Properties

Label 384.2.w.a.11.10
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.10
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24002 + 0.679964i) q^{2} +(1.09320 - 1.34347i) q^{3} +(1.07530 - 1.68634i) q^{4} +(0.708082 + 0.378478i) q^{5} +(-0.442086 + 2.40927i) q^{6} +(-4.90117 - 0.974904i) q^{7} +(-0.186740 + 2.82226i) q^{8} +(-0.609807 - 2.93737i) q^{9} +O(q^{10})\) \(q+(-1.24002 + 0.679964i) q^{2} +(1.09320 - 1.34347i) q^{3} +(1.07530 - 1.68634i) q^{4} +(0.708082 + 0.378478i) q^{5} +(-0.442086 + 2.40927i) q^{6} +(-4.90117 - 0.974904i) q^{7} +(-0.186740 + 2.82226i) q^{8} +(-0.609807 - 2.93737i) q^{9} +(-1.13539 + 0.0121507i) q^{10} +(3.64450 - 2.99097i) q^{11} +(-1.09002 - 3.28814i) q^{12} +(1.28552 - 0.687127i) q^{13} +(6.74045 - 2.12372i) q^{14} +(1.28255 - 0.537531i) q^{15} +(-1.68747 - 3.62663i) q^{16} +(-4.17380 + 1.72885i) q^{17} +(2.75348 + 3.22775i) q^{18} +(1.43426 - 4.72812i) q^{19} +(1.39964 - 0.787089i) q^{20} +(-6.66773 + 5.51879i) q^{21} +(-2.48551 + 6.18699i) q^{22} +(-3.44961 - 2.30495i) q^{23} +(3.58746 + 3.33618i) q^{24} +(-2.41972 - 3.62136i) q^{25} +(-1.12685 + 1.72616i) q^{26} +(-4.61290 - 2.39189i) q^{27} +(-6.91423 + 7.21672i) q^{28} +(6.17167 + 5.06495i) q^{29} +(-1.22489 + 1.53864i) q^{30} +(-1.73956 + 1.73956i) q^{31} +(4.55848 + 3.34967i) q^{32} +(-0.0340770 - 8.16601i) q^{33} +(4.00004 - 4.98184i) q^{34} +(-3.10145 - 2.54529i) q^{35} +(-5.60912 - 2.13020i) q^{36} +(-1.79864 - 5.92932i) q^{37} +(1.43644 + 6.83821i) q^{38} +(0.482208 - 2.47823i) q^{39} +(-1.20039 + 1.92771i) q^{40} +(1.22041 + 0.815454i) q^{41} +(4.51554 - 11.3772i) q^{42} +(0.444604 - 4.51414i) q^{43} +(-1.12486 - 9.36204i) q^{44} +(0.679935 - 2.31070i) q^{45} +(5.84487 + 0.512578i) q^{46} +(1.80461 - 0.747495i) q^{47} +(-6.71701 - 1.69758i) q^{48} +(16.6039 + 6.87755i) q^{49} +(5.46289 + 2.84524i) q^{50} +(-2.24017 + 7.49735i) q^{51} +(0.223592 - 2.90669i) q^{52} +(-0.0938748 + 0.0770411i) q^{53} +(7.34649 - 0.170619i) q^{54} +(3.71262 - 0.738486i) q^{55} +(3.66667 - 13.6503i) q^{56} +(-4.78413 - 7.09568i) q^{57} +(-11.0970 - 2.08413i) q^{58} +(1.86261 + 0.995588i) q^{59} +(0.472664 - 2.74082i) q^{60} +(0.477164 + 4.84472i) q^{61} +(0.974250 - 3.33993i) q^{62} +(0.125118 + 14.9910i) q^{63} +(-7.93026 - 1.05405i) q^{64} +1.17032 q^{65} +(5.59485 + 10.1028i) q^{66} +(12.5418 - 1.23526i) q^{67} +(-1.57266 + 8.89747i) q^{68} +(-6.86776 + 2.11465i) q^{69} +(5.57657 + 1.04734i) q^{70} +(0.718173 + 0.142853i) q^{71} +(8.40388 - 1.17251i) q^{72} +(1.98528 + 9.98068i) q^{73} +(6.26208 + 6.12947i) q^{74} +(-7.51043 - 0.708080i) q^{75} +(-6.43095 - 7.50278i) q^{76} +(-20.7782 + 11.1062i) q^{77} +(1.08716 + 3.40094i) q^{78} +(2.91014 - 7.02569i) q^{79} +(0.177729 - 3.20662i) q^{80} +(-8.25627 + 3.58246i) q^{81} +(-2.06782 - 0.181342i) q^{82} +(-0.838345 + 2.76365i) q^{83} +(2.13676 + 17.1784i) q^{84} +(-3.60972 - 0.355527i) q^{85} +(2.51814 + 5.89994i) q^{86} +(13.5515 - 2.75440i) q^{87} +(7.76070 + 10.8443i) q^{88} +(-8.43950 - 12.6306i) q^{89} +(0.728058 + 3.32764i) q^{90} +(-6.97045 + 2.11446i) q^{91} +(-7.59629 + 3.33869i) q^{92} +(0.435347 + 4.23874i) q^{93} +(-1.72948 + 2.15398i) q^{94} +(2.80506 - 2.80506i) q^{95} +(9.48352 - 2.46229i) q^{96} +(10.1343 + 10.1343i) q^{97} +(-25.2656 + 2.76175i) q^{98} +(-11.0080 - 8.88134i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24002 + 0.679964i −0.876826 + 0.480807i
\(3\) 1.09320 1.34347i 0.631162 0.775651i
\(4\) 1.07530 1.68634i 0.537649 0.843169i
\(5\) 0.708082 + 0.378478i 0.316664 + 0.169260i 0.622070 0.782962i \(-0.286292\pi\)
−0.305406 + 0.952222i \(0.598792\pi\)
\(6\) −0.442086 + 2.40927i −0.180481 + 0.983579i
\(7\) −4.90117 0.974904i −1.85247 0.368479i −0.862078 0.506776i \(-0.830837\pi\)
−0.990391 + 0.138297i \(0.955837\pi\)
\(8\) −0.186740 + 2.82226i −0.0660225 + 0.997818i
\(9\) −0.609807 2.93737i −0.203269 0.979123i
\(10\) −1.13539 + 0.0121507i −0.359041 + 0.00384239i
\(11\) 3.64450 2.99097i 1.09886 0.901810i 0.103179 0.994663i \(-0.467098\pi\)
0.995680 + 0.0928524i \(0.0295985\pi\)
\(12\) −1.09002 3.28814i −0.314662 0.949204i
\(13\) 1.28552 0.687127i 0.356540 0.190575i −0.283396 0.959003i \(-0.591461\pi\)
0.639936 + 0.768428i \(0.278961\pi\)
\(14\) 6.74045 2.12372i 1.80146 0.567589i
\(15\) 1.28255 0.537531i 0.331153 0.138790i
\(16\) −1.68747 3.62663i −0.421868 0.906657i
\(17\) −4.17380 + 1.72885i −1.01230 + 0.419307i −0.826292 0.563242i \(-0.809554\pi\)
−0.186004 + 0.982549i \(0.559554\pi\)
\(18\) 2.75348 + 3.22775i 0.649001 + 0.760787i
\(19\) 1.43426 4.72812i 0.329042 1.08470i −0.623888 0.781514i \(-0.714448\pi\)
0.952930 0.303191i \(-0.0980521\pi\)
\(20\) 1.39964 0.787089i 0.312969 0.175999i
\(21\) −6.66773 + 5.51879i −1.45502 + 1.20430i
\(22\) −2.48551 + 6.18699i −0.529911 + 1.31907i
\(23\) −3.44961 2.30495i −0.719293 0.480616i 0.141263 0.989972i \(-0.454884\pi\)
−0.860556 + 0.509356i \(0.829884\pi\)
\(24\) 3.58746 + 3.33618i 0.732288 + 0.680995i
\(25\) −2.41972 3.62136i −0.483943 0.724272i
\(26\) −1.12685 + 1.72616i −0.220994 + 0.338528i
\(27\) −4.61290 2.39189i −0.887753 0.460319i
\(28\) −6.91423 + 7.21672i −1.30667 + 1.36383i
\(29\) 6.17167 + 5.06495i 1.14605 + 0.940538i 0.998820 0.0485639i \(-0.0154645\pi\)
0.147229 + 0.989102i \(0.452964\pi\)
\(30\) −1.22489 + 1.53864i −0.223633 + 0.280915i
\(31\) −1.73956 + 1.73956i −0.312434 + 0.312434i −0.845852 0.533418i \(-0.820907\pi\)
0.533418 + 0.845852i \(0.320907\pi\)
\(32\) 4.55848 + 3.34967i 0.805832 + 0.592144i
\(33\) −0.0340770 8.16601i −0.00593204 1.42152i
\(34\) 4.00004 4.98184i 0.686002 0.854379i
\(35\) −3.10145 2.54529i −0.524241 0.430233i
\(36\) −5.60912 2.13020i −0.934853 0.355034i
\(37\) −1.79864 5.92932i −0.295695 0.974775i −0.971369 0.237575i \(-0.923647\pi\)
0.675674 0.737200i \(-0.263853\pi\)
\(38\) 1.43644 + 6.83821i 0.233022 + 1.10930i
\(39\) 0.482208 2.47823i 0.0772151 0.396834i
\(40\) −1.20039 + 1.92771i −0.189798 + 0.304798i
\(41\) 1.22041 + 0.815454i 0.190597 + 0.127353i 0.647207 0.762314i \(-0.275937\pi\)
−0.456611 + 0.889667i \(0.650937\pi\)
\(42\) 4.51554 11.3772i 0.696763 1.75554i
\(43\) 0.444604 4.51414i 0.0678015 0.688400i −0.899865 0.436168i \(-0.856335\pi\)
0.967667 0.252232i \(-0.0811647\pi\)
\(44\) −1.12486 9.36204i −0.169579 1.41138i
