Properties

Label 483.2.y.b.4.13
Level $483$
Weight $2$
Character 483.4
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 4.13
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.900476 - 1.26454i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.134072 - 0.387376i) q^{4} +(-0.164040 + 3.44363i) q^{5} +(-1.01660 - 1.17322i) q^{6} +(-1.20985 + 2.35293i) q^{7} +(2.36844 + 0.695436i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.900476 - 1.26454i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.134072 - 0.387376i) q^{4} +(-0.164040 + 3.44363i) q^{5} +(-1.01660 - 1.17322i) q^{6} +(-1.20985 + 2.35293i) q^{7} +(2.36844 + 0.695436i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(4.20690 + 3.30834i) q^{10} +(-0.730670 - 1.02608i) q^{11} +(-0.408065 + 0.0389655i) q^{12} +(-0.0342560 + 0.238256i) q^{13} +(1.88594 + 3.64866i) q^{14} +(3.30789 + 0.971284i) q^{15} +(3.65657 - 2.87556i) q^{16} +(4.75064 - 0.915610i) q^{17} +(-1.37982 + 0.711347i) q^{18} +(7.12767 + 1.37375i) q^{19} +(1.35597 - 0.398150i) q^{20} +(2.00137 + 1.73047i) q^{21} -1.95548 q^{22} +(-4.29238 + 2.13904i) q^{23} +(1.23421 - 2.13772i) q^{24} +(-6.85434 - 0.654511i) q^{25} +(0.270438 + 0.257862i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(1.07367 + 0.153203i) q^{28} +(-1.56729 - 1.80874i) q^{29} +(4.20690 - 3.30834i) q^{30} +(-1.10815 + 1.05661i) q^{31} +(-0.108705 - 2.28199i) q^{32} +(-1.16942 + 0.468166i) q^{33} +(3.12001 - 6.83186i) q^{34} +(-7.90416 - 4.55224i) q^{35} +(-0.0583379 + 0.405749i) q^{36} +(-2.45021 - 1.26317i) q^{37} +(8.15545 - 7.77621i) q^{38} +(0.223464 + 0.0894614i) q^{39} +(-2.78335 + 8.04195i) q^{40} +(5.95377 + 3.82625i) q^{41} +(3.99043 - 0.972574i) q^{42} +(-0.169906 + 0.0498889i) q^{43} +(-0.299517 + 0.420613i) q^{44} +(1.72377 - 2.98566i) q^{45} +(-1.16028 + 7.35404i) q^{46} +(-5.18074 - 8.97330i) q^{47} +(-1.93243 - 4.23143i) q^{48} +(-4.07255 - 5.69336i) q^{49} +(-6.99983 + 8.07823i) q^{50} +(0.230205 - 4.83259i) q^{51} +(0.0968874 - 0.0186735i) q^{52} +(-5.90148 - 2.36260i) q^{53} +(0.365990 + 1.50863i) q^{54} +(3.65331 - 2.34784i) q^{55} +(-4.50176 + 4.73139i) q^{56} +(3.01543 - 6.60288i) q^{57} +(-3.69853 + 0.353167i) q^{58} +(-10.5379 - 8.28708i) q^{59} +(-0.0672437 - 1.41162i) q^{60} +(1.03191 + 4.25359i) q^{61} +(0.338275 + 2.35275i) q^{62} +(2.15353 - 1.53698i) q^{63} +(4.84314 + 3.11250i) q^{64} +(-0.814847 - 0.157049i) q^{65} +(-0.461021 + 1.90035i) q^{66} +(-1.12861 - 0.107769i) q^{67} +(-0.991613 - 1.71752i) q^{68} +(1.06677 + 4.67568i) q^{69} +(-12.8740 + 5.89595i) q^{70} +(-5.24373 - 11.4822i) q^{71} +(-1.78648 - 1.70341i) q^{72} +(4.64673 + 13.4258i) q^{73} +(-3.80369 + 1.96094i) q^{74} +(-2.25203 + 6.50682i) q^{75} +(-0.423465 - 2.94527i) q^{76} +(3.29830 - 0.477813i) q^{77} +(0.314351 - 0.202021i) q^{78} +(11.9403 - 4.78018i) q^{79} +(9.30254 + 13.0636i) q^{80} +(0.580057 + 0.814576i) q^{81} +(10.1997 - 4.08333i) q^{82} +(15.1959 - 9.76581i) q^{83} +(0.402013 - 1.00729i) q^{84} +(2.37373 + 16.5097i) q^{85} +(-0.0899096 + 0.259777i) q^{86} +(-2.12726 + 1.09668i) q^{87} +(-1.01697 - 2.93835i) q^{88} +(-11.3420 - 10.8145i) q^{89} +(-2.22327 - 4.86829i) q^{90} +(-0.519155 - 0.368855i) q^{91} +(1.40410 + 1.37598i) q^{92} +(0.765575 + 1.32602i) q^{93} +(-16.0122 - 1.52898i) q^{94} +(-5.89990 + 24.3197i) q^{95} +(-2.24329 - 0.432359i) q^{96} +(4.93154 + 3.16931i) q^{97} +(-10.8667 + 0.0231678i) q^{98} +(0.179267 + 1.24683i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.900476 1.26454i 0.636733 0.894166i −0.362553 0.931963i \(-0.618095\pi\)
0.999285 + 0.0377975i \(0.0120342\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −0.134072 0.387376i −0.0670360 0.193688i
\(5\) −0.164040 + 3.44363i −0.0733611 + 1.54004i 0.599563 + 0.800328i \(0.295341\pi\)
−0.672924 + 0.739712i \(0.734962\pi\)
\(6\) −1.01660 1.17322i −0.415025 0.478965i
\(7\) −1.20985 + 2.35293i −0.457279 + 0.889323i
\(8\) 2.36844 + 0.695436i 0.837369 + 0.245874i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 4.20690 + 3.30834i 1.33034 + 1.04619i
\(11\) −0.730670 1.02608i −0.220305 0.309376i 0.689601 0.724190i \(-0.257786\pi\)
−0.909906 + 0.414814i \(0.863847\pi\)
\(12\) −0.408065 + 0.0389655i −0.117798 + 0.0112484i
\(13\) −0.0342560 + 0.238256i −0.00950092 + 0.0660803i −0.994020 0.109195i \(-0.965173\pi\)
0.984519 + 0.175276i \(0.0560817\pi\)
\(14\) 1.88594 + 3.64866i 0.504038 + 0.975144i
\(15\) 3.30789 + 0.971284i 0.854093 + 0.250784i
\(16\) 3.65657 2.87556i 0.914142 0.718889i
\(17\) 4.75064 0.915610i 1.15220 0.222068i 0.422843 0.906203i \(-0.361032\pi\)
0.729356 + 0.684135i \(0.239820\pi\)
\(18\) −1.37982 + 0.711347i −0.325227 + 0.167666i
\(19\) 7.12767 + 1.37375i 1.63520 + 0.315159i 0.922408 0.386217i \(-0.126219\pi\)
0.712791 + 0.701376i \(0.247431\pi\)
\(20\) 1.35597 0.398150i 0.303205 0.0890290i
\(21\) 2.00137 + 1.73047i 0.436735 + 0.377619i
\(22\) −1.95548 −0.416909
\(23\) −4.29238 + 2.13904i −0.895023 + 0.446020i
\(24\) 1.23421 2.13772i 0.251933 0.436360i
\(25\) −6.85434 0.654511i −1.37087 0.130902i
\(26\) 0.270438 + 0.257862i 0.0530372 + 0.0505709i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 1.07367 + 0.153203i 0.202905 + 0.0289527i
\(29\) −1.56729 1.80874i −0.291038 0.335875i 0.591336 0.806426i \(-0.298601\pi\)
−0.882373 + 0.470550i \(0.844055\pi\)
\(30\) 4.20690 3.30834i 0.768072 0.604018i
\(31\) −1.10815 + 1.05661i −0.199029 + 0.189774i −0.783039 0.621973i \(-0.786331\pi\)
0.584010 + 0.811747i \(0.301483\pi\)
\(32\) −0.108705 2.28199i −0.0192164 0.403403i
\(33\) −1.16942 + 0.468166i −0.203570 + 0.0814972i
\(34\) 3.12001 6.83186i 0.535077 1.17165i
\(35\) −7.90416 4.55224i −1.33605 0.769469i
\(36\) −0.0583379 + 0.405749i −0.00972298 + 0.0676248i
\(37\) −2.45021 1.26317i −0.402812 0.207664i 0.244902 0.969548i \(-0.421244\pi\)
−0.647714 + 0.761884i \(0.724275\pi\)
\(38\) 8.15545 7.77621i 1.32299 1.26147i
\(39\) 0.223464 + 0.0894614i 0.0357828 + 0.0143253i
\(40\) −2.78335 + 8.04195i −0.440086 + 1.27154i
\(41\) 5.95377 + 3.82625i 0.929822 + 0.597560i 0.915492 0.402337i \(-0.131802\pi\)
0.0143304 + 0.999897i \(0.495438\pi\)
\(42\) 3.99043 0.972574i 0.615737 0.150071i
\(43\) −0.169906 + 0.0498889i −0.0259104 + 0.00760798i −0.294662 0.955602i \(-0.595207\pi\)
0.268752 + 0.963209i \(0.413389\pi\)
