Properties

Label 690.2.n.a.89.20
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 89.20
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.53419 - 0.803900i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.22793 + 1.86874i) q^{5} +(-1.01406 - 1.40417i) q^{6} +(4.08214 - 2.62343i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.70749 - 2.46667i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.53419 - 0.803900i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.22793 + 1.86874i) q^{5} +(-1.01406 - 1.40417i) q^{6} +(4.08214 - 2.62343i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.70749 - 2.46667i) q^{9} +(1.67496 - 1.48138i) q^{10} +(-0.475030 + 3.30390i) q^{11} +(-1.24556 + 1.20357i) q^{12} +(0.660771 - 1.02818i) q^{13} +(-3.17768 - 3.66723i) q^{14} +(3.38616 + 1.87987i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.75177 + 5.96599i) q^{17} +(-2.68457 - 1.33906i) q^{18} +(0.670285 + 2.28278i) q^{19} +(-1.70468 - 1.44709i) q^{20} +(4.15380 - 7.30648i) q^{21} +3.33788 q^{22} +(-4.18997 + 2.33328i) q^{23} +(1.36858 + 1.06160i) q^{24} +(-1.98436 + 4.58937i) q^{25} +(-1.11175 - 0.507720i) q^{26} +(0.636654 - 5.15700i) q^{27} +(-3.17768 + 3.66723i) q^{28} +(1.83741 - 6.25766i) q^{29} +(1.37883 - 3.61923i) q^{30} +(-2.18940 - 4.79412i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(1.92722 + 5.45070i) q^{33} +(6.15457 + 0.884894i) q^{34} +(9.91509 + 4.40704i) q^{35} +(-0.943381 + 2.84781i) q^{36} +(-0.549311 - 0.633939i) q^{37} +(2.16415 - 0.988336i) q^{38} +(0.187195 - 2.10862i) q^{39} +(-1.18976 + 1.89327i) q^{40} +(-4.44117 - 3.84830i) q^{41} +(-7.82325 - 3.07170i) q^{42} +(-0.0334887 + 0.0733301i) q^{43} +(-0.475030 - 3.30390i) q^{44} +(6.70625 + 0.161935i) q^{45} +(2.90582 + 3.81526i) q^{46} +4.46884 q^{47} +(0.856023 - 1.50573i) q^{48} +(6.87355 - 15.0510i) q^{49} +(4.82506 + 1.31102i) q^{50} +(2.10851 + 10.5612i) q^{51} +(-0.344333 + 1.17269i) q^{52} +(-5.83690 - 9.08239i) q^{53} +(-5.19512 + 0.103744i) q^{54} +(-6.75743 + 3.16927i) q^{55} +(4.08214 + 2.62343i) q^{56} +(2.86347 + 2.96338i) q^{57} +(-6.45546 - 0.928154i) q^{58} +(2.51261 - 3.90970i) q^{59} +(-3.77862 - 0.849725i) q^{60} +(-9.97373 + 4.55485i) q^{61} +(-4.43374 + 2.84939i) q^{62} +(0.499054 - 14.5488i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(2.73278 - 0.0277290i) q^{65} +(5.12094 - 2.68332i) q^{66} +(0.376968 + 2.62187i) q^{67} -6.21786i q^{68} +(-4.55249 + 6.94801i) q^{69} +(2.95112 - 10.4414i) q^{70} +(-8.42268 + 1.21100i) q^{71} +(2.95308 + 0.528493i) q^{72} +(-0.938954 - 3.19778i) q^{73} +(-0.549311 + 0.633939i) q^{74} +(0.645010 + 8.63620i) q^{75} +(-1.28627 - 2.00147i) q^{76} +(6.72842 + 14.7332i) q^{77} +(-2.11380 + 0.114798i) q^{78} +(-3.34150 + 5.19947i) q^{79} +(2.04332 + 0.908211i) q^{80} +(-3.16897 - 8.42364i) q^{81} +(-3.17708 + 4.94364i) q^{82} +(-10.3554 + 8.97304i) q^{83} +(-1.92707 + 8.18077i) q^{84} +(-13.2999 + 4.05224i) q^{85} +(0.0773497 + 0.0227119i) q^{86} +(-2.21159 - 11.0775i) q^{87} +(-3.20267 + 0.940389i) q^{88} +(-2.16744 + 4.74603i) q^{89} +(-0.794112 - 6.66103i) q^{90} -5.93065i q^{91} +(3.36288 - 3.41921i) q^{92} +(-7.21296 - 5.59504i) q^{93} +(-0.635982 - 4.42335i) q^{94} +(-3.44285 + 4.05569i) q^{95} +(-1.61223 - 0.633022i) q^{96} +(4.90317 - 5.65856i) q^{97} +(-15.8760 - 4.66161i) q^{98} +(7.33855 + 6.81312i) 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
\(3\) 1.53419 0.803900i 0.885766 0.464132i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 1.22793 + 1.86874i 0.549149 + 0.835725i
\(6\) −1.01406 1.40417i −0.413987 0.573250i
\(7\) 4.08214 2.62343i 1.54290 0.991563i 0.555829 0.831297i \(-0.312401\pi\)
0.987074 0.160267i \(-0.0512354\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 1.70749 2.46667i 0.569163 0.822225i
\(10\) 1.67496 1.48138i 0.529670 0.468455i
\(11\) −0.475030 + 3.30390i −0.143227 + 0.996164i 0.783758 + 0.621066i \(0.213300\pi\)
−0.926985 + 0.375098i \(0.877609\pi\)
\(12\) −1.24556 + 1.20357i −0.359563 + 0.347440i
\(13\) 0.660771 1.02818i 0.183265 0.285166i −0.737450 0.675402i \(-0.763970\pi\)
0.920715 + 0.390236i \(0.127607\pi\)
\(14\) −3.17768 3.66723i −0.849270 0.980109i
\(15\) 3.38616 + 1.87987i 0.874304 + 0.485379i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.75177 + 5.96599i −0.424867 + 1.44697i 0.417804 + 0.908537i \(0.362800\pi\)
−0.842671 + 0.538428i \(0.819018\pi\)
\(18\) −2.68457 1.33906i −0.632759 0.315621i
\(19\) 0.670285 + 2.28278i 0.153774 + 0.523706i 0.999958 0.00918523i \(-0.00292379\pi\)
−0.846184 + 0.532891i \(0.821106\pi\)
\(20\) −1.70468 1.44709i −0.381178 0.323579i
\(21\) 4.15380 7.30648i 0.906434 1.59440i
\(22\) 3.33788 0.711638
\(23\) −4.18997 + 2.33328i −0.873668 + 0.486522i
\(24\) 1.36858 + 1.06160i 0.279360 + 0.216698i
\(25\) −1.98436 + 4.58937i −0.396872 + 0.917874i
\(26\) −1.11175 0.507720i −0.218032 0.0995720i
\(27\) 0.636654 5.15700i 0.122524 0.992466i
\(28\) −3.17768 + 3.66723i −0.600524 + 0.693042i
\(29\) 1.83741 6.25766i 0.341199 1.16202i −0.592981 0.805216i \(-0.702049\pi\)
0.934180 0.356801i \(-0.116133\pi\)
\(30\) 1.37883 3.61923i 0.251739 0.660778i
\(31\) −2.18940 4.79412i −0.393228 0.861050i −0.997912 0.0645844i \(-0.979428\pi\)
0.604684 0.796466i \(-0.293299\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 1.92722 + 5.45070i 0.335486 + 0.948845i
\(34\) 6.15457 + 0.884894i 1.05550 + 0.151758i
\(35\) 9.91509 + 4.40704i 1.67596 + 0.744926i
\(36\) −0.943381 + 2.84781i −0.157230 + 0.474635i
\(37\) −0.549311 0.633939i −0.0903062 0.104219i 0.708798 0.705412i \(-0.249238\pi\)
−0.799104 + 0.601193i \(0.794692\pi\)
\(38\) 2.16415 0.988336i 0.351072 0.160329i
\(39\) 0.187195 2.10862i 0.0299752 0.337649i
\(40\) −1.18976 + 1.89327i −0.188118 + 0.299352i
\(41\) −4.44117 3.84830i −0.693595 0.601003i 0.235046 0.971984i \(-0.424476\pi\)
−0.928640 + 0.370981i \(0.879021\pi\)
\(42\) −7.82325 3.07170i −1.20715 0.473974i
\(43\) −0.0334887 + 0.0733301i −0.00510699 + 0.0111827i −0.912168 0.409816i \(-0.865593\pi\)
0.907061 + 0.420999i \(0.138320\pi\)
\(44\) −0.475030 3.30390i −0.0716134 0.498082i
\(45\) 6.70625 + 0.161935i 0.999709 + 0.0241399i
\(46\) 2.90582 + 3.81526i 0.428440 + 0.562529i
