Properties

Label 546.2.u.a.425.20
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 425.20
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(-1.72102 + 0.195177i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.349437 + 0.605242i) q^{5} +(-1.39286 + 1.02954i) q^{6} +(-1.78017 + 1.95729i) q^{7} -1.00000i q^{8} +(2.92381 - 0.671806i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(-1.72102 + 0.195177i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.349437 + 0.605242i) q^{5} +(-1.39286 + 1.02954i) q^{6} +(-1.78017 + 1.95729i) q^{7} -1.00000i q^{8} +(2.92381 - 0.671806i) q^{9} +0.698873i q^{10} -1.47903i q^{11} +(-0.691481 + 1.58803i) q^{12} +(-0.668235 + 3.54309i) q^{13} +(-0.563029 + 2.58515i) q^{14} +(0.483258 - 1.10983i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.789186 + 1.36691i) q^{17} +(2.19619 - 2.04371i) q^{18} +7.68450i q^{19} +(0.349437 + 0.605242i) q^{20} +(2.68169 - 3.71598i) q^{21} +(-0.739517 - 1.28088i) q^{22} +(-6.95754 + 4.01694i) q^{23} +(0.195177 + 1.72102i) q^{24} +(2.25579 + 3.90714i) q^{25} +(1.19284 + 3.40252i) q^{26} +(-4.90081 + 1.72685i) q^{27} +(0.804977 + 2.52032i) q^{28} +(4.06467 + 2.34674i) q^{29} +(-0.136404 - 1.20277i) q^{30} +(5.83175 - 3.36696i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.288673 + 2.54545i) q^{33} +1.57837i q^{34} +(-0.562577 - 1.76138i) q^{35} +(0.880105 - 2.86800i) q^{36} +(-0.914289 - 1.58359i) q^{37} +(3.84225 + 6.65498i) q^{38} +(0.458516 - 6.22814i) q^{39} +(0.605242 + 0.349437i) q^{40} +(-1.63806 + 2.83721i) q^{41} +(0.464422 - 4.55898i) q^{42} +(-1.35510 - 2.34709i) q^{43} +(-1.28088 - 0.739517i) q^{44} +(-0.615082 + 2.00437i) q^{45} +(-4.01694 + 6.95754i) q^{46} +(-3.64146 + 6.30720i) q^{47} +(1.02954 + 1.39286i) q^{48} +(-0.661973 - 6.96863i) q^{49} +(3.90714 + 2.25579i) q^{50} +(1.09141 - 2.50651i) q^{51} +(2.73429 + 2.35025i) q^{52} +(6.97573 - 4.02744i) q^{53} +(-3.38080 + 3.94590i) q^{54} +(0.895173 + 0.516829i) q^{55} +(1.95729 + 1.78017i) q^{56} +(-1.49984 - 13.2252i) q^{57} +4.69348 q^{58} +(6.89630 - 11.9447i) q^{59} +(-0.719516 - 0.973431i) q^{60} -3.69483i q^{61} +(3.36696 - 5.83175i) q^{62} +(-3.88997 + 6.91868i) q^{63} -1.00000 q^{64} +(-1.91092 - 1.64253i) q^{65} +(1.52272 + 2.06008i) q^{66} -3.95565 q^{67} +(0.789186 + 1.36691i) q^{68} +(11.1900 - 8.27117i) q^{69} +(-1.36790 - 1.24411i) q^{70} +(-11.6622 + 6.73317i) q^{71} +(-0.671806 - 2.92381i) q^{72} +(-12.7319 + 7.35079i) q^{73} +(-1.58359 - 0.914289i) q^{74} +(-4.64484 - 6.28398i) q^{75} +(6.65498 + 3.84225i) q^{76} +(2.89490 + 2.63294i) q^{77} +(-2.71698 - 5.62299i) q^{78} +(-2.64220 + 4.57643i) q^{79} +0.698873 q^{80} +(8.09735 - 3.92847i) q^{81} +3.27613i q^{82} +0.659952 q^{83} +(-1.87729 - 4.18040i) q^{84} +(-0.551541 - 0.955297i) q^{85} +(-2.34709 - 1.35510i) q^{86} +(-7.45340 - 3.24545i) q^{87} -1.47903 q^{88} +(3.02094 + 5.23242i) q^{89} +(0.469507 + 2.04337i) q^{90} +(-5.74528 - 7.61523i) q^{91} +8.03387i q^{92} +(-9.37940 + 6.93283i) q^{93} +7.28293i q^{94} +(-4.65098 - 2.68525i) q^{95} +(1.58803 + 0.691481i) q^{96} +(10.8368 - 6.25663i) q^{97} +(-4.05760 - 5.70402i) q^{98} +(-0.993624 - 4.32442i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 0.500000i 0.612372 0.353553i
\(3\) −1.72102 + 0.195177i −0.993631 + 0.112685i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −0.349437 + 0.605242i −0.156273 + 0.270672i −0.933522 0.358521i \(-0.883281\pi\)
0.777249 + 0.629193i \(0.216615\pi\)
\(6\) −1.39286 + 1.02954i −0.568632 + 0.420307i
\(7\) −1.78017 + 1.95729i −0.672842 + 0.739786i
\(8\) 1.00000i 0.353553i
\(9\) 2.92381 0.671806i 0.974604 0.223935i
\(10\) 0.698873i 0.221003i
\(11\) 1.47903i 0.445946i −0.974825 0.222973i \(-0.928424\pi\)
0.974825 0.222973i \(-0.0715761\pi\)
\(12\) −0.691481 + 1.58803i −0.199613 + 0.458426i
\(13\) −0.668235 + 3.54309i −0.185335 + 0.982675i
\(14\) −0.563029 + 2.58515i −0.150476 + 0.690910i
\(15\) 0.483258 1.10983i 0.124777 0.286558i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −0.789186 + 1.36691i −0.191406 + 0.331524i −0.945716 0.324993i \(-0.894638\pi\)
0.754311 + 0.656518i \(0.227971\pi\)
\(18\) 2.19619 2.04371i 0.517648 0.481706i
\(19\) 7.68450i 1.76295i 0.472234 + 0.881473i \(0.343448\pi\)
−0.472234 + 0.881473i \(0.656552\pi\)
\(20\) 0.349437 + 0.605242i 0.0781364 + 0.135336i
\(21\) 2.68169 3.71598i 0.585193 0.810894i
\(22\) −0.739517 1.28088i −0.157666 0.273085i
\(23\) −6.95754 + 4.01694i −1.45075 + 0.837589i −0.998524 0.0543159i \(-0.982702\pi\)
−0.452223 + 0.891905i \(0.649369\pi\)
\(24\) 0.195177 + 1.72102i 0.0398403 + 0.351302i
\(25\) 2.25579 + 3.90714i 0.451158 + 0.781428i
\(26\) 1.19284 + 3.40252i 0.233934 + 0.667289i
\(27\) −4.90081 + 1.72685i −0.943162 + 0.332333i
\(28\) 0.804977 + 2.52032i 0.152126 + 0.476296i
\(29\) 4.06467 + 2.34674i 0.754790 + 0.435778i 0.827422 0.561580i \(-0.189806\pi\)
−0.0726317 + 0.997359i \(0.523140\pi\)
\(30\) −0.136404 1.20277i −0.0249038 0.219595i
\(31\) 5.83175 3.36696i 1.04741 0.604725i 0.125490 0.992095i \(-0.459950\pi\)
0.921924 + 0.387370i \(0.126616\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) 0.288673 + 2.54545i 0.0502515 + 0.443105i
\(34\) 1.57837i 0.270688i
\(35\) −0.562577 1.76138i −0.0950929 0.297728i
\(36\) 0.880105 2.86800i 0.146684 0.478000i
\(37\) −0.914289 1.58359i −0.150308 0.260341i 0.781033 0.624490i \(-0.214693\pi\)
−0.931341 + 0.364149i \(0.881360\pi\)
\(38\) 3.84225 + 6.65498i 0.623296 + 1.07958i
\(39\) 0.458516 6.22814i 0.0734214 0.997301i
\(40\) 0.605242 + 0.349437i 0.0956972 + 0.0552508i
\(41\) −1.63806 + 2.83721i −0.255823 + 0.443098i −0.965119 0.261813i \(-0.915680\pi\)
0.709296 + 0.704911i \(0.249013\pi\)
\(42\) 0.464422 4.55898i 0.0716619 0.703466i
\(43\) −1.35510 2.34709i −0.206650 0.357929i 0.744007 0.668172i \(-0.232923\pi\)
−0.950657 + 0.310243i \(0.899590\pi\)
\(44\) −1.28088 0.739517i −0.193100 0.111486i
\(45\) −0.615082 + 2.00437i −0.0916910 + 0.298793i
