Properties

Label 588.2.x.b.55.3
Level $588$
Weight $2$
Character 588.55
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 55.3
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.3

$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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 −0.120144 0.992756i \(-0.538336\pi\)
0.851077 0.525041i \(-0.175950\pi\)
\(6\) −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 0.987104 0.160078i \(-0.0511745\pi\)
0.0635872 + 0.997976i \(0.479746\pi\)
\(12\) 1.99805 0.0883928i 0.576786 0.0255168i
\(13\) 0.0601076 + 0.0479342i 0.0166708 + 0.0132946i 0.631790 0.775140i \(-0.282321\pi\)
−0.615119 + 0.788434i \(0.710892\pi\)
\(14\) 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 −0.511212 0.859454i \(-0.670803\pi\)
−0.833490 + 0.552535i \(0.813661\pi\)
\(18\) −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 −0.818946 0.573870i \(-0.805441\pi\)
−0.488852 + 0.872367i \(0.662584\pi\)
\(24\) −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 −0.677386 0.735627i \(-0.736888\pi\)
0.929481 0.368870i \(-0.120255\pi\)
\(30\) −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 −0.628892 0.777493i \(-0.716491\pi\)
0.903953 0.427631i \(-0.140652\pi\)
\(38\) −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 0.593307 + 0.804977i \(0.297822\pi\)
−0.999277 + 0.0380290i \(0.987892\pi\)
\(42\) −0.239392 + 3.73399i −0.0369390 + 0.576167i
\(43\) 1.87459 + 3.89263i 0.285873 + 0.593621i 0.993612 0.112853i \(-0.0359990\pi\)
−0.707739 + 0.706474i \(0.750285\pi\)
\(44\) 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 −0.762110 0.647447i \(-0.775837\pi\)
0.800800 + 0.598932i \(0.204408\pi\)
\(48\) 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 −0.984752 0.173965i \(-0.944342\pi\)
0.811750 0.584005i \(-0.198515\pi\)
\(54\) −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 −0.216604 0.976260i \(-0.569498\pi\)
0.628220 + 0.778036i \(0.283784\pi\)
\(60\) 2.96564 6.92563i 0.382862 0.894095i
\(61\) 9.24207 + 2.10944i 1.18333 + 0.270086i 0.768521 0.639824i \(-0.220993\pi\)
0.414805 + 0.909910i \(0.363850\pi\)
\(62\) −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 \(-0.995001\pi\)
0.999877 0.0157039i \(-0.00499893\pi\)
\(68\) −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 −0.698825 0.715293i \(-0.746293\pi\)
−0.319265 + 0.947665i \(0.603436\pi\)
\(72\) −2.79316 0.445267i −0.329177 0.0524752i
\(73\) −1.62689 + 1.29740i −0.190413 + 0.151849i −0.714056 0.700088i \(-0.753144\pi\)
0.523643 + 0.851938i \(0.324572\pi\)
\(74\) 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 \(0.0540107\pi\)
−0.985639 + 0.168867i \(0.945989\pi\)
\(80\) −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 0.956629 + 0.291309i \(0.0940909\pi\)
0.0711357 + 0.997467i \(0.477338\pi\)
\(84\) −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 −0.250997 0.967988i \(-0.580758\pi\)
0.887867 + 0.460101i \(0.152187\pi\)
\(90\) −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 \(0.0321095\pi\)
−0.994916 + 0.100704i \(0.967891\pi\)
\(98\) 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 −0.984699 0.174266i \(-0.944245\pi\)
0.750196 + 0.661215i \(0.229959\pi\)
\(102\) 7.32144 + 3.32851i 0.724930 + 0.329572i
\(103\) −5.06447 2.43892i −0.499017 0.240314i 0.167405 0.985888i \(-0.446461\pi\)
−0.666423 + 0.745574i \(0.732175\pi\)
\(104\) −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 −0.523455 0.852053i \(-0.675357\pi\)
0.714211 + 0.699931i \(0.246786\pi\)
\(108\) 1.31487 + 1.50702i 0.126523 + 0.145013i