\(47\) 4.46884 0.651847 0.325923 0.945396i \(-0.394325\pi\)
0.325923 + 0.945396i \(0.394325\pi\)
\(48\) 0.856023 1.50573i 0.123556 0.217334i
\(49\) 6.87355 15.0510i 0.981936 2.15014i
\(50\) 4.82506 + 1.31102i 0.682367 + 0.185407i
\(51\) 2.10851 + 10.5612i 0.295250 + 1.47887i
\(52\) −0.344333 + 1.17269i −0.0477504 + 0.162623i
\(53\) −5.83690 9.08239i −0.801760 1.24756i −0.965330 0.261031i \(-0.915937\pi\)
0.163570 0.986532i \(-0.447699\pi\)
\(54\) −5.19512 + 0.103744i −0.706966 + 0.0141177i
\(55\) −6.75743 + 3.16927i −0.911172 + 0.427344i
\(56\) 4.08214 + 2.62343i 0.545498 + 0.350571i
\(57\) 2.86347 + 2.96338i 0.379276 + 0.392509i
\(58\) −6.45546 0.928154i −0.847643 0.121873i
\(59\) 2.51261 3.90970i 0.327114 0.509000i −0.638277 0.769807i \(-0.720352\pi\)
0.965391 + 0.260807i \(0.0839887\pi\)
\(60\) −3.77862 0.849725i −0.487818 0.109699i
\(61\) −9.97373 + 4.55485i −1.27701 + 0.583189i −0.934378 0.356283i \(-0.884044\pi\)
−0.342627 + 0.939472i \(0.611317\pi\)
\(62\) −4.43374 + 2.84939i −0.563086 + 0.361873i
\(63\) 0.499054 14.5488i 0.0628749 1.83297i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 2.73278 0.0277290i 0.338960 0.00343936i
\(66\) 5.12094 2.68332i 0.630345 0.330294i
\(67\) 0.376968 + 2.62187i 0.0460540 + 0.320312i 0.999806 + 0.0197167i \(0.00627642\pi\)
−0.953752 + 0.300596i \(0.902814\pi\)
\(68\) 6.21786i 0.754026i
\(69\) −4.55249 + 6.94801i −0.548055 + 0.836442i
\(70\) 2.95112 10.4414i 0.352726 1.24798i
\(71\) −8.42268 + 1.21100i −0.999589 + 0.143719i −0.622634 0.782513i \(-0.713938\pi\)
−0.376954 + 0.926232i \(0.623029\pi\)
\(72\) 2.95308 + 0.528493i 0.348024 + 0.0622835i
\(73\) −0.938954 3.19778i −0.109896 0.374272i 0.886119 0.463458i \(-0.153392\pi\)
−0.996015 + 0.0891860i \(0.971573\pi\)
\(74\) −0.549311 + 0.633939i −0.0638562 + 0.0736939i
\(75\) 0.645010 + 8.63620i 0.0744794 + 0.997223i
\(76\) −1.28627 2.00147i −0.147545 0.229584i
\(77\) 6.72842 + 14.7332i 0.766775 + 1.67900i
\(78\) −2.11380 + 0.114798i −0.239340 + 0.0129983i
\(79\) −3.34150 + 5.19947i −0.375948 + 0.584986i −0.976742 0.214417i \(-0.931215\pi\)
0.600794 + 0.799404i \(0.294851\pi\)
\(80\) 2.04332 + 0.908211i 0.228450 + 0.101541i
\(81\) −3.16897 8.42364i −0.352107 0.935960i
\(82\) −3.17708 + 4.94364i −0.350850 + 0.545933i
\(83\) −10.3554 + 8.97304i −1.13666 + 0.984919i −0.999984 0.00569681i \(-0.998187\pi\)
−0.136674 + 0.990616i \(0.543641\pi\)
\(84\) −1.92707 + 8.18077i −0.210261 + 0.892596i
\(85\) −13.2999 + 4.05224i −1.44258 + 0.439527i
\(86\) 0.0773497 + 0.0227119i 0.00834083 + 0.00244909i
\(87\) −2.21159 11.0775i −0.237107 1.18764i
\(88\) −3.20267 + 0.940389i −0.341406 + 0.100246i
\(89\) −2.16744 + 4.74603i −0.229748 + 0.503078i −0.989036 0.147677i \(-0.952820\pi\)
0.759288 + 0.650755i \(0.225548\pi\)
\(90\) −0.794112 6.66103i −0.0837067 0.702135i
\(91\) 5.93065i 0.621701i
\(92\) 3.36288 3.41921i 0.350605 0.356478i
\(93\) −7.21296 5.59504i −0.747949 0.580179i
\(94\) −0.635982 4.42335i −0.0655965 0.456234i
\(95\) −3.44285 + 4.05569i −0.353229 + 0.416105i
\(96\) −1.61223 0.633022i −0.164547 0.0646075i
\(97\) 4.90317 5.65856i 0.497841 0.574539i −0.450103 0.892977i \(-0.648613\pi\)
0.947944 + 0.318437i \(0.103158\pi\)
\(98\) −15.8760 4.66161i −1.60372 0.470894i
\(99\) 7.33855 + 6.81312i 0.737552 + 0.684744i
\(100\) 0.611003 4.96253i 0.0611003 0.496253i
\(101\) 12.7588 11.0556i 1.26955 1.10007i 0.279385 0.960179i \(-0.409869\pi\)
0.990167 0.139893i \(-0.0446760\pi\)
\(102\) 10.1537 3.59006i 1.00536 0.355469i
\(103\) −2.50854 + 17.4473i −0.247174 + 1.71913i 0.367220 + 0.930134i \(0.380310\pi\)
−0.614394 + 0.788999i \(0.710600\pi\)
\(104\) 1.20976 + 0.173937i 0.118627 + 0.0170559i
\(105\) 18.7545 1.20950i 1.83025 0.118035i
\(106\) −8.15927 + 7.07005i −0.792498 + 0.686704i
\(107\) −4.12405 + 1.88339i −0.398687 + 0.182074i −0.604660 0.796483i \(-0.706691\pi\)
0.205974 + 0.978558i \(0.433964\pi\)
\(108\) 0.842030 + 5.12747i 0.0810244 + 0.493391i
\(109\) 4.14943 14.1317i 0.397443 1.35357i −0.481418 0.876491i \(-0.659878\pi\)
0.878861 0.477077i \(-0.158304\pi\)
\(110\) 4.09869 + 6.23762i 0.390795 + 0.594733i
\(111\) −1.35237 0.530993i −0.128362 0.0503996i
\(112\) 2.01578 4.41394i 0.190473 0.417078i
\(113\) 5.57471 0.801522i 0.524425 0.0754009i 0.124982 0.992159i \(-0.460113\pi\)
0.399443 + 0.916758i \(0.369204\pi\)
\(114\) 2.52570 3.25606i 0.236554 0.304958i
\(115\) −9.50528 4.96484i −0.886372 0.462974i
\(116\) 6.52184i 0.605537i
\(117\) −1.40793 3.38551i −0.130163 0.312991i
\(118\) −4.22749 1.93063i −0.389172 0.177729i
\(119\) 8.50038 + 28.9496i 0.779229 + 2.65381i
\(120\) −0.303322 + 3.86109i −0.0276894 + 0.352467i
\(121\) −0.135698 0.0398446i −0.0123362 0.00362224i
\(122\) 5.92790 + 9.22399i 0.536687 + 0.835101i
\(123\) −9.90726 2.33377i −0.893307 0.210429i
\(124\) 3.45138 + 3.98310i 0.309943 + 0.357693i
\(125\) −11.0130 + 1.92720i −0.985032 + 0.172374i
\(126\) −14.4717 + 1.57653i −1.28924 + 0.140449i
\(127\) 17.5969 + 2.53005i 1.56147 + 0.224506i 0.868216 0.496186i \(-0.165267\pi\)
0.693255 + 0.720692i \(0.256176\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 0.00757195 + 0.139424i 0.000666673 + 0.0122756i
\(130\) −0.416362 2.70102i −0.0365173 0.236895i
\(131\) −4.82999 7.51561i −0.421998 0.656642i 0.563541 0.826088i \(-0.309439\pi\)
−0.985540 + 0.169446i \(0.945802\pi\)
\(132\) −3.38479 4.68694i −0.294609 0.407946i
\(133\) 8.72491 + 7.56018i 0.756545 + 0.655550i
\(134\) 2.54154 0.746262i 0.219555 0.0644672i
\(135\) 10.4189 5.14272i 0.896712 0.442615i
\(136\) −6.15457 + 0.884894i −0.527750 + 0.0758790i
\(137\) 11.0512i 0.944166i 0.881554 + 0.472083i \(0.156498\pi\)
−0.881554 + 0.472083i \(0.843502\pi\)
\(138\) 7.52518 + 3.51735i 0.640585 + 0.299417i
\(139\) 3.22829 0.273820 0.136910 0.990583i \(-0.456283\pi\)
0.136910 + 0.990583i \(0.456283\pi\)
\(140\) −10.7551 1.43512i −0.908969 0.121290i
\(141\) 6.85605 3.59250i 0.577384 0.302543i
\(142\) 2.39735 + 8.16461i 0.201181 + 0.685159i
\(143\) 3.08312 + 2.67154i 0.257823 + 0.223405i
\(144\) 0.102846 2.99824i 0.00857049 0.249853i
\(145\) 13.9501 4.25034i 1.15850 0.352972i
\(146\) −3.03161 + 1.38449i −0.250898 + 0.114581i
\(147\) −1.55414 28.6167i −0.128183 2.36027i
