Properties

Label 690.2.n.a.89.8
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.8
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.943600 + 1.45245i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.0269160 + 2.23591i) q^{5} +(1.57196 + 0.727290i) q^{6} +(-2.74772 + 1.76585i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.21924 - 2.74107i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.943600 + 1.45245i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.0269160 + 2.23591i) q^{5} +(1.57196 + 0.727290i) q^{6} +(-2.74772 + 1.76585i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.21924 - 2.74107i) q^{9} +(2.21698 - 0.291561i) q^{10} +(-0.103499 + 0.719848i) q^{11} +(0.496174 - 1.65946i) q^{12} +(-0.797957 + 1.24165i) q^{13} +(2.13892 + 2.46844i) q^{14} +(-3.22215 - 2.14889i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.487896 - 1.66162i) q^{17} +(-2.53965 + 1.59692i) q^{18} +(-1.66137 - 5.65810i) q^{19} +(-0.604102 - 2.15292i) q^{20} +(0.0279304 - 5.65718i) q^{21} +0.727250 q^{22} +(1.82495 + 4.43504i) q^{23} +(-1.71318 - 0.254958i) q^{24} +(-4.99855 - 0.120363i) q^{25} +(1.34257 + 0.613130i) q^{26} +(5.13175 + 0.815584i) q^{27} +(2.13892 - 2.46844i) q^{28} +(1.91557 - 6.52384i) q^{29} +(-1.66846 + 3.49517i) q^{30} +(-1.61915 - 3.54544i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-0.947884 - 0.829575i) q^{33} +(-1.71414 - 0.246456i) q^{34} +(-3.87432 - 6.19116i) q^{35} +(1.94210 + 2.28654i) q^{36} +(-7.28503 - 8.40738i) q^{37} +(-5.36407 + 2.44969i) q^{38} +(-1.05048 - 2.33061i) q^{39} +(-2.04503 + 0.904345i) q^{40} +(0.240142 + 0.208084i) q^{41} +(-5.60358 + 0.777455i) q^{42} +(-3.85328 + 8.43752i) q^{43} +(-0.103499 - 0.719848i) q^{44} +(6.16159 - 2.65233i) q^{45} +(4.13018 - 2.43755i) q^{46} +0.296017 q^{47} +(-0.00855129 + 1.73203i) q^{48} +(1.52381 - 3.33668i) q^{49} +(0.592230 + 4.96480i) q^{50} +(1.95305 + 2.27655i) q^{51} +(0.415822 - 1.41616i) q^{52} +(-1.32976 - 2.06915i) q^{53} +(0.0769591 - 5.19558i) q^{54} +(-1.60673 - 0.250788i) q^{55} +(-2.74772 - 1.76585i) q^{56} +(9.78579 + 2.92592i) q^{57} +(-6.73005 - 0.967635i) q^{58} +(-4.64023 + 7.22033i) q^{59} +(3.69704 + 1.15406i) q^{60} +(4.22497 - 1.92948i) q^{61} +(-3.27893 + 2.10724i) q^{62} +(8.19044 + 5.37868i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-2.75472 - 1.81758i) q^{65} +(-0.686233 + 1.05630i) q^{66} +(-0.0578385 - 0.402276i) q^{67} +1.73177i q^{68} +(-8.16371 - 1.53424i) q^{69} +(-5.57677 + 4.71598i) q^{70} +(-7.98308 + 1.14779i) q^{71} +(1.98687 - 2.24774i) q^{72} +(-0.808166 - 2.75236i) q^{73} +(-7.28503 + 8.40738i) q^{74} +(4.89145 - 7.14659i) q^{75} +(3.18814 + 4.96084i) q^{76} +(-0.986759 - 2.16070i) q^{77} +(-2.15739 + 1.37147i) q^{78} +(-1.78670 + 2.78017i) q^{79} +(1.18618 + 1.89552i) q^{80} +(-6.02691 + 6.68404i) q^{81} +(0.171790 - 0.267311i) q^{82} +(-11.9849 + 10.3850i) q^{83} +(1.56701 + 5.43590i) q^{84} +(3.70209 + 1.13561i) q^{85} +(8.90001 + 2.61328i) q^{86} +(7.66804 + 8.93817i) q^{87} +(-0.697792 + 0.204890i) q^{88} +(-3.56233 + 7.80041i) q^{89} +(-3.50221 - 5.72141i) q^{90} -4.82076i q^{91} +(-3.00053 - 3.74124i) q^{92} +(6.67742 + 0.993741i) q^{93} +(-0.0421276 - 0.293004i) q^{94} +(12.6957 - 3.56237i) q^{95} +(1.71562 - 0.238029i) q^{96} +(8.74637 - 10.0938i) q^{97} +(-3.51958 - 1.03344i) q^{98} +(2.09934 - 0.593970i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.943600 + 1.45245i −0.544788 + 0.838574i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −0.0269160 + 2.23591i −0.0120372 + 0.999928i
\(6\) 1.57196 + 0.727290i 0.641749 + 0.296915i
\(7\) −2.74772 + 1.76585i −1.03854 + 0.667429i −0.944625 0.328152i \(-0.893574\pi\)
−0.0939141 + 0.995580i \(0.529938\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −1.21924 2.74107i −0.406413 0.913689i
\(10\) 2.21698 0.291561i 0.701070 0.0921996i
\(11\) −0.103499 + 0.719848i −0.0312060 + 0.217042i −0.999457 0.0329357i \(-0.989514\pi\)
0.968251 + 0.249978i \(0.0804234\pi\)
\(12\) 0.496174 1.65946i 0.143233 0.479045i
\(13\) −0.797957 + 1.24165i −0.221313 + 0.344370i −0.934101 0.357010i \(-0.883796\pi\)
0.712787 + 0.701380i \(0.247433\pi\)
\(14\) 2.13892 + 2.46844i 0.571650 + 0.659719i
\(15\) −3.22215 2.14889i −0.831956 0.554842i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.487896 1.66162i 0.118332 0.403002i −0.878930 0.476951i \(-0.841742\pi\)
0.997262 + 0.0739488i \(0.0235601\pi\)
\(18\) −2.53965 + 1.59692i −0.598602 + 0.376399i
\(19\) −1.66137 5.65810i −0.381144 1.29806i −0.897247 0.441530i \(-0.854436\pi\)
0.516103 0.856527i \(-0.327382\pi\)
\(20\) −0.604102 2.15292i −0.135081 0.481407i
\(21\) 0.0279304 5.65718i 0.00609491 1.23450i
\(22\) 0.727250 0.155050
\(23\) 1.82495 + 4.43504i 0.380529 + 0.924769i
\(24\) −1.71318 0.254958i −0.349702 0.0520430i
\(25\) −4.99855 0.120363i −0.999710 0.0240726i
\(26\) 1.34257 + 0.613130i 0.263299 + 0.120245i
\(27\) 5.13175 + 0.815584i 0.987605 + 0.156959i
\(28\) 2.13892 2.46844i 0.404217 0.466492i
\(29\) 1.91557 6.52384i 0.355713 1.21145i −0.566271 0.824219i \(-0.691615\pi\)
0.921984 0.387228i \(-0.126567\pi\)
\(30\) −1.66846 + 3.49517i −0.304618 + 0.638128i
\(31\) −1.61915 3.54544i −0.290808 0.636780i 0.706687 0.707527i \(-0.250189\pi\)
−0.997494 + 0.0707465i \(0.977462\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −0.947884 0.829575i −0.165005 0.144411i
\(34\) −1.71414 0.246456i −0.293973 0.0422669i
\(35\) −3.87432 6.19116i −0.654879 1.04650i
\(36\) 1.94210 + 2.28654i 0.323683 + 0.381089i
\(37\) −7.28503 8.40738i −1.19765 1.38216i −0.904707 0.426035i \(-0.859910\pi\)
−0.292945 0.956129i \(-0.594635\pi\)
\(38\) −5.36407 + 2.44969i −0.870167 + 0.397392i
\(39\) −1.05048 2.33061i −0.168211 0.373197i
\(40\) −2.04503 + 0.904345i −0.323348 + 0.142990i
\(41\) 0.240142 + 0.208084i 0.0375038 + 0.0324973i 0.673411 0.739268i \(-0.264828\pi\)
−0.635907 + 0.771766i \(0.719374\pi\)
\(42\) −5.60358 + 0.777455i −0.864651 + 0.119964i
\(43\) −3.85328 + 8.43752i −0.587620 + 1.28671i 0.349249 + 0.937030i \(0.386437\pi\)
−0.936870 + 0.349679i \(0.886291\pi\)
\(44\) −0.103499 0.719848i −0.0156030 0.108521i
\(45\) 6.16159 2.65233i 0.918515 0.395385i
\(46\) 4.13018 2.43755i 0.608961 0.359397i
