Properties

Label 138.2.e.b.49.1
Level $138$
Weight $2$
Character 138.49
Analytic conductor $1.102$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.e (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 49.1
Root \(0.142315 + 0.989821i\) of defining polynomial
Character \(\chi\) \(=\) 138.49
Dual form 138.2.e.b.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.698939 - 0.806618i) q^{5} +(0.959493 + 0.281733i) q^{6} +(3.72270 - 2.39243i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.698939 - 0.806618i) q^{5} +(0.959493 + 0.281733i) q^{6} +(3.72270 - 2.39243i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(-0.897877 - 0.577031i) q^{10} +(0.234769 - 1.63285i) q^{11} +(0.142315 - 0.989821i) q^{12} +(4.60260 + 2.95791i) q^{13} +(-2.89788 - 3.34433i) q^{14} +(0.443376 + 0.970858i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-3.76709 - 1.10612i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-6.33409 + 1.85986i) q^{19} +(-0.443376 + 0.970858i) q^{20} +(0.629769 + 4.38014i) q^{21} -1.64964 q^{22} +(-4.78492 + 0.323343i) q^{23} -1.00000 q^{24} +(0.549456 + 3.82155i) q^{25} +(2.27279 - 4.97671i) q^{26} +(0.959493 - 0.281733i) q^{27} +(-2.89788 + 3.34433i) q^{28} +(6.14024 + 1.80294i) q^{29} +(0.897877 - 0.577031i) q^{30} +(-1.25244 - 2.74246i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(1.38777 + 0.891865i) q^{33} +(-0.558746 + 3.88617i) q^{34} +(0.672158 - 4.67496i) q^{35} +(0.841254 + 0.540641i) q^{36} +(1.44774 + 1.67078i) q^{37} +(2.74236 + 6.00493i) q^{38} +(-4.60260 + 2.95791i) q^{39} +(1.02408 + 0.300696i) q^{40} +(-2.67954 + 3.09235i) q^{41} +(4.24593 - 1.24672i) q^{42} +(-1.21021 + 2.64998i) q^{43} +(0.234769 + 1.63285i) q^{44} -1.06731 q^{45} +(1.00102 + 4.69020i) q^{46} -9.62306 q^{47} +(0.142315 + 0.989821i) q^{48} +(5.22685 - 11.4452i) q^{49} +(3.70446 - 1.08773i) q^{50} +(2.57107 - 2.96717i) q^{51} +(-5.24950 - 1.54139i) q^{52} +(-1.87633 + 1.20584i) q^{53} +(-0.415415 - 0.909632i) q^{54} +(-1.15300 - 1.33063i) q^{55} +(3.72270 + 2.39243i) q^{56} +(0.939490 - 6.53430i) q^{57} +(0.910738 - 6.33432i) q^{58} +(8.20397 + 5.27237i) q^{59} +(-0.698939 - 0.806618i) q^{60} +(-0.647821 - 1.41853i) q^{61} +(-2.53631 + 1.62999i) q^{62} +(-4.24593 - 1.24672i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(5.60284 - 1.64514i) q^{65} +(0.685287 - 1.50057i) q^{66} +(-1.71423 - 11.9227i) q^{67} +3.92613 q^{68} +(1.69360 - 4.48684i) q^{69} -4.72304 q^{70} +(0.749168 + 5.21058i) q^{71} +(0.415415 - 0.909632i) q^{72} +(-6.89449 + 2.02441i) q^{73} +(1.44774 - 1.67078i) q^{74} +(-3.70446 - 1.08773i) q^{75} +(5.55353 - 3.56904i) q^{76} +(-3.03252 - 6.64029i) q^{77} +(3.58282 + 4.13480i) q^{78} +(2.26617 + 1.45638i) q^{79} +(0.151894 - 1.05645i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(3.44222 + 2.21218i) q^{82} +(-3.62690 - 4.18567i) q^{83} +(-1.83829 - 4.02529i) q^{84} +(-3.52518 + 2.26550i) q^{85} +(2.79524 + 0.820757i) q^{86} +(-4.19075 + 4.83639i) q^{87} +(1.58282 - 0.464758i) q^{88} +(4.70504 - 10.3026i) q^{89} +(0.151894 + 1.05645i) q^{90} +24.2107 q^{91} +(4.50000 - 1.65831i) q^{92} +3.01491 q^{93} +(1.36950 + 9.52511i) q^{94} +(-2.92694 + 6.40911i) q^{95} +(0.959493 - 0.281733i) q^{96} +(-7.84485 + 9.05344i) q^{97} +(-12.0726 - 3.54482i) q^{98} +(-1.38777 + 0.891865i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9} + 9 q^{10} + 11 q^{11} + q^{12} + 13 q^{13} - 11 q^{14} + 13 q^{15} - q^{16} - 24 q^{17} - q^{18} - 14 q^{19} - 13 q^{20} + 11 q^{21} + 22 q^{22} - 10 q^{23} - 10 q^{24} - 43 q^{25} - 9 q^{26} + q^{27} - 11 q^{28} + 13 q^{29} - 9 q^{30} + 8 q^{31} - q^{32} + 22 q^{33} + 9 q^{34} - q^{36} - 13 q^{37} - 3 q^{38} - 13 q^{39} + 9 q^{40} - 10 q^{41} - 8 q^{43} + 11 q^{44} - 2 q^{45} + q^{46} - 8 q^{47} + q^{48} + 29 q^{49} + 23 q^{50} - 9 q^{51} + 2 q^{52} - 35 q^{53} + q^{54} - 11 q^{55} + 3 q^{57} + 13 q^{58} + 37 q^{59} + 2 q^{60} - 2 q^{61} + 8 q^{62} - q^{64} + 37 q^{65} + 14 q^{67} - 2 q^{68} - q^{69} - 22 q^{70} + 44 q^{71} - q^{72} - 49 q^{73} - 13 q^{74} - 23 q^{75} + 8 q^{76} + 44 q^{77} + 20 q^{78} - 8 q^{79} - 2 q^{80} - q^{81} + 12 q^{82} - 17 q^{83} - 11 q^{84} - 37 q^{85} + 14 q^{86} - 2 q^{87} + 59 q^{89} - 2 q^{90} + 66 q^{91} + 45 q^{92} + 36 q^{93} - 19 q^{94} - 28 q^{95} + q^{96} - 21 q^{97} - 26 q^{98} - 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.415415 + 0.909632i −0.239840 + 0.525176i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 0.698939 0.806618i 0.312575 0.360731i −0.577624 0.816303i \(-0.696020\pi\)
0.890199 + 0.455572i \(0.150565\pi\)
\(6\) 0.959493 + 0.281733i 0.391711 + 0.115017i
\(7\) 3.72270 2.39243i 1.40705 0.904255i 0.407090 0.913388i \(-0.366544\pi\)
0.999958 + 0.00913325i \(0.00290725\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −0.654861 0.755750i −0.218287 0.251917i
\(10\) −0.897877 0.577031i −0.283934 0.182473i
\(11\) 0.234769 1.63285i 0.0707855 0.492324i −0.923331 0.384005i \(-0.874544\pi\)
0.994116 0.108318i \(-0.0345465\pi\)
\(12\) 0.142315 0.989821i 0.0410828 0.285737i
\(13\) 4.60260 + 2.95791i 1.27653 + 0.820377i 0.990456 0.137830i \(-0.0440128\pi\)
0.286075 + 0.958207i \(0.407649\pi\)
\(14\) −2.89788 3.34433i −0.774490 0.893809i
\(15\) 0.443376 + 0.970858i 0.114479 + 0.250675i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −3.76709 1.10612i −0.913654 0.268273i −0.209076 0.977899i \(-0.567046\pi\)
−0.704578 + 0.709626i \(0.748864\pi\)
\(18\) −0.654861 + 0.755750i −0.154352 + 0.178132i
\(19\) −6.33409 + 1.85986i −1.45314 + 0.426680i −0.910578 0.413337i \(-0.864363\pi\)
−0.542561 + 0.840017i \(0.682545\pi\)
\(20\) −0.443376 + 0.970858i −0.0991419 + 0.217091i
\(21\) 0.629769 + 4.38014i 0.137427 + 0.955825i
\(22\) −1.64964 −0.351705
\(23\) −4.78492 + 0.323343i −0.997725 + 0.0674216i
\(24\) −1.00000 −0.204124
\(25\) 0.549456 + 3.82155i 0.109891 + 0.764311i
\(26\) 2.27279 4.97671i 0.445730 0.976012i
\(27\) 0.959493 0.281733i 0.184655 0.0542195i
\(28\) −2.89788 + 3.34433i −0.547647 + 0.632019i
\(29\) 6.14024 + 1.80294i 1.14021 + 0.334797i 0.796714 0.604356i \(-0.206570\pi\)
0.343499 + 0.939153i \(0.388388\pi\)
\(30\) 0.897877 0.577031i 0.163929 0.105351i
\(31\) −1.25244 2.74246i −0.224945 0.492561i 0.763185 0.646180i \(-0.223634\pi\)
