Properties

Label 570.2.bi.a.263.5
Level $570$
Weight $2$
Character 570.263
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 263.5
Character \(\chi\) \(=\) 570.263
Dual form 570.2.bi.a.557.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0871557 - 0.996195i) q^{2} +(-1.08413 + 1.35080i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(1.26644 + 1.84286i) q^{5} +(1.44015 + 0.962277i) q^{6} +(2.58063 + 0.691478i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.649316 - 2.92889i) q^{9} +O(q^{10})\) \(q+(-0.0871557 - 0.996195i) q^{2} +(-1.08413 + 1.35080i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(1.26644 + 1.84286i) q^{5} +(1.44015 + 0.962277i) q^{6} +(2.58063 + 0.691478i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.649316 - 2.92889i) q^{9} +(1.72547 - 1.42224i) q^{10} +(0.554680 + 0.320245i) q^{11} +(0.833098 - 1.51853i) q^{12} +(-1.44596 - 3.10086i) q^{13} +(0.463930 - 2.63108i) q^{14} +(-3.86232 - 0.287189i) q^{15} +(0.939693 - 0.342020i) q^{16} +(0.403697 + 4.61428i) q^{17} +(-2.86115 + 0.902115i) q^{18} +(-0.973621 + 4.24877i) q^{19} +(-1.56721 - 1.59494i) q^{20} +(-3.73179 + 2.73626i) q^{21} +(0.270683 - 0.580481i) q^{22} +(4.59541 + 3.21774i) q^{23} +(-1.58537 - 0.697578i) q^{24} +(-1.79224 + 4.66775i) q^{25} +(-2.96304 + 1.71071i) q^{26} +(4.66028 + 2.29821i) q^{27} +(-2.66150 - 0.232851i) q^{28} +(-4.13041 + 3.46582i) q^{29} +(0.0505272 + 3.87265i) q^{30} +(-2.31112 - 4.00297i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(-1.03393 + 0.402074i) q^{33} +(4.56154 - 0.804322i) q^{34} +(1.99393 + 5.63145i) q^{35} +(1.14805 + 2.77164i) q^{36} +(-1.10962 + 1.10962i) q^{37} +(4.31746 + 0.599611i) q^{38} +(5.75625 + 1.40855i) q^{39} +(-1.45228 + 1.70026i) q^{40} +(3.45091 + 9.48129i) q^{41} +(3.05109 + 3.47911i) q^{42} +(9.96368 - 6.97664i) q^{43} +(-0.601863 - 0.219060i) q^{44} +(4.57520 - 4.90587i) q^{45} +(2.80498 - 4.85836i) q^{46} +(-0.0396980 - 0.00347312i) q^{47} +(-0.556750 + 1.64013i) q^{48} +(0.119333 + 0.0688967i) q^{49} +(4.80619 + 1.37860i) q^{50} +(-6.67063 - 4.45717i) q^{51} +(1.96245 + 2.80267i) q^{52} +(-4.79662 - 3.35863i) q^{53} +(1.88329 - 4.84285i) q^{54} +(0.112306 + 1.42777i) q^{55} +2.67166i q^{56} +(-4.68370 - 5.92140i) q^{57} +(3.81263 + 3.81263i) q^{58} +(-0.274488 - 0.230323i) q^{59} +(3.85351 - 0.387859i) q^{60} +(1.05552 + 5.98616i) q^{61} +(-3.78631 + 2.65120i) q^{62} +(0.349617 - 8.00737i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(3.88323 - 6.59176i) q^{65} +(0.490657 + 0.994955i) q^{66} +(-0.651894 + 7.45118i) q^{67} +(-1.19883 - 4.47408i) q^{68} +(-9.32855 + 2.71902i) q^{69} +(5.43624 - 2.47715i) q^{70} +(-2.57023 - 0.453202i) q^{71} +(2.66103 - 1.38524i) q^{72} +(5.13652 + 2.39520i) q^{73} +(1.20211 + 1.00869i) q^{74} +(-4.36216 - 7.48141i) q^{75} +(0.221038 - 4.35329i) q^{76} +(1.20998 + 1.20998i) q^{77} +(0.901498 - 5.85711i) q^{78} +(0.988647 + 2.71629i) q^{79} +(1.82036 + 1.29857i) q^{80} +(-8.15678 + 3.80355i) q^{81} +(9.14444 - 4.26412i) q^{82} +(-10.1580 - 2.72183i) q^{83} +(3.19995 - 3.34271i) q^{84} +(-7.99220 + 6.58768i) q^{85} +(-7.81849 - 9.31771i) q^{86} +(-0.203725 - 9.33676i) q^{87} +(-0.165771 + 0.618665i) q^{88} +(-4.92265 - 1.79170i) q^{89} +(-5.28596 - 4.13022i) q^{90} +(-1.58730 - 9.00203i) q^{91} +(-5.08435 - 2.37087i) q^{92} +(7.91276 + 1.21789i) q^{93} +0.0398496i q^{94} +(-9.06291 + 3.58659i) q^{95} +(1.68241 + 0.411685i) q^{96} +(6.32427 - 0.553301i) q^{97} +(0.0582340 - 0.124883i) q^{98} +(0.577798 - 1.83254i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{9}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0871557 0.996195i −0.0616284 0.704416i
\(3\) −1.08413 + 1.35080i −0.625924 + 0.779884i
\(4\) −0.984808 + 0.173648i −0.492404 + 0.0868241i
\(5\) 1.26644 + 1.84286i 0.566371 + 0.824151i
\(6\) 1.44015 + 0.962277i 0.587938 + 0.392848i
\(7\) 2.58063 + 0.691478i 0.975387 + 0.261354i 0.711101 0.703090i \(-0.248197\pi\)
0.264286 + 0.964444i \(0.414864\pi\)
\(8\) 0.258819 + 0.965926i 0.0915064 + 0.341506i
\(9\) −0.649316 2.92889i −0.216439 0.976296i
\(10\) 1.72547 1.42224i 0.545640 0.449752i
\(11\) 0.554680 + 0.320245i 0.167242 + 0.0965574i 0.581285 0.813700i \(-0.302550\pi\)
−0.414043 + 0.910258i \(0.635884\pi\)
\(12\) 0.833098 1.51853i 0.240495 0.438363i
\(13\) −1.44596 3.10086i −0.401036 0.860025i −0.998317 0.0579927i \(-0.981530\pi\)
0.597281 0.802032i \(-0.296248\pi\)
\(14\) 0.463930 2.63108i 0.123990 0.703185i
\(15\) −3.86232 0.287189i −0.997247 0.0741519i
\(16\) 0.939693 0.342020i 0.234923 0.0855050i
\(17\) 0.403697 + 4.61428i 0.0979110 + 1.11913i 0.873147 + 0.487456i \(0.162075\pi\)
−0.775236 + 0.631671i \(0.782369\pi\)
\(18\) −2.86115 + 0.902115i −0.674380 + 0.212630i
\(19\) −0.973621 + 4.24877i −0.223364 + 0.974735i
\(20\) −1.56721 1.59494i −0.350439 0.356640i
\(21\) −3.73179 + 2.73626i −0.814344 + 0.597101i
\(22\) 0.270683 0.580481i 0.0577097 0.123759i
\(23\) 4.59541 + 3.21774i 0.958209 + 0.670945i 0.944344 0.328959i \(-0.106698\pi\)
0.0138645 + 0.999904i \(0.495587\pi\)
\(24\) −1.58537 0.697578i −0.323611 0.142393i
\(25\) −1.79224 + 4.66775i −0.358448 + 0.933550i
\(26\) −2.96304 + 1.71071i −0.581100 + 0.335498i
\(27\) 4.66028 + 2.29821i 0.896872 + 0.442290i
\(28\) −2.66150 0.232851i −0.502976 0.0440047i
\(29\) −4.13041 + 3.46582i −0.766998 + 0.643588i −0.939938 0.341345i \(-0.889118\pi\)
0.172940 + 0.984932i \(0.444673\pi\)
\(30\) 0.0505272 + 3.87265i 0.00922497 + 0.707047i
\(31\) −2.31112 4.00297i −0.415089 0.718954i 0.580349 0.814368i \(-0.302916\pi\)
−0.995438 + 0.0954133i \(0.969583\pi\)
\(32\) −0.422618 0.906308i −0.0747091 0.160214i
\(33\) −1.03393 + 0.402074i −0.179985 + 0.0699921i
\(34\) 4.56154 0.804322i 0.782297 0.137940i
\(35\) 1.99393 + 5.63145i 0.337035 + 0.951889i
\(36\) 1.14805 + 2.77164i 0.191341 + 0.461940i
\(37\) −1.10962 + 1.10962i −0.182420 + 0.182420i −0.792410 0.609989i \(-0.791174\pi\)
0.609989 + 0.792410i \(0.291174\pi\)
\(38\) 4.31746 + 0.599611i 0.700385 + 0.0972698i
\(39\) 5.75625 + 1.40855i 0.921738 + 0.225548i
\(40\) −1.45228 + 1.70026i −0.229626 + 0.268834i
\(41\) 3.45091 + 9.48129i 0.538941 + 1.48073i 0.848162 + 0.529738i \(0.177710\pi\)
−0.309221 + 0.950990i \(0.600068\pi\)
\(42\) 3.05109 + 3.47911i 0.470794 + 0.536838i
