Properties

Label 280.2.bj.e.171.4
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.4
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.967093 - 1.03186i) q^{2} +(2.26702 + 1.30886i) q^{3} +(-0.129462 + 1.99581i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.841856 - 3.60504i) q^{6} +(-1.72615 + 2.00510i) q^{7} +(2.18459 - 1.79654i) q^{8} +(1.92625 + 3.33637i) q^{9} +O(q^{10})\) \(q+(-0.967093 - 1.03186i) q^{2} +(2.26702 + 1.30886i) q^{3} +(-0.129462 + 1.99581i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.841856 - 3.60504i) q^{6} +(-1.72615 + 2.00510i) q^{7} +(2.18459 - 1.79654i) q^{8} +(1.92625 + 3.33637i) q^{9} +(0.410069 - 1.35346i) q^{10} +(0.530792 - 0.919359i) q^{11} +(-2.90573 + 4.35508i) q^{12} -0.831440 q^{13} +(3.73832 - 0.157972i) q^{14} +2.61773i q^{15} +(-3.96648 - 0.516763i) q^{16} +(4.14632 + 2.39388i) q^{17} +(1.57979 - 5.21420i) q^{18} +(-2.03733 + 1.17625i) q^{19} +(-1.79315 + 0.885785i) q^{20} +(-6.53761 + 2.28630i) q^{21} +(-1.46197 + 0.341404i) q^{22} +(-1.32189 + 0.763194i) q^{23} +(7.30394 - 1.21347i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(0.804080 + 0.857928i) q^{26} +2.23163i q^{27} +(-3.77831 - 3.70464i) q^{28} +3.07820i q^{29} +(2.70112 - 2.53159i) q^{30} +(4.78548 - 8.28870i) q^{31} +(3.30273 + 4.59260i) q^{32} +(2.40663 - 1.38947i) q^{33} +(-1.53973 - 6.59352i) q^{34} +(-2.59954 - 0.492342i) q^{35} +(-6.90812 + 3.41249i) q^{36} +(10.0658 - 5.81151i) q^{37} +(3.18402 + 0.964691i) q^{38} +(-1.88489 - 1.08824i) q^{39} +(2.64815 + 0.993639i) q^{40} -8.76255i q^{41} +(8.68161 + 4.53483i) q^{42} -4.99479 q^{43} +(1.76615 + 1.17838i) q^{44} +(-1.92625 + 3.33637i) q^{45} +(2.06590 + 0.625924i) q^{46} +(1.75877 + 3.04628i) q^{47} +(-8.31571 - 6.36310i) q^{48} +(-1.04082 - 6.92219i) q^{49} +(1.37716 - 0.321598i) q^{50} +(6.26653 + 10.8539i) q^{51} +(0.107640 - 1.65939i) q^{52} +(6.61057 + 3.81661i) q^{53} +(2.30272 - 2.15819i) q^{54} +1.06158 q^{55} +(-0.168690 + 7.48141i) q^{56} -6.15823 q^{57} +(3.17626 - 2.97690i) q^{58} +(-3.31455 - 1.91365i) q^{59} +(-5.22448 - 0.338897i) q^{60} +(-6.51711 - 11.2880i) q^{61} +(-13.1808 + 3.07800i) q^{62} +(-10.0147 - 1.89675i) q^{63} +(1.54487 - 7.84942i) q^{64} +(-0.415720 - 0.720048i) q^{65} +(-3.76118 - 1.13956i) q^{66} +(-7.36855 + 12.7627i) q^{67} +(-5.31451 + 7.96533i) q^{68} -3.99567 q^{69} +(2.00597 + 3.15849i) q^{70} -9.99651i q^{71} +(10.2020 + 3.82800i) q^{72} +(-7.06104 - 4.07669i) q^{73} +(-15.7313 - 4.76624i) q^{74} +(-2.26702 + 1.30886i) q^{75} +(-2.08382 - 4.21840i) q^{76} +(0.927176 + 2.65124i) q^{77} +(0.699953 + 2.99737i) q^{78} +(-8.17894 + 4.72211i) q^{79} +(-1.53571 - 3.69345i) q^{80} +(2.85786 - 4.94996i) q^{81} +(-9.04171 + 8.47421i) q^{82} +13.7576i q^{83} +(-3.71663 - 13.3438i) q^{84} +4.78776i q^{85} +(4.83043 + 5.15392i) q^{86} +(-4.02894 + 6.97833i) q^{87} +(-0.492104 - 2.96202i) q^{88} +(10.1864 - 5.88110i) q^{89} +(5.30552 - 1.23896i) q^{90} +(1.43519 - 1.66712i) q^{91} +(-1.35205 - 2.73704i) q^{92} +(21.6976 - 12.5271i) q^{93} +(1.44243 - 4.76083i) q^{94} +(-2.03733 - 1.17625i) q^{95} +(1.47625 + 14.7343i) q^{96} -6.01605i q^{97} +(-6.13615 + 7.76837i) q^{98} +4.08976 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.967093 1.03186i −0.683838 0.729634i
\(3\) 2.26702 + 1.30886i 1.30886 + 0.755673i 0.981907 0.189366i \(-0.0606431\pi\)
0.326958 + 0.945039i \(0.393976\pi\)
\(4\) −0.129462 + 1.99581i −0.0647312 + 0.997903i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −0.841856 3.60504i −0.343686 1.47175i
\(7\) −1.72615 + 2.00510i −0.652423 + 0.757855i
\(8\) 2.18459 1.79654i 0.772369 0.635174i
\(9\) 1.92625 + 3.33637i 0.642084 + 1.11212i
\(10\) 0.410069 1.35346i 0.129675 0.428000i
\(11\) 0.530792 0.919359i 0.160040 0.277197i −0.774843 0.632154i \(-0.782171\pi\)
0.934883 + 0.354957i \(0.115504\pi\)
\(12\) −2.90573 + 4.35508i −0.838813 + 1.25720i
\(13\) −0.831440 −0.230600 −0.115300 0.993331i \(-0.536783\pi\)
−0.115300 + 0.993331i \(0.536783\pi\)
\(14\) 3.73832 0.157972i 0.999108 0.0422198i
\(15\) 2.61773i 0.675895i
\(16\) −3.96648 0.516763i −0.991620 0.129191i
\(17\) 4.14632 + 2.39388i 1.00563 + 0.580601i 0.909909 0.414807i \(-0.136151\pi\)
0.0957209 + 0.995408i \(0.469484\pi\)
\(18\) 1.57979 5.21420i 0.372361 1.22900i
\(19\) −2.03733 + 1.17625i −0.467396 + 0.269851i −0.715149 0.698972i \(-0.753641\pi\)
0.247753 + 0.968823i \(0.420308\pi\)
\(20\) −1.79315 + 0.885785i −0.400960 + 0.198068i
\(21\) −6.53761 + 2.28630i −1.42662 + 0.498910i
\(22\) −1.46197 + 0.341404i −0.311694 + 0.0727875i
\(23\) −1.32189 + 0.763194i −0.275633 + 0.159137i −0.631445 0.775421i \(-0.717538\pi\)
0.355812 + 0.934558i \(0.384204\pi\)
\(24\) 7.30394 1.21347i 1.49091 0.247698i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 0.804080 + 0.857928i 0.157693 + 0.168254i
\(27\) 2.23163i 0.429477i
\(28\) −3.77831 3.70464i −0.714033 0.700112i
\(29\) 3.07820i 0.571607i 0.958288 + 0.285803i \(0.0922604\pi\)
−0.958288 + 0.285803i \(0.907740\pi\)
\(30\) 2.70112 2.53159i 0.493156 0.462202i
\(31\) 4.78548 8.28870i 0.859498 1.48869i −0.0129107 0.999917i \(-0.504110\pi\)
0.872409 0.488777i \(-0.162557\pi\)
\(32\) 3.30273 + 4.59260i 0.583845 + 0.811865i
\(33\) 2.40663 1.38947i 0.418941 0.241876i
\(34\) −1.53973 6.59352i −0.264062 1.13078i
\(35\) −2.59954 0.492342i −0.439402 0.0832209i
\(36\) −6.90812 + 3.41249i −1.15135 + 0.568749i
\(37\) 10.0658 5.81151i 1.65481 0.955407i 0.679760 0.733435i \(-0.262084\pi\)
0.975053 0.221972i \(-0.0712494\pi\)
\(38\) 3.18402 + 0.964691i 0.516516 + 0.156493i
\(39\) −1.88489 1.08824i −0.301824 0.174258i
\(40\) 2.64815 + 0.993639i 0.418709 + 0.157108i
\(41\) 8.76255i 1.36848i −0.729256 0.684241i \(-0.760134\pi\)
0.729256 0.684241i \(-0.239866\pi\)
\(42\) 8.68161 + 4.53483i 1.33960 + 0.699739i
\(43\) −4.99479 −0.761699 −0.380849 0.924637i \(-0.624368\pi\)
−0.380849 + 0.924637i \(0.624368\pi\)
\(44\) 1.76615 + 1.17838i 0.266256 + 0.177648i
