Properties

Label 483.2.y.b.16.3
Level $483$
Weight $2$
Character 483.16
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 16.3
Character \(\chi\) \(=\) 483.16
Dual form 483.2.y.b.151.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.695372 - 2.00914i) q^{2} +(-0.888835 - 0.458227i) q^{3} +(-1.98101 + 1.55789i) q^{4} +(1.53680 + 0.146746i) q^{5} +(-0.302572 + 2.10444i) q^{6} +(0.278867 - 2.63101i) q^{7} +(0.930423 + 0.597946i) q^{8} +(0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.695372 - 2.00914i) q^{2} +(-0.888835 - 0.458227i) q^{3} +(-1.98101 + 1.55789i) q^{4} +(1.53680 + 0.146746i) q^{5} +(-0.302572 + 2.10444i) q^{6} +(0.278867 - 2.63101i) q^{7} +(0.930423 + 0.597946i) q^{8} +(0.580057 + 0.814576i) q^{9} +(-0.773810 - 3.18969i) q^{10} +(1.64903 - 4.76457i) q^{11} +(2.47466 - 0.476952i) q^{12} +(5.59522 + 1.64291i) q^{13} +(-5.48000 + 1.26925i) q^{14} +(-1.29872 - 0.834634i) q^{15} +(-0.633951 + 2.61318i) q^{16} +(1.71634 - 0.687119i) q^{17} +(1.23325 - 1.73185i) q^{18} +(-5.97581 - 2.39235i) q^{19} +(-3.27303 + 2.10345i) q^{20} +(-1.45347 + 2.21075i) q^{21} -10.7194 q^{22} +(-4.08657 - 2.50997i) q^{23} +(-0.552998 - 0.957820i) q^{24} +(-2.56943 - 0.495218i) q^{25} +(-0.589925 - 12.3840i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(3.54638 + 5.64652i) q^{28} +(0.309018 - 2.14926i) q^{29} +(-0.773810 + 3.18969i) q^{30} +(-0.253419 + 5.31991i) q^{31} +(7.89306 - 0.753696i) q^{32} +(-3.64897 + 3.47929i) q^{33} +(-2.57402 - 2.97057i) q^{34} +(0.814653 - 4.00241i) q^{35} +(-2.41812 - 0.710024i) q^{36} +(2.49405 + 3.50240i) q^{37} +(-0.651174 + 13.6698i) q^{38} +(-4.22041 - 4.02415i) q^{39} +(1.34212 + 1.05546i) q^{40} +(-0.514318 - 1.12620i) q^{41} +(5.45242 + 1.38293i) q^{42} +(-4.61679 + 2.96703i) q^{43} +(4.15590 + 12.0077i) q^{44} +(0.771893 + 1.33696i) q^{45} +(-2.20120 + 9.95587i) q^{46} +(1.17750 - 2.03949i) q^{47} +(1.76091 - 2.03219i) q^{48} +(-6.84447 - 1.46741i) q^{49} +(0.791748 + 5.50673i) q^{50} +(-1.84040 - 0.175737i) q^{51} +(-13.6437 + 5.46211i) q^{52} +(4.76235 + 4.54089i) q^{53} +(-1.88973 + 0.974225i) q^{54} +(3.23341 - 7.08019i) q^{55} +(1.83267 - 2.28121i) q^{56} +(4.21527 + 4.86468i) q^{57} +(-4.53307 + 0.873677i) q^{58} +(0.0726728 + 0.299561i) q^{59} +(3.87304 - 0.369831i) q^{60} +(-1.00295 + 0.517058i) q^{61} +(10.8647 - 3.19016i) q^{62} +(2.30492 - 1.29898i) q^{63} +(-4.76881 - 10.4422i) q^{64} +(8.35763 + 3.34589i) q^{65} +(9.52779 + 4.91192i) q^{66} +(-3.30229 - 0.636464i) q^{67} +(-2.32964 + 4.03506i) q^{68} +(2.48216 + 4.10352i) q^{69} +(-8.60791 + 1.14641i) q^{70} +(9.95447 - 11.4881i) q^{71} +(0.0526254 + 1.10474i) q^{72} +(9.61321 - 7.55991i) q^{73} +(5.30254 - 7.44637i) q^{74} +(2.05688 + 1.61755i) q^{75} +(15.5652 - 4.57035i) q^{76} +(-12.0758 - 5.66731i) q^{77} +(-5.15035 + 11.2777i) q^{78} +(-9.47874 + 9.03796i) q^{79} +(-1.35773 + 3.92290i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(-1.90506 + 1.81647i) q^{82} +(-2.42922 + 5.31924i) q^{83} +(-0.564765 - 6.64387i) q^{84} +(2.73850 - 0.804096i) q^{85} +(9.17157 + 7.21260i) q^{86} +(-1.25952 + 1.76874i) q^{87} +(4.38326 - 3.44703i) q^{88} +(-0.691732 - 14.5212i) q^{89} +(2.14939 - 2.48053i) q^{90} +(5.88283 - 14.2630i) q^{91} +(12.0058 - 1.39414i) q^{92} +(2.66297 - 4.61240i) q^{93} +(-4.91643 - 0.947564i) q^{94} +(-8.83253 - 4.55349i) q^{95} +(-7.36100 - 2.94690i) q^{96} +(-2.45897 - 5.38440i) q^{97} +(1.81122 + 14.7719i) q^{98} +(4.83764 - 1.42046i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.695372 2.00914i −0.491702 1.42068i −0.869104 0.494630i \(-0.835304\pi\)
0.377401 0.926050i \(-0.376818\pi\)
\(3\) −0.888835 0.458227i −0.513169 0.264557i
\(4\) −1.98101 + 1.55789i −0.990507 + 0.778944i
\(5\) 1.53680 + 0.146746i 0.687276 + 0.0656269i 0.432851 0.901466i \(-0.357508\pi\)
0.254425 + 0.967092i \(0.418114\pi\)
\(6\) −0.302572 + 2.10444i −0.123525 + 0.859133i
\(7\) 0.278867 2.63101i 0.105402 0.994430i
\(8\) 0.930423 + 0.597946i 0.328954 + 0.211406i
\(9\) 0.580057 + 0.814576i 0.193352 + 0.271525i
\(10\) −0.773810 3.18969i −0.244700 1.00867i
\(11\) 1.64903 4.76457i 0.497203 1.43657i −0.365477 0.930821i \(-0.619094\pi\)
0.862679 0.505752i \(-0.168785\pi\)
\(12\) 2.47466 0.476952i 0.714373 0.137684i
\(13\) 5.59522 + 1.64291i 1.55184 + 0.455660i 0.941649 0.336597i \(-0.109276\pi\)
0.610187 + 0.792257i \(0.291094\pi\)
\(14\) −5.48000 + 1.26925i −1.46459 + 0.339221i
\(15\) −1.29872 0.834634i −0.335327 0.215502i
\(16\) −0.633951 + 2.61318i −0.158488 + 0.653295i
\(17\) 1.71634 0.687119i 0.416274 0.166651i −0.154065 0.988061i \(-0.549236\pi\)
0.570338 + 0.821410i \(0.306812\pi\)
\(18\) 1.23325 1.73185i 0.290679 0.408201i
\(19\) −5.97581 2.39235i −1.37094 0.548843i −0.434821 0.900517i \(-0.643188\pi\)
−0.936123 + 0.351674i \(0.885613\pi\)
\(20\) −3.27303 + 2.10345i −0.731872 + 0.470345i
\(21\) −1.45347 + 2.21075i −0.317173 + 0.482426i
\(22\) −10.7194 −2.28538
\(23\) −4.08657 2.50997i −0.852109 0.523364i
\(24\) −0.552998 0.957820i −0.112880 0.195514i
\(25\) −2.56943 0.495218i −0.513887 0.0990436i
\(26\) −0.589925 12.3840i −0.115694 2.42871i
\(27\) −0.142315 0.989821i −0.0273885 0.190491i
\(28\) 3.54638 + 5.64652i 0.670203 + 1.06709i
\(29\) 0.309018 2.14926i 0.0573831 0.399108i −0.940806 0.338947i \(-0.889929\pi\)
0.998189 0.0601616i \(-0.0191616\pi\)
\(30\) −0.773810 + 3.18969i −0.141278 + 0.582355i
\(31\) −0.253419 + 5.31991i −0.0455153 + 0.955485i 0.854453 + 0.519529i \(0.173893\pi\)
−0.899968 + 0.435956i \(0.856410\pi\)
\(32\) 7.89306 0.753696i 1.39531 0.133236i
\(33\) −3.64897 + 3.47929i −0.635205 + 0.605666i
\(34\) −2.57402 2.97057i −0.441440 0.509449i
\(35\) 0.814653 4.00241i 0.137702 0.676531i
\(36\) −2.41812 0.710024i −0.403020 0.118337i
\(37\) 2.49405 + 3.50240i 0.410019 + 0.575791i 0.967013 0.254725i \(-0.0819851\pi\)
−0.556995 + 0.830516i \(0.688046\pi\)
\(38\) −0.651174 + 13.6698i −0.105634 + 2.21754i
\(39\) −4.22041 4.02415i −0.675806 0.644380i
\(40\) 1.34212 + 1.05546i 0.212208 + 0.166883i
\(41\) −0.514318 1.12620i −0.0803230 0.175883i 0.865209 0.501411i \(-0.167185\pi\)
−0.945533 + 0.325528i \(0.894458\pi\)
\(42\) 5.45242 + 1.38293i 0.841327 + 0.213391i
\(43\) −4.61679 + 2.96703i −0.704053 + 0.452467i −0.843057 0.537824i \(-0.819246\pi\)
