Properties

Label 483.2.bf.a.61.20
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.20
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.230012 + 0.180883i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.451331 - 1.86041i) q^{4} +(-1.27384 + 0.245512i) q^{5} +(-0.0824394 - 0.280763i) q^{6} +(2.61056 - 0.430094i) q^{7} +(0.475820 - 1.04190i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(0.230012 + 0.180883i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.451331 - 1.86041i) q^{4} +(-1.27384 + 0.245512i) q^{5} +(-0.0824394 - 0.280763i) q^{6} +(2.61056 - 0.430094i) q^{7} +(0.475820 - 1.04190i) q^{8} +(0.327068 + 0.945001i) q^{9} +(-0.337407 - 0.173945i) q^{10} +(0.611869 + 0.778054i) q^{11} +(-0.711502 + 1.77725i) q^{12} +(-2.09313 - 3.25697i) q^{13} +(0.678256 + 0.373280i) q^{14} +(1.18005 + 0.538911i) q^{15} +(-3.10522 + 1.60085i) q^{16} +(-4.95298 - 4.72266i) q^{17} +(-0.0957053 + 0.276522i) q^{18} +(4.13392 - 3.94168i) q^{19} +(1.03168 + 2.25906i) q^{20} +(-2.37598 - 1.16393i) q^{21} +0.289638i q^{22} +(-3.75901 + 2.97823i) q^{23} +(-0.991953 + 0.572704i) q^{24} +(-3.07945 + 1.23283i) q^{25} +(0.107687 - 1.12775i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-1.97838 - 4.66260i) q^{28} +(-4.64767 + 1.36468i) q^{29} +(0.173945 + 0.337407i) q^{30} +(-0.638852 - 6.69036i) q^{31} +(-3.25322 - 0.627008i) q^{32} +(-0.0470977 - 0.988703i) q^{33} +(-0.284994 - 1.98218i) q^{34} +(-3.21984 + 1.18880i) q^{35} +(1.61048 - 1.03499i) q^{36} +(-4.80384 + 1.66262i) q^{37} +(1.66383 - 0.158877i) q^{38} +(-0.184217 + 3.86719i) q^{39} +(-0.350319 + 1.44403i) q^{40} +(5.07708 - 4.39932i) q^{41} +(-0.335967 - 0.697491i) q^{42} +(4.50785 - 2.05866i) q^{43} +(1.17135 - 1.48949i) q^{44} +(-0.648642 - 1.12348i) q^{45} +(-1.40333 + 0.00508622i) q^{46} +(1.16276 + 0.671322i) q^{47} +(3.45803 + 0.497189i) q^{48} +(6.63004 - 2.24557i) q^{49} +(-0.931306 - 0.273456i) q^{50} +(1.29517 + 6.71997i) q^{51} +(-5.11462 + 5.36406i) q^{52} +(12.3364 + 0.587653i) q^{53} +(0.238358 - 0.169734i) q^{54} +(-0.970445 - 0.840895i) q^{55} +(0.794041 - 2.92459i) q^{56} +(-5.65379 + 0.812892i) q^{57} +(-1.31586 - 0.526793i) q^{58} +(-3.40911 + 6.61275i) q^{59} +(0.470003 - 2.43861i) q^{60} +(3.79728 + 5.33253i) q^{61} +(1.06323 - 1.65442i) q^{62} +(1.26027 + 2.32631i) q^{63} +(3.94076 + 4.54788i) q^{64} +(3.46594 + 3.63497i) q^{65} +(0.168007 - 0.235932i) q^{66} +(-1.03715 - 2.59067i) q^{67} +(-6.55066 + 11.3461i) q^{68} +(4.78954 - 0.245556i) q^{69} +(-0.955634 - 0.308978i) q^{70} +(1.06973 - 7.44011i) q^{71} +(1.14022 + 0.108878i) q^{72} +(11.5843 - 2.81033i) q^{73} +(-1.40568 - 0.486510i) q^{74} +(3.22355 + 0.782026i) q^{75} +(-9.19892 - 5.91179i) q^{76} +(1.93196 + 1.76800i) q^{77} +(-0.741881 + 0.856176i) q^{78} +(-0.687719 + 0.0327601i) q^{79} +(3.56253 - 2.80160i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(1.96355 - 0.0935355i) q^{82} +(5.99182 - 6.91493i) q^{83} +(-1.09304 + 4.94562i) q^{84} +(7.46877 + 4.79989i) q^{85} +(1.40923 + 0.341877i) q^{86} +(4.57747 + 1.58428i) q^{87} +(1.10179 - 0.267292i) q^{88} +(0.895572 + 0.0855167i) q^{89} +(0.0540235 - 0.375742i) q^{90} +(-6.86504 - 7.60228i) q^{91} +(7.23729 + 5.64914i) q^{92} +(-3.36039 + 5.82037i) q^{93} +(0.146018 + 0.364736i) q^{94} +(-4.29821 + 6.03600i) q^{95} +(2.28630 + 2.39780i) q^{96} +(-9.96128 - 11.4959i) q^{97} +(1.93117 + 0.682755i) q^{98} +(-0.535139 + 0.832693i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.230012 + 0.180883i 0.162643 + 0.127904i 0.696163 0.717883i \(-0.254889\pi\)
−0.533521 + 0.845787i \(0.679131\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) −0.451331 1.86041i −0.225666 0.930206i
\(5\) −1.27384 + 0.245512i −0.569678 + 0.109797i −0.465953 0.884809i \(-0.654288\pi\)
−0.103725 + 0.994606i \(0.533076\pi\)
\(6\) −0.0824394 0.280763i −0.0336558 0.114621i
\(7\) 2.61056 0.430094i 0.986699 0.162560i
\(8\) 0.475820 1.04190i 0.168228 0.368367i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) −0.337407 0.173945i −0.106697 0.0550064i
\(11\) 0.611869 + 0.778054i 0.184485 + 0.234592i 0.869495 0.493942i \(-0.164444\pi\)
−0.685010 + 0.728534i \(0.740202\pi\)
\(12\) −0.711502 + 1.77725i −0.205393 + 0.513047i
\(13\) −2.09313 3.25697i −0.580530 0.903322i 0.419460 0.907774i \(-0.362219\pi\)
−0.999990 + 0.00445189i \(0.998583\pi\)
\(14\) 0.678256 + 0.373280i 0.181271 + 0.0997632i
\(15\) 1.18005 + 0.538911i 0.304688 + 0.139146i
\(16\) −3.10522 + 1.60085i −0.776306 + 0.400214i
\(17\) −4.95298 4.72266i −1.20127 1.14541i −0.985626 0.168941i \(-0.945965\pi\)
−0.215648 0.976471i \(-0.569186\pi\)
\(18\) −0.0957053 + 0.276522i −0.0225580 + 0.0651769i
\(19\) 4.13392 3.94168i 0.948385 0.904284i −0.0471295 0.998889i \(-0.515007\pi\)
0.995515 + 0.0946051i \(0.0301588\pi\)
\(20\) 1.03168 + 2.25906i 0.230690 + 0.505141i
\(21\) −2.37598 1.16393i −0.518481 0.253990i
\(22\) 0.289638i 0.0617511i
\(23\) −3.75901 + 2.97823i −0.783807 + 0.621004i
\(24\) −0.991953 + 0.572704i −0.202482 + 0.116903i
\(25\) −3.07945 + 1.23283i −0.615890 + 0.246565i
\(26\) 0.107687 1.12775i 0.0211192 0.221171i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −1.97838 4.66260i −0.373878 0.881149i
\(29\) −4.64767 + 1.36468i −0.863050 + 0.253414i −0.683157 0.730272i \(-0.739393\pi\)
−0.179893 + 0.983686i \(0.557575\pi\)
\(30\) 0.173945 + 0.337407i 0.0317579 + 0.0616018i
\(31\) −0.638852 6.69036i −0.114741 1.20162i −0.851089 0.525021i \(-0.824058\pi\)
0.736348 0.676603i \(-0.236548\pi\)
\(32\) −3.25322 0.627008i −0.575094 0.110840i
\(33\) −0.0470977 0.988703i −0.00819866 0.172111i
\(34\) −0.284994 1.98218i −0.0488761 0.339940i
\(35\) −3.21984 + 1.18880i −0.544252 + 0.200943i
\(36\) 1.61048 1.03499i 0.268413 0.172498i
\(37\) −4.80384 + 1.66262i −0.789746 + 0.273334i −0.692019 0.721880i \(-0.743278\pi\)
−0.0977271 + 0.995213i \(0.531157\pi\)
\(38\) 1.66383 0.158877i 0.269909 0.0257732i
\(39\) −0.184217 + 3.86719i −0.0294983 + 0.619245i
\(40\) −0.350319 + 1.44403i −0.0553903 + 0.228322i
\(41\) 5.07708 4.39932i 0.792907 0.687058i −0.161068 0.986943i \(-0.551494\pi\)
0.953975 + 0.299885i \(0.0969484\pi\)
\(42\) −0.335967 0.697491i −0.0518409 0.107625i
\(43\) 4.50785 2.05866i 0.687440 0.313943i −0.0408960 0.999163i \(-0.513021\pi\)
0.728336 + 0.685220i \(0.240294\pi\)
