Properties

Label 546.2.u.a.185.19
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 185.19
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.72102 - 0.195177i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.349437 + 0.605242i) q^{5} +(-1.58803 - 0.691481i) q^{6} +(-1.78017 - 1.95729i) q^{7} -1.00000i q^{8} +(2.92381 - 0.671806i) q^{9} +O(q^{10})\) \(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} +(-1.58803 - 0.691481i) 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} +(1.02954 + 1.39286i) q^{12} +(-0.668235 - 3.54309i) q^{13} +(0.563029 + 2.58515i) q^{14} +(0.719516 + 0.973431i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.789186 + 1.36691i) q^{17} +(-2.86800 - 0.880105i) q^{18} -7.68450i q^{19} +(-0.349437 + 0.605242i) q^{20} +(-3.44573 - 3.02109i) 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} +(2.04371 + 2.19619i) q^{36} +(-0.914289 + 1.58359i) q^{37} +(-3.84225 + 6.65498i) q^{38} +(-1.84157 - 5.96729i) q^{39} +(0.605242 - 0.349437i) q^{40} +(1.63806 + 2.83721i) q^{41} +(1.47354 + 4.33920i) q^{42} +(-1.35510 + 2.34709i) q^{43} +(1.28088 - 0.739517i) q^{44} +(1.42829 + 1.53486i) q^{45} +(-4.01694 - 6.95754i) q^{46} +(3.64146 + 6.30720i) q^{47} +(-0.691481 + 1.58803i) q^{48} +(-0.661973 + 6.96863i) q^{49} +(-3.90714 + 2.25579i) q^{50} +(1.62499 + 2.19845i) q^{51} +(2.73429 - 2.35025i) q^{52} +(-6.97573 - 4.02744i) q^{53} +(-5.10766 - 0.954911i) 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} +(-0.483258 + 1.10983i) q^{60} +3.69483i q^{61} +(-3.36696 - 5.83175i) q^{62} +(-6.51981 - 4.52682i) q^{63} -1.00000 q^{64} +(1.91092 - 1.64253i) q^{65} +(-1.02272 + 2.34876i) q^{66} -3.95565 q^{67} +(-0.789186 + 1.36691i) q^{68} +(12.7581 + 5.55527i) 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} +(3.11967 - 7.16454i) q^{75} +(6.65498 - 3.84225i) q^{76} +(-2.89490 + 2.63294i) q^{77} +(-1.38880 + 6.08862i) 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} +(0.893473 - 4.49463i) q^{84} +(-0.551541 + 0.955297i) q^{85} +(2.34709 - 1.35510i) q^{86} +(-6.53735 + 4.83211i) 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} +(10.6937 + 4.65639i) q^{93} -7.28293i q^{94} +(4.65098 - 2.68525i) q^{95} +(1.39286 - 1.02954i) 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 0.933522 0.358521i \(-0.116719\pi\)
−0.777249 + 0.629193i \(0.783385\pi\)
\(6\) −1.58803 0.691481i −0.648312 0.282296i
\(7\) −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 \(-0.0715761\pi\)
\(12\) 1.02954 + 1.39286i 0.297202 + 0.402083i
\(13\) −0.668235 3.54309i −0.185335 0.982675i
\(14\) 0.563029 + 2.58515i 0.150476 + 0.690910i
\(15\) 0.719516 + 0.973431i 0.185778 + 0.251339i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.789186 + 1.36691i 0.191406 + 0.331524i 0.945716 0.324993i \(-0.105362\pi\)
−0.754311 + 0.656518i \(0.772029\pi\)
\(18\) −2.86800 0.880105i −0.675994 0.207443i
\(19\) 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
\(21\) −3.44573 3.02109i −0.751919 0.659255i
\(22\) −0.739517 + 1.28088i −0.157666 + 0.273085i
\(23\) 6.95754 + 4.01694i 1.45075 + 0.837589i 0.998524 0.0543159i \(-0.0172978\pi\)
0.452223 + 0.891905i \(0.350631\pi\)
\(24\) −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 \(-0.810194\pi\)
0.0726317 + 0.997359i \(0.476860\pi\)
\(30\) −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
\(36\) 2.04371 + 2.19619i 0.340618 + 0.366032i
\(37\) −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
\(39\) −1.84157 5.96729i −0.294888 0.955532i
\(40\) 0.605242 0.349437i 0.0956972 0.0552508i
\(41\) 1.63806 + 2.83721i 0.255823 + 0.443098i 0.965119 0.261813i \(-0.0843204\pi\)
−0.709296 + 0.704911i \(0.750987\pi\)
\(42\) 1.47354 + 4.33920i 0.227373 + 0.669553i
\(43\) −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
\(45\) 1.42829 + 1.53486i 0.212917 + 0.228803i
\(46\) −4.01694 6.95754i −0.592265 1.02583i
\(47\) 3.64146 + 6.30720i 0.531162 + 0.919999i 0.999339 + 0.0363646i \(0.0115778\pi\)
−0.468177 + 0.883635i \(0.655089\pi\)
\(48\) −0.691481 + 1.58803i −0.0998067 + 0.229213i
