Properties

Label 138.2.e.b.31.1
Level $138$
Weight $2$
Character 138.31
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 31.1
Root \(0.142315 - 0.989821i\) of defining polynomial
Character \(\chi\) \(=\) 138.31
Dual form 138.2.e.b.49.1

$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{11}\right)\)

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 0.890199 0.455572i \(-0.150565\pi\)
−0.577624 + 0.816303i \(0.696020\pi\)
\(6\) 0.959493 0.281733i 0.391711 0.115017i
\(7\) 3.72270 + 2.39243i 1.40705 + 0.904255i 0.999958 0.00913325i \(-0.00290725\pi\)
0.407090 + 0.913388i \(0.366544\pi\)
\(8\) 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 0.994116 + 0.108318i \(0.0345465\pi\)
−0.923331 + 0.384005i \(0.874544\pi\)
\(12\) 0.142315 + 0.989821i 0.0410828 + 0.285737i
\(13\) 4.60260 2.95791i 1.27653 0.820377i 0.286075 0.958207i \(-0.407649\pi\)
0.990456 + 0.137830i \(0.0440128\pi\)
\(14\) −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 −0.704578 0.709626i \(-0.748864\pi\)
−0.209076 + 0.977899i \(0.567046\pi\)
\(18\) −0.654861 0.755750i −0.154352 0.178132i
\(19\) −6.33409 1.85986i −1.45314 0.426680i −0.542561 0.840017i \(-0.682545\pi\)
−0.910578 + 0.413337i \(0.864363\pi\)
\(20\) −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 0.343499 0.939153i \(-0.388388\pi\)
0.796714 + 0.604356i \(0.206570\pi\)
\(30\) 0.897877 + 0.577031i 0.163929 + 0.105351i
\(31\) −1.25244 + 2.74246i −0.224945 + 0.492561i −0.988130 0.153619i \(-0.950907\pi\)
0.763185 + 0.646180i \(0.223634\pi\)
\(32\) −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 −0.624163 0.781294i \(-0.714560\pi\)
0.862169 + 0.506620i \(0.169105\pi\)
\(38\) 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 0.506898 0.862006i \(-0.330792\pi\)
−0.925371 + 0.379062i \(0.876247\pi\)
\(42\) 4.24593 + 1.24672i 0.655161 + 0.192373i
\(43\) −1.21021 2.64998i −0.184555 0.404119i 0.794629 0.607096i \(-0.207666\pi\)
−0.979183 + 0.202977i \(0.934938\pi\)
\(44\) 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 0.405393 0.914142i \(-0.367135\pi\)
−0.663127 + 0.748507i \(0.730771\pi\)
\(54\) −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 0.116296 0.993215i \(-0.462898\pi\)
0.951771 + 0.306810i \(0.0992616\pi\)
\(60\) −0.698939 + 0.806618i −0.0902326 + 0.104134i
\(61\) −0.647821 + 1.41853i −0.0829450 + 0.181624i −0.946560 0.322528i \(-0.895468\pi\)
0.863615 + 0.504152i \(0.168195\pi\)
\(62\) −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 0.565610 + 0.824673i \(0.308641\pi\)
−0.775036 + 0.631917i \(0.782268\pi\)
\(68\) 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 −0.895836 0.444384i \(-0.853423\pi\)
0.984746 0.173997i \(-0.0556684\pi\)
\(72\) 0.415415 + 0.909632i 0.0489571 + 0.107201i
\(73\) −6.89449 2.02441i −0.806939 0.236939i −0.147856 0.989009i \(-0.547237\pi\)
−0.659083 + 0.752070i \(0.729055\pi\)
\(74\) 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 −0.406915 0.913466i \(-0.633395\pi\)
0.661879 + 0.749610i \(0.269759\pi\)
\(80\) 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 −0.919043 0.394157i \(-0.871036\pi\)
0.520939 + 0.853594i \(0.325582\pi\)
\(84\) −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 0.976879 + 0.213792i \(0.0685816\pi\)
−0.478146 + 0.878280i \(0.658691\pi\)
\(90\) 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 0.201661 0.979455i \(-0.435366\pi\)
−0.998185 + 0.0602176i \(0.980821\pi\)
\(98\) −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 0.302570 0.953127i \(-0.402155\pi\)
0.900365 0.435135i \(-0.143299\pi\)
\(102\) −3.30287 + 2.12262i −0.327033 + 0.210171i
