Properties

Label 189.2.bd.a.47.17
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.17
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.65422 + 0.291684i) q^{2} +(-0.549790 + 1.64248i) q^{3} +(0.771989 + 0.280981i) q^{4} +(3.52188 + 1.28186i) q^{5} +(-1.38856 + 2.55666i) q^{6} +(-2.17331 - 1.50888i) q^{7} +(-1.71431 - 0.989760i) q^{8} +(-2.39546 - 1.80604i) q^{9} +O(q^{10})\) \(q+(1.65422 + 0.291684i) q^{2} +(-0.549790 + 1.64248i) q^{3} +(0.771989 + 0.280981i) q^{4} +(3.52188 + 1.28186i) q^{5} +(-1.38856 + 2.55666i) q^{6} +(-2.17331 - 1.50888i) q^{7} +(-1.71431 - 0.989760i) q^{8} +(-2.39546 - 1.80604i) q^{9} +(5.45209 + 3.14776i) q^{10} +(1.63515 + 4.49253i) q^{11} +(-0.885937 + 1.11349i) q^{12} +(1.10865 - 3.04598i) q^{13} +(-3.15503 - 3.12994i) q^{14} +(-4.04173 + 5.07986i) q^{15} +(-3.80582 - 3.19347i) q^{16} +(1.93415 - 3.35005i) q^{17} +(-3.43584 - 3.68630i) q^{18} +(-1.31749 + 0.760652i) q^{19} +(2.35868 + 1.97917i) q^{20} +(3.67316 - 2.74005i) q^{21} +(1.39450 + 7.90859i) q^{22} +(-0.358638 + 0.0632375i) q^{23} +(2.56817 - 2.27156i) q^{24} +(6.93028 + 5.81520i) q^{25} +(2.72242 - 4.71536i) q^{26} +(4.28337 - 2.94155i) q^{27} +(-1.25381 - 1.77550i) q^{28} +(-2.29492 - 6.30525i) q^{29} +(-8.16763 + 7.22431i) q^{30} +(-0.240377 + 0.660432i) q^{31} +(-2.81938 - 3.36000i) q^{32} +(-8.27786 + 0.215742i) q^{33} +(4.17668 - 4.97757i) q^{34} +(-5.71999 - 8.09998i) q^{35} +(-1.34181 - 2.06732i) q^{36} -5.50394 q^{37} +(-2.40129 + 0.873998i) q^{38} +(4.39343 + 3.49558i) q^{39} +(-4.76888 - 5.68333i) q^{40} +(-0.793900 - 0.288956i) q^{41} +(6.87546 - 3.46125i) q^{42} +(0.0136704 - 0.0775288i) q^{43} +3.92763i q^{44} +(-6.12145 - 9.43130i) q^{45} -0.611712 q^{46} +(3.34124 - 1.21611i) q^{47} +(7.33760 - 4.49524i) q^{48} +(2.44658 + 6.55852i) q^{49} +(9.76803 + 11.6411i) q^{50} +(4.43900 + 5.01863i) q^{51} +(1.71173 - 2.03996i) q^{52} +(-7.25668 + 4.18964i) q^{53} +(7.94366 - 3.61659i) q^{54} +17.9182i q^{55} +(2.23232 + 4.73775i) q^{56} +(-0.525011 - 2.58214i) q^{57} +(-1.95717 - 11.0997i) q^{58} +(1.11005 - 0.931445i) q^{59} +(-4.54752 + 2.78595i) q^{60} +(0.979516 + 2.69120i) q^{61} +(-0.590275 + 1.02239i) q^{62} +(2.48100 + 7.53954i) q^{63} +(1.28433 + 2.22452i) q^{64} +(7.80906 - 9.30647i) q^{65} +(-13.7564 - 2.05764i) q^{66} +(0.702586 + 3.98456i) q^{67} +(2.43445 - 2.04274i) q^{68} +(0.0933094 - 0.623821i) q^{69} +(-7.09950 - 15.0676i) q^{70} +(-14.1956 + 8.19580i) q^{71} +(2.31903 + 5.46704i) q^{72} +12.0494i q^{73} +(-9.10474 - 1.60541i) q^{74} +(-13.3615 + 8.18569i) q^{75} +(-1.23082 + 0.217026i) q^{76} +(3.22498 - 12.2309i) q^{77} +(6.24812 + 7.06396i) q^{78} +(0.228017 - 1.29315i) q^{79} +(-9.31009 - 16.1256i) q^{80} +(2.47647 + 8.65258i) q^{81} +(-1.22900 - 0.709566i) q^{82} +(12.7610 - 4.64462i) q^{83} +(3.60555 - 1.08320i) q^{84} +(11.1062 - 9.31918i) q^{85} +(0.0452278 - 0.124262i) q^{86} +(11.6180 - 0.302793i) q^{87} +(1.64337 - 9.32000i) q^{88} +(4.36439 + 7.55934i) q^{89} +(-7.37529 - 17.3870i) q^{90} +(-7.00545 + 4.94706i) q^{91} +(-0.294633 - 0.0519517i) q^{92} +(-0.952586 - 0.757913i) q^{93} +(5.88187 - 1.03713i) q^{94} +(-5.61509 + 0.990092i) q^{95} +(7.06880 - 2.78347i) q^{96} +(4.18960 + 0.738740i) q^{97} +(2.13418 + 11.5629i) q^{98} +(4.19674 - 13.7148i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.65422 + 0.291684i 1.16971 + 0.206252i 0.724566 0.689206i \(-0.242040\pi\)
0.445147 + 0.895458i \(0.353152\pi\)
\(3\) −0.549790 + 1.64248i −0.317422 + 0.948285i
\(4\) 0.771989 + 0.280981i 0.385995 + 0.140491i
\(5\) 3.52188 + 1.28186i 1.57503 + 0.573266i 0.974117 0.226045i \(-0.0725796\pi\)
0.600918 + 0.799311i \(0.294802\pi\)
\(6\) −1.38856 + 2.55666i −0.566877 + 1.04375i
\(7\) −2.17331 1.50888i −0.821435 0.570302i
\(8\) −1.71431 0.989760i −0.606101 0.349933i
\(9\) −2.39546 1.80604i −0.798487 0.602012i
\(10\) 5.45209 + 3.14776i 1.72410 + 0.995410i
\(11\) 1.63515 + 4.49253i 0.493015 + 1.35455i 0.897908 + 0.440184i \(0.145087\pi\)
−0.404893 + 0.914364i \(0.632691\pi\)
\(12\) −0.885937 + 1.11349i −0.255748 + 0.321438i
\(13\) 1.10865 3.04598i 0.307483 0.844804i −0.685662 0.727920i \(-0.740487\pi\)
0.993146 0.116884i \(-0.0372905\pi\)
\(14\) −3.15503 3.12994i −0.843217 0.836512i
\(15\) −4.04173 + 5.07986i −1.04357 + 1.31161i
\(16\) −3.80582 3.19347i −0.951456 0.798366i
\(17\) 1.93415 3.35005i 0.469101 0.812507i −0.530275 0.847826i \(-0.677911\pi\)
0.999376 + 0.0353188i \(0.0112446\pi\)
\(18\) −3.43584 3.68630i −0.809834 0.868870i
\(19\) −1.31749 + 0.760652i −0.302252 + 0.174506i −0.643454 0.765485i \(-0.722499\pi\)
0.341202 + 0.939990i \(0.389166\pi\)
\(20\) 2.35868 + 1.97917i 0.527417 + 0.442555i
\(21\) 3.67316 2.74005i 0.801550 0.597928i
\(22\) 1.39450 + 7.90859i 0.297308 + 1.68612i
\(23\) −0.358638 + 0.0632375i −0.0747811 + 0.0131859i −0.210914 0.977505i \(-0.567644\pi\)
0.136132 + 0.990691i \(0.456533\pi\)
\(24\) 2.56817 2.27156i 0.524226 0.463680i
\(25\) 6.93028 + 5.81520i 1.38606 + 1.16304i
\(26\) 2.72242 4.71536i 0.533910 0.924758i
\(27\) 4.28337 2.94155i 0.824336 0.566101i
\(28\) −1.25381 1.77550i −0.236948 0.335537i
\(29\) −2.29492 6.30525i −0.426157 1.17086i −0.948127 0.317892i \(-0.897025\pi\)
0.521970 0.852964i \(-0.325197\pi\)
\(30\) −8.16763 + 7.22431i −1.49120 + 1.31897i
\(31\) −0.240377 + 0.660432i −0.0431731 + 0.118617i −0.959406 0.282030i \(-0.908992\pi\)
0.916233 + 0.400647i \(0.131215\pi\)
\(32\) −2.81938 3.36000i −0.498400 0.593970i
\(33\) −8.27786 + 0.215742i −1.44099 + 0.0375559i
\(34\) 4.17668 4.97757i 0.716294 0.853647i
\(35\) −5.71999 8.09998i −0.966855 1.36915i
\(36\) −1.34181 2.06732i −0.223635 0.344553i
\(37\) −5.50394 −0.904841 −0.452421 0.891805i \(-0.649439\pi\)
−0.452421 + 0.891805i \(0.649439\pi\)
\(38\) −2.40129 + 0.873998i −0.389541 + 0.141781i
\(39\) 4.39343 + 3.49558i 0.703512 + 0.559741i
\(40\) −4.76888 5.68333i −0.754026 0.898614i
\(41\) −0.793900 0.288956i −0.123986 0.0451273i 0.279282 0.960209i \(-0.409904\pi\)
−0.403268 + 0.915082i \(0.632126\pi\)
\(42\) 6.87546 3.46125i 1.06091 0.534083i
\(43\) 0.0136704 0.0775288i 0.00208472 0.0118230i −0.983748 0.179557i \(-0.942534\pi\)
0.985832 + 0.167734i \(0.0536448\pi\)
