Properties

Label 546.2.u.a.185.20
Level $546$
Weight $2$
Character 546.185
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 185.20
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.20

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 0.777249 0.629193i \(-0.216615\pi\)
−0.933522 + 0.358521i \(0.883281\pi\)
\(6\) −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 \(0.0715761\pi\)
−0.974825 + 0.222973i \(0.928424\pi\)
\(12\) −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 0.754311 0.656518i \(-0.227971\pi\)
−0.945716 + 0.324993i \(0.894638\pi\)
\(18\) 2.19619 + 2.04371i 0.517648 + 0.481706i
\(19\) 7.68450i 1.76295i −0.472234 0.881473i \(-0.656552\pi\)
0.472234 0.881473i \(-0.343448\pi\)
\(20\) 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 −0.452223 0.891905i \(-0.649369\pi\)
−0.998524 + 0.0543159i \(0.982702\pi\)
\(24\) 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 −0.0726317 0.997359i \(-0.523140\pi\)
0.827422 + 0.561580i \(0.189806\pi\)
\(30\) −0.136404 + 1.20277i −0.0249038 + 0.219595i
\(31\) 5.83175 + 3.36696i 1.04741 + 0.604725i 0.921924 0.387370i \(-0.126616\pi\)
0.125490 + 0.992095i \(0.459950\pi\)
\(32\) −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 −0.931341 0.364149i \(-0.881360\pi\)
0.781033 + 0.624490i \(0.214693\pi\)
\(38\) 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 0.709296 0.704911i \(-0.249013\pi\)
−0.965119 + 0.261813i \(0.915680\pi\)
\(42\) 0.464422 + 4.55898i 0.0716619 + 0.703466i
\(43\) −1.35510 + 2.34709i −0.206650 + 0.357929i −0.950657 0.310243i \(-0.899590\pi\)
0.744007 + 0.668172i \(0.232923\pi\)
\(44\) −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 −0.999339 0.0363646i \(-0.988422\pi\)
0.468177 0.883635i \(-0.344911\pi\)
\(48\) 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 0.895616 0.444829i \(-0.146735\pi\)
0.0625748 + 0.998040i \(0.480069\pi\)
\(54\) −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 0.830273 + 0.557357i \(0.188185\pi\)
0.0675492 + 0.997716i \(0.478482\pi\)
\(60\) −0.719516 + 0.973431i −0.0928891 + 0.125669i
\(61\) 3.69483i 0.473074i 0.971622 + 0.236537i \(0.0760125\pi\)
−0.971622 + 0.236537i \(0.923988\pi\)
\(62\) 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 −0.391412 0.920215i \(-0.628013\pi\)
−0.992636 + 0.121135i \(0.961347\pi\)
\(72\) −0.671806 + 2.92381i −0.0791731 + 0.344575i
\(73\) −12.7319 7.35079i −1.49016 0.860345i −0.490225 0.871596i \(-0.663085\pi\)
−0.999937 + 0.0112512i \(0.996419\pi\)
\(74\) −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 0.678240 0.734841i \(-0.262743\pi\)
−0.975511 + 0.219952i \(0.929410\pi\)
\(80\) 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 −0.660314 0.750989i \(-0.729577\pi\)
0.980533 + 0.196354i \(0.0629102\pi\)
\(90\) 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 0.936303 0.351194i \(-0.114224\pi\)
0.164008 + 0.986459i \(0.447558\pi\)
\(98\) −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 −0.979904 0.199470i \(-0.936078\pi\)
−0.317206 + 0.948357i \(0.602745\pi\)
\(104\) 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 0.875319 0.483547i \(-0.160652\pi\)
0.0188956 + 0.999821i \(0.493985\pi\)
\(108\) −0.954911 5.10766i −0.0918863 0.491484i
\(109\) −4.58784 + 7.94637i −0.439435 + 0.761124i −0.997646 0.0685753i \(-0.978155\pi\)
0.558211 + 0.829699i \(0.311488\pi\)
\(110\) 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 0.852062 0.523440i \(-0.175352\pi\)
−0.0272816 + 0.999628i \(0.508685\pi\)
\(114\) −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 0.993925 + 0.110055i \(0.0351027\pi\)
−0.401652 + 0.915792i \(0.631564\pi\)
\(128\) −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 −0.919330 0.393487i \(-0.871269\pi\)
0.118895 0.992907i \(-0.462065\pi\)
\(132\) 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 0.475048 0.879960i \(-0.342431\pi\)
0.999592 + 0.0285764i \(0.00909740\pi\)
\(138\) 5.55527 + 12.7581i 0.472896 + 1.08604i
\(139\) 10.8758 + 6.27916i 0.922475 + 0.532591i 0.884424 0.466684i \(-0.154552\pi\)