\(148\) 0.705662 + 0.453501i 0.0580050 + 0.0372776i
\(149\) −1.45183 + 10.0977i −0.118939 + 0.827238i 0.839789 + 0.542913i \(0.182679\pi\)
−0.958728 + 0.284325i \(0.908230\pi\)
\(150\) 8.45650 1.86750i 0.690470 0.152481i
\(151\) −7.84078 5.03896i −0.638073 0.410065i 0.181217 0.983443i \(-0.441996\pi\)
−0.819291 + 0.573378i \(0.805633\pi\)
\(152\) −1.79804 + 1.55801i −0.145841 + 0.126372i
\(153\) 11.7250 + 14.5079i 0.947912 + 1.17290i
\(154\) 13.6257 8.75669i 1.09799 0.705634i
\(155\) 6.27052 9.97828i 0.503660 0.801475i
\(156\) 0.414454 + 2.07594i 0.0331829 + 0.166208i
\(157\) 10.2815 3.01891i 0.820549 0.240935i 0.155597 0.987821i \(-0.450270\pi\)
0.664952 + 0.746886i \(0.268452\pi\)
\(158\) 5.62209 + 2.56752i 0.447270 + 0.204261i
\(159\) −16.2563 9.24185i −1.28921 0.732926i
\(160\) 0.608172 2.15177i 0.0480802 0.170113i
\(161\) −10.9828 + 20.5168i −0.865568 + 1.61695i
\(162\) −7.88691 + 4.33552i −0.619654 + 0.340631i
\(163\) −14.9453 + 2.14881i −1.17061 + 0.168308i −0.700071 0.714073i \(-0.746848\pi\)
−0.470536 + 0.882381i \(0.655939\pi\)
\(164\) 5.34546 + 2.44119i 0.417411 + 0.190625i
\(165\) −7.81942 + 10.2946i −0.608741 + 0.801431i
\(166\) 10.3554 + 8.97304i 0.803738 + 0.696443i
\(167\) 8.63720 + 2.53611i 0.668367 + 0.196250i 0.598276 0.801290i \(-0.295853\pi\)
0.0700912 + 0.997541i \(0.477671\pi\)
\(168\) 8.37176 + 0.743214i 0.645895 + 0.0573402i
\(169\) 4.77986 + 10.4664i 0.367682 + 0.805110i
\(170\) 5.90377 + 12.5879i 0.452798 + 0.965445i
\(171\) 6.77538 + 2.24445i 0.518126 + 0.171637i
\(172\) 0.0114727 0.0797946i 0.000874788 0.00608428i
\(173\) −1.70696 + 11.8722i −0.129778 + 0.902625i 0.816056 + 0.577973i \(0.196156\pi\)
−0.945834 + 0.324652i \(0.894753\pi\)
\(174\) −10.6500 + 3.76558i −0.807378 + 0.285468i
\(175\) 3.93947 + 23.9403i 0.297796 + 1.80971i
\(176\) 1.38660 + 3.03624i 0.104519 + 0.228865i
\(177\) 0.711819 8.01812i 0.0535036 0.602679i
\(178\) 5.00618 + 1.46995i 0.375229 + 0.110177i
\(179\) −10.7953 9.35422i −0.806882 0.699167i 0.150304 0.988640i \(-0.451975\pi\)
−0.957186 + 0.289473i \(0.906520\pi\)
\(180\) −6.48022 + 1.73399i −0.483007 + 0.129244i
\(181\) −2.43796 1.11338i −0.181212 0.0827569i 0.322743 0.946487i \(-0.395395\pi\)
−0.503955 + 0.863730i \(0.668122\pi\)
\(182\) −5.87029 + 0.844020i −0.435135 + 0.0625629i
\(183\) −11.6400 + 15.0059i −0.860451 + 1.10927i
\(184\) −3.86300 2.84205i −0.284784 0.209519i
\(185\) 0.510148 1.80495i 0.0375068 0.132703i
\(186\) −4.51158 + 7.93580i −0.330805 + 0.581881i
\(187\) −18.8789 8.62171i −1.38056 0.630482i
\(188\) −4.28782 + 1.25902i −0.312721 + 0.0918232i
\(189\) −10.9301 22.7218i −0.795049 1.65277i
\(190\) 4.50438 + 2.83062i 0.326782 + 0.205355i
\(191\) 20.2556 13.0175i 1.46564 0.941911i 0.467315 0.884091i \(-0.345221\pi\)
0.998327 0.0578200i \(-0.0184150\pi\)
\(192\) −0.397135 + 1.68591i −0.0286607 + 0.121670i
\(193\) −17.2773 + 14.9708i −1.24364 + 1.07762i −0.249634 + 0.968340i \(0.580310\pi\)
−0.994011 + 0.109284i \(0.965144\pi\)
\(194\) −6.29875 4.04796i −0.452224 0.290627i
\(195\) 4.17032 2.23942i 0.298643 0.160368i
\(196\) −2.35477 + 16.3778i −0.168198 + 1.16984i
\(197\) 2.03675 + 1.30894i 0.145112 + 0.0932579i 0.611182 0.791490i \(-0.290694\pi\)
−0.466070 + 0.884748i \(0.654331\pi\)
\(198\) 5.69939 8.23346i 0.405038 0.585126i
\(199\) −9.03682 + 4.12698i −0.640603 + 0.292554i −0.709111 0.705097i \(-0.750903\pi\)
0.0685079 + 0.997651i \(0.478176\pi\)
\(200\) −4.99897 + 0.101458i −0.353481 + 0.00717414i
\(201\) 2.68606 + 3.71941i 0.189460 + 0.262347i
\(202\) −12.7588 11.0556i −0.897708 0.777869i
\(203\) −8.91595 30.3649i −0.625777 2.13120i
\(204\) −4.99854 9.53939i −0.349968 0.667891i
\(205\) 1.73799 13.0248i 0.121387 0.909694i
\(206\) 17.6267 1.22811
\(207\) −1.39889 + 14.3193i −0.0972293 + 0.995262i
\(208\) 1.22220i 0.0847443i
\(209\) −7.86049 + 1.13017i −0.543721 + 0.0781753i
\(210\) −3.86623 18.3915i −0.266795 1.26913i
\(211\) −11.1065 + 3.26116i −0.764603 + 0.224508i −0.640705 0.767787i \(-0.721358\pi\)
−0.123898 + 0.992295i \(0.539540\pi\)
\(212\) 8.15927 + 7.07005i 0.560381 + 0.485573i
\(213\) −11.9485 + 8.62890i −0.818697 + 0.591243i
\(214\) 2.45113 + 3.81404i 0.167556 + 0.260722i
\(215\) −0.178157 + 0.0274628i −0.0121502 + 0.00187295i
\(216\) 4.95545 1.56317i 0.337176 0.106361i
\(217\) −21.5145 13.8265i −1.46050 0.938605i
\(218\) −14.5784 2.09605i −0.987371 0.141962i
\(219\) −4.01124 4.15119i −0.271054 0.280511i
\(220\) 5.59082 4.94468i 0.376933 0.333370i
\(221\) 4.97659 + 5.74329i 0.334762 + 0.386335i
\(222\) −0.333125 + 1.41418i −0.0223579 + 0.0949133i
\(223\) 0.894659 + 1.39212i 0.0599108 + 0.0932231i 0.869917 0.493199i \(-0.164172\pi\)
−0.810006 + 0.586422i \(0.800536\pi\)
\(224\) −4.65589 1.36709i −0.311085 0.0913427i
\(225\) 7.93221 + 12.7311i 0.528814 + 0.848738i
\(226\) −1.58673 5.40390i −0.105548 0.359462i
\(227\) −11.5296 5.26541i −0.765250 0.349478i −0.00574819 0.999983i \(-0.501830\pi\)
−0.759501 + 0.650506i \(0.774557\pi\)
\(228\) −3.58236 2.03661i −0.237248 0.134878i
\(229\) 16.1083i 1.06447i 0.846597 + 0.532234i \(0.178647\pi\)
−0.846597 + 0.532234i \(0.821353\pi\)
\(230\) −3.56156 + 10.1151i −0.234842 + 0.666970i
\(231\) 22.1667 + 17.1946i 1.45846 + 1.13132i
\(232\) 6.45546 0.928154i 0.423821 0.0609363i
\(233\) −2.35607 + 5.15907i −0.154351 + 0.337982i −0.970972 0.239192i \(-0.923117\pi\)
0.816621 + 0.577174i \(0.195845\pi\)
\(234\) −3.15068 + 1.87540i −0.205967 + 0.122599i
\(235\) 5.48743 + 8.35108i 0.357961 + 0.544764i
\(236\) −1.30934 + 4.45922i −0.0852310 + 0.290270i
\(237\) −0.946641 + 10.6632i −0.0614909 + 0.692650i
\(238\) 27.4453 12.5338i 1.77901 0.812447i
\(239\) 5.58674 4.84094i 0.361376 0.313134i −0.455181 0.890399i \(-0.650425\pi\)
0.816557 + 0.577265i \(0.195880\pi\)
\(240\) 3.86495 0.249255i 0.249482 0.0160894i
\(241\) 10.2681 + 1.47633i 0.661425 + 0.0950986i 0.464849 0.885390i \(-0.346109\pi\)
0.196576 + 0.980489i \(0.437018\pi\)
\(242\) −0.0201272 + 0.139988i −0.00129382 + 0.00899874i
\(243\) −11.6336 10.3759i −0.746294 0.665617i
\(244\) 8.28647 7.18027i 0.530487 0.459670i
\(245\) 36.5666 5.63674i 2.33615 0.360118i
\(246\) −0.900063 + 10.1385i −0.0573859 + 0.646410i
\(247\) 2.79001 + 0.819221i 0.177524 + 0.0521258i