\(43\) 9.96368 6.97664i 1.51945 1.06393i 0.545237 0.838282i \(-0.316440\pi\)
0.974209 0.225646i \(-0.0724493\pi\)
\(44\) −0.601863 0.219060i −0.0907343 0.0330246i
\(45\) 4.57520 4.90587i 0.682031 0.731324i
\(46\) 2.80498 4.85836i 0.413571 0.716327i
\(47\) −0.0396980 0.00347312i −0.00579055 0.000506607i 0.0842601 0.996444i \(-0.473147\pi\)
−0.0900506 + 0.995937i \(0.528703\pi\)
\(48\) −0.556750 + 1.64013i −0.0803600 + 0.236732i
\(49\) 0.119333 + 0.0688967i 0.0170475 + 0.00984239i
\(50\) 4.80619 + 1.37860i 0.679698 + 0.194964i
\(51\) −6.67063 4.45717i −0.934075 0.624129i
\(52\) 1.96245 + 2.80267i 0.272143 + 0.388660i
\(53\) −4.79662 3.35863i −0.658866 0.461343i 0.195715 0.980661i \(-0.437297\pi\)
−0.854581 + 0.519318i \(0.826186\pi\)
\(54\) 1.88329 4.84285i 0.256283 0.659029i
\(55\) 0.112306 + 1.42777i 0.0151433 + 0.192520i
\(56\) 2.67166i 0.357016i
\(57\) −4.68370 5.92140i −0.620372 0.784308i
\(58\) 3.81263 + 3.81263i 0.500622 + 0.500622i
\(59\) −0.274488 0.230323i −0.0357354 0.0299855i 0.624745 0.780829i \(-0.285203\pi\)
−0.660480 + 0.750843i \(0.729647\pi\)
\(60\) 3.85351 0.387859i 0.497486 0.0500724i
\(61\) 1.05552 + 5.98616i 0.135146 + 0.766450i 0.974758 + 0.223264i \(0.0716711\pi\)
−0.839612 + 0.543186i \(0.817218\pi\)
\(62\) −3.78631 + 2.65120i −0.480862 + 0.336703i
\(63\) 0.349617 8.00737i 0.0440476 1.00883i
\(64\) −0.866025 + 0.500000i −0.108253 + 0.0625000i
\(65\) 3.88323 6.59176i 0.481655 0.817607i
\(66\) 0.490657 + 0.994955i 0.0603957 + 0.122471i
\(67\) −0.651894 + 7.45118i −0.0796415 + 0.910307i 0.846317 + 0.532680i \(0.178815\pi\)
−0.925958 + 0.377626i \(0.876740\pi\)
\(68\) −1.19883 4.47408i −0.145379 0.542562i
\(69\) −9.32855 + 2.71902i −1.12303 + 0.327331i
\(70\) 5.43624 2.47715i 0.649755 0.296076i
\(71\) −2.57023 0.453202i −0.305031 0.0537851i 0.0190378 0.999819i \(-0.493940\pi\)
−0.324068 + 0.946034i \(0.605051\pi\)
\(72\) 2.66103 1.38524i 0.313606 0.163252i
\(73\) 5.13652 + 2.39520i 0.601184 + 0.280337i 0.699289 0.714839i \(-0.253500\pi\)
−0.0981045 + 0.995176i \(0.531278\pi\)
\(74\) 1.20211 + 1.00869i 0.139742 + 0.117258i
\(75\) −4.36216 7.48141i −0.503699 0.863879i
\(76\) 0.221038 4.35329i 0.0253548 0.499357i
\(77\) 1.20998 + 1.20998i 0.137890 + 0.137890i
\(78\) 0.901498 5.85711i 0.102075 0.663187i
\(79\) 0.988647 + 2.71629i 0.111231 + 0.305606i 0.982802 0.184665i \(-0.0591200\pi\)
−0.871570 + 0.490271i \(0.836898\pi\)
\(80\) 1.82036 + 1.29857i 0.203523 + 0.145185i
\(81\) −8.15678 + 3.80355i −0.906309 + 0.422617i
\(82\) 9.14444 4.26412i 1.00983 0.470894i
\(83\) −10.1580 2.72183i −1.11499 0.298760i −0.346134 0.938185i \(-0.612506\pi\)
−0.768854 + 0.639425i \(0.779173\pi\)
\(84\) 3.19995 3.34271i 0.349143 0.364719i
\(85\) −7.99220 + 6.58768i −0.866876 + 0.714534i
\(86\) −7.81849 9.31771i −0.843089 1.00475i
\(87\) −0.203725 9.33676i −0.0218416 1.00101i
\(88\) −0.165771 + 0.618665i −0.0176712 + 0.0659499i
\(89\) −4.92265 1.79170i −0.521800 0.189920i 0.0676732 0.997708i \(-0.478442\pi\)
−0.589473 + 0.807788i \(0.700665\pi\)
\(90\) −5.28596 4.13022i −0.557189 0.435363i
\(91\) −1.58730 9.00203i −0.166394 0.943669i
\(92\) −5.08435 2.37087i −0.530080 0.247180i
\(93\) 7.91276 + 1.21789i 0.820515 + 0.126290i
\(94\) 0.0398496i 0.00411017i
\(95\) −9.06291 + 3.58659i −0.929835 + 0.367976i
\(96\) 1.68241 + 0.411685i 0.171711 + 0.0420174i
\(97\) 6.32427 0.553301i 0.642132 0.0561793i 0.238561 0.971128i \(-0.423324\pi\)
0.403571 + 0.914948i \(0.367769\pi\)
\(98\) 0.0582340 0.124883i 0.00588252 0.0126151i
\(99\) 0.577798 1.83254i 0.0580709 0.184177i
\(100\) 0.954468 4.90805i 0.0954468 0.490805i
\(101\) 0.810731 2.22746i 0.0806707 0.221641i −0.892800 0.450454i \(-0.851262\pi\)
0.973470 + 0.228813i \(0.0734844\pi\)
\(102\) −3.85883 + 7.03371i −0.382081 + 0.696441i
\(103\) 18.7489 5.02375i 1.84738 0.495005i 0.847995 0.530004i \(-0.177809\pi\)
0.999387 + 0.0349989i \(0.0111428\pi\)
\(104\) 2.62096 2.19925i 0.257007 0.215654i
\(105\) −9.76864 3.41184i −0.953321 0.332961i
\(106\) −2.92779 + 5.07109i −0.284373 + 0.492548i
\(107\) 3.02567 11.2919i 0.292502 1.09163i −0.650678 0.759354i \(-0.725515\pi\)
0.943181 0.332280i \(-0.107818\pi\)
\(108\) −4.98856 1.45404i −0.480025 0.139915i
\(109\) −12.4624 2.19747i −1.19369 0.210479i −0.458718 0.888582i \(-0.651691\pi\)
−0.734967 + 0.678103i \(0.762802\pi\)
\(110\) 1.41255 0.236317i 0.134681 0.0225319i
\(111\) −0.295899 2.70185i −0.0280855 0.256448i
\(112\) 2.66150 0.232851i 0.251488 0.0220023i
\(113\) 13.1102 13.1102i 1.23330 1.23330i 0.270613 0.962688i \(-0.412773\pi\)
0.962688 0.270613i \(-0.0872265\pi\)
\(114\) −5.49065 + 5.18196i −0.514247 + 0.485335i
\(115\) −0.110008 + 12.5438i −0.0102583 + 1.16971i
\(116\) 3.46582 4.13041i 0.321794 0.383499i
\(117\) −8.14320 + 6.24849i −0.752839 + 0.577673i
\(118\) −0.205523 + 0.293518i −0.0189200 + 0.0270205i
\(119\) −2.14888 + 12.1869i −0.196987 + 1.11717i
\(120\) −0.722239 3.80505i −0.0659311 0.347352i
\(121\) −5.29489 9.17101i −0.481353 0.833728i
\(122\) 5.87139 1.57323i 0.531571 0.142434i
\(123\) −16.5485 5.61748i −1.49213 0.506511i
\(124\) 2.97111 + 3.54083i 0.266814 + 0.317976i
\(125\) −10.8718 + 2.60859i −0.972400 + 0.233320i
\(126\) −8.00737 + 0.349602i −0.713353 + 0.0311450i
\(127\) 17.0072 7.93059i 1.50915 0.703726i 0.520482 0.853873i \(-0.325752\pi\)
0.988664 + 0.150146i \(0.0479745\pi\)
\(128\) 0.573576 + 0.819152i 0.0506975 + 0.0724035i
\(129\) −1.37790 + 21.0225i −0.121317 + 1.85093i
\(130\) −6.90512 3.29394i −0.605619 0.288898i
\(131\) 0.936829 1.11647i 0.0818511 0.0975464i −0.723565 0.690257i \(-0.757498\pi\)
0.805416 + 0.592710i \(0.201942\pi\)
\(132\) 0.948406 0.575506i 0.0825481 0.0500914i
\(133\) −5.45049 + 10.2913i −0.472617 + 0.892366i
\(134\) 7.47964 0.646143
\(135\) 1.66672 + 11.4988i 0.143449 + 0.989658i
\(136\) −4.35257 + 1.58421i −0.373230 + 0.135844i
\(137\) −3.22026 + 4.59901i −0.275125 + 0.392920i −0.932807 0.360376i \(-0.882648\pi\)
0.657682 + 0.753296i \(0.271537\pi\)
\(138\) 3.52171 + 9.05607i 0.299788 + 0.770904i
\(139\) 7.01865 19.2836i 0.595314 1.63561i −0.165176 0.986264i \(-0.552819\pi\)
0.760491 0.649349i \(-0.224959\pi\)
\(140\) −2.94153 5.19965i −0.248604 0.439451i
\(141\) 0.0477293 0.0498587i 0.00401954 0.00419886i
\(142\) −0.227466 + 2.59995i −0.0190886 + 0.218183i
\(143\) 0.190992 2.18305i 0.0159715 0.182556i