0.0380515 + 0.999276i \(0.487885\pi\)
\(140\) −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 \(-0.910812\pi\)
0.961003 0.276539i \(-0.0891876\pi\)
\(150\) −7.16454 + 3.11967i −0.584982 + 0.254720i
\(151\) 3.81143 6.60158i 0.310169 0.537229i −0.668229 0.743955i \(-0.732948\pi\)
0.978399 + 0.206726i \(0.0662809\pi\)
\(152\) 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 0.691798 0.722091i \(-0.256819\pi\)
−0.279451 + 0.960160i \(0.590152\pi\)
\(158\) 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 0.829285 0.558825i \(-0.188748\pi\)
−0.898600 + 0.438770i \(0.855414\pi\)
\(168\) −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 \(0.0116635\pi\)
−0.999329 + 0.0366337i \(0.988337\pi\)
\(180\) 1.42829 1.53486i 0.106459 0.114402i
\(181\) 7.63392i 0.567425i −0.958909 0.283712i \(-0.908434\pi\)
0.958909 0.283712i \(-0.0915661\pi\)
\(182\) −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 \(-0.702190\pi\)
0.593338 0.804953i \(-0.297810\pi\)
\(192\) 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 −0.197540 0.980295i \(-0.563295\pi\)
0.750190 + 0.661222i \(0.229962\pi\)
\(198\) −3.02271 + 3.24824i −0.214815 + 0.230843i
\(199\) 18.8892 10.9057i 1.33902 0.773082i 0.352356 0.935866i \(-0.385381\pi\)
0.986662 + 0.162784i \(0.0520473\pi\)
\(200\) 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 0.996318 0.0857397i \(-0.0273253\pi\)
−0.572412 + 0.819966i \(0.693992\pi\)
\(212\) 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 −0.124150 0.992263i \(-0.539620\pi\)
0.797250 + 0.603649i \(0.206287\pi\)
\(224\) 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 0.845618 0.533788i \(-0.179232\pi\)
−0.885083 + 0.465432i \(0.845899\pi\)
\(228\) −12.2033 + 5.31369i −0.808181 + 0.351908i
\(229\) 5.77423 3.33375i 0.381572 0.220301i −0.296930 0.954899i \(-0.595963\pi\)
0.678502 + 0.734599i \(0.262630\pi\)
\(230\) −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 −0.281303 0.959619i \(-0.590767\pi\)
0.690403 + 0.723425i \(0.257433\pi\)
\(234\) 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 \(-0.931577\pi\)
0.976985 0.213306i \(-0.0684231\pi\)
\(240\) −1.20277 0.136404i −0.0776387 0.00880483i
\(241\) −3.82445 + 2.20804i −0.246354 + 0.142233i −0.618094 0.786104i \(-0.712095\pi\)
0.371740 + 0.928337i \(0.378761\pi\)
\(242\) 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 −0.999775 0.0212197i \(-0.993245\pi\)
0.518264 + 0.855221i \(0.326578\pi\)
\(252\) 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 −0.998888 0.0471387i \(-0.984990\pi\)
0.540267 + 0.841493i \(0.318323\pi\)
\(258\) 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 \(-0.865015\pi\)
0.911422 0.411472i \(-0.134985\pi\)
\(264\) 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 0.996094 + 0.0883015i \(0.0281439\pi\)
−0.421576 + 0.906793i \(0.638523\pi\)
\(270\) −1.20685 + 3.42505i −0.0734465 + 0.208442i
\(271\) −8.32026 4.80370i −0.505420 0.291804i 0.225529 0.974236i \(-0.427589\pi\)
−0.730949 + 0.682432i \(0.760922\pi\)
\(272\) 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 0.764625 0.644475i \(-0.222924\pi\)
−0.940445 + 0.339947i \(0.889591\pi\)
\(278\) 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 \(-0.946389\pi\)
0.985850 0.167628i \(-0.0536109\pi\)
\(282\) −1.42146 + 12.5341i −0.0846466 + 0.746392i
\(283\) 15.7084i 0.933770i 0.884318 + 0.466885i \(0.154624\pi\)
−0.884318 + 0.466885i \(0.845376\pi\)
\(284\) 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 −0.804028 0.594591i \(-0.797314\pi\)
0.916945 + 0.399013i \(0.130647\pi\)
\(294\) 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 \(-0.766446\pi\)
0.742681 0.669645i \(-0.233554\pi\)
\(308\) 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 −0.999731 0.0232012i \(-0.992614\pi\)
0.519958 + 0.854192i \(0.325948\pi\)
\(312\) −6.22814 + 0.458516i −0.352599 + 0.0259584i
\(313\) 14.8585 8.57858i 0.839854 0.484890i −0.0173608 0.999849i \(-0.505526\pi\)
0.857214 + 0.514960i \(0.172193\pi\)
