Properties

Label 384.2.v.a.13.14
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.14
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.283082 + 1.38559i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.83973 - 0.784471i) q^{4} +(-0.166665 - 1.69218i) q^{5} +(-1.40810 + 0.131324i) q^{6} +(1.76235 - 2.63755i) q^{7} +(1.60775 - 2.32704i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.283082 + 1.38559i) q^{2} +(0.290285 + 0.956940i) q^{3} +(-1.83973 - 0.784471i) q^{4} +(-0.166665 - 1.69218i) q^{5} +(-1.40810 + 0.131324i) q^{6} +(1.76235 - 2.63755i) q^{7} +(1.60775 - 2.32704i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(2.39185 + 0.248095i) q^{10} +(0.658421 - 0.351933i) q^{11} +(0.216647 - 1.98823i) q^{12} +(5.74062 + 0.565402i) q^{13} +(3.15567 + 3.18854i) q^{14} +(1.57094 - 0.650703i) q^{15} +(2.76921 + 2.88643i) q^{16} +(-1.29313 - 0.535633i) q^{17} +(-0.534420 - 1.30935i) q^{18} +(-1.14115 + 0.936520i) q^{19} +(-1.02085 + 3.24390i) q^{20} +(3.03556 + 0.920827i) q^{21} +(0.301249 + 1.01193i) q^{22} +(0.925835 - 4.65449i) q^{23} +(2.69355 + 0.863016i) q^{24} +(2.06822 - 0.411395i) q^{25} +(-2.40848 + 7.79410i) q^{26} +(-0.773010 - 0.634393i) q^{27} +(-5.31133 + 3.46986i) q^{28} +(-1.32002 + 2.46958i) q^{29} +(0.456906 + 2.36088i) q^{30} +(-4.43521 + 4.43521i) q^{31} +(-4.78333 + 3.01990i) q^{32} +(0.527909 + 0.527909i) q^{33} +(1.10823 - 1.64012i) q^{34} +(-4.75693 - 2.54263i) q^{35} +(1.96551 - 0.369835i) q^{36} +(7.07753 - 8.62400i) q^{37} +(-0.974595 - 1.84628i) q^{38} +(1.12536 + 5.65756i) q^{39} +(-4.20574 - 2.33277i) q^{40} +(-2.24024 - 0.445611i) q^{41} +(-2.13520 + 3.94538i) q^{42} +(1.80544 - 5.95173i) q^{43} +(-1.48740 + 0.130950i) q^{44} +(1.07870 + 1.31440i) q^{45} +(6.18713 + 2.60043i) q^{46} +(-3.08023 + 7.43634i) q^{47} +(-1.95828 + 3.48785i) q^{48} +(-1.17198 - 2.82941i) q^{49} +(-0.0154502 + 2.98217i) q^{50} +(0.137192 - 1.39294i) q^{51} +(-10.1176 - 5.54354i) q^{52} +(4.90739 + 9.18107i) q^{53} +(1.09784 - 0.891492i) q^{54} +(-0.705271 - 1.05551i) q^{55} +(-3.30427 - 8.34159i) q^{56} +(-1.22745 - 0.820158i) q^{57} +(-3.04816 - 2.52810i) q^{58} +(-2.27056 + 0.223631i) q^{59} +(-3.40056 - 0.0352365i) q^{60} +(9.80077 - 2.97303i) q^{61} +(-4.88986 - 7.40091i) q^{62} +3.17215i q^{63} +(-2.83028 - 7.48262i) q^{64} -9.80840i q^{65} +(-0.880907 + 0.582025i) q^{66} +(-5.79154 + 1.75684i) q^{67} +(1.95882 + 1.99984i) q^{68} +(4.72282 - 0.465157i) q^{69} +(4.86965 - 5.87139i) q^{70} +(-7.56079 - 5.05196i) q^{71} +(-0.0439588 + 2.82809i) q^{72} +(-1.08352 - 1.62161i) q^{73} +(9.94582 + 12.2479i) q^{74} +(0.994055 + 1.85975i) q^{75} +(2.83409 - 0.827742i) q^{76} +(0.232129 - 2.35685i) q^{77} +(-8.15763 - 0.0422635i) q^{78} +(3.37251 + 8.14197i) q^{79} +(4.42283 - 5.16707i) q^{80} +(0.382683 - 0.923880i) q^{81} +(1.25161 - 2.97791i) q^{82} +(10.5661 + 12.8749i) q^{83} +(-4.86224 - 4.07538i) q^{84} +(-0.690867 + 2.27748i) q^{85} +(7.73558 + 4.18643i) q^{86} +(-2.74642 - 0.546298i) q^{87} +(0.239612 - 2.09800i) q^{88} +(-2.08960 - 10.5051i) q^{89} +(-2.12659 + 1.12256i) q^{90} +(11.6083 - 14.1447i) q^{91} +(-5.35460 + 7.83671i) q^{92} +(-5.53170 - 2.95676i) q^{93} +(-9.43177 - 6.37303i) q^{94} +(1.77495 + 1.77495i) q^{95} +(-4.27839 - 3.70073i) q^{96} +(2.14657 - 2.14657i) q^{97} +(4.25218 - 0.822933i) q^{98} +(-0.351933 + 0.658421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.283082 + 1.38559i −0.200169 + 0.979761i
\(3\) 0.290285 + 0.956940i 0.167596 + 0.552490i
\(4\) −1.83973 0.784471i −0.919865 0.392236i
\(5\) −0.166665 1.69218i −0.0745350 0.756767i −0.957712 0.287727i \(-0.907100\pi\)
0.883177 0.469039i \(-0.155400\pi\)
\(6\) −1.40810 + 0.131324i −0.574856 + 0.0536127i
\(7\) 1.76235 2.63755i 0.666106 0.996899i −0.332447 0.943122i \(-0.607874\pi\)
0.998553 0.0537767i \(-0.0171259\pi\)
\(8\) 1.60775 2.32704i 0.568426 0.822735i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) 2.39185 + 0.248095i 0.756370 + 0.0784547i
\(11\) 0.658421 0.351933i 0.198521 0.106112i −0.369141 0.929373i \(-0.620348\pi\)
0.567662 + 0.823262i \(0.307848\pi\)
\(12\) 0.216647 1.98823i 0.0625406 0.573953i
\(13\) 5.74062 + 0.565402i 1.59216 + 0.156814i 0.854900 0.518793i \(-0.173619\pi\)
0.737262 + 0.675607i \(0.236119\pi\)
\(14\) 3.15567 + 3.18854i 0.843389 + 0.852174i
\(15\) 1.57094 0.650703i 0.405614 0.168011i
\(16\) 2.76921 + 2.88643i 0.692302 + 0.721607i
\(17\) −1.29313 0.535633i −0.313630 0.129910i 0.220315 0.975429i \(-0.429291\pi\)
−0.533946 + 0.845519i \(0.679291\pi\)
\(18\) −0.534420 1.30935i −0.125964 0.308617i
\(19\) −1.14115 + 0.936520i −0.261799 + 0.214853i −0.756131 0.654421i \(-0.772913\pi\)
0.494332 + 0.869273i \(0.335413\pi\)
\(20\) −1.02085 + 3.24390i −0.228269 + 0.725358i
\(21\) 3.03556 + 0.920827i 0.662413 + 0.200941i
\(22\) 0.301249 + 1.01193i 0.0642265 + 0.215744i
\(23\) 0.925835 4.65449i 0.193050 0.970528i −0.755800 0.654802i \(-0.772752\pi\)
0.948850 0.315726i \(-0.102248\pi\)
\(24\) 2.69355 + 0.863016i 0.549818 + 0.176162i
\(25\) 2.06822 0.411395i 0.413645 0.0822791i
\(26\) −2.40848 + 7.79410i −0.472342 + 1.52855i
\(27\) −0.773010 0.634393i −0.148766 0.122089i
\(28\) −5.31133 + 3.46986i −1.00375 + 0.655741i
\(29\) −1.32002 + 2.46958i −0.245121 + 0.458590i −0.974153 0.225890i \(-0.927471\pi\)
0.729031 + 0.684480i \(0.239971\pi\)
\(30\) 0.456906 + 2.36088i 0.0834192 + 0.431036i
\(31\) −4.43521 + 4.43521i −0.796587 + 0.796587i −0.982556 0.185969i \(-0.940458\pi\)
0.185969 + 0.982556i \(0.440458\pi\)
\(32\) −4.78333 + 3.01990i −0.845581 + 0.533848i
\(33\) 0.527909 + 0.527909i 0.0918971 + 0.0918971i
\(34\) 1.10823 1.64012i 0.190060 0.281279i
\(35\) −4.75693 2.54263i −0.804068 0.429783i
\(36\) 1.96551 0.369835i 0.327585 0.0616392i
\(37\) 7.07753 8.62400i 1.16354 1.41778i 0.273513 0.961868i \(-0.411814\pi\)
0.890027 0.455909i \(-0.150686\pi\)
\(38\) −0.974595 1.84628i −0.158100 0.299507i
\(39\) 1.12536 + 5.65756i 0.180202 + 0.905934i
\(40\) −4.20574 2.33277i −0.664986 0.368843i
\(41\) −2.24024 0.445611i −0.349866 0.0695928i 0.0170289 0.999855i \(-0.494579\pi\)
−0.366895 + 0.930262i \(0.619579\pi\)
\(42\) −2.13520 + 3.94538i −0.329469 + 0.608785i
\(43\) 1.80544 5.95173i 0.275327 0.907631i −0.704825 0.709381i \(-0.748974\pi\)
