Properties

Label 546.2.u.a.425.19
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 425.19
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.19

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 1.72102 + 0.195177i 0.993631 + 0.112685i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 0.349437 0.605242i 0.156273 0.270672i −0.777249 0.629193i \(-0.783385\pi\)
0.933522 + 0.358521i \(0.116719\pi\)
\(6\) −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 \(0.0715761\pi\)
−0.974825 + 0.222973i \(0.928424\pi\)
\(12\) 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 −0.754311 0.656518i \(-0.772029\pi\)
0.945716 + 0.324993i \(0.105362\pi\)
\(18\) −2.86800 + 0.880105i −0.675994 + 0.207443i
\(19\) 7.68450i 1.76295i 0.472234 + 0.881473i \(0.343448\pi\)
−0.472234 + 0.881473i \(0.656552\pi\)
\(20\) −0.349437 0.605242i −0.0781364 0.135336i
\(21\) −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 0.452223 0.891905i \(-0.350631\pi\)
0.998524 + 0.0543159i \(0.0172978\pi\)
\(24\) −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 \(-0.476860\pi\)
−0.827422 + 0.561580i \(0.810194\pi\)
\(30\) −0.136404 + 1.20277i −0.0249038 + 0.219595i
\(31\) 5.83175 3.36696i 1.04741 0.604725i 0.125490 0.992095i \(-0.459950\pi\)
0.921924 + 0.387370i \(0.126616\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) −0.288673 + 2.54545i −0.0502515 + 0.443105i
\(34\) 1.57837i 0.270688i
\(35\) 0.562577 + 1.76138i 0.0950929 + 0.297728i
\(36\) 2.04371 2.19619i 0.340618 0.366032i
\(37\) −0.914289 1.58359i −0.150308 0.260341i 0.781033 0.624490i \(-0.214693\pi\)
−0.931341 + 0.364149i \(0.881360\pi\)
\(38\) −3.84225 6.65498i −0.623296 1.07958i
\(39\) −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 −0.709296 0.704911i \(-0.750987\pi\)
0.965119 + 0.261813i \(0.0843204\pi\)
\(42\) 1.47354 4.33920i 0.227373 0.669553i
\(43\) −1.35510 2.34709i −0.206650 0.357929i 0.744007 0.668172i \(-0.232923\pi\)
−0.950657 + 0.310243i \(0.899590\pi\)
\(44\) 1.28088 + 0.739517i 0.193100 + 0.111486i
\(45\) 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 −0.468177 0.883635i \(-0.655089\pi\)
0.999339 0.0363646i \(-0.0115778\pi\)
\(48\) −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 −0.895616 0.444829i \(-0.853265\pi\)
−0.0625748 + 0.998040i \(0.519931\pi\)
\(54\) −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 −0.0675492 + 0.997716i \(0.521518\pi\)
−0.830273 + 0.557357i \(0.811815\pi\)
\(60\) −0.483258 1.10983i −0.0623883 0.143279i
\(61\) 3.69483i 0.473074i −0.971622 0.236537i \(-0.923988\pi\)
0.971622 0.236537i \(-0.0760125\pi\)
\(62\) −3.36696 + 5.83175i −0.427605 + 0.740633i
\(63\) −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 0.391412 0.920215i \(-0.371987\pi\)
0.992636 + 0.121135i \(0.0386533\pi\)
\(72\) −0.671806 + 2.92381i −0.0791731 + 0.344575i
\(73\) −12.7319 + 7.35079i −1.49016 + 0.860345i −0.999937 0.0112512i \(-0.996419\pi\)
−0.490225 + 0.871596i \(0.663085\pi\)
\(74\) 1.58359 + 0.914289i 0.184089 + 0.106284i
\(75\) 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 −0.975511 0.219952i \(-0.929410\pi\)
0.678240 + 0.734841i \(0.262743\pi\)
\(80\) −0.698873 −0.0781364
\(81\) 8.09735 + 3.92847i 0.899706 + 0.436496i
\(82\) 3.27613i 0.361788i