\(109\) −5.78930 + 7.25955i −0.554514 + 0.695339i −0.977533 0.210782i \(-0.932399\pi\)
0.423019 + 0.906121i \(0.360970\pi\)
\(110\) −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 0.803598 + 0.595172i \(0.202916\pi\)
0.401433 + 0.915889i \(0.368512\pi\)
\(114\) −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 0.671683 0.740839i \(-0.265572\pi\)
0.283727 + 0.958905i \(0.408429\pi\)
\(128\) 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 −0.704358 0.709845i \(-0.748765\pi\)
0.115819 + 0.993270i \(0.463051\pi\)
\(132\) 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 −0.176812 0.984245i \(-0.556579\pi\)
0.659273 + 0.751904i \(0.270864\pi\)
\(138\) 9.09580 0.201099i 0.774286 0.0171187i
\(139\) 4.34349 + 2.09172i 0.368410 + 0.177417i 0.608924 0.793229i \(-0.291602\pi\)
−0.240514 + 0.970646i \(0.577316\pi\)
\(140\) −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 −0.893458 0.449148i \(-0.851728\pi\)
0.636700 + 0.771112i \(0.280299\pi\)
\(150\) 5.89638 + 11.5819i 0.481437 + 0.945655i
\(151\) −11.3242 + 2.58466i −0.921546 + 0.210337i −0.656873 0.754001i \(-0.728121\pi\)
−0.264673 + 0.964338i \(0.585264\pi\)
\(152\) −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 0.963905 + 0.266246i \(0.0857835\pi\)
−0.392825 + 0.919613i \(0.628502\pi\)
\(158\) −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 0.919309 0.393537i \(-0.128749\pi\)
−0.880859 + 0.473378i \(0.843034\pi\)
\(164\) 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 −0.999388 0.0349945i \(-0.988859\pi\)
0.915601 + 0.402089i \(0.131716\pi\)
\(168\) 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 −0.379166 0.925329i \(-0.623789\pi\)
0.0598688 + 0.998206i \(0.480932\pi\)
\(174\) −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 −0.513621 0.858017i \(-0.671696\pi\)
−0.835037 + 0.550195i \(0.814554\pi\)
\(180\) 5.67687 4.95304i 0.423129 0.369178i
\(181\) −4.01113 + 3.19877i −0.298145 + 0.237763i −0.761124 0.648607i \(-0.775352\pi\)
0.462979 + 0.886369i \(0.346781\pi\)
\(182\) −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 −0.763503 0.645804i \(-0.776522\pi\)
0.980946 + 0.194278i \(0.0622365\pi\)
\(192\) 4.11697 6.85934i 0.297117 0.495030i
\(193\) −16.5445 7.96742i −1.19090 0.573507i −0.269831 0.962908i \(-0.586968\pi\)
−0.921069 + 0.389400i \(0.872682\pi\)
\(194\) −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 −0.266047 0.963960i \(-0.585717\pi\)
−0.919532 + 0.393016i \(0.871432\pi\)
\(200\) 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 −0.714239 0.699902i \(-0.753227\pi\)
0.523421 + 0.852074i \(0.324656\pi\)
\(212\) −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 0.963000 0.269503i \(-0.0868593\pi\)
−0.984566 + 0.175016i \(0.944002\pi\)
\(224\) 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 0.802189 + 0.597071i \(0.203669\pi\)
−0.0333478 + 0.999444i \(0.510617\pi\)
\(230\) −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 0.718224 + 0.695812i \(0.244955\pi\)
−0.948999 + 0.315279i \(0.897902\pi\)
\(234\) −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 0.978218 0.207582i \(-0.0665594\pi\)
−0.772203 + 0.635376i \(0.780845\pi\)
\(240\) −1.33058 15.0089i −0.0858886 0.968821i
\(241\) 8.17989 1.86701i 0.526913 0.120264i 0.0492144 0.998788i \(-0.484328\pi\)
0.477699 + 0.878524i \(0.341471\pi\)
\(242\) −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 −0.181807 0.983334i \(-0.558194\pi\)
0.655447 + 0.755241i \(0.272480\pi\)
\(252\) 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 −0.268017 0.963414i \(-0.586368\pi\)
−0.659485 + 0.751718i \(0.729226\pi\)
