Properties

Label 690.2.w.b.7.11
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.11
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.40256 - 1.74150i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.87882 - 3.44079i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 - 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.40256 - 1.74150i) q^{5} +(0.142315 - 0.989821i) q^{6} +(1.87882 - 3.44079i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(1.27475 - 1.83712i) q^{10} +(0.512771 - 0.444318i) q^{11} +(0.0713392 - 0.997452i) q^{12} +(-5.72944 + 3.12851i) q^{13} +(1.62857 - 3.56606i) q^{14} +(-1.40356 - 1.74069i) q^{15} +(0.959493 - 0.281733i) q^{16} +(2.38199 + 3.18196i) q^{17} +(-0.936950 - 0.349464i) q^{18} +(0.239171 + 1.66347i) q^{19} +(1.14044 - 1.92338i) q^{20} +(-2.96279 - 2.56727i) q^{21} +(0.479767 - 0.479767i) q^{22} +(-4.60325 + 1.34539i) q^{23} -1.00000i q^{24} +(-1.06564 - 4.88512i) q^{25} +(-5.49166 + 3.52927i) q^{26} +(-0.599278 + 0.800541i) q^{27} +(1.37002 - 3.67316i) q^{28} +(-2.45679 - 0.353233i) q^{29} +(-1.52417 - 1.63613i) q^{30} +(5.47061 + 3.51575i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-0.325167 - 0.595499i) q^{33} +(2.60292 + 3.00393i) q^{34} +(-3.35699 - 8.09788i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(1.77936 + 4.77064i) q^{37} +(0.357233 + 1.64217i) q^{38} +(1.83913 + 6.26352i) q^{39} +(1.00033 - 1.99984i) q^{40} +(-2.24845 - 4.92341i) q^{41} +(-3.13839 - 2.34937i) q^{42} +(10.7358 + 2.33542i) q^{43} +(0.444318 - 0.512771i) q^{44} +(-1.99926 + 1.00148i) q^{45} +(-4.49554 + 1.67035i) q^{46} +(4.55955 + 4.55955i) q^{47} +(-0.0713392 - 0.997452i) q^{48} +(-4.52463 - 7.04047i) q^{49} +(-1.41143 - 4.79665i) q^{50} +(3.61557 - 1.65118i) q^{51} +(-5.22589 + 3.91205i) q^{52} +(4.09845 + 2.23792i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(-0.0545875 - 1.51617i) q^{55} +(1.10449 - 3.76153i) q^{56} +(1.67630 + 0.119891i) q^{57} +(-2.47573 - 0.177068i) q^{58} +(3.74486 - 12.7538i) q^{59} +(-1.63700 - 1.52323i) q^{60} +(6.18829 - 9.62916i) q^{61} +(5.70748 + 3.11652i) q^{62} +(-3.13839 + 2.34937i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-2.58759 + 14.3657i) q^{65} +(-0.366821 - 0.570784i) q^{66} +(-0.342317 - 4.78621i) q^{67} +(2.81058 + 2.81058i) q^{68} +(0.336152 + 4.78404i) q^{69} +(-3.92613 - 7.83777i) q^{70} +(-7.81093 + 9.01429i) q^{71} +(-0.977147 - 0.212565i) q^{72} +(4.64964 + 3.48068i) q^{73} +(2.11516 + 4.63155i) q^{74} +(-5.00000 + 0.00288011i) q^{75} +(0.473474 + 1.61250i) q^{76} +(-0.565406 - 2.59913i) q^{77} +(2.28128 + 6.11636i) q^{78} +(1.48297 + 0.435439i) q^{79} +(0.855111 - 2.06610i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-2.59395 - 4.75046i) q^{82} +(-11.1767 + 4.16868i) q^{83} +(-3.29799 - 2.11949i) q^{84} +(8.88227 + 0.314670i) q^{85} +(10.8750 + 1.56359i) q^{86} +(-0.867389 + 2.32556i) q^{87} +(0.406606 - 0.543161i) q^{88} +(-1.40078 + 0.900224i) q^{89} +(-1.92272 + 1.14155i) q^{90} +25.5917i q^{91} +(-4.36493 + 1.98681i) q^{92} +(4.59826 - 4.59826i) q^{93} +(4.87320 + 4.22266i) q^{94} +(3.23239 + 1.91661i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(-9.09892 - 3.39372i) q^{97} +(-5.01537 - 6.69975i) q^{98} +(-0.651009 + 0.191153i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) 0.212565 0.977147i 0.122725 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) 1.40256 1.74150i 0.627245 0.778822i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) 1.87882 3.44079i 0.710126 1.30050i −0.234425 0.972134i \(-0.575321\pi\)
0.944551 0.328364i \(-0.106497\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 1.27475 1.83712i 0.403112 0.580948i
\(11\) 0.512771 0.444318i 0.154606 0.133967i −0.574123 0.818769i \(-0.694657\pi\)
0.728729 + 0.684802i \(0.240111\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) −5.72944 + 3.12851i −1.58906 + 0.867693i −0.590921 + 0.806729i \(0.701236\pi\)
−0.998140 + 0.0609635i \(0.980583\pi\)
\(14\) 1.62857 3.56606i 0.435252 0.953070i
\(15\) −1.40356 1.74069i −0.362399 0.449445i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 2.38199 + 3.18196i 0.577717 + 0.771740i 0.990265 0.139196i \(-0.0444519\pi\)
−0.412548 + 0.910936i \(0.635361\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) 0.239171 + 1.66347i 0.0548697 + 0.381627i 0.998690 + 0.0511681i \(0.0162944\pi\)
−0.943820 + 0.330459i \(0.892796\pi\)
\(20\) 1.14044 1.92338i 0.255011 0.430081i
\(21\) −2.96279 2.56727i −0.646534 0.560225i
\(22\) 0.479767 0.479767i 0.102287 0.102287i
\(23\) −4.60325 + 1.34539i −0.959844 + 0.280533i
\(24\) 1.00000i 0.204124i
\(25\) −1.06564 4.88512i −0.213128 0.977024i
\(26\) −5.49166 + 3.52927i −1.07700 + 0.692148i
\(27\) −0.599278 + 0.800541i −0.115331 + 0.154064i
\(28\) 1.37002 3.67316i 0.258909 0.694161i
\(29\) −2.45679 0.353233i −0.456214 0.0655937i −0.0896229 0.995976i \(-0.528566\pi\)
−0.366591 + 0.930382i \(0.619475\pi\)
\(30\) −1.52417 1.63613i −0.278274 0.298715i
\(31\) 5.47061 + 3.51575i 0.982551 + 0.631447i 0.930150 0.367179i \(-0.119676\pi\)
0.0524005 + 0.998626i \(0.483313\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) −0.325167 0.595499i −0.0566043 0.103663i
\(34\) 2.60292 + 3.00393i 0.446397 + 0.515169i
\(35\) −3.35699 8.09788i −0.567434 1.36879i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 1.77936 + 4.77064i 0.292525 + 0.784289i 0.997202 + 0.0747604i \(0.0238192\pi\)
−0.704677 + 0.709528i \(0.748908\pi\)
\(38\) 0.357233 + 1.64217i 0.0579508 + 0.266396i
\(39\) 1.83913 + 6.26352i 0.294497 + 1.00297i
\(40\) 1.00033 1.99984i 0.158166 0.316202i
\(41\) −2.24845 4.92341i −0.351148 0.768907i −0.999968 0.00796540i \(-0.997465\pi\)
0.648820 0.760942i \(-0.275263\pi\)
\(42\) −3.13839 2.34937i −0.484264 0.362515i
\(43\) 10.7358 + 2.33542i 1.63719 + 0.356148i 0.934670 0.355517i \(-0.115695\pi\)
0.702518 + 0.711666i \(0.252059\pi\)
\(44\) 0.444318 0.512771i 0.0669835 0.0773031i
\(45\) −1.99926 + 1.00148i −0.298032 + 0.149292i
\(46\) −4.49554 + 1.67035i −0.662832 + 0.246280i
\(47\) 4.55955 + 4.55955i 0.665078 + 0.665078i 0.956573 0.291494i \(-0.0941524\pi\)
−0.291494 + 0.956573i \(0.594152\pi\)
\(48\) −0.0713392 0.997452i −0.0102969 0.143970i
\(49\) −4.52463 7.04047i −0.646376 1.00578i
