Properties

Label 690.2.w.b.493.9
Level $690$
Weight $2$
Character 690.493
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 493.9
Character \(\chi\) \(=\) 690.493
Dual form 690.2.w.b.7.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 + 0.0713392i) q^{2} +(0.212565 + 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(0.0285953 - 2.23589i) q^{5} +(0.142315 + 0.989821i) q^{6} +(-1.81898 - 3.33121i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 + 0.0713392i) q^{2} +(0.212565 + 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(0.0285953 - 2.23589i) q^{5} +(0.142315 + 0.989821i) q^{6} +(-1.81898 - 3.33121i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +(0.188029 - 2.22815i) q^{10} +(-0.824208 - 0.714181i) q^{11} +(0.0713392 + 0.997452i) q^{12} +(1.85393 + 1.01232i) q^{13} +(-1.57670 - 3.45249i) q^{14} +(2.19087 - 0.447330i) q^{15} +(0.959493 + 0.281733i) q^{16} +(4.77311 - 6.37613i) q^{17} +(-0.936950 + 0.349464i) q^{18} +(0.435879 - 3.03161i) q^{19} +(0.346504 - 2.20906i) q^{20} +(2.86843 - 2.48551i) q^{21} +(-0.771159 - 0.771159i) q^{22} +(-1.64562 + 4.50466i) q^{23} +1.00000i q^{24} +(-4.99836 - 0.127872i) q^{25} +(1.77699 + 1.14200i) q^{26} +(-0.599278 - 0.800541i) q^{27} +(-1.32638 - 3.55617i) q^{28} +(3.03728 - 0.436695i) q^{29} +(2.21720 - 0.289895i) q^{30} +(4.68740 - 3.01241i) q^{31} +(0.936950 + 0.349464i) q^{32} +(0.522661 - 0.957183i) q^{33} +(5.21582 - 6.01938i) q^{34} +(-7.50022 + 3.97177i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(-1.45951 + 3.91310i) q^{37} +(0.651041 - 2.99279i) q^{38} +(-0.595107 + 2.02675i) q^{39} +(0.503213 - 2.17871i) q^{40} +(-3.28427 + 7.19155i) q^{41} +(3.03844 - 2.27455i) q^{42} +(-7.16354 + 1.55833i) q^{43} +(-0.714181 - 0.824208i) q^{44} +(0.902809 + 2.04571i) q^{45} +(-1.96278 + 4.37578i) q^{46} +(2.60941 - 2.60941i) q^{47} +(-0.0713392 + 0.997452i) q^{48} +(-4.00380 + 6.23003i) q^{49} +(-4.97651 - 0.484125i) q^{50} +(7.24502 + 3.30869i) q^{51} +(1.69099 + 1.26586i) q^{52} +(8.56066 - 4.67447i) q^{53} +(-0.540641 - 0.841254i) q^{54} +(-1.62039 + 1.82241i) q^{55} +(-1.06931 - 3.64173i) q^{56} +(3.05498 - 0.218496i) q^{57} +(3.06070 - 0.218905i) q^{58} +(2.33393 + 7.94863i) q^{59} +(2.23223 - 0.130984i) q^{60} +(2.89919 + 4.51123i) q^{61} +(4.89036 - 2.67034i) q^{62} +(3.03844 + 2.27455i) q^{63} +(0.909632 + 0.415415i) q^{64} +(2.31645 - 4.11623i) q^{65} +(0.589614 - 0.917457i) q^{66} +(-0.00898434 + 0.125617i) q^{67} +(5.63195 - 5.63195i) q^{68} +(-4.75151 - 0.650474i) q^{69} +(-7.76445 + 3.42659i) q^{70} +(4.04850 + 4.67221i) q^{71} +(-0.977147 + 0.212565i) q^{72} +(3.31190 - 2.47926i) q^{73} +(-1.73495 + 3.79901i) q^{74} +(-0.937529 - 4.91132i) q^{75} +(0.862885 - 2.93872i) q^{76} +(-0.879869 + 4.04469i) q^{77} +(-0.738178 + 1.97913i) q^{78} +(-14.2008 + 4.16973i) q^{79} +(0.657359 - 2.13726i) q^{80} +(0.654861 - 0.755750i) q^{81} +(-3.78894 + 6.93893i) q^{82} +(-1.10240 - 0.411173i) q^{83} +(3.19296 - 2.05199i) q^{84} +(-14.1198 - 10.8545i) q^{85} +(-7.25646 + 1.04332i) q^{86} +(1.07234 + 2.87504i) q^{87} +(-0.653563 - 0.873057i) q^{88} +(1.56947 + 1.00864i) q^{89} +(0.754569 + 2.10490i) q^{90} -8.01724i q^{91} +(-2.26995 + 4.22461i) q^{92} +(3.93995 + 3.93995i) q^{93} +(2.78891 - 2.41661i) q^{94} +(-6.76586 - 1.06127i) q^{95} +(-0.142315 + 0.989821i) q^{96} +(-6.93649 + 2.58718i) q^{97} +(-4.43804 + 5.92853i) q^{98} +(1.04641 + 0.307253i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{3}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 + 0.0713392i 0.705305 + 0.0504444i
\(3\) 0.212565 + 0.977147i 0.122725 + 0.564156i
\(4\) 0.989821 + 0.142315i 0.494911 + 0.0711574i
\(5\) 0.0285953 2.23589i 0.0127882 0.999918i
\(6\) 0.142315 + 0.989821i 0.0580998 + 0.404093i
\(7\) −1.81898 3.33121i −0.687509 1.25908i −0.955310 0.295605i \(-0.904479\pi\)
0.267801 0.963474i \(-0.413703\pi\)
\(8\) 0.977147 + 0.212565i 0.345474 + 0.0751532i
\(9\) −0.909632 + 0.415415i −0.303211 + 0.138472i
\(10\) 0.188029 2.22815i 0.0594599 0.704602i
\(11\) −0.824208 0.714181i −0.248508 0.215334i 0.521695 0.853132i \(-0.325300\pi\)
−0.770203 + 0.637798i \(0.779845\pi\)
\(12\) 0.0713392 + 0.997452i 0.0205938 + 0.287940i
\(13\) 1.85393 + 1.01232i 0.514189 + 0.280768i 0.715321 0.698796i \(-0.246280\pi\)
−0.201133 + 0.979564i \(0.564462\pi\)
\(14\) −1.57670 3.45249i −0.421390 0.922716i
\(15\) 2.19087 0.447330i 0.565679 0.115500i
\(16\) 0.959493 + 0.281733i 0.239873 + 0.0704331i
\(17\) 4.77311 6.37613i 1.15765 1.54644i 0.371467 0.928446i \(-0.378855\pi\)
0.786183 0.617994i \(-0.212054\pi\)
\(18\) −0.936950 + 0.349464i −0.220841 + 0.0823695i
\(19\) 0.435879 3.03161i 0.0999975 0.695498i −0.876725 0.480992i \(-0.840277\pi\)
0.976723 0.214506i \(-0.0688142\pi\)
\(20\) 0.346504 2.20906i 0.0774806 0.493960i
\(21\) 2.86843 2.48551i 0.625943 0.542383i
\(22\) −0.771159 0.771159i −0.164412 0.164412i
\(23\) −1.64562 + 4.50466i −0.343135 + 0.939286i
\(24\) 1.00000i 0.204124i
\(25\) −4.99836 0.127872i −0.999673 0.0255743i
\(26\) 1.77699 + 1.14200i 0.348497 + 0.223965i
\(27\) −0.599278 0.800541i −0.115331 0.154064i
\(28\) −1.32638 3.55617i −0.250663 0.672053i
\(29\) 3.03728 0.436695i 0.564009 0.0810923i 0.145588 0.989345i \(-0.453493\pi\)
0.418421 + 0.908253i \(0.362584\pi\)
\(30\) 2.21720 0.289895i 0.404803 0.0529274i
\(31\) 4.68740 3.01241i 0.841883 0.541045i −0.0471506 0.998888i \(-0.515014\pi\)
0.889033 + 0.457843i \(0.151378\pi\)
\(32\) 0.936950 + 0.349464i 0.165631 + 0.0617771i
\(33\) 0.522661 0.957183i 0.0909836 0.166624i
\(34\) 5.21582 6.01938i 0.894506 1.03231i
\(35\) −7.50022 + 3.97177i −1.26777 + 0.671352i
\(36\) −0.959493 + 0.281733i −0.159915 + 0.0469554i
\(37\) −1.45951 + 3.91310i −0.239942 + 0.643309i −0.999978 0.00657114i \(-0.997908\pi\)
0.760036 + 0.649880i \(0.225181\pi\)
\(38\) 0.651041 2.99279i 0.105613 0.485494i
\(39\) −0.595107 + 2.02675i −0.0952935 + 0.324540i
\(40\) 0.503213 2.17871i 0.0795650 0.344484i
\(41\) −3.28427 + 7.19155i −0.512917 + 1.12313i 0.459135 + 0.888367i \(0.348159\pi\)
−0.972052 + 0.234765i \(0.924568\pi\)
\(42\) 3.03844 2.27455i 0.468841 0.350970i
\(43\) −7.16354 + 1.55833i −1.09243 + 0.237644i −0.722469 0.691404i \(-0.756993\pi\)
−0.369961 + 0.929047i \(0.620629\pi\)
\(44\) −0.714181 0.824208i −0.107667 0.124254i