\(103\) 1.62633 + 11.3114i 0.160247 + 1.11455i 0.898166 + 0.439656i \(0.144900\pi\)
−0.737919 + 0.674889i \(0.764191\pi\)
\(104\) −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 −0.334219 0.942495i \(-0.608472\pi\)
0.931157 0.364618i \(-0.118800\pi\)
\(108\) −0.841254 0.540641i −0.0809497 0.0520232i
\(109\) −11.7854 + 3.46052i −1.12884 + 0.331458i −0.792252 0.610194i \(-0.791092\pi\)
−0.336589 + 0.941652i \(0.609273\pi\)
\(110\) −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 −0.959641 0.281229i \(-0.909258\pi\)
1.00000 0.000524443i \(0.000166935\pi\)
\(114\) −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 0.994850 + 0.101362i \(0.0323199\pi\)
−0.925994 + 0.377537i \(0.876771\pi\)
\(128\) 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 0.181389 0.983411i \(-0.441941\pi\)
−0.819190 + 0.573522i \(0.805577\pi\)
\(132\) −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 0.661915 + 0.749579i \(0.269744\pi\)
−0.423922 + 0.905699i \(0.639347\pi\)
\(150\) −0.549456 3.82155i −0.0448629 0.312029i
\(151\) −10.6960 + 6.87389i −0.870427 + 0.559390i −0.897883 0.440233i \(-0.854896\pi\)
0.0274562 + 0.999623i \(0.491259\pi\)
\(152\) −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 0.325270 0.945621i \(-0.394545\pi\)
−0.237607 + 0.971361i \(0.576363\pi\)
\(158\) 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 0.945379 + 0.325974i \(0.105692\pi\)
−0.998922 + 0.0464260i \(0.985217\pi\)
\(164\) 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 −0.687074 0.726588i \(-0.741105\pi\)
−0.185180 + 0.982705i \(0.559287\pi\)
\(168\) −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 0.998593 + 0.0530276i \(0.0168871\pi\)
−0.943203 + 0.332216i \(0.892204\pi\)
\(174\) 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 0.998062 + 0.0622298i \(0.0198212\pi\)
−0.0804426 + 0.996759i \(0.525633\pi\)
\(180\) 1.02408 + 0.300696i 0.0763301 + 0.0224125i
\(181\) −3.01827 6.60909i −0.224346 0.491250i 0.763669 0.645608i \(-0.223396\pi\)
−0.988015 + 0.154359i \(0.950669\pi\)
\(182\) −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 0.989332 + 0.145681i \(0.0465372\pi\)
0.543499 + 0.839410i \(0.317099\pi\)
\(192\) −0.415415 + 0.909632i −0.0299800 + 0.0656470i
\(193\) −11.0715 + 12.7772i −0.796948 + 0.919727i −0.998210 0.0598109i \(-0.980950\pi\)
0.201262 + 0.979537i \(0.435496\pi\)
\(194\) 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 −0.865603 0.500731i \(-0.833065\pi\)
0.0958965 + 0.995391i \(0.469428\pi\)
\(198\) 1.08029 1.24672i 0.0767727 0.0886004i
\(199\) 5.65154 12.3751i 0.400627 0.877251i −0.596579 0.802554i \(-0.703474\pi\)
0.997206 0.0746967i \(-0.0237989\pi\)
\(200\) −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 0.891493 0.453035i \(-0.149659\pi\)
0.505042 + 0.863095i \(0.331477\pi\)
\(212\) 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 0.466784 0.884371i \(-0.345413\pi\)
−0.610543 + 0.791983i \(0.709049\pi\)
\(224\) −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 −0.959618 0.281305i \(-0.909233\pi\)
0.415820 0.909447i \(-0.363495\pi\)
\(228\) 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 0.979476 + 0.201562i \(0.0646019\pi\)
−0.489090 + 0.872234i \(0.662671\pi\)
\(234\) −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 −0.219914 + 0.975519i \(0.570578\pi\)
−0.934293 + 0.356506i \(0.883968\pi\)
\(240\) 0.897877 0.577031i 0.0579577 0.0372472i
\(241\) 3.17028 + 22.0498i 0.204216 + 1.42035i 0.791599 + 0.611041i \(0.209249\pi\)
−0.587383 + 0.809309i \(0.699842\pi\)
\(242\) 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 −0.891331 0.453353i \(-0.850228\pi\)