\(47\) 0.296017 0.0431785 0.0215892 0.999767i \(-0.493127\pi\)
0.0215892 + 0.999767i \(0.493127\pi\)
\(48\) −0.00855129 + 1.73203i −0.00123427 + 0.249997i
\(49\) 1.52381 3.33668i 0.217688 0.476669i
\(50\) 0.592230 + 4.96480i 0.0837540 + 0.702129i
\(51\) 1.95305 + 2.27655i 0.273481 + 0.318781i
\(52\) 0.415822 1.41616i 0.0576642 0.196386i
\(53\) −1.32976 2.06915i −0.182656 0.284219i 0.737835 0.674981i \(-0.235848\pi\)
−0.920492 + 0.390762i \(0.872212\pi\)
\(54\) 0.0769591 5.19558i 0.0104728 0.707029i
\(55\) −1.60673 0.250788i −0.216651 0.0338163i
\(56\) −2.74772 1.76585i −0.367179 0.235972i
\(57\) 9.78579 + 2.92592i 1.29616 + 0.387548i
\(58\) −6.73005 0.967635i −0.883699 0.127057i
\(59\) −4.64023 + 7.22033i −0.604106 + 0.940008i 0.395660 + 0.918397i \(0.370516\pi\)
−0.999766 + 0.0216106i \(0.993121\pi\)
\(60\) 3.69704 + 1.15406i 0.477286 + 0.148989i
\(61\) 4.22497 1.92948i 0.540953 0.247045i −0.126149 0.992011i \(-0.540262\pi\)
0.667102 + 0.744966i \(0.267535\pi\)
\(62\) −3.27893 + 2.10724i −0.416424 + 0.267619i
\(63\) 8.19044 + 5.37868i 1.03190 + 0.677651i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −2.75472 1.81758i −0.341682 0.225443i
\(66\) −0.686233 + 1.05630i −0.0844695 + 0.130021i
\(67\) −0.0578385 0.402276i −0.00706610 0.0491458i 0.985983 0.166844i \(-0.0533576\pi\)
−0.993049 + 0.117698i \(0.962449\pi\)
\(68\) 1.73177i 0.210008i
\(69\) −8.16371 1.53424i −0.982795 0.184701i
\(70\) −5.57677 + 4.71598i −0.666552 + 0.563667i
\(71\) −7.98308 + 1.14779i −0.947417 + 0.136218i −0.598667 0.800998i \(-0.704303\pi\)
−0.348750 + 0.937216i \(0.613394\pi\)
\(72\) 1.98687 2.24774i 0.234155 0.264899i
\(73\) −0.808166 2.75236i −0.0945887 0.322140i 0.898583 0.438804i \(-0.144598\pi\)
−0.993171 + 0.116665i \(0.962780\pi\)
\(74\) −7.28503 + 8.40738i −0.846868 + 0.977337i
\(75\) 4.89145 7.14659i 0.564816 0.825217i
\(76\) 3.18814 + 4.96084i 0.365705 + 0.569048i
\(77\) −0.986759 2.16070i −0.112452 0.246235i
\(78\) −2.15739 + 1.37147i −0.244276 + 0.155288i
\(79\) −1.78670 + 2.78017i −0.201020 + 0.312793i −0.927098 0.374819i \(-0.877705\pi\)
0.726078 + 0.687612i \(0.241341\pi\)
\(80\) 1.18618 + 1.89552i 0.132619 + 0.211925i
\(81\) −6.02691 + 6.68404i −0.669657 + 0.742671i
\(82\) 0.171790 0.267311i 0.0189711 0.0295196i
\(83\) −11.9849 + 10.3850i −1.31552 + 1.13990i −0.335272 + 0.942122i \(0.608828\pi\)
−0.980246 + 0.197781i \(0.936626\pi\)
\(84\) 1.56701 + 5.43590i 0.170975 + 0.593105i
\(85\) 3.70209 + 1.13561i 0.401548 + 0.123175i
\(86\) 8.90001 + 2.61328i 0.959713 + 0.281797i
\(87\) 7.66804 + 8.93817i 0.822100 + 0.958273i
\(88\) −0.697792 + 0.204890i −0.0743848 + 0.0218414i
\(89\) −3.56233 + 7.80041i −0.377606 + 0.826841i 0.621452 + 0.783452i \(0.286543\pi\)
−0.999058 + 0.0433895i \(0.986184\pi\)
\(90\) −3.50221 5.72141i −0.369166 0.603089i
\(91\) 4.82076i 0.505353i
\(92\) −3.00053 3.74124i −0.312826 0.390051i
\(93\) 6.67742 + 0.993741i 0.692416 + 0.103046i
\(94\) −0.0421276 0.293004i −0.00434513 0.0302210i
\(95\) 12.6957 3.56237i 1.30255 0.365491i
\(96\) 1.71562 0.238029i 0.175099 0.0242938i
\(97\) 8.74637 10.0938i 0.888059 1.02487i −0.111457 0.993769i \(-0.535552\pi\)
0.999516 0.0311057i \(-0.00990284\pi\)
\(98\) −3.51958 1.03344i −0.355532 0.104394i
\(99\) 2.09934 0.593970i 0.210992 0.0596963i
\(100\) 4.82998 1.29277i 0.482998 0.129277i
\(101\) 4.21978 3.65646i 0.419884 0.363831i −0.419144 0.907920i \(-0.637670\pi\)
0.839028 + 0.544088i \(0.183124\pi\)
\(102\) 1.97543 2.25715i 0.195597 0.223492i
\(103\) 2.60682 18.1308i 0.256857 1.78648i −0.298030 0.954557i \(-0.596329\pi\)
0.554887 0.831926i \(-0.312761\pi\)
\(104\) −1.46092 0.210049i −0.143255 0.0205970i
\(105\) 12.6482 + 0.214718i 1.23434 + 0.0209544i
\(106\) −1.85884 + 1.61069i −0.180547 + 0.156444i
\(107\) −9.34180 + 4.26626i −0.903106 + 0.412435i −0.812169 0.583422i \(-0.801713\pi\)
−0.0909369 + 0.995857i \(0.528986\pi\)
\(108\) −5.15365 + 0.663233i −0.495910 + 0.0638196i
\(109\) −3.44409 + 11.7295i −0.329884 + 1.12348i 0.612922 + 0.790143i \(0.289994\pi\)
−0.942807 + 0.333340i \(0.891824\pi\)
\(110\) −0.0195746 + 1.62606i −0.00186637 + 0.155039i
\(111\) 19.0855 2.64797i 1.81151 0.251334i
\(112\) −1.35684 + 2.97106i −0.128209 + 0.280738i
\(113\) −9.35371 + 1.34486i −0.879923 + 0.126514i −0.567445 0.823411i \(-0.692068\pi\)
−0.312478 + 0.949925i \(0.601159\pi\)
\(114\) 1.50348 10.1026i 0.140814 0.946194i
\(115\) −9.96544 + 3.96105i −0.929282 + 0.369370i
\(116\) 6.79926i 0.631295i
\(117\) 4.37634 + 0.673392i 0.404592 + 0.0622552i
\(118\) 7.80722 + 3.56544i 0.718712 + 0.328225i
\(119\) 1.59357 + 5.42721i 0.146083 + 0.497512i
\(120\) 0.616174 3.82365i 0.0562487 0.349050i
\(121\) 10.0470 + 2.95005i 0.913359 + 0.268187i
\(122\) −2.51112 3.90738i −0.227346 0.353757i
\(123\) −0.528830 + 0.152447i −0.0476830 + 0.0137456i
\(124\) 2.55243 + 2.94566i 0.229215 + 0.264528i
\(125\) 0.403661 11.1731i 0.0361046 0.999348i
\(126\) 4.15832 8.87254i 0.370452 0.790429i
\(127\) 11.0052 + 1.58231i 0.976553 + 0.140407i 0.612070 0.790803i \(-0.290337\pi\)
0.364482 + 0.931210i \(0.381246\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −8.61914 13.5584i −0.758873 1.19375i
\(130\) −1.40704 + 2.98535i −0.123405 + 0.261833i
\(131\) 7.01612 + 10.9173i 0.613001 + 0.953848i 0.999502 + 0.0315591i \(0.0100472\pi\)
−0.386501 + 0.922289i \(0.626316\pi\)
\(132\) 1.14321 + 0.528922i 0.0995034 + 0.0460367i
\(133\) 14.5563 + 12.6131i 1.26219 + 1.09370i
\(134\) −0.389950 + 0.114500i −0.0336866 + 0.00989126i
\(135\) −1.96170 + 11.4522i −0.168836 + 0.985644i
\(136\) 1.71414 0.246456i 0.146986 0.0211335i
\(137\) 2.34987i 0.200763i 0.994949 + 0.100382i \(0.0320064\pi\)
−0.994949 + 0.100382i \(0.967994\pi\)
\(138\) −0.356805 + 8.29896i −0.0303732 + 0.706454i
\(139\) 0.917075 0.0777853 0.0388926 0.999243i \(-0.487617\pi\)
0.0388926 + 0.999243i \(0.487617\pi\)
\(140\) 5.46163 + 4.84886i 0.461592 + 0.409803i
\(141\) −0.279321 + 0.429950i −0.0235231 + 0.0362084i
\(142\) 2.27222 + 7.73848i 0.190681 + 0.649398i
\(143\) −0.811209 0.702916i −0.0678367 0.0587808i
\(144\) −2.50762 1.64676i −0.208969 0.137230i
\(145\) 14.5351 + 4.45864i 1.20708 + 0.370269i
\(146\) −2.60933 + 1.19164i −0.215950 + 0.0986210i
\(147\) 3.40851 + 5.36176i 0.281129 + 0.442231i