−0.988130 + 0.153619i \(0.950907\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 1.38777 + 0.891865i 0.241580 + 0.155254i
\(34\) −0.558746 + 3.88617i −0.0958242 + 0.666472i
\(35\) 0.672158 4.67496i 0.113615 0.790213i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) 1.44774 + 1.67078i 0.238007 + 0.274674i 0.862169 0.506620i \(-0.169105\pi\)
−0.624163 + 0.781294i \(0.714560\pi\)
\(38\) 2.74236 + 6.00493i 0.444869 + 0.974128i
\(39\) −4.60260 + 2.95791i −0.737006 + 0.473645i
\(40\) 1.02408 + 0.300696i 0.161921 + 0.0475442i
\(41\) −2.67954 + 3.09235i −0.418474 + 0.482945i −0.925371 0.379062i \(-0.876247\pi\)
0.506898 + 0.862006i \(0.330792\pi\)
\(42\) 4.24593 1.24672i 0.655161 0.192373i
\(43\) −1.21021 + 2.64998i −0.184555 + 0.404119i −0.979183 0.202977i \(-0.934938\pi\)
0.794629 + 0.607096i \(0.207666\pi\)
\(44\) 0.234769 + 1.63285i 0.0353927 + 0.246162i
\(45\) −1.06731 −0.159105
\(46\) 1.00102 + 4.69020i 0.147592 + 0.691532i
\(47\) −9.62306 −1.40367 −0.701834 0.712341i \(-0.747635\pi\)
−0.701834 + 0.712341i \(0.747635\pi\)
\(48\) 0.142315 + 0.989821i 0.0205414 + 0.142868i
\(49\) 5.22685 11.4452i 0.746692 1.63503i
\(50\) 3.70446 1.08773i 0.523890 0.153828i
\(51\) 2.57107 2.96717i 0.360021 0.415487i
\(52\) −5.24950 1.54139i −0.727975 0.213753i
\(53\) −1.87633 + 1.20584i −0.257734 + 0.165635i −0.663127 0.748507i \(-0.730771\pi\)
0.405393 + 0.914142i \(0.367135\pi\)
\(54\) −0.415415 0.909632i −0.0565308 0.123785i
\(55\) −1.15300 1.33063i −0.155470 0.179422i
\(56\) 3.72270 + 2.39243i 0.497467 + 0.319702i
\(57\) 0.939490 6.53430i 0.124439 0.865489i
\(58\) 0.910738 6.33432i 0.119586 0.831737i
\(59\) 8.20397 + 5.27237i 1.06807 + 0.686405i 0.951771 0.306810i \(-0.0992616\pi\)
0.116296 + 0.993215i \(0.462898\pi\)
\(60\) −0.698939 0.806618i −0.0902326 0.104134i
\(61\) −0.647821 1.41853i −0.0829450 0.181624i 0.863615 0.504152i \(-0.168195\pi\)
−0.946560 + 0.322528i \(0.895468\pi\)
\(62\) −2.53631 + 1.62999i −0.322111 + 0.207008i
\(63\) −4.24593 1.24672i −0.534937 0.157072i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 5.60284 1.64514i 0.694947 0.204055i
\(66\) 0.685287 1.50057i 0.0843530 0.184707i
\(67\) −1.71423 11.9227i −0.209426 1.45659i −0.775036 0.631917i \(-0.782268\pi\)
0.565610 0.824673i \(-0.308641\pi\)
\(68\) 3.92613 0.476113
\(69\) 1.69360 4.48684i 0.203886 0.540152i
\(70\) −4.72304 −0.564511
\(71\) 0.749168 + 5.21058i 0.0889098 + 0.618382i 0.984746 + 0.173997i \(0.0556684\pi\)
−0.895836 + 0.444384i \(0.853423\pi\)
\(72\) 0.415415 0.909632i 0.0489571 0.107201i
\(73\) −6.89449 + 2.02441i −0.806939 + 0.236939i −0.659083 0.752070i \(-0.729055\pi\)
−0.147856 + 0.989009i \(0.547237\pi\)
\(74\) 1.44774 1.67078i 0.168296 0.194224i
\(75\) −3.70446 1.08773i −0.427754 0.125600i
\(76\) 5.55353 3.56904i 0.637034 0.409397i
\(77\) −3.03252 6.64029i −0.345588 0.756731i
\(78\) 3.58282 + 4.13480i 0.405675 + 0.468174i
\(79\) 2.26617 + 1.45638i 0.254964 + 0.163856i 0.661879 0.749610i \(-0.269759\pi\)
−0.406915 + 0.913466i \(0.633395\pi\)
\(80\) 0.151894 1.05645i 0.0169823 0.118114i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 3.44222 + 2.21218i 0.380129 + 0.244294i
\(83\) −3.62690 4.18567i −0.398104 0.459436i 0.520939 0.853594i \(-0.325582\pi\)
−0.919043 + 0.394157i \(0.871036\pi\)
\(84\) −1.83829 4.02529i −0.200574 0.439195i
\(85\) −3.52518 + 2.26550i −0.382360 + 0.245728i
\(86\) 2.79524 + 0.820757i 0.301419 + 0.0885045i
\(87\) −4.19075 + 4.83639i −0.449296 + 0.518515i
\(88\) 1.58282 0.464758i 0.168729 0.0495434i
\(89\) 4.70504 10.3026i 0.498733 1.09207i −0.478146 0.878280i \(-0.658691\pi\)
0.976879 0.213792i \(-0.0685816\pi\)
\(90\) 0.151894 + 1.05645i 0.0160110 + 0.111359i
\(91\) 24.2107 2.53797
\(92\) 4.50000 1.65831i 0.469157 0.172891i
\(93\) 3.01491 0.312632
\(94\) 1.36950 + 9.52511i 0.141254 + 0.982440i
\(95\) −2.92694 + 6.40911i −0.300298 + 0.657561i
\(96\) 0.959493 0.281733i 0.0979278 0.0287542i
\(97\) −7.84485 + 9.05344i −0.796524 + 0.919238i −0.998185 0.0602176i \(-0.980821\pi\)
0.201661 + 0.979455i \(0.435366\pi\)
\(98\) −12.0726 3.54482i −1.21951 0.358081i
\(99\) −1.38777 + 0.891865i −0.139476 + 0.0896358i
\(100\) −1.60386 3.51195i −0.160386 0.351195i
\(101\) 12.0894 + 13.9519i 1.20294 + 1.38826i 0.900365 + 0.435135i \(0.143299\pi\)
0.302570 + 0.953127i \(0.402155\pi\)
\(102\) −3.30287 2.12262i −0.327033 0.210171i
\(103\) 1.62633 11.3114i 0.160247 1.11455i −0.737919 0.674889i \(-0.764191\pi\)
0.898166 0.439656i \(-0.144900\pi\)
\(104\) −0.778622 + 5.41543i −0.0763501 + 0.531027i
\(105\) 3.97327 + 2.55347i 0.387751 + 0.249193i
\(106\) 1.46060 + 1.68562i 0.141866 + 0.163722i
\(107\) 6.17478 + 13.5209i 0.596938 + 1.30711i 0.931157 + 0.364618i \(0.118800\pi\)
−0.334219 + 0.942495i \(0.608472\pi\)
\(108\) −0.841254 + 0.540641i −0.0809497 + 0.0520232i
\(109\) −11.7854 3.46052i −1.12884 0.331458i −0.336589 0.941652i \(-0.609273\pi\)
−0.792252 + 0.610194i \(0.791092\pi\)
\(110\) −1.15300 + 1.33063i −0.109934 + 0.126871i
\(111\) −2.12121 + 0.622842i −0.201336 + 0.0591176i
\(112\) 1.83829 4.02529i 0.173702 0.380354i
\(113\) 0.429025 + 2.98393i 0.0403593 + 0.280705i 1.00000 0.000524443i \(-0.000166935\pi\)
−0.959641 + 0.281229i \(0.909258\pi\)
\(114\) −6.60149 −0.618286
\(115\) −3.08355 + 4.08560i −0.287543 + 0.380984i
\(116\) −6.39946 −0.594175
\(117\) −0.778622 5.41543i −0.0719836 0.500657i
\(118\) 4.05116 8.87081i 0.372940 0.816624i
\(119\) −16.6701 + 4.89477i −1.52814 + 0.448703i
\(120\) −0.698939 + 0.806618i −0.0638041 + 0.0736338i
\(121\) 7.94333 + 2.33237i 0.722121 + 0.212034i
\(122\) −1.31190 + 0.843105i −0.118774 + 0.0763311i
\(123\) −1.69978 3.72201i −0.153264 0.335602i
\(124\) 1.97435 + 2.27852i 0.177302 + 0.204617i
\(125\) 7.95596 + 5.11298i 0.711603 + 0.457319i
\(126\) −0.629769 + 4.38014i −0.0561043 + 0.390214i
\(127\) 0.775959 5.39691i 0.0688552 0.478899i −0.925994 0.377537i \(-0.876771\pi\)
0.994850 0.101362i \(-0.0323199\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −1.90777 2.20169i −0.167970 0.193848i
\(130\) −2.42576 5.31168i −0.212754 0.465865i
\(131\) −7.29997 + 4.69140i −0.637801 + 0.409890i −0.819190 0.573522i \(-0.805577\pi\)
0.181389 + 0.983411i \(0.441941\pi\)