0.980152 0.198249i \(-0.0635256\pi\)
\(44\) −1.48740 + 0.130950i −0.224234 + 0.0197414i
\(45\) 1.07870 + 1.31440i 0.160804 + 0.195940i
\(46\) 6.18713 + 2.60043i 0.912243 + 0.383412i
\(47\) −3.08023 + 7.43634i −0.449298 + 1.08470i 0.523288 + 0.852156i \(0.324705\pi\)
−0.972586 + 0.232545i \(0.925295\pi\)
\(48\) −1.95828 + 3.48785i −0.282654 + 0.503428i
\(49\) −1.17198 2.82941i −0.167426 0.404202i
\(50\) −0.0154502 + 2.98217i −0.00218499 + 0.421743i
\(51\) 0.137192 1.39294i 0.0192107 0.195050i
\(52\) −10.1176 5.54354i −1.40307 0.768750i
\(53\) 4.90739 + 9.18107i 0.674081 + 1.26112i 0.953629 + 0.300985i \(0.0973155\pi\)
−0.279548 + 0.960132i \(0.590184\pi\)
\(54\) 1.09784 0.891492i 0.149396 0.121317i
\(55\) −0.705271 1.05551i −0.0950987 0.142325i
\(56\) −3.30427 8.34159i −0.441551 1.11469i
\(57\) −1.22745 0.820158i −0.162580 0.108633i
\(58\) −3.04816 2.52810i −0.400243 0.331956i
\(59\) −2.27056 + 0.223631i −0.295602 + 0.0291142i −0.244731 0.969591i \(-0.578700\pi\)
−0.0508707 + 0.998705i \(0.516200\pi\)
\(60\) −3.40056 0.0352365i −0.439010 0.00454901i
\(61\) 9.80077 2.97303i 1.25486 0.380658i 0.408249 0.912870i \(-0.366139\pi\)
0.846611 + 0.532213i \(0.178639\pi\)
\(62\) −4.88986 7.40091i −0.621013 0.939917i
\(63\) 3.17215i 0.399653i
\(64\) −2.83028 7.48262i −0.353785 0.935327i
\(65\) 9.80840i 1.21658i
\(66\) −0.880907 + 0.582025i −0.108432 + 0.0716423i
\(67\) −5.79154 + 1.75684i −0.707549 + 0.214633i −0.623493 0.781829i \(-0.714287\pi\)
−0.0840552 + 0.996461i \(0.526787\pi\)
\(68\) 1.95882 + 1.99984i 0.237542 + 0.242517i
\(69\) 4.72282 0.465157i 0.568561 0.0559984i
\(70\) 4.86965 5.87139i 0.582035 0.701766i
\(71\) −7.56079 5.05196i −0.897300 0.599557i 0.0191011 0.999818i \(-0.493920\pi\)
−0.916401 + 0.400261i \(0.868920\pi\)
\(72\) −0.0439588 + 2.82809i −0.00518060 + 0.333293i
\(73\) −1.08352 1.62161i −0.126817 0.189795i 0.762628 0.646837i \(-0.223909\pi\)
−0.889445 + 0.457042i \(0.848909\pi\)
\(74\) 9.94582 + 12.2479i 1.15618 + 1.42379i
\(75\) 0.994055 + 1.85975i 0.114784 + 0.214745i
\(76\) 2.83409 0.827742i 0.325092 0.0949485i
\(77\) 0.232129 2.35685i 0.0264536 0.268588i
\(78\) −8.15763 0.0422635i −0.923670 0.00478540i
\(79\) 3.37251 + 8.14197i 0.379438 + 0.916043i 0.992071 + 0.125676i \(0.0401101\pi\)
−0.612634 + 0.790367i \(0.709890\pi\)
\(80\) 4.42283 5.16707i 0.494488 0.577696i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) 1.25161 2.97791i 0.138217 0.328855i
\(83\) 10.5661 + 12.8749i 1.15978 + 1.41320i 0.893358 + 0.449346i \(0.148343\pi\)
0.266426 + 0.963855i \(0.414157\pi\)
\(84\) −4.86224 4.07538i −0.530514 0.444660i
\(85\) −0.690867 + 2.27748i −0.0749351 + 0.247028i
\(86\) 7.73558 + 4.18643i 0.834150 + 0.451434i
\(87\) −2.74642 0.546298i −0.294448 0.0585693i
\(88\) 0.239612 2.09800i 0.0255427 0.223647i
\(89\) −2.08960 10.5051i −0.221497 1.11354i −0.918181 0.396162i \(-0.870342\pi\)
0.696684 0.717378i \(-0.254658\pi\)
\(90\) −2.12659 + 1.12256i −0.224162 + 0.118328i
\(91\) 11.6083 14.1447i 1.21688 1.48277i
\(92\) −5.35460 + 7.83671i −0.558255 + 0.817033i
\(93\) −5.53170 2.95676i −0.573611 0.306601i
\(94\) −9.43177 6.37303i −0.972813 0.657328i
\(95\) 1.77495 + 1.77495i 0.182106 + 0.182106i
\(96\) −4.27839 3.70073i −0.436661 0.377704i
\(97\) 2.14657 2.14657i 0.217951 0.217951i −0.589683 0.807634i \(-0.700748\pi\)
0.807634 + 0.589683i \(0.200748\pi\)
\(98\) 4.25218 0.822933i 0.429535 0.0831288i
\(99\) −0.351933 + 0.658421i −0.0353706 + 0.0661738i
\(100\) −4.12770 0.865606i −0.412770 0.0865606i
\(101\) −7.62715 6.25944i −0.758930 0.622838i 0.173231 0.984881i \(-0.444579\pi\)
−0.932161 + 0.362043i \(0.882079\pi\)
\(102\) 1.89120 + 0.584407i 0.187257 + 0.0578649i
\(103\) −6.71089 + 1.33488i −0.661244 + 0.131530i −0.514293 0.857614i \(-0.671946\pi\)
−0.146950 + 0.989144i \(0.546946\pi\)
\(104\) 10.5452 12.4497i 1.03404 1.22079i
\(105\) 1.05228 5.29019i 0.102692 0.516269i
\(106\) −14.1104 + 4.20064i −1.37052 + 0.408002i
\(107\) −14.1197 4.28317i −1.36500 0.414070i −0.479028 0.877800i \(-0.659011\pi\)
−0.885977 + 0.463730i \(0.846511\pi\)
\(108\) 0.924467 + 1.77352i 0.0889569 + 0.170657i
\(109\) −6.21427 + 5.09992i −0.595219 + 0.488483i −0.883101 0.469182i \(-0.844549\pi\)
0.287883 + 0.957666i \(0.407049\pi\)
\(110\) 1.66216 0.678422i 0.158481 0.0646850i
\(111\) 10.3072 + 4.26936i 0.978312 + 0.405230i
\(112\) 12.4934 2.21701i 1.18052 0.209488i
\(113\) −3.03201 + 1.25590i −0.285228 + 0.118145i −0.520711 0.853733i \(-0.674333\pi\)
0.235483 + 0.971879i \(0.424333\pi\)
\(114\) 1.48387 1.46858i 0.138978 0.137545i
\(115\) −8.03054 0.790940i −0.748852 0.0737555i
\(116\) 4.36580 3.50785i 0.405354 0.325695i
\(117\) −5.08727 + 2.71920i −0.470318 + 0.251390i
\(118\) 0.332893 3.20937i 0.0306453 0.295447i
\(119\) −3.69171 + 2.46672i −0.338418 + 0.226124i
\(120\) 1.01146 4.70181i 0.0923331 0.429214i
\(121\) −5.80161 + 8.68273i −0.527419 + 0.789339i
\(122\) 1.34499 + 14.4215i 0.121770 + 1.30566i
\(123\) −0.223884 2.27313i −0.0201869 0.204961i
\(124\) 11.6389 4.68029i 1.04520 0.420302i
\(125\) −3.50881 11.5670i −0.313838 1.03458i
\(126\) −4.39531 0.897977i −0.391565 0.0799982i
\(127\) −20.0664 −1.78061 −0.890304 0.455368i \(-0.849508\pi\)
−0.890304 + 0.455368i \(0.849508\pi\)
\(128\) 11.1691 1.80342i 0.987214 0.159401i
\(129\) 6.21954 0.547600
\(130\) 13.5904 + 2.77658i 1.19196 + 0.243522i
\(131\) 0.0713865 + 0.235330i 0.00623707 + 0.0205608i 0.960004 0.279988i \(-0.0903303\pi\)
−0.953767 + 0.300548i \(0.902830\pi\)
\(132\) −0.557080 1.38534i −0.0484876 0.120578i
\(133\) 0.459002 + 4.66032i 0.0398005 + 0.404101i
\(134\) −0.794790 8.52203i −0.0686594 0.736192i
\(135\) −0.944675 + 1.41381i −0.0813047 + 0.121681i
\(136\) −3.32547 + 2.14801i −0.285157 + 0.184190i
\(137\) −10.0744 + 6.73150i −0.860715 + 0.575111i −0.905720 0.423876i \(-0.860669\pi\)
0.0450059 + 0.998987i \(0.485669\pi\)
\(138\) −0.692426 + 6.67558i −0.0589432 + 0.568263i
\(139\) 2.52406 1.34914i 0.214088 0.114432i −0.360868 0.932617i \(-0.617519\pi\)
0.574956 + 0.818185i \(0.305019\pi\)
\(140\) 6.75684 + 8.40943i 0.571058 + 0.710727i
\(141\) −8.01028 0.788943i −0.674587 0.0664410i
\(142\) 9.14027 9.04605i 0.767034 0.759127i
\(143\) 3.97873 1.64804i 0.332718 0.137816i
\(144\) −3.90613 0.861488i −0.325511 0.0717907i