\(44\) 3.92763i 0.592112i
\(45\) −6.12145 9.43130i −0.912532 1.40594i
\(46\) −0.611712 −0.0901920
\(47\) 3.34124 1.21611i 0.487369 0.177388i −0.0866351 0.996240i \(-0.527611\pi\)
0.574004 + 0.818852i \(0.305389\pi\)
\(48\) 7.33760 4.49524i 1.05909 0.648832i
\(49\) 2.44658 + 6.55852i 0.349512 + 0.936932i
\(50\) 9.76803 + 11.6411i 1.38141 + 1.64630i
\(51\) 4.43900 + 5.01863i 0.621585 + 0.702749i
\(52\) 1.71173 2.03996i 0.237374 0.282891i
\(53\) −7.25668 + 4.18964i −0.996781 + 0.575492i −0.907294 0.420496i \(-0.861856\pi\)
−0.0894868 + 0.995988i \(0.528523\pi\)
\(54\) 7.94366 3.61659i 1.08100 0.492155i
\(55\) 17.9182i 2.41609i
\(56\) 2.23232 + 4.73775i 0.298306 + 0.633108i
\(57\) −0.525011 2.58214i −0.0695394 0.342013i
\(58\) −1.95717 11.0997i −0.256989 1.45746i
\(59\) 1.11005 0.931445i 0.144517 0.121264i −0.567663 0.823261i \(-0.692152\pi\)
0.712180 + 0.701997i \(0.247708\pi\)
\(60\) −4.54752 + 2.78595i −0.587082 + 0.359665i
\(61\) 0.979516 + 2.69120i 0.125414 + 0.344573i 0.986471 0.163936i \(-0.0524191\pi\)
−0.861057 + 0.508509i \(0.830197\pi\)
\(62\) −0.590275 + 1.02239i −0.0749650 + 0.129843i
\(63\) 2.48100 + 7.53954i 0.312577 + 0.949892i
\(64\) 1.28433 + 2.22452i 0.160541 + 0.278066i
\(65\) 7.80906 9.30647i 0.968594 1.15433i
\(66\) −13.7564 2.05764i −1.69329 0.253277i
\(67\) 0.702586 + 3.98456i 0.0858345 + 0.486792i 0.997173 + 0.0751348i \(0.0239387\pi\)
−0.911339 + 0.411657i \(0.864950\pi\)
\(68\) 2.43445 2.04274i 0.295220 0.247719i
\(69\) 0.0933094 0.623821i 0.0112331 0.0750993i
\(70\) −7.09950 15.0676i −0.848553 1.80092i
\(71\) −14.1956 + 8.19580i −1.68470 + 0.972663i −0.726240 + 0.687441i \(0.758734\pi\)
−0.958461 + 0.285222i \(0.907933\pi\)
\(72\) 2.31903 + 5.46704i 0.273300 + 0.644297i
\(73\) 12.0494i 1.41027i 0.709072 + 0.705136i \(0.249114\pi\)
−0.709072 + 0.705136i \(0.750886\pi\)
\(74\) −9.10474 1.60541i −1.05840 0.186625i
\(75\) −13.3615 + 8.18569i −1.54286 + 0.945202i
\(76\) −1.23082 + 0.217026i −0.141184 + 0.0248946i
\(77\) 3.22498 12.2309i 0.367521 1.39384i
\(78\) 6.24812 + 7.06396i 0.707460 + 0.799836i
\(79\) 0.228017 1.29315i 0.0256539 0.145491i −0.969290 0.245919i \(-0.920910\pi\)
0.994944 + 0.100428i \(0.0320214\pi\)
\(80\) −9.31009 16.1256i −1.04090 1.80289i
\(81\) 2.47647 + 8.65258i 0.275163 + 0.961398i
\(82\) −1.22900 0.709566i −0.135721 0.0783584i
\(83\) 12.7610 4.64462i 1.40070 0.509814i 0.472315 0.881430i \(-0.343419\pi\)
0.928386 + 0.371616i \(0.121196\pi\)
\(84\) 3.60555 1.08320i 0.393397 0.118187i
\(85\) 11.1062 9.31918i 1.20463 1.01081i
\(86\) 0.0452278 0.124262i 0.00487704 0.0133996i
\(87\) 11.6180 0.302793i 1.24558 0.0324628i
\(88\) 1.64337 9.32000i 0.175184 0.993516i
\(89\) 4.36439 + 7.55934i 0.462624 + 0.801289i 0.999091 0.0426330i \(-0.0135746\pi\)
−0.536467 + 0.843922i \(0.680241\pi\)
\(90\) −7.37529 17.3870i −0.777423 1.83275i
\(91\) −7.00545 + 4.94706i −0.734371 + 0.518593i
\(92\) −0.294633 0.0519517i −0.0307176 0.00541634i
\(93\) −0.952586 0.757913i −0.0987786 0.0785919i
\(94\) 5.88187 1.03713i 0.606669 0.106972i
\(95\) −5.61509 + 0.990092i −0.576096 + 0.101581i
\(96\) 7.06880 2.78347i 0.721456 0.284086i
\(97\) 4.18960 + 0.738740i 0.425390 + 0.0750077i 0.382245 0.924061i \(-0.375151\pi\)
0.0431451 + 0.999069i \(0.486262\pi\)
\(98\) 2.13418 + 11.5629i 0.215584 + 1.16803i
\(99\) 4.19674 13.7148i 0.421788 1.37839i
\(100\) 3.71614 + 6.43655i 0.371614 + 0.643655i
\(101\) −1.21735 + 6.90392i −0.121131 + 0.686966i 0.862400 + 0.506227i \(0.168960\pi\)
−0.983531 + 0.180739i \(0.942151\pi\)
\(102\) 5.87925 + 9.59672i 0.582132 + 0.950217i
\(103\) −2.45182 + 6.73632i −0.241585 + 0.663749i 0.758344 + 0.651854i \(0.226009\pi\)
−0.999929 + 0.0118948i \(0.996214\pi\)
\(104\) −4.91536 + 4.12448i −0.481991 + 0.404438i
\(105\) 16.4488 4.94166i 1.60524 0.482257i
\(106\) −13.2262 + 4.81395i −1.28464 + 0.467572i
\(107\) −15.4107 8.89738i −1.48981 0.860142i −0.489877 0.871792i \(-0.662958\pi\)
−0.999932 + 0.0116497i \(0.996292\pi\)
\(108\) 4.13324 1.06730i 0.397721 0.102701i
\(109\) −8.73677 15.1325i −0.836831 1.44943i −0.892531 0.450986i \(-0.851073\pi\)
0.0557007 0.998448i \(-0.482261\pi\)
\(110\) −5.22645 + 29.6407i −0.498323 + 2.82613i
\(111\) 3.02601 9.04009i 0.287216 0.858047i
\(112\) 3.45270 + 12.6829i 0.326250 + 1.19842i
\(113\) 11.6574 2.05551i 1.09663 0.193366i 0.404074 0.914726i \(-0.367594\pi\)
0.692561 + 0.721360i \(0.256483\pi\)
\(114\) −0.115316 4.42458i −0.0108003 0.414400i
\(115\) −1.34414 0.237008i −0.125342 0.0221012i
\(116\) 5.51242i 0.511815i
\(117\) −8.15688 + 5.29428i −0.754104 + 0.489456i
\(118\) 2.10796 1.21703i 0.194054 0.112037i
\(119\) −9.25834 + 4.36231i −0.848710 + 0.399893i
\(120\) 11.9566 4.70814i 1.09149 0.429792i
\(121\) −9.08261 + 7.62122i −0.825692 + 0.692838i
\(122\) 0.835358 + 4.73755i 0.0756298 + 0.428918i
\(123\) 0.911082 1.14510i 0.0821495 0.103250i
\(124\) −0.371138 + 0.442305i −0.0333291 + 0.0397201i
\(125\) 7.58360 + 13.1352i 0.678298 + 1.17485i
\(126\) 1.90497 + 13.1957i 0.169708 + 1.17557i
\(127\) −0.317649 + 0.550185i −0.0281868 + 0.0488210i −0.879775 0.475391i \(-0.842307\pi\)
0.851588 + 0.524212i \(0.175640\pi\)
\(128\) 4.47603 + 12.2978i 0.395629 + 1.08698i
\(129\) 0.119823 + 0.0650779i 0.0105499 + 0.00572979i
\(130\) 15.6325 13.1172i 1.37106 1.15045i
\(131\) 0.356411 + 2.02131i 0.0311398 + 0.176603i 0.996411 0.0846475i \(-0.0269764\pi\)
−0.965271 + 0.261250i \(0.915865\pi\)
\(132\) −6.45104 2.15937i −0.561491 0.187949i
\(133\) 4.01104 + 0.334791i 0.347802 + 0.0290301i
\(134\) 6.79629i 0.587110i
\(135\) 18.8562 4.86911i 1.62288 0.419066i
\(136\) −6.63149 + 3.82869i −0.568646 + 0.328308i
\(137\) 10.0677 11.9983i 0.860145 1.02508i −0.139249 0.990257i \(-0.544469\pi\)
0.999393 0.0348229i \(-0.0110867\pi\)
\(138\) 0.336313 1.00472i 0.0286289 0.0855277i
\(139\) −14.5992 17.3986i −1.23829 1.47573i −0.824999 0.565133i \(-0.808825\pi\)
−0.413288 0.910600i \(-0.635620\pi\)
\(140\) −2.13983 7.86031i −0.180849 0.664317i
\(141\) 0.160454 + 6.15651i 0.0135127 + 0.518472i
\(142\) −25.8732 + 9.41707i −2.17123 + 0.790263i
\(143\) 15.4970 1.29592
\(144\) 3.34919 + 14.5233i 0.279099 + 1.21027i
\(145\) 25.1481i 2.08844i