\(132\) −1.58282 0.464758i −0.137767 0.0404520i
\(133\) −19.1303 + 22.0776i −1.65881 + 1.91437i
\(134\) −11.5574 + 3.39356i −0.998406 + 0.293159i
\(135\) 0.443376 0.970858i 0.0381597 0.0835582i
\(136\) −0.558746 3.88617i −0.0479121 0.333236i
\(137\) 8.98175 0.767363 0.383682 0.923465i \(-0.374656\pi\)
0.383682 + 0.923465i \(0.374656\pi\)
\(138\) −4.68219 1.03782i −0.398575 0.0883453i
\(139\) 3.06287 0.259789 0.129895 0.991528i \(-0.458536\pi\)
0.129895 + 0.991528i \(0.458536\pi\)
\(140\) 0.672158 + 4.67496i 0.0568077 + 0.395106i
\(141\) 3.99756 8.75344i 0.336656 0.737173i
\(142\) 5.05092 1.48308i 0.423864 0.124458i
\(143\) 5.91038 6.82094i 0.494251 0.570396i
\(144\) −0.959493 0.281733i −0.0799577 0.0234777i
\(145\) 5.74593 3.69269i 0.477174 0.306661i
\(146\) 2.98499 + 6.53621i 0.247039 + 0.540941i
\(147\) 8.23961 + 9.50901i 0.679591 + 0.784290i
\(148\) −1.85981 1.19523i −0.152875 0.0982470i
\(149\) 2.90507 20.2052i 0.237993 1.65528i −0.423922 0.905699i \(-0.639347\pi\)
0.661915 0.749579i \(-0.269744\pi\)
\(150\) −0.549456 + 3.82155i −0.0448629 + 0.312029i
\(151\) −10.6960 6.87389i −0.870427 0.559390i 0.0274562 0.999623i \(-0.491259\pi\)
−0.897883 + 0.440233i \(0.854896\pi\)
\(152\) −4.32306 4.98908i −0.350646 0.404667i
\(153\) 1.63097 + 3.57133i 0.131856 + 0.288725i
\(154\) −6.14113 + 3.94666i −0.494866 + 0.318031i
\(155\) −3.08750 0.906571i −0.247994 0.0728176i
\(156\) 3.58282 4.13480i 0.286855 0.331049i
\(157\) 1.09842 0.322526i 0.0876638 0.0257404i −0.237607 0.971361i \(-0.576363\pi\)
0.325270 + 0.945621i \(0.394545\pi\)
\(158\) 1.11905 2.45037i 0.0890266 0.194941i
\(159\) −0.317418 2.20769i −0.0251729 0.175082i
\(160\) −1.06731 −0.0843782
\(161\) −17.0392 + 12.6513i −1.34288 + 0.997063i
\(162\) 1.00000 0.0785674
\(163\) −0.683592 4.75449i −0.0535431 0.372400i −0.998922 0.0464260i \(-0.985217\pi\)
0.945379 0.325974i \(-0.105692\pi\)
\(164\) 1.69978 3.72201i 0.132731 0.290640i
\(165\) 1.68936 0.496041i 0.131516 0.0386167i
\(166\) −3.62690 + 4.18567i −0.281502 + 0.324871i
\(167\) −11.2720 3.30976i −0.872254 0.256117i −0.185180 0.982705i \(-0.559287\pi\)
−0.687074 + 0.726588i \(0.741105\pi\)
\(168\) −3.72270 + 2.39243i −0.287212 + 0.184580i
\(169\) 7.03429 + 15.4029i 0.541099 + 1.18484i
\(170\) 2.74412 + 3.16689i 0.210465 + 0.242889i
\(171\) 5.55353 + 3.56904i 0.424689 + 0.272931i
\(172\) 0.414598 2.88359i 0.0316128 0.219872i
\(173\) 0.728537 5.06708i 0.0553896 0.385243i −0.943203 0.332216i \(-0.892204\pi\)
0.998593 0.0530276i \(-0.0168871\pi\)
\(174\) 5.38357 + 3.45981i 0.408127 + 0.262287i
\(175\) 11.1883 + 12.9120i 0.845754 + 0.976052i
\(176\) −0.685287 1.50057i −0.0516554 0.113110i
\(177\) −8.20397 + 5.27237i −0.616648 + 0.396296i
\(178\) −10.8673 3.19093i −0.814540 0.239171i
\(179\) 12.2769 14.1683i 0.917619 1.05899i −0.0804426 0.996759i \(-0.525633\pi\)
0.998062 0.0622298i \(-0.0198212\pi\)
\(180\) 1.02408 0.300696i 0.0763301 0.0224125i
\(181\) −3.01827 + 6.60909i −0.224346 + 0.491250i −0.988015 0.154359i \(-0.950669\pi\)
0.763669 + 0.645608i \(0.223396\pi\)
\(182\) −3.44554 23.9643i −0.255401 1.77635i
\(183\) 1.55946 0.115278
\(184\) −2.28185 4.21819i −0.168220 0.310969i
\(185\) 2.35956 0.173478
\(186\) −0.429067 2.98423i −0.0314607 0.218814i
\(187\) −2.69052 + 5.89142i −0.196751 + 0.430824i
\(188\) 9.23326 2.71113i 0.673404 0.197729i
\(189\) 2.89788 3.34433i 0.210790 0.243264i
\(190\) 6.76043 + 1.98504i 0.490453 + 0.144010i
\(191\) 21.1841 13.6142i 1.53283 0.985090i 0.543499 0.839410i \(-0.317099\pi\)
0.989332 0.145681i \(-0.0465372\pi\)
\(192\) −0.415415 0.909632i −0.0299800 0.0656470i
\(193\) −11.0715 12.7772i −0.796948 0.919727i 0.201262 0.979537i \(-0.435496\pi\)
−0.998210 + 0.0598109i \(0.980950\pi\)
\(194\) 10.0777 + 6.47656i 0.723539 + 0.464990i
\(195\) −0.831030 + 5.77994i −0.0595113 + 0.413910i
\(196\) −1.79064 + 12.4542i −0.127903 + 0.889583i
\(197\) −10.8033 6.94289i −0.769706 0.494660i 0.0958965 0.995391i \(-0.469428\pi\)
−0.865603 + 0.500731i \(0.833065\pi\)
\(198\) 1.08029 + 1.24672i 0.0767727 + 0.0886004i
\(199\) 5.65154 + 12.3751i 0.400627 + 0.877251i 0.997206 + 0.0746967i \(0.0237989\pi\)
−0.596579 + 0.802554i \(0.703474\pi\)
\(200\) −3.24796 + 2.08733i −0.229665 + 0.147597i
\(201\) 11.5574 + 3.39356i 0.815195 + 0.239363i
\(202\) 12.0894 13.9519i 0.850604 0.981649i
\(203\) 27.1717 7.97832i 1.90708 0.559968i
\(204\) −1.63097 + 3.57133i −0.114191 + 0.250043i
\(205\) 0.621515 + 4.32273i 0.0434085 + 0.301913i
\(206\) −11.4277 −0.796207
\(207\) 3.37782 + 3.40446i 0.234775 + 0.236626i
\(208\) 5.47112 0.379354
\(209\) 1.54982 + 10.7793i 0.107204 + 0.745617i
\(210\) 1.96202 4.29622i 0.135392 0.296468i
\(211\) 20.2858 5.95646i 1.39654 0.410060i 0.505042 0.863095i \(-0.331477\pi\)
0.891493 + 0.453035i \(0.149659\pi\)
\(212\) 1.46060 1.68562i 0.100314 0.115769i
\(213\) −5.05092 1.48308i −0.346083 0.101619i
\(214\) 12.5045 8.03615i 0.854790 0.549340i
\(215\) 1.29166 + 2.82835i 0.0880908 + 0.192892i
\(216\) 0.654861 + 0.755750i 0.0445576 + 0.0514222i
\(217\) −11.2236 7.21298i −0.761909 0.489649i
\(218\) −1.74805 + 12.1580i −0.118393 + 0.823442i
\(219\) 1.02261 7.11242i 0.0691017 0.480613i
\(220\) 1.48118 + 0.951895i 0.0998610 + 0.0641768i
\(221\) −14.0666 16.2337i −0.946223 1.09200i
\(222\) 0.918382 + 2.01098i 0.0616378 + 0.134968i
\(223\) −2.14678 + 1.37965i −0.143759 + 0.0923885i −0.610543 0.791983i \(-0.709049\pi\)
0.466784 + 0.884371i \(0.345413\pi\)
\(224\) −4.24593 1.24672i −0.283693 0.0832998i
\(225\) 2.52832 2.91784i 0.168555 0.194522i
\(226\) 2.89251 0.849316i 0.192407 0.0564957i
\(227\) −8.19315 + 17.9405i −0.543798 + 1.19075i 0.415820 + 0.909447i \(0.363495\pi\)
−0.959618 + 0.281305i \(0.909233\pi\)
\(228\) 0.939490 + 6.53430i 0.0622193 + 0.432745i
\(229\) −11.2054 −0.740473 −0.370237 0.928937i \(-0.620723\pi\)
−0.370237 + 0.928937i \(0.620723\pi\)
\(230\) 4.48285 + 2.47072i 0.295590 + 0.162915i
\(231\) 7.29997 0.480303
\(232\) 0.910738 + 6.33432i 0.0597929 + 0.415869i
\(233\) 7.48542 16.3908i 0.490386 1.07380i −0.489090 0.872234i \(-0.662671\pi\)
0.979476 0.201562i \(-0.0646019\pi\)
\(234\) −5.24950 + 1.54139i −0.343171 + 0.100764i
\(235\) −6.72593 + 7.76213i −0.438751 + 0.506346i
\(236\) −9.35706 2.74748i −0.609092 0.178846i