\(148\) 9.35857 + 6.01439i 0.769270 + 0.494380i
\(149\) 1.45041 10.0879i 0.118823 0.826429i −0.840033 0.542535i \(-0.817465\pi\)
0.958856 0.283894i \(-0.0916264\pi\)
\(150\) −7.76997 3.82460i −0.634415 0.312277i
\(151\) −17.7643 11.4164i −1.44564 0.929054i −0.999417 0.0341294i \(-0.989134\pi\)
−0.446218 0.894924i \(-0.647229\pi\)
\(152\) 4.45663 3.86169i 0.361480 0.313225i
\(153\) −5.14948 + 0.688557i −0.416310 + 0.0556665i
\(154\) −1.99828 + 1.28422i −0.161026 + 0.103485i
\(155\) 7.97086 3.52484i 0.640235 0.283122i
\(156\) 1.66454 + 1.94025i 0.133270 + 0.155344i
\(157\) −15.3988 + 4.52150i −1.22896 + 0.360855i −0.830857 0.556485i \(-0.812149\pi\)
−0.398103 + 0.917341i \(0.630331\pi\)
\(158\) 3.00614 + 1.37286i 0.239156 + 0.109219i
\(159\) 4.26010 + 0.0210327i 0.337848 + 0.00166801i
\(160\) 1.70741 1.44387i 0.134983 0.114148i
\(161\) −12.8461 8.96362i −1.01241 0.706432i
\(162\) 7.47372 + 5.01433i 0.587191 + 0.393963i
\(163\) −14.5365 + 2.09003i −1.13859 + 0.163704i −0.685714 0.727871i \(-0.740510\pi\)
−0.452872 + 0.891575i \(0.649601\pi\)
\(164\) −0.289038 0.131999i −0.0225701 0.0103074i
\(165\) 1.88037 2.09705i 0.146386 0.163255i
\(166\) 11.9849 + 10.3850i 0.930212 + 0.806033i
\(167\) 4.12542 + 1.21133i 0.319234 + 0.0937357i 0.437424 0.899255i \(-0.355891\pi\)
−0.118190 + 0.992991i \(0.537709\pi\)
\(168\) 5.15756 2.32467i 0.397914 0.179352i
\(169\) 4.49545 + 9.84366i 0.345804 + 0.757204i
\(170\) 0.597191 3.82603i 0.0458025 0.293443i
\(171\) −13.4836 + 11.4525i −1.03112 + 0.875794i
\(172\) 1.32008 9.18133i 0.100655 0.700070i
\(173\) 2.27457 15.8200i 0.172932 1.20277i −0.699716 0.714421i \(-0.746690\pi\)
0.872648 0.488349i \(-0.162401\pi\)
\(174\) 7.75592 8.86202i 0.587975 0.671828i
\(175\) 13.9471 8.49597i 1.05430 0.642235i
\(176\) 0.302111 + 0.661530i 0.0227725 + 0.0498647i
\(177\) −6.10868 13.5528i −0.459156 1.01869i
\(178\) 8.22798 + 2.41595i 0.616713 + 0.181083i
\(179\) 13.3592 + 11.5758i 0.998511 + 0.865215i 0.990879 0.134756i \(-0.0430252\pi\)
0.00763206 + 0.999971i \(0.497571\pi\)
\(180\) −5.16475 + 4.28081i −0.384958 + 0.319073i
\(181\) −18.4414 8.42192i −1.37074 0.625997i −0.412238 0.911076i \(-0.635253\pi\)
−0.958504 + 0.285080i \(0.907980\pi\)
\(182\) −4.77169 + 0.686066i −0.353701 + 0.0508546i
\(183\) −1.18420 + 7.95724i −0.0875389 + 0.588216i
\(184\) −3.27614 + 3.50242i −0.241520 + 0.258202i
\(185\) 18.9942 16.0624i 1.39648 1.18093i
\(186\) 0.0333301 6.75088i 0.00244388 0.494998i
\(187\) 1.14562 + 0.523186i 0.0837758 + 0.0382591i
\(188\) −0.284026 + 0.0833976i −0.0207147 + 0.00608239i
\(189\) −15.5408 + 6.82090i −1.13043 + 0.496147i
\(190\) −5.33289 12.0595i −0.386889 0.874887i
\(191\) 0.401041 0.257733i 0.0290183 0.0186489i −0.526051 0.850453i \(-0.676328\pi\)
0.555070 + 0.831804i \(0.312692\pi\)
\(192\) −0.479764 1.66428i −0.0346240 0.120109i
\(193\) 2.50162 2.16767i 0.180070 0.156032i −0.560162 0.828383i \(-0.689261\pi\)
0.740232 + 0.672351i \(0.234716\pi\)
\(194\) −11.2358 7.22084i −0.806687 0.518426i
\(195\) 5.23930 2.28604i 0.375194 0.163707i
\(196\) −0.522035 + 3.63083i −0.0372882 + 0.259345i
\(197\) 2.16157 + 1.38916i 0.154006 + 0.0989735i 0.615374 0.788235i \(-0.289005\pi\)
−0.461368 + 0.887209i \(0.652641\pi\)
\(198\) −0.886692 1.99344i −0.0630145 0.141668i
\(199\) 8.19677 3.74334i 0.581053 0.265358i −0.103130 0.994668i \(-0.532886\pi\)
0.684184 + 0.729310i \(0.260159\pi\)
\(200\) −1.96699 4.59684i −0.139087 0.325046i
\(201\) 0.638863 + 0.295580i 0.0450619 + 0.0208486i
\(202\) −4.21978 3.65646i −0.296903 0.257268i
\(203\) 6.25667 + 21.3083i 0.439132 + 1.49555i
\(204\) −2.51531 1.63410i −0.176107 0.114410i
\(205\) −0.471720 + 0.531334i −0.0329464 + 0.0371100i
\(206\) −18.3173 −1.27622
\(207\) 9.93168 10.4097i 0.690299 0.723524i
\(208\) 1.47595i 0.102338i
\(209\) 4.24492 0.610327i 0.293627 0.0422172i
\(210\) −1.58749 12.5500i −0.109547 0.866032i
\(211\) −15.4355 + 4.53227i −1.06262 + 0.312014i −0.765907 0.642951i \(-0.777710\pi\)
−0.296716 + 0.954966i \(0.595892\pi\)
\(212\) 1.85884 + 1.61069i 0.127666 + 0.110623i
\(213\) 5.86572 12.6781i 0.401912 0.868689i
\(214\) 5.55231 + 8.63957i 0.379548 + 0.590589i
\(215\) −18.7618 8.84268i −1.27954 0.603066i
\(216\) 1.38992 + 5.00681i 0.0945723 + 0.340670i
\(217\) 10.7097 + 6.88270i 0.727021 + 0.467228i
\(218\) 12.1003 + 1.73975i 0.819533 + 0.117831i
\(219\) 4.76026 + 1.42330i 0.321669 + 0.0961780i
\(220\) 1.61230 0.212038i 0.108701 0.0142956i
\(221\) 1.67382 + 1.93169i 0.112594 + 0.129940i
\(222\) −5.33716 18.5144i −0.358207 1.24260i
\(223\) 1.88085 + 2.92665i 0.125951 + 0.195983i 0.898502 0.438969i \(-0.144656\pi\)
−0.772551 + 0.634952i \(0.781020\pi\)
\(224\) 3.13391 + 0.920200i 0.209393 + 0.0614834i
\(225\) 5.76450 + 13.8481i 0.384300 + 0.923208i
\(226\) 2.66234 + 9.06711i 0.177097 + 0.603135i
\(227\) −18.4257 8.41476i −1.22296 0.558507i −0.303930 0.952695i \(-0.598299\pi\)
−0.919030 + 0.394188i \(0.871026\pi\)
\(228\) −10.2137 0.0504267i −0.676420 0.00333959i
\(229\) 9.44144i 0.623908i 0.950097 + 0.311954i \(0.100983\pi\)
−0.950097 + 0.311954i \(0.899017\pi\)
\(230\) 5.33897 + 9.30029i 0.352041 + 0.613243i
\(231\) 4.06942 + 0.605616i 0.267748 + 0.0398466i
\(232\) 6.73005 0.967635i 0.441850 0.0635284i
\(233\) −4.97061 + 10.8841i −0.325636 + 0.713042i −0.999671 0.0256568i \(-0.991832\pi\)
0.674035 + 0.738699i \(0.264560\pi\)
\(234\) 0.0437208 4.42762i 0.00285812 0.289443i
\(235\) −0.00796757 + 0.661866i −0.000519747 + 0.0431754i
\(236\) 2.41806 8.23516i 0.157402 0.536063i
\(237\) −2.35213 5.21847i −0.152787 0.338976i
\(238\) 5.14518 2.34973i 0.333513 0.152310i
\(239\) 15.5939 13.5122i 1.00869 0.874034i 0.0166366 0.999862i \(-0.494704\pi\)
0.992052 + 0.125828i \(0.0401587\pi\)
\(240\) −3.87243 0.0657391i −0.249964 0.00424344i
\(241\) −9.29277 1.33610i −0.598600 0.0860657i −0.163647 0.986519i \(-0.552326\pi\)
−0.434953 + 0.900453i \(0.643235\pi\)
\(242\) 1.49019 10.3645i 0.0957933 0.666257i
\(243\) −4.02125 15.0609i −0.257964 0.966155i
\(244\) −3.51024 + 3.04164i −0.224720 + 0.194721i
\(245\) 7.41950 + 3.49691i 0.474014 + 0.223410i
\(246\) 0.226155 + 0.501752i 0.0144191 + 0.0319905i
\(247\) 8.35105 + 2.45209i 0.531365 + 0.156023i
\(248\) 2.55243 2.94566i 0.162079 0.187050i
