Properties

Label 690.2.w.b.7.1
Level $690$
Weight $2$
Character 690.7
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.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-1.95274 + 1.08941i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.32241 - 2.42181i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-1.95274 + 1.08941i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.32241 - 2.42181i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(1.87005 - 1.22594i) q^{10} +(1.06157 - 0.919855i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(-0.373337 + 0.203857i) q^{13} +(-1.14627 + 2.50998i) q^{14} +(-0.649426 - 2.13968i) q^{15} +(0.959493 - 0.281733i) q^{16} +(3.65418 + 4.88142i) q^{17} +(0.936950 + 0.349464i) q^{18} +(-1.15607 - 8.04065i) q^{19} +(-1.77783 + 1.35622i) q^{20} +(2.08536 + 1.80698i) q^{21} +(-0.993243 + 0.993243i) q^{22} +(-2.54521 - 4.06472i) q^{23} -1.00000i q^{24} +(2.62639 - 4.25466i) q^{25} +(0.357843 - 0.229972i) q^{26} +(0.599278 - 0.800541i) q^{27} +(0.964288 - 2.58536i) q^{28} +(5.63176 + 0.809725i) q^{29} +(0.800414 + 2.08790i) q^{30} +(5.70892 + 3.66890i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(0.673180 + 1.23284i) q^{33} +(-3.99311 - 4.60829i) q^{34} +(0.0560165 + 6.16980i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(1.21628 + 3.26096i) q^{37} +(1.72674 + 7.93769i) q^{38} +(-0.119840 - 0.408138i) q^{39} +(1.67654 - 1.47960i) q^{40} +(-1.16152 - 2.54337i) q^{41} +(-2.20896 - 1.65361i) q^{42} +(2.34544 + 0.510219i) q^{43} +(0.919855 - 1.06157i) q^{44} +(2.22883 - 0.179762i) q^{45} +(2.82870 + 3.87279i) q^{46} +(9.19442 + 9.19442i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(-0.331909 - 0.516460i) q^{49} +(-2.31617 + 4.43118i) q^{50} +(-5.54661 + 2.53305i) q^{51} +(-0.340525 + 0.254914i) q^{52} +(-2.54165 - 1.38785i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(-1.07087 + 2.95272i) q^{55} +(-0.777394 + 2.64756i) q^{56} +(8.10264 + 0.579512i) q^{57} +(-5.67518 - 0.405897i) q^{58} +(2.60440 - 8.86977i) q^{59} +(-0.947324 - 2.02548i) q^{60} +(6.21286 - 9.66741i) q^{61} +(-5.95611 - 3.25228i) q^{62} +(-2.20896 + 1.65361i) q^{63} +(0.909632 - 0.415415i) q^{64} +(0.506946 - 0.804796i) q^{65} +(-0.759415 - 1.18167i) q^{66} +(0.616464 + 8.61929i) q^{67} +(4.31169 + 4.31169i) q^{68} +(4.51285 - 1.62302i) q^{69} +(-0.496022 - 6.15009i) q^{70} +(3.18033 - 3.67030i) q^{71} +(0.977147 + 0.212565i) q^{72} +(5.68363 + 4.25471i) q^{73} +(-1.44581 - 3.16589i) q^{74} +(3.59915 + 3.47076i) q^{75} +(-2.28861 - 7.79429i) q^{76} +(-0.823885 - 3.78734i) q^{77} +(0.148651 + 0.398549i) q^{78} +(4.39954 + 1.29182i) q^{79} +(-1.56672 + 1.59543i) q^{80} +(0.654861 + 0.755750i) q^{81} +(1.34000 + 2.45403i) q^{82} +(-3.65752 + 1.36418i) q^{83} +(2.32130 + 1.49181i) q^{84} +(-12.4535 - 5.55125i) q^{85} +(-2.37586 - 0.341597i) q^{86} +(-1.98834 + 5.33094i) q^{87} +(-0.841780 + 1.12449i) q^{88} +(-0.0406320 + 0.0261126i) q^{89} +(-2.21033 + 0.338307i) q^{90} +1.17373i q^{91} +(-3.09777 - 3.66112i) q^{92} +(-4.79857 + 4.79857i) q^{93} +(-9.82692 - 8.51507i) q^{94} +(11.0170 + 14.4419i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-2.63322 - 0.982139i) q^{97} +(0.367907 + 0.491466i) q^{98} +(-1.34776 + 0.395738i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) −0.212565 + 0.977147i −0.122725 + 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −1.95274 + 1.08941i −0.873292 + 0.487197i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) 1.32241 2.42181i 0.499823 0.915358i −0.498988 0.866609i \(-0.666295\pi\)
0.998811 0.0487487i \(-0.0155233\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 1.87005 1.22594i 0.591361 0.387676i
\(11\) 1.06157 0.919855i 0.320075 0.277347i −0.479972 0.877284i \(-0.659353\pi\)
0.800047 + 0.599937i \(0.204808\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) −0.373337 + 0.203857i −0.103545 + 0.0565399i −0.530187 0.847881i \(-0.677878\pi\)
0.426642 + 0.904421i \(0.359696\pi\)
\(14\) −1.14627 + 2.50998i −0.306353 + 0.670820i
\(15\) −0.649426 2.13968i −0.167681 0.552464i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 3.65418 + 4.88142i 0.886270 + 1.18392i 0.982070 + 0.188517i \(0.0603681\pi\)
−0.0958003 + 0.995401i \(0.530541\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) −1.15607 8.04065i −0.265221 1.84465i −0.491861 0.870674i \(-0.663683\pi\)
0.226640 0.973979i \(-0.427226\pi\)
\(20\) −1.77783 + 1.35622i −0.397534 + 0.303260i
\(21\) 2.08536 + 1.80698i 0.455064 + 0.394315i
\(22\) −0.993243 + 0.993243i −0.211760 + 0.211760i
\(23\) −2.54521 4.06472i −0.530713 0.847552i
\(24\) 1.00000i 0.204124i
\(25\) 2.62639 4.25466i 0.525277 0.850931i
\(26\) 0.357843 0.229972i 0.0701787 0.0451011i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) 0.964288 2.58536i 0.182233 0.488586i
\(29\) 5.63176 + 0.809725i 1.04579 + 0.150362i 0.643732 0.765251i \(-0.277385\pi\)
0.402060 + 0.915613i \(0.368294\pi\)
\(30\) 0.800414 + 2.08790i 0.146135 + 0.381197i
\(31\) 5.70892 + 3.66890i 1.02535 + 0.658954i 0.941322 0.337510i \(-0.109585\pi\)
0.0840297 + 0.996463i \(0.473221\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) 0.673180 + 1.23284i 0.117186 + 0.214610i
\(34\) −3.99311 4.60829i −0.684813 0.790316i
\(35\) 0.0560165 + 6.16980i 0.00946852 + 1.04289i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 1.21628 + 3.26096i 0.199955 + 0.536099i 0.997766 0.0668083i \(-0.0212816\pi\)
−0.797811 + 0.602907i \(0.794009\pi\)
\(38\) 1.72674 + 7.93769i 0.280114 + 1.28766i
\(39\) −0.119840 0.408138i −0.0191898 0.0653544i
\(40\) 1.67654 1.47960i 0.265085 0.233945i
\(41\) −1.16152 2.54337i −0.181399 0.397208i 0.796987 0.603997i \(-0.206426\pi\)
−0.978386 + 0.206788i \(0.933699\pi\)
\(42\) −2.20896 1.65361i −0.340850 0.255157i
\(43\) 2.34544 + 0.510219i 0.357676 + 0.0778077i 0.387813 0.921738i \(-0.373231\pi\)
−0.0301368 + 0.999546i \(0.509594\pi\)
\(44\) 0.919855 1.06157i 0.138673 0.160038i
\(45\) 2.22883 0.179762i 0.332254 0.0267973i
\(46\) 2.82870 + 3.87279i 0.417069 + 0.571011i
\(47\) 9.19442 + 9.19442i 1.34114 + 1.34114i 0.894923 + 0.446221i \(0.147231\pi\)
0.446221 + 0.894923i \(0.352769\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) −0.331909 0.516460i −0.0474155 0.0737800i