\(145\) 4.39898 + 1.82212i 0.365316 + 0.151319i
\(146\) 2.55362 1.04228i 0.211339 0.0862593i
\(147\) 2.36737 1.94285i 0.195258 0.160244i
\(148\) −19.7860 + 10.3137i −1.62640 + 0.847781i
\(149\) 19.9918 + 6.06444i 1.63779 + 0.496818i 0.969088 0.246713i \(-0.0793506\pi\)
0.668701 + 0.743531i \(0.266851\pi\)
\(150\) −2.85825 + 0.850894i −0.233375 + 0.0694752i
\(151\) −2.19670 + 11.0436i −0.178765 + 0.898711i 0.782408 + 0.622766i \(0.213991\pi\)
−0.961173 + 0.275946i \(0.911009\pi\)
\(152\) 0.344635 + 4.16121i 0.0279536 + 0.337518i
\(153\) 1.37278 0.273063i 0.110983 0.0220758i
\(154\) 3.19991 + 0.988816i 0.257856 + 0.0796811i
\(155\) 8.24437 + 6.76598i 0.662204 + 0.543457i
\(156\) 2.36784 11.2912i 0.189579 0.904018i
\(157\) −6.45812 + 12.0823i −0.515414 + 0.964273i 0.480757 + 0.876854i \(0.340362\pi\)
−0.996172 + 0.0874188i \(0.972138\pi\)
\(158\) −12.2361 + 2.36809i −0.973455 + 0.188395i
\(159\) −7.36120 + 7.36120i −0.583781 + 0.583781i
\(160\) 5.90743 + 7.59094i 0.467024 + 0.600117i
\(161\) −10.6448 10.6448i −0.838926 0.838926i
\(162\) 1.17179 + 0.791776i 0.0920645 + 0.0622078i
\(163\) −3.59793 1.92313i −0.281812 0.150631i 0.324435 0.945908i \(-0.394826\pi\)
−0.606247 + 0.795276i \(0.707326\pi\)
\(164\) 3.77186 + 2.57721i 0.294533 + 0.201246i
\(165\) 0.805333 0.981301i 0.0626951 0.0763942i
\(166\) −20.8304 + 10.9957i −1.61675 + 0.853433i
\(167\) −0.118302 0.594747i −0.00915452 0.0460229i 0.975938 0.218048i \(-0.0699690\pi\)
−0.985093 + 0.172025i \(0.944969\pi\)
\(168\) 7.02323 5.58342i 0.541854 0.430770i
\(169\) 19.8848 + 3.95534i 1.52960 + 0.304257i
\(170\) −2.96009 1.60197i −0.227029 0.122866i
\(171\) 0.428532 1.41268i 0.0327706 0.108030i
\(172\) −7.99048 + 9.53326i −0.609268 + 0.726904i
\(173\) 4.95999 + 6.04377i 0.377101 + 0.459499i 0.926629 0.375976i \(-0.122692\pi\)
−0.549528 + 0.835475i \(0.685192\pi\)
\(174\) 1.53441 3.65078i 0.116323 0.276765i
\(175\) 2.55987 6.18006i 0.193508 0.467169i
\(176\) 2.83914 + 0.925908i 0.214008 + 0.0697930i
\(177\) −0.873110 2.10787i −0.0656269 0.158437i
\(178\) 15.1473 + 0.0784761i 1.13534 + 0.00588203i
\(179\) 0.911071 9.25026i 0.0680966 0.691397i −0.899164 0.437612i \(-0.855824\pi\)
0.967261 0.253785i \(-0.0816756\pi\)
\(180\) −0.953410 3.26436i −0.0710630 0.243311i
\(181\) 8.24235 + 15.4203i 0.612649 + 1.14619i 0.976660 + 0.214791i \(0.0689070\pi\)
−0.364011 + 0.931395i \(0.618593\pi\)
\(182\) 16.3127 + 20.0884i 1.20918 + 1.48905i
\(183\) 5.69003 + 8.51573i 0.420619 + 0.629501i
\(184\) −9.34269 9.63772i −0.688752 0.710502i
\(185\) −15.7730 10.5392i −1.15965 0.774854i
\(186\) 5.66278 6.82768i 0.415215 0.500630i
\(187\) −1.03993 + 0.102424i −0.0760473 + 0.00749001i
\(188\) 11.5004 11.2645i 0.838752 0.821548i
\(189\) −3.03556 + 0.920827i −0.220804 + 0.0669803i
\(190\) −2.96182 + 1.95690i −0.214873 + 0.141969i
\(191\) 6.86774i 0.496932i 0.968641 + 0.248466i \(0.0799264\pi\)
−0.968641 + 0.248466i \(0.920074\pi\)
\(192\) 6.33883 4.88049i 0.457466 0.352219i
\(193\) 12.2028i 0.878379i 0.898394 + 0.439190i \(0.144734\pi\)
−0.898394 + 0.439190i \(0.855266\pi\)
\(194\) 2.36661 + 3.58192i 0.169913 + 0.257167i
\(195\) 9.38606 2.84723i 0.672150 0.203894i
\(196\) −0.0634645 + 6.12474i −0.00453318 + 0.437482i
\(197\) 25.6827 2.52953i 1.82982 0.180221i 0.876342 0.481690i \(-0.159977\pi\)
0.953476 + 0.301469i \(0.0974770\pi\)
\(198\) −0.812677 0.674023i −0.0577544 0.0479007i
\(199\) −15.6230 10.4389i −1.10748 0.739997i −0.139303 0.990250i \(-0.544486\pi\)
−0.968181 + 0.250253i \(0.919486\pi\)
\(200\) 2.36785 5.47427i 0.167433 0.387090i
\(201\) −3.36239 5.03217i −0.237165 0.354942i
\(202\) 10.8321 8.79619i 0.762147 0.618897i
\(203\) 4.18730 + 7.83389i 0.293891 + 0.549831i
\(204\) −1.34511 + 2.45500i −0.0941768 + 0.171884i
\(205\) −0.380685 + 3.86516i −0.0265882 + 0.269954i
\(206\) 0.0501322 9.67644i 0.00349288 0.674189i
\(207\) 1.81609 + 4.38443i 0.126227 + 0.304739i
\(208\) 14.2650 + 18.1356i 0.989099 + 1.25748i
\(209\) −0.421766 + 1.01823i −0.0291742 + 0.0704327i
\(210\) 7.03216 + 2.95559i 0.485265 + 0.203955i
\(211\) −4.25891 5.18949i −0.293195 0.357260i 0.605490 0.795853i \(-0.292977\pi\)
−0.898686 + 0.438593i \(0.855477\pi\)
\(212\) −1.82598 20.7404i −0.125408 1.42446i
\(213\) 2.63964 8.70173i 0.180865 0.596232i
\(214\) 9.93176 18.3517i 0.678921 1.25449i
\(215\) −10.3723 2.06318i −0.707386 0.140708i
\(216\) −2.71907 + 0.778884i −0.185009 + 0.0529963i
\(217\) 3.88167 + 19.5145i 0.263505 + 1.32473i
\(218\) −5.30726 10.0541i −0.359453 0.680952i
\(219\) 1.23725 1.50760i 0.0836058 0.101874i
\(220\) 0.469489 + 2.49512i 0.0316529 + 0.168221i
\(221\) −7.12053 3.80600i −0.478978 0.256019i
\(222\) −8.83336 + 13.0729i −0.592856 + 0.877398i
\(223\) 12.1651 + 12.1651i 0.814635 + 0.814635i 0.985325 0.170690i \(-0.0545997\pi\)
−0.170690 + 0.985325i \(0.554600\pi\)
\(224\) −0.464780 + 17.9384i −0.0310544 + 1.19856i
\(225\) −1.49111 + 1.49111i −0.0994071 + 0.0994071i
\(226\) −0.881859 4.55666i −0.0586604 0.303104i
\(227\) −8.72474 + 16.3228i −0.579081 + 1.08339i 0.406415 + 0.913689i \(0.366779\pi\)
−0.985496 + 0.169697i \(0.945721\pi\)
\(228\) 1.61479 + 2.47177i 0.106942 + 0.163697i
\(229\) 13.6638 + 11.2136i 0.902927 + 0.741013i 0.966420 0.256969i \(-0.0827238\pi\)
−0.0634922 + 0.997982i \(0.520224\pi\)
\(230\) 3.36922 10.9032i 0.222160 0.718933i
\(231\) 2.32274 0.462023i 0.152825 0.0303989i
\(232\) 3.62457 + 7.04222i 0.237965 + 0.462344i
\(233\) −3.82211 + 19.2151i −0.250395 + 1.25882i 0.626988 + 0.779029i \(0.284288\pi\)
−0.877383 + 0.479791i \(0.840712\pi\)
\(234\) −2.32759 7.81864i −0.152159 0.511120i
\(235\) 13.0970 + 3.97293i 0.854354 + 0.259166i
\(236\) 4.35265 + 1.36977i 0.283333 + 0.0891643i
\(237\) −6.81239 + 5.59078i −0.442512 + 0.363160i
\(238\) −2.37281 5.81348i −0.153807 0.376832i
\(239\) 2.92148 + 1.21012i 0.188975 + 0.0782760i 0.475164 0.879897i \(-0.342389\pi\)
−0.286189 + 0.958173i \(0.592389\pi\)
\(240\) 6.22846 + 2.73246i 0.402046 + 0.176380i
\(241\) −13.7607 + 5.69985i −0.886402 + 0.367160i −0.778976 0.627054i \(-0.784261\pi\)
−0.107425 + 0.994213i \(0.534261\pi\)
\(242\) −10.3884 10.4966i −0.667791 0.674746i
\(243\) 0.995185 + 0.0980171i 0.0638411 + 0.00628780i
\(244\) −20.3630 2.21885i −1.30361 0.142047i
\(245\) −4.59255 + 2.45477i −0.293407 + 0.156830i
