Properties

Label 322.2.i.d.29.2
Level $322$
Weight $2$
Character 322.29
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 29.2
Character \(\chi\) \(=\) 322.29
Dual form 322.2.i.d.211.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.415415 - 0.909632i) q^{2} +(-2.34488 - 0.688518i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(3.30897 - 2.12655i) q^{5} +(-1.60040 + 1.84696i) q^{6} +(0.142315 - 0.989821i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(2.50063 + 1.60706i) q^{9} +O(q^{10})\) \(q+(0.415415 - 0.909632i) q^{2} +(-2.34488 - 0.688518i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(3.30897 - 2.12655i) q^{5} +(-1.60040 + 1.84696i) q^{6} +(0.142315 - 0.989821i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(2.50063 + 1.60706i) q^{9} +(-0.559779 - 3.89335i) q^{10} +(-0.709559 - 1.55372i) q^{11} +(1.01522 + 2.22302i) q^{12} +(0.236236 + 1.64306i) q^{13} +(-0.841254 - 0.540641i) q^{14} +(-9.22331 + 2.70821i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(0.789136 - 0.910712i) q^{17} +(2.50063 - 1.60706i) q^{18} +(-4.52344 - 5.22033i) q^{19} +(-3.77405 - 1.10816i) q^{20} +(-1.01522 + 2.22302i) q^{21} -1.70807 q^{22} +(-4.22900 + 2.26177i) q^{23} +2.44387 q^{24} +(4.35002 - 9.52522i) q^{25} +(1.59271 + 0.467662i) q^{26} +(0.0439942 + 0.0507720i) q^{27} +(-0.841254 + 0.540641i) q^{28} +(-5.81739 + 6.71362i) q^{29} +(-1.36803 + 9.51485i) q^{30} +(3.71059 - 1.08953i) q^{31} +(0.841254 + 0.540641i) q^{32} +(0.594066 + 4.13182i) q^{33} +(-0.500594 - 1.09615i) q^{34} +(-1.63399 - 3.57793i) q^{35} +(-0.423032 - 2.94225i) q^{36} +(-4.57912 - 2.94282i) q^{37} +(-6.62768 + 1.94606i) q^{38} +(0.577330 - 4.01542i) q^{39} +(-2.57582 + 2.97265i) q^{40} +(9.12128 - 5.86189i) q^{41} +(1.60040 + 1.84696i) q^{42} +(7.57469 + 2.22413i) q^{43} +(-0.709559 + 1.55372i) q^{44} +11.6920 q^{45} +(0.300589 + 4.78640i) q^{46} +10.8331 q^{47} +(1.01522 - 2.22302i) q^{48} +(-0.959493 - 0.281733i) q^{49} +(-6.85738 - 7.91384i) q^{50} +(-2.47747 + 1.59217i) q^{51} +(1.08704 - 1.25451i) q^{52} +(-0.0724635 + 0.503995i) q^{53} +(0.0644597 - 0.0189271i) q^{54} +(-5.65197 - 3.63230i) q^{55} +(0.142315 + 0.989821i) q^{56} +(7.01263 + 15.3555i) q^{57} +(3.69030 + 8.08062i) q^{58} +(0.267207 + 1.85847i) q^{59} +(8.08671 + 5.19701i) q^{60} +(8.34071 - 2.44905i) q^{61} +(0.550365 - 3.82787i) q^{62} +(1.94658 - 2.24647i) q^{63} +(0.841254 - 0.540641i) q^{64} +(4.27573 + 4.93446i) q^{65} +(4.00522 + 1.17604i) q^{66} +(-0.817784 + 1.79070i) q^{67} -1.20504 q^{68} +(11.4737 - 2.39183i) q^{69} -3.93338 q^{70} +(3.12425 - 6.84115i) q^{71} +(-2.85210 - 0.837453i) q^{72} +(7.09559 + 8.18875i) q^{73} +(-4.57912 + 2.94282i) q^{74} +(-16.7586 + 19.3404i) q^{75} +(-0.983038 + 6.83718i) q^{76} +(-1.63888 + 0.481220i) q^{77} +(-3.41272 - 2.19322i) q^{78} +(0.490637 + 3.41246i) q^{79} +(1.63399 + 3.57793i) q^{80} +(-3.77268 - 8.26102i) q^{81} +(-1.54305 - 10.7321i) q^{82} +(-2.06514 - 1.32719i) q^{83} +(2.34488 - 0.688518i) q^{84} +(0.674559 - 4.69166i) q^{85} +(5.16978 - 5.96624i) q^{86} +(18.2635 - 11.7373i) q^{87} +(1.11855 + 1.29087i) q^{88} +(-8.28631 - 2.43308i) q^{89} +(4.85704 - 10.6354i) q^{90} +1.65995 q^{91} +(4.47873 + 1.71492i) q^{92} -9.45103 q^{93} +(4.50022 - 9.85411i) q^{94} +(-26.0692 - 7.65462i) q^{95} +(-1.60040 - 1.84696i) q^{96} +(0.500548 - 0.321683i) q^{97} +(-0.654861 + 0.755750i) q^{98} +(0.722570 - 5.02558i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} + O(q^{10}) \) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} - 2q^{10} + 6q^{11} + 2q^{13} + 4q^{14} - 3q^{15} - 4q^{16} - 13q^{17} - 8q^{18} - 22q^{19} - 2q^{20} - 16q^{22} - 9q^{23} + 22q^{24} - 15q^{25} - 9q^{26} + 21q^{27} + 4q^{28} - 10q^{29} - 14q^{30} - 2q^{31} - 4q^{32} + 8q^{33} - 2q^{34} + 13q^{35} - 8q^{36} - 45q^{37} + 11q^{38} - 22q^{39} + 9q^{40} + 21q^{41} + 31q^{43} + 6q^{44} + 2q^{45} - 9q^{46} + 64q^{47} - 4q^{49} + 7q^{50} + 65q^{51} + 2q^{52} + 69q^{53} + 21q^{54} - 74q^{55} + 4q^{56} - 68q^{57} + 12q^{58} + 48q^{59} - 3q^{60} + 6q^{61} - 13q^{62} + 8q^{63} - 4q^{64} - 64q^{65} - 69q^{66} + 31q^{67} - 2q^{68} - 62q^{69} + 2q^{70} - 57q^{71} - 19q^{72} + 70q^{73} - 45q^{74} - 11q^{75} + 22q^{76} - 6q^{77} + 33q^{78} + 34q^{79} - 13q^{80} + 30q^{81} - 12q^{82} - 56q^{83} - 17q^{85} + 42q^{86} - 3q^{87} + 6q^{88} + 16q^{89} + 46q^{90} - 46q^{91} + 24q^{92} + 48q^{93} + 9q^{94} - 42q^{95} - 36q^{97} - 4q^{98} + 112q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 0.909632i 0.293743 0.643207i
\(3\) −2.34488 0.688518i −1.35382 0.397516i −0.477237 0.878775i \(-0.658362\pi\)
−0.876579 + 0.481258i \(0.840180\pi\)
\(4\) −0.654861 0.755750i −0.327430 0.377875i
\(5\) 3.30897 2.12655i 1.47982 0.951021i 0.482650 0.875813i \(-0.339674\pi\)
0.997168 0.0752081i \(-0.0239621\pi\)
\(6\) −1.60040 + 1.84696i −0.653359 + 0.754016i
\(7\) 0.142315 0.989821i 0.0537900 0.374117i
\(8\) −0.959493 + 0.281733i −0.339232 + 0.0996075i
\(9\) 2.50063 + 1.60706i 0.833545 + 0.535687i
\(10\) −0.559779 3.89335i −0.177018 1.23118i
\(11\) −0.709559 1.55372i −0.213940 0.468463i 0.771987 0.635638i \(-0.219263\pi\)
−0.985927 + 0.167175i \(0.946536\pi\)
\(12\) 1.01522 + 2.22302i 0.293069 + 0.641732i
\(13\) 0.236236 + 1.64306i 0.0655200 + 0.455702i 0.996000 + 0.0893579i \(0.0284815\pi\)
−0.930480 + 0.366344i \(0.880609\pi\)
\(14\) −0.841254 0.540641i −0.224834 0.144492i
\(15\) −9.22331 + 2.70821i −2.38145 + 0.699256i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) 0.789136 0.910712i 0.191394 0.220880i −0.651940 0.758271i \(-0.726044\pi\)
0.843333 + 0.537391i \(0.180590\pi\)
\(18\) 2.50063 1.60706i 0.589405 0.378788i
\(19\) −4.52344 5.22033i −1.03775 1.19763i −0.979939 0.199298i \(-0.936134\pi\)
−0.0578098 0.998328i \(-0.518412\pi\)
\(20\) −3.77405 1.10816i −0.843904 0.247793i
\(21\) −1.01522 + 2.22302i −0.221539 + 0.485104i
\(22\) −1.70807 −0.364162
\(23\) −4.22900 + 2.26177i −0.881806 + 0.471611i
\(24\) 2.44387 0.498853
\(25\) 4.35002 9.52522i 0.870005 1.90504i
\(26\) 1.59271 + 0.467662i 0.312356 + 0.0917161i
\(27\) 0.0439942 + 0.0507720i 0.00846669 + 0.00977108i
\(28\) −0.841254 + 0.540641i −0.158982 + 0.102172i
\(29\) −5.81739 + 6.71362i −1.08026 + 1.24669i −0.112815 + 0.993616i \(0.535987\pi\)
−0.967447 + 0.253073i \(0.918559\pi\)