\(237\) −2.26617 + 1.45638i −0.147204 + 0.0946021i
\(238\) 7.21735 + 15.8038i 0.467831 + 1.02441i
\(239\) −17.8436 20.5926i −1.15421 1.33203i −0.934293 0.356506i \(-0.883968\pi\)
−0.219914 0.975519i \(-0.570578\pi\)
\(240\) 0.897877 + 0.577031i 0.0579577 + 0.0372472i
\(241\) 3.17028 22.0498i 0.204216 1.42035i −0.587383 0.809309i \(-0.699842\pi\)
0.791599 0.611041i \(-0.209249\pi\)
\(242\) 1.17818 8.19441i 0.0757362 0.526757i
\(243\) −0.841254 0.540641i −0.0539664 0.0346821i
\(244\) 1.02123 + 1.17856i 0.0653773 + 0.0754494i
\(245\) −5.57866 12.2156i −0.356408 0.780424i
\(246\) −3.44222 + 2.21218i −0.219468 + 0.141043i
\(247\) −34.6545 10.1755i −2.20502 0.647451i
\(248\) 1.97435 2.27852i 0.125371 0.144686i
\(249\) 5.31408 1.56036i 0.336766 0.0988835i
\(250\) 3.92869 8.60263i 0.248472 0.544078i
\(251\) 1.45152 + 10.0956i 0.0916192 + 0.637226i 0.982950 + 0.183872i \(0.0588633\pi\)
−0.891331 + 0.453353i \(0.850228\pi\)
\(252\) 4.42518 0.278760
\(253\) −0.595379 + 7.88898i −0.0374311 + 0.495976i
\(254\) −5.45241 −0.342115
\(255\) −0.596355 4.14774i −0.0373452 0.259741i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −26.7109 + 7.84303i −1.66618 + 0.489235i −0.972860 0.231395i \(-0.925671\pi\)
−0.693321 + 0.720629i \(0.743853\pi\)
\(258\) −1.90777 + 2.20169i −0.118773 + 0.137071i
\(259\) 9.38672 + 2.75619i 0.583263 + 0.171261i
\(260\) −4.91239 + 3.15700i −0.304654 + 0.195789i
\(261\) −2.65843 5.82115i −0.164553 0.360320i
\(262\) 5.68255 + 6.55801i 0.351069 + 0.405155i
\(263\) 6.35034 + 4.08112i 0.391579 + 0.251652i 0.721584 0.692327i \(-0.243414\pi\)
−0.330006 + 0.943979i \(0.607051\pi\)
\(264\) −0.234769 + 1.63285i −0.0144490 + 0.100495i
\(265\) −0.338784 + 2.35629i −0.0208113 + 0.144746i
\(266\) 24.5754 + 15.7936i 1.50681 + 0.968370i
\(267\) 7.41703 + 8.55970i 0.453915 + 0.523845i
\(268\) 5.00380 + 10.9568i 0.305656 + 0.669293i
\(269\) 4.94396 3.17729i 0.301439 0.193723i −0.381174 0.924503i \(-0.624480\pi\)
0.682612 + 0.730781i \(0.260844\pi\)
\(270\) −1.02408 0.300696i −0.0623232 0.0182998i
\(271\) −13.8865 + 16.0259i −0.843545 + 0.973503i −0.999899 0.0141978i \(-0.995481\pi\)
0.156354 + 0.987701i \(0.450026\pi\)
\(272\) −3.76709 + 1.10612i −0.228414 + 0.0670683i
\(273\) −10.0575 + 22.0228i −0.608707 + 1.33288i
\(274\) −1.27824 8.89033i −0.0772211 0.537085i
\(275\) 6.36903 0.384067
\(276\) −0.360914 + 4.78223i −0.0217244 + 0.287857i
\(277\) 3.17305 0.190650 0.0953251 0.995446i \(-0.469611\pi\)
0.0953251 + 0.995446i \(0.469611\pi\)
\(278\) −0.435892 3.03169i −0.0261430 0.181829i
\(279\) −1.25244 + 2.74246i −0.0749816 + 0.164187i
\(280\) 4.53172 1.33063i 0.270822 0.0795205i
\(281\) 11.9648 13.8081i 0.713759 0.823722i −0.276783 0.960932i \(-0.589268\pi\)
0.990542 + 0.137211i \(0.0438138\pi\)
\(282\) −9.23326 2.71113i −0.549832 0.161445i
\(283\) 18.9284 12.1645i 1.12518 0.723107i 0.160628 0.987015i \(-0.448648\pi\)
0.964548 + 0.263908i \(0.0850116\pi\)
\(284\) −2.18681 4.78845i −0.129763 0.284142i
\(285\) −4.61404 5.32488i −0.273312 0.315419i
\(286\) −7.59265 4.87950i −0.448963 0.288531i
\(287\) −2.57687 + 17.9225i −0.152108 + 1.05793i
\(288\) −0.142315 + 0.989821i −0.00838598 + 0.0583258i
\(289\) −1.33382 0.857197i −0.0784603 0.0504234i
\(290\) −4.47283 5.16192i −0.262654 0.303118i
\(291\) −4.97643 10.8969i −0.291724 0.638786i
\(292\) 6.04488 3.88481i 0.353750 0.227341i
\(293\) 9.98040 + 2.93051i 0.583061 + 0.171202i 0.559944 0.828530i \(-0.310823\pi\)
0.0231175 + 0.999733i \(0.492641\pi\)
\(294\) 8.23961 9.50901i 0.480544 0.554577i
\(295\) 9.98687 2.93241i 0.581458 0.170731i
\(296\) −0.918382 + 2.01098i −0.0533799 + 0.116886i
\(297\) −0.234769 1.63285i −0.0136227 0.0947477i
\(298\) −20.4130 −1.18249
\(299\) −22.9795 12.6651i −1.32894 0.732444i
\(300\) 3.86085 0.222906
\(301\) 1.83467 + 12.7604i 0.105749 + 0.735499i
\(302\) −5.28173 + 11.5654i −0.303929 + 0.665513i
\(303\) −17.7132 + 5.20105i −1.01759 + 0.298793i
\(304\) −4.32306 + 4.98908i −0.247944 + 0.286143i
\(305\) −1.59700 0.468921i −0.0914439 0.0268504i
\(306\) 3.30287 2.12262i 0.188812 0.121342i
\(307\) 2.13196 + 4.66834i 0.121677 + 0.266436i 0.960663 0.277718i \(-0.0895780\pi\)
−0.838985 + 0.544154i \(0.816851\pi\)
\(308\) 4.78047 + 5.51695i 0.272392 + 0.314357i
\(309\) 9.61361 + 6.17829i 0.546899 + 0.351471i
\(310\) −0.457947 + 3.18509i −0.0260096 + 0.180901i
\(311\) −3.04140 + 21.1534i −0.172462 + 1.19950i 0.701199 + 0.712965i \(0.252648\pi\)
−0.873661 + 0.486534i \(0.838261\pi\)
\(312\) −4.60260 2.95791i −0.260571 0.167459i
\(313\) −10.4550 12.0658i −0.590953 0.681997i 0.378969 0.925409i \(-0.376279\pi\)
−0.969923 + 0.243413i \(0.921733\pi\)
\(314\) −0.475566 1.04134i −0.0268377 0.0587664i
\(315\) −3.97327 + 2.55347i −0.223868 + 0.143871i
\(316\) −2.58469 0.758933i −0.145400 0.0426933i
\(317\) −7.12740 + 8.22545i −0.400314 + 0.461987i −0.919740 0.392528i \(-0.871601\pi\)
0.519426 + 0.854516i \(0.326146\pi\)
\(318\) −2.14005 + 0.628375i −0.120008 + 0.0352375i
\(319\) 4.38547 9.60283i 0.245539 0.537655i
\(320\) 0.151894 + 1.05645i 0.00849113 + 0.0590571i
\(321\) −14.8641 −0.829634
\(322\) 14.9475 + 15.0653i 0.832990 + 0.839558i
\(323\) 25.9183 1.44213
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) −8.77489 + 19.2143i −0.486743 + 1.06582i
\(326\) −4.60881 + 1.35327i −0.255258 + 0.0749506i
\(327\) 8.04365 9.28287i 0.444815 0.513344i
\(328\) −3.92603 1.15279i −0.216779 0.0636519i
\(329\) −35.8238 + 23.0225i −1.97503 + 1.26927i
\(330\) −0.731413 1.60157i −0.0402629 0.0881636i
\(331\) 8.84577 + 10.2086i 0.486208 + 0.561113i 0.944848 0.327508i \(-0.106209\pi\)
−0.458641 + 0.888622i \(0.651664\pi\)
\(332\) 4.65922 + 2.99430i 0.255708 + 0.164334i
\(333\) 0.314624 2.18826i 0.0172413 0.119916i
\(334\) −1.67190 + 11.6283i −0.0914821 + 0.636272i
\(335\) −10.8152 6.95051i −0.590898 0.379747i
\(336\) 2.89788 + 3.34433i 0.158092 + 0.182448i
\(337\) −0.791811 1.73382i −0.0431327 0.0944474i 0.886839 0.462079i \(-0.152896\pi\)
−0.929972 + 0.367631i \(0.880169\pi\)
\(338\) 14.2451 9.15475i 0.774830 0.497953i
\(339\) −2.89251 0.849316i −0.157099 0.0461285i
\(340\) 2.74412 3.16689i 0.148821 0.171749i
\(341\) −4.77207 + 1.40121i −0.258422 + 0.0758796i
\(342\) 2.74236 6.00493i 0.148290 0.324709i