\(44\) 1.17135 1.48949i 0.176587 0.224549i
\(45\) −0.648642 1.12348i −0.0966938 0.167479i
\(46\) −1.40333 + 0.00508622i −0.206909 + 0.000749922i
\(47\) 1.16276 + 0.671322i 0.169607 + 0.0979224i 0.582400 0.812902i \(-0.302114\pi\)
−0.412794 + 0.910825i \(0.635447\pi\)
\(48\) 3.45803 + 0.497189i 0.499123 + 0.0717631i
\(49\) 6.63004 2.24557i 0.947148 0.320796i
\(50\) −0.931306 0.273456i −0.131707 0.0386725i
\(51\) 1.29517 + 6.71997i 0.181360 + 0.940984i
\(52\) −5.11462 + 5.36406i −0.709270 + 0.743861i
\(53\) 12.3364 + 0.587653i 1.69453 + 0.0807204i 0.872465 0.488676i \(-0.162520\pi\)
0.822063 + 0.569396i \(0.192823\pi\)
\(54\) 0.238358 0.169734i 0.0324364 0.0230979i
\(55\) −0.970445 0.840895i −0.130855 0.113386i
\(56\) 0.794041 2.92459i 0.106108 0.390815i
\(57\) −5.65379 + 0.812892i −0.748863 + 0.107670i
\(58\) −1.31586 0.526793i −0.172781 0.0691713i
\(59\) −3.40911 + 6.61275i −0.443828 + 0.860907i 0.555735 + 0.831360i \(0.312437\pi\)
−0.999563 + 0.0295475i \(0.990593\pi\)
\(60\) 0.470003 2.43861i 0.0606771 0.314823i
\(61\) 3.79728 + 5.33253i 0.486191 + 0.682760i 0.982686 0.185280i \(-0.0593191\pi\)
−0.496495 + 0.868040i \(0.665380\pi\)
\(62\) 1.06323 1.65442i 0.135030 0.210111i
\(63\) 1.26027 + 2.32631i 0.158779 + 0.293088i
\(64\) 3.94076 + 4.54788i 0.492595 + 0.568485i
\(65\) 3.46594 + 3.63497i 0.429897 + 0.450863i
\(66\) 0.168007 0.235932i 0.0206802 0.0290413i
\(67\) −1.03715 2.59067i −0.126708 0.316500i 0.851427 0.524473i \(-0.175738\pi\)
−0.978135 + 0.207973i \(0.933313\pi\)
\(68\) −6.55066 + 11.3461i −0.794384 + 1.37591i
\(69\) 4.78954 0.245556i 0.576593 0.0295614i
\(70\) −0.955634 0.308978i −0.114220 0.0369299i
\(71\) 1.06973 7.44011i 0.126953 0.882979i −0.822432 0.568864i \(-0.807383\pi\)
0.949385 0.314115i \(-0.101708\pi\)
\(72\) 1.14022 + 0.108878i 0.134376 + 0.0128314i
\(73\) 11.5843 2.81033i 1.35584 0.328924i 0.508999 0.860767i \(-0.330016\pi\)
0.846843 + 0.531843i \(0.178500\pi\)
\(74\) −1.40568 0.486510i −0.163407 0.0565557i
\(75\) 3.22355 + 0.782026i 0.372224 + 0.0903005i
\(76\) −9.19892 5.91179i −1.05519 0.678128i
\(77\) 1.93196 + 1.76800i 0.220167 + 0.201482i
\(78\) −0.741881 + 0.856176i −0.0840014 + 0.0969428i
\(79\) −0.687719 + 0.0327601i −0.0773744 + 0.00368580i −0.0862334 0.996275i \(-0.527483\pi\)
0.00885900 + 0.999961i \(0.497180\pi\)
\(80\) 3.56253 2.80160i 0.398303 0.313229i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 1.96355 0.0935355i 0.216838 0.0103293i
\(83\) 5.99182 6.91493i 0.657687 0.759012i −0.324710 0.945814i \(-0.605267\pi\)
0.982398 + 0.186802i \(0.0598122\pi\)
\(84\) −1.09304 + 4.94562i −0.119260 + 0.539611i
\(85\) 7.46877 + 4.79989i 0.810102 + 0.520621i
\(86\) 1.40923 + 0.341877i 0.151962 + 0.0368655i
\(87\) 4.57747 + 1.58428i 0.490756 + 0.169852i
\(88\) 1.10179 0.267292i 0.117452 0.0284935i
\(89\) 0.895572 + 0.0855167i 0.0949304 + 0.00906476i 0.142413 0.989807i \(-0.454514\pi\)
−0.0474827 + 0.998872i \(0.515120\pi\)
\(90\) 0.0540235 0.375742i 0.00569458 0.0396067i
\(91\) −6.86504 7.60228i −0.719652 0.796935i
\(92\) 7.23729 + 5.64914i 0.754540 + 0.588963i
\(93\) −3.36039 + 5.82037i −0.348457 + 0.603545i
\(94\) 0.146018 + 0.364736i 0.0150606 + 0.0376197i
\(95\) −4.29821 + 6.03600i −0.440988 + 0.619280i
\(96\) 2.28630 + 2.39780i 0.233344 + 0.244724i
\(97\) −9.96128 11.4959i −1.01141 1.16723i −0.985862 0.167561i \(-0.946411\pi\)
−0.0255531 0.999673i \(-0.508135\pi\)
\(98\) 1.93117 + 0.682755i 0.195078 + 0.0689687i
\(99\) −0.535139 + 0.832693i −0.0537835 + 0.0836888i
\(100\) 3.68341 + 5.17263i 0.368341 + 0.517263i
\(101\) −2.18295 + 11.3262i −0.217212 + 1.12700i 0.695540 + 0.718487i \(0.255165\pi\)
−0.912752 + 0.408514i \(0.866047\pi\)
\(102\) −0.917626 + 1.77995i −0.0908585 + 0.176241i
\(103\) −13.8035 5.52608i −1.36010 0.544501i −0.427041 0.904232i \(-0.640444\pi\)
−0.933056 + 0.359732i \(0.882868\pi\)
\(104\) −4.38939 + 0.631100i −0.430415 + 0.0618844i
\(105\) 3.31237 + 0.899327i 0.323255 + 0.0877653i
\(106\) 2.73121 + 2.36661i 0.265278 + 0.229865i
\(107\) −5.59856 + 3.98672i −0.541233 + 0.385411i −0.817728 0.575605i \(-0.804767\pi\)
0.276494 + 0.961016i \(0.410827\pi\)
\(108\) −1.91221 0.0910897i −0.184002 0.00876511i
\(109\) 8.92728 9.36266i 0.855078 0.896780i −0.140561 0.990072i \(-0.544891\pi\)
0.995639 + 0.0932920i \(0.0297390\pi\)
\(110\) −0.0711098 0.368953i −0.00678005 0.0351783i
\(111\) 4.87751 + 1.43216i 0.462952 + 0.135935i
\(112\) −7.41785 + 5.51466i −0.700921 + 0.521087i
\(113\) 16.0744 + 2.31114i 1.51215 + 0.217414i 0.847924 0.530118i \(-0.177853\pi\)
0.664225 + 0.747533i \(0.268762\pi\)
\(114\) −1.44748 0.835700i −0.135568 0.0782705i
\(115\) 4.05718 4.71667i 0.378334 0.439832i
\(116\) 4.63650 + 8.03066i 0.430488 + 0.745628i
\(117\) 2.39325 3.04326i 0.221256 0.281350i
\(118\) −1.98027 + 0.904359i −0.182299 + 0.0832530i
\(119\) −14.9612 10.1985i −1.37149 0.934898i
\(120\) 1.12298 0.973070i 0.102514 0.0888288i
\(121\) 2.36236 9.73779i 0.214760 0.885254i
\(122\) −0.0911468 + 1.91341i −0.00825204 + 0.173232i
\(123\) −6.68753 + 0.638581i −0.602994 + 0.0575789i
\(124\) −12.1585 + 4.20809i −1.09186 + 0.377898i
\(125\) 9.07677 5.83329i 0.811851 0.521745i
\(126\) −0.130914 + 0.763040i −0.0116627 + 0.0679770i
\(127\) 1.04343 + 7.25724i 0.0925898 + 0.643976i 0.982281 + 0.187413i \(0.0600104\pi\)
−0.889691 + 0.456562i \(0.849081\pi\)
\(128\) 0.399073 + 8.37757i 0.0352734 + 0.740480i
\(129\) −4.86613 0.937869i −0.428439 0.0825748i
\(130\) 0.139701 + 1.46302i 0.0122526 + 0.128315i
\(131\) 6.52865 + 12.6638i 0.570411 + 1.10644i 0.980888 + 0.194572i \(0.0623318\pi\)
−0.410477 + 0.911871i \(0.634638\pi\)
\(132\) −1.81814 + 0.533854i −0.158249 + 0.0464660i
\(133\) 9.09654 12.0680i 0.788770 1.04643i
\(134\) 0.230052 0.783485i 0.0198735 0.0676828i
\(135\) −0.123315 + 1.29141i −0.0106132 + 0.111147i
\(136\) −7.27726 + 2.91338i −0.624020 + 0.249820i
\(137\) −11.8673 + 6.85161i −1.01390 + 0.585373i −0.912330 0.409456i \(-0.865718\pi\)
−0.101565 + 0.994829i \(0.532385\pi\)
\(138\) 1.14607 + 0.809867i 0.0975597 + 0.0689404i
\(139\) 15.4688i 1.31204i 0.754742 + 0.656022i \(0.227762\pi\)
−0.754742 + 0.656022i \(0.772238\pi\)
\(140\) 3.66486 + 5.45369i 0.309738 + 0.460921i
\(141\) −0.557755 1.22131i −0.0469714 0.102853i
\(142\) 1.59184 1.51782i 0.133584 0.127372i
\(143\) 1.25338 3.62141i 0.104813 0.302837i
