Properties

Label 384.2.v.a.13.8
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.8
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.06073 - 0.935332i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(0.250309 + 1.98427i) q^{4} +(-0.385901 - 3.91812i) q^{5} +(-0.587142 + 1.28657i) q^{6} +(-2.38112 + 3.56360i) q^{7} +(1.59044 - 2.33891i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-1.06073 - 0.935332i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(0.250309 + 1.98427i) q^{4} +(-0.385901 - 3.91812i) q^{5} +(-0.587142 + 1.28657i) q^{6} +(-2.38112 + 3.56360i) q^{7} +(1.59044 - 2.33891i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(-3.25540 + 4.51703i) q^{10} +(-5.30688 + 2.83658i) q^{11} +(1.82617 - 0.815535i) q^{12} +(2.04975 + 0.201883i) q^{13} +(5.85888 - 1.55289i) q^{14} +(-3.63739 + 1.50666i) q^{15} +(-3.87469 + 0.993364i) q^{16} +(-1.75009 - 0.724912i) q^{17} +(1.40161 + 0.188388i) q^{18} +(3.42826 - 2.81350i) q^{19} +(7.67803 - 1.74648i) q^{20} +(4.10136 + 1.24413i) q^{21} +(8.28232 + 1.95483i) q^{22} +(-0.247363 + 1.24358i) q^{23} +(-2.69988 - 0.843011i) q^{24} +(-10.2988 + 2.04856i) q^{25} +(-1.98541 - 2.13134i) q^{26} +(0.773010 + 0.634393i) q^{27} +(-7.66718 - 3.83280i) q^{28} +(-2.41573 + 4.51951i) q^{29} +(5.26752 + 1.80400i) q^{30} +(-4.26568 + 4.26568i) q^{31} +(5.03914 + 2.57043i) q^{32} +(4.25495 + 4.25495i) q^{33} +(1.17835 + 2.40586i) q^{34} +(14.8815 + 7.95433i) q^{35} +(-1.31053 - 1.51080i) q^{36} +(-1.72240 + 2.09874i) q^{37} +(-6.26802 - 0.222187i) q^{38} +(-0.401822 - 2.02009i) q^{39} +(-9.77788 - 5.32896i) q^{40} +(2.36639 + 0.470705i) q^{41} +(-3.18677 - 5.15582i) q^{42} +(2.56696 - 8.46214i) q^{43} +(-6.95692 - 9.82027i) q^{44} +(2.49766 + 3.04340i) q^{45} +(1.42554 - 1.08774i) q^{46} +(-2.96974 + 7.16958i) q^{47} +(2.07535 + 3.41949i) q^{48} +(-4.35073 - 10.5036i) q^{49} +(12.8404 + 7.45984i) q^{50} +(-0.185673 + 1.88517i) q^{51} +(0.112481 + 4.11780i) q^{52} +(-1.42695 - 2.66964i) q^{53} +(-0.226590 - 1.39594i) q^{54} +(13.1620 + 19.6983i) q^{55} +(4.54789 + 11.2369i) q^{56} +(-3.68752 - 2.46392i) q^{57} +(6.78969 - 2.53449i) q^{58} +(-5.09931 + 0.502238i) q^{59} +(-3.90009 - 6.84044i) q^{60} +(-9.81634 + 2.97775i) q^{61} +(8.51456 - 0.534921i) q^{62} -4.28591i q^{63} +(-2.94098 - 7.43980i) q^{64} -8.10908i q^{65} +(-0.533576 - 8.49315i) q^{66} +(4.02627 - 1.22136i) q^{67} +(1.00036 - 3.65412i) q^{68} +(1.26183 - 0.124280i) q^{69} +(-8.34536 - 22.3566i) q^{70} +(-11.6047 - 7.75400i) q^{71} +(-0.0229781 + 2.82833i) q^{72} +(1.68904 + 2.52783i) q^{73} +(3.79002 - 0.615197i) q^{74} +(4.94995 + 9.26070i) q^{75} +(6.44088 + 6.09836i) q^{76} +(2.52786 - 25.6658i) q^{77} +(-1.46323 + 2.51862i) q^{78} +(-4.52669 - 10.9284i) q^{79} +(5.38737 + 14.7982i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-2.06985 - 2.71266i) q^{82} +(0.813545 + 0.991307i) q^{83} +(-1.44209 + 8.44964i) q^{84} +(-2.16493 + 7.13682i) q^{85} +(-10.6378 + 6.57511i) q^{86} +(5.02615 + 0.999764i) q^{87} +(-1.80578 + 16.9237i) q^{88} +(-0.287119 - 1.44344i) q^{89} +(0.197245 - 5.56438i) q^{90} +(-5.60014 + 6.82379i) q^{91} +(-2.52951 - 0.179557i) q^{92} +(5.32026 + 2.84374i) q^{93} +(9.85604 - 4.82732i) q^{94} +(-12.3466 - 12.3466i) q^{95} +(0.996961 - 5.56831i) q^{96} +(3.16976 - 3.16976i) q^{97} +(-5.20938 + 15.2109i) q^{98} +(2.83658 - 5.30688i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.06073 0.935332i −0.750052 0.661379i
\(3\) −0.290285 0.956940i −0.167596 0.552490i
\(4\) 0.250309 + 1.98427i 0.125155 + 0.992137i
\(5\) −0.385901 3.91812i −0.172580 1.75224i −0.558317 0.829628i \(-0.688553\pi\)
0.385736 0.922609i \(-0.373947\pi\)
\(6\) −0.587142 + 1.28657i −0.239700 + 0.525240i
\(7\) −2.38112 + 3.56360i −0.899980 + 1.34691i 0.0376543 + 0.999291i \(0.488011\pi\)
−0.937634 + 0.347624i \(0.886989\pi\)
\(8\) 1.59044 2.33891i 0.562307 0.826929i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) −3.25540 + 4.51703i −1.02945 + 1.42841i
\(11\) −5.30688 + 2.83658i −1.60008 + 0.855262i −0.601682 + 0.798736i \(0.705503\pi\)
−0.998401 + 0.0565264i \(0.981997\pi\)
\(12\) 1.82617 0.815535i 0.527170 0.235425i
\(13\) 2.04975 + 0.201883i 0.568499 + 0.0559922i 0.378183 0.925731i \(-0.376549\pi\)
0.190315 + 0.981723i \(0.439049\pi\)
\(14\) 5.85888 1.55289i 1.56585 0.415027i
\(15\) −3.63739 + 1.50666i −0.939169 + 0.389017i
\(16\) −3.87469 + 0.993364i −0.968673 + 0.248341i
\(17\) −1.75009 0.724912i −0.424460 0.175817i 0.160220 0.987081i \(-0.448780\pi\)
−0.584680 + 0.811264i \(0.698780\pi\)
\(18\) 1.40161 + 0.188388i 0.330363 + 0.0444035i
\(19\) 3.42826 2.81350i 0.786496 0.645461i −0.152921 0.988238i \(-0.548868\pi\)
0.939416 + 0.342778i \(0.111368\pi\)
\(20\) 7.67803 1.74648i 1.71686 0.390524i
\(21\) 4.10136 + 1.24413i 0.894990 + 0.271492i
\(22\) 8.28232 + 1.95483i 1.76580 + 0.416771i
\(23\) −0.247363 + 1.24358i −0.0515787 + 0.259304i −0.997967 0.0637264i \(-0.979701\pi\)
0.946389 + 0.323030i \(0.104701\pi\)
\(24\) −2.69988 0.843011i −0.551110 0.172079i
\(25\) −10.2988 + 2.04856i −2.05977 + 0.409713i
\(26\) −1.98541 2.13134i −0.389371 0.417990i
\(27\) 0.773010 + 0.634393i 0.148766 + 0.122089i
\(28\) −7.66718 3.83280i −1.44896 0.724331i
\(29\) −2.41573 + 4.51951i −0.448590 + 0.839252i 0.551398 + 0.834242i \(0.314095\pi\)
−0.999987 + 0.00500979i \(0.998405\pi\)
\(30\) 5.26752 + 1.80400i 0.961713 + 0.329365i
\(31\) −4.26568 + 4.26568i −0.766138 + 0.766138i −0.977424 0.211286i \(-0.932235\pi\)
0.211286 + 0.977424i \(0.432235\pi\)
\(32\) 5.03914 + 2.57043i 0.890802 + 0.454392i
\(33\) 4.25495 + 4.25495i 0.740691 + 0.740691i
\(34\) 1.17835 + 2.40586i 0.202085 + 0.412601i
\(35\) 14.8815 + 7.95433i 2.51543 + 1.34453i
\(36\) −1.31053 1.51080i −0.218421 0.251800i
\(37\) −1.72240 + 2.09874i −0.283160 + 0.345031i −0.895094 0.445877i \(-0.852892\pi\)
0.611934 + 0.790909i \(0.290392\pi\)
\(38\) −6.26802 0.222187i −1.01681 0.0360435i
\(39\) −0.401822 2.02009i −0.0643429 0.323474i
\(40\) −9.77788 5.32896i −1.54602 0.842583i
\(41\) 2.36639 + 0.470705i 0.369569 + 0.0735118i 0.376381 0.926465i \(-0.377168\pi\)
−0.00681215 + 0.999977i \(0.502168\pi\)
\(42\) −3.18677 5.15582i −0.491729 0.795561i
\(43\) 2.56696 8.46214i 0.391458 1.29046i −0.510960 0.859604i \(-0.670710\pi\)