\(146\) −3.51461 + 19.9323i −0.290871 + 1.64961i
\(147\) −12.1173 + 0.412643i −0.999421 + 0.0340342i
\(148\) −4.24898 1.54650i −0.349264 0.127122i
\(149\) 7.54861 + 8.99609i 0.618406 + 0.736988i 0.980796 0.195039i \(-0.0624833\pi\)
−0.362389 + 0.932027i \(0.618039\pi\)
\(150\) −24.4906 + 9.64361i −1.99965 + 0.787398i
\(151\) −1.47688 + 0.537540i −0.120187 + 0.0437444i −0.401413 0.915897i \(-0.631481\pi\)
0.281227 + 0.959641i \(0.409259\pi\)
\(152\) 3.01145 0.244261
\(153\) −10.6835 + 4.53177i −0.863710 + 0.366372i
\(154\) 8.90241 19.2920i 0.717376 1.55459i
\(155\) −1.69316 + 2.01783i −0.135998 + 0.162076i
\(156\) 2.40949 + 3.93302i 0.192914 + 0.314894i
\(157\) 6.00836 + 7.16049i 0.479520 + 0.571469i 0.950520 0.310664i \(-0.100551\pi\)
−0.471000 + 0.882133i \(0.656107\pi\)
\(158\) 0.754382 2.07265i 0.0600154 0.164891i
\(159\) −2.89174 14.2223i −0.229330 1.12791i
\(160\) −5.62247 15.4476i −0.444495 1.22124i
\(161\) 0.874849 + 0.403705i 0.0689478 + 0.0318164i
\(162\) 1.57281 + 15.0356i 0.123572 + 1.18131i
\(163\) 7.03192 12.1796i 0.550783 0.953983i −0.447436 0.894316i \(-0.647663\pi\)
0.998218 0.0596673i \(-0.0190040\pi\)
\(164\) −0.531691 0.446142i −0.0415181 0.0348378i
\(165\) −29.4302 9.85125i −2.29114 0.766919i
\(166\) 22.4643 3.96106i 1.74357 0.307438i
\(167\) −0.663852 3.76489i −0.0513704 0.291336i 0.948290 0.317406i \(-0.102812\pi\)
−0.999660 + 0.0260700i \(0.991701\pi\)
\(168\) −9.00894 + 1.06176i −0.695055 + 0.0819167i
\(169\) 1.90966 + 1.60240i 0.146897 + 0.123261i
\(170\) 21.0903 12.1765i 1.61756 0.933896i
\(171\) 4.52976 + 0.557318i 0.346399 + 0.0426192i
\(172\) 0.0323376 0.0560103i 0.00246572 0.00427074i
\(173\) −8.86502 7.43864i −0.673995 0.565549i 0.240250 0.970711i \(-0.422771\pi\)
−0.914245 + 0.405162i \(0.867215\pi\)
\(174\) 19.3070 + 2.88789i 1.46366 + 0.218930i
\(175\) −6.28726 23.0952i −0.475272 1.74583i
\(176\) 8.12365 22.3196i 0.612343 1.68240i
\(177\) 0.919581 + 2.33534i 0.0691199 + 0.175535i
\(178\) 5.01473 + 13.7779i 0.375870 + 1.03269i
\(179\) 7.89281 + 4.55692i 0.589937 + 0.340600i 0.765072 0.643944i \(-0.222703\pi\)
−0.175136 + 0.984544i \(0.556036\pi\)
\(180\) −2.07568 9.00088i −0.154712 0.670886i
\(181\) −6.15516 3.55368i −0.457509 0.264143i 0.253487 0.967339i \(-0.418422\pi\)
−0.710996 + 0.703196i \(0.751756\pi\)
\(182\) −13.0316 + 6.14017i −0.965963 + 0.455140i
\(183\) −4.95876 + 0.129238i −0.366562 + 0.00955354i
\(184\) 0.677407 + 0.246556i 0.0499391 + 0.0181764i
\(185\) −19.3842 7.05528i −1.42516 0.518715i
\(186\) −1.35472 1.53161i −0.0993328 0.112303i
\(187\) 18.2128 + 3.21141i 1.33185 + 0.234842i
\(188\) 2.92110 0.213043
\(189\) −13.7475 0.0701746i −0.999987 0.00510445i
\(190\) −9.57741 −0.694818
\(191\) −12.0621 2.12687i −0.872783 0.153895i −0.280723 0.959789i \(-0.590574\pi\)
−0.592060 + 0.805894i \(0.701685\pi\)
\(192\) −4.35984 + 0.886460i −0.314644 + 0.0639747i
\(193\) 15.5979 + 5.67717i 1.12276 + 0.408652i 0.835659 0.549248i \(-0.185086\pi\)
0.287102 + 0.957900i \(0.407308\pi\)
\(194\) 6.71506 + 2.44408i 0.482113 + 0.175475i
\(195\) 10.9923 + 17.9428i 0.787176 + 1.28491i
\(196\) 0.0459144 + 5.75056i 0.00327960 + 0.410754i
\(197\) 7.93030 + 4.57856i 0.565011 + 0.326209i 0.755154 0.655547i \(-0.227562\pi\)
−0.190144 + 0.981756i \(0.560895\pi\)
\(198\) 10.9427 21.4632i 0.777666 1.52533i
\(199\) −5.68127 3.28009i −0.402735 0.232519i 0.284928 0.958549i \(-0.408030\pi\)
−0.687663 + 0.726030i \(0.741363\pi\)
\(200\) −6.12503 16.8284i −0.433105 1.18995i
\(201\) −6.93083 1.03669i −0.488863 0.0731227i
\(202\) −4.02753 + 11.0655i −0.283376 + 0.778569i
\(203\) −4.52626 + 17.1660i −0.317681 + 1.20482i
\(204\) 2.01672 + 5.12161i 0.141199 + 0.358584i
\(205\) −2.42562 2.03534i −0.169413 0.142154i
\(206\) −6.02073 + 10.4282i −0.419484 + 0.726568i
\(207\) 0.973312 + 0.496229i 0.0676498 + 0.0344903i
\(208\) −13.9466 + 8.05205i −0.967020 + 0.558309i
\(209\) −5.57154 4.67507i −0.385391 0.323382i
\(210\) 28.6514 3.37675i 1.97714 0.233018i
\(211\) 2.58385 + 14.6538i 0.177880 + 1.00881i 0.934767 + 0.355261i \(0.115608\pi\)
−0.756888 + 0.653545i \(0.773281\pi\)
\(212\) −6.77929 + 1.19537i −0.465603 + 0.0820985i
\(213\) −5.65684 27.8218i −0.387601 1.90632i
\(214\) −22.8975 19.2133i −1.56524 1.31339i
\(215\) 0.147527 0.255524i 0.0100612 0.0174266i
\(216\) −10.2545 + 0.803228i −0.697728 + 0.0546527i
\(217\) 1.51893 1.07262i 0.103111 0.0728145i
\(218\) −10.0386 27.5810i −0.679903 1.86802i
\(219\) −19.7908 6.62462i −1.33734 0.447651i
\(220\) −5.03468 + 13.8327i −0.339438 + 0.932598i
\(221\) −8.05991 9.60542i −0.542168 0.646131i
\(222\) 7.64255 14.0717i 0.512934 0.944429i
\(223\) −0.651794 + 0.776778i −0.0436474 + 0.0520169i −0.787426 0.616409i \(-0.788587\pi\)
0.743779 + 0.668425i \(0.233031\pi\)
\(224\) 1.05756 + 11.5564i 0.0706613 + 0.772147i
\(225\) −6.09877 26.4464i −0.406585 1.76309i
\(226\) 19.8835 1.32263
\(227\) 21.5947 7.85982i 1.43329 0.521675i 0.495417 0.868655i \(-0.335015\pi\)
0.937872 + 0.346981i \(0.112793\pi\)
\(228\) 0.320230 2.14091i 0.0212078 0.141785i
\(229\) 0.229944 + 0.274037i 0.0151951 + 0.0181089i 0.773589 0.633688i \(-0.218460\pi\)
−0.758393 + 0.651797i \(0.774015\pi\)
\(230\) −2.15438 0.784130i −0.142056 0.0517040i
\(231\) 18.3159 + 12.0214i 1.20510 + 0.790950i
\(232\) −2.30646 + 13.0806i −0.151427 + 0.858783i
\(233\) 19.9280i 1.30553i −0.757561 0.652764i \(-0.773609\pi\)
0.757561 0.652764i \(-0.226391\pi\)
\(234\) −15.0376 + 6.37869i −0.983036 + 0.416988i
\(235\) 13.3263 0.869314
\(236\) 1.11867 0.407162i 0.0728191 0.0265040i
\(237\) 1.99861 + 1.08547i 0.129823 + 0.0705091i
\(238\) −16.5878 + 4.51573i −1.07523 + 0.292711i
\(239\) −8.88553 10.5894i −0.574757 0.684969i 0.397843 0.917454i \(-0.369759\pi\)
−0.972600 + 0.232485i \(0.925314\pi\)
\(240\) 31.6045 6.42594i 2.04006 0.414793i
\(241\) −2.17087 + 2.58714i −0.139838 + 0.166652i −0.831418 0.555647i \(-0.812470\pi\)
0.691580 + 0.722300i \(0.256915\pi\)
\(242\) −17.2477 + 9.95794i −1.10872 + 0.640121i
\(243\) −15.5732 0.689560i −0.999021 0.0442353i
\(244\) 2.35280i 0.150623i
\(245\) 0.209466 + 26.2345i 0.0133823 + 1.67606i
\(246\) 1.84114 1.62850i 0.117387 0.103829i
\(247\) 0.856304 + 4.85634i 0.0544853 + 0.309002i
