Properties

Label 280.2.bj.f.131.5
Level $280$
Weight $2$
Character 280.131
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 131.5
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.f.171.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.410069 + 1.35346i) q^{2} +(2.26702 - 1.30886i) q^{3} +(-1.66369 - 1.11002i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(0.841856 + 3.60504i) q^{6} +(1.72615 + 2.00510i) q^{7} +(2.18459 - 1.79654i) q^{8} +(1.92625 - 3.33637i) q^{9} +O(q^{10})\) \(q+(-0.410069 + 1.35346i) q^{2} +(2.26702 - 1.30886i) q^{3} +(-1.66369 - 1.11002i) 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} +(-0.967093 - 1.03186i) q^{10} +(0.530792 + 0.919359i) q^{11} +(-5.22448 - 0.338897i) q^{12} +0.831440 q^{13} +(-3.42165 + 1.51404i) q^{14} +2.61773i q^{15} +(1.53571 + 3.69345i) q^{16} +(4.14632 - 2.39388i) q^{17} +(3.72573 + 3.97524i) 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} +(2.60108 - 6.93213i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-0.340948 + 1.12532i) q^{26} -2.23163i q^{27} +(-0.646076 - 5.25191i) q^{28} +3.07820i q^{29} +(-3.54298 - 1.07345i) q^{30} +(-4.78548 - 8.28870i) q^{31} +(-5.62867 + 0.563945i) 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} +(2.42746 - 2.27509i) q^{38} +(1.88489 - 1.08824i) q^{39} +(0.463556 + 2.79018i) q^{40} +8.76255i q^{41} +(-5.77527 + 7.91083i) q^{42} -4.99479 q^{43} +(0.137435 - 2.11872i) q^{44} +(1.92625 + 3.33637i) q^{45} +(-1.57502 + 1.47616i) 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} +(-1.38326 - 0.922915i) q^{52} +(-6.61057 + 3.81661i) q^{53} +(3.02041 + 0.915121i) q^{54} -1.06158 q^{55} +(7.37317 + 1.27921i) q^{56} -6.15823 q^{57} +(-4.16620 - 1.26227i) q^{58} +(-3.31455 + 1.91365i) q^{59} +(2.90573 - 4.35508i) 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} +(-2.86747 + 2.68749i) q^{66} +(-7.36855 - 12.7627i) q^{67} +(-9.55543 - 0.619835i) q^{68} +3.99567 q^{69} +(0.399627 - 3.72026i) q^{70} -9.99651i q^{71} +(-1.78585 - 10.7492i) q^{72} +(-7.06104 + 4.07669i) q^{73} +(11.9933 - 11.2405i) 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} +(-3.96648 - 0.516763i) q^{80} +(2.85786 + 4.94996i) q^{81} +(-11.8597 - 3.59325i) q^{82} -13.7576i q^{83} +(-8.33871 - 11.0606i) q^{84} +4.78776i q^{85} +(2.04821 - 6.76023i) q^{86} +(4.02894 + 6.97833i) q^{87} +(2.81123 + 1.05483i) 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} +(-3.40179 - 3.62960i) q^{94} +(2.03733 - 1.17625i) q^{95} +(-12.0222 + 8.64565i) q^{96} +6.01605i q^{97} +(-8.94207 - 4.24727i) q^{98} +4.08976 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.410069 + 1.35346i −0.289962 + 0.957038i
\(3\) 2.26702 1.30886i 1.30886 0.755673i 0.326958 0.945039i \(-0.393976\pi\)
0.981907 + 0.189366i \(0.0606431\pi\)
\(4\) −1.66369 1.11002i −0.831844 0.555010i
\(5\) −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
\(10\) −0.967093 1.03186i −0.305822 0.326302i
\(11\) 0.530792 + 0.919359i 0.160040 + 0.277197i 0.934883 0.354957i \(-0.115504\pi\)
−0.774843 + 0.632154i \(0.782171\pi\)
\(12\) −5.22448 0.338897i −1.50818 0.0978313i
\(13\) 0.831440 0.230600 0.115300 0.993331i \(-0.463217\pi\)
0.115300 + 0.993331i \(0.463217\pi\)
\(14\) −3.42165 + 1.51404i −0.914474 + 0.404644i
\(15\) 2.61773i 0.675895i
\(16\) 1.53571 + 3.69345i 0.383927 + 0.923363i
\(17\) 4.14632 2.39388i 1.00563 0.580601i 0.0957209 0.995408i \(-0.469484\pi\)
0.909909 + 0.414807i \(0.136151\pi\)
\(18\) 3.72573 + 3.97524i 0.878163 + 0.936973i
\(19\) −2.03733 1.17625i −0.467396 0.269851i 0.247753 0.968823i \(-0.420308\pi\)
−0.715149 + 0.698972i \(0.753641\pi\)
\(20\) 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 \(-0.282462\pi\)
−0.355812 + 0.934558i \(0.615796\pi\)
\(24\) 2.60108 6.93213i 0.530943 1.41502i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −0.340948 + 1.12532i −0.0668653 + 0.220693i
\(27\) 2.23163i 0.429477i
\(28\) −0.646076 5.25191i −0.122097 0.992518i
\(29\) 3.07820i 0.571607i 0.958288 + 0.285803i \(0.0922604\pi\)
−0.958288 + 0.285803i \(0.907740\pi\)
\(30\) −3.54298 1.07345i −0.646857 0.195984i
\(31\) −4.78548 8.28870i −0.859498 1.48869i −0.872409 0.488777i \(-0.837443\pi\)
0.0129107 0.999917i \(-0.495890\pi\)
\(32\) −5.62867 + 0.563945i −0.995018 + 0.0996923i
\(33\) 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 −0.975053 0.221972i \(-0.928751\pi\)
−0.679760 0.733435i \(-0.737916\pi\)
\(38\) 2.42746 2.27509i 0.393785 0.369069i
\(39\) 1.88489 1.08824i 0.301824 0.174258i
\(40\) 0.463556 + 2.79018i 0.0732947 + 0.441167i
\(41\) 8.76255i 1.36848i 0.729256 + 0.684241i \(0.239866\pi\)
−0.729256 + 0.684241i \(0.760134\pi\)
\(42\) −5.77527 + 7.91083i −0.891144 + 1.22067i
\(43\) −4.99479 −0.761699 −0.380849 0.924637i \(-0.624368\pi\)
−0.380849 + 0.924637i \(0.624368\pi\)