\(49\) −0.661973 + 6.96863i −0.0945676 + 0.995518i
\(50\) −3.90714 + 2.25579i −0.552553 + 0.319017i
\(51\) 1.62499 + 2.19845i 0.227544 + 0.307844i
\(52\) 2.73429 2.35025i 0.379177 0.325921i
\(53\) −6.97573 4.02744i −0.958190 0.553212i −0.0625748 0.998040i \(-0.519931\pi\)
−0.895616 + 0.444829i \(0.853265\pi\)
\(54\) −5.10766 0.954911i −0.695064 0.129947i
\(55\) 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 \(-0.811815\pi\)
−0.0675492 0.997716i \(-0.521518\pi\)
\(60\) −0.483258 + 1.10983i −0.0623883 + 0.143279i
\(61\) 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
\(63\) −6.51981 4.52682i −0.821419 0.570326i
\(64\) −1.00000 −0.125000
\(65\) 1.91092 1.64253i 0.237020 0.203731i
\(66\) −1.02272 + 2.34876i −0.125889 + 0.289112i
\(67\) −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
\(69\) 12.7581 + 5.55527i 1.53589 + 0.668776i
\(70\) −1.36790 + 1.24411i −0.163495 + 0.148700i
\(71\) 11.6622 + 6.73317i 1.38405 + 0.799081i 0.992636 0.121135i \(-0.0386533\pi\)
0.391412 + 0.920215i \(0.371987\pi\)
\(72\) −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
\(75\) 3.11967 7.16454i 0.360229 0.827290i
\(76\) 6.65498 3.84225i 0.763378 0.440737i
\(77\) −2.89490 + 2.63294i −0.329904 + 0.300051i
\(78\) −1.38880 + 6.08862i −0.157250 + 0.689400i
\(79\) −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 \(-0.511532\pi\)
−0.0362196 + 0.999344i \(0.511532\pi\)
\(84\) 0.893473 4.49463i 0.0974859 0.490404i
\(85\) −0.551541 + 0.955297i −0.0598230 + 0.103616i
\(86\) 2.34709 1.35510i 0.253094 0.146124i
\(87\) −6.53735 + 4.83211i −0.700877 + 0.518057i
\(88\) −1.47903 −0.157666
\(89\) −3.02094 + 5.23242i −0.320219 + 0.554635i −0.980533 0.196354i \(-0.937090\pi\)
0.660314 + 0.750989i \(0.270423\pi\)
\(90\) −0.469507 2.04337i −0.0494904 0.215391i
\(91\) −5.74528 + 7.61523i −0.602269 + 0.798293i
\(92\) 8.03387i 0.837589i
\(93\) 10.6937 + 4.65639i 1.10889 + 0.482845i
\(94\) 7.28293i 0.751176i
\(95\) 4.65098 2.68525i 0.477181 0.275501i
\(96\) 1.39286 1.02954i 0.142158 0.105077i
\(97\) 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 \(-0.482329\pi\)
0.0554869 + 0.998459i \(0.482329\pi\)
\(102\) −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
\(105\) 0.624425 3.14118i 0.0609376 0.306548i
\(106\) 4.02744 + 6.97573i 0.391180 + 0.677543i
\(107\) −9.24982 5.34039i −0.894214 0.516275i −0.0188956 0.999821i \(-0.506015\pi\)
−0.875319 + 0.483547i \(0.839348\pi\)
\(108\) 3.94590 + 3.38080i 0.379695 + 0.325318i
\(109\) −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
\(111\) −1.26443 + 2.90384i −0.120014 + 0.275621i
\(112\) 2.58515 0.563029i 0.244274 0.0532012i
\(113\) −8.76754 5.06194i −0.824781 0.476187i 0.0272816 0.999628i \(-0.491315\pi\)
−0.852062 + 0.523440i \(0.824648\pi\)
\(114\) −5.31369 + 12.2033i −0.497673 + 1.14294i
\(115\) 5.61466i 0.523570i
\(116\) −4.06467 2.34674i −0.377395 0.217889i
\(117\) −4.33406 9.91040i −0.400684 0.916216i
\(118\) 13.7926i 1.26971i
\(119\) 1.27055 3.97800i 0.116471 0.364663i
\(120\) 0.973431 0.719516i 0.0888617 0.0656825i
\(121\) 8.81246 0.801133
\(122\) 1.84741 3.19981i 0.167257 0.289698i
\(123\) 3.37290 + 4.56318i 0.304124 + 0.411448i
\(124\) 6.73393i 0.604725i
\(125\) 6.64739 0.594560
\(126\) 3.38291 + 7.18025i 0.301374 + 0.639667i
\(127\) 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
\(129\) −1.87405 + 4.30388i −0.165001 + 0.378935i
\(130\) −2.47617 + 0.467011i −0.217174 + 0.0409596i
\(131\) 9.16140 + 15.8680i 0.800435 + 1.38639i 0.919330 + 0.393487i \(0.128731\pi\)
−0.118895 + 0.992907i \(0.537935\pi\)
\(132\) 2.06008 1.52272i 0.179307 0.132536i
\(133\) −15.0408 + 13.6797i −1.30420 + 1.18618i
\(134\) 3.42570 + 1.97783i 0.295935 + 0.170858i
\(135\) 2.75769 + 2.36275i 0.237344 + 0.203353i
\(136\) 1.36691 0.789186i 0.117212 0.0676721i
\(137\) −17.2602 + 9.96519i −1.47464 + 0.851384i −0.999592 0.0285764i \(-0.990903\pi\)
−0.475048 + 0.879960i \(0.657569\pi\)
\(138\) −8.27117 11.1900i −0.704089 0.952559i
\(139\) 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
