Properties

Label 930.2.br.a.11.4
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.00587 + 1.41004i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.520913 - 1.65186i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.976447 - 2.83664i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.00587 + 1.41004i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.520913 - 1.65186i) q^{6} +(-0.0129897 - 0.123589i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.976447 - 2.83664i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-1.53643 - 0.684064i) q^{11} +(0.0150361 + 1.73199i) q^{12} +(0.248847 + 1.17073i) q^{13} +(0.0505449 + 0.113526i) q^{14} +(-0.166088 + 1.72407i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.251322 + 0.111896i) q^{17} +(1.80523 + 2.39607i) q^{18} +(4.89527 + 1.04052i) q^{19} +(0.406737 - 0.913545i) q^{20} +(0.187331 + 0.105998i) q^{21} +(1.67262 + 0.175800i) q^{22} +(2.82606 + 2.05325i) q^{23} +(-0.549513 - 1.64257i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.598443 - 1.03653i) q^{26} +(4.98197 + 1.47647i) q^{27} +(-0.0831524 - 0.0923502i) q^{28} +(-2.71830 - 8.36606i) q^{29} +(-0.374808 - 1.69101i) q^{30} +(3.31997 + 4.46965i) q^{31} +1.00000i q^{32} +(2.51001 - 1.47836i) q^{33} +(0.204444 - 0.184082i) q^{34} +(-0.0730437 - 0.100536i) q^{35} +(-2.45730 - 1.72095i) q^{36} +(8.89048 + 5.13292i) q^{37} +(-4.97721 + 0.523126i) q^{38} +(-1.90109 - 0.826721i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-4.07719 - 3.67112i) q^{41} +(-0.210918 - 0.0429217i) q^{42} +(0.901877 - 4.24300i) q^{43} +(-1.64508 + 0.349673i) q^{44} +(-2.26395 - 1.96838i) q^{45} +(-3.32223 - 1.07946i) q^{46} +(2.81695 + 0.915281i) q^{47} +(1.03020 + 1.39237i) q^{48} +(6.83193 - 1.45217i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(0.0950198 - 0.466929i) q^{51} +(0.889460 + 0.800874i) q^{52} +(-0.920365 + 8.75669i) q^{53} +(-5.19439 + 0.135312i) q^{54} +(-1.67262 + 0.175800i) q^{55} +(0.107620 + 0.0621347i) q^{56} +(-6.39119 + 5.85591i) q^{57} +(5.17051 + 7.11659i) q^{58} +(-0.903708 + 0.813702i) q^{59} +(0.879014 + 1.49243i) q^{60} +3.06126i q^{61} +(-4.53868 - 3.22496i) q^{62} +(-0.337893 + 0.157525i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(0.800874 + 0.889460i) q^{65} +(-1.93033 + 2.18164i) q^{66} +(3.27663 + 5.67529i) q^{67} +(-0.137553 + 0.238249i) q^{68} +(-5.73783 + 1.91956i) q^{69} +(0.100536 + 0.0730437i) q^{70} +(15.0775 + 1.58471i) q^{71} +(2.86883 + 0.877376i) q^{72} +(-2.31783 + 5.20592i) q^{73} +(-10.0415 - 2.13439i) q^{74} +(0.718198 + 1.57613i) q^{75} +(4.57196 - 2.03557i) q^{76} +(-0.0645848 + 0.198771i) q^{77} +(2.06352 + 0.198789i) q^{78} +(3.84839 + 8.64362i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-7.09310 + 5.53966i) q^{81} +(5.01207 + 2.23152i) q^{82} +(3.69418 - 4.10280i) q^{83} +(0.213858 - 0.0243562i) q^{84} +(-0.161704 + 0.222566i) q^{85} +(0.453423 + 4.31403i) q^{86} +(14.5308 + 4.58226i) q^{87} +(1.45651 - 0.840918i) q^{88} +(-7.19218 + 5.22542i) q^{89} +(2.76141 + 1.17244i) q^{90} +(0.141457 - 0.0459621i) q^{91} +3.49320 q^{92} +(-9.64187 + 0.185417i) q^{93} -2.96191 q^{94} +(4.75968 - 1.54652i) q^{95} +(-1.41004 - 1.00587i) q^{96} +(3.57622 - 2.59827i) q^{97} +(-6.04880 + 3.49228i) q^{98} +(-0.440201 + 5.02627i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) −1.00587 + 1.41004i −0.580740 + 0.814089i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 0.520913 1.65186i 0.212662 0.674370i
\(7\) −0.0129897 0.123589i −0.00490964 0.0467121i 0.991793 0.127856i \(-0.0408094\pi\)
−0.996702 + 0.0811436i \(0.974143\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −0.976447 2.83664i −0.325482 0.945548i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −1.53643 0.684064i −0.463252 0.206253i 0.161820 0.986820i \(-0.448264\pi\)
−0.625072 + 0.780567i \(0.714930\pi\)
\(12\) 0.0150361 + 1.73199i 0.00434056 + 0.499981i
\(13\) 0.248847 + 1.17073i 0.0690177 + 0.324703i 0.999089 0.0426765i \(-0.0135885\pi\)
−0.930071 + 0.367379i \(0.880255\pi\)
\(14\) 0.0505449 + 0.113526i 0.0135087 + 0.0303410i
\(15\) −0.166088 + 1.72407i −0.0428837 + 0.445153i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −0.251322 + 0.111896i −0.0609547 + 0.0271388i −0.436988 0.899468i \(-0.643955\pi\)
0.376033 + 0.926606i \(0.377288\pi\)
\(18\) 1.80523 + 2.39607i 0.425496 + 0.564759i
\(19\) 4.89527 + 1.04052i 1.12305 + 0.238712i 0.731765 0.681557i \(-0.238697\pi\)
0.391286 + 0.920269i \(0.372030\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 0.187331 + 0.105998i 0.0408790 + 0.0231307i
\(22\) 1.67262 + 0.175800i 0.356604 + 0.0374806i
\(23\) 2.82606 + 2.05325i 0.589274 + 0.428133i 0.842056 0.539391i \(-0.181345\pi\)
−0.252782 + 0.967523i \(0.581345\pi\)
\(24\) −0.549513 1.64257i −0.112169 0.335288i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.598443 1.03653i −0.117364 0.203281i
\(27\) 4.98197 + 1.47647i 0.958781 + 0.284146i
\(28\) −0.0831524 0.0923502i −0.0157143 0.0174525i
\(29\) −2.71830 8.36606i −0.504775 1.55354i −0.801148 0.598466i \(-0.795777\pi\)
0.296373 0.955072i \(-0.404223\pi\)
\(30\) −0.374808 1.69101i −0.0684302 0.308735i
\(31\) 3.31997 + 4.46965i 0.596285 + 0.802773i
\(32\) 1.00000i 0.176777i
\(33\) 2.51001 1.47836i 0.436937 0.257349i
\(34\) 0.204444 0.184082i 0.0350619 0.0315699i
\(35\) −0.0730437 0.100536i −0.0123466 0.0169937i
\(36\) −2.45730 1.72095i −0.409550 0.286825i
\(37\) 8.89048 + 5.13292i 1.46159 + 0.843847i 0.999085 0.0427714i \(-0.0136187\pi\)
0.462501 + 0.886619i \(0.346952\pi\)
\(38\) −4.97721 + 0.523126i −0.807410 + 0.0848623i
\(39\) −1.90109 0.826721i −0.304418 0.132381i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −4.07719 3.67112i −0.636750 0.573332i 0.286239 0.958158i \(-0.407595\pi\)
−0.922989 + 0.384826i \(0.874261\pi\)
\(42\) −0.210918 0.0429217i −0.0325453 0.00662296i
\(43\) 0.901877 4.24300i 0.137535 0.647051i −0.854327 0.519736i \(-0.826030\pi\)
0.991862 0.127316i \(-0.0406362\pi\)
\(44\) −1.64508 + 0.349673i −0.248006 + 0.0527152i
\(45\) −2.26395 1.96838i −0.337490 0.293429i
\(46\) −3.32223 1.07946i −0.489836 0.159157i
\(47\) 2.81695 + 0.915281i 0.410894 + 0.133507i 0.507168 0.861847i \(-0.330692\pi\)
−0.0962739 + 0.995355i \(0.530692\pi\)
\(48\) 1.03020 + 1.39237i 0.148697 + 0.200971i