\(249\) −3.77475 27.2068i −0.239215 1.72416i
\(250\) −11.1168 + 1.19054i −0.703086 + 0.0752962i
\(251\) 3.51524 + 24.4491i 0.221880 + 1.54321i 0.730917 + 0.682466i \(0.239092\pi\)
−0.509037 + 0.860745i \(0.669998\pi\)
\(252\) −9.37402 2.85330i −0.590508 0.179741i
\(253\) −3.38143 + 0.854670i −0.212589 + 0.0537327i
\(254\) 11.1184i 0.697628i
\(255\) −5.14272 + 4.30555i −0.322050 + 0.269624i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 1.94338 0.570628i 0.121225 0.0355948i −0.220557 0.975374i \(-0.570788\pi\)
0.341782 + 0.939779i \(0.388969\pi\)
\(258\) −12.1937 + 10.4610i −0.759148 + 0.651271i
\(259\) 34.8634 + 10.2368i 2.16630 + 0.636084i
\(260\) 3.15521 + 0.967857i 0.195678 + 0.0600239i
\(261\) −20.2178 + 2.70341i −1.25145 + 0.167337i
\(262\) 9.80767 8.49840i 0.605920 0.525033i
\(263\) −10.8582 + 16.8957i −0.669547 + 1.04184i 0.325796 + 0.945440i \(0.394368\pi\)
−0.995343 + 0.0963952i \(0.969269\pi\)
\(264\) 0.360843 1.20684i 0.0222083 0.0742761i
\(265\) 4.66221 2.91752i 0.286397 0.179222i
\(266\) 10.4132 16.2032i 0.638472 0.993481i
\(267\) −7.96831 12.5346i −0.487653 0.767103i
\(268\) 0.168830 + 0.369686i 0.0103129 + 0.0225822i
\(269\) −7.98286 12.4216i −0.486723 0.757356i 0.507844 0.861449i \(-0.330443\pi\)
−0.994568 + 0.104093i \(0.966806\pi\)
\(270\) 11.6148 + 0.311917i 0.706852 + 0.0189827i
\(271\) −5.87144 + 6.77600i −0.356664 + 0.411613i −0.905519 0.424305i \(-0.860518\pi\)
0.548855 + 0.835918i \(0.315064\pi\)
\(272\) −0.487896 1.66162i −0.0295830 0.100751i
\(273\) 7.00193 + 4.54887i 0.423776 + 0.275310i
\(274\) 2.32595 0.334422i 0.140516 0.0202032i
\(275\) 0.603986 3.58574i 0.0364217 0.216228i
\(276\) 8.26526 0.827892i 0.497510 0.0498332i
\(277\) 32.6649i 1.96264i 0.192377 + 0.981321i \(0.438380\pi\)
−0.192377 + 0.981321i \(0.561620\pi\)
\(278\) −0.130513 0.907741i −0.00782767 0.0544427i
\(279\) −7.74417 + 8.76094i −0.463631 + 0.524504i
\(280\) 4.02223 6.09611i 0.240374 0.364312i
\(281\) 3.24036 3.73957i 0.193304 0.223084i −0.650821 0.759231i \(-0.725575\pi\)
0.844125 + 0.536147i \(0.180121\pi\)
\(282\) 0.465326 + 0.215290i 0.0277097 + 0.0128203i
\(283\) −7.79627 + 5.01036i −0.463440 + 0.297835i −0.751447 0.659793i \(-0.770644\pi\)
0.288007 + 0.957628i \(0.407007\pi\)
\(284\) 7.33634 3.35039i 0.435332 0.198809i
\(285\) −6.80548 + 21.8013i −0.403122 + 1.29140i
\(286\) −0.580315 + 0.902987i −0.0343147 + 0.0533948i
\(287\) −1.02729 0.147702i −0.0606388 0.00871854i
\(288\) −1.27313 + 2.71646i −0.0750199 + 0.160069i
\(289\) 11.7784 + 7.56950i 0.692845 + 0.445265i
\(290\) 2.34469 15.0217i 0.137685 0.882106i
\(291\) 6.40777 + 22.2282i 0.375630 + 1.30304i
\(292\) 1.55086 + 2.41319i 0.0907572 + 0.141221i
\(293\) −6.42750 + 21.8900i −0.375498 + 1.27883i 0.527636 + 0.849471i \(0.323079\pi\)
−0.903134 + 0.429359i \(0.858740\pi\)
\(294\) 4.82211 4.13687i 0.281231 0.241267i
\(295\) −16.0191 10.5695i −0.932668 0.615377i
\(296\) 4.62131 10.1192i 0.268608 0.588169i
\(297\) −1.11822 + 3.60967i −0.0648860 + 0.209454i
\(298\) −10.1916 −0.590383
\(299\) −6.96298 1.27302i −0.402679 0.0736207i
\(300\) −2.67989 + 8.23518i −0.154723 + 0.475458i
\(301\) −4.31165 29.9882i −0.248520 1.72849i
\(302\) −8.77208 + 19.2082i −0.504776 + 1.10531i
\(303\) 1.32905 + 9.57926i 0.0763521 + 0.550314i
\(304\) −4.45663 3.86169i −0.255605 0.221483i
\(305\) 4.20042 + 9.49858i 0.240515 + 0.543887i
\(306\) 1.41439 + 4.99907i 0.0808556 + 0.285778i
\(307\) −16.0568 + 7.33288i −0.916408 + 0.418509i −0.817066 0.576544i \(-0.804401\pi\)
−0.0993417 + 0.995053i \(0.531674\pi\)
\(308\) 1.55553 + 1.79518i 0.0886344 + 0.102290i
\(309\) 23.8744 + 20.8945i 1.35817 + 1.18865i
\(310\) −4.62333 7.38809i −0.262588 0.419615i
\(311\) −22.4582 3.22901i −1.27349 0.183100i −0.527786 0.849377i \(-0.676978\pi\)
−0.745704 + 0.666277i \(0.767887\pi\)
\(312\) 1.68361 1.92372i 0.0953159 0.108909i
\(313\) −6.80241 7.85039i −0.384495 0.443731i 0.530202 0.847871i \(-0.322116\pi\)
−0.914697 + 0.404141i \(0.867571\pi\)
\(314\) 6.66696 + 14.5986i 0.376238 + 0.823847i
\(315\) −12.2467 + 18.1683i −0.690023 + 1.02367i
\(316\) 0.931067 3.17092i 0.0523766 0.178378i
\(317\) −1.99686 + 2.30450i −0.112155 + 0.129434i −0.809051 0.587738i \(-0.800018\pi\)
0.696896 + 0.717172i \(0.254564\pi\)
\(318\) −0.585456 4.21973i −0.0328308 0.236631i
\(319\) 4.49791 + 2.05413i 0.251835 + 0.115009i
\(320\) −1.67216 1.48455i −0.0934765 0.0829888i
\(321\) 2.61838 17.5942i 0.146144 0.982011i
\(322\) −7.04420 + 13.9910i −0.392558 + 0.779686i
\(323\) −10.2122 −0.568221
\(324\) 3.89967 8.11126i 0.216648 0.450626i
\(325\) 4.13808 6.11038i 0.229539 0.338943i
\(326\) 4.13752 + 14.0911i 0.229156 + 0.780433i
\(327\) −13.7867 16.0703i −0.762407 0.888692i
\(328\) −0.0895214 + 0.304882i −0.00494299 + 0.0168343i
\(329\) −0.813370 + 0.522721i −0.0448425 + 0.0288186i
\(330\) −2.34331 1.56278i −0.128995 0.0860285i
\(331\) −20.2113 23.3251i −1.11091 1.28206i −0.955753 0.294172i \(-0.904956\pi\)
−0.155160 0.987889i \(-0.549589\pi\)
\(332\) 8.57367 13.3409i 0.470541 0.732176i
\(333\) −14.1630 + 30.2194i −0.776127 + 1.65601i
\(334\) 0.611894 4.25582i 0.0334814 0.232868i
\(335\) 0.901008 0.118494i 0.0492273 0.00647401i
\(336\) −3.03501 4.77423i −0.165573 0.260455i
\(337\) −6.43537 14.0915i −0.350557 0.767613i −0.999974 0.00718065i \(-0.997714\pi\)
0.649417 0.760432i \(-0.275013\pi\)
\(338\) 9.10369 5.85059i 0.495176 0.318230i
\(339\) 6.87281 14.8548i 0.373280 0.806804i
\(340\) −3.87207 0.0466122i −0.209993 0.00252790i
\(341\) 2.71976 0.798593i 0.147283 0.0432463i
\(342\) 13.2548 + 11.7165i 0.716740 + 0.633557i
\(343\) −1.54874 10.7717i −0.0836240 0.581618i
\(344\) −9.27575 −0.500115
\(345\) 3.65015 18.2120i 0.196517 0.980500i
\(346\) −15.9827 −0.859233
\(347\) 3.43226 + 23.8719i 0.184254 + 1.28151i 0.846566 + 0.532284i \(0.178666\pi\)
−0.662312 + 0.749228i \(0.730425\pi\)
\(348\) −9.87560 6.41578i −0.529388 0.343922i
\(349\) −4.83714 + 1.42031i −0.258926 + 0.0760276i −0.408619 0.912705i \(-0.633990\pi\)
0.149693 + 0.988733i \(0.452171\pi\)
\(350\) −10.3944 12.5961i −0.555603 0.673289i
\(351\) −5.10758 + 5.72101i −0.272622 + 0.305365i
\(352\) 0.611802 0.393181i 0.0326092 0.0209566i
\(353\) −6.56143 14.3675i −0.349230 0.764707i −0.999985 0.00541925i \(-0.998275\pi\)