\(50\) −1.41143 4.79665i −0.199606 0.678349i
\(51\) 3.61557 1.65118i 0.506282 0.231211i
\(52\) −5.22589 + 3.91205i −0.724701 + 0.542504i
\(53\) 4.09845 + 2.23792i 0.562965 + 0.307402i 0.735416 0.677616i \(-0.236987\pi\)
−0.172451 + 0.985018i \(0.555169\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) −0.0545875 1.51617i −0.00736058 0.204441i
\(56\) 1.10449 3.76153i 0.147593 0.502656i
\(57\) 1.67630 + 0.119891i 0.222031 + 0.0158800i
\(58\) −2.47573 0.177068i −0.325079 0.0232501i
\(59\) 3.74486 12.7538i 0.487539 1.66041i −0.237260 0.971446i \(-0.576249\pi\)
0.724799 0.688960i \(-0.241932\pi\)
\(60\) −1.63700 1.52323i −0.211336 0.196648i
\(61\) 6.18829 9.62916i 0.792329 1.23289i −0.176290 0.984338i \(-0.556410\pi\)
0.968619 0.248550i \(-0.0799539\pi\)
\(62\) 5.70748 + 3.11652i 0.724851 + 0.395799i
\(63\) −3.13839 + 2.34937i −0.395400 + 0.295993i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −2.58759 + 14.3657i −0.320952 + 1.78185i
\(66\) −0.366821 0.570784i −0.0451525 0.0702587i
\(67\) −0.342317 4.78621i −0.0418206 0.584729i −0.974553 0.224159i \(-0.928037\pi\)
0.932732 0.360570i \(-0.117418\pi\)
\(68\) 2.81058 + 2.81058i 0.340833 + 0.340833i
\(69\) 0.336152 + 4.78404i 0.0404680 + 0.575930i
\(70\) −3.92613 7.83777i −0.469262 0.936792i
\(71\) −7.81093 + 9.01429i −0.926987 + 1.06980i 0.0703974 + 0.997519i \(0.477573\pi\)
−0.997384 + 0.0722809i \(0.976972\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) 4.64964 + 3.48068i 0.544199 + 0.407383i 0.835698 0.549189i \(-0.185063\pi\)
−0.291499 + 0.956571i \(0.594154\pi\)
\(74\) 2.11516 + 4.63155i 0.245882 + 0.538407i
\(75\) −5.00000 + 0.00288011i −0.577350 + 0.000332566i
\(76\) 0.473474 + 1.61250i 0.0543112 + 0.184967i
\(77\) −0.565406 2.59913i −0.0644340 0.296198i
\(78\) 2.28128 + 6.11636i 0.258304 + 0.692541i
\(79\) 1.48297 + 0.435439i 0.166847 + 0.0489907i 0.364089 0.931364i \(-0.381380\pi\)
−0.197242 + 0.980355i \(0.563198\pi\)
\(80\) 0.855111 2.06610i 0.0956043 0.230997i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −2.59395 4.75046i −0.286454 0.524601i
\(83\) −11.1767 + 4.16868i −1.22680 + 0.457572i −0.877562 0.479463i \(-0.840831\pi\)
−0.349235 + 0.937035i \(0.613559\pi\)
\(84\) −3.29799 2.11949i −0.359841 0.231256i
\(85\) 8.88227 + 0.314670i 0.963418 + 0.0341307i
\(86\) 10.8750 + 1.56359i 1.17268 + 0.168606i
\(87\) −0.867389 + 2.32556i −0.0929938 + 0.249326i
\(88\) 0.406606 0.543161i 0.0433443 0.0579012i
\(89\) −1.40078 + 0.900224i −0.148482 + 0.0954236i −0.612772 0.790259i \(-0.709946\pi\)
0.464290 + 0.885683i \(0.346309\pi\)
\(90\) −1.92272 + 1.14155i −0.202673 + 0.120330i
\(91\) 25.5917i 2.68274i
\(92\) −4.36493 + 1.98681i −0.455075 + 0.207139i
\(93\) 4.59826 4.59826i 0.476818 0.476818i
\(94\) 4.87320 + 4.22266i 0.502633 + 0.435534i
\(95\) 3.23239 + 1.91661i 0.331636 + 0.196640i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) −9.09892 3.39372i −0.923856 0.344580i −0.157886 0.987457i \(-0.550468\pi\)
−0.765969 + 0.642877i \(0.777741\pi\)
\(98\) −5.01537 6.69975i −0.506629 0.676776i
\(99\) −0.651009 + 0.191153i −0.0654289 + 0.0192116i
\(100\) −1.75002 4.68374i −0.175002 0.468374i
\(101\) 2.64440 5.79044i 0.263128 0.576170i −0.731244 0.682116i \(-0.761060\pi\)
0.994372 + 0.105946i \(0.0337871\pi\)
\(102\) 3.48857 1.90490i 0.345420 0.188613i
\(103\) −0.528338 + 7.38713i −0.0520587 + 0.727876i 0.902658 + 0.430359i \(0.141613\pi\)
−0.954717 + 0.297517i \(0.903842\pi\)
\(104\) −4.93349 + 4.27490i −0.483769 + 0.419188i
\(105\) −8.62640 + 1.55894i −0.841851 + 0.152137i
\(106\) 4.24766 + 1.93984i 0.412569 + 0.188414i
\(107\) −10.1771 + 2.21389i −0.983857 + 0.214025i −0.675592 0.737276i \(-0.736112\pi\)
−0.308265 + 0.951301i \(0.599748\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) 1.29119 8.98042i 0.123674 0.860168i −0.829664 0.558263i \(-0.811468\pi\)
0.953338 0.301906i \(-0.0976227\pi\)
\(110\) −0.162611 1.50842i −0.0155044 0.143822i
\(111\) 5.03985 0.724621i 0.478361 0.0687780i
\(112\) 0.833327 3.83074i 0.0787420 0.361971i
\(113\) −3.98860 + 0.285271i −0.375216 + 0.0268360i −0.257674 0.966232i \(-0.582956\pi\)
−0.117542 + 0.993068i \(0.537502\pi\)
\(114\) 1.68058 0.157401
\(115\) −4.11335 + 9.90355i −0.383572 + 0.923511i
\(116\) −2.48205 −0.230453
\(117\) 6.51131 0.465698i 0.601971 0.0430538i
\(118\) 2.82547 12.9885i 0.260106 1.19569i
\(119\) 15.4238 2.21761i 1.41390 0.203288i
\(120\) −1.74150 1.40256i −0.158976 0.128036i
\(121\) −1.49995 + 10.4324i −0.136359 + 0.948397i
\(122\) 5.48558 10.0461i 0.496641 0.909531i
\(123\) −5.28883 + 1.15052i −0.476878 + 0.103738i
\(124\) 5.91527 + 2.70141i 0.531207 + 0.242594i
\(125\) −10.0021 4.99587i −0.894612 0.446844i
\(126\) −2.96279 + 2.56727i −0.263946 + 0.228711i
\(127\) −0.991568 + 13.8639i −0.0879875 + 1.23023i 0.741211 + 0.671272i \(0.234252\pi\)
−0.829199 + 0.558954i \(0.811203\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) 4.56410 9.99398i 0.401847 0.879921i
\(130\) −1.55616 + 14.5137i −0.136484 + 1.27294i
\(131\) −5.52602 + 1.62259i −0.482811 + 0.141766i −0.514075 0.857745i \(-0.671865\pi\)
0.0312645 + 0.999511i \(0.490047\pi\)
\(132\) −0.406606 0.543161i −0.0353905 0.0472761i
\(133\) 6.17303 + 2.30242i 0.535270 + 0.199645i
\(134\) −0.682889 4.74960i −0.0589926 0.410303i
\(135\) 0.553618 + 2.16645i 0.0476479 + 0.186458i
\(136\) 3.00393 + 2.60292i 0.257585 + 0.223198i
\(137\) −2.25904 + 2.25904i −0.193003 + 0.193003i −0.796992 0.603989i \(-0.793577\pi\)
0.603989 + 0.796992i \(0.293577\pi\)
\(138\) 0.676585 + 4.74787i 0.0575947 + 0.404165i
\(139\) 12.0020i 1.01800i 0.860766 + 0.509000i \(0.169985\pi\)
−0.860766 + 0.509000i \(0.830015\pi\)
\(140\) −4.47527 7.53771i −0.378229 0.637053i
\(141\) 5.42455 3.48615i 0.456829 0.293586i
\(142\) −7.14796 + 9.54855i −0.599843 + 0.801297i
\(143\) −1.54783 + 4.14990i −0.129436 + 0.347032i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −4.06095 + 3.78307i −0.337244 + 0.314166i
\(146\) 4.88610 + 3.14011i 0.404377 + 0.259877i
\(147\) −7.84135 + 2.92467i −0.646744 + 0.241223i
\(148\) 2.44018 + 4.46885i 0.200582 + 0.367338i
\(149\) −5.00101 5.77147i −0.409698 0.472817i 0.512973 0.858405i \(-0.328544\pi\)
−0.922671 + 0.385588i \(0.873999\pi\)