0.902419 0.430860i \(-0.141790\pi\)
\(44\) −6.95692 9.82027i −1.04880 1.48046i
\(45\) 2.49766 + 3.04340i 0.372329 + 0.453684i
\(46\) 1.42554 1.08774i 0.210185 0.160378i
\(47\) −2.96974 + 7.16958i −0.433181 + 1.04579i 0.545075 + 0.838388i \(0.316501\pi\)
−0.978255 + 0.207404i \(0.933499\pi\)
\(48\) 2.07535 + 3.41949i 0.299551 + 0.493561i
\(49\) −4.35073 10.5036i −0.621533 1.50051i
\(50\) 12.8404 + 7.45984i 1.81591 + 1.05498i
\(51\) −0.185673 + 1.88517i −0.0259994 + 0.263976i
\(52\) 0.112481 + 4.11780i 0.0155982 + 0.571036i
\(53\) −1.42695 2.66964i −0.196007 0.366704i 0.764648 0.644448i \(-0.222913\pi\)
−0.960655 + 0.277745i \(0.910413\pi\)
\(54\) −0.226590 1.39594i −0.0308349 0.189964i
\(55\) 13.1620 + 19.6983i 1.77476 + 2.65612i
\(56\) 4.54789 + 11.2369i 0.607738 + 1.50160i
\(57\) −3.68752 2.46392i −0.488424 0.326354i
\(58\) 6.78969 2.53449i 0.891530 0.332794i
\(59\) −5.09931 + 0.502238i −0.663874 + 0.0653858i −0.424341 0.905502i \(-0.639494\pi\)
−0.239533 + 0.970888i \(0.576994\pi\)
\(60\) −3.90009 6.84044i −0.503499 0.883098i
\(61\) −9.81634 + 2.97775i −1.25685 + 0.381262i −0.847344 0.531044i \(-0.821800\pi\)
−0.409509 + 0.912306i \(0.634300\pi\)
\(62\) 8.51456 0.534921i 1.08135 0.0679351i
\(63\) 4.28591i 0.539974i
\(64\) −2.94098 7.43980i −0.367622 0.929975i
\(65\) 8.10908i 1.00581i
\(66\) −0.533576 8.49315i −0.0656787 1.04543i
\(67\) 4.02627 1.22136i 0.491887 0.149212i −0.0345899 0.999402i \(-0.511013\pi\)
0.526477 + 0.850189i \(0.323513\pi\)
\(68\) 1.00036 3.65412i 0.121312 0.443127i
\(69\) 1.26183 0.124280i 0.151907 0.0149615i
\(70\) −8.34536 22.3566i −0.997462 2.67212i
\(71\) −11.6047 7.75400i −1.37722 0.920231i −0.377240 0.926116i \(-0.623127\pi\)
−0.999983 + 0.00588476i \(0.998127\pi\)
\(72\) −0.0229781 + 2.82833i −0.00270799 + 0.333322i
\(73\) 1.68904 + 2.52783i 0.197687 + 0.295860i 0.917048 0.398777i \(-0.130565\pi\)
−0.719361 + 0.694637i \(0.755565\pi\)
\(74\) 3.79002 0.615197i 0.440581 0.0715152i
\(75\) 4.94995 + 9.26070i 0.571570 + 1.06933i
\(76\) 6.44088 + 6.09836i 0.738819 + 0.699530i
\(77\) 2.52786 25.6658i 0.288077 2.92489i
\(78\) −1.46323 + 2.51862i −0.165678 + 0.285177i
\(79\) −4.52669 10.9284i −0.509292 1.22954i −0.944292 0.329109i \(-0.893252\pi\)
0.435000 0.900431i \(-0.356748\pi\)
\(80\) 5.38737 + 14.7982i 0.602326 + 1.65449i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −2.06985 2.71266i −0.228576 0.299563i
\(83\) 0.813545 + 0.991307i 0.0892981 + 0.108810i 0.815743 0.578415i \(-0.196329\pi\)
−0.726444 + 0.687225i \(0.758829\pi\)
\(84\) −1.44209 + 8.44964i −0.157345 + 0.921931i
\(85\) −2.16493 + 7.13682i −0.234820 + 0.774097i
\(86\) −10.6378 + 6.57511i −1.14710 + 0.709013i
\(87\) 5.02615 + 0.999764i 0.538860 + 0.107186i
\(88\) −1.80578 + 16.9237i −0.192497 + 1.80407i
\(89\) −0.287119 1.44344i −0.0304345 0.153005i 0.962580 0.270998i \(-0.0873538\pi\)
−0.993014 + 0.117994i \(0.962354\pi\)
\(90\) 0.197245 5.56438i 0.0207914 0.586537i
\(91\) −5.60014 + 6.82379i −0.587054 + 0.715327i
\(92\) −2.52951 0.179557i −0.263720 0.0187201i
\(93\) 5.32026 + 2.84374i 0.551685 + 0.294882i
\(94\) 9.85604 4.82732i 1.01657 0.497900i
\(95\) −12.3466 12.3466i −1.26673 1.26673i
\(96\) 0.996961 5.56831i 0.101752 0.568313i
\(97\) 3.16976 3.16976i 0.321840 0.321840i −0.527632 0.849473i \(-0.676920\pi\)
0.849473 + 0.527632i \(0.176920\pi\)
\(98\) −5.20938 + 15.2109i −0.526227 + 1.53653i
\(99\) 2.83658 5.30688i 0.285087 0.533361i
\(100\) −6.64280 19.9229i −0.664280 1.99229i
\(101\) −9.42536 7.73519i −0.937858 0.769680i 0.0354052 0.999373i \(-0.488728\pi\)
−0.973263 + 0.229693i \(0.926228\pi\)
\(102\) 1.96020 1.82599i 0.194089 0.180800i
\(103\) −1.52313 + 0.302970i −0.150079 + 0.0298525i −0.269558 0.962984i \(-0.586878\pi\)
0.119479 + 0.992837i \(0.461878\pi\)
\(104\) 3.73220 4.47310i 0.365972 0.438623i
\(105\) 3.29195 16.5497i 0.321261 1.61509i
\(106\) −0.983384 + 4.16645i −0.0955147 + 0.404682i
\(107\) −6.88749 2.08930i −0.665839 0.201980i −0.0607683 0.998152i \(-0.519355\pi\)
−0.605071 + 0.796172i \(0.706855\pi\)
\(108\) −1.06532 + 1.69266i −0.102510 + 0.162876i
\(109\) −2.46480 + 2.02281i −0.236085 + 0.193750i −0.744996 0.667069i \(-0.767548\pi\)
0.508911 + 0.860819i \(0.330048\pi\)
\(110\) 4.46310 33.2055i 0.425540 3.16602i
\(111\) 2.50836 + 1.03900i 0.238083 + 0.0986171i
\(112\) 5.68616 16.1732i 0.537291 1.52822i
\(113\) −7.49356 + 3.10393i −0.704935 + 0.291994i −0.706207 0.708006i \(-0.749595\pi\)
0.00127204 + 0.999999i \(0.499595\pi\)
\(114\) 1.60689 + 6.06262i 0.150499 + 0.567816i
\(115\) 4.96794 + 0.489299i 0.463263 + 0.0456274i
\(116\) −9.57263 3.66219i −0.888796 0.340026i
\(117\) −1.81647 + 0.970921i −0.167932 + 0.0897617i
\(118\) 5.87877 + 4.23681i 0.541184 + 0.390030i
\(119\) 6.75048 4.51053i 0.618816 0.413480i
\(120\) −2.26113 + 10.9038i −0.206412 + 0.995373i
\(121\) 14.0054 20.9606i 1.27322 1.90551i
\(122\) 13.1977 + 6.02293i 1.19486 + 0.545291i
\(123\) −0.236491 2.40114i −0.0213237 0.216503i
\(124\) −9.53201 7.39653i −0.856000 0.664228i
\(125\) 6.28648 + 20.7238i 0.562280 + 1.85359i
\(126\) −4.00874 + 4.54620i −0.357127 + 0.405008i
\(127\) −5.90648 −0.524115 −0.262058 0.965052i \(-0.584401\pi\)
−0.262058 + 0.965052i \(0.584401\pi\)
\(128\) −3.83909 + 10.6424i −0.339331 + 0.940667i
\(129\) −8.84292 −0.778575
\(130\) −7.58468 + 8.60157i −0.665220 + 0.754408i
\(131\) −1.79015 5.90134i −0.156406 0.515603i 0.843357 0.537354i \(-0.180576\pi\)
−0.999763 + 0.0217508i \(0.993076\pi\)
\(132\) −7.37793 + 9.50803i −0.642166 + 0.827568i
\(133\) 1.86309 + 18.9162i 0.161550 + 1.64024i
\(134\) −5.41317 2.47037i −0.467627 0.213407i
\(135\) 2.18732 3.27356i 0.188255 0.281743i
\(136\) −4.47893 + 2.94037i −0.384065 + 0.252135i
\(137\) 15.6989 10.4897i 1.34125 0.896196i 0.342195 0.939629i \(-0.388830\pi\)
0.999056 + 0.0434332i \(0.0138296\pi\)
\(138\) −1.45471 1.04841i −0.123833 0.0892462i
\(139\) −10.4000 + 5.55892i −0.882118 + 0.471502i −0.849270 0.527959i \(-0.822958\pi\)
−0.0328476 + 0.999460i \(0.510458\pi\)
\(140\) −12.0586 + 31.5200i −1.01914 + 2.66393i
\(141\) 7.72293 + 0.760642i 0.650388 + 0.0640577i
\(142\) 5.05691 + 19.0792i 0.424366 + 1.60109i
\(143\) −11.4504 + 4.74292i −0.957533 + 0.396623i
\(144\) 2.66980 2.97861i 0.222484 0.248218i