\(248\) 1.06575 0.894271i 0.0676752 0.0567863i
\(249\) 0.612814 + 23.5132i 0.0388355 + 1.49009i
\(250\) 8.71365 + 23.9405i 0.551099 + 1.51413i
\(251\) −0.197747 + 0.342507i −0.0124817 + 0.0216189i −0.872199 0.489152i \(-0.837306\pi\)
0.859717 + 0.510770i \(0.170640\pi\)
\(252\) −0.203160 + 6.51756i −0.0127979 + 0.410568i
\(253\) −0.870521 1.50779i −0.0547292 0.0947937i
\(254\) −0.685943 + 0.817475i −0.0430399 + 0.0512929i
\(255\) 9.20048 + 23.3652i 0.576156 + 1.46319i
\(256\) 2.92519 + 16.5896i 0.182825 + 1.03685i
\(257\) 22.7517 19.0909i 1.41921 1.19086i 0.467452 0.884019i \(-0.345172\pi\)
0.951760 0.306842i \(-0.0992723\pi\)
\(258\) 0.179232 + 0.142604i 0.0111585 + 0.00887814i
\(259\) 11.9618 + 8.30476i 0.743269 + 0.516033i
\(260\) 8.64345 4.99030i 0.536044 0.309485i
\(261\) −5.89011 + 19.2487i −0.364588 + 1.19146i
\(262\) 3.44766i 0.212997i
\(263\) 11.8805 + 2.09484i 0.732580 + 0.129174i 0.527480 0.849567i \(-0.323137\pi\)
0.205100 + 0.978741i \(0.434248\pi\)
\(264\) 14.4044 + 7.82324i 0.886529 + 0.481487i
\(265\) −30.9277 + 5.45339i −1.89987 + 0.334999i
\(266\) 6.53751 + 1.72378i 0.400840 + 0.105692i
\(267\) −14.8155 + 3.01235i −0.906696 + 0.184353i
\(268\) −0.577198 + 3.27345i −0.0352580 + 0.199958i
\(269\) 1.78062 + 3.08412i 0.108566 + 0.188042i 0.915190 0.403024i \(-0.132041\pi\)
−0.806624 + 0.591066i \(0.798707\pi\)
\(270\) 32.6126 2.55453i 1.98474 0.155464i
\(271\) 6.59196 + 3.80587i 0.400433 + 0.231190i 0.686671 0.726969i \(-0.259071\pi\)
−0.286238 + 0.958159i \(0.592405\pi\)
\(272\) −18.0593 + 6.57306i −1.09501 + 0.398550i
\(273\) −4.27391 14.2261i −0.258669 0.861005i
\(274\) 20.1540 16.9112i 1.21755 1.02164i
\(275\) −14.7929 + 40.6432i −0.892046 + 2.45088i
\(276\) 0.247316 0.455365i 0.0148867 0.0274098i
\(277\) −1.87641 + 10.6416i −0.112742 + 0.639394i 0.875101 + 0.483941i \(0.160795\pi\)
−0.987843 + 0.155454i \(0.950316\pi\)
\(278\) −19.0754 33.0396i −1.14407 1.98158i
\(279\) 1.76858 1.14791i 0.105882 0.0687235i
\(280\) 1.78883 + 19.5473i 0.106903 + 1.16818i
\(281\) 3.59151 + 0.633280i 0.214252 + 0.0377783i 0.279744 0.960075i \(-0.409751\pi\)
−0.0654920 + 0.997853i \(0.520862\pi\)
\(282\) −1.53033 + 10.2310i −0.0911298 + 0.609250i
\(283\) 24.6264 4.34229i 1.46389 0.258123i 0.615767 0.787928i \(-0.288846\pi\)
0.848119 + 0.529806i \(0.177735\pi\)
\(284\) −13.2617 + 2.33839i −0.786936 + 0.138758i
\(285\) 1.46092 9.76700i 0.0865374 0.578547i
\(286\) 25.6354 + 4.52022i 1.51586 + 0.267286i
\(287\) 1.28939 + 1.82589i 0.0761106 + 0.107779i
\(288\) 0.685423 + 13.1407i 0.0403889 + 0.774321i
\(289\) 1.01810 + 1.76340i 0.0598883 + 0.103730i
\(290\) 7.33531 41.6006i 0.430744 2.44287i
\(291\) −3.51677 + 6.47518i −0.206157 + 0.379582i
\(292\) −3.38565 + 9.30198i −0.198130 + 0.544357i
\(293\) 23.0690 19.3572i 1.34770 1.13086i 0.368131 0.929774i \(-0.379998\pi\)
0.979574 0.201084i \(-0.0644465\pi\)
\(294\) −20.1651 2.85183i −1.17605 0.166322i
\(295\) 5.10346 1.85751i 0.297135 0.108148i
\(296\) 9.43547 + 5.44757i 0.548426 + 0.316634i
\(297\) 20.2189 + 14.4333i 1.17322 + 0.837506i
\(298\) 9.86307 + 17.0833i 0.571352 + 0.989612i
\(299\) −0.204982 + 1.16251i −0.0118544 + 0.0672298i
\(300\) −12.6150 + 2.56493i −0.728327 + 0.148086i
\(301\) −0.146691 + 0.147867i −0.00845516 + 0.00852294i
\(302\) −2.59988 + 0.458429i −0.149606 + 0.0263796i
\(303\) −10.6702 5.79517i −0.612989 0.332924i
\(304\) 7.44324 + 1.31244i 0.426899 + 0.0752738i
\(305\) 10.7337i 0.614610i
\(306\) −18.9947 + 4.38035i −1.08586 + 0.250408i
\(307\) −21.5000 + 12.4130i −1.22707 + 0.708449i −0.966416 0.256983i \(-0.917272\pi\)
−0.260654 + 0.965432i \(0.583938\pi\)
\(308\) 5.92631 8.53597i 0.337683 0.486382i
\(309\) −9.71626 7.73062i −0.552739 0.439779i
\(310\) −3.38944 + 2.84408i −0.192507 + 0.161533i
\(311\) −1.37130 7.77704i −0.0777594 0.440995i −0.998685 0.0512580i \(-0.983677\pi\)
0.920926 0.389737i \(-0.127434\pi\)
\(312\) −4.07194 10.3410i −0.230528 0.585442i
\(313\) −12.4235 + 14.8057i −0.702216 + 0.836868i −0.992775 0.119989i \(-0.961714\pi\)
0.290559 + 0.956857i \(0.406159\pi\)
\(314\) 7.85057 + 13.5976i 0.443033 + 0.767356i
\(315\) −0.926835 + 29.7337i −0.0522212 + 1.67530i
\(316\) 0.539377 0.934229i 0.0303424 0.0525545i
\(317\) −4.83449 13.2826i −0.271532 0.746028i −0.998252 0.0590945i \(-0.981179\pi\)
0.726720 0.686933i \(-0.241044\pi\)
\(318\) −0.635155 24.3704i −0.0356177 1.36662i
\(319\) 24.5740 20.6200i 1.37588 1.15450i
\(320\) 1.67173 + 9.48085i 0.0934525 + 0.529996i
\(321\) 23.0864 20.4200i 1.28856 1.13974i
\(322\) 1.32944 + 0.922998i 0.0740869 + 0.0514367i
\(323\) 5.88487i 0.327443i
\(324\) −0.519404 + 7.37554i −0.0288558 + 0.409752i
\(325\) 25.3962 14.6625i 1.40873 0.813330i
\(326\) 15.1850 18.0967i 0.841018 1.00229i
\(327\) 29.6582 6.03022i 1.64010 0.333472i
\(328\) 1.07500 + 1.28113i 0.0593568 + 0.0707386i
\(329\) −9.09651 2.39852i −0.501507 0.132235i
\(330\) −45.8107 24.8805i −2.52180 1.36963i
\(331\) 13.6983 4.98578i 0.752928 0.274043i 0.0630908 0.998008i \(-0.479904\pi\)
0.689837 + 0.723964i \(0.257682\pi\)
\(332\) 11.1564 0.612287
\(333\) 13.1845 + 9.94030i 0.722504 + 0.544725i
\(334\) 6.42161i 0.351375i
\(335\) −2.63323 + 14.9338i −0.143869 + 0.815920i
\(336\) −22.7297 1.30196i −1.24000 0.0710278i
\(337\) −25.3341 9.22085i −1.38003 0.502291i −0.457846 0.889032i \(-0.651379\pi\)
−0.922189 + 0.386740i \(0.873601\pi\)
\(338\) 2.69161 + 3.20774i 0.146404 + 0.174478i
\(339\) −3.03299 + 20.2771i −0.164729 + 1.10130i
\(340\) 11.1924 4.07369i 0.606991 0.220927i
\(341\) −3.36006 −0.181957
\(342\) 7.33067 + 2.24319i 0.396397 + 0.121298i
\(343\) 4.57881 17.9453i 0.247233 0.968956i
\(344\) −0.100170 + 0.119378i −0.00540082 + 0.00643644i
\(345\) 1.12828 2.07742i 0.0607444 0.111844i
\(346\) −12.4950 14.8910i −0.671735 0.800543i
\(347\) −6.84951 + 18.8189i −0.367701 + 1.01025i 0.608532 + 0.793529i \(0.291759\pi\)
−0.976233 + 0.216721i \(0.930464\pi\)
\(348\) 9.05402 + 3.03067i 0.485346 + 0.162461i
\(349\) 3.59306 + 9.87186i 0.192332 + 0.528429i 0.997949 0.0640080i \(-0.0203883\pi\)
−0.805617 + 0.592437i \(0.798166\pi\)
\(350\) −3.66403 40.0385i −0.195851 2.14015i
\(351\) −4.21116 16.3082i −0.224775 0.870469i
