
\(360\) 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 0.923806 0.382860i \(-0.125061\pi\)
−0.793470 + 0.608609i \(0.791728\pi\)
\(368\) −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 0.996376 + 0.0850546i \(0.0271065\pi\)
−0.893392 + 0.449278i \(0.851681\pi\)
\(374\) 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 −0.778036 0.628220i \(-0.783784\pi\)
−0.569530 + 0.821970i \(0.692875\pi\)
\(380\) −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 −0.997115 0.0759082i \(-0.975814\pi\)
0.254391 0.967101i \(-0.418125\pi\)
\(384\) −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 0.948143 + 0.317845i \(0.102959\pi\)
−0.466865 + 0.884329i \(0.654617\pi\)
\(390\) 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 0.785945 0.618296i \(-0.212177\pi\)
0.415256 + 0.909704i \(0.363692\pi\)
\(398\) 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 0.479486 0.877549i \(-0.340823\pi\)
0.560731 + 0.827998i \(0.310520\pi\)
\(402\) −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 0.979225 0.202778i \(-0.0649971\pi\)
0.644373 + 0.764711i \(0.277118\pi\)
\(410\) 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 −0.983728 0.179664i \(-0.942499\pi\)
−0.0378363 0.999284i \(-0.512047\pi\)
\(420\) 2.99140 + 0.284945i 0.145965 + 0.0139039i
\(421\) 10.7264 16.6906i 0.522774 0.813452i −0.475011 0.879980i \(-0.657556\pi\)
0.997785 + 0.0665281i \(0.0211922\pi\)
\(422\) −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 −0.599815 0.800139i \(-0.704759\pi\)
0.827773 + 0.561064i \(0.189608\pi\)
\(432\) 0.945547 + 4.90596i 0.0454926 + 0.236038i
\(433\) 25.3088 + 7.43132i 1.21626 + 0.357126i 0.826049 0.563599i \(-0.190583\pi\)
0.390212 + 0.920725i \(0.372402\pi\)
\(434\) −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 −0.857529 0.514435i \(-0.828002\pi\)
0.702104 + 0.712074i \(0.252244\pi\)
\(440\) −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 0.704013 + 0.710187i \(0.251390\pi\)
−0.951178 + 0.308642i \(0.900126\pi\)
\(444\) −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 −0.981031 0.193849i \(-0.937903\pi\)
0.886679 0.462385i \(-0.153006\pi\)
\(450\) 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 −0.992762 0.120097i \(-0.961679\pi\)
0.997550 + 0.0699546i \(0.0222855\pi\)
\(458\) −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 \(0.100164\pi\)
−0.950897 + 0.309507i \(0.899836\pi\)
\(462\) −13.9777 8.06572i −0.650302 0.375251i
\(463\) −6.05486 13.2583i −0.281393 0.616165i 0.715175 0.698946i \(-0.246347\pi\)
−0.996568 + 0.0827807i \(0.973620\pi\)
\(464\) 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 −0.125968 0.992034i \(-0.540204\pi\)
0.735018 + 0.678047i \(0.237174\pi\)
\(468\) 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 0.945014 0.327029i \(-0.106048\pi\)
−0.989816 + 0.142355i \(0.954532\pi\)
\(480\) 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 0.977177 + 0.212429i \(0.0681374\pi\)
−0.771209 + 0.636583i \(0.780347\pi\)
\(488\) −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 −0.297602 0.954690i \(-0.596187\pi\)
0.916394 0.400277i \(-0.131086\pi\)
\(492\) 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 −0.778664 0.627442i \(-0.784102\pi\)
0.0594296 + 0.998232i \(0.481072\pi\)
\(500\) 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 0.854343 + 0.519709i \(0.173960\pi\)
−0.166706 + 0.986007i \(0.553313\pi\)
\(504\) −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 −0.997611 0.0690747i \(-0.977995\pi\)
0.992656 + 0.120973i \(0.0386014\pi\)
\(510\) 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 −0.328815 0.944394i \(-0.606649\pi\)
−0.144145 + 0.989557i \(0.546043\pi\)
\(522\) 0.139434 2.92709i 0.00610288 0.128115i
\(523\) −4.07466 + 16.7960i −0.178172 + 0.734436i 0.810674 + 0.585497i \(0.199101\pi\)
−0.988846 + 0.148938i \(0.952414\pi\)
\(524\) −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 0.943859 0.330348i \(-0.107166\pi\)
0.455137 + 0.890422i \(0.349590\pi\)
\(542\) −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 −0.993230 0.116165i \(-0.962940\pi\)
0.0263687 0.999652i \(-0.491606\pi\)
\(548\) 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 0.876833 0.480796i \(-0.159652\pi\)
0.392029 + 0.919953i \(0.371773\pi\)
\(558\) −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 −0.0208315 0.999783i \(-0.506631\pi\)
0.966689 + 0.255952i \(0.0823889\pi\)
\(564\) 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 0.442198 0.896917i \(-0.354199\pi\)