\(145\) 18.6402 + 7.72103i 1.54799 + 0.641197i
\(146\) 0.572737 4.26117i 0.0474000 0.352657i
\(147\) −8.78836 + 7.21242i −0.724851 + 0.594870i
\(148\) −4.59562 2.89237i −0.377757 0.237751i
\(149\) 16.0374 + 4.86489i 1.31383 + 0.398547i 0.867998 0.496568i \(-0.165407\pi\)
0.445835 + 0.895115i \(0.352907\pi\)
\(150\) 3.41125 14.4530i 0.278528 1.18008i
\(151\) 0.296647 1.49134i 0.0241408 0.121364i −0.966836 0.255398i \(-0.917793\pi\)
0.990977 + 0.134035i \(0.0427933\pi\)
\(152\) −1.12806 12.4931i −0.0914979 1.01332i
\(153\) 1.85789 0.369557i 0.150201 0.0298769i
\(154\) −26.6875 + 24.8602i −2.15054 + 2.00329i
\(155\) 18.3596 + 15.0673i 1.47468 + 1.21023i
\(156\) 3.90784 1.30297i 0.312878 0.104321i
\(157\) −1.63350 + 3.05606i −0.130367 + 0.243900i −0.938633 0.344918i \(-0.887907\pi\)
0.808265 + 0.588818i \(0.200407\pi\)
\(158\) −5.42006 + 15.8261i −0.431197 + 1.25905i
\(159\) −2.14047 + 2.14047i −0.169750 + 0.169750i
\(160\) 8.12663 20.7359i 0.642467 1.63932i
\(161\) −3.84261 3.84261i −0.302840 0.302840i
\(162\) −1.27006 + 0.622054i −0.0997852 + 0.0488731i
\(163\) 19.8076 + 10.5874i 1.55145 + 0.829268i 0.999988 0.00493066i \(-0.00156948\pi\)
0.551464 + 0.834199i \(0.314069\pi\)
\(164\) −0.341678 + 4.81340i −0.0266806 + 0.375863i
\(165\) 15.0294 18.3134i 1.17004 1.42569i
\(166\) 0.0642472 1.81245i 0.00498655 0.140673i
\(167\) 0.199796 + 1.00444i 0.0154606 + 0.0777259i 0.987745 0.156074i \(-0.0498839\pi\)
−0.972285 + 0.233800i \(0.924884\pi\)
\(168\) 9.43289 7.61397i 0.727763 0.587431i
\(169\) −8.58949 1.70855i −0.660730 0.131427i
\(170\) 8.97171 5.54533i 0.688099 0.425308i
\(171\) −1.28740 + 4.24397i −0.0984496 + 0.324545i
\(172\) 17.4337 + 2.97541i 1.32931 + 0.226873i
\(173\) 3.73861 + 4.55551i 0.284241 + 0.346349i 0.895484 0.445094i \(-0.146830\pi\)
−0.611242 + 0.791444i \(0.709330\pi\)
\(174\) −4.39629 5.76160i −0.333282 0.436786i
\(175\) 17.2225 41.5788i 1.30190 3.14306i
\(176\) 17.7447 16.2625i 1.33756 1.22584i
\(177\) 1.96086 + 4.73394i 0.147388 + 0.355825i
\(178\) −1.04554 + 1.79966i −0.0783667 + 0.134890i
\(179\) −0.341828 + 3.47064i −0.0255494 + 0.259407i 0.973922 + 0.226885i \(0.0728541\pi\)
−0.999471 + 0.0325226i \(0.989646\pi\)
\(180\) −5.41376 + 5.71783i −0.403518 + 0.426182i
\(181\) −1.40056 2.62026i −0.104103 0.194762i 0.824477 0.565895i \(-0.191469\pi\)
−0.928580 + 0.371133i \(0.878969\pi\)
\(182\) 12.3228 2.00023i 0.913424 0.148267i
\(183\) 5.69907 + 8.52925i 0.421287 + 0.630501i
\(184\) 2.51519 + 2.55640i 0.185423 + 0.188460i
\(185\) 8.88781 + 5.93864i 0.653445 + 0.436618i
\(186\) −2.98354 7.99265i −0.218763 0.586050i
\(187\) 11.3438 1.11727i 0.829541 0.0817026i
\(188\) −14.9698 4.09816i −1.09178 0.298889i
\(189\) −4.10136 + 1.24413i −0.298330 + 0.0904974i
\(190\) 1.54828 + 24.6446i 0.112324 + 1.78791i
\(191\) 22.6909i 1.64186i 0.571032 + 0.820928i \(0.306543\pi\)
−0.571032 + 0.820928i \(0.693457\pi\)
\(192\) −6.26573 + 4.97400i −0.452190 + 0.358968i
\(193\) 17.6389i 1.26968i 0.772645 + 0.634838i \(0.218933\pi\)
−0.772645 + 0.634838i \(0.781067\pi\)
\(194\) −6.32705 + 0.397492i −0.454256 + 0.0285383i
\(195\) −7.75991 + 2.35394i −0.555698 + 0.168569i
\(196\) 19.7530 11.2622i 1.41093 0.804442i
\(197\) −9.78937 + 0.964169i −0.697464 + 0.0686942i −0.440534 0.897736i \(-0.645211\pi\)
−0.256930 + 0.966430i \(0.582711\pi\)
\(198\) −7.97255 + 2.97603i −0.566584 + 0.211497i
\(199\) −0.0856110 0.0572035i −0.00606880 0.00405505i 0.552532 0.833492i \(-0.313662\pi\)
−0.558601 + 0.829437i \(0.688662\pi\)
\(200\) −11.5883 + 27.3461i −0.819417 + 1.93366i
\(201\) −2.33753 3.49836i −0.164877 0.246755i
\(202\) 2.76282 + 17.0208i 0.194391 + 1.19758i
\(203\) −10.3536 19.3702i −0.726680 1.35952i
\(204\) −3.78716 + 0.103449i −0.265154 + 0.00724287i
\(205\) 0.931085 9.45347i 0.0650298 0.660259i
\(206\) 1.89902 + 1.10326i 0.132311 + 0.0768681i
\(207\) −0.485219 1.17142i −0.0337251 0.0814196i
\(208\) −8.14270 + 1.25392i −0.564594 + 0.0869434i
\(209\) −10.2126 + 24.6554i −0.706421 + 1.70545i
\(210\) −18.9714 + 14.4758i −1.30915 + 0.998924i
\(211\) −15.7623 19.2064i −1.08512 1.32222i −0.943155 0.332354i \(-0.892157\pi\)
−0.141967 0.989871i \(-0.545343\pi\)
\(212\) 4.94012 3.49970i 0.339289 0.240361i
\(213\) −4.05146 + 13.3559i −0.277601 + 0.915128i
\(214\) 5.35160 + 8.65828i 0.365828 + 0.591868i
\(215\) −34.1463 6.79212i −2.32876 0.463219i
\(216\) 2.71322 0.799033i 0.184611 0.0543673i
\(217\) −5.04407 25.3583i −0.342414 1.72143i
\(218\) 4.50649 + 0.159745i 0.305218 + 0.0108193i
\(219\) 1.92868 2.35010i 0.130328 0.158805i
\(220\) −35.7923 + 31.0477i −2.41312 + 2.09324i
\(221\) −3.44091 1.83920i −0.231461 0.123718i
\(222\) −1.68889 3.44824i −0.113351 0.231431i
\(223\) 19.7603 + 19.7603i 1.32325 + 1.32325i 0.911131 + 0.412116i \(0.135210\pi\)
0.412116 + 0.911131i \(0.364790\pi\)
\(224\) −21.1588 + 11.8370i −1.41373 + 0.790891i
\(225\) 7.42504 7.42504i 0.495003 0.495003i
\(226\) 10.8519 + 3.71652i 0.721856 + 0.247219i
\(227\) 6.31927 11.8225i 0.419425 0.784689i −0.580130 0.814524i \(-0.696998\pi\)
0.999555 + 0.0298353i \(0.00949827\pi\)
\(228\) 3.96608 7.93379i 0.262660 0.525428i
\(229\) −6.98571 5.73302i −0.461629 0.378849i 0.374639 0.927171i \(-0.377767\pi\)
−0.836267 + 0.548322i \(0.815267\pi\)
\(230\) −4.81200 5.16569i −0.317294 0.340615i
\(231\) −25.2945 + 5.03138i −1.66425 + 0.331041i
\(232\) 6.72864 + 12.8382i 0.441757 + 0.842869i
\(233\) 0.862489 4.33602i 0.0565035 0.284062i −0.942195 0.335065i \(-0.891242\pi\)
0.998699 + 0.0510027i \(0.0162417\pi\)
\(234\) 2.83492 + 0.669110i 0.185324 + 0.0437411i
\(235\) 29.2373 + 8.86904i 1.90723 + 0.578553i
\(236\) −2.27298 9.99272i −0.147959 0.650470i
\(237\) −9.14379 + 7.50411i −0.593953 + 0.487445i
\(238\) −11.3793 1.52947i −0.737611 0.0991411i
\(239\) 8.03761 + 3.32929i 0.519910 + 0.215354i 0.627177 0.778877i \(-0.284210\pi\)
−0.107268 + 0.994230i \(0.534210\pi\)
\(240\) 12.5971 9.45107i 0.813139 0.610064i
\(241\) −3.50390 + 1.45136i −0.225706 + 0.0934905i −0.492671 0.870216i \(-0.663979\pi\)
0.266965 + 0.963706i \(0.413979\pi\)
\(242\) −34.4612 + 9.13389i −2.21525 + 0.587149i
\(243\) −0.995185 0.0980171i −0.0638411 0.00628780i
\(244\) −8.36580 18.7330i −0.535565 1.19925i
\(245\) −39.4754 + 21.1000i −2.52199 + 1.34803i