\(141\) 7.49804 + 10.1441i 0.631449 + 0.854286i
\(142\) −6.73317 11.6622i −0.565035 0.978670i
\(143\) −5.24035 + 0.988342i −0.438220 + 0.0826493i
\(144\) −0.880105 + 2.86800i −0.0733421 + 0.239000i
\(145\) −2.84069 1.64007i −0.235906 0.136201i
\(146\) 7.35079 + 12.7319i 0.608356 + 1.05370i
\(147\) 0.220846 + 12.1223i 0.0182151 + 0.999834i
\(148\) −1.82858 −0.150308
\(149\) 6.75118i 0.553078i 0.961003 + 0.276539i \(0.0891876\pi\)
−0.961003 + 0.276539i \(0.910812\pi\)
\(150\) −6.28398 + 4.64484i −0.513085 + 0.379249i
\(151\) 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
\(153\) 3.22573 + 3.46641i 0.260785 + 0.280242i
\(154\) 3.82352 0.832739i 0.308108 0.0671040i
\(155\) 4.70616i 0.378008i
\(156\) 4.24704 4.57850i 0.340036 0.366573i
\(157\) 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
\(159\) −12.7914 5.56980i −1.01443 0.441714i
\(160\) 0.605242 + 0.349437i 0.0478486 + 0.0276254i
\(161\) −4.52330 20.7688i −0.356486 1.63681i
\(162\) −8.97675 0.646523i −0.705280 0.0507957i
\(163\) 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
\(165\) 1.43974 1.06419i 0.112083 0.0828470i
\(166\) 0.571535 + 0.329976i 0.0443597 + 0.0256111i
\(167\) 0.895737 + 1.55146i 0.0693142 + 0.120056i 0.898600 0.438770i \(-0.144586\pi\)
−0.829285 + 0.558825i \(0.811252\pi\)
\(168\) −3.02109 + 3.44573i −0.233082 + 0.265844i
\(169\) −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 \(-0.289687\pi\)
0.613685 + 0.789551i \(0.289687\pi\)
\(174\) 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
\(177\) −14.2000 19.2111i −1.06734 1.44400i
\(178\) 5.23242 3.02094i 0.392186 0.226429i
\(179\) 0.980251i 0.0732674i −0.999329 0.0366337i \(-0.988337\pi\)
0.999329 0.0366337i \(-0.0116635\pi\)
\(180\) −0.615082 + 2.00437i −0.0458455 + 0.149397i
\(181\) 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
\(186\) −6.93283 9.37940i −0.508340 0.687731i
\(187\) 2.02171 1.16723i 0.147842 0.0853565i
\(188\) −3.64146 + 6.30720i −0.265581 + 0.460000i
\(189\) −12.1042 6.51823i −0.880454 0.474131i
\(190\) −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
\(195\) 2.96814 3.19979i 0.212553 0.229142i
\(196\) −6.36600 + 2.91103i −0.454714 + 0.207931i
\(197\) −7.75682 + 4.47840i −0.552651 + 0.319073i −0.750190 0.661222i \(-0.770038\pi\)
0.197540 + 0.980295i \(0.436705\pi\)
\(198\) −1.30171 + 4.24187i −0.0925082 + 0.301456i
\(199\) 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
\(204\) −1.09141 + 2.50651i −0.0764143 + 0.175491i
\(205\) −1.14480 + 1.98285i −0.0799562 + 0.138488i
\(206\) 15.2007 1.05909
\(207\) 23.0411 + 7.07065i 1.60147 + 0.491444i
\(208\) 3.40252 + 1.19284i 0.235922 + 0.0827082i
\(209\) −11.3656 −0.786178
\(210\) −2.11136 + 2.40813i −0.145697 + 0.166177i
\(211\) 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
\(213\) 21.3850 + 9.31173i 1.46528 + 0.638029i
\(214\) 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
\(219\) −23.3466 10.1659i −1.57762 0.686946i
\(220\) 0.895173 + 0.516829i 0.0603526 + 0.0348446i
\(221\) 4.31572 3.70957i 0.290307 0.249533i
\(222\) 2.54695 1.88259i 0.170940 0.126351i
\(223\) 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
\(225\) 3.97066 12.9392i 0.264711 0.862613i
\(226\) 5.06194 + 8.76754i 0.336715 + 0.583208i
\(227\) 0.594606 + 1.02989i 0.0394654 + 0.0683560i 0.885083 0.465432i \(-0.154101\pi\)
−0.845618 + 0.533788i \(0.820768\pi\)
\(228\) 10.7034 7.91149i 0.708851 0.523951i
\(229\) 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
\(231\) −4.46829 + 5.09635i −0.293992 + 0.335315i
\(232\) 2.34674 + 4.06467i 0.154071 + 0.266859i
\(233\) −6.24464 + 3.60534i −0.409100 + 0.236194i −0.690403 0.723425i \(-0.742567\pi\)
0.281303 + 0.959619i \(0.409233\pi\)
\(234\) −1.20179 + 10.7497i −0.0785636 + 0.702729i
\(235\) −2.54492 + 4.40793i −0.166012 + 0.287542i
\(236\) 6.89630 11.9447i 0.448911 0.777537i
\(237\) −5.44049 7.36042i −0.353398 0.478111i
\(238\) −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 −0.618094 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 −0.518264 0.855221i \(-0.673422\pi\)