0.139004 + 0.990292i \(0.455610\pi\)
\(44\) 4.15590 + 12.0077i 0.626526 + 1.81023i
\(45\) 0.771893 + 1.33696i 0.115067 + 0.199302i
\(46\) −2.20120 + 9.95587i −0.324549 + 1.46791i
\(47\) 1.17750 2.03949i 0.171756 0.297490i −0.767278 0.641315i \(-0.778389\pi\)
0.939034 + 0.343825i \(0.111723\pi\)
\(48\) 1.76091 2.03219i 0.254165 0.293322i
\(49\) −6.84447 1.46741i −0.977781 0.209629i
\(50\) 0.791748 + 5.50673i 0.111970 + 0.778769i
\(51\) −1.84040 0.175737i −0.257708 0.0246081i
\(52\) −13.6437 + 5.46211i −1.89204 + 0.757458i
\(53\) 4.76235 + 4.54089i 0.654159 + 0.623740i 0.942666 0.333738i \(-0.108310\pi\)
−0.288507 + 0.957478i \(0.593159\pi\)
\(54\) −1.88973 + 0.974225i −0.257160 + 0.132575i
\(55\) 3.23341 7.08019i 0.435993 0.954692i
\(56\) 1.83267 2.28121i 0.244901 0.304839i
\(57\) 4.21527 + 4.86468i 0.558326 + 0.644343i
\(58\) −4.53307 + 0.873677i −0.595221 + 0.114719i
\(59\) 0.0726728 + 0.299561i 0.00946120 + 0.0389996i 0.976347 0.216212i \(-0.0693701\pi\)
−0.966885 + 0.255211i \(0.917855\pi\)
\(60\) 3.87304 0.369831i 0.500008 0.0477449i
\(61\) −1.00295 + 0.517058i −0.128415 + 0.0662026i −0.521237 0.853412i \(-0.674529\pi\)
0.392822 + 0.919615i \(0.371499\pi\)
\(62\) 10.8647 3.19016i 1.37982 0.405151i
\(63\) 2.30492 1.29898i 0.290393 0.163656i
\(64\) −4.76881 10.4422i −0.596102 1.30528i
\(65\) 8.35763 + 3.34589i 1.03664 + 0.415007i
\(66\) 9.52779 + 4.91192i 1.17279 + 0.604615i
\(67\) −3.30229 0.636464i −0.403439 0.0777564i −0.0165046 0.999864i \(-0.505254\pi\)
−0.386934 + 0.922107i \(0.626466\pi\)
\(68\) −2.32964 + 4.03506i −0.282511 + 0.489323i
\(69\) 2.48216 + 4.10352i 0.298816 + 0.494006i
\(70\) −8.60791 + 1.14641i −1.02884 + 0.137022i
\(71\) 9.95447 11.4881i 1.18138 1.36338i 0.264416 0.964409i \(-0.414821\pi\)
0.916962 0.398975i \(-0.130634\pi\)
\(72\) 0.0526254 + 1.10474i 0.00620196 + 0.130195i
\(73\) 9.61321 7.55991i 1.12514 0.884820i 0.130837 0.991404i \(-0.458234\pi\)
0.994304 + 0.106584i \(0.0339912\pi\)
\(74\) 5.30254 7.44637i 0.616407 0.865623i
\(75\) 2.05688 + 1.61755i 0.237508 + 0.186779i
\(76\) 15.5652 4.57035i 1.78545 0.524255i
\(77\) −12.0758 5.66731i −1.37616 0.645850i
\(78\) −5.15035 + 11.2777i −0.583162 + 1.27695i
\(79\) −9.47874 + 9.03796i −1.06644 + 1.01685i −0.0666233 + 0.997778i \(0.521223\pi\)
−0.999818 + 0.0190716i \(0.993929\pi\)
\(80\) −1.35773 + 3.92290i −0.151799 + 0.438593i
\(81\) −0.327068 + 0.945001i −0.0363409 + 0.105000i
\(82\) −1.90506 + 1.81647i −0.210378 + 0.200595i
\(83\) −2.42922 + 5.31924i −0.266641 + 0.583863i −0.994835 0.101509i \(-0.967633\pi\)
0.728193 + 0.685372i \(0.240360\pi\)
\(84\) −0.564765 6.64387i −0.0616209 0.724906i
\(85\) 2.73850 0.804096i 0.297032 0.0872164i
\(86\) 9.17157 + 7.21260i 0.988996 + 0.777755i
\(87\) −1.25952 + 1.76874i −0.135034 + 0.189629i
\(88\) 4.38326 3.44703i 0.467257 0.367455i
\(89\) −0.691732 14.5212i −0.0733235 1.53925i −0.673383 0.739294i \(-0.735160\pi\)
0.600060 0.799955i \(-0.295143\pi\)
\(90\) 2.14939 2.48053i 0.226566 0.261471i
\(91\) 5.88283 14.2630i 0.616688 1.49516i
\(92\) 12.0058 1.39414i 1.25169 0.145349i
\(93\) 2.66297 4.61240i 0.276137 0.478284i
\(94\) −4.91643 0.947564i −0.507091 0.0977337i
\(95\) −8.83253 4.55349i −0.906198 0.467178i
\(96\) −7.36100 2.94690i −0.751279 0.300767i
\(97\) −2.45897 5.38440i −0.249671 0.546703i 0.742753 0.669566i \(-0.233520\pi\)
−0.992424 + 0.122863i \(0.960792\pi\)
\(98\) 1.81122 + 14.7719i 0.182961 + 1.49219i
\(99\) 4.83764 1.42046i 0.486201 0.142761i
\(100\) 5.86158 3.02186i 0.586158 0.302186i
\(101\) 9.94205 0.949351i 0.989271 0.0944639i 0.412144 0.911119i \(-0.364780\pi\)
0.577127 + 0.816655i \(0.304174\pi\)
\(102\) 0.926682 + 3.81983i 0.0917551 + 0.378220i
\(103\) 17.7609 3.42314i 1.75004 0.337292i 0.789143 0.614210i \(-0.210525\pi\)
0.960894 + 0.276918i \(0.0893130\pi\)
\(104\) 4.22355 + 4.87424i 0.414153 + 0.477958i
\(105\) −2.55810 + 3.18419i −0.249645 + 0.310745i
\(106\) 5.81171 12.7259i 0.564483 1.23604i
\(107\) −6.79223 + 3.50164i −0.656630 + 0.338516i −0.754136 0.656719i \(-0.771944\pi\)
0.0975056 + 0.995235i \(0.468914\pi\)
\(108\) 1.82396 + 1.73914i 0.175510 + 0.167349i
\(109\) 10.8820 4.35648i 1.04230 0.417275i 0.213575 0.976927i \(-0.431489\pi\)
0.828728 + 0.559651i \(0.189065\pi\)
\(110\) −16.4735 1.57303i −1.57069 0.149983i
\(111\) −0.611905 4.25589i −0.0580795 0.403952i
\(112\) 6.69852 + 2.39666i 0.632951 + 0.226463i
\(113\) −13.6947 + 15.8045i −1.28829 + 1.48677i −0.507986 + 0.861365i \(0.669610\pi\)
−0.780304 + 0.625401i \(0.784936\pi\)
\(114\) 6.84267 11.8518i 0.640875 1.11003i
\(115\) −5.91190 4.45700i −0.551287 0.415617i
\(116\) 2.73614 + 4.73914i 0.254045 + 0.440018i
\(117\) 1.90728 + 5.51071i 0.176328 + 0.509466i
\(118\) 0.551328 0.354317i 0.0507538 0.0326175i
\(119\) −1.32919 4.70733i −0.121847 0.431520i
\(120\) −0.709288 1.55312i −0.0647489 0.141780i
\(121\) −11.3352 8.91413i −1.03048 0.810376i
\(122\) 1.73627 + 1.65553i 0.157195 + 0.149885i
\(123\) −0.0589104 + 1.23668i −0.00531177 + 0.111508i
\(124\) −7.78580 10.9336i −0.699185 0.981868i
\(125\) −11.2823 3.31278i −1.00912 0.296304i
\(126\) −4.21261 3.72764i −0.375289 0.332085i
\(127\) 9.70632 + 11.2017i 0.861296 + 0.993989i 0.999993 + 0.00365414i \(0.00116315\pi\)
−0.138697 + 0.990335i \(0.544291\pi\)
\(128\) −6.18696 + 5.89926i −0.546855 + 0.521425i
\(129\) 5.46313 0.521666i 0.481002 0.0459301i
\(130\) 0.910718 19.1183i 0.0798752 1.67679i
\(131\) 1.48240 6.11054i 0.129518 0.533880i −0.869672 0.493631i \(-0.835670\pi\)
0.999190 0.0402496i \(-0.0128153\pi\)
\(132\) 1.80833 12.5772i 0.157395 1.09471i
\(133\) −7.96077 + 15.0553i −0.690286 + 1.30546i
\(134\) 1.01757 + 7.07735i 0.0879047 + 0.611390i
\(135\) −0.0734563 1.54204i −0.00632211 0.132718i
\(136\) 2.00778 + 0.386968i 0.172166 + 0.0331823i
\(137\) −4.32002 7.48250i −0.369084 0.639273i 0.620338 0.784334i \(-0.286995\pi\)
−0.989423 + 0.145062i \(0.953662\pi\)
\(138\) 6.51855 7.84048i 0.554896 0.667426i
\(139\) 13.4262 1.13879 0.569396 0.822063i \(-0.307177\pi\)
0.569396 + 0.822063i \(0.307177\pi\)
\(140\) 4.62146 + 9.19797i 0.390585 + 0.777370i
\(141\) −1.98115 + 1.27321i −0.166843 + 0.107223i
\(142\) −30.0033 12.0115i −2.51782 1.00798i
\(143\) 17.0545 23.9496i 1.42617 2.00277i