\(49\) 6.83193 1.45217i 0.975990 0.207453i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 0.0950198 0.466929i 0.0133054 0.0653831i
\(52\) 0.889460 + 0.800874i 0.123346 + 0.111061i
\(53\) −0.920365 + 8.75669i −0.126422 + 1.20282i 0.728861 + 0.684662i \(0.240050\pi\)
−0.855283 + 0.518162i \(0.826617\pi\)
\(54\) −5.19439 + 0.135312i −0.706867 + 0.0184136i
\(55\) −1.67262 + 0.175800i −0.225536 + 0.0237048i
\(56\) 0.107620 + 0.0621347i 0.0143814 + 0.00830310i
\(57\) −6.39119 + 5.85591i −0.846533 + 0.775634i
\(58\) 5.17051 + 7.11659i 0.678921 + 0.934455i
\(59\) −0.903708 + 0.813702i −0.117653 + 0.105935i −0.725857 0.687845i \(-0.758557\pi\)
0.608205 + 0.793780i \(0.291890\pi\)
\(60\) 0.879014 + 1.49243i 0.113480 + 0.192671i
\(61\) 3.06126i 0.391954i 0.980609 + 0.195977i \(0.0627878\pi\)
−0.980609 + 0.195977i \(0.937212\pi\)
\(62\) −4.53868 3.22496i −0.576413 0.409571i
\(63\) −0.337893 + 0.157525i −0.0425705 + 0.0198463i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 0.800874 + 0.889460i 0.0993361 + 0.110324i
\(66\) −1.93033 + 2.18164i −0.237607 + 0.268541i
\(67\) 3.27663 + 5.67529i 0.400304 + 0.693347i 0.993762 0.111518i \(-0.0355712\pi\)
−0.593458 + 0.804865i \(0.702238\pi\)
\(68\) −0.137553 + 0.238249i −0.0166808 + 0.0288920i
\(69\) −5.73783 + 1.91956i −0.690753 + 0.231088i
\(70\) 0.100536 + 0.0730437i 0.0120164 + 0.00873039i
\(71\) 15.0775 + 1.58471i 1.78937 + 0.188071i 0.940333 0.340255i \(-0.110513\pi\)
0.849042 + 0.528326i \(0.177180\pi\)
\(72\) 2.86883 + 0.877376i 0.338095 + 0.103400i
\(73\) −2.31783 + 5.20592i −0.271281 + 0.609307i −0.996890 0.0787997i \(-0.974891\pi\)
0.725609 + 0.688107i \(0.241558\pi\)
\(74\) −10.0415 2.13439i −1.16730 0.248118i
\(75\) 0.718198 + 1.57613i 0.0829304 + 0.181996i
\(76\) 4.57196 2.03557i 0.524439 0.233495i
\(77\) −0.0645848 + 0.198771i −0.00736012 + 0.0226521i
\(78\) 2.06352 + 0.198789i 0.233647 + 0.0225084i
\(79\) 3.84839 + 8.64362i 0.432977 + 0.972483i 0.989880 + 0.141905i \(0.0453229\pi\)
−0.556903 + 0.830578i \(0.688010\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −7.09310 + 5.53966i −0.788123 + 0.615518i
\(82\) 5.01207 + 2.23152i 0.553491 + 0.246430i
\(83\) 3.69418 4.10280i 0.405489 0.450341i −0.505466 0.862846i \(-0.668679\pi\)
0.910955 + 0.412505i \(0.135346\pi\)
\(84\) 0.213858 0.0243562i 0.0233339 0.00265748i
\(85\) −0.161704 + 0.222566i −0.0175392 + 0.0241407i
\(86\) 0.453423 + 4.31403i 0.0488938 + 0.465194i
\(87\) 14.5308 + 4.58226i 1.55786 + 0.491270i
\(88\) 1.45651 0.840918i 0.155265 0.0896421i
\(89\) −7.19218 + 5.22542i −0.762369 + 0.553894i −0.899636 0.436640i \(-0.856168\pi\)
0.137267 + 0.990534i \(0.456168\pi\)
\(90\) 2.76141 + 1.17244i 0.291078 + 0.123586i
\(91\) 0.141457 0.0459621i 0.0148287 0.00481813i
\(92\) 3.49320 0.364191
\(93\) −9.64187 + 0.185417i −0.999815 + 0.0192268i
\(94\) −2.96191 −0.305498
\(95\) 4.75968 1.54652i 0.488333 0.158669i
\(96\) −1.41004 1.00587i −0.143912 0.102661i
\(97\) 3.57622 2.59827i 0.363110 0.263815i −0.391238 0.920289i \(-0.627953\pi\)
0.754348 + 0.656475i \(0.227953\pi\)
\(98\) −6.04880 + 3.49228i −0.611021 + 0.352773i
\(99\) −0.440201 + 5.02627i −0.0442419 + 0.505159i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −4.55186 + 6.26510i −0.452927 + 0.623400i −0.973023 0.230707i \(-0.925896\pi\)
0.520096 + 0.854108i \(0.325896\pi\)
\(102\) 0.0539197 + 0.473438i 0.00533884 + 0.0468774i
\(103\) −6.85675 + 7.61520i −0.675616 + 0.750348i −0.979298 0.202426i \(-0.935117\pi\)
0.303682 + 0.952774i \(0.401784\pi\)
\(104\) −1.09341 0.486818i −0.107218 0.0477364i
\(105\) 0.215233 0.00186853i 0.0210046 0.000182350i
\(106\) −1.83065 8.61251i −0.177808 0.836521i
\(107\) 6.40126 + 14.3775i 0.618833 + 1.38992i 0.902371 + 0.430961i \(0.141825\pi\)
−0.283537 + 0.958961i \(0.591508\pi\)
\(108\) 4.89835 1.73384i 0.471343 0.166839i
\(109\) 5.38767 16.5815i 0.516045 1.58822i −0.265326 0.964159i \(-0.585480\pi\)
0.781372 0.624066i \(-0.214520\pi\)
\(110\) 1.53643 0.684064i 0.146493 0.0652230i
\(111\) −16.1803 + 7.37291i −1.53577 + 0.699806i
\(112\) −0.121554 0.0258371i −0.0114858 0.00244137i
\(113\) −1.06107 + 2.38320i −0.0998169 + 0.224192i −0.956550 0.291567i \(-0.905823\pi\)
0.856734 + 0.515759i \(0.172490\pi\)
\(114\) 4.26880 7.54428i 0.399810 0.706587i
\(115\) 3.47406 + 0.365139i 0.323958 + 0.0340494i
\(116\) −7.11659 5.17051i −0.660759 0.480070i
\(117\) 3.07796 1.84905i 0.284558 0.170944i
\(118\) 0.608029 1.05314i 0.0559736 0.0969492i
\(119\) 0.0170937 + 0.0296071i 0.00156697 + 0.00271408i
\(120\) −1.29718 1.14775i −0.118416 0.104775i
\(121\) −5.46775 6.07256i −0.497069 0.552051i
\(122\) −0.945980 2.91143i −0.0856450 0.263588i
\(123\) 9.27756 2.05634i 0.836529 0.185414i
\(124\) 5.31311 + 1.66459i 0.477131 + 0.149485i
\(125\) 1.00000i 0.0894427i
\(126\) 0.272678 0.254230i 0.0242921 0.0226486i
\(127\) 4.00873 3.60948i 0.355717 0.320289i −0.471826 0.881692i \(-0.656405\pi\)
0.827543 + 0.561403i \(0.189738\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 5.07564 + 5.53960i 0.446885 + 0.487734i
\(130\) −1.03653 0.598443i −0.0909101 0.0524870i
\(131\) −1.63964 + 0.172333i −0.143256 + 0.0150568i −0.175885 0.984411i \(-0.556279\pi\)
0.0326290 + 0.999468i \(0.489612\pi\)
\(132\) 1.16169 2.67137i 0.101112 0.232513i
\(133\) 0.0650086 0.618515i 0.00563696 0.0536321i
\(134\) −4.87002 4.38499i −0.420706 0.378805i
\(135\) 5.05275 1.21233i 0.434871 0.104341i
\(136\) 0.0571979 0.269095i 0.00490468 0.0230747i
\(137\) 13.4550 2.85994i 1.14953 0.244341i 0.406537 0.913635i \(-0.366736\pi\)
0.742998 + 0.669293i \(0.233403\pi\)
\(138\) 4.86382 3.59870i 0.414036 0.306341i
\(139\) −3.15726 1.02586i −0.267796 0.0870121i 0.172041 0.985090i \(-0.444964\pi\)
−0.439837 + 0.898078i \(0.644964\pi\)
\(140\) −0.118187 0.0384014i −0.00998864 0.00324551i
\(141\) −4.12407 + 3.05136i −0.347309 + 0.256971i
\(142\) −14.8293 + 3.15206i −1.24445 + 0.264515i
\(143\) 0.418519 1.96898i 0.0349983 0.164654i
\(144\) −2.99955 + 0.0520847i −0.249962 + 0.00434039i
\(145\) −6.53714 5.88607i −0.542880 0.488812i
\(146\) 0.595665 5.66737i 0.0492976 0.469035i
\(147\) −4.82441 + 11.0940i −0.397911 + 0.915019i
\(148\) 10.2096 1.07307i 0.839224 0.0882060i
\(149\) −0.401614 0.231872i −0.0329015 0.0189957i 0.483459 0.875367i \(-0.339380\pi\)