\(246\) −1.99501 + 2.76816i −0.127197 + 0.176492i
\(247\) 7.59507 5.07486i 0.483263 0.322906i
\(248\) 3.19270 + 16.7613i 0.202737 + 1.06435i
\(249\) 0.712462 1.06628i 0.0451505 0.0675724i
\(250\) 12.7153 27.8623i 0.804187 1.76217i
\(251\) −1.45410 14.7637i −0.0917818 0.931877i −0.925262 0.379328i \(-0.876155\pi\)
0.833481 0.552549i \(-0.186345\pi\)
\(252\) 8.50442 1.07280i 0.535728 0.0675802i
\(253\) −2.21479 7.30117i −0.139242 0.459021i
\(254\) 6.26520 + 5.52452i 0.393113 + 0.346639i
\(255\) 7.45796 0.467035
\(256\) 14.0265 7.69796i 0.876653 0.481122i
\(257\) −7.32702 −0.457047 −0.228524 0.973538i \(-0.573390\pi\)
−0.228524 + 0.973538i \(0.573390\pi\)
\(258\) 9.37997 + 8.27106i 0.583972 + 0.514934i
\(259\) −3.37786 11.1353i −0.209890 0.691914i
\(260\) 16.0906 2.02978i 0.997899 0.125881i
\(261\) −0.502301 5.09994i −0.0310916 0.315679i
\(262\) −3.62084 + 7.93414i −0.223696 + 0.490173i
\(263\) −1.30294 + 1.94999i −0.0803427 + 0.120241i −0.869465 0.493995i \(-0.835536\pi\)
0.789122 + 0.614237i \(0.210536\pi\)
\(264\) 16.7192 3.18467i 1.02899 0.196003i
\(265\) −9.90932 + 6.62119i −0.608725 + 0.406737i
\(266\) 15.7167 21.8077i 0.963653 1.33711i
\(267\) −1.29794 + 0.693765i −0.0794328 + 0.0424577i
\(268\) 3.43132 + 7.68351i 0.209601 + 0.469345i
\(269\) 24.8939 + 2.45184i 1.51781 + 0.149491i 0.822312 0.569037i \(-0.192684\pi\)
0.695498 + 0.718528i \(0.255184\pi\)
\(270\) −5.38203 + 1.42650i −0.327540 + 0.0868141i
\(271\) −2.90105 + 1.20165i −0.176226 + 0.0729953i −0.469052 0.883171i \(-0.655404\pi\)
0.292826 + 0.956166i \(0.405404\pi\)
\(272\) 7.50117 + 1.07033i 0.454825 + 0.0648983i
\(273\) 8.15559 + 3.37816i 0.493599 + 0.204455i
\(274\) −26.4637 3.55695i −1.59873 0.214883i
\(275\) 48.8437 40.0850i 2.94538 2.41721i
\(276\) 0.562454 + 2.47272i 0.0338557 + 0.148840i
\(277\) −7.72290 2.34272i −0.464024 0.140760i 0.0496116 0.998769i \(-0.484202\pi\)
−0.513636 + 0.858008i \(0.671702\pi\)
\(278\) 16.2311 + 3.83093i 0.973475 + 0.229764i
\(279\) 1.17690 5.91666i 0.0704590 0.354221i
\(280\) 42.2726 22.1555i 2.52627 1.32405i
\(281\) −4.98157 + 0.990895i −0.297175 + 0.0591118i −0.341426 0.939909i \(-0.610910\pi\)
0.0442508 + 0.999020i \(0.485910\pi\)
\(282\) −7.48052 8.03034i −0.445458 0.478200i
\(283\) 4.01292 + 3.29332i 0.238543 + 0.195768i 0.746068 0.665870i \(-0.231939\pi\)
−0.507525 + 0.861637i \(0.669439\pi\)
\(284\) 12.4813 24.9678i 0.740629 1.48157i
\(285\) −8.23093 + 15.3990i −0.487558 + 0.912157i
\(286\) 16.5821 + 5.67898i 0.980518 + 0.335805i
\(287\) −7.31208 + 7.31208i −0.431619 + 0.431619i
\(288\) −5.61794 + 0.662363i −0.331040 + 0.0390301i
\(289\) −9.48349 9.48349i −0.557852 0.557852i
\(290\) −12.5506 25.6248i −0.736995 1.50474i
\(291\) −3.95340 2.11314i −0.231753 0.123874i
\(292\) −4.59313 + 3.98426i −0.268792 + 0.233161i
\(293\) 2.28119 2.77963i 0.133268 0.162388i −0.702100 0.712078i \(-0.747754\pi\)
0.835369 + 0.549690i \(0.185254\pi\)
\(294\) 16.0681 + 0.569579i 0.937111 + 0.0332185i
\(295\) 3.93566 + 19.7859i 0.229143 + 1.15198i
\(296\) 2.16940 + 7.36646i 0.126094 + 0.428167i
\(297\) −5.90178 1.17394i −0.342456 0.0681187i
\(298\) −12.4611 20.1606i −0.721852 1.16787i
\(299\) −0.758089 + 2.49908i −0.0438414 + 0.144526i
\(300\) −17.1367 + 12.1401i −0.989391 + 0.700908i
\(301\) 24.0435 + 29.2970i 1.38584 + 1.68865i
\(302\) −1.70956 + 1.30445i −0.0983744 + 0.0750629i
\(303\) −4.66608 + 11.2649i −0.268059 + 0.647152i
\(304\) −10.4886 + 14.3069i −0.601563 + 0.820559i
\(305\) 15.4553 + 37.3125i 0.884970 + 2.13651i
\(306\) −2.31638 1.34574i −0.132419 0.0769309i
\(307\) 1.97109 20.0128i 0.112496 1.14219i −0.758763 0.651367i \(-0.774196\pi\)
0.871259 0.490824i \(-0.163304\pi\)
\(308\) 51.5608 1.40842i 2.93795 0.0802521i
\(309\) 0.732067 + 1.36960i 0.0416458 + 0.0779138i
\(310\) −5.38167 33.1547i −0.305658 1.88306i
\(311\) 11.9550 + 17.8919i 0.677906 + 1.01456i 0.997747 + 0.0670872i \(0.0213706\pi\)
−0.319841 + 0.947471i \(0.603629\pi\)
\(312\) −5.36389 2.27302i −0.303670 0.128684i
\(313\) 16.9413 + 11.3198i 0.957580 + 0.639834i 0.933005 0.359864i \(-0.117177\pi\)
0.0245748 + 0.999698i \(0.492177\pi\)
\(314\) 4.59114 1.71380i 0.259093 0.0967155i
\(315\) −16.7927 + 1.65394i −0.946162 + 0.0931888i
\(316\) 20.5519 11.7177i 1.15613 0.659170i
\(317\) 7.66314 2.32459i 0.430405 0.130562i −0.0676466 0.997709i \(-0.521549\pi\)
0.498051 + 0.867147i \(0.334049\pi\)
\(318\) 4.27251 0.268417i 0.239590 0.0150521i
\(319\) 30.8369i 1.72654i
\(320\) −28.0151 + 14.3941i −1.56609 + 0.804657i
\(321\) 7.19741i 0.401720i
\(322\) 0.481868 + 7.67010i 0.0268535 + 0.427438i
\(323\) −8.03931 + 2.43870i −0.447319 + 0.135693i
\(324\) 1.92902 + 0.528093i 0.107168 + 0.0293385i
\(325\) −21.5236 + 2.11989i −1.19391 + 0.117590i
\(326\) −11.1079 29.7571i −0.615208 1.64809i
\(327\) 2.65120 + 1.77148i 0.146612 + 0.0979628i
\(328\) 4.86455 4.78615i 0.268600 0.264271i
\(329\) −18.4782 27.6546i −1.01874 1.52465i
\(330\) −33.0713 + 5.36813i −1.82051 + 0.295506i
\(331\) −1.68119 3.14528i −0.0924065 0.172880i 0.831472 0.555567i \(-0.187499\pi\)
−0.923878 + 0.382687i \(0.874999\pi\)
\(332\) −1.76339 + 1.86243i −0.0967785 + 0.102214i
\(333\) 0.266119 2.70195i 0.0145832 0.148066i
\(334\) 0.727555 1.25232i 0.0398100 0.0685238i
\(335\) −6.33916 15.3041i −0.346346 0.836152i
\(336\) −17.1274 0.746489i −0.934375 0.0407243i
\(337\) −3.83443 + 9.25712i −0.208874 + 0.504268i −0.993247 0.116023i \(-0.962985\pi\)
0.784372 + 0.620291i \(0.212985\pi\)
\(338\) 7.51309 + 9.84634i 0.408658 + 0.535570i
\(339\) 5.14554 + 6.26986i 0.279468 + 0.340532i
\(340\) −14.7033 2.50941i −0.797399 0.136092i
\(341\) 10.5375 34.7374i 0.570635 1.88113i
\(342\) 5.33511 3.29758i 0.288490 0.178313i
\(343\) 18.3653 + 3.65309i 0.991635 + 0.197248i
\(344\) −15.7096 19.4625i −0.847003 1.04934i
\(345\) −0.973887 4.89606i −0.0524323 0.263595i
\(346\) 0.295245 8.32902i 0.0158725 0.447771i
\(347\) 9.69494 11.8133i 0.520452 0.634172i −0.444757 0.895651i \(-0.646710\pi\)
0.965209 + 0.261479i \(0.0842101\pi\)
\(348\) −0.725714 + 10.2235i −0.0389023 + 0.548038i
\(349\) 13.8204 + 7.38714i 0.739787 + 0.395424i 0.797824 0.602890i \(-0.205984\pi\)
−0.0580372 + 0.998314i \(0.518484\pi\)
\(350\) −57.1584 + 27.9953i −3.05525 + 1.49641i