\(144\) −2.52843 2.41085i −0.210702 0.200904i
\(145\) 5.58534 2.87944i 0.463837 0.239125i
\(146\) 3.17287 + 1.44900i 0.262588 + 0.119920i
\(147\) −6.70323 2.01661i −0.552873 0.166327i
\(148\) 5.26129 + 8.18672i 0.432475 + 0.672944i
\(149\) −2.32501 + 5.80761i −0.190473 + 0.475778i −0.992608 0.121365i \(-0.961273\pi\)
0.802135 + 0.597142i \(0.203697\pi\)
\(150\) 0.600000 + 0.762961i 0.0489898 + 0.0622955i
\(151\) 17.1671 + 8.85027i 1.39704 + 0.720225i 0.981876 0.189522i \(-0.0606938\pi\)
0.415164 + 0.909747i \(0.363724\pi\)
\(152\) −2.13984 6.18266i −0.173564 0.501480i
\(153\) 2.84295 6.22520i 0.229839 0.503278i
\(154\) 0.124572 + 0.756118i 0.0100383 + 0.0609297i
\(155\) 2.45636 + 8.36559i 0.197300 + 0.671941i
\(156\) 7.27770 1.40266i 0.582683 0.112303i
\(157\) 1.57956 + 6.51103i 0.126062 + 0.519637i 0.999467 + 0.0326414i \(0.0103919\pi\)
−0.873405 + 0.486995i \(0.838093\pi\)
\(158\) −0.164109 0.116862i −0.0130558 0.00929701i
\(159\) −9.70803 7.63448i −0.769897 0.605453i
\(160\) 4.29802 0.339789
\(161\) −8.53220 + 9.39157i −0.672431 + 0.740160i
\(162\) −0.292616 −0.0229901
\(163\) −7.51048 5.90630i −0.588266 0.462617i 0.279118 0.960257i \(-0.409958\pi\)
−0.867384 + 0.497639i \(0.834200\pi\)
\(164\) −10.4760 7.45992i −0.818038 0.582522i
\(165\) 0.302734 + 1.24789i 0.0235678 + 0.0971478i
\(166\) 2.62898 0.506695i 0.204049 0.0393271i
\(167\) −2.70624 9.21659i −0.209415 0.713201i −0.995473 0.0950485i \(-0.969699\pi\)
0.786058 0.618153i \(-0.212119\pi\)
\(168\) −2.34324 + 1.92171i −0.180785 + 0.148263i
\(169\) −0.826286 + 1.80931i −0.0635605 + 0.139178i
\(170\) 0.849686 + 2.45501i 0.0651679 + 0.188290i
\(171\) 5.07696 + 2.61736i 0.388245 + 0.200154i
\(172\) −5.86450 7.45732i −0.447164 0.568615i
\(173\) 6.82569 17.0497i 0.518948 1.29627i −0.405198 0.914229i \(-0.632798\pi\)
0.924146 0.382040i \(-0.124778\pi\)
\(174\) 0.766302 + 1.19239i 0.0580932 + 0.0903948i
\(175\) −7.50885 + 4.54281i −0.567616 + 0.343405i
\(176\) −3.14554 1.43652i −0.237104 0.108282i
\(177\) 6.61275 3.40911i 0.497045 0.256244i
\(178\) 0.190523 + 0.181664i 0.0142803 + 0.0136163i
\(179\) 3.51825 10.1653i 0.262966 0.759792i −0.733795 0.679371i \(-0.762253\pi\)
0.996761 0.0804202i \(-0.0256262\pi\)
\(180\) −1.79738 + 1.71380i −0.133969 + 0.127739i
\(181\) 2.48686 + 5.44546i 0.184847 + 0.404758i 0.979257 0.202624i \(-0.0649469\pi\)
−0.794410 + 0.607382i \(0.792220\pi\)
\(182\) −0.203915 2.99038i −0.0151152 0.221662i
\(183\) 6.54638i 0.483923i
\(184\) 1.31441 + 5.33361i 0.0968994 + 0.393199i
\(185\) 5.71112 3.29732i 0.419890 0.242424i
\(186\) −1.82574 + 0.730915i −0.133870 + 0.0535933i
\(187\) 0.643910 6.74333i 0.0470874 0.493121i
\(188\) 0.724144 2.46621i 0.0528137 0.179867i
\(189\) 0.322808 2.62598i 0.0234808 0.191012i
\(190\) −2.08045 + 0.610875i −0.150932 + 0.0443175i
\(191\) −11.1532 21.6342i −0.807019 1.56540i −0.824711 0.565555i \(-0.808662\pi\)
0.0176920 0.999843i \(-0.494368\pi\)
\(192\) −0.572020 5.99046i −0.0412820 0.432324i
\(193\) 24.4691 + 4.71603i 1.76132 + 0.339468i 0.964367 0.264568i \(-0.0852292\pi\)
0.796958 + 0.604035i \(0.206441\pi\)
\(194\) −0.211790 4.44603i −0.0152057 0.319206i
\(195\) −0.714780 4.97140i −0.0511864 0.356010i
\(196\) −7.17003 11.3211i −0.512145 0.808651i
\(197\) −1.14091 + 0.733218i −0.0812865 + 0.0522396i −0.580653 0.814151i \(-0.697203\pi\)
0.499366 + 0.866391i \(0.333566\pi\)
\(198\) −0.273708 + 0.0947314i −0.0194516 + 0.00673227i
\(199\) 5.82157 0.555892i 0.412680 0.0394062i 0.113348 0.993555i \(-0.463842\pi\)
0.299332 + 0.954149i \(0.403236\pi\)
\(200\) −0.180782 + 3.79508i −0.0127832 + 0.268353i
\(201\) −0.657899 + 2.71190i −0.0464046 + 0.191282i
\(202\) −2.55083 + 2.21030i −0.179476 + 0.155516i
\(203\) −11.5461 + 5.56151i −0.810375 + 0.390341i
\(204\) 11.9174 5.44248i 0.834383 0.381050i
\(205\) −5.38730 + 6.85051i −0.376266 + 0.478461i
\(206\) −2.17539 3.76788i −0.151566 0.262520i
\(207\) −4.04388 2.57818i −0.281069 0.179196i
\(208\) 11.7136 + 6.76284i 0.812190 + 0.468918i
\(209\) 5.59626 + 0.804620i 0.387101 + 0.0556567i
\(210\) 0.599211 + 0.806008i 0.0413495 + 0.0556198i
\(211\) 5.35232 + 1.57158i 0.368469 + 0.108192i 0.460725 0.887543i \(-0.347590\pi\)
−0.0922560 + 0.995735i \(0.529408\pi\)
\(212\) −4.47451 23.2159i −0.307310 1.59448i
\(213\) −5.18706 + 5.44004i −0.355412 + 0.372745i
\(214\) −2.00886 0.0956940i −0.137323 0.00654151i
\(215\) −5.23685 + 3.72914i −0.357150 + 0.254325i
\(216\) −0.865642 0.750083i −0.0588995 0.0510367i
\(217\) −4.54524 17.1908i −0.308551 1.16699i
\(218\) 3.74692 0.538726i 0.253774 0.0364872i
\(219\) −11.0665 4.43034i −0.747802 0.299375i
\(220\) −1.12642 + 2.18495i −0.0759432 + 0.147309i
\(221\) −5.01434 + 26.0169i −0.337301 + 1.75008i
\(222\) 0.862828 + 1.21167i 0.0579093 + 0.0813222i
\(223\) 2.69748 4.19737i 0.180637 0.281077i −0.739113 0.673581i \(-0.764755\pi\)
0.919750 + 0.392505i \(0.128391\pi\)
\(224\) −8.76241 0.237649i −0.585463 0.0158786i
\(225\) −2.17221 2.50686i −0.144814 0.167124i
\(226\) 3.27924 + 3.43917i 0.218132 + 0.228770i
\(227\) −1.94056 + 2.72513i −0.128799 + 0.180873i −0.873940 0.486034i \(-0.838443\pi\)
0.745140 + 0.666908i \(0.232382\pi\)
\(228\) 4.06405 + 10.1515i 0.269148 + 0.672299i
\(229\) −2.38875 + 4.13744i −0.157853 + 0.273410i −0.934094 0.357027i \(-0.883791\pi\)
0.776241 + 0.630436i \(0.217124\pi\)
\(230\) 1.78637 0.351013i 0.117789 0.0231451i
\(231\) −0.548186 2.56081i −0.0360680 0.168489i
\(232\) −0.789594 + 5.49175i −0.0518394 + 0.360551i
\(233\) 3.37136 + 0.321926i 0.220865 + 0.0210900i 0.204902 0.978783i \(-0.434313\pi\)
0.0159631 + 0.999873i \(0.494919\pi\)
\(234\) 1.10095 0.267087i 0.0719713 0.0174600i
\(235\) −1.64599 0.569684i −0.107373 0.0371621i
\(236\) 13.8411 + 3.35781i 0.900978 + 0.218575i
\(237\) 0.579202 + 0.372231i 0.0376232 + 0.0241790i
\(238\) −1.59652 5.05201i −0.103487 0.327473i
\(239\) 3.85379 4.44752i 0.249281 0.287686i −0.617294 0.786733i \(-0.711771\pi\)
0.866575 + 0.499047i \(0.166316\pi\)
\(240\) −4.52704 + 0.215649i −0.292219 + 0.0139201i
\(241\) −8.97969 + 7.06170i −0.578432 + 0.454884i −0.864012 0.503471i \(-0.832056\pi\)
0.285580 + 0.958355i \(0.407814\pi\)
\(242\) 2.30477 1.81249i 0.148156 0.116512i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 8.20687 9.47123i 0.525391 0.606334i
\(245\) −7.89429 + 4.48825i −0.504348 + 0.286744i
