Properties

Label 588.2.x.b.139.3
Level $588$
Weight $2$
Character 588.139
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 139.3
Character \(\chi\) \(=\) 588.139
Dual form 588.2.x.b.55.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37146 - 0.345091i) q^{2} +(0.900969 - 0.433884i) q^{3} +(1.76182 + 0.946559i) q^{4} +(1.63442 + 3.39390i) q^{5} +(-1.38538 + 0.284140i) q^{6} +(-0.364664 + 2.62050i) q^{7} +(-2.08963 - 1.90616i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.37146 - 0.345091i) q^{2} +(0.900969 - 0.433884i) q^{3} +(1.76182 + 0.946559i) q^{4} +(1.63442 + 3.39390i) q^{5} +(-1.38538 + 0.284140i) q^{6} +(-0.364664 + 2.62050i) q^{7} +(-2.08963 - 1.90616i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-1.07034 - 5.21863i) q^{10} +(3.48475 - 2.77900i) q^{11} +(1.99805 + 0.0883928i) q^{12} +(0.0601076 - 0.0479342i) q^{13} +(1.40443 - 3.46808i) q^{14} +(2.94511 + 2.34865i) q^{15} +(2.20805 + 3.33534i) q^{16} +(-5.54435 + 1.26546i) q^{17} +(-1.12490 + 0.857093i) q^{18} +8.34358 q^{19} +(-0.332970 + 7.52652i) q^{20} +(0.808442 + 2.51921i) q^{21} +(-5.73821 + 2.60874i) q^{22} +(-6.27198 - 1.43154i) q^{23} +(-2.70974 - 0.810734i) q^{24} +(-5.72978 + 7.18492i) q^{25} +(-0.0989770 + 0.0449974i) q^{26} +(0.222521 - 0.974928i) q^{27} +(-3.12293 + 4.27169i) q^{28} +(1.35757 + 5.94790i) q^{29} +(-3.22862 - 4.23742i) q^{30} +0.0893613 q^{31} +(-1.87727 - 5.33628i) q^{32} +(1.93389 - 4.01576i) q^{33} +(8.04057 + 0.177769i) q^{34} +(-9.48972 + 3.04535i) q^{35} +(1.83853 - 0.787280i) q^{36} +(1.67314 + 7.33048i) q^{37} +(-11.4429 - 2.87929i) q^{38} +(0.0333572 - 0.0692669i) q^{39} +(3.05399 - 10.2074i) q^{40} +(-2.59948 - 5.39787i) q^{41} +(-0.239392 - 3.73399i) q^{42} +(1.87459 - 3.89263i) q^{43} +(8.77000 - 1.59758i) q^{44} +(3.67250 + 0.838224i) q^{45} +(8.10778 + 4.12771i) q^{46} +(0.265244 + 0.332606i) q^{47} +(3.43654 + 2.04700i) q^{48} +(-6.73404 - 1.91120i) q^{49} +(10.3376 - 7.87656i) q^{50} +(-4.44622 + 3.54574i) q^{51} +(0.151272 - 0.0275563i) q^{52} +(-1.25947 + 5.51810i) q^{53} +(-0.641618 + 1.26029i) q^{54} +(15.1272 + 7.28485i) q^{55} +(5.75711 - 4.78077i) q^{56} +(7.51730 - 3.62014i) q^{57} +(0.190708 - 8.62582i) q^{58} +(3.16168 + 1.52258i) q^{59} +(2.96564 + 6.92563i) q^{60} +(9.24207 - 2.10944i) q^{61} +(-0.122556 - 0.0308377i) q^{62} +(1.82143 + 1.91896i) q^{63} +(0.733107 + 7.96634i) q^{64} +(0.260925 + 0.125655i) q^{65} +(-4.03806 + 4.84011i) q^{66} +0.257085i q^{67} +(-10.9660 - 3.01853i) q^{68} +(-6.27198 + 1.43154i) q^{69} +(14.0657 - 0.901776i) q^{70} +(-8.57858 - 1.95800i) q^{71} +(-2.79316 + 0.445267i) q^{72} +(-1.62689 - 1.29740i) q^{73} +(0.235038 - 10.6309i) q^{74} +(-2.04494 + 8.95945i) q^{75} +(14.6999 + 7.89769i) q^{76} +(6.01159 + 10.1452i) q^{77} +(-0.0696516 + 0.0834858i) q^{78} -3.00184i q^{79} +(-7.71093 + 12.9452i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(1.70233 + 8.30004i) q^{82} +(9.36338 - 11.7413i) q^{83} +(-0.960248 + 5.20365i) q^{84} +(-13.3566 - 16.7487i) q^{85} +(-3.91425 + 4.69170i) q^{86} +(3.80383 + 4.76985i) q^{87} +(-12.5790 - 0.835419i) q^{88} +(6.00822 + 4.79140i) q^{89} +(-4.74743 - 2.41694i) q^{90} +(0.103693 + 0.174992i) q^{91} +(-9.69510 - 8.45892i) q^{92} +(0.0805117 - 0.0387724i) q^{93} +(-0.248994 - 0.547690i) q^{94} +(13.6369 + 28.3173i) q^{95} +(-4.00669 - 3.99330i) q^{96} -1.98364i q^{97} +(8.57595 + 4.94500i) q^{98} -4.45716i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37146 0.345091i −0.969771 0.244016i
\(3\) 0.900969 0.433884i 0.520175 0.250503i
\(4\) 1.76182 + 0.946559i 0.880912 + 0.473279i
\(5\) 1.63442 + 3.39390i 0.730933 + 1.51780i 0.851077 + 0.525041i \(0.175950\pi\)
−0.120144 + 0.992756i \(0.538336\pi\)
\(6\) −1.38538 + 0.284140i −0.565577 + 0.116000i
\(7\) −0.364664 + 2.62050i −0.137830 + 0.990456i
\(8\) −2.08963 1.90616i −0.738796 0.673929i
\(9\) 0.623490 0.781831i 0.207830 0.260610i
\(10\) −1.07034 5.21863i −0.338471 1.65028i
\(11\) 3.48475 2.77900i 1.05069 0.837899i 0.0635872 0.997976i \(-0.479746\pi\)
0.987104 + 0.160078i \(0.0511745\pi\)
\(12\) 1.99805 + 0.0883928i 0.576786 + 0.0255168i
\(13\) 0.0601076 0.0479342i 0.0166708 0.0132946i −0.615119 0.788434i \(-0.710892\pi\)
0.631790 + 0.775140i \(0.282321\pi\)
\(14\) 1.40443 3.46808i 0.375351 0.926883i
\(15\) 2.94511 + 2.34865i 0.760425 + 0.606419i
\(16\) 2.20805 + 3.33534i 0.552013 + 0.833835i
\(17\) −5.54435 + 1.26546i −1.34470 + 0.306920i −0.833490 0.552535i \(-0.813661\pi\)
−0.511212 + 0.859454i \(0.670803\pi\)
\(18\) −1.12490 + 0.857093i −0.265141 + 0.202019i
\(19\) 8.34358 1.91415 0.957074 0.289843i \(-0.0936032\pi\)
0.957074 + 0.289843i \(0.0936032\pi\)
\(20\) −0.332970 + 7.52652i −0.0744545 + 1.68298i
\(21\) 0.808442 + 2.51921i 0.176416 + 0.549737i
\(22\) −5.73821 + 2.60874i −1.22339 + 0.556184i
\(23\) −6.27198 1.43154i −1.30780 0.298496i −0.488852 0.872367i \(-0.662584\pi\)
−0.818946 + 0.573870i \(0.805441\pi\)
\(24\) −2.70974 0.810734i −0.553124 0.165490i
\(25\) −5.72978 + 7.18492i −1.14596 + 1.43698i
\(26\) −0.0989770 + 0.0449974i −0.0194110 + 0.00882472i
\(27\) 0.222521 0.974928i 0.0428242 0.187625i
\(28\) −3.12293 + 4.27169i −0.590178 + 0.807273i
\(29\) 1.35757 + 5.94790i 0.252094 + 1.10450i 0.929481 + 0.368870i \(0.120255\pi\)
−0.677386 + 0.735627i \(0.736888\pi\)
\(30\) −3.22862 4.23742i −0.589463 0.773643i
\(31\) 0.0893613 0.0160498 0.00802488 0.999968i \(-0.497446\pi\)
0.00802488 + 0.999968i \(0.497446\pi\)
\(32\) −1.87727 5.33628i −0.331858 0.943330i
\(33\) 1.93389 4.01576i 0.336647 0.699055i
\(34\) 8.04057 + 0.177769i 1.37895 + 0.0304871i
\(35\) −9.48972 + 3.04535i −1.60406 + 0.514759i
\(36\) 1.83853 0.787280i 0.306422 0.131213i
\(37\) 1.67314 + 7.33048i 0.275062 + 1.20512i 0.903953 + 0.427631i \(0.140652\pi\)
−0.628892 + 0.777493i \(0.716491\pi\)
\(38\) −11.4429 2.87929i −1.85629 0.467083i
\(39\) 0.0333572 0.0692669i 0.00534143 0.0110916i
\(40\) 3.05399 10.2074i 0.482878 1.61394i
\(41\) −2.59948 5.39787i −0.405970 0.843006i −0.999277 0.0380290i \(-0.987892\pi\)
0.593307 0.804977i \(-0.297822\pi\)
\(42\) −0.239392 3.73399i −0.0369390 0.576167i
\(43\) 1.87459 3.89263i 0.285873 0.593621i −0.707739 0.706474i \(-0.750285\pi\)