\(44\) 0.137435 2.11872i 0.0207192 0.319409i
\(45\) 1.92625 + 3.33637i 0.287149 + 0.497356i
\(46\) −1.57502 + 1.47616i −0.232223 + 0.217648i
\(47\) −1.75877 + 3.04628i −0.256543 + 0.444345i −0.965313 0.261094i \(-0.915917\pi\)
0.708771 + 0.705439i \(0.249250\pi\)
\(48\) 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
\(52\) −1.38326 0.922915i −0.191823 0.127985i
\(53\) −6.61057 + 3.81661i −0.908031 + 0.524252i −0.879797 0.475349i \(-0.842322\pi\)
−0.0282341 + 0.999601i \(0.508988\pi\)
\(54\) 3.02041 + 0.915121i 0.411026 + 0.124532i
\(55\) −1.06158 −0.143144
\(56\) 7.37317 + 1.27921i 0.985281 + 0.170942i
\(57\) −6.15823 −0.815678
\(58\) −4.16620 1.26227i −0.547049 0.165744i
\(59\) −3.31455 + 1.91365i −0.431517 + 0.249137i −0.699993 0.714150i \(-0.746813\pi\)
0.268476 + 0.963287i \(0.413480\pi\)
\(60\) 2.90573 4.35508i 0.375128 0.562239i
\(61\) 6.51711 11.2880i 0.834430 1.44528i −0.0600638 0.998195i \(-0.519130\pi\)
0.894494 0.447080i \(-0.147536\pi\)
\(62\) 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
\(66\) −2.86747 + 2.68749i −0.352962 + 0.330808i
\(67\) −7.36855 12.7627i −0.900212 1.55921i −0.827219 0.561880i \(-0.810078\pi\)
−0.0729933 0.997332i \(-0.523255\pi\)
\(68\) −9.55543 0.619835i −1.15877 0.0751660i
\(69\) 3.99567 0.481022
\(70\) 0.399627 3.72026i 0.0477645 0.444656i
\(71\) 9.99651i 1.18637i −0.805067 0.593184i \(-0.797871\pi\)
0.805067 0.593184i \(-0.202129\pi\)
\(72\) −1.78585 10.7492i −0.210465 1.26680i
\(73\) −7.06104 + 4.07669i −0.826432 + 0.477141i −0.852630 0.522516i \(-0.824994\pi\)
0.0261973 + 0.999657i \(0.491660\pi\)
\(74\) 11.9933 11.2405i 1.39419 1.30669i
\(75\) −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 \(-0.155045\pi\)
0.0365026 + 0.999334i \(0.488378\pi\)
\(80\) −3.96648 0.516763i −0.443466 0.0577759i
\(81\) 2.85786 + 4.94996i 0.317540 + 0.549995i
\(82\) −11.8597 3.59325i −1.30969 0.396808i
\(83\) 13.7576i 1.51010i −0.655669 0.755049i \(-0.727613\pi\)
0.655669 0.755049i \(-0.272387\pi\)
\(84\) −8.33871 11.0606i −0.909828 1.20681i
\(85\) 4.78776i 0.519305i
\(86\) 2.04821 6.76023i 0.220864 0.728975i
\(87\) 4.02894 + 6.97833i 0.431948 + 0.748156i
\(88\) 2.81123 + 1.05483i 0.299678 + 0.112446i
\(89\) 10.1864 + 5.88110i 1.07975 + 0.623396i 0.930830 0.365453i \(-0.119086\pi\)
0.148923 + 0.988849i \(0.452419\pi\)
\(90\) −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
\(94\) −3.40179 3.62960i −0.350868 0.374365i
\(95\) 2.03733 1.17625i 0.209026 0.120681i
\(96\) −12.0222 + 8.64565i −1.22701 + 0.882392i
\(97\) 6.01605i 0.610837i 0.952218 + 0.305418i \(0.0987963\pi\)
−0.952218 + 0.305418i \(0.901204\pi\)
\(98\) −8.94207 4.24727i −0.903286 0.429039i
\(99\) 4.08976 0.411036
\(100\) −0.129462 + 1.99581i −0.0129462 + 0.199581i
\(101\) 6.35344 + 11.0045i 0.632191 + 1.09499i 0.987103 + 0.160087i \(0.0511776\pi\)
−0.354912 + 0.934900i \(0.615489\pi\)
\(102\) 12.1206 + 12.9323i 1.20012 + 1.28049i
\(103\) −0.337209 + 0.584063i −0.0332262 + 0.0575495i −0.882160 0.470949i \(-0.843912\pi\)
0.848934 + 0.528499i \(0.177245\pi\)
\(104\) 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 −0.989107 0.147201i \(-0.952973\pi\)
0.622033 + 0.782991i \(0.286307\pi\)
\(108\) −2.47715 + 3.71273i −0.238364 + 0.357258i
\(109\) 2.84932 1.64505i 0.272915 0.157568i −0.357297 0.933991i \(-0.616301\pi\)
0.630212 + 0.776423i \(0.282968\pi\)
\(110\) 0.435323 1.43681i 0.0415064 0.136994i
\(111\) −30.4259 −2.88790
\(112\) −4.75486 + 9.45470i −0.449292 + 0.893385i
\(113\) 15.0551 1.41626 0.708132 0.706080i \(-0.249538\pi\)
0.708132 + 0.706080i \(0.249538\pi\)
\(114\) 2.52530 8.33489i 0.236516 0.780634i
\(115\) −1.32189 + 0.763194i −0.123267 + 0.0711682i
\(116\) 3.41686 5.12115i 0.317248 0.475487i
\(117\) 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
\(122\) 12.6053 + 13.4495i 1.14123 + 1.21766i
\(123\) 11.4690 + 19.8649i 1.03412 + 1.79116i
\(124\) −1.23908 + 19.1018i −0.111273 + 1.71539i
\(125\) 1.00000 0.0894427
\(126\) −1.53956 + 14.3323i −0.137155 + 1.27682i
\(127\) 9.06617i 0.804493i −0.915531 0.402246i \(-0.868230\pi\)
0.915531 0.402246i \(-0.131770\pi\)
\(128\) 9.99034 + 5.30972i 0.883030 + 0.469317i
\(129\) −11.3233 + 6.53751i −0.996961 + 0.575596i
\(130\) −0.804080 0.857928i −0.0705225 0.0752453i
\(131\) −10.0620 5.80928i −0.879119 0.507559i −0.00875088 0.999962i \(-0.502786\pi\)
−0.870368 + 0.492402i \(0.836119\pi\)
\(132\) −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
\(136\) 4.75730 12.6787i 0.407935 1.08719i
\(137\) −0.257971 0.446818i −0.0220399 0.0381743i 0.854795 0.518966i \(-0.173683\pi\)
−0.876835 + 0.480791i \(0.840349\pi\)
\(138\) −1.63850 + 5.40796i −0.139478 + 0.460356i
\(139\) 9.35115i 0.793154i 0.918001 + 0.396577i \(0.129802\pi\)
−0.918001 + 0.396577i \(0.870198\pi\)
\(140\) 4.87133 + 2.06644i 0.411702 + 0.174646i
\(141\) 9.20796i 0.775450i