\(246\) −1.65372 1.06278i −0.105437 0.0677604i
\(247\) −21.4908 5.21360i −1.36742 0.331734i
\(248\) −7.27466 2.51778i −0.461941 0.159880i
\(249\) −8.89184 + 2.15714i −0.563498 + 0.136703i
\(250\) 3.14291 + 0.300111i 0.198775 + 0.0189807i
\(251\) 0.815493 5.67188i 0.0514735 0.358006i −0.947764 0.318971i \(-0.896663\pi\)
0.999238 0.0390345i \(-0.0124282\pi\)
\(252\) 3.75910 3.39456i 0.236801 0.213837i
\(253\) −4.61724 1.10243i −0.290284 0.0693090i
\(254\) −1.07271 + 1.85799i −0.0673078 + 0.116581i
\(255\) −3.29967 8.24219i −0.206634 0.516146i
\(256\) 5.55766 7.80464i 0.347354 0.487790i
\(257\) −11.2446 11.7930i −0.701420 0.735628i 0.272591 0.962130i \(-0.412119\pi\)
−0.974011 + 0.226502i \(0.927271\pi\)
\(258\) −0.949621 1.09592i −0.0591208 0.0682291i
\(259\) −11.8256 + 6.40648i −0.734808 + 0.398079i
\(260\) 5.19826 8.08865i 0.322382 0.501637i
\(261\) −2.80972 3.94571i −0.173918 0.244233i
\(262\) −0.789005 + 4.09375i −0.0487449 + 0.252913i
\(263\) 10.5624 20.4881i 0.651303 1.26335i −0.299660 0.954046i \(-0.596873\pi\)
0.950963 0.309305i \(-0.100096\pi\)
\(264\) −1.05254 0.421373i −0.0647794 0.0259337i
\(265\) −15.8588 + 2.28015i −0.974199 + 0.140069i
\(266\) 4.27520 1.13036i 0.262129 0.0693069i
\(267\) −0.679907 0.589143i −0.0416096 0.0360549i
\(268\) −4.35161 + 3.09877i −0.265817 + 0.189287i
\(269\) 7.95341 + 0.378867i 0.484928 + 0.0231000i 0.288623 0.957443i \(-0.406803\pi\)
0.196305 + 0.980543i \(0.437106\pi\)
\(270\) −0.261958 + 0.274734i −0.0159423 + 0.0167198i
\(271\) 3.88589 + 20.1619i 0.236051 + 1.22475i 0.885607 + 0.464435i \(0.153743\pi\)
−0.649556 + 0.760314i \(0.725045\pi\)
\(272\) 22.9404 + 6.73591i 1.39097 + 0.408424i
\(273\) 1.18234 + 10.1747i 0.0715587 + 0.615804i
\(274\) −3.96897 0.570651i −0.239774 0.0344743i
\(275\) −2.84342 1.64165i −0.171465 0.0989953i
\(276\) −2.61850 8.79970i −0.157615 0.529679i
\(277\) 9.04303 + 15.6630i 0.543343 + 0.941098i 0.998709 + 0.0507935i \(0.0161750\pi\)
−0.455366 + 0.890304i \(0.650492\pi\)
\(278\) −2.79804 + 3.55800i −0.167815 + 0.213395i
\(279\) 6.11344 2.79192i 0.366002 0.167148i
\(280\) −0.293458 + 3.92041i −0.0175375 + 0.234289i
\(281\) 13.1832 11.4233i 0.786444 0.681458i −0.166015 0.986123i \(-0.553090\pi\)
0.952459 + 0.304666i \(0.0985447\pi\)
\(282\) 0.0926247 0.381804i 0.00551572 0.0227361i
\(283\) −0.743577 + 15.6096i −0.0442011 + 0.927895i 0.862483 + 0.506085i \(0.168908\pi\)
−0.906684 + 0.421810i \(0.861395\pi\)
\(284\) −14.3245 + 1.36782i −0.850002 + 0.0811653i
\(285\) 7.00244 2.42357i 0.414789 0.143560i
\(286\) 0.943344 0.606250i 0.0557811 0.0358483i
\(287\) 11.3619 13.6683i 0.670672 0.806815i
\(288\) −0.471503 3.27937i −0.0277836 0.193239i
\(289\) 1.41963 + 29.8017i 0.0835076 + 1.75304i
\(290\) 1.80553 + 0.347988i 0.106025 + 0.0204346i
\(291\) 1.44593 + 15.1424i 0.0847617 + 0.887664i
\(292\) −10.4567 20.2832i −0.611934 1.18699i
\(293\) −28.8690 + 8.47671i −1.68655 + 0.495215i −0.977675 0.210123i \(-0.932614\pi\)
−0.708872 + 0.705338i \(0.750795\pi\)
\(294\) −1.17705 1.67635i −0.0686469 0.0977664i
\(295\) 2.71915 9.26057i 0.158315 0.539171i
\(296\) −0.553473 + 5.79623i −0.0321699 + 0.336899i
\(297\) 0.918921 0.367880i 0.0533212 0.0213466i
\(298\) −1.58528 + 0.915261i −0.0918327 + 0.0530196i
\(299\) 17.5681 + 6.00917i 1.01599 + 0.347519i
\(300\) 6.35009i 0.366623i
\(301\) 10.8826 7.31306i 0.627262 0.421518i
\(302\) 2.34777 + 5.14091i 0.135099 + 0.295826i
\(303\) 8.34803 7.95983i 0.479582 0.457280i
\(304\) −6.52668 + 18.8576i −0.374331 + 1.08156i
\(305\) −6.14632 5.86051i −0.351937 0.335572i
\(306\) 1.77995 0.917626i 0.101753 0.0524572i
\(307\) −22.3283 10.1970i −1.27434 0.581973i −0.340697 0.940173i \(-0.610663\pi\)
−0.933645 + 0.358201i \(0.883390\pi\)
\(308\) 2.41725 4.39219i 0.137736 0.250268i
\(309\) 8.03854 + 12.5082i 0.457296 + 0.711567i
\(310\) −0.948204 + 2.36850i −0.0538543 + 0.134522i
\(311\) −3.59406 4.57022i −0.203801 0.259153i 0.673399 0.739279i \(-0.264834\pi\)
−0.877200 + 0.480126i \(0.840591\pi\)
\(312\) 3.94157 + 2.03202i 0.223147 + 0.115040i
\(313\) 1.32980 + 3.84221i 0.0751649 + 0.217175i 0.976324 0.216314i \(-0.0694036\pi\)
−0.901159 + 0.433489i \(0.857282\pi\)
\(314\) −0.814418 + 1.78333i −0.0459603 + 0.100639i
\(315\) −2.17652 2.65394i −0.122633 0.149532i
\(316\) 0.371336 + 1.26466i 0.0208893 + 0.0711424i
\(317\) 19.8809 3.83173i 1.11662 0.215211i 0.402629 0.915363i \(-0.368096\pi\)
0.713994 + 0.700152i \(0.246884\pi\)
\(318\) −0.852011 3.51204i −0.0477784 0.196945i
\(319\) −3.90555 2.78113i −0.218669 0.155714i
\(320\) −6.13646 4.82577i −0.343039 0.269769i
\(321\) 6.87298 0.383612
\(322\) −3.66128 + 0.616840i −0.204035 + 0.0343752i
\(323\) −39.0904 −2.17505
\(324\) 1.50480 + 1.18339i 0.0836001 + 0.0657438i
\(325\) 10.4610 + 7.44922i 0.580270 + 0.413208i
\(326\) −0.659146 2.71704i −0.0365067 0.150483i
\(327\) −12.7028 + 2.44827i −0.702468 + 0.135390i
\(328\) −2.16787 7.38310i −0.119701 0.407663i
\(329\) 3.32420 + 1.25243i 0.183269 + 0.0690486i
\(330\) −0.156089 + 0.341788i −0.00859243 + 0.0188148i
\(331\) −2.90481 8.39289i −0.159663 0.461315i 0.836588 0.547833i \(-0.184547\pi\)
−0.996250 + 0.0865182i \(0.972426\pi\)
\(332\) −15.5689 8.02633i −0.854455 0.440502i
\(333\) −3.14236 3.99584i −0.172200 0.218971i
\(334\) 1.04466 2.60944i 0.0571613 0.142782i
\(335\) 1.95720 + 3.04546i 0.106933 + 0.166391i
\(336\) 9.24122 0.189334i 0.504150 0.0103290i
\(337\) −5.68819 2.59771i −0.309855 0.141506i 0.254418 0.967094i \(-0.418116\pi\)
−0.564273 + 0.825588i \(0.690843\pi\)
\(338\) −0.517330 + 0.266702i −0.0281390 + 0.0145067i
\(339\) −11.7532 11.2066i −0.638346 0.608662i
\(340\) 5.55888 16.0613i 0.301473 0.871048i
\(341\) 4.81457 4.59068i 0.260723 0.248599i
\(342\) 0.694325 + 1.52036i 0.0375448 + 0.0822116i
\(343\) 16.3423 8.71373i 0.882401 0.470497i
\(344\) 5.67628i 0.306045i
\(345\) −6.04082 + 1.48869i −0.325227 + 0.0801484i
\(346\) 4.65400 2.68699i 0.250201 0.144453i
\(347\) −31.5826 + 12.6438i −1.69544 + 0.678754i −0.999236 0.0390857i \(-0.987555\pi\)
−0.696209 + 0.717839i \(0.745131\pi\)
\(348\) 0.881455 9.23101i 0.0472509 0.494834i
\(349\) 2.69131 9.16575i 0.144062 0.490631i −0.855572 0.517684i \(-0.826794\pi\)
0.999634 + 0.0270531i \(0.00861232\pi\)
\(350\) −2.54884 0.313325i −0.136241 0.0167479i