\(46\) −4.01694 + 6.95754i −0.592265 + 1.02583i
\(47\) −3.64146 + 6.30720i −0.531162 + 0.919999i 0.468177 + 0.883635i \(0.344911\pi\)
−0.999339 + 0.0363646i \(0.988422\pi\)
\(48\) 1.02954 + 1.39286i 0.148601 + 0.201042i
\(49\) −0.661973 6.96863i −0.0945676 0.995518i
\(50\) 3.90714 + 2.25579i 0.552553 + 0.319017i
\(51\) 1.09141 2.50651i 0.152829 0.350981i
\(52\) 2.73429 + 2.35025i 0.379177 + 0.325921i
\(53\) 6.97573 4.02744i 0.958190 0.553212i 0.0625748 0.998040i \(-0.480069\pi\)
0.895616 + 0.444829i \(0.146735\pi\)
\(54\) −3.38080 + 3.94590i −0.460069 + 0.536970i
\(55\) 0.895173 + 0.516829i 0.120705 + 0.0696892i
\(56\) 1.95729 + 1.78017i 0.261554 + 0.237886i
\(57\) −1.49984 13.2252i −0.198658 1.75172i
\(58\) 4.69348 0.616284
\(59\) 6.89630 11.9447i 0.897822 1.55507i 0.0675492 0.997716i \(-0.478482\pi\)
0.830273 0.557357i \(-0.188185\pi\)
\(60\) −0.719516 0.973431i −0.0928891 0.125669i
\(61\) 3.69483i 0.473074i −0.971622 0.236537i \(-0.923988\pi\)
0.971622 0.236537i \(-0.0760125\pi\)
\(62\) 3.36696 5.83175i 0.427605 0.740633i
\(63\) −3.88997 + 6.91868i −0.490090 + 0.871672i
\(64\) −1.00000 −0.125000
\(65\) −1.91092 1.64253i −0.237020 0.203731i
\(66\) 1.52272 + 2.06008i 0.187434 + 0.253579i
\(67\) −3.95565 −0.483260 −0.241630 0.970368i \(-0.577682\pi\)
−0.241630 + 0.970368i \(0.577682\pi\)
\(68\) 0.789186 + 1.36691i 0.0957028 + 0.165762i
\(69\) 11.1900 8.27117i 1.34712 0.995732i
\(70\) −1.36790 1.24411i −0.163495 0.148700i
\(71\) −11.6622 + 6.73317i −1.38405 + 0.799081i −0.992636 0.121135i \(-0.961347\pi\)
−0.391412 + 0.920215i \(0.628013\pi\)
\(72\) −0.671806 2.92381i −0.0791731 0.344575i
\(73\) −12.7319 + 7.35079i −1.49016 + 0.860345i −0.999937 0.0112512i \(-0.996419\pi\)
−0.490225 + 0.871596i \(0.663085\pi\)
\(74\) −1.58359 0.914289i −0.184089 0.106284i
\(75\) −4.64484 6.28398i −0.536340 0.725612i
\(76\) 6.65498 + 3.84225i 0.763378 + 0.440737i
\(77\) 2.89490 + 2.63294i 0.329904 + 0.300051i
\(78\) −2.71698 5.62299i −0.307638 0.636678i
\(79\) −2.64220 + 4.57643i −0.297271 + 0.514888i −0.975511 0.219952i \(-0.929410\pi\)
0.678240 + 0.734841i \(0.262743\pi\)
\(80\) 0.698873 0.0781364
\(81\) 8.09735 3.92847i 0.899706 0.436496i
\(82\) 3.27613i 0.361788i
\(83\) 0.659952 0.0724392 0.0362196 0.999344i \(-0.488468\pi\)
0.0362196 + 0.999344i \(0.488468\pi\)
\(84\) −1.87729 4.18040i −0.204829 0.456120i
\(85\) −0.551541 0.955297i −0.0598230 0.103616i
\(86\) −2.34709 1.35510i −0.253094 0.146124i
\(87\) −7.45340 3.24545i −0.799089 0.347949i
\(88\) −1.47903 −0.157666
\(89\) 3.02094 + 5.23242i 0.320219 + 0.554635i 0.980533 0.196354i \(-0.0629102\pi\)
−0.660314 + 0.750989i \(0.729577\pi\)
\(90\) 0.469507 + 2.04337i 0.0494904 + 0.215391i
\(91\) −5.74528 7.61523i −0.602269 0.798293i
\(92\) 8.03387i 0.837589i
\(93\) −9.37940 + 6.93283i −0.972599 + 0.718901i
\(94\) 7.28293i 0.751176i
\(95\) −4.65098 2.68525i −0.477181 0.275501i
\(96\) 1.58803 + 0.691481i 0.162078 + 0.0705740i
\(97\) 10.8368 6.25663i 1.10031 0.635265i 0.164008 0.986459i \(-0.447558\pi\)
0.936303 + 0.351194i \(0.114224\pi\)
\(98\) −4.05760 5.70402i −0.409880 0.576193i
\(99\) −0.993624 4.32442i −0.0998630 0.434620i
\(100\) 4.51158 0.451158
\(101\) −1.11527 −0.110974 −0.0554869 0.998459i \(-0.517671\pi\)
−0.0554869 + 0.998459i \(0.517671\pi\)
\(102\) −0.308061 2.71641i −0.0305026 0.268964i
\(103\) −13.1642 7.60037i −1.29711 0.748887i −0.317206 0.948357i \(-0.602745\pi\)
−0.979904 + 0.199470i \(0.936078\pi\)
\(104\) 3.54309 + 0.668235i 0.347428 + 0.0655258i
\(105\) 1.31199 + 2.92157i 0.128037 + 0.285116i
\(106\) 4.02744 6.97573i 0.391180 0.677543i
\(107\) 9.24982 5.34039i 0.894214 0.516275i 0.0188956 0.999821i \(-0.493985\pi\)
0.875319 + 0.483547i \(0.160652\pi\)
\(108\) −0.954911 + 5.10766i −0.0918863 + 0.491484i
\(109\) −4.58784 7.94637i −0.439435 0.761124i 0.558211 0.829699i \(-0.311488\pi\)
−0.997646 + 0.0685753i \(0.978155\pi\)
\(110\) 1.03366 0.0985554
\(111\) 1.88259 + 2.54695i 0.178687 + 0.241746i
\(112\) 2.58515 + 0.563029i 0.244274 + 0.0532012i
\(113\) 8.76754 5.06194i 0.824781 0.476187i −0.0272816 0.999628i \(-0.508685\pi\)
0.852062 + 0.523440i \(0.175352\pi\)
\(114\) −7.91149 10.7034i −0.740979 1.00247i
\(115\) 5.61466i 0.523570i
\(116\) 4.06467 2.34674i 0.377395 0.217889i
\(117\) 0.426474 + 10.8082i 0.0394275 + 0.999222i
\(118\) 13.7926i 1.26971i
\(119\) −1.27055 3.97800i −0.116471 0.364663i
\(120\) −1.10983 0.483258i −0.101314 0.0441152i
\(121\) 8.81246 0.801133
\(122\) −1.84741 3.19981i −0.167257 0.289698i
\(123\) 2.26538 5.20260i 0.204263 0.469103i
\(124\) 6.73393i 0.604725i
\(125\) −6.64739 −0.594560
\(126\) 0.0905275 + 7.93674i 0.00806484 + 0.707061i
\(127\) 6.67458 11.5607i 0.592273 1.02585i −0.401652 0.915792i \(-0.631564\pi\)
0.993925 0.110055i \(-0.0351027\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) 2.79024 + 3.77491i 0.245667 + 0.332362i
\(130\) −2.47617 0.467011i −0.217174 0.0409596i
\(131\) −9.16140 + 15.8680i −0.800435 + 1.38639i 0.118895 + 0.992907i \(0.462065\pi\)
−0.919330 + 0.393487i \(0.871269\pi\)
\(132\) 2.34876 + 1.02272i 0.204433 + 0.0890167i
\(133\) −15.0408 13.6797i −1.30420 1.18618i
\(134\) −3.42570 + 1.97783i −0.295935 + 0.170858i
\(135\) 0.667361 3.56960i 0.0574373 0.307223i
\(136\) 1.36691 + 0.789186i 0.117212 + 0.0676721i
\(137\) 17.2602 + 9.96519i 1.47464 + 0.851384i 0.999592 0.0285764i \(-0.00909740\pi\)
0.475048 + 0.879960i \(0.342431\pi\)
\(138\) 5.55527 12.7581i 0.472896 1.08604i
\(139\) 10.8758 6.27916i 0.922475 0.532591i 0.0380515 0.999276i \(-0.487885\pi\)
0.884424 + 0.466684i \(0.154552\pi\)
\(140\) −1.80669 0.393486i −0.152693 0.0332556i
\(141\) 5.03601 11.5655i 0.424108 0.973994i
\(142\) −6.73317 + 11.6622i −0.565035 + 0.978670i
\(143\) 5.24035 + 0.988342i 0.438220 + 0.0826493i
\(144\) −2.04371 2.19619i −0.170309 0.183016i
\(145\) −2.84069 + 1.64007i −0.235906 + 0.136201i
\(146\) −7.35079 + 12.7319i −0.608356 + 1.05370i