\(45\) 0.679935 2.31070i 0.101359 0.344458i
\(46\) 5.84487 + 0.512578i 0.861779 + 0.0755755i
\(47\) 1.80461 0.747495i 0.263230 0.109033i −0.247166 0.968973i \(-0.579499\pi\)
0.510395 + 0.859940i \(0.329499\pi\)
\(48\) −6.71701 1.69758i −0.969517 0.245025i
\(49\) 16.6039 + 6.87755i 2.37198 + 0.982508i
\(50\) 5.46289 + 2.84524i 0.772570 + 0.402378i
\(51\) −2.24017 + 7.49735i −0.313687 + 1.04984i
\(52\) 0.223592 2.90669i 0.0310066 0.403086i
\(53\) −0.0938748 + 0.0770411i −0.0128947 + 0.0105824i −0.640819 0.767692i \(-0.721405\pi\)
0.627924 + 0.778275i \(0.283905\pi\)
\(54\) 7.34649 0.170619i 0.999730 0.0232183i
\(55\) 3.71262 0.738486i 0.500610 0.0995774i
\(56\) 3.66667 13.6503i 0.489979 1.82410i
\(57\) −4.78413 7.09568i −0.633674 0.939846i
\(58\) −11.0970 2.08413i −1.45710 0.273660i
\(59\) 1.86261 + 0.995588i 0.242492 + 0.129614i 0.588166 0.808740i \(-0.299850\pi\)
−0.345675 + 0.938354i \(0.612350\pi\)
\(60\) 0.472664 2.74082i 0.0610206 0.353838i
\(61\) 0.477164 + 4.84472i 0.0610946 + 0.620303i 0.976168 + 0.217016i \(0.0696324\pi\)
−0.915073 + 0.403287i \(0.867868\pi\)
\(62\) 0.974250 3.33993i 0.123730 0.424171i
\(63\) 0.125118 + 14.9910i 0.0157634 + 1.88869i
\(64\) −7.93026 1.05405i −0.991282 0.131757i
\(65\) 1.17032 0.145160
\(66\) 5.59485 + 10.1028i 0.688678 + 1.24357i
\(67\) 12.5418 1.23526i 1.53222 0.150911i 0.703551 0.710645i \(-0.251597\pi\)
0.828672 + 0.559734i \(0.189097\pi\)
\(68\) −1.57266 + 8.89747i −0.190713 + 1.07898i
\(69\) −6.86776 + 2.11465i −0.826781 + 0.254574i
\(70\) 5.57657 + 1.04734i 0.666527 + 0.125181i
\(71\) 0.718173 + 0.142853i 0.0852314 + 0.0169536i 0.237522 0.971382i \(-0.423665\pi\)
−0.152290 + 0.988336i \(0.548665\pi\)
\(72\) 8.40388 1.17251i 0.990407 0.138181i
\(73\) 1.98528 + 9.98068i 0.232360 + 1.16815i 0.904086 + 0.427351i \(0.140553\pi\)
−0.671726 + 0.740800i \(0.734447\pi\)
\(74\) 6.26208 + 6.12947i 0.727952 + 0.712536i
\(75\) −7.51043 0.708080i −0.867229 0.0817621i
\(76\) −6.43095 7.50278i −0.737681 0.860628i
\(77\) −20.7782 + 11.1062i −2.36790 + 1.26567i
\(78\) 1.08716 + 3.40094i 0.123097 + 0.385080i
\(79\) 2.91014 7.02569i 0.327416 0.790452i −0.671367 0.741125i \(-0.734292\pi\)
0.998783 0.0493269i \(-0.0157076\pi\)
\(80\) 0.177729 3.20662i 0.0198708 0.358511i
\(81\) −8.25627 + 3.58246i −0.917363 + 0.398051i
\(82\) −2.06782 0.181342i −0.228352 0.0200258i
\(83\) −0.838345 + 2.76365i −0.0920203 + 0.303350i −0.990854 0.134940i \(-0.956916\pi\)
0.898833 + 0.438290i \(0.144416\pi\)
\(84\) 2.13676 + 17.1784i 0.233139 + 1.87432i
\(85\) −3.60972 0.355527i −0.391529 0.0385623i
\(86\) 2.51814 + 5.89994i 0.271538 + 0.636207i
\(87\) 13.5515 2.75440i 1.45287 0.295302i
\(88\) 7.76070 + 10.8443i 0.827293 + 1.15600i
\(89\) −8.43950 12.6306i −0.894585 1.33884i −0.940464 0.339894i \(-0.889609\pi\)
0.0458787 0.998947i \(-0.485391\pi\)
\(90\) 0.728058 + 3.32764i 0.0767440 + 0.350764i
\(91\) −6.97045 + 2.11446i −0.730702 + 0.221656i
\(92\) −7.59629 + 3.33869i −0.791968 + 0.348083i
\(93\) 0.435347 + 4.23874i 0.0451433 + 0.439537i
\(94\) −1.72948 + 2.15398i −0.178383 + 0.222166i
\(95\) 2.80506 2.80506i 0.287793 0.287793i
\(96\) 9.48352 2.46229i 0.967908 0.251306i
\(97\) 10.1343 + 10.1343i 1.02898 + 1.02898i 0.999567 + 0.0294123i \(0.00936359\pi\)
0.0294123 + 0.999567i \(0.490636\pi\)
\(98\) −25.2656 + 2.76175i −2.55221 + 0.278979i
\(99\) −11.0080 8.88134i −1.10635 0.892608i
\(100\) −8.70875 + 0.186420i −0.870875 + 0.0186420i
\(101\) 4.80157 + 15.8287i 0.477774 + 1.57501i 0.782550 + 0.622587i \(0.213918\pi\)
−0.304776 + 0.952424i \(0.598582\pi\)
\(102\) −2.32007 10.8201i −0.229721 1.07135i
\(103\) 6.81145 4.55127i 0.671153 0.448450i −0.172736 0.984968i \(-0.555261\pi\)
0.843889 + 0.536518i \(0.180261\pi\)
\(104\) 1.69919 + 3.75639i 0.166619 + 0.368344i
\(105\) −6.81004 + 1.38417i −0.664592 + 0.135081i
\(106\) 0.0640214 0.159364i 0.00621831 0.0154788i
\(107\) −0.506212 + 5.13966i −0.0489374 + 0.496870i 0.939208 + 0.343349i \(0.111561\pi\)
−0.988145 + 0.153521i \(0.950939\pi\)
\(108\) −8.99377 + 5.20692i −0.865426 + 0.501036i
\(109\) −3.99316 1.21131i −0.382476 0.116023i 0.0931912 0.995648i \(-0.470293\pi\)
−0.475667 + 0.879626i \(0.657793\pi\)
\(110\) −4.10158 + 3.44019i −0.391070 + 0.328009i
\(111\) −9.93213 4.06555i −0.942716 0.385885i
\(112\) 4.73498 + 19.4199i 0.447413 + 1.83500i
\(113\) 8.97976 + 3.71954i 0.844745 + 0.349905i 0.762723 0.646726i \(-0.223862\pi\)
0.0820223 + 0.996630i \(0.473862\pi\)
\(114\) 10.7572 + 5.54574i 1.00751 + 0.519407i
\(115\) −1.57023 2.93770i −0.146425 0.273942i
\(116\) 15.1776 4.96118i 1.40920 0.460634i
\(117\) −2.80227 3.35704i −0.259070 0.310359i
\(118\) −2.98664 + 0.0319625i −0.274943 + 0.00294239i
\(119\) 22.1420 4.40431i 2.02975 0.403743i
\(120\) 1.27755 + 3.72006i 0.116624 + 0.339594i
\(121\) 2.19053 11.0125i 0.199139 1.00114i
\(122\) −3.88593 5.68310i −0.351816 0.514524i
\(123\) 2.42970 0.748127i 0.219078 0.0674563i
\(124\) 1.06294 + 4.80403i 0.0954551 + 0.431415i
\(125\) −0.736236 7.47513i −0.0658509 0.668596i
\(126\) −10.3485 18.5041i −0.921920 1.64848i
\(127\) 9.38347i 0.832649i 0.909216 + 0.416324i \(0.136682\pi\)
−0.909216 + 0.416324i \(0.863318\pi\)
\(128\) 10.5504 4.08524i 0.932532 0.361088i
\(129\) −5.57856 5.53219i −0.491165 0.487082i
\(130\) −1.45122 + 0.795774i −0.127280 + 0.0697940i
\(131\) −3.22109 + 0.317250i −0.281428 + 0.0277182i −0.237746 0.971327i \(-0.576409\pi\)
−0.0436816 + 0.999046i \(0.513909\pi\)
\(132\) −13.8073 8.72342i −1.20177 0.759276i
\(133\) −11.6390 + 21.7751i −1.00923 + 1.88814i
\(134\) −14.7121 + 10.0597i −1.27093 + 0.869027i
\(135\) −2.36104 3.43953i −0.203206 0.296028i
\(136\) −4.09983 12.1024i −0.351558 1.03777i
\(137\) −0.0793496 0.398917i −0.00677929 0.0340818i 0.977248 0.212102i \(-0.0680308\pi\)
−0.984027 + 0.178020i \(0.943031\pi\)
\(138\) 7.07827 7.29203i 0.602542 0.620739i
\(139\) 7.45017 + 9.07806i 0.631915 + 0.769991i 0.986274 0.165119i \(-0.0528008\pi\)
−0.354359 + 0.935110i \(0.615301\pi\)
\(140\) −7.62721 + 2.49315i −0.644617 + 0.210709i
\(141\) 0.968575 3.24160i 0.0815688 0.272992i
\(142\) −0.987684 + 0.311191i −0.0828846 + 0.0261146i
\(143\) 2.62992 6.34919i 0.219925 0.530946i
\(144\) −9.62371 + 7.16827i −0.801976 + 0.597356i