\(246\) 3.21301 + 0.333270i 0.204854 + 0.0212485i
\(247\) −7.08044 + 4.73100i −0.450517 + 0.301026i
\(248\) 3.19022 + 17.4516i 0.202579 + 1.10818i
\(249\) −9.25330 + 13.8485i −0.586404 + 0.877616i
\(250\) 17.0204 1.58738i 1.07647 0.100394i
\(251\) 0.0403178 + 0.409353i 0.00254483 + 0.0258381i 0.996373 0.0850898i \(-0.0271177\pi\)
−0.993828 + 0.110928i \(0.964618\pi\)
\(252\) 2.48846 5.83590i 0.156758 0.367627i
\(253\) −1.02848 3.39044i −0.0646600 0.213155i
\(254\) 5.68044 27.8039i 0.356422 1.74457i
\(255\) −2.37997 −0.149039
\(256\) −0.662953 + 15.9863i −0.0414346 + 0.999141i
\(257\) −20.0902 −1.25319 −0.626595 0.779345i \(-0.715552\pi\)
−0.626595 + 0.779345i \(0.715552\pi\)
\(258\) −1.76064 + 8.61775i −0.109613 + 0.536518i
\(259\) −10.2731 33.8658i −0.638339 2.10432i
\(260\) −7.69441 + 18.0448i −0.477187 + 1.11909i
\(261\) −0.274471 2.78675i −0.0169893 0.172495i
\(262\) −0.346279 + 0.0322950i −0.0213932 + 0.00199519i
\(263\) 14.2594 21.3407i 0.879271 1.31592i −0.0687239 0.997636i \(-0.521893\pi\)
0.947995 0.318286i \(-0.103107\pi\)
\(264\) 2.07721 0.379722i 0.127844 0.0233703i
\(265\) 14.7182 9.83435i 0.904129 0.604120i
\(266\) −6.58724 0.683263i −0.403890 0.0418935i
\(267\) 9.44619 5.04909i 0.578097 0.308999i
\(268\) 12.0331 + 1.31118i 0.735036 + 0.0800929i
\(269\) −0.124330 0.0122454i −0.00758051 0.000746615i 0.0942262 0.995551i \(-0.469962\pi\)
−0.101807 + 0.994804i \(0.532462\pi\)
\(270\) −1.69154 1.70916i −0.102944 0.104016i
\(271\) 18.2311 7.55156i 1.10746 0.458725i 0.247397 0.968914i \(-0.420425\pi\)
0.860062 + 0.510189i \(0.170425\pi\)
\(272\) −2.03489 5.21581i −0.123383 0.316255i
\(273\) 16.9053 + 7.00242i 1.02316 + 0.423806i
\(274\) −6.47524 15.8646i −0.391183 0.958414i
\(275\) 1.21698 0.998748i 0.0733866 0.0602268i
\(276\) −9.05362 2.84915i −0.544964 0.171499i
\(277\) −15.2331 4.62091i −0.915268 0.277644i −0.202695 0.979242i \(-0.564970\pi\)
−0.712573 + 0.701598i \(0.752470\pi\)
\(278\) 1.15484 + 3.87923i 0.0692627 + 0.232661i
\(279\) 1.22367 6.15181i 0.0732593 0.368299i
\(280\) −13.5648 + 6.98167i −0.810651 + 0.417235i
\(281\) −19.0864 + 3.79653i −1.13860 + 0.226482i −0.728161 0.685406i \(-0.759625\pi\)
−0.410440 + 0.911888i \(0.634625\pi\)
\(282\) 3.36072 10.8756i 0.200128 0.647635i
\(283\) 25.0995 + 20.5986i 1.49201 + 1.22446i 0.912223 + 0.409695i \(0.134365\pi\)
0.579789 + 0.814767i \(0.303135\pi\)
\(284\) 9.94669 + 15.2255i 0.590227 + 0.903464i
\(285\) −1.18328 + 2.21377i −0.0700916 + 0.131132i
\(286\) 1.15721 + 5.97942i 0.0684273 + 0.353571i
\(287\) −5.12341 + 5.12341i −0.302425 + 0.302425i
\(288\) 2.29942 5.16843i 0.135495 0.304553i
\(289\) −10.6355 10.6355i −0.625619 0.625619i
\(290\) −3.76998 + 5.57939i −0.221381 + 0.327633i
\(291\) 2.67725 + 1.43102i 0.156943 + 0.0838880i
\(292\) 0.721287 + 3.83332i 0.0422101 + 0.224328i
\(293\) 1.49664 1.82366i 0.0874348 0.106540i −0.727455 0.686155i \(-0.759297\pi\)
0.814890 + 0.579615i \(0.196797\pi\)
\(294\) 2.02184 + 3.83020i 0.117916 + 0.223382i
\(295\) 0.756847 + 3.80493i 0.0440653 + 0.221531i
\(296\) −8.68953 30.3350i −0.505068 1.76318i
\(297\) −0.732230 0.145650i −0.0424883 0.00845145i
\(298\) −14.0621 + 25.9837i −0.814598 + 1.50520i
\(299\) 7.94652 26.1962i 0.459559 1.51496i
\(300\) −0.369875 4.20124i −0.0213547 0.242558i
\(301\) −12.5162 15.2510i −0.721419 0.879051i
\(302\) −14.6800 6.16995i −0.844740 0.355041i
\(303\) 3.77587 9.11575i 0.216918 0.523686i
\(304\) −5.86329 0.700438i −0.336283 0.0401729i
\(305\) −6.66436 16.0892i −0.381600 0.921264i
\(306\) −0.0102550 + 1.97941i −0.000586242 + 0.113156i
\(307\) 0.141309 1.43474i 0.00806494 0.0818847i −0.990310 0.138877i \(-0.955651\pi\)
0.998375 + 0.0569918i \(0.0181509\pi\)
\(308\) −2.27593 + 4.15386i −0.129683 + 0.236688i
\(309\) −3.22547 6.03443i −0.183491 0.343287i
\(310\) −11.7087 + 9.50801i −0.665011 + 0.540019i
\(311\) 2.00253 + 2.99700i 0.113553 + 0.169944i 0.883893 0.467689i \(-0.154913\pi\)
−0.770340 + 0.637634i \(0.779913\pi\)
\(312\) 14.9747 + 6.47718i 0.847775 + 0.366698i
\(313\) −1.81952 1.21577i −0.102846 0.0687192i 0.503084 0.864238i \(-0.332199\pi\)
−0.605930 + 0.795518i \(0.707199\pi\)
\(314\) −14.9130 12.3686i −0.841587 0.698001i
\(315\) 5.36785 0.528688i 0.302444 0.0297882i
\(316\) 0.182626 17.6247i 0.0102735 0.991465i
\(317\) 6.09144 1.84782i 0.342129 0.103784i −0.114544 0.993418i \(-0.536541\pi\)
0.456674 + 0.889634i \(0.349041\pi\)
\(318\) −8.11580 12.2834i −0.455111 0.688821i
\(319\) 2.09058i 0.117050i
\(320\) −12.1902 + 6.03643i −0.681455 + 0.337447i
\(321\) 14.7551i 0.823547i
\(322\) 17.7627 11.7360i 0.989874 0.654020i
\(323\) 1.97729 0.599805i 0.110019 0.0333740i
\(324\) −1.42879 + 1.39948i −0.0793773 + 0.0777491i
\(325\) 12.1055 1.19229i 0.671492 0.0661362i
\(326\) 3.68319 4.44086i 0.203993 0.245956i
\(327\) −6.68422 4.46625i −0.369638 0.246984i
\(328\) −4.63870 + 4.49670i −0.256129 + 0.248289i
\(329\) 14.1852 + 21.2297i 0.782057 + 1.17043i
\(330\) 1.13171 + 1.39365i 0.0622985 + 0.0767180i
\(331\) −16.3770 30.6392i −0.900160 1.68408i −0.712289 0.701887i \(-0.752341\pi\)
−0.187871 0.982194i \(-0.560159\pi\)
\(332\) −9.33886 31.9751i −0.512537 1.75486i
\(333\) −1.09352 + 11.1027i −0.0599243 + 0.608422i
\(334\) 0.857566 + 0.00444292i 0.0469239 + 0.000243106i
\(335\) 3.93815 + 9.50753i 0.215164 + 0.519452i
\(336\) 5.74820 + 11.3119i 0.313590 + 0.617114i
\(337\) 10.9977 26.5508i 0.599084 1.44632i −0.275433 0.961320i \(-0.588821\pi\)
0.874517 0.484996i \(-0.161179\pi\)
\(338\) −11.1095 + 26.4326i −0.604278 + 1.43774i
\(339\) −2.08197 2.53689i −0.113077 0.137785i
\(340\) 3.05763 3.64799i 0.165823 0.197840i
\(341\) −1.35934 + 4.48113i −0.0736122 + 0.242667i
\(342\) 1.83609 + 0.993673i 0.0992842 + 0.0537317i
\(343\) 12.2502 + 2.43672i 0.661450 + 0.131571i
\(344\) −10.9473 13.7702i −0.590236 0.742441i
\(345\) −1.57426 7.91435i −0.0847554 0.426094i
\(346\) −9.77828 + 5.16165i −0.525684 + 0.277492i
\(347\) −6.71210 + 8.17872i −0.360324 + 0.439056i −0.921345 0.388745i \(-0.872909\pi\)
0.561021 + 0.827802i \(0.310409\pi\)
\(348\) 4.62412 + 3.15953i 0.247879 + 0.169369i
\(349\) −29.7212 15.8863i −1.59094 0.850374i −0.999015 0.0443807i \(-0.985869\pi\)
−0.591924 0.805994i \(-0.701631\pi\)
\(350\) 7.83839 + 5.29639i 0.418980 + 0.283104i