\(147\) 2.49938 + 11.8639i 0.206146 + 0.978521i
\(148\) −1.82858 −0.150308
\(149\) 6.75118i 0.553078i 0.961003 + 0.276539i \(0.0891876\pi\)
−0.961003 + 0.276539i \(0.910812\pi\)
\(150\) −7.16454 3.11967i −0.584982 0.254720i
\(151\) 3.81143 + 6.60158i 0.310169 + 0.537229i 0.978399 0.206726i \(-0.0662809\pi\)
−0.668229 + 0.743955i \(0.732948\pi\)
\(152\) 7.68450 0.623296
\(153\) −1.38913 + 4.52677i −0.112305 + 0.365967i
\(154\) 3.82352 + 0.832739i 0.308108 + 0.0671040i
\(155\) 4.70616i 0.378008i
\(156\) −5.16447 3.51116i −0.413489 0.281118i
\(157\) 5.16669 2.98299i 0.412347 0.238069i −0.279451 0.960160i \(-0.590152\pi\)
0.691798 + 0.722091i \(0.256819\pi\)
\(158\) 5.28440i 0.420404i
\(159\) −11.2193 + 8.29280i −0.889749 + 0.657662i
\(160\) 0.605242 0.349437i 0.0478486 0.0276254i
\(161\) 4.52330 20.7688i 0.356486 1.63681i
\(162\) 5.04828 7.45083i 0.396630 0.585393i
\(163\) 7.57988 0.593702 0.296851 0.954924i \(-0.404063\pi\)
0.296851 + 0.954924i \(0.404063\pi\)
\(164\) 1.63806 + 2.83721i 0.127911 + 0.221549i
\(165\) −1.64148 0.714755i −0.127789 0.0556436i
\(166\) 0.571535 0.329976i 0.0443597 0.0256111i
\(167\) −0.895737 + 1.55146i −0.0693142 + 0.120056i −0.898600 0.438770i \(-0.855414\pi\)
0.829285 + 0.558825i \(0.188748\pi\)
\(168\) −3.71598 2.68169i −0.286694 0.206897i
\(169\) −12.1069 4.73523i −0.931302 0.364248i
\(170\) −0.955297 0.551541i −0.0732679 0.0423012i
\(171\) 5.16250 + 22.4680i 0.394786 + 1.71817i
\(172\) −2.71019 −0.206650
\(173\) −16.1435 −1.22737 −0.613685 0.789551i \(-0.710313\pi\)
−0.613685 + 0.789551i \(0.710313\pi\)
\(174\) −8.07756 + 0.916058i −0.612359 + 0.0694462i
\(175\) −11.6631 2.54015i −0.881647 0.192017i
\(176\) −1.28088 + 0.739517i −0.0965500 + 0.0557432i
\(177\) −9.53733 + 21.9031i −0.716869 + 1.64634i
\(178\) 5.23242 + 3.02094i 0.392186 + 0.226429i
\(179\) 0.980251i 0.0732674i −0.999329 0.0366337i \(-0.988337\pi\)
0.999329 0.0366337i \(-0.0116635\pi\)
\(180\) 1.42829 + 1.53486i 0.106459 + 0.114402i
\(181\) 7.63392i 0.567425i 0.958909 + 0.283712i \(0.0915661\pi\)
−0.958909 + 0.283712i \(0.908434\pi\)
\(182\) −8.78317 3.72235i −0.651052 0.275919i
\(183\) 0.721145 + 6.35887i 0.0533085 + 0.470061i
\(184\) 4.01694 + 6.95754i 0.296132 + 0.512916i
\(185\) 1.27794 0.0939563
\(186\) −4.65639 + 10.6937i −0.341423 + 0.784101i
\(187\) 2.02171 + 1.16723i 0.147842 + 0.0853565i
\(188\) 3.64146 + 6.30720i 0.265581 + 0.460000i
\(189\) 5.34435 12.6664i 0.388744 0.921346i
\(190\) −5.37049 −0.389617
\(191\) 22.2493i 1.60991i 0.593338 + 0.804953i \(0.297810\pi\)
−0.593338 + 0.804953i \(0.702190\pi\)
\(192\) 1.72102 0.195177i 0.124204 0.0140857i
\(193\) −7.96297 −0.573187 −0.286593 0.958052i \(-0.592523\pi\)
−0.286593 + 0.958052i \(0.592523\pi\)
\(194\) 6.25663 10.8368i 0.449200 0.778037i
\(195\) 3.60931 + 2.45385i 0.258468 + 0.175724i
\(196\) −6.36600 2.91103i −0.454714 0.207931i
\(197\) 7.75682 + 4.47840i 0.552651 + 0.319073i 0.750190 0.661222i \(-0.229962\pi\)
−0.197540 + 0.980295i \(0.563295\pi\)
\(198\) −3.02271 3.24824i −0.214815 0.230843i
\(199\) 18.8892 + 10.9057i 1.33902 + 0.773082i 0.986662 0.162784i \(-0.0520473\pi\)
0.352356 + 0.935866i \(0.385381\pi\)
\(200\) 3.90714 2.25579i 0.276276 0.159508i
\(201\) 6.80776 0.772052i 0.480182 0.0544564i
\(202\) −0.965855 + 0.557637i −0.0679573 + 0.0392352i
\(203\) −11.8291 + 3.77814i −0.830238 + 0.265174i
\(204\) −1.62499 2.19845i −0.113772 0.153922i
\(205\) −1.14480 1.98285i −0.0799562 0.138488i
\(206\) −15.2007 −1.05909
\(207\) −17.6439 + 16.4189i −1.22634 + 1.14119i
\(208\) 3.40252 1.19284i 0.235922 0.0827082i
\(209\) 11.3656 0.786178
\(210\) 2.59700 + 1.87416i 0.179210 + 0.129330i
\(211\) 6.15759 10.6653i 0.423906 0.734227i −0.572412 0.819966i \(-0.693992\pi\)
0.996318 + 0.0857397i \(0.0273253\pi\)
\(212\) 8.05488i 0.553212i
\(213\) 18.7567 13.8641i 1.28519 0.949953i
\(214\) 5.34039 9.24982i 0.365061 0.632305i
\(215\) 1.89408 0.129175
\(216\) 1.72685 + 4.90081i 0.117497 + 0.333458i
\(217\) −3.79140 + 17.4082i −0.257377 + 1.18175i
\(218\) −7.94637 4.58784i −0.538196 0.310727i
\(219\) 20.4772 15.1358i 1.38372 1.02278i
\(220\) 0.895173 0.516829i 0.0603526 0.0348446i
\(221\) −4.31572 3.70957i −0.290307 0.249533i
\(222\) 2.90384 + 1.26443i 0.194893 + 0.0848628i
\(223\) 10.0515 + 5.80325i 0.673100 + 0.388615i 0.797250 0.603649i \(-0.206287\pi\)
−0.124150 + 0.992263i \(0.539620\pi\)
\(224\) 2.52032 0.804977i 0.168396 0.0537848i
\(225\) 9.22034 + 9.90829i 0.614689 + 0.660553i
\(226\) 5.06194 8.76754i 0.336715 0.583208i
\(227\) −0.594606 + 1.02989i −0.0394654 + 0.0683560i −0.885083 0.465432i \(-0.845899\pi\)
0.845618 + 0.533788i \(0.179232\pi\)
\(228\) −12.2033 5.31369i −0.808181 0.351908i
\(229\) 5.77423 + 3.33375i 0.381572 + 0.220301i 0.678502 0.734599i \(-0.262630\pi\)
−0.296930 + 0.954899i \(0.595963\pi\)
\(230\) −2.80733 4.86244i −0.185110 0.320620i
\(231\) −5.49606 3.96631i −0.361615 0.260964i
\(232\) 2.34674 4.06467i 0.154071 0.266859i
\(233\) 6.24464 + 3.60534i 0.409100 + 0.236194i 0.690403 0.723425i \(-0.257433\pi\)
−0.281303 + 0.959619i \(0.590767\pi\)
\(234\) 5.77346 + 9.14698i 0.377423 + 0.597957i
\(235\) −2.54492 4.40793i −0.166012 0.287542i
\(236\) −6.89630 11.9447i −0.448911 0.777537i
\(237\) 3.65407 8.39181i 0.237357 0.545107i
\(238\) −3.08933 2.80977i −0.200252 0.182131i
\(239\) 6.59526i 0.426612i 0.976985 + 0.213306i \(0.0684231\pi\)
−0.976985 + 0.213306i \(0.931577\pi\)
\(240\) −1.20277 + 0.136404i −0.0776387 + 0.00880483i
\(241\) −3.82445 2.20804i −0.246354 0.142233i 0.371740 0.928337i \(-0.378761\pi\)
−0.618094 + 0.786104i \(0.712095\pi\)
\(242\) 7.63181 4.40623i 0.490592 0.283243i
\(243\) −13.1690 + 8.34138i −0.844789 + 0.535100i
\(244\) −3.19981 1.84741i −0.204847 0.118269i
\(245\) 4.44902 + 2.03444i 0.284238 + 0.129976i
\(246\) −0.639424 5.63828i −0.0407682 0.359484i
\(247\) −27.2269 5.13505i −1.73240 0.326736i
\(248\) −3.36696 5.83175i −0.213802 0.370317i