\(351\) −3.71475 + 1.09075i −0.198278 + 0.0582198i
\(352\) −1.50270 2.91483i −0.0800942 0.155361i
\(353\) −2.75391 28.8402i −0.146576 1.53501i −0.707244 0.706969i \(-0.750062\pi\)
0.560669 0.828040i \(-0.310544\pi\)
\(354\) 2.13766 + 0.412000i 0.113615 + 0.0218976i
\(355\) 0.463980 + 9.74014i 0.0246255 + 0.516953i
\(356\) −0.245103 1.70473i −0.0129904 0.0903505i
\(357\) 6.27133 + 16.9858i 0.331914 + 0.898986i
\(358\) 2.64797 1.70175i 0.139950 0.0899402i
\(359\) −10.1154 + 3.50099i −0.533873 + 0.184775i −0.580685 0.814129i \(-0.697215\pi\)
0.0468119 + 0.998904i \(0.485094\pi\)
\(360\) −1.47919 + 0.141246i −0.0779602 + 0.00744430i
\(361\) 0.648357 13.6107i 0.0341240 0.716352i
\(362\) −0.412986 + 1.70235i −0.0217061 + 0.0894736i
\(363\) −7.57280 + 6.56187i −0.397469 + 0.344409i
\(364\) −11.0450 + 16.2030i −0.578914 + 0.849266i
\(365\) −14.0666 + 6.42400i −0.736279 + 0.336247i
\(366\) 1.18413 1.50574i 0.0618955 0.0787065i
\(367\) 7.14205 + 12.3704i 0.372812 + 0.645729i 0.989997 0.141089i \(-0.0450603\pi\)
−0.617185 + 0.786818i \(0.711727\pi\)
\(368\) 6.90485 15.2657i 0.359940 0.795779i
\(369\) 5.81791 + 3.35897i 0.302868 + 0.174861i
\(370\) 1.91005 + 0.274624i 0.0992990 + 0.0142770i
\(371\) 32.4575 3.77169i 1.68511 0.195816i
\(372\) 12.3449 + 3.62480i 0.640056 + 0.187937i
\(373\) 1.13347 + 5.88101i 0.0586889 + 0.304507i 0.999397 0.0347089i \(-0.0110504\pi\)
−0.940709 + 0.339216i \(0.889838\pi\)
\(374\) 1.36786 1.43457i 0.0707305 0.0741800i
\(375\) −10.7774 0.513389i −0.556540 0.0265113i
\(376\) 1.25272 0.892056i 0.0646039 0.0460043i
\(377\) 14.1729 + 12.2809i 0.729941 + 0.632497i
\(378\) 0.549246 0.545617i 0.0282502 0.0280635i
\(379\) 15.6248 2.24650i 0.802591 0.115395i 0.271201 0.962523i \(-0.412579\pi\)
0.531389 + 0.847128i \(0.321670\pi\)
\(380\) 13.1694 + 5.27222i 0.675574 + 0.270459i
\(381\) 3.35966 6.51682i 0.172120 0.333867i
\(382\) 1.34790 6.99356i 0.0689644 0.357821i
\(383\) −11.3822 15.9840i −0.581602 0.816746i 0.414015 0.910270i \(-0.364126\pi\)
−0.995617 + 0.0935244i \(0.970187\pi\)
\(384\) 4.53439 7.05565i 0.231395 0.360057i
\(385\) −2.89507 1.77782i −0.147546 0.0906063i
\(386\) 4.77513 + 5.51079i 0.243048 + 0.280492i
\(387\) 3.41981 + 3.58660i 0.173839 + 0.182317i
\(388\) −16.8913 + 23.7206i −0.857528 + 1.20423i
\(389\) 10.0933 + 25.2118i 0.511751 + 1.27829i 0.929195 + 0.369589i \(0.120501\pi\)
−0.417445 + 0.908702i \(0.637074\pi\)
\(390\) 0.734835 1.27277i 0.0372098 0.0644493i
\(391\) 32.6835 + 3.00139i 1.65287 + 0.151787i
\(392\) 0.815044 7.97633i 0.0411659 0.402865i
\(393\) 2.02765 14.1026i 0.102282 0.711384i
\(394\) −0.395049 0.0377226i −0.0199023 0.00190044i
\(395\) 0.868001 0.210575i 0.0436739 0.0105952i
\(396\) 1.79068 + 0.619760i 0.0899849 + 0.0311441i
\(397\) −14.5918 3.53994i −0.732343 0.177665i −0.147789 0.989019i \(-0.547216\pi\)
−0.584554 + 0.811354i \(0.698731\pi\)
\(398\) 1.43958 + 0.925162i 0.0721596 + 0.0463742i
\(399\) −14.4099 + 4.55376i −0.721399 + 0.227973i
\(400\) 7.58880 8.75795i 0.379440 0.437897i
\(401\) 7.40377 0.352685i 0.369726 0.0176122i 0.138103 0.990418i \(-0.455899\pi\)
0.231623 + 0.972806i \(0.425596\pi\)
\(402\) −0.641861 + 0.504765i −0.0320131 + 0.0251754i
\(403\) −20.4531 + 16.0845i −1.01884 + 0.801226i
\(404\) 22.0567 1.05069i 1.09736 0.0522737i
\(405\) 0.849540 0.980421i 0.0422140 0.0487175i
\(406\) −3.66171 0.809278i −0.181728 0.0401638i
\(407\) −4.23293 2.72034i −0.209818 0.134842i
\(408\) 7.61781 + 1.84806i 0.377138 + 0.0914926i
\(409\) 27.0539 + 9.36346i 1.33773 + 0.462993i 0.899913 0.436070i \(-0.143630\pi\)
0.437819 + 0.899063i \(0.355751\pi\)
\(410\) −2.47829 + 0.601225i −0.122394 + 0.0296924i
\(411\) 13.6412 + 1.30257i 0.672869 + 0.0642512i
\(412\) −4.05085 + 28.1742i −0.199571 + 1.38805i
\(413\) −6.05558 + 18.7292i −0.297976 + 0.921605i
\(414\) −0.463790 1.32448i −0.0227940 0.0650947i
\(415\) −5.93492 + 10.2796i −0.291334 + 0.504604i
\(416\) 4.76727 + 11.9081i 0.233735 + 0.583841i
\(417\) 8.97277 12.6005i 0.439398 0.617049i
\(418\) 1.14166 + 1.19734i 0.0558405 + 0.0585638i
\(419\) −11.0644 12.7691i −0.540534 0.623809i 0.418118 0.908393i \(-0.362690\pi\)
−0.958651 + 0.284584i \(0.908145\pi\)
\(420\) 0.178141 6.56828i 0.00869239 0.320499i
\(421\) −13.6493 + 21.2387i −0.665227 + 1.03511i 0.330593 + 0.943773i \(0.392751\pi\)
−0.995820 + 0.0913394i \(0.970885\pi\)
\(422\) 0.946822 + 1.32963i 0.0460906 + 0.0647252i
\(423\) −0.254097 + 1.31838i −0.0123546 + 0.0641019i
\(424\) 6.48216 12.5736i 0.314801 0.610630i
\(425\) 21.0747 + 8.43702i 1.02227 + 0.409256i
\(426\) −2.17710 + 0.313019i −0.105481 + 0.0151658i
\(427\) 12.2065 + 12.2877i 0.590714 + 0.594643i
\(428\) 9.94375 + 8.61631i 0.480649 + 0.416485i
\(429\) −3.12160 + 2.22288i −0.150712 + 0.107322i
\(430\) −1.87907 0.0895113i −0.0906170 0.00431662i
\(431\) −19.6959 + 20.6565i −0.948720 + 0.994989i −0.999993 0.00369608i \(-0.998823\pi\)
0.0512735 + 0.998685i \(0.483672\pi\)
\(432\) 0.661166 + 3.43045i 0.0318104 + 0.165048i
\(433\) −7.82111 2.29649i −0.375859 0.110362i 0.0883464 0.996090i \(-0.471842\pi\)
−0.464205 + 0.885728i \(0.653660\pi\)
\(434\) 2.06407 4.77624i 0.0990785 0.229267i
\(435\) −6.21992 0.894290i −0.298222 0.0428779i
\(436\) −21.4476 12.3828i −1.02715 0.593027i
\(437\) −3.80019 + 27.1286i −0.181788 + 1.29774i
\(438\) −1.74404 3.02077i −0.0833334 0.144338i
\(439\) −6.63160 + 8.43276i −0.316509 + 0.402474i −0.918112 0.396321i \(-0.870287\pi\)
0.601603 + 0.798795i \(0.294529\pi\)
\(440\) −1.33789 + 0.610992i −0.0637812 + 0.0291279i
\(441\) 4.29054 + 5.53094i 0.204311 + 0.263378i
\(442\) −5.85937 + 5.07717i −0.278702 + 0.241496i
\(443\) −1.58213 + 6.52162i −0.0751692 + 0.309852i −0.996968 0.0778180i \(-0.975205\pi\)
0.921798 + 0.387670i \(0.126720\pi\)
\(444\) 0.463047 9.72055i 0.0219752 0.461317i
\(445\) −1.16181 + 0.110939i −0.0550751 + 0.00525903i
\(446\) 1.37969 0.477514i 0.0653300 0.0226109i
\(447\) 5.26264 3.38210i 0.248914 0.159968i
\(448\) 12.2436 + 10.1776i 0.578456 + 0.480847i
\(449\) 0.443774 + 3.08651i 0.0209430 + 0.145662i 0.997610 0.0690983i \(-0.0220122\pi\)
−0.976667 + 0.214760i \(0.931103\pi\)
\(450\) −0.0461841 0.969524i −0.00217714 0.0457038i
\(451\) 6.52942 + 1.25844i 0.307458 + 0.0592577i
\(452\) −2.95518 30.9480i −0.139000 1.45567i
\(453\) −8.85027 17.1671i −0.415822 0.806582i