\(142\) 13.5298 + 4.09926i 1.13540 + 0.344002i
\(143\) 0.441322 + 0.764392i 0.0369052 + 0.0639217i
\(144\) 15.2809 + 1.99083i 1.27341 + 0.165903i
\(145\) −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 \(-0.381022\pi\)
−0.623661 + 0.781695i \(0.714356\pi\)
\(150\) 2.70112 2.53159i 0.220546 0.206703i
\(151\) −14.1378 + 8.16245i −1.15052 + 0.664251i −0.949013 0.315237i \(-0.897916\pi\)
−0.201503 + 0.979488i \(0.564583\pi\)
\(152\) −6.56393 + 1.09052i −0.532405 + 0.0884529i
\(153\) 18.4449i 1.49118i
\(154\) −3.20813 2.34208i −0.258519 0.188731i
\(155\) 9.57096 0.768758
\(156\) −4.34384 0.281773i −0.347786 0.0225599i
\(157\) 7.61469 + 13.1890i 0.607719 + 1.05260i 0.991615 + 0.129224i \(0.0412485\pi\)
−0.383897 + 0.923376i \(0.625418\pi\)
\(158\) −9.74510 + 9.13344i −0.775278 + 0.726617i
\(159\) −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 −0.953772 0.300532i \(-0.902836\pi\)
0.737154 + 0.675725i \(0.236169\pi\)
\(164\) 9.72662 14.5781i 0.759521 1.13836i
\(165\) −2.40663 + 1.38947i −0.187356 + 0.108170i
\(166\) 18.6204 + 5.64158i 1.44522 + 0.437872i
\(167\) −11.1473 −0.862608 −0.431304 0.902207i \(-0.641946\pi\)
−0.431304 + 0.902207i \(0.641946\pi\)
\(168\) 18.3894 6.75048i 1.41878 0.520811i
\(169\) −12.3087 −0.946824
\(170\) −6.48002 1.96331i −0.496995 0.150579i
\(171\) −7.84883 + 4.53153i −0.600215 + 0.346534i
\(172\) 8.30977 + 5.54432i 0.633614 + 0.422751i
\(173\) 0.910856 1.57765i 0.0692511 0.119946i −0.829321 0.558773i \(-0.811272\pi\)
0.898572 + 0.438826i \(0.144606\pi\)
\(174\) −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
\(178\) −12.1369 + 11.3751i −0.909701 + 0.852603i
\(179\) −1.28415 2.22422i −0.0959822 0.166246i 0.814036 0.580815i \(-0.197266\pi\)
−0.910018 + 0.414569i \(0.863933\pi\)
\(180\) 0.498755 7.68885i 0.0371750 0.573093i
\(181\) 11.7984 0.876969 0.438484 0.898739i \(-0.355515\pi\)
0.438484 + 0.898739i \(0.355515\pi\)
\(182\) −2.84490 + 1.25883i −0.210878 + 0.0933110i
\(183\) 34.1200i 2.52223i
\(184\) 4.25890 0.707567i 0.313970 0.0521625i
\(185\) 10.0658 5.81151i 0.740055 0.427271i
\(186\) 25.8524 24.2297i 1.89559 1.77661i
\(187\) 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 \(-0.315419\pi\)
−0.450496 + 0.892779i \(0.648753\pi\)
\(192\) −6.77158 19.8168i −0.488696 1.43016i
\(193\) −1.46380 2.53537i −0.105367 0.182500i 0.808521 0.588467i \(-0.200268\pi\)
−0.913888 + 0.405967i \(0.866935\pi\)
\(194\) −8.14245 2.46699i −0.584594 0.177120i
\(195\) 2.17648i 0.155861i
\(196\) 9.41536 10.3610i 0.672526 0.740074i
\(197\) 8.32978i 0.593473i −0.954959 0.296736i \(-0.904102\pi\)
0.954959 0.296736i \(-0.0958982\pi\)
\(198\) −1.67708 + 5.53531i −0.119185 + 0.393378i
\(199\) 8.17280 + 14.1557i 0.579355 + 1.00347i 0.995553 + 0.0941979i \(0.0300287\pi\)
−0.416199 + 0.909274i \(0.636638\pi\)
\(200\) −2.64815 0.993639i −0.187252 0.0702609i
\(201\) −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
\(206\) −0.652225 0.695904i −0.0454427 0.0484859i
\(207\) 5.09259 2.94021i 0.353960 0.204359i
\(208\) 1.27685 + 3.07088i 0.0885336 + 0.212928i
\(209\) 2.49739i 0.172748i
\(210\) −3.96335 8.95695i −0.273497 0.618088i
\(211\) 11.9709 0.824112 0.412056 0.911159i \(-0.364811\pi\)
0.412056 + 0.911159i \(0.364811\pi\)
\(212\) 15.2344 + 0.988216i 1.04631 + 0.0678709i
\(213\) −13.0841 22.6623i −0.896506 1.55279i
\(214\) −7.34417 7.83600i −0.502037 0.535658i
\(215\) 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
\(220\) 1.76615 + 1.17838i 0.119073 + 0.0794464i
\(221\) 3.44742 1.99037i 0.231898 0.133887i
\(222\) 12.4767 41.1802i 0.837383 2.76383i
\(223\) 26.5000 1.77457 0.887285 0.461222i \(-0.152589\pi\)
0.887285 + 0.461222i \(0.152589\pi\)
\(224\) −10.8467 10.3126i −0.724725 0.689038i
\(225\) −3.85251 −0.256834
\(226\) −6.17362 + 20.3764i −0.410663 + 1.35542i
\(227\) −8.49854 + 4.90663i −0.564068 + 0.325665i −0.754777 0.655982i \(-0.772255\pi\)
0.190709 + 0.981647i \(0.438921\pi\)
\(228\) 10.2454 + 6.83576i 0.678516 + 0.452709i
\(229\) −10.1949 + 17.6581i −0.673698 + 1.16688i 0.303149 + 0.952943i \(0.401962\pi\)
−0.976848 + 0.213937i \(0.931371\pi\)
\(230\) −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 −0.374407 0.927265i \(-0.622154\pi\)
0.990238 0.139387i \(-0.0445131\pi\)
\(234\) 3.09772 + 3.30517i 0.202504 + 0.216066i
\(235\) −1.75877 3.04628i −0.114729 0.198717i
\(236\) 7.63856 + 0.495493i 0.497228 + 0.0322538i
\(237\) 24.7224 1.60589
\(238\) −10.5628 + 14.4687i −0.684686 + 0.937867i
\(239\) 17.6775i 1.14346i −0.820442 0.571730i \(-0.806273\pi\)
0.820442 0.571730i \(-0.193727\pi\)
\(240\) −9.66846 + 4.02007i −0.624096 + 0.259494i
\(241\) 2.91495 1.68295i 0.187768 0.108408i −0.403169 0.915126i \(-0.632091\pi\)
0.590937 + 0.806717i \(0.298758\pi\)
\(242\) 9.54815 + 10.1876i 0.613778 + 0.654882i