\(351\) 1.45641 + 1.45641i 0.0777372 + 0.0777372i
\(352\) −34.0333 + 0.653002i −1.81398 + 0.0348051i
\(353\) 21.6434 21.6434i 1.15196 1.15196i 0.165804 0.986159i \(-0.446978\pi\)
0.986159 0.165804i \(-0.0530218\pi\)
\(354\) 2.34785 6.85551i 0.124787 0.364366i
\(355\) −25.9029 + 48.4608i −1.37478 + 2.57203i
\(356\) 2.79232 0.931030i 0.147993 0.0493445i
\(357\) −6.27587 5.15047i −0.332154 0.272592i
\(358\) 3.60878 3.36170i 0.190730 0.177671i
\(359\) −3.61895 + 0.719853i −0.191001 + 0.0379924i −0.289664 0.957129i \(-0.593543\pi\)
0.0986629 + 0.995121i \(0.468543\pi\)
\(360\) 11.0906 1.00143i 0.584527 0.0527798i
\(361\) 0.130459 0.655860i 0.00686624 0.0345189i
\(362\) −0.965194 + 4.08938i −0.0507295 + 0.214933i
\(363\) −24.1236 7.31782i −1.26616 0.384086i
\(364\) −14.9420 9.40416i −0.783176 0.492912i
\(365\) 9.25254 7.59336i 0.484300 0.397455i
\(366\) 1.93249 14.3778i 0.101013 0.751538i
\(367\) 2.16481 + 0.896692i 0.113002 + 0.0468070i 0.438468 0.898747i \(-0.355521\pi\)
−0.325466 + 0.945554i \(0.605521\pi\)
\(368\) −0.276870 5.06420i −0.0144329 0.263989i
\(369\) −2.22910 + 0.923321i −0.116042 + 0.0480662i
\(370\) −3.87299 14.6124i −0.201347 0.759661i
\(371\) 12.9113 + 1.27165i 0.670321 + 0.0660208i
\(372\) −4.31104 + 11.2687i −0.223517 + 0.584253i
\(373\) 5.02978 2.68847i 0.260432 0.139204i −0.336014 0.941857i \(-0.609079\pi\)
0.596446 + 0.802653i \(0.296579\pi\)
\(374\) −13.0778 9.42509i −0.676235 0.487360i
\(375\) 18.0065 12.0316i 0.929853 0.621308i
\(376\) 12.0458 + 18.3488i 0.621214 + 0.946265i
\(377\) −5.86406 + 8.77618i −0.302014 + 0.451996i
\(378\) 5.51412 + 2.51644i 0.283616 + 0.129432i
\(379\) 1.09708 + 11.1388i 0.0563530 + 0.572162i 0.981356 + 0.192201i \(0.0615625\pi\)
−0.925003 + 0.379961i \(0.875938\pi\)
\(380\) 21.4086 27.5895i 1.09824 1.41531i
\(381\) 1.71456 + 5.65215i 0.0878396 + 0.289568i
\(382\) 21.2235 24.0690i 1.08589 1.23148i
\(383\) −36.9339 −1.88723 −0.943616 0.331042i \(-0.892600\pi\)
−0.943616 + 0.331042i \(0.892600\pi\)
\(384\) 11.2986 + 0.584444i 0.576579 + 0.0298248i
\(385\) −101.537 −5.17482
\(386\) 16.4982 18.7102i 0.839738 0.952323i
\(387\) 2.56696 + 8.46214i 0.130486 + 0.430155i
\(388\) 7.08310 + 5.49625i 0.359590 + 0.279030i
\(389\) 1.66545 + 16.9096i 0.0844417 + 0.857351i 0.940347 + 0.340218i \(0.110501\pi\)
−0.855905 + 0.517133i \(0.826999\pi\)
\(390\) 10.4329 + 4.76118i 0.528291 + 0.241092i
\(391\) 1.33439 1.99706i 0.0674831 0.100996i
\(392\) −31.4865 6.52941i −1.59031 0.329785i
\(393\) −5.12758 + 3.42614i −0.258652 + 0.172826i
\(394\) 11.2857 + 8.13359i 0.568567 + 0.409764i
\(395\) −41.0719 + 21.9534i −2.06655 + 1.10459i
\(396\) 11.2403 + 4.30020i 0.564847 + 0.216093i
\(397\) 37.8228 + 3.72522i 1.89827 + 0.186964i 0.978607 0.205738i \(-0.0659596\pi\)
0.919666 + 0.392702i \(0.128460\pi\)
\(398\) 0.0373062 + 0.140752i 0.00186999 + 0.00705528i
\(399\) 17.5609 7.27395i 0.879143 0.364153i
\(400\) 37.8698 18.1680i 1.89349 0.908402i
\(401\) 4.60807 + 1.90872i 0.230116 + 0.0953171i 0.494762 0.869028i \(-0.335255\pi\)
−0.264646 + 0.964346i \(0.585255\pi\)
\(402\) −0.792633 + 5.89719i −0.0395329 + 0.294125i
\(403\) −9.60474 + 7.88241i −0.478446 + 0.392651i
\(404\) 12.9895 20.6387i 0.646251 1.02681i
\(405\) −3.76755 1.14287i −0.187211 0.0567899i
\(406\) −7.13517 + 30.2307i −0.354113 + 1.50032i
\(407\) 3.18727 16.0235i 0.157987 0.794255i
\(408\) 4.11393 + 3.43252i 0.203670 + 0.169935i
\(409\) −3.46210 + 0.688654i −0.171190 + 0.0340517i −0.279941 0.960017i \(-0.590315\pi\)
0.108751 + 0.994069i \(0.465315\pi\)
\(410\) −9.82976 + 9.15673i −0.485457 + 0.452219i
\(411\) −14.5952 11.9780i −0.719927 0.590829i
\(412\) −0.982430 2.94648i −0.0484009 0.145163i
\(413\) 10.3523 19.3678i 0.509404 0.953027i
\(414\) −0.580981 + 1.69641i −0.0285537 + 0.0833739i
\(415\) 3.57011 3.57011i 0.175250 0.175250i
\(416\) 9.81005 + 6.28605i 0.480977 + 0.308199i
\(417\) 8.33852 + 8.33852i 0.408339 + 0.408339i
\(418\) 33.8938 16.6006i 1.65780 0.811964i
\(419\) −27.5810 14.7423i −1.34742 0.720210i −0.369507 0.929228i \(-0.620473\pi\)
−0.977912 + 0.209017i \(0.932973\pi\)
\(420\) 33.6632 + 2.38957i 1.64260 + 0.116599i
\(421\) −14.5330 + 17.7085i −0.708296 + 0.863061i −0.995495 0.0948097i \(-0.969776\pi\)
0.287199 + 0.957871i \(0.407276\pi\)
\(422\) −1.24478 + 35.1159i −0.0605949 + 1.70941i
\(423\) −1.51396 7.61119i −0.0736112 0.370069i
\(424\) −8.51353 0.908403i −0.413454 0.0441159i
\(425\) 19.5089 + 3.88057i 0.946322 + 0.188235i
\(426\) 16.7897 10.3775i 0.813462 0.502794i
\(427\) 12.7624 42.0719i 0.617615 2.03600i
\(428\) 2.42174 14.1896i 0.117059 0.685882i
\(429\) 7.86258 + 9.58058i 0.379609 + 0.462555i
\(430\) 29.8672 + 39.1427i 1.44033 + 1.88763i
\(431\) −8.93866 + 21.5798i −0.430560 + 1.03946i 0.548547 + 0.836119i \(0.315181\pi\)
−0.979107 + 0.203344i \(0.934819\pi\)
\(432\) −3.62536 1.69020i −0.174425 0.0813196i
\(433\) −8.34537 20.1475i −0.401053 0.968227i −0.987411 0.158175i \(-0.949439\pi\)
0.586358 0.810052i \(-0.300561\pi\)
\(434\) −18.3680 + 31.6162i −0.881691 + 1.51763i
\(435\) 1.97760 20.0789i 0.0948185 0.962709i
\(436\) −4.63077 4.38451i −0.221774 0.209980i
\(437\) 2.65078 + 4.95925i 0.126804 + 0.237233i
\(438\) −4.24394 + 0.688877i −0.202783 + 0.0329158i
\(439\) −19.4738 29.1446i −0.929432 1.39099i −0.920376 0.391035i \(-0.872117\pi\)
−0.00905616 0.999959i \(-0.502883\pi\)
\(440\) 67.0060 + 0.544374i 3.19439 + 0.0259520i
\(441\) 9.45298 + 6.31628i 0.450142 + 0.300775i
\(442\) 1.92962 + 5.16929i 0.0917826 + 0.245878i
\(443\) −17.1558 + 1.68969i −0.815094 + 0.0802798i −0.496968 0.867769i \(-0.665554\pi\)
−0.318126 + 0.948048i \(0.603054\pi\)
\(444\) −1.43379 + 5.23734i −0.0680446 + 0.248553i
\(445\) −5.54479 + 1.68199i −0.262848 + 0.0797341i
\(446\) −2.47797 39.4428i −0.117335 1.86767i
\(447\) 16.7590i 0.792674i
\(448\) 33.5153 + 7.23460i 1.58345 + 0.341803i
\(449\) 20.9244i 0.987485i 0.869608 + 0.493743i \(0.164371\pi\)
−0.869608 + 0.493743i \(0.835629\pi\)
\(450\) −14.8209 + 0.931110i −0.698662 + 0.0438929i
\(451\) −13.8934 + 4.21450i −0.654213 + 0.198453i
\(452\) −8.03476 14.0923i −0.377923 0.662848i
\(453\) −1.51324 + 0.149041i −0.0710982 + 0.00700256i
\(454\) −17.7610 + 6.62993i −0.833567 + 0.311158i
\(455\) 28.8975 + 19.3087i 1.35474 + 0.905206i