\(352\) 10.4848 18.1602i 0.558842 0.967944i
\(353\) 2.52612 + 2.11967i 0.134452 + 0.112819i 0.707534 0.706680i \(-0.249808\pi\)
−0.573082 + 0.819498i \(0.694252\pi\)
\(354\) 0.840011 + 4.13139i 0.0446461 + 0.219581i
\(355\) −60.5010 + 10.6680i −3.21106 + 0.566196i
\(356\) 1.24523 + 7.06204i 0.0659970 + 0.374288i
\(357\) −2.07486 17.6050i −0.109813 0.931753i
\(358\) 11.7273 + 9.84037i 0.619807 + 0.520080i
\(359\) 9.58505 5.53393i 0.505880 0.292070i −0.225259 0.974299i \(-0.572323\pi\)
0.731138 + 0.682229i \(0.238989\pi\)
\(360\) 1.15937 + 22.2270i 0.0611042 + 1.17146i
\(361\) −8.34282 + 14.4502i −0.439096 + 0.760536i
\(362\) −9.14545 7.67395i −0.480674 0.403334i
\(363\) −7.52414 19.1081i −0.394915 1.00291i
\(364\) −6.79817 + 1.85068i −0.356321 + 0.0970021i
\(365\) −15.4456 + 42.4365i −0.808461 + 2.22123i
\(366\) −8.24059 1.23260i −0.430743 0.0644292i
\(367\) −6.76907 18.5979i −0.353342 0.970800i −0.981288 0.192543i \(-0.938326\pi\)
0.627946 0.778257i \(-0.283896\pi\)
\(368\) 1.56686 + 0.904626i 0.0816781 + 0.0471569i
\(369\) 1.37989 + 2.12599i 0.0718343 + 0.110675i
\(370\) −30.0079 17.3251i −1.56004 0.900688i
\(371\) 22.0927 + 1.84402i 1.14700 + 0.0957367i
\(372\) −0.522427 0.852760i −0.0270866 0.0442135i
\(373\) 4.10447 + 1.49390i 0.212521 + 0.0773514i 0.446087 0.894990i \(-0.352817\pi\)
−0.233566 + 0.972341i \(0.575039\pi\)
\(374\) 29.1914 + 10.6248i 1.50945 + 0.549395i
\(375\) −25.7436 + 5.23430i −1.32940 + 0.270298i
\(376\) −6.93158 1.22223i −0.357469 0.0630315i
\(377\) −21.7499 −1.12018
\(378\) −22.7210 4.12603i −1.16864 0.212220i
\(379\) −5.24775 −0.269559 −0.134780 0.990876i \(-0.543033\pi\)
−0.134780 + 0.990876i \(0.543033\pi\)
\(380\) −4.61299 0.813394i −0.236641 0.0417262i
\(381\) −0.729025 0.824218i −0.0373491 0.0422259i
\(382\) −19.3330 7.03664i −0.989163 0.360026i
\(383\) −3.81324 1.38790i −0.194847 0.0709186i 0.242753 0.970088i \(-0.421949\pi\)
−0.437601 + 0.899169i \(0.644172\pi\)
\(384\) −22.6597 + 0.590569i −1.15635 + 0.0301374i
\(385\) 27.0363 38.9419i 1.37790 1.98466i
\(386\) 24.1465 + 13.9410i 1.22902 + 0.709577i
\(387\) −0.172767 + 0.161028i −0.00878223 + 0.00818551i
\(388\) 3.02676 + 1.74750i 0.153660 + 0.0887159i
\(389\) −2.79942 7.69133i −0.141936 0.389966i 0.848273 0.529559i \(-0.177643\pi\)
−0.990209 + 0.139593i \(0.955420\pi\)
\(390\) 12.9501 + 32.8877i 0.655755 + 1.66533i
\(391\) −0.481811 + 1.32377i −0.0243662 + 0.0669457i
\(392\) 2.29715 13.6649i 0.116024 0.690181i
\(393\) −3.51590 0.525899i −0.177354 0.0265281i
\(394\) 11.7830 + 9.88711i 0.593619 + 0.498105i
\(395\) 2.46069 4.26204i 0.123811 0.214446i
\(396\) 7.09344 9.40848i 0.356459 0.472794i
\(397\) 5.86290 3.38495i 0.294251 0.169886i −0.345607 0.938380i \(-0.612327\pi\)
0.639857 + 0.768494i \(0.278993\pi\)
\(398\) −8.44135 7.08313i −0.423127 0.355045i
\(399\) −2.75512 + 6.40398i −0.137929 + 0.320600i
\(400\) −7.80480 44.2632i −0.390240 2.21316i
\(401\) −3.58143 + 0.631503i −0.178848 + 0.0315357i −0.262355 0.964971i \(-0.584499\pi\)
0.0835068 + 0.996507i \(0.473388\pi\)
\(402\) −11.1627 3.73653i −0.556747 0.186361i
\(403\) 1.74517 + 1.46437i 0.0869331 + 0.0729455i
\(404\) −2.87965 + 4.98770i −0.143268 + 0.248147i
\(405\) −2.36957 + 33.6479i −0.117745 + 1.67198i
\(406\) −12.4945 + 27.0762i −0.620092 + 1.34377i
\(407\) −8.99974 24.7266i −0.446101 1.22565i
\(408\) −2.64261 12.9971i −0.130829 0.643450i
\(409\) −12.5707 + 34.5376i −0.621580 + 1.70778i 0.0815082 + 0.996673i \(0.474026\pi\)
−0.703088 + 0.711103i \(0.748196\pi\)
\(410\) −3.41885 4.07442i −0.168845 0.201221i
\(411\) 14.1717 + 23.1325i 0.699039 + 1.14104i
\(412\) −3.78556 + 4.51145i −0.186501 + 0.222263i
\(413\) −3.81793 + 0.349389i −0.187868 + 0.0171923i
\(414\) 1.46533 + 1.10477i 0.0720172 + 0.0542967i
\(415\) 50.8965 2.49841
\(416\) −13.3602 + 4.86272i −0.655038 + 0.238414i
\(417\) 36.6034 14.4132i 1.79247 0.705819i
\(418\) −7.85292 9.35874i −0.384099 0.457751i
\(419\) −11.4760 4.17694i −0.560642 0.204057i 0.0461267 0.998936i \(-0.485312\pi\)
−0.606768 + 0.794879i \(0.707534\pi\)
\(420\) 14.0868 + 0.806897i 0.687367 + 0.0393726i
\(421\) 0.755733 4.28598i 0.0368322 0.208886i −0.960838 0.277112i \(-0.910623\pi\)
0.997670 + 0.0682260i \(0.0217339\pi\)
\(422\) 24.9942i 1.21670i
\(423\) −10.2001 3.12125i −0.495948 0.151760i
\(424\) 16.5870 0.805534
\(425\) 32.8854 11.9693i 1.59518 0.580597i
\(426\) −1.24249 47.6735i −0.0601990 2.30979i
\(427\) 1.93189 7.32679i 0.0934908 0.354568i
\(428\) −9.39691 11.1988i −0.454217 0.541314i
\(429\) −8.52008 + 25.4534i −0.411353 + 1.22890i
\(430\) 0.318575 0.379662i 0.0153630 0.0183089i
\(431\) 7.21480 4.16547i 0.347525 0.200644i −0.316070 0.948736i \(-0.602363\pi\)
0.663595 + 0.748092i \(0.269030\pi\)
\(432\) −25.6955 2.48379i −1.23628 0.119501i
\(433\) 23.0129i 1.10593i 0.833205 + 0.552965i \(0.186504\pi\)
−0.833205 + 0.552965i \(0.813496\pi\)
\(434\) 2.82551 1.33131i 0.135629 0.0639051i
\(435\) 41.3052 + 13.8262i 1.98043 + 0.662916i
\(436\) −2.49274 14.1370i −0.119380 0.677040i
\(437\) 0.424399 0.356113i 0.0203018 0.0170352i
\(438\) −30.8061 16.7313i −1.47197 0.799451i
\(439\) −6.23322 17.1256i −0.297495 0.817361i −0.994917 0.100700i \(-0.967892\pi\)
0.697422 0.716661i \(-0.254331\pi\)
\(440\) 17.7347 30.7174i 0.845469 1.46440i
\(441\) 5.98423 20.1293i 0.284964 0.958538i
\(442\) −10.5311 18.2405i −0.500915 0.867610i
\(443\) −9.71170 + 11.5739i −0.461417 + 0.549895i −0.945710 0.325011i \(-0.894632\pi\)
0.484294 + 0.874905i \(0.339077\pi\)
\(444\) 4.87614 6.12860i 0.231411 0.290850i
\(445\) 5.68084 + 32.2177i 0.269298 + 1.52726i
\(446\) −1.30479 + 1.09485i −0.0617835 + 0.0518425i
\(447\) −18.9260 + 7.45246i −0.895170 + 0.352489i
\(448\) 0.565282 6.77248i 0.0267070 0.319970i
\(449\) −19.1172 + 11.0373i −0.902197 + 0.520884i −0.877912 0.478821i \(-0.841064\pi\)
−0.0242848 + 0.999705i \(0.507731\pi\)
\(450\) −2.37472 45.5272i −0.111945 2.14617i
\(451\) 4.03910i 0.190194i
\(452\) 9.57694 + 1.68867i 0.450461 + 0.0794285i
\(453\) −0.0709233 2.72128i −0.00333227 0.127857i
\(454\) 38.0150 6.70307i 1.78413 0.314591i
\(455\) −31.0138 + 8.44298i −1.45395 + 0.395813i
\(456\) −1.65567 + 4.94624i −0.0775337 + 0.231629i