\(30\) −1.36803 + 9.51485i −0.249767 + 1.73717i
\(31\) 3.71059 1.08953i 0.666441 0.195685i 0.0690233 0.997615i \(-0.478012\pi\)
0.597418 + 0.801930i \(0.296194\pi\)
\(32\) 0.841254 + 0.540641i 0.148714 + 0.0955727i
\(33\) 0.594066 + 4.13182i 0.103414 + 0.719258i
\(34\) −0.500594 1.09615i −0.0858511 0.187988i
\(35\) −1.63399 3.57793i −0.276194 0.604781i
\(36\) −0.423032 2.94225i −0.0705054 0.490376i
\(37\) −4.57912 2.94282i −0.752803 0.483797i 0.107104 0.994248i \(-0.465842\pi\)
−0.859907 + 0.510451i \(0.829479\pi\)
\(38\) −6.62768 + 1.94606i −1.07515 + 0.315693i
\(39\) 0.577330 4.01542i 0.0924468 0.642981i
\(40\) −2.57582 + 2.97265i −0.407273 + 0.470018i
\(41\) 9.12128 5.86189i 1.42450 0.915474i 0.424555 0.905402i \(-0.360430\pi\)
0.999949 0.0100716i \(-0.00320596\pi\)
\(42\) 1.60040 + 1.84696i 0.246946 + 0.284991i
\(43\) 7.57469 + 2.22413i 1.15513 + 0.339176i 0.802538 0.596601i \(-0.203483\pi\)
0.352591 + 0.935778i \(0.385301\pi\)
\(44\) −0.709559 + 1.55372i −0.106970 + 0.234232i
\(45\) 11.6920 1.74294
\(46\) 0.300589 + 4.78640i 0.0443195 + 0.705717i
\(47\) 10.8331 1.58017 0.790083 0.613000i \(-0.210037\pi\)
0.790083 + 0.613000i \(0.210037\pi\)
\(48\) 1.01522 2.22302i 0.146535 0.320866i
\(49\) −0.959493 0.281733i −0.137070 0.0402475i
\(50\) −6.85738 7.91384i −0.969780 1.11919i
\(51\) −2.47747 + 1.59217i −0.346915 + 0.222949i
\(52\) 1.08704 1.25451i 0.150745 0.173969i
\(53\) −0.0724635 + 0.503995i −0.00995363 + 0.0692290i −0.994193 0.107613i \(-0.965679\pi\)
0.984239 + 0.176842i \(0.0565883\pi\)
\(54\) 0.0644597 0.0189271i 0.00877186 0.00257565i
\(55\) −5.65197 3.63230i −0.762111 0.489779i
\(56\) 0.142315 + 0.989821i 0.0190176 + 0.132270i
\(57\) 7.01263 + 15.3555i 0.928845 + 2.03389i
\(58\) 3.69030 + 8.08062i 0.484560 + 1.06104i
\(59\) 0.267207 + 1.85847i 0.0347874 + 0.241952i 0.999795 0.0202721i \(-0.00645324\pi\)
−0.965007 + 0.262224i \(0.915544\pi\)
\(60\) 8.08671 + 5.19701i 1.04399 + 0.670931i
\(61\) 8.34071 2.44905i 1.06792 0.313569i 0.299883 0.953976i \(-0.403052\pi\)
0.768036 + 0.640407i \(0.221234\pi\)
\(62\) 0.550365 3.82787i 0.0698964 0.486140i
\(63\) 1.94658 2.24647i 0.245246 0.283029i
\(64\) 0.841254 0.540641i 0.105157 0.0675801i
\(65\) 4.27573 + 4.93446i 0.530340 + 0.612045i
\(66\) 4.00522 + 1.17604i 0.493009 + 0.144760i
\(67\) −0.817784 + 1.79070i −0.0999082 + 0.218769i −0.952985 0.303016i \(-0.902006\pi\)
0.853077 + 0.521785i \(0.174734\pi\)
\(68\) −1.20504 −0.146133
\(69\) 11.4737 2.39183i 1.38128 0.287943i
\(70\) −3.93338 −0.470129
\(71\) 3.12425 6.84115i 0.370780 0.811895i −0.628635 0.777700i \(-0.716386\pi\)
0.999415 0.0341949i \(-0.0108867\pi\)
\(72\) −2.85210 0.837453i −0.336124 0.0986948i
\(73\) 7.09559 + 8.18875i 0.830476 + 0.958421i 0.999631 0.0271687i \(-0.00864912\pi\)
−0.169154 + 0.985590i \(0.554104\pi\)
\(74\) −4.57912 + 2.94282i −0.532312 + 0.342096i
\(75\) −16.7586 + 19.3404i −1.93511 + 2.23324i
\(76\) −0.983038 + 6.83718i −0.112762 + 0.784278i
\(77\) −1.63888 + 0.481220i −0.186768 + 0.0548401i
\(78\) −3.41272 2.19322i −0.386415 0.248334i
\(79\) 0.490637 + 3.41246i 0.0552010 + 0.383932i 0.998629 + 0.0523530i \(0.0166721\pi\)
−0.943428 + 0.331579i \(0.892419\pi\)
\(80\) 1.63399 + 3.57793i 0.182685 + 0.400025i
\(81\) −3.77268 8.26102i −0.419187 0.917891i
\(82\) −1.54305 10.7321i −0.170401 1.18517i
\(83\) −2.06514 1.32719i −0.226679 0.145678i 0.422372 0.906422i \(-0.361198\pi\)
−0.649051 + 0.760745i \(0.724834\pi\)
\(84\) 2.34488 0.688518i 0.255847 0.0751235i
\(85\) 0.674559 4.69166i 0.0731661 0.508882i
\(86\) 5.16978 5.96624i 0.557471 0.643356i
\(87\) 18.2635 11.7373i 1.95805 1.25837i
\(88\) 1.11855 + 1.29087i 0.119238 + 0.137608i
\(89\) −8.28631 2.43308i −0.878347 0.257906i −0.188685 0.982038i \(-0.560423\pi\)
−0.689662 + 0.724132i \(0.742241\pi\)
\(90\) 4.85704 10.6354i 0.511977 1.12107i
\(91\) 1.65995 0.174010
\(92\) 4.47873 + 1.71492i 0.466940 + 0.178793i
\(93\) −9.45103 −0.980026
\(94\) 4.50022 9.85411i 0.464162 1.01637i
\(95\) −26.0692 7.65462i −2.67465 0.785347i
\(96\) −1.60040 1.84696i −0.163340 0.188504i
\(97\) 0.500548 0.321683i 0.0508230 0.0326620i −0.514983 0.857201i \(-0.672202\pi\)
0.565806 + 0.824539i \(0.308565\pi\)
\(98\) −0.654861 + 0.755750i −0.0661509 + 0.0763422i
\(99\) 0.722570 5.02558i 0.0726210 0.505090i
\(100\) −10.0473 + 2.95017i −1.00473 + 0.295017i
\(101\) −9.26849 5.95650i −0.922249 0.592694i −0.00893985 0.999960i \(-0.502846\pi\)
−0.913309 + 0.407266i \(0.866482\pi\)
\(102\) 0.419114 + 2.91500i 0.0414984 + 0.288628i
\(103\) −2.38468 5.22173i −0.234970 0.514512i 0.755011 0.655712i \(-0.227631\pi\)
−0.989981 + 0.141199i \(0.954904\pi\)
\(104\) −0.689569 1.50995i −0.0676178 0.148062i
\(105\) 1.36803 + 9.51485i 0.133506 + 0.928554i
\(106\) 0.428347 + 0.275282i 0.0416048 + 0.0267378i
\(107\) −5.53911 + 1.62643i −0.535486 + 0.157233i −0.538285 0.842763i \(-0.680927\pi\)
0.00279831 + 0.999996i \(0.499109\pi\)
\(108\) 0.00956086 0.0664972i 0.000919994 0.00639870i
\(109\) 7.77436 8.97209i 0.744649 0.859370i −0.249389 0.968403i \(-0.580230\pi\)
0.994038 + 0.109033i \(0.0347754\pi\)
\(110\) −5.65197 + 3.63230i −0.538894 + 0.346326i
\(111\) 8.71129 + 10.0534i 0.826839 + 0.954224i
\(112\) 0.959493 + 0.281733i 0.0906636 + 0.0266212i
\(113\) −6.77975 + 14.8456i −0.637785 + 1.39655i 0.264065 + 0.964505i \(0.414937\pi\)
−0.901850 + 0.432049i \(0.857791\pi\)
\(114\) 16.8810 1.58105
\(115\) −9.18387 + 16.4773i −0.856401 + 1.53652i
\(116\) 8.88340 0.824803
\(117\) −2.04975 + 4.48833i −0.189499 + 0.414946i
\(118\) 1.80152 + 0.528975i 0.165844 + 0.0486961i
\(119\) −0.789136 0.910712i −0.0723400 0.0834848i
\(120\) 8.08671 5.19701i 0.738212 0.474420i
\(121\) 5.29291 6.10834i 0.481173 0.555303i
\(122\) 1.23712 8.60435i 0.112004 0.779002i
\(123\) −25.4243 + 7.46525i −2.29243 + 0.673119i
\(124\) −3.25333 2.09079i −0.292157 0.187758i
\(125\) −3.06284 21.3025i −0.273949 1.90535i
\(126\) −1.23483 2.70389i −0.110007 0.240882i
\(127\) 8.69083 + 19.0303i 0.771186 + 1.68866i 0.724024 + 0.689775i \(0.242290\pi\)
0.0471621 + 0.998887i \(0.484982\pi\)
\(128\) −0.142315 0.989821i −0.0125790 0.0874887i
\(129\) −16.2304 10.4306i −1.42900 0.918365i
\(130\) 6.26475 1.83950i 0.549455 0.161334i
\(131\) 0.275375 1.91528i 0.0240596 0.167338i −0.974249 0.225475i \(-0.927607\pi\)