\(456\) −11.6277 + 4.70604i −0.544516 + 0.220380i
\(457\) 6.11647 + 9.15394i 0.286116 + 0.428203i 0.946490 0.322734i \(-0.104602\pi\)
−0.660373 + 0.750937i \(0.729602\pi\)
\(458\) 2.04769 + 12.6152i 0.0956825 + 0.589468i
\(459\) −0.892961 1.67061i −0.0416798 0.0779775i
\(460\) 0.272617 + 9.98023i 0.0127108 + 0.465331i
\(461\) −1.70166 + 17.2772i −0.0792542 + 0.804681i 0.870601 + 0.491990i \(0.163730\pi\)
−0.949855 + 0.312691i \(0.898770\pi\)
\(462\) 31.5367 + 18.3218i 1.46722 + 0.852406i
\(463\) −12.7872 30.8709i −0.594270 1.43469i −0.879343 0.476188i \(-0.842018\pi\)
0.285074 0.958506i \(-0.407982\pi\)
\(464\) 4.87068 19.9114i 0.226116 0.924364i
\(465\) 9.08901 21.9428i 0.421493 1.01757i
\(466\) −4.97049 + 3.79265i −0.230254 + 0.175691i
\(467\) 12.0927 + 14.7350i 0.559583 + 0.681853i 0.973559 0.228434i \(-0.0733606\pi\)
−0.413977 + 0.910287i \(0.635861\pi\)
\(468\) −2.38125 3.36134i −0.110073 0.155378i
\(469\) −5.23462 + 17.2562i −0.241712 + 0.796819i
\(470\) −22.7175 36.7543i −1.04788 1.69535i
\(471\) 3.39865 + 0.676033i 0.156601 + 0.0311500i
\(472\) −6.93548 + 12.7256i −0.319231 + 0.585743i
\(473\) 10.3810 + 52.1889i 0.477320 + 2.39965i
\(474\) 16.7180 + 0.592614i 0.767881 + 0.0272197i
\(475\) −29.5434 + 35.9987i −1.35554 + 1.65173i
\(476\) 10.6398 + 12.2658i 0.487676 + 0.562201i
\(477\) 2.66964 + 1.42695i 0.122235 + 0.0653357i
\(478\) −5.41177 11.0493i −0.247529 0.505384i
\(479\) 9.77776 + 9.77776i 0.446757 + 0.446757i 0.894275 0.447518i \(-0.147692\pi\)
−0.447518 + 0.894275i \(0.647692\pi\)
\(480\) −22.2020 1.75739i −1.01338 0.0802137i
\(481\) −3.95418 + 3.95418i −0.180295 + 0.180295i
\(482\) 5.07421 + 1.73780i 0.231124 + 0.0791546i
\(483\) −2.56170 + 4.79260i −0.116561 + 0.218071i
\(484\) 45.0973 + 22.5440i 2.04988 + 1.02473i
\(485\) −13.6427 11.1963i −0.619484 0.508397i
\(486\) 0.963947 + 1.03480i 0.0437255 + 0.0469394i
\(487\) −15.8131 + 3.14542i −0.716560 + 0.142533i −0.539888 0.841737i \(-0.681533\pi\)
−0.176672 + 0.984270i \(0.556533\pi\)
\(488\) −8.64764 + 27.6955i −0.391460 + 1.25371i
\(489\) 4.38165 22.0281i 0.198145 0.996143i
\(490\) 61.6084 + 14.5411i 2.78318 + 0.656899i
\(491\) 22.9572 + 6.96400i 1.03605 + 0.314281i 0.762097 0.647463i \(-0.224170\pi\)
0.273949 + 0.961744i \(0.411670\pi\)
\(492\) 4.70532 1.07029i 0.212132 0.0482524i
\(493\) 7.50400 6.15837i 0.337963 0.277359i
\(494\) −12.8030 1.72083i −0.576035 0.0774240i
\(495\) −21.8876 9.06615i −0.983775 0.407493i
\(496\) 12.2908 20.7655i 0.551873 0.932400i
\(497\) 55.2644 22.8912i 2.47894 1.02681i
\(498\) −1.75305 + 0.464645i −0.0785562 + 0.0208212i
\(499\) 17.1076 + 1.68495i 0.765840 + 0.0754286i 0.473391 0.880852i \(-0.343030\pi\)
0.292449 + 0.956281i \(0.405530\pi\)
\(500\) −39.5481 + 17.6615i −1.76864 + 0.789844i
\(501\) 0.903192 0.482766i 0.0403516 0.0215684i
\(502\) −12.2665 + 17.0204i −0.547483 + 0.759658i
\(503\) 17.5591 11.7326i 0.782923 0.523133i −0.0986826 0.995119i \(-0.531463\pi\)
0.881606 + 0.471986i \(0.156463\pi\)
\(504\) −10.0243 6.81649i −0.446520 0.303631i
\(505\) −26.6702 + 39.9147i −1.18681 + 1.77618i
\(506\) −4.47972 + 9.81615i −0.199148 + 0.436381i
\(507\) 0.858411 + 8.71559i 0.0381234 + 0.387073i
\(508\) −1.47845 11.7201i −0.0655954 0.519994i
\(509\) 6.31909 + 20.8313i 0.280089 + 0.923329i 0.978257 + 0.207396i \(0.0664988\pi\)
−0.698168 + 0.715934i \(0.746001\pi\)
\(510\) −7.91090 6.97566i −0.350301 0.308888i
\(511\) −13.0300 −0.576413
\(512\) −22.0785 4.95391i −0.975740 0.218934i
\(513\) 4.43494 0.195807
\(514\) 7.77202 + 6.85320i 0.342809 + 0.302282i
\(515\) 1.77485 + 5.85091i 0.0782094 + 0.257822i
\(516\) −2.21346 17.5468i −0.0974423 0.772454i
\(517\) −4.57709 46.4720i −0.201300 2.04384i
\(518\) −6.83219 + 14.9710i −0.300189 + 0.657788i
\(519\) 3.27409 4.90002i 0.143717 0.215087i
\(520\) −18.9664 12.8970i −0.831731 0.565572i
\(521\) −19.5149 + 13.0395i −0.854965 + 0.571270i −0.904002 0.427527i \(-0.859385\pi\)
0.0490371 + 0.998797i \(0.484385\pi\)
\(522\) −4.23733 + 5.87950i −0.185463 + 0.257339i
\(523\) 22.1843 11.8577i 0.970050 0.518503i 0.0913203 0.995822i \(-0.470891\pi\)
0.878730 + 0.477319i \(0.158391\pi\)
\(524\) 11.2618 5.02932i 0.491974 0.219707i
\(525\) −44.7879 4.41122i −1.95470 0.192521i
\(526\) 3.20596 0.849735i 0.139786 0.0370502i
\(527\) 10.5576 4.37309i 0.459895 0.190495i
\(528\) −20.7133 12.2599i −0.901431 0.533543i
\(529\) 19.7639 + 8.18649i 0.859302 + 0.355934i
\(530\) 16.7042 + 2.24518i 0.725582 + 0.0975244i
\(531\) 3.96089 3.25062i 0.171888 0.141065i
\(532\) −37.0686 + 8.43178i −1.60713 + 0.365564i
\(533\) 4.75549 + 1.44256i 0.205983 + 0.0624843i
\(534\) 2.02567 + 0.478108i 0.0876594 + 0.0206898i
\(535\) −5.52823 + 27.7923i −0.239006 + 1.20157i
\(536\) 3.54692 11.3596i 0.153204 0.490659i
\(537\) 3.42042 0.680364i 0.147602 0.0293599i
\(538\) −24.1125 25.8848i −1.03957 1.11597i
\(539\) 52.8831 + 43.4000i 2.27784 + 1.86937i
\(540\) 7.04315 + 3.52085i 0.303089 + 0.151513i
\(541\) 18.7049 34.9945i 0.804187 1.50453i −0.0582141 0.998304i \(-0.518541\pi\)
0.862402 0.506225i \(-0.168959\pi\)
\(542\) 4.20118 + 1.43881i 0.180456 + 0.0618021i
\(543\) −2.10087 + 2.10087i −0.0901571 + 0.0901571i
\(544\) −6.95563 8.15142i −0.298220 0.349489i
\(545\) 8.87678 + 8.87678i 0.380239 + 0.380239i
\(546\) −5.49121 11.2115i −0.235002 0.479808i
\(547\) −32.3715 17.3029i −1.38410 0.739819i −0.399851 0.916580i \(-0.630938\pi\)
−0.984254 + 0.176761i \(0.943438\pi\)
\(548\) 24.7440 + 28.5254i 1.05701 + 1.21854i
\(549\) 6.50764 7.92958i 0.277739 0.338426i
\(550\) −89.3028 3.16559i −3.80789 0.134981i
\(551\) 4.43389 + 22.2907i 0.188890 + 0.949615i
\(552\) 1.71620 3.14897i 0.0730462 0.134029i
\(553\) 49.7230 + 9.89052i 2.11444 + 0.420588i
\(554\) 6.00072 + 9.70847i 0.254946 + 0.412473i
\(555\) 3.10293 10.2290i 0.131712 0.434197i
\(556\) −13.6336 19.2450i −0.578196 0.816171i
\(557\) −20.8474 25.4026i −0.883332 1.07634i −0.996568 0.0827753i \(-0.973622\pi\)
0.113236 0.993568i \(-0.463878\pi\)
\(558\) −6.78242 + 5.17521i −0.287123 + 0.219084i
\(559\) 6.97000 16.8271i 0.294799 0.711709i
\(560\) −65.5628 16.0378i −2.77053 0.677721i
\(561\) −4.36209 10.5310i −0.184168 0.444620i
\(562\) 6.21093 + 3.60834i 0.261992 + 0.152209i
\(563\) −3.19645 + 32.4541i −0.134714 + 1.36778i 0.655615 + 0.755095i \(0.272409\pi\)