\(44\) −0.299517 + 0.420613i −0.0451539 + 0.0634098i
\(45\) 1.72377 2.98566i 0.256964 0.445075i
\(46\) −1.16028 + 7.35404i −0.171075 + 1.08429i
\(47\) −5.18074 8.97330i −0.755688 1.30889i −0.945031 0.326979i \(-0.893969\pi\)
0.189343 0.981911i \(-0.439364\pi\)
\(48\) −1.93243 4.23143i −0.278922 0.610755i
\(49\) −4.07255 5.69336i −0.581792 0.813337i
\(50\) −6.99983 + 8.07823i −0.989925 + 1.14243i
\(51\) 0.230205 4.83259i 0.0322351 0.676698i
\(52\) 0.0968874 0.0186735i 0.0134359 0.00258955i
\(53\) −5.90148 2.36260i −0.810630 0.324527i −0.0709450 0.997480i \(-0.522601\pi\)
−0.739685 + 0.672953i \(0.765026\pi\)
\(54\) 0.365990 + 1.50863i 0.0498050 + 0.205299i
\(55\) 3.65331 2.34784i 0.492613 0.316583i
\(56\) −4.50176 + 4.73139i −0.601572 + 0.632259i
\(57\) 3.01543 6.60288i 0.399404 0.874572i
\(58\) −3.69853 + 0.353167i −0.485641 + 0.0463731i
\(59\) −10.5379 8.28708i −1.37192 1.07889i −0.987821 0.155592i \(-0.950272\pi\)
−0.384094 0.923294i \(-0.625486\pi\)
\(60\) −0.0672437 1.41162i −0.00868112 0.182239i
\(61\) 1.03191 + 4.25359i 0.132122 + 0.544616i 0.998942 + 0.0459936i \(0.0146454\pi\)
−0.866819 + 0.498622i \(0.833839\pi\)
\(62\) 0.338275 + 2.35275i 0.0429609 + 0.298800i
\(63\) 2.15353 1.53698i 0.271319 0.193642i
\(64\) 4.84314 + 3.11250i 0.605393 + 0.389062i
\(65\) −0.814847 0.157049i −0.101069 0.0194795i
\(66\) −0.461021 + 1.90035i −0.0567477 + 0.233917i
\(67\) −1.12861 0.107769i −0.137882 0.0131661i 0.0258869 0.999665i \(-0.491759\pi\)
−0.163769 + 0.986499i \(0.552365\pi\)
\(68\) −0.991613 1.71752i −0.120251 0.208280i
\(69\) 1.06677 + 4.67568i 0.128424 + 0.562886i
\(70\) −12.8740 + 5.89595i −1.53874 + 0.704701i
\(71\) −5.24373 11.4822i −0.622317 1.36268i −0.913822 0.406114i \(-0.866884\pi\)
0.291506 0.956569i \(-0.405844\pi\)
\(72\) −1.78648 1.70341i −0.210539 0.200749i
\(73\) 4.64673 + 13.4258i 0.543859 + 1.57138i 0.797020 + 0.603952i \(0.206408\pi\)
−0.253162 + 0.967424i \(0.581471\pi\)
\(74\) −3.80369 + 1.96094i −0.442169 + 0.227954i
\(75\) −2.25203 + 6.50682i −0.260042 + 0.751343i
\(76\) −0.423465 2.94527i −0.0485748 0.337845i
\(77\) 3.29830 0.477813i 0.375876 0.0544518i
\(78\) 0.314351 0.202021i 0.0355933 0.0228744i
\(79\) 11.9403 4.78018i 1.34339 0.537812i 0.415135 0.909760i \(-0.363734\pi\)
0.928254 + 0.371948i \(0.121310\pi\)
\(80\) 9.30254 + 13.0636i 1.04006 + 1.46055i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 10.1997 4.08333i 1.12637 0.450929i
\(83\) 15.1959 9.76581i 1.66797 1.07194i 0.763058 0.646330i \(-0.223697\pi\)
0.904908 0.425607i \(-0.139939\pi\)
\(84\) 0.402013 1.00729i 0.0438632 0.109904i
\(85\) 2.37373 + 16.5097i 0.257467 + 1.79072i
\(86\) −0.0899096 + 0.259777i −0.00969520 + 0.0280124i
\(87\) −2.12726 + 1.09668i −0.228066 + 0.117576i
\(88\) −1.01697 2.93835i −0.108410 0.313229i
\(89\) −11.3420 10.8145i −1.20225 1.14634i −0.985422 0.170128i \(-0.945582\pi\)
−0.216823 0.976211i \(-0.569570\pi\)
\(90\) −2.22327 4.86829i −0.234354 0.513163i
\(91\) −0.519155 0.368855i −0.0544222 0.0386665i
\(92\) 1.40410 + 1.37598i 0.146387 + 0.143456i
\(93\) 0.765575 + 1.32602i 0.0793865 + 0.137501i
\(94\) −16.0122 1.52898i −1.65154 0.157703i
\(95\) −5.89990 + 24.3197i −0.605317 + 2.49515i
\(96\) −2.24329 0.432359i −0.228955 0.0441275i
\(97\) 4.93154 + 3.16931i 0.500722 + 0.321794i 0.766505 0.642238i \(-0.221994\pi\)
−0.265783 + 0.964033i \(0.585630\pi\)
\(98\) −10.8667 + 0.0231678i −1.09770 + 0.00234030i
\(99\) 0.179267 + 1.24683i 0.0180170 + 0.125311i
\(100\) 0.665435 + 2.74296i 0.0665435 + 0.274296i
\(101\) 0.301982 + 6.33939i 0.0300483 + 0.630792i 0.962791 + 0.270249i \(0.0871059\pi\)
−0.932742 + 0.360544i \(0.882591\pi\)
\(102\) −5.90371 4.64273i −0.584555 0.459699i
\(103\) 8.28334 0.790963i 0.816182 0.0779359i 0.321389 0.946947i \(-0.395850\pi\)
0.494792 + 0.869011i \(0.335244\pi\)
\(104\) −0.246825 + 0.540471i −0.0242032 + 0.0529976i
\(105\) −6.28740 + 6.60812i −0.613587 + 0.644887i
\(106\) −8.30174 + 5.33520i −0.806336 + 0.518201i
\(107\) −1.40052 5.77302i −0.135393 0.558099i −0.998583 0.0532188i \(-0.983052\pi\)
0.863190 0.504880i \(-0.168463\pi\)
\(108\) 0.380558 + 0.152352i 0.0366192 + 0.0146601i
\(109\) 4.40191 0.848399i 0.421627 0.0812619i 0.0259752 0.999663i \(-0.491731\pi\)
0.395652 + 0.918401i \(0.370519\pi\)
\(110\) 0.320777 6.73394i 0.0305849 0.642056i
\(111\) −1.80522 + 2.08334i −0.171344 + 0.197742i
\(112\) 2.34210 + 12.0826i 0.221307 + 1.14170i
\(113\) 1.07401 + 2.35175i 0.101034 + 0.221234i 0.953398 0.301715i \(-0.0975591\pi\)
−0.852364 + 0.522949i \(0.824832\pi\)
\(114\) −5.63429 9.75887i −0.527699 0.914002i
\(115\) −6.66193 15.1323i −0.621228 1.41109i
\(116\) −0.490535 + 0.849631i −0.0455450 + 0.0788862i
\(117\) 0.139623 0.196073i 0.0129082 0.0181270i
\(118\) −19.9685 + 5.86327i −1.83825 + 0.539758i
\(119\) −3.59317 + 12.2857i −0.329386 + 1.12622i
\(120\) 7.15906 + 4.60085i 0.653530 + 0.419998i
\(121\) 3.07878 8.89555i 0.279889 0.808687i
\(122\) 6.30805 + 2.52536i 0.571104 + 0.228635i
\(123\) 5.12205 4.88387i 0.461840 0.440363i
\(124\) 0.557878 + 0.287606i 0.0500990 + 0.0258278i
\(125\) 0.925105 6.43425i 0.0827439 0.575497i
\(126\) −0.00437831 4.10724i −0.000390051 0.365902i
\(127\) −2.87832 + 6.30264i −0.255409 + 0.559269i −0.993288 0.115665i \(-0.963100\pi\)
0.737879 + 0.674933i \(0.235828\pi\)
\(128\) 12.5389 5.01981i 1.10829 0.443692i
\(129\) 0.00842575 + 0.176878i 0.000741846 + 0.0155733i
\(130\) −0.932345 + 0.888989i −0.0817720 + 0.0779695i
\(131\) 16.6877 13.1233i 1.45801 1.14659i 0.497806 0.867288i \(-0.334139\pi\)
0.960203 0.279303i \(-0.0901034\pi\)
\(132\) 0.338143 + 0.390238i 0.0294316 + 0.0339658i
\(133\) −11.8557 + 15.1089i −1.02802 + 1.31011i
\(134\) −1.15257 + 1.33013i −0.0995665 + 0.114906i
\(135\) −2.49510 2.37907i −0.214744 0.204758i
\(136\) 11.8883 + 1.13520i 1.01942 + 0.0973424i
\(137\) −1.33981 + 2.32062i −0.114468 + 0.198264i −0.917567 0.397581i \(-0.869850\pi\)
0.803099 + 0.595846i \(0.203183\pi\)
\(138\) 6.87320 + 2.86136i 0.585085 + 0.243575i
\(139\) −13.9490 −1.18314 −0.591571 0.806253i \(-0.701492\pi\)
−0.591571 + 0.806253i \(0.701492\pi\)
\(140\) −0.703701 + 3.67221i −0.0594736 + 0.310358i
\(141\) −9.94176 + 2.91916i −0.837247 + 0.245838i
\(142\) −19.2415 3.70850i −1.61471 0.311211i
\(143\) 0.269500 0.138937i 0.0225367 0.0116185i