\(45\) 0.902809 + 2.04571i 0.134583 + 0.304957i
\(46\) −1.96278 + 4.37578i −0.289396 + 0.645174i
\(47\) 2.60941 2.60941i 0.380621 0.380621i −0.490705 0.871326i \(-0.663261\pi\)
0.871326 + 0.490705i \(0.163261\pi\)
\(48\) −0.0713392 + 0.997452i −0.0102969 + 0.143970i
\(49\) −4.00380 + 6.23003i −0.571971 + 0.890005i
\(50\) −4.97651 0.484125i −0.703784 0.0684656i
\(51\) 7.24502 + 3.30869i 1.01451 + 0.463309i
\(52\) 1.69099 + 1.26586i 0.234499 + 0.175544i
\(53\) 8.56066 4.67447i 1.17590 0.642089i 0.232125 0.972686i \(-0.425432\pi\)
0.943772 + 0.330597i \(0.107250\pi\)
\(54\) −0.540641 0.841254i −0.0735719 0.114480i
\(55\) −1.62039 + 1.82241i −0.218494 + 0.245734i
\(56\) −1.06931 3.64173i −0.142893 0.486647i
\(57\) 3.05498 0.218496i 0.404641 0.0289405i
\(58\) 3.06070 0.218905i 0.401889 0.0287437i
\(59\) 2.33393 + 7.94863i 0.303852 + 1.03482i 0.959955 + 0.280153i \(0.0903852\pi\)
−0.656104 + 0.754671i \(0.727797\pi\)
\(60\) 2.23223 0.130984i 0.288179 0.0169099i
\(61\) 2.89919 + 4.51123i 0.371204 + 0.577604i 0.975729 0.218982i \(-0.0702735\pi\)
−0.604525 + 0.796586i \(0.706637\pi\)
\(62\) 4.89036 2.67034i 0.621077 0.339134i
\(63\) 3.03844 + 2.27455i 0.382807 + 0.286566i
\(64\) 0.909632 + 0.415415i 0.113704 + 0.0519269i
\(65\) 2.31645 4.11623i 0.287321 0.510556i
\(66\) 0.589614 0.917457i 0.0725765 0.112931i
\(67\) −0.00898434 + 0.125617i −0.00109761 + 0.0153466i −0.997971 0.0636638i \(-0.979721\pi\)
0.996874 + 0.0790104i \(0.0251760\pi\)
\(68\) 5.63195 5.63195i 0.682974 0.682974i
\(69\) −4.75151 0.650474i −0.572015 0.0783079i
\(70\) −7.76445 + 3.42659i −0.928030 + 0.409556i
\(71\) 4.04850 + 4.67221i 0.480468 + 0.554490i 0.943294 0.331960i \(-0.107710\pi\)
−0.462826 + 0.886449i \(0.653164\pi\)
\(72\) −0.977147 + 0.212565i −0.115158 + 0.0250511i
\(73\) 3.31190 2.47926i 0.387629 0.290175i −0.387635 0.921813i \(-0.626708\pi\)
0.775264 + 0.631638i \(0.217617\pi\)
\(74\) −1.73495 + 3.79901i −0.201684 + 0.441626i
\(75\) −0.937529 4.91132i −0.108257 0.567110i
\(76\) 0.862885 2.93872i 0.0989797 0.337094i
\(77\) −0.879869 + 4.04469i −0.100270 + 0.460935i
\(78\) −0.738178 + 1.97913i −0.0835822 + 0.224093i
\(79\) −14.2008 + 4.16973i −1.59771 + 0.469131i −0.954909 0.296900i \(-0.904047\pi\)
−0.642804 + 0.766030i \(0.722229\pi\)
\(80\) 0.657359 2.13726i 0.0734949 0.238953i
\(81\) 0.654861 0.755750i 0.0727623 0.0839722i
\(82\) −3.78894 + 6.93893i −0.418419 + 0.766277i
\(83\) −1.10240 0.411173i −0.121004 0.0451321i 0.288233 0.957560i \(-0.406932\pi\)
−0.409237 + 0.912428i \(0.634205\pi\)
\(84\) 3.19296 2.05199i 0.348380 0.223891i
\(85\) −14.1198 10.8545i −1.53151 1.17733i
\(86\) −7.25646 + 1.04332i −0.782484 + 0.112504i
\(87\) 1.07234 + 2.87504i 0.114967 + 0.308237i
\(88\) −0.653563 0.873057i −0.0696700 0.0930682i
\(89\) 1.56947 + 1.00864i 0.166363 + 0.106915i 0.621173 0.783673i \(-0.286656\pi\)
−0.454810 + 0.890589i \(0.650293\pi\)
\(90\) 0.754569 + 2.10490i 0.0795386 + 0.221876i
\(91\) 8.01724i 0.840435i
\(92\) −2.26995 + 4.22461i −0.236658 + 0.440446i
\(93\) 3.93995 + 3.93995i 0.408554 + 0.408554i
\(94\) 2.78891 2.41661i 0.287654 0.249254i
\(95\) −6.76586 1.06127i −0.694162 0.108884i
\(96\) −0.142315 + 0.989821i −0.0145249 + 0.101023i
\(97\) −6.93649 + 2.58718i −0.704294 + 0.262688i −0.675990 0.736911i \(-0.736284\pi\)
−0.0283047 + 0.999599i \(0.509011\pi\)
\(98\) −4.43804 + 5.92853i −0.448310 + 0.598872i
\(99\) 1.04641 + 0.307253i 0.105168 + 0.0308801i
\(100\) −4.92929 0.837912i −0.492929 0.0837912i
\(101\) 3.99386 + 8.74532i 0.397404 + 0.870192i 0.997527 + 0.0702849i \(0.0223908\pi\)
−0.600123 + 0.799907i \(0.704882\pi\)
\(102\) 6.99052 + 3.81711i 0.692165 + 0.377950i
\(103\) −1.15648 16.1698i −0.113952 1.59325i −0.657223 0.753696i \(-0.728269\pi\)
0.543271 0.839557i \(-0.317186\pi\)
\(104\) 1.59638 + 1.38327i 0.156538 + 0.135641i
\(105\) −5.47529 6.48456i −0.534334 0.632828i
\(106\) 8.87232 4.05185i 0.861756 0.393551i
\(107\) 0.587265 + 0.127752i 0.0567731 + 0.0123502i 0.240862 0.970559i \(-0.422570\pi\)
−0.184089 + 0.982910i \(0.558933\pi\)
\(108\) −0.479249 0.877679i −0.0461158 0.0844547i
\(109\) 1.18599 + 8.24871i 0.113597 + 0.790084i 0.964371 + 0.264552i \(0.0852242\pi\)
−0.850774 + 0.525531i \(0.823867\pi\)
\(110\) −1.74627 + 1.70217i −0.166501 + 0.162296i
\(111\) −4.13391 0.594367i −0.392374 0.0564148i
\(112\) −0.806787 3.70874i −0.0762342 0.350443i
\(113\) 18.0022 + 1.28754i 1.69351 + 0.121122i 0.884458 0.466620i \(-0.154528\pi\)
0.809048 + 0.587742i \(0.199983\pi\)
\(114\) 3.06278 0.286856
\(115\) 10.0248 + 3.80822i 0.934821 + 0.355118i
\(116\) 3.06852 0.284904
\(117\) −2.10693 0.150691i −0.194786 0.0139314i
\(118\) 1.76093 + 8.09488i 0.162107 + 0.745194i
\(119\) −29.9224 4.30220i −2.74299 0.394382i
\(120\) 2.23589 + 0.0285953i 0.204107 + 0.00261038i
\(121\) −1.39620 9.71077i −0.126927 0.882797i
\(122\) 2.56998 + 4.70657i 0.232675 + 0.426113i
\(123\) −7.72533 1.68054i −0.696569 0.151529i
\(124\) 5.06840 2.31466i 0.455156 0.207863i
\(125\) −0.428836 + 11.1721i −0.0383563 + 0.999264i
\(126\) 2.86843 + 2.48551i 0.255540 + 0.221427i
\(127\) 0.457526 + 6.39705i 0.0405989 + 0.567646i 0.976519 + 0.215433i \(0.0691163\pi\)
−0.935920 + 0.352213i \(0.885429\pi\)
\(128\) 0.877679 + 0.479249i 0.0775766 + 0.0423600i
\(129\) −3.04544 6.66858i −0.268136 0.587136i
\(130\) 2.60420 3.94049i 0.228404 0.345604i
\(131\) −19.1601 5.62592i −1.67403 0.491539i −0.699279 0.714849i \(-0.746495\pi\)
−0.974747 + 0.223310i \(0.928314\pi\)
\(132\) 0.653563 0.873057i 0.0568853 0.0759899i
\(133\) −10.8918 + 4.06242i −0.944436 + 0.352257i
\(134\) −0.0179229 + 0.124656i −0.00154830 + 0.0107687i
\(135\) −1.80705 + 1.31702i −0.155527 + 0.113351i
\(136\) 6.01938 5.21582i 0.516157 0.447253i
\(137\) 6.93959 + 6.93959i 0.592889 + 0.592889i 0.938411 0.345521i \(-0.112298\pi\)
−0.345521 + 0.938411i \(0.612298\pi\)
\(138\) −4.69300 0.987786i −0.399495 0.0840859i
\(139\) 6.28479i 0.533069i 0.963825 + 0.266535i \(0.0858787\pi\)
−0.963825 + 0.266535i \(0.914121\pi\)
\(140\) −7.98912 + 2.86395i −0.675204 + 0.242048i
\(141\) 3.10445 + 1.99511i 0.261441 + 0.168018i
\(142\) 3.70487 + 4.94913i 0.310906 + 0.415321i
\(143\) −0.805045 2.15841i −0.0673212 0.180495i
\(144\) −0.989821 + 0.142315i −0.0824851 + 0.0118596i
\(145\) −0.889548 6.80350i −0.0738730 0.565000i