\(249\) −1.13579 + 0.128807i −0.0719778 + 0.00816283i
\(250\) −5.75681 + 3.32369i −0.364092 + 0.210209i
\(251\) −7.62856 13.2131i −0.481511 0.834001i 0.518264 0.855221i \(-0.326578\pi\)
−0.999775 + 0.0212197i \(0.993245\pi\)
\(252\) 4.04677 + 6.82815i 0.254922 + 0.430133i
\(253\) 5.94119 + 10.2904i 0.373519 + 0.646954i
\(254\) 13.3492i 0.837601i
\(255\) 1.13566 + 1.53644i 0.0711180 + 0.0962153i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −7.35225 12.7345i −0.458621 0.794355i 0.540267 0.841493i \(-0.318323\pi\)
−0.998888 + 0.0471387i \(0.984990\pi\)
\(258\) 4.30388 + 1.87405i 0.267948 + 0.116673i
\(259\) 4.72715 + 1.02954i 0.293731 + 0.0639727i
\(260\) −2.37793 + 0.833640i −0.147473 + 0.0517002i
\(261\) 13.4609 + 4.13075i 0.833208 + 0.255687i
\(262\) 18.3228i 1.13199i
\(263\) 13.3459i 0.822944i 0.911422 + 0.411472i \(0.134985\pi\)
−0.911422 + 0.411472i \(0.865015\pi\)
\(264\) 2.54545 0.288673i 0.156661 0.0177666i
\(265\) 5.62934i 0.345808i
\(266\) −19.8656 4.32660i −1.21804 0.265281i
\(267\) −6.22034 8.41548i −0.380679 0.515019i
\(268\) −1.97783 + 3.42570i −0.120815 + 0.209258i
\(269\) 9.42280 16.3208i 0.574518 0.995095i −0.421576 0.906793i \(-0.638523\pi\)
0.996094 0.0883015i \(-0.0281439\pi\)
\(270\) −1.20685 3.42505i −0.0734465 0.208442i
\(271\) −8.32026 + 4.80370i −0.505420 + 0.291804i −0.730949 0.682432i \(-0.760922\pi\)
0.225529 + 0.974236i \(0.427589\pi\)
\(272\) 1.57837 0.0957028
\(273\) 11.3740 + 11.9846i 0.688389 + 0.725342i
\(274\) 19.9304 1.20404
\(275\) 5.77879 3.33639i 0.348474 0.201192i
\(276\) −1.56803 13.8264i −0.0943840 0.832254i
\(277\) −2.92622 + 5.06836i −0.175819 + 0.304528i −0.940445 0.339947i \(-0.889591\pi\)
0.764625 + 0.644475i \(0.222924\pi\)
\(278\) 6.27916 10.8758i 0.376599 0.652289i
\(279\) 14.7890 13.7622i 0.885395 0.823920i
\(280\) −1.76138 + 0.562577i −0.105263 + 0.0336204i
\(281\) 5.61993i 0.335257i 0.985850 + 0.167628i \(0.0536109\pi\)
−0.985850 + 0.167628i \(0.946389\pi\)
\(282\) −1.42146 12.5341i −0.0846466 0.746392i
\(283\) 15.7084i 0.933770i −0.884318 0.466885i \(-0.845376\pi\)
0.884318 0.466885i \(-0.154624\pi\)
\(284\) 13.4663i 0.799081i
\(285\) 8.52853 + 3.71360i 0.505187 + 0.219975i
\(286\) 5.03244 1.76424i 0.297575 0.104322i
\(287\) −2.63721 8.25689i −0.155670 0.487389i
\(288\) −2.86800 0.880105i −0.168998 0.0518607i
\(289\) 7.25437 + 12.5649i 0.426728 + 0.739114i
\(290\) −1.64007 + 2.84069i −0.0963084 + 0.166811i
\(291\) −17.4292 + 12.8829i −1.02172 + 0.755208i
\(292\) 14.7016i 0.860345i
\(293\) 1.93283 + 3.34776i 0.112917 + 0.195578i 0.916945 0.399013i \(-0.130647\pi\)
−0.804028 + 0.594591i \(0.797314\pi\)
\(294\) 8.09650 + 9.02478i 0.472197 + 0.526336i
\(295\) 4.81964 + 8.34786i 0.280610 + 0.486031i
\(296\) −1.58359 + 0.914289i −0.0920446 + 0.0531420i
\(297\) 2.55407 + 7.24847i 0.148202 + 0.420599i
\(298\) 3.37559 + 5.84670i 0.195543 + 0.338690i
\(299\) −9.58308 27.3354i −0.554204 1.58085i
\(300\) −7.76451 + 0.880555i −0.448284 + 0.0508389i
\(301\) 7.00625 + 1.52592i 0.403833 + 0.0879524i
\(302\) 6.60158 + 3.81143i 0.379878 + 0.219323i
\(303\) 1.91941 0.217675i 0.110267 0.0125051i
\(304\) 6.65498 3.84225i 0.381689 0.220368i
\(305\) 2.23626 + 1.29111i 0.128048 + 0.0739286i
\(306\) 1.06036 + 4.61486i 0.0606167 + 0.263814i
\(307\) 23.4663i 1.33929i 0.742681 + 0.669645i \(0.233554\pi\)
−0.742681 + 0.669645i \(0.766446\pi\)
\(308\) 3.72764 1.19059i 0.212402 0.0678401i
\(309\) 24.1393 + 10.5110i 1.37324 + 0.597952i
\(310\) 2.35308 + 4.07566i 0.133646 + 0.231482i
\(311\) −8.46088 14.6547i −0.479773 0.830991i 0.519958 0.854192i \(-0.325948\pi\)
−0.999731 + 0.0232012i \(0.992614\pi\)
\(312\) −6.22814 0.458516i −0.352599 0.0259584i
\(313\) 14.8585 + 8.57858i 0.839854 + 0.484890i 0.857214 0.514960i \(-0.172193\pi\)
−0.0173608 + 0.999849i \(0.505526\pi\)
\(314\) 2.98299 5.16669i 0.168340 0.291573i
\(315\) −2.82818 4.77201i −0.159350 0.268872i
\(316\) 2.64220 + 4.57643i 0.148635 + 0.257444i
\(317\) 21.3869 + 12.3478i 1.20121 + 0.693519i 0.960824 0.277158i \(-0.0893927\pi\)
0.240386 + 0.970677i \(0.422726\pi\)
\(318\) −5.56980 + 12.7914i −0.312339 + 0.717308i
\(319\) 3.47091 6.01179i 0.194333 0.336595i
\(320\) 0.349437 0.605242i 0.0195341 0.0338341i
\(321\) −14.8768 + 10.9963i −0.830342 + 0.613751i
\(322\) −6.46708 20.2479i −0.360397 1.12837i
\(323\) −10.5040 6.06450i −0.584459 0.337438i
\(324\) 0.646523 8.97675i 0.0359180 0.498708i
\(325\) −15.3507 + 5.38157i −0.851505 + 0.298516i
\(326\) 6.56437 3.78994i 0.363567 0.209905i
\(327\) 9.44670 + 12.7804i 0.522404 + 0.706758i
\(328\) 2.83721 + 1.63806i 0.156659 + 0.0904470i
\(329\) −5.86259 18.3553i −0.323215 1.01196i
\(330\) −1.77894 + 0.201746i −0.0979276 + 0.0111057i
\(331\) 32.0333 1.76071 0.880354 0.474318i \(-0.157305\pi\)
0.880354 + 0.474318i \(0.157305\pi\)
\(332\) 0.329976 0.571535i 0.0181098 0.0313671i
\(333\) −3.73708 4.01591i −0.204791 0.220070i
\(334\) 1.79147i 0.0980251i
\(335\) 1.38225 2.39413i 0.0755204 0.130805i
\(336\) −4.55898 0.464422i −0.248713 0.0253363i
\(337\) −22.5440 −1.22805 −0.614024 0.789287i \(-0.710450\pi\)
−0.614024 + 0.789287i \(0.710450\pi\)
\(338\) −12.8525 + 1.95264i −0.699085 + 0.106209i
\(339\) −14.1011 + 10.4229i −0.765868 + 0.566095i
\(340\) −1.10308 −0.0598230
\(341\) −4.97985 8.62536i −0.269674 0.467090i
\(342\) 15.7049 + 16.8767i 0.849222 + 0.912585i
\(343\) 14.8181 + 11.1097i 0.800100 + 0.599867i
\(344\) −2.34709 + 1.35510i −0.126547 + 0.0730619i
\(345\) 1.09585 + 9.66293i 0.0589986 + 0.520235i
\(346\) −13.9807 + 8.07176i −0.751607 + 0.433941i
\(347\) −13.7226 7.92275i −0.736668 0.425316i 0.0841884 0.996450i \(-0.473170\pi\)
−0.820857 + 0.571134i \(0.806504\pi\)
\(348\) −6.53735 + 4.83211i −0.350439 + 0.259028i
\(349\) −19.3134 11.1506i −1.03382 0.596878i −0.115746 0.993279i \(-0.536926\pi\)
−0.918078 + 0.396401i \(0.870259\pi\)
\(350\) −11.3706 + 3.63172i −0.607785 + 0.194123i
\(351\) −2.84349 18.5180i −0.151774 0.988415i