\(243\) 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
\(248\) −25.3453 9.51009i −1.60943 0.603891i
\(249\) −18.0069 31.1888i −1.14114 1.97651i
\(250\) −0.410069 + 1.35346i −0.0259350 + 0.0856001i
\(251\) 11.8507i 0.748011i 0.927426 + 0.374006i \(0.122016\pi\)
−0.927426 + 0.374006i \(0.877984\pi\)
\(252\) −18.7668 7.96096i −1.18220 0.501494i
\(253\) 1.62039i 0.101873i
\(254\) 12.2707 + 3.71776i 0.769930 + 0.233273i
\(255\) 6.26653 + 10.8539i 0.392425 + 0.679700i
\(256\) −11.2832 + 11.3441i −0.705200 + 0.709009i
\(257\) 8.52403 + 4.92135i 0.531714 + 0.306985i 0.741714 0.670716i \(-0.234013\pi\)
−0.210000 + 0.977701i \(0.567346\pi\)
\(258\) −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
\(262\) 11.9887 11.2362i 0.740665 0.694177i
\(263\) −7.04488 + 4.06736i −0.434406 + 0.250804i −0.701222 0.712943i \(-0.747362\pi\)
0.266816 + 0.963747i \(0.414028\pi\)
\(264\) 7.75375 1.28820i 0.477210 0.0792830i
\(265\) 7.63323i 0.468905i
\(266\) 8.75193 + 0.940126i 0.536615 + 0.0576428i
\(267\) 30.7903 1.88433
\(268\) −1.90790 + 29.4124i −0.116544 + 1.79665i
\(269\) 12.5033 + 21.6564i 0.762342 + 1.32041i 0.941640 + 0.336620i \(0.109284\pi\)
−0.179299 + 0.983795i \(0.557383\pi\)
\(270\) −2.30272 + 2.15819i −0.140139 + 0.131343i
\(271\) 4.77233 8.26592i 0.289898 0.502119i −0.683887 0.729588i \(-0.739712\pi\)
0.973785 + 0.227469i \(0.0730452\pi\)
\(272\) 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
\(276\) −6.64754 4.43528i −0.400135 0.266972i
\(277\) −1.14340 + 0.660142i −0.0687002 + 0.0396641i −0.533957 0.845512i \(-0.679295\pi\)
0.465256 + 0.885176i \(0.345962\pi\)
\(278\) −12.6564 3.83462i −0.759079 0.229985i
\(279\) −36.8722 −2.20748
\(280\) −4.79441 + 5.74575i −0.286521 + 0.343374i
\(281\) 27.6475 1.64931 0.824656 0.565634i \(-0.191369\pi\)
0.824656 + 0.565634i \(0.191369\pi\)
\(282\) −12.4626 3.77590i −0.742136 0.224852i
\(283\) 0.646465 0.373237i 0.0384284 0.0221866i −0.480663 0.876906i \(-0.659604\pi\)
0.519091 + 0.854719i \(0.326271\pi\)
\(284\) −11.0963 + 16.6311i −0.658446 + 0.986872i
\(285\) 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
\(290\) 3.17626 2.97690i 0.186517 0.174810i
\(291\) 7.87419 + 13.6385i 0.461593 + 0.799503i
\(292\) 16.2726 + 1.05556i 0.952280 + 0.0617718i
\(293\) 9.44068 0.551530 0.275765 0.961225i \(-0.411069\pi\)
0.275765 + 0.961225i \(0.411069\pi\)
\(294\) −25.8310 + 2.07531i −1.50649 + 0.121035i
\(295\) 3.82731i 0.222835i
\(296\) −32.4304 + 5.38793i −1.88498 + 0.313167i
\(297\) 2.05167 1.18453i 0.119050 0.0687335i
\(298\) 3.75997 3.52397i 0.217809 0.204138i
\(299\) 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
\(304\) 1.21569 9.33118i 0.0697246 0.535180i
\(305\) 6.51711 + 11.2880i 0.373168 + 0.646347i
\(306\) 24.9643 + 7.56366i 1.42711 + 0.432386i
\(307\) 10.3689i 0.591782i −0.955222 0.295891i \(-0.904384\pi\)
0.955222 0.295891i \(-0.0956165\pi\)
\(308\) 4.48546 3.38165i 0.255583 0.192687i
\(309\) 1.76544i 0.100433i
\(310\) −3.92475 + 12.9539i −0.222911 + 0.735731i
\(311\) 10.3775 + 17.9743i 0.588454 + 1.01923i 0.994435 + 0.105350i \(0.0335964\pi\)
−0.405981 + 0.913881i \(0.633070\pi\)
\(312\) 2.16264 5.76365i 0.122435 0.326302i
\(313\) 0.926714 + 0.535039i 0.0523810 + 0.0302422i 0.525962 0.850508i \(-0.323705\pi\)
−0.473581 + 0.880750i \(0.657039\pi\)
\(314\) −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 \(-0.433722\pi\)
−0.743962 + 0.668222i \(0.767056\pi\)
\(318\) −19.3242 20.6183i −1.08365 1.15622i
\(319\) −2.82997 + 1.63388i −0.158448 + 0.0914799i
\(320\) 6.02536 + 5.26261i 0.336828 + 0.294189i
\(321\) 19.8792i 1.10955i
\(322\) −5.67855 0.609986i −0.316453 0.0339932i
\(323\) −11.2632 −0.626704
\(324\) 0.739971 11.4075i 0.0411095 0.633748i
\(325\) −0.415720 0.720048i −0.0230600 0.0399411i
\(326\) −5.34917 5.70740i −0.296263 0.316104i
\(327\) 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 −0.257227 0.966351i \(-0.582809\pi\)
0.965498 0.260410i \(-0.0838578\pi\)
\(332\) −15.2713 + 22.8884i −0.838120 + 1.25616i
\(333\) −38.7787 + 22.3889i −2.12506 + 1.22690i
\(334\) 4.57118 15.0874i 0.250124 0.825548i
\(335\) 14.7371 0.805174
\(336\) 1.59555 + 27.6575i 0.0870443 + 1.50884i
\(337\) −16.8577 −0.918299 −0.459149 0.888359i \(-0.651846\pi\)
−0.459149 + 0.888359i \(0.651846\pi\)
\(338\) 5.04742 16.6593i 0.274543 0.906146i
\(339\) 34.1302 19.7051i 1.85370 1.07023i
\(340\) 5.31451 7.96533i 0.288220 0.431981i
\(341\) 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
\(346\) 1.76177 + 1.87975i 0.0947131 + 0.101056i
\(347\) −17.5896 30.4662i −0.944262 1.63551i −0.757223 0.653157i \(-0.773444\pi\)
−0.187039 0.982352i \(-0.559889\pi\)
\(348\) 1.04319 16.0820i 0.0559210 0.862084i
\(349\) 14.2781 0.764290 0.382145 0.924102i \(-0.375185\pi\)
0.382145 + 0.924102i \(0.375185\pi\)
\(350\) 3.02202 + 2.20621i 0.161534 + 0.117927i