\(146\) 3.48033 2.23667i 0.288034 0.185108i
\(147\) −6.93873 2.58801i −0.572296 0.213456i
\(148\) −2.00155 + 3.66556i −0.164526 + 0.301307i
\(149\) −10.4930 + 12.1096i −0.859623 + 0.992058i 0.140375 + 0.990098i \(0.455169\pi\)
−0.999998 + 0.00195920i \(0.999376\pi\)
\(150\) −0.584771 4.96569i −0.0477464 0.405447i
\(151\) −12.0029 + 3.52436i −0.976780 + 0.286809i −0.730895 0.682490i \(-0.760897\pi\)
−0.245886 + 0.969299i \(0.579079\pi\)
\(152\) 1.07033 2.86967i 0.0868154 0.232761i
\(153\) −1.69304 + 7.78276i −0.136874 + 0.629199i
\(154\) −1.16617 + 3.97162i −0.0939728 + 0.320042i
\(155\) −6.60137 10.5666i −0.530235 0.848733i
\(156\) −0.877487 + 1.92143i −0.0702552 + 0.153837i
\(157\) 5.68305 4.25428i 0.453557 0.339529i −0.347951 0.937513i \(-0.613122\pi\)
0.801508 + 0.597984i \(0.204031\pi\)
\(158\) −14.4621 + 3.14603i −1.15054 + 0.250285i
\(159\) 6.38735 + 7.37139i 0.506550 + 0.584589i
\(160\) 0.808154 2.08492i 0.0638902 0.164827i
\(161\) 17.9993 2.71199i 1.41854 0.213734i
\(162\) 0.707107 0.707107i 0.0555556 0.0555556i
\(163\) 1.20151 16.7993i 0.0941095 1.31582i −0.702654 0.711531i \(-0.748002\pi\)
0.796764 0.604291i \(-0.206543\pi\)
\(164\) −4.27431 + 6.65095i −0.333767 + 0.519352i
\(165\) −2.12520 1.19598i −0.165447 0.0931070i
\(166\) −1.07026 0.488769i −0.0830679 0.0379358i
\(167\) 20.0297 + 14.9940i 1.54994 + 1.16027i 0.925225 + 0.379420i \(0.123876\pi\)
0.624717 + 0.780852i \(0.285214\pi\)
\(168\) 3.33121 1.81898i 0.257009 0.140337i
\(169\) −4.61606 7.18273i −0.355082 0.552518i
\(170\) −13.3095 11.8341i −1.02079 0.907634i
\(171\) 0.862885 + 2.93872i 0.0659864 + 0.224729i
\(172\) −7.31240 + 0.522993i −0.557565 + 0.0398779i
\(173\) 14.8690 1.06345i 1.13047 0.0808526i 0.506454 0.862267i \(-0.330956\pi\)
0.624013 + 0.781414i \(0.285501\pi\)
\(174\) 0.864501 + 2.94422i 0.0655376 + 0.223201i
\(175\) 8.66595 + 16.8832i 0.655084 + 1.27625i
\(176\) −0.589614 0.917457i −0.0444438 0.0691560i
\(177\) −7.27087 + 3.97019i −0.546512 + 0.298418i
\(178\) 1.49351 + 1.11803i 0.111944 + 0.0838000i
\(179\) 20.9679 + 9.57570i 1.56721 + 0.715721i 0.994569 0.104084i \(-0.0331910\pi\)
0.572643 + 0.819805i \(0.305918\pi\)
\(180\) 0.602485 + 2.15337i 0.0449066 + 0.160503i
\(181\) −1.31753 + 2.05012i −0.0979314 + 0.152384i −0.886762 0.462227i \(-0.847051\pi\)
0.788830 + 0.614611i \(0.210687\pi\)
\(182\) 0.571943 7.99681i 0.0423953 0.592763i
\(183\) −3.79187 + 3.79187i −0.280303 + 0.280303i
\(184\) −2.56554 + 4.05191i −0.189134 + 0.298711i
\(185\) 8.70750 + 3.37519i 0.640188 + 0.248149i
\(186\) 3.64884 + 4.21098i 0.267546 + 0.308764i
\(187\) −8.48775 + 1.84640i −0.620686 + 0.135022i
\(188\) 2.95421 2.21149i 0.215458 0.161290i
\(189\) −1.57670 + 3.45249i −0.114688 + 0.251132i
\(190\) −6.67291 1.54123i −0.484104 0.111813i
\(191\) 1.75293 5.96993i 0.126838 0.431969i −0.871449 0.490486i \(-0.836819\pi\)
0.998286 + 0.0585174i \(0.0186373\pi\)
\(192\) −0.212565 + 0.977147i −0.0153406 + 0.0705195i
\(193\) 4.15606 11.1428i 0.299160 0.802078i −0.697204 0.716873i \(-0.745573\pi\)
0.996363 0.0852053i \(-0.0271546\pi\)
\(194\) −7.10339 + 2.08574i −0.509994 + 0.149748i
\(195\) 4.51456 + 1.38855i 0.323295 + 0.0994360i
\(196\) −4.84967 + 5.59682i −0.346405 + 0.399773i
\(197\) 5.07045 9.28584i 0.361255 0.661589i −0.632327 0.774701i \(-0.717900\pi\)
0.993582 + 0.113112i \(0.0360820\pi\)
\(198\) 1.02182 + 0.381120i 0.0726177 + 0.0270850i
\(199\) −17.8524 + 11.4731i −1.26553 + 0.813304i −0.989030 0.147711i \(-0.952809\pi\)
−0.276495 + 0.961015i \(0.589173\pi\)
\(200\) −4.85696 1.18743i −0.343439 0.0839639i
\(201\) −0.124656 + 0.0179229i −0.00879259 + 0.00126418i
\(202\) 3.35980 + 9.00796i 0.236394 + 0.633798i
\(203\) −6.97948 9.32349i −0.489863 0.654381i
\(204\) 6.70040 + 4.30609i 0.469122 + 0.301486i
\(205\) 15.9856 + 7.54890i 1.11648 + 0.527238i
\(206\) 16.2111i 1.12948i
\(207\) −0.374398 4.78120i −0.0260225 0.332316i
\(208\) 1.49363 + 1.49363i 0.103565 + 0.103565i
\(209\) −2.52437 + 2.18738i −0.174614 + 0.151304i
\(210\) −4.99874 6.85864i −0.344946 0.473291i
\(211\) 0.312855 2.17596i 0.0215379 0.149799i −0.976215 0.216806i \(-0.930436\pi\)
0.997752 + 0.0670073i \(0.0213451\pi\)
\(212\) 9.13877 3.40859i 0.627654 0.234103i
\(213\) −3.70487 + 4.94913i −0.253853 + 0.339108i
\(214\) 0.576655 + 0.169321i 0.0394193 + 0.0115746i
\(215\) 3.27941 + 16.0614i 0.223654 + 1.09538i
\(216\) −0.415415 0.909632i −0.0282654 0.0618926i
\(217\) −18.5613 10.1352i −1.26002 0.688024i
\(218\) 0.594508 + 8.31230i 0.0402651 + 0.562980i
\(219\) 3.12660 + 2.70921i 0.211276 + 0.183071i
\(220\) −1.86326 + 1.57326i −0.125621 + 0.106069i
\(221\) 15.3038 6.98899i 1.02944 0.470130i
\(222\) −4.08098 0.887762i −0.273897 0.0595827i
\(223\) 4.01570 + 7.35421i 0.268911 + 0.492474i 0.976885 0.213764i \(-0.0685724\pi\)
−0.707974 + 0.706238i \(0.750391\pi\)
\(224\) −0.540153 3.75685i −0.0360905 0.251015i
\(225\) 4.59979 1.96008i 0.306653 0.130672i
\(226\) 17.8645 + 2.56853i 1.18833 + 0.170856i
\(227\) 1.67691 + 7.70864i 0.111301 + 0.511640i 0.998716 + 0.0506688i \(0.0161353\pi\)
−0.887415 + 0.460971i \(0.847501\pi\)
\(228\) 3.05498 + 0.218496i 0.202321 + 0.0144703i
\(229\) 4.27189 0.282295 0.141147 0.989989i \(-0.454921\pi\)
0.141147 + 0.989989i \(0.454921\pi\)
\(230\) 9.72762 + 4.51368i 0.641421 + 0.297623i
\(231\) −4.13929 −0.272345
\(232\) 3.06070 + 0.218905i 0.200945 + 0.0143718i
\(233\) −5.89002 27.0760i −0.385868 1.77381i −0.603080 0.797681i \(-0.706060\pi\)
0.217212 0.976124i \(-0.430304\pi\)
\(234\) −2.09081 0.300614i −0.136681 0.0196517i
\(235\) −5.75972 5.90896i −0.375723 0.385458i
\(236\) 1.17896 + 8.19988i 0.0767441 + 0.533767i
\(237\) −7.09303 12.9899i −0.460742 0.843785i
\(238\) −29.5393 6.42588i −1.91475 0.416528i
\(239\) 15.7615 7.19805i 1.01953 0.465603i 0.165711 0.986174i \(-0.447008\pi\)
0.853818 + 0.520571i \(0.174281\pi\)
\(240\) 2.22815 + 0.188029i 0.143826 + 0.0121372i
\(241\) 14.8123 + 12.8350i 0.954146 + 0.826772i 0.984965 0.172753i \(-0.0552661\pi\)
−0.0308190 + 0.999525i \(0.509812\pi\)
\(242\) −0.699882 9.78563i −0.0449901 0.629044i
\(243\) 0.877679 + 0.479249i 0.0563031 + 0.0307438i
\(244\) 2.22767 + 4.87792i 0.142612 + 0.312277i
\(245\) 13.8151 + 9.13018i 0.882617 + 0.583306i
\(246\) −7.58576 2.22738i −0.483650 0.142012i