\(45\) −1.92625 + 3.33637i −0.287149 + 0.497356i
\(46\) 2.06590 + 0.625924i 0.304600 + 0.0922875i
\(47\) 1.75877 + 3.04628i 0.256543 + 0.444345i 0.965313 0.261094i \(-0.0840832\pi\)
−0.708771 + 0.705439i \(0.750750\pi\)
\(48\) −8.31571 6.36310i −1.20027 0.918434i
\(49\) −1.04082 6.92219i −0.148688 0.988884i
\(50\) 1.37716 0.321598i 0.194760 0.0454808i
\(51\) 6.26653 + 10.8539i 0.877489 + 1.51986i
\(52\) 0.107640 1.65939i 0.0149270 0.230116i
\(53\) 6.61057 + 3.81661i 0.908031 + 0.524252i 0.879797 0.475349i \(-0.157678\pi\)
0.0282341 + 0.999601i \(0.491012\pi\)
\(54\) 2.30272 2.15819i 0.313361 0.293693i
\(55\) 1.06158 0.143144
\(56\) −0.168690 + 7.48141i −0.0225422 + 0.999746i
\(57\) −6.15823 −0.815678
\(58\) 3.17626 2.97690i 0.417064 0.390886i
\(59\) −3.31455 1.91365i −0.431517 0.249137i 0.268476 0.963287i \(-0.413480\pi\)
−0.699993 + 0.714150i \(0.746813\pi\)
\(60\) −5.22448 0.338897i −0.674477 0.0437515i
\(61\) −6.51711 11.2880i −0.834430 1.44528i −0.894494 0.447080i \(-0.852464\pi\)
0.0600638 0.998195i \(-0.480870\pi\)
\(62\) −13.1808 + 3.07800i −1.67396 + 0.390907i
\(63\) −10.0147 1.89675i −1.26174 0.238968i
\(64\) 1.54487 7.84942i 0.193109 0.981177i
\(65\) −0.415720 0.720048i −0.0515637 0.0893110i
\(66\) −3.76118 1.13956i −0.462969 0.140270i
\(67\) −7.36855 + 12.7627i −0.900212 + 1.55921i −0.0729933 + 0.997332i \(0.523255\pi\)
−0.827219 + 0.561880i \(0.810078\pi\)
\(68\) −5.31451 + 7.96533i −0.644479 + 0.965938i
\(69\) −3.99567 −0.481022
\(70\) 2.00597 + 3.15849i 0.239759 + 0.377512i
\(71\) 9.99651i 1.18637i −0.805067 0.593184i \(-0.797871\pi\)
0.805067 0.593184i \(-0.202129\pi\)
\(72\) 10.2020 + 3.82800i 1.20232 + 0.451134i
\(73\) −7.06104 4.07669i −0.826432 0.477141i 0.0261973 0.999657i \(-0.491660\pi\)
−0.852630 + 0.522516i \(0.824994\pi\)
\(74\) −15.7313 4.76624i −1.82872 0.554064i
\(75\) −2.26702 + 1.30886i −0.261773 + 0.151135i
\(76\) −2.08382 4.21840i −0.239030 0.483884i
\(77\) 0.927176 + 2.65124i 0.105662 + 0.302137i
\(78\) 0.699953 + 2.99737i 0.0792541 + 0.339386i
\(79\) −8.17894 + 4.72211i −0.920202 + 0.531279i −0.883700 0.468055i \(-0.844955\pi\)
−0.0365026 + 0.999334i \(0.511622\pi\)
\(80\) −1.53571 3.69345i −0.171698 0.412941i
\(81\) 2.85786 4.94996i 0.317540 0.549995i
\(82\) −9.04171 + 8.47421i −0.998490 + 0.935819i
\(83\) 13.7576i 1.51010i 0.655669 + 0.755049i \(0.272387\pi\)
−0.655669 + 0.755049i \(0.727613\pi\)
\(84\) −3.71663 13.3438i −0.405517 1.45593i
\(85\) 4.78776i 0.519305i
\(86\) 4.83043 + 5.15392i 0.520879 + 0.555761i
\(87\) −4.02894 + 6.97833i −0.431948 + 0.748156i
\(88\) −0.492104 2.96202i −0.0524585 0.315752i
\(89\) 10.1864 5.88110i 1.07975 0.623396i 0.148923 0.988849i \(-0.452419\pi\)
0.930830 + 0.365453i \(0.119086\pi\)
\(90\) 5.30552 1.23896i 0.559251 0.130598i
\(91\) 1.43519 1.66712i 0.150449 0.174761i
\(92\) −1.35205 2.73704i −0.140961 0.285356i
\(93\) 21.6976 12.5271i 2.24993 1.29900i
\(94\) 1.44243 4.76083i 0.148776 0.491043i
\(95\) −2.03733 1.17625i −0.209026 0.120681i
\(96\) 1.47625 + 14.7343i 0.150670 + 1.50382i
\(97\) 6.01605i 0.610837i −0.952218 0.305418i \(-0.901204\pi\)
0.952218 0.305418i \(-0.0987963\pi\)
\(98\) −6.13615 + 7.76837i −0.619845 + 0.784724i
\(99\) 4.08976 0.411036
\(100\) −1.66369 1.11002i −0.166369 0.111002i
\(101\) −6.35344 + 11.0045i −0.632191 + 1.09499i 0.354912 + 0.934900i \(0.384511\pi\)
−0.987103 + 0.160087i \(0.948822\pi\)
\(102\) 5.13941 16.9629i 0.508878 1.67958i
\(103\) 0.337209 + 0.584063i 0.0332262 + 0.0575495i 0.882160 0.470949i \(-0.156088\pi\)
−0.848934 + 0.528499i \(0.822755\pi\)
\(104\) −1.81636 + 1.49372i −0.178108 + 0.146471i
\(105\) −5.24880 4.51859i −0.512230 0.440969i
\(106\) −2.45483 10.5122i −0.238434 1.02103i
\(107\) −3.79703 6.57665i −0.367073 0.635789i 0.622033 0.782991i \(-0.286307\pi\)
−0.989107 + 0.147201i \(0.952973\pi\)
\(108\) −4.45389 0.288912i −0.428576 0.0278006i
\(109\) −2.84932 1.64505i −0.272915 0.157568i 0.357297 0.933991i \(-0.383699\pi\)
−0.630212 + 0.776423i \(0.717032\pi\)
\(110\) −1.02665 1.09540i −0.0978874 0.104443i
\(111\) 30.4259 2.88790
\(112\) 7.88290 7.06116i 0.744864 0.667217i
\(113\) 15.0551 1.41626 0.708132 0.706080i \(-0.249538\pi\)
0.708132 + 0.706080i \(0.249538\pi\)
\(114\) 5.95558 + 6.35442i 0.557791 + 0.595146i
\(115\) −1.32189 0.763194i −0.123267 0.0711682i
\(116\) −6.14348 0.398511i −0.570408 0.0370008i
\(117\) −1.60156 2.77399i −0.148065 0.256455i
\(118\) 1.23086 + 5.27082i 0.113309 + 0.485219i
\(119\) −11.9571 + 4.18157i −1.09611 + 0.383324i
\(120\) 4.70286 + 5.71867i 0.429311 + 0.522040i
\(121\) 4.93652 + 8.55030i 0.448774 + 0.777300i
\(122\) −5.34492 + 17.6412i −0.483907 + 1.59716i
\(123\) 11.4690 19.8649i 1.03412 1.79116i
\(124\) 15.9231 + 10.6240i 1.42994 + 0.954060i
\(125\) −1.00000 −0.0894427
\(126\) 7.72800 + 12.1681i 0.688465 + 1.08402i
\(127\) 9.06617i 0.804493i −0.915531 0.402246i \(-0.868230\pi\)
0.915531 0.402246i \(-0.131770\pi\)
\(128\) −9.59352 + 5.99703i −0.847955 + 0.530068i
\(129\) −11.3233 6.53751i −0.996961 0.575596i
\(130\) −0.340948 + 1.12532i −0.0299031 + 0.0986969i
\(131\) −10.0620 + 5.80928i −0.879119 + 0.507559i −0.870368 0.492402i \(-0.836119\pi\)
−0.00875088 + 0.999962i \(0.502786\pi\)
\(132\) 2.46154 + 4.98306i 0.214250 + 0.433719i
\(133\) 1.15824 6.11544i 0.100432 0.530276i
\(134\) 20.2954 4.73942i 1.75325 0.409424i
\(135\) −1.93265 + 1.11581i −0.166336 + 0.0960340i
\(136\) 13.3587 2.21940i 1.14550 0.190312i
\(137\) −0.257971 + 0.446818i −0.0220399 + 0.0381743i −0.876835 0.480791i \(-0.840349\pi\)
0.854795 + 0.518966i \(0.173683\pi\)
\(138\) 3.86418 + 4.12296i 0.328941 + 0.350970i
\(139\) 9.35115i 0.793154i −0.918001 0.396577i \(-0.870198\pi\)
0.918001 0.396577i \(-0.129802\pi\)
\(140\) 1.31916 5.12443i 0.111489 0.433094i
\(141\) 9.20796i 0.775450i
\(142\) −10.3150 + 9.66755i −0.865614 + 0.811283i
\(143\) −0.441322 + 0.764392i −0.0369052 + 0.0639217i
\(144\) −5.91633 14.2290i −0.493027 1.18575i
\(145\) −2.66580 + 1.53910i −0.221382 + 0.127815i