\(248\) 3.45138 3.98310i 0.219163 0.252927i
\(249\) −8.67380 + 22.0911i −0.549680 + 1.39997i
\(250\) 3.47489 + 10.6266i 0.219772 + 0.672087i
\(251\) 0.398058 + 2.76855i 0.0251252 + 0.174749i 0.998520 0.0543845i \(-0.0173197\pi\)
−0.973395 + 0.229134i \(0.926411\pi\)
\(252\) 3.62003 + 14.1001i 0.228040 + 0.888220i
\(253\) −5.71856 14.9516i −0.359523 0.940000i
\(254\) 17.7778i 1.11548i
\(255\) −17.1471 + 16.9087i −1.07379 + 1.05887i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 22.0394 6.47135i 1.37478 0.403672i 0.490831 0.871255i \(-0.336693\pi\)
0.883949 + 0.467583i \(0.154875\pi\)
\(258\) 0.136927 0.0273370i 0.00852472 0.00170193i
\(259\) −3.90546 1.14675i −0.242673 0.0712553i
\(260\) −2.61427 + 0.796519i −0.162130 + 0.0493980i
\(261\) −12.2982 15.2172i −0.761242 0.941920i
\(262\) −6.75174 + 5.85041i −0.417124 + 0.361440i
\(263\) 6.44216 10.0242i 0.397241 0.618119i −0.583805 0.811894i \(-0.698437\pi\)
0.981046 + 0.193775i \(0.0620732\pi\)
\(264\) −4.15753 + 4.01736i −0.255878 + 0.247252i
\(265\) 9.80528 22.0602i 0.602334 1.35515i
\(266\) 6.24154 9.71203i 0.382693 0.595482i
\(267\) 0.490067 + 9.02372i 0.0299916 + 0.552243i
\(268\) −1.10036 2.40946i −0.0672155 0.147181i
\(269\) −3.21489 5.00247i −0.196016 0.305006i 0.729307 0.684186i \(-0.239842\pi\)
−0.925323 + 0.379180i \(0.876206\pi\)
\(270\) −6.57313 9.58092i −0.400028 0.583076i
\(271\) 2.07086 2.38989i 0.125796 0.145176i −0.689358 0.724421i \(-0.742107\pi\)
0.815153 + 0.579245i \(0.196653\pi\)
\(272\) 1.75177 + 5.96599i 0.106217 + 0.361741i
\(273\) −4.76765 9.09876i −0.288552 0.550682i
\(274\) 10.9387 1.57275i 0.660830 0.0950131i
\(275\) −14.2202 8.73621i −0.857511 0.526813i
\(276\) 2.41060 7.94915i 0.145101 0.478483i
\(277\) 32.3648i 1.94462i 0.233705 + 0.972308i \(0.424915\pi\)
−0.233705 + 0.972308i \(0.575085\pi\)
\(278\) −0.459434 3.19543i −0.0275550 0.191649i
\(279\) −15.5639 2.78537i −0.931788 0.166756i
\(280\) 0.110091 + 10.8498i 0.00657921 + 0.648402i
\(281\) 3.09085 3.56703i 0.184385 0.212791i −0.656031 0.754734i \(-0.727766\pi\)
0.840415 + 0.541943i \(0.182311\pi\)
\(282\) −4.53165 6.27500i −0.269856 0.373671i
\(283\) −9.86425 + 6.33937i −0.586369 + 0.376837i −0.799930 0.600093i \(-0.795130\pi\)
0.213561 + 0.976930i \(0.431494\pi\)
\(284\) 7.74033 3.53489i 0.459304 0.209757i
\(285\) −2.02162 + 8.98991i −0.119751 + 0.532516i
\(286\) 2.20557 3.43194i 0.130418 0.202935i
\(287\) −28.2252 4.05817i −1.66608 0.239546i
\(288\) −2.98236 + 0.324895i −0.175737 + 0.0191446i
\(289\) −18.2230 11.7112i −1.07194 0.688896i
\(290\) −6.19239 13.2033i −0.363630 0.775322i
\(291\) 2.97348 12.6230i 0.174309 0.739971i
\(292\) 1.80184 + 2.80372i 0.105445 + 0.164075i
\(293\) −0.449712 + 1.53158i −0.0262725 + 0.0894758i −0.971586 0.236688i \(-0.923938\pi\)
0.945313 + 0.326164i \(0.105756\pi\)
\(294\) −28.1043 + 5.61091i −1.63907 + 0.327235i
\(295\) 10.3915 0.105441i 0.605018 0.00613900i
\(296\) 0.348459 0.763019i 0.0202538 0.0443496i
\(297\) 16.7358 + 4.55317i 0.971110 + 0.264202i
\(298\) 10.2016 0.590961
\(299\) −0.369581 + 5.84980i −0.0213734 + 0.338303i
\(300\) −3.05198 8.10465i −0.176206 0.467922i
\(301\) 0.0556708 + 0.387199i 0.00320881 + 0.0223178i
\(302\) −3.87181 + 8.47809i −0.222798 + 0.487859i
\(303\) 10.6869 27.2182i 0.613947 1.56365i
\(304\) 1.79804 + 1.55801i 0.103125 + 0.0893582i
\(305\) −20.7589 13.0452i −1.18865 0.746967i
\(306\) 12.6916 13.6704i 0.725531 0.781483i
\(307\) 0.772740 0.352899i 0.0441026 0.0201410i −0.393242 0.919435i \(-0.628646\pi\)
0.437344 + 0.899294i \(0.355919\pi\)
\(308\) −10.6067 12.2408i −0.604372 0.697483i
\(309\) 10.1773 + 28.7841i 0.578966 + 1.63747i
\(310\) −10.7691 4.78663i −0.611644 0.271863i
\(311\) −14.6416 2.10514i −0.830248 0.119372i −0.285930 0.958251i \(-0.592302\pi\)
−0.544318 + 0.838879i \(0.683211\pi\)
\(312\) 1.99583 0.705673i 0.112992 0.0399508i
\(313\) 21.6863 + 25.0273i 1.22578 + 1.41463i 0.879095 + 0.476646i \(0.158148\pi\)
0.346686 + 0.937981i \(0.387307\pi\)
\(314\) −4.45138 9.74717i −0.251206 0.550064i
\(315\) 27.8007 16.9323i 1.56639 0.954029i
\(316\) 1.74128 5.93026i 0.0979548 0.333603i
\(317\) 13.6650 15.7702i 0.767501 0.885744i −0.228640 0.973511i \(-0.573428\pi\)
0.996141 + 0.0877675i \(0.0279732\pi\)
\(318\) −6.83427 + 17.4061i −0.383247 + 0.976083i
\(319\) 19.8019 + 9.04321i 1.10869 + 0.506323i
\(320\) −2.21642 0.295752i −0.123902 0.0165331i
\(321\) −4.81302 + 6.20480i −0.268637 + 0.346318i
\(322\) 21.8710 + 7.95119i 1.21882 + 0.443102i
\(323\) −14.7932 −0.823118
\(324\) 5.41381 + 7.18962i 0.300767 + 0.399423i
\(325\) 3.40749 + 5.07280i 0.189014 + 0.281388i
\(326\) 4.25388 + 14.4874i 0.235601 + 0.802382i
\(327\) −4.99443 25.0164i −0.276192 1.38341i
\(328\) 1.65561 5.63847i 0.0914155 0.311333i
\(329\) 18.2424 11.7237i 1.00574 0.646347i
\(330\) 11.3026 + 6.27476i 0.622188 + 0.345414i
\(331\) 19.0804 + 22.0199i 1.04875 + 1.21032i 0.977075 + 0.212895i \(0.0682893\pi\)
0.0716761 + 0.997428i \(0.477165\pi\)
\(332\) 7.40798 11.5270i 0.406566 0.632628i
\(333\) −2.50166 + 0.272529i −0.137090 + 0.0149345i
\(334\) 1.28110 8.91022i 0.0700984 0.487545i
\(335\) −4.43670 + 3.92394i −0.242403 + 0.214388i
\(336\) −0.455776 8.39231i −0.0248646 0.457838i
\(337\) −12.9115 28.2722i −0.703333 1.54009i −0.835882 0.548909i \(-0.815043\pi\)
0.132549 0.991176i \(-0.457684\pi\)
\(338\) 9.67966 6.22074i 0.526504 0.338364i
\(339\) 7.90833 5.71120i 0.429521 0.310190i
\(340\) 11.6195 7.63512i 0.630158 0.414072i
\(341\) 16.8793 4.95622i 0.914068 0.268395i
\(342\) 1.25736 7.02583i 0.0679905 0.379914i
\(343\) −6.59238 45.8510i −0.355955 2.47572i
\(344\) −0.0806151 −0.00434648
\(345\) −18.5742 + 0.0242850i −0.999999 + 0.00130746i
\(346\) 11.9943 0.644815
\(347\) −3.14886 21.9008i −0.169040 1.17570i −0.880874 0.473350i \(-0.843045\pi\)
0.711835 0.702347i \(-0.247864\pi\)
\(348\) 5.24291 + 10.0058i 0.281049 + 0.536365i
\(349\) 13.3853 3.93029i 0.716501 0.210384i 0.0968927 0.995295i \(-0.469110\pi\)
0.619608 + 0.784911i \(0.287291\pi\)
\(350\) 23.1359 7.30643i 1.23667 0.390545i
\(351\) −4.88164 4.06219i −0.260563 0.216824i
\(352\) 2.80800 1.80459i 0.149667 0.0961851i
\(353\) 10.1537 + 22.2336i 0.540429 + 1.18338i 0.961110 + 0.276166i \(0.0890641\pi\)