\(150\) −4.98705 + 0.359569i −0.407191 + 0.0293587i
\(151\) 22.7294 + 6.67394i 1.84969 + 0.543118i 0.999871 + 0.0160417i \(0.00510645\pi\)
0.849818 + 0.527076i \(0.176712\pi\)
\(152\) 0.587302 + 1.57462i 0.0476365 + 0.127718i
\(153\) −0.844897 3.88393i −0.0683059 0.313997i
\(154\) −0.749386 2.55217i −0.0603872 0.205660i
\(155\) 13.7955 4.59601i 1.10808 0.369161i
\(156\) 2.71181 + 5.93803i 0.217118 + 0.475423i
\(157\) 14.4471 + 10.8150i 1.15301 + 0.863131i 0.992298 0.123871i \(-0.0395309\pi\)
0.160709 + 0.987002i \(0.448622\pi\)
\(158\) 1.51026 + 0.328536i 0.120149 + 0.0261369i
\(159\) 3.05797 3.52908i 0.242513 0.279874i
\(160\) 0.705538 2.12184i 0.0557777 0.167746i
\(161\) −4.01945 + 18.3666i −0.316777 + 1.44749i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) −0.963591 13.4728i −0.0754743 1.05527i −0.884208 0.467093i \(-0.845301\pi\)
0.808734 0.588175i \(-0.200153\pi\)
\(164\) −2.92623 4.55331i −0.228500 0.355554i
\(165\) −1.49313 0.268946i −0.116240 0.0209374i
\(166\) −10.8508 + 4.95539i −0.842184 + 0.384613i
\(167\) −9.80590 + 7.34061i −0.758804 + 0.568033i −0.907103 0.420909i \(-0.861711\pi\)
0.148299 + 0.988943i \(0.452620\pi\)
\(168\) −3.44079 1.87882i −0.265463 0.144954i
\(169\) 16.0106 24.9129i 1.23158 1.91638i
\(170\) 8.88209 0.319786i 0.681225 0.0245265i
\(171\) 0.473474 1.61250i 0.0362075 0.123311i
\(172\) 10.9588 + 0.783792i 0.835604 + 0.0597636i
\(173\) −11.4469 0.818698i −0.870291 0.0622444i −0.370953 0.928652i \(-0.620969\pi\)
−0.499338 + 0.866407i \(0.666423\pi\)
\(174\) −0.699275 + 2.38151i −0.0530119 + 0.180542i
\(175\) −18.8108 5.51159i −1.42197 0.416637i
\(176\) 0.366821 0.570784i 0.0276502 0.0430245i
\(177\) −11.6663 6.37030i −0.876895 0.478821i
\(178\) −1.33299 + 0.997861i −0.0999115 + 0.0747928i
\(179\) −4.26821 + 1.94923i −0.319021 + 0.145692i −0.568489 0.822691i \(-0.692472\pi\)
0.249468 + 0.968383i \(0.419744\pi\)
\(180\) −1.83639 + 1.27581i −0.136876 + 0.0950932i
\(181\) 7.97765 + 12.4135i 0.592974 + 0.922686i 0.999957 + 0.00924997i \(0.00294440\pi\)
−0.406983 + 0.913436i \(0.633419\pi\)
\(182\) 1.82569 + 25.5265i 0.135329 + 1.89215i
\(183\) −8.09369 8.09369i −0.598303 0.598303i
\(184\) −4.21207 + 2.29314i −0.310518 + 0.169052i
\(185\) 10.8037 + 3.59237i 0.794306 + 0.264116i
\(186\) 4.25851 4.91458i 0.312249 0.360355i
\(187\) 2.63522 + 0.573257i 0.192706 + 0.0419207i
\(188\) 5.16203 + 3.86425i 0.376480 + 0.281829i
\(189\) 1.62857 + 3.56606i 0.118461 + 0.259393i
\(190\) 3.36088 + 1.68113i 0.243824 + 0.121962i
\(191\) −4.28220 14.5838i −0.309849 1.05525i −0.956323 0.292312i \(-0.905575\pi\)
0.646474 0.762936i \(-0.276243\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) −7.00614 18.7842i −0.504313 1.35211i −0.900864 0.434102i \(-0.857066\pi\)
0.396551 0.918013i \(-0.370207\pi\)
\(194\) −9.31785 2.73597i −0.668982 0.196431i
\(195\) 13.4874 + 5.58212i 0.965854 + 0.399744i
\(196\) −5.48054 6.32488i −0.391467 0.451777i
\(197\) −0.507104 0.928691i −0.0361297 0.0661665i 0.858990 0.511992i \(-0.171092\pi\)
−0.895120 + 0.445825i \(0.852910\pi\)
\(198\) −0.635714 + 0.237109i −0.0451782 + 0.0168506i
\(199\) 0.938963 + 0.603435i 0.0665613 + 0.0427764i 0.573498 0.819207i \(-0.305586\pi\)
−0.506937 + 0.861983i \(0.669222\pi\)
\(200\) −2.07969 4.54696i −0.147057 0.321519i
\(201\) −4.74960 0.682889i −0.335011 0.0481673i
\(202\) 2.22458 5.96433i 0.156521 0.419649i
\(203\) −5.83126 + 7.78965i −0.409274 + 0.546726i
\(204\) 3.34379 2.14892i 0.234112 0.150455i
\(205\) −11.7277 2.98972i −0.819098 0.208811i
\(206\) 7.40600i 0.516001i
\(207\) 4.74616 + 0.688450i 0.329881 + 0.0478506i
\(208\) −4.61595 + 4.61595i −0.320059 + 0.320059i
\(209\) 0.861752 + 0.746712i 0.0596086 + 0.0516512i
\(210\) −8.49321 + 2.17037i −0.586087 + 0.149770i
\(211\) 0.273262 + 1.90058i 0.0188121 + 0.130841i 0.997063 0.0765830i \(-0.0244010\pi\)
−0.978251 + 0.207424i \(0.933492\pi\)
\(212\) 4.37522 + 1.63187i 0.300492 + 0.112078i
\(213\) 7.14796 + 9.54855i 0.489770 + 0.654256i
\(214\) −9.99323 + 2.93428i −0.683123 + 0.200583i
\(215\) 19.1247 15.4207i 1.30429 1.05169i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) 22.3752 12.2178i 1.51893 0.829399i
\(218\) 0.647244 9.04965i 0.0438369 0.612920i
\(219\) 4.38949 3.80351i 0.296614 0.257017i
\(220\) −0.269806 1.49297i −0.0181903 0.100656i
\(221\) −23.6023 10.7788i −1.58766 0.725060i
\(222\) 4.97531 1.08231i 0.333921 0.0726401i
\(223\) −3.40209 + 6.23045i −0.227820 + 0.417222i −0.966437 0.256904i \(-0.917298\pi\)
0.738617 + 0.674126i \(0.235479\pi\)
\(224\) 0.557922 3.88043i 0.0372777 0.259272i
\(225\) −1.06001 + 4.88635i −0.0706675 + 0.325756i
\(226\) −3.95809 + 0.569087i −0.263288 + 0.0378551i
\(227\) −3.53495 + 16.2499i −0.234623 + 1.07854i 0.697552 + 0.716534i \(0.254273\pi\)
−0.932175 + 0.362009i \(0.882091\pi\)
\(228\) 1.67630 0.119891i 0.111016 0.00793999i
\(229\) −18.7338 −1.23797 −0.618983 0.785404i \(-0.712455\pi\)
−0.618983 + 0.785404i \(0.712455\pi\)
\(230\) −3.39636 + 10.1718i −0.223949 + 0.670706i
\(231\) −2.65992 −0.175010
\(232\) −2.47573 + 0.177068i −0.162540 + 0.0116251i
\(233\) 4.21918 19.3953i 0.276408 1.27063i −0.604220 0.796818i \(-0.706515\pi\)
0.880628 0.473809i \(-0.157121\pi\)
\(234\) 6.46150 0.929024i 0.422402 0.0607322i
\(235\) 14.3355 1.54540i 0.935145 0.100811i
\(236\) 1.89168 13.1570i 0.123138 0.856445i
\(237\) 0.740716 1.35652i 0.0481147 0.0881155i
\(238\) 15.2263 3.31228i 0.986975 0.214703i
\(239\) 24.4595 + 11.1703i 1.58216 + 0.722547i 0.996142 0.0877542i \(-0.0279690\pi\)
0.586014 + 0.810301i \(0.300696\pi\)
\(240\) −1.83712 1.27475i −0.118586 0.0822848i
\(241\) −17.8086 + 15.4312i −1.14715 + 0.994012i −0.147163 + 0.989112i \(0.547014\pi\)
−0.999988 + 0.00489987i \(0.998440\pi\)
\(242\) −0.751890 + 10.5128i −0.0483333 + 0.675788i
\(243\) 0.877679 0.479249i 0.0563031 0.0307438i
\(244\) 4.75493 10.4118i 0.304403 0.666550i
\(245\) −18.6070 1.99504i −1.18876 0.127459i
\(246\) −5.19328 + 1.52489i −0.331112 + 0.0972231i
\(247\) −6.57451 8.78252i −0.418326 0.558819i
\(248\) 6.09292 + 2.27254i 0.386901 + 0.144306i
\(249\) 1.69764 + 11.8073i 0.107584 + 0.748260i
\(250\) −10.3330 4.26960i −0.653515 0.270033i
\(251\) −18.6168 16.1315i −1.17508 1.01821i −0.999430 0.0337616i \(-0.989251\pi\)