\(343\) −3.51551 24.4509i −0.189820 1.32023i
\(344\) −2.91325 −0.157072
\(345\) −2.43544 4.50212i −0.131120 0.242386i
\(346\) −5.11919 −0.275209
\(347\) −1.37041 9.53143i −0.0735676 0.511674i −0.992971 0.118358i \(-0.962237\pi\)
0.919403 0.393316i \(-0.128672\pi\)
\(348\) 2.65843 5.82115i 0.142507 0.312047i
\(349\) 30.4262 8.93395i 1.62868 0.478223i 0.665347 0.746534i \(-0.268284\pi\)
0.963332 + 0.268311i \(0.0864655\pi\)
\(350\) 11.1883 12.9120i 0.598038 0.690173i
\(351\) 5.24950 + 1.54139i 0.280198 + 0.0822735i
\(352\) −1.38777 + 0.891865i −0.0739683 + 0.0475366i
\(353\) 3.21155 + 7.03232i 0.170934 + 0.374292i 0.975639 0.219382i \(-0.0704040\pi\)
−0.804705 + 0.593674i \(0.797677\pi\)
\(354\) 6.38626 + 7.37013i 0.339426 + 0.391718i
\(355\) 4.72657 + 3.03758i 0.250860 + 0.161218i
\(356\) −1.61187 + 11.2108i −0.0854291 + 0.594173i
\(357\) 2.47255 17.1970i 0.130861 0.910161i
\(358\) −15.7713 10.1356i −0.833538 0.535682i
\(359\) 24.2538 + 27.9904i 1.28007 + 1.47728i 0.799940 + 0.600080i \(0.204864\pi\)
0.480128 + 0.877198i \(0.340590\pi\)
\(360\) −0.443376 0.970858i −0.0233680 0.0511687i
\(361\) 20.6778 13.2888i 1.08830 0.699410i
\(362\) 6.97137 + 2.04698i 0.366407 + 0.107587i
\(363\) −5.42138 + 6.25661i −0.284549 + 0.328387i
\(364\) −23.2300 + 6.82094i −1.21758 + 0.357514i
\(365\) −3.18591 + 6.97616i −0.166758 + 0.365149i
\(366\) −0.221934 1.54358i −0.0116007 0.0806843i
\(367\) −12.1890 −0.636260 −0.318130 0.948047i \(-0.603055\pi\)
−0.318130 + 0.948047i \(0.603055\pi\)
\(368\) −3.85052 + 2.85894i −0.200722 + 0.149032i
\(369\) 4.09177 0.213009
\(370\) −0.335801 2.33554i −0.0174574 0.121419i
\(371\) −4.10011 + 8.97798i −0.212867 + 0.466114i
\(372\) −2.89279 + 0.849399i −0.149984 + 0.0440393i
\(373\) −3.63198 + 4.19152i −0.188057 + 0.217029i −0.841947 0.539561i \(-0.818590\pi\)
0.653890 + 0.756589i \(0.273136\pi\)
\(374\) 6.21436 + 1.82470i 0.321337 + 0.0943530i
\(375\) −7.95596 + 5.11298i −0.410844 + 0.264033i
\(376\) −3.99756 8.75344i −0.206159 0.451424i
\(377\) 22.9281 + 26.4605i 1.18086 + 1.36278i
\(378\) −3.72270 2.39243i −0.191475 0.123054i
\(379\) 1.45629 10.1287i 0.0748044 0.520276i −0.917624 0.397450i \(-0.869895\pi\)
0.992428 0.122826i \(-0.0391957\pi\)
\(380\) 1.00273 6.97412i 0.0514388 0.357765i
\(381\) 4.58686 + 2.94780i 0.234992 + 0.151020i
\(382\) −16.4905 19.0310i −0.843726 0.973711i
\(383\) −1.86555 4.08499i −0.0953253 0.208733i 0.855962 0.517038i \(-0.172966\pi\)
−0.951288 + 0.308305i \(0.900238\pi\)
\(384\) −0.841254 + 0.540641i −0.0429300 + 0.0275895i
\(385\) −7.47572 2.19507i −0.380998 0.111871i
\(386\) −11.0715 + 12.7772i −0.563527 + 0.650345i
\(387\) 2.79524 0.820757i 0.142090 0.0417214i
\(388\) 4.97643 10.8969i 0.252640 0.553204i
\(389\) −0.486473 3.38350i −0.0246652 0.171550i 0.973765 0.227555i \(-0.0730730\pi\)
−0.998431 + 0.0560044i \(0.982164\pi\)
\(390\) 5.83938 0.295688
\(391\) 18.3829 + 4.07462i 0.929662 + 0.206063i
\(392\) 12.5822 0.635499
\(393\) −1.23494 8.58916i −0.0622942 0.433266i
\(394\) −5.33474 + 11.6815i −0.268760 + 0.588503i
\(395\) 2.75866 0.810016i 0.138803 0.0407563i
\(396\) 1.08029 1.24672i 0.0542865 0.0626499i
\(397\) 24.0355 + 7.05746i 1.20631 + 0.354204i 0.822261 0.569111i \(-0.192712\pi\)
0.384046 + 0.923314i \(0.374531\pi\)
\(398\) 11.4449 7.35518i 0.573680 0.368682i
\(399\) −12.1354 26.5729i −0.607532 1.33031i
\(400\) 2.52832 + 2.91784i 0.126416 + 0.145892i
\(401\) −7.53498 4.84244i −0.376279 0.241820i 0.338808 0.940856i \(-0.389976\pi\)
−0.715087 + 0.699036i \(0.753613\pi\)
\(402\) 1.71423 11.9227i 0.0854978 0.594650i
\(403\) 2.34748 16.3271i 0.116936 0.813309i
\(404\) −15.5303 9.98075i −0.772663 0.496561i
\(405\) 0.698939 + 0.806618i 0.0347305 + 0.0400812i
\(406\) −11.7640 25.7597i −0.583840 1.27843i
\(407\) 3.06802 1.97170i 0.152076 0.0977334i
\(408\) 3.76709 + 1.10612i 0.186499 + 0.0547610i
\(409\) 15.2462 17.5950i 0.753874 0.870017i −0.241064 0.970509i \(-0.577496\pi\)
0.994938 + 0.100492i \(0.0320418\pi\)
\(410\) 4.19028 1.23038i 0.206943 0.0607640i
\(411\) −3.73116 + 8.17009i −0.184044 + 0.403001i
\(412\) 1.62633 + 11.3114i 0.0801237 + 0.557273i
\(413\) 43.1547 2.12351
\(414\) 2.88909 3.82794i 0.141991 0.188133i
\(415\) −5.91121 −0.290170
\(416\) −0.778622 5.41543i −0.0381751 0.265513i
\(417\) −1.27236 + 2.78608i −0.0623078 + 0.136435i
\(418\) 10.4490 3.06810i 0.511077 0.150066i
\(419\) 1.47320 1.70016i 0.0719705 0.0830584i −0.718622 0.695400i \(-0.755227\pi\)
0.790593 + 0.612342i \(0.209772\pi\)
\(420\) −4.53172 1.33063i −0.221125 0.0649282i
\(421\) −15.6993 + 10.0893i −0.765138 + 0.491724i −0.864071 0.503370i \(-0.832093\pi\)
0.0989332 + 0.995094i \(0.468457\pi\)
\(422\) −8.78281 19.2317i −0.427540 0.936183i
\(423\) 6.30176 + 7.27262i 0.306402 + 0.353607i
\(424\) −1.87633 1.20584i −0.0911226 0.0585609i
\(425\) 2.15724 15.0039i 0.104641 0.727796i
\(426\) −0.749168 + 5.21058i −0.0362973 + 0.252453i
\(427\) −5.80538 3.73089i −0.280942 0.180551i
\(428\) −9.73393 11.2336i −0.470507 0.542994i
\(429\) 3.74929 + 8.20979i 0.181017 + 0.396372i
\(430\) 2.61574 1.68103i 0.126142 0.0810666i
\(431\) −4.62210 1.35717i −0.222639 0.0653726i 0.168511 0.985700i \(-0.446104\pi\)
−0.391149 + 0.920327i \(0.627922\pi\)
\(432\) 0.654861 0.755750i 0.0315070 0.0363610i
\(433\) 6.00189 1.76231i 0.288433 0.0846914i −0.134316 0.990939i \(-0.542884\pi\)
0.422748 + 0.906247i \(0.361065\pi\)
\(434\) −5.54228 + 12.1359i −0.266038 + 0.582541i
\(435\) 0.972039 + 6.76068i 0.0466057 + 0.324150i
\(436\) 12.2830 0.588249
\(437\) 29.7067 10.9473i 1.42107 0.523682i
\(438\) −7.18556 −0.343339
\(439\) 1.92771 + 13.4075i 0.0920045 + 0.639905i 0.982686 + 0.185278i \(0.0593185\pi\)
−0.890682 + 0.454627i \(0.849772\pi\)
\(440\) 0.731413 1.60157i 0.0348687 0.0763519i
\(441\) −12.0726 + 3.54482i −0.574884 + 0.168801i
\(442\) −14.0666 + 16.2337i −0.669081 + 0.772160i
\(443\) −5.31546 1.56076i −0.252545 0.0741540i 0.153010 0.988225i \(-0.451103\pi\)
−0.405555 + 0.914071i \(0.632922\pi\)
\(444\) 1.85981 1.19523i 0.0882626 0.0567229i
\(445\) −5.02173 10.9960i −0.238053 0.521263i
\(446\) 1.67113 + 1.92859i 0.0791304 + 0.0913213i
\(447\) 17.1725 + 11.0361i 0.812232 + 0.521990i
\(448\) −0.629769 + 4.38014i −0.0297538 + 0.206942i