\(83\) −0.659952 −0.0724392 −0.0362196 0.999344i \(-0.511532\pi\)
−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 0.660314 0.750989i \(-0.270423\pi\)
−0.980533 + 0.196354i \(0.937090\pi\)
\(90\) −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 0.164008 0.986459i \(-0.447558\pi\)
0.936303 + 0.351194i \(0.114224\pi\)
\(98\) 4.05760 + 5.70402i 0.409880 + 0.576193i
\(99\) −0.993624 + 4.32442i −0.0998630 + 0.434620i
\(100\) 4.51158 0.451158
\(101\) 1.11527 0.110974 0.0554869 0.998459i \(-0.482329\pi\)
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 −0.317206 0.948357i \(-0.602745\pi\)
−0.979904 + 0.199470i \(0.936078\pi\)
\(104\) −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 −0.875319 0.483547i \(-0.839348\pi\)
−0.0188956 + 0.999821i \(0.506015\pi\)
\(108\) 3.94590 3.38080i 0.379695 0.325318i
\(109\) −4.58784 7.94637i −0.439435 0.761124i 0.558211 0.829699i \(-0.311488\pi\)
−0.997646 + 0.0685753i \(0.978155\pi\)
\(110\) −1.03366 −0.0985554
\(111\) −1.26443 2.90384i −0.120014 0.275621i
\(112\) 2.58515 + 0.563029i 0.244274 + 0.0532012i
\(113\) −8.76754 + 5.06194i −0.824781 + 0.476187i −0.852062 0.523440i \(-0.824648\pi\)
0.0272816 + 0.999628i \(0.491315\pi\)
\(114\) −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 −0.401652 0.915792i \(-0.631564\pi\)
0.993925 0.110055i \(-0.0351027\pi\)
\(128\) 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 −0.118895 0.992907i \(-0.537935\pi\)
0.919330 0.393487i \(-0.128731\pi\)
\(132\) 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 −0.475048 0.879960i \(-0.657569\pi\)
−0.999592 + 0.0285764i \(0.990903\pi\)
\(138\) −8.27117 + 11.1900i −0.704089 + 0.952559i
\(139\) 10.8758 6.27916i 0.922475 0.532591i 0.0380515 0.999276i \(-0.487885\pi\)
0.884424 + 0.466684i \(0.154552\pi\)
\(140\) 1.80669 + 0.393486i 0.152693 + 0.0332556i
\(141\) 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 \(-0.910812\pi\)
0.961003 0.276539i \(-0.0891876\pi\)
\(150\) −6.28398 4.64484i −0.513085 0.379249i
\(151\) 3.81143 + 6.60158i 0.310169 + 0.537229i 0.978399 0.206726i \(-0.0662809\pi\)
−0.668229 + 0.743955i \(0.732948\pi\)
\(152\) −7.68450 −0.623296
\(153\) 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 −0.279451 0.960160i \(-0.590152\pi\)
0.691798 + 0.722091i \(0.256819\pi\)
\(158\) 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 −0.829285 0.558825i \(-0.811252\pi\)
0.898600 + 0.438770i \(0.144586\pi\)
\(168\) −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 \(0.0116635\pi\)
−0.999329 + 0.0366337i \(0.988337\pi\)
\(180\) −0.615082 2.00437i −0.0458455 0.149397i
\(181\) 7.63392i 0.567425i 0.958909 + 0.283712i \(0.0915661\pi\)
−0.958909 + 0.283712i \(0.908434\pi\)
\(182\) 8.78317 + 3.72235i 0.651052 + 0.275919i
\(183\) 0.721145 6.35887i 0.0533085 0.470061i
\(184\) 4.01694 + 6.95754i 0.296132 + 0.512916i
\(185\) −1.27794 −0.0939563
\(186\) −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 \(-0.702190\pi\)
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
\(195\) 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 0.197540 0.980295i \(-0.436705\pi\)
−0.750190 + 0.661222i \(0.770038\pi\)
\(198\) −1.30171 4.24187i −0.0925082 0.301456i
\(199\) 18.8892 + 10.9057i 1.33902 + 0.773082i 0.986662 0.162784i \(-0.0520473\pi\)