0.999775 + 0.0212197i \(0.00675495\pi\)
\(252\) 0.660437 7.90973i 0.0416036 0.498266i
\(253\) 5.94119 10.2904i 0.373519 0.646954i
\(254\) 13.3492i 0.837601i
\(255\) −0.762760 + 1.75173i −0.0477659 + 0.109698i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 7.35225 12.7345i 0.458621 0.794355i −0.540267 0.841493i \(-0.681677\pi\)
0.998888 + 0.0471387i \(0.0150103\pi\)
\(258\) 3.77491 2.79024i 0.235016 0.173713i
\(259\) 4.72715 1.02954i 0.293731 0.0639727i
\(260\) 2.37793 + 0.833640i 0.147473 + 0.0517002i
\(261\) −10.3078 + 9.59209i −0.638036 + 0.593736i
\(262\) 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
\(267\) −4.17785 + 9.59471i −0.255680 + 0.587187i
\(268\) −1.97783 3.42570i −0.120815 0.209258i
\(269\) −9.42280 16.3208i −0.574518 0.995095i −0.996094 0.0883015i \(-0.971856\pi\)
0.421576 0.906793i \(-0.361477\pi\)
\(270\) −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
\(273\) −8.40141 + 14.2273i −0.508477 + 0.861076i
\(274\) 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
\(279\) 19.3129 + 5.92656i 1.15623 + 0.354814i
\(280\) −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 \(0.154624\pi\)
−0.884318 + 0.466885i \(0.845376\pi\)
\(284\) 13.4663i 0.799081i
\(285\) 7.48033 5.52913i 0.443097 0.327517i
\(286\) 5.03244 + 1.76424i 0.297575 + 0.104322i
\(287\) 2.63721 8.25689i 0.155670 0.487389i
\(288\) 2.19619 2.04371i 0.129412 0.120427i
\(289\) 7.25437 12.5649i 0.426728 0.739114i
\(290\) 1.64007 + 2.84069i 0.0963084 + 0.166811i
\(291\) 19.8715 + 8.65269i 1.16489 + 0.507230i
\(292\) 14.7016i 0.860345i
\(293\) −1.93283 + 3.34776i −0.112917 + 0.195578i −0.916945 0.399013i \(-0.869353\pi\)
0.804028 + 0.594591i \(0.202686\pi\)
\(294\) 5.86991 10.6087i 0.342340 0.618711i
\(295\) 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
\(309\) −21.1725 + 15.6497i −1.20446 + 0.890282i
\(310\) 2.35308 4.07566i 0.133646 0.231482i
\(311\) 8.46088 14.6547i 0.479773 0.830991i −0.519958 0.854192i \(-0.674052\pi\)
0.999731 + 0.0232012i \(0.00738583\pi\)
\(312\) −5.96729 + 1.84157i −0.337832 + 0.104259i
\(313\) 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
\(315\) 0.461561 5.52790i 0.0260060 0.311462i
\(316\) 2.64220 4.57643i 0.148635 0.257444i
\(317\) −21.3869 + 12.3478i −1.20121 + 0.693519i −0.960824 0.277158i \(-0.910607\pi\)
−0.240386 + 0.970677i \(0.577274\pi\)
\(318\) 8.29280 + 11.2193i 0.465037 + 0.629147i
\(319\) 3.47091 + 6.01179i 0.194333 + 0.336595i
\(320\) −0.349437 0.605242i −0.0195341 0.0338341i
\(321\) −16.9614 7.38556i −0.946695 0.412222i
\(322\) −6.46708 + 20.2479i −0.360397 + 1.12837i
\(323\) 10.5040 6.06450i 0.584459 0.337438i
\(324\) 7.45083 + 5.04828i 0.413935 + 0.280460i
\(325\) −15.3507 5.38157i −0.851505 0.298516i
\(326\) −6.56437 3.78994i −0.363567 0.209905i
\(327\) −6.34481 + 14.5713i −0.350869 + 0.805794i
\(328\) 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
\(333\) −1.60934 + 5.24436i −0.0881913 + 0.287389i
\(334\) 1.79147i 0.0980251i
\(335\) −1.38225 2.39413i −0.0755204 0.130805i
\(336\) 4.33920 1.47354i 0.236723 0.0803885i
\(337\) −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
\(339\) −16.0771 7.00048i −0.873187 0.380214i
\(340\) −1.10308 −0.0598230
\(341\) 4.97985 8.62536i 0.269674 0.467090i
\(342\) −6.76317 + 22.0391i −0.365710 + 1.19174i
\(343\) 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 \(-0.526830\pi\)
0.820857 + 0.571134i \(0.193496\pi\)
\(348\) −7.45340 3.24545i −0.399544 0.173975i
\(349\) −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
\(351\) −9.39328 16.2101i −0.501376 0.865229i
\(352\) −0.739517 1.28088i −0.0394164 0.0682712i
\(353\) −9.10955 −0.484852 −0.242426 0.970170i \(-0.577943\pi\)
−0.242426 + 0.970170i \(0.577943\pi\)
\(354\) 2.69200 + 23.7373i 0.143078 + 1.26162i
\(355\) 9.41127i 0.499498i
\(356\) −6.04188 −0.320219
\(357\) 1.41023 7.09420i 0.0746374 0.375465i
\(358\) −0.490125 + 0.848922i −0.0259039 + 0.0448669i
\(359\) 2.65584 1.53335i 0.140170 0.0809271i −0.428275 0.903648i \(-0.640879\pi\)
0.568445 + 0.822721i \(0.307545\pi\)