\(449\) 1.92795 13.4092i 0.0909858 0.632820i −0.892394 0.451258i \(-0.850976\pi\)
0.983379 0.181562i \(-0.0581154\pi\)
\(450\) −3.24796 2.08733i −0.153110 0.0983979i
\(451\) 4.42029 + 5.10128i 0.208143 + 0.240210i
\(452\) −1.25232 2.74219i −0.0589041 0.128982i
\(453\) 10.6960 6.87389i 0.502541 0.322964i
\(454\) 18.9239 + 5.55655i 0.888142 + 0.260782i
\(455\) 16.9218 19.5288i 0.793306 0.915524i
\(456\) 6.33409 1.85986i 0.296621 0.0870957i
\(457\) −4.61680 + 10.1094i −0.215965 + 0.472897i −0.986346 0.164687i \(-0.947339\pi\)
0.770381 + 0.637584i \(0.220066\pi\)
\(458\) 1.59469 + 11.0913i 0.0745151 + 0.518264i
\(459\) −3.92613 −0.183256
\(460\) 1.80760 4.78884i 0.0842797 0.223281i
\(461\) −33.3324 −1.55245 −0.776223 0.630459i \(-0.782867\pi\)
−0.776223 + 0.630459i \(0.782867\pi\)
\(462\) −1.03889 7.22567i −0.0483337 0.336169i
\(463\) −8.07365 + 17.6788i −0.375214 + 0.821605i 0.623979 + 0.781441i \(0.285515\pi\)
−0.999193 + 0.0401636i \(0.987212\pi\)
\(464\) 6.14024 1.80294i 0.285053 0.0836992i
\(465\) 2.10724 2.43188i 0.0977209 0.112776i
\(466\) −17.2892 5.07658i −0.800908 0.235168i
\(467\) −28.2030 + 18.1250i −1.30508 + 0.838724i −0.993756 0.111579i \(-0.964409\pi\)
−0.311325 + 0.950303i \(0.600773\pi\)
\(468\) 2.27279 + 4.97671i 0.105060 + 0.230048i
\(469\) −34.9058 40.2835i −1.61180 1.86012i
\(470\) 8.64033 + 5.55280i 0.398549 + 0.256132i
\(471\) −0.162921 + 1.13314i −0.00750703 + 0.0522125i
\(472\) −1.38787 + 9.65282i −0.0638817 + 0.444307i
\(473\) 4.04291 + 2.59822i 0.185893 + 0.119466i
\(474\) 1.76407 + 2.03584i 0.0810263 + 0.0935093i
\(475\) −10.5878 23.1841i −0.485804 1.06376i
\(476\) 14.6158 9.39300i 0.669914 0.430527i
\(477\) 2.14005 + 0.628375i 0.0979861 + 0.0287713i
\(478\) −17.8436 + 20.5926i −0.816147 + 0.941884i
\(479\) 1.58866 0.466472i 0.0725876 0.0213137i −0.245237 0.969463i \(-0.578866\pi\)
0.317825 + 0.948149i \(0.397048\pi\)
\(480\) 0.443376 0.970858i 0.0202373 0.0443134i
\(481\) 1.72134 + 11.9722i 0.0784865 + 0.545886i
\(482\) −22.2765 −1.01467
\(483\) −4.42968 20.7550i −0.201557 0.944384i
\(484\) −8.27868 −0.376303
\(485\) 1.81960 + 12.6556i 0.0826238 + 0.574661i
\(486\) −0.415415 + 0.909632i −0.0188436 + 0.0412617i
\(487\) 20.1450 5.91510i 0.912856 0.268039i 0.208614 0.977998i \(-0.433105\pi\)
0.704243 + 0.709959i \(0.251287\pi\)
\(488\) 1.02123 1.17856i 0.0462287 0.0533508i
\(489\) 4.60881 + 1.35327i 0.208418 + 0.0611969i
\(490\) −11.2973 + 7.26033i −0.510360 + 0.327988i
\(491\) 10.7230 + 23.4802i 0.483924 + 1.05965i 0.981366 + 0.192148i \(0.0615454\pi\)
−0.497442 + 0.867497i \(0.665727\pi\)
\(492\) 2.67954 + 3.09235i 0.120803 + 0.139414i
\(493\) −21.1366 13.5837i −0.951944 0.611777i
\(494\) −5.14006 + 35.7499i −0.231262 + 1.60847i
\(495\) −0.250571 + 1.74276i −0.0112623 + 0.0783312i
\(496\) −2.53631 1.62999i −0.113884 0.0731885i
\(497\) 15.2549 + 17.6051i 0.684275 + 0.789695i
\(498\) −2.30075 5.03793i −0.103099 0.225755i
\(499\) −5.41570 + 3.48046i −0.242440 + 0.155807i −0.656219 0.754571i \(-0.727845\pi\)
0.413779 + 0.910378i \(0.364209\pi\)
\(500\) −9.07418 2.66442i −0.405810 0.119156i
\(501\) 7.69322 8.87845i 0.343708 0.396660i
\(502\) 9.78622 2.87349i 0.436781 0.128250i
\(503\) 4.22191 9.24470i 0.188246 0.412201i −0.791853 0.610712i \(-0.790883\pi\)
0.980099 + 0.198511i \(0.0636106\pi\)
\(504\) −0.629769 4.38014i −0.0280521 0.195107i
\(505\) 19.7035 0.876796
\(506\) 7.89341 0.533400i 0.350905 0.0237125i
\(507\) −16.9332 −0.752028
\(508\) 0.775959 + 5.39691i 0.0344276 + 0.239449i
\(509\) −10.8955 + 23.8578i −0.482933 + 1.05748i 0.498713 + 0.866767i \(0.333806\pi\)
−0.981647 + 0.190709i \(0.938921\pi\)
\(510\) −4.02065 + 1.18057i −0.178037 + 0.0522765i
\(511\) −20.8229 + 24.0309i −0.921150 + 1.06306i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −5.55353 + 3.56904i −0.245194 + 0.157577i
\(514\) 11.5646 + 25.3228i 0.510091 + 1.11694i
\(515\) −7.98727 9.21780i −0.351961 0.406185i
\(516\) 2.45078 + 1.57502i 0.107890 + 0.0693364i
\(517\) −2.25919 + 15.7130i −0.0993592 + 0.691059i
\(518\) 1.39227 9.68343i 0.0611727 0.425465i
\(519\) 4.30654 + 2.76764i 0.189036 + 0.121486i
\(520\) 3.82398 + 4.41311i 0.167693 + 0.193527i
\(521\) 6.39845 + 14.0106i 0.280321 + 0.613818i 0.996453 0.0841470i \(-0.0268165\pi\)
−0.716132 + 0.697965i \(0.754089\pi\)
\(522\) −5.38357 + 3.45981i −0.235632 + 0.151432i
\(523\) 25.1618 + 7.38818i 1.10025 + 0.323062i 0.780951 0.624592i \(-0.214735\pi\)
0.319298 + 0.947654i \(0.396553\pi\)
\(524\) 5.68255 6.55801i 0.248243 0.286488i
\(525\) −16.3929 + 4.81339i −0.715445 + 0.210074i
\(526\) 3.13583 6.86651i 0.136729 0.299394i
\(527\) 1.68457 + 11.7165i 0.0733811 + 0.510377i
\(528\) 1.64964 0.0717915
\(529\) 22.7909 3.09434i 0.990909 0.134536i
\(530\) 2.38052 0.103403
\(531\) −1.38787 9.65282i −0.0602283 0.418897i
\(532\) 12.1354 26.5729i 0.526138 1.15208i
\(533\) −21.4798 + 6.30703i −0.930392 + 0.273188i
\(534\) 7.41703 8.55970i 0.320966 0.370415i
\(535\) 15.2220 + 4.46958i 0.658104 + 0.193237i
\(536\) 10.1332 6.51219i 0.437686 0.281284i
\(537\) 7.78793 + 17.0532i 0.336074 + 0.735900i
\(538\) −3.84855 4.44146i −0.165923 0.191485i
\(539\) −17.4612 11.2216i −0.752108 0.483351i
\(540\) −0.151894 + 1.05645i −0.00653647 + 0.0454622i
\(541\) −0.141885 + 0.986830i −0.00610010 + 0.0424271i −0.992644 0.121069i \(-0.961368\pi\)
0.986544 + 0.163496i \(0.0522770\pi\)
\(542\) 17.8390 + 11.4644i 0.766252 + 0.492440i
\(543\) −4.75801 5.49103i −0.204186 0.235643i
\(544\) 1.63097 + 3.57133i 0.0699274 + 0.153120i
\(545\) −11.0286 + 7.08767i −0.472414 + 0.303602i
\(546\) 23.2300 + 6.82094i 0.994152 + 0.291909i
\(547\) −3.81944 + 4.40787i −0.163307 + 0.188467i −0.831505 0.555517i \(-0.812520\pi\)
0.668198 + 0.743984i \(0.267066\pi\)
\(548\) −8.61793 + 2.53045i −0.368140 + 0.108096i
\(549\) −0.647821 + 1.41853i −0.0276483 + 0.0605414i
\(550\) −0.906407 6.30420i −0.0386493 0.268812i
\(551\) −42.2460 −1.79974
\(552\) 4.78492 0.323343i 0.203660 0.0137624i
\(553\) 11.9206 0.506914
\(554\) −0.451573 3.14076i −0.0191855 0.133438i
\(555\) −0.980197 + 2.14633i −0.0416071 + 0.0911067i
\(556\) −2.93880 + 0.862910i −0.124633 + 0.0365955i
\(557\) 21.5121 24.8262i 0.911495 1.05192i −0.0869520 0.996213i \(-0.527713\pi\)