\(351\) 1.85546i 0.0990374i
\(352\) −3.50613 4.87544i −0.186877 0.259862i
\(353\) −21.0137 + 12.1322i −1.11844 + 0.645734i −0.941003 0.338398i \(-0.890115\pi\)
−0.177441 + 0.984132i \(0.556782\pi\)
\(354\) −9.68917 10.3380i −0.514973 0.549461i
\(355\) 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 \(-0.404964\pi\)
−0.680637 + 0.732620i \(0.738297\pi\)
\(360\) 10.2020 + 3.82800i 0.537693 + 0.201753i
\(361\) −6.73285 11.6616i −0.354361 0.613771i
\(362\) −4.83816 + 15.9686i −0.254288 + 0.839292i
\(363\) 25.8449i 1.35651i
\(364\) −0.537173 4.36665i −0.0281555 0.228875i
\(365\) 8.15339i 0.426768i
\(366\) 46.1800 + 13.9916i 2.41387 + 0.731351i
\(367\) −11.3411 19.6433i −0.592000 1.02537i −0.993963 0.109718i \(-0.965005\pi\)
0.401963 0.915656i \(-0.368328\pi\)
\(368\) −0.788782 + 6.05439i −0.0411181 + 0.315607i
\(369\) 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 \(-0.152699\pi\)
0.0438667 + 0.999037i \(0.486032\pi\)
\(374\) −5.24453 + 4.91536i −0.271188 + 0.254167i
\(375\) 2.26702 1.30886i 0.117068 0.0675895i
\(376\) 1.63058 + 9.81457i 0.0840906 + 0.506148i
\(377\) 2.55934i 0.131812i
\(378\) 3.37877 + 7.63585i 0.173785 + 0.392746i
\(379\) −12.4789 −0.640997 −0.320498 0.947249i \(-0.603850\pi\)
−0.320498 + 0.947249i \(0.603850\pi\)
\(380\) −4.69515 0.304561i −0.240856 0.0156237i
\(381\) −11.8664 20.5532i −0.607934 1.05297i
\(382\) −1.60427 + 1.50358i −0.0820817 + 0.0769298i
\(383\) 2.86705 4.96588i 0.146499 0.253744i −0.783432 0.621478i \(-0.786533\pi\)
0.929931 + 0.367733i \(0.119866\pi\)
\(384\) 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
\(388\) 6.67793 10.0088i 0.339021 0.508121i
\(389\) −10.6658 + 6.15789i −0.540776 + 0.312217i −0.745393 0.666625i \(-0.767738\pi\)
0.204617 + 0.978842i \(0.434405\pi\)
\(390\) −2.94578 0.892509i −0.149165 0.0451939i
\(391\) 7.30797 0.369580
\(392\) 10.1623 + 16.9920i 0.513271 + 0.858226i
\(393\) −30.4143 −1.53420
\(394\) 11.2740 + 3.41579i 0.567976 + 0.172085i
\(395\) −8.17894 + 4.72211i −0.411527 + 0.237595i
\(396\) −6.80408 4.53972i −0.341918 0.228129i
\(397\) 4.71322 8.16353i 0.236550 0.409716i −0.723172 0.690668i \(-0.757317\pi\)
0.959722 + 0.280952i \(0.0906501\pi\)
\(398\) −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 −0.954228 0.299081i \(-0.903320\pi\)
0.736126 + 0.676845i \(0.236653\pi\)
\(402\) 39.8068 37.3083i 1.98538 1.86077i
\(403\) −3.97884 6.89155i −0.198200 0.343293i
\(404\) 1.64506 25.3605i 0.0818450 1.26173i
\(405\) −5.71572 −0.284016
\(406\) −4.66051 10.5325i −0.231297 0.522719i
\(407\) 12.3388i 0.611613i
\(408\) −5.80978 34.9695i −0.287627 1.73125i
\(409\) −1.47110 + 0.849342i −0.0727414 + 0.0419973i −0.535930 0.844263i \(-0.680039\pi\)
0.463188 + 0.886260i \(0.346705\pi\)
\(410\) 9.04171 8.47421i 0.446538 0.418511i
\(411\) −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
\(416\) −4.67990 + 0.468886i −0.229451 + 0.0229890i
\(417\) 12.2394 + 21.1992i 0.599366 + 1.03813i
\(418\) 3.38010 + 1.02410i 0.165326 + 0.0500904i
\(419\) 31.2350i 1.52593i 0.646441 + 0.762964i \(0.276257\pi\)
−0.646441 + 0.762964i \(0.723743\pi\)
\(420\) 13.7481 1.69125i 0.670838 0.0825246i
\(421\) 5.19927i 0.253397i 0.991941 + 0.126698i \(0.0404380\pi\)
−0.991941 + 0.126698i \(0.959562\pi\)
\(422\) −4.90890 + 16.2021i −0.238962 + 0.788707i
\(423\) 6.77567 + 11.7358i 0.329444 + 0.570614i
\(424\) −7.58467 + 20.2139i −0.368344 + 0.981674i
\(425\) −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
\(430\) 4.83043 + 5.15392i 0.232944 + 0.248544i
\(431\) −6.96178 + 4.01939i −0.335337 + 0.193607i −0.658208 0.752836i \(-0.728685\pi\)
0.322871 + 0.946443i \(0.395352\pi\)
\(432\) 8.24241 3.42713i 0.396563 0.164888i
\(433\) 1.55972i 0.0749554i 0.999297 + 0.0374777i \(0.0119323\pi\)
−0.999297 + 0.0374777i \(0.988068\pi\)
\(434\) 28.9237 + 21.1156i 1.38838 + 1.01358i
\(435\) −8.05788 −0.386346
\(436\) −6.56642 0.425945i −0.314474 0.0203991i
\(437\) −1.79542 3.10976i −0.0858866 0.148760i
\(438\) −20.6410 22.0233i −0.986266 1.05231i
\(439\) 14.5960 25.2810i 0.696628 1.20659i −0.273001 0.962014i \(-0.588016\pi\)
0.969629 0.244581i \(-0.0786505\pi\)
\(440\) −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 −0.861893 0.507090i \(-0.830721\pi\)
0.870099 + 0.492876i \(0.164055\pi\)
\(444\) 50.6192 + 33.7734i 2.40228 + 1.60281i
\(445\) −10.1864 + 5.88110i −0.482880 + 0.278791i
\(446\) −10.8668 + 35.8666i −0.514559 + 1.69833i
\(447\) −9.53869 −0.451164
\(448\) 18.4055 10.4517i 0.869579 0.493795i
\(449\) 31.8546 1.50331 0.751656 0.659555i \(-0.229255\pi\)
0.751656 + 0.659555i \(0.229255\pi\)
\(450\) 1.57979 5.21420i 0.0744721 0.245800i
\(451\) −8.05594 + 4.65110i −0.379339 + 0.219012i
\(452\) −25.0470 16.7115i −1.17811 0.786041i
\(453\) −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 −0.995867 0.0908235i \(-0.971050\pi\)