\(50\) −2.31617 + 4.43118i −0.327556 + 0.626663i
\(51\) −5.54661 + 2.53305i −0.776681 + 0.354698i
\(52\) −0.340525 + 0.254914i −0.0472223 + 0.0353502i
\(53\) −2.54165 1.38785i −0.349123 0.190635i 0.295113 0.955462i \(-0.404643\pi\)
−0.644236 + 0.764827i \(0.722825\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) −1.07087 + 2.95272i −0.144396 + 0.398144i
\(56\) −0.777394 + 2.64756i −0.103884 + 0.353795i
\(57\) 8.10264 + 0.579512i 1.07322 + 0.0767583i
\(58\) −5.67518 0.405897i −0.745187 0.0532968i
\(59\) 2.60440 8.86977i 0.339064 1.15475i −0.596802 0.802389i \(-0.703562\pi\)
0.935866 0.352357i \(-0.114620\pi\)
\(60\) −0.947324 2.02548i −0.122299 0.261489i
\(61\) 6.21286 9.66741i 0.795476 1.23778i −0.172069 0.985085i \(-0.555045\pi\)
0.967545 0.252700i \(-0.0813184\pi\)
\(62\) −5.95611 3.25228i −0.756426 0.413040i
\(63\) −2.20896 + 1.65361i −0.278303 + 0.208335i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 0.506946 0.804796i 0.0628789 0.0998227i
\(66\) −0.759415 1.18167i −0.0934775 0.145454i
\(67\) 0.616464 + 8.61929i 0.0753131 + 1.05301i 0.884829 + 0.465916i \(0.154275\pi\)
−0.809516 + 0.587098i \(0.800270\pi\)
\(68\) 4.31169 + 4.31169i 0.522869 + 0.522869i
\(69\) 4.51285 1.62302i 0.543283 0.195389i
\(70\) −0.496022 6.15009i −0.0592860 0.735076i
\(71\) 3.18033 3.67030i 0.377436 0.435585i −0.534970 0.844871i \(-0.679677\pi\)
0.912406 + 0.409287i \(0.134222\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) 5.68363 + 4.25471i 0.665219 + 0.497977i 0.877714 0.479186i \(-0.159068\pi\)
−0.212495 + 0.977162i \(0.568159\pi\)
\(74\) −1.44581 3.16589i −0.168072 0.368027i
\(75\) 3.59915 + 3.47076i 0.415593 + 0.400769i
\(76\) −2.28861 7.79429i −0.262521 0.894066i
\(77\) −0.823885 3.78734i −0.0938904 0.431607i
\(78\) 0.148651 + 0.398549i 0.0168314 + 0.0451268i
\(79\) 4.39954 + 1.29182i 0.494986 + 0.145341i 0.519692 0.854354i \(-0.326047\pi\)
−0.0247057 + 0.999695i \(0.507865\pi\)
\(80\) −1.56672 + 1.59543i −0.175164 + 0.178374i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) 1.34000 + 2.45403i 0.147979 + 0.271003i
\(83\) −3.65752 + 1.36418i −0.401464 + 0.149739i −0.542082 0.840325i \(-0.682364\pi\)
0.140618 + 0.990064i \(0.455091\pi\)
\(84\) 2.32130 + 1.49181i 0.253274 + 0.162770i
\(85\) −12.4535 5.55125i −1.35077 0.602117i
\(86\) −2.37586 0.341597i −0.256196 0.0368354i
\(87\) −1.98834 + 5.33094i −0.213172 + 0.571536i
\(88\) −0.841780 + 1.12449i −0.0897340 + 0.119871i
\(89\) −0.0406320 + 0.0261126i −0.00430698 + 0.00276793i −0.542793 0.839867i \(-0.682633\pi\)
0.538486 + 0.842635i \(0.318997\pi\)
\(90\) −2.21033 + 0.338307i −0.232989 + 0.0356607i
\(91\) 1.17373i 0.123041i
\(92\) −3.09777 3.66112i −0.322965 0.381698i
\(93\) −4.79857 + 4.79857i −0.497589 + 0.497589i
\(94\) −9.82692 8.51507i −1.01357 0.878263i
\(95\) 11.0170 + 14.4419i 1.13033 + 1.48171i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) −2.63322 0.982139i −0.267363 0.0997211i 0.212208 0.977225i \(-0.431935\pi\)
−0.479570 + 0.877503i \(0.659207\pi\)
\(98\) 0.367907 + 0.491466i 0.0371642 + 0.0496456i
\(99\) −1.34776 + 0.395738i −0.135455 + 0.0397731i
\(100\) 1.99415 4.58512i 0.199415 0.458512i
\(101\) 6.54239 14.3258i 0.650992 1.42547i −0.239691 0.970849i \(-0.577046\pi\)
0.890683 0.454624i \(-0.150226\pi\)
\(102\) 5.35178 2.92229i 0.529905 0.289350i
\(103\) 1.22367 17.1092i 0.120572 1.68582i −0.473018 0.881053i \(-0.656835\pi\)
0.593590 0.804768i \(-0.297710\pi\)
\(104\) 0.321472 0.278557i 0.0315229 0.0273148i
\(105\) −6.04071 1.25675i −0.589513 0.122646i
\(106\) 2.63418 + 1.20299i 0.255855 + 0.116845i
\(107\) −1.17346 + 0.255271i −0.113443 + 0.0246779i −0.268928 0.963160i \(-0.586669\pi\)
0.155486 + 0.987838i \(0.450306\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) −1.13944 + 7.92495i −0.109138 + 0.759073i 0.859596 + 0.510974i \(0.170715\pi\)
−0.968735 + 0.248099i \(0.920194\pi\)
\(110\) 0.857499 3.02159i 0.0817593 0.288097i
\(111\) −3.44498 + 0.495313i −0.326983 + 0.0470130i
\(112\) 0.586538 2.69627i 0.0554227 0.254774i
\(113\) −9.99612 + 0.714937i −0.940356 + 0.0672556i −0.533094 0.846056i \(-0.678971\pi\)
−0.407262 + 0.913311i \(0.633516\pi\)
\(114\) −8.12334 −0.760820
\(115\) 9.39826 + 5.16457i 0.876392 + 0.481598i
\(116\) 5.68967 0.528273
\(117\) 0.424285 0.0303454i 0.0392251 0.00280544i
\(118\) −1.96500 + 9.03297i −0.180893 + 0.831552i
\(119\) 16.6542 2.39451i 1.52669 0.219504i
\(120\) 1.08941 + 1.95274i 0.0994488 + 0.178260i
\(121\) −1.28467 + 8.93506i −0.116788 + 0.812278i
\(122\) −5.50737 + 10.0860i −0.498614 + 0.913143i
\(123\) 2.73215 0.594343i 0.246350 0.0535901i
\(124\) 6.17295 + 2.81909i 0.554347 + 0.253162i
\(125\) −0.493599 + 11.1694i −0.0441488 + 0.999025i
\(126\) 2.08536 1.80698i 0.185779 0.160978i
\(127\) 1.40397 19.6301i 0.124583 1.74189i −0.423881 0.905718i \(-0.639333\pi\)
0.548464 0.836174i \(-0.315213\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) −0.997118 + 2.18338i −0.0877913 + 0.192236i
\(130\) −0.448241 + 0.838911i −0.0393133 + 0.0735773i
\(131\) −7.37918 + 2.16672i −0.644722 + 0.189307i −0.587717 0.809066i \(-0.699973\pi\)
−0.0570048 + 0.998374i \(0.518155\pi\)
\(132\) 0.841780 + 1.12449i 0.0732675 + 0.0978739i
\(133\) −21.0017 7.83324i −1.82108 0.679228i
\(134\) −1.22979 8.55335i −0.106237 0.738897i
\(135\) −0.298118 + 2.21611i −0.0256579 + 0.190732i
\(136\) −4.60829 3.99311i −0.395158 0.342406i
\(137\) −3.48169 + 3.48169i −0.297461 + 0.297461i −0.840018 0.542558i \(-0.817456\pi\)
0.542558 + 0.840018i \(0.317456\pi\)
\(138\) −4.38556 + 1.94083i −0.373324 + 0.165215i
\(139\) 21.3396i 1.81000i −0.425410 0.905001i \(-0.639870\pi\)
0.425410 0.905001i \(-0.360130\pi\)
\(140\) 0.933501 + 6.09903i 0.0788952 + 0.515462i
\(141\) −10.9387 + 7.02988i −0.921206 + 0.592023i
\(142\) −2.91039 + 3.88783i −0.244235 + 0.326260i
\(143\) −0.208804 + 0.559824i −0.0174610 + 0.0468149i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −11.8795 + 4.55410i −0.986537 + 0.378197i
\(146\) −5.97268 3.83841i −0.494302 0.317669i
\(147\) 0.575210 0.214542i 0.0474425 0.0176951i
\(148\) 1.66798 + 3.05468i 0.137107 + 0.251093i
\(149\) −10.4181 12.0232i −0.853487 0.984977i 0.146504 0.989210i \(-0.453198\pi\)
−0.999991 + 0.00423317i \(0.998653\pi\)