−0.790329 + 0.612682i \(0.790091\pi\)
\(564\) 0.423798 + 15.5148i 0.0178451 + 0.653292i
\(565\) 15.0534 + 28.1629i 0.633300 + 1.18482i
\(566\) −1.17629 7.24675i −0.0494433 0.304604i
\(567\) 2.38112 + 3.56360i 0.0999977 + 0.149657i
\(568\) −36.5925 + 14.8100i −1.53539 + 0.621413i
\(569\) −35.3817 23.6413i −1.48328 0.991096i −0.992818 0.119633i \(-0.961828\pi\)
−0.490461 0.871463i \(-0.663172\pi\)
\(570\) 23.1340 8.63556i 0.968975 0.361704i
\(571\) −12.9645 + 1.27689i −0.542546 + 0.0534361i −0.365579 0.930780i \(-0.619129\pi\)
−0.176968 + 0.984217i \(0.556629\pi\)
\(572\) −12.2774 21.5336i −0.513344 0.900365i
\(573\) 21.7138 6.58682i 0.907108 0.275168i
\(574\) 14.5954 0.916945i 0.609200 0.0382725i
\(575\) 13.3141i 0.555237i
\(576\) 6.57867 + 4.55205i 0.274111 + 0.189669i
\(577\) 6.09418i 0.253704i 0.991922 + 0.126852i \(0.0404874\pi\)
−0.991922 + 0.126852i \(0.959513\pi\)
\(578\) 1.18924 + 18.9297i 0.0494659 + 0.787370i
\(579\) 16.8794 5.12030i 0.701483 0.212793i
\(580\) −10.6548 + 38.9200i −0.442418 + 1.61606i
\(581\) −5.46977 + 0.538726i −0.226924 + 0.0223501i
\(582\) 2.21702 + 5.93922i 0.0918985 + 0.246189i
\(583\) 15.1453 + 10.1198i 0.627255 + 0.419119i
\(584\) 8.59869 + 0.0698579i 0.355816 + 0.00289074i
\(585\) 4.50516 + 6.74245i 0.186266 + 0.278766i
\(586\) −5.01961 + 0.814783i −0.207358 + 0.0336584i
\(587\) −14.9149 27.9038i −0.615604 1.15171i −0.975764 0.218824i \(-0.929778\pi\)
0.360160 0.932891i \(-0.382722\pi\)
\(588\) −16.5112 15.6332i −0.680911 0.644701i
\(589\) −2.62236 + 26.6253i −0.108053 + 1.09708i
\(590\) 14.3317 24.6687i 0.590026 1.01559i
\(591\) 3.76436 + 9.08796i 0.154845 + 0.373829i
\(592\) 4.58893 9.84295i 0.188604 0.404543i
\(593\) −17.0913 + 41.2620i −0.701854 + 1.69443i 0.0175605 + 0.999846i \(0.494410\pi\)
−0.719415 + 0.694581i \(0.755590\pi\)
\(594\) 5.16219 + 6.76536i 0.211807 + 0.277586i
\(595\) −20.2778 24.7086i −0.831310 1.01295i
\(596\) −5.63897 + 33.0403i −0.230981 + 1.35338i
\(597\) −0.0298887 + 0.0985299i −0.00122326 + 0.00403256i
\(598\) 3.14160 1.94180i 0.128470 0.0794060i
\(599\) 4.06107 + 0.807797i 0.165931 + 0.0330057i 0.277356 0.960767i \(-0.410542\pi\)
−0.111426 + 0.993773i \(0.535542\pi\)
\(600\) 29.5325 + 3.15115i 1.20566 + 0.128645i
\(601\) 7.62237 + 38.3203i 0.310923 + 1.56312i 0.748004 + 0.663694i \(0.231012\pi\)
−0.437081 + 0.899422i \(0.643988\pi\)
\(602\) 1.89876 53.5649i 0.0773876 2.18314i
\(603\) −2.66917 + 3.25240i −0.108697 + 0.132448i
\(604\) 3.03349 + 0.215332i 0.123431 + 0.00876172i
\(605\) −87.5310 46.7863i −3.55864 1.90213i
\(606\) 15.4859 7.58473i 0.629071 0.308109i
\(607\) 3.50527 + 3.50527i 0.142275 + 0.142275i 0.774657 0.632382i \(-0.217923\pi\)
−0.632382 + 0.774657i \(0.717923\pi\)
\(608\) 24.5073 5.36552i 0.993904 0.217600i
\(609\) −15.5306 + 15.5306i −0.629333 + 0.629333i
\(610\) 18.5056 54.0345i 0.749268 2.18779i
\(611\) −7.53464 + 14.0963i −0.304819 + 0.570276i
\(612\) 1.19835 + 3.59406i 0.0484404 + 0.145281i
\(613\) −21.1610 17.3664i −0.854684 0.701421i 0.101295 0.994856i \(-0.467701\pi\)
−0.955979 + 0.293435i \(0.905201\pi\)
\(614\) −20.8094 + 19.3846i −0.839799 + 0.782299i
\(615\) −9.31668 + 1.85320i −0.375685 + 0.0747284i
\(616\) −56.0096 46.7325i −2.25669 1.88291i
\(617\) −1.60916 + 8.08981i −0.0647825 + 0.325684i −0.999564 0.0295408i \(-0.990596\pi\)
0.934781 + 0.355224i \(0.115596\pi\)
\(618\) 0.504503 2.13751i 0.0202941 0.0859831i
\(619\) −30.6432 9.29551i −1.23165 0.373618i −0.393639 0.919265i \(-0.628784\pi\)
−0.838015 + 0.545647i \(0.816284\pi\)
\(620\) −25.3021 + 40.2019i −1.01616 + 1.61455i
\(621\) −0.980131 + 0.804372i −0.0393313 + 0.0322784i
\(622\) 4.05382 30.1605i 0.162543 1.20932i
\(623\) 5.82752 + 2.41384i 0.233475 + 0.0967084i
\(624\) 3.56362 + 7.42808i 0.142659 + 0.297361i
\(625\) 30.2658 12.5365i 1.21063 0.501461i
\(626\) −7.38242 27.8531i −0.295061 1.11323i
\(627\) 26.5583 + 2.61577i 1.06064 + 0.104464i
\(628\) −6.47295 2.47635i −0.258299 0.0988172i
\(629\) 4.53576 2.42441i 0.180852 0.0966677i
\(630\) 19.3596 + 13.9524i 0.771303 + 0.555875i
\(631\) 12.0183 8.03036i 0.478440 0.319684i −0.292860 0.956155i \(-0.594607\pi\)
0.771300 + 0.636472i \(0.219607\pi\)
\(632\) −32.7599 6.79348i −1.30312 0.270230i
\(633\) −13.8038 + 20.6589i −0.548654 + 0.821118i
\(634\) −10.3028 4.70181i −0.409177 0.186733i
\(635\) 2.27932 + 23.1423i 0.0904519 + 0.918374i
\(636\) −4.78305 3.71149i −0.189660 0.147170i
\(637\) −6.79742 22.4081i −0.269323 0.887840i
\(638\) −28.8427 + 32.7097i −1.14189 + 1.29499i
\(639\) 13.9568 0.552124
\(640\) 43.1799 + 10.9351i 1.70683 + 0.432247i
\(641\) 35.8818 1.41724 0.708622 0.705588i \(-0.249317\pi\)
0.708622 + 0.705588i \(0.249317\pi\)
\(642\) 6.73196 7.63453i 0.265689 0.301311i
\(643\) 8.57341 + 28.2627i 0.338102 + 1.11457i 0.946975 + 0.321306i \(0.104122\pi\)
−0.608873 + 0.793268i \(0.708378\pi\)
\(644\) 6.66295 8.58663i 0.262557 0.338361i
\(645\) 3.41249 + 34.6476i 0.134367 + 1.36425i
\(646\) 10.8085 + 4.93261i 0.425257 + 0.194071i
\(647\) −21.2867 + 31.8578i −0.836866 + 1.25246i 0.128539 + 0.991704i \(0.458971\pi\)
−0.965405 + 0.260754i \(0.916029\pi\)
\(648\) −1.55223 2.36444i −0.0609775 0.0928840i
\(649\) 25.6368 17.1299i 1.00633 0.672409i
\(650\) 24.8136 + 17.8831i 0.973269 + 0.701432i
\(651\) −22.8021 + 12.1880i −0.893686 + 0.477685i
\(652\) −16.0503 + 41.9539i −0.628577 + 1.64304i
\(653\) −32.6894 3.21962i −1.27923 0.125994i −0.564526 0.825416i \(-0.690941\pi\)
−0.714709 + 0.699422i \(0.753441\pi\)
\(654\) −1.15530 4.35882i −0.0451758 0.170443i
\(655\) −22.4314 + 9.29137i −0.876466 + 0.363044i
\(656\) −9.63663 + 0.526855i −0.376247 + 0.0205702i
\(657\) −2.80877 1.16343i −0.109581 0.0453898i
\(658\) −6.26578 + 46.6174i −0.244265 + 1.81734i
\(659\) 12.2693 10.0691i 0.477943 0.392238i −0.364346 0.931264i \(-0.618707\pi\)
0.842289 + 0.539026i \(0.181207\pi\)
\(660\) 40.1008 + 25.2385i 1.56092 + 0.982406i
\(661\) −6.43890 1.95322i −0.250444 0.0759714i 0.162566 0.986698i \(-0.448023\pi\)
−0.413011 + 0.910726i \(0.635523\pi\)
\(662\) −1.15859 + 4.90877i −0.0450299 + 0.190785i
\(663\) −0.761165 + 3.82664i −0.0295612 + 0.148614i
\(664\) 3.61247 0.326188i 0.140191 0.0126585i
\(665\) 73.3971 14.5996i 2.84622 0.566148i