\(454\) −0.939282 + 0.275798i −0.0440827 + 0.0129438i
\(455\) 10.6114 + 7.99863i 0.497471 + 0.374982i
\(456\) −1.84323 + 6.27747i −0.0863173 + 0.293970i
\(457\) 1.03380 10.8265i 0.0483593 0.506442i −0.938548 0.345150i \(-0.887828\pi\)
0.986907 0.161291i \(-0.0515659\pi\)
\(458\) −1.29783 + 0.519574i −0.0606437 + 0.0242781i
\(459\) −5.92677 + 3.42182i −0.276638 + 0.159717i
\(460\) −10.6061 5.41925i −0.494511 0.252674i
\(461\) 10.5408i 0.490935i 0.969405 + 0.245467i \(0.0789414\pi\)
−0.969405 + 0.245467i \(0.921059\pi\)
\(462\) 0.337118 0.688174i 0.0156842 0.0320168i
\(463\) 0.406266 + 0.889598i 0.0188808 + 0.0413431i 0.918837 0.394636i \(-0.129129\pi\)
−0.899957 + 0.435979i \(0.856402\pi\)
\(464\) 12.2474 11.6779i 0.568571 0.542131i
\(465\) 2.85163 8.23924i 0.132241 0.382086i
\(466\) 0.717220 + 0.683868i 0.0332246 + 0.0316796i
\(467\) 5.84433 3.01296i 0.270443 0.139423i −0.317671 0.948201i \(-0.602901\pi\)
0.588114 + 0.808778i \(0.299870\pi\)
\(468\) −6.74187 3.07891i −0.311643 0.142323i
\(469\) −3.82176 6.31701i −0.176472 0.291693i
\(470\) −0.275551 0.428766i −0.0127102 0.0197775i
\(471\) 2.49010 6.21996i 0.114738 0.286601i
\(472\) 5.26771 + 6.69843i 0.242466 + 0.308320i
\(473\) 4.35996 + 2.24772i 0.200471 + 0.103350i
\(474\) 0.0658930 + 0.190385i 0.00302656 + 0.00874468i
\(475\) −7.87078 + 17.2346i −0.361136 + 0.790778i
\(476\) −12.2210 + 32.4370i −0.560149 + 1.48675i
\(477\) 3.47949 + 11.8501i 0.159315 + 0.542577i
\(478\) 1.69090 0.325894i 0.0773399 0.0149060i
\(479\) −3.91748 16.1481i −0.178994 0.737825i −0.988564 0.150801i \(-0.951815\pi\)
0.809570 0.587024i \(-0.199701\pi\)
\(480\) −3.50107 2.49310i −0.159801 0.113794i
\(481\) 15.4702 + 12.1659i 0.705379 + 0.554716i
\(482\) −3.34278 −0.152259
\(483\) 12.3978 2.70099i 0.564118 0.122899i
\(484\) −19.1825 −0.871933
\(485\) 15.5115 + 12.1984i 0.704339 + 0.553899i
\(486\) 0.238358 + 0.169734i 0.0108121 + 0.00769928i
\(487\) 4.98421 + 20.5452i 0.225856 + 0.930992i 0.966000 + 0.258543i \(0.0832423\pi\)
−0.740144 + 0.672449i \(0.765243\pi\)
\(488\) 7.36278 1.41906i 0.333297 0.0642378i
\(489\) 2.69186 + 9.16764i 0.121730 + 0.414575i
\(490\) −2.62763 0.395593i −0.118704 0.0178711i
\(491\) −4.24520 + 9.29569i −0.191583 + 0.419509i −0.980909 0.194465i \(-0.937703\pi\)
0.789326 + 0.613974i \(0.210430\pi\)
\(492\) 4.20631 + 12.1533i 0.189635 + 0.547915i
\(493\) 29.4647 + 15.1901i 1.32702 + 0.684128i
\(494\) −4.00007 5.08651i −0.179972 0.228853i
\(495\) 0.477245 1.19210i 0.0214506 0.0535809i
\(496\) 12.6941 + 19.7523i 0.569980 + 0.886906i
\(497\) −0.407361 19.8829i −0.0182727 0.891872i
\(498\) −2.43542 1.11222i −0.109134 0.0498397i
\(499\) 31.0064 15.9849i 1.38804 0.715582i 0.407737 0.913100i \(-0.366318\pi\)
0.980299 + 0.197517i \(0.0632878\pi\)
\(500\) −14.9489 14.2538i −0.668537 0.637449i
\(501\) −3.14171 + 9.07739i −0.140361 + 0.405548i
\(502\) 1.21352 1.15709i 0.0541620 0.0516434i
\(503\) −14.2905 31.2918i −0.637181 1.39523i −0.902339 0.431027i \(-0.858151\pi\)
0.265158 0.964205i \(-0.414576\pi\)
\(504\) 3.02345 0.206170i 0.134675 0.00918354i
\(505\) 14.9637i 0.665877i
\(506\) −0.862609 1.08875i −0.0383477 0.0484010i
\(507\) 1.72258 0.994531i 0.0765024 0.0441687i
\(508\) 13.0305 5.21664i 0.578136 0.231451i
\(509\) −1.98739 + 20.8129i −0.0880893 + 0.922513i 0.838116 + 0.545493i \(0.183657\pi\)
−0.926205 + 0.377021i \(0.876949\pi\)
\(510\) 0.731909 2.49265i 0.0324095 0.110377i
\(511\) 29.0328 12.3189i 1.28434 0.544954i
\(512\) 18.7847 5.51569i 0.830175 0.243761i
\(513\) −2.61736 5.07696i −0.115559 0.224153i
\(514\) −0.453235 4.74649i −0.0199913 0.209359i
\(515\) 18.9401 + 3.65041i 0.834602 + 0.160856i
\(516\) 0.451411 + 9.47629i 0.0198723 + 0.417171i
\(517\) 0.189134 + 1.31545i 0.00831809 + 0.0578536i
\(518\) −3.87885 0.665490i −0.170427 0.0292399i
\(519\) −15.4499 + 9.92903i −0.678174 + 0.435836i
\(520\) 5.43644 1.88157i 0.238404 0.0825123i
\(521\) 25.7190 2.45587i 1.12677 0.107594i 0.485017 0.874505i \(-0.338813\pi\)
0.641753 + 0.766911i \(0.278207\pi\)
\(522\) 0.0674424 1.41579i 0.00295187 0.0619674i
\(523\) −10.4426 + 43.0451i −0.456624 + 1.88223i 0.0140077 + 0.999902i \(0.495541\pi\)
−0.470632 + 0.882330i \(0.655974\pi\)
\(524\) 20.6133 17.8616i 0.900498 0.780286i
\(525\) 8.75162 + 0.655094i 0.381952 + 0.0285906i
\(526\) 6.13542 2.80195i 0.267517 0.122171i
\(527\) −28.4320 + 36.1543i −1.23852 + 1.57490i
\(528\) 1.72902 + 2.99475i 0.0752459 + 0.130330i
\(529\) 5.26029 22.3904i 0.228708 0.973495i
\(530\) −4.06015 2.34413i −0.176362 0.101823i
\(531\) −7.36407 1.05879i −0.319573 0.0459477i
\(532\) −26.5569 11.4767i −1.15139 0.497577i
\(533\) −24.9555 7.32758i −1.08094 0.317393i
\(534\) −0.0498205 0.258493i −0.00215594 0.0111861i
\(535\) 6.15288 6.45296i 0.266012 0.278986i
\(536\) −3.19271 0.152087i −0.137904 0.00656918i
\(537\) −8.76235 + 6.23964i −0.378123 + 0.269260i
\(538\) 1.76084 + 1.52578i 0.0759154 + 0.0657811i
\(539\) 5.80389 + 3.78454i 0.249991 + 0.163011i
\(540\) 2.45821 0.353437i 0.105784 0.0152095i
\(541\) 23.8415 + 9.54470i 1.02503 + 0.410359i 0.822408 0.568899i \(-0.192630\pi\)
0.202619 + 0.979258i \(0.435055\pi\)
\(542\) −2.75315 + 5.34036i −0.118258 + 0.229388i
\(543\) 1.13294 5.87826i 0.0486192 0.252260i
\(544\) 13.1520 + 18.4694i 0.563888 + 0.791870i
\(545\) −9.07327 + 14.1183i −0.388656 + 0.604761i
\(546\) −1.56849 + 2.55418i −0.0671251 + 0.109309i
\(547\) −24.0635 27.7707i −1.02888 1.18739i −0.982076 0.188486i \(-0.939642\pi\)
−0.0468032 0.998904i \(-0.514903\pi\)
\(548\) 18.1029 + 18.9858i 0.773319 + 0.811033i
\(549\) −3.79728 + 5.33253i −0.162064 + 0.227587i
\(550\) −0.357073 0.891926i −0.0152257 0.0380319i
\(551\) −13.8339 + 23.9611i −0.589346 + 1.02078i
\(552\) 2.02311 5.10706i 0.0861095 0.217371i
\(553\) −1.78124 + 0.381306i −0.0757461 + 0.0162148i
\(554\) −0.753168 + 5.23840i −0.0319991 + 0.222558i
\(555\) −6.56477 0.626860i −0.278659 0.0266087i
\(556\) 28.7783 6.98154i 1.22047 0.296083i
\(557\) −38.1847 13.2158i −1.61794 0.559974i −0.639910 0.768450i \(-0.721028\pi\)
−0.978027 + 0.208476i \(0.933150\pi\)
\(558\) 1.91117 + 0.463646i 0.0809064 + 0.0196277i
\(559\) −16.1405 10.3729i −0.682671 0.438726i
\(560\) 8.09524 8.84597i 0.342086 0.373811i
\(561\) −4.43603 + 5.11945i −0.187289 + 0.216143i
\(562\) 5.09857 0.242875i 0.215070 0.0102451i