\(258\) −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 \(0.0590533\pi\)
−0.982840 + 0.184459i \(0.940947\pi\)
\(264\) −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 −0.165364 0.986233i \(-0.552880\pi\)
0.924709 + 0.380676i \(0.124309\pi\)
\(270\) −5.32596 + 0.117752i −0.324128 + 0.00716613i
\(271\) 4.54435 + 19.9101i 0.276049 + 1.20945i 0.902741 + 0.430184i \(0.141551\pi\)
−0.626692 + 0.779267i \(0.715592\pi\)
\(272\) −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 −0.928509 0.371311i \(-0.878908\pi\)
0.997663 + 0.0683251i \(0.0217655\pi\)
\(278\) −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 −0.155596 0.987821i \(-0.549730\pi\)
0.997677 0.0681154i \(-0.0216986\pi\)
\(282\) −0.461969 + 0.385417i −0.0275099 + 0.0229513i
\(283\) −0.873038 + 1.09475i −0.0518967 + 0.0650764i −0.807102 0.590411i \(-0.798966\pi\)
0.755206 + 0.655488i \(0.227537\pi\)
\(284\) −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 \(-0.901612\pi\)
0.952609 0.304196i \(-0.0983879\pi\)
\(294\) 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 −0.998412 0.0563413i \(-0.982056\pi\)
0.277096 + 0.960842i \(0.410628\pi\)
\(308\) 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 0.229343 + 0.973346i \(0.426342\pi\)
−0.628950 + 0.777446i \(0.716515\pi\)
\(312\) −0.201738 0.0811581i −0.0114212 0.00459467i
\(313\) 16.9127i 0.955961i 0.878371 + 0.477980i \(0.158631\pi\)
−0.878371 + 0.477980i \(0.841369\pi\)
\(314\) −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 −0.863977 0.503532i \(-0.832034\pi\)
0.559942 0.828532i \(-0.310823\pi\)
\(318\) 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 0.645726 0.763569i \(-0.276555\pi\)
0.250479 + 0.968122i \(0.419412\pi\)
\(332\) 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 0.0889573 0.996035i \(-0.471647\pi\)
0.834196 + 0.551468i \(0.185932\pi\)
\(338\) 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 0.0555507 0.998456i \(-0.482309\pi\)
0.483263 + 0.875475i \(0.339451\pi\)
\(348\) 2.18673 12.0042i 0.117221 0.643492i
\(349\) 8.79407 + 18.2611i 0.470736 + 0.977493i 0.992251 + 0.124251i \(0.0396528\pi\)
−0.521515 + 0.853242i \(0.674633\pi\)
\(350\) 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 −0.916944 0.399016i \(-0.869352\pi\)
0.259742 0.965678i \(-0.416362\pi\)
\(354\) −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 0.904206 0.427096i \(-0.140463\pi\)
−0.897681 + 0.440647i \(0.854749\pi\)
\(360\) −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 0.902552 + 0.430580i \(0.141691\pi\)
0.218948 + 0.975737i \(0.429738\pi\)
\(368\) −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 0.317892 0.948127i \(-0.397025\pi\)
−0.853618 + 0.520900i \(0.825596\pi\)
\(380\) −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 0.595181 0.803592i \(-0.297080\pi\)
−0.915884 + 0.401443i \(0.868509\pi\)
\(384\) −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 −0.160369 0.987057i \(-0.551268\pi\)
−0.871701 + 0.490038i \(0.836983\pi\)
\(390\) −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 0.528162 + 0.849143i \(0.322881\pi\)
−0.993191 + 0.116498i \(0.962833\pi\)
\(398\) 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 0.955062 0.296406i \(-0.0957881\pi\)
−0.501496 + 0.865160i \(0.667217\pi\)
\(402\) −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 −0.455486 0.890243i \(-0.650535\pi\)
−0.796641 + 0.604453i \(0.793392\pi\)
\(410\) −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 0.905239 0.424902i \(-0.139692\pi\)
−0.999951 + 0.00994465i \(0.996834\pi\)
\(420\) −19.2301 5.24593i −0.938332 0.255975i