\(146\) 2.62211 + 11.2285i 0.217008 + 0.929280i
\(147\) 6.70066 17.0550i 0.552661 1.40667i
\(148\) 10.2955 + 20.8418i 0.846285 + 1.71319i
\(149\) 3.15569 1.82194i 0.258524 0.149259i −0.365137 0.930954i \(-0.618978\pi\)
0.623661 + 0.781695i \(0.285644\pi\)
\(150\) 3.54298 + 1.07345i 0.289283 + 0.0876468i
\(151\) 14.1378 + 8.16245i 1.15052 + 0.664251i 0.949013 0.315237i \(-0.102084\pi\)
0.201503 + 0.979488i \(0.435417\pi\)
\(152\) −2.33755 + 6.22979i −0.189600 + 0.505303i
\(153\) 18.4449i 1.49118i
\(154\) 1.83904 3.52071i 0.148194 0.283707i
\(155\) 9.57096 0.768758
\(156\) 2.41594 3.62099i 0.193430 0.289911i
\(157\) −7.61469 + 13.1890i −0.607719 + 1.05260i 0.383897 + 0.923376i \(0.374582\pi\)
−0.991615 + 0.129224i \(0.958751\pi\)
\(158\) 12.7823 + 3.87278i 1.01691 + 0.308102i
\(159\) 9.99086 + 17.3047i 0.792327 + 1.37235i
\(160\) −2.32595 + 5.15655i −0.183882 + 0.407661i
\(161\) 0.751504 3.96790i 0.0592268 0.312715i
\(162\) −7.87147 + 1.83816i −0.618441 + 0.144420i
\(163\) −2.76559 4.79015i −0.216618 0.375193i 0.737154 0.675725i \(-0.236169\pi\)
−0.953772 + 0.300532i \(0.902836\pi\)
\(164\) 17.4884 + 1.13442i 1.36561 + 0.0885834i
\(165\) 2.40663 + 1.38947i 0.187356 + 0.108170i
\(166\) 14.1959 13.3049i 1.10182 1.03266i
\(167\) 11.1473 0.862608 0.431304 0.902207i \(-0.358054\pi\)
0.431304 + 0.902207i \(0.358054\pi\)
\(168\) −10.1746 + 16.7397i −0.784986 + 1.29150i
\(169\) −12.3087 −0.946824
\(170\) 4.94029 4.63021i 0.378903 0.355121i
\(171\) −7.84883 4.53153i −0.600215 0.346534i
\(172\) 0.646638 9.96864i 0.0493057 0.760101i
\(173\) −0.910856 1.57765i −0.0692511 0.119946i 0.829321 0.558773i \(-0.188728\pi\)
−0.898572 + 0.438826i \(0.855394\pi\)
\(174\) 11.0970 2.59140i 0.841262 0.196453i
\(175\) −0.873389 2.49744i −0.0660220 0.188789i
\(176\) −2.58047 + 3.37233i −0.194510 + 0.254199i
\(177\) −5.00943 8.67659i −0.376532 0.652172i
\(178\) −15.9196 4.82332i −1.19323 0.361523i
\(179\) −1.28415 + 2.22422i −0.0959822 + 0.166246i −0.910018 0.414569i \(-0.863933\pi\)
0.814036 + 0.580815i \(0.197266\pi\)
\(180\) −6.40936 4.27636i −0.477726 0.318741i
\(181\) −11.7984 −0.876969 −0.438484 0.898739i \(-0.644485\pi\)
−0.438484 + 0.898739i \(0.644485\pi\)
\(182\) −3.10819 + 0.131344i −0.230394 + 0.00973589i
\(183\) 34.1200i 2.52223i
\(184\) −1.51668 + 4.04210i −0.111811 + 0.297987i
\(185\) 10.0658 + 5.81151i 0.740055 + 0.427271i
\(186\) −33.9097 10.2739i −2.48638 0.753322i
\(187\) 4.40167 2.54131i 0.321882 0.185839i
\(188\) −6.30747 + 3.11578i −0.460020 + 0.227242i
\(189\) −4.47463 3.85212i −0.325481 0.280201i
\(190\) 0.756562 + 3.23979i 0.0548868 + 0.235039i
\(191\) −1.34645 + 0.777371i −0.0974254 + 0.0562486i −0.547921 0.836530i \(-0.684581\pi\)
0.450496 + 0.892779i \(0.351247\pi\)
\(192\) 13.7761 15.7728i 0.994203 1.13830i
\(193\) −1.46380 + 2.53537i −0.105367 + 0.182500i −0.913888 0.405967i \(-0.866935\pi\)
0.808521 + 0.588467i \(0.200268\pi\)
\(194\) −6.20771 + 5.81808i −0.445687 + 0.417713i
\(195\) 2.17648i 0.155861i
\(196\) 13.9501 1.18110i 0.996435 0.0843644i
\(197\) 8.32978i 0.593473i −0.954959 0.296736i \(-0.904102\pi\)
0.954959 0.296736i \(-0.0958982\pi\)
\(198\) −3.95518 4.22005i −0.281082 0.299906i
\(199\) −8.17280 + 14.1557i −0.579355 + 1.00347i 0.416199 + 0.909274i \(0.363362\pi\)
−0.995553 + 0.0941979i \(0.969971\pi\)
\(200\) 0.463556 + 2.79018i 0.0327784 + 0.197296i
\(201\) −33.4093 + 19.2889i −2.35651 + 1.36053i
\(202\) 17.4994 4.08651i 1.23126 0.287526i
\(203\) −6.17208 5.31343i −0.433195 0.372929i
\(204\) −22.4736 + 11.1016i −1.57347 + 0.777267i
\(205\) 7.58860 4.38128i 0.530010 0.306002i
\(206\) 0.276558 0.912796i 0.0192687 0.0635975i
\(207\) −5.09259 2.94021i −0.353960 0.204359i
\(208\) 3.29789 + 0.429658i 0.228667 + 0.0297914i
\(209\) 2.49739i 0.172748i
\(210\) 0.413528 + 9.78591i 0.0285362 + 0.675292i
\(211\) 11.9709 0.824112 0.412056 0.911159i \(-0.364811\pi\)
0.412056 + 0.911159i \(0.364811\pi\)
\(212\) −8.47304 + 12.6993i −0.581931 + 0.872192i
\(213\) 13.0841 22.6623i 0.896506 1.55279i
\(214\) −3.11409 + 10.2782i −0.212875 + 0.702606i
\(215\) −2.49740 4.32562i −0.170321 0.295005i
\(216\) 4.00921 + 4.87519i 0.272792 + 0.331715i
\(217\) 8.35917 + 23.9029i 0.567458 + 1.62263i
\(218\) 1.05809 + 4.53101i 0.0716631 + 0.306879i
\(219\) −10.6717 18.4839i −0.721125 1.24903i
\(220\) −0.137435 + 2.11872i −0.00926589 + 0.142844i
\(221\) −3.44742 1.99037i −0.231898 0.133887i
\(222\) −29.4247 31.3952i −1.97486 2.10711i
\(223\) −26.5000 −1.77457 −0.887285 0.461222i \(-0.847411\pi\)
−0.887285 + 0.461222i \(0.847411\pi\)
\(224\) −14.9096 1.30523i −0.996190 0.0872097i
\(225\) −3.85251 −0.256834
\(226\) −14.5597 15.5347i −0.968495 1.03335i
\(227\) −8.49854 4.90663i −0.564068 0.325665i 0.190709 0.981647i \(-0.438921\pi\)
−0.754777 + 0.655982i \(0.772255\pi\)
\(228\) 0.797259 12.2906i 0.0527998 0.813967i
\(229\) 10.1949 + 17.6581i 0.673698 + 1.16688i 0.976848 + 0.213937i \(0.0686287\pi\)
−0.303149 + 0.952943i \(0.598038\pi\)
\(230\) 0.490883 + 2.10208i 0.0323679 + 0.138607i
\(231\) −1.36819 + 7.22397i −0.0900202 + 0.475302i
\(232\) 5.53011 + 6.72460i 0.363070 + 0.441491i
\(233\) 9.40026 + 16.2817i 0.615831 + 1.06665i 0.990238 + 0.139387i \(0.0445131\pi\)
−0.374407 + 0.927265i \(0.622154\pi\)
\(234\) −1.31350 + 4.33529i −0.0858664 + 0.283407i
\(235\) −1.75877 + 3.04628i −0.114729 + 0.198717i
\(236\) 4.24839 6.36744i 0.276547 0.414485i
\(237\) −24.7224 −1.60589
\(238\) 15.8784 + 8.29408i 1.02925 + 0.537626i
\(239\) 17.6775i 1.14346i −0.820442 0.571730i \(-0.806273\pi\)
0.820442 0.571730i \(-0.193727\pi\)
\(240\) 1.35275 10.3832i 0.0873194 0.670231i
\(241\) 2.91495 + 1.68295i 0.187768 + 0.108408i 0.590937 0.806717i \(-0.298758\pi\)
−0.403169 + 0.915126i \(0.632091\pi\)
\(242\) 4.04863 13.3627i 0.260255 0.858988i
\(243\) 18.7556 10.8285i 1.20317 0.694651i
\(244\) 23.3723 11.5455i 1.49626 0.739126i
\(245\) 5.47438 4.36247i 0.349746 0.278708i
\(246\) −31.5893 + 7.37681i −2.01406 + 0.470328i