0.998309 + 0.0581363i \(0.0185158\pi\)
\(132\) 2.73359 3.15473i 0.237929 0.274584i
\(133\) −5.81095 + 3.73447i −0.503873 + 0.323820i
\(134\) 1.28916 + 1.48777i 0.111366 + 0.128523i
\(135\) 0.253545 + 0.0744475i 0.0218217 + 0.00640742i
\(136\) −0.500594 + 1.09615i −0.0429255 + 0.0939938i
\(137\) 8.30571 0.709605 0.354803 0.934941i \(-0.384548\pi\)
0.354803 + 0.934941i \(0.384548\pi\)
\(138\) 2.59068 11.4305i 0.220533 0.973028i
\(139\) 19.0588 1.61655 0.808274 0.588806i \(-0.200402\pi\)
0.808274 + 0.588806i \(0.200402\pi\)
\(140\) −1.63399 + 3.57793i −0.138097 + 0.302390i
\(141\) −25.4022 7.45877i −2.13925 0.628142i
\(142\) −4.92507 5.68383i −0.413303 0.476977i
\(143\) 2.38522 1.53289i 0.199462 0.128187i
\(144\) −1.94658 + 2.24647i −0.162215 + 0.187206i
\(145\) −4.97274 + 34.5862i −0.412964 + 2.87222i
\(146\) 10.3964 3.05265i 0.860409 0.252639i
\(147\) 2.05592 + 1.32126i 0.169569 + 0.108975i
\(148\) 0.774650 + 5.38781i 0.0636758 + 0.442875i
\(149\) −2.81446 6.16280i −0.230569 0.504876i 0.758618 0.651536i \(-0.225875\pi\)
−0.989187 + 0.146660i \(0.953148\pi\)
\(150\) 10.6309 + 23.2784i 0.868010 + 1.90068i
\(151\) 1.92505 + 13.3890i 0.156659 + 1.08958i 0.904736 + 0.425973i \(0.140068\pi\)
−0.748077 + 0.663612i \(0.769023\pi\)
\(152\) 5.81095 + 3.73447i 0.471330 + 0.302905i
\(153\) 3.43691 1.00917i 0.277858 0.0815864i
\(154\) −0.243084 + 1.69069i −0.0195883 + 0.136239i
\(155\) 9.96130 11.4960i 0.800111 0.923377i
\(156\) −3.41272 + 2.19322i −0.273236 + 0.175598i
\(157\) 9.66219 + 11.1508i 0.771127 + 0.889928i 0.996435 0.0843596i \(-0.0268845\pi\)
−0.225309 + 0.974287i \(0.572339\pi\)
\(158\) 3.30790 + 0.971287i 0.263162 + 0.0772714i
\(159\) 0.516928 1.13191i 0.0409950 0.0897666i
\(160\) 3.93338 0.310961
\(161\) 1.63690 + 4.50783i 0.129006 + 0.355267i
\(162\) −9.08171 −0.713527
\(163\) −5.01451 + 10.9802i −0.392767 + 0.860039i 0.605186 + 0.796084i \(0.293099\pi\)
−0.997953 + 0.0639550i \(0.979629\pi\)
\(164\) −10.4033 3.05468i −0.812360 0.238531i
\(165\) 10.7523 + 12.4088i 0.837063 + 0.966022i
\(166\) −2.06514 + 1.32719i −0.160286 + 0.103010i
\(167\) 2.25737 2.60514i 0.174680 0.201592i −0.661658 0.749806i \(-0.730147\pi\)
0.836338 + 0.548214i \(0.184692\pi\)
\(168\) 0.347799 2.41900i 0.0268333 0.186630i
\(169\) 9.82958 2.88623i 0.756122 0.222017i
\(170\) −3.98746 2.56259i −0.305824 0.196541i
\(171\) −2.92209 20.3236i −0.223458 1.55418i
\(172\) −3.27948 7.18106i −0.250058 0.547551i
\(173\) −0.275780 0.603874i −0.0209672 0.0459117i 0.898859 0.438239i \(-0.144397\pi\)
−0.919826 + 0.392327i \(0.871670\pi\)
\(174\) −3.08964 21.4889i −0.234225 1.62907i
\(175\) −8.80920 5.66133i −0.665913 0.427956i
\(176\) 1.63888 0.481220i 0.123535 0.0362733i
\(177\) 0.653020 4.54185i 0.0490840 0.341387i
\(178\) −5.65546 + 6.52675i −0.423895 + 0.489201i
\(179\) 16.0692 10.3271i 1.20107 0.771880i 0.221928 0.975063i \(-0.428765\pi\)
0.979141 + 0.203183i \(0.0651286\pi\)
\(180\) −7.65665 8.83624i −0.570693 0.658615i
\(181\) −13.2545 3.89188i −0.985201 0.289281i −0.250831 0.968031i \(-0.580704\pi\)
−0.734370 + 0.678750i \(0.762522\pi\)
\(182\) 0.689569 1.50995i 0.0511142 0.111925i
\(183\) −21.2442 −1.57041
\(184\) 3.42048 3.36160i 0.252161 0.247820i
\(185\) −21.4102 −1.57411
\(186\) −3.92610 + 8.59696i −0.287876 + 0.630360i
\(187\) −1.97493 0.579891i −0.144421 0.0424058i
\(188\) −7.09415 8.18709i −0.517394 0.597105i
\(189\) 0.0565163 0.0363208i 0.00411095 0.00264195i
\(190\) −17.7924 + 20.5336i −1.29080 + 1.48966i
\(191\) −2.12967 + 14.8122i −0.154098 + 1.07177i 0.755160 + 0.655540i \(0.227559\pi\)
−0.909258 + 0.416233i \(0.863350\pi\)
\(192\) −2.34488 + 0.688518i −0.169227 + 0.0496895i
\(193\) 6.73490 + 4.32826i 0.484789 + 0.311555i 0.760107 0.649798i \(-0.225147\pi\)
−0.275318 + 0.961353i \(0.588783\pi\)
\(194\) −0.0846778 0.588947i −0.00607951 0.0422839i
\(195\) −6.62861 14.5146i −0.474685 1.03941i
\(196\) 0.415415 + 0.909632i 0.0296725 + 0.0649737i
\(197\) −2.07367 14.4227i −0.147743 1.02758i −0.919903 0.392147i \(-0.871733\pi\)
0.772160 0.635429i \(-0.219177\pi\)
\(198\) −4.27126 2.74498i −0.303546 0.195077i
\(199\) 1.33729 0.392664i 0.0947981 0.0278352i −0.233990 0.972239i \(-0.575178\pi\)
0.328788 + 0.944404i \(0.393360\pi\)
\(200\) −1.49025 + 10.3649i −0.105377 + 0.732911i
\(201\) 3.15053 3.63591i 0.222221 0.256457i
\(202\) −9.26849 + 5.95650i −0.652129 + 0.419098i
\(203\) 5.81739 + 6.71362i 0.408301 + 0.471204i
\(204\) 2.82568 + 0.829695i 0.197837 + 0.0580903i
\(205\) 17.7165 38.7937i 1.23737 2.70947i
\(206\) −5.74049 −0.399959
\(207\) −14.2100 1.14039i −0.987661 0.0792628i
\(208\) −1.65995 −0.115097
\(209\) −4.90127 + 10.7323i −0.339028 + 0.742367i
\(210\) 9.22331 + 2.70821i 0.636469 + 0.186884i
\(211\) −4.99541 5.76502i −0.343899 0.396880i 0.557282 0.830323i \(-0.311844\pi\)
−0.901181 + 0.433443i \(0.857299\pi\)
\(212\) 0.428347 0.275282i 0.0294190 0.0189065i
\(213\) −12.0362 + 13.8906i −0.824710 + 0.951766i
\(214\) −0.821578 + 5.71420i −0.0561619 + 0.390615i
\(215\) 29.7942 8.74835i 2.03194 0.596633i
\(216\) −0.0565163 0.0363208i −0.00384545 0.00247132i
\(217\) −0.550365 3.82787i −0.0373612 0.259853i
\(218\) −4.93171 10.7989i −0.334018 0.731397i
\(219\) −11.0002 24.0871i −0.743324 1.62765i
\(220\) 0.956143 + 6.65012i 0.0644631 + 0.448351i
\(221\) 1.68277 + 1.08145i 0.113196 + 0.0727463i
\(222\) 12.7637 3.74775i 0.856641 0.251533i
\(223\) −2.64677 + 18.4087i −0.177241 + 1.23274i 0.685871 + 0.727723i \(0.259421\pi\)
−0.863112 + 0.505013i \(0.831488\pi\)
\(224\) 0.654861 0.755750i 0.0437547 0.0504956i
\(225\) 26.1854 16.8284i 1.74570 1.12189i
\(226\) 10.6876 + 12.3341i 0.710929 + 0.820455i
\(227\) −23.5259 6.90783i −1.56147 0.458489i −0.616965 0.786990i \(-0.711638\pi\)
−0.944503 + 0.328502i \(0.893456\pi\)
\(228\) 7.01263 15.3555i 0.464423 1.01694i
\(229\) −18.5146 −1.22348 −0.611739 0.791060i \(-0.709530\pi\)
−0.611739 + 0.791060i \(0.709530\pi\)
\(230\) 11.1732 + 15.1989i 0.736736 + 1.00218i
\(231\) 4.17431 0.274649
\(232\) 3.69030 8.08062i 0.242280 0.530519i
\(233\) 7.55570 + 2.21855i 0.494990 + 0.145342i 0.519694 0.854353i \(-0.326046\pi\)
−0.0247035 + 0.999695i \(0.507864\pi\)
\(234\) 3.23123 + 3.72904i 0.211232 + 0.243775i
\(235\) 35.8464 23.0371i 2.33836 1.50277i