\(666\) −2.80950 + 2.61714i −0.108866 + 0.101412i
\(667\) −5.02280 4.12210i −0.194483 0.159608i
\(668\) −1.94307 + 0.647870i −0.0751798 + 0.0250668i
\(669\) 13.1733 24.6455i 0.509310 0.952852i
\(670\) −7.59025 + 22.1628i −0.293237 + 0.856223i
\(671\) 43.6474 43.6474i 1.68499 1.68499i
\(672\) 17.4694 + 16.8116i 0.673895 + 0.648521i
\(673\) −21.7467 21.7467i −0.838274 0.838274i 0.150358 0.988632i \(-0.451957\pi\)
−0.988632 + 0.150358i \(0.951957\pi\)
\(674\) 12.7258 6.23288i 0.490179 0.240081i
\(675\) −9.26070 4.94995i −0.356444 0.190523i
\(676\) 1.24021 17.4716i 0.0477006 0.671983i
\(677\) 30.7812 37.5070i 1.18302 1.44151i 0.312125 0.950041i \(-0.398959\pi\)
0.870893 0.491472i \(-0.163541\pi\)
\(678\) 0.406354 11.4634i 0.0156059 0.440251i
\(679\) 3.74818 + 18.8434i 0.143842 + 0.723141i
\(680\) 13.2492 + 16.4143i 0.508082 + 0.629459i
\(681\) −13.1478 2.61527i −0.503826 0.100217i
\(682\) −43.6684 + 26.9910i −1.67215 + 1.03354i
\(683\) 6.69108 22.0575i 0.256027 0.844008i −0.730850 0.682538i \(-0.760876\pi\)
0.986878 0.161471i \(-0.0516237\pi\)
\(684\) −8.74346 1.49224i −0.334314 0.0570572i
\(685\) −47.1582 57.4624i −1.80182 2.19553i
\(686\) −16.0639 21.0526i −0.613321 0.803793i
\(687\) −3.45832 + 8.34912i −0.131943 + 0.318539i
\(688\) −1.54020 + 35.3381i −0.0587195 + 1.34725i
\(689\) −2.38594 5.76018i −0.0908972 0.219445i
\(690\) −3.54641 + 6.10432i −0.135009 + 0.232387i
\(691\) 0.726340 7.37466i 0.0276313 0.280545i −0.971434 0.237311i \(-0.923734\pi\)
0.999065 0.0432340i \(-0.0137661\pi\)
\(692\) −8.10358 + 8.55872i −0.308052 + 0.325354i
\(693\) 12.1573 + 22.7448i 0.461819 + 0.864003i
\(694\) −21.3331 + 3.46279i −0.809794 + 0.131446i
\(695\) 25.7939 + 38.6033i 0.978419 + 1.46431i
\(696\) 10.3322 10.1656i 0.391640 0.385328i
\(697\) −3.80019 2.53921i −0.143943 0.0961793i
\(698\) −7.75029 20.7624i −0.293353 0.785869i
\(699\) −4.39968 + 0.433331i −0.166411 + 0.0163901i
\(700\) 86.8147 + 23.7666i 3.28129 + 0.898294i
\(701\) −3.50887 + 1.06440i −0.132528 + 0.0402020i −0.355852 0.934542i \(-0.615809\pi\)
0.223324 + 0.974744i \(0.428309\pi\)
\(702\) −0.182635 2.90708i −0.00689312 0.109721i
\(703\) 12.0410i 0.454134i
\(704\) 36.7110 + 31.1398i 1.38360 + 1.17362i
\(705\) 30.5529i 1.15069i
\(706\) −43.2016 + 2.71411i −1.62592 + 0.102147i
\(707\) 50.0081 15.1698i 1.88075 0.570518i
\(708\) −8.90262 + 5.07584i −0.334581 + 0.190762i
\(709\) 40.6235 4.00107i 1.52565 0.150263i 0.699875 0.714266i \(-0.253239\pi\)
0.825773 + 0.564002i \(0.190739\pi\)
\(710\) 72.8030 27.1762i 2.73225 1.01991i
\(711\) 9.83529 + 6.57173i 0.368852 + 0.246459i
\(712\) −3.83273 1.62417i −0.143638 0.0608684i
\(713\) −4.24952 6.35986i −0.159146 0.238179i
\(714\) 1.83962 + 11.3333i 0.0688461 + 0.424138i
\(715\) 23.0021 + 43.0339i 0.860229 + 1.60938i
\(716\) −6.97226 + 0.190452i −0.260565 + 0.00711752i
\(717\) 0.852734 8.65795i 0.0318459 0.323337i
\(718\) 4.51204 + 2.62134i 0.168388 + 0.0978277i
\(719\) −3.88796 9.38637i −0.144996 0.350052i 0.834651 0.550780i \(-0.185670\pi\)
−0.979647 + 0.200727i \(0.935670\pi\)
\(720\) −12.7009 9.31116i −0.473333 0.347007i
\(721\) 2.54710 6.14925i 0.0948591 0.229010i
\(722\) −0.751828 + 0.573670i −0.0279801 + 0.0213498i
\(723\) 2.40600 + 2.93171i 0.0894800 + 0.109032i
\(724\) 4.84874 3.43497i 0.180202 0.127660i
\(725\) 15.6207 51.4944i 0.580137 1.91246i
\(726\) 18.7441 + 30.3259i 0.695660 + 1.12550i
\(727\) 1.01493 + 0.201882i 0.0376417 + 0.00748740i 0.213875 0.976861i \(-0.431391\pi\)
−0.176234 + 0.984348i \(0.556391\pi\)
\(728\) 7.05351 + 23.9511i 0.261420 + 0.887685i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −16.9168 0.599663i −0.626118 0.0221945i
\(731\) −10.6267 + 12.9487i −0.393044 + 0.478925i
\(732\) −15.4979 + 13.4435i −0.572817 + 0.496885i
\(733\) 3.04136 + 1.62564i 0.112335 + 0.0600445i 0.526607 0.850109i \(-0.323464\pi\)
−0.414272 + 0.910153i \(0.635964\pi\)
\(734\) −1.45758 2.97596i −0.0538002 0.109845i
\(735\) 31.6506 + 31.6506i 1.16745 + 1.16745i
\(736\) −4.44302 + 5.63073i −0.163772 + 0.207551i
\(737\) −17.9024 + 17.9024i −0.659445 + 0.659445i
\(738\) 3.22809 + 1.10555i 0.118828 + 0.0406957i
\(739\) −0.0209360 + 0.0391685i −0.000770144 + 0.00144084i −0.882306 0.470676i \(-0.844010\pi\)
0.881536 + 0.472117i \(0.156510\pi\)
\(740\) −9.55920 + 19.1224i −0.351403 + 0.702952i
\(741\) −7.06107 5.79487i −0.259395 0.212880i
\(742\) −12.5060 13.4252i −0.459110 0.492855i
\(743\) −27.4347 + 5.45710i −1.00648 + 0.200202i −0.670693 0.741735i \(-0.734003\pi\)
−0.335789 + 0.941937i \(0.609003\pi\)
\(744\) 15.1128 7.92079i 0.554062 0.290390i
\(745\) 12.8724 64.7138i 0.471607 2.37093i
\(746\) −7.84987 1.85276i −0.287404 0.0678344i
\(747\) −1.22718 0.372261i −0.0449001 0.0136203i
\(748\) 5.05642 + 22.2295i 0.184881 + 0.812793i
\(749\) 23.8454 19.5694i 0.871291 0.715050i
\(750\) −30.3536 4.07979i −1.10836 0.148973i
\(751\) −31.5379 13.0634i −1.15083 0.476691i −0.276020 0.961152i \(-0.589016\pi\)
−0.874813 + 0.484461i \(0.839016\pi\)
\(752\) 4.38481 30.7299i 0.159898 1.12061i
\(753\) −13.7059 + 5.67716i −0.499470 + 0.206887i
\(754\) 14.4288 3.82435i 0.525467 0.139274i
\(755\) −5.95774 0.586787i −0.216825 0.0213553i
\(756\) −3.49531 7.82680i −0.127123 0.284658i
\(757\) −24.5996 + 13.1488i −0.894089 + 0.477900i −0.853391 0.521271i \(-0.825458\pi\)
−0.0406977 + 0.999172i \(0.512958\pi\)
\(758\) 9.25476 12.8414i 0.336148 0.466421i
\(759\) −6.34387 + 4.23884i −0.230268 + 0.153860i
\(760\) −48.5141 + 9.24098i −1.75979 + 0.335206i
\(761\) −27.1461 + 40.6271i −0.984047 + 1.47273i −0.105878 + 0.994379i \(0.533765\pi\)
−0.878169 + 0.478351i \(0.841235\pi\)
\(762\) 3.46794 7.59910i 0.125630 0.275286i
\(763\) −1.33949 13.6001i −0.0484930 0.492357i
\(764\) −45.0250 + 5.67974i −1.62895 + 0.205486i
\(765\) −2.16493 7.13682i −0.0782732 0.258032i
\(766\) 39.1770 + 34.5454i 1.41552 + 1.24818i
\(767\) −10.5537 −0.381072
\(768\) −11.4382 11.1879i −0.412739 0.403708i
\(769\) 27.4616 0.990290 0.495145 0.868810i \(-0.335115\pi\)
0.495145 + 0.868810i \(0.335115\pi\)
\(770\) 107.704 + 94.9711i 3.88138 + 3.42252i
\(771\) 2.12692 + 7.01152i 0.0765993 + 0.252514i
\(772\) −35.0004 + 4.41518i −1.25969 + 0.158906i
\(773\) −4.55657 46.2636i −0.163888 1.66399i −0.628003 0.778211i \(-0.716128\pi\)
0.464115 0.885775i </