−0.516361 + 0.856371i \(0.672714\pi\)
\(150\) −1.17010 1.27705i −0.0955381 0.104271i
\(151\) −0.529925 0.729379i −0.0431247 0.0593560i 0.786910 0.617068i \(-0.211680\pi\)
−0.830035 + 0.557712i \(0.811680\pi\)
\(152\) −3.71916 + 3.34875i −0.301664 + 0.271619i
\(153\) 0.562812 + 0.603652i 0.0455007 + 0.0488024i
\(154\) 0.209001i 0.0168418i
\(155\) 5.11001 + 2.21084i 0.410446 + 0.177579i
\(156\) −2.02395 + 0.448602i −0.162046 + 0.0359169i
\(157\) −1.66784 5.13309i −0.133108 0.409666i 0.862183 0.506598i \(-0.169097\pi\)
−0.995291 + 0.0969321i \(0.969097\pi\)
\(158\) −6.33106 7.03135i −0.503672 0.559384i
\(159\) −11.4215 10.1059i −0.905787 0.801446i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 0.217049 0.375940i 0.0171059 0.0296282i
\(162\) 5.03409 7.46042i 0.395516 0.586146i
\(163\) −11.1246 8.08251i −0.871348 0.633071i 0.0596005 0.998222i \(-0.481017\pi\)
−0.930948 + 0.365151i \(0.881017\pi\)
\(164\) −5.45634 0.573485i −0.426069 0.0447816i
\(165\) 1.43456 2.53530i 0.111680 0.197373i
\(166\) −2.24554 + 5.04356i −0.174288 + 0.391457i
\(167\) 4.95913 + 1.05409i 0.383749 + 0.0815683i 0.395747 0.918360i \(-0.370486\pi\)
−0.0119980 + 0.999928i \(0.503819\pi\)
\(168\) −0.195865 + 0.0892500i −0.0151113 + 0.00688579i
\(169\) 10.5674 4.70491i 0.812877 0.361916i
\(170\) 0.0850126 0.261642i 0.00652017 0.0200670i
\(171\) −1.82838 14.9021i −0.139820 1.13960i
\(172\) −1.76434 3.96277i −0.134530 0.302158i
\(173\) −4.89946 23.0502i −0.372499 1.75247i −0.620972 0.783833i \(-0.713262\pi\)
0.248473 0.968639i \(-0.420071\pi\)
\(174\) −15.2356 + 0.132267i −1.15501 + 0.0100271i
\(175\) −0.113526 0.0505449i −0.00858174 0.00382084i
\(176\) −1.12537 + 1.24985i −0.0848278 + 0.0942108i
\(177\) −0.238342 2.09275i −0.0179149 0.157300i
\(178\) 5.22542 7.19218i 0.391662 0.539077i
\(179\) 0.00672597 + 0.0639933i 0.000502723 + 0.00478309i 0.994770 0.102137i \(-0.0325679\pi\)
−0.994268 + 0.106920i \(0.965901\pi\)
\(180\) −2.98856 0.261739i −0.222754 0.0195089i
\(181\) −13.7532 + 7.94044i −1.02227 + 0.590208i −0.914761 0.403996i \(-0.867621\pi\)
−0.107509 + 0.994204i \(0.534288\pi\)
\(182\) −0.120330 + 0.0874251i −0.00891947 + 0.00648038i
\(183\) −4.31651 3.07923i −0.319085 0.227623i
\(184\) −3.32223 + 1.07946i −0.244918 + 0.0795787i
\(185\) 10.2658 0.754760
\(186\) 9.11266 3.15584i 0.668173 0.231398i
\(187\) 0.462684 0.0338348
\(188\) 2.81695 0.915281i 0.205447 0.0667537i
\(189\) 0.117760 0.634894i 0.00856579 0.0461817i
\(190\) −4.04883 + 2.94165i −0.293733 + 0.213409i
\(191\) 20.5622 11.8716i 1.48783 0.858999i 0.487927 0.872885i \(-0.337753\pi\)
0.999904 + 0.0138856i \(0.00442007\pi\)
\(192\) 1.65186 + 0.520913i 0.119213 + 0.0375936i
\(193\) −1.23626 11.7622i −0.0889880 0.846664i −0.944418 0.328746i \(-0.893374\pi\)
0.855430 0.517918i \(-0.173293\pi\)
\(194\) −2.59827 + 3.57622i −0.186545 + 0.256757i
\(195\) −2.05975 + 0.234584i −0.147502 + 0.0167989i
\(196\) 4.67358 5.19054i 0.333827 0.370753i
\(197\) 5.64299 + 2.51242i 0.402047 + 0.179003i 0.597790 0.801652i \(-0.296045\pi\)
−0.195744 + 0.980655i \(0.562712\pi\)
\(198\) −1.13455 4.91629i −0.0806286 0.349386i
\(199\) 3.92159 + 18.4496i 0.277994 + 1.30786i 0.866424 + 0.499310i \(0.166413\pi\)
−0.588430 + 0.808548i \(0.700254\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −11.2983 1.08842i −0.796919 0.0767711i
\(202\) 2.39305 7.36506i 0.168375 0.518204i
\(203\) −0.998640 + 0.444623i −0.0700908 + 0.0312064i
\(204\) −0.197581 0.433604i −0.0138334 0.0303584i
\(205\) −5.36651 1.14069i −0.374813 0.0796690i
\(206\) 4.16794 9.36134i 0.290394 0.652235i
\(207\) 3.06485 10.0214i 0.213022 0.696536i
\(208\) 1.19033 + 0.125109i 0.0825345 + 0.00867473i
\(209\) −6.80946 4.94737i −0.471021 0.342216i
\(210\) −0.204121 + 0.0682877i −0.0140857 + 0.00471230i
\(211\) 10.6534 18.4522i 0.733409 1.27030i −0.222009 0.975045i \(-0.571261\pi\)
0.955418 0.295257i \(-0.0954053\pi\)
\(212\) 4.40246 + 7.62529i 0.302362 + 0.523707i
\(213\) −17.4006 + 19.6660i −1.19227 + 1.34749i
\(214\) −10.5308 11.6957i −0.719874 0.799501i
\(215\) −1.34045 4.12548i −0.0914180 0.281356i
\(216\) −4.12282 + 3.16266i −0.280522 + 0.215191i
\(217\) 0.509272 0.468370i 0.0345717 0.0317951i
\(218\) 17.4349i 1.18084i
\(219\) −5.00914 8.50472i −0.338487 0.574696i
\(220\) −1.24985 + 1.12537i −0.0842647 + 0.0758723i
\(221\) −0.193541 0.266386i −0.0130190 0.0179191i
\(222\) 13.1100 12.0120i 0.879889 0.806196i
\(223\) −11.8236 6.82639i −0.791770 0.457129i 0.0488153 0.998808i \(-0.484455\pi\)
−0.840585 + 0.541679i \(0.817789\pi\)
\(224\) 0.123589 0.0129897i 0.00825761 0.000867910i
\(225\) −2.94483 0.572695i −0.196322 0.0381796i
\(226\) 0.272687 2.59445i 0.0181389 0.172580i
\(227\) 7.21742 + 6.49860i 0.479037 + 0.431327i 0.872942 0.487824i \(-0.162209\pi\)
−0.393905 + 0.919151i \(0.628876\pi\)
\(228\) −1.72856 + 8.49417i −0.114477 + 0.562540i
\(229\) 2.50829 11.8006i 0.165753 0.779805i −0.814202 0.580582i \(-0.802825\pi\)
0.979954 0.199223i \(-0.0638417\pi\)
\(230\) −3.41687 + 0.726277i −0.225301 + 0.0478893i
\(231\) −0.215312 0.291006i −0.0141665 0.0191468i
\(232\) 8.36606 + 2.71830i 0.549259 + 0.178465i
\(233\) −20.9613 6.81073i −1.37322 0.446186i −0.472785 0.881178i \(-0.656751\pi\)
−0.900434 + 0.434992i \(0.856751\pi\)
\(234\) −2.35593 + 2.70969i −0.154012 + 0.177138i
\(235\) 2.89719 0.615816i 0.188992 0.0401714i
\(236\) −0.252833 + 1.18948i −0.0164580 + 0.0774289i
\(237\) −16.0589 3.26797i −1.04314 0.212278i
\(238\) −0.0254061 0.0228758i −0.00164684 0.00148282i
\(239\) −0.432890 + 4.11868i −0.0280013 + 0.266415i 0.971560 + 0.236794i \(0.0760967\pi\)
−0.999561 + 0.0296209i \(0.990570\pi\)
\(240\) 1.58836 + 0.690726i 0.102528 + 0.0445862i
\(241\) 22.4566 2.36028i 1.44656 0.152039i 0.651534 0.758620i \(-0.274126\pi\)
0.795022 + 0.606580i \(0.207459\pi\)
\(242\) 7.07667 + 4.08571i 0.454905 + 0.262640i
\(243\) −0.676422 15.5738i −0.0433925 0.999058i
\(244\) 1.79936 + 2.47661i 0.115192 + 0.158549i
\(245\) 5.19054 4.67358i 0.331611 0.298584i
\(246\) −8.18804 + 4.82262i −0.522050 + 0.307479i
\(247\) 5.98997i 0.381133i
\(248\) −5.56745 + 0.0587210i −0.353534 + 0.00372879i
\(249\) 2.06926 + 9.33585i 0.131134 + 0.591636i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) −4.81886 5.35188i −0.304164 0.337808i 0.571614 0.820523i \(-0.306317\pi\)