\(247\) 3.87706 5.17914i 0.246691 0.329541i
\(248\) 5.22062 1.94719i 0.331509 0.123647i
\(249\) 0.167445 1.16460i 0.0106114 0.0738038i
\(250\) −1.22475 + 11.1131i −0.0774602 + 0.702851i
\(251\) 1.57174 1.36192i 0.0992073 0.0859636i −0.603845 0.797102i \(-0.706365\pi\)
0.703052 + 0.711138i \(0.251820\pi\)
\(252\) 2.68381 + 2.68381i 0.169064 + 0.169064i
\(253\) 4.57347 2.53751i 0.287532 0.159532i
\(254\) 6.41339i 0.402412i
\(255\) 7.60502 16.1044i 0.476245 1.00850i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) −4.67810 6.24922i −0.291812 0.389815i 0.630546 0.776152i \(-0.282831\pi\)
−0.922358 + 0.386337i \(0.873740\pi\)
\(258\) −2.56195 6.86885i −0.159500 0.427636i
\(259\) 15.6902 2.25591i 0.974940 0.140175i
\(260\) 2.87868 3.74467i 0.178528 0.232235i
\(261\) −2.58140 + 1.65896i −0.159785 + 0.102687i
\(262\) −18.7099 6.97845i −1.15590 0.431130i
\(263\) −9.46011 + 17.3249i −0.583335 + 1.06830i 0.404755 + 0.914425i \(0.367357\pi\)
−0.988091 + 0.153874i \(0.950825\pi\)
\(264\) 0.714181 0.824208i 0.0439548 0.0507265i
\(265\) −10.2068 19.2743i −0.626998 1.18401i
\(266\) −11.1538 + 3.27506i −0.683885 + 0.200807i
\(267\) −0.651971 + 1.74800i −0.0399000 + 0.106976i
\(268\) −0.0267701 + 0.123060i −0.00163524 + 0.00751710i
\(269\) −5.03648 + 17.1527i −0.307080 + 1.04582i 0.650943 + 0.759126i \(0.274374\pi\)
−0.958023 + 0.286691i \(0.907445\pi\)
\(270\) −1.89641 + 1.18475i −0.115412 + 0.0721019i
\(271\) −12.1619 + 26.6308i −0.738783 + 1.61771i 0.0467636 + 0.998906i \(0.485109\pi\)
−0.785546 + 0.618803i \(0.787618\pi\)
\(272\) 6.37613 4.77311i 0.386610 0.289413i
\(273\) 7.83402 1.70419i 0.474137 0.103142i
\(274\) 6.42685 + 7.41698i 0.388260 + 0.448076i
\(275\) 4.02837 + 3.67513i 0.242920 + 0.221619i
\(276\) −4.61058 1.32006i −0.277524 0.0794585i
\(277\) −1.08385 + 1.08385i −0.0651220 + 0.0651220i −0.738918 0.673796i \(-0.764663\pi\)
0.673796 + 0.738918i \(0.264663\pi\)
\(278\) −0.448352 + 6.26878i −0.0268904 + 0.375976i
\(279\) −3.01241 + 4.68740i −0.180348 + 0.280628i
\(280\) −8.17308 + 2.28672i −0.488435 + 0.136657i
\(281\) 2.00639 + 0.916286i 0.119691 + 0.0546611i 0.474360 0.880331i \(-0.342679\pi\)
−0.354669 + 0.934992i \(0.615407\pi\)
\(282\) 2.95421 + 2.21149i 0.175920 + 0.131692i
\(283\) 1.72980 0.944545i 0.102826 0.0561474i −0.427013 0.904246i \(-0.640434\pi\)
0.529839 + 0.848098i \(0.322252\pi\)
\(284\) 3.34236 + 5.20082i 0.198333 + 0.308612i
\(285\) −0.401174 6.83682i −0.0237635 0.404978i
\(286\) −0.649015 2.21034i −0.0383770 0.130700i
\(287\) 29.9306 2.14068i 1.76675 0.126360i
\(288\) −0.997452 + 0.0713392i −0.0587754 + 0.00420370i
\(289\) −13.0830 44.5567i −0.769589 2.62098i
\(290\) −0.401926 6.84963i −0.0236019 0.402224i
\(291\) −4.00251 6.22803i −0.234631 0.365094i
\(292\) 3.63103 1.98269i 0.212490 0.116028i
\(293\) −3.41712 2.55802i −0.199630 0.149441i 0.494786 0.869015i \(-0.335246\pi\)
−0.694416 + 0.719574i \(0.744337\pi\)
\(294\) −6.73642 3.07642i −0.392876 0.179420i
\(295\) 17.8390 4.99110i 1.03862 0.290593i
\(296\) −2.25794 + 3.51343i −0.131240 + 0.204214i
\(297\) −0.0778014 + 1.08781i −0.00451449 + 0.0631209i
\(298\) −11.3302 + 11.3302i −0.656340 + 0.656340i
\(299\) −7.61104 + 6.68544i −0.440158 + 0.386629i
\(300\) −0.229033 4.99475i −0.0132232 0.288372i
\(301\) 18.2215 + 21.0287i 1.05027 + 1.21207i
\(302\) −12.2237 + 2.65911i −0.703396 + 0.153014i
\(303\) −7.69651 + 5.76154i −0.442153 + 0.330992i
\(304\) 1.27232 2.78600i 0.0729728 0.159788i
\(305\) 10.1695 6.35327i 0.582304 0.363787i
\(306\) −2.24394 + 7.64215i −0.128277 + 0.436873i
\(307\) 4.44894 20.4515i 0.253915 1.16723i −0.656759 0.754100i \(-0.728073\pi\)
0.910674 0.413126i \(-0.135563\pi\)
\(308\) −1.44653 + 3.87830i −0.0824238 + 0.220987i
\(309\) 15.5544 4.56718i 0.884859 0.259818i
\(310\) −5.83073 11.0107i −0.331163 0.625363i
\(311\) 4.09723 4.72846i 0.232333 0.268126i −0.627597 0.778538i \(-0.715962\pi\)
0.859930 + 0.510412i \(0.170507\pi\)
\(312\) −1.01232 + 1.85393i −0.0573116 + 0.104958i
\(313\) −25.2039 9.40056i −1.42461 0.531351i −0.485275 0.874361i \(-0.661281\pi\)
−0.939332 + 0.343010i \(0.888553\pi\)
\(314\) 5.97207 3.83802i 0.337023 0.216592i
\(315\) 5.17251 6.72855i 0.291438 0.379111i
\(316\) −14.6497 + 2.10630i −0.824107 + 0.118489i
\(317\) 0.874729 + 2.34524i 0.0491297 + 0.131722i 0.959197 0.282739i \(-0.0912430\pi\)
−0.910067 + 0.414461i \(0.863970\pi\)
\(318\) 5.84520 + 7.80828i 0.327783 + 0.437867i
\(319\) −2.81523 1.80924i −0.157623 0.101298i
\(320\) 0.954831 2.02195i 0.0533767 0.113031i
\(321\) 0.601000i 0.0335445i
\(322\) 18.1469 1.42102i 1.01129 0.0791904i
\(323\) −17.2494 17.2494i −0.959784 0.959784i
\(324\) 0.755750 0.654861i 0.0419861 0.0363812i
\(325\) −9.13719 5.29703i −0.506840 0.293826i
\(326\) 2.39690 16.6708i 0.132752 0.923309i
\(327\) −7.80811 + 2.91227i −0.431789 + 0.161049i
\(328\) −4.73789 + 6.32908i −0.261606 + 0.349465i
\(329\) −13.4390 3.94603i −0.740914 0.217552i
\(330\) −2.03447 1.34454i −0.111994 0.0740147i
\(331\) 9.44956 + 20.6916i 0.519395 + 1.13732i 0.969668 + 0.244425i \(0.0785993\pi\)
−0.450273 + 0.892891i \(0.648673\pi\)
\(332\) −1.03266 0.563875i −0.0566746 0.0309467i
\(333\) −0.297943 4.16578i −0.0163272 0.228283i
\(334\) 18.9090 + 16.3847i 1.03465 + 0.896531i
\(335\) 0.280609 + 0.0236800i 0.0153313 + 0.00129378i
\(336\) 3.45249 1.57670i 0.188349 0.0860160i
\(337\) 23.2975 + 5.06805i 1.26909 + 0.276074i 0.796194 0.605042i \(-0.206844\pi\)
0.472900 + 0.881116i \(0.343207\pi\)
\(338\) −4.09189 7.49374i −0.222570 0.407606i
\(339\) 2.56853 + 17.8645i 0.139503 + 0.970266i
\(340\) −12.4313 12.7534i −0.674184 0.691652i
\(341\) −6.01480 0.864798i −0.325720 0.0468314i
\(342\) 0.651041 + 2.99279i 0.0352042 + 0.161831i
\(343\) 1.53573 + 0.109838i 0.0829216 + 0.00593067i
\(344\) −7.33108 −0.395265
\(345\) −1.59026 + 10.6052i −0.0856165 + 0.570967i
\(346\) 14.9070 0.801403
\(347\) −10.8491 0.775945i −0.582412 0.0416549i −0.222975 0.974824i \(-0.571577\pi\)
−0.359437 + 0.933169i \(0.617031\pi\)
\(348\) 0.652260 + 2.99839i 0.0349648 + 0.160731i
\(349\) 6.80667 + 0.978651i 0.364353 + 0.0523860i 0.322060 0.946719i \(-0.395625\pi\)
0.0422926 + 0.999105i \(0.486534\pi\)
\(350\) 7.43944 + 17.4584i 0.397655 + 0.933191i
\(351\) −0.300614 2.09081i −0.0160456 0.111599i