\(150\) −3.83758 3.20515i −0.313337 0.261700i
\(151\) 10.6427 + 3.12498i 0.866091 + 0.254307i 0.684452 0.729058i \(-0.260042\pi\)
0.181639 + 0.983365i \(0.441860\pi\)
\(152\) 2.83882 + 7.61116i 0.230258 + 0.617347i
\(153\) −1.29615 5.95830i −0.104787 0.481700i
\(154\) 1.09197 + 3.71891i 0.0879936 + 0.299679i
\(155\) −15.1450 0.945072i −1.21647 0.0759100i
\(156\) −0.176704 0.386929i −0.0141477 0.0309791i
\(157\) 10.3716 + 7.76412i 0.827747 + 0.619644i 0.926849 0.375433i \(-0.122506\pi\)
−0.0991019 + 0.995077i \(0.531597\pi\)
\(158\) −4.48048 0.974669i −0.356448 0.0775405i
\(159\) 1.89640 2.18856i 0.150394 0.173564i
\(160\) 1.44891 1.70313i 0.114546 0.134644i
\(161\) −13.2098 + 0.788797i −1.04108 + 0.0621659i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 0.909317 + 12.7139i 0.0712232 + 0.995831i 0.899898 + 0.436100i \(0.143641\pi\)
−0.828675 + 0.559730i \(0.810905\pi\)
\(164\) −1.51166 2.35219i −0.118041 0.183675i
\(165\) −2.65761 1.67404i −0.206895 0.130324i
\(166\) 3.55088 1.62163i 0.275602 0.125863i
\(167\) 3.93009 2.94203i 0.304120 0.227661i −0.436308 0.899798i \(-0.643714\pi\)
0.740427 + 0.672136i \(0.234623\pi\)
\(168\) −2.42181 1.32241i −0.186847 0.102026i
\(169\) −6.93051 + 10.7841i −0.533116 + 0.829545i
\(170\) 12.8178 + 4.64868i 0.983081 + 0.356537i
\(171\) −2.28861 + 7.79429i −0.175014 + 0.596044i
\(172\) 2.39418 + 0.171235i 0.182554 + 0.0130565i
\(173\) −20.3001 1.45189i −1.54339 0.110385i −0.726493 0.687174i \(-0.758851\pi\)
−0.816894 + 0.576789i \(0.804306\pi\)
\(174\) 1.60297 5.45920i 0.121521 0.413861i
\(175\) −6.83081 11.9870i −0.516361 0.906131i
\(176\) 0.759415 1.18167i 0.0572431 0.0890719i
\(177\) 8.11346 + 4.43029i 0.609845 + 0.333001i
\(178\) 0.0386656 0.0289447i 0.00289811 0.00216950i
\(179\) −20.0852 + 9.17261i −1.50124 + 0.685593i −0.985269 0.171013i \(-0.945296\pi\)
−0.515971 + 0.856606i \(0.672569\pi\)
\(180\) 2.18056 0.495128i 0.162529 0.0369046i
\(181\) −5.00103 7.78176i −0.371724 0.578414i 0.604117 0.796896i \(-0.293526\pi\)
−0.975841 + 0.218482i \(0.929890\pi\)
\(182\) −0.0837332 1.17074i −0.00620671 0.0867812i
\(183\) 8.12584 + 8.12584i 0.600679 + 0.600679i
\(184\) 3.35106 + 3.43080i 0.247043 + 0.252922i
\(185\) −5.92759 5.04279i −0.435805 0.370753i
\(186\) 4.44402 5.12867i 0.325851 0.376052i
\(187\) 8.36936 + 1.82064i 0.612028 + 0.133139i
\(188\) 10.4093 + 7.79233i 0.759179 + 0.568314i
\(189\) −1.14627 2.50998i −0.0833787 0.182574i
\(190\) −12.0193 13.6191i −0.871968 0.988036i
\(191\) −2.53171 8.62222i −0.183188 0.623882i −0.998964 0.0455131i \(-0.985508\pi\)
0.815776 0.578369i \(-0.196310\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) 5.20476 + 13.9545i 0.374647 + 1.00447i 0.978295 + 0.207216i \(0.0664403\pi\)
−0.603649 + 0.797251i \(0.706287\pi\)
\(194\) 2.69657 + 0.791785i 0.193603 + 0.0568469i
\(195\) 0.678645 + 0.666433i 0.0485988 + 0.0477242i
\(196\) −0.402030 0.463968i −0.0287164 0.0331405i
\(197\) −5.48829 10.0511i −0.391025 0.716108i 0.605810 0.795609i \(-0.292849\pi\)
−0.996835 + 0.0795010i \(0.974667\pi\)
\(198\) 1.31609 0.490877i 0.0935307 0.0348851i
\(199\) −12.2869 7.89633i −0.870997 0.559756i 0.0270606 0.999634i \(-0.491385\pi\)
−0.898057 + 0.439878i \(0.855022\pi\)
\(200\) −1.66197 + 4.71570i −0.117519 + 0.333450i
\(201\) −8.55335 1.22979i −0.603307 0.0867425i
\(202\) −5.50373 + 14.7561i −0.387241 + 1.03823i
\(203\) 9.40848 12.5683i 0.660346 0.882119i
\(204\) −5.12967 + 3.29664i −0.359148 + 0.230811i
\(205\) 5.03892 + 3.70118i 0.351933 + 0.258502i
\(206\) 17.1529i 1.19510i
\(207\) 0.626659 + 4.75471i 0.0435558 + 0.330475i
\(208\) −0.300781 + 0.300781i −0.0208554 + 0.0208554i
\(209\) −8.62348 7.47229i −0.596499 0.516869i
\(210\) 6.11497 + 0.822608i 0.421973 + 0.0567653i
\(211\) −0.237553 1.65221i −0.0163538 0.113743i 0.980009 0.198951i \(-0.0637536\pi\)
−0.996363 + 0.0852082i \(0.972844\pi\)
\(212\) −2.71329 1.01201i −0.186350 0.0695049i
\(213\) 2.91039 + 3.88783i 0.199417 + 0.266390i
\(214\) 1.15226 0.338334i 0.0787668 0.0231280i
\(215\) −5.13587 + 1.55881i −0.350263 + 0.106310i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) 16.4349 8.97413i 1.11567 0.609203i
\(218\) 0.571174 7.98605i 0.0386848 0.540884i
\(219\) −5.36562 + 4.64934i −0.362575 + 0.314173i
\(220\) −0.639757 + 3.07506i −0.0431324 + 0.207321i
\(221\) −2.35935 1.07748i −0.158707 0.0724792i
\(222\) 3.40087 0.739813i 0.228251 0.0496530i
\(223\) −0.527236 + 0.965561i −0.0353064 + 0.0646588i −0.894737 0.446594i \(-0.852637\pi\)
0.859430 + 0.511253i \(0.170819\pi\)
\(224\) −0.392694 + 2.73125i −0.0262380 + 0.182489i
\(225\) −4.15649 + 2.77913i −0.277100 + 0.185275i
\(226\) 9.91965 1.42623i 0.659845 0.0948714i
\(227\) 1.35726 6.23920i 0.0900842 0.414110i −0.909916 0.414793i \(-0.863854\pi\)
1.00000 0.000683157i \(0.000217456\pi\)
\(228\) 8.10264 0.579512i 0.536610 0.0383791i
\(229\) −19.0008 −1.25561 −0.627803 0.778373i \(-0.716045\pi\)
−0.627803 + 0.778373i \(0.716045\pi\)
\(230\) −9.74275 4.48094i −0.642418 0.295465i
\(231\) 3.87592 0.255017
\(232\) −5.67518 + 0.405897i −0.372594 + 0.0266484i
\(233\) 1.44186 6.62813i 0.0944594 0.434223i −0.905492 0.424363i \(-0.860498\pi\)
0.999951 0.00985959i \(-0.00313846\pi\)
\(234\) −0.421039 + 0.0605362i −0.0275242 + 0.00395738i
\(235\) −27.9708 7.93785i −1.82461 0.517808i
\(236\) 1.31559 9.15013i 0.0856377 0.595623i
\(237\) −2.19749 + 4.02440i −0.142742 + 0.261413i
\(238\) −16.4409 + 3.57650i −1.06571 + 0.231830i
\(239\) 26.6353 + 12.1639i 1.72289 + 0.786820i 0.994858 + 0.101282i \(0.0322943\pi\)
0.728037 + 0.685538i \(0.240433\pi\)
\(240\) −1.22594 1.87005i −0.0791339 0.120711i
\(241\) −0.709128 + 0.614463i −0.0456789 + 0.0395810i −0.677401 0.735614i \(-0.736894\pi\)
0.631722 + 0.775195i \(0.282348\pi\)
\(242\) 0.643974 9.00394i 0.0413962 0.578795i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) 4.77381 10.4532i 0.305612 0.669197i
\(245\) 1.21077 + 0.646928i 0.0773530 + 0.0413307i
\(246\) −2.68279 + 0.787738i −0.171048 + 0.0502243i
\(247\) 2.07075 + 2.76620i 0.131759 + 0.176009i
\(248\) −6.35833 2.37153i −0.403754 0.150593i
\(249\) −0.555546 3.86391i −0.0352063 0.244865i
\(250\) −0.304478 11.1762i −0.0192569 0.706845i