\(352\) −0.739517 + 1.28088i −0.0394164 + 0.0682712i
\(353\) 9.10955 0.484852 0.242426 0.970170i \(-0.422057\pi\)
0.242426 + 0.970170i \(0.422057\pi\)
\(354\) 2.69200 + 23.7373i 0.143078 + 1.26162i
\(355\) 9.41127i 0.499498i
\(356\) 6.04188 0.320219
\(357\) 2.96306 + 6.59823i 0.156822 + 0.349215i
\(358\) −0.490125 0.848922i −0.0259039 0.0448669i
\(359\) −2.65584 1.53335i −0.140170 0.0809271i 0.428275 0.903648i \(-0.359121\pi\)
−0.568445 + 0.822721i \(0.692455\pi\)
\(360\) 2.00437 + 0.615082i 0.105639 + 0.0324177i
\(361\) −40.0516 −2.10798
\(362\) 3.81696 + 6.61117i 0.200615 + 0.347475i
\(363\) −15.1664 + 1.71999i −0.796030 + 0.0902759i
\(364\) −9.46762 + 1.16794i −0.496238 + 0.0612166i
\(365\) 10.2745i 0.537794i
\(366\) 3.80396 + 5.14637i 0.198836 + 0.269005i
\(367\) 2.64140i 0.137880i −0.997621 0.0689399i \(-0.978038\pi\)
0.997621 0.0689399i \(-0.0219617\pi\)
\(368\) 6.95754 + 4.01694i 0.362687 + 0.209397i
\(369\) −2.88334 + 9.39593i −0.150101 + 0.489133i
\(370\) 1.10673 0.638972i 0.0575363 0.0332186i
\(371\) −4.53513 + 20.8231i −0.235452 + 1.08108i
\(372\) 1.31431 + 11.5892i 0.0681436 + 0.600873i
\(373\) −5.38330 −0.278737 −0.139368 0.990241i \(-0.544507\pi\)
−0.139368 + 0.990241i \(0.544507\pi\)
\(374\) 2.33446 0.120712
\(375\) 11.4403 1.29742i 0.590773 0.0669982i
\(376\) 6.30720 + 3.64146i 0.325269 + 0.187794i
\(377\) −11.0309 + 12.8333i −0.568118 + 0.660949i
\(378\) −1.70487 13.6416i −0.0876889 0.701649i
\(379\) 6.88920 11.9324i 0.353874 0.612929i −0.633050 0.774111i \(-0.718197\pi\)
0.986925 + 0.161182i \(0.0515307\pi\)
\(380\) −4.65098 + 2.68525i −0.238590 + 0.137750i
\(381\) −9.23070 + 21.1989i −0.472903 + 1.08605i
\(382\) 11.1247 + 19.2685i 0.569188 + 0.985862i
\(383\) 28.7083 1.46692 0.733462 0.679730i \(-0.237903\pi\)
0.733462 + 0.679730i \(0.237903\pi\)
\(384\) 1.39286 1.02954i 0.0710790 0.0525384i
\(385\) −2.60515 + 0.832071i −0.132771 + 0.0424062i
\(386\) −6.89613 + 3.98148i −0.351004 + 0.202652i
\(387\) −5.53884 5.95210i −0.281555 0.302562i
\(388\) 12.5133i 0.635265i
\(389\) 19.7202 11.3855i 0.999855 0.577267i 0.0916497 0.995791i \(-0.470786\pi\)
0.908205 + 0.418525i \(0.137453\pi\)
\(390\) 4.35268 + 0.320445i 0.220407 + 0.0162264i
\(391\) 12.6804i 0.641277i
\(392\) −6.96863 + 0.661973i −0.351969 + 0.0334347i
\(393\) 12.6699 29.0972i 0.639110 1.46776i
\(394\) 8.95681 0.451237
\(395\) −1.84656 3.19834i −0.0929107 0.160926i
\(396\) −4.24187 1.30171i −0.213162 0.0654132i
\(397\) 10.7013i 0.537084i −0.963268 0.268542i \(-0.913458\pi\)
0.963268 0.268542i \(-0.0865418\pi\)
\(398\) 21.8113 1.09330
\(399\) 28.5555 + 20.6075i 1.42956 + 1.03166i
\(400\) 2.25579 3.90714i 0.112789 0.195357i
\(401\) −10.7399 + 6.20069i −0.536326 + 0.309648i −0.743588 0.668638i \(-0.766878\pi\)
0.207263 + 0.978285i \(0.433544\pi\)
\(402\) 5.50966 4.07249i 0.274797 0.203118i
\(403\) 8.03247 + 22.9123i 0.400126 + 1.14134i
\(404\) −0.557637 + 0.965855i −0.0277435 + 0.0480531i
\(405\) −0.451838 + 6.27361i −0.0224520 + 0.311738i
\(406\) −8.35520 + 9.18650i −0.414662 + 0.455918i
\(407\) −2.34219 + 1.35226i −0.116098 + 0.0670293i
\(408\) −2.50651 1.09141i −0.124091 0.0540331i
\(409\) 10.2314 + 5.90709i 0.505909 + 0.292087i 0.731151 0.682216i \(-0.238984\pi\)
−0.225241 + 0.974303i \(0.572317\pi\)
\(410\) −1.98285 1.14480i −0.0979260 0.0565376i
\(411\) −31.6501 13.7815i −1.56119 0.679790i
\(412\) −13.1642 + 7.60037i −0.648555 + 0.374443i
\(413\) 11.1027 + 34.7618i 0.546330 + 1.71051i
\(414\) −7.07065 + 23.0411i −0.347504 + 1.13241i
\(415\) −0.230611 + 0.399431i −0.0113203 + 0.0196073i
\(416\) 2.35025 2.73429i 0.115231 0.134059i
\(417\) −17.4920 + 12.9293i −0.856585 + 0.633149i
\(418\) 9.84294 5.68282i 0.481434 0.277956i
\(419\) 7.76922 13.4567i 0.379551 0.657402i −0.611446 0.791286i \(-0.709412\pi\)
0.990997 + 0.133884i \(0.0427450\pi\)
\(420\) 3.18615 + 0.324572i 0.155468 + 0.0158375i
\(421\) −26.1683 −1.27537 −0.637683 0.770299i \(-0.720107\pi\)
−0.637683 + 0.770299i \(0.720107\pi\)
\(422\) 12.3152i 0.599494i
\(423\) −6.40974 + 20.8874i −0.311652 + 1.01558i
\(424\) −4.02744 6.97573i −0.195590 0.338771i
\(425\) −7.12094 −0.345416
\(426\) 9.31173 21.3850i 0.451155 1.03611i
\(427\) 7.23185 + 6.57743i 0.349974 + 0.318304i
\(428\) 10.6808i 0.516275i
\(429\) −9.21164 0.678161i −0.444742 0.0327419i
\(430\) 1.64032 0.947040i 0.0791033 0.0456703i
\(431\) 22.4841i 1.08302i 0.840694 + 0.541510i \(0.182147\pi\)
−0.840694 + 0.541510i \(0.817853\pi\)
\(432\) 3.94590 + 3.38080i 0.189847 + 0.162659i
\(433\) 18.0042 10.3947i 0.865226 0.499538i −0.000532949 1.00000i \(-0.500170\pi\)
0.865759 + 0.500461i \(0.166836\pi\)
\(434\) 5.42066 + 16.9717i 0.260200 + 0.814665i
\(435\) 4.56878 3.37703i 0.219056 0.161916i
\(436\) −9.17567 −0.439435
\(437\) −30.8682 53.4652i −1.47662 2.55759i
\(438\) 10.1659 23.3466i 0.485744 1.11554i
\(439\) 9.11578 5.26300i 0.435072 0.251189i −0.266433 0.963853i \(-0.585845\pi\)
0.701505 + 0.712664i \(0.252512\pi\)
\(440\) 0.516829 0.895173i 0.0246388 0.0426757i
\(441\) −6.61705 19.9302i −0.315098 0.949059i
\(442\) −5.59231 1.05472i −0.265999 0.0501680i
\(443\) 22.9533 + 13.2521i 1.09054 + 0.629625i 0.933721 0.358002i \(-0.116542\pi\)
0.156822 + 0.987627i \(0.449875\pi\)
\(444\) 3.14702 0.356896i 0.149351 0.0169375i
\(445\) −4.22251 −0.200166
\(446\) 11.6065 0.549584
\(447\) −1.31767 11.6189i −0.0623238 0.549556i
\(448\) 1.78017 1.95729i 0.0841052 0.0924733i
\(449\) −17.4966 + 10.1017i −0.825716 + 0.476728i −0.852384 0.522917i \(-0.824844\pi\)
0.0266674 + 0.999644i \(0.491510\pi\)
\(450\) 12.9392 + 3.97066i 0.609959 + 0.187179i
\(451\) 4.19633 + 2.42275i 0.197597 + 0.114083i
\(452\) 10.1239i 0.476187i
\(453\) −7.84801 10.6175i −0.368732 0.498856i
\(454\) 1.18921i 0.0558124i
\(455\) 6.61667 0.816241i 0.310194 0.0382660i
\(456\) −13.2252 + 1.49984i −0.619326 + 0.0702363i
\(457\) 6.76192 + 11.7120i 0.316309 + 0.547864i 0.979715 0.200396i \(-0.0642229\pi\)
−0.663406 + 0.748260i \(0.730890\pi\)