\(563\) −4.30900 + 3.38864i −0.181603 + 0.142814i −0.704822 0.709384i \(-0.748973\pi\)
0.523219 + 0.852198i \(0.324731\pi\)
\(564\) −2.02041 + 1.58887i −0.0850747 + 0.0669035i
\(565\) −21.0436 + 1.00243i −0.885310 + 0.0421725i
\(566\) −2.99455 + 3.45589i −0.125870 + 0.145262i
\(567\) −1.78617 + 1.95182i −0.0750122 + 0.0819686i
\(568\) −7.24286 4.65470i −0.303904 0.195307i
\(569\) −6.98205 1.69383i −0.292703 0.0710089i 0.0867188 0.996233i \(-0.472362\pi\)
−0.379422 + 0.925224i \(0.623877\pi\)
\(570\) 2.04903 + 0.709175i 0.0858243 + 0.0297041i
\(571\) 37.3253 9.05503i 1.56202 0.378941i 0.640712 0.767781i \(-0.278639\pi\)
0.921305 + 0.388840i \(0.127124\pi\)
\(572\) −7.30300 0.697352i −0.305354 0.0291578i
\(573\) −3.46394 + 24.0922i −0.144708 + 1.00647i
\(574\) 5.08574 1.08869i 0.212275 0.0454411i
\(575\) 7.90404 13.8055i 0.329621 0.575729i
\(576\) −3.00885 + 5.21149i −0.125369 + 0.217145i
\(577\) −8.74537 21.8449i −0.364075 0.909415i −0.991425 0.130677i \(-0.958285\pi\)
0.627350 0.778737i \(-0.284139\pi\)
\(578\) −5.06409 + 7.11152i −0.210639 + 0.295800i
\(579\) −17.1964 18.0350i −0.714657 0.749511i
\(580\) −7.87779 9.09145i −0.327107 0.377502i
\(581\) 12.6679 20.6289i 0.525554 0.855830i
\(582\) −2.40643 + 3.74448i −0.0997497 + 0.155214i
\(583\) 7.09100 + 9.95792i 0.293679 + 0.412415i
\(584\) 2.58397 13.4069i 0.106925 0.554782i
\(585\) −2.30145 + 4.46420i −0.0951534 + 0.184572i
\(586\) −8.17351 3.27218i −0.337644 0.135172i
\(587\) 13.0223 1.87233i 0.537489 0.0772792i 0.131776 0.991280i \(-0.457932\pi\)
0.405713 + 0.914000i \(0.367023\pi\)
\(588\) −0.726354 + 13.3809i −0.0299543 + 0.551820i
\(589\) −29.0122 25.1392i −1.19543 1.03584i
\(590\) 2.30052 1.63819i 0.0947107 0.0674432i
\(591\) 1.35467 + 0.0645307i 0.0557235 + 0.00265444i
\(592\) 12.2554 12.8531i 0.503693 0.528258i
\(593\) −7.15285 37.1125i −0.293733 1.52403i −0.766154 0.642657i \(-0.777832\pi\)
0.472422 0.881373i \(-0.343380\pi\)
\(594\) 0.277906 + 0.0816005i 0.0114026 + 0.00334811i
\(595\) 21.5621 + 9.31812i 0.883959 + 0.382006i
\(596\) 11.8539 + 1.70433i 0.485554 + 0.0698122i
\(597\) −5.06456 2.92402i −0.207279 0.119672i
\(598\) 2.95391 + 4.55995i 0.120794 + 0.186470i
\(599\) −4.57381 7.92207i −0.186881 0.323687i 0.757328 0.653035i \(-0.226504\pi\)
−0.944209 + 0.329348i \(0.893171\pi\)
\(600\) 2.34862 2.98652i 0.0958822 0.121924i
\(601\) −27.4046 + 12.5152i −1.11786 + 0.510508i −0.886670 0.462402i \(-0.846988\pi\)
−0.231185 + 0.972910i \(0.574260\pi\)
\(602\) 3.82593 + 0.286386i 0.155933 + 0.0116722i
\(603\) 2.10896 1.82743i 0.0858836 0.0744186i
\(604\) 8.71709 35.9323i 0.354693 1.46207i
\(605\) −0.618522 + 12.9844i −0.0251465 + 0.527890i
\(606\) 3.35994 0.320836i 0.136488 0.0130331i
\(607\) −11.6315 + 4.02569i −0.472106 + 0.163398i −0.552753 0.833345i \(-0.686423\pi\)
0.0806466 + 0.996743i \(0.474301\pi\)
\(608\) −15.9200 + 10.2312i −0.645642 + 0.414929i
\(609\) 12.6311 + 2.16711i 0.511840 + 0.0878157i
\(610\) −0.353659 2.45975i −0.0143192 0.0995924i
\(611\) −0.247338 5.19225i −0.0100062 0.210056i
\(612\) −12.8646 2.47944i −0.520019 0.100225i
\(613\) −0.974468 10.2051i −0.0393584 0.412180i −0.993584 0.113093i \(-0.963924\pi\)
0.954226 0.299087i \(-0.0966819\pi\)
\(614\) −3.29130 6.38423i −0.132826 0.257647i
\(615\) 8.36206 2.45532i 0.337191 0.0990081i
\(616\) 2.76134 1.17166i 0.111257 0.0472074i
\(617\) −5.54958 + 18.9001i −0.223418 + 0.760891i 0.769136 + 0.639085i \(0.220687\pi\)
−0.992554 + 0.121806i \(0.961131\pi\)
\(618\) −0.413567 + 4.33107i −0.0166361 + 0.174221i
\(619\) 4.06545 1.62756i 0.163404 0.0654171i −0.288518 0.957474i \(-0.593163\pi\)
0.451922 + 0.892057i \(0.350738\pi\)
\(620\) 14.4548 8.34550i 0.580520 0.335163i
\(621\) 1.79856 + 4.44581i 0.0721736 + 0.178404i
\(622\) 1.70131i 0.0682163i
\(623\) 2.37472 0.161933i 0.0951413 0.00648772i
\(624\) −5.61877 12.3034i −0.224931 0.492529i
\(625\) 1.87313 1.78602i 0.0749250 0.0714409i
\(626\) −0.389121 + 1.12429i −0.0155524 + 0.0449358i
\(627\) −4.09185 3.90157i −0.163413 0.155814i
\(628\) 11.4003 5.87726i 0.454921 0.234528i
\(629\) 31.6453 + 14.4519i 1.26178 + 0.576236i
\(630\) −0.0205726 1.00413i −0.000819634 0.0400056i
\(631\) 1.07846 + 1.67811i 0.0429327 + 0.0668046i 0.862057 0.506812i \(-0.169176\pi\)
−0.819124 + 0.573617i \(0.805540\pi\)
\(632\) −0.293098 + 0.732123i −0.0116588 + 0.0291223i
\(633\) −3.44826 4.38482i −0.137056 0.174281i
\(634\) 5.26594 + 2.71478i 0.209137 + 0.107818i
\(635\) −3.11091 8.98838i −0.123453 0.356693i
\(636\) −9.82174 + 21.5066i −0.389457 + 0.852793i
\(637\) −21.1913 16.8936i −0.839629 0.669348i
\(638\) −0.395263 1.34614i −0.0156486 0.0532943i
\(639\) 7.38079 1.42253i 0.291979 0.0562744i
\(640\) −2.56515 10.5737i −0.101397 0.417962i
\(641\) 3.49116 + 2.48604i 0.137892 + 0.0981928i 0.646922 0.762557i \(-0.276056\pi\)
−0.509029 + 0.860749i \(0.669995\pi\)
\(642\) 1.58086 + 1.24321i 0.0623918 + 0.0490654i
\(643\) −9.70885 −0.382880 −0.191440 0.981504i \(-0.561316\pi\)
−0.191440 + 0.981504i \(0.561316\pi\)
\(644\) 21.3230 + 11.6347i 0.840246 + 0.458471i
\(645\) 6.42892 0.253139
\(646\) −8.99125 7.07080i −0.353756 0.278197i
\(647\) 37.9199 + 27.0026i 1.49078 + 1.06158i 0.979329 + 0.202272i \(0.0648324\pi\)
0.511454 + 0.859310i \(0.329107\pi\)
\(648\) 0.270040 + 1.11312i 0.0106082 + 0.0437275i
\(649\) −7.23101 + 1.39366i −0.283842 + 0.0547060i
\(650\) 1.05871 + 3.60562i 0.0415258 + 0.141424i
\(651\) −6.26920 + 16.6397i −0.245709 + 0.652162i
\(652\) −7.59845 + 16.6383i −0.297578 + 0.651606i
\(653\) −2.58312 7.46343i −0.101085 0.292067i 0.883107 0.469172i \(-0.155448\pi\)
−0.984192 + 0.177106i \(0.943327\pi\)
\(654\) −3.36465 1.73460i −0.131568 0.0678281i
\(655\) −11.4256 14.5288i −0.446434 0.567687i
\(656\) −8.72282 + 21.7885i −0.340569 + 0.850700i
\(657\) 6.44462 + 10.0280i 0.251429 + 0.391230i
\(658\) 0.538060 + 0.889364i 0.0209758 + 0.0346710i
\(659\) −5.01986 2.29249i −0.195546 0.0893028i 0.315235 0.949014i \(-0.397917\pi\)
−0.510781 + 0.859711i \(0.670644\pi\)
\(660\) 2.18495 1.12642i 0.0850490 0.0438458i
\(661\) −25.9092 24.7044i −1.00775 0.960889i −0.00851536 0.999964i \(-0.502711\pi\)
−0.999236 + 0.0390745i \(0.987559\pi\)
\(662\) 0.849993 2.45589i 0.0330359 0.0954510i
\(663\) 19.1758 18.2841i 0.744727 0.710096i
\(664\) −4.35364 9.53314i −0.168954 0.369957i
\(665\) −8.62470 + 17.6060i −0.334451 + 0.682730i