−0.175652 0.984452i \(-0.556203\pi\)
\(252\) −2.77209 + 2.77209i −0.174626 + 0.174626i
\(253\) −1.76263 + 2.73518i −0.110816 + 0.171960i
\(254\) 13.8994i 0.872123i
\(255\) 2.19554 8.61240i 0.137490 0.539329i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −11.2959 + 15.0896i −0.704622 + 0.941264i −0.999900 0.0141470i \(-0.995497\pi\)
0.295278 + 0.955411i \(0.404588\pi\)
\(258\) 3.83951 10.2941i 0.239037 0.640884i
\(259\) 19.7579 + 2.84076i 1.22770 + 0.176516i
\(260\) −0.516797 + 14.5878i −0.0320504 + 0.904696i
\(261\) 2.08804 + 1.34190i 0.129246 + 0.0830615i
\(262\) −5.39619 + 2.01267i −0.333377 + 0.124343i
\(263\) −0.173166 0.317129i −0.0106778 0.0195550i 0.872286 0.488997i \(-0.162637\pi\)
−0.882963 + 0.469442i \(0.844455\pi\)
\(264\) −0.444318 0.512771i −0.0273459 0.0315588i
\(265\) 9.64567 3.99862i 0.592529 0.245633i
\(266\) 6.32155 + 1.85618i 0.387599 + 0.113809i
\(267\) 0.581895 + 1.56012i 0.0356114 + 0.0954778i
\(268\) −1.01998 4.68878i −0.0623053 0.286413i
\(269\) −6.76273 23.0318i −0.412331 1.40427i −0.860102 0.510122i \(-0.829600\pi\)
0.447771 0.894148i \(-0.352218\pi\)
\(270\) 0.706760 + 2.12144i 0.0430121 + 0.129106i
\(271\) 4.66151 + 10.2073i 0.283166 + 0.620048i 0.996753 0.0805191i \(-0.0256578\pi\)
−0.713587 + 0.700567i \(0.752931\pi\)
\(272\) 3.18196 + 2.38199i 0.192935 + 0.144429i
\(273\) 25.0069 + 5.43991i 1.51349 + 0.329239i
\(274\) −2.09213 + 2.41444i −0.126390 + 0.145862i
\(275\) −2.71698 2.03146i −0.163840 0.122502i
\(276\) 1.01357 + 4.68750i 0.0610097 + 0.282154i
\(277\) −14.4213 14.4213i −0.866493 0.866493i 0.125589 0.992082i \(-0.459918\pi\)
−0.992082 + 0.125589i \(0.959918\pi\)
\(278\) 0.856216 + 11.9715i 0.0513524 + 0.718001i
\(279\) −3.51575 5.47061i −0.210482 0.327517i
\(280\) −5.00160 7.19924i −0.298903 0.430237i
\(281\) 1.66393 0.759890i 0.0992616 0.0453313i −0.365165 0.930943i \(-0.618988\pi\)
0.464427 + 0.885611i \(0.346260\pi\)
\(282\) 5.16203 3.86425i 0.307394 0.230112i
\(283\) −10.1636 5.54977i −0.604166 0.329900i 0.147885 0.989005i \(-0.452754\pi\)
−0.752051 + 0.659105i \(0.770935\pi\)
\(284\) −6.44856 + 10.0342i −0.382652 + 0.595417i
\(285\) 2.55990 2.75112i 0.151635 0.162962i
\(286\) −1.24784 + 4.24975i −0.0737863 + 0.251293i
\(287\) −21.1649 1.51374i −1.24932 0.0893533i
\(288\) −0.997452 0.0713392i −0.0587754 0.00420370i
\(289\) 0.338428 1.15258i 0.0199075 0.0677988i
\(290\) −3.78073 + 4.06313i −0.222012 + 0.238595i
\(291\) −5.25028 + 8.16960i −0.307777 + 0.478910i
\(292\) 5.09767 + 2.78354i 0.298318 + 0.162894i
\(293\) −18.3604 + 13.7444i −1.07263 + 0.802957i −0.981227 0.192857i \(-0.938225\pi\)
−0.0913986 + 0.995814i \(0.529134\pi\)
\(294\) −7.61273 + 3.47662i −0.443983 + 0.202760i
\(295\) −16.9584 24.4097i −0.987355 1.42119i
\(296\) 2.75277 + 4.28339i 0.160001 + 0.248967i
\(297\) 0.0484031 + 0.676764i 0.00280863 + 0.0392698i
\(298\) −5.40000 5.40000i −0.312813 0.312813i
\(299\) 22.1650 22.1097i 1.28183 1.27863i
\(300\) −4.94870 + 0.714425i −0.285713 + 0.0412473i
\(301\) 28.2062 32.5517i 1.62578 1.87625i
\(302\) 23.1476 + 5.03544i 1.33199 + 0.289757i
\(303\) −5.09600 3.81482i −0.292757 0.219155i
\(304\) 0.698138 + 1.52871i 0.0400410 + 0.0876775i
\(305\) −8.08973 24.2824i −0.463216 1.39041i
\(306\) −1.11982 3.81376i −0.0640159 0.218018i
\(307\) −1.56376 7.18847i −0.0892482 0.410268i 0.910748 0.412962i \(-0.135506\pi\)
−0.999996 + 0.00269472i \(0.999142\pi\)
\(308\) −0.929546 2.49221i −0.0529658 0.142007i
\(309\) 7.10601 + 2.08651i 0.404247 + 0.118698i
\(310\) 13.4325 5.56846i 0.762916 0.316268i
\(311\) 11.1725 + 12.8937i 0.633532 + 0.731135i 0.978217 0.207584i \(-0.0665599\pi\)
−0.344686 + 0.938718i \(0.612014\pi\)
\(312\) 3.12851 + 5.72944i 0.177117 + 0.324366i
\(313\) −17.0596 + 6.36291i −0.964267 + 0.359653i −0.781779 0.623555i \(-0.785688\pi\)
−0.182488 + 0.983208i \(0.558415\pi\)
\(314\) 15.1819 + 9.75680i 0.856762 + 0.550608i
\(315\) −0.310361 + 8.76064i −0.0174868 + 0.493606i
\(316\) 1.52984 + 0.219958i 0.0860605 + 0.0123736i
\(317\) 8.69000 23.2988i 0.488079 1.30859i −0.426611 0.904435i \(-0.640293\pi\)
0.914690 0.404156i \(-0.132435\pi\)
\(318\) 2.79841 3.73824i 0.156927 0.209630i
\(319\) −1.41672 + 0.910469i −0.0793209 + 0.0509765i
\(320\) 0.552370 2.16677i 0.0308784 0.121126i
\(321\) 10.4151i 0.581315i
\(322\) −2.69895 + 18.6065i −0.150407 + 1.03690i
\(323\) −4.72341 + 4.72341i −0.262818 + 0.262818i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 21.3887 + 24.6551i 1.18643 + 1.36762i
\(326\) −1.92227 13.3697i −0.106465 0.740479i
\(327\) −8.50073 3.17061i −0.470091 0.175335i
\(328\) −3.24361 4.33295i −0.179098 0.239247i
\(329\) 24.2550 7.12191i 1.33722 0.392644i
\(330\) −1.50851 0.161742i −0.0830407 0.00890361i
\(331\) −0.736628 + 1.61299i −0.0404887 + 0.0886580i −0.928796 0.370592i \(-0.879155\pi\)
0.888307 + 0.459250i \(0.151882\pi\)
\(332\) −10.4696 + 5.71685i −0.574595 + 0.313753i
\(333\) 0.363236 5.07870i 0.0199052 0.278311i
\(334\) −9.25725 + 8.02145i −0.506534 + 0.438914i
\(335\) −8.81530 6.11681i −0.481632 0.334197i
\(336\) −3.56606 1.62857i −0.194545 0.0888455i
\(337\) 10.3396 2.24923i 0.563232 0.122524i 0.0780697 0.996948i \(-0.475124\pi\)
0.485162 + 0.874424i \(0.338761\pi\)
\(338\) 14.1925 25.9917i 0.771971 1.41376i
\(339\) −0.569087 + 3.95809i −0.0309086 + 0.214974i
\(340\) 8.83665 0.952612i 0.479234 0.0516627i
\(341\) 4.36728 0.627920i 0.236501 0.0340038i
\(342\) 0.357233 1.64217i 0.0193169 0.0887985i
\(343\) −5.35334 + 0.382878i −0.289053 + 0.0206735i
\(344\) 10.9868 0.592371
\(345\) 8.80287 + 6.12450i 0.473931 + 0.329732i
\(346\) −11.4761 −0.616960
\(347\) 2.72784 0.195099i 0.146438 0.0104735i 0.00207227 0.999998i \(-0.499340\pi\)
0.144366 + 0.989524i \(0.453886\pi\)
\(348\) −0.527598 + 2.42533i −0.0282822 + 0.130011i
\(349\) 5.08131 0.730582i 0.271996 0.0391072i −0.00496701 0.999988i \(-0.501581\pi\)
0.276963 + 0.960881i \(0.410672\pi\)
\(350\) −19.1561 4.15560i −1.02394 0.222126i
\(351\) 0.929024 6.46150i 0.0495876 0.344889i
\(352\) 0.325167 0.595499i 0.0173315 0.0317402i
\(353\) −17.6088 + 3.83056i −0.937221 + 0.203880i −0.655137 0.755510i \(-0.727389\pi\)
−0.282084 + 0.959390i \(0.591026\pi\)
\(354\) −12.0911 5.52180i −0.642632 0.293480i