\(458\) 6.66750 0.311552
\(459\) 1.50720 8.06178i 0.0703502 0.376292i
\(460\) −4.86244 2.80733i −0.226712 0.130892i
\(461\) 15.2621 + 26.4348i 0.710828 + 1.23119i 0.964547 + 0.263913i \(0.0850131\pi\)
−0.253718 + 0.967278i \(0.581654\pi\)
\(462\) −6.74289 0.686897i −0.313708 0.0319573i
\(463\) −18.9355 −0.880007 −0.440004 0.897996i \(-0.645023\pi\)
−0.440004 + 0.897996i \(0.645023\pi\)
\(464\) 4.69348i 0.217889i
\(465\) −0.918534 8.09939i −0.0425960 0.375600i
\(466\) 7.21069 0.334029
\(467\) −0.784961 + 1.35959i −0.0363237 + 0.0629144i −0.883616 0.468213i \(-0.844898\pi\)
0.847292 + 0.531127i \(0.178231\pi\)
\(468\) 9.57345 + 5.03478i 0.442533 + 0.232733i
\(469\) 7.04175 7.74237i 0.325158 0.357509i
\(470\) −4.40793 2.54492i −0.203323 0.117388i
\(471\) −8.30976 + 6.14220i −0.382894 + 0.283018i
\(472\) −11.9447 6.89630i −0.549801 0.317428i
\(473\) −3.47143 + 2.00423i −0.159617 + 0.0921547i
\(474\) −1.03139 9.09456i −0.0473734 0.417727i
\(475\) −30.0244 + 17.3346i −1.37762 + 0.795367i
\(476\) −4.08033 0.888669i −0.187021 0.0407321i
\(477\) 17.6901 16.4618i 0.809973 0.753735i
\(478\) 3.29763 + 5.71166i 0.150830 + 0.261245i
\(479\) −29.7134 −1.35764 −0.678819 0.734305i \(-0.737508\pi\)
−0.678819 + 0.734305i \(0.737508\pi\)
\(480\) −0.973431 + 0.719516i −0.0444308 + 0.0328413i
\(481\) 6.22177 2.18119i 0.283688 0.0994538i
\(482\) −4.41609 −0.201147
\(483\) −3.73111 + 36.6263i −0.169771 + 1.66655i
\(484\) 4.40623 7.63181i 0.200283 0.346901i
\(485\) 8.74519i 0.397098i
\(486\) −7.23396 + 13.8083i −0.328139 + 0.626358i
\(487\) −10.3865 + 17.9899i −0.470657 + 0.815202i −0.999437 0.0335574i \(-0.989316\pi\)
0.528780 + 0.848759i \(0.322650\pi\)
\(488\) −3.69483 −0.167257
\(489\) −13.0451 + 1.47942i −0.589921 + 0.0669016i
\(490\) 4.87019 0.462636i 0.220013 0.0208997i
\(491\) 11.1439 + 6.43392i 0.502916 + 0.290359i 0.729917 0.683536i \(-0.239559\pi\)
−0.227001 + 0.973895i \(0.572892\pi\)
\(492\) −3.37290 4.56318i −0.152062 0.205724i
\(493\) −6.41556 + 3.70403i −0.288942 + 0.166821i
\(494\) −26.1467 + 9.16635i −1.17639 + 0.412413i
\(495\) 2.96453 + 0.909727i 0.133246 + 0.0408892i
\(496\) −5.83175 3.36696i −0.261853 0.151181i
\(497\) 7.58195 34.8125i 0.340097 1.56156i
\(498\) −0.919219 + 0.679445i −0.0411912 + 0.0304467i
\(499\) 20.6074 35.6931i 0.922516 1.59784i 0.127007 0.991902i \(-0.459463\pi\)
0.795509 0.605942i \(-0.207204\pi\)
\(500\) −3.32369 + 5.75681i −0.148640 + 0.257452i
\(501\) 1.23877 2.84492i 0.0553442 0.127102i
\(502\) −13.2131 7.62856i −0.589728 0.340479i
\(503\) −10.4430 18.0877i −0.465629 0.806492i 0.533601 0.845736i \(-0.320838\pi\)
−0.999230 + 0.0392439i \(0.987505\pi\)
\(504\) 6.91868 + 3.88997i 0.308183 + 0.173273i
\(505\) 0.389717 0.675010i 0.0173422 0.0300376i
\(506\) 10.2904 + 5.94119i 0.457466 + 0.264118i
\(507\) 21.7605 + 5.78642i 0.966416 + 0.256984i
\(508\) −6.67458 11.5607i −0.296137 0.512924i
\(509\) −10.1690 17.6131i −0.450731 0.780689i 0.547701 0.836674i \(-0.315503\pi\)
−0.998432 + 0.0559855i \(0.982170\pi\)
\(510\) 1.75173 + 0.762760i 0.0775680 + 0.0337756i
\(511\) 8.27742 38.0058i 0.366171 1.68128i
\(512\) 1.00000i 0.0441942i
\(513\) −13.2700 37.6603i −0.585885 1.66274i
\(514\) −12.7345 7.35225i −0.561694 0.324294i
\(515\) 9.20013 5.31170i 0.405406 0.234061i
\(516\) 4.66429 0.528966i 0.205334 0.0232864i
\(517\) 9.32856 + 5.38585i 0.410270 + 0.236869i
\(518\) 4.60860 1.47196i 0.202490 0.0646744i
\(519\) 27.7833 3.15084i 1.21955 0.138307i
\(520\) −1.64253 + 1.91092i −0.0720296 + 0.0837993i
\(521\) −21.7920 37.7449i −0.954725 1.65363i −0.734997 0.678071i \(-0.762816\pi\)
−0.219728 0.975561i \(-0.570517\pi\)
\(522\) 13.7228 3.15311i 0.600633 0.138008i
\(523\) 10.3687 5.98635i 0.453390 0.261765i −0.255871 0.966711i \(-0.582362\pi\)
0.709261 + 0.704946i \(0.249029\pi\)
\(524\) 9.16140 + 15.8680i 0.400217 + 0.693197i
\(525\) 20.5682 + 2.09528i 0.897669 + 0.0914454i
\(526\) 6.67295 + 11.5579i 0.290955 + 0.503948i
\(527\) 10.6286i 0.462991i
\(528\) 2.06008 1.52272i 0.0896536 0.0662679i
\(529\) 20.7715 35.9774i 0.903111 1.56423i
\(530\) 2.81467 + 4.87515i 0.122261 + 0.211763i
\(531\) 12.1389 39.5572i 0.526785 1.71663i
\(532\) −19.3674 + 6.18585i −0.839684 + 0.268191i
\(533\) −8.95787 7.69973i −0.388008 0.333512i
\(534\) −9.59471 4.17785i −0.415204 0.180793i
\(535\) 7.46451i 0.322719i
\(536\) 3.95565i 0.170858i
\(537\) 0.191322 + 1.68703i 0.00825616 + 0.0728007i
\(538\) 18.8456i 0.812491i
\(539\) −10.3068 + 0.979081i −0.443947 + 0.0421720i
\(540\) −2.75769 2.36275i −0.118672 0.101677i
\(541\) 3.75077 6.49652i 0.161258 0.279307i −0.774062 0.633110i \(-0.781778\pi\)
0.935320 + 0.353802i \(0.115111\pi\)
\(542\) −4.80370 + 8.32026i −0.206337 + 0.357386i
\(543\) −1.48996 13.1381i −0.0639405 0.563811i
\(544\) 1.36691 0.789186i 0.0586058 0.0338361i
\(545\) 6.41263 0.274687
\(546\) 15.8425 + 4.69196i 0.677997 + 0.200797i
\(547\) 0.731374 0.0312713 0.0156357 0.999878i \(-0.495023\pi\)
0.0156357 + 0.999878i \(0.495023\pi\)
\(548\) 17.2602 9.96519i 0.737320 0.425692i
\(549\) −2.48221 10.8030i −0.105938 0.461060i
\(550\) 3.33639 5.77879i 0.142264 0.246409i
\(551\) −18.0335 + 31.2350i −0.768254 + 1.33066i
\(552\) −8.27117 11.1900i −0.352044 0.476280i
\(553\) −4.25382 13.3184i −0.180891 0.566355i
\(554\) 5.85244i 0.248646i
\(555\) −2.19937 + 0.249425i −0.0933579 + 0.0105875i
\(556\) 12.5583i 0.532591i
\(557\) 7.05913i 0.299105i −0.988754 0.149552i \(-0.952217\pi\)
0.988754 0.149552i \(-0.0477833\pi\)
\(558\) 5.92656 19.3129i 0.250891 0.817580i
\(559\) 9.22148 3.23281i 0.390027 0.136733i
\(560\) −1.24411 + 1.36790i −0.0525734 + 0.0578042i
\(561\) −3.70721 1.61424i −0.156519 0.0681532i
\(562\) 2.80997 + 4.86700i 0.118531 + 0.205302i
\(563\) 14.3073 24.7810i 0.602981 1.04439i −0.389386 0.921075i \(-0.627313\pi\)
0.992367 0.123319i \(-0.0393540\pi\)
\(564\) −7.49804 10.1441i −0.315725 0.427143i
\(565\) 7.07531i 0.297661i
\(566\) −7.85422 13.6039i −0.330138 0.571815i