\(351\) −4.07887 4.07887i −0.217714 0.217714i
\(352\) −2.08664 + 3.67178i −0.111218 + 0.195706i
\(353\) 9.10812 9.10812i 0.484776 0.484776i −0.421877 0.906653i \(-0.638629\pi\)
0.906653 + 0.421877i \(0.138629\pi\)
\(354\) 3.16781 0.613074i 0.168367 0.0325845i
\(355\) −7.28871 + 13.6362i −0.386844 + 0.723735i
\(356\) −4.39667 + 20.9658i −0.233023 + 1.11119i
\(357\) −3.43215 2.81669i −0.181649 0.149075i
\(358\) 12.5592 + 3.88095i 0.663773 + 0.205115i
\(359\) 21.0209 4.18131i 1.10944 0.220681i 0.393830 0.919183i \(-0.371150\pi\)
0.715608 + 0.698502i \(0.246150\pi\)
\(360\) 4.79296 0.396958i 0.252611 0.0209215i
\(361\) −3.28156 + 16.4975i −0.172713 + 0.868289i
\(362\) −23.6996 + 7.05531i −1.24562 + 0.370819i
\(363\) −9.99297 3.03133i −0.524495 0.159104i
\(364\) −32.4522 + 16.9161i −1.70096 + 0.886644i
\(365\) −2.56347 + 2.10379i −0.134178 + 0.110117i
\(366\) −13.4101 + 5.47341i −0.700955 + 0.286100i
\(367\) −14.2835 5.91641i −0.745592 0.308834i −0.0226504 0.999743i \(-0.507210\pi\)
−0.722942 + 0.690909i \(0.757210\pi\)
\(368\) 15.9987 10.2169i 0.833989 0.532592i
\(369\) 2.11026 0.874097i 0.109856 0.0455037i
\(370\) 19.0680 18.8714i 0.991298 0.981079i
\(371\) 32.8640 + 3.23683i 1.70622 + 0.168048i
\(372\) 7.85735 + 9.77909i 0.407384 + 0.507022i
\(373\) −9.77829 + 5.22661i −0.506301 + 0.270623i −0.704710 0.709496i \(-0.748923\pi\)
0.198409 + 0.980119i \(0.436423\pi\)
\(374\) 0.152467 1.46992i 0.00788389 0.0760075i
\(375\) 10.0504 6.71545i 0.518999 0.346784i
\(376\) 12.3524 + 19.1236i 0.637029 + 0.986225i
\(377\) −8.97404 + 13.4306i −0.462186 + 0.691711i
\(378\) −0.416579 4.46671i −0.0214265 0.229743i
\(379\) 0.794511 + 8.06680i 0.0408113 + 0.414364i 0.993785 + 0.111312i \(0.0355054\pi\)
−0.952974 + 0.303051i \(0.901995\pi\)
\(380\) −1.87303 4.65783i −0.0960846 0.238942i
\(381\) −5.82497 19.2024i −0.298423 0.983767i
\(382\) −9.51588 1.94413i −0.486875 0.0994704i
\(383\) 8.14470 0.416175 0.208087 0.978110i \(-0.433276\pi\)
0.208087 + 0.978110i \(0.433276\pi\)
\(384\) 4.96797 + 10.1646i 0.253520 + 0.518711i
\(385\) −4.02690 −0.205230
\(386\) −16.9081 3.45440i −0.860602 0.175824i
\(387\) 1.80544 + 5.95173i 0.0917756 + 0.302544i
\(388\) −5.63303 + 2.26518i −0.285974 + 0.114997i
\(389\) −2.00697 20.3771i −0.101758 1.03316i −0.901488 0.432803i \(-0.857524\pi\)
0.799731 0.600359i \(-0.204976\pi\)
\(390\) 1.28808 + 13.8112i 0.0652243 + 0.699360i
\(391\) −3.69032 + 5.52296i −0.186628 + 0.279308i
\(392\) −8.46843 1.82174i −0.427720 0.0920116i
\(393\) −0.204474 + 0.136625i −0.0103144 + 0.00689183i
\(394\) −3.76541 + 36.3018i −0.189699 + 1.82886i
\(395\) 13.2156 7.06389i 0.664950 0.355423i
\(396\) 1.16397 0.935235i 0.0584919 0.0469973i
\(397\) 32.9784 + 3.24809i 1.65514 + 0.163017i 0.882009 0.471232i \(-0.156191\pi\)
0.773129 + 0.634249i \(0.218691\pi\)
\(398\) 18.8867 18.6920i 0.946704 0.936945i
\(399\) −4.32641 + 1.79206i −0.216591 + 0.0897151i
\(400\) 6.91481 + 4.83054i 0.345741 + 0.241527i
\(401\) 29.0966 + 12.0522i 1.45302 + 0.601859i 0.962915 0.269806i \(-0.0869597\pi\)
0.490102 + 0.871665i \(0.336960\pi\)
\(402\) 7.92436 3.23438i 0.395231 0.161316i
\(403\) −27.9685 + 22.9532i −1.39321 + 1.14338i
\(404\) 9.12154 + 17.4990i 0.453814 + 0.870606i
\(405\) −1.62715 0.493591i −0.0808538 0.0245267i
\(406\) −12.0399 + 3.58426i −0.597531 + 0.177884i
\(407\) 1.62492 8.16904i 0.0805445 0.404924i
\(408\) −3.02085 2.55875i −0.149554 0.126677i
\(409\) −12.0142 + 2.38976i −0.594062 + 0.118166i −0.482959 0.875643i \(-0.660438\pi\)
−0.111102 + 0.993809i \(0.535438\pi\)
\(410\) −5.24777 1.62163i −0.259169 0.0800865i
\(411\) −9.36609 7.68655i −0.461995 0.379150i
\(412\) 13.3934 + 2.80868i 0.659846 + 0.138374i
\(413\) −3.41169 + 6.38282i −0.167878 + 0.314078i
\(414\) −6.58913 + 1.27521i −0.323838 + 0.0626731i
\(415\) 20.0256 20.0256i 0.983019 0.983019i
\(416\) −29.1667 + 14.6316i −1.43002 + 0.717373i
\(417\) 2.02374 + 2.02374i 0.0991030 + 0.0991030i
\(418\) −1.29146 0.872640i −0.0631675 0.0426822i
\(419\) −23.8832 12.7658i −1.16677 0.623652i −0.229861 0.973223i \(-0.573827\pi\)
−0.936910 + 0.349571i \(0.886327\pi\)
\(420\) −6.08592 + 8.90703i −0.296962 + 0.434618i
\(421\) −15.5513 + 18.9493i −0.757923 + 0.923532i −0.998895 0.0470003i \(-0.985034\pi\)
0.240972 + 0.970532i \(0.422534\pi\)
\(422\) 8.39614 4.43206i 0.408718 0.215749i
\(423\) −1.57029 7.89437i −0.0763500 0.383838i
\(424\) 29.2546 + 3.34117i 1.42073 + 0.162261i
\(425\) −2.89484 0.575820i −0.140420 0.0279314i
\(426\) 11.3098 + 6.12076i 0.547962 + 0.296552i
\(427\) 9.43090 31.0895i 0.456393 1.50453i
\(428\) 22.6164 + 18.9564i 1.09321 + 0.916291i
\(429\) 2.73204 + 3.32900i 0.131904 + 0.160726i
\(430\) 5.79494 13.7877i 0.279457 0.664904i
\(431\) 12.7208 30.7108i 0.612741 1.47929i −0.247237 0.968955i \(-0.579522\pi\)
0.859977 0.510332i \(-0.170478\pi\)
\(432\) −0.309497 3.98801i −0.0148907 0.191873i
\(433\) 0.114350 + 0.276065i 0.00549530 + 0.0132668i 0.926603 0.376040i \(-0.122715\pi\)
−0.921108 + 0.389307i \(0.872715\pi\)
\(434\) −28.1379 0.145778i −1.35066 0.00699759i
\(435\) −0.466701 + 4.73850i −0.0223766 + 0.227194i
\(436\) 15.4333 4.50755i 0.739121 0.215873i
\(437\) 3.30250 + 6.17855i 0.157980 + 0.295560i
\(438\) 1.73867 + 2.14110i 0.0830769 + 0.102306i
\(439\) 4.37042 + 6.54079i 0.208589 + 0.312175i 0.920982 0.389606i \(-0.127389\pi\)
−0.712393 + 0.701781i \(0.752389\pi\)
\(440\) −3.59013 0.0558037i −0.171153 0.00266034i
\(441\) 2.54640 + 1.70145i 0.121257 + 0.0810216i
\(442\) 7.28925 8.78874i 0.346714 0.418038i
\(443\) −14.2392 + 1.40244i −0.676527 + 0.0666320i −0.430445 0.902617i \(-0.641643\pi\)
−0.246082 + 0.969249i \(0.579143\pi\)
\(444\) −15.6132 15.9401i −0.740969 0.756485i
\(445\) −17.4283 + 5.28682i −0.826181 + 0.250619i
\(446\) −20.2996 + 13.4121i −0.961212 + 0.635083i
\(447\) 20.8913i 0.988127i
\(448\) −24.7237 5.72202i −1.16808 0.270340i
\(449\) 2.01417i 0.0950544i −0.998870 0.0475272i \(-0.984866\pi\)
0.998870 0.0475272i \(-0.0151341\pi\)
\(450\) −1.64396 2.48817i −0.0774970 0.117293i
\(451\) −1.63184 + 0.495015i −0.0768406 + 0.0233093i
\(452\) 6.56330 + 0.0680089i 0.308712 + 0.00319887i
\(453\) −11.2057 + 1.10366i −0.526489 + 0.0518547i
\(454\) −20.1470 16.7096i −0.945545 0.784222i
\(455\) −25.8701 17.2859i −1.21281 0.810374i