0.993612 + 0.112853i \(0.0359990\pi\)
\(44\) 8.77000 1.59758i 1.32213 0.240845i
\(45\) 3.67250 + 0.838224i 0.547464 + 0.124955i
\(46\) 8.10778 + 4.12771i 1.19543 + 0.608597i
\(47\) 0.265244 + 0.332606i 0.0386899 + 0.0485155i 0.800800 0.598932i \(-0.204408\pi\)
−0.762110 + 0.647447i \(0.775837\pi\)
\(48\) 3.43654 + 2.04700i 0.496021 + 0.295459i
\(49\) −6.73404 1.91120i −0.962006 0.273029i
\(50\) 10.3376 7.87656i 1.46196 1.11391i
\(51\) −4.44622 + 3.54574i −0.622596 + 0.496504i
\(52\) 0.151272 0.0275563i 0.0209776 0.00382137i
\(53\) −1.25947 + 5.51810i −0.173002 + 0.757969i 0.811750 + 0.584005i \(0.198515\pi\)
−0.984752 + 0.173965i \(0.944342\pi\)
\(54\) −0.641618 + 1.26029i −0.0873131 + 0.171504i
\(55\) 15.1272 + 7.28485i 2.03974 + 0.982289i
\(56\) 5.75711 4.78077i 0.769326 0.638857i
\(57\) 7.51730 3.62014i 0.995691 0.479500i
\(58\) 0.190708 8.62582i 0.0250412 1.13263i
\(59\) 3.16168 + 1.52258i 0.411616 + 0.198224i 0.628220 0.778036i \(-0.283784\pi\)
−0.216604 + 0.976260i \(0.569498\pi\)
\(60\) 2.96564 + 6.92563i 0.382862 + 0.894095i
\(61\) 9.24207 2.10944i 1.18333 0.270086i 0.414805 0.909910i \(-0.363850\pi\)
0.768521 + 0.639824i \(0.220993\pi\)
\(62\) −0.122556 0.0308377i −0.0155646 0.00391640i
\(63\) 1.82143 + 1.91896i 0.229478 + 0.241766i
\(64\) 0.733107 + 7.96634i 0.0916384 + 0.995792i
\(65\) 0.260925 + 0.125655i 0.0323637 + 0.0155855i
\(66\) −4.03806 + 4.84011i −0.497051 + 0.595776i
\(67\) 0.257085i 0.0314079i 0.999877 + 0.0157039i \(0.00499893\pi\)
−0.999877 + 0.0157039i \(0.995001\pi\)
\(68\) −10.9660 3.01853i −1.32982 0.366051i
\(69\) −6.27198 + 1.43154i −0.755058 + 0.172337i
\(70\) 14.0657 0.901776i 1.68118 0.107783i
\(71\) −8.57858 1.95800i −1.01809 0.232372i −0.319265 0.947665i \(-0.603436\pi\)
−0.698825 + 0.715293i \(0.746293\pi\)
\(72\) −2.79316 + 0.445267i −0.329177 + 0.0524752i
\(73\) −1.62689 1.29740i −0.190413 0.151849i 0.523643 0.851938i \(-0.324572\pi\)
−0.714056 + 0.700088i \(0.753144\pi\)
\(74\) 0.235038 10.6309i 0.0273226 1.23581i
\(75\) −2.04494 + 8.95945i −0.236129 + 1.03455i
\(76\) 14.6999 + 7.89769i 1.68620 + 0.905927i
\(77\) 6.01159 + 10.1452i 0.685085 + 1.15615i
\(78\) −0.0696516 + 0.0834858i −0.00788649 + 0.00945291i
\(79\) 3.00184i 0.337733i −0.985639 0.168867i \(-0.945989\pi\)
0.985639 0.168867i \(-0.0540107\pi\)
\(80\) −7.71093 + 12.9452i −0.862108 + 1.44732i
\(81\) −0.222521 0.974928i −0.0247245 0.108325i
\(82\) 1.70233 + 8.30004i 0.187991 + 0.916586i
\(83\) 9.36338 11.7413i 1.02776 1.28878i 0.0711357 0.997467i \(-0.477338\pi\)
0.956629 0.291309i \(-0.0940909\pi\)
\(84\) −0.960248 + 5.20365i −0.104772 + 0.567764i
\(85\) −13.3566 16.7487i −1.44873 1.81665i
\(86\) −3.91425 + 4.69170i −0.422084 + 0.505919i
\(87\) 3.80383 + 4.76985i 0.407813 + 0.511381i
\(88\) −12.5790 0.835419i −1.34093 0.0890560i
\(89\) 6.00822 + 4.79140i 0.636870 + 0.507887i 0.887867 0.460101i \(-0.152187\pi\)
−0.250997 + 0.967988i \(0.580758\pi\)
\(90\) −4.74743 2.41694i −0.500423 0.254768i
\(91\) 0.103693 + 0.174992i 0.0108699 + 0.0183441i
\(92\) −9.69510 8.45892i −1.01078 0.881903i
\(93\) 0.0805117 0.0387724i 0.00834868 0.00402051i
\(94\) −0.248994 0.547690i −0.0256817 0.0564899i
\(95\) 13.6369 + 28.3173i 1.39911 + 2.90529i
\(96\) −4.00669 3.99330i −0.408931 0.407565i
\(97\) 1.98364i 0.201408i −0.994916 0.100704i \(-0.967891\pi\)
0.994916 0.100704i \(-0.0321095\pi\)
\(98\) 8.57595 + 4.94500i 0.866302 + 0.499520i
\(99\) 4.45716i 0.447962i
\(100\) −16.8958 + 7.23499i −1.68958 + 0.723499i
\(101\) −2.35672 4.89378i −0.234502 0.486949i 0.750196 0.661215i \(-0.229959\pi\)
−0.984699 + 0.174266i \(0.944245\pi\)
\(102\) 7.32144 3.32851i 0.724930 0.329572i
\(103\) −5.06447 + 2.43892i −0.499017 + 0.240314i −0.666423 0.745574i \(-0.732175\pi\)
0.167405 + 0.985888i \(0.446461\pi\)
\(104\) −0.216973 0.0144099i −0.0212759 0.00141301i
\(105\) −7.22861 + 6.86120i −0.705441 + 0.669585i
\(106\) 3.63156 7.13324i 0.352728 0.692841i
\(107\) 1.97319 + 1.57357i 0.190755 + 0.152122i 0.714211 0.699931i \(-0.246786\pi\)
−0.523455 + 0.852053i \(0.675357\pi\)
\(108\) 1.31487 1.50702i 0.126523 0.145013i
\(109\) −5.78930 7.25955i −0.554514 0.695339i 0.423019 0.906121i \(-0.360970\pi\)
−0.977533 + 0.210782i \(0.932399\pi\)
\(110\) −18.2324 15.2112i −1.73839 1.45033i
\(111\) 4.68802 + 5.87859i 0.444967 + 0.557971i
\(112\) −9.54546 + 4.56993i −0.901961 + 0.431817i
\(113\) 12.8097 16.0628i 1.20503 1.51106i 0.401433 0.915889i \(-0.368512\pi\)
0.803598 0.595172i \(-0.202916\pi\)
\(114\) −11.5590 + 2.37074i −1.08260 + 0.222040i
\(115\) −5.39252 23.6262i −0.502855 2.20315i
\(116\) −3.23824 + 11.7642i −0.300663 + 1.09228i
\(117\) 0.0768805i 0.00710760i
\(118\) −3.81070 3.17924i −0.350803 0.292672i
\(119\) −1.29432 14.9904i −0.118650 1.37417i
\(120\) −1.67730 10.5217i −0.153115 0.960493i
\(121\) 1.97294 8.64400i 0.179358 0.785818i
\(122\) −13.4031 0.296329i −1.21346 0.0268284i
\(123\) −4.68410 3.73544i −0.422351 0.336813i
\(124\) 0.157439 + 0.0845857i 0.0141384 + 0.00759602i
\(125\) −15.3872 3.51203i −1.37628 0.314126i
\(126\) −1.83580 3.26034i −0.163546 0.290454i
\(127\) 10.7669 2.45748i 0.955410 0.218066i 0.283727 0.958905i \(-0.408429\pi\)
0.671683 + 0.740839i \(0.265572\pi\)
\(128\) 1.74368 11.1785i 0.154121 0.988052i
\(129\) 4.32049i 0.380398i
\(130\) −0.314486 0.262373i −0.0275823 0.0230117i
\(131\) −6.73614 3.24395i −0.588539 0.283426i 0.115819 0.993270i \(-0.463051\pi\)
−0.704358 + 0.709845i \(0.748765\pi\)
\(132\) 7.20833 5.24453i 0.627405 0.456478i
\(133\) −3.04260 + 21.8643i −0.263827 + 1.89588i
\(134\) 0.0887175 0.352582i 0.00766403 0.0304585i
\(135\) 3.67250 0.838224i 0.316078 0.0721428i
\(136\) 13.9978 + 7.92407i 1.20030 + 0.679484i
\(137\) 5.64705 + 2.71948i 0.482460 + 0.232341i 0.659273 0.751904i \(-0.270864\pi\)
−0.176812 + 0.984245i \(0.556579\pi\)
\(138\) 9.09580 + 0.201099i 0.774286 + 0.0171187i
\(139\) 4.34349 2.09172i 0.368410 0.177417i −0.240514 0.970646i \(-0.577316\pi\)
0.608924 + 0.793229i \(0.291602\pi\)
\(140\) −19.6018 3.61720i −1.65666 0.305709i
\(141\) 0.383289 + 0.184582i 0.0322788 + 0.0155446i
\(142\) 11.0895 + 5.64572i 0.930612 + 0.473778i
\(143\) 0.0762510 0.334077i 0.00637643 0.0279370i
\(144\) 3.98437 + 0.353226i 0.332031 + 0.0294355i