0.982950 0.183872i \(-0.0588633\pi\)
\(252\) 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 −0.693321 0.720629i \(-0.743853\pi\)
−0.972860 + 0.231395i \(0.925671\pi\)
\(258\) −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 −0.330006 0.943979i \(-0.607051\pi\)
0.721584 + 0.692327i \(0.243414\pi\)
\(264\) −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 0.682612 0.730781i \(-0.260844\pi\)
−0.381174 + 0.924503i \(0.624480\pi\)
\(270\) −1.02408 + 0.300696i −0.0623232 + 0.0182998i
\(271\) −13.8865 16.0259i −0.843545 0.973503i 0.156354 0.987701i \(-0.450026\pi\)
−0.999899 + 0.0141978i \(0.995481\pi\)
\(272\) −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 0.990542 0.137211i \(-0.0438138\pi\)
−0.276783 + 0.960932i \(0.589268\pi\)
\(282\) −9.23326 + 2.71113i −0.549832 + 0.161445i
\(283\) 18.9284 + 12.1645i 1.12518 + 0.723107i 0.964548 0.263908i \(-0.0850116\pi\)
0.160628 + 0.987015i \(0.448648\pi\)
\(284\) −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 0.0231175 0.999733i \(-0.492641\pi\)
0.559944 + 0.828530i \(0.310823\pi\)
\(294\) 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 −0.838985 0.544154i \(-0.816851\pi\)
0.960663 + 0.277718i \(0.0895780\pi\)
\(308\) 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 −0.873661 0.486534i \(-0.838261\pi\)
0.701199 0.712965i \(-0.252648\pi\)
\(312\) −4.60260 + 2.95791i −0.260571 + 0.167459i
\(313\) −10.4550 + 12.0658i −0.590953 + 0.681997i −0.969923 0.243413i \(-0.921733\pi\)
0.378969 + 0.925409i \(0.376279\pi\)
\(314\) −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 0.519426 0.854516i \(-0.326146\pi\)
−0.919740 + 0.392528i \(0.871601\pi\)
\(318\) −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 −0.458641 0.888622i \(-0.651664\pi\)
0.944848 + 0.327508i \(0.106209\pi\)
\(332\) 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 −0.929972 0.367631i \(-0.880169\pi\)
0.886839 + 0.462079i \(0.152896\pi\)
\(338\) 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 0.919403 + 0.393316i \(0.128672\pi\)
−0.992971 + 0.118358i \(0.962237\pi\)
\(348\) 2.65843 + 5.82115i 0.142507 + 0.312047i
\(349\) 30.4262 + 8.93395i 1.62868 + 0.478223i 0.963332 0.268311i \(-0.0864655\pi\)
0.665347 + 0.746534i \(0.268284\pi\)
\(350\) 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 −0.804705 0.593674i \(-0.797677\pi\)
0.975639 + 0.219382i \(0.0704040\pi\)
\(354\) 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 0.480128 0.877198i \(-0.340590\pi\)
0.799940 0.600080i \(-0.204864\pi\)
\(360\) −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 0.653890 0.756589i \(-0.273136\pi\)
−0.841947 + 0.539561i \(0.818590\pi\)
\(374\) 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 0.992428 + 0.122826i \(0.0391957\pi\)
−0.917624 + 0.397450i \(0.869895\pi\)
\(380\) 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 −0.951288 0.308305i \(-0.900238\pi\)
0.855962 + 0.517038i \(0.172966\pi\)
\(384\) −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 −0.998431 0.0560044i \(-0.982164\pi\)
0.973765 + 0.227555i \(0.0730730\pi\)
\(390\) 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 0.384046 0.923314i \(-0.374531\pi\)
0.822261 + 0.569111i \(0.192712\pi\)
\(398\) 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 −0.715087 0.699036i \(-0.753613\pi\)
0.338808 + 0.940856i \(0.389976\pi\)
\(402\) 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 0.994938 0.100492i \(-0.0320418\pi\)
−0.241064 + 0.970509i \(0.577496\pi\)
\(410\) 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 0.790593 0.612342i \(-0.209772\pi\)
−0.718622 + 0.695400i \(0.755227\pi\)