\(355\) 4.74308 + 26.2458i 0.251736 + 1.39298i
\(356\) −1.25840 + 1.09041i −0.0666952 + 0.0577917i
\(357\) 1.11164 15.5427i 0.0588340 0.822607i
\(358\) −4.11828 + 2.24875i −0.217658 + 0.118850i
\(359\) 2.99950 6.56798i 0.158307 0.346645i −0.813813 0.581127i \(-0.802612\pi\)
0.972121 + 0.234482i \(0.0753393\pi\)
\(360\) −1.74069 + 1.40356i −0.0917425 + 0.0739744i
\(361\) 15.5204 4.55721i 0.816864 0.239853i
\(362\) 8.84289 + 11.8127i 0.464772 + 0.620863i
\(363\) 9.87512 + 3.68323i 0.518309 + 0.193319i
\(364\) 3.64208 + 25.3312i 0.190897 + 1.32772i
\(365\) 12.5830 3.21548i 0.658625 0.168306i
\(366\) −8.65047 7.49567i −0.452167 0.391805i
\(367\) 10.0139 10.0139i 0.522721 0.522721i −0.395671 0.918392i \(-0.629488\pi\)
0.918392 + 0.395671i \(0.129488\pi\)
\(368\) −4.03775 + 2.58778i −0.210482 + 0.134897i
\(369\) 5.41253i 0.281765i
\(370\) 11.0325 + 2.81249i 0.573551 + 0.146214i
\(371\) 15.4005 9.89728i 0.799552 0.513841i
\(372\) 3.89706 5.20586i 0.202053 0.269911i
\(373\) −4.12025 + 11.0468i −0.213339 + 0.571983i −0.998905 0.0467949i \(-0.985099\pi\)
0.785566 + 0.618778i \(0.212372\pi\)
\(374\) 2.66940 + 0.383802i 0.138031 + 0.0198459i
\(375\) −7.00779 + 8.71154i −0.361881 + 0.449862i
\(376\) 5.42455 + 3.48615i 0.279750 + 0.179784i
\(377\) 15.1811 5.66227i 0.781867 0.291621i
\(378\) 1.87882 + 3.44079i 0.0966359 + 0.176975i
\(379\) −8.46392 9.76789i −0.434762 0.501743i 0.495515 0.868599i \(-0.334979\pi\)
−0.930277 + 0.366857i \(0.880434\pi\)
\(380\) 3.47225 + 1.43708i 0.178123 + 0.0737208i
\(381\) 13.3363 + 3.91590i 0.683241 + 0.200618i
\(382\) −5.31168 14.2412i −0.271769 0.728642i
\(383\) 7.43125 + 34.1609i 0.379719 + 1.74554i 0.629277 + 0.777181i \(0.283351\pi\)
−0.249557 + 0.968360i \(0.580285\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) −5.31940 2.66079i −0.271102 0.135606i
\(386\) −8.32833 18.2365i −0.423901 0.928214i
\(387\) −8.79542 6.58417i −0.447096 0.334692i
\(388\) −9.48929 2.06427i −0.481746 0.104797i
\(389\) −25.0250 + 28.8803i −1.26882 + 1.46429i −0.447003 + 0.894532i \(0.647509\pi\)
−0.821812 + 0.569759i \(0.807037\pi\)
\(390\) 13.8513 + 4.60572i 0.701386 + 0.233219i
\(391\) −15.2459 11.4427i −0.771017 0.578681i
\(392\) −5.91779 5.91779i −0.298894 0.298894i
\(393\) 0.410865 + 5.74464i 0.0207254 + 0.289779i
\(394\) −0.572064 0.890149i −0.0288202 0.0448450i
\(395\) 2.83827 1.97186i 0.142809 0.0992151i
\(396\) −0.617179 + 0.281856i −0.0310144 + 0.0141638i
\(397\) −12.9628 + 9.70381i −0.650583 + 0.487020i −0.872865 0.487962i \(-0.837740\pi\)
0.222282 + 0.974982i \(0.428649\pi\)
\(398\) 0.979619 + 0.534912i 0.0491039 + 0.0268127i
\(399\) 3.56198 5.54254i 0.178322 0.277474i
\(400\) −2.39877 4.38701i −0.119939 0.219351i
\(401\) 9.99312 34.0334i 0.499033 1.69955i −0.196028 0.980598i \(-0.562804\pi\)
0.695061 0.718951i \(-0.255377\pi\)
\(402\) −4.78621 0.342317i −0.238715 0.0170732i
\(403\) −42.3426 3.02840i −2.10924 0.150855i
\(404\) 1.79342 6.10784i 0.0892261 0.303876i
\(405\) 2.23462 0.0804541i 0.111039 0.00399780i
\(406\) −5.26069 + 8.18580i −0.261084 + 0.406254i
\(407\) 3.03209 + 1.65564i 0.150295 + 0.0820672i
\(408\) 3.18196 2.38199i 0.157531 0.117926i
\(409\) −22.5399 + 10.2936i −1.11452 + 0.508986i −0.885596 0.464457i \(-0.846250\pi\)
−0.228929 + 0.973443i \(0.573522\pi\)
\(410\) −11.9111 2.14546i −0.588247 0.105957i
\(411\) 1.72722 + 2.68761i 0.0851976 + 0.132570i
\(412\) 0.528338 + 7.38713i 0.0260294 + 0.363938i
\(413\) −36.8474 36.8474i −1.81314 1.81314i
\(414\) 4.78318 + 0.348109i 0.235081 + 0.0171086i
\(415\) −8.41620 + 25.3110i −0.413135 + 1.24247i
\(416\) −4.27490 + 4.93349i −0.209594 + 0.241884i
\(417\) 11.7278 + 2.55122i 0.574311 + 0.124934i
\(418\) 0.912826 + 0.683333i 0.0446478 + 0.0334229i
\(419\) 4.46772 + 9.78295i 0.218263 + 0.477928i 0.986814 0.161860i \(-0.0517493\pi\)
−0.768551 + 0.639788i \(0.779022\pi\)
\(420\) −8.31674 + 2.77074i −0.405815 + 0.135198i
\(421\) −3.57125 12.1626i −0.174052 0.592767i −0.999596 0.0284286i \(-0.990950\pi\)
0.825544 0.564338i \(-0.190869\pi\)
\(422\) 0.408152 + 1.87624i 0.0198685 + 0.0913341i
\(423\) −2.25341 6.04161i −0.109564 0.293753i
\(424\) 4.48049 + 1.31559i 0.217592 + 0.0638908i
\(425\) 13.0059 15.0271i 0.630881 0.728923i
\(426\) 7.81093 + 9.01429i 0.378441 + 0.436744i
\(427\) −21.5053 39.3841i −1.04072 1.90593i
\(428\) −9.75844 + 3.63971i −0.471692 + 0.175932i
\(429\) 3.72605 + 2.39459i 0.179895 + 0.115612i
\(430\) 17.9759 16.7458i 0.866873 0.807554i
\(431\) 12.2317 + 1.75865i 0.589180 + 0.0847113i 0.430456 0.902612i \(-0.358353\pi\)
0.158724 + 0.987323i \(0.449262\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) 0.545690 0.728957i 0.0262242 0.0350314i −0.787237 0.616650i \(-0.788489\pi\)
0.813462 + 0.581618i \(0.197580\pi\)
\(434\) 21.4466 13.7829i 1.02947 0.661601i
\(435\) 2.83339 + 4.77230i 0.135851 + 0.228814i
\(436\) 9.07277i 0.434507i
\(437\) −3.33899 7.33561i −0.159725 0.350910i
\(438\) 4.10696 4.10696i 0.196238 0.196238i
\(439\) 18.4670 + 16.0017i 0.881380 + 0.763720i 0.972691 0.232102i \(-0.0745604\pi\)
−0.0913114 + 0.995822i \(0.529106\pi\)
\(440\) −0.375626 1.46992i −0.0179073 0.0700757i
\(441\) 1.19104 + 8.28383i 0.0567160 + 0.394468i
\(442\) −24.3111 9.06757i −1.15636 0.431300i
\(443\) 11.0583 + 14.7722i 0.525397 + 0.701848i 0.982225 0.187707i \(-0.0601056\pi\)
−0.456828 + 0.889555i \(0.651015\pi\)
\(444\) 4.88542 1.43449i 0.231852 0.0680779i
\(445\) −0.396935 + 3.70207i −0.0188165 + 0.175495i
\(446\) −2.94894 + 6.45728i −0.139636 + 0.305761i
\(447\) −6.70261 + 3.65990i −0.317023 + 0.173107i
\(448\) 0.279673 3.91035i 0.0132133 0.184746i
\(449\) 21.7839 18.8759i 1.02805 0.890807i 0.0339625 0.999423i \(-0.489187\pi\)
0.994084 + 0.108616i \(0.0346419\pi\)
\(450\) −0.708723 + 4.94952i −0.0334095 + 0.233322i
\(451\) −3.34050 1.52555i −0.157298 0.0718355i
\(452\) −3.90741 + 0.850004i −0.183789 + 0.0399808i
\(453\) 11.3529 20.7913i 0.533406 0.976859i
\(454\) −2.36669 + 16.4607i −0.111074 + 0.772537i
\(455\) 44.5680 + 35.8940i 2.08938 + 1.68274i
\(456\) 1.66347 0.239171i 0.0778993 0.0112002i
\(457\) 3.61228 16.6054i 0.168975 0.776767i −0.812159 0.583437i \(-0.801708\pi\)
0.981134 0.193330i \(-0.0619288\pi\)