0.352356 + 0.935866i \(0.385381\pi\)
\(200\) −3.90714 + 2.25579i −0.276276 + 0.159508i
\(201\) −6.80776 0.772052i −0.480182 0.0544564i
\(202\) −0.965855 + 0.557637i −0.0679573 + 0.0392352i
\(203\) 11.8291 3.77814i 0.830238 0.265174i
\(204\) −1.09141 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 −0.572412 0.819966i \(-0.693992\pi\)
0.996318 + 0.0857397i \(0.0273253\pi\)
\(212\) 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 0.797250 0.603649i \(-0.206287\pi\)
−0.124150 + 0.992263i \(0.539620\pi\)
\(224\) −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 −0.845618 0.533788i \(-0.820768\pi\)
0.885083 + 0.465432i \(0.154101\pi\)
\(228\) 10.7034 + 7.91149i 0.708851 + 0.523951i
\(229\) 5.77423 + 3.33375i 0.381572 + 0.220301i 0.678502 0.734599i \(-0.262630\pi\)
−0.296930 + 0.954899i \(0.595963\pi\)
\(230\) 2.80733 + 4.86244i 0.185110 + 0.320620i
\(231\) −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 0.281303 0.959619i \(-0.409233\pi\)
−0.690403 + 0.723425i \(0.742567\pi\)
\(234\) −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 \(-0.931577\pi\)
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 0.371740 0.928337i \(-0.378761\pi\)
−0.618094 + 0.786104i \(0.712095\pi\)
\(242\) −7.63181 + 4.40623i −0.490592 + 0.283243i
\(243\) 13.1690 + 8.34138i 0.844789 + 0.535100i
\(244\) −3.19981 1.84741i −0.204847 0.118269i
\(245\) −4.44902 2.03444i −0.284238 0.129976i
\(246\) −0.639424 + 5.63828i −0.0407682 + 0.359484i
\(247\) −27.2269 5.13505i −1.73240 0.326736i
\(248\) 3.36696 + 5.83175i 0.213802 + 0.370317i
\(249\) −1.13579 0.128807i −0.0719778 0.00816283i
\(250\) −5.75681 + 3.32369i −0.364092 + 0.210209i
\(251\) 7.62856 + 13.2131i 0.481511 + 0.834001i 0.999775 0.0212197i \(-0.00675495\pi\)
−0.518264 + 0.855221i \(0.673422\pi\)
\(252\) 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 0.998888 0.0471387i \(-0.0150103\pi\)
−0.540267 + 0.841493i \(0.681677\pi\)
\(258\) 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 \(-0.865015\pi\)
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
\(267\) −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 0.421576 + 0.906793i \(0.361477\pi\)
−0.996094 + 0.0883015i \(0.971856\pi\)
\(270\) −1.20685 + 3.42505i −0.0734465 + 0.208442i
\(271\) −8.32026 + 4.80370i −0.505420 + 0.291804i −0.730949 0.682432i \(-0.760922\pi\)
0.225529 + 0.974236i \(0.427589\pi\)
\(272\) −1.57837 −0.0957028
\(273\) −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 −0.940445 0.339947i \(-0.889591\pi\)
0.764625 + 0.644475i \(0.222924\pi\)
\(278\) −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 \(-0.946389\pi\)
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 \(-0.845376\pi\)
0.884318 0.466885i \(-0.154624\pi\)
\(284\) 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 0.804028 0.594591i \(-0.202686\pi\)
−0.916945 + 0.399013i \(0.869353\pi\)
\(294\) 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 \(0.233554\pi\)
−0.742681 + 0.669645i \(0.766446\pi\)
\(308\) −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 0.999731 0.0232012i \(-0.00738583\pi\)
−0.519958 + 0.854192i \(0.674052\pi\)
\(312\) −5.96729 1.84157i −0.337832 0.104259i
\(313\) 14.8585 + 8.57858i 0.839854 + 0.484890i 0.857214 0.514960i \(-0.172193\pi\)