0.650756 0.759287i \(-0.274452\pi\)
\(354\) −12.5455 + 7.97527i −0.666787 + 0.423881i
\(355\) −2.35149 17.8803i −0.124804 0.948988i
\(356\) 1.22040 8.48806i 0.0646810 0.449866i
\(357\) −9.38646 2.80653i −0.496784 0.148537i
\(358\) 9.55675 14.8706i 0.505090 0.785935i
\(359\) 1.03639 + 1.19605i 0.0546984 + 0.0631254i 0.782439 0.622727i \(-0.213975\pi\)
−0.727741 + 0.685852i \(0.759430\pi\)
\(360\) 4.97226 + 4.50296i 0.262061 + 0.237327i
\(361\) −13.2701 + 8.52818i −0.698427 + 0.448852i
\(362\) −5.71171 + 19.4523i −0.300201 + 1.02239i
\(363\) −13.7651 + 11.8091i −0.722481 + 0.619815i
\(364\) 1.35817 + 4.62549i 0.0711872 + 0.242441i
\(365\) 6.17577 1.73290i 0.323255 0.0907042i
\(366\) 8.04477 + 0.0397183i 0.420507 + 0.00207611i
\(367\) −34.0866 −1.77931 −0.889653 0.456637i \(-0.849054\pi\)
−0.889653 + 0.456637i \(0.849054\pi\)
\(368\) 3.93301 + 2.74434i 0.205022 + 0.143059i
\(369\) 0.277582 0.911949i 0.0144504 0.0474742i
\(370\) −18.6020 16.5149i −0.967073 0.858571i
\(371\) 7.30760 + 3.33727i 0.379392 + 0.173262i
\(372\) −6.68690 + 0.927759i −0.346700 + 0.0481021i
\(373\) 7.49073 8.64477i 0.387855 0.447609i −0.527923 0.849292i \(-0.677029\pi\)
0.915779 + 0.401683i \(0.131575\pi\)
\(374\) 0.354822 1.20841i 0.0183474 0.0624856i
\(375\) 15.8474 + 11.1292i 0.818358 + 0.574709i
\(376\) 0.122970 + 0.269266i 0.00634168 + 0.0138863i
\(377\) 6.57175 + 7.58421i 0.338462 + 0.390607i
\(378\) 8.96316 + 14.4119i 0.461015 + 0.741267i
\(379\) 26.4513 + 3.80312i 1.35871 + 0.195353i 0.782858 0.622200i \(-0.213761\pi\)
0.575853 + 0.817553i \(0.304670\pi\)
\(380\) −11.1778 + 6.99486i −0.573409 + 0.358829i
\(381\) −12.6827 + 14.4915i −0.649755 + 0.742420i
\(382\) −0.312184 0.360280i −0.0159727 0.0184335i
\(383\) −11.7553 + 5.36847i −0.600668 + 0.274316i −0.692453 0.721463i \(-0.743470\pi\)
0.0917849 + 0.995779i \(0.470743\pi\)
\(384\) −1.57906 + 0.711733i −0.0805812 + 0.0363205i
\(385\) 4.85768 2.14814i 0.247570 0.109480i
\(386\) −2.50162 2.16767i −0.127329 0.110331i
\(387\) 27.8259 + 0.274768i 1.41447 + 0.0139672i
\(388\) −5.54831 + 12.1491i −0.281673 + 0.616778i
\(389\) 3.82143 + 26.5786i 0.193754 + 1.34759i 0.821962 + 0.569543i \(0.192880\pi\)
−0.628208 + 0.778046i \(0.716211\pi\)
\(390\) −3.00840 4.86064i −0.152336 0.246128i
\(391\) 8.25973 0.868547i 0.417713 0.0439243i
\(392\) 3.66817 0.185271
\(393\) −22.4773 0.110974i −1.13383 0.00559788i
\(394\) 1.06740 2.33727i 0.0537746 0.117750i
\(395\) −6.16810 4.06973i −0.310351 0.204770i
\(396\) −1.84696 + 1.16136i −0.0928134 + 0.0583607i
\(397\) 6.70727 22.8429i 0.336628 1.14645i −0.601127 0.799154i \(-0.705281\pi\)
0.937755 0.347297i \(-0.112901\pi\)
\(398\) −4.87176 7.58060i −0.244199 0.379981i
\(399\) −32.0553 + 9.24063i −1.60477 + 0.462610i
\(400\) −4.27012 + 2.60116i −0.213506 + 0.130058i
\(401\) 27.8844 + 17.9202i 1.39248 + 0.894893i 0.999694 0.0247360i \(-0.00787450\pi\)
0.392787 + 0.919629i \(0.371511\pi\)
\(402\) 0.201651 0.674426i 0.0100575 0.0336373i
\(403\) 5.69419 + 0.818702i 0.283648 + 0.0407824i
\(404\) −3.01870 + 4.69720i −0.150186 + 0.233694i
\(405\) −14.7827 13.6555i −0.734556 0.678548i
\(406\) 20.2010 9.22547i 1.00256 0.457853i
\(407\) 6.80602 4.37397i 0.337362 0.216809i
\(408\) −1.25950 + 2.72227i −0.0623544 + 0.134772i
\(409\) −0.427761 + 0.493663i −0.0211514 + 0.0244101i −0.766227 0.642570i \(-0.777868\pi\)
0.745075 + 0.666980i \(0.232414\pi\)
\(410\) 0.593058 + 0.391302i 0.0292891 + 0.0193250i
\(411\) −3.41308 2.21734i −0.168355 0.109373i
\(412\) 2.60682 + 18.1308i 0.128429 + 0.893241i
\(413\) 28.0334i 1.37943i
\(414\) −11.7172 8.34914i −0.575867 0.410338i
\(415\) −22.8973 27.0767i −1.12398 1.32914i
\(416\) 1.46092 0.210049i 0.0716277 0.0102985i
\(417\) −0.865352 + 1.33201i −0.0423765 + 0.0652287i
\(418\) −1.20823 4.11485i −0.0590965 0.201264i
\(419\) 17.0320 19.6560i 0.832069 0.960259i −0.167603 0.985855i \(-0.553603\pi\)
0.999672 + 0.0255957i \(0.00814825\pi\)
\(420\) −12.1963 + 3.35738i −0.595120 + 0.163824i
\(421\) −1.48052 2.30373i −0.0721561 0.112277i 0.803300 0.595574i \(-0.203075\pi\)
−0.875456 + 0.483297i \(0.839439\pi\)
\(422\) 6.68284 + 14.6334i 0.325315 + 0.712342i
\(423\) −0.360915 0.811402i −0.0175483 0.0394517i
\(424\) 1.32976 2.06915i 0.0645788 0.100487i
\(425\) −2.63877 + 8.24697i −0.127999 + 0.400037i
\(426\) −13.3838 4.00173i −0.648449 0.193884i
\(427\) −8.20186 + 12.7623i −0.396916 + 0.617613i
\(428\) 7.76145 6.72534i 0.375164 0.325081i
\(429\) 1.78641 0.514971i 0.0862487 0.0248630i
\(430\) −6.08260 + 19.8293i −0.293329 + 0.956251i
\(431\) 3.54845 + 1.04192i 0.170923 + 0.0501875i 0.366074 0.930586i \(-0.380702\pi\)
−0.195151 + 0.980773i \(0.562520\pi\)
\(432\) 4.75804 2.08832i 0.228921 0.100474i
\(433\) −26.7068 + 7.84183i −1.28345 + 0.376854i −0.851172 0.524887i \(-0.824107\pi\)
−0.432276 + 0.901742i \(0.642289\pi\)
\(434\) 5.28849 11.5802i 0.253856 0.555867i
\(435\) −20.1913 + 16.9044i −0.968099 + 0.810505i
\(436\) 12.2247i 0.585456i
\(437\) 22.0619 17.6940i 1.05537 0.846419i
\(438\) 0.731361 4.91437i 0.0349458 0.234818i
\(439\) 4.14197 + 28.8080i 0.197686 + 1.37493i 0.810978 + 0.585077i \(0.198936\pi\)
−0.613292 + 0.789856i \(0.710155\pi\)
\(440\) −0.439333 1.56571i −0.0209444 0.0746424i
\(441\) −11.0040 0.108659i −0.523999 0.00517425i
\(442\) 1.67382 1.93169i 0.0796156 0.0918814i
\(443\) 32.1145 + 9.42968i 1.52581 + 0.448017i 0.933764 0.357889i \(-0.116503\pi\)
0.592043 + 0.805906i \(0.298321\pi\)
\(444\) −17.5664 + 7.91771i −0.833662 + 0.375758i
\(445\) −17.3451 8.17498i −0.822236 0.387531i
\(446\) 2.62919 2.27821i 0.124496 0.107876i
\(447\) 13.2835 + 11.6256i 0.628289 + 0.549870i
\(448\) 0.464831 3.23297i 0.0219612 0.152744i
\(449\) −38.0510 5.47090i −1.79574 0.258188i −0.837966 0.545722i \(-0.816255\pi\)
−0.957770 + 0.287534i \(0.907165\pi\)
\(450\) 12.8868 7.67662i 0.607489 0.361880i
\(451\) −0.174643 + 0.151329i −0.00822363 + 0.00712581i
\(452\) 8.59593 3.92563i 0.404319 0.184646i
\(453\) 33.3441 15.0292i 1.56664 0.706136i
\(454\) −5.70685 + 19.4357i −0.267836 + 0.912164i
\(455\) 10.7788 + 0.129755i 0.505317 + 0.00608303i
\(456\) 1.40365 + 10.1169i 0.0657320 + 0.473769i
\(457\) 3.10118 6.79064i 0.145067 0.317653i −0.823125 0.567860i \(-0.807771\pi\)