\(457\) −6.75113 + 38.2875i −0.315804 + 1.79102i 0.251869 + 0.967761i \(0.418955\pi\)
−0.567673 + 0.823254i \(0.692156\pi\)
\(458\) 0.300447 + 0.520389i 0.0140390 + 0.0243162i
\(459\) −1.56964 20.0389i −0.0732645 0.935337i
\(460\) −0.971069 0.560647i −0.0452763 0.0261403i
\(461\) −6.46360 + 2.35256i −0.301040 + 0.109570i −0.488124 0.872774i \(-0.662319\pi\)
0.187084 + 0.982344i \(0.440096\pi\)
\(462\) 26.7922 + 25.2285i 1.24648 + 1.17374i
\(463\) 7.23069 6.06727i 0.336039 0.281970i −0.459116 0.888376i \(-0.651834\pi\)
0.795155 + 0.606406i \(0.207389\pi\)
\(464\) −11.4015 + 31.3254i −0.529302 + 1.45425i
\(465\) −2.38336 3.89037i −0.110526 0.180411i
\(466\) 5.81269 32.9654i 0.269268 1.52709i
\(467\) −9.67014 16.7492i −0.447481 0.775060i 0.550740 0.834677i \(-0.314345\pi\)
−0.998221 + 0.0596169i \(0.981012\pi\)
\(468\) −7.78462 + 1.79520i −0.359844 + 0.0829831i
\(469\) 4.48527 9.71982i 0.207111 0.448819i
\(470\) 22.0447 + 3.88708i 1.01685 + 0.179298i
\(471\) −15.0643 + 5.93183i −0.694125 + 0.273324i
\(472\) −2.82489 + 0.498104i −0.130026 + 0.0229271i
\(473\) 0.370653 0.0653562i 0.0170427 0.00300508i
\(474\) 2.98953 + 2.37858i 0.137313 + 0.109252i
\(475\) −13.5539 2.38992i −0.621896 0.109657i
\(476\) −8.37307 + 0.766242i −0.383779 + 0.0351207i
\(477\) 24.9497 + 3.06969i 1.14237 + 0.140551i
\(478\) −11.6099 20.1089i −0.531024 0.919761i
\(479\) −2.97359 + 16.8641i −0.135867 + 0.770540i 0.838385 + 0.545078i \(0.183500\pi\)
−0.974252 + 0.225461i \(0.927611\pi\)
\(480\) 28.4635 0.741831i 1.29918 0.0338598i
\(481\) −6.10192 + 16.7649i −0.278224 + 0.764413i
\(482\) −4.34573 + 3.64650i −0.197943 + 0.166094i
\(483\) −1.14406 + 1.21497i −0.0520565 + 0.0552829i
\(484\) −9.15310 + 3.33146i −0.416050 + 0.151430i
\(485\) 13.8083 + 7.97225i 0.627005 + 0.362001i
\(486\) −25.5604 5.68314i −1.15944 0.257793i
\(487\) −20.1639 34.9249i −0.913713 1.58260i −0.808774 0.588119i \(-0.799869\pi\)
−0.104939 0.994479i \(-0.533465\pi\)
\(488\) 0.984441 5.58304i 0.0445636 0.252733i
\(489\) 16.1387 + 18.2460i 0.729817 + 0.825113i
\(490\) −7.30570 + 43.4589i −0.330038 + 1.96327i
\(491\) 4.14445 0.730778i 0.187036 0.0329795i −0.0793453 0.996847i \(-0.525283\pi\)
0.266382 + 0.963868i \(0.414172\pi\)
\(492\) 1.02510 0.628006i 0.0462149 0.0283127i
\(493\) −25.5616 4.50721i −1.15124 0.202994i
\(494\) 8.28324i 0.372681i
\(495\) 32.3609 42.9223i 1.45451 1.92922i
\(496\) 3.02390 1.74585i 0.135777 0.0783909i
\(497\) 43.2178 + 3.60728i 1.93858 + 0.161809i
\(498\) −5.84470 + 39.0748i −0.261907 + 1.75099i
\(499\) 9.58989 8.04687i 0.429302 0.360227i −0.402386 0.915470i \(-0.631819\pi\)
0.831688 + 0.555243i \(0.187375\pi\)
\(500\) 2.16372 + 12.2711i 0.0967646 + 0.548779i
\(501\) 6.54873 + 0.979539i 0.292576 + 0.0437626i
\(502\) −0.427021 + 0.508904i −0.0190589 + 0.0227135i
\(503\) 17.2248 + 29.8343i 0.768016 + 1.33024i 0.938637 + 0.344907i \(0.112089\pi\)
−0.170621 + 0.985337i \(0.554577\pi\)
\(504\) 3.20911 15.3807i 0.142945 0.685112i
\(505\) −13.1372 + 22.7543i −0.584599 + 1.01255i
\(506\) −1.00024 2.74813i −0.0444660 0.122169i
\(507\) −3.68181 + 2.25559i −0.163515 + 0.100174i
\(508\) −0.399813 + 0.335483i −0.0177388 + 0.0148847i
\(509\) 1.74125 + 9.87512i 0.0771796 + 0.437707i 0.998772 + 0.0495476i \(0.0157779\pi\)
−0.921592 + 0.388160i \(0.873111\pi\)
\(510\) 8.40438 + 41.3349i 0.372152 + 1.83034i
\(511\) 18.1810 26.1870i 0.804280 1.15845i
\(512\) 2.12207i 0.0937832i
\(513\) −3.40580 + 7.13361i −0.150370 + 0.314957i
\(514\) 43.2049 24.9444i 1.90569 1.10025i
\(515\) −17.2700 + 20.5816i −0.761009 + 0.906935i
\(516\) 0.0742167 + 0.0839076i 0.00326721 + 0.00369383i
\(517\) 10.9268 + 13.0221i 0.480561 + 0.572710i
\(518\) 17.3651 + 17.2270i 0.762978 + 0.756910i
\(519\) 17.0917 10.4709i 0.750242 0.459622i
\(520\) −22.5983 + 8.22512i −0.991003 + 0.360696i
\(521\) 32.0592 1.40454 0.702270 0.711911i \(-0.252170\pi\)
0.702270 + 0.711911i \(0.252170\pi\)
\(522\) −15.3581 + 30.1236i −0.672205 + 1.31847i
\(523\) 4.17931i 0.182748i −0.995817 0.0913742i \(-0.970874\pi\)
0.995817 0.0913742i \(-0.0291259\pi\)
\(524\) −0.292804 + 1.66057i −0.0127912 + 0.0725425i
\(525\) 41.3900 + 2.37083i 1.80641 + 0.103471i
\(526\) 19.0419 + 6.93068i 0.830266 + 0.302192i
\(527\) 1.74755 + 2.08265i 0.0761246 + 0.0907218i
\(528\) 32.1930 + 25.6140i 1.40102 + 1.11471i
\(529\) −21.4883 + 7.82110i −0.934274 + 0.340048i
\(530\) −52.7520 −2.29140
\(531\) −4.34131 + 0.226445i −0.188397 + 0.00982688i
\(532\) 3.00241 + 1.38548i 0.130171 + 0.0600683i
\(533\) −1.76031 + 2.09786i −0.0762475 + 0.0908682i
\(534\) −25.3869 + 0.661646i −1.09860 + 0.0286322i
\(535\) −42.8695 51.0899i −1.85341 2.20881i
\(536\) 2.73931 7.52618i 0.118320 0.325081i
\(537\) −11.8240 + 10.4584i −0.510244 + 0.451314i
\(538\) 2.04595 + 5.62119i 0.0882070 + 0.242347i
\(539\) −25.4638 + 21.7155i −1.09680 + 0.935352i
\(540\) 15.9249 + 1.53934i 0.685299 + 0.0662427i
\(541\) −1.91792 + 3.32193i −0.0824578 + 0.142821i −0.904305 0.426887i \(-0.859610\pi\)
0.821847 + 0.569708i \(0.192944\pi\)
\(542\) 9.79445 + 8.21852i 0.420708 + 0.353016i
\(543\) 9.22089 8.15593i 0.395706 0.350004i
\(544\) −16.7093 + 2.94630i −0.716405 + 0.126322i
\(545\) −11.3721 64.4943i −0.487127 2.76263i
\(546\) −2.92046 24.7798i −0.124984 1.06048i
\(547\) 3.29856 + 2.76782i 0.141036 + 0.118344i 0.710576 0.703620i \(-0.248434\pi\)
−0.569540 + 0.821964i \(0.692879\pi\)
\(548\) 11.1435 6.43368i 0.476025 0.274833i
\(549\) 2.51401 8.21570i 0.107295 0.350638i
\(550\) −36.3258 + 62.9180i −1.54894 + 2.68283i
\(551\) 7.81963 + 6.56145i 0.333128 + 0.279527i
\(552\) −0.777395 + 0.977072i −0.0330881 + 0.0415869i
\(553\) −2.44676 + 2.46637i −0.104047 + 0.104881i
\(554\) −6.20800 + 17.0563i −0.263753 + 0.724654i
\(555\) 22.2454 27.9592i 0.944264 1.18680i
\(556\) −6.38173 17.5337i −0.270646 0.743593i
\(557\) −29.3284 16.9328i −1.24269 0.717465i −0.273046 0.962001i \(-0.588031\pi\)
−0.969640 + 0.244536i \(0.921364\pi\)
\(558\) 3.26045 1.38303i 0.138026 0.0585483i
\(559\) −0.220996 0.127592i −0.00934712 0.00539656i
\(560\) −4.09772 + 49.0937i −0.173160 + 2.07459i
\(561\) −15.2879 + 28.1485i −0.645456 + 1.18843i
\(562\) 5.75644 + 2.09517i 0.242821 + 0.0883796i