−0.875778 + 0.482715i \(0.839651\pi\)
\(252\) −0.180771 + 0.326049i −0.0113875 + 0.0205392i
\(253\) −2.93749 5.08789i −0.184679 0.319873i
\(254\) −2.69714 + 4.67158i −0.169233 + 0.293121i
\(255\) −0.151175 0.451882i −0.00946693 0.0282979i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 5.78764 + 0.608305i 0.361023 + 0.0379450i 0.283304 0.959030i \(-0.408570\pi\)
0.0777192 + 0.996975i \(0.475236\pi\)
\(258\) −6.53905 3.70001i −0.407104 0.230353i
\(259\) 0.518886 1.16544i 0.0322420 0.0724168i
\(260\) 1.17073 + 0.248847i 0.0726057 + 0.0154328i
\(261\) −21.0773 + 15.8799i −1.30465 + 0.982938i
\(262\) 1.50614 0.670575i 0.0930494 0.0414282i
\(263\) 1.69580 5.21912i 0.104567 0.321825i −0.885061 0.465474i \(-0.845884\pi\)
0.989629 + 0.143649i \(0.0458838\pi\)
\(264\) −0.279333 + 2.89960i −0.0171917 + 0.178458i
\(265\) 3.58128 + 8.04370i 0.219997 + 0.494120i
\(266\) 0.129305 + 0.608332i 0.00792819 + 0.0372992i
\(267\) −0.133672 15.3974i −0.00818057 0.942305i
\(268\) 5.98670 + 2.66545i 0.365696 + 0.162818i
\(269\) −12.1147 + 13.4547i −0.738646 + 0.820350i −0.989017 0.147800i \(-0.952781\pi\)
0.250371 + 0.968150i \(0.419447\pi\)
\(270\) −4.43082 + 2.71438i −0.269651 + 0.165192i
\(271\) 4.46470 6.14513i 0.271211 0.373290i −0.651587 0.758574i \(-0.725896\pi\)
0.922798 + 0.385284i \(0.125896\pi\)
\(272\) 0.0287565 + 0.273600i 0.00174362 + 0.0165894i
\(273\) −0.0774787 + 0.245692i −0.00468922 + 0.0148700i
\(274\) −11.9127 + 6.87778i −0.719670 + 0.415502i
\(275\) −1.36063 + 0.988558i −0.0820493 + 0.0596123i
\(276\) −3.51371 + 4.92557i −0.211500 + 0.296484i
\(277\) −13.5789 + 4.41204i −0.815875 + 0.265094i −0.687084 0.726578i \(-0.741110\pi\)
−0.128791 + 0.991672i \(0.541110\pi\)
\(278\) 3.31974 0.199105
\(279\) 9.43703 13.7820i 0.564980 0.825104i
\(280\) 0.124269 0.00742652
\(281\) 25.7156 8.35549i 1.53406 0.498447i 0.584331 0.811516i \(-0.301357\pi\)
0.949730 + 0.313069i \(0.101357\pi\)
\(282\) 2.97930 4.17643i 0.177415 0.248703i
\(283\) −23.6717 + 17.1985i −1.40714 + 1.02235i −0.413407 + 0.910546i \(0.635661\pi\)
−0.993731 + 0.111799i \(0.964339\pi\)
\(284\) 13.1295 7.58030i 0.779090 0.449808i
\(285\) −2.60697 + 8.26696i −0.154424 + 0.489692i
\(286\) 0.210412 + 2.00194i 0.0124419 + 0.118377i
\(287\) −0.400747 + 0.551581i −0.0236553 + 0.0325588i
\(288\) 2.83664 0.976447i 0.167151 0.0575377i
\(289\) −11.3246 + 12.5772i −0.666152 + 0.739836i
\(290\) 8.03609 + 3.57790i 0.471895 + 0.210101i
\(291\) 0.0664664 + 7.65615i 0.00389633 + 0.448811i
\(292\) 1.18480 + 5.57406i 0.0693354 + 0.326197i
\(293\) −2.60346 5.84747i −0.152096 0.341613i 0.821388 0.570370i \(-0.193200\pi\)
−0.973483 + 0.228758i \(0.926534\pi\)
\(294\) 1.16005 12.0419i 0.0676556 0.702296i
\(295\) −0.375783 + 1.15654i −0.0218789 + 0.0673364i
\(296\) −9.37832 + 4.17549i −0.545103 + 0.242696i
\(297\) −6.64447 5.67648i −0.385551 0.329383i
\(298\) 0.453609 + 0.0964177i 0.0262769 + 0.00558533i
\(299\) −1.70055 + 3.81950i −0.0983454 + 0.220887i
\(300\) 1.50746 + 0.852971i 0.0870333 + 0.0492463i
\(301\) −0.536102 0.0563466i −0.0309004 0.00324776i
\(302\) 0.729379 + 0.529925i 0.0419710 + 0.0304937i
\(303\) −4.25548 12.7202i −0.244471 0.730756i
\(304\) 2.50231 4.33414i 0.143518 0.248580i
\(305\) 1.53063 + 2.65113i 0.0876435 + 0.151803i
\(306\) −0.721805 0.400189i −0.0412628 0.0228773i
\(307\) 1.48907 + 1.65377i 0.0849854 + 0.0943859i 0.784138 0.620587i \(-0.213106\pi\)
−0.699152 + 0.714973i \(0.746439\pi\)
\(308\) 0.0645848 + 0.198771i 0.00368006 + 0.0113261i
\(309\) −3.84075 17.3282i −0.218493 0.985768i
\(310\) −5.54309 0.523558i −0.314827 0.0297361i
\(311\) 7.43836i 0.421791i −0.977509 0.210895i \(-0.932362\pi\)
0.977509 0.210895i \(-0.0676380\pi\)
\(312\) 1.78626 1.05208i 0.101127 0.0595623i
\(313\) −8.28003 + 7.45537i −0.468015 + 0.421403i −0.869099 0.494639i \(-0.835300\pi\)
0.401084 + 0.916041i \(0.368634\pi\)
\(314\) 3.17243 + 4.36647i 0.179030 + 0.246414i
\(315\) −0.213862 + 0.305367i −0.0120497 + 0.0172055i
\(316\) 8.19400 + 4.73081i 0.460949 + 0.266129i
\(317\) −26.6629 + 2.80238i −1.49754 + 0.157397i −0.817563 0.575839i \(-0.804675\pi\)
−0.679973 + 0.733237i \(0.738009\pi\)
\(318\) 13.9854 + 6.08179i 0.784263 + 0.341050i
\(319\) −1.54644 + 14.7134i −0.0865839 + 0.823791i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −26.7117 5.43582i −1.49090 0.303398i
\(322\) −0.0902540 + 0.424612i −0.00502966 + 0.0236627i
\(323\) −1.34672 + 0.286254i −0.0749335 + 0.0159276i
\(324\) −2.48231 + 8.65090i −0.137906 + 0.480606i
\(325\) 1.13831 + 0.369858i 0.0631419 + 0.0205160i
\(326\) 13.0778 + 4.24923i 0.724311 + 0.235343i
\(327\) 17.9614 + 24.2758i 0.993268 + 1.34245i
\(328\) 5.36651 1.14069i 0.296316 0.0629839i
\(329\) 0.0765271 0.360032i 0.00421908 0.0198492i
\(330\) −0.580893 + 2.85452i −0.0319771 + 0.157136i
\(331\) 1.27327 + 1.14646i 0.0699852 + 0.0630150i 0.703381 0.710813i \(-0.251673\pi\)
−0.633396 + 0.773828i \(0.718339\pi\)
\(332\) 0.577088 5.49062i 0.0316718 0.301337i
\(333\) 5.87919 30.2312i 0.322178 1.65666i
\(334\) −5.04214 + 0.529951i −0.275894 + 0.0289976i
\(335\) 5.67529 + 3.27663i 0.310074 + 0.179021i
\(336\) 0.158699 0.145407i 0.00865773 0.00793263i
\(337\) 8.03190 + 11.0550i 0.437525 + 0.602202i 0.969660 0.244458i \(-0.0786100\pi\)
−0.532135 + 0.846660i \(0.678610\pi\)
\(338\) −8.59630 + 7.74014i −0.467577 + 0.421008i
\(339\) −2.29312 3.89334i −0.124545 0.211457i
\(340\) 0.275107i 0.0149198i
\(341\) −2.04339 9.13839i −0.110656 0.494872i
\(342\) 6.34391 + 13.6078i 0.343039 + 0.735824i
\(343\) −0.537026 1.65280i −0.0289967 0.0892426i
\(344\) 2.90255 + 3.22361i 0.156495 + 0.173805i
\(345\) −4.00932 + 4.53130i −0.215855 + 0.243957i
\(346\) 11.7826 + 20.4080i 0.633434 + 1.09714i
\(347\) −3.02143 + 5.23328i −0.162199 + 0.280937i −0.935657 0.352911i \(-0.885192\pi\)
0.773458 + 0.633848i \(0.218525\pi\)
\(348\) 14.4490 4.83384i 0.774549 0.259121i
\(349\) −1.72120 1.25052i −0.0921337 0.0669391i 0.540765 0.841174i \(-0.318135\pi\)
−0.632898 + 0.774235i \(0.718135\pi\)
\(350\) 0.123589 + 0.0129897i 0.00660609 + 0.000694328i
\(351\) −0.488798 + 6.19997i −0.0260901 + 0.330930i
\(352\) 0.684064 1.53643i 0.0364607 0.0818922i
\(353\) −5.89876 1.25382i −0.313959 0.0667341i 0.0482371 0.998836i \(-0.484640\pi\)