\(145\) −17.9677 + 14.3288i −1.49214 + 1.18994i
\(146\) 1.78350 + 2.34076i 0.147603 + 0.193723i
\(147\) −6.89640 + 1.19986i −0.568806 + 0.0989625i
\(148\) −3.99096 + 14.4988i −0.328055 + 1.19179i
\(149\) −3.13413 3.93007i −0.256758 0.321964i 0.636700 0.771112i \(-0.280299\pi\)
−0.893458 + 0.449148i \(0.851728\pi\)
\(150\) 5.89638 11.5819i 0.481437 0.945655i
\(151\) −11.3242 2.58466i −0.921546 0.210337i −0.264673 0.964338i \(-0.585264\pi\)
−0.656873 + 0.754001i \(0.728121\pi\)
\(152\) −17.4350 15.9042i −1.41416 1.29000i
\(153\) −2.46747 + 5.12375i −0.199483 + 0.414231i
\(154\) −4.74367 15.9883i −0.382256 1.28837i
\(155\) 0.146053 + 0.303283i 0.0117313 + 0.0243603i
\(156\) 0.124335 0.0904617i 0.00995475 0.00724273i
\(157\) 7.15561 14.8588i 0.571080 1.18586i −0.392825 0.919613i \(-0.628502\pi\)
0.963905 0.266246i \(-0.0857835\pi\)
\(158\) −1.03591 + 4.11691i −0.0824123 + 0.327524i
\(159\) 1.25947 + 5.51810i 0.0998825 + 0.437614i
\(160\) 15.0425 15.0930i 1.18922 1.19320i
\(161\) 6.03851 15.9137i 0.475901 1.25417i
\(162\) −0.0312592 + 1.41387i −0.00245595 + 0.111084i
\(163\) 0.490893 1.01935i 0.0384497 0.0798416i −0.880859 0.473378i \(-0.843034\pi\)
0.919309 + 0.393537i \(0.128749\pi\)
\(164\) 0.529577 11.9707i 0.0413530 0.934751i
\(165\) 16.7899 1.30709
\(166\) −16.8934 + 12.8716i −1.31118 + 0.999027i
\(167\) −1.08277 4.74391i −0.0837870 0.367095i 0.915601 0.402089i \(-0.131716\pi\)
−0.999388 + 0.0349945i \(0.988859\pi\)
\(168\) 3.11268 6.80524i 0.240148 0.525035i
\(169\) −2.89146 + 12.6683i −0.222420 + 0.974485i
\(170\) 12.5383 + 27.5794i 0.961644 + 2.11525i
\(171\) 5.20214 6.52327i 0.397817 0.498847i
\(172\) 6.98731 5.08372i 0.532777 0.387630i
\(173\) −4.19969 0.958553i −0.319297 0.0728774i 0.0598688 0.998206i \(-0.480932\pi\)
−0.379166 + 0.925329i \(0.623789\pi\)
\(174\) −3.57078 7.85434i −0.270700 0.595436i
\(175\) −16.7386 17.6350i −1.26532 1.33308i
\(176\) 16.9634 + 5.48666i 1.27867 + 0.413573i
\(177\) 3.50920 0.263768
\(178\) −6.58659 8.64461i −0.493686 0.647941i
\(179\) −18.0438 + 4.11838i −1.34866 + 0.307822i −0.835037 0.550195i \(-0.814554\pi\)
−0.513621 + 0.858017i \(0.671696\pi\)
\(180\) 5.67687 + 4.95304i 0.423129 + 0.369178i
\(181\) −4.01113 3.19877i −0.298145 0.237763i 0.462979 0.886369i \(-0.346781\pi\)
−0.761124 + 0.648607i \(0.775352\pi\)
\(182\) −0.0818225 0.275778i −0.00606508 0.0204420i
\(183\) 7.41157 5.91053i 0.547879 0.436919i
\(184\) 10.3774 + 14.9468i 0.765030 + 1.10189i
\(185\) −22.1443 + 17.6595i −1.62808 + 1.29835i
\(186\) −0.123799 + 0.0253911i −0.00907737 + 0.00186176i
\(187\) −15.8040 + 19.8175i −1.15570 + 1.44920i
\(188\) 0.152483 + 0.837062i 0.0111210 + 0.0610491i
\(189\) 2.47365 + 0.938637i 0.179932 + 0.0682758i
\(190\) −8.93045 43.5420i −0.647883 3.15887i
\(191\) 3.00513 + 6.24021i 0.217443 + 0.451526i 0.980946 0.194278i \(-0.0622365\pi\)
−0.763503 + 0.645804i \(0.776522\pi\)
\(192\) 4.11697 + 6.85934i 0.297117 + 0.495030i
\(193\) −16.5445 + 7.96742i −1.19090 + 0.573507i −0.921069 0.389400i \(-0.872682\pi\)
−0.269831 + 0.962908i \(0.586968\pi\)
\(194\) −0.684535 + 2.72049i −0.0491467 + 0.195320i
\(195\) 0.289604 0.0207390
\(196\) −10.0551 9.74137i −0.718224 0.695812i
\(197\) 25.1794 1.79395 0.896977 0.442077i \(-0.145758\pi\)
0.896977 + 0.442077i \(0.145758\pi\)
\(198\) −1.53813 + 6.11284i −0.109310 + 0.434420i
\(199\) −16.7246 + 8.05416i −1.18558 + 0.570944i −0.919532 0.393016i \(-0.871432\pi\)
−0.266047 + 0.963960i \(0.585717\pi\)
\(200\) 25.6687 4.09194i 1.81505 0.289344i
\(201\) 0.111545 + 0.231625i 0.00786777 + 0.0163376i
\(202\) 1.54336 + 7.52492i 0.108590 + 0.529452i
\(203\) −16.0815 + 1.38853i −1.12870 + 0.0974555i
\(204\) −11.1897 + 2.03837i −0.783437 + 0.142714i
\(205\) 14.0712 17.6447i 0.982775 1.23236i
\(206\) 7.78739 1.59719i 0.542573 0.111281i
\(207\) −5.02974 + 4.01108i −0.349591 + 0.278790i
\(208\) 0.292598 + 0.0946380i 0.0202880 + 0.00656197i
\(209\) 29.0753 23.1868i 2.01118 1.60386i
\(210\) 12.2815 6.91536i 0.847505 0.477205i
\(211\) −2.77179 2.21043i −0.190818 0.152172i 0.523421 0.852074i \(-0.324656\pi\)
−0.714239 + 0.699902i \(0.753227\pi\)
\(212\) −7.44217 + 8.52976i −0.511130 + 0.585826i
\(213\) −8.57858 + 1.95800i −0.587794 + 0.134160i
\(214\) −2.16313 2.83902i −0.147869 0.194071i
\(215\) 16.2751 1.10995
\(216\) −2.32336 + 1.61308i −0.158084 + 0.109756i
\(217\) −0.0325868 + 0.234171i −0.00221214 + 0.0158966i
\(218\) 5.43461 + 11.9540i 0.368078 + 0.809630i
\(219\) −2.02870 0.463037i −0.137087 0.0312891i
\(220\) 19.7559 + 27.1534i 1.33194 + 1.83068i
\(221\) −0.272599 + 0.341828i −0.0183370 + 0.0229938i
\(222\) −4.40080 9.68007i −0.295363 0.649684i
\(223\) −0.322048 + 1.41098i −0.0215659 + 0.0944864i −0.984566 0.175016i \(-0.944002\pi\)
0.963000 + 0.269503i \(0.0868593\pi\)
\(224\) 14.6683 2.97344i 0.980066 0.198671i
\(225\) 2.04494 + 8.95945i 0.136329 + 0.597296i
\(226\) −23.1111 + 17.6090i −1.53733 + 1.17134i
\(227\) 11.1496 0.740023 0.370011 0.929027i \(-0.379354\pi\)
0.370011 + 0.929027i \(0.379354\pi\)
\(228\) 16.6709 + 0.737512i 1.10405 + 0.0488429i
\(229\) 11.6347 24.1596i 0.768841 1.59651i −0.0333478 0.999444i \(-0.510617\pi\)
0.802189 0.597071i \(-0.203669\pi\)
\(230\) −0.757529 + 34.2634i −0.0499500 + 2.25926i
\(231\) 9.81809 + 6.53216i 0.645983 + 0.429785i
\(232\) 8.50083 15.0167i 0.558107 0.985892i
\(233\) −3.52263 15.4336i −0.230775 1.01109i −0.948999 0.315279i \(-0.897902\pi\)
0.718224 0.695812i \(-0.244955\pi\)
\(234\) −0.0265307 + 0.105439i −0.00173437 + 0.00689275i
\(235\) −0.695311 + 1.44383i −0.0453571 + 0.0941849i
\(236\) 4.12911 + 5.67524i 0.268782 + 0.369427i
\(237\) −1.30245 2.70456i −0.0846031 0.175680i
\(238\) −3.39795 + 21.0055i −0.220256 + 1.36158i
\(239\) 3.18491 6.61353i 0.206015 0.427794i −0.772203 0.635376i \(-0.780845\pi\)
0.978218 + 0.207582i \(0.0665594\pi\)
\(240\) −1.33058 + 15.0089i −0.0858886 + 0.968821i
\(241\) 8.17989 + 1.86701i 0.526913 + 0.120264i 0.477699 0.878524i \(-0.341471\pi\)
0.0492144 + 0.998788i \(0.484328\pi\)
\(242\) −5.68877 + 11.1741i −0.365688 + 0.718298i
\(243\) −0.623490 0.781831i −0.0399969 0.0501545i
\(244\) 18.2796 + 5.03170i 1.17023 + 0.322121i
\(245\) −4.51979 25.9783i −0.288759 1.65970i