\(360\) 1.53486 1.42829i 0.0808942 0.0752776i
\(361\) −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
\(366\) 2.55490 5.86751i 0.133547 0.306700i
\(367\) 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
\(369\) 6.69545 + 7.19501i 0.348551 + 0.374557i
\(370\) 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
\(378\) 7.22347 + 11.6971i 0.371535 + 0.601632i
\(379\) 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
\(381\) 13.7435 + 18.5935i 0.704099 + 0.952573i
\(382\) 11.1247 19.2685i 0.569188 0.985862i
\(383\) −28.7083 −1.46692 −0.733462 0.679730i \(-0.762097\pi\)
−0.733462 + 0.679730i \(0.762097\pi\)
\(384\) 1.58803 + 0.691481i 0.0810390 + 0.0352870i
\(385\) −2.60515 0.832071i −0.132771 0.0424062i
\(386\) 6.89613 + 3.98148i 0.351004 + 0.202652i
\(387\) −2.38525 + 7.77282i −0.121249 + 0.395115i
\(388\) 12.5133i 0.635265i
\(389\) −19.7202 11.3855i −0.999855 0.577267i −0.0916497 0.995791i \(-0.529214\pi\)
−0.908205 + 0.418525i \(0.862547\pi\)
\(390\) −4.17038 + 1.28703i −0.211176 + 0.0651711i
\(391\) 12.6804i 0.641277i
\(392\) 6.96863 + 0.661973i 0.351969 + 0.0334347i
\(393\) 18.8640 + 25.5210i 0.951563 + 1.28737i
\(394\) 8.95681 0.451237
\(395\) 1.84656 3.19834i 0.0929107 0.160926i
\(396\) 3.24824 3.02271i 0.163230 0.151897i
\(397\) 10.7013i 0.537084i 0.963268 + 0.268542i \(0.0865418\pi\)
−0.963268 + 0.268542i \(0.913458\pi\)
\(398\) −21.8113 −1.09330
\(399\) −23.2155 + 26.4787i −1.16223 + 1.32559i
\(400\) 2.25579 + 3.90714i 0.112789 + 0.195357i
\(401\) 10.7399 + 6.20069i 0.536326 + 0.309648i 0.743588 0.668638i \(-0.233122\pi\)
−0.207263 + 0.978285i \(0.566456\pi\)
\(402\) 6.28172 + 2.73526i 0.313304 + 0.136422i
\(403\) 8.03247 22.9123i 0.400126 1.14134i
\(404\) 0.557637 + 0.965855i 0.0277435 + 0.0480531i
\(405\) 5.20719 + 3.52811i 0.258747 + 0.175313i
\(406\) −8.35520 9.18650i −0.414662 0.455918i
\(407\) 2.34219 + 1.35226i 0.116098 + 0.0670293i
\(408\) 2.19845 1.62499i 0.108839 0.0804491i
\(409\) 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
\(411\) −27.7602 + 20.5191i −1.36931 + 1.01213i
\(412\) −13.1642 7.60037i −0.648555 0.374443i
\(413\) −11.1027 + 34.7618i −0.546330 + 1.71051i
\(414\) −16.4189 17.6439i −0.806944 0.867152i
\(415\) −0.230611 0.399431i −0.0113203 0.0196073i
\(416\) −2.35025 2.73429i −0.115231 0.134059i
\(417\) 19.9430 + 8.68385i 0.976615 + 0.425250i
\(418\) 9.84294 + 5.68282i 0.481434 + 0.277956i
\(419\) −7.76922 13.4567i −0.379551 0.657402i 0.611446 0.791286i \(-0.290588\pi\)
−0.990997 + 0.133884i \(0.957255\pi\)
\(420\) 3.03255 1.02982i 0.147973 0.0502501i
\(421\) −26.1683 −1.27537 −0.637683 0.770299i \(-0.720107\pi\)
−0.637683 + 0.770299i \(0.720107\pi\)
\(422\) 12.3152i 0.599494i
\(423\) 14.8842 + 15.9947i 0.723693 + 0.777689i
\(424\) −4.02744 + 6.97573i −0.195590 + 0.338771i
\(425\) 7.12094 0.345416
\(426\) −13.8641 18.7567i −0.671718 0.908765i
\(427\) 7.23185 6.57743i 0.349974 0.318304i
\(428\) 10.6808i 0.516275i
\(429\) −8.82583 + 2.72375i −0.426115 + 0.131504i
\(430\) 1.64032 + 0.947040i 0.0791033 + 0.0456703i
\(431\) 22.4841i 1.08302i 0.840694 + 0.541510i \(0.182147\pi\)
−0.840694 + 0.541510i \(0.817853\pi\)
\(432\) −0.954911 + 5.10766i −0.0459432 + 0.245742i
\(433\) 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
\(435\) −5.20899 2.26816i −0.249752 0.108750i
\(436\) −9.17567 −0.439435
\(437\) 30.8682 53.4652i 1.47662 2.55759i
\(438\) 15.1358 + 20.4772i 0.723218 + 0.978439i
\(439\) 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
\(441\) 2.74608 + 20.8197i 0.130766 + 0.991413i
\(442\) −5.59231 + 1.05472i −0.265999 + 0.0501680i
\(443\) −22.9533 + 13.2521i −1.09054 + 0.629625i −0.933721 0.358002i \(-0.883458\pi\)
−0.156822 + 0.987627i \(0.550125\pi\)
\(444\) −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 \(-0.175156\pi\)
−0.0266674 + 0.999644i \(0.508490\pi\)
\(450\) −9.90829 + 9.22034i −0.467081 + 0.434651i
\(451\) 4.19633 2.42275i 0.197597 0.114083i
\(452\) 10.1239i 0.476187i
\(453\) 5.27106 12.1054i 0.247656 0.568759i