0.968192 + 0.250207i \(0.0804988\pi\)
\(458\) 9.34534 1.34366i 0.436679 0.0627850i
\(459\) 3.85895 8.12909i 0.180120 0.379434i
\(460\) 8.44581 6.60819i 0.393788 0.308109i
\(461\) 23.1040i 1.07606i −0.842925 0.538030i \(-0.819169\pi\)
0.842925 0.538030i \(-0.180831\pi\)
\(462\) 0.0203124 4.11419i 0.000945017 0.191409i
\(463\) 9.46248 + 4.32137i 0.439759 + 0.200831i 0.622975 0.782242i \(-0.285924\pi\)
−0.183217 + 0.983073i \(0.558651\pi\)
\(464\) −1.91557 6.52384i −0.0889282 0.302862i
\(465\) −2.40164 + 14.9033i −0.111373 + 0.691125i
\(466\) 11.4807 + 3.37105i 0.531834 + 0.156161i
\(467\) −16.4551 25.6047i −0.761453 1.18484i −0.978007 0.208573i \(-0.933118\pi\)
0.216554 0.976271i \(-0.430518\pi\)
\(468\) −4.38878 + 0.586841i −0.202871 + 0.0271267i
\(469\) 0.869283 + 1.00321i 0.0401397 + 0.0463237i
\(470\) 0.656263 0.0863068i 0.0302711 0.00398104i
\(471\) 7.96306 26.6326i 0.366918 1.22716i
\(472\) −8.49547 1.22146i −0.391036 0.0562224i
\(473\) −5.67492 3.64705i −0.260933 0.167692i
\(474\) −4.83061 + 3.07085i −0.221877 + 0.141049i
\(475\) 7.62340 + 28.4823i 0.349786 + 1.30686i
\(476\) −3.05804 4.75841i −0.140165 0.218101i
\(477\) −4.05038 + 6.16774i −0.185454 + 0.282402i
\(478\) −15.5939 13.5122i −0.713251 0.618035i
\(479\) −11.3558 + 3.33437i −0.518861 + 0.152351i −0.530669 0.847579i \(-0.678059\pi\)
0.0118082 + 0.999930i \(0.496241\pi\)
\(480\) 0.486034 + 3.84237i 0.0221843 + 0.175379i
\(481\) 16.2521 2.33670i 0.741033 0.106544i
\(482\) 9.38833i 0.427627i
\(483\) 25.1408 10.2002i 1.14395 0.464127i
\(484\) −10.4711 −0.475959
\(485\) 22.3335 + 19.8277i 1.01411 + 0.900331i
\(486\) −14.3353 + 6.12371i −0.650261 + 0.277777i
\(487\) −0.399122 1.35928i −0.0180859 0.0615951i 0.949956 0.312385i \(-0.101128\pi\)
−0.968042 + 0.250790i \(0.919310\pi\)
\(488\) 3.51024 + 3.04164i 0.158901 + 0.137688i
\(489\) 10.6810 23.0857i 0.483010 1.04397i
\(490\) 2.40541 7.84164i 0.108666 0.354249i
\(491\) 12.9167 5.89886i 0.582922 0.266212i −0.102052 0.994779i \(-0.532541\pi\)
0.684974 + 0.728567i \(0.259813\pi\)
\(492\) 0.464459 0.295260i 0.0209395 0.0133114i
\(493\) −9.90554 6.36591i −0.446123 0.286706i
\(494\) 1.23865 8.61502i 0.0557296 0.387608i
\(495\) 1.27156 + 4.70992i 0.0571522 + 0.211695i
\(496\) −3.27893 2.10724i −0.147228 0.0946178i
\(497\) 19.9084 17.2507i 0.893014 0.773801i
\(498\) −26.3927 + 7.60827i −1.18269 + 0.340935i
\(499\) 27.0882 17.4085i 1.21263 0.779312i 0.231536 0.972826i \(-0.425625\pi\)
0.981098 + 0.193514i \(0.0619885\pi\)
\(500\) 2.76050 + 10.8342i 0.123453 + 0.484520i
\(501\) −5.65215 + 4.84896i −0.252519 + 0.216636i
\(502\) 23.6999 6.95893i 1.05778 0.310592i
\(503\) 36.7413 + 16.7792i 1.63821 + 0.748146i 0.999768 0.0215221i \(-0.00685123\pi\)
0.638444 + 0.769669i \(0.279579\pi\)
\(504\) −1.49019 + 9.68467i −0.0663785 + 0.431390i
\(505\) 8.06192 + 9.53345i 0.358751 + 0.424233i
\(506\) 1.32720 + 3.22538i 0.0590012 + 0.143386i
\(507\) −18.5394 2.75905i −0.823361 0.122534i
\(508\) −11.0052 + 1.58231i −0.488276 + 0.0702035i
\(509\) −17.8004 8.12919i −0.788991 0.360320i −0.0201799 0.999796i \(-0.506424\pi\)
−0.768811 + 0.639476i \(0.779151\pi\)
\(510\) 4.99361 + 4.47763i 0.221121 + 0.198273i
\(511\) 7.08087 + 6.13561i 0.313239 + 0.271423i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −3.91106 30.3909i −0.172678 1.34179i
\(514\) −0.841392 1.84239i −0.0371122 0.0812644i
\(515\) 40.4686 + 6.31661i 1.78326 + 0.278343i
\(516\) 12.0898 + 10.5809i 0.532225 + 0.465796i
\(517\) −0.0306373 + 0.213087i −0.00134743 + 0.00937156i
\(518\) 5.17104 35.9654i 0.227202 1.58023i
\(519\) 20.8315 + 18.2314i 0.914401 + 0.800271i
\(520\) 0.508972 3.26083i 0.0223199 0.142997i
\(521\) −13.6630 29.9179i −0.598588 1.31073i −0.930111 0.367279i \(-0.880290\pi\)
0.331522 0.943447i \(-0.392438\pi\)
\(522\) 5.55319 + 19.6273i 0.243056 + 0.859064i
\(523\) 25.0573 + 7.35747i 1.09568 + 0.321720i 0.779134 0.626858i \(-0.215659\pi\)
0.316544 + 0.948578i \(0.397478\pi\)
\(524\) −9.80767 8.49840i −0.428450 0.371254i
\(525\) −0.820528 + 28.2744i −0.0358108 + 1.23399i
\(526\) 18.2690 + 8.34319i 0.796568 + 0.363780i
\(527\) −6.68115 + 0.960605i −0.291036 + 0.0418446i
\(528\) −1.24591 0.185418i −0.0542214 0.00806929i
\(529\) −16.3391 + 16.1875i −0.710395 + 0.703803i
\(530\) −3.55133 4.19954i −0.154260 0.182417i
\(531\) 25.4490 + 3.91587i 1.10439 + 0.169934i
\(532\) −17.5202 8.00121i −0.759597 0.346897i
\(533\) −0.449989 + 0.132129i −0.0194912 + 0.00572313i
\(534\) −11.2730 + 9.67106i −0.487829 + 0.418508i
\(535\) −9.28751 21.0022i −0.401534 0.908005i
\(536\) 0.341896 0.219723i 0.0147677 0.00949060i
\(537\) −29.4190 + 8.48065i −1.26952 + 0.365967i
\(538\) −11.1591 + 9.66937i −0.481101 + 0.416876i
\(539\) 2.24419 + 1.44226i 0.0966643 + 0.0621224i
\(540\) −1.34421 11.5409i −0.0578456 0.496643i
\(541\) −2.56904 + 17.8681i −0.110452 + 0.768209i 0.857030 + 0.515267i \(0.172307\pi\)
−0.967481 + 0.252942i \(0.918602\pi\)
\(542\) 7.54262 + 4.84735i 0.323983 + 0.208212i
\(543\) 29.6338 18.8384i 1.27171 0.808433i
\(544\) −1.57527 + 0.719403i −0.0675392 + 0.0308441i
\(545\) −26.1334 8.01638i −1.11943 0.343384i
\(546\) 3.50609 7.57803i 0.150047 0.324310i
\(547\) −8.62440 7.47309i −0.368753 0.319526i 0.450697 0.892677i \(-0.351175\pi\)
−0.819450 + 0.573151i \(0.805721\pi\)
\(548\) −0.662036 2.25469i −0.0282808 0.0963154i
\(549\) −10.4401 9.22845i −0.445572 0.393860i
\(550\) −3.63520 0.0875341i −0.155005 0.00373247i
\(551\) −40.0950 −1.70810
\(552\) −1.99573 8.06331i −0.0849441 0.343197i
\(553\) 10.7942i 0.459014i
\(554\) 32.3324 4.64870i 1.37367 0.197504i
\(555\) 5.40691 + 42.7446i 0.229510 + 1.81441i
\(556\) −0.879927 + 0.258370i −0.0373172 + 0.0109573i
\(557\) −15.3807 13.3275i −0.651703 0.564704i 0.265012 0.964245i \(-0.414624\pi\)
−0.916715 + 0.399541i \(0.869169\pi\)
\(558\) 9.77388 + 6.41853i 0.413761 + 0.271718i
\(559\) −7.40165 11.5172i −0.313056 0.487125i
\(560\) −6.60648 3.11373i −0.279175 0.131579i
\(561\) −1.84091 + 1.17028i −0.0777232 + 0.0494091i
\(562\) −4.16266 2.67518i −0.175591 0.112846i
\(563\) −10.7639 1.54761i −0.453643 0.0652241i −0.0882938 0.996094i \(-0.528141\pi\)
−0.365350 + 0.930870i \(0.619051\pi\)
\(564\) 0.146876 0.491228i 0.00618459 0.0206844i