\(420\) −4.53172 + 1.33063i −0.221125 + 0.0649282i
\(421\) −15.6993 10.0893i −0.765138 0.491724i 0.0989332 0.995094i \(-0.468457\pi\)
−0.864071 + 0.503370i \(0.832093\pi\)
\(422\) −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 −0.391149 0.920327i \(-0.627922\pi\)
0.168511 + 0.985700i \(0.446104\pi\)
\(432\) 0.654861 + 0.755750i 0.0315070 + 0.0363610i
\(433\) 6.00189 + 1.76231i 0.288433 + 0.0846914i 0.422748 0.906247i \(-0.361065\pi\)
−0.134316 + 0.990939i \(0.542884\pi\)
\(434\) −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 −0.890682 0.454627i \(-0.849772\pi\)
0.982686 0.185278i \(-0.0593185\pi\)
\(440\) 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 −0.405555 0.914071i \(-0.632922\pi\)
0.153010 + 0.988225i \(0.451103\pi\)
\(444\) 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 0.983379 + 0.181562i \(0.0581154\pi\)
−0.892394 + 0.451258i \(0.850976\pi\)
\(450\) −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 0.770381 0.637584i \(-0.220066\pi\)
−0.986346 + 0.164687i \(0.947339\pi\)
\(458\) 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 −0.999193 0.0401636i \(-0.987212\pi\)
0.623979 0.781441i \(-0.285515\pi\)
\(464\) 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 −0.311325 0.950303i \(-0.600773\pi\)
−0.993756 + 0.111579i \(0.964409\pi\)
\(468\) 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 0.317825 0.948149i \(-0.397048\pi\)
−0.245237 + 0.969463i \(0.578866\pi\)
\(480\) 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 0.704243 0.709959i \(-0.251287\pi\)
0.208614 + 0.977998i \(0.433105\pi\)
\(488\) 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 −0.497442 0.867497i \(-0.665727\pi\)
0.981366 0.192148i \(-0.0615454\pi\)
\(492\) 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 0.413779 0.910378i \(-0.364209\pi\)
−0.656219 + 0.754571i \(0.727845\pi\)
\(500\) −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 0.980099 0.198511i \(-0.0636106\pi\)
−0.791853 + 0.610712i \(0.790883\pi\)
\(504\) −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 −0.981647 0.190709i \(-0.938921\pi\)
0.498713 0.866767i \(-0.333806\pi\)
\(510\) −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 −0.716132 0.697965i \(-0.754089\pi\)
0.996453 + 0.0841470i \(0.0268165\pi\)
\(522\) −5.38357 3.45981i −0.235632 0.151432i
\(523\) 25.1618 7.38818i 1.10025 0.323062i 0.319298 0.947654i \(-0.396553\pi\)
0.780951 + 0.624592i \(0.214735\pi\)
\(524\) 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 0.986544 0.163496i \(-0.0522770\pi\)
−0.992644 + 0.121069i \(0.961368\pi\)
\(542\) 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 0.668198 0.743984i \(-0.267066\pi\)
−0.831505 + 0.555517i \(0.812520\pi\)
\(548\) −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 0.998447 + 0.0557089i \(0.0177419\pi\)
−0.0869520 + 0.996213i \(0.527713\pi\)
\(558\) 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 0.993533 + 0.113545i \(0.0362207\pi\)
−0.921298 + 0.388856i \(0.872870\pi\)
\(564\) −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 −0.0113189 0.999936i \(-0.503603\pi\)
0.531084 + 0.847319i \(0.321785\pi\)
\(570\) −4.61404 5.32488i −0.193261 0.223035i
\(571\) −32.5250 9.55020i −1.36113 0.399663i −0.481968 0.876189i \(-0.660078\pi\)
−0.879161 + 0.476525i \(0.841896\pi\)
\(572\) −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 −0.808540 0.588441i \(-0.799742\pi\)
0.941572 0.336813i \(-0.109349\pi\)
\(578\) −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 0.992922 0.118770i \(-0.0378950\pi\)
−0.986163 + 0.165780i \(0.946986\pi\)