\(454\) 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
\(459\) 6.22810 + 5.33616i 0.290703 + 0.249071i
\(460\) −4.86244 + 2.80733i −0.226712 + 0.130892i
\(461\) −15.2621 + 26.4348i −0.710828 + 1.23119i 0.253718 + 0.967278i \(0.418346\pi\)
−0.964547 + 0.263913i \(0.914987\pi\)
\(462\) 6.41783 2.17942i 0.298584 0.101396i
\(463\) −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 \(-0.155102\pi\)
−0.847292 + 0.531127i \(0.821769\pi\)
\(468\) 6.41562 8.70860i 0.296562 0.402555i
\(469\) 7.04175 + 7.74237i 0.325158 + 0.357509i
\(470\) 4.40793 2.54492i 0.203323 0.117388i
\(471\) 9.47418 + 4.12536i 0.436547 + 0.190087i
\(472\) −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
\(477\) −23.1014 7.08914i −1.05774 0.324589i
\(478\) 3.29763 5.71166i 0.150830 0.261245i
\(479\) 29.7134 1.35764 0.678819 0.734305i \(-0.262492\pi\)
0.678819 + 0.734305i \(0.262492\pi\)
\(480\) 1.10983 + 0.483258i 0.0506568 + 0.0220576i
\(481\) 6.22177 + 2.18119i 0.283688 + 0.0994538i
\(482\) 4.41609 0.201147
\(483\) −11.8383 34.8606i −0.538660 1.58621i
\(484\) 4.40623 + 7.63181i 0.200283 + 0.346901i
\(485\) 8.74519i 0.397098i
\(486\) −15.5753 + 0.639374i −0.706512 + 0.0290026i
\(487\) −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 −0.729917 0.683536i \(-0.760441\pi\)
0.227001 + 0.973895i \(0.427108\pi\)
\(492\) −2.26538 + 5.20260i −0.102131 + 0.234552i
\(493\) −6.41556 3.70403i −0.288942 0.166821i
\(494\) 26.1467 + 9.16635i 1.17639 + 0.412413i
\(495\) 2.27011 2.11249i 0.102034 0.0949495i
\(496\) −5.83175 + 3.36696i −0.261853 + 0.151181i
\(497\) −7.58195 34.8125i −0.340097 1.56156i
\(498\) 1.04803 + 0.456345i 0.0469632 + 0.0204493i
\(499\) 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
\(501\) 1.84439 + 2.49527i 0.0824013 + 0.111480i
\(502\) −13.2131 + 7.62856i −0.589728 + 0.340479i
\(503\) 10.4430 18.0877i 0.465629 0.806492i −0.533601 0.845736i \(-0.679162\pi\)
0.999230 + 0.0392439i \(0.0124949\pi\)
\(504\) −4.52682 + 6.51981i −0.201641 + 0.290415i
\(505\) 0.389717 + 0.675010i 0.0173422 + 0.0300376i
\(506\) −10.2904 + 5.94119i −0.457466 + 0.264118i
\(507\) −19.9120 + 10.5124i −0.884325 + 0.466872i
\(508\) −6.67458 + 11.5607i −0.296137 + 0.512924i
\(509\) 10.1690 17.6131i 0.450731 0.780689i −0.547701 0.836674i \(-0.684497\pi\)
0.998432 + 0.0559855i \(0.0178301\pi\)
\(510\) 1.53644 1.13566i 0.0680345 0.0502880i
\(511\) 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 \(-0.429483\pi\)
0.734997 0.678071i \(-0.237184\pi\)
\(522\) 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
\(525\) −19.5766 + 6.64801i −0.854394 + 0.290143i
\(526\) 6.67295 11.5579i 0.290955 0.503948i
\(527\) 10.6286i 0.462991i
\(528\) 2.34876 + 1.02272i 0.102217 + 0.0445084i
\(529\) 20.7715 + 35.9774i 0.903111 + 1.56423i
\(530\) −2.81467 + 4.87515i −0.122261 + 0.211763i
\(531\) −28.1880 30.2912i −1.22326 1.31453i
\(532\) −19.3674 6.18585i −0.839684 0.268191i
\(533\) 8.95787 7.69973i 0.388008 0.333512i
\(534\) 8.41548 6.22034i 0.364173 0.269180i
\(535\) 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
\(540\) −0.667361 + 3.56960i −0.0287187 + 0.153611i
\(541\) 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
\(546\) 14.3895 8.12050i 0.615813 0.347525i
\(547\) 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
\(552\) 5.55527 12.7581i 0.236448 0.543019i
\(553\) −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 \(-0.0477833\pi\)
\(558\) −13.7622 14.7890i −0.582599 0.626068i
\(559\) 9.22148 + 3.23281i 0.390027 + 0.136733i
\(560\) 1.24411 + 1.36790i 0.0525734 + 0.0578042i
\(561\) 3.25158 2.40342i 0.137282 0.101472i
\(562\) 2.80997 4.86700i 0.118531 0.205302i
\(563\) −14.3073 24.7810i −0.602981 1.04439i −0.992367 0.123319i \(-0.960646\pi\)
0.389386 0.921075i \(-0.372687\pi\)
\(564\) −5.03601 + 11.5655i −0.212054 + 0.486997i
\(565\) 7.07531i 0.297661i
\(566\) 7.85422 13.6039i 0.330138 0.571815i
\(567\) −22.1038 8.85552i −0.928274 0.371897i
\(568\) 6.73317 11.6622i 0.282518 0.489335i
\(569\) 9.19011 + 5.30591i 0.385269 + 0.222435i 0.680108 0.733112i \(-0.261933\pi\)