−0.0173608 + 0.999849i \(0.505526\pi\)
\(314\) −2.98299 + 5.16669i −0.168340 + 0.291573i
\(315\) 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 −0.240386 0.970677i \(-0.577274\pi\)
−0.960824 + 0.277158i \(0.910607\pi\)
\(318\) 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 0.820857 0.571134i \(-0.193496\pi\)
−0.0841884 + 0.996450i \(0.526830\pi\)
\(348\) −7.45340 + 3.24545i −0.399544 + 0.173975i
\(349\) −19.3134 11.1506i −1.03382 0.596878i −0.115746 0.993279i \(-0.536926\pi\)
−0.918078 + 0.396401i \(0.870259\pi\)
\(350\) 11.3706 3.63172i 0.607785 0.194123i
\(351\) −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 0.568445 0.822721i \(-0.307545\pi\)
−0.428275 + 0.903648i \(0.640879\pi\)
\(360\) 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 \(-0.978038\pi\)
0.997621 0.0689399i \(-0.0219617\pi\)
\(368\) −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 −0.633050 0.774111i \(-0.718197\pi\)
0.986925 + 0.161182i \(0.0515307\pi\)
\(380\) 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 −0.908205 0.418525i \(-0.862547\pi\)
−0.0916497 + 0.995791i \(0.529214\pi\)
\(390\) −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 \(-0.913458\pi\)
0.963268 0.268542i \(-0.0865418\pi\)
\(398\) −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 −0.207263 0.978285i \(-0.566456\pi\)
0.743588 + 0.668638i \(0.233122\pi\)
\(402\) 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 0.731151 0.682216i \(-0.238984\pi\)
−0.225241 + 0.974303i \(0.572317\pi\)
\(410\) 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 −0.990997 0.133884i \(-0.957255\pi\)
0.611446 + 0.791286i \(0.290588\pi\)
\(420\) 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 \(-0.817853\pi\)
0.840694 0.541510i \(-0.182147\pi\)
\(432\) −0.954911 5.10766i −0.0459432 0.245742i
\(433\) 18.0042 10.3947i 0.865226 0.499538i −0.000532949 1.00000i \(-0.500170\pi\)
0.865759 + 0.500461i \(0.166836\pi\)
\(434\) −5.42066 16.9717i −0.260200 0.814665i
\(435\) −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 −0.266433 0.963853i \(-0.585845\pi\)
0.701505 + 0.712664i \(0.252512\pi\)
\(440\) −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 −0.156822 0.987627i \(-0.550125\pi\)
−0.933721 + 0.358002i \(0.883458\pi\)
\(444\) −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 \(-0.508490\pi\)
0.852384 + 0.522917i \(0.175156\pi\)
\(450\) −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 0.979715 0.200396i \(-0.0642229\pi\)
−0.663406 + 0.748260i \(0.730890\pi\)
\(458\) −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 −0.964547 0.263913i \(-0.914987\pi\)
0.253718 0.967278i \(-0.418346\pi\)
\(462\) 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 −0.847292 0.531127i \(-0.821769\pi\)
0.883616 + 0.468213i \(0.155102\pi\)
\(468\) 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 −0.999437 0.0335574i \(-0.989316\pi\)
0.528780 + 0.848759i \(0.322650\pi\)
\(488\) 3.69483 0.167257
\(489\) 13.0451 + 1.47942i 0.589921 + 0.0669016i
\(490\) 4.87019 0.462636i 0.220013 0.0208997i
\(491\) −11.1439 6.43392i −0.502916 0.290359i 0.227001 0.973895i \(-0.427108\pi\)
−0.729917 + 0.683536i \(0.760441\pi\)
\(492\) −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 0.127007 0.991902i \(-0.459463\pi\)