\(144\) −1.61190 2.53018i −0.134325 0.210848i
\(145\) −11.6179 3.22248i −0.964818 0.267612i
\(146\) 1.93841 5.32573i 0.160424 0.440761i
\(147\) −0.222438 + 0.0865013i −0.0183464 + 0.00713450i
\(148\) 0.900079 1.28545i 0.0739860 0.105663i
\(149\) 5.51146 2.00601i 0.451517 0.164339i −0.106245 0.994340i \(-0.533883\pi\)
0.557761 + 0.830001i \(0.311660\pi\)
\(150\) −7.07276 + 4.99761i −0.577488 + 0.408053i
\(151\) −3.05810 −0.248865 −0.124432 0.992228i \(-0.539711\pi\)
−0.124432 + 0.992228i \(0.539711\pi\)
\(152\) −4.35599 + 0.159217i −0.353317 + 0.0129142i
\(153\) 13.2526 4.17851i 1.07141 0.337813i
\(154\) 1.09992 1.31083i 0.0886342 0.105630i
\(155\) 4.45000 9.32859i 0.357433 0.749290i
\(156\) −5.91339 0.387587i −0.473450 0.0310318i
\(157\) 6.35911 + 9.08175i 0.507512 + 0.724803i 0.988382 0.151989i \(-0.0485679\pi\)
−0.480870 + 0.876792i \(0.659679\pi\)
\(158\) 2.61978 1.22162i 0.208419 0.0971872i
\(159\) 9.73700 2.83807i 0.772194 0.225074i
\(160\) 1.13497 1.92661i 0.0897275 0.152312i
\(161\) 9.63405 + 11.4814i 0.759270 + 0.904862i
\(162\) 4.49999 + 7.79424i 0.353552 + 0.612373i
\(163\) 0.927289 0.248466i 0.0726309 0.0194614i −0.222321 0.974974i \(-0.571363\pi\)
0.294952 + 0.955512i \(0.404697\pi\)
\(164\) −5.04489 8.73800i −0.393939 0.682323i
\(165\) −2.05038 1.39619i −0.159622 0.108693i
\(166\) −1.82615 + 10.3566i −0.141737 + 0.803828i
\(167\) 7.24077 10.3409i 0.560308 0.800202i −0.434639 0.900605i \(-0.643124\pi\)
0.994947 + 0.100402i \(0.0320130\pi\)
\(168\) −3.60888 2.89644i −0.278431 0.223465i
\(169\) 0.831672 0.991148i 0.0639748 0.0762422i
\(170\) 7.25918 + 7.38763i 0.556754 + 0.566605i
\(171\) 13.0764 + 0.0928320i 0.999975 + 0.00709904i
\(172\) −8.60083 + 8.60083i −0.655807 + 0.655807i
\(173\) −21.7943 + 1.90675i −1.65699 + 0.144968i −0.876891 0.480690i \(-0.840386\pi\)
−0.780098 + 0.625658i \(0.784831\pi\)
\(174\) −9.28348 + 1.01670i −0.703779 + 0.0770760i
\(175\) −7.85276 + 10.8064i −0.593613 + 0.816890i
\(176\) 0.630759 + 0.111220i 0.0475452 + 0.00838351i
\(177\) 0.608702 0.121078i 0.0457528 0.00910079i
\(178\) −1.35584 + 5.06008i −0.101625 + 0.379269i
\(179\) 3.01962 5.23013i 0.225697 0.390918i −0.730831 0.682558i \(-0.760867\pi\)
0.956528 + 0.291640i \(0.0942008\pi\)
\(180\) −3.65380 + 5.62581i −0.272338 + 0.419323i
\(181\) 3.15324 2.64588i 0.234378 0.196667i −0.518032 0.855361i \(-0.673335\pi\)
0.752411 + 0.658694i \(0.228891\pi\)
\(182\) −8.82943 + 2.36584i −0.654481 + 0.175368i
\(183\) −9.23043 5.06399i −0.682333 0.374341i
\(184\) −1.91872 + 5.27163i −0.141450 + 0.388630i
\(185\) −3.45014 0.639599i −0.253659 0.0470243i
\(186\) 0.523617 7.98880i 0.0383935 0.585767i
\(187\) −1.25378 + 2.68873i −0.0916852 + 0.196620i
\(188\) 0.0396980 0.00347312i 0.00289527 0.000253304i
\(189\) 10.4373 + 9.15330i 0.759203 + 0.665805i
\(190\) 4.36282 + 8.71584i 0.316512 + 0.632313i
\(191\) 2.65139i 0.191847i −0.995389 0.0959237i \(-0.969420\pi\)
0.995389 0.0959237i \(-0.0305805\pi\)
\(192\) 0.263486 1.71189i 0.0190155 0.123545i
\(193\) −19.3543 9.02507i −1.39316 0.649639i −0.426210 0.904624i \(-0.640152\pi\)
−0.966945 + 0.254985i \(0.917929\pi\)
\(194\) −1.10239 6.25198i −0.0791471 0.448866i
\(195\) 4.69421 + 12.3918i 0.336160 + 0.887395i
\(196\) −0.129483 0.0471281i −0.00924882 0.00336630i
\(197\) 4.71618 17.6010i 0.336014 1.25402i −0.566753 0.823888i \(-0.691800\pi\)
0.902766 0.430132i \(-0.141533\pi\)
\(198\) −1.87592 0.415884i −0.133316 0.0295556i
\(199\) 6.15964 + 7.34077i 0.436645 + 0.520373i 0.938827 0.344389i \(-0.111914\pi\)
−0.502182 + 0.864762i \(0.667469\pi\)
\(200\) −4.97256 0.523070i −0.351613 0.0369867i
\(201\) −9.35831 8.95864i −0.660084 0.631894i
\(202\) −2.28965 0.613509i −0.161099 0.0431664i
\(203\) −13.0556 + 6.08793i −0.916323 + 0.427289i
\(204\) 7.34327 + 3.23112i 0.514131 + 0.226224i
\(205\) −13.1023 + 18.3670i −0.915103 + 1.28281i
\(206\) −6.63871 18.2397i −0.462541 1.27082i
\(207\) 6.44053 15.5488i 0.447648 1.08071i
\(208\) −2.41931 2.41931i −0.167749 0.167749i
\(209\) −1.90070 + 2.04491i −0.131474 + 0.141450i
\(210\) −2.54746 + 10.0288i −0.175792 + 0.692055i
\(211\) −11.4618 9.61757i −0.789061 0.662101i 0.156452 0.987686i \(-0.449994\pi\)
−0.945513 + 0.325585i \(0.894439\pi\)
\(212\) 5.30697 + 2.47468i 0.364484 + 0.169962i
\(213\) 3.39866 2.98054i 0.232872 0.204223i
\(214\) −11.5127 2.03000i −0.786991 0.138768i
\(215\) 25.4754 + 9.52611i 1.73741 + 0.649675i
\(216\) −1.01373 + 5.09631i −0.0689753 + 0.346760i
\(217\) −3.19617 11.9283i −0.216970 0.809743i
\(218\) −1.10293 + 12.6065i −0.0746998 + 0.853823i
\(219\) −8.80410 + 4.34170i −0.594926 + 0.293385i
\(220\) −0.358529 1.38658i −0.0241720 0.0934829i
\(221\) 13.7245 7.92386i 0.923212 0.533016i
\(222\) −2.66578 + 0.530255i −0.178915 + 0.0355884i
\(223\) 13.1953 9.23947i 0.883625 0.618721i −0.0411846 0.999152i \(-0.513113\pi\)
0.924809 + 0.380431i \(0.124224\pi\)
\(224\) −0.463930 2.63108i −0.0309976 0.175796i
\(225\) 14.8350 + 2.21843i 0.989003 + 0.147895i
\(226\) −14.2029 11.9177i −0.944764 0.792751i
\(227\) 15.2561 + 15.2561i 1.01258 + 1.01258i 0.999920 + 0.0126606i \(0.00403009\pi\)
0.0126606 + 0.999920i \(0.495970\pi\)
\(228\) 5.64079 + 5.01812i 0.373570 + 0.332333i
\(229\) 1.02530i 0.0677540i −0.999426 0.0338770i \(-0.989215\pi\)
0.999426 0.0338770i \(-0.0107855\pi\)
\(230\) 12.5056 0.983672i 0.824596 0.0648614i
\(231\) −2.94622 + 0.322663i −0.193847 + 0.0212296i
\(232\) −4.41676 3.09265i −0.289974 0.203042i
\(233\) −5.67702 8.10763i −0.371914 0.531148i 0.588950 0.808170i \(-0.299542\pi\)
−0.960864 + 0.277021i \(0.910653\pi\)
\(234\) 6.93444 + 7.56762i 0.453318 + 0.494711i
\(235\) −0.0438748 0.0775562i −0.00286208 0.00505921i
\(236\) 0.310314 + 0.179160i 0.0201997 + 0.0116623i
\(237\) −4.74098 1.60935i −0.307960 0.104538i
\(238\) 12.3278 + 1.07854i 0.799093 + 0.0699116i
\(239\) −12.1309 + 21.0113i −0.784681 + 1.35911i 0.144509 + 0.989503i \(0.453840\pi\)
−0.929190 + 0.369603i \(0.879494\pi\)
\(240\) −3.72762 + 1.05112i −0.240617 + 0.0678496i
\(241\) 14.5060 + 5.27974i 0.934411 + 0.340098i 0.763956 0.645268i \(-0.223254\pi\)
0.170454 + 0.985366i \(0.445476\pi\)
\(242\) −8.67463 + 6.07404i −0.557627 + 0.390454i
\(243\) 3.70519 15.1417i 0.237688 0.971342i
\(244\) −2.07897 5.71193i −0.133093 0.365669i
\(245\) 0.0241612 + 0.307167i 0.00154360 + 0.0196242i