\(144\) −2.49636 + 0.999392i −0.208030 + 0.0832827i
\(145\) 0.790294 3.25764i 0.0656303 0.270532i
\(146\) −21.8737 14.0574i −1.81028 1.16340i
\(147\) 5.41120 + 4.44060i 0.446308 + 0.366254i
\(148\) −10.3971 3.05286i −0.854635 0.250943i
\(149\) 7.48570 1.44275i 0.613253 0.118195i 0.126839 0.991923i \(-0.459517\pi\)
0.486414 + 0.873729i \(0.338305\pi\)
\(150\) 1.81959 5.25737i 0.148569 0.429263i
\(151\) 1.89690 + 7.81914i 0.154368 + 0.636313i 0.995440 + 0.0953899i \(0.0304098\pi\)
−0.841072 + 0.540923i \(0.818075\pi\)
\(152\) −4.12953 5.79911i −0.334949 0.470370i
\(153\) 1.55529 + 0.999521i 0.125737 + 0.0808065i
\(154\) −2.98929 + 28.2029i −0.240884 + 2.27265i
\(155\) −1.17013 + 8.13843i −0.0939871 + 0.653695i
\(156\) 14.6299 + 1.39698i 1.17133 + 0.111848i
\(157\) −0.628442 + 0.494212i −0.0501551 + 0.0394424i −0.642922 0.765932i \(-0.722278\pi\)
0.592767 + 0.805374i \(0.298036\pi\)
\(158\) 24.7498 + 12.7594i 1.96899 + 1.01508i
\(159\) −2.15219 6.21834i −0.170680 0.493147i
\(160\) 12.2406 0.967707
\(161\) −7.74337 + 10.0519i −0.610263 + 0.792199i
\(162\) 2.12608 0.167040
\(163\) 6.88554 + 19.8945i 0.539317 + 1.55825i 0.804436 + 0.594039i \(0.202467\pi\)
−0.265119 + 0.964216i \(0.585411\pi\)
\(164\) 2.77337 + 1.42977i 0.216563 + 0.111646i
\(165\) −6.11830 + 4.81149i −0.476309 + 0.374574i
\(166\) 12.3763 + 1.18180i 0.960590 + 0.0917252i
\(167\) −2.09282 + 14.5559i −0.161947 + 1.12637i 0.733011 + 0.680217i \(0.238114\pi\)
−0.894958 + 0.446150i \(0.852795\pi\)
\(168\) −2.67425 + 1.18784i −0.206323 + 0.0916438i
\(169\) 17.6711 + 11.3565i 1.35931 + 0.873578i
\(170\) −3.51982 4.94289i −0.269958 0.379103i
\(171\) −1.51756 6.25545i −0.116050 0.478366i
\(172\) 4.52362 13.0702i 0.344923 0.996590i
\(173\) 7.52057 1.44947i 0.571778 0.110201i 0.104837 0.994489i \(-0.466568\pi\)
0.466941 + 0.884288i \(0.345356\pi\)
\(174\) 4.42949 + 1.30062i 0.335799 + 0.0985995i
\(175\) −2.01946 + 6.62212i −0.152657 + 0.500585i
\(176\) 11.4053 + 7.32973i 0.859705 + 0.552499i
\(177\) 0.0726728 0.299561i 0.00546242 0.0225164i
\(178\) −28.6943 + 11.4875i −2.15073 + 0.861021i
\(179\) 9.60815 13.4928i 0.718147 1.00850i −0.280667 0.959805i \(-0.590556\pi\)
0.998814 0.0486913i \(-0.0155050\pi\)
\(180\) −3.61196 1.44601i −0.269220 0.107779i
\(181\) −6.19395 + 3.98061i −0.460392 + 0.295876i −0.750203 0.661208i \(-0.770044\pi\)
0.289810 + 0.957084i \(0.406408\pi\)
\(182\) −32.7471 1.90140i −2.42738 0.140941i
\(183\) 1.12839 0.0834130
\(184\) −2.30141 4.77888i −0.169662 0.352304i
\(185\) 3.31888 + 5.74846i 0.244009 + 0.422636i
\(186\) −11.1187 2.14296i −0.815266 0.157130i
\(187\) −0.443524 9.31071i −0.0324337 0.680866i
\(188\) 0.844650 + 5.87467i 0.0616024 + 0.428454i
\(189\) −2.64392 + 0.0984036i −0.192317 + 0.00715781i
\(190\) −3.00672 + 20.9122i −0.218130 + 1.51713i
\(191\) −1.57332 + 6.48533i −0.113842 + 0.469262i 0.886141 + 0.463415i \(0.153376\pi\)
−0.999983 + 0.00584664i \(0.998139\pi\)
\(192\) −0.546223 + 11.4666i −0.0394203 + 0.827533i
\(193\) 14.3433 1.36962i 1.03245 0.0985871i 0.434949 0.900455i \(-0.356766\pi\)
0.597501 + 0.801868i \(0.296160\pi\)
\(194\) −9.10814 + 8.68459i −0.653926 + 0.623517i
\(195\) −5.89538 6.80363i −0.422177 0.487218i
\(196\) 15.8450 7.75595i 1.13179 0.553997i
\(197\) 10.9413 + 3.21266i 0.779536 + 0.228892i 0.647208 0.762314i \(-0.275937\pi\)
0.132328 + 0.991206i \(0.457755\pi\)
\(198\) −6.21787 8.73177i −0.441884 0.620540i
\(199\) 0.392253 8.23440i 0.0278061 0.583721i −0.941374 0.337366i \(-0.890464\pi\)
0.969180 0.246355i \(-0.0792330\pi\)
\(200\) −2.09455 1.99715i −0.148107 0.141220i
\(201\) 2.64355 + 2.07891i 0.186461 + 0.146635i
\(202\) −8.82081 19.3149i −0.620630 1.35899i
\(203\) −5.56857 1.41239i −0.390837 0.0991303i
\(204\) 3.91964 2.51900i 0.274430 0.176365i
\(205\) −0.625137 1.80621i −0.0436615 0.126152i
\(206\) −19.2280 33.3039i −1.33968 2.32039i
\(207\) −0.325885 4.78475i −0.0226506 0.332563i
\(208\) −7.84030 + 13.5798i −0.543627 + 0.941590i
\(209\) −21.2528 + 24.5271i −1.47009 + 1.69657i
\(210\) 8.17633 + 2.92541i 0.564220 + 0.201872i
\(211\) −1.19727 8.32716i −0.0824231 0.573266i −0.988623 0.150416i \(-0.951939\pi\)
0.906200 0.422850i \(-0.138970\pi\)
\(212\) −16.5085 1.57637i −1.13381 0.108265i
\(213\) −14.1120 + 5.64960i −0.966940 + 0.387104i
\(214\) 11.7584 + 11.2116i 0.803790 + 0.766412i
\(215\) −7.53046 + 3.88222i −0.513573 + 0.264765i
\(216\) 0.459447 1.00605i 0.0312614 0.0684530i
\(217\) 13.9261 + 2.15030i 0.945365 + 0.145972i
\(218\) −16.3198 18.8341i −1.10532 1.27560i
\(219\) −12.0087 + 2.31449i −0.811473 + 0.156399i
\(220\) 4.62469 + 19.0632i 0.311797 + 1.28524i
\(221\) 10.7322 1.02480i 0.721924 0.0689354i
\(222\) −8.12521 + 4.18883i −0.545328 + 0.281136i
\(223\) 27.1872 7.98289i 1.82059 0.534574i 0.821240 0.570583i \(-0.193283\pi\)
0.999351 + 0.0360095i \(0.0114647\pi\)
\(224\) 0.218131 20.9769i 0.0145745 1.40158i
\(225\) −1.08703 2.38025i −0.0724684 0.158684i
\(226\) 41.2765 + 16.5246i 2.74567 + 1.09920i
\(227\) 6.40170 + 3.30030i 0.424895 + 0.219049i 0.657393 0.753548i \(-0.271659\pi\)
−0.232497 + 0.972597i \(0.574690\pi\)
\(228\) −15.9291 3.07009i −1.05493 0.203322i
\(229\) −4.80489 + 8.32232i −0.317516 + 0.549954i −0.979969 0.199149i \(-0.936182\pi\)
0.662453 + 0.749103i \(0.269515\pi\)
\(230\) −4.84378 + 14.9771i −0.319390 + 0.987563i
\(231\) 8.13648 + 10.5708i 0.535341 + 0.695505i
\(232\) 1.57266 1.81495i 0.103250 0.119157i
\(233\) 0.977456 + 20.5193i 0.0640353 + 1.34427i 0.770917 + 0.636935i \(0.219798\pi\)
−0.706882 + 0.707331i \(0.749899\pi\)
\(234\) 9.74555 7.66399i 0.637087 0.501011i
\(235\) 2.10886 2.96149i 0.137567 0.193186i
\(236\) −0.610649 0.480220i −0.0397499 0.0312596i
\(237\) 12.5665 3.68985i 0.816280 0.239681i
\(238\) −8.53343 + 5.94388i −0.553140 + 0.385284i
\(239\) −3.19680 + 7.00001i −0.206784 + 0.452793i −0.984400 0.175946i \(-0.943701\pi\)
0.777616 + 0.628739i \(0.216429\pi\)
\(240\) 3.00437 2.86466i 0.193931 0.184913i
\(241\) 1.08577 3.13713i 0.0699407 0.202080i −0.904613 0.426233i \(-0.859840\pi\)
0.974554 + 0.224153i \(0.0719615\pi\)
\(242\) −10.0276 + 28.9728i −0.644597 + 1.86244i
\(243\) 0.723734 0.690079i 0.0464276 0.0442686i
\(244\) 1.18135 2.58679i 0.0756280 0.165602i
\(245\) −10.3032 3.25950i −0.658248 0.208242i