\(666\) 1.48749i 0.0576390i
\(667\) 13.4063 18.9717i 0.519094 0.734585i
\(668\) −15.9253 + 9.19445i −0.616167 + 0.355744i
\(669\) −4.63202 + 1.85438i −0.179084 + 0.0716945i
\(670\) −0.100694 + 1.05452i −0.00389015 + 0.0407395i
\(671\) −1.82556 + 6.21729i −0.0704750 + 0.240016i
\(672\) 6.99980 + 5.27628i 0.270023 + 0.203537i
\(673\) 30.6463 8.99858i 1.18133 0.346870i 0.368643 0.929571i \(-0.379822\pi\)
0.812686 + 0.582701i \(0.198004\pi\)
\(674\) −0.838468 1.62640i −0.0322966 0.0626466i
\(675\) 0.315306 + 3.30204i 0.0121361 + 0.127095i
\(676\) 3.73900 + 0.720633i 0.143808 + 0.0277167i
\(677\) −1.49736 31.4335i −0.0575483 1.20809i −0.824304 0.566148i \(-0.808433\pi\)
0.766755 0.641939i \(-0.221870\pi\)
\(678\) −0.676278 4.70361i −0.0259723 0.180641i
\(679\) −30.9488 25.7265i −1.18771 0.987293i
\(680\) 8.55480 5.49783i 0.328061 0.210832i
\(681\) 3.16146 1.09419i 0.121148 0.0419296i
\(682\) 1.93778 0.185036i 0.0742015 0.00708539i
\(683\) −0.561815 + 11.7939i −0.0214973 + 0.451283i 0.962299 + 0.271993i \(0.0876829\pi\)
−0.983796 + 0.179289i \(0.942620\pi\)
\(684\) 2.57797 10.6265i 0.0985712 0.406316i
\(685\) 13.4349 11.6414i 0.513322 0.444796i
\(686\) 5.33509 + 0.951787i 0.203695 + 0.0363394i
\(687\) 4.34577 1.98465i 0.165801 0.0757189i
\(688\) −10.7023 + 13.6090i −0.408020 + 0.518839i
\(689\) −23.9076 41.4092i −0.910808 1.57757i
\(690\) −1.65874 0.750266i −0.0631471 0.0285622i
\(691\) −2.13070 1.23016i −0.0810555 0.0467974i 0.458924 0.888475i \(-0.348235\pi\)
−0.539980 + 0.841678i \(0.681568\pi\)
\(692\) −34.8002 5.00352i −1.32291 0.190205i
\(693\) −1.03888 + 2.40395i −0.0394637 + 0.0913187i
\(694\) −9.55142 2.80455i −0.362567 0.106459i
\(695\) −3.79778 19.7047i −0.144058 0.747443i
\(696\) 3.82871 4.01543i 0.145127 0.152205i
\(697\) −45.9232 2.18759i −1.73946 0.0828609i
\(698\) 2.27696 1.62142i 0.0861843 0.0613715i
\(699\) −2.55949 2.21781i −0.0968088 0.0838853i
\(700\) 11.8405 + 11.9192i 0.447528 + 0.450505i
\(701\) −16.0683 + 2.31028i −0.606892 + 0.0872579i −0.438908 0.898532i \(-0.644635\pi\)
−0.167984 + 0.985790i \(0.553726\pi\)
\(702\) −1.05173 0.421050i −0.0396951 0.0158915i
\(703\) −13.3051 + 25.8083i −0.501812 + 0.973380i
\(704\) −1.12727 + 5.84883i −0.0424856 + 0.220436i
\(705\) 1.01034 + 1.41882i 0.0380515 + 0.0534359i
\(706\) 4.58328 7.13172i 0.172494 0.268406i
\(707\) −0.827383 + 30.5066i −0.0311170 + 1.14732i
\(708\) −9.32689 10.7638i −0.350526 0.404529i
\(709\) −9.63003 10.0997i −0.361663 0.379302i 0.517612 0.855616i \(-0.326821\pi\)
−0.879275 + 0.476314i \(0.841973\pi\)
\(710\) −1.65511 + 2.32427i −0.0621151 + 0.0872284i
\(711\) −0.255889 0.639180i −0.00959659 0.0239711i
\(712\) 0.515231 0.892406i 0.0193091 0.0334443i
\(713\) 22.3269 + 23.2465i 0.836148 + 0.870587i
\(714\) −1.62997 + 5.04132i −0.0610002 + 0.188667i
\(715\) −0.707506 + 4.92081i −0.0264592 + 0.184028i
\(716\) −20.4996 1.95747i −0.766105 0.0731542i
\(717\) −5.71902 + 1.38742i −0.213581 + 0.0518141i
\(718\) −2.95994 1.02445i −0.110464 0.0382320i
\(719\) −29.6344 7.18922i −1.10518 0.268113i −0.358652 0.933471i \(-0.616763\pi\)
−0.746524 + 0.665359i \(0.768279\pi\)
\(720\) 3.81271 + 2.45028i 0.142091 + 0.0913164i
\(721\) −38.4115 8.48936i −1.43052 0.316160i
\(722\) 2.61107 3.01334i 0.0971740 0.112145i
\(723\) 11.4108 0.543565i 0.424373 0.0202154i
\(724\) 9.00841 7.08429i 0.334795 0.263286i
\(725\) 12.6298 9.93222i 0.469060 0.368873i
\(726\) −2.92876 + 0.139514i −0.108697 + 0.00517786i
\(727\) −13.0118 + 15.0165i −0.482583 + 0.556930i −0.943868 0.330322i \(-0.892843\pi\)
0.461286 + 0.887252i \(0.347388\pi\)
\(728\) −11.1873 + 3.53537i −0.414630 + 0.131030i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −4.39747 1.06682i −0.162758 0.0394846i
\(731\) −32.0496 11.0925i −1.18540 0.410271i
\(732\) −12.1790 + 2.95459i −0.450148 + 0.109205i
\(733\) −0.323799 0.0309190i −0.0119598 0.00114202i 0.0890744 0.996025i \(-0.471609\pi\)
−0.101034 + 0.994883i \(0.532215\pi\)
\(734\) −0.594841 + 4.13721i −0.0219560 + 0.152707i
\(735\) 9.03394 + 0.923114i 0.333222 + 0.0340496i
\(736\) 14.0963 7.33192i 0.519595 0.270258i
\(737\) 1.38108 2.39210i 0.0508728 0.0881142i
\(738\) 0.730606 + 1.82496i 0.0268940 + 0.0671779i
\(739\) 16.2182 22.7753i 0.596596 0.837802i −0.400312 0.916379i \(-0.631098\pi\)
0.996908 + 0.0785770i \(0.0250377\pi\)
\(740\) −8.71198 9.13686i −0.320259 0.335878i
\(741\) 14.4817 + 16.7127i 0.531998 + 0.613958i
\(742\) 8.14784 + 5.00349i 0.299117 + 0.183684i
\(743\) 10.1937 15.8617i 0.373971 0.581910i −0.602351 0.798231i \(-0.705769\pi\)
0.976322 + 0.216321i \(0.0694058\pi\)
\(744\) 4.46531 + 6.27065i 0.163706 + 0.229893i
\(745\) 1.53586 7.96878i 0.0562694 0.291953i
\(746\) −0.803063 + 1.55773i −0.0294022 + 0.0570324i
\(747\) 8.49434 + 3.40062i 0.310792 + 0.124422i
\(748\) −12.8360 + 1.84554i −0.469331 + 0.0674795i
\(749\) −12.9007 + 12.8155i −0.471382 + 0.468267i
\(750\) −2.38605 2.06753i −0.0871264 0.0754954i
\(751\) −34.4237 + 24.5130i −1.25614 + 0.894491i −0.997443 0.0714680i \(-0.977232\pi\)
−0.258694 + 0.965959i \(0.583292\pi\)
\(752\) −4.68533 0.223190i −0.170856 0.00813890i
\(753\) −3.95429 + 4.14714i −0.144102 + 0.151130i
\(754\) 1.03853 + 5.38838i 0.0378209 + 0.196233i
\(755\) −24.0410 7.05908i −0.874942 0.256906i
\(756\) −5.03111 + 0.584634i −0.182980 + 0.0212629i
\(757\) −19.0276 2.73576i −0.691570 0.0994328i −0.212437 0.977175i \(-0.568140\pi\)
−0.479134 + 0.877742i \(0.659049\pi\)
\(758\) 4.00023 + 2.30954i 0.145295 + 0.0838861i
\(759\) 3.12163 + 3.57627i 0.113308 + 0.129811i
\(760\) 4.24373 + 7.35036i 0.153936 + 0.266626i
\(761\) 25.4526 32.3656i 0.922655 1.17325i −0.0618830 0.998083i \(-0.519711\pi\)
0.984538 0.175168i \(-0.0560470\pi\)
\(762\) 1.95154 0.891240i 0.0706970 0.0322862i
\(763\) 19.2784 28.2813i 0.697924 1.02385i
\(764\) −35.2148 + 30.5138i −1.27403 + 1.10395i
\(765\) −2.09310 + 8.62789i −0.0756763 + 0.311942i
\(766\) 0.273209 5.73536i 0.00987143 0.207227i
\(767\) 28.6733 2.73796i 1.03533 0.0988622i
\(768\) −9.05427 + 3.13371i −0.326718 + 0.113078i
\(769\) −33.4226 + 21.4794i −1.20525 + 0.774567i −0.979857 0.199701i \(-0.936003\pi\)
−0.225393 + 0.974268i \(0.572366\pi\)
\(770\) −0.344321 0.932589i −0.0124085 0.0336082i
\(771\) 2.31897 + 16.1288i 0.0835158 + 0.580865i
\(772\) −2.26990 47.6511i −0.0816956 1.71500i