−0.294839 + 0.955547i \(0.595266\pi\)
\(570\) −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
\(582\) −12.8829 17.4292i −0.534012 0.722464i
\(583\) −5.95672 + 10.3173i −0.246702 + 0.427301i
\(584\) −7.35079 + 12.7319i −0.304178 + 0.526852i
\(585\) 4.48371 6.08621i 0.185379 0.251634i
\(586\) 3.34776 1.93283i 0.138295 0.0798444i
\(587\) −14.0104 24.2667i −0.578271 1.00159i −0.995678 0.0928746i \(-0.970394\pi\)
0.417407 0.908720i \(-0.362939\pi\)
\(588\) −10.3878 + 6.25243i −0.428387 + 0.257846i
\(589\) 25.8735 44.8141i 1.06610 1.84653i
\(590\) −8.34786 + 4.81964i −0.343676 + 0.198421i
\(591\) −12.4756 + 9.22137i −0.513176 + 0.379316i
\(592\) −0.914289 1.58359i −0.0375770 0.0650853i
\(593\) 20.0207 + 34.6769i 0.822152 + 1.42401i 0.904077 + 0.427370i \(0.140560\pi\)
−0.0819254 + 0.996638i \(0.526107\pi\)
\(594\) −1.41235 + 7.55440i −0.0579492 + 0.309961i
\(595\) 2.85163 0.621067i 0.116905 0.0254613i
\(596\) −5.84670 + 3.37559i −0.239490 + 0.138270i
\(597\) 30.3801 22.4556i 1.24337 0.919046i
\(598\) −21.9669 + 18.8816i −0.898293 + 0.772127i
\(599\) −36.5373 21.0948i −1.49287 0.861911i −0.492908 0.870082i \(-0.664066\pi\)
−0.999967 + 0.00817029i \(0.997399\pi\)
\(600\) −7.16454 3.11967i −0.292491 0.127360i
\(601\) 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
\(606\) −1.77109 0.771191i −0.0719457 0.0313275i
\(607\) 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
\(609\) 21.0954 + 4.19350i 0.854831 + 0.169929i
\(610\) 2.58222 0.104551
\(611\) 19.9136 17.1167i 0.805618 0.692468i
\(612\) −1.38913 + 4.52677i −0.0561524 + 0.182984i
\(613\) 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
\(615\) −1.58321 + 3.63596i −0.0638414 + 0.146616i
\(616\) 2.63294 + 2.89490i 0.106084 + 0.116639i
\(617\) −9.75168 5.63013i −0.392588 0.226661i 0.290693 0.956816i \(-0.406114\pi\)
−0.683281 + 0.730156i \(0.739447\pi\)
\(618\) 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
\(621\) 41.0343 + 7.67163i 1.64665 + 0.307852i
\(622\) −14.6547 + 8.46088i −0.587599 + 0.339250i
\(623\) 15.6192 3.40175i 0.625768 0.136288i
\(624\) 6.08862 + 1.38880i 0.243740 + 0.0555964i
\(625\) −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
\(630\) −3.16367 + 4.55652i −0.126044 + 0.181536i
\(631\) 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
\(633\) 12.6789 + 17.1533i 0.503943 + 0.681782i
\(634\) 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
\(639\) 38.6215 + 11.8518i 1.52784 + 0.468850i
\(640\) 0.698873i 0.0276254i
\(641\) 14.5095 8.37708i 0.573092 0.330875i −0.185291 0.982684i \(-0.559323\pi\)
0.758383 + 0.651809i \(0.225990\pi\)
\(642\) 10.9963 + 14.8768i 0.433988 + 0.587141i
\(643\) −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 \(-0.700734\pi\)
−0.589649 + 0.807659i \(0.700734\pi\)
\(648\) −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
\(651\) −9.92275 29.2199i −0.388903 1.14522i
\(652\) 3.78994 + 6.56437i 0.148426 + 0.257081i
\(653\) −22.1413 12.7833i −0.866457 0.500249i −0.000287486 1.00000i \(-0.500092\pi\)
−0.866169 + 0.499751i \(0.833425\pi\)
\(654\) 12.7804 9.44670i 0.499753 0.369395i
\(655\) −6.40266 + 11.0897i −0.250172 + 0.433311i
\(656\) −3.27613 −0.127911
\(657\) −42.1641 12.9389i −1.64498 0.504796i
\(658\) −14.2548 + 12.9649i −0.555710 + 0.505423i
\(659\) −6.23900 3.60209i −0.243037 0.140317i 0.373535 0.927616i \(-0.378146\pi\)
−0.616572 + 0.787299i \(0.711479\pi\)
\(660\) 1.64148 + 0.714755i 0.0638947 + 0.0278218i
\(661\) 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
\(663\) 6.70341 7.22657i 0.260339 0.280657i
\(664\) 0.659952i 0.0256111i
\(665\) −13.5354 4.32313i −0.524879 0.167644i
\(666\) 4.01591 3.73708i 0.155613 0.144809i
\(667\) −37.7068 −1.46001
\(668\) −0.895737 + 1.55146i −0.0346571 + 0.0600279i
\(669\) 16.1662 11.9493i 0.625022 0.461988i
\(670\) 2.76450i 0.106802i
\(671\) 5.46478 0.210965
\(672\) −4.49463 0.893473i −0.173384 0.0344665i
\(673\) −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
\(675\) 4.30815 23.0436i 0.165821 0.886948i
\(676\) −10.1543 8.11729i −0.390550 0.312203i