\(246\) −4.15381 + 16.9752i −0.264837 + 1.08230i
\(247\) 14.5827 3.12447i 0.927874 0.198805i
\(248\) 3.26841 3.26841i 0.207544 0.207544i
\(249\) 14.6893 10.7706i 0.930896 0.682561i
\(250\) 3.54620 + 10.6030i 0.224282 + 0.670595i
\(251\) 14.3908 2.53749i 0.908342 0.160165i 0.300092 0.953910i \(-0.402983\pi\)
0.608250 + 0.793745i \(0.291872\pi\)
\(252\) 1.04616 + 7.94643i 0.0659018 + 0.500578i
\(253\) 1.51852 + 3.25647i 0.0954684 + 0.204733i
\(254\) −9.38269 16.2513i −0.588722 1.01970i
\(255\) −0.234037 17.9378i −0.0146560 1.12331i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 26.0876 + 2.28237i 1.62730 + 0.142370i 0.863936 0.503601i \(-0.167992\pi\)
0.763362 + 0.645971i \(0.223547\pi\)
\(258\) 21.0626 0.459578i 1.31130 0.0286121i
\(259\) −3.63080 + 2.09624i −0.225607 + 0.130254i
\(260\) −2.67958 + 7.16593i −0.166181 + 0.444412i
\(261\) 12.8330 + 9.84709i 0.794340 + 0.609520i
\(262\) −1.19387 0.835957i −0.0737576 0.0516456i
\(263\) −11.6320 + 24.9450i −0.717261 + 1.53817i 0.120849 + 0.992671i \(0.461438\pi\)
−0.838110 + 0.545501i \(0.816340\pi\)
\(264\) −0.655975 0.894638i −0.0403725 0.0550612i
\(265\) 0.114825 13.0930i 0.00705361 0.804296i
\(266\) 10.7272 + 4.53280i 0.657724 + 0.277924i
\(267\) 7.75703 4.70708i 0.474723 0.288068i
\(268\) −0.651894 7.45118i −0.0398208 0.455153i
\(269\) −26.3597 + 9.59414i −1.60718 + 0.584965i −0.980879 0.194617i \(-0.937654\pi\)
−0.626300 + 0.779582i \(0.715431\pi\)
\(270\) 11.3098 2.66257i 0.688290 0.162039i
\(271\) 3.95466 22.4280i 0.240229 1.36240i −0.591088 0.806607i \(-0.701302\pi\)
0.831317 0.555798i \(-0.187587\pi\)
\(272\) 1.95753 + 4.19793i 0.118693 + 0.254537i
\(273\) 13.8808 + 7.61526i 0.840103 + 0.460897i
\(274\) 4.86217 + 2.80718i 0.293735 + 0.169588i
\(275\) −2.48894 + 2.01515i −0.150089 + 0.121518i
\(276\) 8.71467 4.29760i 0.524562 0.258685i
\(277\) −1.88014 7.01677i −0.112967 0.421597i 0.886160 0.463379i \(-0.153363\pi\)
−0.999127 + 0.0417820i \(0.986696\pi\)
\(278\) −19.8219 5.31127i −1.18884 0.318549i
\(279\) −10.2236 + 9.36819i −0.612071 + 0.560859i
\(280\) −4.92350 + 3.38351i −0.294235 + 0.202204i
\(281\) 8.80484 1.55253i 0.525253 0.0926163i 0.0952669 0.995452i \(-0.469630\pi\)
0.429986 + 0.902835i \(0.358518\pi\)
\(282\) −0.0538288 0.0432022i −0.00320546 0.00257266i
\(283\) 1.38751 + 15.8593i 0.0824789 + 0.942738i 0.918858 + 0.394587i \(0.129112\pi\)
−0.836379 + 0.548151i \(0.815332\pi\)
\(284\) 2.60988 0.154868
\(285\) 4.98064 16.1305i 0.295028 0.955489i
\(286\) −2.19139 −0.129579
\(287\) 2.34941 + 26.8539i 0.138681 + 1.58514i
\(288\) −2.38006 + 1.82628i −0.140246 + 0.107615i
\(289\) −4.38688 + 0.773526i −0.258052 + 0.0455015i
\(290\) −2.19765 + 11.8546i −0.129050 + 0.696126i
\(291\) −6.10894 + 9.14266i −0.358112 + 0.535952i
\(292\) −5.47441 1.46686i −0.320365 0.0858417i
\(293\) −2.07590 7.74736i −0.121275 0.452605i 0.878404 0.477918i \(-0.158608\pi\)
−0.999680 + 0.0253128i \(0.991942\pi\)
\(294\) 0.105559 + 0.214052i 0.00615632 + 0.0124838i
\(295\) 0.0768285 0.797534i 0.00447313 0.0464342i
\(296\) −1.35900 0.784620i −0.0789903 0.0456051i
\(297\) 1.84898 + 2.76720i 0.107289 + 0.160569i
\(298\) −2.47873 5.31565i −0.143589 0.307928i
\(299\) 3.33301 18.9024i 0.192753 1.09316i
\(300\) 5.59503 + 6.61027i 0.323029 + 0.381644i
\(301\) 30.5368 11.1145i 1.76011 0.640627i
\(302\) 0.266531 + 3.04646i 0.0153371 + 0.175304i
\(303\) 2.12992 + 3.51000i 0.122361 + 0.201644i
\(304\) 0.538261 + 4.32554i 0.0308714 + 0.248087i
\(305\) −9.69488 + 9.52631i −0.555127 + 0.545475i
\(306\) −5.31765 12.8380i −0.303990 0.733898i
\(307\) −2.74323 + 5.88287i −0.156564 + 0.335753i −0.968906 0.247428i \(-0.920415\pi\)
0.812342 + 0.583181i \(0.198192\pi\)
\(308\) −1.40171 0.981489i −0.0798699 0.0559255i
\(309\) −13.5402 + 30.7724i −0.770275 + 1.75058i
\(310\) −9.68093 3.62003i −0.549840 0.205604i
\(311\) 10.4907 6.05678i 0.594871 0.343449i −0.172150 0.985071i \(-0.555071\pi\)
0.767021 + 0.641622i \(0.221738\pi\)
\(312\) 0.129274 + 5.92467i 0.00731870 + 0.335418i
\(313\) −0.125661 0.0109939i −0.00710279 0.000621414i 0.0836038 0.996499i \(-0.473357\pi\)
−0.0907066 + 0.995878i \(0.528913\pi\)
\(314\) 8.49296 7.12644i 0.479286 0.402168i
\(315\) 15.1992 9.49658i 0.856378 0.535072i
\(316\) −1.44531 2.50334i −0.0813048 0.140824i
\(317\) −8.41187 18.0393i −0.472458 1.01319i −0.987731 0.156163i \(-0.950088\pi\)
0.515274 0.857026i \(-0.327690\pi\)
\(318\) −3.67591 9.45259i −0.206135 0.530075i
\(319\) −3.40097 + 0.599682i −0.190418 + 0.0335758i
\(320\) −2.01820 0.962739i −0.112821 0.0538187i
\(321\) 11.9729 + 16.3290i 0.668264 + 0.911398i
\(322\) 10.5981 10.5981i 0.590607 0.590607i
\(323\) −19.9981 2.77734i −1.11272 0.154536i
\(324\) 7.37238 5.16217i 0.409577 0.286787i
\(325\) 17.0656 1.19186i 0.946627 0.0661127i
\(326\) −0.328339 0.902105i −0.0181850 0.0499630i
\(327\) 16.4793 14.4519i 0.911306 0.799193i
\(328\) −8.26506 + 5.78726i −0.456362 + 0.319548i
\(329\) −0.100044 0.0364131i −0.00551562 0.00200752i
\(330\) −1.21217 + 2.16427i −0.0667278 + 0.119139i
\(331\) −10.9716 + 19.0034i −0.603056 + 1.04452i 0.389300 + 0.921111i \(0.372717\pi\)
−0.992356 + 0.123412i \(0.960616\pi\)
\(332\) 10.4763 + 0.916561i 0.574964 + 0.0503028i
\(333\) 3.97045 + 2.52946i 0.217579 + 0.138613i
\(334\) −10.9326 6.31195i −0.598206 0.345375i
\(335\) −14.5570 + 8.23515i −0.795336 + 0.449934i
\(336\) −2.57088 + 3.84759i −0.140253 + 0.209903i
\(337\) 8.80754 + 12.5785i 0.479778 + 0.685193i 0.983957 0.178406i \(-0.0570939\pi\)
−0.504180 + 0.863599i \(0.668205\pi\)
\(338\) −1.05986 0.742123i −0.0576489 0.0403662i
\(339\) 3.49605 + 31.9224i 0.189880 + 1.73379i
\(340\) 6.72684 7.87543i 0.364814 0.427105i
\(341\) 2.96049i 0.160320i
\(342\) −1.04720 13.0347i −0.0566262 0.704836i
\(343\) −12.9638 12.9638i −0.699977 0.699977i
\(344\) 9.31771 + 7.81849i 0.502377 + 0.421544i
\(345\) −16.8248 13.7477i −0.905819 0.740151i
\(346\) 3.79899 + 21.5452i 0.204235 + 1.15828i
\(347\) −19.5450 + 13.6856i −1.04923 + 0.734679i −0.965128 0.261778i \(-0.915691\pi\)
−0.0841027 + 0.996457i \(0.526802\pi\)
\(348\) 1.82194 + 9.15954i 0.0976663 + 0.491003i
\(349\) 20.3045 11.7228i 1.08687 0.627506i 0.154130 0.988051i \(-0.450742\pi\)
0.932742 + 0.360544i \(0.117409\pi\)
\(350\) 11.4497 + 6.88103i 0.612014 + 0.367807i
\(351\) 0.387855 17.7740i 0.0207022 0.948707i