\(314\) 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 0.240386 0.970677i \(-0.422726\pi\)
0.960824 + 0.277158i \(0.0893927\pi\)
\(318\) −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 −0.820857 0.571134i \(-0.806504\pi\)
0.0841884 + 0.996450i \(0.473170\pi\)
\(348\) −6.53735 4.83211i −0.350439 0.259028i
\(349\) −19.3134 + 11.1506i −1.03382 + 0.596878i −0.918078 0.396401i \(-0.870259\pi\)
−0.115746 + 0.993279i \(0.536926\pi\)
\(350\) −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 −0.568445 0.822721i \(-0.692455\pi\)
0.428275 + 0.903648i \(0.359121\pi\)
\(360\) 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 \(0.0219617\pi\)
−0.997621 + 0.0689399i \(0.978038\pi\)
\(368\) 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 0.986925 0.161182i \(-0.0515307\pi\)
−0.633050 + 0.774111i \(0.718197\pi\)
\(380\) −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 0.908205 0.418525i \(-0.137453\pi\)
0.0916497 + 0.995791i \(0.470786\pi\)
\(390\) 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 \(0.0865418\pi\)
−0.963268 + 0.268542i \(0.913458\pi\)
\(398\) 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 0.207263 0.978285i \(-0.433544\pi\)
−0.743588 + 0.668638i \(0.766878\pi\)
\(402\) 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 −0.225241 0.974303i \(-0.572317\pi\)
0.731151 + 0.682216i \(0.238984\pi\)
\(410\) −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 0.990997 0.133884i \(-0.0427450\pi\)
−0.611446 + 0.791286i \(0.709412\pi\)
\(420\) 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 \(-0.817853\pi\)
0.840694 0.541510i \(-0.182147\pi\)
\(432\) 3.94590 3.38080i 0.189847 0.162659i
\(433\) 18.0042 + 10.3947i 0.865226 + 0.499538i 0.865759 0.500461i \(-0.166836\pi\)
−0.000532949 1.00000i \(0.500170\pi\)
\(434\) 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 0.701505 0.712664i \(-0.252512\pi\)
−0.266433 + 0.963853i \(0.585845\pi\)
\(440\) 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 0.156822 0.987627i \(-0.449875\pi\)
0.933721 + 0.358002i \(0.116542\pi\)
\(444\) 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 0.0266674 0.999644i \(-0.491510\pi\)
−0.852384 + 0.522917i \(0.824844\pi\)
\(450\) 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 −0.663406 0.748260i \(-0.730890\pi\)
0.979715 + 0.200396i \(0.0642229\pi\)
\(458\) 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 −0.253718 0.967278i \(-0.581654\pi\)
0.964547 0.263913i \(-0.0850131\pi\)
\(462\) −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 0.847292 0.531127i \(-0.178231\pi\)
−0.883616 + 0.468213i \(0.844898\pi\)
\(468\) 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 0.528780 0.848759i \(-0.322650\pi\)
−0.999437 + 0.0335574i \(0.989316\pi\)
\(488\) −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 −0.227001 0.973895i \(-0.572892\pi\)
0.729917 + 0.683536i \(0.239559\pi\)
\(492\) −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 0.795509 + 0.605942i \(0.207204\pi\)
0.127007 + 0.991902i \(0.459463\pi\)
\(500\) −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 −0.999230 0.0392439i \(-0.987505\pi\)
0.533601 + 0.845736i \(0.320838\pi\)
\(504\) 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 −0.998432 0.0559855i \(-0.982170\pi\)
0.547701 + 0.836674i \(0.315503\pi\)
\(510\) 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 −0.219728 + 0.975561i \(0.570517\pi\)
−0.734997 + 0.678071i \(0.762816\pi\)
\(522\) 13.7228 + 3.15311i 0.600633 + 0.138008i
\(523\) 10.3687 + 5.98635i 0.453390 + 0.261765i 0.709261 0.704946i \(-0.249029\pi\)
−0.255871 + 0.966711i \(0.582362\pi\)
\(524\) 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 0.935320 0.353802i \(-0.115111\pi\)
−0.774062 + 0.633110i \(0.781778\pi\)
\(542\) −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 \(0.0477833\pi\)
−0.988754 + 0.149552i \(0.952217\pi\)
\(558\) 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 0.992367 + 0.123319i \(0.0393540\pi\)
−0.389386 + 0.921075i \(0.627313\pi\)