\(352\) −0.522661 0.957183i −0.0278579 0.0510180i
\(353\) −9.42090 2.04939i −0.501424 0.109078i −0.0452625 0.998975i \(-0.514412\pi\)
−0.456162 + 0.889897i \(0.650776\pi\)
\(354\) −7.53557 + 3.44138i −0.400511 + 0.182907i
\(355\) 10.5623 8.91837i 0.560589 0.473338i
\(356\) 1.40995 + 1.22173i 0.0747272 + 0.0647515i
\(357\) −2.15659 30.1531i −0.114139 1.59587i
\(358\) 20.2313 + 11.0471i 1.06926 + 0.583859i
\(359\) 6.38997 + 13.9921i 0.337250 + 0.738474i 0.999946 0.0104144i \(-0.00331507\pi\)
−0.662696 + 0.748889i \(0.730588\pi\)
\(360\) 0.447330 + 2.19087i 0.0235763 + 0.115469i
\(361\) 9.22973 + 2.71009i 0.485775 + 0.142636i
\(362\) −1.46043 + 1.95090i −0.0767584 + 0.102537i
\(363\) 9.19206 3.42846i 0.482458 0.179948i
\(364\) 1.14097 7.93564i 0.0598032 0.415940i
\(365\) −5.44863 7.47593i −0.285195 0.391308i
\(366\) −4.05272 + 3.51170i −0.211839 + 0.183560i
\(367\) −9.77773 9.77773i −0.510394 0.510394i 0.404253 0.914647i \(-0.367531\pi\)
−0.914647 + 0.404253i \(0.867531\pi\)
\(368\) −2.84807 + 3.85856i −0.148466 + 0.201142i
\(369\) 7.90600i 0.411570i
\(370\) 8.44453 + 3.98778i 0.439010 + 0.207315i
\(371\) −31.1433 20.0146i −1.61688 1.03911i
\(372\) 3.33913 + 4.46056i 0.173126 + 0.231269i
\(373\) −2.21892 5.94914i −0.114891 0.308035i 0.866759 0.498728i \(-0.166199\pi\)
−0.981650 + 0.190693i \(0.938927\pi\)
\(374\) −8.59785 + 1.23618i −0.444584 + 0.0639215i
\(375\) −11.0080 + 1.95577i −0.568448 + 0.100995i
\(376\) 3.10445 1.99511i 0.160100 0.102890i
\(377\) 6.07300 + 2.26511i 0.312775 + 0.116659i
\(378\) −1.81898 + 3.33121i −0.0935582 + 0.171339i
\(379\) −1.35947 + 1.56891i −0.0698313 + 0.0805896i −0.789590 0.613634i \(-0.789707\pi\)
0.719759 + 0.694224i \(0.244252\pi\)
\(380\) −6.54596 2.01334i −0.335800 0.103282i
\(381\) −6.15360 + 1.80686i −0.315259 + 0.0925683i
\(382\) 2.17435 5.82967i 0.111250 0.298272i
\(383\) 0.187281 0.860916i 0.00956961 0.0439908i −0.972114 0.234507i \(-0.924652\pi\)
0.981684 + 0.190516i \(0.0610161\pi\)
\(384\) −0.281733 + 0.959493i −0.0143771 + 0.0489639i
\(385\) 9.01831 + 2.08294i 0.459615 + 0.106157i
\(386\) 4.94039 10.8179i 0.251459 0.550619i
\(387\) 5.86883 4.39335i 0.298329 0.223327i
\(388\) −7.23409 + 1.57368i −0.367255 + 0.0798914i
\(389\) −20.4642 23.6169i −1.03757 1.19742i −0.979982 0.199085i \(-0.936203\pi\)
−0.0575923 0.998340i \(-0.518342\pi\)
\(390\) 4.40400 + 1.70707i 0.223005 + 0.0864411i
\(391\) 20.8676 + 31.9939i 1.05532 + 1.61800i
\(392\) −5.23659 + 5.23659i −0.264488 + 0.264488i
\(393\) 1.42457 19.9181i 0.0718601 1.00474i
\(394\) 5.71998 8.90046i 0.288168 0.448399i
\(395\) 8.91695 + 31.8706i 0.448661 + 1.60358i
\(396\) 0.992030 + 0.453045i 0.0498514 + 0.0227664i
\(397\) −2.12060 1.58746i −0.106430 0.0796724i 0.544737 0.838607i \(-0.316629\pi\)
−0.651167 + 0.758934i \(0.725720\pi\)
\(398\) −18.6254 + 10.1703i −0.933608 + 0.509789i
\(399\) −6.28479 9.77933i −0.314633 0.489579i
\(400\) −4.75987 1.53089i −0.237994 0.0765447i
\(401\) −9.24389 31.4818i −0.461618 1.57213i −0.781020 0.624506i \(-0.785300\pi\)
0.319402 0.947619i \(-0.396518\pi\)
\(402\) −0.125617 + 0.00898434i −0.00626523 + 0.000448098i
\(403\) 11.7397 0.839638i 0.584795 0.0418253i
\(404\) 2.70861 + 9.22469i 0.134759 + 0.458946i
\(405\) −1.67104 1.48580i −0.0830348 0.0738302i
\(406\) −6.29656 9.79764i −0.312493 0.486249i
\(407\) 3.99760 2.18285i 0.198154 0.108200i
\(408\) 6.37613 + 4.77311i 0.315666 + 0.236304i
\(409\) 19.8746 + 9.07644i 0.982738 + 0.448801i 0.840960 0.541097i \(-0.181991\pi\)
0.141778 + 0.989899i \(0.454718\pi\)
\(410\) 15.4063 + 8.67007i 0.760864 + 0.428184i
\(411\) −5.30588 + 8.25612i −0.261720 + 0.407244i
\(412\) 1.15648 16.1698i 0.0569759 0.796627i
\(413\) 22.2332 22.2332i 1.09402 1.09402i
\(414\) −0.0323578 4.79572i −0.00159030 0.235697i
\(415\) −0.950858 + 2.45307i −0.0466758 + 0.120417i
\(416\) 1.38327 + 1.59638i 0.0678204 + 0.0782690i
\(417\) −6.14117 + 1.33593i −0.300734 + 0.0654207i
\(418\) −2.67398 + 2.00172i −0.130789 + 0.0979072i
\(419\) 15.6924 34.3616i 0.766625 1.67867i 0.0326800 0.999466i \(-0.489596\pi\)
0.733945 0.679209i \(-0.237677\pi\)
\(420\) −4.49671 7.19777i −0.219417 0.351215i
\(421\) 6.28059 21.3897i 0.306097 1.04247i −0.652520 0.757772i \(-0.726288\pi\)
0.958617 0.284699i \(-0.0918937\pi\)
\(422\) 0.467289 2.14809i 0.0227473 0.104568i
\(423\) −1.28961 + 3.45759i −0.0627032 + 0.168114i
\(424\) 9.35865 2.74795i 0.454496 0.133452i
\(425\) −24.6731 + 31.2599i −1.19682 + 1.51633i
\(426\) −4.04850 + 4.67221i −0.196150 + 0.226369i
\(427\) 9.75430 17.8637i 0.472044 0.864484i
\(428\) 0.563107 + 0.210028i 0.0272188 + 0.0101521i
\(429\) 1.93796 1.24545i 0.0935655 0.0601309i
\(430\) 2.12525 + 16.2544i 0.102488 + 0.783859i
\(431\) −36.8541 + 5.29881i −1.77520 + 0.255235i −0.950585 0.310463i \(-0.899516\pi\)
−0.824612 + 0.565698i \(0.808607\pi\)
\(432\) −0.349464 0.936950i −0.0168136 0.0450790i
\(433\) 21.2526 + 28.3901i 1.02133 + 1.36434i 0.929605 + 0.368559i \(0.120149\pi\)
0.0917295 + 0.995784i \(0.470760\pi\)
\(434\) −17.7909 11.4335i −0.853992 0.548828i
\(435\) 6.45893 2.31541i 0.309682 0.111015i
\(436\) 8.33354i 0.399104i
\(437\) 12.9391 + 6.95234i 0.618959 + 0.332576i
\(438\) 2.92536 + 2.92536i 0.139779 + 0.139779i
\(439\) −7.09371 + 6.14673i −0.338564 + 0.293367i −0.807503 0.589863i \(-0.799182\pi\)
0.468939 + 0.883230i \(0.344636\pi\)
\(440\) −1.97074 + 1.43633i −0.0939516 + 0.0684741i
\(441\) 1.05393 7.33028i 0.0501874 0.349061i
\(442\) 15.7633 5.87942i 0.749786 0.279656i
\(443\) 18.0481 24.1095i 0.857492 1.14548i −0.130573 0.991439i \(-0.541682\pi\)
0.988065 0.154037i \(-0.0492275\pi\)
\(444\) −4.00725 1.17663i −0.190176 0.0558406i
\(445\) 2.30007 3.48031i 0.109034 0.164982i
\(446\) 3.48083 + 7.62195i 0.164822 + 0.360910i
\(447\) −14.0633 7.67915i −0.665172 0.363211i
\(448\) −0.270766 3.78581i −0.0127925 0.178863i
\(449\) 10.4448 + 9.05050i 0.492922 + 0.427119i 0.865521 0.500873i \(-0.166988\pi\)
−0.372599 + 0.927993i \(0.621533\pi\)
\(450\) 4.72790 1.62694i 0.222875 0.0766947i
\(451\) 7.84299 3.58177i 0.369312 0.168659i
\(452\) 17.6357 + 3.83642i 0.829516 + 0.180450i
\(453\) −5.99522 10.9794i −0.281680 0.515858i
\(454\) 1.12271 + 7.80863i 0.0526914 + 0.366477i
\(455\) −17.9256 0.229256i −0.840366 0.0107477i
\(456\) 3.03161 + 0.435879i 0.141968 + 0.0204119i