−0.0179496 + 0.999839i \(0.505714\pi\)
\(570\) 13.7908 + 4.77304i 0.577633 + 0.199921i
\(571\) −9.65778 + 2.34295i −0.404165 + 0.0980495i −0.432688 0.901544i \(-0.642435\pi\)
0.0285227 + 0.999593i \(0.490920\pi\)
\(572\) −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 0.994617 0.103621i \(-0.0330431\pi\)
−0.791345 + 0.611370i \(0.790619\pi\)
\(578\) 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 −0.0652915 0.997866i \(-0.520798\pi\)
0.218485 + 0.975840i \(0.429889\pi\)
\(588\) 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 0.999615 0.0277287i \(-0.00882746\pi\)
−0.938317 + 0.345777i \(0.887615\pi\)
\(594\) −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 0.743581 0.668646i \(-0.233126\pi\)
−0.950855 + 0.309637i \(0.899793\pi\)
\(600\) 3.97687 5.05700i 0.162355 0.206451i
\(601\) −19.5280 + 8.91812i −0.796562 + 0.363778i −0.771760 0.635914i \(-0.780623\pi\)
−0.0248029 + 0.999692i \(0.507896\pi\)
\(602\) 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 −0.248928 0.968522i \(-0.580078\pi\)
0.403030 + 0.915187i \(0.367957\pi\)
\(608\) −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 −0.822557 0.568682i \(-0.807454\pi\)
0.700069 0.714075i \(-0.253153\pi\)
\(614\) 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 −0.467007 0.884254i \(-0.654668\pi\)
0.870935 0.491399i \(-0.163514\pi\)
\(618\) 1.99632 20.9064i 0.0803037 0.840978i
\(619\) 4.80748 1.92463i 0.193229 0.0773572i −0.273030 0.962006i \(-0.588026\pi\)
0.466259 + 0.884648i \(0.345602\pi\)
\(620\) −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 0.953285 0.302074i \(-0.0976789\pi\)
−0.670785 + 0.741652i \(0.734043\pi\)
\(632\) 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 0.173302 0.984869i \(-0.444556\pi\)
−0.874020 + 0.485890i \(0.838496\pi\)
\(642\) −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 0.990331 + 0.138726i \(0.0443007\pi\)
0.455001 + 0.890491i \(0.349639\pi\)
\(648\) −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 −0.985230 0.171236i \(-0.945224\pi\)
0.668592 0.743630i \(-0.266897\pi\)
\(654\) 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 −0.135572 0.990767i \(-0.543287\pi\)
−0.837553 + 0.546356i \(0.816014\pi\)
\(660\) −3.59188 + 1.85174i −0.139814 + 0.0720791i
\(661\) −16.6344 15.8609i −0.647003 0.616916i 0.293802 0.955866i \(-0.405080\pi\)
−0.940804 + 0.338951i \(0.889928\pi\)
\(662\) 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 0.520861 0.853641i \(-0.325611\pi\)
0.899690 + 0.436530i \(0.143793\pi\)
\(674\) −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 0.920872 + 0.389864i \(0.127478\pi\)
−0.879644 + 0.475633i \(0.842219\pi\)
\(678\) 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 −0.999767 0.0215841i \(-0.993129\pi\)
0.997292 + 0.0735475i \(0.0234321\pi\)
\(684\) −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 0.487622 0.873055i \(-0.337864\pi\)
−0.512277 + 0.858821i \(0.671198\pi\)
\(692\) −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 −0.495654 0.868520i \(-0.665072\pi\)
−0.230886 + 0.972981i \(0.574163\pi\)
\(702\) −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 0.796704 0.604370i \(-0.206575\pi\)
−0.641594 + 0.767045i \(0.721726\pi\)
\(710\) 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 0.0142102 0.999899i \(-0.495477\pi\)
−0.445550 + 0.895257i \(0.646992\pi\)
\(720\) −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 0.0344803 0.999405i \(-0.489022\pi\)
0.984326 0.176360i \(-0.0564321\pi\)
\(728\) 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 −0.0356552 0.999364i \(-0.511352\pi\)
−0.224142 + 0.974557i \(0.571958\pi\)
\(734\) 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 −0.972723 0.231970i \(-0.925483\pi\)
0.537358 + 0.843354i \(0.319422\pi\)
\(740\) −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 0.444721 0.895669i \(-0.353303\pi\)
0.629986 0.776607i \(-0.283061\pi\)
\(744\) 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 −0.290241 0.956954i \(-0.593735\pi\)
0.809394 + 0.587266i \(0.199796\pi\)
\(752\) −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 0.857698 0.514153i \(-0.171894\pi\)
0.678102 + 0.734968i \(0.262803\pi\)
\(758\) 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 −0.257103 0.966384i \(-0.582768\pi\)
0.999757 + 0.0220225i \(0.00701054\pi\)
\(762\) −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 −0.972869 0.231357i \(-0.925683\pi\)
−0.193694 + 0.981062i \(0.562047\pi\)
\(770\) 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