\(456\) −3.88198 + 1.53773i −0.181791 + 0.0720108i
\(457\) 3.88292 + 5.81119i 0.181635 + 0.271836i 0.911103 0.412179i \(-0.135232\pi\)
−0.729468 + 0.684015i \(0.760232\pi\)
\(458\) −19.4054 + 15.7581i −0.906754 + 0.736326i
\(459\) 0.659802 + 1.23440i 0.0307969 + 0.0576170i
\(460\) 14.1536 + 7.75485i 0.659913 + 0.361572i
\(461\) 1.70803 17.3419i 0.0795508 0.807692i −0.869785 0.493430i \(-0.835743\pi\)
0.949336 0.314262i \(-0.101757\pi\)
\(462\) −0.0173515 + 3.34917i −0.000807266 + 0.155817i
\(463\) −0.266781 0.644067i −0.0123984 0.0299323i 0.917559 0.397599i \(-0.130157\pi\)
−0.929957 + 0.367667i \(0.880157\pi\)
\(464\) −10.7837 + 3.02865i −0.500620 + 0.140602i
\(465\) −4.08143 + 9.85344i −0.189272 + 0.456942i
\(466\) −25.5423 10.7353i −1.18322 0.497304i
\(467\) 5.88962 + 7.17652i 0.272539 + 0.332090i 0.891236 0.453540i \(-0.149839\pi\)
−0.618697 + 0.785630i \(0.712339\pi\)
\(468\) 11.4923 1.01178i 0.531234 0.0467696i
\(469\) −5.57297 + 18.3716i −0.257336 + 0.848323i
\(470\) −9.21238 + 17.0224i −0.424936 + 0.785186i
\(471\) −13.4367 2.67273i −0.619132 0.123153i
\(472\) −3.13009 + 5.64324i −0.144074 + 0.259751i
\(473\) −0.905874 4.55414i −0.0416521 0.209399i
\(474\) −5.81808 11.0218i −0.267233 0.506250i
\(475\) −1.97488 + 2.40640i −0.0906138 + 0.110413i
\(476\) 8.72682 1.64206i 0.399993 0.0752637i
\(477\) −9.18107 4.90739i −0.420372 0.224694i
\(478\) −2.50375 + 3.70542i −0.114519 + 0.169482i
\(479\) 25.9482 + 25.9482i 1.18561 + 1.18561i 0.978270 + 0.207336i \(0.0664792\pi\)
0.207336 + 0.978270i \(0.433521\pi\)
\(480\) −5.54924 + 7.85660i −0.253287 + 0.358603i
\(481\) 45.5055 45.5055i 2.07487 2.07487i
\(482\) −4.00228 20.6802i −0.182299 0.941956i
\(483\) 7.09640 13.2764i 0.322897 0.604099i
\(484\) 17.4847 11.4227i 0.794761 0.519212i
\(485\) −3.99014 3.27462i −0.181183 0.148693i
\(486\) −0.417530 + 1.35117i −0.0189396 + 0.0612905i
\(487\) −1.77746 + 0.353558i −0.0805443 + 0.0160212i −0.235198 0.971947i \(-0.575574\pi\)
0.154654 + 0.987969i \(0.450574\pi\)
\(488\) 8.83882 27.5867i 0.400114 1.24879i
\(489\) 0.795900 4.00126i 0.0359919 0.180943i
\(490\) −2.10124 7.05830i −0.0949245 0.318862i
\(491\) 24.6738 + 7.48471i 1.11351 + 0.337780i 0.792852 0.609414i \(-0.208595\pi\)
0.320660 + 0.947194i \(0.396095\pi\)
\(492\) −1.37132 + 4.35757i −0.0618238 + 0.196454i
\(493\) 3.02975 2.48645i 0.136453 0.111984i
\(494\) −4.55089 11.1499i −0.204754 0.501656i
\(495\) 1.17282 + 0.485799i 0.0527145 + 0.0218350i
\(496\) −25.0839 0.519895i −1.12630 0.0233440i
\(497\) −26.6495 + 11.0386i −1.19539 + 0.495149i
\(498\) −16.5690 16.7416i −0.742474 0.750207i
\(499\) 10.5552 + 1.03960i 0.472516 + 0.0465388i 0.331473 0.943465i \(-0.392454\pi\)
0.141043 + 0.990003i \(0.454954\pi\)
\(500\) −2.61872 + 24.0327i −0.117113 + 1.07478i
\(501\) 0.534796 0.285854i 0.0238929 0.0127710i
\(502\) −0.578610 0.0600164i −0.0258246 0.00267866i
\(503\) 25.5679 17.0839i 1.14002 0.761734i 0.165534 0.986204i \(-0.447065\pi\)
0.974481 + 0.224470i \(0.0720651\pi\)
\(504\) 7.38174 + 5.10003i 0.328809 + 0.227173i
\(505\) −9.32093 + 13.9498i −0.414776 + 0.620756i
\(506\) 4.98892 0.465281i 0.221784 0.0206843i
\(507\) 1.98724 + 20.1768i 0.0882563 + 0.896081i
\(508\) 36.9168 + 15.7415i 1.63792 + 0.698417i
\(509\) 12.4449 + 41.0253i 0.551611 + 1.81842i 0.574260 + 0.818673i \(0.305290\pi\)
−0.0226495 + 0.999743i \(0.507210\pi\)
\(510\) 0.673724 3.29766i 0.0298330 0.146023i
\(511\) −6.18662 −0.273680
\(512\) −21.9628 5.44400i −0.970626 0.240593i
\(513\) 1.47625 0.0651778
\(514\) 5.68716 27.8368i 0.250850 1.22783i
\(515\) 3.37733 + 11.1336i 0.148823 + 0.490604i
\(516\) −11.4423 4.87905i −0.503718 0.214788i
\(517\) 0.589006 + 5.98028i 0.0259044 + 0.263012i
\(518\) 49.8324 4.64751i 2.18951 0.204200i
\(519\) −4.34372 + 6.50083i −0.190668 + 0.285355i
\(520\) −22.8246 15.7695i −1.00092 0.691537i
\(521\) 14.7544 9.85860i 0.646404 0.431913i −0.188678 0.982039i \(-0.560420\pi\)
0.835082 + 0.550126i \(0.185420\pi\)
\(522\) 3.93899 + 0.408573i 0.172405 + 0.0178827i
\(523\) −2.13073 + 1.13890i −0.0931704 + 0.0498006i −0.517324 0.855790i \(-0.673072\pi\)
0.424153 + 0.905590i \(0.360572\pi\)
\(524\) 0.0532775 0.488944i 0.00232744 0.0213596i
\(525\) 6.65704 + 0.655661i 0.290537 + 0.0286154i
\(526\) 25.5329 + 25.7988i 1.11329 + 1.12488i
\(527\) 8.11095 3.35966i 0.353318 0.146349i
\(528\) −0.0618814 + 2.98566i −0.00269304 + 0.129934i
\(529\) 0.442143 + 0.183142i 0.0192236 + 0.00796268i
\(530\) 9.45996 + 23.1773i 0.410915 + 1.00676i
\(531\) 1.76366 1.44740i 0.0765363 0.0628117i
\(532\) 2.81145 8.93381i 0.121892 0.387330i
\(533\) −12.6084 3.82472i −0.546131 0.165667i
\(534\) 4.32194 + 14.5179i 0.187029 + 0.628250i
\(535\) −4.89463 + 24.6070i −0.211613 + 1.06385i
\(536\) −5.22309 + 16.3017i −0.225603 + 0.704127i
\(537\) 9.11641 1.81337i 0.393402 0.0782526i
\(538\) 0.0521626 0.168804i 0.00224889 0.00727765i
\(539\) −1.76742 1.45049i −0.0761282 0.0624768i
\(540\) 2.84704 1.85995i 0.122517 0.0800395i
\(541\) 19.1466 35.8207i 0.823175 1.54005i −0.0183483 0.999832i \(-0.505841\pi\)
0.841523 0.540221i \(-0.181659\pi\)
\(542\) 5.30250 + 27.3986i 0.227762 + 1.17687i
\(543\) −12.3637 + 12.3637i −0.530578 + 0.530578i
\(544\) 7.80302 1.34302i 0.334552 0.0575816i
\(545\) 9.66569 + 9.66569i 0.414033 + 0.414033i
\(546\) −14.4881 + 21.4417i −0.620033 + 0.917618i
\(547\) −12.3209 6.58567i −0.526804 0.281583i 0.186478 0.982459i \(-0.440293\pi\)
−0.713283 + 0.700876i \(0.752793\pi\)
\(548\) 23.8149 4.48106i 1.01732 0.191422i
\(549\) −6.49732 + 7.91700i −0.277299 + 0.337889i
\(550\) 1.03935 + 1.96896i 0.0443182 + 0.0839568i
\(551\) −0.806470 4.05440i −0.0343568 0.172723i
\(552\) 6.51068 11.7381i 0.277113 0.499606i
\(553\) 27.4184 + 5.45385i 1.16595 + 0.231922i
\(554\) 10.7149 19.7988i 0.455233 0.841169i
\(555\) 5.50669 18.1531i 0.233746 0.770558i
\(556\) −5.70195 + 0.501997i −0.241816 + 0.0212894i
\(557\) 8.46237 + 10.3114i 0.358562 + 0.436909i 0.920781 0.390079i \(-0.127552\pi\)
−0.562219 + 0.826988i \(0.690052\pi\)
\(558\) 8.17750 + 3.43697i 0.346181 + 0.145499i
\(559\) 13.7295 33.1458i 0.580694 1.40192i
\(560\) −5.83381 20.7716i −0.246523 0.877762i
\(561\) −0.399890 0.965420i −0.0168834 0.0407601i
\(562\) 0.142581 27.5207i 0.00601441 1.16089i