\(251\) 16.7160 + 14.4845i 1.05510 + 0.914253i 0.996464 0.0840257i \(-0.0267778\pi\)
0.0586411 + 0.998279i \(0.481323\pi\)
\(252\) −1.95114 + 1.95114i −0.122910 + 0.122910i
\(253\) −6.44086 1.97375i −0.404934 0.124089i
\(254\) 19.6803i 1.23485i
\(255\) 8.07157 10.9889i 0.505461 0.688152i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 0.420247 0.561384i 0.0262143 0.0350182i −0.787243 0.616643i \(-0.788492\pi\)
0.813457 + 0.581625i \(0.197583\pi\)
\(258\) 0.838816 2.24895i 0.0522224 0.140014i
\(259\) 9.50584 + 1.36673i 0.590664 + 0.0849247i
\(260\) 0.387252 0.868750i 0.0240163 0.0538776i
\(261\) −4.78646 3.07607i −0.296274 0.190404i
\(262\) 7.20581 2.68763i 0.445176 0.166042i
\(263\) 1.01353 + 1.85614i 0.0624969 + 0.114454i 0.907060 0.421002i \(-0.138321\pi\)
−0.844563 + 0.535456i \(0.820140\pi\)
\(264\) −0.919855 1.06157i −0.0566131 0.0653351i
\(265\) 6.47512 0.0587885i 0.397763 0.00361135i
\(266\) 21.5070 + 6.31503i 1.31868 + 0.387200i
\(267\) −0.0168789 0.0452540i −0.00103297 0.00276950i
\(268\) 1.83684 + 8.44383i 0.112203 + 0.515789i
\(269\) −1.75446 5.97516i −0.106972 0.364312i 0.888558 0.458765i \(-0.151708\pi\)
−0.995529 + 0.0944531i \(0.969890\pi\)
\(270\) 0.139264 2.23173i 0.00847532 0.135819i
\(271\) 13.5030 + 29.5675i 0.820251 + 1.79610i 0.554822 + 0.831969i \(0.312786\pi\)
0.265429 + 0.964130i \(0.414486\pi\)
\(272\) 4.88142 + 3.65418i 0.295979 + 0.221567i
\(273\) −1.14691 0.249495i −0.0694141 0.0151001i
\(274\) 3.22443 3.72120i 0.194795 0.224806i
\(275\) −1.12558 6.93250i −0.0678747 0.418046i
\(276\) 4.23593 2.24875i 0.254973 0.135359i
\(277\) −5.91674 5.91674i −0.355503 0.355503i 0.506649 0.862152i \(-0.330884\pi\)
−0.862152 + 0.506649i \(0.830884\pi\)
\(278\) 1.52235 + 21.2852i 0.0913045 + 1.27660i
\(279\) −3.66890 5.70892i −0.219651 0.341784i
\(280\) −1.36622 6.01689i −0.0816474 0.359578i
\(281\) 17.0485 7.78579i 1.01703 0.464461i 0.164075 0.986448i \(-0.447536\pi\)
0.852954 + 0.521987i \(0.174809\pi\)
\(282\) 10.4093 7.79233i 0.619867 0.464027i
\(283\) 2.59168 + 1.41517i 0.154060 + 0.0841229i 0.554429 0.832231i \(-0.312937\pi\)
−0.400370 + 0.916354i \(0.631118\pi\)
\(284\) 2.62562 4.08555i 0.155802 0.242433i
\(285\) −16.4537 + 7.69543i −0.974632 + 0.455838i
\(286\) 0.168334 0.573294i 0.00995381 0.0338996i
\(287\) −7.69557 0.550398i −0.454255 0.0324890i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) −5.68573 + 19.3638i −0.334455 + 1.13905i
\(290\) 11.5243 5.38996i 0.676732 0.316510i
\(291\) 1.51942 2.36427i 0.0890703 0.138596i
\(292\) 6.23129 + 3.40254i 0.364659 + 0.199119i
\(293\) 15.4798 11.5881i 0.904341 0.676981i −0.0423574 0.999103i \(-0.513487\pi\)
0.946698 + 0.322121i \(0.104396\pi\)
\(294\) −0.558439 + 0.255030i −0.0325688 + 0.0148737i
\(295\) 4.57707 + 20.1576i 0.266487 + 1.17362i
\(296\) −1.88165 2.92790i −0.109369 0.170181i
\(297\) −0.100207 1.40108i −0.00581460 0.0812988i
\(298\) 11.2493 + 11.2493i 0.651656 + 0.651656i
\(299\) 1.77884 + 0.998649i 0.102873 + 0.0577534i
\(300\) 4.05645 + 2.92322i 0.234199 + 0.168772i
\(301\) 4.33728 5.00549i 0.249997 0.288511i
\(302\) −10.8385 2.35778i −0.623687 0.135675i
\(303\) 12.6078 + 9.43805i 0.724297 + 0.542202i
\(304\) −3.37456 7.38925i −0.193544 0.423802i
\(305\) −1.60037 + 25.6463i −0.0916370 + 1.46850i
\(306\) 1.71791 + 5.85065i 0.0982061 + 0.334459i
\(307\) 0.887368 + 4.07917i 0.0506448 + 0.232810i 0.995511 0.0946464i \(-0.0301721\pi\)
−0.944866 + 0.327457i \(0.893808\pi\)
\(308\) −1.35449 3.63154i −0.0771795 0.206926i
\(309\) 16.4581 + 4.83253i 0.936268 + 0.274913i
\(310\) 15.1738 0.137765i 0.861813 0.00782453i
\(311\) 18.3292 + 21.1530i 1.03935 + 1.19948i 0.979536 + 0.201267i \(0.0645058\pi\)
0.0598156 + 0.998209i \(0.480949\pi\)
\(312\) 0.203857 + 0.373337i 0.0115412 + 0.0211360i
\(313\) 10.4637 3.90278i 0.591446 0.220598i −0.0358782 0.999356i \(-0.511423\pi\)
0.627324 + 0.778758i \(0.284150\pi\)
\(314\) −10.8991 7.00443i −0.615072 0.395283i
\(315\) 2.51207 5.63552i 0.141539 0.317526i
\(316\) 4.53860 + 0.652552i 0.255316 + 0.0367089i
\(317\) 4.67732 12.5404i 0.262704 0.704338i −0.736894 0.676008i \(-0.763708\pi\)
0.999599 0.0283297i \(-0.00901884\pi\)
\(318\) −1.73544 + 2.31827i −0.0973184 + 0.130002i
\(319\) 6.72333 4.32082i 0.376434 0.241920i
\(320\) −1.32372 + 1.80216i −0.0739981 + 0.100744i
\(321\) 1.20090i 0.0670279i
\(322\) 13.1198 1.72916i 0.731140 0.0963624i
\(323\) 35.0253 35.0253i 1.94886 1.94886i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) −0.113184 + 2.12383i −0.00627831 + 0.117809i
\(326\) −1.81400 12.6167i −0.100468 0.698772i
\(327\) −7.50164 2.79797i −0.414842 0.154728i
\(328\) 1.67561 + 2.23835i 0.0925200 + 0.123592i
\(329\) 34.4259 10.1084i 1.89796 0.557292i
\(330\) 2.77026 + 1.48019i 0.152498 + 0.0814817i
\(331\) −6.38596 + 13.9833i −0.351004 + 0.768591i 0.648966 + 0.760818i \(0.275202\pi\)
−0.999970 + 0.00777386i \(0.997525\pi\)
\(332\) −3.42614 + 1.87082i −0.188034 + 0.102674i
\(333\) 0.248289 3.47154i 0.0136062 0.190239i
\(334\) −3.71020 + 3.21491i −0.203013 + 0.175912i
\(335\) −10.5937 16.1597i −0.578796 0.882896i
\(336\) 2.50998 + 1.14627i 0.136930 + 0.0625341i
\(337\) 13.0993 2.84957i 0.713563 0.155226i 0.158892 0.987296i \(-0.449208\pi\)
0.554671 + 0.832070i \(0.312844\pi\)
\(338\) 6.14352 11.2510i 0.334164 0.611975i
\(339\) 1.42623 9.91965i 0.0774622 0.538761i
\(340\) −13.1168 3.72242i −0.711357 0.201877i
\(341\) 9.43526 1.35659i 0.510948 0.0734633i
\(342\) 1.72674 7.93769i 0.0933714 0.429221i
\(343\) 17.5764 1.25709i 0.949038 0.0678765i
\(344\) −2.40029 −0.129415
\(345\) −7.04428 + 8.08567i −0.379251 + 0.435318i
\(346\) 20.3519 1.09413
\(347\) −16.8424 + 1.20459i −0.904147 + 0.0646659i −0.515665 0.856790i \(-0.672455\pi\)
−0.388482 + 0.921456i \(0.627001\pi\)
\(348\) −1.20943 + 5.55965i −0.0648321 + 0.298028i
\(349\) −12.2393 + 1.75974i −0.655154 + 0.0941970i −0.461872 0.886946i \(-0.652822\pi\)
−0.193282 + 0.981143i \(0.561913\pi\)
\(350\) 7.66855 + 11.4691i 0.409901 + 0.613052i
\(351\) −0.0605362 + 0.421039i −0.00323119 + 0.0224734i
\(352\) −0.673180 + 1.23284i −0.0358806 + 0.0657105i
\(353\) −1.79599 + 0.390694i −0.0955911 + 0.0207946i −0.260106 0.965580i \(-0.583758\pi\)
0.164515 + 0.986375i \(0.447394\pi\)
\(354\) −8.40884 3.84019i −0.446925 0.204104i