\(563\) −4.22574 1.53805i −0.178094 0.0648209i 0.251434 0.967874i \(-0.419098\pi\)
−0.429528 + 0.903054i \(0.641320\pi\)
\(564\) −1.60599 + 4.79785i −0.0676246 + 0.202026i
\(565\) 43.6909 + 7.70388i 1.83809 + 0.324105i
\(566\) 42.0041 1.76556
\(567\) 7.67353 22.5414i 0.322258 0.946652i
\(568\) 32.4475 1.36147
\(569\) −3.32912 0.587013i −0.139564 0.0246089i 0.103430 0.994637i \(-0.467018\pi\)
−0.242994 + 0.970028i \(0.578129\pi\)
\(570\) 5.26557 15.7307i 0.220550 0.658885i
\(571\) −18.0028 6.55249i −0.753394 0.274213i −0.0633608 0.997991i \(-0.520182\pi\)
−0.690033 + 0.723778i \(0.742404\pi\)
\(572\) 11.9635 + 4.35436i 0.500219 + 0.182065i
\(573\) 10.1250 18.6424i 0.422976 0.778797i
\(574\) 1.60036 + 3.39652i 0.0667979 + 0.141768i
\(575\) −2.85320 1.64729i −0.118987 0.0686969i
\(576\) 0.941009 7.64831i 0.0392087 0.318679i
\(577\) −39.7257 22.9356i −1.65380 0.954823i −0.975489 0.220050i \(-0.929378\pi\)
−0.678313 0.734773i \(-0.737289\pi\)
\(578\) 1.16981 + 3.21403i 0.0486577 + 0.133686i
\(579\) −17.9002 + 22.4979i −0.743907 + 0.934982i
\(580\) 7.06615 19.4141i 0.293406 0.806127i
\(581\) −34.7418 9.16055i −1.44133 0.380044i
\(582\) −7.70623 + 9.68560i −0.319433 + 0.401481i
\(583\) −30.6878 25.7501i −1.27096 1.06646i
\(584\) 11.9260 20.6564i 0.493500 0.854768i
\(585\) −35.5141 + 8.18985i −1.46833 + 0.338609i
\(586\) 43.8074 25.2922i 1.80967 1.04481i
\(587\) −30.9328 25.9557i −1.27673 1.07131i −0.993686 0.112201i \(-0.964210\pi\)
−0.283048 0.959106i \(-0.591346\pi\)
\(588\) −9.47040 3.08619i −0.390553 0.127272i
\(589\) −0.185664 1.05295i −0.00765016 0.0433862i
\(590\) 8.98407 1.58413i 0.369868 0.0652178i
\(591\) −11.8802 + 10.5081i −0.488686 + 0.432245i
\(592\) 20.9470 + 17.5766i 0.860917 + 0.722395i
\(593\) 2.27065 3.93289i 0.0932446 0.161504i −0.815630 0.578574i \(-0.803609\pi\)
0.908875 + 0.417069i \(0.136943\pi\)
\(594\) 29.2367 + 29.7735i 1.19959 + 1.22162i
\(595\) −38.1987 + 3.49567i −1.56599 + 0.143308i
\(596\) 3.29972 + 9.06590i 0.135162 + 0.371354i
\(597\) 8.51097 7.52800i 0.348331 0.308101i
\(598\) −0.678173 + 1.86326i −0.0277325 + 0.0761945i
\(599\) 6.32849 + 7.54200i 0.258575 + 0.308158i 0.879677 0.475572i \(-0.157759\pi\)
−0.621101 + 0.783730i \(0.713315\pi\)
\(600\) 31.0077 0.808140i 1.26588 0.0329922i
\(601\) 13.1479 15.6690i 0.536313 0.639153i −0.428044 0.903758i \(-0.640797\pi\)
0.964357 + 0.264605i \(0.0852416\pi\)
\(602\) −0.285791 + 0.201818i −0.0116480 + 0.00822549i
\(603\) 5.51324 10.8138i 0.224517 0.440370i
\(604\) −1.29117 −0.0525371
\(605\) −41.7573 + 15.1984i −1.69767 + 0.617903i
\(606\) −15.9606 12.6989i −0.648355 0.515856i
\(607\) 10.8208 + 12.8957i 0.439203 + 0.523421i 0.939554 0.342401i \(-0.111240\pi\)
−0.500351 + 0.865823i \(0.666796\pi\)
\(608\) 6.27029 + 2.28220i 0.254294 + 0.0925554i
\(609\) −25.7063 16.8720i −1.04167 0.683688i
\(610\) −3.13085 + 17.7559i −0.126764 + 0.718917i
\(611\) 11.5256i 0.466275i
\(612\) −9.52089 + 0.496615i −0.384859 + 0.0200745i
\(613\) −14.5656 −0.588299 −0.294150 0.955759i \(-0.595036\pi\)
−0.294150 + 0.955759i \(0.595036\pi\)
\(614\) −39.1865 + 14.2627i −1.58144 + 0.575596i
\(615\) 4.67658 2.86502i 0.188578 0.115529i
\(616\) −17.6343 + 17.7756i −0.710506 + 0.716201i
\(617\) 6.20042 + 7.38938i 0.249620 + 0.297485i 0.876275 0.481811i \(-0.160021\pi\)
−0.626655 + 0.779297i \(0.715577\pi\)
\(618\) −13.8180 15.6222i −0.555840 0.628419i
\(619\) −20.8566 + 24.8559i −0.838298 + 0.999044i 0.161628 + 0.986852i \(0.448326\pi\)
−0.999926 + 0.0121927i \(0.996119\pi\)
\(620\) −1.87408 + 1.08200i −0.0752648 + 0.0434541i
\(621\) −1.35016 + 1.32582i −0.0541802 + 0.0532033i
\(622\) 13.2649i 0.531876i
\(623\) 1.92093 23.0141i 0.0769605 0.922042i
\(624\) −5.55762 27.3338i −0.222483 1.09423i
\(625\) 2.01625 + 11.4347i 0.0806501 + 0.457390i
\(626\) −24.8698 + 20.8682i −0.993996 + 0.834062i
\(627\) 10.7419 6.58081i 0.428989 0.262812i
\(628\) 2.62643 + 7.21606i 0.104806 + 0.287952i
\(629\) −10.6455 + 18.4385i −0.424462 + 0.735190i
\(630\) −10.2060 + 48.9158i −0.406618 + 1.94885i
\(631\) 1.22037 + 2.11374i 0.0485821 + 0.0841467i 0.889294 0.457336i \(-0.151196\pi\)
−0.840712 + 0.541483i \(0.817863\pi\)
\(632\) −1.67080 + 1.99118i −0.0664608 + 0.0792049i
\(633\) −25.4890 3.81257i −1.01310 0.151536i
\(634\) −4.12298 23.3826i −0.163745 0.928642i
\(635\) −1.82398 + 1.53050i −0.0723826 + 0.0607362i
\(636\) 1.76382 11.7920i 0.0699399 0.467584i
\(637\) 22.6896 0.181161i 0.898993 0.00717787i
\(638\) 46.6654 26.9423i 1.84750 1.06665i
\(639\) 48.8068 + 6.00494i 1.93077 + 0.237552i
\(640\) 49.0490i 1.93883i
\(641\) 18.6803 + 3.29385i 0.737829 + 0.130099i 0.529918 0.848049i \(-0.322223\pi\)
0.207911 + 0.978148i \(0.433334\pi\)
\(642\) 44.1462 27.0454i 1.74231 1.06740i
\(643\) 30.7254 5.41772i 1.21169 0.213654i 0.468946 0.883227i \(-0.344634\pi\)
0.742746 + 0.669573i \(0.233523\pi\)
\(644\) 0.561941 + 0.557472i 0.0221436 + 0.0219675i
\(645\) 0.338583 + 0.382794i 0.0133317 + 0.0150725i
\(646\) −1.71652 + 9.73489i −0.0675357 + 0.383014i
\(647\) 18.3923 + 31.8564i 0.723076 + 1.25240i 0.959761 + 0.280818i \(0.0906058\pi\)
−0.236685 + 0.971587i \(0.576061\pi\)
\(648\) 4.31853 17.2843i 0.169648 0.678993i
\(649\) 5.99964 + 3.46390i 0.235507 + 0.135970i
\(650\) 46.2879 16.8474i 1.81556 0.660810i
\(651\) 0.926671 + 3.08452i 0.0363191 + 0.120892i
\(652\) 8.85082 7.42672i 0.346625 0.290853i
\(653\) 5.39569 14.8245i 0.211150 0.580129i −0.788229 0.615382i \(-0.789002\pi\)
0.999378 + 0.0352534i \(0.0112238\pi\)
\(654\) 50.8202 1.32450i 1.98723 0.0517922i
\(655\) −1.33580 + 7.57569i −0.0521939 + 0.296007i
\(656\) 2.09867 + 3.63501i 0.0819394 + 0.141923i
\(657\) 21.7616 28.8638i 0.849000 1.12608i
\(658\) −14.3481 6.62100i −0.559345 0.258114i
\(659\) −14.0350 2.47474i −0.546725 0.0964023i −0.106538 0.994309i \(-0.533977\pi\)
−0.440187 + 0.897906i \(0.645088\pi\)
\(660\) −19.9518 15.8744i −0.776623 0.617910i
\(661\) −23.5313 + 4.14920i −0.915260 + 0.161385i −0.611391 0.791329i \(-0.709390\pi\)
−0.303869 + 0.952714i \(0.598279\pi\)
\(662\) 24.1144 4.25201i 0.937231 0.165259i
\(663\) 20.2079 7.95724i 0.784812 0.309034i
\(664\) −26.4734 4.66798i −1.02737 0.181153i
\(665\) 13.6973 + 6.32070i 0.531158 + 0.245106i