\(565\) −2.75522 20.9502i −0.115913 0.881382i
\(566\) 6.06889 + 7.00387i 0.255094 + 0.294395i
\(567\) 4.75724 29.0085i 0.199785 1.21824i
\(568\) −4.36036 6.78485i −0.182957 0.284686i
\(569\) 25.0014 + 7.34108i 1.04811 + 0.307754i 0.760055 0.649859i \(-0.225172\pi\)
0.288059 + 0.957613i \(0.406990\pi\)
\(570\) 22.5480 + 3.63355i 0.944430 + 0.152193i
\(571\) −0.973707 3.31614i −0.0407484 0.138776i 0.936607 0.350383i \(-0.113949\pi\)
−0.977355 + 0.211607i \(0.932130\pi\)
\(572\) 0.976383 + 0.445899i 0.0408246 + 0.0186440i
\(573\) −0.00407656 + 0.825690i −0.000170301 + 0.0344937i
\(574\) 1.03785i 0.0433190i
\(575\) −8.58831 22.3884i −0.358157 0.933661i
\(576\) 2.86999 + 0.873579i 0.119583 + 0.0363991i
\(577\) 28.9240 4.15865i 1.20412 0.173127i 0.489100 0.872227i \(-0.337325\pi\)
0.715023 + 0.699101i \(0.246416\pi\)
\(578\) 5.81622 12.7357i 0.241923 0.529737i
\(579\) 0.787905 + 5.67889i 0.0327442 + 0.236007i
\(580\) −15.2025 0.183009i −0.631250 0.00759902i
\(581\) 14.5928 49.6987i 0.605413 2.06185i
\(582\) 21.0901 9.50595i 0.874211 0.394034i
\(583\) 1.62710 0.743071i 0.0673875 0.0307749i
\(584\) 2.16791 1.87851i 0.0897088 0.0777331i
\(585\) −1.62344 + 9.76695i −0.0671208 + 0.403814i
\(586\) 22.5820 + 3.24680i 0.932852 + 0.134124i
\(587\) 0.787458 5.47689i 0.0325019 0.226056i −0.967096 0.254412i \(-0.918118\pi\)
0.999598 + 0.0283562i \(0.00902727\pi\)
\(588\) −4.78102 4.18428i −0.197166 0.172557i
\(589\) −17.3705 + 15.0516i −0.715737 + 0.620190i
\(590\) −8.18212 + 17.3602i −0.336852 + 0.714709i
\(591\) −4.05735 + 1.82877i −0.166897 + 0.0752258i
\(592\) −10.6739 3.13415i −0.438696 0.128813i
\(593\) 21.7749 25.1296i 0.894189 1.03195i −0.105108 0.994461i \(-0.533519\pi\)
0.999297 0.0374879i \(-0.0119356\pi\)
\(594\) 3.73206 + 0.593134i 0.153128 + 0.0243366i
\(595\) −12.1776 + 3.41700i −0.499234 + 0.140083i
\(596\) 1.45041 + 10.0879i 0.0594113 + 0.413215i
\(597\) −2.29745 + 15.4376i −0.0940282 + 0.631820i
\(598\) −0.269129 + 7.07327i −0.0110055 + 0.289248i
\(599\) 17.0942i 0.698449i −0.937039 0.349224i \(-0.886445\pi\)
0.937039 0.349224i \(-0.113555\pi\)
\(600\) 8.53275 + 1.48062i 0.348348 + 0.0604462i
\(601\) 4.53694 9.93452i 0.185066 0.405237i −0.794246 0.607597i \(-0.792134\pi\)
0.979311 + 0.202359i \(0.0648609\pi\)
\(602\) −29.0694 + 8.53554i −1.18478 + 0.347883i
\(603\) −1.03215 + 0.649010i −0.0420323 + 0.0264297i
\(604\) 20.2611 + 5.94918i 0.824411 + 0.242069i
\(605\) −6.86646 + 22.3846i −0.279161 + 0.910065i
\(606\) 9.29262 2.67880i 0.377487 0.108819i
\(607\) 13.4570 11.6605i 0.546202 0.473287i −0.337507 0.941323i \(-0.609584\pi\)
0.883709 + 0.468036i \(0.155038\pi\)
\(608\) −3.18814 + 4.96084i −0.129296 + 0.201189i
\(609\) −36.8531 11.0190i −1.49336 0.446511i
\(610\) 8.80412 5.50945i 0.356468 0.223071i
\(611\) −0.236209 + 0.367548i −0.00955598 + 0.0148694i
\(612\) 4.74690 2.11144i 0.191882 0.0853499i
\(613\) 16.4861 + 36.0995i 0.665867 + 1.45805i 0.876952 + 0.480577i \(0.159573\pi\)
−0.211085 + 0.977468i \(0.567700\pi\)
\(614\) 9.54336 + 14.8498i 0.385138 + 0.599287i
\(615\) −0.326622 1.18652i −0.0131707 0.0478450i
\(616\) 1.55553 1.79518i 0.0626740 0.0723297i
\(617\) 7.78003 + 26.4963i 0.313212 + 1.06670i 0.954205 + 0.299155i \(0.0967048\pi\)
−0.640992 + 0.767547i \(0.721477\pi\)
\(618\) 17.2842 26.6050i 0.695271 1.07021i
\(619\) 12.4756 1.79372i 0.501437 0.0720958i 0.113045 0.993590i \(-0.463940\pi\)
0.388392 + 0.921494i \(0.373030\pi\)
\(620\) −6.65492 + 5.62771i −0.267268 + 0.226014i
\(621\) 5.74806 + 24.2479i 0.230662 + 0.973034i
\(622\) 22.6892i 0.909754i
\(623\) −3.98609 27.7238i −0.159699 1.11073i
\(624\) −2.14374 1.39270i −0.0858184 0.0557527i
\(625\) 24.9710 + 1.20328i 0.998841 + 0.0481313i
\(626\) −6.80241 + 7.85039i −0.271879 + 0.313765i
\(627\) −3.11903 + 6.74145i −0.124562 + 0.269228i
\(628\) 13.5012 8.67670i 0.538757 0.346238i
\(629\) −17.5242 + 8.00303i −0.698736 + 0.319102i
\(630\) 19.7262 + 9.53642i 0.785912 + 0.379940i
\(631\) 24.5281 38.1665i 0.976449 1.51938i 0.126872 0.991919i \(-0.459506\pi\)
0.849577 0.527465i \(-0.176857\pi\)
\(632\) −3.27115 0.470321i −0.130119 0.0187083i
\(633\) 7.98202 26.6960i 0.317257 1.06107i
\(634\) 2.56523 + 1.64857i 0.101878 + 0.0654731i
\(635\) −3.83411 + 24.5640i −0.152152 + 0.974792i
\(636\) −4.09346 + 1.18003i −0.162316 + 0.0467911i
\(637\) 2.92704 + 4.55457i 0.115974 + 0.180459i
\(638\) 1.39310 4.74447i 0.0551534 0.187835i
\(639\) 12.8795 + 20.4827i 0.509504 + 0.810284i
\(640\) −1.23147 + 1.86641i −0.0486779 + 0.0737764i
\(641\) −15.0340 + 32.9199i −0.593808 + 1.30026i 0.339305 + 0.940676i \(0.389808\pi\)
−0.933113 + 0.359582i \(0.882919\pi\)
\(642\) −17.7877 0.0878207i −0.702025 0.00346601i
\(643\) 21.0704 0.830935 0.415468 0.909608i \(-0.363618\pi\)
0.415468 + 0.909608i \(0.363618\pi\)
\(644\) 14.8511 + 4.98138i 0.585213 + 0.196294i
\(645\) 30.5472 18.9066i 1.20279 0.744448i
\(646\) 1.45335 + 10.1082i 0.0571811 + 0.397703i
\(647\) 11.0528 24.2022i 0.434530 0.951487i −0.558040 0.829814i \(-0.688447\pi\)
0.992570 0.121674i \(-0.0388261\pi\)
\(648\) −8.58368 2.70562i −0.337199 0.106287i
\(649\) −4.71729 4.08755i −0.185170 0.160450i
\(650\) −6.63710 3.22636i −0.260328 0.126548i
\(651\) −20.1024 + 9.06080i −0.787877 + 0.355121i
\(652\) 13.3588 6.10077i 0.523172 0.238925i
\(653\) 24.4803 + 28.2518i 0.957989 + 1.10558i 0.994341 + 0.106239i \(0.0338807\pi\)
−0.0363521 + 0.999339i \(0.511574\pi\)
\(654\) −13.9447 + 15.9334i −0.545281 + 0.623046i
\(655\) −24.5989 + 15.3935i −0.961158 + 0.601475i
\(656\) 0.314519 + 0.0452210i 0.0122799 + 0.00176558i
\(657\) −6.55906 + 5.57103i −0.255893 + 0.217346i
\(658\) 0.633155 + 0.730700i 0.0246830 + 0.0284857i
\(659\) 3.52585 + 7.72053i 0.137347 + 0.300749i 0.965790 0.259325i \(-0.0835000\pi\)
−0.828443 + 0.560074i \(0.810773\pi\)
\(660\) −1.21339 + 2.54187i −0.0472311 + 0.0989420i
\(661\) −14.1762 + 48.2796i −0.551389 + 1.87786i −0.0781093 + 0.996945i \(0.524888\pi\)
−0.473279 + 0.880912i \(0.656930\pi\)
\(662\) −20.2113 + 23.3251i −0.785534 + 0.906554i
\(663\) −4.38512 + 0.608403i −0.170304 + 0.0236284i
\(664\) −14.4253 6.58779i −0.559809 0.255656i
\(665\) −28.5935 + 32.2071i −1.10881 + 1.24894i
\(666\) 31.9274 + 9.71817i 1.23716 + 0.376572i