\(246\) 2.52564 0.741594i 0.161029 0.0472823i
\(247\) −29.5056 23.2034i −1.87739 1.47640i
\(248\) −3.41681 + 4.79824i −0.216968 + 0.304688i
\(249\) 4.59659 3.61480i 0.291297 0.229079i
\(250\) 1.18953 + 24.9714i 0.0752327 + 1.57933i
\(251\) 18.4164 21.2536i 1.16243 1.34152i 0.233019 0.972472i \(-0.425140\pi\)
0.929412 0.369044i \(-0.120315\pi\)
\(252\) −2.54242 + 6.16410i −0.160157 + 0.388302i
\(253\) −18.6978 + 15.3317i −1.17552 + 0.963898i
\(254\) 15.7563 27.2907i 0.988639 1.71237i
\(255\) −2.80253 0.540144i −0.175501 0.0338251i
\(256\) −4.25232 2.19222i −0.265770 0.137014i
\(257\) −5.27430 2.11151i −0.329002 0.131713i 0.201280 0.979534i \(-0.435490\pi\)
−0.530282 + 0.847821i \(0.677914\pi\)
\(258\) −4.84701 10.6135i −0.301762 0.660766i
\(259\) 9.91036 5.58517i 0.615800 0.347045i
\(260\) −21.7691 + 6.39199i −1.35006 + 0.396414i
\(261\) 1.92999 0.994978i 0.119463 0.0615876i
\(262\) −13.3078 + 1.27074i −0.822157 + 0.0785065i
\(263\) 2.19860 + 9.06277i 0.135572 + 0.558834i 0.998562 + 0.0536133i \(0.0170738\pi\)
−0.862990 + 0.505221i \(0.831411\pi\)
\(264\) −5.47551 + 1.05532i −0.336995 + 0.0649504i
\(265\) 6.65240 + 7.67728i 0.408654 + 0.471612i
\(266\) 35.7839 + 5.52532i 2.19405 + 0.338779i
\(267\) −6.03918 + 13.2240i −0.369592 + 0.809294i
\(268\) 7.53342 3.88375i 0.460177 0.237238i
\(269\) −15.2866 14.5757i −0.932040 0.888698i 0.0619603 0.998079i \(-0.480265\pi\)
−0.994000 + 0.109381i \(0.965113\pi\)
\(270\) −3.04710 + 1.21987i −0.185441 + 0.0742392i
\(271\) 11.3707 + 1.08577i 0.690719 + 0.0659557i 0.434512 0.900666i \(-0.356921\pi\)
0.256208 + 0.966622i \(0.417527\pi\)
\(272\) 0.707491 + 4.92071i 0.0428979 + 0.298362i
\(273\) −11.7645 + 9.98175i −0.712022 + 0.604123i
\(274\) −12.0294 + 13.8827i −0.726722 + 0.838682i
\(275\) −6.59659 + 11.4256i −0.397789 + 0.688991i
\(276\) −11.3100 4.26222i −0.680783 0.256556i
\(277\) −7.71358 13.3603i −0.463464 0.802744i 0.535666 0.844430i \(-0.320060\pi\)
−0.999131 + 0.0416860i \(0.986727\pi\)
\(278\) −9.33617 26.9751i −0.559946 1.61786i
\(279\) −4.48047 + 2.87942i −0.268239 + 0.172387i
\(280\) 3.15120 3.23681i 0.188320 0.193437i
\(281\) 7.58625 + 16.6116i 0.452558 + 0.990963i 0.989121 + 0.147103i \(0.0469949\pi\)
−0.536564 + 0.843860i \(0.680278\pi\)
\(282\) 3.93570 + 3.09507i 0.234367 + 0.184309i
\(283\) −4.89509 4.66746i −0.290983 0.277452i 0.530500 0.847685i \(-0.322004\pi\)
−0.821483 + 0.570233i \(0.806853\pi\)
\(284\) −1.82283 + 38.2660i −0.108165 + 2.27067i
\(285\) 5.76414 + 8.09460i 0.341438 + 0.479483i
\(286\) −59.9775 17.6110i −3.54654 1.04136i
\(287\) −3.10647 + 1.03912i −0.183369 + 0.0613372i
\(288\) 5.19237 + 5.99231i 0.305963 + 0.353100i
\(289\) −9.82979 + 9.37268i −0.578223 + 0.551334i
\(290\) −7.09461 + 0.677453i −0.416610 + 0.0397814i
\(291\) −0.281652 + 5.91261i −0.0165108 + 0.346603i
\(292\) −7.26642 + 29.9526i −0.425235 + 1.75284i
\(293\) −1.00809 + 7.01141i −0.0588931 + 0.409611i 0.938955 + 0.344041i \(0.111796\pi\)
−0.997848 + 0.0655703i \(0.979113\pi\)
\(294\) 5.15901 13.9598i 0.300880 0.814149i
\(295\) 0.0677238 + 0.471029i 0.00394303 + 0.0274244i
\(296\) 0.226271 + 4.75002i 0.0131517 + 0.276089i
\(297\) −4.95076 0.954180i −0.287272 0.0553672i
\(298\) −8.10404 14.0366i −0.469455 0.813119i
\(299\) −18.7416 20.7577i −1.08386 1.20045i
\(300\) −6.59468 −0.380744
\(301\) 6.51882 + 12.9742i 0.375739 + 0.747822i
\(302\) 14.3907 9.24836i 0.828094 0.532184i
\(303\) −9.27187 3.71190i −0.532655 0.213243i
\(304\) 10.0400 14.0992i 0.575834 0.808646i
\(305\) −1.61721 + 0.647434i −0.0926013 + 0.0370720i
\(306\) 0.926682 3.81983i 0.0529749 0.218365i
\(307\) 6.98716 + 4.49037i 0.398778 + 0.256279i 0.724625 0.689143i \(-0.242013\pi\)
−0.325847 + 0.945423i \(0.605649\pi\)
\(308\) 32.7514 7.58569i 1.86618 0.432235i
\(309\) −17.3551 5.09592i −0.987298 0.289897i
\(310\) 17.1650 3.30828i 0.974905 0.187897i
\(311\) −8.91929 + 25.7706i −0.505766 + 1.46132i 0.346421 + 0.938079i \(0.387397\pi\)
−0.852187 + 0.523237i \(0.824724\pi\)
\(312\) −1.52054 6.26774i −0.0860835 0.354841i
\(313\) −4.76663 6.69379i −0.269426 0.378356i 0.657591 0.753375i \(-0.271575\pi\)
−0.927017 + 0.375019i \(0.877636\pi\)
\(314\) 1.42994 + 0.918969i 0.0806964 + 0.0518604i
\(315\) 3.73281 1.65803i 0.210320 0.0934193i
\(316\) 4.69740 32.6711i 0.264249 1.83789i
\(317\) −8.71170 0.831867i −0.489298 0.0467223i −0.152508 0.988302i \(-0.548735\pi\)
−0.336790 + 0.941580i \(0.609341\pi\)
\(318\) −10.9970 + 8.64812i −0.616680 + 0.484962i
\(319\) −9.73075 5.01655i −0.544817 0.280873i
\(320\) −5.79634 16.7474i −0.324025 0.936209i
\(321\) 7.64172 0.426519
\(322\) 25.5802 + 8.56776i 1.42553 + 0.477462i
\(323\) −11.9003 −0.662153
\(324\) −0.824278 2.38160i −0.0457932 0.132311i
\(325\) −13.5630 6.99219i −0.752338 0.387857i
\(326\) 35.1828 27.6681i 1.94860 1.53239i
\(327\) −11.6685 1.11421i −0.645271 0.0616160i
\(328\) 0.194874 1.35538i 0.0107601 0.0748382i
\(329\) −5.03756 3.66676i −0.277730 0.202155i
\(330\) 13.9215 + 8.94678i 0.766351 + 0.492504i
\(331\) −10.8687 15.2629i −0.597396 0.838926i 0.399574 0.916701i \(-0.369158\pi\)
−0.996971 + 0.0777748i \(0.975218\pi\)
\(332\) −3.47447 14.3219i −0.190686 0.786019i
\(333\) −1.40628 + 4.06318i −0.0770637 + 0.222661i
\(334\) 30.7001 5.91696i 1.67984 0.323762i
\(335\) −4.98155 1.46271i −0.272171 0.0799166i
\(336\) −4.85567 5.19968i −0.264899 0.283666i
\(337\) −5.29331 3.40180i −0.288345 0.185308i 0.388470 0.921461i \(-0.373004\pi\)
−0.676815 + 0.736153i \(0.736640\pi\)
\(338\) 10.5289 43.4008i 0.572697 2.36069i
\(339\) 19.4144 7.77235i 1.05445 0.422136i
\(340\) −4.17231 + 5.85920i −0.226276 + 0.317759i
\(341\) 24.9292 + 9.98015i 1.34999 + 0.540455i
\(342\) −11.5128 + 7.39885i −0.622543 + 0.400084i
\(343\) −5.76946 + 17.5987i −0.311522 + 0.950239i
\(344\) −6.06968 −0.327255
\(345\) 3.21239 + 6.67053i 0.172949 + 0.359129i
\(346\) −8.14179 14.1020i −0.437705 0.758128i
\(347\) 1.04599 + 0.201598i 0.0561518 + 0.0108224i 0.217250 0.976116i \(-0.430291\pi\)
−0.161098 + 0.986938i \(0.551504\pi\)
\(348\) −0.260382 5.46609i −0.0139579 0.293013i
\(349\) 0.525382 + 3.65411i 0.0281230 + 0.195600i 0.999040 0.0438184i \(-0.0139523\pi\)
−0.970916 + 0.239418i \(0.923043\pi\)
\(350\) 14.7091 0.547454i 0.786233 0.0292627i