\(247\) 1.69392 0.977985i 0.107782 0.0622277i
\(248\) −4.43668 26.7047i −0.281730 1.69575i
\(249\) −18.0069 + 31.1888i −1.14114 + 1.97651i
\(250\) 0.967093 + 1.03186i 0.0611643 + 0.0652604i
\(251\) 11.8507i 0.748011i −0.927426 0.374006i \(-0.877984\pi\)
0.927426 0.374006i \(-0.122016\pi\)
\(252\) 5.08207 19.7419i 0.320141 1.24362i
\(253\) 1.62039i 0.101873i
\(254\) −9.35501 + 8.76783i −0.586985 + 0.550143i
\(255\) −6.26653 + 10.8539i −0.392425 + 0.679700i
\(256\) 15.4659 + 4.09946i 0.966619 + 0.256216i
\(257\) 8.52403 4.92135i 0.531714 0.306985i −0.210000 0.977701i \(-0.567346\pi\)
0.741714 + 0.670716i \(0.234013\pi\)
\(258\) 4.20490 + 18.0064i 0.261786 + 1.12103i
\(259\) −5.72250 + 30.2145i −0.355579 + 1.87744i
\(260\) 1.49090 0.736477i 0.0924615 0.0456744i
\(261\) −10.2700 + 5.92938i −0.635697 + 0.367020i
\(262\) 15.7252 + 4.76441i 0.971507 + 0.294346i
\(263\) 7.04488 + 4.06736i 0.434406 + 0.250804i 0.701222 0.712943i \(-0.252638\pi\)
−0.266816 + 0.963747i \(0.585972\pi\)
\(264\) 2.76127 7.35904i 0.169944 0.452918i
\(265\) 7.63323i 0.468905i
\(266\) −7.43039 + 4.71906i −0.455586 + 0.289344i
\(267\) 30.7903 1.88433
\(268\) −24.5179 16.3585i −1.49767 0.999254i
\(269\) −12.5033 + 21.6564i −0.762342 + 1.32041i 0.179299 + 0.983795i \(0.442617\pi\)
−0.941640 + 0.336620i \(0.890716\pi\)
\(270\) 3.02041 + 0.915121i 0.183816 + 0.0556925i
\(271\) −4.77233 8.26592i −0.289898 0.502119i 0.683887 0.729588i \(-0.260288\pi\)
−0.973785 + 0.227469i \(0.926955\pi\)
\(272\) −15.2092 11.6379i −0.922194 0.705654i
\(273\) 5.43563 1.90092i 0.328980 0.115049i
\(274\) 0.710535 0.165926i 0.0429250 0.0100239i
\(275\) 0.530792 + 0.919359i 0.0320080 + 0.0554395i
\(276\) 0.517289 7.97458i 0.0311371 0.480013i
\(277\) 1.14340 + 0.660142i 0.0687002 + 0.0396641i 0.533957 0.845512i \(-0.320705\pi\)
−0.465256 + 0.885176i \(0.654038\pi\)
\(278\) −9.64906 + 9.04343i −0.578712 + 0.542389i
\(279\) 36.8722 2.20748
\(280\) −6.56344 + 3.59462i −0.392241 + 0.214819i
\(281\) 27.6475 1.64931 0.824656 0.565634i \(-0.191369\pi\)
0.824656 + 0.565634i \(0.191369\pi\)
\(282\) 9.50131 8.90496i 0.565795 0.530282i
\(283\) 0.646465 + 0.373237i 0.0384284 + 0.0221866i 0.519091 0.854719i \(-0.326271\pi\)
−0.480663 + 0.876906i \(0.659604\pi\)
\(284\) 19.9511 + 1.29417i 1.18388 + 0.0767950i
\(285\) −3.07912 5.33318i −0.182391 0.315911i
\(286\) 1.21554 0.283857i 0.0718766 0.0167848i
\(287\) 17.5698 + 15.1255i 1.03711 + 0.892829i
\(288\) −8.96072 + 19.8656i −0.528015 + 1.17059i
\(289\) 2.96131 + 5.12914i 0.174195 + 0.301714i
\(290\) 4.16620 + 1.26227i 0.244648 + 0.0741232i
\(291\) 7.87419 13.6385i 0.461593 0.799503i
\(292\) 9.05043 13.5647i 0.529636 0.793813i
\(293\) −9.44068 −0.551530 −0.275765 0.961225i \(-0.588931\pi\)
−0.275765 + 0.961225i \(0.588931\pi\)
\(294\) −24.0785 + 9.57967i −1.40429 + 0.558697i
\(295\) 3.82731i 0.222835i
\(296\) 11.5491 30.7795i 0.671278 1.78902i
\(297\) 2.05167 + 1.18453i 0.119050 + 0.0687335i
\(298\) −4.93183 1.49424i −0.285693 0.0865591i
\(299\) 1.09907 0.634550i 0.0635610 0.0366970i
\(300\) −2.31875 4.69398i −0.133873 0.271007i
\(301\) 8.62176 10.0150i 0.496950 0.577257i
\(302\) −5.25006 22.4820i −0.302107 1.29370i
\(303\) −28.8068 + 16.6316i −1.65491 + 0.955460i
\(304\) 8.68888 3.61277i 0.498342 0.207207i
\(305\) 6.51711 11.2880i 0.373168 0.646347i
\(306\) 19.0325 17.8379i 1.08801 1.01972i
\(307\) 10.3689i 0.591782i 0.955222 + 0.295891i \(0.0956165\pi\)
−0.955222 + 0.295891i \(0.904384\pi\)
\(308\) −5.41140 + 1.50723i −0.308343 + 0.0858823i
\(309\) 1.76544i 0.100433i
\(310\) −9.25601 9.87588i −0.525706 0.560912i
\(311\) −10.3775 + 17.9743i −0.588454 + 1.01923i 0.405981 + 0.913881i \(0.366930\pi\)
−0.994435 + 0.105350i \(0.966404\pi\)
\(312\) −6.07279 + 1.00892i −0.343804 + 0.0571190i
\(313\) 0.926714 0.535039i 0.0523810 0.0302422i −0.473581 0.880750i \(-0.657039\pi\)
0.525962 + 0.850508i \(0.323705\pi\)
\(314\) 20.9733 4.89774i 1.18359 0.276396i
\(315\) −3.36473 9.62139i −0.189581 0.542104i
\(316\) −8.36555 16.9349i −0.470599 0.952663i
\(317\) 9.56540 5.52258i 0.537246 0.310179i −0.206716 0.978401i \(-0.566278\pi\)
0.743962 + 0.668222i \(0.232944\pi\)
\(318\) 8.19388 27.0444i 0.459490 1.51657i
\(319\) 2.82997 + 1.63388i 0.158448 + 0.0914799i
\(320\) 7.57023 2.58681i 0.423189 0.144607i
\(321\) 19.8792i 1.10955i
\(322\) −4.82109 + 3.06189i −0.268669 + 0.170632i
\(323\) −11.2632 −0.626704
\(324\) 9.50917 + 6.34457i 0.528287 + 0.352476i
\(325\) 0.415720 0.720048i 0.0230600 0.0399411i
\(326\) −2.26817 + 7.48622i −0.125622 + 0.414623i
\(327\) −4.30631 7.45874i −0.238139 0.412469i
\(328\) −15.7423 19.1426i −0.869223 1.05697i
\(329\) −9.14398 1.73183i −0.504124 0.0954789i
\(330\) −0.893702 3.82705i −0.0491967 0.210672i
\(331\) 12.8859 + 22.3190i 0.708271 + 1.22676i 0.965498 + 0.260410i \(0.0838578\pi\)
−0.257227 + 0.966351i \(0.582809\pi\)
\(332\) −27.4576 1.78110i −1.50693 0.0977504i
\(333\) 38.7787 + 22.3889i 2.12506 + 1.22690i
\(334\) −10.7805 11.5025i −0.589884 0.629388i
\(335\) −14.7371 −0.805174
\(336\) 27.1128 5.69014i 1.47912 0.310423i
\(337\) −16.8577 −0.918299 −0.459149 0.888359i \(-0.651846\pi\)
−0.459149 + 0.888359i \(0.651846\pi\)
\(338\) 11.9037 + 12.7008i 0.647474 + 0.690835i
\(339\) 34.1302 + 19.7051i 1.85370 + 1.07023i
\(340\) −9.55543 0.619835i −0.518216 0.0336152i
\(341\) −5.08019 8.79916i −0.275108 0.476501i
\(342\) 2.91466 + 12.4813i 0.157607 + 0.674911i
\(343\) 15.6763 + 9.86180i 0.846438 + 0.532487i
\(344\) −10.9116 + 8.97336i −0.588313 + 0.483811i
\(345\) −1.99783 3.46035i −0.107560 0.186299i
\(346\) −0.747028 + 2.46561i −0.0401604 + 0.132552i
\(347\) −17.5896 + 30.4662i −0.944262 + 1.63551i −0.187039 + 0.982352i \(0.559889\pi\)
−0.757223 + 0.653157i \(0.773444\pi\)
\(348\) −13.4058 8.94442i −0.718626 0.479471i
\(349\) −14.2781 −0.764290 −0.382145 0.924102i \(-0.624815\pi\)
−0.382145 + 0.924102i \(0.624815\pi\)
\(350\) −1.73235 + 3.31647i −0.0925981 + 0.177273i
\(351\) 1.85546i 0.0990374i