\(352\) 0.0558223 0.638052i 0.00297534 0.0340083i
\(353\) 8.48791 + 31.6773i 0.451766 + 1.68601i 0.697426 + 0.716657i \(0.254329\pi\)
−0.245660 + 0.969356i \(0.579005\pi\)
\(354\) −0.173669 0.595833i −0.00923041 0.0316682i
\(355\) −2.41987 5.31053i −0.128433 0.281853i
\(356\) 5.15899 + 0.909670i 0.273426 + 0.0482124i
\(357\) −14.1324 16.1149i −0.747965 0.852891i
\(358\) −5.47341 2.55229i −0.289279 0.134893i
\(359\) 6.36513 + 5.34098i 0.335939 + 0.281886i 0.795114 0.606459i \(-0.207411\pi\)
−0.459176 + 0.888345i \(0.651855\pi\)
\(360\) 5.92285 + 3.14957i 0.312162 + 0.165997i
\(361\) −17.1041 8.27339i −0.900217 0.435441i
\(362\) −2.91064 2.91064i −0.152980 0.152980i
\(363\) 18.1286 + 2.79026i 0.951502 + 0.146451i
\(364\) 3.12637 + 8.58964i 0.163866 + 0.450219i
\(365\) 2.09110 + 12.4993i 0.109453 + 0.654241i
\(366\) −4.24024 + 9.63666i −0.221641 + 0.503716i
\(367\) 33.4427 15.5946i 1.74569 0.814030i 0.759072 0.651007i \(-0.225653\pi\)
0.986622 0.163023i \(-0.0521246\pi\)
\(368\) 5.41880 + 1.45196i 0.282475 + 0.0756888i
\(369\) 25.5289 16.2637i 1.32898 0.846653i
\(370\) −0.336466 + 3.49276i −0.0174920 + 0.181580i
\(371\) −10.0559 11.9841i −0.522075 0.622185i
\(372\) −8.00403 + 0.174645i −0.414990 + 0.00905491i
\(373\) −5.27617 + 19.6909i −0.273190 + 1.01956i 0.683855 + 0.729618i \(0.260302\pi\)
−0.957045 + 0.289940i \(0.906365\pi\)
\(374\) 2.78777 + 1.01467i 0.144152 + 0.0524672i
\(375\) 8.26274 17.5136i 0.426686 0.904400i
\(376\) −0.00691981 0.0392442i −0.000356862 0.00202387i
\(377\) 16.7194 + 7.79641i 0.861095 + 0.401535i
\(378\) 8.20880 11.1954i 0.422215 0.575827i
\(379\) 4.35437i 0.223669i −0.993727 0.111835i \(-0.964327\pi\)
0.993727 0.111835i \(-0.0356727\pi\)
\(380\) 8.30242 5.10586i 0.425905 0.261925i
\(381\) −7.72542 + 31.5711i −0.395785 + 1.61744i
\(382\) −2.64130 + 0.231083i −0.135140 + 0.0118233i
\(383\) −3.22520 + 6.91647i −0.164800 + 0.353415i −0.971314 0.237800i \(-0.923574\pi\)
0.806514 + 0.591215i \(0.201352\pi\)
\(384\) −1.72834 0.113282i −0.0881991 0.00578092i
\(385\) −0.697450 + 3.76220i −0.0355453 + 0.191739i
\(386\) −7.30389 + 20.0673i −0.371758 + 1.02140i
\(387\) −26.9034 24.6525i −1.36758 1.25315i
\(388\) −6.13211 + 1.64309i −0.311310 + 0.0834154i
\(389\) 8.63858 7.24863i 0.437993 0.367520i −0.396964 0.917834i \(-0.629936\pi\)
0.834958 + 0.550314i \(0.185492\pi\)
\(390\) 11.9355 5.75637i 0.604378 0.291485i
\(391\) −12.9924 + 22.5035i −0.657054 + 1.13805i
\(392\) −0.0356636 + 0.133098i −0.00180128 + 0.00672248i
\(393\) 0.492480 + 2.47587i 0.0248423 + 0.124891i
\(394\) −17.9451 3.16420i −0.904060 0.159410i
\(395\) −3.75366 + 5.26196i −0.188867 + 0.264758i
\(396\) −0.250804 + 1.90503i −0.0126034 + 0.0957313i
\(397\) −37.9063 + 3.31637i −1.90246 + 0.166444i −0.977120 0.212687i \(-0.931779\pi\)
−0.925343 + 0.379131i \(0.876223\pi\)
\(398\) 6.77599 6.77599i 0.339650 0.339650i
\(399\) −7.99239 18.5196i −0.400120 0.927140i
\(400\) −0.0876925 + 4.99923i −0.00438462 + 0.249962i
\(401\) 13.0841 15.5930i 0.653388 0.778678i −0.333032 0.942915i \(-0.608072\pi\)
0.986421 + 0.164237i \(0.0525163\pi\)
\(402\) −8.10892 + 10.1035i −0.404436 + 0.503916i
\(403\) −9.07089 + 12.9546i −0.451853 + 0.645313i
\(404\) −0.411619 + 2.33441i −0.0204788 + 0.116141i
\(405\) −17.3395 10.2148i −0.861606 0.507577i
\(406\) 7.20263 + 12.4753i 0.357461 + 0.619140i
\(407\) −0.970834 + 0.260134i −0.0481225 + 0.0128944i
\(408\) 2.57882 7.59693i 0.127670 0.376104i
\(409\) −6.77781 8.07747i −0.335141 0.399405i 0.571985 0.820264i \(-0.306173\pi\)
−0.907126 + 0.420858i \(0.861729\pi\)
\(410\) 19.4391 + 11.4516i 0.960028 + 0.565555i
\(411\) −2.72115 9.33586i −0.134224 0.460504i
\(412\) −17.5917 + 8.20314i −0.866680 + 0.404140i
\(413\) −0.549090 0.784182i −0.0270189 0.0385871i
\(414\) −16.0509 5.06085i −0.788860 0.248727i
\(415\) −7.84861 22.1668i −0.385273 1.08813i
\(416\) −2.19925 + 2.62096i −0.107827 + 0.128503i
\(417\) 18.4391 + 30.3868i 0.902967 + 1.48805i
\(418\) 2.20279 + 1.71524i 0.107742 + 0.0838950i
\(419\) 1.97409 0.0964405 0.0482202 0.998837i \(-0.484645\pi\)
0.0482202 + 0.998837i \(0.484645\pi\)
\(420\) 10.2127 + 1.66370i 0.498328 + 0.0811802i
\(421\) −23.9011 + 8.69929i −1.16487 + 0.423977i −0.850834 0.525435i \(-0.823903\pi\)
−0.314034 + 0.949412i \(0.601681\pi\)
\(422\) −8.58201 + 12.2564i −0.417766 + 0.596631i
\(423\) 0.0156041 + 0.118526i 0.000758700 + 0.00576294i
\(424\) 2.00273 5.50245i 0.0972611 0.267223i
\(425\) −22.2618 6.38555i −1.07986 0.309745i
\(426\) −3.26541 3.12595i −0.158210 0.151453i
\(427\) −1.41539 + 16.1779i −0.0684954 + 0.782906i
\(428\) −1.01888 + 11.6458i −0.0492492 + 0.562921i
\(429\) 2.74180 + 2.62470i 0.132375 + 0.126722i
\(430\) 7.26953 26.2087i 0.350568 1.26390i
\(431\) 3.96164 10.8845i 0.190826 0.524289i −0.806974 0.590587i \(-0.798896\pi\)
0.997800 + 0.0662976i \(0.0211187\pi\)
\(432\) 5.16527 + 0.565696i 0.248514 + 0.0272171i
\(433\) −14.7178 + 21.0191i −0.707291 + 1.01012i 0.291279 + 0.956638i \(0.405919\pi\)
−0.998569 + 0.0534773i \(0.982970\pi\)
\(434\) −11.6043 + 4.22362i −0.557025 + 0.202740i
\(435\) 16.9483 12.1999i 0.812609 0.584941i
\(436\) 12.6547 0.606050
\(437\) −18.1456 + 16.3920i −0.868023 + 0.784135i
\(438\) 5.09250 + 8.39219i 0.243329 + 0.400994i
\(439\) −10.3780 + 12.3680i −0.495316 + 0.590295i −0.954561 0.298015i \(-0.903676\pi\)
0.459245 + 0.888310i \(0.348120\pi\)
\(440\) −1.35005 + 0.478013i −0.0643612 + 0.0227884i
\(441\) 0.124306 0.394248i 0.00591934 0.0187737i
\(442\) −9.08988 12.9817i −0.432361 0.617476i
\(443\) 8.13600 3.79388i 0.386553 0.180253i −0.219620 0.975586i \(-0.570482\pi\)
0.606173 + 0.795333i \(0.292704\pi\)
\(444\) 0.760575 + 2.60942i 0.0360953 + 0.123837i
\(445\) −2.93242 11.3408i −0.139010 0.537607i
\(446\) −10.3544 12.3398i −0.490293 0.584309i
\(447\) −3.26544 + 9.61965i −0.154450 + 0.454994i
\(448\) −2.58063 + 0.691478i −0.121923 + 0.0326693i
\(449\) −7.20917 12.4867i −0.340222 0.589282i 0.644252 0.764813i \(-0.277169\pi\)
−0.984474 + 0.175532i \(0.943836\pi\)
\(450\) 0.917031 14.9719i 0.0432293 0.705784i
\(451\) −1.12218 + 6.36422i −0.0528415 + 0.299679i
\(452\) −10.6344 + 15.1876i −0.500202 + 0.714363i
\(453\) 3.31538 4.13088i 0.155770 0.194086i
\(454\) 13.8684 16.5277i 0.650874 0.775682i
\(455\) 14.5792 14.3257i 0.683485 0.671601i