−0.420680 + 0.907209i \(0.638209\pi\)
\(354\) −8.03781 + 0.436524i −0.427205 + 0.0232010i
\(355\) −12.6055 14.2528i −0.669032 0.756458i
\(356\) 0.742531 5.16442i 0.0393541 0.273714i
\(357\) 36.3138 + 37.5808i 1.92193 + 1.98899i
\(358\) −7.72267 + 12.0167i −0.408156 + 0.635103i
\(359\) 14.6951 + 16.9591i 0.775579 + 0.895066i 0.996782 0.0801615i \(-0.0255436\pi\)
−0.221202 + 0.975228i \(0.570998\pi\)
\(360\) 2.63858 + 6.16749i 0.139065 + 0.325055i
\(361\) 11.2220 7.21195i 0.590632 0.379576i
\(362\) −0.755089 + 2.57160i −0.0396866 + 0.135160i
\(363\) −0.240218 + 0.0479586i −0.0126082 + 0.00251717i
\(364\) 1.67086 + 5.69042i 0.0875768 + 0.298259i
\(365\) 4.82285 5.68133i 0.252439 0.297374i
\(366\) 16.5097 + 9.38593i 0.862976 + 0.490610i
\(367\) −18.1073 −0.945192 −0.472596 0.881279i \(-0.656683\pi\)
−0.472596 + 0.881279i \(0.656683\pi\)
\(368\) −2.26336 + 4.22814i −0.117986 + 0.220407i
\(369\) −17.0757 + 4.38400i −0.888928 + 0.228222i
\(370\) −1.85918 0.248084i −0.0966544 0.0128972i
\(371\) −47.6540 21.7629i −2.47407 1.12987i
\(372\) 8.49709 + 3.33628i 0.440554 + 0.172978i
\(373\) 12.3454 14.2473i 0.639219 0.737698i −0.340018 0.940419i \(-0.610433\pi\)
0.979236 + 0.202721i \(0.0649786\pi\)
\(374\) −5.84720 + 19.9137i −0.302352 + 1.02972i
\(375\) −15.3468 + 11.8100i −0.792503 + 0.609868i
\(376\) 1.85642 + 4.06500i 0.0957376 + 0.209636i
\(377\) −5.21988 6.02407i −0.268838 0.310255i
\(378\) −20.9350 + 14.0525i −1.07678 + 0.722784i
\(379\) 13.8020 + 1.98442i 0.708959 + 0.101933i 0.487355 0.873204i \(-0.337962\pi\)
0.221604 + 0.975137i \(0.428871\pi\)
\(380\) 2.16077 4.86137i 0.110845 0.249383i
\(381\) 29.0309 10.2646i 1.48730 0.525869i
\(382\) −15.7676 18.1968i −0.806743 0.931031i
\(383\) 21.4044 9.77508i 1.09372 0.499483i 0.214896 0.976637i \(-0.431059\pi\)
0.878820 + 0.477154i \(0.158332\pi\)
\(384\) 1.72527 + 0.153163i 0.0880421 + 0.00781605i
\(385\) −19.2704 + 30.6650i −0.982111 + 1.56283i
\(386\) 17.2773 + 14.9708i 0.879390 + 0.761996i
\(387\) 0.123700 + 0.207816i 0.00628802 + 0.0105639i
\(388\) −3.11035 + 6.81073i −0.157904 + 0.345762i
\(389\) −3.01858 20.9947i −0.153048 1.06447i −0.911072 0.412247i \(-0.864744\pi\)
0.758024 0.652227i \(-0.226165\pi\)
\(390\) −2.81013 3.80917i −0.142296 0.192885i
\(391\) −6.58044 29.0847i −0.332787 1.47088i
\(392\) 16.5462 0.835710
\(393\) −13.4519 7.64756i −0.678561 0.385768i
\(394\) 1.00575 2.20230i 0.0506692 0.110950i
\(395\) −13.8196 + 0.140225i −0.695339 + 0.00705547i
\(396\) −8.96076 4.46963i −0.450295 0.224608i
\(397\) 0.194218 0.661447i 0.00974755 0.0331971i −0.954476 0.298289i \(-0.903584\pi\)
0.964223 + 0.265092i \(0.0854023\pi\)
\(398\) 5.37104 + 8.35750i 0.269226 + 0.418924i
\(399\) 19.4633 + 4.58480i 0.974384 + 0.229527i
\(400\) 0.811853 + 4.93365i 0.0405926 + 0.246682i
\(401\) −10.8465 6.97064i −0.541650 0.348097i 0.241034 0.970517i \(-0.422513\pi\)
−0.782684 + 0.622419i \(0.786150\pi\)
\(402\) 3.29928 3.18805i 0.164553 0.159005i
\(403\) −6.37591 0.916718i −0.317607 0.0456650i
\(404\) −9.12729 + 14.2023i −0.454100 + 0.706593i
\(405\) 11.8503 16.2656i 0.588845 0.808246i
\(406\) −28.7870 + 13.1466i −1.42867 + 0.652454i
\(407\) 2.35541 1.51373i 0.116753 0.0750329i
\(408\) −8.73092 + 6.30526i −0.432245 + 0.312157i
\(409\) 19.9229 22.9923i 0.985125 1.13689i −0.00545882 0.999985i \(-0.501738\pi\)
0.990584 0.136909i \(-0.0437169\pi\)
\(410\) −13.1396 + 0.133325i −0.648919 + 0.00658445i
\(411\) 8.88404 + 16.9546i 0.438218 + 0.836310i
\(412\) −2.50854 17.4473i −0.123587 0.859567i
\(413\) 22.5516i 1.10969i
\(414\) 14.3727 0.653205i 0.706378 0.0321033i
\(415\) −29.4841 8.33330i −1.44732 0.409066i
\(416\) −1.20976 + 0.173937i −0.0593133 + 0.00852797i
\(417\) 4.95282 2.59522i 0.242541 0.127089i
\(418\) 2.23733 + 7.61964i 0.109431 + 0.372689i
\(419\) 11.9438 13.7838i 0.583491 0.673384i −0.384861 0.922975i \(-0.625751\pi\)
0.968352 + 0.249590i \(0.0802960\pi\)
\(420\) −17.6540 + 6.44425i −0.861429 + 0.314447i
\(421\) −7.44535 11.5852i −0.362864 0.564627i 0.611037 0.791602i \(-0.290753\pi\)
−0.973901 + 0.226975i \(0.927116\pi\)
\(422\) 4.80859 + 10.5293i 0.234078 + 0.512560i
\(423\) 7.63049 11.0232i 0.371007 0.535964i
\(424\) 5.83690 9.08239i 0.283465 0.441080i
\(425\) −23.9040 19.8782i −1.15951 0.964234i
\(426\) 10.2415 + 10.5988i 0.496203 + 0.513516i
\(427\) −28.7648 + 44.7589i −1.39203 + 2.16603i
\(428\) 3.42638 2.96898i 0.165620 0.143511i
\(429\) 6.87775 + 1.62013i 0.332061 + 0.0782206i
\(430\) 0.0525377 + 0.172435i 0.00253359 + 0.00831555i
\(431\) −15.1604 4.45149i −0.730249 0.214421i −0.104588 0.994516i \(-0.533352\pi\)
−0.625661 + 0.780095i \(0.715171\pi\)
\(432\) −2.25250 4.68255i −0.108373 0.225289i
\(433\) −7.25996 + 2.13172i −0.348892 + 0.102444i −0.451483 0.892280i \(-0.649105\pi\)
0.102591 + 0.994724i \(0.467287\pi\)
\(434\) −10.6240 + 23.2632i −0.509966 + 1.11667i
\(435\) 17.9853 17.7354i 0.862331 0.850346i
\(436\) 14.7283i 0.705356i
\(437\) −8.13483 8.00081i −0.389142 0.382731i
\(438\) −3.53808 + 4.56118i −0.169056 + 0.217942i
\(439\) −0.819397 5.69903i −0.0391077 0.272000i 0.960880 0.276965i \(-0.0893286\pi\)
−0.999988 + 0.00496511i \(0.998420\pi\)
\(440\) −5.69001 4.83021i −0.271260 0.230271i
\(441\) −25.3893 42.6542i −1.20902 2.03115i
\(442\) 4.97659 5.74329i 0.236712 0.273180i
\(443\) 5.18802 + 1.52334i 0.246490 + 0.0723760i 0.402644 0.915357i \(-0.368091\pi\)
−0.156154 + 0.987733i \(0.549910\pi\)
\(444\) 1.44719 + 0.128476i 0.0686806 + 0.00609721i
\(445\) −11.5305 + 1.77743i −0.546600 + 0.0842584i
\(446\) 1.25062 1.08367i 0.0592188 0.0513134i
\(447\) 5.89018 + 16.6590i 0.278596 + 0.787943i
\(448\) −0.690575 + 4.80305i −0.0326266 + 0.226923i
\(449\) −17.6544 2.53831i −0.833160 0.119790i −0.287483 0.957786i \(-0.592819\pi\)
−0.545677 + 0.837995i \(0.683728\pi\)
\(450\) 11.4726 9.66329i 0.540824 0.455532i
\(451\) 14.8241 12.8451i 0.698039 0.604854i
\(452\) −5.12308 + 2.33963i −0.240969 + 0.110047i
\(453\) −16.0801 1.42753i −0.755508 0.0670712i
\(454\) −3.57098 + 12.1616i −0.167594 + 0.570774i
\(455\) 11.0828 7.28245i 0.519571 0.341406i
\(456\) −1.50606 + 3.83574i −0.0705275 + 0.179625i
\(457\) 9.77133 21.3962i 0.457083 1.00087i −0.531059 0.847335i \(-0.678206\pi\)