\(351\) 0.829900 5.77208i 0.0442968 0.308091i
\(352\) 9.42489 38.8499i 0.502348 2.07071i
\(353\) 0.358290 7.52143i 0.0190698 0.400325i −0.969072 0.246779i \(-0.920628\pi\)
0.988142 0.153546i \(-0.0490693\pi\)
\(354\) −0.652397 + 0.0622964i −0.0346745 + 0.00331101i
\(355\) 16.9838 16.1940i 0.901408 0.859491i
\(356\) 23.9928 + 27.6892i 1.27162 + 1.46752i
\(357\) −0.975593 + 4.79311i −0.0516339 + 0.253678i
\(358\) −33.7902 9.92168i −1.78587 0.524377i
\(359\) −9.85407 13.8381i −0.520078 0.730347i 0.468097 0.883677i \(-0.344940\pi\)
−0.988175 + 0.153330i \(0.951000\pi\)
\(360\) −0.0812424 + 1.70549i −0.00428185 + 0.0898871i
\(361\) 16.2360 + 15.4810i 0.854525 + 0.814787i
\(362\) 12.3047 + 9.67653i 0.646721 + 0.508587i
\(363\) 5.99047 + 13.1173i 0.314418 + 0.688480i
\(364\) 10.5661 + 37.4199i 0.553814 + 1.96134i
\(365\) 15.8829 10.2073i 0.831350 0.534276i
\(366\) −0.784651 2.26710i −0.0410144 0.118503i
\(367\) 16.2620 + 28.1666i 0.848869 + 1.47028i 0.882218 + 0.470840i \(0.156049\pi\)
−0.0333496 + 0.999444i \(0.510617\pi\)
\(368\) 9.14968 9.08775i 0.476960 0.473732i
\(369\) 0.619042 1.07221i 0.0322260 0.0558171i
\(370\) 9.24164 10.6654i 0.480450 0.554469i
\(371\) 13.2752 11.2635i 0.689215 0.584772i
\(372\) 1.91022 + 13.2859i 0.0990401 + 0.688839i
\(373\) 25.5421 + 2.43898i 1.32252 + 0.126286i 0.732315 0.680966i \(-0.238440\pi\)
0.590207 + 0.807252i \(0.299046\pi\)
\(374\) −18.3981 + 7.36551i −0.951346 + 0.380861i
\(375\) 8.51010 + 8.11436i 0.439459 + 0.419024i
\(376\) 2.31508 1.19350i 0.119391 0.0615503i
\(377\) 5.26006 11.5179i 0.270907 0.593204i
\(378\) 2.03621 + 5.24359i 0.104732 + 0.269701i
\(379\) −19.0598 21.9962i −0.979035 1.12987i −0.991521 0.129944i \(-0.958520\pi\)
0.0124863 0.999922i \(-0.496025\pi\)
\(380\) 24.5912 4.73956i 1.26150 0.243134i
\(381\) −3.49441 14.4041i −0.179024 0.737947i
\(382\) 14.1240 1.34868i 0.722647 0.0690045i
\(383\) −15.4267 + 7.95299i −0.788265 + 0.406379i −0.804846 0.593484i \(-0.797752\pi\)
0.0165810 + 0.999863i \(0.494722\pi\)
\(384\) 8.20239 2.40844i 0.418576 0.122905i
\(385\) −17.7264 10.4816i −0.903420 0.534191i
\(386\) −12.7257 27.8653i −0.647719 1.41831i
\(387\) −5.09487 2.03968i −0.258987 0.103683i
\(388\) 13.2595 + 6.83577i 0.673152 + 0.347034i
\(389\) −17.2223 3.31933i −0.873207 0.168297i −0.267089 0.963672i \(-0.586062\pi\)
−0.606118 + 0.795375i \(0.707274\pi\)
\(390\) −9.57000 + 16.5757i −0.484596 + 0.839345i
\(391\) −8.73859 1.50000i −0.441930 0.0758581i
\(392\) −5.49082 5.45793i −0.277328 0.275667i
\(393\) −4.11762 + 4.75199i −0.207706 + 0.239706i
\(394\) −1.15358 24.2167i −0.0581166 1.22002i
\(395\) −15.8932 + 12.4985i −0.799673 + 0.628869i
\(396\) −7.37052 + 10.3504i −0.370383 + 0.520129i
\(397\) 25.1079 + 19.7451i 1.26013 + 0.990979i 0.999675 + 0.0254931i \(0.00811559\pi\)
0.260457 + 0.965486i \(0.416127\pi\)
\(398\) −16.8169 + 4.93788i −0.842953 + 0.247513i
\(399\) 13.9745 9.73383i 0.699602 0.487301i
\(400\) 2.92299 6.40045i 0.146149 0.320023i
\(401\) 16.1909 15.4380i 0.808536 0.770937i −0.168116 0.985767i \(-0.553768\pi\)
0.976651 + 0.214830i \(0.0689198\pi\)
\(402\) 2.33858 6.75688i 0.116638 0.337003i
\(403\) −10.1580 + 29.3498i −0.506008 + 1.46202i
\(404\) −18.2164 + 17.3693i −0.906298 + 0.864154i
\(405\) −0.641312 + 1.40428i −0.0318671 + 0.0697791i
\(406\) 1.03453 + 12.1702i 0.0513430 + 0.603997i
\(407\) 20.8002 6.10749i 1.03103 0.302737i
\(408\) −1.60727 1.26397i −0.0795717 0.0625758i
\(409\) 4.91389 6.90059i 0.242976 0.341212i −0.675021 0.737798i \(-0.735866\pi\)
0.917998 + 0.396586i \(0.129805\pi\)
\(410\) −3.19424 + 2.51198i −0.157752 + 0.124058i
\(411\) 0.411110 + 8.63026i 0.0202785 + 0.425699i
\(412\) −29.8518 + 34.4508i −1.47069 + 1.69727i
\(413\) 0.808416 0.107665i 0.0397796 0.00529787i
\(414\) −9.38664 + 3.98193i −0.461328 + 0.195701i
\(415\) −4.51379 + 7.81811i −0.221573 + 0.383776i
\(416\) 45.4017 + 8.75046i 2.22600 + 0.429027i
\(417\) −11.9336 6.15222i −0.584393 0.301276i
\(418\) 64.0571 + 25.6446i 3.13313 + 1.25432i
\(419\) −3.35577 7.34812i −0.163940 0.358979i 0.809778 0.586737i \(-0.199588\pi\)
−0.973718 + 0.227758i \(0.926860\pi\)
\(420\) 0.107034 10.2932i 0.00522275 0.502255i
\(421\) −0.0805178 + 0.0236422i −0.00392420 + 0.00115225i −0.283694 0.958915i \(-0.591560\pi\)
0.279770 + 0.960067i \(0.409742\pi\)
\(422\) −15.8979 + 8.19595i −0.773899 + 0.398973i
\(423\) 2.34434 0.223857i 0.113985 0.0108843i
\(424\) 1.71579 + 7.07258i 0.0833261 + 0.343475i
\(425\) −4.75030 + 0.915545i −0.230423 + 0.0444105i
\(426\) 21.1640 + 24.4245i 1.02540 + 1.18337i
\(427\) 1.08070 + 2.78298i 0.0522986 + 0.134678i
\(428\) 8.00036 17.5183i 0.386712 0.846781i
\(429\) −26.1330 + 13.4725i −1.26171 + 0.650457i
\(430\) 13.0364 + 12.4302i 0.628672 + 0.599437i
\(431\) −1.64489 + 0.658515i −0.0792317 + 0.0317196i −0.410940 0.911663i \(-0.634799\pi\)
0.331708 + 0.943382i \(0.392375\pi\)
\(432\) 2.67680 + 0.255604i 0.128788 + 0.0122977i
\(433\) −3.04839 21.2020i −0.146496 1.01890i −0.921897 0.387435i \(-0.873361\pi\)
0.775401 0.631469i \(-0.217548\pi\)
\(434\) −5.36355 29.4748i −0.257459 1.41484i
\(435\) −2.19518 + 2.53337i −0.105251 + 0.121466i
\(436\) −14.7704 + 25.5831i −0.707375 + 1.22521i
\(437\) 18.4158 + 24.7756i 0.880949 + 1.18518i
\(438\) 13.0007 + 22.5178i 0.621196 + 1.07594i
\(439\) 5.07650 + 14.6676i 0.242288 + 0.700046i 0.998931 + 0.0462177i \(0.0147168\pi\)
−0.756643 + 0.653828i \(0.773162\pi\)
\(440\) 7.24201 4.65416i 0.345249 0.221878i
\(441\) −2.77487 6.42652i −0.132136 0.306025i
\(442\) −9.52182 20.8499i −0.452907 0.991728i
\(443\) −4.00499 3.14956i −0.190283 0.149640i 0.518473 0.855094i \(-0.326501\pi\)
−0.708756 + 0.705454i \(0.750743\pi\)
\(444\) 7.84240 + 7.47771i 0.372184 + 0.354876i
\(445\) 1.06789 22.4177i 0.0506227 1.06270i
\(446\) −34.9440 49.0720i −1.65465 2.32363i
\(447\) −7.31467 2.14778i −0.345972 0.101586i
\(448\) −28.8036 + 9.63482i −1.36084 + 0.455202i
\(449\) 2.69434 + 3.10943i 0.127154 + 0.146743i 0.815756 0.578396i \(-0.196321\pi\)
−0.688603 + 0.725139i \(0.741776\pi\)
\(450\) −4.02639 + 3.83915i −0.189806 + 0.180979i
\(451\) −6.21399 + 0.593364i −0.292605 + 0.0279404i
\(452\) 2.50774 52.6438i 0.117954 2.47616i
\(453\) 1.89690 7.81914i 0.0891243 0.367375i
\(454\) 2.17923 15.1569i 0.102276 0.711347i