\(246\) 5.13500 + 6.73946i 0.327396 + 0.429692i
\(247\) 0.501512 0.399943i 0.0319105 0.0254477i
\(248\) −0.186732 0.170337i −0.0118575 0.0108164i
\(249\) 3.34175 14.6412i 0.211775 0.927847i
\(250\) 19.8911 + 10.1266i 1.25802 + 0.640464i
\(251\) 7.50388 + 3.61368i 0.473641 + 0.228093i 0.655447 0.755241i \(-0.272480\pi\)
−0.181807 + 0.983334i \(0.558194\pi\)
\(252\) 1.39262 + 5.10496i 0.0877270 + 0.321582i
\(253\) −25.8345 + 12.4413i −1.62420 + 0.782175i
\(254\) −15.6145 0.345221i −0.979741 0.0216611i
\(255\) −19.3009 9.29481i −1.20867 0.582063i
\(256\) −6.24900 + 14.7292i −0.390563 + 0.920576i
\(257\) −14.8690 + 3.39375i −0.927502 + 0.211696i −0.659485 0.751718i \(-0.729226\pi\)
−0.268017 + 0.963414i \(0.586368\pi\)
\(258\) −1.49096 + 5.92540i −0.0928233 + 0.368899i
\(259\) −19.8197 + 1.71129i −1.23153 + 0.106334i
\(260\) 0.340764 + 0.468362i 0.0211333 + 0.0290466i
\(261\) 5.49669 + 2.64707i 0.340236 + 0.163849i
\(262\) 8.11891 + 6.77355i 0.501588 + 0.418471i
\(263\) 5.98284i 0.368918i −0.982840 0.184459i \(-0.940947\pi\)
0.982840 0.184459i \(-0.0590533\pi\)
\(264\) −11.6958 + 4.70516i −0.719827 + 0.289582i
\(265\) −20.7864 + 4.74435i −1.27690 + 0.291443i
\(266\) 11.7180 28.9362i 0.718477 1.77419i
\(267\) 7.49213 + 1.71003i 0.458511 + 0.104652i
\(268\) −0.243346 + 0.452938i −0.0148647 + 0.0276676i
\(269\) 12.4542 + 9.93187i 0.759344 + 0.605557i 0.924709 0.380676i \(-0.124309\pi\)
−0.165364 + 0.986233i \(0.552880\pi\)
\(270\) −5.32596 0.117752i −0.324128 0.00716613i
\(271\) 4.54435 19.9101i 0.276049 1.20945i −0.626692 0.779267i \(-0.715592\pi\)
0.902741 0.430184i \(-0.141551\pi\)
\(272\) −16.4630 15.6981i −0.998214 0.951837i
\(273\) 0.169350 + 0.112672i 0.0102495 + 0.00681920i
\(274\) −6.80626 5.67841i −0.411181 0.343045i
\(275\) 40.9607i 2.47002i
\(276\) −12.4052 3.41468i −0.746703 0.205539i
\(277\) 1.15096 + 5.04269i 0.0691545 + 0.302986i 0.997663 0.0683251i \(-0.0217655\pi\)
−0.928509 + 0.371311i \(0.878908\pi\)
\(278\) −6.67877 + 1.36981i −0.400566 + 0.0821559i
\(279\) 0.0557158 0.0698654i 0.00333562 0.00418273i
\(280\) 25.6349 + 11.7253i 1.53198 + 0.700719i
\(281\) 14.1158 + 17.7007i 0.842081 + 1.05594i 0.997677 + 0.0681154i \(0.0216986\pi\)
−0.155596 + 0.987821i \(0.549730\pi\)
\(282\) −0.461969 0.385417i −0.0275099 0.0229513i
\(283\) −0.873038 1.09475i −0.0518967 0.0650764i 0.755206 0.655488i \(-0.227537\pi\)
−0.807102 + 0.590411i \(0.798966\pi\)
\(284\) −13.2606 11.5698i −0.786871 0.686541i
\(285\) 24.5728 + 19.5961i 1.45557 + 1.16078i
\(286\) −0.219862 + 0.431862i −0.0130007 + 0.0255365i
\(287\) 15.0931 4.84352i 0.890915 0.285904i
\(288\) −5.34253 1.85941i −0.314811 0.109567i
\(289\) 13.8219 6.65630i 0.813056 0.391547i
\(290\) 29.5868 13.4509i 1.73740 0.789865i
\(291\) −0.860668 1.78720i −0.0504533 0.104767i
\(292\) −1.63823 3.82574i −0.0958699 0.223884i
\(293\) 10.4140i 0.608393i 0.952609 + 0.304196i \(0.0983879\pi\)
−0.952609 + 0.304196i \(0.901612\pi\)
\(294\) 9.87222 + 0.734325i 0.575760 + 0.0428267i
\(295\) 13.2190i 0.769637i
\(296\) 10.4768 18.5073i 0.608954 1.07571i
\(297\) −1.93389 4.01576i −0.112216 0.233018i
\(298\) 2.94211 + 6.47151i 0.170432 + 0.374885i
\(299\) −0.445613 + 0.214596i −0.0257705 + 0.0124104i
\(300\) −12.0835 + 13.8493i −0.697639 + 0.799591i
\(301\) 9.51704 + 6.33187i 0.548553 + 0.364963i
\(302\) 14.6387 + 7.45263i 0.842364 + 0.428851i
\(303\) −4.24666 3.38660i −0.243964 0.194555i
\(304\) 18.4231 + 27.8287i 1.05664 + 1.59608i
\(305\) 22.2646 + 27.9189i 1.27487 + 1.59863i
\(306\) 5.15220 6.17554i 0.294532 0.353032i
\(307\) −12.6385 15.8481i −0.721315 0.904501i 0.277096 0.960842i \(-0.410628\pi\)
−0.998412 + 0.0563413i \(0.982056\pi\)
\(308\) 0.988363 + 23.5644i 0.0563172 + 1.34270i
\(309\) −3.50472 + 4.39479i −0.199377 + 0.250011i
\(310\) −0.0956468 0.466343i −0.00543237 0.0264865i
\(311\) −7.04714 30.8755i −0.399607 1.75079i −0.628950 0.777446i \(-0.716515\pi\)
0.229343 0.973346i \(-0.426342\pi\)
\(312\) −0.201738 + 0.0811581i −0.0114212 + 0.00459467i
\(313\) 16.9127i 0.955961i −0.878371 0.477980i \(-0.841369\pi\)
0.878371 0.477980i \(-0.158631\pi\)
\(314\) −14.9413 + 17.9089i −0.843186 + 1.01066i
\(315\) −3.53579 + 9.31811i −0.199219 + 0.525016i
\(316\) 2.84142 5.28871i 0.159842 0.297513i
\(317\) −5.41319 + 23.7167i −0.304035 + 1.33206i 0.559942 + 0.828532i \(0.310823\pi\)
−0.863977 + 0.503532i \(0.832034\pi\)
\(318\) 0.176927 8.00250i 0.00992159 0.448758i
\(319\) 21.2600 + 16.9543i 1.19033 + 0.949257i
\(320\) −25.8387 + 15.5084i −1.44443 + 0.866946i
\(321\) 2.46053 + 0.561599i 0.137333 + 0.0313454i
\(322\) −13.7733 + 19.7412i −0.767554 + 1.10014i
\(323\) −46.2597 + 10.5585i −2.57396 + 0.587489i
\(324\) 0.530784 1.92828i 0.0294880 0.107127i
\(325\) 0.706521i 0.0391907i
\(326\) −1.02501 + 1.22860i −0.0567700 + 0.0680457i
\(327\) −8.36578 4.02875i −0.462629 0.222790i
\(328\) −4.85726 + 16.2346i −0.268197 + 0.896404i
\(329\) −0.968318 + 0.573783i −0.0533851 + 0.0316337i
\(330\) −23.0267 5.79403i −1.26758 0.318951i
\(331\) 16.3050 3.72152i 0.896205 0.204553i 0.250479 0.968122i \(-0.419412\pi\)
0.645726 + 0.763569i \(0.276555\pi\)
\(332\) 27.6105 11.8231i 1.51532 0.648879i
\(333\) 6.77439 + 3.26237i 0.371234 + 0.178777i
\(334\) −0.152104 + 6.87975i −0.00832278 + 0.376443i
\(335\) −0.872519 + 0.420183i −0.0476708 + 0.0229570i
\(336\) −6.61734 + 8.25898i −0.361006 + 0.450564i
\(337\) 16.9468 + 8.16117i 0.923153 + 0.444567i 0.834196 0.551468i \(-0.185932\pi\)
0.0889573 + 0.996035i \(0.471647\pi\)
\(338\) 8.33724 16.3763i 0.453486 0.890753i
\(339\) 4.57171 20.0300i 0.248301 1.08788i
\(340\) −7.67842 42.1510i −0.416421 2.28596i
\(341\) 0.311402 0.248335i 0.0168633 0.0134481i
\(342\) −9.38566 + 7.15122i −0.507518 + 0.386694i
\(343\) 7.46397 16.9496i 0.403016 0.915193i
\(344\) −11.3372 + 4.56088i −0.611260 + 0.245906i
\(345\) −15.1095 18.9467i −0.813469 1.02006i
\(346\) 5.42894 + 2.76390i 0.291862 + 0.148588i
\(347\) 10.0370 + 2.29088i 0.538814 + 0.122981i 0.483263 0.875475i \(-0.339451\pi\)
0.0555507 + 0.998456i \(0.482309\pi\)
\(348\) 2.18673 + 12.0042i 0.117221 + 0.643492i
\(349\) 8.79407 18.2611i 0.470736 0.977493i −0.521515 0.853242i \(-0.674633\pi\)
0.992251 0.124251i \(-0.0396528\pi\)