\(421\) −0.697356 + 3.05532i −0.0339870 + 0.148907i −0.989074 0.147418i \(-0.952904\pi\)
0.955087 + 0.296325i \(0.0957610\pi\)
\(422\) 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 0.962787 + 0.270260i \(0.0871096\pi\)
−0.388991 + 0.921242i \(0.627176\pi\)
\(432\) 3.74306 + 1.41051i 0.180088 + 0.0678632i
\(433\) −0.392179 + 0.814368i −0.0188469 + 0.0391360i −0.910180 0.414213i \(-0.864057\pi\)
0.891333 + 0.453349i \(0.149771\pi\)
\(434\) 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 −0.896451 0.443143i \(-0.853863\pi\)
0.631512 + 0.775366i \(0.282435\pi\)
\(440\) −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 0.904747 0.425949i \(-0.140060\pi\)
−0.213944 + 0.976846i \(0.568631\pi\)
\(444\) 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 −0.0164738 0.999864i \(-0.505244\pi\)
−0.791997 + 0.610525i \(0.790958\pi\)
\(450\) 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 −0.574533 0.818482i \(-0.694816\pi\)
0.281699 + 0.959503i \(0.409102\pi\)
\(458\) −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 0.296345 0.955081i \(-0.404232\pi\)
−0.147396 + 0.989078i \(0.547089\pi\)
\(462\) −11.2110 + 12.3468i −0.521581 + 0.574423i
\(463\) −23.8427 + 5.44194i −1.10807 + 0.252909i −0.737131 0.675750i \(-0.763820\pi\)
−0.370935 + 0.928659i \(0.620963\pi\)
\(464\) −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 0.939994 + 0.341192i \(0.110831\pi\)
−0.698867 + 0.715251i \(0.746312\pi\)
\(468\) 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 0.0312354 0.999512i \(-0.490056\pi\)
0.967502 0.252865i \(-0.0813727\pi\)
\(480\) 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 −0.955346 0.295489i \(-0.904517\pi\)
0.826671 + 0.562685i \(0.190232\pi\)
\(488\) −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 \(-0.880012\pi\)
0.929790 0.368090i \(-0.119988\pi\)
\(492\) −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 −0.830173 0.557506i \(-0.811758\pi\)
0.358797 + 0.933416i \(0.383187\pi\)
\(500\) −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 −0.994820 0.101651i \(-0.967588\pi\)
0.320470 + 0.947259i \(0.396159\pi\)
\(504\) −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 \(-0.797527\pi\)
0.804426 0.594053i \(-0.202473\pi\)
\(510\) 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 \(-0.952672\pi\)
0.988967 0.148139i \(-0.0473282\pi\)
\(522\) −6.62503 + 5.52721i −0.289970 + 0.241919i
\(523\) 5.75424 2.77109i 0.251615 0.121172i −0.303825 0.952728i \(-0.598264\pi\)
0.555441 + 0.831556i \(0.312550\pi\)
\(524\) −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 −0.987047 0.160433i \(-0.948711\pi\)
0.376049 + 0.926600i \(0.377282\pi\)
\(542\) −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 −0.542763 0.839886i \(-0.682622\pi\)
0.995056 0.0993113i \(-0.0316640\pi\)
\(548\) 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 0.839003 0.544127i \(-0.183139\pi\)
−0.717180 + 0.696888i \(0.754567\pi\)
\(564\) 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 −0.284688 0.958620i \(-0.591890\pi\)
−0.672425 + 0.740166i \(0.734747\pi\)
\(572\) 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 0.0207999 0.999784i \(-0.493379\pi\)
−0.970089 + 0.242751i \(0.921950\pi\)
\(578\) −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 −0.973007 0.230777i \(-0.925873\pi\)
0.787088 + 0.616840i \(0.211588\pi\)
\(594\) 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 −0.999943 0.0107201i \(-0.996588\pi\)
−0.232959 0.972486i \(-0.574841\pi\)
\(600\) 21.3513 + 14.8240i 0.871663 + 0.605185i