−0.362196 + 0.932102i \(0.617973\pi\)
\(354\) 0.873371 + 1.91667i 0.0464191 + 0.101870i
\(355\) 13.8499 6.16637i 0.735076 0.327277i
\(356\) −2.74717 + 8.45491i −0.145600 + 0.448110i
\(357\) −0.0589413 0.00567811i −0.00311951 0.000300517i
\(358\) −0.0261718 0.0587828i −0.00138322 0.00310677i
\(359\) 1.19671 + 5.63006i 0.0631598 + 0.297143i 0.998378 0.0569276i \(-0.0181304\pi\)
−0.935219 + 0.354071i \(0.884797\pi\)
\(360\) 2.92317 0.674588i 0.154065 0.0355539i
\(361\) 5.52357 + 2.45925i 0.290714 + 0.129434i
\(362\) 10.6264 11.8018i 0.558510 0.620288i
\(363\) 14.0624 1.60156i 0.738086 0.0840603i
\(364\) 0.0874251 0.120330i 0.00458232 0.00630702i
\(365\) 0.595665 + 5.66737i 0.0311785 + 0.296644i
\(366\) 5.05678 + 1.59465i 0.264322 + 0.0833536i
\(367\) 21.3598 12.3321i 1.11497 0.643730i 0.174860 0.984593i \(-0.444053\pi\)
0.940113 + 0.340863i \(0.110719\pi\)
\(368\) 2.82606 2.05325i 0.147318 0.107033i
\(369\) −6.43250 + 15.1502i −0.334862 + 0.788687i
\(370\) −9.76340 + 3.17232i −0.507575 + 0.164921i
\(371\) 1.09418 0.0568071
\(372\) −7.69145 + 5.81735i −0.398783 + 0.301616i
\(373\) 16.1225 0.834790 0.417395 0.908725i \(-0.362943\pi\)
0.417395 + 0.908725i \(0.362943\pi\)
\(374\) −0.440039 + 0.142977i −0.0227539 + 0.00739318i
\(375\) 1.41004 + 1.00587i 0.0728143 + 0.0519430i
\(376\) −2.39624 + 1.74097i −0.123577 + 0.0897836i
\(377\) 9.11797 5.26426i 0.469599 0.271123i
\(378\) 0.0841965 + 0.640210i 0.00433060 + 0.0329288i
\(379\) −2.74840 26.1492i −0.141176 1.34320i −0.804093 0.594504i \(-0.797348\pi\)
0.662917 0.748693i \(-0.269318\pi\)
\(380\) 2.94165 4.04883i 0.150903 0.207701i
\(381\) 1.05725 + 9.28315i 0.0541648 + 0.475590i
\(382\) −15.8873 + 17.6446i −0.812865 + 0.902778i
\(383\) 3.47460 + 1.54699i 0.177544 + 0.0790475i 0.493584 0.869698i \(-0.335687\pi\)
−0.316040 + 0.948746i \(0.602353\pi\)
\(384\) −1.73199 + 0.0150361i −0.0883850 + 0.000767309i
\(385\) 0.0434537 + 0.204433i 0.00221460 + 0.0104189i
\(386\) 4.81049 + 10.8045i 0.244847 + 0.549936i
\(387\) −12.9165 + 1.58476i −0.656583 + 0.0805578i
\(388\) 1.36599 4.20409i 0.0693478 0.213430i
\(389\) 17.3903 7.74267i 0.881725 0.392569i 0.0846221 0.996413i \(-0.473032\pi\)
0.797102 + 0.603844i \(0.206365\pi\)
\(390\) 1.88645 0.859602i 0.0955242 0.0435276i
\(391\) −0.940003 0.199804i −0.0475380 0.0101045i
\(392\) −2.84088 + 6.38071i −0.143486 + 0.322275i
\(393\) 1.40627 2.48531i 0.0709369 0.125367i
\(394\) −6.14319 0.645675i −0.309489 0.0325286i
\(395\) 7.65461 + 5.56140i 0.385145 + 0.279824i
\(396\) 2.59823 + 4.32508i 0.130566 + 0.217343i
\(397\) 9.29443 16.0984i 0.466474 0.807957i −0.532793 0.846246i \(-0.678857\pi\)
0.999267 + 0.0382892i \(0.0121908\pi\)
\(398\) −9.43089 16.3348i −0.472728 0.818789i
\(399\) 0.806743 + 0.713811i 0.0403877 + 0.0357353i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −3.91850 12.0599i −0.195681 0.602243i −0.999968 0.00800254i \(-0.997453\pi\)
0.804287 0.594241i \(-0.202547\pi\)
\(402\) 11.0816 2.45621i 0.552702 0.122505i
\(403\) −4.40660 + 4.99906i −0.219508 + 0.249021i
\(404\) 7.74408i 0.385283i
\(405\) −3.37298 + 8.34404i −0.167604 + 0.414619i
\(406\) 0.812367 0.731458i 0.0403171 0.0363017i
\(407\) −10.1484 13.9681i −0.503037 0.692371i
\(408\) 0.321902 + 0.351326i 0.0159365 + 0.0173932i
\(409\) 22.6265 + 13.0634i 1.11881 + 0.645945i 0.941097 0.338137i \(-0.109797\pi\)
0.177713 + 0.984082i \(0.443130\pi\)
\(410\) 5.45634 0.573485i 0.269470 0.0283224i
\(411\) −9.50131 + 21.8488i −0.468665 + 1.07772i
\(412\) −1.07113 + 10.1911i −0.0527708 + 0.502081i
\(413\) 0.112303 + 0.101118i 0.00552608 + 0.00497570i
\(414\) 0.181942 + 10.4780i 0.00894198 + 0.514967i
\(415\) 1.14785 5.40022i 0.0563459 0.265087i
\(416\) −1.17073 + 0.248847i −0.0573999 + 0.0122007i
\(417\) 4.62230 3.42000i 0.226355 0.167478i
\(418\) 8.00501 + 2.60098i 0.391538 + 0.127218i
\(419\) 13.6334 + 4.42977i 0.666037 + 0.216408i 0.622472 0.782642i \(-0.286128\pi\)
0.0435648 + 0.999051i \(0.486128\pi\)
\(420\) 0.173029 0.128022i 0.00844294 0.00624685i
\(421\) −9.58059 + 2.03642i −0.466929 + 0.0992489i −0.435367 0.900253i \(-0.643382\pi\)
−0.0315620 + 0.999502i \(0.510048\pi\)
\(422\) −4.42992 + 20.8412i −0.215645 + 1.01453i
\(423\) −0.154270 8.88440i −0.00750088 0.431974i
\(424\) −6.54333 5.89164i −0.317772 0.286123i
\(425\) −0.0287565 + 0.273600i −0.00139489 + 0.0132715i
\(426\) 10.4718 24.0805i 0.507361 1.16671i
\(427\) 0.378337 0.0397648i 0.0183090 0.00192435i
\(428\) 13.6296 + 7.86905i 0.658811 + 0.380365i
\(429\) 2.35537 + 2.57067i 0.113718 + 0.124113i
\(430\) 2.54969 + 3.50935i 0.122957 + 0.169236i
\(431\) −8.09919 + 7.29255i −0.390124 + 0.351270i −0.840731 0.541453i \(-0.817874\pi\)
0.450607 + 0.892723i \(0.351208\pi\)
\(432\) 2.94372 4.28188i 0.141630 0.206012i
\(433\) 3.03249i 0.145732i 0.997342 + 0.0728661i \(0.0232146\pi\)
−0.997342 + 0.0728661i \(0.976785\pi\)
\(434\) −0.339613 + 0.602821i −0.0163019 + 0.0289363i
\(435\) 14.8751 3.29703i 0.713208 0.158080i
\(436\) −5.38767 16.5815i −0.258023 0.794112i
\(437\) 11.6979 + 12.9918i 0.559584 + 0.621481i
\(438\) 7.39208 + 6.54056i 0.353207 + 0.312520i
\(439\) −9.00073 15.5897i −0.429581 0.744057i 0.567255 0.823542i \(-0.308006\pi\)
−0.996836 + 0.0794858i \(0.974672\pi\)
\(440\) 0.840918 1.45651i 0.0400892 0.0694365i
\(441\) −10.7903 17.9618i −0.513824 0.855323i
\(442\) 0.266386 + 0.193541i 0.0126707 + 0.00920580i
\(443\) −15.7085 1.65103i −0.746332 0.0784427i −0.276275 0.961079i \(-0.589100\pi\)
−0.470057 + 0.882636i \(0.655767\pi\)
\(444\) −8.75647 + 15.4754i −0.415564 + 0.734428i
\(445\) −3.61590 + 8.12144i −0.171410 + 0.384993i
\(446\) 13.3544 + 2.83857i 0.632350 + 0.134410i
\(447\) 0.730921 0.333060i 0.0345714 0.0157532i
\(448\) −0.113526 + 0.0505449i −0.00536359 + 0.00238802i
\(449\) −1.72422 + 5.30661i −0.0813710 + 0.250434i −0.983463 0.181110i \(-0.942031\pi\)
0.902092 + 0.431544i \(0.142031\pi\)
\(450\) 2.97767 0.365338i 0.140369 0.0172222i
\(451\) 3.75305 + 8.42948i 0.176724 + 0.396929i
\(452\) 0.542387 + 2.55173i 0.0255117 + 0.120023i
\(453\) 1.56149 0.0135560i 0.0733653 0.000636917i
\(454\) −8.87235 3.95023i −0.416400 0.185393i
\(455\) 0.0995241 0.110533i 0.00466576 0.00518185i
\(456\) −0.980885 8.61259i −0.0459341 0.403322i
\(457\) 2.77355 3.81747i 0.129741 0.178574i −0.739204 0.673481i \(-0.764798\pi\)