\(352\) 5.97531 0.598675i 0.318485 0.0319095i
\(353\) −21.0137 12.1322i −1.11844 0.645734i −0.177441 0.984132i \(-0.556782\pi\)
−0.941003 + 0.338398i \(0.890115\pi\)
\(354\) −4.10842 + 13.5601i −0.218360 + 0.720710i
\(355\) 8.65723 4.99825i 0.459478 0.265280i
\(356\) 10.4188 + 21.0914i 0.552195 + 1.11784i
\(357\) −32.5801 6.17054i −1.72432 0.326580i
\(358\) 3.53698 0.825963i 0.186935 0.0436535i
\(359\) 7.32290 4.22788i 0.386488 0.223139i −0.294149 0.955759i \(-0.595036\pi\)
0.680637 + 0.732620i \(0.261703\pi\)
\(360\) 1.78585 + 10.7492i 0.0941227 + 0.566532i
\(361\) −6.73285 + 11.6616i −0.354361 + 0.613771i
\(362\) 11.4102 + 12.1743i 0.599704 + 0.639866i
\(363\) 25.8449i 1.35651i
\(364\) 3.14144 + 3.08019i 0.164656 + 0.161446i
\(365\) 8.15339i 0.426768i
\(366\) −35.2070 + 32.9972i −1.84030 + 1.72479i
\(367\) 11.3411 19.6433i 0.592000 1.02537i −0.401963 0.915656i \(-0.631672\pi\)
0.993963 0.109718i \(-0.0349947\pi\)
\(368\) 5.63764 2.34409i 0.293882 0.122194i
\(369\) 29.2351 16.8789i 1.52192 0.878680i
\(370\) −3.73794 16.0068i −0.194326 0.832153i
\(371\) −19.0635 + 6.66677i −0.989728 + 0.346122i
\(372\) 22.1926 + 44.9259i 1.15063 + 2.32930i
\(373\) −17.9804 + 10.3810i −0.930992 + 0.537508i −0.887125 0.461529i \(-0.847301\pi\)
−0.0438667 + 0.999037i \(0.513968\pi\)
\(374\) −6.87909 2.08422i −0.355709 0.107772i
\(375\) −2.26702 1.30886i −0.117068 0.0675895i
\(376\) 9.31496 + 3.49517i 0.480382 + 0.180249i
\(377\) 2.55934i 0.131812i
\(378\) 0.352535 + 8.34254i 0.0181324 + 0.429094i
\(379\) −12.4789 −0.640997 −0.320498 0.947249i \(-0.603850\pi\)
−0.320498 + 0.947249i \(0.603850\pi\)
\(380\) 2.61133 3.91384i 0.133959 0.200776i
\(381\) 11.8664 20.5532i 0.607934 1.05297i
\(382\) 2.10427 + 0.637551i 0.107664 + 0.0326200i
\(383\) −2.86705 4.96588i −0.146499 0.253744i 0.783432 0.621478i \(-0.213467\pi\)
−0.929931 + 0.367733i \(0.880134\pi\)
\(384\) −29.5980 + 1.03877i −1.51042 + 0.0530097i
\(385\) −1.83245 + 2.12858i −0.0933905 + 0.108482i
\(386\) 4.03178 0.941509i 0.205212 0.0479216i
\(387\) −9.62123 16.6645i −0.489075 0.847102i
\(388\) 12.0069 + 0.778852i 0.609556 + 0.0395402i
\(389\) 10.6658 + 6.15789i 0.540776 + 0.312217i 0.745393 0.666625i \(-0.232262\pi\)
−0.204617 + 0.978842i \(0.565595\pi\)
\(390\) −2.24582 + 2.10486i −0.113722 + 0.106584i
\(391\) −7.30797 −0.369580
\(392\) −14.7098 13.2523i −0.742955 0.669341i
\(393\) −30.4143 −1.53420
\(394\) −8.59516 + 8.05568i −0.433018 + 0.405839i
\(395\) −8.17894 4.72211i −0.411527 0.237595i
\(396\) −0.529470 + 8.16237i −0.0266069 + 0.410174i
\(397\) −4.71322 8.16353i −0.236550 0.409716i 0.723172 0.690668i \(-0.242683\pi\)
−0.959722 + 0.280952i \(0.909350\pi\)
\(398\) 22.5105 5.25671i 1.12835 0.263495i
\(399\) 10.6300 12.3478i 0.532167 0.618165i
\(400\) 2.43077 3.17669i 0.121538 0.158834i
\(401\) −4.36749 7.56471i −0.218102 0.377764i 0.736126 0.676845i \(-0.236653\pi\)
−0.954228 + 0.299081i \(0.903320\pi\)
\(402\) 52.2133 + 15.8195i 2.60416 + 0.789007i
\(403\) −3.97884 + 6.89155i −0.198200 + 0.343293i
\(404\) −21.1403 14.1049i −1.05177 0.701745i
\(405\) 5.71572 0.284016
\(406\) 0.486269 + 11.5073i 0.0241331 + 0.571097i
\(407\) 12.3388i 0.611613i
\(408\) 33.1894 + 12.4533i 1.64312 + 0.616532i
\(409\) −1.47110 0.849342i −0.0727414 0.0419973i 0.463188 0.886260i \(-0.346705\pi\)
−0.535930 + 0.844263i \(0.680039\pi\)
\(410\) −11.8597 3.59325i −0.585710 0.177458i
\(411\) −1.16965 + 0.675297i −0.0576945 + 0.0333100i
\(412\) −1.20933 + 0.597390i −0.0595796 + 0.0294313i
\(413\) 9.55846 3.34273i 0.470341 0.164485i
\(414\) 1.89113 + 8.09829i 0.0929440 + 0.398009i
\(415\) −11.9145 + 6.87882i −0.584858 + 0.337668i
\(416\) −2.74602 3.81847i −0.134635 0.187216i
\(417\) 12.2394 21.1992i 0.599366 1.03813i
\(418\) 2.57695 2.41521i 0.126043 0.118132i
\(419\) 31.2350i 1.52593i −0.646441 0.762964i \(-0.723743\pi\)
0.646441 0.762964i \(-0.276257\pi\)
\(420\) 9.69775 9.89059i 0.473202 0.482611i
\(421\) 5.19927i 0.253397i 0.991941 + 0.126698i \(0.0404380\pi\)
−0.991941 + 0.126698i \(0.959562\pi\)
\(422\) −11.5770 12.3523i −0.563559 0.601300i
\(423\) −6.77567 + 11.7358i −0.329444 + 0.570614i
\(424\) 21.2981 3.53843i 1.03433 0.171841i
\(425\) −4.14632 + 2.39388i −0.201126 + 0.116120i
\(426\) −36.0378 + 8.41562i −1.74604 + 0.407738i
\(427\) 33.8829 + 6.41729i 1.63971 + 0.310554i
\(428\) 13.6173 6.72671i 0.658217 0.325148i
\(429\) −2.00097 + 1.15526i −0.0966078 + 0.0557766i
\(430\) −2.04821 + 6.76023i −0.0987734 + 0.326007i
\(431\) 6.96178 + 4.01939i 0.335337 + 0.193607i 0.658208 0.752836i \(-0.271315\pi\)
−0.322871 + 0.946443i \(0.604648\pi\)
\(432\) 1.15322 8.85170i 0.0554845 0.425878i
\(433\) 1.55972i 0.0749554i −0.999297 0.0374777i \(-0.988068\pi\)
0.999297 0.0374777i \(-0.0119323\pi\)
\(434\) 16.5803 31.7418i 0.795879 1.52365i
\(435\) −8.05788 −0.386346
\(436\) 3.65209 5.47371i 0.174903 0.262143i
\(437\) 1.79542 3.10976i 0.0858866 0.148760i
\(438\) −8.75225 + 28.8873i −0.418198 + 1.38029i
\(439\) −14.5960 25.2810i −0.696628 1.20659i −0.969629 0.244581i \(-0.921350\pi\)
0.273001 0.962014i \(-0.411984\pi\)
\(440\) 2.31913 1.90718i 0.110560 0.0909214i
\(441\) 21.0901 16.8064i 1.00429 0.800306i
\(442\) 1.28020 + 5.48211i 0.0608927 + 0.260758i
\(443\) 0.172721 + 0.299162i 0.00820624 + 0.0142136i 0.870099 0.492876i \(-0.164055\pi\)
−0.861893 + 0.507090i \(0.830721\pi\)
\(444\) −3.93901 + 60.7242i −0.186937 + 2.88184i
\(445\) 10.1864 + 5.88110i 0.482880 + 0.278791i
\(446\) 25.6279 + 27.3442i 1.21352 + 1.29479i
\(447\) 9.53869 0.451164
\(448\) 13.0722 + 16.6469i 0.617601 + 0.786491i
\(449\) 31.8546 1.50331 0.751656 0.659555i \(-0.229255\pi\)
0.751656 + 0.659555i \(0.229255\pi\)
\(450\) 3.72573 + 3.97524i 0.175633 + 0.187395i
\(451\) −8.05594 4.65110i −0.379339 0.219012i
\(452\) −1.94907 + 30.0470i −0.0916764 + 1.41329i
\(453\) 21.3671 + 37.0089i 1.00391 + 1.73883i
\(454\) 3.15593 + 13.5145i 0.148115 + 0.634265i
\(455\) 2.16136 + 0.409353i 0.101326 + 0.0191907i
\(456\) −13.4532 + 11.0635i −0.630004 + 0.518097i