\(677\) 9.18179 + 15.9033i 0.352885 + 0.611214i 0.986754 0.162226i \(-0.0518674\pi\)
−0.633869 + 0.773441i \(0.718534\pi\)
\(678\) 10.4229 + 14.1011i 0.400290 + 0.541550i
\(679\) −7.04533 32.3487i −0.270375 1.24143i
\(680\) 0.955297 + 0.551541i 0.0366339 + 0.0211506i
\(681\) 1.22434 + 1.65640i 0.0469167 + 0.0634735i
\(682\) −8.62536 + 4.97985i −0.330282 + 0.190689i
\(683\) −18.4956 + 10.6785i −0.707715 + 0.408600i −0.810214 0.586134i \(-0.800649\pi\)
0.102499 + 0.994733i \(0.467316\pi\)
\(684\) 16.8767 15.7049i 0.645295 0.600491i
\(685\) −12.0627 6.96440i −0.460892 0.266096i
\(686\) −18.3877 + 2.21224i −0.702044 + 0.0844637i
\(687\) 9.28688 6.86444i 0.354317 0.261895i
\(688\) −1.35510 2.34709i −0.0516625 0.0894821i
\(689\) −9.60814 + 27.4069i −0.366041 + 1.04412i
\(690\) 3.88243 8.91627i 0.147802 0.339437i
\(691\) −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
\(693\) −6.69532 + 9.64302i −0.254334 + 0.366308i
\(694\) −15.8455 −0.601487
\(695\) 8.77668i 0.332918i
\(696\) 4.83211 + 6.53735i 0.183161 + 0.247797i
\(697\) −2.58547 + 4.47817i −0.0979318 + 0.169623i
\(698\) 22.3012 0.844113
\(699\) −10.0435 + 7.42367i −0.379879 + 0.280789i
\(700\) −8.03138 8.83047i −0.303558 0.333760i
\(701\) 21.8719i 0.826089i 0.910711 + 0.413044i \(0.135535\pi\)
−0.910711 + 0.413044i \(0.864465\pi\)
\(702\) 0.0297819 + 18.7350i 0.00112404 + 0.707106i
\(703\) 12.1691 + 7.02586i 0.458968 + 0.264985i
\(704\) 1.47903i 0.0557432i
\(705\) −3.51953 + 8.08284i −0.132553 + 0.304418i
\(706\) 7.88910 + 4.55477i 0.296910 + 0.171421i
\(707\) −1.98538 2.18291i −0.0746678 0.0820969i
\(708\) 9.53733 21.9031i 0.358435 0.823170i
\(709\) −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
\(711\) −10.7998 11.6056i −0.405023 0.435243i
\(712\) 5.23242 + 3.02094i 0.196093 + 0.113214i
\(713\) 27.0498 + 46.8516i 1.01302 + 1.75460i
\(714\) −4.76840 + 5.43864i −0.178453 + 0.203536i
\(715\) −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 \(-0.583742\pi\)
−0.260060 + 0.965593i \(0.583742\pi\)
\(720\) −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
\(723\) −6.15098 + 4.54653i −0.228758 + 0.169087i
\(724\) 6.61117 3.81696i 0.245702 0.141856i
\(725\) 21.1750i 0.786419i
\(726\) −13.9945 6.09365i −0.519384 0.226157i
\(727\) 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
\(732\) −5.14637 + 3.80396i −0.190215 + 0.140599i
\(733\) −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
\(735\) −7.25978 + 4.36966i −0.267781 + 0.161177i
\(736\) 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
\(741\) −45.8557 + 14.1516i −1.68455 + 0.519871i
\(742\) 6.48400 20.3009i 0.238035 0.745269i
\(743\) 17.7056 10.2223i 0.649554 0.375020i −0.138732 0.990330i \(-0.544303\pi\)
0.788285 + 0.615310i \(0.210969\pi\)
\(744\) 4.65639 10.6937i 0.170711 0.392050i
\(745\) −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
\(750\) −10.5563 4.59654i −0.385461 0.167842i
\(751\) −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
\(753\) 10.5500 24.2288i 0.384464 0.882948i
\(754\) −3.13634 16.6294i −0.114219 0.605607i
\(755\) 5.32741 0.193884
\(756\) −0.407172 13.7417i −0.0148087 0.499781i
\(757\) −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
\(759\) 8.21644 18.8696i 0.298238 0.684924i
\(760\) −2.68525 4.65098i −0.0974042 0.168709i
\(761\) 0.990826 0.0359174 0.0179587 0.999839i \(-0.494283\pi\)
0.0179587 + 0.999839i \(0.494283\pi\)
\(762\) −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
\(765\) −0.970828 + 3.16364i −0.0351003 + 0.114381i
\(766\) 24.8621 + 14.3541i 0.898304 + 0.518636i
\(767\) −37.7129 + 32.4161i −1.36173 + 1.17048i
\(768\) −1.02954 1.39286i −0.0371502 0.0502604i
\(769\) −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
\(771\) 10.1679 23.3513i 0.366188 0.840975i
\(772\) −3.98148 6.89613i −0.143297 0.248197i
\(773\) −5.46527 9.46613i −0.196572 0.340473i 0.750843 0.660481i \(-0.229648\pi\)
−0.947415 + 0.320008i \(0.896314\pi\)
\(774\) 5.95210 5.53884i 0.213944 0.199089i
\(775\) 26.3104 15.1903i 0.945097 0.545652i
\(776\) 6.25663