\(355\) −2.21191 + 10.6318i −0.117396 + 0.564278i
\(356\) −0.0365022 + 0.0316293i −0.00193461 + 0.00167635i
\(357\) −1.20031 + 16.7826i −0.0635273 + 0.888228i
\(358\) 19.3797 10.5821i 1.02425 0.559281i
\(359\) −12.4367 + 27.2326i −0.656386 + 1.43728i 0.229467 + 0.973317i \(0.426302\pi\)
−0.885852 + 0.463968i \(0.846425\pi\)
\(360\) −2.13968 + 0.649426i −0.112771 + 0.0342277i
\(361\) −45.0853 + 13.2382i −2.37291 + 0.696749i
\(362\) 5.54344 + 7.40516i 0.291357 + 0.389207i
\(363\) −8.45779 3.15459i −0.443919 0.165573i
\(364\) 0.167040 + 1.16179i 0.00875525 + 0.0608941i
\(365\) −15.7338 2.11656i −0.823543 0.110786i
\(366\) −8.68482 7.52544i −0.453963 0.393361i
\(367\) 6.98787 6.98787i 0.364764 0.364764i −0.500799 0.865563i \(-0.666961\pi\)
0.865563 + 0.500799i \(0.166961\pi\)
\(368\) −3.58727 3.18300i −0.186999 0.165925i
\(369\) 2.79605i 0.145556i
\(370\) 6.27223 + 4.60708i 0.326078 + 0.239510i
\(371\) −6.72220 + 4.32010i −0.348999 + 0.224288i
\(372\) −4.06682 + 5.43264i −0.210855 + 0.281669i
\(373\) −4.23068 + 11.3429i −0.219056 + 0.587313i −0.999270 0.0382002i \(-0.987838\pi\)
0.780214 + 0.625513i \(0.215110\pi\)
\(374\) −8.47792 1.21894i −0.438383 0.0630299i
\(375\) −10.8093 2.85655i −0.558188 0.147512i
\(376\) −10.9387 7.02988i −0.564121 0.362539i
\(377\) −2.26761 + 0.845776i −0.116788 + 0.0435597i
\(378\) 1.32241 + 2.42181i 0.0680173 + 0.124564i
\(379\) 0.0468847 + 0.0541079i 0.00240831 + 0.00277933i 0.756952 0.653470i \(-0.226687\pi\)
−0.754544 + 0.656249i \(0.772142\pi\)
\(380\) 12.9602 + 12.7270i 0.664844 + 0.652881i
\(381\) 18.8831 + 5.54457i 0.967409 + 0.284057i
\(382\) 3.14036 + 8.41964i 0.160675 + 0.430786i
\(383\) −6.99109 32.1375i −0.357228 1.64215i −0.708380 0.705832i \(-0.750573\pi\)
0.351152 0.936319i \(-0.385790\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) 5.73479 + 6.49814i 0.292272 + 0.331176i
\(386\) −6.18700 13.5476i −0.314910 0.689557i
\(387\) −1.92153 1.43844i −0.0976770 0.0731201i
\(388\) −2.74619 0.597397i −0.139417 0.0303282i
\(389\) 21.2818 24.5605i 1.07903 1.24527i 0.111164 0.993802i \(-0.464542\pi\)
0.967866 0.251465i \(-0.0809124\pi\)
\(390\) −0.724459 0.616321i −0.0366844 0.0312086i
\(391\) 10.5409 27.2774i 0.533077 1.37948i
\(392\) 0.434105 + 0.434105i 0.0219256 + 0.0219256i
\(393\) −0.548649 7.67111i −0.0276757 0.386956i
\(394\) 6.19134 + 9.63392i 0.311915 + 0.485350i
\(395\) −9.99847 + 2.27029i −0.503077 + 0.114231i
\(396\) −1.27772 + 0.583516i −0.0642079 + 0.0293228i
\(397\) −20.2616 + 15.1677i −1.01690 + 0.761244i −0.971334 0.237717i \(-0.923601\pi\)
−0.0455684 + 0.998961i \(0.514510\pi\)
\(398\) 12.8189 + 6.99967i 0.642555 + 0.350862i
\(399\) 12.1185 18.8567i 0.606682 0.944015i
\(400\) 1.32132 4.82225i 0.0660662 0.241113i
\(401\) 2.09126 7.12219i 0.104433 0.355665i −0.890653 0.454684i \(-0.849752\pi\)
0.995086 + 0.0990188i \(0.0315704\pi\)
\(402\) 8.61929 + 0.616464i 0.429891 + 0.0307464i
\(403\) −2.87928 0.205930i −0.143427 0.0102581i
\(404\) 4.43702 15.1111i 0.220750 0.751805i
\(405\) −2.10209 0.762373i −0.104454 0.0378826i
\(406\) −8.48790 + 13.2074i −0.421247 + 0.655474i
\(407\) 4.29077 + 2.34294i 0.212686 + 0.116135i
\(408\) 4.88142 3.65418i 0.241666 0.180909i
\(409\) −3.86292 + 1.76414i −0.191009 + 0.0872309i −0.508624 0.860989i \(-0.669845\pi\)
0.317614 + 0.948220i \(0.397118\pi\)
\(410\) −5.29012 3.33228i −0.261260 0.164570i
\(411\) −2.66203 4.14220i −0.131308 0.204320i
\(412\) −1.22367 17.1092i −0.0602861 0.842910i
\(413\) −18.0368 18.0368i −0.887533 0.887533i
\(414\) −0.964260 4.69789i −0.0473908 0.230889i
\(415\) 5.65603 6.64842i 0.277643 0.326358i
\(416\) 0.278557 0.321472i 0.0136574 0.0157615i
\(417\) 20.8519 + 4.53606i 1.02112 + 0.222132i
\(418\) 9.13458 + 6.83806i 0.446787 + 0.334460i
\(419\) −4.65611 10.1954i −0.227466 0.498080i 0.761144 0.648583i \(-0.224638\pi\)
−0.988610 + 0.150503i \(0.951911\pi\)
\(420\) −6.15808 0.384275i −0.300483 0.0187507i
\(421\) −3.47897 11.8483i −0.169555 0.577450i −0.999799 0.0200507i \(-0.993617\pi\)
0.830244 0.557400i \(-0.188201\pi\)
\(422\) 0.354815 + 1.63106i 0.0172721 + 0.0793986i
\(423\) −4.54404 12.1830i −0.220939 0.592360i
\(424\) 2.77858 + 0.815864i 0.134940 + 0.0396218i
\(425\) 30.3660 2.72681i 1.47297 0.132269i
\(426\) −3.18033 3.67030i −0.154088 0.177827i
\(427\) −15.1967 27.8306i −0.735418 1.34682i
\(428\) −1.12519 + 0.419673i −0.0543880 + 0.0202857i
\(429\) −0.502646 0.323031i −0.0242680 0.0155961i
\(430\) 5.01158 1.92123i 0.241680 0.0926499i
\(431\) −1.08505 0.156007i −0.0522651 0.00751459i 0.116133 0.993234i \(-0.462950\pi\)
−0.168398 + 0.985719i \(0.553859\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) −11.4843 + 15.3412i −0.551898 + 0.737250i −0.986570 0.163339i \(-0.947773\pi\)
0.434672 + 0.900589i \(0.356864\pi\)
\(434\) −15.7528 + 10.1237i −0.756159 + 0.485954i
\(435\) −1.92485 12.5760i −0.0922897 0.602975i
\(436\) 8.00645i 0.383439i
\(437\) −29.7405 + 25.1642i −1.42268 + 1.20377i
\(438\) 5.02027 5.02027i 0.239878 0.239878i
\(439\) 9.52773 + 8.25583i 0.454734 + 0.394029i 0.851889 0.523722i \(-0.175457\pi\)
−0.397155 + 0.917751i \(0.630003\pi\)
\(440\) 0.418754 3.11287i 0.0199633 0.148400i
\(441\) 0.0873695 + 0.607668i 0.00416045 + 0.0289366i
\(442\) 2.43021 + 0.906421i 0.115593 + 0.0431141i
\(443\) 5.03645 + 6.72791i 0.239289 + 0.319653i 0.904069 0.427386i \(-0.140566\pi\)
−0.664780 + 0.747039i \(0.731475\pi\)
\(444\) −3.33942 + 0.980543i −0.158482 + 0.0465345i
\(445\) 0.0508964 0.0952558i 0.00241272 0.00451556i
\(446\) 0.457011 1.00071i 0.0216401 0.0473852i
\(447\) 13.9629 7.62434i 0.660425 0.360619i
\(448\) 0.196849 2.75230i 0.00930022 0.130034i
\(449\) −26.3276 + 22.8130i −1.24248 + 1.07661i −0.248319 + 0.968678i \(0.579878\pi\)
−0.994158 + 0.107934i \(0.965576\pi\)
\(450\) 3.94764 3.06857i 0.186094 0.144654i
\(451\) −3.57257 1.63154i −0.168226 0.0768261i
\(452\) −9.79263 + 2.13026i −0.460607 + 0.100199i
\(453\) −5.31583 + 9.73522i −0.249760 + 0.457401i
\(454\) −0.908698 + 6.32013i −0.0426473 + 0.296618i
\(455\) −1.27867 2.29200i −0.0599451 0.107450i
\(456\) −8.04065 + 1.15607i −0.376538 + 0.0541380i
\(457\) −3.74870 + 17.2325i −0.175357 + 0.806102i 0.802471 + 0.596691i \(0.203518\pi\)
−0.977828 + 0.209411i \(0.932845\pi\)