\(144\) −4.56774 + 0.880360i −0.380645 + 0.0733634i
\(145\) 6.48575 5.10045i 0.538612 0.423569i
\(146\) 21.1618 + 6.21367i 1.75136 + 0.514247i
\(147\) −6.49301 + 2.61549i −0.535535 + 0.215722i
\(148\) −0.160817 + 1.11851i −0.0132191 + 0.0919408i
\(149\) −7.04257 + 0.672484i −0.576950 + 0.0550920i −0.379452 0.925211i \(-0.623888\pi\)
−0.197498 + 0.980303i \(0.563281\pi\)
\(150\) 6.20025 + 8.70703i 0.506248 + 0.710926i
\(151\) −9.51435 7.48216i −0.774267 0.608890i 0.150857 0.988556i \(-0.451797\pi\)
−0.925124 + 0.379666i \(0.876039\pi\)
\(152\) 15.9261 + 8.21047i 1.29178 + 0.665957i
\(153\) −4.64209 1.36304i −0.375291 0.110195i
\(154\) 2.36582 4.60109i 0.190643 0.370767i
\(155\) −3.45681 3.98938i −0.277658 0.320434i
\(156\) 0.00469493 0.0985587i 0.000375895 0.00789102i
\(157\) 0.643015 + 1.85787i 0.0513182 + 0.148274i 0.967747 0.251923i \(-0.0810629\pi\)
−0.916429 + 0.400197i \(0.868942\pi\)
\(158\) 4.70722 19.4034i 0.374487 1.54365i
\(159\) −3.68732 + 5.17812i −0.292424 + 0.410652i
\(160\) 7.87617 0.622666
\(161\) 0.160119 12.6876i 0.0126191 0.999920i
\(162\) 1.55239 0.121967
\(163\) 5.84559 8.20899i 0.457862 0.642977i −0.519520 0.854458i \(-0.673889\pi\)
0.977382 + 0.211481i \(0.0678286\pi\)
\(164\) 0.683964 2.81934i 0.0534086 0.220153i
\(165\) −1.42036 4.10386i −0.110575 0.319485i
\(166\) 1.33427 28.0097i 0.103559 2.17398i
\(167\) 0.680911 + 0.785813i 0.0526905 + 0.0608080i 0.781483 0.623927i \(-0.214464\pi\)
−0.728793 + 0.684735i \(0.759918\pi\)
\(168\) 3.53669 + 5.49033i 0.272862 + 0.423588i
\(169\) 12.4178 + 3.64620i 0.955217 + 0.280477i
\(170\) 23.0146 + 11.8649i 1.76514 + 0.909993i
\(171\) −5.70584 4.48712i −0.436336 0.343139i
\(172\) 0.0421054 + 0.0591287i 0.00321050 + 0.00450852i
\(173\) 12.7219 1.21480i 0.967232 0.0923594i 0.400531 0.916283i \(-0.368826\pi\)
0.566701 + 0.823924i \(0.308220\pi\)
\(174\) −0.528751 + 3.67754i −0.0400845 + 0.278794i
\(175\) 9.83272 15.3359i 0.743284 1.15929i
\(176\) −5.62230 1.65086i −0.423797 0.124438i
\(177\) −10.5379 + 8.28708i −0.792076 + 0.622895i
\(178\) −23.8886 + 4.60415i −1.79053 + 0.345095i
\(179\) −13.2261 + 6.81852i −0.988563 + 0.509640i −0.875121 0.483905i \(-0.839218\pi\)
−0.113443 + 0.993545i \(0.536188\pi\)
\(180\) −1.38768 0.267453i −0.103432 0.0199348i
\(181\) −11.7795 + 3.45876i −0.875561 + 0.257088i −0.688479 0.725256i \(-0.741721\pi\)
−0.187082 + 0.982344i \(0.559903\pi\)
\(182\) −0.933919 + 0.324348i −0.0692267 + 0.0240422i
\(183\) 4.37697 0.323555
\(184\) −11.6538 + 2.08110i −0.859129 + 0.153421i
\(185\) 4.75183 8.23041i 0.349362 0.605112i
\(186\) 2.36618 + 0.225943i 0.173497 + 0.0165669i
\(187\) −4.41064 4.20554i −0.322538 0.307539i
\(188\) −2.78145 + 3.20996i −0.202858 + 0.234111i
\(189\) −0.985944 2.45518i −0.0717169 0.178588i
\(190\) 25.4406 + 29.3600i 1.84565 + 2.13000i
\(191\) −4.16795 + 3.27771i −0.301582 + 0.237167i −0.757469 0.652871i \(-0.773565\pi\)
0.455887 + 0.890038i \(0.349322\pi\)
\(192\) 4.16658 3.97282i 0.300697 0.286714i
\(193\) −0.598825 12.5709i −0.0431044 0.904872i −0.912079 0.410015i \(-0.865524\pi\)
0.868974 0.494857i \(-0.164780\pi\)
\(194\) 8.44845 3.38225i 0.606564 0.242831i
\(195\) −0.344729 + 0.754852i −0.0246866 + 0.0540561i
\(196\) −1.65946 + 2.34093i −0.118533 + 0.167209i
\(197\) 0.302387 2.10315i 0.0215442 0.149843i −0.976210 0.216828i \(-0.930429\pi\)
0.997754 + 0.0669851i \(0.0213380\pi\)
\(198\) 1.73810 + 0.896051i 0.123521 + 0.0636795i
\(199\) −2.54323 + 2.42496i −0.180284 + 0.171901i −0.774848 0.632148i \(-0.782173\pi\)
0.594563 + 0.804049i \(0.297325\pi\)
\(200\) −15.7789 6.31692i −1.11574 0.446674i
\(201\) −0.370812 + 1.07139i −0.0261550 + 0.0755700i
\(202\) 8.28834 + 5.32659i 0.583166 + 0.374778i
\(203\) 6.15202 1.49941i 0.431787 0.105238i
\(204\) −1.90289 + 0.558739i −0.133229 + 0.0391196i
\(205\) −14.1529 + 19.8749i −0.988479 + 1.38813i
\(206\) 6.45874 11.1869i 0.450002 0.779426i
\(207\) 4.79538 + 0.0656311i 0.333302 + 0.00456168i
\(208\) 0.559859 + 0.969704i 0.0388192 + 0.0672369i
\(209\) −3.79840 8.31733i −0.262741 0.575322i
\(210\) 2.69460 + 13.9011i 0.185945 + 0.959269i
\(211\) 3.91504 4.51819i 0.269522 0.311045i −0.604813 0.796367i \(-0.706752\pi\)
0.874335 + 0.485322i \(0.161298\pi\)
\(212\) −0.123989 + 2.60285i −0.00851560 + 0.178764i
\(213\) −12.3948 + 2.38890i −0.849275 + 0.163684i
\(214\) −8.56135 3.42745i −0.585242 0.234296i
\(215\) −0.143928 0.593277i −0.00981577 0.0404612i
\(216\) −2.07657 + 1.33453i −0.141293 + 0.0908034i
\(217\) −1.14545 3.88573i −0.0777585 0.263780i
\(218\) 2.89098 6.33036i 0.195802 0.428746i
\(219\) 14.1429 1.35048i 0.955689 0.0912572i
\(220\) −1.39930 1.10043i −0.0943411 0.0741907i
\(221\) 0.0554116 + 1.16323i 0.00372739 + 0.0782475i
\(222\) 1.00891 + 4.15877i 0.0677134 + 0.279119i
\(223\) 0.672642 + 4.67833i 0.0450434 + 0.313284i 0.999870 + 0.0161204i \(0.00513151\pi\)
−0.954827 + 0.297163i \(0.903959\pi\)
\(224\) 5.50087 + 2.50508i 0.367543 + 0.167378i
\(225\) 5.79247 + 3.72259i 0.386165 + 0.248173i
\(226\) 3.94100 + 0.759566i 0.262152 + 0.0505256i
\(227\) −4.37284 + 18.0251i −0.290236 + 1.19637i 0.620776 + 0.783988i \(0.286817\pi\)
−0.911012 + 0.412380i \(0.864698\pi\)
\(228\) −2.96208 0.282844i −0.196169 0.0187318i
\(229\) 7.90705 + 13.6954i 0.522512 + 0.905018i 0.999657 + 0.0261930i \(0.00833846\pi\)
−0.477145 + 0.878825i \(0.658328\pi\)
\(230\) −25.1343 5.20196i −1.65731 0.343007i
\(231\) 0.313259 3.31797i 0.0206109 0.218307i
\(232\) −2.45415 5.37384i −0.161123 0.352810i
\(233\) 3.17795 + 3.03017i 0.208194 + 0.198513i 0.787001 0.616952i \(-0.211633\pi\)
−0.578806 + 0.815465i \(0.696481\pi\)
\(234\) −0.122216 0.353119i −0.00798948 0.0230841i
\(235\) 31.7506 16.3686i 2.07118 1.06777i
\(236\) −1.79738 + 5.19319i −0.116999 + 0.338048i
\(237\) −1.83040 12.7307i −0.118897 0.826947i
\(238\) 12.3002 + 15.6067i 0.797301 + 1.01163i
\(239\) −9.69710 + 6.23195i −0.627253 + 0.403111i −0.815292 0.579050i \(-0.803423\pi\)
0.188038 + 0.982162i \(0.439787\pi\)
\(240\) 14.8885 5.96046i 0.961049 0.384746i
\(241\) 7.34012 + 10.3078i 0.472819 + 0.663981i 0.980262 0.197704i \(-0.0633486\pi\)
−0.507443 + 0.861685i \(0.669409\pi\)
\(242\) −8.47643 11.9035i −0.544885 0.765184i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 1.50939 0.970024i 0.0966286 0.0620994i
\(245\) 20.2739 13.0904i 1.29525 0.836316i