\(145\) 2.45307 + 5.92224i 0.203717 + 0.491815i
\(146\) −9.24830 11.0263i −0.765394 0.912545i
\(147\) 27.3912 14.7882i 2.25919 1.21971i
\(148\) −11.9329 3.34267i −0.980880 0.274766i
\(149\) 19.5682 + 1.92730i 1.60309 + 0.157891i 0.859640 0.510900i \(-0.170688\pi\)
0.743451 + 0.668790i \(0.233188\pi\)
\(150\) 9.79454 4.22879i 0.799721 0.345279i
\(151\) −3.07639 + 4.60415i −0.250353 + 0.374680i −0.935266 0.353945i \(-0.884840\pi\)
0.684913 + 0.728625i \(0.259840\pi\)
\(152\) 13.0761 + 4.93077i 1.06061 + 0.399939i
\(153\) 7.62347 + 11.2057i 0.616321 + 0.905930i
\(154\) 18.2136 27.9004i 1.46769 2.24828i
\(155\) −1.89014 + 0.573367i −0.151819 + 0.0460539i
\(156\) −3.66061 3.47800i −0.293084 0.278463i
\(157\) −1.51010 + 1.84007i −0.120519 + 0.146853i −0.829775 0.558098i \(-0.811531\pi\)
0.709256 + 0.704951i \(0.249031\pi\)
\(158\) 1.16859 + 10.6908i 0.0929683 + 0.850513i
\(159\) 0.000877752 0.210339i 6.96103e−5 0.0166810i
\(160\) 1.96000 + 4.09712i 0.154952 + 0.323906i
\(161\) 14.6600 + 14.6600i 1.15537 + 1.15537i
\(162\) 7.80199 10.0563i 0.612983 0.790096i
\(163\) 12.9619 15.7941i 1.01525 1.23709i 0.0440038 0.999031i \(-0.485989\pi\)
0.971251 0.238060i \(-0.0765114\pi\)
\(164\) 2.68744 1.18117i 0.209854 0.0922342i
\(165\) 3.06652 5.79510i 0.238728 0.451148i
\(166\) −0.839621 3.99703i −0.0651672 0.310230i
\(167\) −0.668777 + 0.446862i −0.0517515 + 0.0345793i −0.581177 0.813777i \(-0.697408\pi\)
0.529425 + 0.848357i \(0.322408\pi\)
\(168\) −14.3303 19.8486i −1.10561 1.53135i
\(169\) −6.04198 + 9.04247i −0.464768 + 0.695575i
\(170\) 4.71787 2.01362i 0.361844 0.154438i
\(171\) −14.7629 1.32971i −1.12894 0.101685i
\(172\) −7.13429 5.60380i −0.543984 0.427286i
\(173\) −14.8816 4.51427i −1.13142 0.343214i −0.331584 0.943426i \(-0.607583\pi\)
−0.799841 + 0.600212i \(0.795083\pi\)
\(174\) −14.9312 + 12.6300i −1.13193 + 0.957481i
\(175\) 8.32897 + 20.1079i 0.629611 + 1.52001i
\(176\) −16.9971 8.17009i −1.28121 0.615844i
\(177\) 3.37376 1.41398i 0.253587 0.106281i
\(178\) 19.0535 + 9.92364i 1.42812 + 0.743808i
\(179\) −4.02264 7.52583i −0.300666 0.562507i 0.685539 0.728036i \(-0.259567\pi\)
−0.986205 + 0.165529i \(0.947067\pi\)
\(180\) −3.16548 3.63128i −0.235941 0.270660i
\(181\) −12.1020 14.7464i −0.899536 1.09609i −0.994922 0.100648i \(-0.967909\pi\)
0.0953860 0.995440i \(-0.469591\pi\)
\(182\) 7.20574 7.36164i 0.534125 0.545681i
\(183\) 7.03037 + 4.65522i 0.519700 + 0.344124i
\(184\) 7.14935 9.30525i 0.527057 0.685992i
\(185\) 0.970532 4.87919i 0.0713549 0.358725i
\(186\) −3.42203 4.96010i −0.250915 0.363692i
\(187\) −10.0405 + 18.7845i −0.734236 + 1.37366i
\(188\) 0.679965 3.84696i 0.0495915 0.280569i
\(189\) 20.2768 + 16.2202i 1.47492 + 1.17985i
\(190\) −1.57099 + 5.38567i −0.113971 + 0.390718i
\(191\) 18.7244i 1.35485i 0.735592 + 0.677425i \(0.236904\pi\)
−0.735592 + 0.677425i \(0.763096\pi\)
\(192\) −10.0855 + 9.50174i −0.727857 + 0.685729i
\(193\) 20.1139i 1.44783i −0.689890 0.723914i \(-0.742341\pi\)
0.689890 0.723914i \(-0.257659\pi\)
\(194\) −19.4576 5.67575i −1.39698 0.407495i
\(195\) 1.27940 1.57228i 0.0916195 0.112594i
\(196\) 29.4520 20.6043i 2.10371 1.47174i
\(197\) 8.10093 15.1558i 0.577168 1.07980i −0.408762 0.912641i \(-0.634039\pi\)
0.985929 0.167163i \(-0.0534608\pi\)
\(198\) 19.6891 + 3.52797i 1.39925 + 0.250722i
\(199\) 0.0969210 0.487255i 0.00687055 0.0345406i −0.977198 0.212330i \(-0.931895\pi\)
0.984068 + 0.177790i \(0.0568947\pi\)
\(200\) 10.6723 6.15281i 0.754643 0.435069i
\(201\) 12.0512 18.1999i 0.850027 1.28372i
\(202\) −16.7170 16.3630i −1.17620 1.15129i
\(203\) −25.3105 30.8410i −1.77645 2.16461i
\(204\) 10.2342 + 11.8396i 0.716538 + 0.828936i
\(205\) 0.555521 + 1.03931i 0.0387993 + 0.0725884i
\(206\) −5.35164 + 10.2752i −0.372866 + 0.715908i
\(207\) −4.66691 + 11.5383i −0.324372 + 0.801971i
\(208\) −4.66124 3.50261i −0.323199 0.242862i
\(209\) −8.91448 21.5215i −0.616628 1.48867i
\(210\) 7.50340 6.34698i 0.517784 0.437983i
\(211\) −20.4361 6.19921i −1.40688 0.426771i −0.506634 0.862161i \(-0.669110\pi\)
−0.900242 + 0.435390i \(0.856610\pi\)
\(212\) 0.0289740 + 0.241147i 0.00198994 + 0.0165620i
\(213\) 0.977029 0.808673i 0.0669449 0.0554094i
\(214\) −2.86707 6.71749i −0.195989 0.459198i
\(215\) 2.02332 3.02811i 0.137989 0.206515i
\(216\) 7.61194 12.5721i 0.517927 0.855425i
\(217\) 10.2218 6.82998i 0.693900 0.463649i
\(218\) 5.77525 1.21316i 0.391149 0.0821653i
\(219\) 15.5790 + 8.24377i 1.05273 + 0.557062i
\(220\) 2.74683 7.05482i 0.185191 0.475636i
\(221\) −4.17759 + 5.09040i −0.281015 + 0.342418i
\(222\) 15.0805 1.71213i 1.01213 0.114911i
\(223\) −14.2715 14.2715i −0.955689 0.955689i 0.0433698 0.999059i \(-0.486191\pi\)
−0.999059 + 0.0433698i \(0.986191\pi\)
\(224\) −19.0763 20.8614i −1.27459 1.39386i
\(225\) −9.16171 + 9.31593i −0.610781 + 0.621062i
\(226\) −13.6642 + 1.49362i −0.908931 + 0.0993539i
\(227\) 0.944867 1.15132i 0.0627130 0.0764160i −0.740709 0.671826i \(-0.765510\pi\)
0.803422 + 0.595410i \(0.203010\pi\)
\(228\) −17.1101 + 0.437700i −1.13314 + 0.0289874i
\(229\) 17.8823 5.42455i 1.18170 0.358464i 0.362505 0.931982i \(-0.381922\pi\)
0.819193 + 0.573518i \(0.194422\pi\)
\(230\) 3.94465 + 2.57510i 0.260102 + 0.169797i
\(231\) −7.79405 + 40.0562i −0.512811 + 2.63551i
\(232\) −15.4471 + 16.4722i −1.01415 + 1.08145i
\(233\) −1.93285 + 2.89271i −0.126625 + 0.189508i −0.889365 0.457197i \(-0.848853\pi\)
0.762740 + 0.646705i \(0.223853\pi\)
\(234\) 5.75753 + 2.25736i 0.376382 + 0.147568i
\(235\) 1.56072 + 0.153718i 0.101810 + 0.0100274i
\(236\) 3.68176 2.07044i 0.239662 0.134774i
\(237\) −6.25741 11.5902i −0.406463 0.752864i
\(238\) −24.4617 + 20.5172i −1.58562 + 1.32993i
\(239\) 1.20266 + 2.90348i 0.0777936 + 0.187810i 0.957992 0.286796i \(-0.0925903\pi\)
−0.880198 + 0.474607i \(0.842590\pi\)
\(240\) −4.11369 3.74427i −0.265538 0.241691i
\(241\) 9.39345 22.6778i 0.605086 1.46081i −0.263200 0.964741i \(-0.584778\pi\)
0.868286 0.496064i \(-0.165222\pi\)
\(242\) 4.77183 + 15.1452i 0.306745 + 0.973573i
\(243\) −4.21288 + 15.0084i −0.270256 + 0.962788i
\(244\) 8.68294 + 4.40486i 0.555868 + 0.281992i
\(245\) 9.15391 + 11.1541i 0.584822 + 0.712607i
\(246\) −2.50417 + 2.57980i −0.159660 + 0.164482i
\(247\) −1.40504 7.06363i −0.0894007 0.449448i