\(601\) −30.5095 24.3305i −1.24451 0.992464i −0.999738 0.0228831i \(-0.992715\pi\)
−0.244772 0.969581i \(-0.578713\pi\)
\(602\) −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 0.679495 0.733681i \(-0.262199\pi\)
−0.866487 + 0.499199i \(0.833628\pi\)
\(614\) 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 −0.563049 0.826423i \(-0.690372\pi\)
0.865862 0.500284i \(-0.166771\pi\)
\(618\) 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 −0.865357 0.501155i \(-0.832909\pi\)
0.147723 0.989029i \(-0.452806\pi\)
\(632\) −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 0.929010 + 0.370054i \(0.120661\pi\)
−0.676449 + 0.736489i \(0.736482\pi\)
\(642\) −3.18072 + 1.61932i −0.125533 + 0.0639094i
\(643\) 43.2035 20.8057i 1.70378 0.820497i 0.710641 0.703555i \(-0.248405\pi\)
0.993139 0.116943i \(-0.0373094\pi\)
\(644\) 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 −0.431386 0.902168i \(-0.641975\pi\)
0.436378 + 0.899763i \(0.356261\pi\)
\(648\) −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 0.391599 0.920136i \(-0.371922\pi\)
0.963549 + 0.267531i \(0.0862077\pi\)
\(654\) 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 0.556959 0.830540i \(-0.311968\pi\)
0.862160 + 0.506636i \(0.169111\pi\)
\(660\) 29.5808 15.8926i 1.15143 0.618619i
\(661\) 31.5131 25.1308i 1.22572 0.977476i 0.225722 0.974192i \(-0.427526\pi\)
0.999995 0.00328459i \(-0.00104552\pi\)
\(662\) −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 −0.375581 0.926790i \(-0.622557\pi\)
0.987128 + 0.159934i \(0.0511283\pi\)
\(674\) −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 −0.758927 0.651176i \(-0.774276\pi\)
0.465973 + 0.884799i \(0.345705\pi\)
\(678\) −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 −0.776570 0.630031i \(-0.783042\pi\)
0.976761 + 0.214329i \(0.0687566\pi\)
\(684\) 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 0.295500 0.955343i \(-0.404514\pi\)
−0.562676 + 0.826678i \(0.690228\pi\)
\(692\) −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 0.719598 0.694391i \(-0.244326\pi\)
−0.837107 + 0.547039i \(0.815755\pi\)
\(702\) 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 −0.984074 0.177759i \(-0.943115\pi\)
0.809493 0.587129i \(-0.199742\pi\)
\(710\) −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 −0.494584 0.869130i \(-0.664680\pi\)
0.371145 + 0.928575i \(0.378965\pi\)
\(720\) 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 0.793438 0.608652i \(-0.208289\pi\)
0.0188372 + 0.999823i \(0.494004\pi\)
\(728\) 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 0.617785 0.786347i \(-0.288030\pi\)
−0.629162 + 0.777275i \(0.716602\pi\)
\(734\) −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 −0.271960 0.962308i \(-0.587672\pi\)
0.172502 + 0.985009i \(0.444815\pi\)
\(740\) −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 −0.976171 0.217005i \(-0.930371\pi\)
0.778294 + 0.627900i \(0.216086\pi\)
\(744\) −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 −0.999745 0.0225810i \(-0.992812\pi\)
0.605676 0.795711i \(-0.292903\pi\)
\(752\) −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 0.872215 + 0.489123i \(0.162683\pi\)
−0.573616 + 0.819124i \(0.694460\pi\)
\(758\) 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 −0.121920 0.992540i \(-0.538905\pi\)
0.320801 + 0.947147i \(0.396048\pi\)
\(762\) −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 −0.875730 0.482801i \(-0.839620\pi\)
0.275828 + 0.961207i \(0.411048\pi\)
\(770\) 46.5095 + 42.2311i 1.67609 + 1.52190i
\(771\) −11.9240 9.50908i −0.429433 0.342461i
\(772\) −36.6902