\(563\) −3.98147 + 40.4245i −0.167799 + 1.70369i 0.430642 + 0.902523i \(0.358287\pi\)
−0.598441 + 0.801167i \(0.704213\pi\)
\(564\) 14.1178 + 7.73527i 0.594468 + 0.325714i
\(565\) 2.63055 + 4.92140i 0.110668 + 0.207045i
\(566\) −35.6465 + 28.9466i −1.49833 + 1.21672i
\(567\) −1.76235 2.63755i −0.0740118 0.110767i
\(568\) −23.9120 + 9.47200i −1.00332 + 0.397436i
\(569\) −11.0678 7.39527i −0.463986 0.310026i 0.301513 0.953462i \(-0.402508\pi\)
−0.765500 + 0.643436i \(0.777508\pi\)
\(570\) −2.73241 2.26622i −0.114448 0.0949217i
\(571\) −24.5643 + 2.41937i −1.02798 + 0.101247i −0.597923 0.801553i \(-0.704007\pi\)
−0.430059 + 0.902801i \(0.641507\pi\)
\(572\) −8.61262 0.0892439i −0.360112 0.00373147i
\(573\) −6.57202 + 1.99360i −0.274550 + 0.0832838i
\(574\) −5.64861 8.54929i −0.235768 0.356841i
\(575\) 10.0074i 0.417338i
\(576\) 6.51041 + 4.64915i 0.271267 + 0.193715i
\(577\) 2.89971i 0.120717i 0.998177 + 0.0603583i \(0.0192243\pi\)
−0.998177 + 0.0603583i \(0.980776\pi\)
\(578\) 17.7472 11.7258i 0.738187 0.487728i
\(579\) −11.6774 + 3.54230i −0.485295 + 0.147213i
\(580\) −6.66354 6.80308i −0.276689 0.282483i
\(581\) 52.5793 5.17861i 2.18136 0.214845i
\(582\) −2.74069 + 3.30448i −0.113605 + 0.136975i
\(583\) 6.46225 + 4.31794i 0.267639 + 0.178831i
\(584\) −5.51560 0.0857326i −0.228237 0.00354764i
\(585\) 5.44926 + 8.15539i 0.225299 + 0.337184i
\(586\) 2.10318 + 2.58998i 0.0868816 + 0.106991i
\(587\) 22.2201 + 41.5709i 0.917123 + 1.71582i 0.662961 + 0.748654i \(0.269300\pi\)
0.254162 + 0.967162i \(0.418200\pi\)
\(588\) −5.87943 + 1.71719i −0.242464 + 0.0708156i
\(589\) 0.907590 9.21492i 0.0373966 0.379694i
\(590\) −5.48633 0.0284239i −0.225868 0.00117019i
\(591\) 9.87590 + 23.8425i 0.406240 + 0.980751i
\(592\) 44.4917 3.45286i 1.82860 0.141912i
\(593\) 3.46687 8.36976i 0.142367 0.343705i −0.836572 0.547857i \(-0.815444\pi\)
0.978939 + 0.204152i \(0.0654438\pi\)
\(594\) 0.409092 0.973342i 0.0167852 0.0399367i
\(595\) 4.78942 + 5.83592i 0.196347 + 0.239250i
\(596\) −32.0221 26.8399i −1.31168 1.09940i
\(597\) 5.45433 17.9805i 0.223231 0.735894i
\(598\) 34.0477 + 18.4263i 1.39231 + 0.753507i
\(599\) −14.2199 2.82851i −0.581008 0.115570i −0.104168 0.994560i \(-0.533218\pi\)
−0.476840 + 0.878990i \(0.658218\pi\)
\(600\) 5.92590 + 0.676797i 0.241924 + 0.0276301i
\(601\) 4.03786 + 20.2997i 0.164708 + 0.828043i 0.971469 + 0.237165i \(0.0762183\pi\)
−0.806761 + 0.590877i \(0.798782\pi\)
\(602\) 24.6747 13.0250i 1.00567 0.530860i
\(603\) 3.83944 4.67837i 0.156354 0.190518i
\(604\) 12.7047 18.5939i 0.516946 0.756575i
\(605\) 15.6597 + 8.37027i 0.636656 + 0.340300i
\(606\) 11.5618 + 7.81231i 0.469667 + 0.317353i
\(607\) −25.4663 25.4663i −1.03364 1.03364i −0.999414 0.0342308i \(-0.989102\pi\)
−0.0342308 0.999414i \(-0.510898\pi\)
\(608\) 2.63031 7.92585i 0.106673 0.321436i
\(609\) −6.28105 + 6.28105i −0.254521 + 0.254521i
\(610\) 24.1796 4.67953i 0.979003 0.189469i
\(611\) −21.8870 + 40.9476i −0.885451 + 1.65656i
\(612\) −2.73976 0.574545i −0.110748 0.0232246i
\(613\) −26.5931 21.8244i −1.07408 0.881479i −0.0807489 0.996734i \(-0.525731\pi\)
−0.993336 + 0.115256i \(0.963231\pi\)
\(614\) 1.94796 + 0.601944i 0.0786131 + 0.0242925i
\(615\) −3.80923 + 0.757703i −0.153603 + 0.0305536i
\(616\) −5.11128 4.32939i −0.205939 0.174436i
\(617\) 8.33094 41.8825i 0.335391 1.68613i −0.333488 0.942754i \(-0.608226\pi\)
0.668880 0.743371i \(-0.266774\pi\)
\(618\) 9.27433 2.76095i 0.373068 0.111062i
\(619\) 20.4152 + 6.19287i 0.820555 + 0.248913i 0.672529 0.740071i \(-0.265208\pi\)
0.148026 + 0.988983i \(0.452708\pi\)
\(620\) −9.85970 18.9151i −0.395975 0.759647i
\(621\) −3.66846 + 3.01062i −0.147210 + 0.120812i
\(622\) −4.71950 + 1.92630i −0.189235 + 0.0772374i
\(623\) −31.3903 13.0023i −1.25763 0.520926i
\(624\) −13.2138 + 18.9152i −0.528975 + 0.757215i
\(625\) −9.24756 + 3.83046i −0.369902 + 0.153219i
\(626\) 2.19963 2.17696i 0.0879149 0.0870087i
\(627\) −1.09682 0.108028i −0.0438028 0.00431420i
\(628\) 21.3594 17.1620i 0.852334 0.684837i
\(629\) −13.7715 + 7.36101i −0.549105 + 0.293503i
\(630\) −0.786996 + 7.58732i −0.0313547 + 0.302286i
\(631\) 24.6736 16.4863i 0.982239 0.656311i 0.0428203 0.999083i \(-0.486366\pi\)
0.939419 + 0.342772i \(0.111366\pi\)
\(632\) 24.3689 + 5.24226i 0.969342 + 0.208526i
\(633\) 3.72974 5.58195i 0.148244 0.221863i
\(634\) 0.835947 + 8.96333i 0.0331997 + 0.355980i
\(635\) 3.34438 + 33.9560i 0.132718 + 1.34750i
\(636\) 19.3173 7.76797i 0.765979 0.308020i
\(637\) −5.12814 16.9052i −0.203184 0.669809i
\(638\) −2.89670 0.591806i −0.114681 0.0234298i
\(639\) 9.09328 0.359725
\(640\) −4.91320 18.5995i −0.194211 0.735210i
\(641\) −9.45803 −0.373570 −0.186785 0.982401i \(-0.559807\pi\)
−0.186785 + 0.982401i \(0.559807\pi\)
\(642\) 20.4445 + 4.17689i 0.806880 + 0.164849i
\(643\) −3.77148 12.4329i −0.148732 0.490305i 0.850639 0.525750i \(-0.176215\pi\)
−0.999372 + 0.0354447i \(0.988715\pi\)
\(644\) 11.2330 + 27.9340i 0.442642 + 1.10076i
\(645\) −1.03658 10.5246i −0.0408154 0.414406i
\(646\) 0.271350 + 2.90951i 0.0106761 + 0.114473i
\(647\) 15.4178 23.0744i 0.606138 0.907150i −0.393789 0.919201i \(-0.628836\pi\)
0.999927 + 0.0120509i \(0.00383601\pi\)
\(648\) −1.53465 2.37589i −0.0602867 0.0933337i
\(649\) −1.41628 + 0.946328i −0.0555939 + 0.0371466i
\(650\) −1.77482 + 17.1108i −0.0696141 + 0.671140i
\(651\) −17.5474 + 9.37928i −0.687736 + 0.367603i
\(652\) 5.11058 + 6.36052i 0.200146 + 0.249097i
\(653\) 4.63094 + 0.456107i 0.181223 + 0.0178489i 0.188221 0.982127i \(-0.439728\pi\)
−0.00699875 + 0.999976i \(0.502228\pi\)
\(654\) 8.08059 7.99729i 0.315976 0.312719i
\(655\) 0.386323 0.160020i 0.0150949 0.00625251i
\(656\) −4.91746 7.70028i −0.191995 0.300645i
\(657\) 1.80184 + 0.746345i 0.0702963 + 0.0291177i
\(658\) −33.4313 + 13.6452i −1.30329 + 0.531945i
\(659\) 8.37437 6.87267i 0.326219 0.267721i −0.457000 0.889467i \(-0.651076\pi\)
0.783219 + 0.621745i \(0.213576\pi\)
\(660\) −2.25140 + 1.17357i −0.0876356 + 0.0456811i
\(661\) −36.2042 10.9824i −1.40818 0.427167i −0.507501 0.861651i \(-0.669431\pi\)
−0.900680 + 0.434484i \(0.856931\pi\)
\(662\) 47.0894 14.0184i 1.83018 0.544841i
\(663\) 1.57514 7.91874i 0.0611732 0.307539i
\(664\) 46.9481 3.88829i 1.82194 0.150895i
\(665\) 7.80961 1.55343i 0.302844 0.0602394i