\(350\) 16.8708 + 29.9621i 0.901780 + 1.60154i
\(351\) −0.0333572 0.0692669i −0.00178048 0.00369720i
\(352\) −21.3713 13.3787i −1.13909 0.713085i
\(353\) −12.3477 + 25.6403i −0.657202 + 1.36469i 0.259742 + 0.965678i \(0.416362\pi\)
−0.916944 + 0.399016i \(0.869352\pi\)
\(354\) −4.81274 1.21099i −0.255794 0.0643635i
\(355\) −7.37569 32.3150i −0.391461 1.71510i
\(356\) 6.05009 + 14.1287i 0.320654 + 0.748821i
\(357\) −7.67025 12.9443i −0.405953 0.685087i
\(358\) 26.1676 + 0.578540i 1.38300 + 0.0305768i
\(359\) 0.123646 0.256753i 0.00652577 0.0135509i −0.897681 0.440647i \(-0.854749\pi\)
0.904206 + 0.427096i \(0.140463\pi\)
\(360\) −6.07637 8.75194i −0.320253 0.461268i
\(361\) 50.6153 2.66396
\(362\) 4.39725 + 5.77120i 0.231114 + 0.303327i
\(363\) −1.97294 8.64400i −0.103552 0.453692i
\(364\) 0.0170480 + 0.406456i 0.000893560 + 0.0213041i
\(365\) 1.74423 7.64198i 0.0912973 0.399999i
\(366\) −12.2044 + 5.54841i −0.637932 + 0.290020i
\(367\) 21.4848 26.9411i 1.12150 1.40632i 0.218948 0.975737i \(-0.429738\pi\)
0.902552 0.430580i \(-0.141691\pi\)
\(368\) −9.07420 24.0801i −0.473025 1.25526i
\(369\) −5.84097 1.33316i −0.304069 0.0694017i
\(370\) 36.4643 16.5776i 1.89569 0.861827i
\(371\) −14.0009 5.31269i −0.726890 0.275821i
\(372\) 0.178548 + 0.00789889i 0.00925728 + 0.000409538i
\(373\) −6.46609 −0.334802 −0.167401 0.985889i \(-0.553537\pi\)
−0.167401 + 0.985889i \(0.553537\pi\)
\(374\) 28.5134 21.7252i 1.47439 1.12339i
\(375\) −15.3872 + 3.51203i −0.794593 + 0.181361i
\(376\) 0.0797375 1.20062i 0.00411215 0.0619173i
\(377\) 0.366708 + 0.292440i 0.0188864 + 0.0150614i
\(378\) −3.06861 2.14094i −0.157832 0.110118i
\(379\) −10.4295 + 8.31721i −0.535725 + 0.427226i −0.853618 0.520900i \(-0.825596\pi\)
0.317892 + 0.948127i \(0.397025\pi\)
\(380\) −2.77817 + 62.7981i −0.142517 + 3.22148i
\(381\) 8.63440 6.88571i 0.442354 0.352765i
\(382\) −1.96798 9.59527i −0.100691 0.490937i
\(383\) −6.27628 + 7.87021i −0.320703 + 0.402149i −0.915884 0.401443i \(-0.868509\pi\)
0.595181 + 0.803592i \(0.297080\pi\)
\(384\) −3.27918 10.8281i −0.167340 0.552567i
\(385\) −24.6063 + 36.9842i −1.25405 + 1.88489i
\(386\) 25.4397 5.21767i 1.29485 0.265572i
\(387\) −1.87459 3.89263i −0.0952909 0.197874i
\(388\) 1.87763 3.49482i 0.0953222 0.177423i
\(389\) −20.3556 + 9.80274i −1.03207 + 0.497019i −0.871701 0.490038i \(-0.836983\pi\)
−0.160369 + 0.987057i \(0.551268\pi\)
\(390\) −0.397182 0.0999398i −0.0201121 0.00506065i
\(391\) 36.5856 1.85021
\(392\) 10.4286 + 16.8299i 0.526724 + 0.850037i
\(393\) −7.47655 −0.377142
\(394\) −34.5326 8.68916i −1.73973 0.437754i
\(395\) 10.1879 4.90625i 0.512610 0.246860i
\(396\) 4.21897 7.85274i 0.212011 0.394615i
\(397\) −9.26563 19.2403i −0.465028 0.965642i −0.993191 0.116498i \(-0.962833\pi\)
0.528162 0.849143i \(-0.322881\pi\)
\(398\) 25.7167 5.27447i 1.28906 0.264385i
\(399\) 6.74530 + 21.0192i 0.337687 + 1.05228i
\(400\) −36.6158 3.24609i −1.83079 0.162305i
\(401\) 9.08266 11.3893i 0.453566 0.568754i −0.501496 0.865160i \(-0.667217\pi\)
0.955062 + 0.296406i \(0.0957881\pi\)
\(402\) −0.0730480 0.356159i −0.00364330 0.0177636i
\(403\) 0.00537129 0.00428346i 0.000267563 0.000213374i
\(404\) 0.480122 10.8528i 0.0238869 0.539945i
\(405\) 2.94511 2.34865i 0.146344 0.116705i
\(406\) 22.5344 + 3.64527i 1.11836 + 0.180912i
\(407\) 26.2018 + 20.8953i 1.29878 + 1.03574i
\(408\) 16.0497 + 1.06592i 0.794579 + 0.0527709i
\(409\) −25.3227 + 5.77974i −1.25213 + 0.285790i −0.796641 0.604453i \(-0.793392\pi\)
−0.455486 + 0.890243i \(0.650535\pi\)
\(410\) −25.3872 + 19.3433i −1.25378 + 0.955295i
\(411\) 6.26775 0.309166
\(412\) −11.2313 0.496868i −0.553326 0.0244789i
\(413\) −5.14288 + 7.72995i −0.253065 + 0.380366i
\(414\) 8.28229 3.76534i 0.407052 0.185056i
\(415\) 55.1525 + 12.5882i 2.70733 + 0.617930i
\(416\) −0.368628 0.230765i −0.0180735 0.0113142i
\(417\) 3.00579 3.76914i 0.147194 0.184576i
\(418\) −47.8772 + 21.7662i −2.34175 + 1.06462i
\(419\) −1.93869 + 8.49397i −0.0947114 + 0.414958i −0.999951 0.00994465i \(-0.996834\pi\)
0.905239 + 0.424902i \(0.139692\pi\)
\(420\) −19.2301 + 5.24593i −0.938332 + 0.255975i
\(421\) −0.697356 3.05532i −0.0339870 0.148907i 0.955087 0.296325i \(-0.0957610\pi\)
−0.989074 + 0.147418i \(0.952904\pi\)
\(422\) 3.03861 + 3.98805i 0.147917 + 0.194135i
\(423\) 0.425419 0.0206846
\(424\) 13.1502 9.13003i 0.638630 0.443394i
\(425\) 22.6757 47.0865i 1.09993 2.28403i
\(426\) 12.4409 + 0.275056i 0.602763 + 0.0133265i
\(427\) 2.15755 + 24.9881i 0.104411 + 1.20926i
\(428\) 1.98694 + 4.64009i 0.0960424 + 0.224287i
\(429\) −0.0762510 0.334077i −0.00368143 0.0161294i
\(430\) −22.3206 5.61637i −1.07640 0.270845i
\(431\) 11.9123 24.7362i 0.573797 1.19150i −0.388991 0.921242i \(-0.627176\pi\)
0.962787 0.270260i \(-0.0871096\pi\)
\(432\) 3.74306 1.41051i 0.180088 0.0678632i
\(433\) −0.392179 0.814368i −0.0188469 0.0391360i 0.891333 0.453349i \(-0.149771\pi\)
−0.910180 + 0.414213i \(0.864057\pi\)
\(434\) 0.125502 0.309912i 0.00602429 0.0148762i
\(435\) −9.97134 + 20.7057i −0.478089 + 0.992763i
\(436\) −3.32814 18.2700i −0.159389 0.874973i
\(437\) −52.3308 11.9442i −2.50332 0.571366i
\(438\) 2.62249 + 1.33512i 0.125308 + 0.0637946i
\(439\) −5.55109 6.96085i −0.264939 0.332223i 0.631512 0.775366i \(-0.282435\pi\)
−0.896451 + 0.443143i \(0.853863\pi\)
\(440\) −17.7241 44.0574i −0.844961 2.10036i
\(441\) −5.69284 + 4.07327i −0.271088 + 0.193965i
\(442\) 0.491821 0.374733i 0.0233935 0.0178242i
\(443\) 14.5397 11.5950i 0.690803 0.550897i −0.213944 0.976846i \(-0.568631\pi\)
0.904747 + 0.425949i \(0.140060\pi\)
\(444\) 2.69504 + 14.7945i 0.127901 + 0.702118i
\(445\) −6.44158 + 28.2224i −0.305360 + 1.33787i
\(446\) 0.928593 1.82398i 0.0439702 0.0863677i
\(447\) −4.52895 2.18103i −0.214212 0.103159i
\(448\) −21.1431 0.983929i −0.998919 0.0464863i
\(449\) −17.1312 + 8.24994i −0.808470 + 0.389339i −0.791997 0.610525i \(-0.790958\pi\)
−0.0164738 + 0.999864i \(0.505244\pi\)
\(450\) 0.287268 12.9932i 0.0135419 0.612507i
\(451\) −24.0592 11.5863i −1.13290 0.545577i
\(452\) 37.7727 16.1747i 1.77668 0.760796i
\(453\) −11.3242 + 2.58466i −0.532055 + 0.121438i
\(454\) −15.2912 3.84761i −0.717653 0.180577i