0.998447 0.0557089i \(-0.0177419\pi\)
\(558\) 2.89279 + 0.849399i 0.122461 + 0.0359579i
\(559\) −13.4085 + 8.61713i −0.567120 + 0.364466i
\(560\) −1.96202 4.29622i −0.0829105 0.181549i
\(561\) −4.24134 4.89477i −0.179070 0.206657i
\(562\) −15.3703 9.87790i −0.648357 0.416674i
\(563\) 1.71395 11.9208i 0.0722344 0.502402i −0.921298 0.388856i \(-0.872870\pi\)
0.993533 0.113545i \(-0.0362207\pi\)
\(564\) −1.36950 + 9.52511i −0.0576665 + 0.401079i
\(565\) 2.70676 + 1.73953i 0.113874 + 0.0731825i
\(566\) −14.7345 17.0045i −0.619338 0.714754i
\(567\) 1.83829 + 4.02529i 0.0772008 + 0.169046i
\(568\) −4.42849 + 2.84602i −0.185815 + 0.119416i
\(569\) 12.3983 + 3.64048i 0.519765 + 0.152617i 0.531084 0.847319i \(-0.321785\pi\)
−0.0113189 + 0.999936i \(0.503603\pi\)
\(570\) −4.61404 + 5.32488i −0.193261 + 0.223035i
\(571\) −32.5250 + 9.55020i −1.36113 + 0.399663i −0.879161 0.476525i \(-0.841896\pi\)
−0.481968 + 0.876189i \(0.660078\pi\)
\(572\) −3.74929 + 8.20979i −0.156766 + 0.343269i
\(573\) 3.58372 + 24.9253i 0.149712 + 1.04127i
\(574\) 18.1068 0.755764
\(575\) −3.86478 18.1082i −0.161172 0.755163i
\(576\) 1.00000 0.0416667
\(577\) 3.19552 + 22.2254i 0.133031 + 0.925254i 0.941572 + 0.336813i \(0.109349\pi\)
−0.808540 + 0.588441i \(0.799742\pi\)
\(578\) −0.658649 + 1.44224i −0.0273962 + 0.0599893i
\(579\) 16.2219 4.76317i 0.674158 0.197951i
\(580\) −4.47283 + 5.16192i −0.185724 + 0.214337i
\(581\) −23.5158 6.90486i −0.975599 0.286462i
\(582\) −10.0777 + 6.47656i −0.417735 + 0.268462i
\(583\) 1.52846 + 3.34686i 0.0633024 + 0.138613i
\(584\) −4.70554 5.43048i −0.194717 0.224715i
\(585\) −4.91239 3.15700i −0.203103 0.130526i
\(586\) 1.48032 10.2959i 0.0611516 0.425319i
\(587\) 0.163758 1.13896i 0.00675903 0.0470101i −0.986163 0.165780i \(-0.946986\pi\)
0.992922 + 0.118770i \(0.0378950\pi\)
\(588\) −10.5848 6.80247i −0.436512 0.280529i
\(589\) 13.0336 + 15.0416i 0.537042 + 0.619780i
\(590\) −4.32384 9.46789i −0.178010 0.389787i
\(591\) 10.8033 6.94289i 0.444390 0.285592i
\(592\) 2.12121 + 0.622842i 0.0871810 + 0.0255987i
\(593\) 2.14872 2.47976i 0.0882376 0.101832i −0.709914 0.704289i \(-0.751266\pi\)
0.798151 + 0.602457i \(0.205812\pi\)
\(594\) −1.58282 + 0.464758i −0.0649440 + 0.0190693i
\(595\) −7.70314 + 16.8675i −0.315798 + 0.691501i
\(596\) 2.90507 + 20.2052i 0.118996 + 0.827639i
\(597\) −13.6046 −0.556798
\(598\) −9.26591 + 24.5480i −0.378911 + 1.00384i
\(599\) 3.76746 0.153934 0.0769671 0.997034i \(-0.475476\pi\)
0.0769671 + 0.997034i \(0.475476\pi\)
\(600\) −0.549456 3.82155i −0.0224315 0.156014i
\(601\) 8.17680 17.9047i 0.333538 0.730347i −0.666345 0.745644i \(-0.732142\pi\)
0.999883 + 0.0152967i \(0.00486927\pi\)
\(602\) 12.3694 3.63200i 0.504141 0.148029i
\(603\) −7.88800 + 9.10324i −0.321224 + 0.370712i
\(604\) 12.1993 + 3.58205i 0.496384 + 0.145751i
\(605\) 7.43324 4.77705i 0.302204 0.194215i
\(606\) 7.66896 + 16.7927i 0.311530 + 0.682156i
\(607\) −28.1237 32.4564i −1.14150 1.31737i −0.941284 0.337616i \(-0.890380\pi\)
−0.200221 0.979751i \(-0.564166\pi\)
\(608\) 5.55353 + 3.56904i 0.225225 + 0.144744i
\(609\) −4.03018 + 28.0305i −0.163311 + 1.13585i
\(610\) −0.236872 + 1.64748i −0.00959066 + 0.0667045i
\(611\) −44.2911 28.4641i −1.79183 1.15154i
\(612\) −2.57107 2.96717i −0.103929 0.119941i
\(613\) 9.71463 + 21.2721i 0.392370 + 0.859171i 0.997987 + 0.0634149i \(0.0201991\pi\)
−0.605617 + 0.795756i \(0.707074\pi\)
\(614\) 4.31741 2.77463i 0.174237 0.111975i
\(615\) −4.19028 1.23038i −0.168968 0.0496136i
\(616\) 4.78047 5.51695i 0.192610 0.222284i
\(617\) −7.16091 + 2.10263i −0.288287 + 0.0846488i −0.422679 0.906280i \(-0.638910\pi\)
0.134392 + 0.990928i \(0.457092\pi\)
\(618\) 4.74724 10.3950i 0.190962 0.418149i
\(619\) −4.63655 32.2479i −0.186359 1.29615i −0.841339 0.540508i \(-0.818232\pi\)
0.654980 0.755646i \(-0.272677\pi\)
\(620\) 3.21784 0.129232
\(621\) −4.50000 + 1.65831i −0.180579 + 0.0665458i
\(622\) 21.3709 0.856896
\(623\) −7.13283 49.6099i −0.285771 1.98758i
\(624\) −2.27279 + 4.97671i −0.0909842 + 0.199228i
\(625\) −8.83735 + 2.59488i −0.353494 + 0.103795i
\(626\) −10.4550 + 12.0658i −0.417867 + 0.482244i
\(627\) −10.4490 3.06810i −0.417292 0.122528i
\(628\) −0.963064 + 0.618924i −0.0384304 + 0.0246977i
\(629\) −3.60568 7.89535i −0.143768 0.314808i
\(630\) 3.09293 + 3.56943i 0.123225 + 0.142210i
\(631\) −14.5045 9.32146i −0.577414 0.371082i 0.219099 0.975703i \(-0.429688\pi\)
−0.796513 + 0.604621i \(0.793325\pi\)
\(632\) −0.383368 + 2.66639i −0.0152496 + 0.106063i
\(633\) −3.00886 + 20.9271i −0.119591 + 0.831776i
\(634\) 9.15606 + 5.88425i 0.363634 + 0.233693i
\(635\) −3.81090 4.39802i −0.151231 0.174530i
\(636\) 0.926540 + 2.02884i 0.0367397 + 0.0804487i
\(637\) 57.9110 37.2171i 2.29452 1.47460i
\(638\) −10.1292 2.97420i −0.401019 0.117750i
\(639\) 3.44729 3.97838i 0.136373 0.157382i
\(640\) 1.02408 0.300696i 0.0404801 0.0118860i
\(641\) 16.8914 36.9870i 0.667170 1.46090i −0.208516 0.978019i \(-0.566863\pi\)
0.875686 0.482880i \(-0.160409\pi\)
\(642\) 2.11539 + 14.7128i 0.0834876 + 0.580669i
\(643\) −11.4111 −0.450008 −0.225004 0.974358i \(-0.572240\pi\)
−0.225004 + 0.974358i \(0.572240\pi\)
\(644\) 12.7847 16.9393i 0.503790 0.667504i
\(645\) −3.10933 −0.122430
\(646\) −3.68856 25.6545i −0.145124 1.00936i
\(647\) 14.3578 31.4391i 0.564462 1.23600i −0.385232 0.922820i \(-0.625878\pi\)
0.949694 0.313180i \(-0.101394\pi\)
\(648\) −0.959493 + 0.281733i −0.0376924 + 0.0110675i
\(649\) 10.5350 12.1581i 0.413537 0.477247i
\(650\) 20.2675 + 5.95109i 0.794959 + 0.233421i
\(651\) 11.2236 7.21298i 0.439888 0.282699i
\(652\) 1.99540 + 4.36931i 0.0781457 + 0.171115i
\(653\) −5.61473 6.47974i −0.219721 0.253572i 0.635178 0.772366i \(-0.280927\pi\)
−0.854899 + 0.518794i \(0.826381\pi\)
\(654\) −10.3331 6.64069i −0.404057 0.259671i
\(655\) −1.31806 + 9.16729i −0.0515008 + 0.358196i
\(656\) −0.582320 + 4.05012i −0.0227358 + 0.158131i
\(657\) 6.04488 + 3.88481i 0.235833 + 0.151561i
\(658\) 27.8864 + 32.1827i 1.08713 + 1.25461i
\(659\) −1.75450 3.84181i −0.0683454 0.149656i 0.872376 0.488835i \(-0.162578\pi\)
−0.940722 + 0.339179i \(0.889851\pi\)
\(660\) −1.48118 + 0.951895i −0.0576548 + 0.0370525i