0.795509 0.605942i \(-0.207204\pi\)
\(500\) 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 0.999230 0.0392439i \(-0.0124949\pi\)
−0.533601 + 0.845736i \(0.679162\pi\)
\(504\) −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 0.998432 0.0559855i \(-0.0178301\pi\)
−0.547701 + 0.836674i \(0.684497\pi\)
\(510\) 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 0.734997 + 0.678071i \(0.237184\pi\)
0.219728 + 0.975561i \(0.429483\pi\)
\(522\) 13.7228 + 3.15311i 0.600633 + 0.138008i
\(523\) 10.3687 5.98635i 0.453390 0.261765i −0.255871 0.966711i \(-0.582362\pi\)
0.709261 + 0.704946i \(0.249029\pi\)
\(524\) −9.16140 15.8680i −0.400217 0.693197i
\(525\) −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 −0.774062 0.633110i \(-0.781778\pi\)
0.935320 + 0.353802i \(0.115111\pi\)
\(542\) 4.80370 8.32026i 0.206337 0.357386i
\(543\) −1.48996 + 13.1381i −0.0639405 + 0.563811i
\(544\) 1.36691 0.789186i 0.0586058 0.0338361i
\(545\) −6.41263 −0.274687
\(546\) 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 \(0.0477833\pi\)
−0.988754 + 0.149552i \(0.952217\pi\)
\(558\) −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 0.389386 + 0.921075i \(0.372687\pi\)
−0.992367 + 0.123319i \(0.960646\pi\)
\(564\) −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 −0.294839 0.955547i \(-0.595266\pi\)
0.680108 + 0.733112i \(0.261933\pi\)
\(570\) −9.24272 1.04820i −0.387135 0.0439041i
\(571\) −5.54867 9.61058i −0.232205 0.402190i 0.726252 0.687429i \(-0.241261\pi\)
−0.958457 + 0.285238i \(0.907927\pi\)
\(572\) −3.47610 + 4.04410i −0.145343 + 0.169092i
\(573\) 4.34256 38.2916i 0.181413 1.59965i
\(574\) −6.41234 5.83207i −0.267646 0.243426i
\(575\) 31.3895 + 18.1227i 1.30903 + 0.755769i
\(576\) −2.92381 0.671806i −0.121826 0.0279919i
\(577\) −6.35102 + 3.66676i −0.264396 + 0.152649i −0.626338 0.779551i \(-0.715447\pi\)
0.361942 + 0.932201i \(0.382114\pi\)
\(578\) −12.5649 7.25437i −0.522633 0.301742i
\(579\) −13.7044 1.55419i −0.569536 0.0645898i
\(580\) 3.28015i 0.136201i
\(581\) 1.17483 1.29172i 0.0487401 0.0535895i
\(582\) −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 0.417407 + 0.908720i \(0.362939\pi\)
−0.995678 + 0.0928746i \(0.970394\pi\)
\(588\) −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 −0.0819254 0.996638i \(-0.526107\pi\)
0.904077 0.427370i \(-0.140560\pi\)
\(594\) −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 −0.999967 0.00817029i \(-0.997399\pi\)
−0.492908 + 0.870082i \(0.664066\pi\)
\(600\) −7.16454 + 3.11967i −0.292491 + 0.127360i
\(601\) 12.5623 + 7.25284i 0.512426 + 0.295850i 0.733831 0.679333i \(-0.237731\pi\)
−0.221404 + 0.975182i \(0.571064\pi\)
\(602\) −6.83055 + 2.18164i −0.278392 + 0.0889171i
\(603\) −11.5656 2.65743i −0.470987 0.108219i
\(604\) 7.62285 0.310169
\(605\) 3.07940 5.33367i 0.125195 0.216845i
\(606\) −1.77109 + 0.771191i −0.0719457 + 0.0313275i
\(607\) 0.360914i 0.0146490i −0.999973 0.00732452i \(-0.997669\pi\)
0.999973 0.00732452i \(-0.00233149\pi\)
\(608\) −3.84225 + 6.65498i −0.155824 + 0.269895i
\(609\) 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 −0.683281 0.730156i \(-0.739447\pi\)
0.290693 + 0.956816i \(0.406114\pi\)