\(457\) −8.96314 15.5246i −0.419278 0.726211i 0.576589 0.817034i \(-0.304383\pi\)
−0.995867 + 0.0908235i \(0.971050\pi\)
\(458\) 8.36123 27.5967i 0.390695 1.28951i
\(459\) −5.34225 + 9.25304i −0.249355 + 0.431895i
\(460\) 1.69432 2.53943i 0.0789982 0.118402i
\(461\) −7.34814 −0.342237 −0.171119 0.985250i \(-0.554738\pi\)
−0.171119 + 0.985250i \(0.554738\pi\)
\(462\) 8.77727 5.57447i 0.408356 0.259348i
\(463\) 38.4082i 1.78498i 0.451069 + 0.892489i \(0.351043\pi\)
−0.451069 + 0.892489i \(0.648957\pi\)
\(464\) 1.59070 12.2096i 0.0738464 0.566816i
\(465\) 21.6976 + 12.5271i 1.00620 + 0.580930i
\(466\) 7.70951 25.4457i 0.357136 1.17875i
\(467\) 1.63140 0.941892i 0.0754924 0.0435855i −0.461779 0.886995i \(-0.652789\pi\)
0.537271 + 0.843410i \(0.319455\pi\)
\(468\) 5.74369 2.83728i 0.265502 0.131153i
\(469\) −12.8712 36.8050i −0.594338 1.69950i
\(470\) 4.84422 1.13123i 0.223447 0.0521799i
\(471\) −34.5253 + 19.9332i −1.59084 + 0.918474i
\(472\) −10.6789 + 1.77417i −0.491536 + 0.0816630i
\(473\) −2.65120 + 4.59201i −0.121902 + 0.211141i
\(474\) 23.9089 + 25.5100i 1.09817 + 1.17171i
\(475\) 2.35251i 0.107941i
\(476\) −6.79761 24.4054i −0.311568 1.11862i
\(477\) 29.4070i 1.34646i
\(478\) −18.2406 + 17.0957i −0.834307 + 0.781941i
\(479\) −2.87010 + 4.97116i −0.131138 + 0.227138i −0.924116 0.382113i \(-0.875197\pi\)
0.792977 + 0.609251i \(0.208530\pi\)
\(480\) −12.0222 + 8.64565i −0.548735 + 0.394618i
\(481\) −8.36914 + 4.83192i −0.381600 + 0.220317i
\(482\) −1.08246 4.63538i −0.0493049 0.211136i
\(483\) 6.89712 8.01170i 0.313830 0.364545i
\(484\) −17.7038 + 8.74539i −0.804720 + 0.397518i
\(485\) 5.21005 3.00802i 0.236576 0.136587i
\(486\) −29.3119 8.88090i −1.32962 0.402846i
\(487\) −8.46493 4.88723i −0.383583 0.221461i 0.295793 0.955252i \(-0.404416\pi\)
−0.679376 + 0.733790i \(0.737749\pi\)
\(488\) −34.5165 12.9513i −1.56249 0.586278i
\(489\) 14.4791i 0.654769i
\(490\) −9.79569 1.42988i −0.442524 0.0645952i
\(491\) −6.81442 −0.307530 −0.153765 0.988107i \(-0.549140\pi\)
−0.153765 + 0.988107i \(0.549140\pi\)
\(492\) 38.1616 + 25.4616i 1.72046 + 1.14790i
\(493\) −7.36883 + 12.7632i −0.331875 + 0.574825i
\(494\) −2.64732 0.802082i −0.119109 0.0360874i
\(495\) 2.04488 + 3.54184i 0.0919105 + 0.159194i
\(496\) −23.2648 + 30.4040i −1.04462 + 1.36518i
\(497\) 20.0440 + 17.2555i 0.899094 + 0.774013i
\(498\) 49.5968 11.5820i 2.22249 0.519000i
\(499\) −10.3761 17.9719i −0.464497 0.804532i 0.534682 0.845053i \(-0.320431\pi\)
−0.999179 + 0.0405216i \(0.987098\pi\)
\(500\) 0.129462 1.99581i 0.00578973 0.0892551i
\(501\) 25.2713 + 14.5904i 1.12904 + 0.651850i
\(502\) −12.2283 + 11.4608i −0.545774 + 0.511518i
\(503\) 15.9862 0.712789 0.356395 0.934336i \(-0.384006\pi\)
0.356395 + 0.934336i \(0.384006\pi\)
\(504\) −25.2857 + 13.8483i −1.12631 + 0.616851i
\(505\) −12.7069 −0.565449
\(506\) 1.67201 1.56707i 0.0743300 0.0696647i
\(507\) −27.9041 16.1104i −1.23926 0.715489i
\(508\) 18.0943 + 1.17373i 0.802806 + 0.0520758i
\(509\) −4.40064 7.62213i −0.195055 0.337845i 0.751864 0.659319i \(-0.229155\pi\)
−0.946919 + 0.321474i \(0.895822\pi\)
\(510\) 17.2600 4.03060i 0.764287 0.178478i
\(511\) 20.3626 7.12108i 0.900787 0.315018i
\(512\) −10.7269 19.9232i −0.474067 0.880489i
\(513\) −2.62496 4.54657i −0.115895 0.200736i
\(514\) −13.3217 4.03618i −0.587593 0.178028i
\(515\) −0.337209 + 0.584063i −0.0148592 + 0.0257369i
\(516\) 14.5135 21.7527i 0.638923 0.957611i
\(517\) 3.73417 0.164228
\(518\) 36.7113 23.3154i 1.61300 1.02442i
\(519\) 4.76875i 0.209325i
\(520\) −2.20178 0.826152i −0.0965542 0.0362291i
\(521\) −18.9597 10.9464i −0.830641 0.479571i 0.0234312 0.999725i \(-0.492541\pi\)
−0.854072 + 0.520155i \(0.825874\pi\)
\(522\) 16.0503 + 4.86291i 0.702503 + 0.212844i
\(523\) −2.23839 + 1.29233i −0.0978779 + 0.0565099i −0.548140 0.836387i \(-0.684664\pi\)
0.450262 + 0.892896i \(0.351331\pi\)
\(524\) −10.2916 20.8338i −0.449588 0.910130i
\(525\) 1.28882 6.80489i 0.0562486 0.296990i
\(526\) −2.61611 11.2028i −0.114068 0.488467i
\(527\) 39.6843 22.9117i 1.72867 0.998050i
\(528\) −10.2639 + 4.26765i −0.446679 + 0.185725i
\(529\) −10.3351 + 17.9009i −0.449351 + 0.778299i
\(530\) 7.87641 7.38204i 0.342129 0.320655i
\(531\) 14.7447i 0.639867i
\(532\) 12.0553 + 3.10334i 0.522662 + 0.134547i
\(533\) 7.28554i 0.315572i
\(534\) −29.7771 31.7712i −1.28858 1.37487i
\(535\) 3.79703 6.57665i 0.164160 0.284334i
\(536\) 6.83148 + 41.1192i 0.295075 + 1.77608i
\(537\) −5.82241 + 3.36157i −0.251255 + 0.145062i
\(538\) 34.4382 8.04210i 1.48474 0.346719i
\(539\) −6.91644 2.71736i −0.297912 0.117045i
\(540\) −1.97674 4.00164i −0.0850654 0.172203i
\(541\) 19.9482 11.5171i 0.857639 0.495158i −0.00558207 0.999984i \(-0.501777\pi\)
0.863221 + 0.504826i \(0.168444\pi\)
\(542\) −3.91397 + 12.9183i −0.168119 + 0.554887i
\(543\) −26.7472 15.4425i −1.14783 0.662702i
\(544\) 2.70003 + 26.9487i 0.115763 + 1.15542i
\(545\) 3.29011i 0.140933i
\(546\) −7.21824 3.77044i −0.308912 0.161360i
\(547\) 7.90194 0.337863 0.168931 0.985628i \(-0.445968\pi\)
0.168931 + 0.985628i \(0.445968\pi\)
\(548\) −0.858365 0.572705i −0.0366675 0.0244648i
\(549\) 25.1072 43.4869i 1.07155 1.85598i
\(550\) 0.435323 1.43681i 0.0185622 0.0612657i
\(551\) −3.62074 6.27131i −0.154249 0.267167i
\(552\) −8.72890 + 7.17839i −0.371527 + 0.305533i
\(553\) 4.64978 24.5506i 0.197729 1.04400i
\(554\) −0.424601 1.81824i −0.0180396 0.0772498i
\(555\) 15.2130 + 26.3496i 0.645754 + 1.11848i
\(556\) 18.6631 + 1.21062i 0.791491 + 0.0513418i
\(557\) 3.75347 + 2.16707i 0.159040 + 0.0918216i 0.577408 0.816456i \(-0.304064\pi\)
−0.418368 + 0.908278i \(0.637398\pi\)
\(558\) −35.6588 38.0469i −1.50956 1.61065i
\(559\) 4.15287 0.175648
\(560\) 10.0566 + 3.29621i 0.424968 + 0.139290i
\(561\) 13.3049 0.561733
\(562\) −26.7377 28.5283i −1.12786 1.20339i
\(563\) −15.5194 8.96012i −0.654064 0.377624i 0.135948 0.990716i \(-0.456592\pi\)
−0.790011 + 0.613092i \(0.789925\pi\)