\(661\) 22.1777 + 6.51196i 0.862612 + 0.253286i 0.682970 0.730446i \(-0.260688\pi\)
0.179642 + 0.983732i \(0.442506\pi\)
\(662\) 8.84577 10.2086i 0.343801 0.396767i
\(663\) 20.6102 6.05170i 0.800434 0.235029i
\(664\) 2.30075 5.03793i 0.0892863 0.195510i
\(665\) 4.43725 + 30.8617i 0.172069 + 1.19677i
\(666\) −2.21076 −0.0856651
\(667\) −29.9635 6.64150i −1.16019 0.257160i
\(668\) 11.7479 0.454539
\(669\) −0.363172 2.52591i −0.0140410 0.0976575i
\(670\) −5.34060 + 11.6943i −0.206325 + 0.451790i
\(671\) −2.46834 + 0.724770i −0.0952892 + 0.0279794i
\(672\) 2.89788 3.34433i 0.111788 0.129010i
\(673\) 43.1923 + 12.6824i 1.66494 + 0.488871i 0.972559 0.232658i \(-0.0747423\pi\)
0.692384 + 0.721529i \(0.256561\pi\)
\(674\) −1.60349 + 1.03050i −0.0617641 + 0.0396934i
\(675\) 1.60386 + 3.51195i 0.0617324 + 0.135175i
\(676\) −11.0889 12.7972i −0.426495 0.492201i
\(677\) −26.1110 16.7805i −1.00353 0.644928i −0.0678176 0.997698i \(-0.521604\pi\)
−0.935710 + 0.352770i \(0.885240\pi\)
\(678\) −0.429025 + 2.98393i −0.0164766 + 0.114597i
\(679\) −7.54427 + 52.4715i −0.289522 + 2.01367i
\(680\) −3.52518 2.26550i −0.135185 0.0868778i
\(681\) −12.9157 14.9055i −0.494930 0.571180i
\(682\) 2.06608 + 4.52408i 0.0791143 + 0.173236i
\(683\) −21.8572 + 14.0468i −0.836344 + 0.537485i −0.887288 0.461216i \(-0.847413\pi\)
0.0509442 + 0.998701i \(0.483777\pi\)
\(684\) −6.33409 1.85986i −0.242190 0.0711134i
\(685\) 6.27770 7.24485i 0.239858 0.276811i
\(686\) −23.7018 + 6.95946i −0.904937 + 0.265714i
\(687\) 4.65489 10.1928i 0.177595 0.388879i
\(688\) 0.414598 + 2.88359i 0.0158064 + 0.109936i
\(689\) −12.2028 −0.464888
\(690\) −4.10969 + 3.05137i −0.156453 + 0.116164i
\(691\) 33.5110 1.27482 0.637410 0.770525i \(-0.280006\pi\)
0.637410 + 0.770525i \(0.280006\pi\)
\(692\) 0.728537 + 5.06708i 0.0276948 + 0.192622i
\(693\) −3.03252 + 6.64029i −0.115196 + 0.252244i
\(694\) −9.23938 + 2.71293i −0.350722 + 0.102981i
\(695\) 2.14076 2.47057i 0.0812036 0.0937139i
\(696\) −6.14024 1.80294i −0.232745 0.0683401i
\(697\) 13.5146 8.68530i 0.511901 0.328979i
\(698\) −13.1731 28.8451i −0.498610 1.09180i
\(699\) 11.8000 + 13.6180i 0.446318 + 0.515078i
\(700\) −14.3728 9.23683i −0.543240 0.349119i
\(701\) 0.833884 5.79979i 0.0314954 0.219055i −0.967995 0.250968i \(-0.919251\pi\)
0.999491 + 0.0319133i \(0.0101601\pi\)
\(702\) 0.778622 5.41543i 0.0293872 0.204392i
\(703\) −12.2775 7.89027i −0.463055 0.297587i
\(704\) 1.08029 + 1.24672i 0.0407148 + 0.0469874i
\(705\) −4.26663 9.34263i −0.160691 0.351864i
\(706\) 6.50369 4.17967i 0.244769 0.157304i
\(707\) 78.3839 + 23.0156i 2.94793 + 0.865591i
\(708\) 6.38626 7.37013i 0.240010 0.276987i
\(709\) −43.2693 + 12.7050i −1.62501 + 0.477147i −0.962360 0.271779i \(-0.912388\pi\)
−0.662653 + 0.748926i \(0.730570\pi\)
\(710\) 2.33400 5.11075i 0.0875935 0.191803i
\(711\) −0.383368 2.66639i −0.0143774 0.0999973i
\(712\) 11.3261 0.424464
\(713\) 6.87958 + 12.7175i 0.257642 + 0.476274i
\(714\) −17.3738 −0.650199
\(715\) −1.37090 9.53484i −0.0512689 0.356583i
\(716\) −7.78793 + 17.0532i −0.291049 + 0.637308i
\(717\) 26.1442 7.67663i 0.976373 0.286689i
\(718\) 24.2538 27.9904i 0.905145 1.04459i
\(719\) 31.5875 + 9.27493i 1.17802 + 0.345897i 0.811409 0.584479i \(-0.198701\pi\)
0.366607 + 0.930376i \(0.380519\pi\)
\(720\) −0.897877 + 0.577031i −0.0334619 + 0.0215047i
\(721\) −21.0074 45.9998i −0.782357 1.71312i
\(722\) −16.0963 18.5761i −0.599042 0.691331i
\(723\) 18.7402 + 12.0436i 0.696955 + 0.447906i
\(724\) 1.03401 7.19172i 0.0384288 0.267278i
\(725\) −3.51622 + 24.4559i −0.130589 + 0.908269i
\(726\) 6.96446 + 4.47579i 0.258476 + 0.166112i
\(727\) 1.64107 + 1.89390i 0.0608641 + 0.0702409i 0.785365 0.619033i \(-0.212475\pi\)
−0.724501 + 0.689274i \(0.757930\pi\)
\(728\) 10.0575 + 22.0228i 0.372755 + 0.816220i
\(729\) 0.841254 0.540641i 0.0311575 0.0200237i
\(730\) 7.35855 + 2.16067i 0.272352 + 0.0799699i
\(731\) 7.49015 8.64410i 0.277033 0.319714i
\(732\) −1.49629 + 0.439349i −0.0553043 + 0.0162388i
\(733\) −4.60963 + 10.0937i −0.170261 + 0.372818i −0.975457 0.220189i \(-0.929332\pi\)
0.805197 + 0.593008i \(0.202060\pi\)
\(734\) 1.73467 + 12.0649i 0.0640279 + 0.445324i
\(735\) 13.4291 0.495341
\(736\) 3.37782 + 3.40446i 0.124508 + 0.125490i
\(737\) −19.8705 −0.731938
\(738\) −0.582320 4.05012i −0.0214355 0.149087i
\(739\) −15.0167 + 32.8820i −0.552399 + 1.20958i 0.403254 + 0.915088i \(0.367879\pi\)
−0.955653 + 0.294496i \(0.904848\pi\)
\(740\) −2.26398 + 0.664765i −0.0832256 + 0.0244373i
\(741\) 23.6520 27.2958i 0.868877 1.00274i
\(742\) 9.47011 + 2.78067i 0.347659 + 0.102082i
\(743\) 22.3469 14.3615i 0.819830 0.526873i −0.0622013 0.998064i \(-0.519812\pi\)
0.882031 + 0.471191i \(0.156176\pi\)
\(744\) 1.25244 + 2.74246i 0.0459167 + 0.100544i
\(745\) −14.2674 16.4655i −0.522719 0.603249i
\(746\) 4.66574 + 2.99849i 0.170825 + 0.109783i
\(747\) −0.788201 + 5.48206i −0.0288388 + 0.200578i
\(748\) 0.921732 6.41079i 0.0337019 0.234402i
\(749\) 55.3347 + 35.5614i 2.02188 + 1.29939i
\(750\) 6.19319 + 7.14732i 0.226143 + 0.260983i
\(751\) 5.72851 + 12.5437i 0.209036 + 0.457725i 0.984889 0.173189i \(-0.0554072\pi\)
−0.775852 + 0.630914i \(0.782680\pi\)
\(752\) −8.09543 + 5.20262i −0.295210 + 0.189720i
\(753\) −9.78622 2.87349i −0.356630 0.104716i
\(754\) 22.9281 26.4605i 0.834993 0.963633i
\(755\) −13.0204 + 3.82315i −0.473863 + 0.139139i
\(756\) −1.83829 + 4.02529i −0.0668578 + 0.146398i
\(757\) 5.42275 + 37.7160i 0.197093 + 1.37081i 0.812664 + 0.582732i \(0.198016\pi\)
−0.615571 + 0.788081i \(0.711075\pi\)
\(758\) −10.2328 −0.371674
\(759\) −6.92874 3.81878i −0.251497 0.138613i
\(760\) −7.04583 −0.255579
\(761\) −6.16173 42.8558i −0.223363 1.55352i −0.725187 0.688551i \(-0.758247\pi\)
0.501825 0.864969i \(-0.332662\pi\)
\(762\) 2.26501 4.95969i 0.0820528 0.179671i
\(763\) −52.1527 + 15.3134i −1.88806 + 0.554383i
\(764\) −16.4905 + 19.0310i −0.596604 + 0.688518i
\(765\) 4.02065 + 1.18057i 0.145367 + 0.0426836i
\(766\) −3.77792 + 2.42792i −0.136502 + 0.0877243i
\(767\) 22.1644 + 48.5333i 0.800310 + 1.75243i
\(768\) 0.654861 + 0.755750i 0.0236303 + 0.0272708i
\(769\) −29.5055 18.9620i −1.06400 0.683789i −0.113189 0.993573i \(-0.536107\pi\)
−0.950807 + 0.309785i \(0.899743\pi\) <