0.988143 0.153538i \(-0.0490668\pi\)
\(458\) 15.9444 2.29245i 0.745031 0.107119i
\(459\) 29.6514 + 12.8322i 1.38401 + 0.598955i
\(460\) 10.5190 + 2.08578i 0.490451 + 0.0972500i
\(461\) 1.49932i 0.0698304i 0.999390 + 0.0349152i \(0.0111161\pi\)
−0.999390 + 0.0349152i \(0.988884\pi\)
\(462\) 13.8649 24.3881i 0.645053 1.13464i
\(463\) 1.31129 + 0.598848i 0.0609410 + 0.0278308i 0.445652 0.895206i \(-0.352972\pi\)
−0.384711 + 0.923037i \(0.625699\pi\)
\(464\) −1.83741 6.25766i −0.0852998 0.290504i
\(465\) 1.59863 20.3495i 0.0741346 0.943684i
\(466\) 5.44186 + 1.59787i 0.252089 + 0.0740201i
\(467\) 15.2039 + 23.6578i 0.703555 + 1.09475i 0.990594 + 0.136834i \(0.0436926\pi\)
−0.287039 + 0.957919i \(0.592671\pi\)
\(468\) 2.30470 + 2.85172i 0.106535 + 0.131821i
\(469\) 8.41713 + 9.71388i 0.388667 + 0.448545i
\(470\) 7.48513 6.62006i 0.345263 0.305361i
\(471\) 13.3468 12.8968i 0.614989 0.594255i
\(472\) 4.60017 + 0.661404i 0.211740 + 0.0304436i
\(473\) −0.226367 0.145478i −0.0104084 0.00668906i
\(474\) 10.6894 0.580528i 0.490980 0.0266646i
\(475\) −11.8066 1.45367i −0.541724 0.0666989i
\(476\) −16.3121 25.3821i −0.747665 1.16339i
\(477\) −32.3697 1.11035i −1.48211 0.0508395i
\(478\) −5.58674 4.84094i −0.255532 0.221419i
\(479\) −28.1512 + 8.26594i −1.28626 + 0.377680i −0.852206 0.523206i \(-0.824736\pi\)
−0.434055 + 0.900886i \(0.642918\pi\)
\(480\) −0.796759 3.79014i −0.0363669 0.172996i
\(481\) −1.01477 + 0.145902i −0.0462696 + 0.00665257i
\(482\) 10.3737i 0.472508i
\(483\) −0.356273 + 40.3059i −0.0162110 + 1.83398i
\(484\) 0.141427 0.00642850
\(485\) 16.5951 + 2.21440i 0.753545 + 0.100551i
\(486\) −8.61470 + 12.9918i −0.390771 + 0.589320i
\(487\) 10.5266 + 35.8502i 0.477005 + 1.62453i 0.749240 + 0.662298i \(0.230419\pi\)
−0.272235 + 0.962231i \(0.587763\pi\)
\(488\) −8.28647 7.18027i −0.375111 0.325036i
\(489\) −21.2015 + 15.3112i −0.958767 + 0.692398i
\(490\) −10.7833 35.3922i −0.487141 1.59886i
\(491\) −3.12892 + 1.42893i −0.141206 + 0.0644867i −0.484765 0.874645i \(-0.661095\pi\)
0.343559 + 0.939131i \(0.388368\pi\)
\(492\) 10.1634 0.551964i 0.458203 0.0248845i
\(493\) 34.1144 + 21.9240i 1.53644 + 0.987407i
\(494\) 0.413823 2.87820i 0.0186188 0.129496i
\(495\) −3.72068 + 22.0799i −0.167232 + 0.992416i
\(496\) −4.43374 2.84939i −0.199081 0.127942i
\(497\) −31.2056 + 27.0398i −1.39976 + 1.21290i
\(498\) 23.1007 + 5.44162i 1.03517 + 0.243845i
\(499\) −34.7028 + 22.3022i −1.55351 + 0.998382i −0.569148 + 0.822235i \(0.692727\pi\)
−0.984364 + 0.176147i \(0.943637\pi\)
\(500\) 10.0239 4.95185i 0.448284 0.221453i
\(501\) 15.2899 3.05257i 0.683103 0.136379i
\(502\) 2.68372 0.788012i 0.119780 0.0351707i
\(503\) 15.8125 + 7.22133i 0.705045 + 0.321983i 0.735473 0.677554i \(-0.236960\pi\)
−0.0304282 + 0.999537i \(0.509687\pi\)
\(504\) 13.4413 5.58983i 0.598725 0.248991i
\(505\) 36.3270 + 10.2674i 1.61653 + 0.456892i
\(506\) −13.9856 + 7.78819i −0.621736 + 0.346227i
\(507\) 15.7472 + 12.2150i 0.699357 + 0.542487i
\(508\) −17.5969 + 2.53005i −0.780736 + 0.112253i
\(509\) 0.466876 + 0.213215i 0.0206939 + 0.00945060i 0.425735 0.904848i \(-0.360016\pi\)
−0.405041 + 0.914298i \(0.632743\pi\)
\(510\) 19.1769 + 14.5662i 0.849168 + 0.645000i
\(511\) −12.2221 10.5905i −0.540674 0.468497i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 12.1990 2.00332i 0.538601 0.0884486i
\(514\) −9.54202 20.8941i −0.420880 0.921599i
\(515\) −35.6847 + 16.7363i −1.57246 + 0.737490i
\(516\) −0.0465455 0.131643i −0.00204905 0.00579527i
\(517\) −2.12283 + 14.7646i −0.0933619 + 0.649346i
\(518\) −0.579269 + 4.02891i −0.0254516 + 0.177020i
\(519\) 6.92524 + 19.5864i 0.303984 + 0.859748i
\(520\) 1.16046 + 2.47430i 0.0508896 + 0.108505i
\(521\) 8.65873 + 18.9600i 0.379346 + 0.830652i 0.998953 + 0.0457398i \(0.0145645\pi\)
−0.619607 + 0.784912i \(0.712708\pi\)
\(522\) −13.3121 + 14.3387i −0.582653 + 0.627588i
\(523\) −9.22426 2.70849i −0.403349 0.118434i 0.0737644 0.997276i \(-0.476499\pi\)
−0.477113 + 0.878842i \(0.658317\pi\)
\(524\) 6.75174 + 5.85041i 0.294951 + 0.255576i
\(525\) 25.2895 + 33.5620i 1.10372 + 1.46477i
\(526\) −10.8390 4.95000i −0.472602 0.215830i
\(527\) 32.4370 4.66374i 1.41298 0.203156i
\(528\) 4.56815 + 3.54348i 0.198803 + 0.154210i
\(529\) 12.1116 19.5527i 0.526593 0.850117i
\(530\) −23.2311 6.56598i −1.00909 0.285208i
\(531\) −5.35370 12.8736i −0.232331 0.558665i
\(532\) −10.5014 4.79584i −0.455295 0.207926i
\(533\) −6.89134 + 2.02348i −0.298497 + 0.0876466i
\(534\) 8.86213 1.76929i 0.383502 0.0765646i
\(535\) −8.58362 5.39408i −0.371102 0.233207i
\(536\) −2.22834 + 1.43207i −0.0962496 + 0.0618559i
\(537\) −24.0820 5.67278i −1.03921 0.244799i
\(538\) −4.49403 + 3.89410i −0.193751 + 0.167886i
\(539\) 46.4618 + 29.8592i 2.00125 + 1.28613i
\(540\) −8.54794 + 7.86973i −0.367845 + 0.338659i
\(541\) −1.91788 + 13.3391i −0.0824561 + 0.573495i 0.906149 + 0.422959i \(0.139009\pi\)
−0.988605 + 0.150535i \(0.951900\pi\)
\(542\) −2.66028 1.70966i −0.114269 0.0734362i
\(543\) −4.63535 + 0.251740i −0.198922 + 0.0108032i
\(544\) 5.65596 2.58299i 0.242497 0.110745i
\(545\) 31.5036 9.59855i 1.34947 0.411157i
\(546\) −8.32764 + 6.01401i −0.356390 + 0.257376i
\(547\) −13.1168 11.3658i −0.560834 0.485965i 0.327697 0.944783i \(-0.393728\pi\)
−0.888530 + 0.458818i \(0.848273\pi\)
\(548\) −3.11348 10.6035i −0.133001 0.452960i
\(549\) −5.79470 + 32.3793i −0.247312 + 1.38191i
\(550\) −6.62355 + 15.3188i −0.282429 + 0.653194i
\(551\) 15.5164 0.661023
\(552\) −8.21130 1.25478i −0.349496 0.0534071i
\(553\) 29.9911i 1.27535i
\(554\) 32.0354 4.60600i 1.36105 0.195690i
\(555\) −0.668338 3.17925i −0.0283694 0.134952i
\(556\) −3.09752 + 0.909515i −0.131364 + 0.0385720i
\(557\) −1.24654 1.08014i −0.0528178 0.0457669i 0.628052 0.778171i \(-0.283853\pi\)
−0.680870 + 0.732405i \(0.738398\pi\)
\(558\) −0.542039 + 15.8019i −0.0229463 + 0.668948i
\(559\) 0.0532681 + 0.0828868i 0.00225300 + 0.00350574i
\(560\) 10.7237 1.65306i 0.453161 0.0698547i
\(561\) −35.8949 + 1.94941i −1.51548 + 0.0823040i
\(562\) −3.97060 2.55175i −0.167489 0.107639i
\(563\) 10.1569 + 1.46034i 0.428061 + 0.0615458i 0.352978 0.935632i \(-0.385169\pi\)