\(564\) −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 0.294839 0.955547i \(-0.404734\pi\)
−0.680108 + 0.733112i \(0.738067\pi\)
\(570\) 9.24272 + 1.04820i 0.387135 + 0.0439041i
\(571\) −5.54867 + 9.61058i −0.232205 + 0.402190i −0.958457 0.285238i \(-0.907927\pi\)
0.726252 + 0.687429i \(0.241261\pi\)
\(572\) 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 0.361942 0.932201i \(-0.382114\pi\)
−0.626338 + 0.779551i \(0.715447\pi\)
\(578\) 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 0.995678 + 0.0928746i \(0.0296056\pi\)
−0.417407 + 0.908720i \(0.637061\pi\)
\(588\) 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 −0.904077 0.427370i \(-0.859440\pi\)
0.0819254 0.996638i \(-0.473893\pi\)
\(594\) 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 0.999967 0.00817029i \(-0.00260071\pi\)
0.492908 + 0.870082i \(0.335934\pi\)
\(600\) −6.28398 4.64484i −0.256543 0.189625i
\(601\) 12.5623 7.25284i 0.512426 0.295850i −0.221404 0.975182i \(-0.571064\pi\)
0.733831 + 0.679333i \(0.237731\pi\)
\(602\) 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 \(0.00233149\pi\)
−0.999973 + 0.00732452i \(0.997669\pi\)
\(608\) 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 0.683281 0.730156i \(-0.260553\pi\)
−0.290693 + 0.956816i \(0.593886\pi\)
\(618\) 26.1608 + 2.96683i 1.05234 + 0.119344i
\(619\) 13.8755 + 8.01105i 0.557705 + 0.321991i 0.752224 0.658908i \(-0.228981\pi\)
−0.194519 + 0.980899i \(0.562315\pi\)
\(620\) 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 −0.513765 0.857931i \(-0.671750\pi\)
0.999872 + 0.0159683i \(0.00508308\pi\)
\(632\) 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 −0.758383 0.651809i \(-0.774010\pi\)
0.185291 + 0.982684i \(0.440677\pi\)
\(642\) −7.38556 16.9614i −0.291485 0.669415i
\(643\) −10.0110 5.77985i −0.394795 0.227935i 0.289441 0.957196i \(-0.406531\pi\)
−0.684236 + 0.729261i \(0.739864\pi\)
\(644\) −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 0.866169 0.499751i \(-0.166575\pi\)
0.000287486 1.00000i \(0.499908\pi\)
\(654\) 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 0.616572 0.787299i \(-0.288521\pi\)
−0.373535 + 0.927616i \(0.621854\pi\)
\(660\) −1.43974 1.06419i −0.0560417 0.0414235i
\(661\) 18.0796i 0.703215i −0.936148 0.351607i \(-0.885635\pi\)
0.936148 0.351607i \(-0.114365\pi\)
\(662\) 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 −0.989647 0.143524i \(-0.954157\pi\)
0.370528 0.928821i \(-0.379177\pi\)
\(674\) −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 0.633869 0.773441i \(-0.281466\pi\)
−0.986754 + 0.162226i \(0.948133\pi\)
\(678\) −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 −0.102499 0.994733i \(-0.532684\pi\)
0.810214 + 0.586134i \(0.199351\pi\)
\(684\) 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 0.440925 0.897544i \(-0.354650\pi\)
−0.556833 + 0.830624i \(0.687984\pi\)
\(692\) −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 \(-0.864465\pi\)
0.910711 0.413044i \(-0.135535\pi\)
\(702\) −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 \(0.0350611\pi\)
−0.993940 + 0.109925i \(0.964939\pi\)
\(728\) −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 −0.879108 0.476622i \(-0.841861\pi\)
−0.0267874 + 0.999641i \(0.508528\pi\)
\(734\) −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 −0.788285 0.615310i \(-0.789031\pi\)
0.138732 + 0.990330i \(0.455697\pi\)
\(744\) 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 0.132569 + 0.991174i \(0.457677\pi\)
−0.924666 + 0.380779i \(0.875656\pi\)
\(752\) 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 0.735299 0.677743i \(-0.237042\pi\)
−0.954592 + 0.297916i \(0.903709\pi\)
\(758\) 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 −0.505274 + 0.862959i \(0.668609\pi\)
−0.999981 + 0.00610115i \(0.998058\pi\)
\(770\) −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 0.947415 0.320008i \(-0.103686\pi\)
−0.750843 + 0.660481i \(0.770352\pi\)
\(774\) −7.77282 + 2.38525i −0.279388 + 0.0857361i
\(775\) 26.3104 15.1903i 0.945097 0.545652i