\(246\) −1.56357 10.8748i −0.0996894 0.693355i
\(247\) −0.571469 + 1.65115i −0.0363617 + 0.105060i
\(248\) −3.35938 + 1.73188i −0.213321 + 0.109975i
\(249\) −5.90796 17.0699i −0.374402 1.08176i
\(250\) −7.30334 6.96372i −0.461904 0.440424i
\(251\) 5.88119 + 12.8780i 0.371217 + 0.812853i 0.999395 + 0.0347825i \(0.0110739\pi\)
−0.628178 + 0.778070i \(0.716199\pi\)
\(252\) −0.884118 0.628158i −0.0556942 0.0395703i
\(253\) 5.33114 + 2.84141i 0.335166 + 0.178638i
\(254\) 5.37809 + 9.31512i 0.337451 + 0.584483i
\(255\) 16.6039 + 1.58548i 1.03978 + 0.0992866i
\(256\) 2.22864 9.18659i 0.139290 0.574162i
\(257\) −30.2004 5.82065i −1.88385 0.363082i −0.888456 0.458962i \(-0.848221\pi\)
−0.995393 + 0.0958796i \(0.969434\pi\)
\(258\) 0.231257 + 0.148620i 0.0143974 + 0.00925267i
\(259\) 5.93653 4.23693i 0.368878 0.263270i
\(260\) 0.0484113 + 0.336708i 0.00300234 + 0.0208817i
\(261\) 0.564245 + 2.32585i 0.0349259 + 0.143966i
\(262\) −1.56815 32.9195i −0.0968806 2.03377i
\(263\) −2.38806 1.87799i −0.147254 0.115802i 0.541814 0.840498i \(-0.317738\pi\)
−0.689068 + 0.724696i \(0.741980\pi\)
\(264\) −3.09528 + 0.295563i −0.190501 + 0.0181907i
\(265\) 9.10400 19.9350i 0.559254 1.22460i
\(266\) 8.43002 + 28.5972i 0.516878 + 1.75341i
\(267\) −13.1837 + 8.47262i −0.806827 + 0.518516i
\(268\) 0.109568 + 0.451646i 0.00669294 + 0.0275887i
\(269\) 10.9798 + 4.39566i 0.669452 + 0.268008i 0.681390 0.731921i \(-0.261376\pi\)
−0.0119379 + 0.999929i \(0.503800\pi\)
\(270\) −5.25522 + 1.01286i −0.319822 + 0.0616407i
\(271\) 1.48720 31.2203i 0.0903412 1.89650i −0.268775 0.963203i \(-0.586619\pi\)
0.359116 0.933293i \(-0.383078\pi\)
\(272\) 14.7381 17.0087i 0.893631 1.03130i
\(273\) −0.480853 + 0.417560i −0.0291025 + 0.0252719i
\(274\) 1.72806 + 3.78391i 0.104396 + 0.228595i
\(275\) 4.33668 + 7.51136i 0.261512 + 0.452952i
\(276\) 1.66822 1.04012i 0.100415 0.0626079i
\(277\) −9.98081 + 17.2873i −0.599689 + 1.03869i 0.393178 + 0.919462i \(0.371376\pi\)
−0.992867 + 0.119229i \(0.961958\pi\)
\(278\) −12.5608 + 17.6391i −0.753345 + 1.05792i
\(279\) 1.46913 0.431375i 0.0879544 0.0258257i
\(280\) −15.5547 16.2785i −0.929572 0.972829i
\(281\) 4.28744 + 2.75537i 0.255767 + 0.164372i 0.662241 0.749291i \(-0.269605\pi\)
−0.406474 + 0.913662i \(0.633242\pi\)
\(282\) −5.26091 + 15.2004i −0.313283 + 0.905171i
\(283\) −0.0283225 0.0113386i −0.00168360 0.000674012i 0.370821 0.928705i \(-0.379077\pi\)
−0.372504 + 0.928031i \(0.621501\pi\)
\(284\) −3.74488 + 3.57073i −0.222218 + 0.211884i
\(285\) 22.2432 + 11.4672i 1.31758 + 0.679257i
\(286\) 0.0669868 0.465904i 0.00396101 0.0275495i
\(287\) −16.2060 + 9.37961i −0.956612 + 0.553661i
\(288\) −0.949048 + 2.07812i −0.0559232 + 0.122455i
\(289\) 5.94796 2.38120i 0.349880 0.140071i
\(290\) −0.609469 12.7943i −0.0357893 0.751309i
\(291\) 4.24262 4.04533i 0.248707 0.237142i
\(292\) 4.57785 3.60006i 0.267898 0.210678i
\(293\) 6.50042 + 7.50188i 0.379758 + 0.438265i 0.913162 0.407596i \(-0.133633\pi\)
−0.533404 + 0.845861i \(0.679087\pi\)
\(294\) −2.53941 + 10.5659i −0.148101 + 0.616214i
\(295\) 30.2663 34.9292i 1.76217 2.03366i
\(296\) −4.92471 4.69570i −0.286243 0.272932i
\(297\) 1.25395 + 0.119738i 0.0727615 + 0.00694788i
\(298\) −5.49128 + 9.51117i −0.318101 + 0.550968i
\(299\) −0.362598 1.09596i −0.0209696 0.0633810i
\(300\) 2.82252 0.162958
\(301\) 0.0881750 0.460134i 0.00508232 0.0265217i
\(302\) −18.0289 + 5.29378i −1.03745 + 0.304623i
\(303\) 6.23188 + 1.20110i 0.358012 + 0.0690012i
\(304\) 30.0131 15.4728i 1.72137 0.887427i
\(305\) −14.8171 + 2.85576i −0.848423 + 0.163520i
\(306\) −5.90371 + 4.64273i −0.337493 + 0.265407i
\(307\) −11.3389 3.32940i −0.647145 0.190019i −0.0583435 0.998297i \(-0.518582\pi\)
−0.588802 + 0.808278i \(0.700400\pi\)
\(308\) −0.627303 1.21362i −0.0357439 0.0691524i
\(309\) 1.18420 8.23632i 0.0673670 0.468548i
\(310\) −8.15751 + 0.778947i −0.463315 + 0.0442412i
\(311\) 5.04992 + 7.09161i 0.286354 + 0.402129i 0.932549 0.361045i \(-0.117580\pi\)
−0.646194 + 0.763173i \(0.723640\pi\)
\(312\) 0.467045 + 0.367288i 0.0264412 + 0.0207936i
\(313\) 3.03721 + 1.56579i 0.171673 + 0.0885037i 0.541921 0.840429i \(-0.317697\pi\)
−0.370248 + 0.928933i \(0.620727\pi\)
\(314\) 2.92837 + 0.859848i 0.165258 + 0.0485241i
\(315\) 4.93954 + 7.66809i 0.278312 + 0.432048i
\(316\) −3.45259 3.98450i −0.194223 0.224145i
\(317\) −0.481124 + 10.1000i −0.0270226 + 0.567274i 0.944239 + 0.329260i \(0.106799\pi\)
−0.971262 + 0.238014i \(0.923504\pi\)
\(318\) 3.22760 + 9.32555i 0.180995 + 0.522951i
\(319\) −0.710752 + 2.92976i −0.0397945 + 0.164035i
\(320\) −11.5128 + 16.1674i −0.643584 + 0.903787i
\(321\) −5.94047 −0.331565
\(322\) −15.8998 11.6273i −0.886059 0.647965i
\(323\) 35.1188 1.95406
\(324\) 0.237778 0.333912i 0.0132099 0.0185507i
\(325\) 0.390744 1.61067i 0.0216746 0.0893438i
\(326\) −5.11679 14.7840i −0.283393 0.818809i
\(327\) 0.213306 4.47785i 0.0117959 0.247625i
\(328\) 11.4402 + 13.2027i 0.631680 + 0.728997i
\(329\) 27.3814 1.33359i 1.50959 0.0735234i
\(330\) −6.46849 1.89932i −0.356079 0.104554i
\(331\) −2.72269 1.40364i −0.149653 0.0771513i 0.381774 0.924256i \(-0.375313\pi\)
−0.531426 + 0.847105i \(0.678344\pi\)
\(332\) −5.82038 4.57720i −0.319435 0.251207i
\(333\) 1.59901 + 2.24550i 0.0876255 + 0.123053i
\(334\) 1.60684 0.153434i 0.0879222 0.00839555i
\(335\) 0.556256 3.86885i 0.0303915 0.211378i
\(336\) 12.2942 + 0.572510i 0.670704 + 0.0312330i
\(337\) −25.0699 7.36120i −1.36565 0.400990i −0.484897 0.874571i \(-0.661143\pi\)
−0.880750 + 0.473581i \(0.842961\pi\)
\(338\) 15.7927 12.4195i 0.859010 0.675533i
\(339\) 2.53867 0.489288i 0.137881 0.0265745i
\(340\) 6.07719 3.13301i 0.329582 0.169911i
\(341\) 1.89386 + 0.365012i 0.102558 + 0.0197665i
\(342\) −10.8121 + 3.17472i −0.584652 + 0.171669i
\(343\) 18.3232 2.69432i 0.989361 0.145480i
\(344\) −0.437106 −0.0235672
\(345\) −16.2763 + 2.90658i −0.876288 + 0.156485i
\(346\) 9.91964 17.1813i 0.533283 0.923674i
\(347\) 7.71417 + 0.736614i 0.414118 + 0.0395435i 0.300036 0.953928i \(-0.403001\pi\)
0.114082 + 0.993471i \(0.463607\pi\)
\(348\) 0.710033 + 0.677015i 0.0380618 + 0.0362918i
\(349\) 7.39961 8.53961i 0.396092 0.457115i −0.522314 0.852753i \(-0.674931\pi\)
0.918406 + 0.395638i \(0.129477\pi\)
\(350\) −10.5388 26.2435i −0.563322 1.40277i
