Properties

Label 546.2.bv.a.473.30
Level $546$
Weight $2$
Character 546.473
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 473.30
Character \(\chi\) \(=\) 546.473
Dual form 546.2.bv.a.359.30

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +(0.562845 + 1.63805i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.312774 - 1.16729i) q^{5} +(1.72791 - 0.119709i) q^{6} +(2.64214 + 0.138253i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.36641 + 1.84394i) q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +(0.562845 + 1.63805i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.312774 - 1.16729i) q^{5} +(1.72791 - 0.119709i) q^{6} +(2.64214 + 0.138253i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.36641 + 1.84394i) q^{9} +(-1.04656 - 0.604234i) q^{10} +(0.747171 + 2.78848i) q^{11} +(0.331586 - 1.70001i) q^{12} +(2.87814 - 2.17171i) q^{13} +(0.817378 - 2.51633i) q^{14} +(2.08812 - 0.144664i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.862469 - 1.49384i) q^{17} +(1.16863 + 2.76302i) q^{18} +(1.61736 + 0.433372i) q^{19} +(-0.854516 + 0.854516i) q^{20} +(1.26065 + 4.40576i) q^{21} +2.88685 q^{22} +(-0.390112 - 0.675694i) q^{23} +(-1.55627 - 0.760284i) q^{24} +(3.06539 + 1.76980i) q^{25} +(-1.35279 - 3.34215i) q^{26} +(-4.35238 - 2.83844i) q^{27} +(-2.21903 - 1.44080i) q^{28} -2.00726i q^{29} +(0.400711 - 2.05441i) q^{30} +(2.56714 + 9.58071i) q^{31} +(0.965926 - 0.258819i) q^{32} +(-4.14713 + 2.79339i) q^{33} +(-1.21972 - 1.21972i) q^{34} +(0.987774 - 3.04090i) q^{35} +(2.97134 - 0.413691i) q^{36} +(1.48535 - 5.54340i) q^{37} +(0.837210 - 1.45009i) q^{38} +(5.17731 + 3.49219i) q^{39} +(0.604234 + 1.04656i) q^{40} +(-6.58465 - 6.58465i) q^{41} +(4.58192 - 0.0773975i) q^{42} +1.13682i q^{43} +(0.747171 - 2.78848i) q^{44} +(1.41226 + 3.33902i) q^{45} +(-0.753638 + 0.201937i) q^{46} +(5.05198 + 1.35367i) q^{47} +(-1.13717 + 1.30646i) q^{48} +(6.96177 + 0.730567i) q^{49} +(2.50288 - 2.50288i) q^{50} +(2.93242 + 0.571966i) q^{51} +(-3.57840 + 0.441687i) q^{52} +(-6.11599 - 3.53107i) q^{53} +(-3.86821 + 3.46943i) q^{54} +3.48866 q^{55} +(-1.96603 + 1.77051i) q^{56} +(0.200442 + 2.89324i) q^{57} +(-1.93887 - 0.519517i) q^{58} +(2.89190 + 10.7927i) q^{59} +(-1.88070 - 0.918779i) q^{60} +(3.35860 + 5.81726i) q^{61} +9.91868 q^{62} +(-6.50731 + 4.54477i) q^{63} -1.00000i q^{64} +(-1.63481 - 4.03888i) q^{65} +(1.62485 + 4.72880i) q^{66} +(-2.36834 - 8.83876i) q^{67} +(-1.49384 + 0.862469i) q^{68} +(0.887247 - 1.01933i) q^{69} +(-2.68163 - 1.74116i) q^{70} +(-1.22914 - 1.22914i) q^{71} +(0.369444 - 2.97716i) q^{72} +(-13.7267 + 3.67807i) q^{73} +(-4.97008 - 2.86947i) q^{74} +(-1.17368 + 6.01738i) q^{75} +(-1.18399 - 1.18399i) q^{76} +(1.58861 + 7.47084i) q^{77} +(4.71319 - 4.09705i) q^{78} +(-8.54758 - 14.8048i) q^{79} +(1.16729 - 0.312774i) q^{80} +(2.19979 - 8.72702i) q^{81} +(-8.06451 + 4.65605i) q^{82} +(-10.4799 - 10.4799i) q^{83} +(1.11113 - 4.44583i) q^{84} +(-1.47399 - 1.47399i) q^{85} +(1.09808 + 0.294231i) q^{86} +(3.28799 - 1.12978i) q^{87} +(-2.50008 - 1.44342i) q^{88} +(-17.6614 - 4.73235i) q^{89} +(3.59077 - 0.499932i) q^{90} +(7.90468 - 5.34004i) q^{91} +0.780224i q^{92} +(-14.2488 + 9.59757i) q^{93} +(2.61510 - 4.52948i) q^{94} +(1.01174 - 1.75239i) q^{95} +(0.967625 + 1.43656i) q^{96} +(-5.27070 + 5.27070i) q^{97} +(2.50751 - 6.53547i) q^{98} +(-6.90989 - 5.22095i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) 0.562845 + 1.63805i 0.324959 + 0.945728i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.312774 1.16729i 0.139877 0.522028i −0.860053 0.510205i \(-0.829570\pi\)
0.999930 0.0118235i \(-0.00376363\pi\)
\(6\) 1.72791 0.119709i 0.705416 0.0488708i
\(7\) 2.64214 + 0.138253i 0.998634 + 0.0522548i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.36641 + 1.84394i −0.788803 + 0.614646i
\(10\) −1.04656 0.604234i −0.330953 0.191076i
\(11\) 0.747171 + 2.78848i 0.225281 + 0.840758i 0.982292 + 0.187357i \(0.0599920\pi\)
−0.757011 + 0.653402i \(0.773341\pi\)
\(12\) 0.331586 1.70001i 0.0957207 0.490752i
\(13\) 2.87814 2.17171i 0.798252 0.602324i
\(14\) 0.817378 2.51633i 0.218453 0.672516i
\(15\) 2.08812 0.144664i 0.539151 0.0373521i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 0.862469 1.49384i 0.209179 0.362310i −0.742277 0.670093i \(-0.766254\pi\)
0.951456 + 0.307784i \(0.0995874\pi\)
\(18\) 1.16863 + 2.76302i 0.275450 + 0.651251i
\(19\) 1.61736 + 0.433372i 0.371049 + 0.0994223i 0.439525 0.898231i \(-0.355147\pi\)
−0.0684757 + 0.997653i \(0.521814\pi\)
\(20\) −0.854516 + 0.854516i −0.191076 + 0.191076i
\(21\) 1.26065 + 4.40576i 0.275096 + 0.961417i
\(22\) 2.88685 0.615478
\(23\) −0.390112 0.675694i −0.0813439 0.140892i 0.822484 0.568789i \(-0.192588\pi\)
−0.903827 + 0.427897i \(0.859255\pi\)
\(24\) −1.55627 0.760284i −0.317672 0.155192i
\(25\) 3.06539 + 1.76980i 0.613078 + 0.353961i
\(26\) −1.35279 3.34215i −0.265305 0.655449i
\(27\) −4.35238 2.83844i −0.837616 0.546259i
\(28\) −2.21903 1.44080i −0.419357 0.272285i
\(29\) 2.00726i 0.372739i −0.982480 0.186369i \(-0.940328\pi\)
0.982480 0.186369i \(-0.0596722\pi\)
\(30\) 0.400711 2.05441i 0.0731595 0.375083i
\(31\) 2.56714 + 9.58071i 0.461073 + 1.72075i 0.669593 + 0.742728i \(0.266469\pi\)
−0.208520 + 0.978018i \(0.566865\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) −4.14713 + 2.79339i −0.721922 + 0.486266i
\(34\) −1.21972 1.21972i −0.209179 0.209179i
\(35\) 0.987774 3.04090i 0.166964 0.514006i
\(36\) 2.97134 0.413691i 0.495223 0.0689485i
\(37\) 1.48535 5.54340i 0.244190 0.911329i −0.729599 0.683875i \(-0.760293\pi\)
0.973789 0.227454i \(-0.0730401\pi\)
\(38\) 0.837210 1.45009i 0.135813 0.235236i
\(39\) 5.17731 + 3.49219i 0.829034 + 0.559199i
\(40\) 0.604234 + 1.04656i 0.0955378 + 0.165476i
\(41\) −6.58465 6.58465i −1.02835 1.02835i −0.999586 0.0287627i \(-0.990843\pi\)
−0.0287627 0.999586i \(-0.509157\pi\)
\(42\) 4.58192 0.0773975i 0.707006 0.0119427i
\(43\) 1.13682i 0.173363i 0.996236 + 0.0866817i \(0.0276263\pi\)
−0.996236 + 0.0866817i \(0.972374\pi\)
\(44\) 0.747171 2.78848i 0.112640 0.420379i
\(45\) 1.41226 + 3.33902i 0.210527 + 0.497752i