\(564\) −18.3773 1.19209i −0.773824 0.0501958i
\(565\) 7.52754 + 13.0381i 0.316686 + 0.548517i
\(566\) −0.240065 1.02802i −0.0100907 0.0432107i
\(567\) 4.99204 + 14.2746i 0.209646 + 0.599479i
\(568\) −17.9592 21.8383i −0.753549 0.916314i
\(569\) 2.80014 + 4.84999i 0.117388 + 0.203322i 0.918732 0.394882i \(-0.129215\pi\)
−0.801344 + 0.598204i \(0.795881\pi\)
\(570\) −2.52530 + 8.33489i −0.105773 + 0.349110i
\(571\) 11.5275 19.9663i 0.482412 0.835562i −0.517384 0.855753i \(-0.673094\pi\)
0.999796 + 0.0201912i \(0.00642748\pi\)
\(572\) −1.46844 0.979753i −0.0613987 0.0409655i
\(573\) −4.06989 −0.170022
\(574\) −1.38424 32.7572i −0.0577770 1.36726i
\(575\) 1.52639i 0.0636548i
\(576\) 29.1644 9.96571i 1.21518 0.415238i
\(577\) −1.95920 1.13114i −0.0815624 0.0470900i 0.458664 0.888610i \(-0.348328\pi\)
−0.540227 + 0.841520i \(0.681661\pi\)
\(578\) 2.42868 8.01601i 0.101020 0.333422i
\(579\) −6.63692 + 3.83183i −0.275821 + 0.159245i
\(580\) −2.72662 5.51967i −0.113217 0.229192i
\(581\) −27.5854 23.7478i −1.14443 0.985223i
\(582\) −21.6881 + 5.06465i −0.898999 + 0.209936i
\(583\) 7.01768 4.05166i 0.290643 0.167803i
\(584\) −22.7494 + 3.77955i −0.941378 + 0.156399i
\(585\) 1.60156 2.77399i 0.0662165 0.114690i
\(586\) 9.13002 + 9.74144i 0.377157 + 0.402415i
\(587\) 23.9357i 0.987932i 0.869481 + 0.493966i \(0.164453\pi\)
−0.869481 + 0.493966i \(0.835547\pi\)
\(588\) 33.1710 + 15.5812i 1.36795 + 0.642558i
\(589\) 22.5158i 0.927746i
\(590\) −3.94924 + 3.70136i −0.162588 + 0.152383i
\(591\) 10.9026 18.8838i 0.448471 0.776775i
\(592\) −42.9291 + 17.8496i −1.76438 + 0.733613i
\(593\) 22.7060 13.1093i 0.932422 0.538334i 0.0448454 0.998994i \(-0.485720\pi\)
0.887577 + 0.460660i \(0.152387\pi\)
\(594\) −0.761886 3.26258i −0.0312605 0.133865i
\(595\) −9.59991 8.26439i −0.393558 0.338807i
\(596\) 3.22769 + 6.53402i 0.132211 + 0.267644i
\(597\) −37.0558 + 21.3942i −1.51659 + 0.875606i
\(598\) −1.71767 0.520418i −0.0702408 0.0212815i
\(599\) −21.8531 12.6169i −0.892894 0.515513i −0.0180062 0.999838i \(-0.505732\pi\)
−0.874888 + 0.484325i \(0.839065\pi\)
\(600\) −2.60108 + 6.93213i −0.106189 + 0.283003i
\(601\) 36.0223i 1.46938i 0.678404 + 0.734689i \(0.262672\pi\)
−0.678404 + 0.734689i \(0.737328\pi\)
\(602\) −18.6721 + 0.789038i −0.761020 + 0.0321588i
\(603\) −56.7748 −2.31205
\(604\) −18.1210 + 27.1595i −0.737332 + 1.10511i
\(605\) −4.93652 + 8.55030i −0.200698 + 0.347619i
\(606\) 45.0203 + 13.6402i 1.82882 + 0.554095i
\(607\) −14.7983 25.6315i −0.600646 1.04035i −0.992723 0.120417i \(-0.961577\pi\)
0.392078 0.919932i \(-0.371756\pi\)
\(608\) −12.1308 5.47181i −0.491970 0.221911i
\(609\) −7.03766 20.1241i −0.285181 0.815468i
\(610\) −17.9502 + 4.19178i −0.726783 + 0.169720i
\(611\) −1.46231 2.53280i −0.0591588 0.102466i
\(612\) −36.8124 2.38792i −1.48805 0.0965258i
\(613\) −36.2849 20.9491i −1.46553 0.846126i −0.466276 0.884639i \(-0.654405\pi\)
−0.999258 + 0.0385129i \(0.987738\pi\)
\(614\) 10.6992 10.0276i 0.431784 0.404683i
\(615\) 22.9380 0.924949
\(616\) 6.78857 + 4.12616i 0.273519 + 0.166248i
\(617\) −27.0195 −1.08776 −0.543882 0.839162i \(-0.683046\pi\)
−0.543882 + 0.839162i \(0.683046\pi\)
\(618\) 1.82169 1.70735i 0.0732790 0.0686796i
\(619\) 40.2079 + 23.2141i 1.61609 + 0.933052i 0.987918 + 0.154980i \(0.0495313\pi\)
0.628176 + 0.778072i \(0.283802\pi\)
\(620\) −1.23908 + 19.1018i −0.0497626 + 0.767146i
\(621\) −1.70316 2.94997i −0.0683456 0.118378i
\(622\) 28.5830 6.67476i 1.14607 0.267634i
\(623\) −5.79103 + 30.5763i −0.232013 + 1.22501i
\(624\) 6.91402 + 5.29053i 0.276782 + 0.211791i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −1.44830 0.438805i −0.0578858 0.0175382i
\(627\) −3.26874 + 5.66163i −0.130541 + 0.226104i
\(628\) −25.3369 16.9049i −1.01105 0.674580i
\(629\) 55.6482 2.21884
\(630\) −6.67390 + 12.7767i −0.265894 + 0.509036i
\(631\) 23.9781i 0.954555i 0.878753 + 0.477277i \(0.158376\pi\)
−0.878753 + 0.477277i \(0.841624\pi\)
\(632\) −9.38415 + 25.0097i −0.373281 + 0.994832i
\(633\) 27.1383 + 15.6683i 1.07865 + 0.622759i
\(634\) −14.9491 4.52928i −0.593707 0.179881i
\(635\) 7.85154 4.53309i 0.311579 0.179890i
\(636\) −35.8302 + 17.6995i −1.42076 + 0.701831i
\(637\) 0.865375 + 5.75539i 0.0342874 + 0.228037i
\(638\) −1.05091 4.50024i −0.0416058 0.178166i
\(639\) 33.3520 19.2558i 1.31939 0.761748i
\(640\) −9.99034 5.30972i −0.394903 0.209885i
\(641\) 10.8998 18.8790i 0.430516 0.745676i −0.566401 0.824129i \(-0.691665\pi\)
0.996918 + 0.0784533i \(0.0249982\pi\)
\(642\) −20.5125 + 19.2250i −0.809565 + 0.758752i
\(643\) 7.09006i 0.279605i −0.990179 0.139802i \(-0.955353\pi\)
0.990179 0.139802i \(-0.0446467\pi\)
\(644\) 7.82187 + 2.01355i 0.308225 + 0.0793450i
\(645\) 13.0750i 0.514828i
\(646\) 10.8926 + 11.6221i 0.428564 + 0.457264i
\(647\) −6.27831 + 10.8744i −0.246826 + 0.427515i −0.962643 0.270772i \(-0.912721\pi\)
0.715817 + 0.698287i \(0.246054\pi\)
\(648\) −2.64956 15.9479i −0.104084 0.626493i
\(649\) −3.51867 + 2.03151i −0.138120 + 0.0797436i
\(650\) −1.14503 + 0.267389i −0.0449117 + 0.0104879i
\(651\) −12.3352 + 65.1293i −0.483455 + 2.55262i
\(652\) 9.91824 4.89944i 0.388428 0.191877i
\(653\) −3.51459 + 2.02915i −0.137537 + 0.0794068i −0.567189 0.823587i \(-0.691969\pi\)
0.429653 + 0.902994i \(0.358636\pi\)
\(654\) −3.53176 + 11.6568i −0.138103 + 0.455817i
\(655\) −10.0620 5.80928i −0.393154 0.226987i
\(656\) −4.52817 + 34.7565i −0.176795 + 1.35701i
\(657\) 31.4110i 1.22546i
\(658\) 7.05607 + 11.1101i 0.275074 + 0.433118i
\(659\) −15.1907 −0.591746 −0.295873 0.955227i \(-0.595610\pi\)
−0.295873 + 0.955227i \(0.595610\pi\)
\(660\) −3.08468 + 4.62329i −0.120071 + 0.179961i
\(661\) 9.77442 16.9298i 0.380181 0.658492i −0.610907 0.791702i \(-0.709195\pi\)
0.991088 + 0.133210i \(0.0425285\pi\)
\(662\) 10.5682 34.8809i 0.410744 1.35568i
\(663\) −5.21024 9.02440i −0.202349 0.350479i
\(664\) 24.7162 + 30.0548i 0.959174 + 1.16635i
\(665\) 5.87524 2.05465i 0.227832 0.0796761i