\(455\) 11.1337 21.0560i 0.521958 0.987119i
\(456\) 1.01316 + 7.04671i 0.0474458 + 0.329993i
\(457\) −1.10954 23.2921i −0.0519021 1.08956i −0.863179 0.504897i \(-0.831530\pi\)
0.811277 0.584662i \(-0.198773\pi\)
\(458\) 20.0619 + 3.86662i 0.937432 + 0.180675i
\(459\) −0.924386 1.60108i −0.0431466 0.0747322i
\(460\) 18.6551 0.380696i 0.869797 0.0177500i
\(461\) −33.2558 −1.54888 −0.774438 0.632650i \(-0.781967\pi\)
−0.774438 + 0.632650i \(0.781967\pi\)
\(462\) 15.5803 23.6980i 0.724861 1.10253i
\(463\) 16.6978 10.7310i 0.776013 0.498713i −0.0916955 0.995787i \(-0.529229\pi\)
0.867708 + 0.497074i \(0.165592\pi\)
\(464\) 5.42051 + 2.17005i 0.251641 + 0.100742i
\(465\) 4.76930 6.69754i 0.221171 0.310591i
\(466\) 40.5466 16.2324i 1.87829 0.751952i
\(467\) −6.26858 + 25.8394i −0.290075 + 1.19571i 0.621115 + 0.783720i \(0.286680\pi\)
−0.911190 + 0.411987i \(0.864835\pi\)
\(468\) −12.3634 7.94548i −0.571499 0.367280i
\(469\) −2.59544 + 8.51088i −0.119847 + 0.392996i
\(470\) −7.41650 2.17768i −0.342098 0.100449i
\(471\) 0.785042 0.151304i 0.0361728 0.00697174i
\(472\) −0.111505 + 0.322173i −0.00513244 + 0.0148292i
\(473\) 6.52338 + 26.8897i 0.299945 + 1.23639i
\(474\) −16.1518 22.6820i −0.741877 1.04182i
\(475\) 14.1697 + 9.10632i 0.650151 + 0.417827i
\(476\) 9.96663 + 7.25456i 0.456820 + 0.332512i
\(477\) −0.936467 + 6.51327i −0.0428779 + 0.298222i
\(478\) 16.2870 + 1.55522i 0.744950 + 0.0711341i
\(479\) −5.10361 + 4.01353i −0.233190 + 0.183383i −0.727916 0.685666i \(-0.759511\pi\)
0.494726 + 0.869049i \(0.335268\pi\)
\(480\) −10.8799 5.60898i −0.496598 0.256014i
\(481\) 8.20064 + 23.6942i 0.373917 + 1.08036i
\(482\) −7.05797 −0.321482
\(483\) 11.4886 5.38625i 0.522750 0.245083i
\(484\) 36.3425 1.65193
\(485\) −2.98880 8.63557i −0.135714 0.392121i
\(486\) −1.88973 0.974225i −0.0857200 0.0441917i
\(487\) −1.43454 + 1.12813i −0.0650052 + 0.0511207i −0.650133 0.759820i \(-0.725287\pi\)
0.585128 + 0.810941i \(0.301044\pi\)
\(488\) −1.24234 0.118629i −0.0562383 0.00537010i
\(489\) 2.99606 20.8380i 0.135486 0.942329i
\(490\) 0.615748 + 22.9672i 0.0278166 + 1.03755i
\(491\) −11.2996 7.26180i −0.509943 0.327720i 0.260240 0.965544i \(-0.416198\pi\)
−0.770182 + 0.637824i \(0.779835\pi\)
\(492\) −1.80991 2.54166i −0.0815969 0.114587i
\(493\) −0.946421 3.90120i −0.0426247 0.175701i
\(494\) −26.1017 + 75.4159i −1.17437 + 3.39312i
\(495\) 7.64291 1.47305i 0.343523 0.0662087i
\(496\) −13.7412 4.03479i −0.617000 0.181167i
\(497\) −27.4493 29.3940i −1.23127 1.31850i
\(498\) −10.4590 6.72159i −0.468679 0.301202i
\(499\) −7.34472 + 30.2754i −0.328795 + 1.35531i 0.532166 + 0.846640i \(0.321378\pi\)
−0.860961 + 0.508671i \(0.830137\pi\)
\(500\) 27.5113 11.0139i 1.23034 0.492555i
\(501\) 8.53005 11.9788i 0.381095 0.535173i
\(502\) −55.5078 22.2220i −2.47744 0.991815i
\(503\) 10.4991 6.74736i 0.468131 0.300850i −0.285227 0.958460i \(-0.592069\pi\)
0.753358 + 0.657610i \(0.228433\pi\)
\(504\) 2.92127 + 0.169618i 0.130124 + 0.00755540i
\(505\) 15.4182 0.686102
\(506\) 43.8056 + 26.9054i 1.94740 + 1.19609i
\(507\) −10.5028 18.1914i −0.466447 0.807910i
\(508\) −36.6793 7.06936i −1.62738 0.313652i
\(509\) 0.0152231 + 0.319572i 0.000674752 + 0.0141648i 0.999180 0.0404983i \(-0.0128945\pi\)
−0.998505 + 0.0546631i \(0.982592\pi\)
\(510\) 0.863575 + 6.00629i 0.0382397 + 0.265963i
\(511\) −17.2094 27.4007i −0.761300 1.21213i
\(512\) −3.88076 + 26.9912i −0.171507 + 1.19286i
\(513\) −1.51756 + 6.25545i −0.0670017 + 0.276185i
\(514\) −0.574733 + 12.0651i −0.0253504 + 0.532170i
\(515\) 27.7973 2.65432i 1.22489 0.116963i
\(516\) −10.0099 + 9.54437i −0.440659 + 0.420168i
\(517\) −7.77555 8.97347i −0.341968 0.394653i
\(518\) −18.1128 16.0276i −0.795831 0.704212i
\(519\) −7.34873 2.15778i −0.322574 0.0947161i
\(520\) 5.77546 + 8.11050i 0.253271 + 0.355669i
\(521\) −1.97587 + 41.4786i −0.0865645 + 1.81721i 0.371653 + 0.928372i \(0.378791\pi\)
−0.458217 + 0.888840i \(0.651512\pi\)
\(522\) −3.34111 3.18574i −0.146237 0.139436i
\(523\) −10.5346 8.28454i −0.460648 0.362258i 0.360703 0.932681i \(-0.382537\pi\)
−0.821351 + 0.570423i \(0.806779\pi\)
\(524\) 6.58287 + 14.4145i 0.287574 + 0.629699i
\(525\) 4.82939 4.96061i 0.210772 0.216499i
\(526\) 16.6796 10.7193i 0.727264 0.467384i
\(527\) 3.22046 + 9.30491i 0.140285 + 0.405328i
\(528\) −6.77874 11.7411i −0.295007 0.510967i
\(529\) 10.4001 + 20.5143i 0.452180 + 0.891927i
\(530\) 10.7989 18.7042i 0.469073 0.812459i
\(531\) −0.201861 + 0.232960i −0.00876003 + 0.0101096i
\(532\) −7.68403 42.2267i −0.333145 1.83076i
\(533\) −1.02749 7.14632i −0.0445053 0.309541i
\(534\) 30.7683 + 2.93802i 1.33148 + 0.127141i
\(535\) −10.9521 + 4.38457i −0.473502 + 0.189562i
\(536\) −2.69195 2.56677i −0.116275 0.110868i
\(537\) −14.7228 + 7.59014i −0.635336 + 0.327539i
\(538\) −18.6549 + 40.8485i −0.804270 + 1.76110i
\(539\) −18.2783 + 30.1911i −0.787303 + 1.30042i
\(540\) 2.54784 + 2.94036i 0.109642 + 0.126533i
\(541\) −32.4333 + 6.25101i −1.39442 + 0.268752i −0.830472 0.557060i \(-0.811929\pi\)
−0.563946 + 0.825812i \(0.690717\pi\)
\(542\) −5.72538 23.6003i −0.245926 1.01372i
\(543\) 7.32942 0.699875i 0.314535 0.0300345i
\(544\) 13.0293 6.71707i 0.558627 0.287992i
\(545\) 17.3627 5.09814i 0.743735 0.218380i
\(546\) 28.2355 + 16.6956i 1.20837 + 0.714507i
\(547\) 0.544445 + 1.19217i 0.0232788 + 0.0509735i 0.920914 0.389765i \(-0.127444\pi\)
−0.897635 + 0.440739i \(0.854717\pi\)
\(548\) 20.2149 + 8.09283i 0.863538 + 0.345709i
\(549\) −1.00295 0.517058i −0.0428050 0.0220675i
\(550\) 27.5428 + 5.30844i 1.17443 + 0.226353i
\(551\) −6.98843 + 12.1043i −0.297717 + 0.515661i
\(552\) −0.144232 + 5.30221i −0.00613894 + 0.225677i
\(553\) 21.1357 + 27.4591i 0.898781 + 1.16768i
\(554\) −21.4790 + 24.7881i −0.912555 + 1.05315i
\(555\) −0.315837 6.63024i −0.0134065 0.281438i
\(556\) −26.5974 + 20.9164i −1.12798 + 0.887055i
\(557\) 5.15295 7.23631i 0.218337 0.306612i −0.690851 0.722997i \(-0.742764\pi\)
0.909188 + 0.416385i \(0.136703\pi\)
\(558\) 8.90077 + 6.99964i 0.376800 + 0.296319i
\(559\) −30.7065 + 9.01624i −1.29875 + 0.381346i
\(560\) 9.94257 + 4.66617i 0.420150 + 0.197181i
\(561\) −3.87219 + 8.47892i −0.163484 + 0.357980i
\(562\) 28.0998 26.7931i 1.18532 1.13020i