\(456\) 4.50740 6.05668i 0.211078 0.283630i
\(457\) −4.59421 + 4.59421i −0.214908 + 0.214908i −0.806349 0.591441i \(-0.798559\pi\)
0.591441 + 0.806349i \(0.298559\pi\)
\(458\) −1.02140 + 0.0893612i −0.0477270 + 0.00417557i
\(459\) −8.72322 + 22.4316i −0.407165 + 1.04702i
\(460\) −2.06986 12.3723i −0.0965079 0.576861i
\(461\) 20.5498 + 3.62349i 0.957101 + 0.168763i 0.630318 0.776337i \(-0.282924\pi\)
0.326783 + 0.945100i \(0.394036\pi\)
\(462\) 0.578215 + 2.90689i 0.0269010 + 0.135241i
\(463\) 1.36734 5.10297i 0.0635455 0.237155i −0.926847 0.375439i \(-0.877492\pi\)
0.990393 + 0.138284i \(0.0441586\pi\)
\(464\) −2.69593 + 4.66949i −0.125156 + 0.216776i
\(465\) 7.77666 + 16.1245i 0.360634 + 0.747755i
\(466\) −7.58199 + 6.36205i −0.351229 + 0.294716i
\(467\) −32.4321 + 8.69016i −1.50078 + 0.402132i −0.913361 0.407151i \(-0.866522\pi\)
−0.587418 + 0.809284i \(0.699856\pi\)
\(468\) 6.93445 7.56761i 0.320545 0.349813i
\(469\) −6.83462 + 18.7780i −0.315594 + 0.867086i
\(470\) −0.0734371 + 0.0504673i −0.00338740 + 0.00232788i
\(471\) −19.1617 1.25594i −0.882926 0.0578705i
\(472\) 0.151432 0.324748i 0.00697024 0.0149477i
\(473\) 7.76089 0.678990i 0.356846 0.0312200i
\(474\) −1.19002 + 4.86320i −0.0546594 + 0.223374i
\(475\) −18.0872 12.1594i −0.829899 0.557914i
\(476\) 12.3749i 0.567203i
\(477\) −6.72253 + 16.2296i −0.307803 + 0.743101i
\(478\) 21.9886 + 10.2535i 1.00574 + 0.468982i
\(479\) −5.36462 30.4243i −0.245116 1.39012i −0.820224 0.572043i \(-0.806151\pi\)
0.575108 0.818078i \(-0.304960\pi\)
\(480\) 1.37201 + 3.62182i 0.0626232 + 0.165313i
\(481\) 5.04524 + 1.83632i 0.230043 + 0.0837289i
\(482\) 3.99537 14.9109i 0.181984 0.679174i
\(483\) −25.9537 + 0.566299i −1.18093 + 0.0257675i
\(484\) 6.80698 + 8.11224i 0.309408 + 0.368738i
\(485\) 9.02898 + 10.9540i 0.409985 + 0.497395i
\(486\) −15.4070 2.37140i −0.698877 0.107569i
\(487\) −30.4246 8.15225i −1.37867 0.369414i −0.508032 0.861338i \(-0.669627\pi\)
−0.870638 + 0.491924i \(0.836294\pi\)
\(488\) −5.50900 + 2.56889i −0.249381 + 0.116288i
\(489\) −0.669676 + 1.52195i −0.0302838 + 0.0688250i
\(490\) 0.303892 0.0508406i 0.0137284 0.00229675i
\(491\) −6.17562 16.9674i −0.278702 0.765727i −0.997510 0.0705191i \(-0.977534\pi\)
0.718809 0.695208i \(-0.244688\pi\)
\(492\) 17.2726 + 2.65852i 0.778709 + 0.119855i
\(493\) −17.6597 17.6597i −0.795354 0.795354i
\(494\) −4.38355 14.2549i −0.197225 0.641357i
\(495\) 4.10885 1.25600i 0.184679 0.0564532i
\(496\) −3.54083 2.97111i −0.158988 0.133407i
\(497\) −6.31944 2.94680i −0.283466 0.132182i
\(498\) −12.0099 13.6947i −0.538176 0.613673i
\(499\) −8.16034 1.43889i −0.365307 0.0644135i −0.0120182 0.999928i \(-0.503826\pi\)
−0.353289 + 0.935514i \(0.614937\pi\)
\(500\) 10.2536 4.45683i 0.458556 0.199315i
\(501\) 6.11852 + 20.9917i 0.273355 + 0.937841i
\(502\) −3.78208 14.1149i −0.168803 0.629980i
\(503\) 1.99659 22.8211i 0.0890235 1.01754i −0.811967 0.583704i \(-0.801603\pi\)
0.900990 0.433839i \(-0.142841\pi\)
\(504\) 7.82501 1.73476i 0.348554 0.0772721i
\(505\) 5.13164 1.32690i 0.228355 0.0590461i
\(506\) 3.11173 1.79656i 0.138333 0.0798668i
\(507\) 0.437200 + 2.19796i 0.0194167 + 0.0976147i
\(508\) −15.3717 + 10.7634i −0.682009 + 0.477548i
\(509\) −4.96339 28.1488i −0.219998 1.24767i −0.872019 0.489471i \(-0.837190\pi\)
0.652021 0.758201i \(-0.273921\pi\)
\(510\) −17.8491 + 1.79653i −0.790372 + 0.0795515i
\(511\) 11.5992 + 9.73291i 0.513120 + 0.430559i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −14.3019 + 17.5629i −0.631444 + 0.775421i
\(514\) 26.1872i 1.15507i
\(515\) 33.0025 + 28.1892i 1.45426 + 1.24217i
\(516\) −2.29356 20.9424i −0.100968 0.921938i
\(517\) −0.0209074 0.0146395i −0.000919508 0.000643846i
\(518\) 2.40471 + 3.43428i 0.105657 + 0.150894i
\(519\) 21.0522 31.5069i 0.924091 1.38300i
\(520\) 7.37220 + 2.04483i 0.323293 + 0.0896719i
\(521\) −6.96917 4.02365i −0.305325 0.176279i 0.339508 0.940603i \(-0.389740\pi\)
−0.644832 + 0.764324i \(0.723073\pi\)
\(522\) 8.69116 13.6424i 0.380402 0.597110i
\(523\) −3.20176 0.280118i −0.140003 0.0122487i 0.0169387 0.999857i \(-0.494608\pi\)
−0.156942 + 0.987608i \(0.550164\pi\)
\(524\) −0.728724 + 1.26219i −0.0318344 + 0.0551389i
\(525\) −6.08390 22.3231i −0.265523 0.974260i
\(526\) 25.8638 + 9.41366i 1.12772 + 0.410455i
\(527\) 17.5378 12.2801i 0.763960 0.534930i
\(528\) −0.834062 + 0.731452i −0.0362979 + 0.0318323i
\(529\) 2.89746 + 7.96071i 0.125977 + 0.346118i
\(530\) −13.0532 + 1.02674i −0.566994 + 0.0445988i
\(531\) −0.496361 + 0.953499i −0.0215402 + 0.0413783i
\(532\) 3.58062 11.0814i 0.155240 0.480439i
\(533\) 24.4103 24.4103i 1.05733 1.05733i
\(534\) −5.36524 7.31726i −0.232176 0.316649i
\(535\) 24.6413 8.72474i 1.06534 0.377203i
\(536\) −7.36601 + 1.29883i −0.318163 + 0.0561008i
\(537\) 3.79119 + 9.74905i 0.163602 + 0.420703i
\(538\) 11.8550 + 25.4232i 0.511107 + 1.09607i
\(539\) 0.0441276 + 0.0764313i 0.00190071 + 0.00329213i
\(540\) −3.63814 11.0347i −0.156561 0.474857i
\(541\) 8.39469 7.04398i 0.360916 0.302844i −0.444240 0.895908i \(-0.646526\pi\)
0.805156 + 0.593064i \(0.202082\pi\)
\(542\) −22.6873 1.98489i −0.974505 0.0852581i
\(543\) 0.155527 + 7.12787i 0.00667432 + 0.305886i
\(544\) 4.01135 2.31595i 0.171985 0.0992957i
\(545\) −11.7334 25.7495i −0.502602 1.10299i
\(546\) 6.37650 14.4917i 0.272889 0.620186i
\(547\) 29.6063 + 20.7306i 1.26588 + 0.886376i 0.997046 0.0768117i \(-0.0244740\pi\)
0.268830 + 0.963188i \(0.413363\pi\)
\(548\) 2.37273 5.08833i 0.101358 0.217363i
\(549\) 16.8474 6.97842i 0.719031 0.297832i
\(550\) 2.22441 + 2.30384i 0.0948491 + 0.0982360i
\(551\) −10.7040 20.9236i −0.456008 0.891374i
\(552\) −5.04078 8.30695i −0.214550 0.353567i
\(553\) 0.673081 + 7.69335i 0.0286223 + 0.327155i
\(554\) −6.82621 + 2.48454i −0.290018 + 0.105558i
\(555\) 4.60438 3.96704i 0.195445 0.168391i
\(556\) −3.56346 + 20.2094i −0.151125 + 0.857070i
\(557\) −0.642872 1.37864i −0.0272394 0.0584150i 0.892217 0.451606i \(-0.149149\pi\)
−0.919457 + 0.393191i \(0.871371\pi\)
\(558\) 10.2236 + 9.36821i 0.432799 + 0.396588i
\(559\) −36.0407 20.8081i −1.52436 0.880088i
\(560\) 3.79975 + 4.60987i 0.160569 + 0.194802i
\(561\) −2.27268 4.60854i −0.0959525 0.194573i
\(562\) −2.31402 8.63603i −0.0976109 0.364289i
\(563\) 8.28769 + 2.22068i 0.349285 + 0.0935905i 0.429196 0.903211i \(-0.358797\pi\)