0.868946 + 0.494908i \(0.164798\pi\)
\(458\) 1.26105 + 11.9981i 0.0589252 + 0.560636i
\(459\) −1.41729 + 0.186394i −0.0661535 + 0.00870011i
\(460\) 3.02520 1.74660i 0.141051 0.0814357i
\(461\) −13.5073 + 9.81364i −0.629098 + 0.457067i −0.856088 0.516831i \(-0.827112\pi\)
0.226989 + 0.973897i \(0.427112\pi\)
\(462\) 0.294700 + 0.210228i 0.0137107 + 0.00978068i
\(463\) −27.7025 + 9.00108i −1.28744 + 0.418316i −0.871196 0.490935i \(-0.836655\pi\)
−0.416248 + 0.909251i \(0.636655\pi\)
\(464\) −8.79659 −0.408372
\(465\) −8.25739 + 4.98151i −0.382927 + 0.231012i
\(466\) 22.0400 1.02098
\(467\) 1.25164 0.406683i 0.0579191 0.0188191i −0.279914 0.960025i \(-0.590306\pi\)
0.337833 + 0.941206i \(0.390306\pi\)
\(468\) 1.40328 3.30509i 0.0648668 0.152778i
\(469\) 0.658839 0.478674i 0.0304223 0.0221031i
\(470\) −2.56509 + 1.48096i −0.118319 + 0.0683114i
\(471\) 8.91552 + 2.81150i 0.410806 + 0.129547i
\(472\) −0.127113 1.20940i −0.00585084 0.0556670i
\(473\) −4.28816 + 5.90214i −0.197170 + 0.271381i
\(474\) 16.2827 1.85444i 0.747891 0.0851770i
\(475\) 3.34875 3.71916i 0.153651 0.170647i
\(476\) 0.0312317 + 0.0139052i 0.00143150 + 0.000637346i
\(477\) 25.7383 5.93969i 1.17848 0.271960i
\(478\) −0.861038 4.05086i −0.0393829 0.185282i
\(479\) −3.73826 8.39627i −0.170805 0.383635i 0.807778 0.589487i \(-0.200670\pi\)
−0.978583 + 0.205852i \(0.934003\pi\)
\(480\) −1.72407 0.166088i −0.0786926 0.00758085i
\(481\) −3.79691 + 11.6857i −0.173124 + 0.532821i
\(482\) −20.6281 + 9.18423i −0.939585 + 0.418330i
\(483\) 0.311768 + 0.684195i 0.0141859 + 0.0311320i
\(484\) −7.99286 1.69894i −0.363312 0.0772244i
\(485\) 1.79796 4.03828i 0.0816410 0.183369i
\(486\) 5.45588 + 14.6025i 0.247484 + 0.662383i
\(487\) −20.6178 2.16702i −0.934283 0.0981971i −0.374862 0.927081i \(-0.622310\pi\)
−0.559421 + 0.828884i \(0.688977\pi\)
\(488\) −2.47661 1.79936i −0.112111 0.0814533i
\(489\) 22.5866 7.55624i 1.02140 0.341705i
\(490\) −3.49228 + 6.04880i −0.157765 + 0.273257i
\(491\) 7.89383 + 13.6725i 0.356244 + 0.617032i 0.987330 0.158680i \(-0.0507239\pi\)
−0.631086 + 0.775713i \(0.717391\pi\)
\(492\) 6.29702 7.11683i 0.283891 0.320851i
\(493\) 1.61930 + 1.79841i 0.0729295 + 0.0809964i
\(494\) −1.85100 5.69680i −0.0832806 0.256311i
\(495\) 2.13191 + 4.57298i 0.0958221 + 0.205540i
\(496\) 5.27682 1.77629i 0.236936 0.0797576i
\(497\) 1.88400i 0.0845088i
\(498\) −4.85292 8.23948i −0.217465 0.369220i
\(499\) −11.2739 + 10.1511i −0.504691 + 0.454425i −0.881718 0.471777i \(-0.843613\pi\)
0.377028 + 0.926202i \(0.376946\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −6.47456 + 5.93230i −0.289262 + 0.265036i
\(502\) 6.23683 + 3.60084i 0.278363 + 0.160713i
\(503\) 24.0689 2.52974i 1.07318 0.112796i 0.448581 0.893742i \(-0.351930\pi\)
0.624598 + 0.780947i \(0.285263\pi\)
\(504\) 0.0711684 0.365952i 0.00317009 0.0163008i
\(505\) −0.809477 + 7.70166i −0.0360213 + 0.342719i
\(506\) 4.36597 + 3.93113i 0.194091 + 0.174760i
\(507\) −3.99531 + 19.6330i −0.177438 + 0.871934i
\(508\) 1.12153 5.27640i 0.0497600 0.234102i
\(509\) −39.4882 + 8.39348i −1.75029 + 0.372035i −0.968013 0.250901i \(-0.919273\pi\)
−0.782273 + 0.622936i \(0.785940\pi\)
\(510\) 0.283415 + 0.383050i 0.0125498 + 0.0169617i
\(511\) 0.673501 + 0.218834i 0.0297939 + 0.00968063i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) 22.8518 + 12.4115i 1.00893 + 0.547983i
\(514\) −5.69235 + 1.20995i −0.251079 + 0.0533684i
\(515\) −2.13052 + 10.0233i −0.0938821 + 0.441681i
\(516\) 7.36238 + 1.49824i 0.324111 + 0.0659564i
\(517\) −3.70194 3.33324i −0.162811 0.146596i
\(518\) −0.133350 + 1.26874i −0.00585907 + 0.0557453i
\(519\) 37.4300 + 16.2770i 1.64299 + 0.714483i
\(520\) −1.19033 + 0.125109i −0.0521994 + 0.00548638i
\(521\) 34.0699 + 19.6703i 1.49263 + 0.861771i 0.999964 0.00844794i \(-0.00268909\pi\)
0.492666 + 0.870218i \(0.336022\pi\)
\(522\) 15.1385 21.6159i 0.662595 0.946101i
\(523\) 6.17550 + 8.49984i 0.270036 + 0.371672i 0.922402 0.386232i \(-0.126224\pi\)
−0.652366 + 0.757904i \(0.726224\pi\)
\(524\) −1.22520 + 1.10318i −0.0535232 + 0.0481925i
\(525\) 0.185463 0.109235i 0.00809426 0.00476739i
\(526\) 5.48771i 0.239276i
\(527\) −1.33452 0.751832i −0.0581326 0.0327503i
\(528\) −0.630365 2.84400i −0.0274331 0.123769i
\(529\) −3.33663 10.2691i −0.145071 0.446482i
\(530\) −5.89164 6.54333i −0.255917 0.284224i
\(531\) 3.19061 + 1.76896i 0.138460 + 0.0767663i
\(532\) −0.310961 0.538600i −0.0134819 0.0233513i
\(533\) 3.28330 5.68684i 0.142215 0.246324i
\(534\) 4.88518 + 14.6025i 0.211403 + 0.631911i
\(535\) 12.7324 + 9.25062i 0.550469 + 0.399939i
\(536\) −6.51736 0.685002i −0.281507 0.0295876i
\(537\) −0.0969989 0.0548851i −0.00418581 0.00236847i
\(538\) 7.36402 16.5399i 0.317486 0.713084i
\(539\) −11.4902 2.44231i −0.494917 0.105198i
\(540\) 3.37517 3.95073i 0.145244 0.170012i
\(541\) 6.23714 2.77695i 0.268155 0.119391i −0.268254 0.963348i \(-0.586447\pi\)
0.536410 + 0.843958i \(0.319780\pi\)
\(542\) −2.34723 + 7.22404i −0.100822 + 0.310299i
\(543\) 2.63762 27.3797i 0.113191 1.17498i
\(544\) −0.111896 0.251322i −0.00479750 0.0107754i
\(545\) −3.62491 17.0539i −0.155274 0.730508i
\(546\) −0.00223642 0.257609i −9.57099e−5 0.0110247i
\(547\) 0.792438 + 0.352816i 0.0338822 + 0.0150853i 0.423608 0.905846i \(-0.360763\pi\)
−0.389726 + 0.920931i \(0.627430\pi\)
\(548\) 9.20426 10.2224i 0.393187 0.436678i
\(549\) 8.68370 2.98915i 0.370611 0.127574i
\(550\) 0.988558 1.36063i 0.0421523 0.0580176i
\(551\) −4.60173 43.7825i −0.196040 1.86520i
\(552\) 1.81965 5.77029i 0.0774496 0.245600i
\(553\) 1.01826 0.587895i 0.0433010 0.0249998i
\(554\) 11.5509 8.39220i 0.490750 0.356550i
\(555\) −10.3261 + 14.4753i −0.438319 + 0.614442i
\(556\) −3.15726 + 1.02586i −0.133898 + 0.0435060i
\(557\) −26.2553 −1.11247 −0.556236 0.831025i \(-0.687755\pi\)
−0.556236 + 0.831025i \(0.687755\pi\)
\(558\) −4.71629 + 16.0236i −0.199656 + 0.678334i
\(559\) 5.19184 0.219592
\(560\) −0.118187 + 0.0384014i −0.00499432 + 0.00162275i
\(561\) −0.465401 + 0.652405i −0.0196492 + 0.0275446i
\(562\) −21.8750 + 15.8931i −0.922739 + 0.670409i
\(563\) −22.6377 + 13.0699i −0.954065 + 0.550829i −0.894341 0.447386i \(-0.852355\pi\)
−0.0597234 + 0.998215i \(0.519022\pi\)