\(457\) 6.53397 + 30.0362i 0.305646 + 1.40503i 0.832004 + 0.554769i \(0.187193\pi\)
−0.526358 + 0.850263i \(0.676443\pi\)
\(458\) 4.26101 + 0.304753i 0.199104 + 0.0142402i
\(459\) −7.96478 −0.371764
\(460\) 9.38084 + 5.19614i 0.437384 + 0.242271i
\(461\) 29.9499 1.39491 0.697453 0.716630i \(-0.254316\pi\)
0.697453 + 0.716630i \(0.254316\pi\)
\(462\) −4.12874 0.295293i −0.192086 0.0137383i
\(463\) −3.18494 14.6409i −0.148017 0.680423i −0.990017 0.140946i \(-0.954986\pi\)
0.842000 0.539477i \(-0.181378\pi\)
\(464\) 3.03728 + 0.436695i 0.141002 + 0.0202731i
\(465\) 8.92194 8.69661i 0.413745 0.403295i
\(466\) −3.94343 27.4272i −0.182676 1.27054i
\(467\) 12.5931 + 23.0625i 0.582739 + 1.06721i 0.988211 + 0.153099i \(0.0489252\pi\)
−0.405472 + 0.914107i \(0.632893\pi\)
\(468\) −2.06404 0.449005i −0.0954103 0.0207552i
\(469\) 0.434801 0.198567i 0.0200772 0.00916896i
\(470\) −5.32351 6.30479i −0.245555 0.290818i
\(471\) 5.36508 + 4.64887i 0.247210 + 0.214208i
\(472\) 0.590988 + 8.26309i 0.0272024 + 0.380340i
\(473\) 7.01718 + 3.83167i 0.322650 + 0.176180i
\(474\) −6.14827 13.4628i −0.282399 0.618368i
\(475\) −2.56634 + 15.0973i −0.117752 + 0.692713i
\(476\) −29.0056 8.51682i −1.32947 0.390368i
\(477\) −5.84520 + 7.80828i −0.267634 + 0.357517i
\(478\) 16.2349 6.05530i 0.742566 0.276963i
\(479\) −3.67809 + 25.5817i −0.168056 + 1.16886i 0.714840 + 0.699288i \(0.246499\pi\)
−0.882896 + 0.469568i \(0.844410\pi\)
\(480\) 2.20906 + 0.346504i 0.100829 + 0.0158157i
\(481\) −6.66716 + 5.77712i −0.303996 + 0.263414i
\(482\) 13.8590 + 13.8590i 0.631258 + 0.631258i
\(483\) 6.47604 + 17.0115i 0.294670 + 0.774050i
\(484\) 9.81063i 0.445938i
\(485\) 5.58628 + 15.5832i 0.253660 + 0.707596i
\(486\) 0.841254 + 0.540641i 0.0381600 + 0.0245240i
\(487\) 11.4835 + 15.3401i 0.520366 + 0.695128i 0.981339 0.192286i \(-0.0615902\pi\)
−0.460973 + 0.887414i \(0.652499\pi\)
\(488\) 1.87401 + 5.02441i 0.0848323 + 0.227444i
\(489\) 16.6708 2.39690i 0.753878 0.108391i
\(490\) 13.1286 + 10.0925i 0.593090 + 0.455932i
\(491\) −14.4234 + 9.26936i −0.650919 + 0.418321i −0.824002 0.566587i \(-0.808264\pi\)
0.173083 + 0.984907i \(0.444627\pi\)
\(492\) −7.40753 2.76287i −0.333957 0.124560i
\(493\) 11.7129 21.4505i 0.527521 0.966083i
\(494\) 4.23665 4.88936i 0.190616 0.219983i
\(495\) 0.716905 2.33086i 0.0322225 0.104764i
\(496\) 5.34623 1.56979i 0.240053 0.0704858i
\(497\) 8.20000 21.9851i 0.367820 0.986164i
\(498\) 0.250100 1.14969i 0.0112073 0.0515189i
\(499\) −0.625577 + 2.13052i −0.0280047 + 0.0953752i −0.972310 0.233697i \(-0.924918\pi\)
0.944305 + 0.329072i \(0.106736\pi\)
\(500\) −2.01443 + 10.9974i −0.0900880 + 0.491817i
\(501\) −10.3937 + 22.7591i −0.464358 + 1.01680i
\(502\) 1.66489 1.24632i 0.0743078 0.0556261i
\(503\) −18.2372 + 3.96725i −0.813155 + 0.176891i −0.599868 0.800099i \(-0.704780\pi\)
−0.213286 + 0.976990i \(0.568417\pi\)
\(504\) 2.48551 + 2.86843i 0.110713 + 0.127770i
\(505\) 19.6677 8.67973i 0.875203 0.386243i
\(506\) 4.74284 2.20478i 0.210845 0.0980143i
\(507\) 6.03737 6.03737i 0.268129 0.268129i
\(508\) −0.457526 + 6.39705i −0.0202994 + 0.283823i
\(509\) −0.766973 + 1.19343i −0.0339955 + 0.0528980i −0.857835 0.513925i \(-0.828191\pi\)
0.823840 + 0.566823i \(0.191827\pi\)
\(510\) 8.73452 15.5208i 0.386771 0.687275i
\(511\) −14.2832 6.52293i −0.631852 0.288557i
\(512\) 0.800541 + 0.599278i 0.0353793 + 0.0264846i
\(513\) −2.68814 + 1.46783i −0.118684 + 0.0648065i
\(514\) −4.22037 6.56703i −0.186153 0.289659i
\(515\) −36.1868 + 2.12339i −1.59458 + 0.0935675i
\(516\) −2.06540 7.03412i −0.0909243 0.309660i
\(517\) −4.01429 + 0.287107i −0.176548 + 0.0126270i
\(518\) 15.8111 1.13083i 0.694701 0.0496860i
\(519\) 4.19978 + 14.3031i 0.184350 + 0.627837i
\(520\) 3.13848 3.52977i 0.137632 0.154791i
\(521\) −4.24600 6.60690i −0.186021 0.289454i 0.735701 0.677307i \(-0.236853\pi\)
−0.921721 + 0.387853i \(0.873217\pi\)
\(522\) −2.69317 + 1.47058i −0.117877 + 0.0643657i
\(523\) 19.4783 + 14.5813i 0.851728 + 0.637595i 0.933310 0.359071i \(-0.116907\pi\)
−0.0815825 + 0.996667i \(0.525997\pi\)
\(524\) −18.1644 8.29542i −0.793517 0.362387i
\(525\) −14.6553 + 12.0567i −0.639609 + 0.526197i
\(526\) −10.6719 + 16.6059i −0.465319 + 0.724051i
\(527\) 3.16597 44.2661i 0.137912 1.92826i
\(528\) 0.771159 0.771159i 0.0335604 0.0335604i
\(529\) −17.5839 14.8259i −0.764517 0.644603i
\(530\) −8.80577 19.9534i −0.382498 0.866719i
\(531\) −5.42500 6.26078i −0.235425 0.271695i
\(532\) −11.3591 + 2.47101i −0.492477 + 0.107132i
\(533\) −13.3690 + 10.0079i −0.579076 + 0.433491i
\(534\) −0.775011 + 1.69704i −0.0335380 + 0.0734380i
\(535\) 0.302431 1.30940i 0.0130752 0.0566105i
\(536\) −0.0354809 + 0.120837i −0.00153254 + 0.00521936i
\(537\) −4.89983 + 22.5241i −0.211443 + 0.971988i
\(538\) −6.24731 + 16.7497i −0.269341 + 0.722130i
\(539\) 7.74933 2.27541i 0.333787 0.0980088i
\(540\) −1.97609 + 1.04645i −0.0850375 + 0.0450320i
\(541\) −3.13026 + 3.61251i −0.134580 + 0.155314i −0.819039 0.573737i \(-0.805493\pi\)
0.684459 + 0.729051i \(0.260039\pi\)
\(542\) −14.0307 + 25.6954i −0.602672 + 1.10371i
\(543\) −2.28333 0.851638i −0.0979870 0.0365473i
\(544\) 6.70040 4.30609i 0.287277 0.184622i
\(545\) 18.4771 2.41585i 0.791472 0.103484i
\(546\) 7.93564 1.14097i 0.339614 0.0488291i
\(547\) 0.461173 + 1.23645i 0.0197183 + 0.0528668i 0.946436 0.322892i \(-0.104655\pi\)
−0.926718 + 0.375759i \(0.877382\pi\)
\(548\) 5.88135 + 7.85656i 0.251239 + 0.335616i
\(549\) −4.51123 2.89919i −0.192535 0.123735i
\(550\) 3.75593 + 3.95314i 0.160153 + 0.168563i
\(551\) 9.39819i 0.400376i
\(552\) −4.50466 1.64562i −0.191731 0.0700420i
\(553\) 39.7212 + 39.7212i 1.68912 + 1.68912i
\(554\) −1.15841 + 1.00376i −0.0492160 + 0.0426459i
\(555\) −1.44715 + 9.22596i −0.0614280 + 0.391620i
\(556\) −0.894419 + 6.22082i −0.0379318 + 0.263822i
\(557\) −38.1643 + 14.2345i −1.61707 + 0.603137i −0.985120 0.171869i \(-0.945019\pi\)
−0.631954 + 0.775006i \(0.717747\pi\)
\(558\) −3.33913 + 4.46056i −0.141357 + 0.188830i
\(559\) −14.8583 4.36278i −0.628438 0.184526i
\(560\) −8.31539 + 1.69783i −0.351389 + 0.0717464i
\(561\) −3.60840 7.90130i −0.152347 0.333593i
\(562\) 1.93591 + 1.05709i 0.0816613 + 0.0445905i
\(563\) −3.24999 45.4407i −0.136971 1.91510i −0.347787 0.937574i \(-0.613067\pi\)