\(455\) −0.424428 + 0.637931i −0.0198975 + 0.0299067i
\(456\) −22.6090 6.76443i −1.05876 0.316773i
\(457\) −6.26006 3.01469i −0.292833 0.141021i 0.281699 0.959503i \(-0.409102\pi\)
−0.574533 + 0.818482i \(0.694816\pi\)
\(458\) −24.2938 + 29.1191i −1.13517 + 1.36064i
\(459\) 5.68693i 0.265443i
\(460\) 12.8629 46.7296i 0.599736 2.17878i
\(461\) 3.19807 0.729938i 0.148949 0.0339966i −0.147396 0.989078i \(-0.547089\pi\)
0.296345 + 0.955081i \(0.404232\pi\)
\(462\) −11.2110 12.3468i −0.521581 0.574423i
\(463\) −23.8427 5.44194i −1.10807 0.252909i −0.370935 0.928659i \(-0.620963\pi\)
−0.737131 + 0.675750i \(0.763820\pi\)
\(464\) −16.8407 + 17.6612i −0.781810 + 0.819903i
\(465\) 0.263179 + 0.209878i 0.0122046 + 0.00973287i
\(466\) −0.494850 + 22.3823i −0.0229235 + 1.03684i
\(467\) 5.21078 22.8299i 0.241126 1.05644i −0.698867 0.715251i \(-0.746312\pi\)
0.939994 0.341192i \(-0.110831\pi\)
\(468\) 0.0727719 0.135450i 0.00336388 0.00626118i
\(469\) −0.673690 0.0937494i −0.0311081 0.00432895i
\(470\) 1.45185 1.74021i 0.0669686 0.0802700i
\(471\) 16.4920i 0.759911i
\(472\) −3.70445 9.20831i −0.170511 0.423847i
\(473\) −4.28512 18.7743i −0.197030 0.863244i
\(474\) 0.852941 + 4.15867i 0.0391769 + 0.191014i
\(475\) −47.8069 + 59.9479i −2.19353 + 2.75060i
\(476\) 11.9090 27.6357i 0.545847 1.26668i
\(477\) 3.52896 + 4.42517i 0.161580 + 0.202615i
\(478\) −6.65026 + 7.97114i −0.304176 + 0.364591i
\(479\) 21.8584 + 27.4096i 0.998737 + 1.25238i 0.967502 + 0.252865i \(0.0813727\pi\)
0.0312354 + 0.999512i \(0.490056\pi\)
\(480\) 7.00428 20.1250i 0.319700 0.918576i
\(481\) 0.451949 + 0.360417i 0.0206071 + 0.0164336i
\(482\) −10.5741 5.38334i −0.481639 0.245204i
\(483\) −1.46418 16.9578i −0.0666226 0.771605i
\(484\) 11.6580 13.3617i 0.529910 0.607351i
\(485\) 6.73226 3.24209i 0.305696 0.147216i
\(486\) 0.585291 + 1.28741i 0.0265493 + 0.0583983i
\(487\) −2.83961 5.89652i −0.128675 0.267197i 0.826671 0.562685i \(-0.190232\pi\)
−0.955346 + 0.295489i \(0.904517\pi\)
\(488\) −23.3334 13.2089i −1.05626 0.597939i
\(489\) 1.13139i 0.0511633i
\(490\) −2.76616 + 37.1881i −0.124962 + 1.67999i
\(491\) 16.3127i 0.736180i 0.929790 + 0.368090i \(0.119988\pi\)
−0.929790 + 0.368090i \(0.880012\pi\)
\(492\) −4.71674 11.0150i −0.212647 0.496593i
\(493\) −15.0537 31.2593i −0.677984 1.40785i
\(494\) −0.825823 + 0.375440i −0.0371555 + 0.0168918i
\(495\) 15.1272 7.28485i 0.679915 0.327430i
\(496\) 0.197314 + 0.298050i 0.00885968 + 0.0133829i
\(497\) 8.25925 21.7661i 0.370478 0.976345i
\(498\) −9.63562 + 18.9266i −0.431783 + 0.848122i
\(499\) −10.5297 8.39719i −0.471376 0.375910i 0.358797 0.933416i \(-0.383187\pi\)
−0.830173 + 0.557506i \(0.811758\pi\)
\(500\) −23.7853 20.7525i −1.06371 0.928080i
\(501\) −3.03384 3.80432i −0.135542 0.169964i
\(502\) −9.04425 7.54554i −0.403665 0.336774i
\(503\) −15.1241 18.9650i −0.674350 0.845608i 0.320470 0.947259i \(-0.396159\pi\)
−0.994820 + 0.101651i \(0.967588\pi\)
\(504\) −0.148258 7.48185i −0.00660396 0.333268i
\(505\) 12.7571 15.9969i 0.567685 0.711854i
\(506\) 39.7245 8.14747i 1.76597 0.362199i
\(507\) 2.89146 + 12.6683i 0.128414 + 0.562619i
\(508\) 21.2956 + 5.86188i 0.944839 + 0.260079i
\(509\) 26.8049i 1.18811i 0.804426 + 0.594053i \(0.202473\pi\)
−0.804426 + 0.594053i \(0.797527\pi\)
\(510\) 23.2629 + 19.4080i 1.03010 + 0.859403i
\(511\) 3.99310 3.79014i 0.176644 0.167666i
\(512\) 13.6532 18.0441i 0.603392 0.797445i
\(513\) 1.85662 8.13439i 0.0819718 0.359142i
\(514\) 21.5634 + 0.476746i 0.951122 + 0.0210284i
\(515\) −16.5549 13.2021i −0.729496 0.581754i
\(516\) 4.08960 7.61195i 0.180035 0.335098i
\(517\) 1.84862 + 0.421935i 0.0813022 + 0.0185567i
\(518\) 27.7725 + 4.49261i 1.22025 + 0.197394i
\(519\) −4.19969 + 0.958553i −0.184346 + 0.0420758i
\(520\) −0.305718 0.759936i −0.0134066 0.0333254i
\(521\) 6.76266i 0.296277i 0.988967 + 0.148139i \(0.0473282\pi\)
−0.988967 + 0.148139i \(0.952672\pi\)
\(522\) −6.62503 5.52721i −0.289970 0.241919i
\(523\) 5.75424 + 2.77109i 0.251615 + 0.121172i 0.555441 0.831556i \(-0.312550\pi\)
−0.303825 + 0.952728i \(0.598264\pi\)
\(524\) −8.79731 12.0914i −0.384312 0.528217i
\(525\) −22.7325 8.62594i −0.992128 0.376467i
\(526\) −2.06462 + 8.20525i −0.0900218 + 0.357766i
\(527\) −0.495450 + 0.113083i −0.0215821 + 0.00492598i
\(528\) 17.6641 2.41684i 0.768730 0.105179i
\(529\) 16.5662 + 7.97784i 0.720268 + 0.346863i
\(530\) 30.1450 + 0.666475i 1.30941 + 0.0289498i
\(531\) 3.16168 1.52258i 0.137205 0.0660746i
\(532\) −26.0564 + 35.6411i −1.12969 + 1.54524i
\(533\) −0.414991 0.199849i −0.0179752 0.00865642i
\(534\) −9.68506 4.93071i −0.419114 0.213373i
\(535\) −2.11551 + 9.26866i −0.0914615 + 0.400719i
\(536\) 0.490044 0.537212i 0.0211667 0.0232040i
\(537\) −14.4700 + 11.5395i −0.624427 + 0.497964i
\(538\) −13.6530 17.9190i −0.588625 0.772544i
\(539\) −28.7777 + 12.0538i −1.23954 + 0.519194i
\(540\) 7.26372 + 1.99943i 0.312581 + 0.0860418i
\(541\) −14.2115 17.8206i −0.610998 0.766167i 0.376049 0.926600i \(-0.377282\pi\)
−0.987047 + 0.160433i \(0.948711\pi\)
\(542\) −13.1032 + 25.7377i −0.562830 + 1.10553i
\(543\) −5.00179 1.14163i −0.214648 0.0489919i
\(544\) 17.1611 + 27.2106i 0.735776 + 1.16664i
\(545\) 15.1761 31.5134i 0.650071 1.34989i
\(546\) −0.193375 0.212966i −0.00827569 0.00911411i
\(547\) 10.5783 + 21.9660i 0.452294 + 0.939197i 0.995056 + 0.0993113i \(0.0316640\pi\)
−0.542763 + 0.839886i \(0.682622\pi\)
\(548\) 7.37497 + 10.1365i 0.315043 + 0.433010i
\(549\) 4.11311 8.54096i 0.175543 0.364519i
\(550\) 14.1351 56.1761i 0.602725 2.39536i
\(551\) 11.3270 + 49.6268i 0.482546 + 2.11417i
\(552\) 15.8349 + 8.96401i 0.673976 + 0.381534i
\(553\) 7.86631 + 1.09466i 0.334510 + 0.0465497i
\(554\) 0.161684 7.31305i 0.00686930 0.310702i
\(555\) −12.2892 + 25.5187i −0.521646 + 1.08321i
\(556\) 9.63240 + 0.426134i 0.408505 + 0.0180721i
\(557\) −30.0667 −1.27397 −0.636984 0.770877i \(-0.719818\pi\)
−0.636984 + 0.770877i \(0.719818\pi\)
\(558\) −0.100522 + 0.0765909i −0.00425544 + 0.00324235i
\(559\) −0.0739129 0.323834i −0.00312618 0.0136967i
\(560\) −31.1111 24.9272i −1.31468 1.05336i
\(561\) −5.64037 + 24.7121i −0.238137 + 1.04334i
\(562\) −13.2510 29.1471i −0.558961 1.22950i