0.576589 + 0.817034i \(0.304383\pi\)
\(458\) −19.7188 21.0394i −0.921401 0.983106i
\(459\) −5.34225 9.25304i −0.249355 0.431895i
\(460\) 3.04637 + 0.197610i 0.142038 + 0.00921361i
\(461\) 7.34814 0.342237 0.171119 0.985250i \(-0.445262\pi\)
0.171119 + 0.985250i \(0.445262\pi\)
\(462\) −10.3384 1.11054i −0.480985 0.0516670i
\(463\) 38.4082i 1.78498i 0.451069 + 0.892489i \(0.351043\pi\)
−0.451069 + 0.892489i \(0.648957\pi\)
\(464\) −11.3692 + 4.72721i −0.527801 + 0.219455i
\(465\) 21.6976 12.5271i 1.00620 0.580930i
\(466\) 18.1818 + 19.3995i 0.842258 + 0.898663i
\(467\) 1.63140 + 0.941892i 0.0754924 + 0.0435855i 0.537271 0.843410i \(-0.319455\pi\)
−0.461779 + 0.886995i \(0.652789\pi\)
\(468\) −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
\(472\) −3.80297 + 10.1353i −0.175046 + 0.466514i
\(473\) −2.65120 4.59201i −0.121902 0.211141i
\(474\) −10.1379 + 33.4607i −0.465649 + 1.53690i
\(475\) 2.35251i 0.107941i
\(476\) −15.2513 20.2295i −0.699041 0.927217i
\(477\) 29.4070i 1.34646i
\(478\) 23.9257 + 7.24898i 1.09433 + 0.331560i
\(479\) 2.87010 + 4.97116i 0.131138 + 0.227138i 0.924116 0.382113i \(-0.124803\pi\)
−0.792977 + 0.609251i \(0.791470\pi\)
\(480\) −1.47625 14.7343i −0.0673815 0.672528i
\(481\) −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
\(486\) −22.3470 + 20.9444i −1.01368 + 0.950058i
\(487\) 8.46493 4.88723i 0.383583 0.221461i −0.295793 0.955252i \(-0.595584\pi\)
0.679376 + 0.733790i \(0.262251\pi\)
\(488\) −6.04209 36.3678i −0.273513 1.64629i
\(489\) 14.4791i 0.654769i
\(490\) 8.14928 5.62043i 0.368147 0.253905i
\(491\) −6.81442 −0.307530 −0.153765 0.988107i \(-0.549140\pi\)
−0.153765 + 0.988107i \(0.549140\pi\)
\(492\) 2.96961 45.7798i 0.133880 2.06391i
\(493\) 7.36883 + 12.7632i 0.331875 + 0.574825i
\(494\) 2.01828 1.89160i 0.0908069 0.0851073i
\(495\) −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 −0.999179 0.0405216i \(-0.987098\pi\)
0.534682 + 0.845053i \(0.320431\pi\)
\(500\) −1.66369 1.11002i −0.0744023 0.0496416i
\(501\) −25.2713 + 14.5904i −1.12904 + 0.651850i
\(502\) −16.0394 4.85961i −0.715875 0.216895i
\(503\) −15.9862 −0.712789 −0.356395 0.934336i \(-0.615994\pi\)
−0.356395 + 0.934336i \(0.615994\pi\)
\(504\) 18.4705 22.1355i 0.822742 0.985994i
\(505\) −12.7069 −0.565449
\(506\) −2.19313 0.664472i −0.0974964 0.0295394i
\(507\) −27.9041 + 16.1104i −1.23926 + 0.715489i
\(508\) −10.0636 + 15.0833i −0.446502 + 0.669212i
\(509\) 4.40064 7.62213i 0.195055 0.337845i −0.751864 0.659319i \(-0.770845\pi\)
0.946919 + 0.321474i \(0.104178\pi\)
\(510\) −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
\(514\) −10.1563 + 9.51880i −0.447974 + 0.419856i
\(515\) −0.337209 0.584063i −0.0148592 0.0257369i
\(516\) 26.0952 + 1.69272i 1.14878 + 0.0745180i
\(517\) −3.73417 −0.164228
\(518\) 43.2406 + 4.64487i 1.89988 + 0.204084i
\(519\) 4.76875i 0.209325i
\(520\) 0.385419 + 2.31987i 0.0169018 + 0.101733i
\(521\) −18.9597 + 10.9464i −0.830641 + 0.479571i −0.854072 0.520155i \(-0.825874\pi\)
0.0234312 + 0.999725i \(0.492541\pi\)
\(522\) −12.2366 + 11.4685i −0.535580 + 0.501964i
\(523\) −2.23839 1.29233i −0.0978779 0.0565099i 0.450262 0.892896i \(-0.351331\pi\)
−0.548140 + 0.836387i \(0.684664\pi\)
\(524\) 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
\(528\) −1.43606 + 11.0226i −0.0624963 + 0.479698i
\(529\) −10.3351 17.9009i −0.449351 0.778299i
\(530\) 10.3312 + 3.13015i 0.448760 + 0.135965i
\(531\) 14.7447i 0.639867i
\(532\) −4.86131 + 11.4598i −0.210765 + 0.496847i
\(533\) 7.28554i 0.315572i
\(534\) −12.6261 + 41.6733i −0.546386 + 1.80338i
\(535\) −3.79703 6.57665i −0.164160 0.284334i
\(536\) −39.0260 14.6434i −1.68567 0.632497i
\(537\) −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 \(-0.498223\pi\)
−0.863221 + 0.504826i \(0.831556\pi\)
\(542\) 9.23057 + 9.84873i 0.396487 + 0.423039i
\(543\) 26.7472 15.4425i 1.14783 0.662702i
\(544\) −21.9883 + 15.8127i −0.942739 + 0.677962i
\(545\) 3.29011i 0.140933i
\(546\) −4.80179 + 6.57738i −0.205498 + 0.281486i
\(547\) 7.90194 0.337863 0.168931 0.985628i \(-0.445968\pi\)
0.168931 + 0.985628i \(0.445968\pi\)
\(548\) −0.0667950 + 1.02972i −0.00285334 + 0.0439874i
\(549\) −25.1072 43.4869i −1.07155 1.85598i
\(550\) 1.02665 + 1.09540i 0.0437766 + 0.0467082i
\(551\) 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
\(556\) 10.3800 15.5574i 0.440209 0.659780i
\(557\) −3.75347 + 2.16707i −0.159040 + 0.0918216i −0.577408 0.816456i \(-0.695936\pi\)
0.418368 + 0.908278i \(0.362602\pi\)
\(558\) 15.1201 49.9049i 0.640086 2.11264i
\(559\) −4.15287 −0.175648
\(560\) −5.81058 8.84518i −0.245542 0.373777i
\(561\) 13.3049 0.561733
\(562\) −11.3374 + 37.4197i −0.478239 + 1.57845i
\(563\) −15.5194 + 8.96012i −0.654064 + 0.377624i −0.790011 0.613092i \(-0.789925\pi\)
0.135948 + 0.990716i \(0.456592\pi\)