0.210816 0.977526i \(-0.432388\pi\)
\(564\) 2.78891 + 2.41661i 0.117434 + 0.101758i
\(565\) 3.39358 40.2141i 0.142769 1.69182i
\(566\) 1.79278 0.818735i 0.0753562 0.0344140i
\(567\) −3.70874 0.806787i −0.155752 0.0338819i
\(568\) 2.96282 + 5.42601i 0.124317 + 0.227670i
\(569\) −2.37460 16.5157i −0.0995483 0.692374i −0.977083 0.212860i \(-0.931722\pi\)
0.877534 0.479514i \(-0.159187\pi\)
\(570\) 0.0875812 6.84802i 0.00366837 0.286832i
\(571\) 46.9340 + 6.74809i 1.96413 + 0.282399i 0.999847 + 0.0175182i \(0.00557651\pi\)
0.964281 + 0.264881i \(0.0853326\pi\)
\(572\) −0.489677 2.25101i −0.0204744 0.0941194i
\(573\) 6.20611 + 0.443870i 0.259264 + 0.0185429i
\(574\) 30.0071 1.25247
\(575\) 8.80141 22.3055i 0.367044 0.930204i
\(576\) −1.00000 −0.0416667
\(577\) −45.0321 3.22076i −1.87471 0.134082i −0.912966 0.408035i \(-0.866214\pi\)
−0.961743 + 0.273953i \(0.911669\pi\)
\(578\) −9.87105 45.3765i −0.410581 1.88741i
\(579\) 11.7716 + 1.69250i 0.489212 + 0.0703380i
\(580\) 0.0877452 6.86085i 0.00364342 0.284881i
\(581\) 0.635533 + 4.42023i 0.0263664 + 0.183382i
\(582\) −3.54801 6.49770i −0.147070 0.269338i
\(583\) −10.3942 2.26112i −0.430483 0.0936459i
\(584\) 3.76322 1.71860i 0.155723 0.0711164i
\(585\) −0.397176 + 4.70655i −0.0164212 + 0.194592i
\(586\) −3.22592 2.79528i −0.133262 0.115472i
\(587\) −1.67825 23.4650i −0.0692689 0.968505i −0.906649 0.421885i \(-0.861369\pi\)
0.837380 0.546620i \(-0.184086\pi\)
\(588\) −6.49979 3.54915i −0.268047 0.146365i
\(589\) −7.08930 15.5234i −0.292110 0.639631i
\(590\) 18.1496 3.70577i 0.747206 0.152564i
\(591\) 10.1514 + 2.98073i 0.417574 + 0.122611i
\(592\) −2.50284 + 3.34340i −0.102866 + 0.137413i
\(593\) 5.41564 2.01993i 0.222394 0.0829486i −0.235797 0.971802i \(-0.575770\pi\)
0.458191 + 0.888854i \(0.348497\pi\)
\(594\) −0.155206 + 1.07948i −0.00636819 + 0.0442917i
\(595\) −10.4749 + 66.7801i −0.429428 + 2.73772i
\(596\) −12.1096 + 10.4930i −0.496029 + 0.429811i
\(597\) −15.0057 15.0057i −0.614141 0.614141i
\(598\) −8.06858 + 6.12544i −0.329949 + 0.250488i
\(599\) 4.93153i 0.201497i −0.994912 0.100748i \(-0.967876\pi\)
0.994912 0.100748i \(-0.0321237\pi\)
\(600\) 0.127872 4.99836i 0.00522034 0.204057i
\(601\) −26.3091 16.9078i −1.07317 0.689685i −0.120200 0.992750i \(-0.538354\pi\)
−0.952970 + 0.303065i \(0.901990\pi\)
\(602\) 16.6749 + 22.2750i 0.679617 + 0.907862i
\(603\) −0.0440109 0.117998i −0.00179226 0.00480524i
\(604\) −12.3823 + 1.78030i −0.503828 + 0.0724395i
\(605\) −21.7521 + 2.84406i −0.884348 + 0.115627i
\(606\) −8.08792 + 5.19779i −0.328549 + 0.211146i
\(607\) −35.4558 13.2243i −1.43910 0.536758i −0.495727 0.868479i \(-0.665098\pi\)
−0.943378 + 0.331720i \(0.892371\pi\)
\(608\) 1.46783 2.68814i 0.0595285 0.109018i
\(609\) 7.62682 8.80182i 0.309055 0.356668i
\(610\) 10.5968 5.61159i 0.429053 0.227207i
\(611\) 7.47924 2.19610i 0.302578 0.0888448i
\(612\) −2.78341 + 7.46260i −0.112512 + 0.301658i
\(613\) −7.23397 + 33.2540i −0.292177 + 1.34312i 0.563718 + 0.825967i \(0.309370\pi\)
−0.855895 + 0.517149i \(0.826993\pi\)
\(614\) 5.89660 20.0820i 0.237967 0.810442i
\(615\) −3.97841 + 17.2249i −0.160425 + 0.694575i
\(616\) −1.71952 + 3.76523i −0.0692815 + 0.151705i
\(617\) −26.4408 + 19.7933i −1.06447 + 0.796849i −0.979884 0.199568i \(-0.936046\pi\)
−0.0845811 + 0.996417i \(0.526955\pi\)
\(618\) 15.8406 3.44591i 0.637202 0.138615i
\(619\) −9.56034 11.0332i −0.384262 0.443462i 0.530359 0.847773i \(-0.322057\pi\)
−0.914622 + 0.404310i \(0.867512\pi\)
\(620\) −5.03039 11.3986i −0.202025 0.457777i
\(621\) 4.59235 1.38216i 0.184284 0.0554641i
\(622\) 4.42412 4.42412i 0.177391 0.177391i
\(623\) 0.505150 7.06292i 0.0202384 0.282970i
\(624\) −1.14200 + 1.77699i −0.0457167 + 0.0711366i
\(625\) 24.9673 + 1.27830i 0.998692 + 0.0511320i
\(626\) −24.4690 11.1746i −0.977979 0.446628i
\(627\) −2.67398 2.00172i −0.106789 0.0799409i
\(628\) 6.23066 3.40220i 0.248630 0.135762i
\(629\) 17.9840 + 27.9837i 0.717070 + 1.11578i
\(630\) 5.63934 6.34241i 0.224677 0.252688i
\(631\) −2.78203 9.47471i −0.110751 0.377182i 0.885401 0.464828i \(-0.153884\pi\)
−0.996152 + 0.0876457i \(0.972066\pi\)
\(632\) −14.7626 + 1.05584i −0.587224 + 0.0419991i
\(633\) 2.19273 0.156827i 0.0871533 0.00623332i
\(634\) 0.705193 + 2.40167i 0.0280068 + 0.0953824i
\(635\) 14.3161 0.840050i 0.568119 0.0333364i
\(636\) 5.27328 + 8.20538i 0.209099 + 0.325364i
\(637\) −13.7296 + 7.49692i −0.543986 + 0.297039i
\(638\) −2.67899 2.00547i −0.106062 0.0793972i
\(639\) −5.62355 2.56819i −0.222464 0.101596i
\(640\) 1.09664 1.94869i 0.0433486 0.0770285i
\(641\) −9.98047 + 15.5299i −0.394205 + 0.613395i −0.980457 0.196734i \(-0.936967\pi\)
0.586252 + 0.810129i \(0.300603\pi\)
\(642\) −0.0428748 + 0.599468i −0.00169213 + 0.0236591i
\(643\) −19.2620 + 19.2620i −0.759621 + 0.759621i −0.976253 0.216632i \(-0.930493\pi\)
0.216632 + 0.976253i \(0.430493\pi\)
\(644\) 18.2021 0.122813i 0.717262 0.00483952i
\(645\) −14.9973 + 6.61856i −0.590517 + 0.260606i
\(646\) −15.9749 18.4360i −0.628525 0.725356i
\(647\) −33.0727 + 7.19453i −1.30022 + 0.282846i −0.808805 0.588077i \(-0.799885\pi\)
−0.491419 + 0.870923i \(0.663522\pi\)
\(648\) 0.800541 0.599278i 0.0314482 0.0235419i
\(649\) 3.75311 8.21817i 0.147323 0.322592i
\(650\) −8.73602 5.93537i −0.342655 0.232805i
\(651\) 5.95812 20.2915i 0.233517 0.795286i
\(652\) 3.58007 16.4573i 0.140206 0.644518i
\(653\) −15.3873 + 41.2548i −0.602150 + 1.61443i 0.174616 + 0.984637i \(0.444131\pi\)
−0.776766 + 0.629789i \(0.783141\pi\)
\(654\) −7.99597 + 2.34783i −0.312667 + 0.0918074i
\(655\) −13.1268 + 42.6789i −0.512906 + 1.66760i
\(656\) −5.17733 + 5.97496i −0.202141 + 0.233283i
\(657\) −1.98269 + 3.63103i −0.0773521 + 0.141660i
\(658\) −13.1232 4.89470i −0.511596 0.190815i
\(659\) −16.8484 + 10.8278i −0.656320 + 0.421791i −0.825971 0.563713i \(-0.809372\pi\)
0.169651 + 0.985504i \(0.445736\pi\)
\(660\) −1.93337 1.48626i −0.0752562 0.0578524i
\(661\) 27.0339 3.88689i 1.05150 0.151183i 0.405169 0.914242i \(-0.367213\pi\)
0.646328 + 0.763059i \(0.276304\pi\)
\(662\) 7.94936 + 21.3131i 0.308961 + 0.828355i
\(663\) 10.0823 + 13.4684i 0.391565 + 0.523069i
\(664\) −0.989802 0.636107i −0.0384118 0.0246858i
\(665\) 8.77165 + 24.4689i 0.340150 + 0.948864i
\(666\) 4.17642i 0.161833i