\(236\) 1.22955 1.41898i 0.0800370 0.0923676i
\(237\) 1.19906 8.33961i 0.0778870 0.541716i
\(238\) −1.15623 + 0.339500i −0.0749474 + 0.0220065i
\(239\) −4.93246 3.16990i −0.319055 0.205044i 0.371304 0.928511i \(-0.378911\pi\)
−0.690358 + 0.723467i \(0.742547\pi\)
\(240\) −1.36803 9.51485i −0.0883058 0.614181i
\(241\) −0.459695 1.00659i −0.0296115 0.0648402i 0.894248 0.447571i \(-0.147711\pi\)
−0.923860 + 0.382731i \(0.874984\pi\)
\(242\) −3.35759 7.35209i −0.215834 0.472610i
\(243\) 3.12993 + 21.7691i 0.200785 + 1.39649i
\(244\) −7.31288 4.69970i −0.468159 0.300868i
\(245\) −3.77405 + 1.10816i −0.241116 + 0.0707979i
\(246\) −3.77101 + 26.2279i −0.240431 + 1.67223i
\(247\) 7.50869 8.66549i 0.477767 0.551372i
\(248\) −3.25333 + 2.09079i −0.206586 + 0.132765i
\(249\) 3.92872 + 4.53398i 0.248972 + 0.287329i
\(250\) −20.6498 6.06333i −1.30601 0.383478i
\(251\) −4.06410 + 8.89915i −0.256524 + 0.561709i −0.993450 0.114264i \(-0.963549\pi\)
0.736926 + 0.675973i \(0.236276\pi\)
\(252\) −2.97251 −0.187251
\(253\) 6.51487 + 4.96580i 0.409586 + 0.312197i
\(254\) 20.9208 1.31269
\(255\) −4.81205 + 10.5369i −0.301342 + 0.659847i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 14.0308 + 16.1924i 0.875219 + 1.01006i 0.999841 + 0.0178522i \(0.00568285\pi\)
−0.124622 + 0.992204i \(0.539772\pi\)
\(258\) −16.2304 + 10.4306i −1.01046 + 0.649382i
\(259\) −3.56455 + 4.11371i −0.221490 + 0.255613i
\(260\) 0.929206 6.46277i 0.0576269 0.400804i
\(261\) −25.3364 + 7.43943i −1.56828 + 0.460489i
\(262\) −1.62780 1.04612i −0.100566 0.0646298i
\(263\) −2.54516 17.7019i −0.156941 1.09155i −0.904229 0.427048i \(-0.859553\pi\)
0.747288 0.664500i \(-0.231356\pi\)
\(264\) −1.73407 3.79709i −0.106725 0.233694i
\(265\) 0.831989 + 1.82180i 0.0511087 + 0.111912i
\(266\) 0.983038 + 6.83718i 0.0602739 + 0.419214i
\(267\) 17.7552 + 11.4105i 1.08660 + 0.698314i
\(268\) 1.88885 0.554617i 0.115380 0.0338787i
\(269\) −1.93818 + 13.4804i −0.118173 + 0.821912i 0.841392 + 0.540425i \(0.181737\pi\)
−0.959565 + 0.281487i \(0.909172\pi\)
\(270\) 0.173046 0.199706i 0.0105313 0.0121537i
\(271\) −8.91298 + 5.72803i −0.541425 + 0.347953i −0.782596 0.622530i \(-0.786105\pi\)
0.241171 + 0.970483i \(0.422469\pi\)
\(272\) 0.789136 + 0.910712i 0.0478484 + 0.0552200i
\(273\) −3.89238 1.14291i −0.235578 0.0691719i
\(274\) 3.45032 7.55514i 0.208441 0.456423i
\(275\) −17.8861 −1.07857
\(276\) −9.32133 7.10496i −0.561078 0.427669i
\(277\) 5.83581 0.350640 0.175320 0.984512i \(-0.443904\pi\)
0.175320 + 0.984512i \(0.443904\pi\)
\(278\) 7.91732 17.3365i 0.474850 1.03978i
\(279\) 11.0298 + 3.23863i 0.660334 + 0.193892i
\(280\) 2.57582 + 2.97265i 0.153935 + 0.177650i
\(281\) −12.1260 + 7.79291i −0.723377 + 0.464886i −0.849810 0.527089i \(-0.823283\pi\)
0.126433 + 0.991975i \(0.459647\pi\)
\(282\) −17.3372 + 20.0082i −1.03242 + 1.19147i
\(283\) 3.03154 21.0848i 0.180206 1.25336i −0.676068 0.736839i \(-0.736317\pi\)
0.856274 0.516522i \(-0.172774\pi\)
\(284\) −7.21615 + 2.11885i −0.428199 + 0.125731i
\(285\) 55.8588 + 35.8983i 3.30879 + 2.12643i
\(286\) −0.403508 2.80646i −0.0238599 0.165949i
\(287\) −4.50413 9.86267i −0.265871 0.582175i
\(288\) 1.23483 + 2.70389i 0.0727628 + 0.159328i
\(289\) 2.21269 + 15.3896i 0.130158 + 0.905271i
\(290\) 29.3949 + 18.8910i 1.72613 + 1.10932i
\(291\) −1.39521 + 0.409671i −0.0817886 + 0.0240153i
\(292\) 1.54202 10.7250i 0.0902399 0.627632i
\(293\) −20.0460 + 23.1343i −1.17110 + 1.35152i −0.247166 + 0.968973i \(0.579499\pi\)
−0.923935 + 0.382549i \(0.875046\pi\)
\(294\) 2.05592 1.32126i 0.119903 0.0770573i
\(295\) 4.83630 + 5.58139i 0.281580 + 0.324961i
\(296\) 5.22272 + 1.53353i 0.303565 + 0.0891346i
\(297\) 0.0476689 0.104380i 0.00276603 0.00605676i
\(298\) −6.77505 −0.392468
\(299\) −4.71525 6.41416i −0.272690 0.370941i
\(300\) 25.5910 1.47750
\(301\) 3.27948 7.18106i 0.189026 0.413909i
\(302\) 12.9788 + 3.81092i 0.746846 + 0.219294i
\(303\) 17.6323 + 20.3488i 1.01295 + 1.16901i
\(304\) 5.81095 3.73447i 0.333281 0.214186i
\(305\) 22.3912 25.8408i 1.28211 1.47964i
\(306\) 0.509773 3.54555i 0.0291418 0.202685i
\(307\) 25.4194 7.46381i 1.45076 0.425982i 0.540968 0.841043i \(-0.318058\pi\)
0.909794 + 0.415061i \(0.136240\pi\)
\(308\) 1.43692 + 0.923454i 0.0818762 + 0.0526186i
\(309\) 1.99654 + 13.8862i 0.113579 + 0.789960i
\(310\) −6.31901 13.8367i −0.358896 0.785872i
\(311\) −9.73908 21.3256i −0.552253 1.20926i −0.955722 0.294271i \(-0.904923\pi\)
0.403469 0.914993i \(-0.367804\pi\)
\(312\) 0.577330 + 4.01542i 0.0326849 + 0.227328i
\(313\) −21.5378 13.8415i −1.21739 0.782369i −0.235510 0.971872i \(-0.575676\pi\)
−0.981880 + 0.189503i \(0.939312\pi\)
\(314\) 14.1569 4.15684i 0.798921 0.234584i
\(315\) 1.66395 11.5730i 0.0937529 0.652066i
\(316\) 2.25766 2.60548i 0.127004 0.146570i
\(317\) −20.9352 + 13.4542i −1.17584 + 0.755664i −0.974616 0.223882i \(-0.928127\pi\)
−0.201220 + 0.979546i \(0.564490\pi\)
\(318\) −0.814885 0.940428i −0.0456965 0.0527366i
\(319\) 14.5589 + 4.27486i 0.815139 + 0.239346i
\(320\) 1.63399 3.57793i 0.0913427 0.200013i
\(321\) 14.1084 0.787453
\(322\) 4.78046 + 0.383646i 0.266405 + 0.0213798i
\(323\) −8.32383 −0.463150
\(324\) −3.77268 + 8.26102i −0.209593 + 0.458945i
\(325\) 16.6781 + 4.89713i 0.925135 + 0.271644i
\(326\) 7.90488 + 9.12272i 0.437811 + 0.505261i
\(327\) −24.4074 + 15.6857i −1.34973 + 0.867419i
\(328\) −7.10032 + 8.19421i −0.392050 + 0.452449i
\(329\) 1.54171 10.7228i 0.0849971 0.591167i
\(330\) 15.7541 4.62581i 0.867233 0.254643i
\(331\) −4.57721 2.94159i −0.251586 0.161685i 0.408769 0.912638i \(-0.365958\pi\)
−0.660356 + 0.750953i \(0.729594\pi\)
\(332\) 0.349360 + 2.42985i 0.0191736 + 0.133356i
\(333\) −6.72142 14.7178i −0.368331 0.806533i
\(334\) −1.43198 3.13559i −0.0783542 0.171572i
\(335\) 1.10198 + 7.66443i 0.0602075 + 0.418752i
\(336\) −2.05592 1.32126i −0.112159 0.0720805i
\(337\) −12.4140 + 3.64507i −0.676232 + 0.198560i −0.601776 0.798665i \(-0.705540\pi\)
−0.0744556 + 0.997224i \(0.523722\pi\)
\(338\) 1.45795 10.1403i 0.0793022 0.551559i
\(339\) 26.1191 30.1431i 1.41860 1.63715i
\(340\) −3.98746 + 2.56259i −0.216250 + 0.138976i
\(341\) −4.32569 4.99212i −0.234249 0.270338i
\(342\) −19.7009 5.78470i −1.06530 0.312800i
\(343\) −0.415415 + 0.909632i −0.0224303 + 0.0491155i