\(351\) −0.157629 0.181913i −0.00841361 0.00970982i
\(352\) −2.26208 + 1.77892i −0.120569 + 0.0948168i
\(353\) −19.1856 + 18.2935i −1.02115 + 0.973664i −0.999659 0.0261055i \(-0.991689\pi\)
−0.0214897 + 0.999769i \(0.506841\pi\)
\(354\) 0.990250 + 20.7879i 0.0526312 + 1.10486i
\(355\) 40.4006 16.1740i 2.14424 0.858424i
\(356\) −2.66865 + 5.84353i −0.141438 + 0.309706i
\(357\) 11.0922 + 6.38834i 0.587063 + 0.338107i
\(358\) −3.28747 + 22.8648i −0.173748 + 1.20844i
\(359\) −19.6562 10.1335i −1.03741 0.534824i −0.146602 0.989196i \(-0.546834\pi\)
−0.890812 + 0.454372i \(0.849864\pi\)
\(360\) 6.15897 5.87257i 0.324606 0.309511i
\(361\) 31.2775 + 12.5216i 1.64618 + 0.659032i
\(362\) −6.23338 + 18.0102i −0.327619 + 0.946593i
\(363\) −7.91895 5.08920i −0.415637 0.267114i
\(364\) −0.0732814 + 0.250561i −0.00384099 + 0.0131330i
\(365\) −46.9959 + 13.7993i −2.45988 + 0.722286i
\(366\) 3.94135 5.53486i 0.206018 0.289312i
\(367\) −16.9000 + 29.2717i −0.882175 + 1.52797i −0.0332574 + 0.999447i \(0.510588\pi\)
−0.848918 + 0.528525i \(0.822745\pi\)
\(368\) −9.54446 + 20.1645i −0.497539 + 1.05115i
\(369\) −3.53863 6.12908i −0.184214 0.319067i
\(370\) −6.12879 13.4202i −0.318620 0.697682i
\(371\) 12.6989 11.0274i 0.659294 0.572513i
\(372\) 0.411024 0.474347i 0.0213106 0.0245937i
\(373\) −0.914852 + 19.2051i −0.0473692 + 0.994402i 0.842645 + 0.538470i \(0.180997\pi\)
−0.890014 + 0.455933i \(0.849306\pi\)
\(374\) −9.28975 + 1.79045i −0.480362 + 0.0925821i
\(375\) −6.03477 2.41596i −0.311634 0.124760i
\(376\) −6.02990 24.8556i −0.310968 1.28183i
\(377\) 0.484633 0.311455i 0.0249599 0.0160407i
\(378\) −3.99250 0.964064i −0.205352 0.0495861i
\(379\) 2.10443 4.60806i 0.108097 0.236700i −0.847851 0.530234i \(-0.822104\pi\)
0.955949 + 0.293534i \(0.0948314\pi\)
\(380\) 10.2119 0.975117i 0.523859 0.0500224i
\(381\) 5.44639 + 4.28308i 0.279027 + 0.219429i
\(382\) 0.391664 + 8.22205i 0.0200393 + 0.420676i
\(383\) 6.68863 + 27.5709i 0.341773 + 1.40881i 0.840389 + 0.541984i \(0.182327\pi\)
−0.498616 + 0.866823i \(0.666158\pi\)
\(384\) −1.92216 13.3689i −0.0980896 0.682228i
\(385\) 1.10436 + 11.4365i 0.0562833 + 0.582859i
\(386\) −16.4356 10.5625i −0.836551 0.537619i
\(387\) 0.173879 + 0.0335124i 0.00883875 + 0.00170353i
\(388\) 0.566532 2.33528i 0.0287613 0.118556i
\(389\) −7.98854 0.762813i −0.405035 0.0386762i −0.109449 0.993992i \(-0.534909\pi\)
−0.295586 + 0.955316i \(0.595515\pi\)
\(390\) 0.644121 + 1.11565i 0.0326163 + 0.0564932i
\(391\) −18.4330 + 14.0919i −0.932198 + 0.712660i
\(392\) −5.68620 16.3166i −0.287197 0.824111i
\(393\) −8.81914 19.3112i −0.444867 0.974122i
\(394\) −2.38722 2.27621i −0.120267 0.114674i
\(395\) 14.5025 + 41.9022i 0.729699 + 2.10833i
\(396\) 0.458958 0.236609i 0.0230635 0.0118901i
\(397\) −1.05438 + 3.04642i −0.0529176 + 0.152895i −0.968362 0.249548i \(-0.919718\pi\)
0.915445 + 0.402444i \(0.131839\pi\)
\(398\) 0.776350 + 5.39963i 0.0389149 + 0.270659i
\(399\) 11.8879 + 15.0836i 0.595139 + 0.755123i
\(400\) −26.9455 + 17.3168i −1.34727 + 0.865840i
\(401\) −0.202586 + 0.0811033i −0.0101167 + 0.00405011i −0.376715 0.926329i \(-0.622946\pi\)
0.366599 + 0.930379i \(0.380522\pi\)
\(402\) 1.02091 + 1.43367i 0.0509184 + 0.0715048i
\(403\) −0.213784 0.300218i −0.0106493 0.0149549i
\(404\) 2.41524 0.966915i 0.120163 0.0481058i
\(405\) −2.90025 + 1.86388i −0.144115 + 0.0926169i
\(406\) 3.64368 9.12967i 0.180833 0.453098i
\(407\) 0.494177 + 3.43708i 0.0244955 + 0.170370i
\(408\) 3.90598 11.2856i 0.193375 0.558720i
\(409\) −11.6266 + 5.99393i −0.574898 + 0.296381i −0.721052 0.692881i \(-0.756341\pi\)
0.146153 + 0.989262i \(0.453311\pi\)
\(410\) 12.3883 + 35.7938i 0.611817 + 1.76773i
\(411\) 1.93934 + 1.84915i 0.0956604 + 0.0912120i
\(412\) −1.41696 3.10272i −0.0698088 0.152860i
\(413\) 32.2481 14.7688i 1.58683 0.726725i
\(414\) 4.40112 6.00486i 0.216303 0.295123i
\(415\) 31.1371 + 53.9311i 1.52846 + 2.64737i
\(416\) 0.547421 + 0.0522724i 0.0268395 + 0.00256287i
\(417\) −3.28861 + 13.5558i −0.161044 + 0.663832i
\(418\) −13.9380 2.68632i −0.681729 0.131392i
\(419\) −31.4999 20.2438i −1.53887 0.988972i −0.988013 0.154374i \(-0.950664\pi\)
−0.550858 0.834599i \(-0.685700\pi\)
\(420\) 3.40279 + 1.54962i 0.166039 + 0.0756138i
\(421\) 0.495773 + 3.44818i 0.0241625 + 0.168054i 0.998330 0.0577742i \(-0.0184003\pi\)
−0.974167 + 0.225828i \(0.927491\pi\)
\(422\) −2.18805 9.01925i −0.106512 0.439050i
\(423\) 0.493019 + 10.3497i 0.0239714 + 0.503221i
\(424\) −12.3342 9.69976i −0.599004 0.471062i
\(425\) −33.1618 + 3.16657i −1.60858 + 0.153601i
\(426\) −8.14033 + 17.8248i −0.394400 + 0.863616i
\(427\) −11.2568 2.71818i −0.544757 0.131542i
\(428\) −2.04856 + 1.31653i −0.0990208 + 0.0636368i
\(429\) −0.0714835 0.294659i −0.00345126 0.0142263i
\(430\) −0.879827 0.352230i −0.0424290 0.0169860i
\(431\) 32.4875 6.26144i 1.56487 0.301603i 0.668087 0.744083i \(-0.267113\pi\)
0.896778 + 0.442480i \(0.145901\pi\)
\(432\) −0.221342 + 4.64654i −0.0106493 + 0.223557i
\(433\) −9.24130 + 10.6650i −0.444108 + 0.512528i −0.933030 0.359799i \(-0.882845\pi\)
0.488921 + 0.872328i \(0.337391\pi\)
\(434\) −5.94512 2.05053i −0.285375 0.0984286i
\(435\) −3.42760 7.50541i −0.164341 0.359857i
\(436\) −0.918823 1.59145i −0.0440036 0.0762165i
\(437\) −33.5331 + 9.34970i −1.60411 + 0.447257i
\(438\) 11.0276 19.1004i 0.526919 0.912650i
\(439\) −13.9590 + 19.6027i −0.666226 + 0.935584i −0.999975 0.00707807i \(-0.997747\pi\)
0.333749 + 0.942662i \(0.391686\pi\)
\(440\) 10.2854 3.02007i 0.490338 0.143976i
\(441\) 1.01097 + 6.92661i 0.0481416 + 0.329839i
\(442\) 1.52085 + 0.977393i 0.0723396 + 0.0464898i
\(443\) −4.86972 + 14.0701i −0.231367 + 0.668492i 0.768232 + 0.640172i \(0.221137\pi\)
−0.999599 + 0.0283199i \(0.990984\pi\)
\(444\) 1.04906 + 0.419982i 0.0497864 + 0.0199315i
\(445\) 39.1018 37.2835i 1.85360 1.76741i
\(446\) 6.52163 + 3.36214i 0.308808 + 0.159202i
\(447\) −1.00682 + 7.00259i −0.0476210 + 0.331211i
\(448\) −13.1829 + 7.62993i −0.622836 + 0.360480i
\(449\) 11.6746 25.5638i 0.550958 1.20643i −0.405374 0.914151i \(-0.632859\pi\)
0.956333 0.292280i \(-0.0944139\pi\)
\(450\) 9.92335 3.97271i 0.467791 0.187275i
\(451\) −0.424187 8.90479i −0.0199742 0.419310i
\(452\) 0.767017 0.731349i 0.0360774 0.0343998i
\(453\) −9.51435 + 7.48216i −0.447023 + 0.351543i
\(454\) 18.8558 + 21.7608i 0.884948 + 1.02128i