0.0750823 + 0.997177i \(0.476078\pi\)
\(564\) −5.56621 + 5.37855i −0.234380 + 0.226478i
\(565\) 8.34321 + 9.43345i 0.351001 + 0.396868i
\(566\) 7.67868 + 8.86166i 0.322759 + 0.372484i
\(567\) −35.0350 26.0729i −1.47133 1.09496i
\(568\) −4.60047 7.15847i −0.193032 0.300363i
\(569\) −8.71612 2.55928i −0.365399 0.107291i 0.0938787 0.995584i \(-0.470073\pi\)
−0.459277 + 0.888293i \(0.651892\pi\)
\(570\) 9.18612 + 0.721650i 0.384764 + 0.0302266i
\(571\) −0.652046 2.22066i −0.0272873 0.0929319i 0.944724 0.327868i \(-0.106330\pi\)
−0.972011 + 0.234936i \(0.924512\pi\)
\(572\) −3.71089 1.69471i −0.155160 0.0708592i
\(573\) 20.6112 36.2548i 0.861045 1.51456i
\(574\) 28.5155i 1.19021i
\(575\) −2.39388 23.8594i −0.0998315 0.995004i
\(576\) 0.746021 + 2.90576i 0.0310842 + 0.121073i
\(577\) 46.6498 6.70723i 1.94206 0.279226i 0.943428 0.331578i \(-0.107581\pi\)
0.998629 + 0.0523524i \(0.0166719\pi\)
\(578\) −8.99862 + 19.7042i −0.374293 + 0.819588i
\(579\) −14.4716 + 36.8573i −0.601418 + 1.53174i
\(580\) −12.1876 + 8.00838i −0.506063 + 0.332530i
\(581\) −18.7322 + 63.7960i −0.777142 + 2.64670i
\(582\) −12.9177 1.14678i −0.535454 0.0475356i
\(583\) 32.7800 14.9701i 1.35761 0.620000i
\(584\) 2.51875 2.18251i 0.104227 0.0903129i
\(585\) 4.59779 6.78822i 0.190095 0.280659i
\(586\) 1.57999 + 0.227168i 0.0652688 + 0.00938424i
\(587\) −3.64962 + 25.3837i −0.150636 + 1.04770i 0.764521 + 0.644599i \(0.222976\pi\)
−0.915157 + 0.403097i \(0.867934\pi\)
\(588\) 9.55345 + 27.0197i 0.393978 + 1.11427i
\(589\) 9.47641 8.21135i 0.390469 0.338343i
\(590\) −1.58324 10.2708i −0.0651808 0.422840i
\(591\) 4.17701 + 0.370820i 0.171819 + 0.0152535i
\(592\) −0.804844 0.236323i −0.0330789 0.00971283i
\(593\) −0.557126 + 0.642958i −0.0228784 + 0.0264031i −0.767073 0.641559i \(-0.778288\pi\)
0.744195 + 0.667962i \(0.232833\pi\)
\(594\) 2.12507 17.2134i 0.0871929 0.706276i
\(595\) −43.6614 + 51.4332i −1.78994 + 2.10856i
\(596\) −1.45183 10.0977i −0.0594694 0.413619i
\(597\) −10.5465 + 13.5963i −0.431641 + 0.556458i
\(598\) 5.84285 0.466694i 0.238932 0.0190845i
\(599\) 0.0217945i 0.000890501i 1.00000 0.000445250i \(0.000141728\pi\)
−1.00000 0.000445250i \(0.999858\pi\)
\(600\) −7.58782 + 4.17433i −0.309771 + 0.170416i
\(601\) 6.82025 14.9343i 0.278204 0.609181i −0.718018 0.696024i \(-0.754951\pi\)
0.996222 + 0.0868431i \(0.0276779\pi\)
\(602\) 0.375335 0.110208i 0.0152975 0.00449175i
\(603\) 7.11097 + 3.54696i 0.289581 + 0.144443i
\(604\) 8.94281 + 2.62585i 0.363878 + 0.106844i
\(605\) −0.0921694 0.302511i −0.00374722 0.0122988i
\(606\) −28.4621 6.70457i −1.15619 0.272354i
\(607\) 19.5482 16.9386i 0.793435 0.687516i −0.160663 0.987009i \(-0.551363\pi\)
0.954098 + 0.299494i \(0.0968178\pi\)
\(608\) 1.28627 2.00147i 0.0521650 0.0811703i
\(609\) −38.0892 39.4181i −1.54345 1.59730i
\(610\) −9.95815 + 22.4041i −0.403194 + 0.907117i
\(611\) 2.95288 4.59476i 0.119461 0.185884i
\(612\) −15.3374 10.6169i −0.619979 0.429164i
\(613\) −15.0218 32.8931i −0.606724 1.32854i −0.924792 0.380472i \(-0.875761\pi\)
0.318068 0.948068i \(-0.396966\pi\)
\(614\) −0.459279 0.714652i −0.0185350 0.0288410i
\(615\) −7.80426 21.3798i −0.314698 0.862116i
\(616\) −10.6067 + 12.2408i −0.427356 + 0.493195i
\(617\) −5.79065 19.7211i −0.233123 0.793943i −0.990083 0.140482i \(-0.955135\pi\)
0.756961 0.653461i \(-0.226683\pi\)
\(618\) 27.0428 14.1701i 1.08782 0.570006i
\(619\) −11.4223 + 1.64227i −0.459099 + 0.0660085i −0.367985 0.929832i \(-0.619952\pi\)
−0.0911146 + 0.995840i \(0.529043\pi\)
\(620\) −3.20531 + 11.3407i −0.128728 + 0.455454i
\(621\) 9.36515 + 23.0932i 0.375811 + 0.926696i
\(622\) 14.7921i 0.593111i
\(623\) 3.60309 + 25.0600i 0.144355 + 1.00401i
\(624\) −0.982526 1.87509i −0.0393325 0.0750636i
\(625\) −17.1246 18.2139i −0.684986 0.728556i
\(626\) 21.6863 25.0273i 0.866758 1.00029i
\(627\) −11.1510 + 8.05294i −0.445326 + 0.321604i
\(628\) −9.01446 + 5.79324i −0.359716 + 0.231175i
\(629\) 4.74434 2.16667i 0.189169 0.0863908i
\(630\) −20.7164 25.1080i −0.825362 1.00032i
\(631\) −1.42084 + 2.21088i −0.0565629 + 0.0880136i −0.868383 0.495894i \(-0.834841\pi\)
0.811820 + 0.583907i \(0.198477\pi\)
\(632\) −6.11771 0.879594i −0.243350 0.0349884i
\(633\) −14.4178 + 13.9318i −0.573058 + 0.553738i
\(634\) −17.5544 11.2815i −0.697175 0.448047i
\(635\) 16.8798 + 35.9907i 0.669855 + 1.42825i
\(636\) 18.2015 + 4.28757i 0.721736 + 0.170013i
\(637\) −10.9333 17.0125i −0.433191 0.674059i
\(638\) 6.13306 20.8873i 0.242810 0.826936i
\(639\) −11.3945 + 22.8438i −0.450759 + 0.903686i
\(640\) 0.0226878 + 2.23595i 0.000896813 + 0.0883838i
\(641\) 16.0864 35.2243i 0.635375 1.39128i −0.268417 0.963303i \(-0.586500\pi\)
0.903791 0.427973i \(-0.140772\pi\)
\(642\) 6.82661 + 3.88100i 0.269425 + 0.153171i
\(643\) 26.9435 1.06255 0.531275 0.847200i \(-0.321713\pi\)
0.531275 + 0.847200i \(0.321713\pi\)
\(644\) 4.75769 22.7800i 0.187479 0.897657i
\(645\) −0.251249 + 0.185353i −0.00989292 + 0.00729829i
\(646\) 2.10530 + 14.6427i 0.0828318 + 0.576108i
\(647\) −18.5997 + 40.7277i −0.731230 + 1.60117i 0.0662342 + 0.997804i \(0.478902\pi\)
−0.797464 + 0.603366i \(0.793826\pi\)
\(648\) 6.34597 6.38190i 0.249293 0.250705i
\(649\) 11.7237 + 10.1587i 0.460196 + 0.398762i
\(650\) 4.53623 4.09474i 0.177925 0.160609i
\(651\) −44.1225 3.91703i −1.72930 0.153521i
\(652\) 13.7345 6.27235i 0.537886 0.245644i
\(653\) 6.13103 + 7.07558i 0.239926 + 0.276889i 0.862923 0.505335i \(-0.168631\pi\)
−0.622998 + 0.782224i \(0.714085\pi\)
\(654\) −24.0510 + 8.50380i −0.940469 + 0.332525i
\(655\) 8.11380 18.2547i 0.317032 0.713269i
\(656\) −5.81670 0.836315i −0.227104 0.0326526i
\(657\) −9.49115 3.14409i −0.370285 0.122662i
\(658\) −14.2005 16.3883i −0.553594 0.638881i
\(659\) −12.1960 26.7055i −0.475088 1.04030i −0.983785 0.179352i \(-0.942600\pi\)
0.508697 0.860946i \(-0.330127\pi\)
\(660\) 4.60236 12.0805i 0.179147 0.470235i
\(661\) 1.95949 6.67340i 0.0762152 0.259565i −0.912568 0.408926i \(-0.865903\pi\)
0.988783 + 0.149361i \(0.0477216\pi\)
\(662\) 19.0804 22.0199i 0.741579 0.855828i
\(663\) 12.2521 + 4.81063i 0.475831 + 0.186829i
\(664\) −12.4640 5.69211i −0.483696 0.220897i
\(665\) −3.41438 + 25.5880i −0.132404 + 0.992258i