\(564\) 10.2210 15.3192i 0.430383 0.645053i
\(565\) −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 −0.801344 0.598204i \(-0.795881\pi\)
0.918732 + 0.394882i \(0.129215\pi\)
\(570\) 5.95558 + 6.35442i 0.249452 + 0.266157i
\(571\) 11.5275 + 19.9663i 0.482412 + 0.835562i 0.999796 0.0201912i \(-0.00642748\pi\)
−0.517384 + 0.855753i \(0.673094\pi\)
\(572\) 0.114269 1.76159i 0.00477784 0.0736556i
\(573\) 4.06989 0.170022
\(574\) −13.2669 29.9824i −0.553748 1.25144i
\(575\) 1.52639i 0.0636548i
\(576\) −23.2127 20.2742i −0.967197 0.844759i
\(577\) −1.95920 + 1.13114i −0.0815624 + 0.0470900i −0.540227 0.841520i \(-0.681661\pi\)
0.458664 + 0.888610i \(0.348328\pi\)
\(578\) 5.72773 + 6.11130i 0.238242 + 0.254197i
\(579\) −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
\(584\) −8.10153 + 21.5914i −0.335244 + 0.893457i
\(585\) 1.60156 + 2.77399i 0.0662165 + 0.114690i
\(586\) −3.87133 + 12.7775i −0.159923 + 0.527836i
\(587\) 23.9357i 0.987932i −0.869481 0.493966i \(-0.835547\pi\)
0.869481 0.493966i \(-0.164453\pi\)
\(588\) 7.78363 35.8121i 0.320991 1.47687i
\(589\) 22.5158i 0.927746i
\(590\) 5.18010 + 1.56946i 0.213261 + 0.0646137i
\(591\) −10.9026 18.8838i −0.448471 0.776775i
\(592\) 6.00636 46.1025i 0.246860 1.89480i
\(593\) 22.7060 + 13.1093i 0.932422 + 0.538334i 0.887577 0.460660i \(-0.152387\pi\)
0.0448454 + 0.998994i \(0.485720\pi\)
\(594\) 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
\(598\) −1.30953 + 1.22734i −0.0535507 + 0.0501896i
\(599\) 21.8531 12.6169i 0.892894 0.515513i 0.0180062 0.999838i \(-0.494268\pi\)
0.874888 + 0.484325i \(0.160935\pi\)
\(600\) −7.30394 + 1.21347i −0.298182 + 0.0495395i
\(601\) 36.0223i 1.46938i −0.678404 0.734689i \(-0.737328\pi\)
0.678404 0.734689i \(-0.262672\pi\)
\(602\) 17.0904 7.56232i 0.696554 0.308217i
\(603\) −56.7748 −2.31205
\(604\) 32.5813 + 2.11346i 1.32572 + 0.0859955i
\(605\) 4.93652 + 8.55030i 0.200698 + 0.347619i
\(606\) −34.3229 + 32.1686i −1.39427 + 1.30676i
\(607\) 14.7983 25.6315i 0.600646 1.04035i −0.392078 0.919932i \(-0.628244\pi\)
0.992723 0.120417i \(-0.0384232\pi\)
\(608\) 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
\(612\) −20.4742 + 30.6865i −0.827619 + 1.24043i
\(613\) 36.2849 20.9491i 1.46553 0.846126i 0.466276 0.884639i \(-0.345595\pi\)
0.999258 + 0.0385129i \(0.0122621\pi\)
\(614\) 14.0338 + 4.25194i 0.566358 + 0.171594i
\(615\) −22.9380 −0.924949
\(616\) 2.73757 + 7.45759i 0.110300 + 0.300475i
\(617\) −27.0195 −1.08776 −0.543882 0.839162i \(-0.683046\pi\)
−0.543882 + 0.839162i \(0.683046\pi\)
\(618\) −2.38945 0.723954i −0.0961178 0.0291217i
\(619\) 40.2079 23.2141i 1.61609 0.933052i 0.628176 0.778072i \(-0.283802\pi\)
0.987918 0.154980i \(-0.0495313\pi\)
\(620\) −15.9231 10.6240i −0.639487 0.426669i
\(621\) 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
\(626\) −1.10417 + 1.03486i −0.0441314 + 0.0413615i
\(627\) −3.26874 5.66163i −0.130541 0.226104i
\(628\) 1.97163 30.3949i 0.0786767 1.21289i
\(629\) −55.6482 −2.21884
\(630\) −11.6424 8.49945i −0.463843 0.338626i
\(631\) 23.9781i 0.954555i 0.878753 + 0.477277i \(0.158376\pi\)
−0.878753 + 0.477277i \(0.841624\pi\)
\(632\) 26.3511 4.37793i 1.04819 0.174145i
\(633\) 27.1383 15.6683i 1.07865 0.622759i
\(634\) 11.3970 10.6817i 0.452635 0.424225i
\(635\) 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
\(640\) −9.59352 + 5.99703i −0.379217 + 0.237054i
\(641\) 10.8998 + 18.8790i 0.430516 + 0.745676i 0.996918 0.0784533i \(-0.0249982\pi\)
−0.566401 + 0.824129i \(0.691665\pi\)
\(642\) −26.9056 8.15184i −1.06188 0.321728i
\(643\) 7.09006i 0.279605i 0.990179 + 0.139802i \(0.0446467\pi\)
−0.990179 + 0.139802i \(0.955353\pi\)
\(644\) 3.15419 7.43554i 0.124292 0.293001i
\(645\) 13.0750i 0.514828i
\(646\) 4.61870 15.2443i 0.181721 0.599779i
\(647\) 6.27831 + 10.8744i 0.246826 + 0.427515i 0.962643 0.270772i \(-0.0872791\pi\)
−0.715817 + 0.698287i \(0.753946\pi\)
\(648\) 15.1361 + 5.67936i 0.594601 + 0.223106i
\(649\) −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 \(-0.308031\pi\)
−0.429653 + 0.902994i \(0.641364\pi\)
\(654\) 8.32920 + 8.88700i 0.325697 + 0.347509i
\(655\) 10.0620 5.80928i 0.393154 0.226987i
\(656\) −32.3641 + 13.4567i −1.26361 + 0.525397i
\(657\) 31.4110i 1.22546i
\(658\) 1.40570 13.0861i 0.0548000 0.510151i
\(659\) −15.1907 −0.591746 −0.295873 0.955227i \(-0.595610\pi\)
−0.295873 + 0.955227i \(0.595610\pi\)
\(660\) 5.54623 + 0.359768i 0.215887 + 0.0140040i
\(661\) −9.77442 16.9298i −0.380181 0.658492i 0.610907 0.791702i \(-0.290805\pi\)
−0.991088 + 0.133210i \(0.957472\pi\)
\(662\) 24.9237 + 26.5928i 0.968685 + 1.03356i
\(663\) 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
\(668\) 18.5457 + 12.3738i 0.717555 + 0.478756i
\(669\) 60.0760 34.6849i 2.32267 1.34099i
\(670\) −6.04323 + 19.9460i −0.233470 + 0.770582i