\(248\) −4.58464 5.23433i −0.291125 0.332380i
\(249\) 2.79639 + 4.14753i 0.177214 + 0.262839i
\(250\) 5.99576 + 8.76869i 0.379205 + 0.554581i
\(251\) 1.68161 3.14608i 0.106142 0.198578i −0.823243 0.567689i \(-0.807838\pi\)
0.929386 + 0.369111i \(0.120338\pi\)
\(252\) 25.4145 + 15.9088i 1.60096 + 1.00216i
\(253\) −19.4662 + 1.91725i −1.22383 + 0.120536i
\(254\) −6.38043 11.6357i −0.400344 0.730088i
\(255\) −4.42380 + 4.46088i −0.277029 + 0.279351i
\(256\) −10.3049 + 12.2397i −0.644055 + 0.764979i
\(257\) 25.9605i 1.61937i 0.586864 + 0.809685i \(0.300362\pi\)
−0.586864 + 0.809685i \(0.699638\pi\)
\(258\) 10.6792 + 3.06681i 0.664859 + 0.190931i
\(259\) 3.03493 + 30.8141i 0.188581 + 1.91470i
\(260\) 1.25844 1.97355i 0.0780451 0.122394i
\(261\) 11.1141 21.2171i 0.687946 1.31331i
\(262\) 3.77850 2.58362i 0.233436 0.159617i
\(263\) −0.230946 + 1.16104i −0.0142407 + 0.0715929i −0.987252 0.159164i \(-0.949120\pi\)
0.973011 + 0.230757i \(0.0741202\pi\)
\(264\) 23.0529 + 1.42874i 1.41881 + 0.0879332i
\(265\) −0.0956294 + 0.0190219i −0.00587446 + 0.00116850i
\(266\) −0.373660 34.9156i −0.0229106 2.14081i
\(267\) −26.1949 2.46964i −1.60310 0.151140i
\(268\) 11.4031 22.4780i 0.696554 1.37306i
\(269\) 3.51707 + 6.57997i 0.214439 + 0.401188i 0.966025 0.258447i \(-0.0832108\pi\)
−0.751586 + 0.659635i \(0.770711\pi\)
\(270\) 5.26649 + 2.65967i 0.320508 + 0.161862i
\(271\) −4.87576 2.01961i −0.296182 0.122682i 0.229644 0.973275i \(-0.426244\pi\)
−0.525826 + 0.850592i \(0.676244\pi\)
\(272\) 13.3131 + 12.2195i 0.807223 + 0.740913i
\(273\) −4.77942 + 11.6761i −0.289264 + 0.706671i
\(274\) 0.369645 + 0.440710i 0.0223310 + 0.0266243i
\(275\) −19.6500 5.96077i −1.18494 0.359448i
\(276\) −3.81887 + 13.8552i −0.229869 + 0.833987i
\(277\) 0.753515 7.65057i 0.0452743 0.459678i −0.945643 0.325206i \(-0.894566\pi\)
0.990917 0.134472i \(-0.0429338\pi\)
\(278\) −15.4111 6.19112i −0.924297 0.371319i
\(279\) 6.17053 + 4.04893i 0.369420 + 0.242403i
\(280\) 7.76264 8.27778i 0.463906 0.494692i
\(281\) −2.86125 + 1.91183i −0.170688 + 0.114050i −0.637980 0.770053i \(-0.720230\pi\)
0.467292 + 0.884103i \(0.345230\pi\)
\(282\) 1.00312 + 4.67824i 0.0597349 + 0.278585i
\(283\) 2.07702 + 6.84701i 0.123466 + 0.407013i 0.996784 0.0801382i \(-0.0255362\pi\)
−0.873318 + 0.487151i \(0.838036\pi\)
\(284\) 1.01315 1.05747i 0.0601193 0.0627494i
\(285\) −0.702001 6.83501i −0.0415829 0.404871i
\(286\) 1.05607 + 9.66138i 0.0624467 + 0.571289i
\(287\) −5.18647 5.18647i −0.306147 0.306147i
\(288\) 7.05942 15.4326i 0.415981 0.909374i
\(289\) 2.41091 2.41091i 0.141818 0.141818i
\(290\) −7.06877 5.67569i −0.415092 0.333288i
\(291\) 24.6939 2.53623i 1.44758 0.148676i
\(292\) 18.9656 + 7.38434i 1.10988 + 0.432136i
\(293\) 20.3922 6.18591i 1.19133 0.361385i 0.368473 0.929639i \(-0.379881\pi\)
0.822853 + 0.568254i \(0.192381\pi\)
\(294\) −23.9102 + 36.9627i −1.39447 + 2.15571i
\(295\) 0.942075 + 1.40991i 0.0548497 + 0.0820884i
\(296\) 17.0699 3.96898i 0.992171 0.230693i
\(297\) −23.9658 + 5.07979i −1.39064 + 0.294759i
\(298\) −25.5755 + 10.9158i −1.48155 + 0.632335i
\(299\) −6.01835 0.592756i −0.348050 0.0342799i
\(300\) −9.27000 + 11.9037i −0.535204 + 0.687262i
\(301\) −6.57993 + 21.6911i −0.379261 + 1.25026i
\(302\) 0.684132 7.80107i 0.0393674 0.448901i
\(303\) 26.5144 + 10.8532i 1.52321 + 0.623501i
\(304\) −19.5674 + 2.77704i −1.12227 + 0.159274i
\(305\) −1.49575 + 3.61106i −0.0856463 + 0.206769i
\(306\) −17.0728 8.71164i −0.975985 0.498011i
\(307\) −7.58508 + 4.05431i −0.432904 + 0.231392i −0.673430 0.739251i \(-0.735180\pi\)
0.240527 + 0.970643i \(0.422680\pi\)
\(308\) −3.61397 + 46.9816i −0.205925 + 2.67702i
\(309\) 1.33183 14.1264i 0.0757654 0.803625i
\(310\) 1.95394 1.99621i 0.110976 0.113377i
\(311\) −2.97385 14.9505i −0.168631 0.847767i −0.968772 0.247954i \(-0.920242\pi\)
0.800140 0.599813i \(-0.204758\pi\)
\(312\) 6.90415 + 1.82370i 0.390870 + 0.103247i
\(313\) 7.33404 + 1.45883i 0.414545 + 0.0824580i 0.397956 0.917404i \(-0.369720\pi\)
0.0165882 + 0.999862i \(0.494720\pi\)
\(314\) 0.621378 3.30853i 0.0350664 0.186711i
\(315\) −5.58518 + 10.6622i −0.314689 + 0.600749i
\(316\) −8.71843 12.4622i −0.490450 0.701053i
\(317\) 0.331492 0.0326491i 0.0186185 0.00183376i −0.0887036 0.996058i \(-0.528272\pi\)
0.107322 + 0.994224i \(0.465772\pi\)
\(318\) −0.144112 0.260228i −0.00808138 0.0145929i
\(319\) 37.6418 2.10753
\(320\) −5.21633 3.74778i −0.291602 0.209507i
\(321\) 6.35157 + 6.29878i 0.354510 + 0.351564i
\(322\) −28.1470 8.21042i −1.56857 0.457549i
\(323\) 2.18787 + 22.2139i 0.121737 + 1.23601i
\(324\) −2.83671 + 17.7751i −0.157595 + 0.987504i
\(325\) −5.59894 2.99269i −0.310573 0.166005i
\(326\) −5.33357 + 28.3986i −0.295399 + 1.57286i
\(327\) −5.99270 + 4.04047i −0.331397 + 0.223438i
\(328\) −2.52932 + 3.29204i −0.139658 + 0.181773i
\(329\) −9.57344 + 1.90428i −0.527801 + 0.104986i
\(330\) 0.137913 + 9.27116i 0.00759187 + 0.510361i
\(331\) −0.959619 + 0.787539i −0.0527454 + 0.0432871i −0.660397 0.750917i \(-0.729612\pi\)
0.607651 + 0.794204i \(0.292112\pi\)
\(332\) 3.75898 + 4.38548i 0.206301 + 0.240685i
\(333\) −16.3198 + 8.89902i −0.894319 + 0.487663i
\(334\) 0.525446 1.00886i 0.0287511 0.0552025i
\(335\) 9.34813 + 3.87212i 0.510743 + 0.211557i
\(336\) 31.2662 + 14.8686i 1.70571 + 0.811148i
\(337\) 6.17272 2.55683i 0.336250 0.139279i −0.208169 0.978093i \(-0.566750\pi\)
0.544419 + 0.838814i \(0.316750\pi\)
\(338\) 1.34362 15.3212i 0.0730835 0.833362i
\(339\) 14.8138 7.99780i 0.804575 0.434381i
\(340\) −4.48106 + 5.70492i −0.243020 + 0.309393i
\(341\) −1.13687 + 11.5428i −0.0615648 + 0.625078i
\(342\) 19.2104 8.38935i 1.03878 0.453644i
\(343\) −45.5884 30.4612i −2.46154 1.64475i
\(344\) 12.6570 + 2.09776i 0.682422 + 0.113103i
\(345\) −5.66328 1.10195i −0.304901 0.0593269i
\(346\) 21.5230 4.52115i 1.15708 0.243058i
\(347\) 2.48105 + 8.17891i 0.133190 + 0.439067i 0.998013 0.0630091i \(-0.0200697\pi\)
−0.864823 + 0.502076i \(0.832570\pi\)
\(348\) 9.92704 25.8142i 0.532145 1.38379i
\(349\) 3.13619 + 2.57381i 0.167876 + 0.137773i 0.714580 0.699553i \(-0.246618\pi\)
−0.546704 + 0.837326i \(0.684118\pi\)
\(350\) −24.0007 19.2708i −1.28289 1.03007i
\(351\) −7.57353 + 0.0948180i −0.404245 + 0.00506101i
\(352\) 26.6321 1.42637i 1.41950 0.0760257i