\(666\) −15.0742 4.65813i −0.584114 0.180499i
\(667\) 10.2725 + 8.43044i 0.397754 + 0.326428i
\(668\) −0.248917 + 1.18698i −0.00963089 + 0.0459256i
\(669\) −8.10993 + 15.1726i −0.313548 + 0.586607i
\(670\) −14.2884 + 2.76526i −0.552008 + 0.106831i
\(671\) 5.40672 5.40672i 0.208724 0.208724i
\(672\) −17.3009 + 4.76247i −0.667395 + 0.183716i
\(673\) −33.8276 33.8276i −1.30396 1.30396i −0.925699 0.378260i \(-0.876523\pi\)
−0.378260 0.925699i \(-0.623477\pi\)
\(674\) 33.6754 + 22.7544i 1.29713 + 0.876467i
\(675\) −1.85975 0.994055i −0.0715816 0.0382612i
\(676\) −33.4798 22.8758i −1.28769 0.879839i
\(677\) 13.1701 16.0478i 0.506167 0.616766i −0.455750 0.890108i \(-0.650629\pi\)
0.961917 + 0.273342i \(0.0881290\pi\)
\(678\) 4.10446 2.16661i 0.157631 0.0832083i
\(679\) −1.87866 9.44468i −0.0720965 0.362454i
\(680\) 4.18907 + 5.26931i 0.160643 + 0.202069i
\(681\) −18.1526 3.61079i −0.695611 0.138366i
\(682\) −5.82422 3.15201i −0.223021 0.120697i
\(683\) −9.49206 + 31.2911i −0.363204 + 1.19732i 0.564950 + 0.825125i \(0.308895\pi\)
−0.928154 + 0.372197i \(0.878605\pi\)
\(684\) −1.89659 + 2.26278i −0.0725179 + 0.0865194i
\(685\) 13.0700 + 15.9258i 0.499378 + 0.608494i
\(686\) −6.84412 + 16.2840i −0.261310 + 0.621727i
\(687\) −6.76433 + 16.3305i −0.258075 + 0.623049i
\(688\) 22.1789 11.2703i 0.845562 0.429677i
\(689\) 22.9804 + 55.4797i 0.875485 + 2.11361i
\(690\) 11.4117 + 0.0591224i 0.434436 + 0.00225075i
\(691\) −0.623188 + 6.32733i −0.0237072 + 0.240703i 0.976027 + 0.217649i \(0.0698389\pi\)
−0.999734 + 0.0230538i \(0.992661\pi\)
\(692\) −4.38388 15.0099i −0.166650 0.570590i
\(693\) 1.11639 + 2.08861i 0.0424080 + 0.0793397i
\(694\) −9.43229 11.6155i −0.358045 0.440917i
\(695\) −2.70366 4.04631i −0.102556 0.153485i
\(696\) −5.68683 + 5.51274i −0.215559 + 0.208960i
\(697\) 2.65824 + 1.77618i 0.100688 + 0.0672775i
\(698\) 30.4255 36.6843i 1.15162 1.38852i
\(699\) −19.4972 + 1.92030i −0.737451 + 0.0726326i
\(700\) −9.55754 + 9.36150i −0.361241 + 0.353831i
\(701\) −24.6749 + 7.48505i −0.931958 + 0.282706i −0.719523 0.694469i \(-0.755639\pi\)
−0.212435 + 0.977175i \(0.568139\pi\)
\(702\) 6.80631 4.49700i 0.256887 0.169728i
\(703\) 16.4696i 0.621161i
\(704\) −4.49689 3.93064i −0.169483 0.148142i
\(705\) 13.6863i 0.515457i
\(706\) 10.0418 + 15.1985i 0.377928 + 0.572002i
\(707\) −29.9513 + 9.08562i −1.12643 + 0.341700i
\(708\) −0.0472801 + 4.56285i −0.00177690 + 0.171482i
\(709\) −10.1634 + 1.00101i −0.381695 + 0.0375936i −0.287045 0.957917i \(-0.592673\pi\)
−0.0946494 + 0.995511i \(0.530173\pi\)
\(710\) −16.8309 13.9593i −0.631653 0.523884i
\(711\) −7.32758 4.89613i −0.274806 0.183619i
\(712\) −27.8054 12.0270i −1.04205 0.450731i
\(713\) 16.5374 + 24.7499i 0.619329 + 0.926891i
\(714\) 4.87437 3.95821i 0.182419 0.148132i
\(715\) −3.45190 6.45806i −0.129094 0.241518i
\(716\) −8.93268 + 16.3033i −0.333830 + 0.609282i
\(717\) −0.309949 + 3.14696i −0.0115753 + 0.117525i
\(718\) −0.157032 + 30.3100i −0.00586037 + 1.13116i
\(719\) −0.311191 0.751282i −0.0116055 0.0280181i 0.917971 0.396648i \(-0.129827\pi\)
−0.929576 + 0.368630i \(0.879827\pi\)
\(720\) −0.806778 + 6.75346i −0.0300668 + 0.251687i
\(721\) −8.30615 + 20.0528i −0.309337 + 0.746806i
\(722\) −21.9298 9.21703i −0.816144 0.343022i
\(723\) −9.44892 11.5135i −0.351409 0.428193i
\(724\) −3.06687 34.8352i −0.113979 1.29464i
\(725\) −1.71412 + 5.65070i −0.0636609 + 0.209862i
\(726\) 7.02902 12.9881i 0.260871 0.482032i
\(727\) −11.3794 2.26351i −0.422039 0.0839488i −0.0204983 0.999790i \(-0.506525\pi\)
−0.401541 + 0.915841i \(0.631525\pi\)
\(728\) −14.2522 49.7541i −0.528221 1.84401i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −2.18932 4.14747i −0.0810303 0.153505i
\(731\) −5.52261 + 6.72932i −0.204261 + 0.248893i
\(732\) −3.78777 20.1303i −0.140000 0.744037i
\(733\) −27.6655 14.7875i −1.02185 0.546190i −0.126693 0.991942i \(-0.540436\pi\)
−0.895157 + 0.445752i \(0.852936\pi\)
\(734\) 12.2411 18.1163i 0.451828 0.668683i
\(735\) −3.68222 3.68222i −0.135821 0.135821i
\(736\) 9.62751 + 25.0599i 0.354875 + 0.923719i
\(737\) −3.19498 + 3.19498i −0.117688 + 0.117688i
\(738\) 0.613767 + 3.17140i 0.0225931 + 0.116741i
\(739\) −3.27745 + 6.13168i −0.120563 + 0.225557i −0.934962 0.354748i \(-0.884567\pi\)
0.814399 + 0.580305i \(0.197067\pi\)
\(740\) 20.7503 + 31.7626i 0.762797 + 1.16762i
\(741\) −6.58262 5.40222i −0.241819 0.198456i
\(742\) −13.7881 + 44.6199i −0.506178 + 1.63805i
\(743\) −15.8039 + 3.14360i −0.579791 + 0.115328i −0.476269 0.879300i \(-0.658011\pi\)
−0.103522 + 0.994627i \(0.533011\pi\)
\(744\) −15.7741 + 8.11879i −0.578307 + 0.297649i
\(745\) 6.93019 34.8404i 0.253903 1.27645i
\(746\) −4.47389 15.0283i −0.163801 0.550224i
\(747\) −15.9383 4.83484i −0.583153 0.176897i
\(748\) 1.99354 + 0.627363i 0.0728911 + 0.0229387i
\(749\) −36.1810 + 29.6930i −1.32202 + 1.08496i
\(750\) 6.45979 + 15.8267i 0.235878 + 0.577911i
\(751\) −2.36533 0.979754i −0.0863123 0.0357517i 0.339110 0.940747i \(-0.389874\pi\)
−0.425422 + 0.904995i \(0.639874\pi\)
\(752\) −29.9943 + 11.7019i −1.09378 + 0.426725i
\(753\) −0.380023 + 0.157411i −0.0138488 + 0.00573636i
\(754\) −16.0689 16.2363i −0.585196 0.591291i
\(755\) 19.0538 + 1.87664i 0.693439 + 0.0682978i
\(756\) 6.30697 + 0.687236i 0.229382 + 0.0249945i
\(757\) 7.23578 3.86761i 0.262989 0.140571i −0.334633 0.942349i \(-0.608612\pi\)
0.597622 + 0.801778i \(0.296112\pi\)
\(758\) −11.4022 1.18270i −0.414147 0.0429575i
\(759\) 2.94590 1.96839i 0.106929 0.0714480i
\(760\) 6.98408 1.27671i 0.253339 0.0463113i
\(761\) 3.83236 5.73554i 0.138923 0.207913i −0.755484 0.655167i \(-0.772598\pi\)
0.894407 + 0.447254i \(0.147598\pi\)
\(762\) 28.2556 2.63520i 1.02359 0.0954632i
\(763\) 2.49954 + 25.3783i 0.0904895 + 0.918755i
\(764\) 5.38754 12.6348i 0.194914 0.457110i
\(765\) −0.690867 2.27748i −0.0249784 0.0823426i
\(766\) −2.30562 + 11.2852i −0.0833053 + 0.407752i
\(767\) −13.1609 −0.475211
\(768\) −15.4903 + 4.00616i −0.558960 + 0.144560i
\(769\) −18.9685 −0.684022 −0.342011 0.939696i \(-0.611108\pi\)
−0.342011 + 0.939696i \(0.611108\pi\)
\(770\) 1.13994 5.57964i 0.0410806 0.201076i
\(771\) −5.83187 19.2251i −0.210030 0.692375i
\(772\) 9.57277 22.4499i 0.344532 0.807990i
\(773\) 0.702243 + 7.12999i 0.0252579 + 0.256