\(671\) 13.8369 0.534168
\(672\) −38.0874 9.18196i −1.46925 0.354202i
\(673\) −49.5831 −1.91129 −0.955644 0.294524i \(-0.904839\pi\)
−0.955644 + 0.294524i \(0.904839\pi\)
\(674\) 6.91283 22.8162i 0.266272 0.878847i
\(675\) −1.93265 + 1.11581i −0.0743876 + 0.0429477i
\(676\) 20.4778 + 13.6629i 0.787609 + 0.525497i
\(677\) −13.1028 + 22.6948i −0.503582 + 0.872230i 0.496409 + 0.868089i \(0.334652\pi\)
−0.999991 + 0.00414150i \(0.998682\pi\)
\(678\) 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
\(682\) 9.82604 + 10.4841i 0.376259 + 0.401456i
\(683\) 12.5578 + 21.7507i 0.480510 + 0.832268i 0.999750 0.0223606i \(-0.00711819\pi\)
−0.519240 + 0.854629i \(0.673785\pi\)
\(684\) 18.0881 + 1.17332i 0.691615 + 0.0448632i
\(685\) 0.515941 0.0197131
\(686\) −6.91917 25.2611i −0.264175 0.964475i
\(687\) 53.3750i 2.03638i
\(688\) −7.67055 18.4480i −0.292437 0.703325i
\(689\) −5.49629 + 3.17329i −0.209392 + 0.120893i
\(690\) −3.86418 4.12296i −0.147107 0.156959i
\(691\) 2.76681 + 1.59742i 0.105254 + 0.0607686i 0.551703 0.834041i \(-0.313978\pi\)
−0.446449 + 0.894809i \(0.647312\pi\)
\(692\) −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
\(696\) 21.3385 + 8.00663i 0.808832 + 0.303491i
\(697\) 20.9765 + 36.3324i 0.794541 + 1.37619i
\(698\) −5.85501 + 19.3248i −0.221615 + 0.731455i
\(699\) 49.2147i 1.86147i
\(700\) −4.22525 + 3.18547i −0.159700 + 0.120400i
\(701\) 44.9260i 1.69683i 0.529331 + 0.848416i \(0.322443\pi\)
−0.529331 + 0.848416i \(0.677557\pi\)
\(702\) 2.51129 + 0.760868i 0.0947825 + 0.0287171i
\(703\) 13.6716 + 23.6800i 0.515635 + 0.893107i
\(704\) 8.03644 2.74612i 0.302885 0.103498i
\(705\) −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 \(-0.406393\pi\)
−0.683920 + 0.729557i \(0.739726\pi\)
\(710\) −10.3150 + 9.66755i −0.387114 + 0.362817i
\(711\) 31.5094 18.1920i 1.18169 0.682252i
\(712\) 32.8187 5.45245i 1.22993 0.204339i
\(713\) 14.6090i 0.547111i
\(714\) −5.00854 + 46.6261i −0.187440 + 1.74494i
\(715\) −0.882644 −0.0330090
\(716\) −0.332499 + 5.12584i −0.0124261 + 0.191562i
\(717\) −23.1374 40.0751i −0.864082 1.49663i
\(718\) 8.72515 8.17751i 0.325620 0.305182i
\(719\) 15.1586 26.2555i 0.565321 0.979165i −0.431699 0.902018i \(-0.642086\pi\)
0.997020 0.0771470i \(-0.0245811\pi\)
\(720\) −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
\(724\) −19.6289 13.0965i −0.729501 0.486727i
\(725\) 2.66580 1.53910i 0.0990052 0.0571607i
\(726\) 34.9800 + 10.5982i 1.29823 + 0.393336i
\(727\) 9.03069 0.334930 0.167465 0.985878i \(-0.446442\pi\)
0.167465 + 0.985878i \(0.446442\pi\)
\(728\) 6.13035 + 1.06359i 0.227206 + 0.0394192i
\(729\) 39.5452 1.46464
\(730\) 11.0353 + 3.34345i 0.408433 + 0.123747i
\(731\) −20.7100 + 11.9569i −0.765987 + 0.442243i
\(732\) −37.8739 + 56.7651i −1.39986 + 2.09810i
\(733\) 4.94704 8.56852i 0.182723 0.316486i −0.760084 0.649825i \(-0.774842\pi\)
0.942807 + 0.333339i \(0.108175\pi\)
\(734\) 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
\(738\) −34.8332 + 32.6469i −1.28223 + 1.20175i
\(739\) 16.4166 + 28.4344i 0.603894 + 1.04598i 0.992225 + 0.124455i \(0.0397183\pi\)
−0.388331 + 0.921520i \(0.626948\pi\)
\(740\) −23.1973 1.50474i −0.852750 0.0553155i
\(741\) −5.12020 −0.188095
\(742\) 16.8405 23.0678i 0.618236 0.846845i
\(743\) 51.2689i 1.88088i −0.339966 0.940438i \(-0.610416\pi\)
0.339966 0.940438i \(-0.389584\pi\)
\(744\) −69.9057 + 11.6140i −2.56287 + 0.425791i
\(745\) 3.15569 1.82194i 0.115616 0.0667507i
\(746\) −21.4235 + 20.0788i −0.784369 + 0.735137i
\(747\) −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 \(-0.632882\pi\)
−0.994373 + 0.105940i \(0.966215\pi\)
\(752\) −13.9522 1.81774i −0.508786 0.0662860i
\(753\) 15.5110 + 26.8658i 0.565252 + 0.979045i
\(754\) −3.46395 1.04950i −0.126150 0.0382207i
\(755\) 16.3249i 0.594124i
\(756\) −11.7203 + 1.44180i −0.426264 + 0.0524378i
\(757\) 30.6126i 1.11263i 0.830970 + 0.556317i \(0.187786\pi\)
−0.830970 + 0.556317i \(0.812214\pi\)
\(758\) 5.11720 16.8896i 0.185865 0.613458i
\(759\) 2.12087 + 3.67346i 0.0769828 + 0.133338i
\(760\) 2.33755 6.22979i 0.0847917 0.225978i
\(761\) −15.9088 9.18496i −0.576694 0.332955i 0.183124 0.983090i \(-0.441379\pi\)
−0.759819 + 0.650135i \(0.774712\pi\)
\(762\) 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
\(766\) 5.54541 + 5.91678i 0.200364 + 0.213782i
\(767\) −2.75585 + 1.59109i −0.0995079 + 0.0574509i
\(768\) −10.7313 + 40.4856i −0.387232 + 1.46090i
\(769\) 31.3711i 1.13127i 0.824656 + 0.565635i \(0.191369\pi\)
−0.824656 + 0.565635i \(0.808631\pi\)
\(770\) 3.63237 1.60728i 0.130902 0.0579224i
\(771\) 25.7655 0.927922
\(772\) −0.379014 + 5.84291i −0.0136410 + 0.210291i
\(773\) −3.23165 5.59739i −0.116235 0.201324i 0.802038 0.597273i \(-0.203749\pi\)
−0.918273 + 0.395949i \(0.870416\pi\)
\(774\) −18.6093