\(618\) 26.1608 + 2.96683i 1.05234 + 0.119344i
\(619\) 13.8755 8.01105i 0.557705 0.321991i −0.194519 0.980899i \(-0.562315\pi\)
0.752224 + 0.658908i \(0.228981\pi\)
\(620\) −4.07566 2.35308i −0.163682 0.0945020i
\(621\) 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 0.999872 0.0159683i \(-0.00508308\pi\)
−0.513765 + 0.857931i \(0.671750\pi\)
\(632\) −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 0.758383 0.651809i \(-0.225990\pi\)
−0.185291 + 0.982684i \(0.559323\pi\)
\(642\) 10.9963 14.8768i 0.433988 0.587141i
\(643\) −10.0110 + 5.77985i −0.394795 + 0.227935i −0.684236 0.729261i \(-0.739864\pi\)
0.289441 + 0.957196i \(0.406531\pi\)
\(644\) 15.7246 + 14.3017i 0.619637 + 0.563565i
\(645\) −3.25975 0.369680i −0.128352 0.0145562i
\(646\) −12.1290 −0.477209
\(647\) −29.9969 −1.17930 −0.589649 0.807659i \(-0.700734\pi\)
−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 −0.866169 0.499751i \(-0.833425\pi\)
−0.000287486 1.00000i \(0.500092\pi\)
\(654\) 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 −0.616572 0.787299i \(-0.711479\pi\)
0.373535 + 0.927616i \(0.378146\pi\)
\(660\) 1.64148 0.714755i 0.0638947 0.0278218i
\(661\) 18.0796i 0.703215i 0.936148 + 0.351607i \(0.114365\pi\)
−0.936148 + 0.351607i \(0.885635\pi\)
\(662\) −27.7416 + 16.0166i −1.07821 + 0.622504i
\(663\) 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 0.370528 + 0.928821i \(0.379177\pi\)
−0.989647 + 0.143524i \(0.954157\pi\)
\(674\) 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 −0.633869 0.773441i \(-0.718534\pi\)
0.986754 + 0.162226i \(0.0518674\pi\)
\(678\) 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 0.102499 0.994733i \(-0.467316\pi\)
−0.810214 + 0.586134i \(0.800649\pi\)
\(684\) 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 −0.556833 0.830624i \(-0.687984\pi\)
0.440925 + 0.897544i \(0.354650\pi\)
\(692\) 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 \(-0.864465\pi\)
0.910711 0.413044i \(-0.135535\pi\)
\(702\) 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 \(-0.964939\pi\)
0.993940 0.109925i \(-0.0350611\pi\)
\(728\) 7.61523 5.74528i 0.282239 0.212934i
\(729\) 21.0360 + 16.9260i 0.779110 + 0.626887i
\(730\) −5.13727 8.89801i −0.190139 0.329330i
\(731\) −4.27769 −0.158216
\(732\) −5.14637 3.80396i −0.190215 0.140599i
\(733\) −24.5262 14.1602i −0.905896 0.523019i −0.0267874 0.999641i \(-0.508528\pi\)
−0.879108 + 0.476622i \(0.841861\pi\)
\(734\) 1.32070 + 2.28752i 0.0487479 + 0.0844338i
\(735\) −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 0.788285 0.615310i \(-0.210969\pi\)
−0.138732 + 0.990330i \(0.544303\pi\)
\(744\) 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 −0.924666 0.380779i \(-0.875656\pi\)
0.132569 0.991174i \(-0.457677\pi\)
\(752\) −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 −0.954592 0.297916i \(-0.903709\pi\)
0.735299 + 0.677743i \(0.237042\pi\)
\(758\) 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 −0.999981 0.00610115i \(-0.998058\pi\)
−0.505274 0.862959i \(-0.668609\pi\)
\(770\) 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 −0.947415 0.320008i \(-0.896314\pi\)
0.750843 + 0.660481i \(0.229648\pi\)
\(774\) 5.95210 + 5.53884i 0.213944 + 0.199089i
\(775\) 26.3104 + 15.1903i 0.945097 + 0.545652i