\(563\) 2.89058 3.62467i 0.121823 0.152762i −0.717180 0.696888i \(-0.754567\pi\)
0.839003 + 0.544127i \(0.183139\pi\)
\(564\) 0.500570 + 0.688007i 0.0210778 + 0.0289703i
\(565\) 75.4518 + 17.2214i 3.17428 + 0.724509i
\(566\) 0.819550 + 1.80269i 0.0344482 + 0.0757728i
\(567\) 2.63594 0.227595i 0.110699 0.00955810i
\(568\) 14.1938 + 20.4436i 0.595558 + 0.857796i
\(569\) −1.98747 −0.0833190 −0.0416595 0.999132i \(-0.513264\pi\)
−0.0416595 + 0.999132i \(0.513264\pi\)
\(570\) −26.9382 35.3552i −1.12832 1.48087i
\(571\) −22.8708 + 5.22011i −0.957113 + 0.218455i −0.672425 0.740166i \(-0.734747\pi\)
−0.284688 + 0.958620i \(0.591890\pi\)
\(572\) 0.450565 0.516410i 0.0188391 0.0215922i
\(573\) 5.41505 + 4.31836i 0.226217 + 0.180402i
\(574\) −22.3710 + 1.43424i −0.933749 + 0.0598641i
\(575\) 46.2226 36.8613i 1.92761 1.53722i
\(576\) 6.68542 + 4.39376i 0.278559 + 0.183074i
\(577\) −22.8027 + 18.1845i −0.949289 + 0.757032i −0.970089 0.242751i \(-0.921950\pi\)
0.0207999 + 0.999784i \(0.493379\pi\)
\(578\) −21.2533 + 4.35905i −0.884022 + 0.181312i
\(579\) −11.4492 + 14.3568i −0.475811 + 0.596648i
\(580\) −45.2191 + 8.23730i −1.87762 + 0.342035i
\(581\) 27.3536 + 28.8184i 1.13482 + 1.19559i
\(582\) 0.563630 + 2.74808i 0.0233632 + 0.113912i
\(583\) 10.9458 + 22.7293i 0.453330 + 0.941349i
\(584\) 0.926542 + 5.81219i 0.0383406 + 0.240510i
\(585\) 0.260925 0.125655i 0.0107879 0.00519518i
\(586\) 3.59378 14.2824i 0.148458 0.590002i
\(587\) −15.7767 −0.651175 −0.325587 0.945512i \(-0.605562\pi\)
−0.325587 + 0.945512i \(0.605562\pi\)
\(588\) −13.2860 4.41391i −0.547905 0.182027i
\(589\) 0.745593 0.0307216
\(590\) 4.56174 18.1293i 0.187804 0.746372i
\(591\) 22.6858 10.9249i 0.933170 0.449391i
\(592\) −20.7553 + 21.7666i −0.853037 + 0.894601i
\(593\) −4.52741 9.40127i −0.185918 0.386064i 0.787088 0.616840i \(-0.211588\pi\)
−0.973007 + 0.230777i \(0.925873\pi\)
\(594\) 1.26646 + 6.17484i 0.0519634 + 0.253357i
\(595\) 48.7606 28.8934i 1.99899 1.18451i
\(596\) −1.80174 9.89074i −0.0738022 0.405140i
\(597\) −11.5738 + 14.5131i −0.473685 + 0.593982i
\(598\) 0.685198 0.140534i 0.0280198 0.00574685i
\(599\) −30.1746 + 24.0635i −1.23290 + 0.983207i −0.232959 + 0.972486i \(0.574841\pi\)
−0.999943 + 0.0107201i \(0.996588\pi\)
\(600\) 21.3513 14.8240i 0.871663 0.605185i
\(601\) −30.5095 + 24.3305i −1.24451 + 0.992464i −0.244772 + 0.969581i \(0.578713\pi\)
−0.999738 + 0.0228831i \(0.992715\pi\)
\(602\) −10.8672 11.9682i −0.442914 0.487786i
\(603\) 0.200997 + 0.160290i 0.00818522 + 0.00652750i
\(604\) −17.5046 15.2727i −0.712254 0.621437i
\(605\) 32.5614 7.43194i 1.32381 0.302151i
\(606\) 4.65546 + 6.11008i 0.189115 + 0.248205i
\(607\) −1.30155 −0.0528281 −0.0264140 0.999651i \(-0.508409\pi\)
−0.0264140 + 0.999651i \(0.508409\pi\)
\(608\) −15.6631 44.5237i −0.635224 1.80567i
\(609\) −13.8865 + 8.22854i −0.562709 + 0.333437i
\(610\) −20.9005 45.9731i −0.846238 1.86140i
\(611\) 0.0318864 + 0.00727786i 0.00128999 + 0.000294431i
\(612\) −9.19718 + 6.69155i −0.371774 + 0.270490i
\(613\) −4.62973 + 5.80549i −0.186993 + 0.234482i −0.866487 0.499199i \(-0.833628\pi\)
0.679495 + 0.733681i \(0.262199\pi\)
\(614\) 11.8642 + 26.0966i 0.478798 + 1.05317i
\(615\) 5.02195 22.0026i 0.202505 0.887231i
\(616\) 6.77634 32.6587i 0.273027 1.31586i
\(617\) 7.52170 + 32.9547i 0.302812 + 1.32671i 0.865862 + 0.500284i \(0.166771\pi\)
−0.563049 + 0.826423i \(0.690372\pi\)
\(618\) 6.32320 4.81784i 0.254356 0.193802i
\(619\) −38.0761 −1.53041 −0.765204 0.643788i \(-0.777362\pi\)
−0.765204 + 0.643788i \(0.777362\pi\)
\(620\) −0.0297547 + 0.672580i −0.00119498 + 0.0270114i
\(621\) −2.79129 + 5.79618i −0.112011 + 0.232593i
\(622\) −0.989965 + 44.7766i −0.0396940 + 1.79538i
\(623\) −14.7468 + 13.9973i −0.590819 + 0.560790i
\(624\) 0.304683 0.0416874i 0.0121971 0.00166883i
\(625\) −3.00496 13.1656i −0.120198 0.526623i
\(626\) −5.83640 + 23.1951i −0.233270 + 0.927063i
\(627\) 16.1356 33.5058i 0.644392 1.33809i
\(628\) 26.6716 19.4054i 1.06431 0.774358i
\(629\) −18.5529 38.5255i −0.739752 1.53611i
\(630\) 8.06480 11.5593i 0.321309 0.460533i
\(631\) −18.0268 + 37.4330i −0.717635 + 1.49018i 0.147723 + 0.989029i \(0.452806\pi\)
−0.865357 + 0.501155i \(0.832909\pi\)
\(632\) −5.72198 + 6.27273i −0.227608 + 0.249516i
\(633\) −3.45637 0.788894i −0.137378 0.0313557i
\(634\) 15.6084 30.6586i 0.619889 1.21761i
\(635\) 25.9381 + 32.5253i 1.02932 + 1.29073i
\(636\) −3.00424 + 10.9141i −0.119126 + 0.432772i
\(637\) −0.496379 + 0.207913i −0.0196672 + 0.00823782i
\(638\) −23.3065 30.5888i −0.922714 1.21102i
\(639\) −6.87948 + 5.48621i −0.272148 + 0.217031i
\(640\) 40.7887 12.3525i 1.61231 0.488275i
\(641\) 6.39434 28.0154i 0.252561 1.10654i −0.676449 0.736489i \(-0.736482\pi\)
0.929010 0.370054i \(-0.120661\pi\)
\(642\) −3.18072 1.61932i −0.125533 0.0639094i
\(643\) 43.2035 + 20.8057i 1.70378 + 0.820497i 0.993139 + 0.116943i \(0.0373094\pi\)
0.710641 + 0.703555i \(0.248405\pi\)
\(644\) 25.7020 22.3213i 1.01280 0.879584i
\(645\) 14.6633 7.06148i 0.577367 0.278046i
\(646\) 67.0871 + 1.48323i 2.63951 + 0.0583569i
\(647\) 0.126999 + 0.0611596i 0.00499285 + 0.00240443i 0.436378 0.899763i \(-0.356261\pi\)
−0.431386 + 0.902168i \(0.641975\pi\)
\(648\) −1.39338 + 2.46140i −0.0547372 + 0.0966929i
\(649\) 15.2489 3.48047i 0.598572 0.136620i
\(650\) 0.243814 0.968967i 0.00956316 0.0380060i
\(651\) 0.0722434 + 0.225120i 0.00283144 + 0.00882314i
\(652\) 1.82974 1.33126i 0.0716582 0.0521360i
\(653\) 34.6293 + 16.6766i 1.35515 + 0.652605i 0.963549 0.267531i \(-0.0862077\pi\)
0.391599 + 0.920136i \(0.371922\pi\)
\(654\) 10.0831 + 8.41223i 0.394280 + 0.328944i
\(655\) 28.1637i 1.10045i
\(656\) 12.2640 20.5889i 0.478827 0.803862i
\(657\) −2.02870 + 0.463037i −0.0791470 + 0.0180648i
\(658\) 1.52602 0.452765i 0.0594905 0.0176506i
\(659\) 36.4302 + 8.31495i 1.41912 + 0.323905i 0.862160 0.506636i \(-0.169111\pi\)
0.556959 + 0.830540i \(0.311968\pi\)
\(660\) 29.5808 + 15.8926i 1.15143 + 0.618619i
\(661\) 31.5131 + 25.1308i 1.22572 + 0.977476i 0.999995 + 0.00328459i \(0.00104552\pi\)
0.225722 + 0.974192i \(0.427526\pi\)
\(662\) −23.6460 0.522790i −0.919028 0.0203188i
\(663\) −0.0972893 + 0.426252i −0.00377840 + 0.0165543i
\(664\) −41.9468 + 6.68689i −1.62785 + 0.259502i