\(563\) 9.16668 26.4854i 0.386329 1.11623i −0.569421 0.822046i \(-0.692832\pi\)
0.955750 0.294179i \(-0.0950463\pi\)
\(564\) 1.94117 5.60865i 0.0817382 0.236167i
\(565\) −23.3652 + 22.2787i −0.982983 + 0.937272i
\(566\) −5.97370 + 13.0806i −0.251093 + 0.549817i
\(567\) 2.39510 + 1.12405i 0.100585 + 0.0472057i
\(568\) 16.1311 4.73652i 0.676846 0.198740i
\(569\) −13.5100 10.6244i −0.566369 0.445397i 0.293466 0.955969i \(-0.405191\pi\)
−0.859835 + 0.510572i \(0.829434\pi\)
\(570\) 12.2550 17.2097i 0.513305 0.720837i
\(571\) −24.2580 + 19.0767i −1.01516 + 0.798335i −0.979585 0.201032i \(-0.935570\pi\)
−0.0355804 + 0.999367i \(0.511328\pi\)
\(572\) 3.52570 + 74.0135i 0.147417 + 3.09466i
\(573\) 4.37018 5.04345i 0.182567 0.210693i
\(574\) 4.24789 + 5.51878i 0.177304 + 0.230350i
\(575\) 9.25720 + 8.47294i 0.386052 + 0.353346i
\(576\) 5.73982 9.94166i 0.239159 0.414236i
\(577\) 24.8880 + 4.79677i 1.03610 + 0.199692i 0.678820 0.734305i \(-0.262492\pi\)
0.357281 + 0.933997i \(0.383704\pi\)
\(578\) 25.6664 + 13.2320i 1.06758 + 0.550377i
\(579\) −13.3764 5.35510i −0.555904 0.222550i
\(580\) 3.50944 + 7.68461i 0.145722 + 0.319086i
\(581\) 13.3176 + 7.87466i 0.552506 + 0.326696i
\(582\) 12.0751 3.54558i 0.500531 0.146969i
\(583\) 29.4887 15.2025i 1.22130 0.629622i
\(584\) 13.4648 1.28573i 0.557176 0.0532038i
\(585\) 2.12242 + 8.74873i 0.0877512 + 0.361715i
\(586\) 14.7879 2.85014i 0.610884 0.117738i
\(587\) −2.28476 2.63675i −0.0943020 0.108830i 0.706637 0.707576i \(-0.250211\pi\)
−0.800939 + 0.598746i \(0.795666\pi\)
\(588\) −17.6376 0.366853i −0.727363 0.0151288i
\(589\) 14.2415 31.1845i 0.586810 1.28493i
\(590\) 0.899273 0.463607i 0.0370225 0.0190864i
\(591\) −8.25289 7.86912i −0.339479 0.323692i
\(592\) −10.7335 + 4.29704i −0.441144 + 0.176607i
\(593\) 24.4400 + 2.33374i 1.00363 + 0.0958350i 0.583910 0.811819i \(-0.301522\pi\)
0.419720 + 0.907654i \(0.362128\pi\)
\(594\) 1.52553 + 10.6103i 0.0625933 + 0.435346i
\(595\) −1.35191 7.42926i −0.0554229 0.304570i
\(596\) −12.5816 + 14.5200i −0.515364 + 0.594762i
\(597\) −4.12187 + 7.13929i −0.168697 + 0.292192i
\(598\) −28.6728 + 52.0890i −1.17252 + 2.13008i
\(599\) −15.0888 26.1346i −0.616512 1.06783i −0.990117 0.140242i \(-0.955212\pi\)
0.373605 0.927588i \(-0.378121\pi\)
\(600\) 0.946562 + 2.73491i 0.0386432 + 0.111652i
\(601\) 7.70095 4.94910i 0.314128 0.201878i −0.374070 0.927400i \(-0.622038\pi\)
0.688199 + 0.725522i \(0.258402\pi\)
\(602\) 21.5341 22.1192i 0.877665 0.901510i
\(603\) −1.39707 3.05915i −0.0568930 0.124578i
\(604\) −15.9391 12.5347i −0.648554 0.510029i
\(605\) −16.1118 15.3626i −0.655040 0.624579i
\(606\) −1.01034 + 21.2097i −0.0410423 + 0.861584i
\(607\) −18.6054 26.1276i −0.755169 1.06049i −0.995950 0.0899066i \(-0.971343\pi\)
0.240782 0.970579i \(-0.422596\pi\)
\(608\) −48.9705 14.3790i −1.98602 0.583147i
\(609\) 4.30235 + 3.80705i 0.174340 + 0.154269i
\(610\) 2.42535 + 2.79901i 0.0981996 + 0.113328i
\(611\) 9.93906 9.47687i 0.402091 0.383393i
\(612\) −4.63819 + 0.442893i −0.187488 + 0.0179029i
\(613\) 1.56437 32.8401i 0.0631842 1.32640i −0.715336 0.698781i \(-0.753726\pi\)
0.778520 0.627620i \(-0.215971\pi\)
\(614\) 4.16314 17.1607i 0.168011 0.692549i
\(615\) −0.272012 + 1.89188i −0.0109686 + 0.0762880i
\(616\) −7.84684 12.4937i −0.316158 0.503384i
\(617\) 3.52701 + 24.5309i 0.141992 + 0.987577i 0.928853 + 0.370447i \(0.120796\pi\)
−0.786861 + 0.617130i \(0.788295\pi\)
\(618\) 1.82981 + 38.4125i 0.0736059 + 1.54518i
\(619\) 25.4284 + 4.90092i 1.02205 + 0.196985i 0.672629 0.739980i \(-0.265165\pi\)
0.349425 + 0.936964i \(0.386377\pi\)
\(620\) −10.3607 17.9453i −0.416096 0.720700i
\(621\) −1.90284 + 4.40218i −0.0763583 + 0.176653i
\(622\) 57.9791 2.32475
\(623\) −38.3985 2.22954i −1.53840 0.0893247i
\(624\) 13.1914 8.47757i 0.528077 0.339375i
\(625\) −4.70604 1.88401i −0.188242 0.0753605i
\(626\) −10.1342 + 14.2315i −0.405045 + 0.568806i
\(627\) 30.1292 12.0619i 1.20325 0.481707i
\(628\) 0.475026 1.95808i 0.0189556 0.0781360i
\(629\) 6.68720 + 4.29760i 0.266636 + 0.171357i
\(630\) −5.92691 6.34681i −0.236134 0.252863i
\(631\) 29.3664 + 8.62275i 1.16906 + 0.343266i 0.807946 0.589257i \(-0.200579\pi\)
0.361111 + 0.932523i \(0.382398\pi\)
\(632\) −14.2234 + 2.74134i −0.565778 + 0.109045i
\(633\) −2.75156 + 7.95010i −0.109364 + 0.315988i
\(634\) 4.38653 + 18.0815i 0.174211 + 0.718109i
\(635\) 13.2728 + 18.6391i 0.526716 + 0.739669i
\(636\) 13.9510 + 8.96576i 0.553193 + 0.355515i
\(637\) −35.8855 19.4553i −1.42184 0.770846i
\(638\) −3.31249 + 23.0388i −0.131143 + 0.912117i
\(639\) 15.1321 + 1.44494i 0.598615 + 0.0571608i
\(640\) −10.3738 + 8.15804i −0.410060 + 0.322475i
\(641\) −8.64632 4.45749i −0.341509 0.176060i 0.278937 0.960310i \(-0.410018\pi\)
−0.620446 + 0.784249i \(0.713048\pi\)
\(642\) −5.31384 15.3533i −0.209720 0.605948i
\(643\) −15.3263 −0.604411 −0.302206 0.953243i \(-0.597723\pi\)
−0.302206 + 0.953243i \(0.597723\pi\)
\(644\) −0.319966 31.9762i −0.0126084 1.26004i
\(645\) 8.47228 0.333596
\(646\) 8.27517 + 23.9095i 0.325582 + 0.940708i
\(647\) 9.39039 + 4.84108i 0.369174 + 0.190323i 0.632824 0.774296i \(-0.281896\pi\)
−0.263649 + 0.964619i \(0.584926\pi\)
\(648\) −0.869371 + 0.683681i −0.0341521 + 0.0268575i
\(649\) 1.54712 + 0.147732i 0.0607298 + 0.00579900i
\(650\) −4.61703 + 32.1121i −0.181095 + 1.25954i
\(651\) −11.3927 8.29257i −0.446514 0.325011i
\(652\) −44.6337 28.6843i −1.74799 1.12336i
\(653\) −13.4194 18.8449i −0.525143 0.737460i 0.463770 0.885955i \(-0.346496\pi\)
−0.988913 + 0.148496i \(0.952557\pi\)
\(654\) 5.87536 + 24.2186i 0.229745 + 0.947021i
\(655\) 3.17485 9.17312i 0.124052 0.358423i
\(656\) 3.26902 0.630051i 0.127634 0.0245994i
\(657\) 11.7343 + 3.44551i 0.457800 + 0.134422i
\(658\) −3.86408 + 12.6709i −0.150638 + 0.493965i
\(659\) −11.6331 7.47611i −0.453159 0.291228i 0.294082 0.955780i \(-0.404986\pi\)
−0.747242 + 0.664552i \(0.768622\pi\)
\(660\) 4.62469 19.0632i 0.180016 0.742036i
\(661\) 10.1511 4.06389i 0.394832 0.158067i −0.165746 0.986168i \(-0.553003\pi\)
0.560578 + 0.828102i \(0.310579\pi\)
\(662\) −23.1076 + 32.4501i −0.898104 + 1.26121i
\(663\) −10.0087 4.00689i −0.388707 0.155615i
\(664\) −5.44082 + 3.49660i −0.211145 + 0.135694i
\(665\) −14.4434 + 21.9687i −0.560090 + 0.851909i