\(344\) −7.89447 −0.425641
\(345\) 32.8800 32.3140i 1.77020 1.73973i
\(346\) −0.663866 −0.0356897
\(347\) −7.81487 + 17.1122i −0.419524 + 0.918630i 0.575387 + 0.817881i \(0.304851\pi\)
−0.994912 + 0.100749i \(0.967876\pi\)
\(348\) −20.8305 6.11638i −1.11663 0.327873i
\(349\) 7.26652 + 8.38601i 0.388968 + 0.448893i 0.916136 0.400868i \(-0.131292\pi\)
−0.527168 + 0.849761i \(0.676746\pi\)
\(350\) −8.80920 + 5.66133i −0.470871 + 0.302611i
\(351\) −0.0730283 + 0.0842791i −0.00389796 + 0.00449849i
\(352\) 0.243084 1.69069i 0.0129564 0.0901139i
\(353\) −6.62131 + 1.94419i −0.352417 + 0.103479i −0.453149 0.891435i \(-0.649700\pi\)
0.100732 + 0.994914i \(0.467881\pi\)
\(354\) −3.86014 2.48076i −0.205164 0.131851i
\(355\) −4.20998 29.2811i −0.223443 1.55408i
\(356\) 3.58758 + 7.85570i 0.190141 + 0.416351i
\(357\) 1.22339 + 2.67884i 0.0647485 + 0.141779i
\(358\) −2.71843 18.9071i −0.143673 0.999270i
\(359\) 21.8455 + 14.0392i 1.15296 + 0.740962i 0.970226 0.242200i \(-0.0778691\pi\)
0.182733 + 0.983162i \(0.441505\pi\)
\(360\) −11.2184 + 3.29402i −0.591263 + 0.173610i
\(361\) −4.08634 + 28.4211i −0.215070 + 1.49585i
\(362\) −9.04631 + 10.4400i −0.475463 + 0.548714i
\(363\) −16.6169 + 10.6790i −0.872162 + 0.560505i
\(364\) −1.08704 1.25451i −0.0569762 0.0657541i
\(365\) 40.8929 + 12.0072i 2.14043 + 0.628488i
\(366\) −8.82515 + 19.3244i −0.461298 + 1.01010i
\(367\) −11.1062 −0.579738 −0.289869 0.957066i \(-0.593612\pi\)
−0.289869 + 0.957066i \(0.593612\pi\)
\(368\) −1.63690 4.50783i −0.0853292 0.234987i
\(369\) 32.2294 1.67780
\(370\) −8.89414 + 19.4754i −0.462384 + 1.01248i
\(371\) 0.488552 + 0.143452i 0.0253644 + 0.00744765i
\(372\) 6.18911 + 7.14261i 0.320890 + 0.370327i
\(373\) −16.4336 + 10.5612i −0.850897 + 0.546838i −0.891854 0.452322i \(-0.850596\pi\)
0.0409573 + 0.999161i \(0.486959\pi\)
\(374\) −1.34790 + 1.55556i −0.0696983 + 0.0804362i
\(375\) −7.48519 + 52.0606i −0.386533 + 2.68840i
\(376\) −10.3943 + 3.05203i −0.536043 + 0.157396i
\(377\) −12.4051 7.97230i −0.638897 0.410594i
\(378\) −0.00956086 0.0664972i −0.000491757 0.00342025i
\(379\) 9.38513 + 20.5506i 0.482082 + 1.05561i 0.981886 + 0.189473i \(0.0606780\pi\)
−0.499804 + 0.866138i \(0.666595\pi\)
\(380\) 11.2867 + 24.7145i 0.578998 + 1.26783i
\(381\) −7.27625 50.6074i −0.372773 2.59270i
\(382\) 12.5890 + 8.09043i 0.644107 + 0.413942i
\(383\) 25.6957 7.54494i 1.31299 0.385528i 0.451031 0.892508i \(-0.351056\pi\)
0.861958 + 0.506980i \(0.169238\pi\)
\(384\) −0.347799 + 2.41900i −0.0177486 + 0.123444i
\(385\) −4.39968 + 5.07751i −0.224229 + 0.258774i
\(386\) 6.73490 4.32826i 0.342798 0.220303i
\(387\) 15.3672 + 17.7347i 0.781159 + 0.901506i
\(388\) −0.570901 0.167632i −0.0289831 0.00851021i
\(389\) −2.57192 + 5.63171i −0.130401 + 0.285539i −0.963559 0.267497i \(-0.913804\pi\)
0.833157 + 0.553036i \(0.186531\pi\)
\(390\) −15.9566 −0.807994
\(391\) −1.27743 + 5.63624i −0.0646026 + 0.285037i
\(392\) 1.00000 0.0505076
\(393\) −1.96442 + 4.30149i −0.0990920 + 0.216981i
\(394\) −13.9808 4.10513i −0.704342 0.206813i
\(395\) 8.88026 + 10.2484i 0.446815 + 0.515651i
\(396\) −4.27126 + 2.74498i −0.214639 + 0.137940i
\(397\) 6.91672 7.98232i 0.347140 0.400621i −0.555150 0.831750i \(-0.687339\pi\)
0.902290 + 0.431129i \(0.141885\pi\)
\(398\) 0.198351 1.37956i 0.00994244 0.0691512i
\(399\) 16.1972 4.75593i 0.810875 0.238094i
\(400\) 8.80920 + 5.66133i 0.440460 + 0.283066i
\(401\) −2.71132 18.8576i −0.135397 0.941705i −0.938356 0.345671i \(-0.887651\pi\)
0.802959 0.596034i \(-0.203258\pi\)
\(402\) −1.99856 4.37624i −0.0996791 0.218267i
\(403\) 2.66672 + 5.83931i 0.132839 + 0.290877i
\(404\) 1.56795 + 10.9053i 0.0780084 + 0.542561i
\(405\) −30.0511 19.3127i −1.49325 0.959656i
\(406\) 8.52356 2.50274i 0.423017 0.124209i
\(407\) −1.32316 + 9.20276i −0.0655865 + 0.456164i
\(408\) 1.92855 2.22566i 0.0954774 0.110187i
\(409\) 8.98815 5.77633i 0.444435 0.285621i −0.299220 0.954184i \(-0.596727\pi\)
0.743656 + 0.668563i \(0.233090\pi\)
\(410\) −27.9283 32.2310i −1.37928 1.59177i
\(411\) −19.4759 5.71864i −0.960675 0.282080i
\(412\) −2.38468 + 5.22173i −0.117485 + 0.257256i
\(413\) 1.87758 0.0923895
\(414\) −6.94037 + 12.4521i −0.341101 + 0.611988i
\(415\) −9.65583 −0.473986
\(416\) −0.689569 + 1.50995i −0.0338089 + 0.0740311i
\(417\) −44.6906 13.1224i −2.18851 0.642604i
\(418\) 7.72636 + 8.91670i 0.377909 + 0.436130i
\(419\) −28.1253 + 18.0750i −1.37401 + 0.883022i −0.999031 0.0440113i \(-0.985986\pi\)
−0.374978 + 0.927034i \(0.622350\pi\)
\(420\) 6.29497 7.26479i 0.307163 0.354485i
\(421\) 2.86485 19.9255i 0.139624 0.971109i −0.792733 0.609570i \(-0.791342\pi\)
0.932357 0.361539i \(-0.117749\pi\)
\(422\) −7.31921 + 2.14911i −0.356294 + 0.104617i
\(423\) 27.0896 + 17.4094i 1.31714 + 0.846474i
\(424\) −0.0724635 0.503995i −0.00351914 0.0244761i
\(425\) −5.24197 11.4783i −0.254273 0.556780i
\(426\) 7.63527 + 16.7189i 0.369930 + 0.810033i
\(427\) −1.23712 8.60435i −0.0598684 0.416394i
\(428\) 4.85652 + 3.12110i 0.234749 + 0.150864i
\(429\) −6.64847 + 1.95217i −0.320991 + 0.0942515i
\(430\) 4.41916 30.7359i 0.213111 1.48222i
\(431\) −8.89181 + 10.2617i −0.428303 + 0.494288i −0.928349 0.371711i \(-0.878771\pi\)
0.500045 + 0.865999i \(0.333317\pi\)
\(432\) −0.0565163 + 0.0363208i −0.00271914 + 0.00174749i
\(433\) −3.55449 4.10210i −0.170818 0.197134i 0.663885 0.747834i \(-0.268906\pi\)
−0.834703 + 0.550700i \(0.814361\pi\)
\(434\) −3.71059 1.08953i −0.178114 0.0522989i
\(435\) 35.4737 77.6765i 1.70083 3.72430i
\(436\) −11.8718 −0.568555
\(437\) 30.9368 + 11.8458i 1.47991 + 0.566660i
\(438\) −26.4800 −1.26526
\(439\) −2.00846 + 4.39792i −0.0958586 + 0.209901i −0.951487 0.307690i \(-0.900444\pi\)
0.855628 + 0.517591i \(0.173171\pi\)
\(440\) 6.44636 + 1.89282i 0.307318 + 0.0902367i
\(441\) −1.94658 2.24647i −0.0926943 0.106975i
\(442\) 1.68277 1.08145i 0.0800413 0.0514394i
\(443\) −7.67843 + 8.86138i −0.364813 + 0.421017i −0.908247 0.418435i \(-0.862579\pi\)
0.543433 + 0.839452i \(0.317124\pi\)
\(444\) 1.89315 13.1671i 0.0898447 0.624884i
\(445\) −32.5932 + 9.57024i −1.54507 + 0.453673i
\(446\) 15.6456 + 10.0548i 0.740841 + 0.476110i
\(447\) 2.35636 + 16.3888i 0.111452 + 0.775165i
\(448\) −0.415415 0.909632i −0.0196265 0.0429761i