\(564\) −1.54290 + 4.89267i −0.0649677 + 0.206019i
\(565\) 0.272687 + 2.59445i 0.0114720 + 0.109149i
\(566\) 17.1985 23.6717i 0.722907 0.994997i
\(567\) 0.776777 + 0.804668i 0.0326216 + 0.0337929i
\(568\) −10.1444 + 11.2665i −0.425650 + 0.472732i
\(569\) 38.3574 + 17.0778i 1.60802 + 0.715938i 0.997125 0.0757705i \(-0.0241416\pi\)
0.610899 + 0.791709i \(0.290808\pi\)
\(570\) −0.0752502 8.66794i −0.00315189 0.363060i
\(571\) 4.52829 + 21.3039i 0.189503 + 0.891541i 0.965419 + 0.260704i \(0.0839548\pi\)
−0.775916 + 0.630836i \(0.782712\pi\)
\(572\) −0.818747 1.83894i −0.0342335 0.0768898i
\(573\) −3.94346 + 40.9349i −0.164741 + 1.71008i
\(574\) 0.210685 0.648422i 0.00879383 0.0270646i
\(575\) 3.19120 1.42081i 0.133082 0.0592520i
\(576\) −2.39607 + 1.80523i −0.0998363 + 0.0752178i
\(577\) −39.4837 8.39252i −1.64373 0.349385i −0.709127 0.705081i \(-0.750911\pi\)
−0.934602 + 0.355696i \(0.884244\pi\)
\(578\) 6.88374 15.4611i 0.286326 0.643098i
\(579\) 17.8288 + 10.0881i 0.740939 + 0.419248i
\(580\) −8.74840 0.919494i −0.363258 0.0381799i
\(581\) −0.555046 0.403265i −0.0230272 0.0167302i
\(582\) −2.42909 7.26089i −0.100689 0.300974i
\(583\) 7.40421 12.8245i 0.306651 0.531135i
\(584\) −2.84930 4.93512i −0.117905 0.204217i
\(585\) 1.74107 3.14030i 0.0719845 0.129836i
\(586\) 4.28300 + 4.75676i 0.176929 + 0.196500i
\(587\) −5.14243 15.8268i −0.212251 0.653240i −0.999337 0.0363979i \(-0.988412\pi\)
0.787087 0.616842i \(-0.211588\pi\)
\(588\) 2.61787 + 11.8110i 0.107959 + 0.487076i
\(589\) 11.6014 + 25.3346i 0.478027 + 1.04390i
\(590\) 1.21606i 0.0500643i
\(591\) −9.21875 + 5.42969i −0.379209 + 0.223348i
\(592\) 7.62901 6.86919i 0.313550 0.282322i
\(593\) 6.76870 + 9.31632i 0.277957 + 0.382575i 0.925056 0.379831i \(-0.124018\pi\)
−0.647099 + 0.762406i \(0.724018\pi\)
\(594\) 8.07339 + 3.34540i 0.331255 + 0.137263i
\(595\) 0.0296071 + 0.0170937i 0.00121377 + 0.000700772i
\(596\) −0.461203 + 0.0484744i −0.0188916 + 0.00198559i
\(597\) −29.9594 13.0283i −1.22616 0.533214i
\(598\) 0.437030 4.15806i 0.0178715 0.170036i
\(599\) −23.5745 21.2266i −0.963229 0.867295i 0.0279788 0.999609i \(-0.491093\pi\)
−0.991208 + 0.132313i \(0.957760\pi\)
\(600\) −1.69726 0.345392i −0.0692905 0.0141006i
\(601\) 1.28262 6.03427i 0.0523193 0.246143i −0.944215 0.329331i \(-0.893177\pi\)
0.996534 + 0.0831880i \(0.0265102\pi\)
\(602\) 0.527275 0.112076i 0.0214901 0.00456787i
\(603\) 12.8993 14.8362i 0.525301 0.604179i
\(604\) −0.857436 0.278598i −0.0348886 0.0113360i
\(605\) −7.77149 2.52511i −0.315956 0.102660i
\(606\) 7.97796 + 10.7826i 0.324082 + 0.438014i
\(607\) 2.00971 0.427176i 0.0815714 0.0173385i −0.166945 0.985966i \(-0.553390\pi\)
0.248517 + 0.968628i \(0.420057\pi\)
\(608\) −1.04052 + 4.89527i −0.0421987 + 0.198529i
\(609\) 0.377565 1.85536i 0.0152997 0.0751829i
\(610\) −2.27496 2.04838i −0.0921103 0.0829365i
\(611\) −0.370561 + 3.52565i −0.0149913 + 0.142633i
\(612\) 0.810142 + 0.157552i 0.0327481 + 0.00636867i
\(613\) −6.91022 + 0.726293i −0.279101 + 0.0293347i −0.243045 0.970015i \(-0.578146\pi\)
−0.0360562 + 0.999350i \(0.511480\pi\)
\(614\) −1.92723 1.11269i −0.0777766 0.0449044i
\(615\) 7.00643 6.41963i 0.282527 0.258864i
\(616\) −0.122847 0.169085i −0.00494967 0.00681263i
\(617\) −19.4144 + 17.4808i −0.781594 + 0.703750i −0.959936 0.280218i \(-0.909593\pi\)
0.178343 + 0.983968i \(0.442926\pi\)
\(618\) 9.00749 + 15.2933i 0.362334 + 0.615185i
\(619\) 1.16221i 0.0467132i −0.999727 0.0233566i \(-0.992565\pi\)
0.999727 0.0233566i \(-0.00743531\pi\)
\(620\) 5.43358 1.21498i 0.218218 0.0487946i
\(621\) 11.0478 + 14.4018i 0.443332 + 0.577925i
\(622\) 2.29858 + 7.07430i 0.0921647 + 0.283654i
\(623\) 0.739227 + 0.820995i 0.0296165 + 0.0328925i
\(624\) −1.37373 + 1.55257i −0.0549931 + 0.0621527i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 5.57094 9.64915i 0.222660 0.385658i
\(627\) 13.8254 4.62523i 0.552135 0.184714i
\(628\) −4.36647 3.17243i −0.174241 0.126594i
\(629\) −2.80873 0.295210i −0.111991 0.0117708i
\(630\) 0.109031 0.356508i 0.00434390 0.0142036i
\(631\) 8.12469 18.2484i 0.323439 0.726455i −0.676511 0.736432i \(-0.736509\pi\)
0.999950 + 0.00997672i \(0.00317574\pi\)
\(632\) −9.25486 1.96718i −0.368139 0.0782503i
\(633\) 15.3025 + 33.5823i 0.608219 + 1.33478i
\(634\) 24.4919 10.9045i 0.972698 0.433073i
\(635\) 1.66692 5.13026i 0.0661498 0.203588i
\(636\) −15.1803 1.46239i −0.601938 0.0579876i
\(637\) 3.40021 + 7.63699i 0.134721 + 0.302588i
\(638\) −3.07593 14.4711i −0.121777 0.572917i
\(639\) −10.2271 44.3170i −0.404580 1.75315i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 2.57987 2.86524i 0.101899 0.113170i −0.690038 0.723773i \(-0.742406\pi\)
0.791937 + 0.610603i \(0.209073\pi\)
\(642\) 27.0841 3.08460i 1.06892 0.121739i
\(643\) −10.5228 + 14.4834i −0.414978 + 0.571168i −0.964424 0.264362i \(-0.914839\pi\)
0.549446 + 0.835529i \(0.314839\pi\)
\(644\) −0.0453756 0.431720i −0.00178805 0.0170121i
\(645\) 7.16543 + 2.25961i 0.282139 + 0.0889721i
\(646\) 1.19235 0.688403i 0.0469124 0.0270849i
\(647\) −22.4104 + 16.2821i −0.881044 + 0.640116i −0.933527 0.358506i \(-0.883286\pi\)
0.0524834 + 0.998622i \(0.483286\pi\)
\(648\) −0.312461 8.99457i −0.0122746 0.353340i
\(649\) 1.94511 0.632005i 0.0763523 0.0248084i
\(650\) −1.19689 −0.0469458
\(651\) 0.148160 + 1.18922i 0.00580686 + 0.0466091i
\(652\) −13.7508 −0.538523
\(653\) 36.5076 11.8621i 1.42865 0.464198i 0.510314 0.859988i \(-0.329529\pi\)
0.918341 + 0.395790i \(0.129529\pi\)
\(654\) −24.5839 17.5372i −0.961308 0.685760i
\(655\) −1.33380 + 0.969064i −0.0521160 + 0.0378645i
\(656\) −4.75136 + 2.74320i −0.185509 + 0.107104i
\(657\) 17.0306 + 1.49154i 0.664426 + 0.0581906i
\(658\) 0.0384743 + 0.366059i 0.00149988 + 0.0142705i
\(659\) −21.2648 + 29.2685i −0.828360 + 1.14014i 0.159866 + 0.987139i \(0.448894\pi\)
−0.988226 + 0.153001i \(0.951106\pi\)
\(660\) −0.329632 2.89431i −0.0128309 0.112661i
\(661\) −33.7537 + 37.4873i −1.31287 + 1.45809i −0.512355 + 0.858774i \(0.671227\pi\)
−0.800514 + 0.599315i \(0.795440\pi\)
\(662\) −1.56523 0.696884i −0.0608342 0.0270852i
\(663\) 0.570294 0.00495097i 0.0221484 0.000192280i
\(664\) 1.14785 + 5.40022i 0.0445453 + 0.209569i
\(665\) −0.252959 0.568154i −0.00980931 0.0220321i
\(666\) 3.75050 + 30.5683i 0.145329 + 1.18450i