\(666\) 9.14141 0.354222
\(667\) −6.65741 + 8.00750i −0.257776 + 0.310052i
\(668\) −18.5305 32.0957i −0.716966 1.24182i
\(669\) −27.8229 5.36243i −1.07570 0.207324i
\(670\) 0.525222 + 11.0258i 0.0202911 + 0.425963i
\(671\) 0.809657 + 5.63129i 0.0312565 + 0.217394i
\(672\) −9.80607 + 18.5451i −0.378277 + 0.715392i
\(673\) −4.31043 + 29.9797i −0.166155 + 1.15563i 0.720586 + 0.693365i \(0.243873\pi\)
−0.886741 + 0.462267i \(0.847036\pi\)
\(674\) −3.15390 + 13.0005i −0.121484 + 0.500762i
\(675\) −0.124509 + 2.61376i −0.00479234 + 0.100604i
\(676\) −52.6988 + 5.03213i −2.02688 + 0.193543i
\(677\) 5.16831 4.92797i 0.198634 0.189397i −0.584233 0.811586i \(-0.698605\pi\)
0.782868 + 0.622188i \(0.213756\pi\)
\(678\) −29.1160 33.6017i −1.11819 1.29046i
\(679\) −14.8522 + 4.96806i −0.569973 + 0.190657i
\(680\) 3.02877 + 0.889326i 0.116148 + 0.0341041i
\(681\) −4.17777 5.86685i −0.160092 0.224818i
\(682\) 2.71650 57.0263i 0.104020 2.18365i
\(683\) −27.4260 26.1506i −1.04943 1.00063i −0.999998 0.00184754i \(-0.999412\pi\)
−0.0494273 0.998778i \(-0.515740\pi\)
\(684\) 12.7516 + 10.0280i 0.487569 + 0.383428i
\(685\) −5.54096 12.1330i −0.211709 0.463579i
\(686\) 39.3702 0.645934i 1.50316 0.0246619i
\(687\) 8.08426 5.19544i 0.308434 0.198218i
\(688\) −4.82656 13.9454i −0.184011 0.531665i
\(689\) 19.1862 + 33.2314i 0.730934 + 1.26602i
\(690\) 11.1682 11.0927i 0.425168 0.422290i
\(691\) 13.4545 23.3039i 0.511834 0.886522i −0.488072 0.872803i \(-0.662300\pi\)
0.999906 0.0137185i \(-0.00436689\pi\)
\(692\) −12.6402 + 14.5876i −0.480510 + 0.554538i
\(693\) −2.38819 13.1240i −0.0907198 0.498540i
\(694\) −0.322313 2.24174i −0.0122348 0.0850951i
\(695\) 20.6333 + 1.97024i 0.782665 + 0.0747354i
\(696\) −2.22950 + 0.892555i −0.0845088 + 0.0338322i
\(697\) −1.65658 1.57954i −0.0627474 0.0598295i
\(698\) 6.97630 3.59653i 0.264057 0.136131i
\(699\) 8.53371 18.6862i 0.322774 0.706777i
\(700\) −6.31594 16.2646i −0.238720 0.614744i
\(701\) −10.7743 12.4343i −0.406941 0.469635i 0.514873 0.857266i \(-0.327839\pi\)
−0.921815 + 0.387631i \(0.873294\pi\)
\(702\) −12.1740 + 2.34635i −0.459479 + 0.0885574i
\(703\) −6.52497 26.8963i −0.246094 1.01441i
\(704\) −57.6168 + 5.50173i −2.17151 + 0.207354i
\(705\) −3.23146 + 1.66594i −0.121704 + 0.0627428i
\(706\) −15.3608 + 4.51033i −0.578111 + 0.169749i
\(707\) 0.274756 26.4224i 0.0103333 0.993717i
\(708\) 0.322717 + 0.706652i 0.0121284 + 0.0265576i
\(709\) −9.31748 3.73016i −0.349925 0.140089i 0.190040 0.981776i \(-0.439138\pi\)
−0.539965 + 0.841687i \(0.681563\pi\)
\(710\) −44.3463 22.8621i −1.66429 0.857999i
\(711\) −12.8603 2.47862i −0.482299 0.0929556i
\(712\) 8.03932 13.9245i 0.301286 0.521843i
\(713\) 14.3884 21.1041i 0.538851 0.790356i
\(714\) 10.3085 1.37289i 0.385784 0.0513790i
\(715\) 29.7237 34.3030i 1.11160 1.28286i
\(716\) 1.98631 + 41.6978i 0.0742319 + 1.55832i
\(717\) 6.04902 4.75700i 0.225905 0.177653i
\(718\) −20.9505 + 29.4209i −0.781866 + 1.09798i
\(719\) 40.1079 + 31.5412i 1.49577 + 1.17629i 0.938167 + 0.346183i \(0.112522\pi\)
0.557606 + 0.830106i \(0.311720\pi\)
\(720\) −3.98306 + 1.16953i −0.148440 + 0.0435858i
\(721\) −4.05339 47.6838i −0.150956 1.77584i
\(722\) 19.8135 43.3854i 0.737381 1.61464i
\(723\) −2.40259 + 2.29087i −0.0893533 + 0.0851982i
\(724\) 6.06896 17.5351i 0.225551 0.651687i
\(725\) −1.85836 + 5.36937i −0.0690176 + 0.199413i
\(726\) 22.1890 21.1571i 0.823510 0.785215i
\(727\) −12.7538 + 27.9270i −0.473014 + 1.03576i 0.511311 + 0.859395i \(0.329160\pi\)
−0.984326 + 0.176361i \(0.943567\pi\)
\(728\) 14.0020 9.75296i 0.518949 0.361469i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) −31.5526 24.8132i −1.16781 0.918378i
\(731\) −5.88527 + 8.26471i −0.217675 + 0.305681i
\(732\) −2.23536 + 1.75791i −0.0826212 + 0.0649740i
\(733\) −2.23651 46.9502i −0.0826075 1.73415i −0.537208 0.843450i \(-0.680521\pi\)
0.454600 0.890696i \(-0.349782\pi\)
\(734\) 45.2826 52.2589i 1.67141 1.92891i
\(735\) 7.66427 + 7.61837i 0.282701 + 0.281008i
\(736\) −34.1473 16.7313i −1.25869 0.616724i
\(737\) −8.47806 + 14.6844i −0.312294 + 0.540908i
\(738\) −2.58469 0.498159i −0.0951438 0.0183375i
\(739\) −11.5710 5.96529i −0.425648 0.219437i 0.232073 0.972698i \(-0.425449\pi\)
−0.657721 + 0.753262i \(0.728479\pi\)
\(740\) −15.5302 6.21736i −0.570902 0.228555i
\(741\) 15.5932 + 34.1443i 0.572829 + 1.25432i
\(742\) −31.8612 18.8395i −1.16966 0.691620i
\(743\) −15.8206 + 4.64536i −0.580403 + 0.170422i −0.558739 0.829344i \(-0.688715\pi\)
−0.0216640 + 0.999765i \(0.506896\pi\)
\(744\) 5.23566 2.69917i 0.191949 0.0989564i
\(745\) 11.7157 1.11872i 0.429231 0.0409866i
\(746\) −12.8610 53.0139i −0.470876 1.94098i
\(747\) −5.74201 + 1.10668i −0.210089 + 0.0404914i
\(748\) 15.3837 + 17.7537i 0.562482 + 0.649139i
\(749\) 7.31873 + 18.8470i 0.267421 + 0.688653i
\(750\) 10.3852 22.7405i 0.379215 0.830366i
\(751\) 14.9107 7.68699i 0.544098 0.280502i −0.164186 0.986429i \(-0.552500\pi\)
0.708284 + 0.705927i \(0.249469\pi\)
\(752\) 4.58307 + 4.36995i 0.167128 + 0.159356i
\(753\) −26.1081 + 10.4521i −0.951432 + 0.380896i
\(754\) −26.7989 2.55898i −0.975958 0.0931927i
\(755\) 1.76772 + 12.2948i 0.0643341 + 0.447453i
\(756\) 5.08434 4.31387i 0.184916 0.156894i
\(757\) 8.18478 9.44574i 0.297481 0.343311i −0.587257 0.809401i \(-0.699792\pi\)
0.884738 + 0.466089i \(0.154338\pi\)
\(758\) −30.9398 + 53.5894i −1.12379 + 1.94645i
\(759\) 23.6447 5.05956i 0.858248 0.183650i
\(760\) −5.49524 9.51804i −0.199333 0.345256i
\(761\) 8.52300 + 24.6256i 0.308959 + 0.892677i 0.987431 + 0.158051i \(0.0505211\pi\)
−0.678472 + 0.734626i \(0.737358\pi\)
\(762\) −26.5101 + 17.0370i −0.960360 + 0.617186i
\(763\) −8.42734 29.8455i −0.305090 1.08048i
\(764\) −6.98663 15.2986i −0.252768 0.553484i
\(765\) 2.24348 + 1.76429i 0.0811132 + 0.0637882i
\(766\) 26.7060 + 25.4641i 0.964926 + 0.920055i
\(767\) −0.0855306 + 1.79551i −0.00308833 + 0.0648320i
\(768\) 2.77508 + 3.89705i 0.100137 + 0.140623i
\(769\) −3.02374 0.887850i −0.109039 0.0320167i 0.226758 0.973951i \(-0.427187\pi\)
−0.335797 + 0.941934i \(0.609006\pi\)
\(770\) −8.73260 + 42.9035i −0.314701 + 1.54613i
\(771\) 3.72044 + 4.29361i 0.133988 + 0.154631i
\(772\) −26.2805 + 25.0584i −0.945856 + 0.901872i
\(773\) −21.3892