\(353\) 7.09662 7.09662i 0.377715 0.377715i −0.492562 0.870277i \(-0.663940\pi\)
0.870277 + 0.492562i \(0.163940\pi\)
\(354\) −3.22207 + 4.04740i −0.171251 + 0.215117i
\(355\) 0.454458 + 0.372964i 0.0241201 + 0.0197949i
\(356\) −30.3744 + 0.650198i −1.60984 + 0.0344604i
\(357\) 18.2887 34.5618i 0.967939 1.82921i
\(358\) 10.1055 + 6.59693i 0.534090 + 0.348658i
\(359\) −17.8400 26.6995i −0.941560 1.40914i −0.912277 0.409574i \(-0.865677\pi\)
−0.0292835 0.999571i \(-0.509323\pi\)
\(360\) 6.39440 + 2.35045i 0.337015 + 0.123880i
\(361\) −4.50009 3.00686i −0.236847 0.158256i
\(362\) 25.0337 + 10.0568i 1.31574 + 0.528575i
\(363\) −12.4003 14.9819i −0.650846 0.786344i
\(364\) −3.92961 + 14.0282i −0.205967 + 0.735279i
\(365\) −2.37172 + 7.81852i −0.124142 + 0.409240i
\(366\) −11.8832 0.992169i −0.621143 0.0518615i
\(367\) 22.9485 9.50559i 1.19790 0.496188i 0.307582 0.951521i \(-0.400480\pi\)
0.890321 + 0.455334i \(0.150480\pi\)
\(368\) −2.53810 + 16.4000i −0.132307 + 0.854909i
\(369\) 1.65107 4.08207i 0.0859514 0.212504i
\(370\) 2.11420 + 6.71022i 0.109912 + 0.348848i
\(371\) 0.535204 0.286073i 0.0277864 0.0148521i
\(372\) 7.61607 + 3.82376i 0.394875 + 0.198253i
\(373\) 11.8629 9.73565i 0.614239 0.504093i −0.275055 0.961428i \(-0.588696\pi\)
0.889294 + 0.457336i \(0.151196\pi\)
\(374\) −0.322342 30.1203i −0.0166679 1.55749i
\(375\) −10.8474 7.18273i −0.560159 0.370915i
\(376\) 1.77263 + 5.23266i 0.0914163 + 0.269854i
\(377\) 11.4141 + 2.27040i 0.587855 + 0.116932i
\(378\) −36.1727 6.32588i −1.86052 0.325368i
\(379\) 0.269990 + 0.144312i 0.0138684 + 0.00741283i 0.478316 0.878188i \(-0.341247\pi\)
−0.464448 + 0.885600i \(0.653747\pi\)
\(380\) −1.71401 7.74655i −0.0879267 0.397390i
\(381\) 12.6064 + 10.2581i 0.645845 + 0.525536i
\(382\) −12.7319 23.2186i −0.651421 1.18797i
\(383\) −34.3138 −1.75335 −0.876676 0.481081i \(-0.840244\pi\)
−0.876676 + 0.481081i \(0.840244\pi\)
\(384\) 6.04535 18.6401i 0.308500 0.951224i
\(385\) −18.9161 −0.964056
\(386\) 13.6767 + 24.9416i 0.696126 + 1.26949i
\(387\) −13.5308 + 1.44679i −0.687810 + 0.0735445i
\(388\) 27.9872 6.19246i 1.42083 0.314374i
\(389\) −21.0758 11.2653i −1.06859 0.571172i −0.159252 0.987238i \(-0.550908\pi\)
−0.909334 + 0.416066i \(0.863408\pi\)
\(390\) −0.517381 + 2.81961i −0.0261986 + 0.142776i
\(391\) 18.3829 + 3.65659i 0.929663 + 0.184921i
\(392\) −22.5108 + 45.5761i −1.13697 + 2.30194i
\(393\) −3.09510 + 4.67425i −0.156127 + 0.235785i
\(394\) 0.260074 + 24.3018i 0.0131023 + 1.22431i
\(395\) 4.71968 3.87334i 0.237473 0.194889i
\(396\) −26.8138 + 9.01316i −1.34745 + 0.452928i
\(397\) 16.9022 9.03439i 0.848295 0.453423i 0.0108479 0.999941i \(-0.496547\pi\)
0.837447 + 0.546518i \(0.184047\pi\)
\(398\) 0.211132 + 0.670108i 0.0105831 + 0.0335895i
\(399\) 16.5302 + 39.4412i 0.827548 + 1.97453i
\(400\) −9.05013 + 14.8864i −0.452507 + 0.744318i
\(401\) 32.4969 13.4606i 1.62282 0.672193i 0.628417 0.777877i \(-0.283703\pi\)
0.994400 + 0.105684i \(0.0337031\pi\)
\(402\) −2.56848 + 30.7626i −0.128104 + 1.53430i
\(403\) −1.04095 + 3.43155i −0.0518533 + 0.170937i
\(404\) 31.8556 + 8.92344i 1.58488 + 0.443958i
\(405\) −7.20199 0.588141i −0.357870 0.0292249i
\(406\) 52.3563 + 21.0332i 2.59840 + 1.04386i
\(407\) −24.2896 16.2298i −1.20399 0.804480i
\(408\) −20.7411 7.72240i −1.02684 0.382316i
\(409\) −9.04797 13.5412i −0.447393 0.669572i 0.537395 0.843331i \(-0.319409\pi\)
−0.984788 + 0.173759i \(0.944409\pi\)
\(410\) −1.39555 0.911027i −0.0689213 0.0449924i
\(411\) −0.622678 0.329495i −0.0307144 0.0162528i
\(412\) −0.350640 16.3804i −0.0172748 0.807003i
\(413\) −8.15839 6.69541i −0.401448 0.329460i
\(414\) −2.05861 17.4811i −0.101175 0.859150i
\(415\) −1.63960 + 1.63960i −0.0804847 + 0.0804847i
\(416\) 8.16168 + 1.17383i 0.400159 + 0.0575517i
\(417\) 20.3406 0.0848820i 0.996085 0.00415669i
\(418\) 25.6880 + 20.6255i 1.25644 + 1.00883i
\(419\) −1.64414 1.34931i −0.0803213 0.0659180i 0.593376 0.804925i \(-0.297795\pi\)
−0.673697 + 0.739008i \(0.735295\pi\)
\(420\) −4.98864 + 12.9724i −0.243421 + 0.632989i
\(421\) 2.48643 + 8.19668i 0.121181 + 0.399482i 0.996453 0.0841500i \(-0.0268175\pi\)
−0.875272 + 0.483632i \(0.839317\pi\)
\(422\) 29.5564 6.20865i 1.43878 0.302232i
\(423\) −3.29613 4.84498i −0.160263 0.235571i
\(424\) −0.199899 0.279325i −0.00970797 0.0135652i
\(425\) 16.3602 + 10.9315i 0.793586 + 0.530257i
\(426\) −0.661666 + 1.66712i −0.0320578 + 0.0807720i
\(427\) 2.38448 24.2100i 0.115393 1.17160i
\(428\) 8.12288 + 6.38031i 0.392634 + 0.308404i
\(429\) −5.65489 10.4742i −0.273021 0.505698i
\(430\) −0.449948 + 5.13070i −0.0216984 + 0.247424i
\(431\) −3.37747 + 1.39899i −0.162687 + 0.0673872i −0.462541 0.886598i \(-0.653062\pi\)
0.299854 + 0.953985i \(0.403062\pi\)
\(432\) −0.890351 + 20.7655i −0.0428370 + 0.999082i
\(433\) 9.34573 + 3.87113i 0.449127 + 0.186035i 0.595770 0.803155i \(-0.296847\pi\)
−0.146643 + 0.989189i \(0.546847\pi\)
\(434\) −8.03108 + 15.4198i −0.385504 + 0.740172i
\(435\) 10.6380 + 3.17860i 0.510055 + 0.152402i
\(436\) −6.33652 + 5.43130i −0.303464 + 0.260112i
\(437\) −15.8457 + 13.0043i −0.758004 + 0.622078i
\(438\) −24.9238 + 0.370754i −1.19090 + 0.0177153i
\(439\) 13.1817 2.62201i 0.629129 0.125142i 0.129781 0.991543i \(-0.458573\pi\)
0.499349 + 0.866401i \(0.333573\pi\)
\(440\) 1.39090 + 10.6159i 0.0663087 + 0.506092i
\(441\) 10.0767 52.9657i 0.479845 2.52218i
\(442\) 1.71900 9.15281i 0.0817643 0.435355i
\(443\) −3.71119 1.98367i −0.176324 0.0942472i 0.380873 0.924627i \(-0.375623\pi\)
−0.557197 + 0.830380i \(0.688123\pi\)
\(444\) −17.5359 + 12.3773i −0.832216 + 0.587399i
\(445\) −1.19546 12.1377i −0.0566700 0.575380i
\(446\) 27.4010 + 7.99282i 1.29748 + 0.378471i
\(447\) 23.9813 24.1823i 1.13428 1.14378i
\(448\) 37.8399 + 12.8973i 1.78777 + 0.609342i
\(449\) −27.7006 −1.30727 −0.653636 0.756809i \(-0.726757\pi\)
−0.653636 + 0.756809i \(0.726757\pi\)
\(450\) 5.02620 17.7816i 0.236938 0.838232i
\(451\) 6.88680 0.678290i 0.324287 0.0319394i
\(452\) 15.9283 11.1433i 0.749205 0.524137i
\(453\) 2.82239 + 9.16631i 0.132608 + 0.430671i
\(454\) −0.388795 + 2.07014i −0.0182470 + 0.0971565i
\(455\) −5.73593 1.14095i −0.268904 0.0534884i
\(456\) 20.9192 12.1770i 0.979632 0.570240i