\(458\) −18.6861 + 1.33646i −0.873144 + 0.0624485i
\(459\) −3.97477 −0.185526
\(460\) −2.66206 + 10.3881i −0.124119 + 0.484350i
\(461\) 16.2965 0.759003 0.379502 0.925191i \(-0.376095\pi\)
0.379502 + 0.925191i \(0.376095\pi\)
\(462\) −2.65314 + 0.189756i −0.123435 + 0.00882827i
\(463\) 6.54177 30.0720i 0.304022 1.39757i −0.531011 0.847365i \(-0.678188\pi\)
0.835033 0.550201i \(-0.185449\pi\)
\(464\) −2.45679 + 0.353233i −0.114054 + 0.0163984i
\(465\) −1.55852 14.4572i −0.0722748 0.670438i
\(466\) 2.82479 19.6469i 0.130856 0.910123i
\(467\) −0.0219352 + 0.0401712i −0.00101504 + 0.00185890i −0.878186 0.478319i \(-0.841246\pi\)
0.877171 + 0.480178i \(0.159428\pi\)
\(468\) 6.37876 1.38761i 0.294858 0.0641425i
\(469\) −17.1115 7.81457i −0.790137 0.360843i
\(470\) 14.1887 2.56415i 0.654477 0.118275i
\(471\) 13.6388 11.8181i 0.628443 0.544549i
\(472\) 0.948258 13.2584i 0.0436471 0.610267i
\(473\) 6.54265 3.57256i 0.300831 0.164266i
\(474\) 0.642056 1.40591i 0.0294906 0.0645754i
\(475\) 7.87140 2.94105i 0.361165 0.134944i
\(476\) 14.9512 4.39007i 0.685288 0.201219i
\(477\) −2.79841 3.73824i −0.128131 0.171162i
\(478\) 25.1941 + 9.39691i 1.15235 + 0.429805i
\(479\) 1.46571 + 10.1943i 0.0669702 + 0.465788i 0.995518 + 0.0945746i \(0.0301491\pi\)
−0.928548 + 0.371213i \(0.878942\pi\)
\(480\) −1.92338 1.14044i −0.0877898 0.0520539i
\(481\) −25.1197 21.7664i −1.14536 0.992461i
\(482\) −16.6623 + 16.6623i −0.758949 + 0.758949i
\(483\) 17.0925 + 7.83169i 0.777734 + 0.356354i
\(484\) 10.5396i 0.479075i
\(485\) −18.6720 + 11.0859i −0.847850 + 0.503383i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) 6.24847 8.34698i 0.283145 0.378238i −0.636309 0.771434i \(-0.719540\pi\)
0.919455 + 0.393196i \(0.128631\pi\)
\(488\) 4.00004 10.7245i 0.181073 0.485476i
\(489\) −13.3697 1.92227i −0.604598 0.0869281i
\(490\) −18.7020 0.662549i −0.844869 0.0299309i
\(491\) −13.2166 8.49379i −0.596456 0.383319i 0.207300 0.978277i \(-0.433532\pi\)
−0.803757 + 0.594958i \(0.797169\pi\)
\(492\) −5.07127 + 1.89148i −0.228630 + 0.0852747i
\(493\) −4.72807 8.65881i −0.212941 0.389973i
\(494\) −7.18430 8.29113i −0.323237 0.373035i
\(495\) −0.580187 + 1.40184i −0.0260775 + 0.0630079i
\(496\) 6.23951 + 1.83209i 0.280162 + 0.0822631i
\(497\) 16.3410 + 43.8120i 0.732996 + 1.96524i
\(498\) 2.53564 + 11.6562i 0.113625 + 0.522325i
\(499\) −10.7082 36.4687i −0.479363 1.63256i −0.743976 0.668207i \(-0.767062\pi\)
0.264612 0.964355i \(-0.414756\pi\)
\(500\) −10.6112 3.52158i −0.474549 0.157490i
\(501\) 5.08846 + 11.1422i 0.227335 + 0.497795i
\(502\) −19.7202 14.7623i −0.880154 0.658875i
\(503\) 21.9121 + 4.76668i 0.977011 + 0.212536i 0.672601 0.740005i \(-0.265177\pi\)
0.304410 + 0.952541i \(0.401541\pi\)
\(504\) −2.56727 + 2.96279i −0.114355 + 0.131973i
\(505\) −6.37510 12.7267i −0.283688 0.566330i
\(506\) −1.56301 + 2.85396i −0.0694844 + 0.126874i
\(507\) −20.9403 20.9403i −0.929992 0.929992i
\(508\) 0.991568 + 13.8639i 0.0439937 + 0.615113i
\(509\) −21.2294 33.0336i −0.940976 1.46419i −0.884911 0.465760i \(-0.845781\pi\)
−0.0560650 0.998427i \(-0.517855\pi\)
\(510\) 1.57555 8.74708i 0.0697664 0.387327i
\(511\) 20.7121 9.45891i 0.916250 0.418437i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) −1.47501 0.805416i −0.0651232 0.0355600i
\(514\) −10.1907 + 15.8570i −0.449492 + 0.699423i
\(515\) 12.1237 + 11.2810i 0.534232 + 0.497101i
\(516\) 3.09535 10.5418i 0.136265 0.464077i
\(517\) 4.36389 + 0.312112i 0.191924 + 0.0137267i
\(518\) 19.9102 + 1.42401i 0.874804 + 0.0625672i
\(519\) −3.23320 + 11.0113i −0.141922 + 0.483341i
\(520\) 0.525200 + 14.5875i 0.0230315 + 0.639703i
\(521\) −0.833831 + 1.29747i −0.0365308 + 0.0568430i −0.859039 0.511911i \(-0.828938\pi\)
0.822508 + 0.568754i \(0.192574\pi\)
\(522\) 2.17845 + 1.18952i 0.0953480 + 0.0520639i
\(523\) 13.1672 9.85683i 0.575761 0.431009i −0.271308 0.962493i \(-0.587456\pi\)
0.847069 + 0.531484i \(0.178365\pi\)
\(524\) −5.23885 + 2.39250i −0.228860 + 0.104517i
\(525\) −9.38417 + 17.2094i −0.409559 + 0.751079i
\(526\) −0.195348 0.303967i −0.00851758 0.0132536i
\(527\) 1.84395 + 25.7818i 0.0803236 + 1.12307i
\(528\) −0.479767 0.479767i −0.0208792 0.0208792i
\(529\) 19.3799 12.3863i 0.842602 0.538536i
\(530\) 9.33584 4.67655i 0.405523 0.203136i
\(531\) −8.70457 + 10.0456i −0.377746 + 0.435943i
\(532\) 6.43787 + 1.40047i 0.279117 + 0.0607182i
\(533\) 28.2853 + 21.1741i 1.22517 + 0.917152i
\(534\) 0.691710 + 1.51463i 0.0299332 + 0.0655446i
\(535\) −10.4185 + 20.8285i −0.450432 + 0.900496i
\(536\) −1.35188 4.60407i −0.0583921 0.198865i
\(537\) 0.997408 + 4.58501i 0.0430413 + 0.197858i
\(538\) −8.38857 22.4906i −0.361657 0.969640i
\(539\) −5.44831 1.59977i −0.234675 0.0689068i
\(540\) 0.856301 + 2.06561i 0.0368493 + 0.0888897i
\(541\) 8.56520 + 9.88477i 0.368247 + 0.424979i 0.909386 0.415954i \(-0.136552\pi\)
−0.541139 + 0.840933i \(0.682007\pi\)
\(542\) 5.37781 + 9.84872i 0.230997 + 0.423039i
\(543\) 13.8256 5.15666i 0.593311 0.221294i
\(544\) 3.34379 + 2.14892i 0.143364 + 0.0921342i
\(545\) −13.8284 14.8442i −0.592344 0.635856i
\(546\) 25.3312 + 3.64208i 1.08408 + 0.155867i
\(547\) −16.2632 + 43.6033i −0.695364 + 1.86434i −0.253174 + 0.967421i \(0.581475\pi\)
−0.442189 + 0.896922i \(0.645798\pi\)
\(548\) −1.91455 + 2.55754i −0.0817857 + 0.109253i
\(549\) −9.62916 + 6.18829i −0.410963 + 0.264110i
\(550\) −2.85498 1.83246i −0.121737 0.0781364i
\(551\) 4.17129i 0.177703i
\(552\) 1.34539 + 4.60325i 0.0572636 + 0.195927i
\(553\) 4.28448 4.28448i 0.182195 0.182195i
\(554\) −15.4134 13.3558i −0.654852 0.567432i
\(555\) 5.80677 9.79322i 0.246484 0.415699i
\(556\) 1.70807 + 11.8799i 0.0724383 + 0.503819i
\(557\) 4.44614 + 1.65833i 0.188389 + 0.0702655i 0.441888 0.897070i \(-0.354309\pi\)
−0.253499 + 0.967336i \(0.581581\pi\)
\(558\) −3.89706 5.20586i −0.164976 0.220382i
\(559\) −68.8163 + 20.2063i −2.91062 + 0.854635i
\(560\) −5.50244 6.82409i −0.232521 0.288370i
\(561\) 1.12031 2.45314i 0.0472996 0.103572i
\(562\) 1.60548 0.876658i 0.0677230 0.0369796i
\(563\) 0.114411 1.59967i 0.00482184 0.0674182i −0.994471 0.105008i \(-0.966513\pi\)
0.999293 + 0.0375893i \(0.0119679\pi\)
\(564\) 4.87320 4.22266i 0.205199 0.177806i
\(565\) −5.09746 + 7.34626i −0.214452 + 0.309060i