\(449\) 0.598261 + 1.31001i 0.0282337 + 0.0618232i 0.923223 0.384264i \(-0.125545\pi\)
−0.894990 + 0.446087i \(0.852817\pi\)
\(450\) −4.42979 30.8099i −0.208822 1.45239i
\(451\) −15.5798 10.0125i −0.733624 0.471472i
\(452\) 15.6593 4.59799i 0.736553 0.216271i
\(453\) 4.70458 32.7211i 0.221041 1.53737i
\(454\) −16.0566 + 18.5303i −0.753573 + 0.869670i
\(455\) 5.49274 3.52997i 0.257503 0.165487i
\(456\) −11.0547 12.7578i −0.517684 0.597440i
\(457\) 18.9021 + 5.55015i 0.884202 + 0.259625i 0.692145 0.721759i \(-0.256666\pi\)
0.192057 + 0.981384i \(0.438484\pi\)
\(458\) −7.69123 + 16.8414i −0.359388 + 0.786949i
\(459\) 0.0809561 0.00377871
\(460\) 18.4669 3.84963i 0.861022 0.179490i
\(461\) 9.79082 0.456004 0.228002 0.973661i \(-0.426781\pi\)
0.228002 + 0.973661i \(0.426781\pi\)
\(462\) 1.73407 3.79709i 0.0806763 0.176656i
\(463\) −30.0954 8.83681i −1.39865 0.410681i −0.506431 0.862280i \(-0.669036\pi\)
−0.892221 + 0.451599i \(0.850854\pi\)
\(464\) −5.81739 6.71362i −0.270065 0.311672i
\(465\) −31.2732 + 20.0981i −1.45026 + 0.932026i
\(466\) 5.15682 5.95129i 0.238885 0.275688i
\(467\) 5.06204 35.2073i 0.234243 1.62920i −0.445172 0.895445i \(-0.646857\pi\)
0.679415 0.733754i \(-0.262233\pi\)
\(468\) 4.73435 1.39013i 0.218846 0.0642588i
\(469\) 1.65609 + 1.06430i 0.0764710 + 0.0491450i
\(470\) −6.06413 42.1769i −0.279717 1.94548i
\(471\) −14.9792 32.7998i −0.690203 1.51133i
\(472\) −0.779974 1.70790i −0.0359012 0.0786127i
\(473\) −1.91902 13.3471i −0.0882366 0.613699i
\(474\) −7.08787 4.55510i −0.325557 0.209223i
\(475\) −69.4019 + 20.3782i −3.18438 + 0.935018i
\(476\) −0.171496 + 1.19278i −0.00786049 + 0.0546709i
\(477\) −0.991155 + 1.14385i −0.0453819 + 0.0523735i
\(478\) −4.93246 + 3.16990i −0.225606 + 0.144988i
\(479\) 17.0755 + 19.7062i 0.780200 + 0.900399i 0.997124 0.0757895i \(-0.0241477\pi\)
−0.216924 + 0.976189i \(0.569602\pi\)
\(480\) −9.22331 2.70821i −0.420984 0.123612i
\(481\) 3.75347 8.21895i 0.171143 0.374752i
\(482\) −1.10659 −0.0504039
\(483\) −0.734601 11.6974i −0.0334255 0.532248i
\(484\) −8.08249 −0.367386
\(485\) 0.972227 2.12888i 0.0441466 0.0966675i
\(486\) 21.1021 + 6.19614i 0.957212 + 0.281063i
\(487\) 14.2136 + 16.4034i 0.644082 + 0.743310i 0.980091 0.198549i \(-0.0636228\pi\)
−0.336009 + 0.941859i \(0.609077\pi\)
\(488\) −7.31288 + 4.69970i −0.331038 + 0.212745i
\(489\) 19.3185 22.2948i 0.873613 1.00820i
\(490\) −0.559779 + 3.89335i −0.0252882 + 0.175884i
\(491\) −12.4282 + 3.64924i −0.560876 + 0.164688i −0.549868 0.835251i \(-0.685322\pi\)
−0.0110077 + 0.999939i \(0.503504\pi\)
\(492\) 22.2912 + 14.3257i 1.00497 + 0.645853i
\(493\) 1.52346 + 10.5959i 0.0686134 + 0.477217i
\(494\) −4.76319 10.4299i −0.214306 0.469265i
\(495\) −8.29618 18.1661i −0.372886 0.816506i
\(496\) 0.550365 + 3.82787i 0.0247121 + 0.171877i
\(497\) −6.32689 4.06605i −0.283800 0.182387i
\(498\) 5.75630 1.69020i 0.257946 0.0757398i
\(499\) 5.03274 35.0035i 0.225296 1.56697i −0.492246 0.870456i \(-0.663824\pi\)
0.717542 0.696515i \(-0.245267\pi\)
\(500\) −14.0936 + 16.2649i −0.630286 + 0.727389i
\(501\) −7.08694 + 4.55450i −0.316621 + 0.203480i
\(502\) 6.40666 + 7.39368i 0.285943 + 0.329996i
\(503\) 16.1655 + 4.74661i 0.720782 + 0.211641i 0.621495 0.783418i \(-0.286526\pi\)
0.0992872 + 0.995059i \(0.468344\pi\)
\(504\) −1.23483 + 2.70389i −0.0550035 + 0.120441i
\(505\) −43.3360 −1.92843
\(506\) 7.22343 3.86326i 0.321121 0.171743i
\(507\) −25.0364 −1.11191
\(508\) 8.69083 19.0303i 0.385593 0.844331i
\(509\) −29.0532 8.53080i −1.28776 0.378121i −0.435004 0.900428i \(-0.643253\pi\)
−0.852757 + 0.522307i \(0.825071\pi\)
\(510\) 7.58572 + 8.75439i 0.335901 + 0.387651i
\(511\) 9.11521 5.85799i 0.403233 0.259142i
\(512\) −0.654861 + 0.755750i −0.0289410 + 0.0333997i
\(513\) 0.0660415 0.459329i 0.00291580 0.0202799i
\(514\) 20.5578 6.03631i 0.906765 0.266250i
\(515\) −18.9951 12.2074i −0.837025 0.537923i
\(516\) 2.74569 + 19.0967i 0.120872 + 0.840685i
\(517\) −7.68670 16.8315i −0.338061 0.740250i
\(518\) 2.26119 + 4.95132i 0.0993511 + 0.217548i
\(519\) 0.230892 + 1.60589i 0.0101350 + 0.0704908i
\(520\) −5.49274 3.52997i −0.240872 0.154799i
\(521\) 4.07496 1.19652i 0.178527 0.0524203i −0.191247 0.981542i \(-0.561253\pi\)
0.369774 + 0.929122i \(0.379435\pi\)
\(522\) −3.75796 + 26.1372i −0.164482 + 1.14400i
\(523\) 13.9416 16.0894i 0.609622 0.703541i −0.364080 0.931368i \(-0.618616\pi\)
0.973702 + 0.227827i \(0.0731619\pi\)
\(524\) −1.62780 + 1.04612i −0.0711108 + 0.0457001i
\(525\) 16.7586 + 19.3404i 0.731404 + 0.844085i
\(526\) −17.1596 5.03850i −0.748192 0.219689i
\(527\) 1.93591 4.23906i 0.0843297 0.184656i
\(528\) −4.17431 −0.181664
\(529\) 12.7688 19.1300i 0.555165 0.831740i
\(530\) 2.00279 0.0869957
\(531\) −2.31848 + 5.07676i −0.100613 + 0.220313i
\(532\) 6.62768 + 1.94606i 0.287347 + 0.0843726i
\(533\) 11.7862 + 13.6020i 0.510516 + 0.589167i
\(534\) 17.7552 11.4105i 0.768341 0.493783i
\(535\) −14.8701 + 17.1610i −0.642890 + 0.741935i
\(536\) 0.280160 1.94856i 0.0121011 0.0841649i
\(537\) −44.7907 + 13.1517i −1.93286 + 0.567539i
\(538\) 11.4570 + 7.36298i 0.493947 + 0.317441i
\(539\) 0.243084 + 1.69069i 0.0104704 + 0.0728230i
\(540\) −0.109773 0.240369i −0.00472387 0.0103438i
\(541\) 10.3558 + 22.6760i 0.445230 + 0.974917i 0.990609 + 0.136727i \(0.0436585\pi\)
−0.545379 + 0.838190i \(0.683614\pi\)
\(542\) 1.50781 + 10.4870i 0.0647659 + 0.450457i
\(543\) 28.4006 + 18.2520i 1.21879 + 0.783267i
\(544\) 1.15623 0.339500i 0.0495730 0.0145560i
\(545\) 6.64557 46.2210i 0.284665 1.97989i
\(546\) −2.65658 + 3.06586i −0.113691 + 0.131207i
\(547\) 21.7694 13.9904i 0.930794 0.598185i 0.0150236 0.999887i \(-0.495218\pi\)
0.915770 + 0.401702i \(0.131581\pi\)
\(548\) −5.43909 6.27704i −0.232346 0.268142i
\(549\) 24.7929 + 7.27984i 1.05813 + 0.310696i
\(550\) −7.43016 + 16.2698i −0.316823 + 0.693745i
\(551\) 61.3620 2.61411
\(552\) −10.3351 + 5.52747i −0.439892 + 0.235265i
\(553\) 3.44755 0.146605
\(554\) 2.42428 5.30844i 0.102998 0.225534i
\(555\) 50.2044 + 14.7413i 2.13106 + 0.625735i
\(556\) −12.4809 14.4037i −0.529307 0.610853i
\(557\) −21.2628 + 13.6648i −0.900933 + 0.578995i −0.907067 0.420987i \(-0.861684\pi\)
0.00613377 + 0.999981i \(0.498048\pi\)
\(558\) 7.52788 8.68764i 0.318681 0.367777i
\(559\) −1.86496 + 12.9710i −0.0788792 + 0.548617i