\(667\) −3.03104 + 14.4006i −0.117362 + 0.557592i
\(668\) 17.6919 + 17.6919i 0.684521 + 0.684521i
\(669\) −6.33254 + 5.48718i −0.244830 + 0.212147i
\(670\) 0.278205 + 0.0436381i 0.0107480 + 0.00168589i
\(671\) 0.832296 5.78875i 0.0321304 0.223472i
\(672\) 3.55617 1.32638i 0.137182 0.0511664i
\(673\) −17.8557 + 23.8524i −0.688285 + 0.919441i −0.999523 0.0308910i \(-0.990166\pi\)
0.311238 + 0.950332i \(0.399256\pi\)
\(674\) 22.8766 + 6.71716i 0.881172 + 0.258735i
\(675\) 2.89304 + 4.07803i 0.111353 + 0.156963i
\(676\) −3.54687 7.76656i −0.136418 0.298714i
\(677\) −10.8817 5.94184i −0.418217 0.228363i 0.256340 0.966587i \(-0.417483\pi\)
−0.674557 + 0.738223i \(0.735665\pi\)
\(678\) 1.28754 + 18.0022i 0.0494478 + 0.691371i
\(679\) 21.2358 + 18.4009i 0.814954 + 0.706162i
\(680\) −11.4899 13.6078i −0.440616 0.521835i
\(681\) −7.17602 + 3.27718i −0.274986 + 0.125582i
\(682\) −5.93778 1.29169i −0.227369 0.0494612i
\(683\) −13.4641 24.6577i −0.515191 0.943502i −0.997711 0.0676172i \(-0.978460\pi\)
0.482520 0.875885i \(-0.339721\pi\)
\(684\) 0.435879 + 3.03161i 0.0166663 + 0.115916i
\(685\) 15.7146 15.3177i 0.600423 0.585259i
\(686\) 1.52398 + 0.219115i 0.0581859 + 0.00836586i
\(687\) 0.908056 + 4.17427i 0.0346445 + 0.159258i
\(688\) −7.31240 0.522993i −0.278783 0.0199389i
\(689\) 20.6030 0.784911
\(690\) −2.34277 + 10.4648i −0.0891879 + 0.398387i
\(691\) −21.1019 −0.802754 −0.401377 0.915913i \(-0.631468\pi\)
−0.401377 + 0.915913i \(0.631468\pi\)
\(692\) 14.8690 + 1.06345i 0.565234 + 0.0404263i
\(693\) −0.879869 4.04469i −0.0334234 0.153645i
\(694\) −10.7661 1.54794i −0.408677 0.0587588i
\(695\) 14.0521 + 0.179716i 0.533026 + 0.00681701i
\(696\) 0.436695 + 3.03728i 0.0165529 + 0.115128i
\(697\) 30.1781 + 55.2671i 1.14308 + 2.09339i
\(698\) 6.71951 + 1.46174i 0.254337 + 0.0553277i
\(699\) 25.2052 11.5108i 0.953347 0.435379i
\(700\) 6.17502 + 17.9447i 0.233394 + 0.678244i
\(701\) 15.2422 + 13.2075i 0.575691 + 0.498839i 0.893347 0.449367i \(-0.148350\pi\)
−0.317656 + 0.948206i \(0.602896\pi\)
\(702\) −0.150691 2.10693i −0.00568745 0.0795210i
\(703\) 11.2268 + 6.13030i 0.423427 + 0.231208i
\(704\) −0.453045 0.992030i −0.0170748 0.0373885i
\(705\) 4.54960 6.88413i 0.171348 0.259271i
\(706\) −9.25070 2.71625i −0.348155 0.102227i
\(707\) 21.8678 29.2119i 0.822423 1.09863i
\(708\) −7.76188 + 2.89503i −0.291709 + 0.108802i
\(709\) −1.20391 + 8.37338i −0.0452138 + 0.314469i 0.954646 + 0.297742i \(0.0962336\pi\)
−0.999860 + 0.0167267i \(0.994675\pi\)
\(710\) 11.1716 8.14214i 0.419263 0.305569i
\(711\) 11.1853 9.69214i 0.419482 0.363483i
\(712\) 1.31920 + 1.31920i 0.0494391 + 0.0494391i
\(713\) 5.85622 + 26.0724i 0.219317 + 0.976420i
\(714\) 30.2301i 1.13133i
\(715\) −4.84897 + 1.73827i −0.181341 + 0.0650075i
\(716\) 19.3917 + 12.4623i 0.724701 + 0.465737i
\(717\) 10.3839 + 13.8713i 0.387794 + 0.518032i
\(718\) 5.37551 + 14.4123i 0.200612 + 0.537862i
\(719\) −10.9257 + 1.57088i −0.407461 + 0.0585840i −0.342998 0.939336i \(-0.611442\pi\)
−0.0644627 + 0.997920i \(0.520533\pi\)
\(720\) 0.289895 + 2.21720i 0.0108038 + 0.0826300i
\(721\) −51.7613 + 33.2649i −1.92769 + 1.23885i
\(722\) 9.01288 + 3.36163i 0.335425 + 0.125107i
\(723\) −9.39305 + 17.2021i −0.349331 + 0.639753i
\(724\) −1.59588 + 1.84175i −0.0593105 + 0.0684480i
\(725\) −15.2373 + 1.79438i −0.565899 + 0.0666416i
\(726\) 9.41323 2.76397i 0.349358 0.102581i
\(727\) −2.13903 + 5.73497i −0.0793324 + 0.212698i −0.970561 0.240857i \(-0.922572\pi\)
0.891228 + 0.453555i \(0.149844\pi\)
\(728\) 1.70419 7.83402i 0.0631614 0.290348i
\(729\) −0.281733 + 0.959493i −0.0104345 + 0.0355368i
\(730\) −4.90142 7.84558i −0.181410 0.290378i
\(731\) −24.2563 + 53.1138i −0.897150 + 1.96448i
\(732\) −4.29291 + 3.21364i −0.158671 + 0.118779i
\(733\) −10.2800 + 2.23627i −0.379699 + 0.0825985i −0.398364 0.917227i \(-0.630422\pi\)
0.0186651 + 0.999826i \(0.494058\pi\)
\(734\) −9.05529 10.4504i −0.334237 0.385730i
\(735\) −5.98491 + 15.4402i −0.220757 + 0.569520i
\(736\) −3.11608 + 3.64555i −0.114860 + 0.134377i
\(737\) 0.0971185 0.0971185i 0.00357741 0.00357741i
\(738\) 0.564008 7.88586i 0.0207614 0.290283i
\(739\) 20.1826 31.4048i 0.742431 1.15524i −0.240389 0.970677i \(-0.577275\pi\)
0.982820 0.184568i \(-0.0590886\pi\)
\(740\) 8.13853 + 4.58005i 0.299178 + 0.168366i
\(741\) 5.88491 + 2.68755i 0.216188 + 0.0987296i
\(742\) −29.6362 22.1853i −1.08798 0.814450i
\(743\) −28.3267 + 15.4676i −1.03921 + 0.567449i −0.905841 0.423618i \(-0.860760\pi\)
−0.133365 + 0.991067i \(0.542578\pi\)
\(744\) 3.01241 + 4.68740i 0.110440 + 0.171849i
\(745\) 26.7756 + 23.8075i 0.980983 + 0.872239i
\(746\) −1.78886 6.09228i −0.0654947 0.223054i
\(747\) 1.17358 0.0839363i 0.0429391 0.00307107i
\(748\) −8.66413 + 0.619671i −0.316792 + 0.0226574i
\(749\) −0.642655 2.18868i −0.0234821 0.0799727i
\(750\) −11.1194 + 1.16549i −0.406024 + 0.0425575i
\(751\) −9.24313 14.3826i −0.337287 0.524828i 0.630635 0.776079i \(-0.282794\pi\)
−0.967922 + 0.251251i \(0.919158\pi\)
\(752\) 3.23887 1.76855i 0.118109 0.0644925i
\(753\) 1.66489 + 1.24632i 0.0606721 + 0.0454185i
\(754\) 5.89593 + 2.69258i 0.214717 + 0.0980580i
\(755\) 7.53684 + 26.9378i 0.274294 + 0.980368i
\(756\) −2.05199 + 3.19296i −0.0746302 + 0.116127i
\(757\) 2.32344 32.4860i 0.0844470 1.18072i −0.761757 0.647863i \(-0.775663\pi\)
0.846204 0.532860i \(-0.178883\pi\)
\(758\) −1.46793 + 1.46793i −0.0533177 + 0.0533177i
\(759\) 3.45168 + 3.92956i 0.125288 + 0.142634i
\(760\) −6.38565 2.47520i −0.231632 0.0897849i
\(761\) −14.0132 16.1721i −0.507980 0.586240i 0.442600 0.896719i \(-0.354056\pi\)
−0.950580 + 0.310479i \(0.899511\pi\)
\(762\) −6.26682 + 1.36326i −0.227023 + 0.0493858i
\(763\) 25.3209 18.9550i 0.916679 0.686217i
\(764\) 2.58470 5.65970i 0.0935111 0.204761i
\(765\) 17.3529 + 4.00798i 0.627397 + 0.144909i
\(766\) 0.248221 0.845362i 0.00896858 0.0305442i
\(767\) −3.71964 + 17.0989i −0.134309 + 0.617406i
\(768\) −0.349464 + 0.936950i −0.0126102 + 0.0338093i
\(769\) −28.6559 + 8.41413i −1.03336 + 0.303421i −0.754075 0.656788i \(-0.771915\pi\)
−0.279282 + 0.960209i \(0.590097\pi\)
\(770\) 8.84673 + 2.72100i 0.318814 + 0.0980579i
\(771\) 5.11200 5.89956i 0.184104 0.212468i
\(772\) 5.69955 10.4379i 0.205131 0.375670i
\(773\) 46.6602 + 17.4034i 1.67825 +