\(455\) 1.35536 1.72727i 0.0635405 0.0809758i
\(456\) 11.7337 13.5415i 0.549483 0.634137i
\(457\) −25.9185 24.7132i −1.21241 1.15604i −0.983175 0.182665i \(-0.941528\pi\)
−0.229240 0.973370i \(-0.573624\pi\)
\(458\) 24.4385 + 2.33359i 1.14194 + 0.109042i
\(459\) −2.41903 + 4.18989i −0.112911 + 0.195567i
\(460\) −4.96870 + 4.60949i −0.231667 + 0.214918i
\(461\) −27.4805 −1.27989 −0.639946 0.768420i \(-0.721043\pi\)
−0.639946 + 0.768420i \(0.721043\pi\)
\(462\) −3.91363 3.38388i −0.182079 0.157433i
\(463\) −2.12086 + 0.622739i −0.0985645 + 0.0289412i −0.330643 0.943756i \(-0.607266\pi\)
0.232078 + 0.972697i \(0.425447\pi\)
\(464\) −10.9320 2.10698i −0.507507 0.0978139i
\(465\) −4.69190 + 2.41884i −0.217581 + 0.112171i
\(466\) 6.69344 1.29005i 0.310068 0.0597606i
\(467\) 6.86332 5.39738i 0.317597 0.249761i −0.446615 0.894726i \(-0.647371\pi\)
0.764212 + 0.644965i \(0.223128\pi\)
\(468\) −0.0946737 0.0277987i −0.00437629 0.00128500i
\(469\) 1.61902 2.52516i 0.0747594 0.116601i
\(470\) 7.89191 54.8895i 0.364027 2.53186i
\(471\) 1.95710 0.186880i 0.0901783 0.00861098i
\(472\) −19.1952 26.9558i −0.883529 1.24074i
\(473\) 0.175335 + 0.137885i 0.00806192 + 0.00633997i
\(474\) −17.7467 9.14907i −0.815134 0.420231i
\(475\) −47.9564 14.0813i −2.20039 0.646092i
\(476\) 5.24091 0.255255i 0.240217 0.0116996i
\(477\) 4.16284 + 4.80417i 0.190603 + 0.219968i
\(478\) −0.851449 + 17.8741i −0.0389444 + 0.817543i
\(479\) −8.16086 23.5793i −0.372879 1.07736i −0.962873 0.269956i \(-0.912991\pi\)
0.589993 0.807408i \(-0.299130\pi\)
\(480\) 1.85688 7.65415i 0.0847544 0.349363i
\(481\) 0.384892 0.540506i 0.0175496 0.0246449i
\(482\) 19.6442 0.894768
\(483\) −12.2922 3.14681i −0.559313 0.143185i
\(484\) −3.85870 −0.175395
\(485\) −11.7229 + 16.4625i −0.532310 + 0.747525i
\(486\) 0.365990 1.50863i 0.0166017 0.0684330i
\(487\) −13.2411 38.2576i −0.600011 1.73362i −0.676394 0.736540i \(-0.736458\pi\)
0.0763830 0.997079i \(-0.475663\pi\)
\(488\) −0.514085 + 10.7920i −0.0232716 + 0.488530i
\(489\) −6.59944 7.61616i −0.298437 0.344414i
\(490\) 1.70280 37.4248i 0.0769247 1.69068i
\(491\) 31.1881 + 9.15766i 1.40750 + 0.413279i 0.895253 0.445558i \(-0.146995\pi\)
0.512248 + 0.858838i \(0.328813\pi\)
\(492\) −2.57862 1.32937i −0.116253 0.0599326i
\(493\) −9.10171 7.15767i −0.409920 0.322365i
\(494\) 1.57335 + 2.20947i 0.0707886 + 0.0994086i
\(495\) −4.32304 + 0.412800i −0.194306 + 0.0185540i
\(496\) −1.01365 + 7.05012i −0.0455144 + 0.316560i
\(497\) 33.3608 + 1.55353i 1.49644 + 0.0696854i
\(498\) −26.9056 7.90020i −1.20567 0.354016i
\(499\) 32.1327 25.2695i 1.43846 1.13122i 0.469815 0.882765i \(-0.344321\pi\)
0.968644 0.248452i \(-0.0799217\pi\)
\(500\) −2.61650 + 0.504290i −0.117014 + 0.0225525i
\(501\) 0.924193 0.476455i 0.0412899 0.0212864i
\(502\) 21.5806 + 4.15933i 0.963191 + 0.185640i
\(503\) −15.0701 + 4.42499i −0.671943 + 0.197300i −0.599868 0.800099i \(-0.704780\pi\)
−0.0720752 + 0.997399i \(0.522962\pi\)
\(504\) 6.16937 2.14261i 0.274806 0.0954393i
\(505\) −21.8801 −0.973650
\(506\) 8.39364 4.18283i 0.373143 0.185950i
\(507\) 6.47103 11.2082i 0.287389 0.497772i
\(508\) 2.82739 + 0.269983i 0.125445 + 0.0119786i
\(509\) −14.5500 13.8734i −0.644919 0.614929i 0.295338 0.955393i \(-0.404568\pi\)
−0.940258 + 0.340463i \(0.889416\pi\)
\(510\) 16.9563 19.5686i 0.750838 0.866513i
\(511\) −37.2119 5.30978i −1.64616 0.234891i
\(512\) 8.07959 + 9.32434i 0.357071 + 0.412082i
\(513\) −5.70584 + 4.48712i −0.251919 + 0.198111i
\(514\) −34.5552 + 32.9483i −1.52416 + 1.45329i
\(515\) 1.36498 + 28.6545i 0.0601484 + 1.26267i
\(516\) 0.0673887 0.0269784i 0.00296662 0.00118766i
\(517\) −5.42194 + 11.8724i −0.238457 + 0.522147i
\(518\) −0.0120695 11.3222i −0.000530302 0.497470i
\(519\) 1.81876 12.6497i 0.0798346 0.555262i
\(520\) −1.82070 0.938634i −0.0798428 0.0411618i
\(521\) −7.97212 + 7.60140i −0.349265 + 0.333023i −0.844321 0.535838i \(-0.819996\pi\)
0.495056 + 0.868861i \(0.335147\pi\)
\(522\) 3.44922 + 1.38086i 0.150968 + 0.0604386i
\(523\) 1.95890 5.65986i 0.0856566 0.247489i −0.894036 0.447996i \(-0.852138\pi\)
0.979692 + 0.200507i \(0.0642591\pi\)
\(524\) −7.32102 4.70493i −0.319820 0.205536i
\(525\) −12.5855 13.1711i −0.549275 0.574835i
\(526\) −4.52519 + 1.32872i −0.197308 + 0.0579348i
\(527\) −4.29695 + 6.03422i −0.187178 + 0.262855i
\(528\) −2.92983 + 5.07462i −0.127505 + 0.220844i
\(529\) 13.8490 18.3631i 0.602133 0.798396i
\(530\) −17.0107 29.4633i −0.738896 1.27981i
\(531\) 5.56908 + 12.1946i 0.241678 + 0.529200i
\(532\) 7.44233 + 2.56694i 0.322666 + 0.111291i
\(533\) −1.11558 + 1.28745i −0.0483211 + 0.0557656i
\(534\) −1.15758 + 24.3007i −0.0500935 + 1.05159i
\(535\) 20.1099 3.87587i 0.869427 0.167568i
\(536\) −2.59810 1.04012i −0.112221 0.0449264i
\(537\) 3.50815 + 14.4608i 0.151388 + 0.624029i
\(538\) 15.4456 9.92626i 0.665906 0.427952i
\(539\) −2.86617 + 8.33874i −0.123455 + 0.359175i
\(540\) −0.587072 + 1.28551i −0.0252636 + 0.0553195i
\(541\) −28.9180 + 2.76133i −1.24328 + 0.118719i −0.695885 0.718154i \(-0.744987\pi\)
−0.547398 + 0.836873i \(0.684381\pi\)
\(542\) −38.1401 29.9937i −1.63826 1.28834i
\(543\) 0.584152 + 12.2629i 0.0250684 + 0.526250i
\(544\) −2.60583 10.7414i −0.111724 0.460533i
\(545\) 2.19948 + 15.2977i 0.0942155 + 0.655283i
\(546\) 0.0950251 + 0.984061i 0.00406670 + 0.0421139i
\(547\) 30.4423 + 19.5641i 1.30162 + 0.836499i 0.993387 0.114812i \(-0.0366266\pi\)
0.308231 + 0.951311i \(0.400263\pi\)
\(548\) 1.07858 + 0.207880i 0.0460749 + 0.00888020i
\(549\) 1.03191 4.25359i 0.0440408 0.181539i
\(550\) 13.4035 + 1.27988i 0.571527 + 0.0545742i
\(551\) −8.68634 15.0452i −0.370050 0.640946i
\(552\) −0.725051 + 11.8159i −0.0308602 + 0.502919i
\(553\) −3.19851 + 33.8780i −0.136015 + 1.44064i
\(554\) 12.8730 + 28.1879i 0.546921 + 1.19759i
\(555\) −6.87812 6.55828i −0.291960 0.278383i
\(556\) 1.87018 + 5.40352i 0.0793132 + 0.229160i
\(557\) −5.72198 + 2.94988i −0.242448 + 0.124991i −0.575169 0.818035i \(-0.695064\pi\)
0.332721 + 0.943025i \(0.392033\pi\)
\(558\) 0.777423 2.24622i 0.0329109 0.0950899i
\(559\) −0.00606602 0.0421901i −0.000256565 0.00178445i
\(560\) −41.9923 + 6.08328i −1.77450 + 0.257066i
\(561\) −5.12684 + 3.29482i −0.216455 + 0.139107i
\(562\) 7.34501 2.94050i 0.309831 0.124037i