\(457\) −0.943793 4.74477i −0.0441488 0.221951i 0.952412 0.304813i \(-0.0985939\pi\)
−0.996561 + 0.0828620i \(0.973594\pi\)
\(458\) −18.4860 + 18.8859i −0.863792 + 0.882480i
\(459\) 23.3886 + 2.00828i 1.09168 + 0.0937384i
\(460\) −6.64241 0.510955i −0.309704 0.0238234i
\(461\) 30.2446 16.1661i 1.40863 0.752929i 0.420609 0.907242i \(-0.361816\pi\)
0.988022 + 0.154313i \(0.0493163\pi\)
\(462\) −17.5720 54.9702i −0.817525 2.55744i
\(463\) −6.90794 + 16.6773i −0.321039 + 0.775058i 0.678155 + 0.734919i \(0.262780\pi\)
−0.999194 + 0.0401385i \(0.987220\pi\)
\(464\) 7.95420 30.9293i 0.369264 1.43586i
\(465\) −1.29601 + 3.16614i −0.0601009 + 0.146826i
\(466\) 0.429829 4.90129i 0.0199115 0.227048i
\(467\) −4.38853 + 14.4671i −0.203077 + 0.669455i 0.794950 + 0.606675i \(0.207497\pi\)
−0.998027 + 0.0627808i \(0.980003\pi\)
\(468\) −8.67438 + 1.11575i −0.400973 + 0.0515756i
\(469\) −62.6737 6.17282i −2.89400 0.285034i
\(470\) −2.03985 + 0.870622i −0.0940912 + 0.0401588i
\(471\) 0.821216 + 4.04034i 0.0378397 + 0.186169i
\(472\) −3.15763 + 5.07086i −0.145342 + 0.233405i
\(473\) −11.8813 17.7816i −0.546302 0.817599i
\(474\) 15.6402 + 10.1173i 0.718380 + 0.464701i
\(475\) −20.5927 + 6.24674i −0.944859 + 0.286620i
\(476\) 16.3820 42.0748i 0.750870 1.92850i
\(477\) 0.283544 + 0.228765i 0.0129826 + 0.0104744i
\(478\) −3.46558 2.78260i −0.158512 0.127273i
\(479\) −25.0115 + 25.0115i −1.14280 + 1.14280i −0.154869 + 0.987935i \(0.549496\pi\)
−0.987935 + 0.154869i \(0.950504\pi\)
\(480\) 7.64703 + 1.84580i 0.349037 + 0.0842488i
\(481\) −6.38639 6.38639i −0.291194 0.291194i
\(482\) 3.77203 + 34.5081i 0.171811 + 1.57180i
\(483\) 35.7216 3.66885i 1.62539 0.166938i
\(484\) −16.2154 15.5357i −0.737063 0.706169i
\(485\) 3.34030 + 11.0115i 0.151675 + 0.500006i
\(486\) −4.98111 21.4753i −0.225948 0.974139i
\(487\) −27.0951 + 18.1044i −1.22780 + 0.820387i −0.988597 0.150583i \(-0.951885\pi\)
−0.239199 + 0.970971i \(0.576885\pi\)
\(488\) −13.7622 + 0.441975i −0.622984 + 0.0200073i
\(489\) −7.04887 34.6801i −0.318761 1.56829i
\(490\) −18.9354 7.60693i −0.855414 0.343646i
\(491\) −1.46186 + 14.8425i −0.0659729 + 0.669834i 0.904149 + 0.427217i \(0.140506\pi\)
−0.970122 + 0.242617i \(0.921994\pi\)
\(492\) 1.35105 4.90175i 0.0609101 0.220988i
\(493\) −34.5158 10.4703i −1.55452 0.471557i
\(494\) 6.54530 + 7.80366i 0.294487 + 0.351103i
\(495\) −4.43319 10.4550i −0.199257 0.469917i
\(496\) 9.24420 + 3.37328i 0.415077 + 0.151465i
\(497\) −3.38062 1.40030i −0.151642 0.0628120i
\(498\) −6.28775 3.24157i −0.281761 0.145258i
\(499\) 10.9427 + 20.4723i 0.489860 + 0.916464i 0.998461 + 0.0554616i \(0.0176631\pi\)
−0.508600 + 0.861003i \(0.669837\pi\)
\(500\) −13.3973 6.79644i −0.599144 0.303946i
\(501\) −0.130765 + 1.38699i −0.00584215 + 0.0619662i
\(502\) 0.0539867 + 5.04463i 0.00240954 + 0.225153i
\(503\) −12.9453 + 2.57498i −0.577202 + 0.114813i −0.475054 0.879957i \(-0.657571\pi\)
−0.102148 + 0.994769i \(0.532571\pi\)
\(504\) −42.3319 2.44631i −1.88561 0.108967i
\(505\) −2.59089 + 13.0253i −0.115293 + 0.579617i
\(506\) 22.8347 15.6137i 1.01513 0.694114i
\(507\) 5.54313 + 18.0025i 0.246179 + 0.799518i
\(508\) 15.8237 + 10.0900i 0.702063 + 0.447672i
\(509\) −1.26938 12.8882i −0.0562644 0.571262i −0.981446 0.191738i \(-0.938588\pi\)
0.925182 0.379524i \(-0.123912\pi\)
\(510\) 2.45236 8.53961i 0.108593 0.378140i
\(511\) 50.8525i 2.24958i
\(512\) 4.45571 22.1844i 0.196916 0.980420i
\(513\) −17.9252 + 18.3798i −0.791418 + 0.811486i
\(514\) −17.6522 32.1915i −0.778605 1.41991i
\(515\) 6.54562 0.644687i 0.288434 0.0284083i
\(516\) −15.3278 + 3.45858i −0.674767 + 0.152256i
\(517\) 4.34118 8.12178i 0.190925 0.357195i
\(518\) −24.7159 36.1465i −1.08595 1.58819i
\(519\) −22.3334 + 15.0579i −0.980326 + 0.660967i
\(520\) −0.218545 + 3.30294i −0.00958383 + 0.144843i
\(521\) 8.55676 + 43.0177i 0.374878 + 1.88464i 0.459418 + 0.888220i \(0.348058\pi\)
−0.0845392 + 0.996420i \(0.526942\pi\)
\(522\) 0.645154 + 33.8668i 0.0282376 + 1.48231i
\(523\) 3.36141 + 4.09590i 0.146984 + 0.179101i 0.841298 0.540571i \(-0.181792\pi\)
−0.694314 + 0.719673i \(0.744292\pi\)
\(524\) −2.92864 + 5.77299i −0.127938 + 0.252194i
\(525\) 36.1196 + 10.7924i 1.57639 + 0.471017i
\(526\) −0.503090 1.59675i −0.0219358 0.0696216i
\(527\) 4.25315 10.2680i 0.185270 0.447282i
\(528\) −29.5576 + 13.9035i −1.28633 + 0.605072i
\(529\) −2.21474 5.34685i −0.0962929 0.232472i
\(530\) 0.105648 0.0886120i 0.00458906 0.00384906i
\(531\) 1.78857 6.07830i 0.0776175 0.263776i
\(532\) 24.2047 + 43.0420i 1.04941 + 1.86611i
\(533\) 2.12919 + 0.209707i 0.0922255 + 0.00908342i
\(534\) 34.1615 14.7492i 1.47831 0.638260i
\(535\) −2.30369 + 3.44771i −0.0995970 + 0.149057i
\(536\) 1.14416 + 35.6268i 0.0494203 + 1.53884i
\(537\) −14.5083 2.82299i −0.626078 0.121821i
\(538\) −8.83538 5.76781i −0.380920 0.248668i
\(539\) 81.0834 24.5964i 3.49251 1.05944i
\(540\) −8.33903 + 0.282984i −0.358855 + 0.0121777i
\(541\) −14.0060 + 17.0664i −0.602166 + 0.733742i −0.981488 0.191523i \(-0.938657\pi\)
0.379322 + 0.925265i \(0.376157\pi\)
\(542\) 7.41930 0.810993i 0.318686 0.0348351i
\(543\) −33.0412 + 0.137882i −1.41793 + 0.00591708i
\(544\) −24.8172 6.09996i −1.06403 0.261534i
\(545\) −2.36903 2.36903i −0.101478 0.101478i
\(546\) −2.01277 17.7284i −0.0861385 0.758708i
\(547\) −16.1018 + 19.6201i −0.688464 + 0.838896i −0.993546 0.113430i \(-0.963816\pi\)
0.305082 + 0.952326i \(0.401316\pi\)
\(548\) −0.758034 0.295144i −0.0323816 0.0126079i
\(549\) 13.9398 4.35595i 0.594935 0.185908i
\(550\) 28.4195 5.96985i 1.21181 0.254555i
\(551\) 32.7995 21.9159i 1.39730 0.933649i
\(552\) −4.68559 19.7775i −0.199432 0.841785i
\(553\) −21.1125 + 31.5970i −0.897793 + 1.34364i
\(554\) 4.26774 + 9.99922i 0.181319 + 0.424826i
\(555\) −5.49404 6.63783i −0.233209 0.281760i
\(556\) 23.3198 2.80190i 0.988981 0.118827i
\(557\) −23.0401 6.98915i −0.976242 0.296140i −0.238440 0.971157i \(-0.576636\pi\)
−0.737802 + 0.675017i \(0.764136\pi\)
\(558\) −10.4047 0.825020i −0.440466 0.0349259i
\(559\) −2.53024 6.10854i −0.107018 0.258364i
\(560\) −3.99723 + 15.5429i −0.168914 + 0.656808i
\(561\) 14.2600 + 34.0244i 0.602058 + 1.43651i
\(562\) 2.24804 4.31625i 0.0948276 0.182070i
\(563\) 19.6701 + 36.8001i 0.828995 + 1.55094i 0.834535 + 0.550955i \(0.185736\pi\)