\(566\) −10.5337 4.81057i −0.442763 0.202203i
\(567\) 3.83074 0.833327i 0.160876 0.0349964i
\(568\) −5.71630 + 10.4686i −0.239851 + 0.439254i
\(569\) −2.06937 + 14.3928i −0.0867526 + 0.603377i 0.899349 + 0.437232i \(0.144041\pi\)
−0.986101 + 0.166145i \(0.946868\pi\)
\(570\) 2.35712 2.92673i 0.0987287 0.122587i
\(571\) −32.3897 + 4.65693i −1.35547 + 0.194886i −0.781455 0.623962i \(-0.785522\pi\)
−0.574010 + 0.818848i \(0.694613\pi\)
\(572\) −0.941486 + 4.32794i −0.0393655 + 0.180960i
\(573\) −15.1608 + 1.08432i −0.633351 + 0.0452981i
\(574\) −21.2189 −0.885660
\(575\) 11.4778 + 21.0537i 0.478658 + 0.878002i
\(576\) −1.00000 −0.0416667
\(577\) −43.2080 + 3.09030i −1.79877 + 0.128651i −0.930234 0.366968i \(-0.880396\pi\)
−0.868540 + 0.495619i \(0.834941\pi\)
\(578\) 0.255342 1.17379i 0.0106208 0.0488231i
\(579\) −19.8442 + 2.85316i −0.824695 + 0.118573i
\(580\) −3.48123 + 4.32249i −0.144550 + 0.179482i
\(581\) −6.65532 + 46.2888i −0.276109 + 1.92038i
\(582\) −4.65409 + 8.52333i −0.192918 + 0.353304i
\(583\) 3.09591 0.673475i 0.128220 0.0278925i
\(584\) 5.28325 + 2.41278i 0.218623 + 0.0998416i
\(585\) 8.32151 11.9926i 0.344052 0.495834i
\(586\) −17.3331 + 15.0192i −0.716024 + 0.620438i
\(587\) 1.62059 22.6588i 0.0668888 0.935228i −0.847605 0.530628i \(-0.821956\pi\)
0.914494 0.404600i \(-0.132589\pi\)
\(588\) −7.34531 + 4.01084i −0.302916 + 0.165404i
\(589\) −4.53994 + 9.94108i −0.187065 + 0.409615i
\(590\) −18.6565 23.1377i −0.768077 0.952564i
\(591\) −1.01526 + 0.298107i −0.0417622 + 0.0122625i
\(592\) 3.05133 + 4.07609i 0.125409 + 0.167526i
\(593\) 27.3373 + 10.1963i 1.12261 + 0.418711i 0.841117 0.540853i \(-0.181898\pi\)
0.281491 + 0.959564i \(0.409171\pi\)
\(594\) 0.0965596 + 0.671587i 0.00396189 + 0.0275555i
\(595\) 17.7709 29.9709i 0.728535 1.22869i
\(596\) −5.77147 5.00101i −0.236409 0.204849i
\(597\) 0.789235 0.789235i 0.0323012 0.0323012i
\(598\) 20.5312 23.6346i 0.839584 0.966489i
\(599\) 24.6520i 1.00725i 0.863921 + 0.503627i \(0.168002\pi\)
−0.863921 + 0.503627i \(0.831998\pi\)
\(600\) −4.88512 + 1.06564i −0.199434 + 0.0435046i
\(601\) 11.9445 7.67624i 0.487225 0.313120i −0.273864 0.961769i \(-0.588302\pi\)
0.761088 + 0.648648i \(0.224665\pi\)
\(602\) 25.8121 34.4810i 1.05202 1.40534i
\(603\) −1.67688 + 4.49589i −0.0682879 + 0.183087i
\(604\) 23.4478 + 3.37129i 0.954078 + 0.137176i
\(605\) 16.0642 + 17.2442i 0.653102 + 0.701077i
\(606\) −5.35516 3.44155i −0.217539 0.139804i
\(607\) 0.639270 0.238435i 0.0259472 0.00967780i −0.336457 0.941699i \(-0.609229\pi\)
0.362404 + 0.932021i \(0.381956\pi\)
\(608\) 0.805416 + 1.47501i 0.0326639 + 0.0598195i
\(609\) 6.37211 + 7.35380i 0.258211 + 0.297991i
\(610\) −9.80140 23.6434i −0.396847 0.957294i
\(611\) −40.3882 11.8591i −1.63393 0.479766i
\(612\) −1.38904 3.72416i −0.0561485 0.150540i
\(613\) 9.62258 + 44.2343i 0.388652 + 1.78661i 0.590338 + 0.807156i \(0.298995\pi\)
−0.201685 + 0.979450i \(0.564642\pi\)
\(614\) −2.07259 7.05860i −0.0836430 0.284862i
\(615\) −5.41430 + 10.8242i −0.218325 + 0.436473i
\(616\) −1.10497 2.41955i −0.0445205 0.0974863i
\(617\) −9.71374 7.27161i −0.391060 0.292744i 0.385597 0.922667i \(-0.373995\pi\)
−0.776657 + 0.629923i \(0.783086\pi\)
\(618\) 7.23675 + 1.57426i 0.291105 + 0.0633260i
\(619\) −12.0048 + 13.8542i −0.482512 + 0.556848i −0.943849 0.330377i \(-0.892824\pi\)
0.461337 + 0.887225i \(0.347370\pi\)
\(620\) 13.0010 6.51254i 0.522134 0.261550i
\(621\) 1.68159 4.49135i 0.0674797 0.180232i
\(622\) 12.0638 + 12.0638i 0.483715 + 0.483715i
\(623\) 0.465686 + 6.51114i 0.0186573 + 0.260863i
\(624\) 3.52927 + 5.49166i 0.141284 + 0.219842i
\(625\) −22.7288 + 10.4116i −0.909153 + 0.416463i
\(626\) −16.5622 + 7.56372i −0.661960 + 0.302307i
\(627\) 0.912826 0.683333i 0.0364548 0.0272897i
\(628\) 15.8392 + 8.64887i 0.632054 + 0.345128i
\(629\) −10.9416 + 17.0255i −0.436270 + 0.678850i
\(630\) 0.315407 + 8.76046i 0.0125661 + 0.349025i
\(631\) 9.36759 31.9031i 0.372918 1.27004i −0.532829 0.846223i \(-0.678871\pi\)
0.905747 0.423819i \(-0.139311\pi\)
\(632\) 1.54164 + 0.110260i 0.0613231 + 0.00438591i
\(633\) 1.91523 + 0.136980i 0.0761236 + 0.00544447i
\(634\) 7.00574 23.8594i 0.278234 0.947577i
\(635\) 22.7533 + 21.1718i 0.902937 + 0.840179i
\(636\) 2.52460 3.92836i 0.100107 0.155769i
\(637\) 47.9498 + 26.1826i 1.89984 + 1.03739i
\(638\) −1.34816 + 1.00922i −0.0533740 + 0.0399553i
\(639\) 10.8497 4.95491i 0.429209 0.196013i
\(640\) 0.396387 2.20065i 0.0156686 0.0869885i
\(641\) 14.6239 + 22.7552i 0.577608 + 0.898776i 0.999971 0.00765135i \(-0.00243552\pi\)
−0.422363 + 0.906427i \(0.638799\pi\)
\(642\) 0.743006 + 10.3886i 0.0293241 + 0.410004i
\(643\) 18.8269 + 18.8269i 0.742460 + 0.742460i 0.973051 0.230591i \(-0.0740660\pi\)
−0.230591 + 0.973051i \(0.574066\pi\)
\(644\) −1.36470 + 18.7517i −0.0537768 + 0.738919i
\(645\) −11.0031 21.9656i −0.433246 0.864893i
\(646\) −4.37441 + 5.04834i −0.172109 + 0.198624i
\(647\) −3.85047 0.837618i −0.151377 0.0329301i 0.136238 0.990676i \(-0.456499\pi\)
−0.287615 + 0.957746i \(0.592862\pi\)
\(648\) 0.800541 + 0.599278i 0.0314482 + 0.0235419i
\(649\) −3.74650 8.20369i −0.147063 0.322023i
\(650\) 23.0931 + 23.0665i 0.905785 + 0.904742i
\(651\) −7.18239 24.4610i −0.281500 0.958701i
\(652\) −2.87116 13.1985i −0.112443 0.516893i
\(653\) 0.710338 + 1.90449i 0.0277977 + 0.0745284i 0.950107 0.311923i \(-0.100973\pi\)
−0.922310 + 0.386452i \(0.873701\pi\)
\(654\) −8.70526 2.55609i −0.340402 0.0999512i
\(655\) −4.92485 + 11.8993i −0.192430 + 0.464946i
\(656\) −3.54445 4.09052i −0.138388 0.159708i
\(657\) −2.78354 5.09767i −0.108596 0.198879i
\(658\) 23.6851 8.83410i 0.923343 0.344389i
\(659\) 3.28397 + 2.11048i 0.127925 + 0.0822127i 0.603039 0.797712i \(-0.293956\pi\)
−0.475113 + 0.879925i \(0.657593\pi\)
\(660\) −1.51620 0.0537141i −0.0590182 0.00209082i
\(661\) 13.4896 + 1.93951i 0.524684 + 0.0754381i 0.399567 0.916704i \(-0.369160\pi\)
0.125117 + 0.992142i \(0.460070\pi\)
\(662\) −0.619682 + 1.66143i −0.0240846 + 0.0645733i
\(663\) −15.5495 + 20.7717i −0.603892 + 0.806705i
\(664\) −10.0351 + 6.44918i −0.389438 + 0.250277i
\(665\) 12.6677 7.52104i 0.491233 0.291653i
\(666\) 5.09167i 0.197298i
\(667\) 11.7845 1.67932i 0.456296 0.0650235i