\(458\) 18.9523 1.35550i 0.885585 0.0633383i
\(459\) 6.09765 0.284614
\(460\) 10.0376 + 3.77449i 0.468005 + 0.175986i
\(461\) 6.58334 0.306617 0.153308 0.988178i \(-0.451007\pi\)
0.153308 + 0.988178i \(0.451007\pi\)
\(462\) −3.86604 + 0.276505i −0.179864 + 0.0128642i
\(463\) −4.87369 + 22.4040i −0.226499 + 1.04120i 0.713667 + 0.700485i \(0.247033\pi\)
−0.940166 + 0.340716i \(0.889331\pi\)
\(464\) 5.63176 0.809725i 0.261448 0.0375905i
\(465\) 4.14276 14.5980i 0.192116 0.676964i
\(466\) −0.965342 + 6.71410i −0.0447186 + 0.311025i
\(467\) −0.970033 + 1.77648i −0.0448878 + 0.0822058i −0.899160 0.437620i \(-0.855821\pi\)
0.854272 + 0.519826i \(0.174003\pi\)
\(468\) 0.415647 0.0904186i 0.0192133 0.00417960i
\(469\) 21.6895 + 9.90526i 1.00153 + 0.457382i
\(470\) 28.4658 + 5.92221i 1.31303 + 0.273171i
\(471\) −9.79133 + 8.48424i −0.451161 + 0.390933i
\(472\) −0.659476 + 9.22067i −0.0303548 + 0.424416i
\(473\) 2.95917 1.61583i 0.136063 0.0742960i
\(474\) 1.90479 4.17091i 0.0874899 0.191576i
\(475\) −37.2465 16.1992i −1.70899 0.743269i
\(476\) 16.1439 4.74027i 0.739954 0.217270i
\(477\) 1.73544 + 2.31827i 0.0794602 + 0.106146i
\(478\) −27.4352 10.2328i −1.25486 0.468038i
\(479\) 0.648613 + 4.51120i 0.0296359 + 0.206122i 0.999259 0.0384803i \(-0.0122517\pi\)
−0.969623 + 0.244602i \(0.921343\pi\)
\(480\) 1.35622 + 1.77783i 0.0619028 + 0.0811462i
\(481\) −1.11885 0.969491i −0.0510153 0.0442050i
\(482\) 0.663486 0.663486i 0.0302209 0.0302209i
\(483\) 2.03717 13.0756i 0.0926943 0.594958i
\(484\) 9.02694i 0.410315i
\(485\) 6.21194 0.950782i 0.282070 0.0431728i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) 14.7176 19.6605i 0.666920 0.890901i −0.331702 0.943384i \(-0.607623\pi\)
0.998622 + 0.0524833i \(0.0167136\pi\)
\(488\) −4.01593 + 10.7671i −0.181792 + 0.487404i
\(489\) −12.6167 1.81400i −0.570545 0.0820320i
\(490\) −1.25383 0.558905i −0.0566424 0.0252488i
\(491\) 8.64445 + 5.55545i 0.390118 + 0.250714i 0.720966 0.692970i \(-0.243698\pi\)
−0.330848 + 0.943684i \(0.607335\pi\)
\(492\) 2.61976 0.977119i 0.118108 0.0440519i
\(493\) 16.6269 + 30.4499i 0.748837 + 1.37139i
\(494\) −2.26281 2.61143i −0.101809 0.117494i
\(495\) 2.20070 2.24103i 0.0989142 0.100727i
\(496\) 6.51131 + 1.91189i 0.292367 + 0.0858466i
\(497\) −4.68307 12.5558i −0.210064 0.563204i
\(498\) 0.829779 + 3.81443i 0.0371833 + 0.170929i
\(499\) 10.4187 + 35.4829i 0.466406 + 1.58843i 0.771577 + 0.636136i \(0.219468\pi\)
−0.305171 + 0.952298i \(0.598713\pi\)
\(500\) 1.10100 + 11.1260i 0.0492383 + 0.497570i
\(501\) 2.03940 + 4.46565i 0.0911135 + 0.199511i
\(502\) −17.7067 13.2551i −0.790290 0.591604i
\(503\) −18.4263 4.00839i −0.821587 0.178725i −0.217925 0.975965i \(-0.569929\pi\)
−0.603662 + 0.797240i \(0.706292\pi\)
\(504\) 1.80698 2.08536i 0.0804892 0.0928895i
\(505\) 2.83107 + 35.1019i 0.125981 + 1.56202i
\(506\) 6.56526 + 1.50924i 0.291861 + 0.0670939i
\(507\) −9.06445 9.06445i −0.402566 0.402566i
\(508\) −1.40397 19.6301i −0.0622913 0.870946i
\(509\) 18.3847 + 28.6071i 0.814887 + 1.26799i 0.960398 + 0.278632i \(0.0898810\pi\)
−0.145511 + 0.989357i \(0.546483\pi\)
\(510\) −7.26706 + 11.5367i −0.321791 + 0.510855i
\(511\) 17.8202 8.13820i 0.788318 0.360013i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) −7.12968 3.89310i −0.314783 0.171885i
\(514\) −0.379127 + 0.589933i −0.0167226 + 0.0260208i
\(515\) 16.2494 + 34.7429i 0.716033 + 1.53096i
\(516\) −0.676241 + 2.30306i −0.0297698 + 0.101387i
\(517\) 18.2180 + 1.30298i 0.801229 + 0.0573050i
\(518\) −9.57912 0.685112i −0.420882 0.0301021i
\(519\) 5.73380 19.5275i 0.251686 0.857164i
\(520\) −0.324289 + 0.894163i −0.0142210 + 0.0392117i
\(521\) 2.70606 4.21071i 0.118555 0.184474i −0.776904 0.629619i \(-0.783211\pi\)
0.895459 + 0.445144i \(0.146848\pi\)
\(522\) 4.99371 + 2.72677i 0.218569 + 0.119347i
\(523\) −31.9286 + 23.9014i −1.39614 + 1.04514i −0.404717 + 0.914442i \(0.632630\pi\)
−0.991423 + 0.130695i \(0.958279\pi\)
\(524\) −6.99571 + 3.19484i −0.305609 + 0.139567i
\(525\) 13.1650 4.12668i 0.574570 0.180103i
\(526\) −1.14336 1.77911i −0.0498529 0.0775727i
\(527\) 2.95201 + 41.2744i 0.128591 + 1.79794i
\(528\) 0.993243 + 0.993243i 0.0432253 + 0.0432253i
\(529\) −10.0438 + 20.6911i −0.436688 + 0.899613i
\(530\) −6.45442 + 0.520568i −0.280362 + 0.0226120i
\(531\) −6.05368 + 6.98632i −0.262707 + 0.303180i
\(532\) −21.9027 4.76465i −0.949604 0.206574i
\(533\) 0.952124 + 0.712751i 0.0412411 + 0.0308727i
\(534\) 0.0200643 + 0.0439346i 0.000868265 + 0.00190124i
\(535\) 2.01337 1.77685i 0.0870455 0.0768200i
\(536\) −2.43454 8.29128i −0.105156 0.358129i
\(537\) −4.69357 21.5760i −0.202542 0.931072i
\(538\) 2.17626 + 5.83477i 0.0938251 + 0.251555i
\(539\) −0.827412 0.242950i −0.0356392 0.0104646i
\(540\) 0.0203007 + 2.23598i 0.000873605 + 0.0962211i
\(541\) 7.96628 + 9.19358i 0.342497 + 0.395263i 0.900700 0.434442i \(-0.143054\pi\)
−0.558203 + 0.829705i \(0.688509\pi\)
\(542\) −15.5780 28.5289i −0.669131 1.22542i
\(543\) 8.66697 3.23261i 0.371935 0.138725i
\(544\) −5.12967 3.29664i −0.219933 0.141342i
\(545\) −6.40848 16.7167i −0.274509 0.716064i
\(546\) 1.16179 + 0.167040i 0.0497199 + 0.00714864i
\(547\) 0.627785 1.68316i 0.0268421 0.0719665i −0.922837 0.385190i \(-0.874136\pi\)
0.949680 + 0.313223i \(0.101409\pi\)
\(548\) −2.95075 + 3.94174i −0.126050 + 0.168383i
\(549\) −9.66741 + 6.21286i −0.412595 + 0.265159i
\(550\) 1.61727 + 6.83454i 0.0689605 + 0.291426i
\(551\) 46.2191i 1.96900i
\(552\) −4.06472 + 2.54521i −0.173006 + 0.108331i
\(553\) 8.94652 8.94652i 0.380445 0.380445i
\(554\) 6.32376 + 5.47957i 0.268671 + 0.232805i
\(555\) 6.18755 4.72020i 0.262647 0.200361i
\(556\) −3.03694 21.1224i −0.128795 0.895789i
\(557\) −35.9555 13.4107i −1.52348 0.568229i −0.558261 0.829665i \(-0.688531\pi\)
−0.965221 + 0.261436i \(0.915804\pi\)
\(558\) 4.06682 + 5.43264i 0.172162 + 0.229982i
\(559\) −0.979651 + 0.287651i −0.0414348 + 0.0121664i
\(560\) 1.79198 + 5.90410i 0.0757250 + 0.249494i
\(561\) −3.55807 + 7.79109i −0.150222 + 0.328940i
\(562\) −16.4496 + 8.98218i −0.693886 + 0.378890i
\(563\) −0.388006 + 5.42504i −0.0163525 + 0.228638i 0.982703 + 0.185188i \(0.0592894\pi\)
−0.999056 + 0.0434499i \(0.986165\pi\)