\(567\) −6.72553 + 22.8422i −0.282446 + 0.959283i
\(568\) 6.73317 + 11.6622i 0.282518 + 0.489335i
\(569\) −9.19011 + 5.30591i −0.385269 + 0.222435i −0.680108 0.733112i \(-0.738067\pi\)
0.294839 + 0.955547i \(0.404734\pi\)
\(570\) 9.24272 1.04820i 0.387135 0.0439041i
\(571\) −5.54867 9.61058i −0.232205 0.402190i 0.726252 0.687429i \(-0.241261\pi\)
−0.958457 + 0.285238i \(0.907927\pi\)
\(572\) 3.47610 4.04410i 0.145343 0.169092i
\(573\) −4.34256 38.2916i −0.181413 1.59965i
\(574\) −6.41234 5.83207i −0.267646 0.243426i
\(575\) −31.3895 18.1227i −1.30903 0.755769i
\(576\) −2.92381 + 0.671806i −0.121826 + 0.0279919i
\(577\) −6.35102 + 3.66676i −0.264396 + 0.152649i −0.626338 0.779551i \(-0.715447\pi\)
0.361942 + 0.932201i \(0.382114\pi\)
\(578\) 12.5649 + 7.25437i 0.522633 + 0.301742i
\(579\) 13.7044 1.55419i 0.569536 0.0645898i
\(580\) 3.28015i 0.136201i
\(581\) −1.17483 + 1.29172i −0.0487401 + 0.0535895i
\(582\) −8.65269 + 19.8715i −0.358666 + 0.823700i
\(583\) −5.95672 10.3173i −0.246702 0.427301i
\(584\) 7.35079 + 12.7319i 0.304178 + 0.526852i
\(585\) −6.69063 3.51868i −0.276623 0.145479i
\(586\) 3.34776 + 1.93283i 0.138295 + 0.0798444i
\(587\) 14.0104 24.2667i 0.578271 1.00159i −0.417407 0.908720i \(-0.637061\pi\)
0.995678 0.0928746i \(-0.0296056\pi\)
\(588\) 11.5242 + 3.76744i 0.475249 + 0.155367i
\(589\) 25.8735 + 44.8141i 1.06610 + 1.84653i
\(590\) 8.34786 + 4.81964i 0.343676 + 0.198421i
\(591\) −14.2237 6.19347i −0.585086 0.254765i
\(592\) −0.914289 + 1.58359i −0.0375770 + 0.0650853i
\(593\) −20.0207 + 34.6769i −0.822152 + 1.42401i 0.0819254 + 0.996638i \(0.473893\pi\)
−0.904077 + 0.427370i \(0.859440\pi\)
\(594\) 5.83613 + 5.00033i 0.239459 + 0.205166i
\(595\) 2.85163 + 0.621067i 0.116905 + 0.0254613i
\(596\) 5.84670 + 3.37559i 0.239490 + 0.138270i
\(597\) −34.6371 15.0821i −1.41760 0.617271i
\(598\) −21.9669 18.8816i −0.898293 0.772127i
\(599\) 36.5373 21.0948i 1.49287 0.861911i 0.492908 0.870082i \(-0.335934\pi\)
0.999967 + 0.00817029i \(0.00260071\pi\)
\(600\) −6.28398 + 4.64484i −0.256543 + 0.189625i
\(601\) 12.5623 + 7.25284i 0.512426 + 0.295850i 0.733831 0.679333i \(-0.237731\pi\)
−0.221404 + 0.975182i \(0.571064\pi\)
\(602\) 6.83055 2.18164i 0.278392 0.0889171i
\(603\) −11.5656 + 2.65743i −0.470987 + 0.108219i
\(604\) 7.62285 0.310169
\(605\) −3.07940 + 5.33367i −0.125195 + 0.216845i
\(606\) 1.55342 1.14822i 0.0631033 0.0466431i
\(607\) 0.360914i 0.0146490i −0.999973 0.00732452i \(-0.997669\pi\)
0.999973 0.00732452i \(-0.00233149\pi\)
\(608\) 3.84225 6.65498i 0.155824 0.269895i
\(609\) 19.6206 8.81101i 0.795068 0.357040i
\(610\) 2.58222 0.104551
\(611\) −19.9136 17.1167i −0.805618 0.692468i
\(612\) 3.22573 + 3.46641i 0.130392 + 0.140121i
\(613\) 11.8236 0.477552 0.238776 0.971075i \(-0.423254\pi\)
0.238776 + 0.971075i \(0.423254\pi\)
\(614\) 11.7331 + 20.3224i 0.473511 + 0.820144i
\(615\) 2.35723 + 3.18908i 0.0950526 + 0.128596i
\(616\) 2.63294 2.89490i 0.106084 0.116639i
\(617\) 9.75168 5.63013i 0.392588 0.226661i −0.290693 0.956816i \(-0.593886\pi\)
0.683281 + 0.730156i \(0.260553\pi\)
\(618\) 26.1608 2.96683i 1.05234 0.119344i
\(619\) 13.8755 8.01105i 0.557705 0.321991i −0.194519 0.980899i \(-0.562315\pi\)
0.752224 + 0.658908i \(0.228981\pi\)
\(620\) 4.07566 + 2.35308i 0.163682 + 0.0945020i
\(621\) 27.1610 31.7009i 1.08993 1.27211i
\(622\) −14.6547 8.46088i −0.587599 0.339250i
\(623\) −15.6192 3.40175i −0.625768 0.136288i
\(624\) −5.62299 + 2.71698i −0.225100 + 0.108766i
\(625\) −8.95610 + 15.5124i −0.358244 + 0.620497i
\(626\) 17.1572 0.685738
\(627\) −19.5605 + 2.21831i −0.781171 + 0.0885908i
\(628\) 5.96598i 0.238069i
\(629\) 2.88617 0.115079
\(630\) −4.83528 2.71860i −0.192642 0.108311i
\(631\) 12.2109 + 21.1499i 0.486107 + 0.841963i 0.999872 0.0159683i \(-0.00508308\pi\)
−0.513765 + 0.857931i \(0.671750\pi\)
\(632\) 4.57643 + 2.64220i 0.182040 + 0.105101i
\(633\) −8.51572 + 19.5569i −0.338469 + 0.777318i
\(634\) 24.6955 0.980784
\(635\) 4.66469 + 8.07947i 0.185112 + 0.320624i
\(636\) 1.57213 + 13.8626i 0.0623388 + 0.549688i
\(637\) 25.1328 + 2.31125i 0.995798 + 0.0915751i
\(638\) 6.94181i 0.274829i
\(639\) −29.5747 + 27.5213i −1.16996 + 1.08872i
\(640\) 0.698873i 0.0276254i
\(641\) −14.5095 8.37708i −0.573092 0.330875i 0.185291 0.982684i \(-0.440677\pi\)
−0.758383 + 0.651809i \(0.774010\pi\)
\(642\) −7.38556 + 16.9614i −0.291485 + 0.669415i
\(643\) −10.0110 + 5.77985i −0.394795 + 0.227935i −0.684236 0.729261i \(-0.739864\pi\)
0.289441 + 0.957196i \(0.406531\pi\)
\(644\) −15.7246 14.3017i −0.619637 0.563565i
\(645\) −3.25975 + 0.369680i −0.128352 + 0.0145562i
\(646\) −12.1290 −0.477209
\(647\) 29.9969 1.17930 0.589649 0.807659i \(-0.299266\pi\)
0.589649 + 0.807659i \(0.299266\pi\)
\(648\) −3.92847 8.09735i −0.154325 0.318094i
\(649\) −17.6667 10.1999i −0.693478 0.400380i
\(650\) −10.6033 + 12.3359i −0.415897 + 0.483855i
\(651\) 3.12739 30.6999i 0.122572 1.20322i
\(652\) 3.78994 6.56437i 0.148426 0.257081i
\(653\) 22.1413 12.7833i 0.866457 0.500249i 0.000287486 1.00000i \(-0.499908\pi\)
0.866169 + 0.499751i \(0.166575\pi\)
\(654\) 14.5713 + 6.34481i 0.569782 + 0.248102i
\(655\) −6.40266 11.0897i −0.250172 0.433311i
\(656\) 3.27613 0.127911
\(657\) −32.2875 + 30.0457i −1.25966 + 1.17220i
\(658\) −14.2548 12.9649i −0.555710 0.505423i
\(659\) 6.23900 3.60209i 0.243037 0.140317i −0.373535 0.927616i \(-0.621854\pi\)
0.616572 + 0.787299i \(0.288521\pi\)
\(660\) −1.43974 + 1.06419i −0.0560417 + 0.0414235i
\(661\) 18.0796i 0.703215i 0.936148 + 0.351607i \(0.114365\pi\)
−0.936148 + 0.351607i \(0.885635\pi\)
\(662\) 27.7416 16.0166i 1.07821 0.622504i
\(663\) 8.15145 + 5.54191i 0.316576 + 0.215230i
\(664\) 0.659952i 0.0256111i
\(665\) 13.5354 4.32313i 0.524879 0.167644i
\(666\) −5.24436 1.60934i −0.203215 0.0623607i
\(667\) −37.7068 −1.46001
\(668\) 0.895737 + 1.55146i 0.0346571 + 0.0600279i
\(669\) −18.4315 8.02569i −0.712604 0.310291i