\(666\) −14.4004 61.6662i −0.558006 2.38952i
\(667\) −2.34926 4.06904i −0.0909637 0.157554i
\(668\) −1.44316 + 22.2479i −0.0558376 + 0.860799i
\(669\) −60.0760 34.6849i −2.32267 1.34099i
\(670\) 14.2521 + 15.2066i 0.550609 + 0.587482i
\(671\) −13.8369 −0.534168
\(672\) −32.0920 22.4736i −1.23798 0.866940i
\(673\) −49.5831 −1.91129 −0.955644 0.294524i \(-0.904839\pi\)
−0.955644 + 0.294524i \(0.904839\pi\)
\(674\) 16.3030 + 17.3948i 0.627968 + 0.670022i
\(675\) −1.93265 1.11581i −0.0743876 0.0429477i
\(676\) 1.59351 24.5658i 0.0612890 0.944838i
\(677\) 13.1028 + 22.6948i 0.503582 + 0.872230i 0.999991 + 0.00414150i \(0.00131829\pi\)
−0.496409 + 0.868089i \(0.665348\pi\)
\(678\) −12.6742 54.2741i −0.486751 2.08439i
\(679\) 12.0627 + 10.3846i 0.462926 + 0.398524i
\(680\) 8.60141 + 10.4593i 0.329849 + 0.401095i
\(681\) −12.8442 22.2469i −0.492192 0.852502i
\(682\) −4.16646 + 13.7516i −0.159542 + 0.526578i
\(683\) 12.5578 21.7507i 0.480510 0.832268i −0.519240 0.854629i \(-0.673785\pi\)
0.999750 + 0.0223606i \(0.00711819\pi\)
\(684\) 10.0602 15.0781i 0.384660 0.576525i
\(685\) −0.515941 −0.0197131
\(686\) −4.98441 25.7129i −0.190306 0.981725i
\(687\) 53.3750i 2.03638i
\(688\) 19.8117 + 2.58113i 0.755316 + 0.0984046i
\(689\) −5.49629 3.17329i −0.209392 0.120893i
\(690\) −1.63850 + 5.40796i −0.0623766 + 0.205878i
\(691\) 2.76681 1.59742i 0.105254 0.0607686i −0.446449 0.894809i \(-0.647312\pi\)
0.551703 + 0.834041i \(0.313978\pi\)
\(692\) 3.26660 1.61365i 0.124178 0.0613416i
\(693\) −7.05954 + 8.20036i −0.268170 + 0.311506i
\(694\) 48.4476 11.3136i 1.83905 0.429458i
\(695\) 8.09834 4.67558i 0.307187 0.177355i
\(696\) 3.73528 + 22.4830i 0.141586 + 0.852214i
\(697\) 20.9765 36.3324i 0.794541 1.37619i
\(698\) 13.8083 + 14.7330i 0.522651 + 0.557652i
\(699\) 49.2147i 1.86147i
\(700\) 5.09747 1.41979i 0.192666 0.0536630i
\(701\) 44.9260i 1.69683i 0.529331 + 0.848416i \(0.322443\pi\)
−0.529331 + 0.848416i \(0.677557\pi\)
\(702\) −1.91458 + 1.79441i −0.0722610 + 0.0677255i
\(703\) −13.6716 + 23.6800i −0.515635 + 0.893107i
\(704\) −6.39643 5.58670i −0.241075 0.210557i
\(705\) −7.97433 + 4.60398i −0.300331 + 0.173396i
\(706\) 7.80341 + 33.4161i 0.293685 + 1.25763i
\(707\) −11.0980 31.7346i −0.417385 1.19350i
\(708\) 17.9653 8.87455i 0.675178 0.333526i
\(709\) 10.4928 6.05803i 0.394066 0.227514i −0.289855 0.957071i \(-0.593607\pi\)
0.683920 + 0.729557i \(0.260274\pi\)
\(710\) −13.5298 4.09926i −0.507766 0.153842i
\(711\) −31.5094 18.1920i −1.18169 0.682252i
\(712\) 11.6874 31.1481i 0.438004 1.16732i
\(713\) 14.6090i 0.547111i
\(714\) 25.1409 + 39.5856i 0.940875 + 1.48145i
\(715\) −0.882644 −0.0330090
\(716\) −4.27286 2.85088i −0.159684 0.106542i
\(717\) 23.1374 40.0751i 0.864082 1.49663i
\(718\) −11.4445 3.46744i −0.427105 0.129404i
\(719\) −15.1586 26.2555i −0.565321 0.979165i −0.997020 0.0771470i \(-0.975419\pi\)
0.431699 0.902018i \(-0.357914\pi\)
\(720\) 9.36455 12.2382i 0.348996 0.456091i
\(721\) −1.75318 0.332044i −0.0652917 0.0123660i
\(722\) 18.5445 4.33054i 0.690153 0.161166i
\(723\) 4.40550 + 7.63055i 0.163842 + 0.283783i
\(724\) 1.52745 23.5473i 0.0567672 0.875129i
\(725\) −2.66580 1.53910i −0.0990052 0.0571607i
\(726\) 26.6683 24.9945i 0.989754 0.927631i
\(727\) −9.03069 −0.334930 −0.167465 0.985878i \(-0.553558\pi\)
−0.167465 + 0.985878i \(0.553558\pi\)
\(728\) 0.140256 6.22035i 0.00519823 0.230541i
\(729\) 39.5452 1.46464
\(730\) −8.41314 + 7.88508i −0.311384 + 0.291840i
\(731\) −20.7100 11.9569i −0.765987 0.442243i
\(732\) 68.0970 + 4.41726i 2.51694 + 0.163267i
\(733\) −4.94704 8.56852i −0.182723 0.316486i 0.760084 0.649825i \(-0.225158\pi\)
−0.942807 + 0.333339i \(0.891825\pi\)
\(734\) −31.2370 + 7.29454i −1.15298 + 0.269246i
\(735\) 18.1204 2.72457i 0.668382 0.100497i
\(736\) −7.87089 3.55030i −0.290125 0.130866i
\(737\) 7.82234 + 13.5487i 0.288140 + 0.499073i
\(738\) −45.6897 13.8430i −1.68186 0.509569i
\(739\) 16.4166 28.4344i 0.603894 1.04598i −0.388331 0.921520i \(-0.626948\pi\)
0.992225 0.124455i \(-0.0397183\pi\)
\(740\) −12.9018 + 19.3371i −0.474279 + 0.710845i
\(741\) 5.12020 0.188095
\(742\) 25.3153 + 13.2234i 0.929356 + 0.485448i
\(743\) 51.2689i 1.88088i −0.339966 0.940438i \(-0.610416\pi\)
0.339966 0.940438i \(-0.389584\pi\)
\(744\) 24.8948 66.3472i 0.912689 2.43241i
\(745\) 3.15569 + 1.82194i 0.115616 + 0.0667507i
\(746\) 28.1005 + 8.51386i 1.02883 + 0.311715i
\(747\) −45.9006 + 26.5007i −1.67941 + 0.969610i
\(748\) 4.50210 + 9.11388i 0.164613 + 0.333236i
\(749\) 19.7411 + 3.73888i 0.721323 + 0.136616i
\(750\) 0.841856 + 3.60504i 0.0307403 + 0.131637i
\(751\) 38.3610 22.1477i 1.39981 0.808182i 0.405440 0.914122i \(-0.367118\pi\)
0.994373 + 0.105940i \(0.0337851\pi\)
\(752\) −5.40192 12.9919i −0.196988 0.473765i
\(753\) 15.5110 26.8658i 0.565252 0.979045i
\(754\) −2.64087 + 2.47512i −0.0961749 + 0.0901384i
\(755\) 16.3249i 0.594124i
\(756\) 8.26738 8.43178i 0.300682 0.306661i
\(757\) 30.6126i 1.11263i 0.830970 + 0.556317i \(0.187786\pi\)
−0.830970 + 0.556317i \(0.812214\pi\)
\(758\) 12.0682 + 12.8764i 0.438338 + 0.467693i
\(759\) −2.12087 + 3.67346i −0.0769828 + 0.133338i
\(760\) −6.56393 + 1.09052i −0.238099 + 0.0395573i
\(761\) −15.9088 + 9.18496i −0.576694 + 0.332955i −0.759819 0.650135i \(-0.774712\pi\)
0.183124 + 0.983090i \(0.441379\pi\)
\(762\) −32.6839 + 7.63242i −1.18401 + 0.276493i
\(763\) 8.21684 2.87354i 0.297470 0.104029i
\(764\) −1.37717 2.78788i −0.0498241 0.100862i
\(765\) −15.9737 + 9.22243i −0.577531 + 0.333438i
\(766\) −2.35138 + 7.76085i −0.0849587 + 0.280411i
\(767\) 2.75585 + 1.59109i 0.0995079 + 0.0574509i
\(768\) 29.6959 + 29.5363i 1.07156 + 1.06580i
\(769\) 31.3711i 1.13127i −0.824656 0.565635i \(-0.808631\pi\)
0.824656 0.565635i \(-0.191369\pi\)
\(770\) 3.96855 0.167701i 0.143016 0.00604352i
\(771\) 25.7655 0.927922
\(772\) −4.87061 3.24969i −0.175297 0.116959i
\(773\) 3.23165 5.59739i 0.116235 0.201324i −0.802038 0.597273i \(-0.796251\pi\)
0.918273 + 0.395949