\(563\) 3.33816 + 4.68779i 0.140687 + 0.197567i 0.878907 0.476992i \(-0.158273\pi\)
−0.738221 + 0.674559i \(0.764334\pi\)
\(564\) 2.46373 + 3.45982i 0.103742 + 0.145685i
\(565\) −8.27475 + 3.31271i −0.348121 + 0.139367i
\(566\) −0.0398419 + 0.0256048i −0.00167468 + 0.00107625i
\(567\) −2.61842 + 0.379321i −0.109963 + 0.0159300i
\(568\) −4.43434 30.8415i −0.186061 1.29408i
\(569\) −1.16525 + 3.36676i −0.0488497 + 0.141142i −0.966787 0.255584i \(-0.917732\pi\)
0.917937 + 0.396726i \(0.129854\pi\)
\(570\) 34.5302 17.8016i 1.44631 0.745626i
\(571\) 9.90462 + 28.6175i 0.414496 + 1.19761i 0.938316 + 0.345778i \(0.112385\pi\)
−0.523821 + 0.851828i \(0.675494\pi\)
\(572\) −0.0899533 0.0857703i −0.00376114 0.00358624i
\(573\) 2.20269 + 4.82321i 0.0920186 + 0.201493i
\(574\) −2.73224 + 28.9393i −0.114042 + 1.20790i
\(575\) 30.8215 11.8523i 1.28534 0.494274i
\(576\) −2.87853 4.98576i −0.119939 0.207740i
\(577\) −32.6668 3.11930i −1.35994 0.129858i −0.610542 0.791984i \(-0.709049\pi\)
−0.749393 + 0.662126i \(0.769655\pi\)
\(578\) 2.34486 9.66565i 0.0975334 0.402038i
\(579\) −12.3577 2.38175i −0.513569 0.0989823i
\(580\) −2.84535 1.82860i −0.118147 0.0759283i
\(581\) 4.59356 + 47.5700i 0.190573 + 1.97354i
\(582\) −1.29511 9.00770i −0.0536841 0.373381i
\(583\) 1.88782 + 7.78169i 0.0781854 + 0.322284i
\(584\) 1.66867 + 35.0298i 0.0690502 + 1.44954i
\(585\) 0.652301 + 0.512975i 0.0269693 + 0.0212089i
\(586\) 15.3399 1.46478i 0.633686 0.0605097i
\(587\) 0.166588 0.364777i 0.00687583 0.0150560i −0.906163 0.422929i \(-0.861002\pi\)
0.913039 + 0.407873i \(0.133729\pi\)
\(588\) 1.88371 + 2.16457i 0.0776828 + 0.0892655i
\(589\) −9.35001 + 6.00889i −0.385261 + 0.247592i
\(590\) −16.9153 69.7259i −0.696392 2.87057i
\(591\) −1.97257 0.789698i −0.0811407 0.0324839i
\(592\) −12.5917 + 2.42685i −0.517515 + 0.0997428i
\(593\) −0.566882 + 11.9003i −0.0232791 + 0.488688i 0.956881 + 0.290480i \(0.0938150\pi\)
−0.980160 + 0.198207i \(0.936488\pi\)
\(594\) 1.28056 1.47785i 0.0525422 0.0606369i
\(595\) −41.7179 14.3889i −1.71027 0.589888i
\(596\) 1.20472 + 2.63796i 0.0493471 + 0.108055i
\(597\) 1.75702 + 3.04324i 0.0719099 + 0.124552i
\(598\) −1.71240 0.528365i −0.0700252 0.0216065i
\(599\) 6.09877 10.5634i 0.249189 0.431608i −0.714112 0.700032i \(-0.753169\pi\)
0.963301 + 0.268423i \(0.0865026\pi\)
\(600\) −9.85888 + 13.8449i −0.402487 + 0.565214i
\(601\) 34.3900 10.0978i 1.40280 0.411899i 0.509155 0.860675i \(-0.329958\pi\)
0.893644 + 0.448776i \(0.148140\pi\)
\(602\) −0.502459 0.525841i −0.0204787 0.0214317i
\(603\) 0.953767 + 0.612949i 0.0388404 + 0.0249612i
\(604\) −1.62280 + 4.68878i −0.0660309 + 0.190784i
\(605\) 30.1280 + 12.0614i 1.22488 + 0.490367i
\(606\) 7.13050 6.79892i 0.289657 0.276187i
\(607\) 32.8836 + 16.9527i 1.33470 + 0.688088i 0.970016 0.243041i \(-0.0781450\pi\)
0.364689 + 0.931129i \(0.381175\pi\)
\(608\) 2.36006 16.4146i 0.0957132 0.665700i
\(609\) −0.00675000 6.33210i −0.000273524 0.256590i
\(610\) −9.73119 + 21.3083i −0.394004 + 0.862749i
\(611\) 2.31541 0.926952i 0.0936716 0.0375005i
\(612\) 0.0943657 + 1.98098i 0.00381451 + 0.0800764i
\(613\) 1.80679 1.72277i 0.0729754 0.0695819i −0.652714 0.757605i \(-0.726370\pi\)
0.725689 + 0.688023i \(0.241521\pi\)
\(614\) −14.4206 + 11.3405i −0.581967 + 0.457664i
\(615\) 15.9780 + 18.4396i 0.644296 + 0.743557i
\(616\) 8.14410 + 1.16209i 0.328135 + 0.0468217i
\(617\) −27.0851 + 31.2578i −1.09040 + 1.25839i −0.126550 + 0.991960i \(0.540390\pi\)
−0.963853 + 0.266433i \(0.914155\pi\)
\(618\) −9.34882 8.91408i −0.376065 0.358577i
\(619\) −40.3710 3.85496i −1.62265 0.154944i −0.756244 0.654289i \(-0.772968\pi\)
−0.866403 + 0.499345i \(0.833574\pi\)
\(620\) −1.08193 + 1.87395i −0.0434512 + 0.0752596i
\(621\) 1.19434 4.64473i 0.0479270 0.186387i
\(622\) 13.5150 0.541901
\(623\) 39.1679 13.6029i 1.56923 0.544989i
\(624\) 1.07436 0.315461i 0.0430089 0.0126285i
\(625\) −11.8000 2.27427i −0.472001 0.0909707i
\(626\) 4.71494 2.43072i 0.188447 0.0971511i
\(627\) −8.97839 + 1.73044i −0.358562 + 0.0691072i
\(628\) 0.633484 0.498177i 0.0252788 0.0198794i
\(629\) −12.7966 3.75743i −0.510235 0.149819i
\(630\) 14.1446 + 0.658677i 0.563532 + 0.0262423i
\(631\) 0.00438720 0.0305136i 0.000174652 0.00121473i −0.989734 0.142922i \(-0.954350\pi\)
0.989909 + 0.141707i \(0.0452592\pi\)
\(632\) 31.6042 3.01783i 1.25715 0.120043i
\(633\) −3.46783 4.86988i −0.137834 0.193560i
\(634\) 12.3387 + 9.70324i 0.490031 + 0.385365i
\(635\) −21.2318 10.9458i −0.842559 0.434369i
\(636\) 2.50025 + 0.734139i 0.0991412 + 0.0291105i
\(637\) 1.49599 0.775276i 0.0592732 0.0307176i
\(638\) 3.06479 + 3.53695i 0.121336 + 0.140029i
\(639\) −0.600621 + 12.6086i −0.0237602 + 0.498788i
\(640\) 15.2295 + 44.0027i 0.601999 + 1.73936i
\(641\) 7.66362 31.5899i 0.302695 1.24773i −0.593779 0.804628i \(-0.702365\pi\)
0.896474 0.443097i \(-0.146120\pi\)
\(642\) −5.34925 + 7.51197i −0.211118 + 0.296474i
\(643\) 2.38114 0.0939028 0.0469514 0.998897i \(-0.485049\pi\)
0.0469514 + 0.998897i \(0.485049\pi\)
\(644\) −4.93632 + 1.63902i −0.194518 + 0.0645865i
\(645\) −0.610486 −0.0240379
\(646\) 31.6236 44.4091i 1.24421 1.74725i
\(647\) 4.52773 18.6636i 0.178003 0.733740i −0.810901 0.585184i \(-0.801022\pi\)
0.988904 0.148556i \(-0.0474626\pi\)
\(648\) 0.807343 + 2.33266i 0.0317154 + 0.0916357i
\(649\) −0.803515 + 16.8679i −0.0315407 + 0.662122i
\(650\) −1.68490 1.94448i −0.0660872 0.0762687i
\(651\) −4.04625 + 0.197070i −0.158585 + 0.00772377i
\(652\) −3.96369 1.16385i −0.155230 0.0455797i
\(653\) 16.5820 + 8.54860i 0.648903 + 0.334533i 0.751058 0.660236i \(-0.229544\pi\)
−0.102156 + 0.994768i \(0.532574\pi\)
\(654\) −5.47035 4.30193i −0.213907 0.168219i
\(655\) 42.4545 + 59.6190i 1.65883 + 2.32951i
\(656\) 32.7730 3.12944i 1.27957 0.122184i
\(657\) 2.02190 14.0626i 0.0788818 0.548635i
\(658\) 22.9699 35.8258i 0.895461 1.39664i
\(659\) 18.2118 + 5.34746i 0.709430 + 0.208308i 0.616488 0.787364i \(-0.288555\pi\)
0.0929419 + 0.995672i \(0.470373\pi\)
\(660\) −1.39930 + 1.10043i −0.0544679 + 0.0428340i
\(661\) 23.1585 4.46343i 0.900761 0.173607i 0.282210 0.959353i \(-0.408932\pi\)
0.618550 + 0.785745i \(0.287720\pi\)
\(662\) −4.22668 + 2.17901i −0.164275 + 0.0846895i
\(663\) 1.14351 + 0.220393i 0.0444101 + 0.00855935i
\(664\) 42.7820 12.5619i 1.66026 0.487498i