\(588\) −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 0.798151 0.602457i \(-0.205812\pi\)
−0.709914 + 0.704289i \(0.751266\pi\)
\(594\) −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 0.999883 0.0152967i \(-0.00486927\pi\)
−0.666345 + 0.745644i \(0.732142\pi\)
\(602\) 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 −0.200221 + 0.979751i \(0.564166\pi\)
−0.941284 + 0.337616i \(0.890380\pi\)
\(608\) 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 −0.605617 0.795756i \(-0.707074\pi\)
0.997987 0.0634149i \(-0.0201991\pi\)
\(614\) 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 0.134392 0.990928i \(-0.457092\pi\)
−0.422679 + 0.906280i \(0.638910\pi\)
\(618\) 4.74724 + 10.3950i 0.190962 + 0.418149i
\(619\) −4.63655 + 32.2479i −0.186359 + 1.29615i 0.654980 + 0.755646i \(0.272677\pi\)
−0.841339 + 0.540508i \(0.818232\pi\)
\(620\) 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 −0.796513 0.604621i \(-0.793325\pi\)
0.219099 + 0.975703i \(0.429688\pi\)
\(632\) −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 0.875686 + 0.482880i \(0.160409\pi\)
−0.208516 + 0.978019i \(0.566863\pi\)
\(642\) 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 0.949694 + 0.313180i \(0.101394\pi\)
−0.385232 + 0.922820i \(0.625878\pi\)
\(648\) −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 −0.854899 0.518794i \(-0.826381\pi\)
0.635178 + 0.772366i \(0.280927\pi\)
\(654\) −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 −0.940722 0.339179i \(-0.889851\pi\)
0.872376 + 0.488835i \(0.162578\pi\)
\(660\) −1.48118 0.951895i −0.0576548 0.0370525i
\(661\) 22.1777 6.51196i 0.862612 0.253286i 0.179642 0.983732i \(-0.442506\pi\)
0.682970 + 0.730446i \(0.260688\pi\)
\(662\) 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 0.692384 0.721529i \(-0.256561\pi\)
0.972559 + 0.232658i \(0.0747423\pi\)
\(674\) −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 −0.935710 0.352770i \(-0.885240\pi\)
−0.0678176 + 0.997698i \(0.521604\pi\)
\(678\) −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 0.0509442 0.998701i \(-0.483777\pi\)
−0.887288 + 0.461216i \(0.847413\pi\)
\(684\) −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 0.999491 0.0319133i \(-0.0101601\pi\)
−0.967995 + 0.250968i \(0.919251\pi\)
\(702\) 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 −0.662653 0.748926i \(-0.730570\pi\)
−0.962360 + 0.271779i \(0.912388\pi\)
\(710\) 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 0.366607 0.930376i \(-0.380519\pi\)
0.811409 + 0.584479i \(0.198701\pi\)
\(720\) −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 −0.724501 0.689274i \(-0.757930\pi\)
0.785365 + 0.619033i \(0.212475\pi\)
\(728\) 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 0.805197 0.593008i \(-0.202060\pi\)
−0.975457 + 0.220189i \(0.929332\pi\)
\(734\) 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 −0.955653 0.294496i \(-0.904848\pi\)
0.403254 0.915088i \(-0.367879\pi\)
\(740\) −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 0.882031 0.471191i \(-0.156176\pi\)
−0.0622013 + 0.998064i \(0.519812\pi\)
\(744\) 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 −0.775852 0.630914i \(-0.782680\pi\)
0.984889 + 0.173189i \(0.0554072\pi\)
\(752\) −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 −0.615571 0.788081i \(-0.711075\pi\)
0.812664 0.582732i \(-0.198016\pi\)
\(758\) −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 0.501825 + 0.864969i \(0.332662\pi\)
−0.725187 + 0.688551i \(0.758247\pi\)
\(762\) 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 −0.950807 0.309785i \(-0.899743\pi\)
−0.113189 + 0.993573i \(0.536107\pi\)