\(666\) 18.9106 + 20.2892i 0.732771 + 0.786190i
\(667\) 1.22177 + 2.11617i 0.0473073 + 0.0819386i
\(668\) 0.545377 3.09299i 0.0211013 0.119671i
\(669\) −0.917490 1.49762i −0.0354722 0.0579014i
\(670\) −8.71190 + 23.9357i −0.336570 + 0.924718i
\(671\) −10.4886 + 8.80101i −0.404909 + 0.339759i
\(672\) −19.5626 4.61660i −0.754644 0.178089i
\(673\) −2.30855 + 0.840244i −0.0889881 + 0.0323890i −0.386131 0.922444i \(-0.626189\pi\)
0.297142 + 0.954833i \(0.403966\pi\)
\(674\) −39.2186 22.6429i −1.51064 0.872171i
\(675\) 46.7907 + 4.52290i 1.80097 + 0.174086i
\(676\) 1.02400 + 1.77361i 0.0393845 + 0.0682159i
\(677\) 0.472088 2.67734i 0.0181438 0.102899i −0.974391 0.224860i \(-0.927807\pi\)
0.992535 + 0.121962i \(0.0389185\pi\)
\(678\) −10.9317 + 32.6582i −0.419831 + 1.25423i
\(679\) −7.99066 7.92711i −0.306653 0.304215i
\(680\) −28.2632 + 4.98357i −1.08384 + 0.191111i
\(681\) 1.03703 + 39.7900i 0.0397390 + 1.52476i
\(682\) −5.55829 0.980076i −0.212838 0.0375291i
\(683\) 21.7302i 0.831484i 0.909483 + 0.415742i \(0.136478\pi\)
−0.909483 + 0.415742i \(0.863522\pi\)
\(684\) 3.34033 + 1.70302i 0.127721 + 0.0651166i
\(685\) 50.8375 29.3510i 1.94240 1.12145i
\(686\) 12.8087 28.3500i 0.489040 1.08241i
\(687\) −0.576520 + 0.227015i −0.0219956 + 0.00866117i
\(688\) −0.299613 + 0.251405i −0.0114226 + 0.00958472i
\(689\) 4.71649 + 26.7486i 0.179684 + 1.01904i
\(690\) 2.47237 3.10741i 0.0941216 0.118297i
\(691\) −8.16535 + 9.73108i −0.310624 + 0.370188i −0.898659 0.438648i \(-0.855457\pi\)
0.588034 + 0.808836i \(0.299902\pi\)
\(692\) −4.75359 8.23345i −0.180704 0.312989i
\(693\) −29.8148 + 23.4742i −1.13257 + 0.891712i
\(694\) −16.8198 + 29.1327i −0.638471 + 1.10586i
\(695\) −29.1140 79.9902i −1.10436 3.03420i
\(696\) −20.2165 10.9799i −0.766305 0.416192i
\(697\) −2.50354 + 2.10072i −0.0948284 + 0.0795705i
\(698\) 3.06426 + 17.3783i 0.115984 + 0.657778i
\(699\) 32.7313 + 10.9562i 1.23801 + 0.414403i
\(700\) 1.63561 19.5958i 0.0618204 0.740653i
\(701\) 23.3250i 0.880973i −0.897759 0.440487i \(-0.854806\pi\)
0.897759 0.440487i \(-0.145194\pi\)
\(702\) −2.20934 28.2058i −0.0833863 1.06456i
\(703\) 7.25137 4.18658i 0.273490 0.157900i
\(704\) −7.89367 + 9.40731i −0.297504 + 0.354551i
\(705\) −7.32669 + 21.8882i −0.275939 + 0.824357i
\(706\) 3.56050 + 4.24323i 0.134001 + 0.159696i
\(707\) 13.0628 13.1676i 0.491279 0.495217i
\(708\) 0.0537211 + 2.06124i 0.00201896 + 0.0774661i
\(709\) 21.6133 7.86662i 0.811706 0.295437i 0.0973778 0.995247i \(-0.468954\pi\)
0.714328 + 0.699811i \(0.246732\pi\)
\(710\) −103.194 −3.87279
\(711\) −2.88168 + 2.68588i −0.108071 + 0.100728i
\(712\) 17.2788i 0.647550i
\(713\) 0.0444444 0.252056i 0.00166445 0.00943959i
\(714\) 1.70281 29.7277i 0.0637262 1.11253i
\(715\) 54.5785 + 19.8650i 2.04112 + 0.742907i
\(716\) 4.81276 + 5.73562i 0.179861 + 0.214350i
\(717\) 22.2780 8.77235i 0.831986 0.327609i
\(718\) 17.4700 6.35855i 0.651973 0.237299i
\(719\) 18.4488 0.688025 0.344013 0.938965i \(-0.388214\pi\)
0.344013 + 0.938965i \(0.388214\pi\)
\(720\) −6.82136 + 55.4425i −0.254217 + 2.06622i
\(721\) 15.4928 10.9406i 0.576983 0.407450i
\(722\) −18.0158 + 21.4704i −0.670478 + 0.799044i
\(723\) −3.05580 4.98799i −0.113646 0.185505i
\(724\) −3.75320 4.47289i −0.139487 0.166234i
\(725\) 20.7618 57.0426i 0.771074 2.11851i
\(726\) −6.87309 33.8037i −0.255084 1.25457i
\(727\) 0.912501 + 2.50708i 0.0338428 + 0.0929823i 0.955463 0.295110i \(-0.0953564\pi\)
−0.921620 + 0.388092i \(0.873134\pi\)
\(728\) 16.9059 1.54711i 0.626576 0.0573397i
\(729\) 9.69458 25.1995i 0.359059 0.933315i
\(730\) −37.9285 + 65.6942i −1.40380 + 2.43145i
\(731\) −0.233285 0.195749i −0.00862835 0.00724005i
\(732\) −3.86442 1.29355i −0.142833 0.0478109i
\(733\) 34.5172 6.08631i 1.27492 0.224803i 0.505098 0.863062i \(-0.331456\pi\)
0.769822 + 0.638259i \(0.220345\pi\)
\(734\) −5.77285 32.7394i −0.213080 1.20843i
\(735\) −43.2048 14.0795i −1.59363 0.519329i
\(736\) 1.22361 + 1.02673i 0.0451030 + 0.0378459i
\(737\) −16.7519 + 9.67173i −0.617065 + 0.356263i
\(738\) 1.66253 + 3.91936i 0.0611986 + 0.144274i
\(739\) 3.42267 5.92824i 0.125905 0.218074i −0.796181 0.605058i \(-0.793150\pi\)
0.922086 + 0.386984i \(0.126483\pi\)
\(740\) −12.9820 10.8932i −0.477228 0.400442i
\(741\) −8.44721 1.26351i −0.310316 0.0464162i
\(742\) 36.0084 + 9.49451i 1.32191 + 0.348554i
\(743\) 7.09106 19.4825i 0.260146 0.714744i −0.739011 0.673693i \(-0.764707\pi\)
0.999157 0.0410513i \(-0.0130707\pi\)
\(744\) 0.882880 + 2.24213i 0.0323680 + 0.0822006i
\(745\) 15.0536 + 41.3595i 0.551522 + 1.51529i
\(746\) 6.35396 + 3.66846i 0.232635 + 0.134312i
\(747\) −38.9568 11.9208i −1.42536 0.436159i
\(748\) 13.1578 + 7.59664i 0.481095 + 0.277761i
\(749\) 20.0673 + 42.5896i 0.733242 + 1.55619i
\(750\) −44.1125 + 1.14968i −1.61076 + 0.0419805i
\(751\) −27.6433 10.0614i −1.00872 0.367144i −0.215779 0.976442i \(-0.569229\pi\)
−0.792941 + 0.609298i \(0.791451\pi\)
\(752\) −16.5998 6.04182i −0.605331 0.220322i
\(753\) −0.453841 0.513102i −0.0165389 0.0186985i
\(754\) −35.9793 6.34411i −1.31029 0.231039i
\(755\) −5.89045 −0.214376
\(756\) −10.5932 3.91698i −0.385273 0.142459i
\(757\) −41.4656 −1.50709 −0.753546 0.657396i \(-0.771658\pi\)
−0.753546 + 0.657396i \(0.771658\pi\)
\(758\) −8.68096 1.53069i −0.315307 0.0555970i
\(759\) 2.95511 0.600844i 0.107264 0.0218093i
\(760\) 10.6060 + 3.86026i 0.384719 + 0.140026i
\(761\) 42.9346 + 15.6269i 1.55638 + 0.566476i 0.969903 0.243491i \(-0.0782926\pi\)
0.586476 + 0.809967i \(0.300515\pi\)
\(762\) −0.965559 1.57608i −0.0349785 0.0570955i
\(763\) −3.84538 + 46.0704i −0.139212 + 1.66786i
\(764\) −8.71420 5.03115i −0.315269 0.182020i
\(765\) −43.4352 + 2.26560i −1.57040 + 0.0819129i
\(766\) −5.90311 3.40816i −0.213288 0.123142i
\(767\) −1.60651 4.41385i −0.0580077 0.159375i
\(768\) −28.8563 4.31624i −1.04126 0.155749i
\(769\) 3.17805 8.73163i 0.114604 0.314871i −0.869109 0.494621i \(-0.835307\pi\)
0.983712 + 0.179750i \(0.0575290\pi\)
\(770\) 56.0829 56.5324i 2.02109 2.03729i
\(771\) 18.8478 + 47.8652i 0.678786 + 1.72382i
\(772\) 10.4462 + 8.76543i 0.375968 + 0.315475i
\(773\) 1.62756 2.81902i 0.0585393 0.101393i −0.835271