\(667\) 9.49556 29.2243i 0.367669 1.13157i
\(668\) 4.63160 2.06212i 0.179202 0.0797859i
\(669\) 21.5186 9.80540i 0.831956 0.379098i
\(670\) −6.41005 1.36250i −0.247642 0.0526379i
\(671\) 2.09410 4.70342i 0.0808417 0.181573i
\(672\) −0.105998 + 0.187331i −0.00408897 + 0.00722646i
\(673\) −50.7707 5.33621i −1.95707 0.205696i −0.959864 0.280465i \(-0.909511\pi\)
−0.997201 + 0.0747694i \(0.976178\pi\)
\(674\) −11.0550 8.03190i −0.425821 0.309377i
\(675\) 3.76964 3.57628i 0.145094 0.137651i
\(676\) 5.78373 10.0177i 0.222451 0.385297i
\(677\) −18.6373 32.2808i −0.716291 1.24065i −0.962460 0.271425i \(-0.912505\pi\)
0.246169 0.969227i \(-0.420828\pi\)
\(678\) 3.38399 + 2.99418i 0.129961 + 0.114991i
\(679\) −0.367571 0.408229i −0.0141061 0.0156664i
\(680\) −0.0850126 0.261642i −0.00326009 0.0100335i
\(681\) −16.4231 + 3.64013i −0.629335 + 0.139490i
\(682\) 4.76730 + 8.05969i 0.182549 + 0.308621i
\(683\) 32.4671i 1.24232i 0.783685 + 0.621159i \(0.213338\pi\)
−0.783685 + 0.621159i \(0.786662\pi\)
\(684\) −10.2384 10.9814i −0.391477 0.419884i
\(685\) 10.2224 9.20426i 0.390577 0.351677i
\(686\) 1.02148 + 1.40595i 0.0390004 + 0.0536795i
\(687\) 14.1163 + 15.4067i 0.538572 + 0.587801i
\(688\) −3.75664 2.16890i −0.143220 0.0826884i
\(689\) −10.4808 + 1.10157i −0.399285 + 0.0419666i
\(690\) 2.41284 5.54847i 0.0918554 0.211227i
\(691\) −1.28238 + 12.2010i −0.0487841 + 0.464149i 0.942673 + 0.333717i \(0.108303\pi\)
−0.991457 + 0.130432i \(0.958364\pi\)
\(692\) −17.5123 15.7681i −0.665718 0.599415i
\(693\) 0.626907 0.0108857i 0.0238142 0.000413515i
\(694\) 1.25638 5.91082i 0.0476916 0.224372i
\(695\) −3.24720 + 0.690213i −0.123173 + 0.0261813i
\(696\) −12.2481 + 9.06225i −0.464263 + 0.343504i
\(697\) 1.43547 + 0.466413i 0.0543724 + 0.0176667i
\(698\) 2.02339 + 0.657440i 0.0765865 + 0.0248845i
\(699\) 30.6878 22.7056i 1.16072 0.858805i
\(700\) −0.121554 + 0.0258371i −0.00459430 + 0.000976549i
\(701\) 10.5165 49.4760i 0.397201 1.86868i −0.0908443 0.995865i \(-0.528957\pi\)
0.488045 0.872818i \(-0.337710\pi\)
\(702\) −1.45102 6.04757i −0.0547652 0.228251i
\(703\) 38.1804 + 34.3777i 1.44000 + 1.29658i
\(704\) −0.175800 + 1.67262i −0.00662570 + 0.0630393i
\(705\) −2.04587 + 4.70459i −0.0770519 + 0.177185i
\(706\) 5.99751 0.630363i 0.225719 0.0237240i
\(707\) 0.833422 + 0.481176i 0.0313441 + 0.0180965i
\(708\) −1.42291 1.55297i −0.0534762 0.0583643i
\(709\) 12.7615 + 17.5646i 0.479267 + 0.659654i 0.978364 0.206892i \(-0.0663349\pi\)
−0.499097 + 0.866546i \(0.666335\pi\)
\(710\) −11.2665 + 10.1444i −0.422825 + 0.380713i
\(711\) 20.7611 19.3565i 0.778603 0.725927i
\(712\) 8.89002i 0.333168i
\(713\) 0.205124 + 19.4482i 0.00768196 + 0.728342i
\(714\) 0.0578112 0.0128137i 0.00216353 0.000479540i
\(715\) −0.622041 1.91444i −0.0232630 0.0715962i
\(716\) 0.0430558 + 0.0478183i 0.00160907 + 0.00178705i
\(717\) −5.37208 4.75325i −0.200624 0.177513i
\(718\) −2.87792 4.98471i −0.107403 0.186028i
\(719\) −12.0315 + 20.8391i −0.448698 + 0.777168i −0.998302 0.0582576i \(-0.981446\pi\)
0.549603 + 0.835426i \(0.314779\pi\)
\(720\) −2.57164 + 1.54488i −0.0958394 + 0.0575743i
\(721\) 1.03022 + 0.748498i 0.0383674 + 0.0278755i
\(722\) −6.01318 0.632011i −0.223788 0.0235210i
\(723\) −19.2603 + 34.0389i −0.716299 + 1.26592i
\(724\) −6.45933 + 14.5079i −0.240059 + 0.539182i
\(725\) −8.60437 1.82891i −0.319558 0.0679242i
\(726\) −12.8793 + 5.86871i −0.477994 + 0.217808i
\(727\) −18.1407 + 8.07676i −0.672801 + 0.299551i −0.714557 0.699577i \(-0.753372\pi\)
0.0417554 + 0.999128i \(0.486705\pi\)
\(728\) −0.0459621 + 0.141457i −0.00170347 + 0.00524273i
\(729\) 22.6401 + 14.7114i 0.838522 + 0.544868i
\(730\) −2.31783 5.20592i −0.0857866 0.192680i
\(731\) 0.248113 + 1.16728i 0.00917677 + 0.0431733i
\(732\) −5.30205 + 0.0460295i −0.195970 + 0.00170130i
\(733\) −29.3208 13.0545i −1.08299 0.482178i −0.213912 0.976853i \(-0.568620\pi\)
−0.869078 + 0.494675i \(0.835287\pi\)
\(734\) −16.5036 + 18.3291i −0.609157 + 0.676538i
\(735\) 1.36894 + 12.0199i 0.0504942 + 0.443361i
\(736\) −2.05325 + 2.82606i −0.0756839 + 0.104170i
\(737\) −1.15206 10.9611i −0.0424367 0.403758i
\(738\) 1.43600 16.3964i 0.0528600 0.603561i
\(739\) −27.1759 + 15.6900i −0.999682 + 0.577167i −0.908154 0.418636i \(-0.862508\pi\)
−0.0915279 + 0.995803i \(0.529175\pi\)
\(740\) 8.30524 6.03411i 0.305307 0.221818i
\(741\) −8.44612 6.02514i −0.310276 0.221339i
\(742\) −1.04063 + 0.338121i −0.0382027 + 0.0124128i
\(743\) 6.01158 0.220543 0.110272 0.993901i \(-0.464828\pi\)
0.110272 + 0.993901i \(0.464828\pi\)
\(744\) 5.51734 7.90942i 0.202276 0.289973i
\(745\) −0.463743 −0.0169902
\(746\) −15.3334 + 4.98212i −0.561395 + 0.182408i
\(747\) −15.2454 6.47291i −0.557799 0.236831i
\(748\) 0.374319 0.271959i 0.0136865 0.00994380i
\(749\) 1.69374 0.977882i 0.0618879 0.0357310i
\(750\) −1.65186 0.520913i −0.0603175 0.0190210i
\(751\) −3.89234 37.0332i −0.142034 1.35136i −0.800764 0.598980i \(-0.795573\pi\)
0.658731 0.752379i \(-0.271094\pi\)
\(752\) 1.74097 2.39624i 0.0634866 0.0873818i
\(753\) 12.3935 1.41150i 0.451646 0.0514378i
\(754\) −7.04496 + 7.82422i −0.256562 + 0.284941i
\(755\) −0.823618 0.366698i −0.0299745 0.0133455i
\(756\) −0.277911 0.582858i −0.0101075 0.0211983i
\(757\) −10.6619 50.1601i −0.387512 1.82310i −0.548509 0.836144i \(-0.684805\pi\)
0.160998 0.986955i \(-0.448529\pi\)
\(758\) 10.6944 + 24.0201i 0.388440 + 0.872450i
\(759\) 10.1289 + 0.975765i 0.367655 + 0.0354180i
\(760\) −1.54652 + 4.75968i −0.0560980 + 0.172652i
\(761\) −6.71094 + 2.98790i −0.243271 + 0.108311i −0.524751 0.851256i \(-0.675842\pi\)
0.281479 + 0.959567i \(0.409175\pi\)
\(762\) −3.87416 8.50209i −0.140346 0.307998i
\(763\) −2.11928 0.450466i −0.0767229 0.0163080i
\(764\) 9.65723 21.6905i 0.349386 0.784735i
\(765\) 0.789236 + 0.241372i 0.0285349 + 0.00872682i
\(766\) −3.78259 0.397566i −0.136670 0.0143646i
\(767\) −1.17751 0.855512i −0.0425175 0.0308908i
\(768\) 1.64257 0.549513i 0.0592711 0.0198288i
\(769\) 2.58049 4.46955i 0.0930550 0.161176i −0.815740 0.578418i \(-0.803670\pi\)
0.908795 + 0.417242i \(0.137003\pi\)
\(770\) −0.104500 0.181000i −0.00376593 0.00652278i
\(771\) −6.67935 + 7.54894i −0.240551 + 0.271869i
\(772\) −7.91383 8.78919i −0.284825 0.316330i
\(773\) 12.2154 + 37.5953i 0.439359 +