\(668\) −8.66142 + 8.66142i −0.335120 + 0.335120i
\(669\) 5.36490 + 4.64872i 0.207419 + 0.179730i
\(670\) −9.22921 5.47235i −0.356556 0.211415i
\(671\) −1.10524 7.68712i −0.0426674 0.296758i
\(672\) −3.67316 1.37002i −0.141695 0.0528495i
\(673\) 14.0067 + 18.7107i 0.539918 + 0.721245i 0.984674 0.174406i \(-0.0558006\pi\)
−0.444756 + 0.895652i \(0.646710\pi\)
\(674\) 10.1528 2.98112i 0.391069 0.114828i
\(675\) 4.54936 + 2.07445i 0.175105 + 0.0798458i
\(676\) 12.3021 26.9379i 0.473159 1.03607i
\(677\) 23.2692 12.7060i 0.894309 0.488330i 0.0347672 0.999395i \(-0.488931\pi\)
0.859542 + 0.511066i \(0.170749\pi\)
\(678\) −0.285271 + 3.98860i −0.0109558 + 0.153181i
\(679\) −28.7723 + 24.9313i −1.10418 + 0.956777i
\(680\) 8.74617 1.58058i 0.335400 0.0606127i
\(681\) 15.1271 + 6.90832i 0.579672 + 0.264727i
\(682\) 4.31136 0.937878i 0.165090 0.0359132i
\(683\) 8.72266 15.9744i 0.333763 0.611242i −0.655868 0.754876i \(-0.727697\pi\)
0.989631 + 0.143634i \(0.0458789\pi\)
\(684\) 0.239171 1.66347i 0.00914495 0.0636045i
\(685\) 0.765674 + 7.10257i 0.0292549 + 0.271375i
\(686\) −5.31238 + 0.763806i −0.202828 + 0.0291622i
\(687\) −3.98216 + 18.3057i −0.151929 + 0.698407i
\(688\) 10.9588 0.783792i 0.417802 0.0298818i
\(689\) −30.4832 −1.16132
\(690\) 9.21736 + 5.48090i 0.350899 + 0.208654i
\(691\) −9.47636 −0.360498 −0.180249 0.983621i \(-0.557690\pi\)
−0.180249 + 0.983621i \(0.557690\pi\)
\(692\) −11.4469 + 0.818698i −0.435145 + 0.0311222i
\(693\) −0.565406 + 2.59913i −0.0214780 + 0.0987328i
\(694\) 2.70697 0.389203i 0.102755 0.0147740i
\(695\) 20.9016 + 16.8336i 0.792841 + 0.638535i
\(696\) −0.353233 + 2.45679i −0.0133893 + 0.0931243i
\(697\) 10.3103 18.8820i 0.390532 0.715206i
\(698\) 5.01624 1.09122i 0.189868 0.0413032i
\(699\) −18.0552 8.24553i −0.682910 0.311874i
\(700\) −19.4038 2.77843i −0.733393 0.105015i
\(701\) −33.0736 + 28.6584i −1.24917 + 1.08241i −0.255890 + 0.966706i \(0.582368\pi\)
−0.993283 + 0.115709i \(0.963086\pi\)
\(702\) 0.465698 6.51131i 0.0175767 0.245754i
\(703\) −7.51027 + 4.10092i −0.283255 + 0.154669i
\(704\) 0.281856 0.617179i 0.0106228 0.0232608i
\(705\) 1.53714 14.3364i 0.0578922 0.539939i
\(706\) −17.2907 + 5.07699i −0.650742 + 0.191075i
\(707\) −14.9554 19.9780i −0.562454 0.751351i
\(708\) −12.4542 4.64517i −0.468056 0.174576i
\(709\) −3.89851 27.1147i −0.146412 1.01831i −0.922032 0.387114i \(-0.873472\pi\)
0.775620 0.631200i \(-0.217437\pi\)
\(710\) 6.60335 + 25.8406i 0.247819 + 0.969780i
\(711\) −1.16807 1.01214i −0.0438060 0.0379581i
\(712\) −1.17741 + 1.17741i −0.0441252 + 0.0441252i
\(713\) −29.9127 8.82377i −1.12024 0.330453i
\(714\) 15.5824i 0.583157i
\(715\) 5.05612 + 8.51605i 0.189088 + 0.318482i
\(716\) −3.94736 + 2.53682i −0.147520 + 0.0948053i
\(717\) 16.1143 21.5261i 0.601799 0.803909i
\(718\) 2.52330 6.76523i 0.0941687 0.252476i
\(719\) −0.877403 0.126151i −0.0327216 0.00470466i 0.125935 0.992039i \(-0.459807\pi\)
−0.158656 + 0.987334i \(0.550716\pi\)
\(720\) −1.63613 + 1.52417i −0.0609749 + 0.0568024i
\(721\) 24.4250 + 15.6970i 0.909633 + 0.584586i
\(722\) 15.1558 5.65281i 0.564039 0.210376i
\(723\) 11.2931 + 20.6817i 0.419994 + 0.769162i
\(724\) 9.66307 + 11.1518i 0.359125 + 0.414453i
\(725\) 0.892468 + 12.3781i 0.0331454 + 0.459712i
\(726\) 10.1127 + 2.96936i 0.375318 + 0.110203i
\(727\) 9.18577 + 24.6280i 0.340681 + 0.913402i 0.988448 + 0.151563i \(0.0484306\pi\)
−0.647766 + 0.761839i \(0.724297\pi\)
\(728\) 5.43991 + 25.0069i 0.201617 + 0.926817i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 12.3216 4.10495i 0.456041 0.151931i
\(731\) 18.1412 + 39.7237i 0.670977 + 1.46924i
\(732\) −9.16316 6.85946i −0.338680 0.253533i
\(733\) 8.98213 + 1.95394i 0.331763 + 0.0721705i 0.375361 0.926879i \(-0.377519\pi\)
−0.0435987 + 0.999049i \(0.513882\pi\)
\(734\) 9.27400 10.7028i 0.342310 0.395046i
\(735\) −5.90466 + 17.7577i −0.217797 + 0.655004i
\(736\) −3.84285 + 2.86923i −0.141649 + 0.105761i
\(737\) −2.30213 2.30213i −0.0848001 0.0848001i
\(738\) 0.386125 + 5.39874i 0.0142135 + 0.198730i
\(739\) −7.41168 11.5328i −0.272643 0.424241i 0.677750 0.735293i \(-0.262955\pi\)
−0.950393 + 0.311051i \(0.899319\pi\)
\(740\) 11.2050 + 2.01827i 0.411904 + 0.0741932i
\(741\) −9.97933 + 4.55741i −0.366600 + 0.167421i
\(742\) 14.6552 10.9707i 0.538008 0.402748i
\(743\) −36.0453 19.6822i −1.32237 0.722070i −0.346014 0.938229i \(-0.612465\pi\)
−0.976358 + 0.216159i \(0.930647\pi\)
\(744\) 3.51575 5.47061i 0.128894 0.200562i
\(745\) −17.0652 + 0.614407i −0.625222 + 0.0225101i
\(746\) −3.32169 + 11.3126i −0.121616 + 0.414184i
\(747\) 11.8984 + 0.850988i 0.435339 + 0.0311360i
\(748\) 2.68998 + 0.192391i 0.0983553 + 0.00703451i
\(749\) −11.5033 + 39.1768i −0.420323 + 1.43149i
\(750\) −6.36846 + 9.18927i −0.232543 + 0.335545i
\(751\) −1.84076 + 2.86428i −0.0671704 + 0.104519i −0.873214 0.487337i \(-0.837968\pi\)
0.806044 + 0.591856i \(0.201605\pi\)
\(752\) 5.65943 + 3.09028i 0.206378 + 0.112691i
\(753\) −19.7202 + 14.7623i −0.718643 + 0.537969i
\(754\) 14.7385 6.73085i 0.536744 0.245123i
\(755\) 43.5020 30.2226i 1.58320 1.09991i
\(756\) 2.11949 + 3.29799i 0.0770852 + 0.119947i
\(757\) −1.49149 20.8537i −0.0542090 0.757941i −0.949759 0.312981i \(-0.898672\pi\)
0.895550 0.444960i \(-0.146782\pi\)
\(758\) −9.13919 9.13919i −0.331950 0.331950i
\(759\) 2.29800 + 2.30375i 0.0834122 + 0.0836210i
\(760\) 3.56592 + 1.18571i 0.129350 + 0.0430103i
\(761\) 0.996455 1.14997i 0.0361215 0.0416864i −0.737401 0.675455i \(-0.763947\pi\)
0.773523 + 0.633768i \(0.218493\pi\)
\(762\) 13.5817 + 2.95452i 0.492013 + 0.107031i
\(763\) −28.4739 21.3153i −1.03082 0.771665i
\(764\) −6.31411 13.8260i −0.228436 0.500206i
\(765\) −7.94888 3.97606i −0.287392 0.143755i
\(766\) 9.84933 + 33.5437i 0.355871 + 1.21198i
\(767\) 18.4445 + 84.7881i 0.665993 + 3.06152i
\(768\) −0.349464 0.936950i −0.0126102 0.0338093i
\(769\) 27.3934 + 8.04344i 0.987832 + 0.290054i 0.735454 0.677575i \(-0.236969\pi\)
0.252378 + 0.967629i \(0.418787\pi\)
\(770\) −5.49567 2.27453i −0.198050 0.0819682i
\(771\) 12.3436 + 14.2453i 0.444545 + 0.513033i
\(772\) −9.60809 17.5959i −0.345803 0.633291i
\(773\) 20.1541 7.51708i 0.724892 0.270371i 0.0401879 0.999192i