−0.00554038 + 0.999985i \(0.501764\pi\)
\(564\) −4.42493 5.11903i −0.186323 0.215550i
\(565\) 4.95064 + 6.03238i 0.208275 + 0.253784i
\(566\) −7.23127 7.07813i −0.303953 0.297516i
\(567\) 43.9579 9.50917i 1.84606 0.399348i
\(568\) −0.537280 + 2.00019i −0.0225438 + 0.0839262i
\(569\) −1.36632 + 6.86893i −0.0572789 + 0.287961i −0.998799 0.0489964i \(-0.984398\pi\)
0.941520 + 0.336957i \(0.109398\pi\)
\(570\) 5.51806 + 7.99821i 0.231126 + 0.335008i
\(571\) −16.5222 + 30.9108i −0.691431 + 1.29358i 0.253826 + 0.967250i \(0.418311\pi\)
−0.945257 + 0.326327i \(0.894189\pi\)
\(572\) −7.87894 11.2622i −0.329435 0.470897i
\(573\) 25.1556 + 20.4696i 1.05089 + 0.855129i
\(574\) 9.95793 + 2.90471i 0.415636 + 0.121240i
\(575\) 18.0696i 0.753555i
\(576\) 1.73978 + 23.9369i 0.0724908 + 0.997369i
\(577\) 22.8727i 0.952203i 0.879390 + 0.476102i \(0.157951\pi\)
−0.879390 + 0.476102i \(0.842049\pi\)
\(578\) −1.35024 + 4.62891i −0.0561627 + 0.192537i
\(579\) −27.0223 21.9886i −1.12301 0.913814i
\(580\) 12.6247 + 2.23146i 0.524211 + 0.0926563i
\(581\) 6.80317 12.7278i 0.282243 0.528039i
\(582\) −28.8964 + 19.9359i −1.19779 + 0.826371i
\(583\) −0.111700 + 0.561553i −0.00462613 + 0.0232571i
\(584\) −28.5388 + 3.73918i −1.18094 + 0.154728i
\(585\) −0.713668 3.43766i −0.0295066 0.142130i
\(586\) −21.0805 + 21.5366i −0.870829 + 0.889670i
\(587\) −3.37150 4.10818i −0.139157 0.169563i 0.698769 0.715348i \(-0.253732\pi\)
−0.837925 + 0.545785i \(0.816232\pi\)
\(588\) 4.51579 62.0925i 0.186228 2.56065i
\(589\) 5.72987 + 10.7198i 0.236095 + 0.441703i
\(590\) −2.12688 1.10774i −0.0875624 0.0456051i
\(591\) −11.5053 27.4517i −0.473265 1.12921i
\(592\) −18.4683 + 16.5286i −0.759043 + 0.679320i
\(593\) −0.711508 1.71773i −0.0292181 0.0705388i 0.908597 0.417674i \(-0.137155\pi\)
−0.937815 + 0.347135i \(0.887155\pi\)
\(594\) 26.2640 22.5949i 1.07762 0.927081i
\(595\) 17.3453 + 5.26163i 0.711087 + 0.215706i
\(596\) 24.2917 30.9262i 0.995028 1.26679i
\(597\) −0.548656 0.662879i −0.0224550 0.0271298i
\(598\) 7.86592 3.35723i 0.321662 0.137288i
\(599\) 12.9172 19.3320i 0.527783 0.789883i −0.467794 0.883838i \(-0.654951\pi\)
0.995576 + 0.0939550i \(0.0299510\pi\)
\(600\) 3.40088 21.0641i 0.138840 0.859939i
\(601\) 20.8951 13.9617i 0.852329 0.569508i −0.0508818 0.998705i \(-0.516203\pi\)
0.903211 + 0.429196i \(0.141203\pi\)
\(602\) −6.58995 31.3716i −0.268586 1.27861i
\(603\) −11.2765 36.0866i −0.459214 1.46956i
\(604\) 4.45611 + 10.1387i 0.181317 + 0.412536i
\(605\) 5.71907 6.96871i 0.232513 0.283318i
\(606\) −40.2582 + 4.57064i −1.63538 + 0.185670i
\(607\) −17.3030 17.3030i −0.702309 0.702309i 0.262597 0.964906i \(-0.415421\pi\)
−0.964906 + 0.262597i \(0.915421\pi\)
\(608\) 22.3757 16.7487i 0.907453 0.679251i
\(609\) −69.1035 + 0.288371i −2.80021 + 0.0116854i
\(610\) −0.600632 5.49484i −0.0243189 0.222479i
\(611\) 1.80625 2.20092i 0.0730730 0.0890397i
\(612\) 27.0942 0.806257i 1.09522 0.0325910i
\(613\) 23.0840 7.00244i 0.932352 0.282826i 0.212666 0.977125i \(-0.431785\pi\)
0.719687 + 0.694299i \(0.244285\pi\)
\(614\) 6.64886 10.1850i 0.268326 0.411034i
\(615\) 2.00357 + 0.389851i 0.0807919 + 0.0157203i
\(616\) −27.4644 60.7155i −1.10657 2.44630i
\(617\) −1.14469 + 1.71316i −0.0460836 + 0.0689690i −0.853796 0.520608i \(-0.825705\pi\)
0.807712 + 0.589577i \(0.200705\pi\)
\(618\) 7.95397 + 18.4227i 0.319956 + 0.741068i
\(619\) 22.2381 + 2.19026i 0.893825 + 0.0880341i 0.534490 0.845175i \(-0.320504\pi\)
0.359335 + 0.933209i \(0.383004\pi\)
\(620\) −1.06557 + 3.80395i −0.0427942 + 0.152770i
\(621\) 10.3995 + 18.8836i 0.417318 + 0.757773i
\(622\) 13.8535 + 16.5169i 0.555473 + 0.662265i
\(623\) 29.0498 + 70.1324i 1.16386 + 2.80980i
\(624\) −9.80133 + 2.43315i −0.392367 + 0.0974040i
\(625\) −6.02580 + 14.5476i −0.241032 + 0.581902i
\(626\) −10.0863 + 3.17791i −0.403130 + 0.127015i
\(627\) −38.6587 11.5511i −1.54388 0.461305i
\(628\) 1.47916 + 4.52516i 0.0590251 + 0.180574i
\(629\) 17.7581 + 21.6383i 0.708060 + 0.862774i
\(630\) −0.324209 17.0191i −0.0129168 0.678058i
\(631\) 1.69905 + 8.54168i 0.0676380 + 0.340039i 0.999755 0.0221172i \(-0.00704070\pi\)
−0.932117 + 0.362156i \(0.882041\pi\)
\(632\) 19.2849 + 9.52513i 0.767111 + 0.378889i
\(633\) −30.6692 + 20.6782i −1.21899 + 0.821883i
\(634\) −0.388857 + 0.265889i −0.0154435 + 0.0105598i
\(635\) −3.55143 + 6.64427i −0.140934 + 0.263670i
\(636\) 0.355647 + 0.224697i 0.0141023 + 0.00890982i
\(637\) 26.0704 2.56771i 1.03295 0.101737i
\(638\) −46.6765 + 25.5951i −1.84794 + 1.01332i
\(639\) −0.0183337 2.19665i −0.000725270 0.0868982i
\(640\) 9.01671 + 1.10040i 0.356417 + 0.0434972i
\(641\) 18.7356i 0.740011i −0.929030 0.370005i \(-0.879356\pi\)
0.929030 0.370005i \(-0.120644\pi\)
\(642\) −12.1590 3.49177i −0.479878 0.137809i
\(643\) −1.17714 11.9517i −0.0464219 0.471330i −0.990090 0.140436i \(-0.955150\pi\)
0.943668 0.330894i \(-0.107350\pi\)
\(644\) 40.4856 8.95787i 1.59536 0.352989i
\(645\) −1.85626 6.02860i −0.0730903 0.237376i
\(646\) −17.8176 26.0579i −0.701025 1.02524i
\(647\) −0.371953 + 1.86993i −0.0146230 + 0.0735146i −0.987408 0.158196i \(-0.949432\pi\)
0.972785 + 0.231711i \(0.0744322\pi\)
\(648\) −8.56884 23.9703i −0.336616 0.941642i
\(649\) 9.76607 1.94259i 0.383352 0.0762534i
\(650\) 8.97772 0.0960779i 0.352135 0.00376849i
\(651\) 1.99865 21.1992i 0.0783334 0.830862i
\(652\) −12.6963 38.8415i −0.497227 1.52115i
\(653\) −9.70930 18.1648i −0.379954 0.710844i 0.617154 0.786843i \(-0.288286\pi\)
−0.997108 + 0.0759983i \(0.975786\pi\)
\(654\) 4.68369 9.08508i 0.183147 0.355255i
\(655\) −2.40087 0.994472i −0.0938097 0.0388572i
\(656\) 0.897936 5.80204i 0.0350585 0.226532i
\(657\) 28.1063 11.9178i 1.09653 0.464957i
\(658\) 10.5764 8.87094i 0.412312 0.345825i
\(659\) 41.5149 + 12.5934i 1.61719 + 0.490569i 0.963839 0.266486i \(-0.0858626\pi\)
0.653351 + 0.757055i \(0.273363\pi\)
\(660\) −6.47507 11.4026i −0.252042 0.443847i
\(661\) −0.712737 + 7.23654i −0.0277223 + 0.281469i 0.971322 + 0.237767i \(0.0764153\pi\)
−0.999045 + 0.0437024i \(0.986085\pi\)
\(662\) 0.654448 1.62907i 0.0254359 0.0633156i
\(663\) 2.27183 + 11.1773i 0.0882307 + 0.434091i
\(664\) −7.64318 2.88211i −0.296613 0.111847i
\(665\) −16.4827 + 11.0134i −0.639173 + 0.427082i