\(665\) −50.0846 43.3052i −1.94220 1.67930i
\(666\) 4.27940 0.165824
\(667\) 10.5964 + 4.41134i 0.410293 + 0.170808i
\(668\) 0.213114 0.369124i 0.00824562 0.0142818i
\(669\) 4.70503 + 0.449276i 0.181907 + 0.0173700i
\(670\) −4.39142 4.18721i −0.169655 0.161766i
\(671\) 3.61055 4.16679i 0.139384 0.160857i
\(672\) 3.73135 4.75522i 0.143940 0.183436i
\(673\) 18.5450 + 21.4021i 0.714859 + 0.824991i 0.990679 0.136219i \(-0.0434949\pi\)
−0.275820 + 0.961209i \(0.588949\pi\)
\(674\) −31.8834 + 25.0734i −1.22810 + 0.965791i
\(675\) 4.98329 4.75155i 0.191807 0.182887i
\(676\) −0.252433 5.29922i −0.00970895 0.203816i
\(677\) 32.2584 12.9143i 1.23979 0.496338i 0.343229 0.939252i \(-0.388479\pi\)
0.896564 + 0.442914i \(0.146055\pi\)
\(678\) 1.66728 3.65084i 0.0640316 0.140210i
\(679\) −13.4236 + 7.76919i −0.515149 + 0.298154i
\(680\) −5.85938 + 40.7529i −0.224697 + 1.56280i
\(681\) 16.4861 + 8.49915i 0.631747 + 0.325688i
\(682\) 2.16695 2.06618i 0.0829769 0.0791183i
\(683\) 11.2672 + 4.51071i 0.431128 + 0.172598i 0.577069 0.816696i \(-0.304197\pi\)
−0.145940 + 0.989293i \(0.546621\pi\)
\(684\) −0.973208 + 2.81190i −0.0372116 + 0.107516i
\(685\) −7.77159 4.99450i −0.296937 0.190830i
\(686\) 13.0925 25.5966i 0.499876 0.977284i
\(687\) 15.1735 4.45534i 0.578906 0.169982i
\(688\) −0.477814 + 0.670996i −0.0182165 + 0.0255815i
\(689\) 0.765064 1.32513i 0.0291466 0.0504834i
\(690\) −10.9810 + 23.1994i −0.418038 + 0.883186i
\(691\) 0.915590 + 1.58585i 0.0348307 + 0.0603285i 0.882915 0.469532i \(-0.155577\pi\)
−0.848085 + 0.529861i \(0.822244\pi\)
\(692\) −2.17624 4.76530i −0.0827283 0.181150i
\(693\) −3.15059 1.08667i −0.119681 0.0412792i
\(694\) 7.87790 9.09158i 0.299041 0.345112i
\(695\) 2.28821 48.0354i 0.0867966 1.82209i
\(696\) −5.80095 + 1.11804i −0.219885 + 0.0423793i
\(697\) 31.7875 + 12.7258i 1.20404 + 0.482024i
\(698\) −4.13551 17.0468i −0.156532 0.645232i
\(699\) 3.69398 2.37398i 0.139719 0.0897921i
\(700\) −7.25906 1.75284i −0.274367 0.0662510i
\(701\) 8.68862 19.0254i 0.328165 0.718581i −0.671586 0.740927i \(-0.734386\pi\)
0.999750 + 0.0223464i \(0.00711368\pi\)
\(702\) −0.371978 + 0.0355196i −0.0140394 + 0.00134060i
\(703\) −15.7290 12.3694i −0.593231 0.466522i
\(704\) −0.345059 7.24368i −0.0130049 0.273006i
\(705\) −8.42168 34.7146i −0.317179 1.30743i
\(706\) 5.85665 + 40.7339i 0.220418 + 1.53304i
\(707\) −15.2815 6.95914i −0.574719 0.261725i
\(708\) 4.62305 + 2.97105i 0.173745 + 0.111659i
\(709\) −16.3526 3.15170i −0.614134 0.118365i −0.127308 0.991863i \(-0.540634\pi\)
−0.486827 + 0.873499i \(0.661846\pi\)
\(710\) 15.9271 65.6525i 0.597734 2.46389i
\(711\) −12.8034 1.22257i −0.480164 0.0458501i
\(712\) −19.3419 33.5012i −0.724868 1.25551i
\(713\) 2.49644 6.90576i 0.0934926 0.258623i
\(714\) 18.0666 8.27403i 0.676125 0.309648i
\(715\) 0.434239 + 0.950852i 0.0162396 + 0.0355598i
\(716\) 4.41458 + 4.20929i 0.164980 + 0.157309i
\(717\) 3.77010 + 10.8930i 0.140797 + 0.406806i
\(718\) −30.5141 + 15.7311i −1.13878 + 0.587080i
\(719\) −3.96176 + 11.4467i −0.147749 + 0.426892i −0.994454 0.105170i \(-0.966461\pi\)
0.846706 + 0.532062i \(0.178583\pi\)
\(720\) −2.28234 15.8740i −0.0850579 0.591591i
\(721\) −8.16048 + 20.4470i −0.303912 + 0.761488i
\(722\) 43.9987 28.2763i 1.63746 1.05233i
\(723\) 11.7477 4.70307i 0.436902 0.174909i
\(724\) 2.91914 + 4.09936i 0.108489 + 0.152351i
\(725\) 9.55887 + 13.4236i 0.355008 + 0.498539i
\(726\) −13.5663 + 5.43114i −0.503494 + 0.201568i
\(727\) −24.1422 + 15.5153i −0.895386 + 0.575429i −0.905418 0.424520i \(-0.860443\pi\)
0.0100327 + 0.999950i \(0.496806\pi\)
\(728\) −0.973071 1.23465i −0.0360644 0.0457591i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −24.8690 + 71.8542i −0.920442 + 2.65944i
\(731\) −0.761482 + 0.392571i −0.0281644 + 0.0145198i
\(732\) −0.586829 1.69553i −0.0216898 0.0626686i
\(733\) 10.2724 + 9.79473i 0.379420 + 0.361776i 0.855659 0.517539i \(-0.173152\pi\)
−0.476239 + 0.879316i \(0.658000\pi\)
\(734\) 21.7972 + 47.7293i 0.804551 + 1.76172i
\(735\) −7.94166 22.7886i −0.292933 0.840570i
\(736\) 5.34786 + 9.56264i 0.197125 + 0.352484i
\(737\) 0.714063 + 1.23679i 0.0263028 + 0.0455579i
\(738\) −10.9369 1.04435i −0.402594 0.0384430i
\(739\) 8.12830 33.5053i 0.299004 1.23251i −0.601927 0.798551i \(-0.705600\pi\)
0.900931 0.433962i \(-0.142885\pi\)
\(740\) −3.82535 0.737276i −0.140623 0.0271028i
\(741\) 1.46988 + 0.944633i 0.0539973 + 0.0347020i
\(742\) −2.50953 25.9882i −0.0921277 0.954056i
\(743\) −5.80567 40.3793i −0.212989 1.48137i −0.763100 0.646281i \(-0.776323\pi\)
0.550110 0.835092i \(-0.314586\pi\)
\(744\) 0.891058 + 3.67299i 0.0326678 + 0.134658i
\(745\) −1.16052 24.3623i −0.0425182 0.892567i
\(746\) 23.4618 + 18.4506i 0.858999 + 0.675524i
\(747\) −17.9816 + 1.71703i −0.657912 + 0.0628230i
\(748\) −1.03778 + 2.27242i −0.0379450 + 0.0830880i
\(749\) 15.2779 + 3.68914i 0.558243 + 0.134798i
\(750\) −8.48925 + 5.45571i −0.309983 + 0.199214i
\(751\) 8.27197 + 34.0975i 0.301848 + 1.24424i 0.897508 + 0.440999i \(0.145376\pi\)
−0.595659 + 0.803237i \(0.703109\pi\)
\(752\) −44.7469 17.9140i −1.63175 0.653255i
\(753\) 13.9015 2.67930i 0.506600 0.0976392i
\(754\) 0.0425529 0.893296i 0.00154969 0.0325319i
\(755\) 27.3266 31.5365i 0.994516 1.14773i
\(756\) −0.818890 + 0.711102i −0.0297828 + 0.0258625i
\(757\) 12.0666 + 26.4221i 0.438566 + 0.960326i 0.991859 + 0.127340i \(0.0406438\pi\)
−0.553293 + 0.832987i \(0.686629\pi\)
\(758\) −3.93209 6.81058i −0.142820 0.247372i
\(759\) 4.01818 4.51098i 0.145851 0.163738i
\(760\) −30.8864 + 53.4967i −1.12037 + 1.94053i
\(761\) −0.797925 + 1.12053i −0.0289248 + 0.0406191i −0.828785 0.559567i \(-0.810967\pi\)
0.799860 + 0.600186i \(0.204907\pi\)
\(762\) 10.3205 3.03037i 0.373871 0.109779i
\(763\) −3.32941 + 11.3838i −0.120533 + 0.412122i
\(764\) 1.82851 + 1.17511i 0.0661533 + 0.0425141i
\(765\) 5.45531 15.7621i 0.197237 0.569879i
\(766\) 40.8875 + 16.3689i 1.47733 + 0.591432i
\(767\) 2.33543 2.22683i 0.0843276 0.0804062i
\(768\) −8.40221 4.33164i −0.303189 0.156305i
\(769\) −0.623183 + 4.33433i −0.0224726 + 0.156300i −0.997968 0.0637205i \(-0.979703\pi\)
0.975495 + 0.220021i \(0.0706125\pi\)
\(770\) 15.4564 + 8.90180i 0.557010 + 0.320798i
\(771\) −12.7766 + 27.9768i −0.460138 + 1.00756i
\(772\) −4.78937 + 1.91737i −0.172373 + 0.0690078i
\(773\)