−0.0799112 + 0.996802i \(0.525464\pi\)
\(564\) −0.0383464 + 0.0573893i −0.00161467 + 0.00241653i
\(565\) 40.7635 + 7.55688i 1.71493 + 0.317920i
\(566\) 15.6780 2.76446i 0.658997 0.116199i
\(567\) −23.6797 + 4.17532i −0.994454 + 0.175347i
\(568\) −0.227466 2.59995i −0.00954428 0.109092i
\(569\) 47.0679 1.97319 0.986594 0.163194i \(-0.0521795\pi\)
0.986594 + 0.163194i \(0.0521795\pi\)
\(570\) −16.5032 3.55582i −0.691244 0.148937i
\(571\) −8.47732 −0.354765 −0.177382 0.984142i \(-0.556763\pi\)
−0.177382 + 0.984142i \(0.556763\pi\)
\(572\) 0.190992 + 2.18305i 0.00798577 + 0.0912778i
\(573\) 3.58149 + 2.87445i 0.149619 + 0.120082i
\(574\) 26.5470 4.68095i 1.10805 0.195379i
\(575\) −23.2557 + 15.6832i −0.969829 + 0.654036i
\(576\) 2.02677 + 2.21183i 0.0844487 + 0.0921597i
\(577\) −22.3438 5.98701i −0.930186 0.249243i −0.238252 0.971203i \(-0.576574\pi\)
−0.691934 + 0.721961i \(0.743241\pi\)
\(578\) 1.15292 + 4.30277i 0.0479553 + 0.178972i
\(579\) 33.1737 16.3594i 1.37865 0.679875i
\(580\) 12.0010 + 1.15609i 0.498315 + 0.0480040i
\(581\) −24.3320 14.0481i −1.00946 0.582813i
\(582\) 9.64030 + 5.28886i 0.399603 + 0.219230i
\(583\) −1.58501 3.39906i −0.0656442 0.140774i
\(584\) −0.984155 + 5.58142i −0.0407246 + 0.230961i
\(585\) −21.8280 7.09340i −0.902476 0.293276i
\(586\) −7.53695 + 2.74323i −0.311349 + 0.113322i
\(587\) 3.78213 + 43.2300i 0.156105 + 1.78429i 0.521312 + 0.853366i \(0.325443\pi\)
−0.365207 + 0.930926i \(0.619002\pi\)
\(588\) 0.204038 0.123813i 0.00841438 0.00510596i
\(589\) 19.2579 5.92203i 0.793506 0.244013i
\(590\) −0.801195 0.00702642i −0.0329847 0.000289273i
\(591\) 18.6625 + 25.4524i 0.767671 + 1.04697i
\(592\) −0.663189 + 1.42221i −0.0272569 + 0.0584526i
\(593\) 4.72463 + 3.30822i 0.194017 + 0.135852i 0.666549 0.745461i \(-0.267771\pi\)
−0.472532 + 0.881314i \(0.656660\pi\)
\(594\) 2.59552 2.08312i 0.106496 0.0854715i
\(595\) −25.1801 + 11.4739i −1.03229 + 0.470386i
\(596\) −5.07939 + 2.93259i −0.208060 + 0.120123i
\(597\) −16.5938 + 0.362069i −0.679137 + 0.0148185i
\(598\) −19.1210 1.67287i −0.781916 0.0684088i
\(599\) −33.4075 + 28.0322i −1.36499 + 1.14536i −0.390587 + 0.920566i \(0.627728\pi\)
−0.974405 + 0.224798i \(0.927828\pi\)
\(600\) 6.09748 6.14986i 0.248929 0.251067i
\(601\) −0.843679 1.46130i −0.0344144 0.0596075i 0.848305 0.529508i \(-0.177623\pi\)
−0.882720 + 0.469900i \(0.844290\pi\)
\(602\) −13.7336 29.4519i −0.559741 1.20037i
\(603\) 22.2470 2.92885i 0.905966 0.119272i
\(604\) 3.01164 0.531033i 0.122542 0.0216074i
\(605\) 10.1952 21.3723i 0.414493 0.868907i
\(606\) 3.31101 2.42773i 0.134501 0.0986198i
\(607\) 11.1885 11.1885i 0.454127 0.454127i −0.442595 0.896722i \(-0.645942\pi\)
0.896722 + 0.442595i \(0.145942\pi\)
\(608\) 4.26217 0.913208i 0.172854 0.0370355i
\(609\) 5.93043 24.2356i 0.240313 0.982076i
\(610\) 10.3350 + 8.82772i 0.418453 + 0.357424i
\(611\) 0.0466319 + 0.128120i 0.00188652 + 0.00518318i
\(612\) −12.3257 + 6.41632i −0.498235 + 0.259364i
\(613\) 36.6074 25.6328i 1.47856 1.03530i 0.492236 0.870462i \(-0.336180\pi\)
0.986321 0.164835i \(-0.0527093\pi\)
\(614\) 6.09957 + 2.22006i 0.246159 + 0.0895944i
\(615\) −10.6056 37.6108i −0.427658 1.51662i
\(616\) −0.855587 + 1.48192i −0.0344726 + 0.0597082i
\(617\) −23.1611 2.02634i −0.932433 0.0815773i −0.389194 0.921156i \(-0.627246\pi\)
−0.543238 + 0.839578i \(0.682802\pi\)
\(618\) 31.8354 + 10.8067i 1.28061 + 0.434708i
\(619\) 17.0986 + 9.87187i 0.687250 + 0.396784i 0.802581 0.596543i \(-0.203460\pi\)
−0.115331 + 0.993327i \(0.536793\pi\)
\(620\) −2.76250 + 9.95960i −0.110945 + 0.399987i
\(621\) 14.0209 + 25.5568i 0.562638 + 1.02556i
\(622\) −6.94806 9.92286i −0.278592 0.397870i
\(623\) −11.4646 8.02762i −0.459321 0.321620i
\(624\) 5.89086 0.645151i 0.235823 0.0258267i
\(625\) −18.5757 16.7315i −0.743030 0.669259i
\(626\) 0.126141i 0.00504162i
\(627\) −0.701661 4.78441i −0.0280217 0.191071i
\(628\) −7.83953 7.83953i −0.312831 0.312831i
\(629\) −5.56805 4.67215i −0.222013 0.186291i
\(630\) −10.7851 14.3137i −0.429690 0.570271i
\(631\) −4.07434 23.1067i −0.162197 0.919865i −0.951908 0.306385i \(-0.900880\pi\)
0.789711 0.613480i \(-0.210231\pi\)
\(632\) −2.36785 + 1.65799i −0.0941880 + 0.0659511i
\(633\) 25.4175 5.05584i 1.01025 0.200951i
\(634\) −17.2375 + 9.95209i −0.684589 + 0.395248i
\(635\) 36.1536 + 21.2982i 1.43471 + 0.845193i
\(636\) −9.09624 + 4.48577i −0.360690 + 0.177872i
\(637\) 0.0410896 0.469656i 0.00162803 0.0186084i
\(638\) 0.893814 + 3.33576i 0.0353865 + 0.132064i
\(639\) 0.341517 + 7.82220i 0.0135102 + 0.309441i
\(640\) −0.783178 + 2.09443i −0.0309578 + 0.0827896i
\(641\) −0.885068 0.156061i −0.0349581 0.00616405i 0.156142 0.987735i \(-0.450094\pi\)
−0.191100 + 0.981571i \(0.561205\pi\)
\(642\) 15.2234 13.3505i 0.600819 0.526904i
\(643\) 0.656777 + 0.306260i 0.0259008 + 0.0120777i 0.435525 0.900176i \(-0.356563\pi\)
−0.409625 + 0.912254i \(0.634340\pi\)
\(644\) −11.4814 9.63405i −0.452431 0.379635i
\(645\) −40.4865 + 24.0846i −1.59416 + 0.948329i
\(646\) −1.02383 + 20.1640i −0.0402820 + 0.793343i
\(647\) −12.2160 12.2160i −0.480260 0.480260i 0.424955 0.905215i \(-0.360290\pi\)
−0.905215 + 0.424955i \(0.860290\pi\)
\(648\) −5.78508 6.89441i −0.227259 0.270838i
\(649\) −0.0784935 0.215659i −0.00308114 0.00846536i
\(650\) −2.67469 16.8967i −0.104910 0.662745i
\(651\) 19.5778 + 8.61443i 0.767313 + 0.337626i
\(652\) −0.870056 + 0.405714i −0.0340740 + 0.0158890i
\(653\) −25.0915 6.72325i −0.981907 0.263101i −0.268060 0.963402i \(-0.586382\pi\)
−0.713848 + 0.700301i \(0.753049\pi\)
\(654\) −15.8332 15.1570i −0.619127 0.592685i
\(655\) 3.24393 + 0.312496i 0.126751 + 0.0122102i
\(656\) 6.48558 + 7.72922i 0.253219 + 0.301775i
\(657\) 3.68005 16.5995i 0.143572 0.647610i
\(658\) −0.0275551 + 0.102837i −0.00107421 + 0.00400901i
\(659\) 26.3645 + 9.59589i 1.02701 + 0.373803i 0.799944 0.600075i \(-0.204863\pi\)
0.227071 + 0.973878i \(0.427085\pi\)
\(660\) 2.26168 + 1.01893i 0.0880357 + 0.0396618i
\(661\) 2.70498 + 15.3407i 0.105211 + 0.596684i 0.991136 + 0.132854i \(0.0424141\pi\)
−0.885924 + 0.463830i \(0.846475\pi\)
\(662\) 19.8874 + 9.27363i 0.772944 + 0.360430i
\(663\) −4.17566 + 27.1296i −0.162169 + 1.05363i
\(664\) 10.5164i 0.408114i
\(665\) −25.8681 + 2.98885i −1.00312 + 0.115902i