\(560\) 3.77405 1.10816i 0.159483 0.0468284i
\(561\) 4.23170 + 2.71955i 0.178662 + 0.114819i
\(562\) 2.05136 + 14.2675i 0.0865312 + 0.601838i
\(563\) 7.59027 + 16.6204i 0.319892 + 0.700465i 0.999450 0.0331563i \(-0.0105559\pi\)
−0.679559 + 0.733621i \(0.737829\pi\)
\(564\) 10.9980 + 24.0822i 0.463098 + 1.01404i
\(565\) 9.13583 + 63.5411i 0.384347 + 2.67319i
\(566\) −17.9201 11.5165i −0.753236 0.484076i
\(567\) −8.71384 + 2.55861i −0.365947 + 0.107452i
\(568\) −1.07032 + 7.44424i −0.0449096 + 0.312353i
\(569\) −19.7661 + 22.8113i −0.828639 + 0.956301i −0.999580 0.0289808i \(-0.990774\pi\)
0.170941 + 0.985281i \(0.445319\pi\)
\(570\) 55.8588 35.8983i 2.33967 1.50361i
\(571\) −20.8738 24.0897i −0.873542 1.00812i −0.999870 0.0161330i \(-0.994864\pi\)
0.126327 0.991989i \(-0.459681\pi\)
\(572\) −2.72047 0.798801i −0.113748 0.0333996i
\(573\) 15.1923 33.2665i 0.634667 1.38973i
\(574\) −10.8425 −0.452557
\(575\) 3.14762 + 50.1209i 0.131265 + 2.09019i
\(576\) 2.97251 0.123855
\(577\) −15.3765 + 33.6699i −0.640133 + 1.40170i 0.259797 + 0.965663i \(0.416344\pi\)
−0.899931 + 0.436033i \(0.856383\pi\)
\(578\) 14.9181 + 4.38034i 0.620510 + 0.182198i
\(579\) −12.8124 14.7863i −0.532467 0.614499i
\(580\) 29.3949 18.8910i 1.22056 0.784405i
\(581\) −1.60758 + 1.85524i −0.0666936 + 0.0769685i
\(582\) −0.206942 + 1.43931i −0.00857801 + 0.0596613i
\(583\) 0.834482 0.245026i 0.0345607 0.0101479i
\(584\) −9.11521 5.85799i −0.377190 0.242405i
\(585\) 2.76207 + 19.2106i 0.114198 + 0.794263i
\(586\) 12.7163 + 27.8448i 0.525306 + 1.15026i
\(587\) 4.94270 + 10.8230i 0.204007 + 0.446713i 0.983787 0.179341i \(-0.0573964\pi\)
−0.779780 + 0.626053i \(0.784669\pi\)
\(588\) −0.347799 2.41900i −0.0143430 0.0997578i
\(589\) −22.4723 14.4421i −0.925955 0.595075i
\(590\) 7.08608 2.08066i 0.291729 0.0856595i
\(591\) −5.06779 + 35.2473i −0.208461 + 1.44988i
\(592\) 3.56455 4.11371i 0.146502 0.169072i
\(593\) −18.5520 + 11.9226i −0.761839 + 0.489604i −0.862961 0.505270i \(-0.831393\pi\)
0.101123 + 0.994874i \(0.467757\pi\)
\(594\) −0.0751453 0.0867223i −0.00308325 0.00355826i
\(595\) −4.54790 1.33539i −0.186446 0.0547454i
\(596\) −2.81446 + 6.16280i −0.115285 + 0.252438i
\(597\) −3.40614 −0.139404
\(598\) −7.79332 + 1.62460i −0.318692 + 0.0664350i
\(599\) 4.76413 0.194657 0.0973285 0.995252i \(-0.468970\pi\)
0.0973285 + 0.995252i \(0.468970\pi\)
\(600\) 10.6309 23.2784i 0.434005 0.950338i
\(601\) 35.7906 + 10.5091i 1.45993 + 0.428673i 0.912811 0.408383i \(-0.133907\pi\)
0.547117 + 0.837056i \(0.315725\pi\)
\(602\) −5.16978 5.96624i −0.210704 0.243166i
\(603\) −4.92274 + 3.16365i −0.200469 + 0.128834i
\(604\) 8.85812 10.2228i 0.360432 0.415960i
\(605\) 4.52441 31.4679i 0.183943 1.27935i
\(606\) 25.8346 7.58573i 1.04946 0.308149i
\(607\) −4.80110 3.08548i −0.194871 0.125236i 0.439567 0.898210i \(-0.355132\pi\)
−0.634438 + 0.772974i \(0.718768\pi\)
\(608\) −0.983038 6.83718i −0.0398674 0.277284i
\(609\) −9.01861 19.7480i −0.365453 0.800230i
\(610\) −14.2040 31.1024i −0.575102 1.25930i
\(611\) 2.55916 + 17.7993i 0.103532 + 0.720084i
\(612\) −3.01338 1.93658i −0.121809 0.0782816i
\(613\) 11.5732 3.39821i 0.467438 0.137252i −0.0395275 0.999218i \(-0.512585\pi\)
0.506966 + 0.861966i \(0.330767\pi\)
\(614\) 3.77028 26.2229i 0.152156 1.05827i
\(615\) −68.2532 + 78.7683i −2.75223 + 3.17625i
\(616\) 1.43692 0.923454i 0.0578952 0.0372070i
\(617\) −6.17484 7.12614i −0.248590 0.286888i 0.617717 0.786401i \(-0.288058\pi\)
−0.866306 + 0.499513i \(0.833512\pi\)
\(618\) 13.4607 + 3.95243i 0.541471 + 0.158990i
\(619\) 4.16651 9.12339i 0.167466 0.366700i −0.807229 0.590239i \(-0.799034\pi\)
0.974695 + 0.223539i \(0.0717609\pi\)
\(620\) −15.2113 −0.610902
\(621\) −0.300886 0.115210i −0.0120741 0.00462322i
\(622\) −23.4442 −0.940028
\(623\) −3.58758 + 7.85570i −0.143733 + 0.314732i
\(624\) 3.89238 + 1.14291i 0.155820 + 0.0457529i
\(625\) −21.1488 24.4070i −0.845950 0.976279i
\(626\) −21.5378 + 13.8415i −0.860825 + 0.553219i
\(627\) 18.8822 21.7913i 0.754084 0.870260i
\(628\) 2.09979 14.6044i 0.0837909 0.582779i
\(629\) −6.29361 + 1.84797i −0.250943 + 0.0736835i
\(630\) −9.83596 6.32119i −0.391874 0.251842i
\(631\) 0.618521 + 4.30191i 0.0246229 + 0.171256i 0.998422 0.0561532i \(-0.0178835\pi\)
−0.973799 + 0.227409i \(0.926974\pi\)
\(632\) −1.43216 3.13600i −0.0569684 0.124743i
\(633\) 7.74432 + 16.9577i 0.307809 + 0.674008i
\(634\) 3.54160 + 24.6324i 0.140655 + 0.978276i
\(635\) 69.2265 + 44.4892i 2.74717 + 1.76550i
\(636\) −1.19396 + 0.350578i −0.0473436 + 0.0139013i
\(637\) 0.236236 1.64306i 0.00936000 0.0651002i
\(638\) 9.93652 11.4674i 0.393391 0.453997i
\(639\) 18.8068 12.0864i 0.743984 0.478129i
\(640\) −2.57582 2.97265i −0.101818 0.117504i
\(641\) −37.5036 11.0121i −1.48130 0.434950i −0.561549 0.827444i \(-0.689794\pi\)
−0.919755 + 0.392494i \(0.871612\pi\)
\(642\) 5.86083 12.8334i 0.231309 0.506495i
\(643\) 16.2243 0.639824 0.319912 0.947447i \(-0.396347\pi\)
0.319912 + 0.947447i \(0.396347\pi\)
\(644\) 2.33485 4.18909i 0.0920061 0.165073i
\(645\) −75.8870 −2.98805
\(646\) −3.45784 + 7.57162i −0.136047 + 0.297901i
\(647\) −37.1424 10.9060i −1.46022 0.428758i −0.547311 0.836929i \(-0.684349\pi\)
−0.912906 + 0.408171i \(0.866167\pi\)
\(648\) 5.94726 + 6.86350i 0.233630 + 0.269624i
\(649\) 2.69793 1.73386i 0.105903 0.0680598i
\(650\) 11.3829 13.1366i 0.446475 0.515260i
\(651\) −1.34502 + 9.35483i −0.0527156 + 0.366645i
\(652\) 11.5821 3.40082i 0.453591 0.133186i
\(653\) −41.1224 26.4278i −1.60924 1.03420i −0.962422 0.271557i \(-0.912462\pi\)
−0.646821 0.762641i \(-0.723902\pi\)
\(654\) 4.12900 + 28.7178i 0.161456 + 1.12295i
\(655\) −3.16172 6.92319i −0.123539 0.270512i
\(656\) 4.50413 + 9.86267i 0.175857 + 0.385073i
\(657\) 4.58367 + 31.8801i 0.178826 + 1.24376i
\(658\) −9.11336 5.85680i −0.355276 0.228322i
\(659\) −6.95402 + 2.04189i −0.270890 + 0.0795405i −0.414356 0.910115i \(-0.635993\pi\)
0.143466 + 0.989655i \(0.454175\pi\)
\(660\) 2.33669 16.2520i 0.0909556 0.632610i
\(661\) 2.83275 3.26917i 0.110181 0.127156i −0.697980 0.716117i \(-0.745918\pi\)
0.808161 + 0.588961i \(0.200463\pi\)
\(662\) −4.57721 + 2.94159i −0.177898 + 0.114328i
\(663\) −3.20130 3.69449i −0.124328 0.143482i
\(664\) 2.35540 + 0.691608i 0.0914073 + 0.0268396i