\(670\) 2.76450i 0.106802i
\(671\) −5.46478 −0.210965
\(672\) −4.18040 + 1.87729i −0.161263 + 0.0724180i
\(673\) −16.0613 + 27.8191i −0.619119 + 1.07235i 0.370528 + 0.928821i \(0.379177\pi\)
−0.989647 + 0.143524i \(0.954157\pi\)
\(674\) −19.5236 + 11.2720i −0.752023 + 0.434181i
\(675\) −17.8022 15.2528i −0.685209 0.587079i
\(676\) −10.1543 + 8.11729i −0.390550 + 0.312203i
\(677\) −9.18179 + 15.9033i −0.352885 + 0.611214i −0.986754 0.162226i \(-0.948133\pi\)
0.633869 + 0.773441i \(0.281466\pi\)
\(678\) −7.00048 + 16.0771i −0.268852 + 0.617436i
\(679\) −7.04533 + 32.3487i −0.270375 + 1.24143i
\(680\) −0.955297 + 0.551541i −0.0366339 + 0.0211506i
\(681\) 0.822317 1.88851i 0.0315113 0.0723678i
\(682\) −8.62536 4.97985i −0.330282 0.190689i
\(683\) 18.4956 + 10.6785i 0.707715 + 0.408600i 0.810214 0.586134i \(-0.199351\pi\)
−0.102499 + 0.994733i \(0.532684\pi\)
\(684\) 22.0391 + 6.76317i 0.842688 + 0.258596i
\(685\) −12.0627 + 6.96440i −0.460892 + 0.266096i
\(686\) 18.3877 + 2.21224i 0.702044 + 0.0844637i
\(687\) −10.5882 4.61045i −0.403966 0.175900i
\(688\) −1.35510 + 2.34709i −0.0516625 + 0.0894821i
\(689\) 9.60814 + 27.4069i 0.366041 + 1.04412i
\(690\) 5.78050 + 7.82042i 0.220060 + 0.297718i
\(691\) −3.04686 + 1.75911i −0.115908 + 0.0669196i −0.556833 0.830624i \(-0.687984\pi\)
0.440925 + 0.897544i \(0.354650\pi\)
\(692\) −8.07176 + 13.9807i −0.306842 + 0.531467i
\(693\) 10.2330 + 5.75340i 0.388718 + 0.218554i
\(694\) −15.8455 −0.601487
\(695\) 8.77668i 0.332918i
\(696\) −3.24545 + 7.45340i −0.123019 + 0.282521i
\(697\) −2.58547 4.47817i −0.0979318 0.169623i
\(698\) −22.3012 −0.844113
\(699\) −11.4508 4.98606i −0.433110 0.188590i
\(700\) −8.03138 + 8.83047i −0.303558 + 0.333760i
\(701\) 21.8719i 0.826089i 0.910711 + 0.413044i \(0.135535\pi\)
−0.910711 + 0.413044i \(0.864465\pi\)
\(702\) −11.7215 14.6153i −0.442400 0.551618i
\(703\) 12.1691 7.02586i 0.458968 0.264985i
\(704\) 1.47903i 0.0557432i
\(705\) 5.24018 + 7.08943i 0.197357 + 0.267003i
\(706\) 7.88910 4.55477i 0.296910 0.171421i
\(707\) 1.98538 2.18291i 0.0746678 0.0820969i
\(708\) 14.2000 + 19.2111i 0.533669 + 0.721999i
\(709\) −11.3165 −0.425002 −0.212501 0.977161i \(-0.568161\pi\)
−0.212501 + 0.977161i \(0.568161\pi\)
\(710\) −4.70564 8.15040i −0.176599 0.305879i
\(711\) −4.65083 + 15.1557i −0.174420 + 0.568382i
\(712\) 5.23242 3.02094i 0.196093 0.113214i
\(713\) −27.0498 + 46.8516i −1.01302 + 1.75460i
\(714\) 5.86520 + 4.23271i 0.219500 + 0.158405i
\(715\) −2.42935 + 2.82631i −0.0908527 + 0.105698i
\(716\) −0.848922 0.490125i −0.0317257 0.0183168i
\(717\) −1.28724 11.3506i −0.0480729 0.423894i
\(718\) −3.06670 −0.114448
\(719\) 13.9466 0.520119 0.260060 0.965593i \(-0.416258\pi\)
0.260060 + 0.965593i \(0.416258\pi\)
\(720\) 2.04337 0.469507i 0.0761521 0.0174975i
\(721\) 38.3107 12.2363i 1.42677 0.455702i
\(722\) −34.6857 + 20.0258i −1.29087 + 0.745283i
\(723\) 7.01290 + 3.05364i 0.260813 + 0.113566i
\(724\) 6.61117 + 3.81696i 0.245702 + 0.141856i
\(725\) 21.1750i 0.786419i
\(726\) −12.2745 + 9.07276i −0.455549 + 0.336722i
\(727\) 5.92782i 0.219850i −0.993940 0.109925i \(-0.964939\pi\)
0.993940 0.109925i \(-0.0350611\pi\)
\(728\) −7.61523 + 5.74528i −0.282239 + 0.212934i
\(729\) 21.0360 16.9260i 0.779110 0.626887i
\(730\) −5.13727 8.89801i −0.190139 0.329330i
\(731\) 4.27769 0.158216
\(732\) 5.86751 + 2.55490i 0.216870 + 0.0944320i
\(733\) −24.5262 14.1602i −0.905896 0.523019i −0.0267874 0.999641i \(-0.508528\pi\)
−0.879108 + 0.476622i \(0.841861\pi\)
\(734\) −1.32070 2.28752i −0.0487479 0.0844338i
\(735\) −8.05393 2.63296i −0.297074 0.0971183i
\(736\) 8.03387 0.296132
\(737\) 5.85055i 0.215508i
\(738\) 2.20092 + 9.57878i 0.0810171 + 0.352600i
\(739\) 47.0720 1.73157 0.865785 0.500416i \(-0.166820\pi\)
0.865785 + 0.500416i \(0.166820\pi\)
\(740\) 0.638972 1.10673i 0.0234891 0.0406843i
\(741\) 47.8602 + 3.52347i 1.75819 + 0.129438i
\(742\) 6.48400 + 20.3009i 0.238035 + 0.745269i
\(743\) −17.7056 10.2223i −0.649554 0.375020i 0.138732 0.990330i \(-0.455697\pi\)
−0.788285 + 0.615310i \(0.789031\pi\)
\(744\) 6.93283 + 9.37940i 0.254170 + 0.343866i
\(745\) −4.08610 2.35911i −0.149703 0.0864311i
\(746\) −4.66207 + 2.69165i −0.170691 + 0.0985483i
\(747\) 1.92958 0.443360i 0.0705995 0.0162217i
\(748\) 2.02171 1.16723i 0.0739209 0.0426782i
\(749\) −6.01359 + 27.6114i −0.219732 + 1.00890i
\(750\) 9.25886 6.84373i 0.338086 0.249898i
\(751\) −21.7069 37.5975i −0.792097 1.37195i −0.924666 0.380779i \(-0.875656\pi\)
0.132569 0.991174i \(-0.457677\pi\)
\(752\) 7.28293 0.265581
\(753\) 15.7078 + 21.2510i 0.572423 + 0.774430i
\(754\) −3.13634 + 16.6294i −0.114219 + 0.605607i
\(755\) −5.32741 −0.193884
\(756\) −8.29726 10.9615i −0.301768 0.398668i
\(757\) −6.03356 + 10.4504i −0.219293 + 0.379827i −0.954592 0.297916i \(-0.903709\pi\)
0.735299 + 0.677743i \(0.237042\pi\)
\(758\) 13.7784i 0.500454i
\(759\) −12.2333 16.5505i −0.444042 0.600743i
\(760\) −2.68525 + 4.65098i −0.0974042 + 0.168709i
\(761\) −0.990826 −0.0359174 −0.0179587 0.999839i \(-0.505717\pi\)
−0.0179587 + 0.999839i \(0.505717\pi\)
\(762\) 2.60545 + 22.9742i 0.0943854 + 0.832266i
\(763\) 23.7205 + 5.16617i 0.858739 + 0.187028i
\(764\) 19.2685 + 11.1247i 0.697110 + 0.402477i
\(765\) −2.25438 2.42258i −0.0815071 0.0875885i
\(766\) 24.8621 14.3541i 0.898304 0.518636i
\(767\) 37.7129 + 32.4161i 1.36173 + 1.17048i
\(768\) 0.691481 1.58803i 0.0249517 0.0573033i
\(769\) −41.7420 24.0998i −1.50526 0.869060i −0.999981 0.00610115i \(-0.998058\pi\)
−0.505274 0.862959i \(-0.668609\pi\)
\(770\) −1.84009 + 2.02317i −0.0663122 + 0.0729099i
\(771\) 15.1388 + 20.4813i 0.545212 + 0.737615i
\(772\) −3.98148 + 6.89613i −0.143297 + 0.248197i
\(773\) 5.46527 9.46613i 0.196572 0.340473i −0.750843 0.660481i \(-0.770352\pi\)
0.947415 + 0.320008i \(0.103686\pi\)
\(774\) −7.77282 2.38525i −0.279388 0.0857361i
\(775\) 26.3104 + 15.1903i 0.945097 + 0.545652i
\(776\)