\(666\) 2.17379 4.17579i 0.0842325 0.161809i
\(667\) −30.1330 + 2.63630i −1.16676 + 0.102078i
\(668\) −5.33509 + 11.4411i −0.206421 + 0.442671i
\(669\) −1.82481 + 27.8410i −0.0705513 + 1.07640i
\(670\) 9.47254 + 13.7839i 0.365956 + 0.532519i
\(671\) −1.33156 + 3.65843i −0.0514043 + 0.141232i
\(672\) 4.05702 + 2.22576i 0.156503 + 0.0858605i
\(673\) −28.0156 + 7.50676i −1.07992 + 0.289365i −0.754564 0.656226i \(-0.772152\pi\)
−0.325359 + 0.945591i \(0.605485\pi\)
\(674\) 11.7630 9.87032i 0.453093 0.380190i
\(675\) −19.0798 + 17.6341i −0.734382 + 0.678736i
\(676\) −0.646926 + 1.12051i −0.0248818 + 0.0430965i
\(677\) 11.7680 43.9189i 0.452283 1.68794i −0.243673 0.969857i \(-0.578352\pi\)
0.695956 0.718084i \(-0.254981\pi\)
\(678\) 31.4962 6.26497i 1.20960 0.240605i
\(679\) 16.7032 + 2.94522i 0.641009 + 0.113027i
\(680\) −8.43175 6.01485i −0.323343 0.230659i
\(681\) −37.1475 + 4.06829i −1.42349 + 0.155897i
\(682\) −2.94922 + 0.258024i −0.112932 + 0.00988024i
\(683\) 0.498411 0.498411i 0.0190712 0.0190712i −0.697507 0.716578i \(-0.745707\pi\)
0.716578 + 0.697507i \(0.245707\pi\)
\(684\) −12.8938 + 2.17927i −0.493008 + 0.0833263i
\(685\) −12.5536 0.110094i −0.479648 0.00420648i
\(686\) −11.7846 + 14.0443i −0.449936 + 0.536213i
\(687\) 1.38498 + 1.11157i 0.0528403 + 0.0424089i
\(688\) 6.97664 9.96368i 0.265982 0.379862i
\(689\) −3.47895 + 19.7301i −0.132537 + 0.751656i
\(690\) −12.2290 + 17.9590i −0.465550 + 0.683688i
\(691\) −2.66801 4.62113i −0.101496 0.175796i 0.810805 0.585316i \(-0.199030\pi\)
−0.912301 + 0.409520i \(0.865696\pi\)
\(692\) 21.1321 5.66232i 0.803321 0.215249i
\(693\) 2.75824 4.32956i 0.104777 0.164467i
\(694\) 15.3369 + 18.2779i 0.582182 + 0.693818i
\(695\) 44.4256 11.4872i 1.68516 0.435735i
\(696\) 8.96589 2.61332i 0.339851 0.0990575i
\(697\) −42.3562 + 19.7510i −1.60436 + 0.748123i
\(698\) −13.4478 19.2055i −0.509008 0.726938i
\(699\) 17.1064 + 1.12122i 0.647024 + 0.0424085i
\(700\) 5.85694 12.0059i 0.221371 0.453780i
\(701\) −30.7542 + 36.6514i −1.16157 + 1.38430i −0.252533 + 0.967588i \(0.581264\pi\)
−0.909037 + 0.416716i \(0.863181\pi\)
\(702\) −17.7402 + 1.16273i −0.669560 + 0.0438843i
\(703\) −3.63417 5.79487i −0.137065 0.218558i
\(704\) −0.640489 −0.0241394
\(705\) 0.152329 + 0.0248151i 0.00573704 + 0.000934592i
\(706\) 30.8170 11.2165i 1.15981 0.422137i
\(707\) 3.63244 5.18766i 0.136612 0.195102i
\(708\) −0.578430 + 0.224939i −0.0217387 + 0.00845371i
\(709\) −1.38043 + 3.79269i −0.0518430 + 0.142437i −0.962911 0.269818i \(-0.913037\pi\)
0.911068 + 0.412255i \(0.135259\pi\)
\(710\) −5.07941 + 2.87350i −0.190627 + 0.107841i
\(711\) 7.31375 4.65936i 0.274287 0.174740i
\(712\) 0.456572 5.21864i 0.0171108 0.195577i
\(713\) 2.25999 25.8318i 0.0846374 0.967410i
\(714\) −14.8219 + 15.4831i −0.554695 + 0.579441i
\(715\) 4.26492 2.41274i 0.159499 0.0902312i
\(716\) −2.06554 + 5.67503i −0.0771929 + 0.212086i
\(717\) −15.2306 39.1654i −0.568795 1.46266i
\(718\) 4.76590 6.80641i 0.177862 0.254013i
\(719\) −11.1018 + 4.04072i −0.414027 + 0.150693i −0.540631 0.841260i \(-0.681814\pi\)
0.126604 + 0.991953i \(0.459592\pi\)
\(720\) 2.62138 6.17482i 0.0976929 0.230122i
\(721\) 51.8578 1.93128
\(722\) −6.75118 + 17.7601i −0.251253 + 0.660963i
\(723\) −22.8582 + 13.8707i −0.850107 + 0.515857i
\(724\) −2.64588 + 3.15324i −0.0983334 + 0.117189i
\(725\) −8.77491 25.4913i −0.325892 0.946723i
\(726\) 1.19963 18.3028i 0.0445226 0.679279i
\(727\) −17.9661 25.6583i −0.666326 0.951613i −0.999960 0.00890996i \(-0.997164\pi\)
0.333634 0.942703i \(-0.391725\pi\)
\(728\) 8.28447 3.86311i 0.307043 0.143176i
\(729\) 16.4365 + 21.4206i 0.608759 + 0.793355i
\(730\) 12.2694 3.17253i 0.454112 0.117421i
\(731\) 36.2145 + 43.1587i 1.33944 + 1.59628i
\(732\) 9.96955 + 3.38421i 0.368485 + 0.125084i
\(733\) 46.8288 12.5477i 1.72966 0.463461i 0.749555 0.661942i \(-0.230268\pi\)
0.980105 + 0.198481i \(0.0636009\pi\)
\(734\) −18.4500 31.9563i −0.681000 1.17953i
\(735\) −0.441114 0.300372i −0.0162708 0.0110794i
\(736\) 0.974159 5.52473i 0.0359080 0.203644i
\(737\) −2.74779 + 3.92426i −0.101216 + 0.144552i
\(738\) −18.4268 24.0143i −0.678299 0.883978i
\(739\) −16.6962 + 19.8977i −0.614179 + 0.731950i −0.980058 0.198713i \(-0.936324\pi\)
0.365879 + 0.930662i \(0.380768\pi\)
\(740\) 3.50879 + 0.0307718i 0.128986 + 0.00113119i
\(741\) −11.5890 + 23.0856i −0.425733 + 0.848071i
\(742\) −11.0621 + 11.0621i −0.406102 + 0.406102i
\(743\) 18.0514 1.57929i 0.662241 0.0579386i 0.248920 0.968524i \(-0.419924\pi\)
0.413321 + 0.910585i \(0.364369\pi\)
\(744\) 0.871578 + 7.95835i 0.0319536 + 0.291767i
\(745\) 10.6767 + 7.61634i 0.391165 + 0.279041i
\(746\) 20.0758 + 3.53991i 0.735029 + 0.129605i
\(747\) −1.37618 + 31.5191i −0.0503518 + 1.15322i
\(748\) 0.767835 2.86560i 0.0280748 0.104777i
\(749\) 15.6163 27.0482i 0.570606 0.988318i
\(750\) −18.1671 6.70488i −0.663370 0.244828i
\(751\) −28.1703 + 23.6377i −1.02795 + 0.862552i −0.990606 0.136750i \(-0.956334\pi\)
−0.0373441 + 0.999302i \(0.511890\pi\)
\(752\) −0.0384918 + 0.0103138i −0.00140365 + 0.000376107i
\(753\) −12.1739 + 22.1901i −0.443643 + 0.808653i
\(754\) 6.30954 17.3353i 0.229780 0.631315i
\(755\) −3.87291 5.63564i −0.140950 0.205102i
\(756\) −11.8682 7.20182i −0.431642 0.261928i
\(757\) 7.06515 15.1513i 0.256787 0.550682i −0.735077 0.677984i \(-0.762854\pi\)
0.991864 + 0.127302i \(0.0406318\pi\)
\(758\) −4.33780 + 0.379509i −0.157556 + 0.0137844i
\(759\) −6.04511 1.47923i −0.219424 0.0536927i
\(760\) −5.81003 7.82583i −0.210752 0.283873i
\(761\) 34.6216i 1.25503i 0.778604 + 0.627515i \(0.215928\pi\)
−0.778604 + 0.627515i \(0.784072\pi\)
\(762\) 32.1243 + 4.94442i 1.16374 + 0.179117i
\(763\) −30.6415 14.2883i −1.10930 0.517273i
\(764\) 0.460408 + 2.61110i 0.0166570 + 0.0944665i
\(765\) 24.4840 + 19.1308i 0.885223 + 0.691674i
\(766\) 7.17124 + 2.61012i 0.259108 + 0.0943074i
\(767\) −0.317302 + 1.18419i −0.0114571 + 0.0427586i
\(768\) 0.0377837 + 1.73164i 0.00136340 + 0.0624851i
\(769\) 15.5956 + 18.5862i 0.562393 + 0.670234i 0.970051 0.242901i \(-0.0780990\pi\)
−0.407658 + 0.913135i \(0.633655\pi\)
\(770\) 3.80867 + 0.366899i 0.137255 + 0.0132221i
\(771\) −31.3654 + 32.7647i −1.12960 + 1.17999i
\(772\) 20.6275 + 5.52712i 0.742399 + 0.198925i
\(773\) −3.86550 + 1.80251i −0.139032 + 0.0648318i −0.490889