\(665\) −79.1782 + 25.4091i −3.07040 + 0.985324i
\(666\) −8.16501 6.81200i −0.316388 0.263960i
\(667\) 39.2485i 1.51971i
\(668\) 2.58274 9.38284i 0.0999293 0.363033i
\(669\) 0.322048 + 1.41098i 0.0124511 + 0.0545517i
\(670\) 1.34163 0.275167i 0.0518317 0.0106306i
\(671\) 26.3442 33.0346i 1.01701 1.27528i
\(672\) 11.9255 9.04331i 0.460038 0.348853i
\(673\) 15.8649 + 19.8939i 0.611547 + 0.766855i 0.987128 0.159934i \(-0.0511283\pi\)
−0.375581 + 0.926790i \(0.622557\pi\)
\(674\) −20.4256 17.0409i −0.786766 0.656393i
\(675\) 5.72978 + 7.18492i 0.220539 + 0.276548i
\(676\) −17.0855 + 19.5824i −0.657136 + 0.753169i
\(677\) −7.62244 6.07869i −0.292954 0.233623i 0.465973 0.884799i \(-0.345705\pi\)
−0.758927 + 0.651176i \(0.774276\pi\)
\(678\) −13.1821 + 25.8927i −0.506255 + 0.994404i
\(679\) 5.19812 + 0.723361i 0.199486 + 0.0277600i
\(680\) −4.01526 + 60.4584i −0.153978 + 2.31847i
\(681\) 10.0454 4.83762i 0.384941 0.185378i
\(682\) −0.512774 + 0.233120i −0.0196351 + 0.00892662i
\(683\) 5.23185 + 10.8640i 0.200191 + 0.415701i 0.976761 0.214329i \(-0.0687566\pi\)
−0.776570 + 0.630031i \(0.783042\pi\)
\(684\) 15.3399 6.56874i 0.586536 0.251162i
\(685\) 23.6103i 0.902102i
\(686\) −16.0857 + 20.6700i −0.614155 + 0.789185i
\(687\) 26.8152i 1.02306i
\(688\) 17.1224 2.34273i 0.652787 0.0893158i
\(689\) 0.188802 + 0.392051i 0.00719278 + 0.0149360i
\(690\) 14.1838 + 31.1989i 0.539968 + 1.18772i
\(691\) −7.02323 + 3.38221i −0.267176 + 0.128665i −0.562676 0.826678i \(-0.690228\pi\)
0.295500 + 0.955343i \(0.404514\pi\)
\(692\) −6.49180 5.66406i −0.246781 0.215315i
\(693\) 11.6800 + 1.62537i 0.443686 + 0.0617425i
\(694\) −12.9748 6.60553i −0.492517 0.250742i
\(695\) 14.1981 + 11.3226i 0.538566 + 0.429492i
\(696\) 1.14350 17.2179i 0.0433444 0.652643i
\(697\) 21.2432 + 26.6381i 0.804644 + 1.00899i
\(698\) −18.3625 + 22.0097i −0.695030 + 0.833078i
\(699\) −9.87019 12.3768i −0.373325 0.468134i
\(700\) −12.7980 46.9138i −0.483719 1.77318i
\(701\) −3.11122 + 3.90135i −0.117509 + 0.147352i −0.837107 0.547039i \(-0.815755\pi\)
0.719598 + 0.694391i \(0.244326\pi\)
\(702\) 0.0218448 + 0.106508i 0.000824479 + 0.00401990i
\(703\) 13.9599 + 61.1625i 0.526509 + 2.30679i
\(704\) 24.6931 + 25.7234i 0.930657 + 0.969487i
\(705\) 1.60253i 0.0603547i
\(706\) 25.7826 30.9036i 0.970343 1.16307i
\(707\) 13.6836 4.39120i 0.514623 0.165148i
\(708\) 6.18260 + 3.32166i 0.232356 + 0.124836i
\(709\) −4.64857 + 20.3667i −0.174581 + 0.764888i 0.809493 + 0.587129i \(0.199742\pi\)
−0.984074 + 0.177759i \(0.943115\pi\)
\(710\) −1.03612 + 46.8641i −0.0388848 + 1.75878i
\(711\) −2.34693 1.87161i −0.0880168 0.0701910i
\(712\) −3.42179 21.4649i −0.128237 0.804430i
\(713\) −0.560472 0.127924i −0.0209898 0.00479080i
\(714\) 6.05250 + 20.3996i 0.226509 + 0.763436i
\(715\) 1.25845 0.287233i 0.0470634 0.0107419i
\(716\) −35.6883 9.82366i −1.33374 0.367127i
\(717\) 7.34047i 0.274135i
\(718\) −0.258179 + 0.309458i −0.00963514 + 0.0115489i
\(719\) −3.30991 1.59397i −0.123439 0.0594451i 0.371145 0.928575i \(-0.378965\pi\)
−0.494584 + 0.869130i \(0.664680\pi\)
\(720\) 5.31331 + 14.0999i 0.198015 + 0.525471i
\(721\) −4.54436 14.1608i −0.169241 0.527377i
\(722\) −69.4170 17.4669i −2.58343 0.650050i
\(723\) 8.17989 1.86701i 0.304213 0.0694347i
\(724\) −4.03908 9.43244i −0.150111 0.350554i
\(725\) −50.5138 24.3261i −1.87603 0.903450i
\(726\) −0.277153 + 12.5358i −0.0102861 + 0.465246i
\(727\) 21.9013 10.5471i 0.812275 0.391171i 0.0188372 0.999823i \(-0.494004\pi\)
0.793438 + 0.608652i \(0.208289\pi\)
\(728\) 0.116883 0.563323i 0.00433199 0.0208781i
\(729\) −0.900969 0.433884i −0.0333692 0.0160698i
\(730\) −5.02933 + 9.87878i −0.186144 + 0.365630i
\(731\) −5.46742 + 23.9543i −0.202220 + 0.885983i
\(732\) 18.6525 3.39783i 0.689418 0.125587i
\(733\) −0.308010 + 0.245630i −0.0113766 + 0.00907256i −0.629162 0.777275i \(-0.716602\pi\)
0.617785 + 0.786347i \(0.288030\pi\)
\(734\) −38.7628 + 29.5346i −1.43076 + 1.09014i
\(735\) −15.3438 21.4446i −0.565964 0.790997i
\(736\) 4.13511 + 36.1564i 0.152422 + 1.33274i
\(737\) 0.714437 + 0.895876i 0.0263166 + 0.0330000i
\(738\) 7.55062 + 3.84405i 0.277942 + 0.141501i
\(739\) −2.70373 0.617109i −0.0994584 0.0227007i 0.172502 0.985009i \(-0.444815\pi\)
−0.271960 + 0.962308i \(0.587672\pi\)
\(740\) −55.7302 + 10.1521i −2.04868 + 0.373197i
\(741\) 0.278318 0.577934i 0.0102243 0.0212309i
\(742\) 17.3684 + 12.1177i 0.637612 + 0.444856i
\(743\) −5.39373 11.2002i −0.197877 0.410896i 0.778294 0.627900i \(-0.216086\pi\)
−0.976171 + 0.217005i \(0.930371\pi\)
\(744\) −0.242146 0.0724483i −0.00887751 0.00265608i
\(745\) 8.21580 17.0603i 0.301004 0.625041i
\(746\) 8.86801 + 2.23139i 0.324681 + 0.0816969i
\(747\) −3.34175 14.6412i −0.122268 0.535692i
\(748\) −46.6023 + 19.9557i −1.70395 + 0.729651i
\(749\) −4.84308 + 4.59692i −0.176962 + 0.167968i
\(750\) 22.3150 + 0.493362i 0.814828 + 0.0180150i
\(751\) −10.7992 + 22.4248i −0.394069 + 0.818292i 0.605676 + 0.795711i \(0.292903\pi\)
−0.999745 + 0.0225810i \(0.992812\pi\)
\(752\) −0.523680 + 1.61909i −0.0190967 + 0.0590422i
\(753\) 8.32868 0.303514
\(754\) −0.402009 0.527618i −0.0146403 0.0192147i
\(755\) −9.73628 42.6574i −0.354340 1.55246i
\(756\) 3.46967 + 3.99517i 0.126191 + 0.145303i
\(757\) 8.21554 35.9946i 0.298599 1.30825i −0.573616 0.819124i \(-0.694460\pi\)
0.872215 0.489123i \(-0.162683\pi\)
\(758\) 17.1738 7.80765i 0.623781 0.283586i
\(759\) −17.8780 + 22.4184i −0.648932 + 0.813735i
\(760\) 25.4812 85.1666i 0.924300 3.08932i
\(761\) 5.48637 + 1.25223i 0.198881 + 0.0453932i 0.320801 0.947147i \(-0.396048\pi\)
−0.121920 + 0.992540i \(0.538905\pi\)
\(762\) −14.2180 + 6.46384i −0.515063 + 0.234160i
\(763\) 21.1348 12.5236i 0.765131 0.453383i
\(764\) −0.612218 + 13.8387i −0.0221493 + 0.500666i
\(765\) −21.4223 −0.774527
\(766\) 11.3236 8.62782i 0.409139 0.311736i
\(767\) 0.263025 0.0600337i 0.00949728 0.00216769i
\(768\) 0.760614 + 15.9819i 0.0274463 + 0.576698i
\(769\) −16.6358 13.2666i −0.599903 0.478406i 0.275828 0.961207i \(-0.411048\pi\)
−0.875730 + 0.482801i \(0.839620\pi\)
\(770\) 46.5095 42.2311i 1.67609 1.52190i
\(771\) −11.9240 + 9.50908i −0.429433 + 0.342461i
\(772\) −36.6902