\(665\) −11.2867 + 24.7145i −0.437681 + 0.958388i
\(666\) −16.1800 −0.626962
\(667\) 9.41704 41.5495i 0.364629 1.60880i
\(668\) −3.44710 −0.133372
\(669\) 18.8810 41.3437i 0.729984 1.59844i
\(670\) 7.42959 + 2.18152i 0.287030 + 0.0842796i
\(671\) −9.72337 11.2214i −0.375366 0.433196i
\(672\) −2.05592 + 1.32126i −0.0793087 + 0.0509686i
\(673\) 18.1404 20.9351i 0.699259 0.806988i −0.289393 0.957210i \(-0.593453\pi\)
0.988652 + 0.150222i \(0.0479989\pi\)
\(674\) −1.84128 + 12.8064i −0.0709233 + 0.493282i
\(675\) 0.674991 0.198195i 0.0259804 0.00762854i
\(676\) −8.61827 5.53863i −0.331472 0.213024i
\(677\) −6.31071 43.8919i −0.242540 1.68690i −0.639281 0.768973i \(-0.720768\pi\)
0.396741 0.917931i \(-0.370141\pi\)
\(678\) −16.5688 36.2807i −0.636322 1.39335i
\(679\) −0.247173 0.541234i −0.00948564 0.0207706i
\(680\) 0.674559 + 4.69166i 0.0258681 + 0.179917i
\(681\) 50.4092 + 32.3960i 1.93168 + 1.24142i
\(682\) −6.33795 + 1.86099i −0.242693 + 0.0712610i
\(683\) −6.23625 + 43.3741i −0.238624 + 1.65966i 0.420249 + 0.907409i \(0.361943\pi\)
−0.658873 + 0.752254i \(0.728966\pi\)
\(684\) −13.4460 + 15.5175i −0.514120 + 0.593326i
\(685\) 27.4834 17.6625i 1.05009 0.674850i
\(686\) 0.654861 + 0.755750i 0.0250027 + 0.0288547i
\(687\) 43.4144 + 12.7476i 1.65636 + 0.486352i
\(688\) −3.27948 + 7.18106i −0.125029 + 0.273775i
\(689\) −0.845210 −0.0321999
\(690\) −15.7350 43.3324i −0.599021 1.64964i
\(691\) −6.70613 −0.255113 −0.127557 0.991831i \(-0.540713\pi\)
−0.127557 + 0.991831i \(0.540713\pi\)
\(692\) −0.275780 + 0.603874i −0.0104836 + 0.0229558i
\(693\) −4.87160 1.43043i −0.185057 0.0543375i
\(694\) 12.3194 + 14.2173i 0.467637 + 0.539682i
\(695\) 63.0652 40.5295i 2.39220 1.53737i
\(696\) −14.2170 + 16.4072i −0.538892 + 0.621915i
\(697\) 1.85944 12.9327i 0.0704313 0.489861i
\(698\) 10.6468 3.12618i 0.402987 0.118328i
\(699\) −16.1897 10.4045i −0.612350 0.393533i
\(700\) 1.49025 + 10.3649i 0.0563262 + 0.391758i
\(701\) 10.7092 + 23.4500i 0.404483 + 0.885693i 0.996796 + 0.0799856i \(0.0254874\pi\)
−0.592314 + 0.805708i \(0.701785\pi\)
\(702\) 0.0463259 + 0.101440i 0.00174846 + 0.00382859i
\(703\) 5.35088 + 37.2162i 0.201812 + 1.40364i
\(704\) −1.43692 0.923454i −0.0541560 0.0348040i
\(705\) −99.9168 + 29.3382i −3.76308 + 1.10494i
\(706\) −0.982093 + 6.83061i −0.0369616 + 0.257073i
\(707\) −7.21491 + 8.32645i −0.271345 + 0.313148i
\(708\) −3.86014 + 2.48076i −0.145073 + 0.0932328i
\(709\) 5.47351 + 6.31676i 0.205562 + 0.237231i 0.849164 0.528129i \(-0.177106\pi\)
−0.643602 + 0.765360i \(0.722561\pi\)
\(710\) −28.3839 8.33426i −1.06523 0.312779i
\(711\) −4.25712 + 9.32180i −0.159655 + 0.349595i
\(712\) 8.63613 0.323653
\(713\) −13.2278 + 13.0001i −0.495385 + 0.486857i
\(714\) 2.94497 0.110213
\(715\) 4.63287 10.1446i 0.173260 0.379386i
\(716\) −18.3278 5.38152i −0.684941 0.201117i
\(717\) 9.38349 + 10.8291i 0.350433 + 0.404421i
\(718\) 21.8455 14.0392i 0.815266 0.523939i
\(719\) 15.5178 17.9085i 0.578717 0.667875i −0.388611 0.921402i \(-0.627045\pi\)
0.967328 + 0.253527i \(0.0815905\pi\)
\(720\) −1.66395 + 11.5730i −0.0620117 + 0.431301i
\(721\) −5.50796 + 1.61728i −0.205127 + 0.0602307i
\(722\) 24.1552 + 15.5236i 0.898964 + 0.577729i
\(723\) 0.384872 + 2.67684i 0.0143135 + 0.0995528i
\(724\) 5.73858 + 12.5657i 0.213273 + 0.467002i
\(725\) 38.6430 + 84.6164i 1.43516 + 3.14257i
\(726\) 2.81108 + 19.5515i 0.104329 + 0.725625i
\(727\) 12.4499 + 8.00108i 0.461742 + 0.296744i 0.750754 0.660582i \(-0.229690\pi\)
−0.289012 + 0.957325i \(0.593327\pi\)
\(728\) −1.59271 + 0.467662i −0.0590298 + 0.0173327i
\(729\) 3.77176 26.2332i 0.139695 0.971599i
\(730\) 27.9097 32.2095i 1.03298 1.19213i
\(731\) 8.00300 5.14321i 0.296002 0.190229i
\(732\) 13.9120 + 16.0553i 0.514201 + 0.593420i
\(733\) 45.8736 + 13.4697i 1.69438 + 0.497515i 0.979451 0.201682i \(-0.0646407\pi\)
0.714929 + 0.699197i \(0.246459\pi\)
\(734\) −4.61368 + 10.1025i −0.170294 + 0.372892i
\(735\) 9.61269 0.354569
\(736\) −4.78046 0.383646i −0.176210 0.0141414i
\(737\) 3.36250 0.123859
\(738\) 13.3886 29.3169i 0.492840 1.07917i
\(739\) −21.9761 6.45278i −0.808405 0.237369i −0.148689 0.988884i \(-0.547505\pi\)
−0.659716 + 0.751515i \(0.729324\pi\)
\(740\) 14.0207 + 16.1808i 0.515412 + 0.594817i
\(741\) −23.5733 + 15.1497i −0.865988 + 0.556536i
\(742\) 0.333440 0.384811i 0.0122410 0.0141268i
\(743\) 2.63247 18.3092i 0.0965759 0.671700i −0.882814 0.469722i \(-0.844354\pi\)
0.979390 0.201978i \(-0.0647369\pi\)
\(744\) 9.06820 2.66266i 0.332456 0.0976179i
\(745\) −22.4185 14.4075i −0.821349 0.527849i
\(746\) 2.78006 + 19.3358i 0.101785 + 0.707933i
\(747\) −3.03130 6.63762i −0.110909 0.242858i
\(748\) 0.855050 + 1.87230i 0.0312637 + 0.0684580i
\(749\) 0.821578 + 5.71420i 0.0300198 + 0.208792i
\(750\) 44.2465 + 28.4355i 1.61566 + 1.03832i
\(751\) 10.8518 3.18637i 0.395988 0.116272i −0.0776752 0.996979i \(-0.524750\pi\)
0.473663 + 0.880706i \(0.342932\pi\)
\(752\) −1.54171 + 10.7228i −0.0562203 + 0.391021i
\(753\) 15.6571 18.0692i 0.570575 0.658478i
\(754\) −12.4051 + 7.97230i −0.451768 + 0.290334i
\(755\) 34.8424 + 40.2103i 1.26804 + 1.46340i
\(756\) −0.0644597 0.0189271i −0.00234438 0.000688371i
\(757\) −17.9104 + 39.2183i −0.650964 + 1.42541i 0.239743 + 0.970836i \(0.422937\pi\)
−0.890708 + 0.454577i \(0.849791\pi\)
\(758\) 22.5922 0.820585
\(759\) −11.8575 16.1298i −0.430401 0.585475i
\(760\) 27.1698 0.985552
\(761\) −9.88292 + 21.6406i −0.358256 + 0.784470i 0.641593 + 0.767046i \(0.278274\pi\)
−0.999848 + 0.0174248i \(0.994453\pi\)
\(762\) −49.0568 14.4044i −1.77714 0.521815i
\(763\) −7.77436 8.97209i −0.281451 0.324811i
\(764\) 12.5890 8.09043i 0.455452 0.292701i
\(765\) 9.22660 10.6481i 0.333589 0.384982i
\(766\) 3.81126 26.5079i 0.137707 0.957770i
\(767\) −2.99044 + 0.878072i −0.107979 + 0.0317054i
\(768\) 2.05592 + 1.32126i 0.0741865 + 0.0476768i
\(769\) −3.14179 21.8517i −0.113296 0.787991i −0.964676 0.263441i \(-0.915143\pi\)
0.851380 0.524550i \(-0.175766\pi\)
\(770\) 2.79097 + 6.11137i 0.100579 + 0.220238i
\(771\) −21.7518 47.6298i −0.783372 1.71534i
\(772\) −1.13934 7.92431i −0.0410059 0.285202i
\(773\) 25.8875 + 16.6369i 0.931109 + 0.598387i 0.915861 0.401496i \(-0.131510\pi\)
0.0152484 + 0.999884i \(0.495146\pi\)
\(774\)