\(666\) 0.625779 + 2.43742i 0.0242484 + 0.0944480i
\(667\) 6.90214 + 30.5066i 0.267252 + 1.18122i
\(668\) −9.00184 −0.348292
\(669\) 2.49170 + 1.41656i 0.0963348 + 0.0547673i
\(670\) 4.51540 + 3.83310i 0.174445 + 0.148086i
\(671\) −10.3110 35.1159i −0.398050 1.35563i
\(672\) −8.24203 + 1.64549i −0.317943 + 0.0634761i
\(673\) −7.36965 + 25.0987i −0.284079 + 0.967485i 0.686586 + 0.727049i \(0.259109\pi\)
−0.970665 + 0.240436i \(0.922709\pi\)
\(674\) −26.1469 + 16.8036i −1.00714 + 0.647251i
\(675\) 22.4040 + 13.1552i 0.862332 + 0.506343i
\(676\) −7.53498 8.69583i −0.289807 0.334455i
\(677\) 25.1682 39.1626i 0.967294 1.50514i 0.107686 0.994185i \(-0.465656\pi\)
0.859608 0.510954i \(-0.170708\pi\)
\(678\) −6.77854 7.01505i −0.260328 0.269411i
\(679\) 5.17057 35.9621i 0.198428 1.38010i
\(680\) −9.21104 10.4147i −0.353227 0.399385i
\(681\) −21.9216 + 1.19053i −0.840036 + 0.0456213i
\(682\) −7.30796 16.0022i −0.279836 0.612756i
\(683\) 11.6957 7.51640i 0.447525 0.287607i −0.297403 0.954752i \(-0.596120\pi\)
0.744928 + 0.667145i \(0.232484\pi\)
\(684\) −7.13326 0.244686i −0.272747 0.00935580i
\(685\) −20.6517 + 13.5701i −0.789063 + 0.518487i
\(686\) −44.4461 + 13.0506i −1.69696 + 0.498273i
\(687\) 12.9495 + 24.7132i 0.494054 + 0.942869i
\(688\) 0.0114727 + 0.0797946i 0.000437394 + 0.00304214i
\(689\) −13.1952 −0.502696
\(690\) 2.66742 + 18.3816i 0.101547 + 0.699777i
\(691\) −48.1594 −1.83207 −0.916035 0.401099i \(-0.868628\pi\)
−0.916035 + 0.401099i \(0.868628\pi\)
\(692\) −1.70696 11.8722i −0.0648889 0.451312i
\(693\) 47.8307 + 8.55992i 1.81694 + 0.325165i
\(694\) −21.2298 + 6.23362i −0.805871 + 0.236625i
\(695\) 3.96413 + 6.03283i 0.150368 + 0.228838i
\(696\) 9.15776 6.61351i 0.347124 0.250684i
\(697\) 30.7388 19.7547i 1.16432 0.748261i
\(698\) −5.79522 12.6898i −0.219352 0.480315i
\(699\) 0.532717 + 9.80904i 0.0201492 + 0.371012i
\(700\) −10.5246 21.8606i −0.397794 0.826254i
\(701\) −3.67381 + 25.5519i −0.138758 + 0.965083i 0.794855 + 0.606799i \(0.207547\pi\)
−0.933613 + 0.358283i \(0.883362\pi\)
\(702\) −3.32611 + 5.41006i −0.125536 + 0.204190i
\(703\) 1.07895 1.67888i 0.0406933 0.0633200i
\(704\) −2.18584 2.52260i −0.0823821 0.0950740i
\(705\) 15.1322 + 8.40081i 0.569912 + 0.316393i
\(706\) 20.5623 13.2146i 0.773871 0.497337i
\(707\) 23.0797 78.6023i 0.868003 2.95615i
\(708\) 1.57598 + 7.89387i 0.0592290 + 0.296670i
\(709\) −1.69608 5.77633i −0.0636977 0.216934i 0.921493 0.388394i \(-0.126970\pi\)
−0.985191 + 0.171459i \(0.945152\pi\)
\(710\) −12.3137 + 14.5056i −0.462126 + 0.544386i
\(711\) 7.11983 + 17.1204i 0.267015 + 0.642066i
\(712\) −5.21752 −0.195535
\(713\) 20.3595 + 14.9787i 0.762471 + 0.560958i
\(714\) 32.0303 41.2925i 1.19870 1.54533i
\(715\) −1.20654 + 9.04201i −0.0451219 + 0.338152i
\(716\) 12.9934 + 5.93391i 0.485588 + 0.221761i
\(717\) 4.67950 11.9181i 0.174759 0.445090i
\(718\) 14.6951 16.9591i 0.548418 0.632908i
\(719\) 9.67608 32.9537i 0.360857 1.22897i −0.556482 0.830859i \(-0.687849\pi\)
0.917339 0.398106i \(-0.130332\pi\)
\(720\) 5.72920 3.48944i 0.213515 0.130044i
\(721\) 35.5315 + 77.8032i 1.32326 + 2.89754i
\(722\) −8.73560 10.0814i −0.325105 0.375192i
\(723\) 16.9400 5.98955i 0.630006 0.222754i
\(724\) 2.65288 + 0.381427i 0.0985936 + 0.0141756i
\(725\) 25.0726 + 20.8500i 0.931174 + 0.774350i
\(726\) 0.0816571 + 0.230948i 0.00303058 + 0.00857128i
\(727\) −1.34472 1.55190i −0.0498731 0.0575566i 0.730265 0.683164i \(-0.239397\pi\)
−0.780138 + 0.625607i \(0.784851\pi\)
\(728\) 5.39471 2.46368i 0.199941 0.0913101i
\(729\) −26.1893 6.56646i −0.969976 0.243202i
\(730\) −6.30986 3.96522i −0.233538 0.146759i
\(731\) −0.378822 0.328251i −0.0140112 0.0121408i
\(732\) 6.94082 17.6774i 0.256540 0.653376i
\(733\) 17.4106 38.1240i 0.643076 1.40814i −0.254409 0.967097i \(-0.581881\pi\)
0.897485 0.441044i \(-0.145392\pi\)
\(734\) 2.57694 + 17.9230i 0.0951164 + 0.661549i
\(735\) 51.5688 38.0437i 1.90214 1.40326i
\(736\) 4.50722 + 1.63859i 0.166138 + 0.0603994i
\(737\) −8.84148 −0.325680
\(738\) 6.76951 + 16.2780i 0.249189 + 0.599203i
\(739\) −8.05339 + 17.6345i −0.296249 + 0.648694i −0.997965 0.0637622i \(-0.979690\pi\)
0.701716 + 0.712456i \(0.252417\pi\)
\(740\) 0.0190310 + 1.87557i 0.000699594 + 0.0689472i
\(741\) 4.93898 0.986049i 0.181438 0.0362234i
\(742\) −14.7595 + 50.2662i −0.541838 + 1.84533i
\(743\) 13.6799 + 21.2864i 0.501867 + 0.780921i 0.996083 0.0884183i \(-0.0281812\pi\)
−0.494216 + 0.869339i \(0.664545\pi\)
\(744\) 2.09306 8.88540i 0.0767352 0.325755i
\(745\) −20.6528 + 9.68624i −0.756659 + 0.354876i
\(746\) −15.8592 10.1921i −0.580647 0.373159i
\(747\) 4.45177 + 40.8649i 0.162882 + 1.49517i
\(748\) 20.5432 + 2.95367i 0.751134 + 0.107997i
\(749\) −11.8940 + 18.5074i −0.434597 + 0.676246i
\(750\) 13.8739 + 13.5098i 0.506603 + 0.493308i
\(751\) −30.8269 + 14.0782i −1.12489 + 0.513720i −0.888930 0.458042i \(-0.848551\pi\)
−0.235960 + 0.971763i \(0.575824\pi\)
\(752\) 3.75942 2.41603i 0.137092 0.0881037i
\(753\) 2.83634 + 3.92749i 0.103362 + 0.143126i
\(754\) −5.21988 + 6.02407i −0.190097 + 0.219384i
\(755\) −0.211458 20.8399i −0.00769575 0.758440i
\(756\) 16.8888 + 18.7220i 0.614241 + 0.680914i
\(757\) 6.15408 + 42.8025i 0.223674 + 1.55568i 0.723971 + 0.689831i \(0.242315\pi\)
−0.500297 + 0.865854i \(0.666776\pi\)
\(758\) 13.9439i 0.506465i
\(759\) −20.7930 18.3415i −0.754737 0.665754i
\(760\) −5.11940 1.44693i −0.185700 0.0524858i
\(761\) 4.51009 0.648452i 0.163490 0.0235064i −0.0600834 0.998193i \(-0.519137\pi\)
0.223574 + 0.974687i \(0.428228\pi\)
\(762\) −14.2916 27.2746i −0.517731 0.988055i
\(763\) −20.1349 68.5731i −0.728932 2.48251i
\(764\) −15.7676 + 18.1968i −0.570453 + 0.658338i
\(765\) −12.7139 + 39.7258i −0.459673 + 1.43629i
\(766\) −12.7217 19.7954i −0.459655 0.715238i
\(767\) −2.35961 5.16683i −0.0852007 0.186564i
\(768\) −0.0939272 1.72950i −0.00338931 0.0624080i
\(769\) 21.6637 33.7093i 0.781212 1.21559i −0.191024 0.981585i \(-0.561181\pi\)
0.972236 0.234004i \(-0.0751828\pi\)
\(770\) 33.0954 + 14.7102i 1.19267 + 0.530118i
\(771\) 28.6103 27.6458i 1.03038 0.995638i
\(772\) 12.3596 19.2320i 0.444833 0.692174i
\(773\) 3.63972 3.15384i 0.130912 0.113436i −0.586944 0.809627i \(-0.699669\pi\)