\(666\) 14.1858 22.1318i 0.549690 0.857591i
\(667\) −9.61534 31.6975i −0.372307 1.22733i
\(668\) 0.0344273 + 1.60829i 0.00133203 + 0.0622268i
\(669\) −34.7749 + 3.57162i −1.34448 + 0.138087i
\(670\) −14.2248 + 1.55489i −0.549551 + 0.0600705i
\(671\) 16.2294 + 16.2294i 0.626530 + 0.626530i
\(672\) −48.8808 + 2.82258i −1.88562 + 0.108883i
\(673\) 16.1056 16.1056i 0.620827 0.620827i −0.324916 0.945743i \(-0.605336\pi\)
0.945743 + 0.324916i \(0.105336\pi\)
\(674\) −5.91575 + 7.36775i −0.227866 + 0.283795i
\(675\) 2.50002 + 22.4927i 0.0962258 + 0.865744i
\(676\) 8.75173 + 19.9122i 0.336605 + 0.765853i
\(677\) −6.59259 + 1.99984i −0.253374 + 0.0768601i −0.414417 0.910087i \(-0.636014\pi\)
0.161043 + 0.986947i \(0.448514\pi\)
\(678\) −12.9312 + 19.9903i −0.496619 + 0.767722i
\(679\) −39.7899 59.5498i −1.52700 2.28531i
\(680\) 1.67747 10.1212i 0.0643279 0.388129i
\(681\) −0.513832 2.52803i −0.0196901 0.0968743i
\(682\) −6.43896 15.0863i −0.246560 0.577686i
\(683\) 1.65727 + 0.163226i 0.0634135 + 0.00624568i 0.129674 0.991557i \(-0.458607\pi\)
−0.0662606 + 0.997802i \(0.521107\pi\)
\(684\) −18.1168 + 23.4653i −0.692713 + 0.897219i
\(685\) 0.0947953 0.312498i 0.00362194 0.0119399i
\(686\) 77.2431 + 6.77400i 2.94915 + 0.258632i
\(687\) 12.2614 29.9545i 0.467800 1.14283i
\(688\) −17.1214 + 6.00508i −0.652746 + 0.228941i
\(689\) −0.0677413 + 0.163542i −0.00258074 + 0.00623045i
\(690\) 7.77186 2.48439i 0.295870 0.0945791i
\(691\) −8.32742 + 4.45110i −0.316790 + 0.169328i −0.622127 0.782917i \(-0.713731\pi\)
0.305336 + 0.952245i \(0.401231\pi\)
\(692\) −23.6147 + 20.2412i −0.897696 + 0.769454i
\(693\) 45.2937 + 54.2607i 1.72057 + 2.06119i
\(694\) −8.63791 8.45499i −0.327891 0.320947i
\(695\) 1.83949 + 9.24773i 0.0697757 + 0.350786i
\(696\) 5.24301 + 38.7601i 0.198736 + 1.46920i
\(697\) −6.50356 1.29364i −0.246340 0.0490001i
\(698\) −5.63903 1.05907i −0.213441 0.0400864i
\(699\) 1.77327 + 5.75905i 0.0670710 + 0.217827i
\(700\) 42.8648 + 7.57652i 1.62014 + 0.286365i
\(701\) −19.9905 + 1.96889i −0.755029 + 0.0743639i −0.468206 0.883620i \(-0.655099\pi\)
−0.286824 + 0.957983i \(0.592599\pi\)
\(702\) 9.32685 5.26730i 0.352019 0.198802i
\(703\) −30.6143 −1.15464
\(704\) −32.0545 + 19.8776i −1.20810 + 0.749166i
\(705\) 1.91270 1.92873i 0.0720366 0.0726403i
\(706\) −3.97450 + 13.6254i −0.149582 + 0.512799i
\(707\) −8.10191 82.2601i −0.304704 3.09371i
\(708\) 1.24334 7.20974i 0.0467278 0.270959i
\(709\) 5.01820 + 2.68228i 0.188463 + 0.100735i 0.562929 0.826505i \(-0.309674\pi\)
−0.374467 + 0.927240i \(0.622174\pi\)
\(710\) −0.817140 0.153468i −0.0306667 0.00575954i
\(711\) −22.4117 4.26383i −0.840504 0.159906i
\(712\) 37.2228 21.4598i 1.39498 0.804240i
\(713\) 10.0104 1.99119i 0.374893 0.0745708i
\(714\) 0.822511 + 55.2930i 0.0307817 + 2.06929i
\(715\) 4.26523 3.50038i 0.159510 0.130907i
\(716\) −17.0166 1.30897i −0.635941 0.0489186i
\(717\) 5.21548 + 1.55836i 0.194776 + 0.0581981i
\(718\) 40.2767 + 20.9773i 1.50311 + 0.782866i
\(719\) −37.4970 15.5318i −1.39840 0.579237i −0.449065 0.893499i \(-0.648243\pi\)
−0.949336 + 0.314263i \(0.898243\pi\)
\(720\) −9.52741 + 1.43336i −0.355065 + 0.0534183i
\(721\) −37.8211 + 15.6660i −1.40853 + 0.583434i
\(722\) 7.62475 + 0.668669i 0.283764 + 0.0248853i
\(723\) −20.1979 37.4113i −0.751168 1.39134i
\(724\) −37.8806 + 4.55139i −1.40782 + 0.169151i
\(725\) 3.40835 34.6056i 0.126583 1.28522i
\(726\) 25.5637 + 10.1461i 0.948759 + 0.376555i
\(727\) 5.35549 + 3.57842i 0.198624 + 0.132716i 0.650905 0.759159i \(-0.274390\pi\)
−0.452281 + 0.891876i \(0.649390\pi\)
\(728\) −4.66590 20.0673i −0.172930 0.743742i
\(729\) 15.5577 + 22.0671i 0.576212 + 0.817300i
\(730\) −2.37533 11.3078i −0.0879150 0.418521i
\(731\) 5.94857 + 19.6098i 0.220016 + 0.725294i
\(732\) 15.4100 6.84983i 0.569570 0.253177i
\(733\) 27.1321 + 22.2667i 1.00215 + 0.822441i 0.984139 0.177397i \(-0.0567676\pi\)
0.0180078 + 0.999838i \(0.494268\pi\)
\(734\) −21.9932 + 27.3913i −0.811782 + 1.01103i
\(735\) 24.9922 0.104293i 0.921852 0.00384691i
\(736\) −8.00412 22.0621i −0.295036 0.813221i
\(737\) 42.0140 42.0140i 1.54760 1.54760i
\(738\) 0.728302 + 6.18452i 0.0268092 + 0.227655i
\(739\) 19.2065 + 15.7624i 0.706524 + 0.579829i 0.917535 0.397654i \(-0.130176\pi\)
−0.211011 + 0.977484i \(0.567676\pi\)
\(740\) −7.18436 6.88323i −0.264102 0.253032i
\(741\) −11.0258 5.83436i −0.405041 0.214331i
\(742\) −0.469144 + 0.718655i −0.0172228 + 0.0263827i
\(743\) 27.5083 + 41.1691i 1.00918 + 1.51035i 0.852520 + 0.522694i \(0.175073\pi\)
0.156661 + 0.987652i \(0.449927\pi\)
\(744\) −12.0441 + 0.437118i −0.441558 + 0.0160255i
\(745\) 13.1265 + 8.77082i 0.480916 + 0.321338i
\(746\) −8.09036 + 20.1388i −0.296209 + 0.737332i
\(747\) 8.62910 + 0.777233i 0.315722 + 0.0284375i
\(748\) 20.8805 + 37.1306i 0.763465 + 1.35763i
\(749\) 7.49171 24.6968i 0.273741 0.902403i
\(750\) 18.3350 + 1.53086i 0.669501 + 0.0558990i
\(751\) 1.18175 0.489496i 0.0431226 0.0178620i −0.361018 0.932559i \(-0.617571\pi\)
0.404140 + 0.914697i \(0.367571\pi\)
\(752\) −5.75612 5.28328i −0.209904 0.192661i
\(753\) −2.38830 5.69849i −0.0870346 0.207665i
\(754\) −15.6975 + 4.94583i −0.571669 + 0.180116i
\(755\) −3.92090 + 2.09577i −0.142696 + 0.0762728i
\(756\) 49.1563 16.7519i 1.78780 0.609262i
\(757\) 28.4323 23.3338i 1.03339 0.848082i 0.0448436 0.998994i \(-0.485721\pi\)
0.988547 + 0.150912i \(0.0482210\pi\)
\(758\) −0.432920 + 0.00463303i −0.0157243 + 0.000168279i
\(759\) −18.7047 + 28.2481i −0.678939 + 1.02534i
\(760\) 7.39278 + 8.44041i 0.268164 + 0.306166i
\(761\) −22.1365 4.40323i −0.802448 0.159617i −0.223205 0.974772i \(-0.571652\pi\)
−0.579243 + 0.815155i \(0.696652\pi\)
\(762\) −22.6073 4.14830i −0.818975 0.150277i
\(763\) 18.3903 + 9.82980i 0.665772 + 0.355863i
\(764\) 31.5756 + 20.1343i 1.14237 + 0.728433i
\(765\) 1.15692 + 10.8199i 0.0418286 + 0.391194i
\(766\) 42.5498 23.3322i 1.53739 0.843025i
\(767\) 3.07853 0.111159
\(768\) 5.17826 + 27.2247i 0.186854 + 0.982388i
\(769\) 27.4054 0.988264 0.494132 0.869387i \(-0.335486\pi\)
0.494132 + 0.869387i \(0.335486\pi\)
\(770\) 23.4564 12.8623i 0.845309 0.463525i
\(771\) 34.8771 + 28.3801i 1.25607 + 1.02209i
\(772\) −33.9188 21.6284i −1.22076 0.778423i
\(773\) 19.6604 + 10.5087i 0.707137 + 0.377973i