\(564\) −9.82692 + 8.51507i −0.413788 + 0.358549i
\(565\) 18.7410 12.2859i 0.788438 0.516873i
\(566\) −2.68604 1.22667i −0.112903 0.0515609i
\(567\) 2.69627 0.586538i 0.113233 0.0246323i
\(568\) −2.32747 + 4.26245i −0.0976587 + 0.178849i
\(569\) −0.175779 + 1.22257i −0.00736904 + 0.0512528i −0.993174 0.116641i \(-0.962787\pi\)
0.985805 + 0.167894i \(0.0536965\pi\)
\(570\) 15.8628 8.84962i 0.664418 0.370670i
\(571\) 18.9867 2.72988i 0.794570 0.114242i 0.266937 0.963714i \(-0.413989\pi\)
0.527633 + 0.849472i \(0.323079\pi\)
\(572\) −0.127007 + 0.583842i −0.00531043 + 0.0244117i
\(573\) 8.96333 0.641070i 0.374448 0.0267811i
\(574\) 7.71523 0.322027
\(575\) −23.9787 + 0.153473i −0.999980 + 0.00640025i
\(576\) −1.00000 −0.0416667
\(577\) 21.3344 1.52587i 0.888162 0.0635226i 0.380202 0.924903i \(-0.375854\pi\)
0.507960 + 0.861381i \(0.330400\pi\)
\(578\) 4.28984 19.7201i 0.178434 0.820247i
\(579\) −14.7419 + 2.11957i −0.612654 + 0.0880864i
\(580\) −11.1105 + 6.19837i −0.461336 + 0.257373i
\(581\) −1.53294 + 10.6618i −0.0635969 + 0.442326i
\(582\) −1.34689 + 2.46664i −0.0558303 + 0.102246i
\(583\) −3.97476 + 0.864656i −0.164618 + 0.0358104i
\(584\) −6.45815 2.94934i −0.267240 0.122044i
\(585\) −0.795459 + 0.521475i −0.0328882 + 0.0215603i
\(586\) −14.6137 + 12.6628i −0.603686 + 0.523097i
\(587\) 0.414204 5.79133i 0.0170960 0.239034i −0.981718 0.190342i \(-0.939040\pi\)
0.998814 0.0486918i \(-0.0155052\pi\)
\(588\) 0.538822 0.294219i 0.0222207 0.0121334i
\(589\) 22.9004 50.1449i 0.943596 2.06619i
\(590\) −6.00344 19.7797i −0.247158 0.814318i
\(591\) 10.9880 3.22636i 0.451985 0.132715i
\(592\) 2.08573 + 2.78621i 0.0857229 + 0.114512i
\(593\) −15.5862 5.81334i −0.640047 0.238725i 0.00842413 0.999965i \(-0.497318\pi\)
−0.648471 + 0.761239i \(0.724591\pi\)
\(594\) 0.199904 + 1.39036i 0.00820214 + 0.0570471i
\(595\) −29.9127 + 22.8190i −1.22630 + 0.935489i
\(596\) −12.0232 10.4181i −0.492488 0.426744i
\(597\) 10.3276 10.3276i 0.422682 0.422682i
\(598\) −1.84555 0.869203i −0.0754703 0.0355444i
\(599\) 14.2196i 0.580996i 0.956876 + 0.290498i \(0.0938210\pi\)
−0.956876 + 0.290498i \(0.906179\pi\)
\(600\) −4.25466 2.62639i −0.173696 0.107222i
\(601\) −14.9018 + 9.57678i −0.607856 + 0.390645i −0.808052 0.589111i \(-0.799478\pi\)
0.200197 + 0.979756i \(0.435842\pi\)
\(602\) −3.96914 + 5.30215i −0.161770 + 0.216100i
\(603\) 3.01983 8.09647i 0.122977 0.329714i
\(604\) 10.9791 + 1.57856i 0.446733 + 0.0642306i
\(605\) −7.22529 18.8474i −0.293750 0.766254i
\(606\) −13.2489 8.51457i −0.538201 0.345881i
\(607\) 2.24214 0.836274i 0.0910055 0.0339433i −0.303549 0.952816i \(-0.598172\pi\)
0.394555 + 0.918873i \(0.370899\pi\)
\(608\) 3.89310 + 7.12968i 0.157886 + 0.289147i
\(609\) 10.2811 + 11.8650i 0.416612 + 0.480796i
\(610\) −0.233289 25.6951i −0.00944561 1.04036i
\(611\) −5.30697 1.55827i −0.214697 0.0630407i
\(612\) −2.13091 5.71319i −0.0861369 0.230942i
\(613\) −0.373970 1.71911i −0.0151045 0.0694343i 0.968978 0.247148i \(-0.0794935\pi\)
−0.984082 + 0.177714i \(0.943130\pi\)
\(614\) −1.17611 4.00547i −0.0474640 0.161648i
\(615\) −4.68770 + 4.13702i −0.189026 + 0.166821i
\(616\) 1.61011 + 3.52566i 0.0648733 + 0.142053i
\(617\) 3.96048 + 2.96478i 0.159443 + 0.119357i 0.676020 0.736883i \(-0.263703\pi\)
−0.516577 + 0.856241i \(0.672794\pi\)
\(618\) −16.7609 3.64611i −0.674223 0.146668i
\(619\) −3.47128 + 4.00607i −0.139523 + 0.161018i −0.821210 0.570626i \(-0.806701\pi\)
0.681688 + 0.731643i \(0.261246\pi\)
\(620\) −15.1253 + 1.21990i −0.607447 + 0.0489923i
\(621\) −4.77926 0.398349i −0.191785 0.0159852i
\(622\) −19.7915 19.7915i −0.793567 0.793567i
\(623\) 0.00950765 + 0.132934i 0.000380916 + 0.00532590i
\(624\) −0.229972 0.357843i −0.00920623 0.0143252i
\(625\) −11.2042 22.3487i −0.448168 0.893950i
\(626\) −10.1587 + 4.63931i −0.406022 + 0.185424i
\(627\) 9.13458 6.83806i 0.364800 0.273086i
\(628\) 11.3710 + 6.20905i 0.453753 + 0.247768i
\(629\) −11.4736 + 17.8533i −0.457483 + 0.711858i
\(630\) −2.10364 + 5.80037i −0.0838110 + 0.231092i
\(631\) −3.88451 + 13.2294i −0.154640 + 0.526655i −0.999971 0.00758712i \(-0.997585\pi\)
0.845331 + 0.534243i \(0.179403\pi\)
\(632\) −4.57359 0.327109i −0.181928 0.0130117i
\(633\) 1.66495 + 0.119080i 0.0661759 + 0.00473299i
\(634\) −3.77078 + 12.8421i −0.149757 + 0.510025i
\(635\) 18.6436 + 39.8620i 0.739848 + 1.58188i
\(636\) 1.56563 2.43617i 0.0620813 0.0966004i
\(637\) 0.229198 + 0.125152i 0.00908115 + 0.00495868i
\(638\) −6.39796 + 4.78945i −0.253298 + 0.189616i
\(639\) −4.41763 + 2.01746i −0.174759 + 0.0798097i
\(640\) 1.19178 1.89200i 0.0471093 0.0747878i
\(641\) −15.2158 23.6763i −0.600988 0.935156i −0.999835 0.0181386i \(-0.994226\pi\)
0.398847 0.917017i \(-0.369410\pi\)
\(642\) 0.0856715 + 1.19784i 0.00338118 + 0.0472751i
\(643\) −23.3062 23.3062i −0.919106 0.919106i 0.0778584 0.996964i \(-0.475192\pi\)
−0.996964 + 0.0778584i \(0.975192\pi\)
\(644\) −12.9631 + 2.66071i −0.510816 + 0.104847i
\(645\) −0.431481 5.34985i −0.0169895 0.210650i
\(646\) −32.4374 + 37.4347i −1.27623 + 1.47285i
\(647\) −34.8749 7.58657i −1.37107 0.298259i −0.534063 0.845445i \(-0.679336\pi\)
−0.837011 + 0.547186i \(0.815699\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) −5.39415 11.8115i −0.211739 0.463644i
\(650\) −0.0386166 2.12649i −0.00151467 0.0834079i
\(651\) 5.27555 + 17.9669i 0.206765 + 0.704178i
\(652\) 2.70944 + 12.4551i 0.106110 + 0.487779i
\(653\) 13.9683 + 37.4503i 0.546620 + 1.46555i 0.857193 + 0.514996i \(0.172206\pi\)
−0.310573 + 0.950550i \(0.600521\pi\)
\(654\) 7.68213 + 2.25568i 0.300395 + 0.0882040i
\(655\) 12.0492 12.2700i 0.470800 0.479428i
\(656\) −1.83102 2.11311i −0.0714894 0.0825032i
\(657\) −3.40254 6.23129i −0.132746 0.243106i
\(658\) −33.6171 + 12.5385i −1.31053 + 0.488802i
\(659\) 18.8922 + 12.1413i 0.735936 + 0.472957i 0.854147 0.520031i \(-0.174080\pi\)
−0.118212 + 0.992988i \(0.537716\pi\)
\(660\) −2.86880 1.27879i −0.111668 0.0497768i
\(661\) −27.4770 3.95059i −1.06873 0.153660i −0.414571 0.910017i \(-0.636068\pi\)
−0.654160 + 0.756357i \(0.726978\pi\)
\(662\) 5.37213 14.4032i 0.208794 0.559798i
\(663\) 1.55437 2.07640i 0.0603669 0.0806407i
\(664\) 3.28395 2.11047i 0.127442 0.0819020i
\(665\) 49.5445 7.58314i 1.92125 0.294062i