\(667\) 32.4293 3.41008i 1.25567 0.132039i
\(668\) −4.29958 −0.166356
\(669\) −6.02559 0.0297493i −0.232963 0.00115017i
\(670\) −0.245515 0.874973i −0.00948506 0.0338032i
\(671\) 0.951655 + 3.24104i 0.0367382 + 0.125119i
\(672\) −4.29370 + 3.68356i −0.165633 + 0.142096i
\(673\) 10.3983 35.4134i 0.400825 1.36509i −0.473948 0.880553i \(-0.657172\pi\)
0.874773 0.484532i \(-0.161010\pi\)
\(674\) −13.0322 + 8.37530i −0.501982 + 0.322605i
\(675\) −25.5531 4.69441i −0.983540 0.180688i
\(676\) −7.08663 8.17841i −0.272563 0.314554i
\(677\) −8.84282 + 13.7597i −0.339857 + 0.528828i −0.968548 0.248827i \(-0.919955\pi\)
0.628691 + 0.777656i \(0.283591\pi\)
\(678\) −15.6817 4.68880i −0.602254 0.180072i
\(679\) −6.20832 + 43.1798i −0.238253 + 1.65709i
\(680\) 0.504916 + 3.83929i 0.0193626 + 0.147230i
\(681\) 29.6086 18.8224i 1.13460 0.721275i
\(682\) −1.17753 2.57842i −0.0450898 0.0987330i
\(683\) −11.3707 + 7.30751i −0.435088 + 0.279614i −0.739795 0.672832i \(-0.765078\pi\)
0.304707 + 0.952446i \(0.401441\pi\)
\(684\) 9.71091 14.7874i 0.371306 0.565409i
\(685\) −5.25409 0.0632491i −0.200749 0.00241662i
\(686\) −10.4417 + 3.06595i −0.398664 + 0.117058i
\(687\) −13.7132 8.90894i −0.523193 0.339897i
\(688\) 1.32008 + 9.18133i 0.0503274 + 0.350035i
\(689\) 3.63024 0.138301
\(690\) −18.5461 1.02116i −0.706037 0.0388748i
\(691\) 22.9769 0.874082 0.437041 0.899442i \(-0.356027\pi\)
0.437041 + 0.899442i \(0.356027\pi\)
\(692\) 2.27457 + 15.8200i 0.0864661 + 0.601385i
\(693\) −4.71953 + 5.33919i −0.179280 + 0.202819i
\(694\) 23.1405 6.79466i 0.878401 0.257922i
\(695\) −0.0246840 + 2.05049i −0.000936316 + 0.0777797i
\(696\) −4.94503 + 10.6881i −0.187441 + 0.405133i
\(697\) 0.462921 0.297501i 0.0175344 0.0112687i
\(698\) 2.09425 + 4.58577i 0.0792686 + 0.173574i
\(699\) −11.1184 17.4898i −0.420537 0.661526i
\(700\) −10.9886 + 12.0812i −0.415330 + 0.456626i
\(701\) −2.66198 + 18.5145i −0.100542 + 0.699283i 0.875741 + 0.482782i \(0.160374\pi\)
−0.976282 + 0.216501i \(0.930536\pi\)
\(702\) 6.38966 + 4.24141i 0.241162 + 0.160082i
\(703\) −35.4666 + 55.1872i −1.33765 + 2.08142i
\(704\) −0.476248 0.549619i −0.0179493 0.0207146i
\(705\) −0.953810 0.636109i −0.0359226 0.0239572i
\(706\) −13.2875 + 8.53936i −0.500082 + 0.321383i
\(707\) −5.13800 + 17.4984i −0.193234 + 0.658095i
\(708\) 9.67950 + 11.2828i 0.363778 + 0.424034i
\(709\) −7.26287 24.7351i −0.272763 0.928945i −0.975960 0.217950i \(-0.930063\pi\)
0.703197 0.710995i \(-0.251755\pi\)
\(710\) −17.3637 + 4.87218i −0.651647 + 0.182850i
\(711\) 9.79904 + 1.50779i 0.367493 + 0.0565466i
\(712\) −8.57534 −0.321375
\(713\) 12.7693 13.6513i 0.478214 0.511244i
\(714\) −1.44213 + 9.69033i −0.0539702 + 0.362652i
\(715\) 1.59349 1.79487i 0.0595931 0.0671242i
\(716\) −16.0793 7.34317i −0.600912 0.274427i
\(717\) 4.91144 + 35.3996i 0.183421 + 1.32202i
\(718\) 1.03639 1.19605i 0.0386776 0.0446364i
\(719\) 9.22894 31.4309i 0.344181 1.17217i −0.587599 0.809152i \(-0.699927\pi\)
0.931781 0.363022i \(-0.118255\pi\)
\(720\) 3.74950 5.56248i 0.139736 0.207302i
\(721\) 24.8535 + 54.4216i 0.925593 + 2.02677i
\(722\) 10.3299 + 11.9214i 0.384439 + 0.443667i
\(723\) 10.7093 12.2366i 0.398282 0.455083i
\(724\) 20.0672 + 2.88522i 0.745790 + 0.107228i
\(725\) −10.3603 + 32.3792i −0.384772 + 1.20253i
\(726\) 13.6478 + 11.9444i 0.506519 + 0.443298i
\(727\) −7.08273 8.17391i −0.262684 0.303154i 0.609051 0.793131i \(-0.291550\pi\)
−0.871735 + 0.489977i \(0.837005\pi\)
\(728\) 4.38512 2.00262i 0.162523 0.0742219i
\(729\) 25.6696 + 8.37074i 0.950728 + 0.310028i
\(730\) −2.59417 5.86630i −0.0960144 0.217121i
\(731\) 12.1399 + 10.5193i 0.449012 + 0.389071i
\(732\) −1.10558 7.96854i −0.0408633 0.294526i
\(733\) 1.90844 4.17890i 0.0704898 0.154351i −0.871107 0.491093i \(-0.836598\pi\)
0.941597 + 0.336742i \(0.109325\pi\)
\(734\) 4.85103 + 33.7397i 0.179055 + 1.24535i
\(735\) −12.0801 + 7.47679i −0.445583 + 0.275785i
\(736\) 2.15669 4.28354i 0.0794965 0.157893i
\(737\) 0.295564 0.0108872
\(738\) −0.942171 0.144973i −0.0346818 0.00533653i
\(739\) −6.55482 + 14.3531i −0.241123 + 0.527986i −0.991043 0.133543i \(-0.957365\pi\)
0.749920 + 0.661529i \(0.230092\pi\)
\(740\) −13.6995 + 20.7630i −0.503604 + 0.763263i
\(741\) −11.4416 + 9.81572i −0.420318 + 0.360589i
\(742\) 2.26332 7.70816i 0.0830891 0.282976i
\(743\) −11.1301 17.3188i −0.408324 0.635364i 0.574802 0.818292i \(-0.305079\pi\)
−0.983126 + 0.182928i \(0.941443\pi\)
\(744\) 1.86996 + 6.48681i 0.0685561 + 0.237818i
\(745\) 22.5165 + 3.51451i 0.824939 + 0.128762i
\(746\) −9.62282 6.18421i −0.352316 0.226420i
\(747\) 43.0785 + 20.1897i 1.57616 + 0.738704i
\(748\) −1.24661 0.179236i −0.0455806 0.00655350i
\(749\) 18.1351 28.2187i 0.662640 1.03109i
\(750\) 8.76058 17.2700i 0.319891 0.630610i
\(751\) −3.21312 + 1.46738i −0.117249 + 0.0535456i −0.473176 0.880968i \(-0.656892\pi\)
0.355927 + 0.934514i \(0.384165\pi\)
\(752\) 0.249025 0.160039i 0.00908101 0.00583601i
\(753\) −38.8281 17.9644i −1.41497 0.654659i
\(754\) 6.57175 7.58421i 0.239329 0.276201i
\(755\) 26.0041 39.4119i 0.946388 1.43435i
\(756\) 12.9896 10.9230i 0.472427 0.397264i
\(757\) 3.07665 + 21.3986i 0.111823 + 0.777745i 0.966145 + 0.258000i \(0.0830636\pi\)
−0.854322 + 0.519744i \(0.826027\pi\)
\(758\) 26.7233i 0.970633i
\(759\) 1.94935 5.71784i 0.0707569 0.207544i
\(760\) 8.51442 + 10.0685i 0.308851 + 0.365225i
\(761\) 20.1120 2.89166i 0.729058 0.104823i 0.232217 0.972664i \(-0.425402\pi\)
0.496841 + 0.867841i \(0.334493\pi\)
\(762\) 16.1489 + 10.4913i 0.585013 + 0.380059i
\(763\) −11.2492 38.3111i −0.407247 1.38695i
\(764\) −0.312184 + 0.360280i −0.0112944 + 0.0130345i
\(765\) −1.40094 11.5323i −0.0506513 0.416950i
\(766\) 6.98678 + 10.8716i 0.252443 + 0.392808i
\(767\) −5.26239 11.5230i −0.190014 0.416073i
\(768\) 0.929212 + 1.46170i 0.0335301 + 0.0527445i
\(769\) 0.712759 1.10907i 0.0257027 0.0399942i −0.828164 0.560485i \(-0.810615\pi\)
0.853867 + 0.520491i \(0.174251\pi\)
\(770\) −2.81760 4.50253i −0.101539 0.162260i
\(771\) −1.00496 + 3.36111i −0.0361929 + 0.121048i
\(772\) −1.78958 + 2.78465i −0.0644085 + 0.100222i
\(773\) −3.24542 + 2.81217i −0.116729 + 0.101147i −0.711270 0.702919i \(-0.751880\pi\)
0.594540 + 0.804066i \(0.297334\pi\)