\(666\) 3.48040i 0.134863i
\(667\) −11.0427 24.9524i −0.427575 0.966162i
\(668\) 3.47140 3.47140i 0.134312 0.134312i
\(669\) −0.831423 0.720432i −0.0321447 0.0278535i
\(670\) 11.7195 + 15.3627i 0.452765 + 0.593514i
\(671\) −2.29723 15.9776i −0.0886834 0.616807i
\(672\) −2.58536 0.964288i −0.0997323 0.0371982i
\(673\) −24.9334 33.3072i −0.961114 1.28390i −0.958854 0.283900i \(-0.908372\pi\)
−0.00225987 0.999997i \(-0.500719\pi\)
\(674\) −12.8626 + 3.77680i −0.495449 + 0.145477i
\(675\) −1.83209 4.65225i −0.0705173 0.179065i
\(676\) −5.32523 + 11.6606i −0.204817 + 0.448486i
\(677\) 10.6320 5.80549i 0.408620 0.223123i −0.261773 0.965129i \(-0.584307\pi\)
0.670393 + 0.742006i \(0.266125\pi\)
\(678\) −0.714937 + 9.99612i −0.0274570 + 0.383899i
\(679\) −5.86074 + 5.07836i −0.224914 + 0.194890i
\(680\) 13.3489 + 2.77720i 0.511908 + 0.106501i
\(681\) 5.80811 + 2.65248i 0.222567 + 0.101643i
\(682\) −9.31445 + 2.02623i −0.356669 + 0.0775885i
\(683\) −22.1053 + 40.4828i −0.845834 + 1.54903i −0.0100652 + 0.999949i \(0.503204\pi\)
−0.835769 + 0.549081i \(0.814978\pi\)
\(684\) −1.15607 + 8.04065i −0.0442035 + 0.307442i
\(685\) 3.00586 10.5918i 0.114848 0.404692i
\(686\) −17.4420 + 2.50778i −0.665937 + 0.0957473i
\(687\) 4.03890 18.5665i 0.154094 0.708357i
\(688\) 2.39418 0.171235i 0.0912771 0.00652827i
\(689\) 1.23182 0.0469284
\(690\) 6.44951 8.56760i 0.245529 0.326163i
\(691\) −23.4157 −0.890777 −0.445388 0.895337i \(-0.646934\pi\)
−0.445388 + 0.895337i \(0.646934\pi\)
\(692\) −20.3001 + 1.45189i −0.771693 + 0.0551926i
\(693\) −0.823885 + 3.78734i −0.0312968 + 0.143869i
\(694\) 16.7136 2.40305i 0.634438 0.0912184i
\(695\) 23.2475 + 41.6707i 0.881828 + 1.58066i
\(696\) 0.809725 5.63176i 0.0306925 0.213471i
\(697\) 8.17087 14.9638i 0.309494 0.566795i
\(698\) 12.0826 2.62840i 0.457332 0.0994865i
\(699\) 6.17016 + 2.81782i 0.233377 + 0.106580i
\(700\) −8.46721 10.8929i −0.320030 0.411711i
\(701\) −35.3441 + 30.6258i −1.33493 + 1.15672i −0.360314 + 0.932831i \(0.617331\pi\)
−0.974614 + 0.223891i \(0.928124\pi\)
\(702\) 0.0303454 0.424285i 0.00114531 0.0160136i
\(703\) 24.8142 13.5496i 0.935884 0.511031i
\(704\) 0.583516 1.27772i 0.0219921 0.0481559i
\(705\) 13.7021 25.6442i 0.516049 0.965818i
\(706\) 1.76355 0.517824i 0.0663719 0.0194885i
\(707\) −26.0427 34.7890i −0.979437 1.30837i
\(708\) 8.66138 + 3.23053i 0.325514 + 0.121411i
\(709\) −0.880387 6.12323i −0.0330636 0.229963i 0.966589 0.256333i \(-0.0825143\pi\)
−0.999652 + 0.0263701i \(0.991605\pi\)
\(710\) 1.44781 10.7625i 0.0543355 0.403910i
\(711\) −3.46532 3.00271i −0.129960 0.112611i
\(712\) 0.0341528 0.0341528i 0.00127993 0.00127993i
\(713\) 0.382645 32.5432i 0.0143302 1.21875i
\(714\) 16.8254i 0.629676i
\(715\) −0.202137 1.32066i −0.00755950 0.0493900i
\(716\) −18.5754 + 11.9377i −0.694194 + 0.446132i
\(717\) −17.5477 + 23.4410i −0.655331 + 0.875419i
\(718\) 10.4623 28.0505i 0.390449 1.04683i
\(719\) 33.9576 + 4.88236i 1.26640 + 0.182081i 0.742587 0.669750i \(-0.233599\pi\)
0.523816 + 0.851831i \(0.324508\pi\)
\(720\) 2.08790 0.800414i 0.0778115 0.0298297i
\(721\) −39.8170 25.5888i −1.48286 0.952979i
\(722\) 44.0260 16.4208i 1.63848 0.611120i
\(723\) −0.449684 0.823535i −0.0167239 0.0306276i
\(724\) −6.05759 6.99083i −0.225129 0.259812i
\(725\) 18.2363 21.8346i 0.677278 0.810915i
\(726\) 8.66128 + 2.54318i 0.321450 + 0.0943864i
\(727\) −15.9016 42.6338i −0.589758 1.58120i −0.797696 0.603060i \(-0.793948\pi\)
0.207938 0.978142i \(-0.433325\pi\)
\(728\) −0.249495 1.14691i −0.00924690 0.0425073i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 15.8447 + 0.988735i 0.586438 + 0.0365947i
\(731\) 6.08007 + 13.3135i 0.224880 + 0.492418i
\(732\) 9.19955 + 6.88670i 0.340025 + 0.254540i
\(733\) 37.9294 + 8.25104i 1.40096 + 0.304759i 0.848682 0.528903i \(-0.177397\pi\)
0.552274 + 0.833663i \(0.313760\pi\)
\(734\) −6.47156 + 7.46858i −0.238870 + 0.275670i
\(735\) −0.889511 + 1.04558i −0.0328101 + 0.0385669i
\(736\) 3.80520 + 2.91898i 0.140262 + 0.107595i
\(737\) 8.58292 + 8.58292i 0.316156 + 0.316156i
\(738\) −0.199468 2.78892i −0.00734251 0.102662i
\(739\) −9.94703 15.4779i −0.365907 0.569363i 0.608667 0.793426i \(-0.291704\pi\)
−0.974575 + 0.224062i \(0.928068\pi\)
\(740\) −6.58492 4.14788i −0.242066 0.152479i
\(741\) −3.14315 + 1.43543i −0.115467 + 0.0527318i
\(742\) 6.39688 4.78865i 0.234837 0.175797i
\(743\) −0.595079 0.324938i −0.0218313 0.0119208i 0.468296 0.883572i \(-0.344868\pi\)
−0.490128 + 0.871651i \(0.663050\pi\)
\(744\) 3.66890 5.70892i 0.134508 0.209299i
\(745\) 33.4420 + 12.1285i 1.22522 + 0.444355i
\(746\) 3.41071 11.6158i 0.124875 0.425285i
\(747\) 3.89370 + 0.278483i 0.142463 + 0.0101891i
\(748\) 8.54328 + 0.611027i 0.312373 + 0.0223414i
\(749\) −0.933575 + 3.17947i −0.0341121 + 0.116175i
\(750\) 10.9855 + 2.07815i 0.401134 + 0.0758834i
\(751\) 11.1671 17.3764i 0.407494 0.634072i −0.575481 0.817815i \(-0.695185\pi\)
0.982974 + 0.183743i \(0.0588214\pi\)
\(752\) 11.4123 + 6.23161i 0.416166 + 0.227244i
\(753\) −17.7067 + 13.2551i −0.645269 + 0.483042i
\(754\) 2.20150 1.00539i 0.0801738 0.0366142i
\(755\) −24.1868 + 5.49196i −0.880248 + 0.199873i
\(756\) −1.49181 2.32130i −0.0542565 0.0844248i
\(757\) 2.85418 + 39.9066i 0.103737 + 1.45043i 0.736685 + 0.676237i \(0.236390\pi\)
−0.632948 + 0.774195i \(0.718155\pi\)
\(758\) −0.0506253 0.0506253i −0.00183879 0.00183879i
\(759\) 3.29775 5.87412i 0.119701 0.213217i
\(760\) −13.8351 11.7700i −0.501852 0.426942i
\(761\) −3.30561 + 3.81487i −0.119828 + 0.138289i −0.812494 0.582970i \(-0.801891\pi\)
0.692666 + 0.721259i \(0.256436\pi\)
\(762\) −19.2305 4.18334i −0.696648 0.151546i
\(763\) 17.6859 + 13.2395i 0.640273 + 0.479303i
\(764\) −3.73301 8.17416i −0.135056 0.295731i
\(765\) 9.02205 + 10.2230i 0.326193 + 0.369612i
\(766\) 9.26594 + 31.5569i 0.334792 + 1.14020i
\(767\) 0.835850 + 3.84234i 0.0301808 + 0.138739i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) −5.69413 1.67195i −0.205336 0.0602920i 0.177447 0.984130i \(-0.443216\pi\)
−0.382783 + 0.923838i \(0.625034\pi\)
\(770\) −6.18375 6.07247i −0.222847 0.218837i
\(771\) 0.459225 + 0.529973i 0.0165386 + 0.0190865i
\(772\) 7.13771 + 13.0717i 0.256892 + 0.470462i
\(773\) 5.57645 2.07991i 0.200571