\(46\) −0.753638 + 0.201937i −0.111118 + 0.0297740i
\(47\) 5.05198 + 1.35367i 0.736907 + 0.197454i 0.607703 0.794164i \(-0.292091\pi\)
0.129204 + 0.991618i \(0.458758\pi\)
\(48\) −1.13717 + 1.30646i −0.164136 + 0.188572i
\(49\) 6.96177 + 0.730567i 0.994539 + 0.104367i
\(50\) 2.50288 2.50288i 0.353961 0.353961i
\(51\) 2.93242 + 0.571966i 0.410621 + 0.0800912i
\(52\) −3.57840 + 0.441687i −0.496234 + 0.0612509i
\(53\) −6.11599 3.53107i −0.840096 0.485030i 0.0172006 0.999852i \(-0.494525\pi\)
−0.857297 + 0.514822i \(0.827858\pi\)
\(54\) −3.86821 + 3.46943i −0.526396 + 0.472130i
\(55\) 3.48866 0.470411
\(56\) −1.96603 + 1.77051i −0.262722 + 0.236595i
\(57\) 0.200442 + 2.89324i 0.0265492 + 0.383220i
\(58\) −1.93887 0.519517i −0.254585 0.0682160i
\(59\) 2.89190 + 10.7927i 0.376494 + 1.40509i 0.851150 + 0.524922i \(0.175906\pi\)
−0.474657 + 0.880171i \(0.657428\pi\)
\(60\) −1.88070 0.918779i −0.242797 0.118614i
\(61\) 3.35860 + 5.81726i 0.430024 + 0.744824i 0.996875 0.0789968i \(-0.0251717\pi\)
−0.566851 + 0.823821i \(0.691838\pi\)
\(62\) 9.91868 1.25967
\(63\) −6.50731 + 4.54477i −0.819844 + 0.572587i
\(64\) 1.00000i 0.125000i
\(65\) −1.63481 4.03888i −0.202773 0.500961i
\(66\) 1.62485 + 4.72880i 0.200005 + 0.582075i
\(67\) −2.36834 8.83876i −0.289339 1.07983i −0.945610 0.325302i \(-0.894534\pi\)
0.656272 0.754525i \(-0.272133\pi\)
\(68\) −1.49384 + 0.862469i −0.181155 + 0.104590i
\(69\) 0.887247 1.01933i 0.106812 0.122713i
\(70\) −2.68163 1.74116i −0.320516 0.208108i
\(71\) −1.22914 1.22914i −0.145872 0.145872i 0.630399 0.776271i \(-0.282891\pi\)
−0.776271 + 0.630399i \(0.782891\pi\)
\(72\) 0.369444 2.97716i 0.0435394 0.350862i
\(73\) −13.7267 + 3.67807i −1.60659 + 0.430486i −0.947025 0.321159i \(-0.895928\pi\)
−0.659569 + 0.751644i \(0.729261\pi\)
\(74\) −4.97008 2.86947i −0.577760 0.333570i
\(75\) −1.17368 + 6.01738i −0.135525 + 0.694827i
\(76\) −1.18399 1.18399i −0.135813 0.135813i
\(77\) 1.58861 + 7.47084i 0.181039 + 0.851382i
\(78\) 4.71319 4.09705i 0.533664 0.463900i
\(79\) −8.54758 14.8048i −0.961678 1.66568i −0.718287 0.695747i \(-0.755073\pi\)
−0.243392 0.969928i \(-0.578260\pi\)
\(80\) 1.16729 0.312774i 0.130507 0.0349692i
\(81\) 2.19979 8.72702i 0.244422 0.969669i
\(82\) −8.06451 + 4.65605i −0.890576 + 0.514174i
\(83\) −10.4799 10.4799i −1.15032 1.15032i −0.986488 0.163832i \(-0.947615\pi\)
−0.163832 0.986488i \(-0.552385\pi\)
\(84\) 1.11113 4.44583i 0.121234 0.485080i
\(85\) −1.47399 1.47399i −0.159876 0.159876i
\(86\) 1.09808 + 0.294231i 0.118409 + 0.0317277i
\(87\) 3.28799 1.12978i 0.352510 0.121125i
\(88\) −2.50008 1.44342i −0.266510 0.153869i
\(89\) −17.6614 4.73235i −1.87210 0.501628i −0.999923 0.0124440i \(-0.996039\pi\)
−0.872180 0.489184i \(-0.837294\pi\)
\(90\) 3.59077 0.499932i 0.378500 0.0526975i
\(91\) 7.90468 5.34004i 0.828636 0.559788i
\(92\) 0.780224i 0.0813439i
\(93\) −14.2488 + 9.59757i −1.47753 + 0.995221i
\(94\) 2.61510 4.52948i 0.269727 0.467181i
\(95\) 1.01174 1.75239i 0.103802 0.179791i
\(96\) 0.967625 + 1.43656i 0.0987578 + 0.146618i
\(97\) −5.27070 + 5.27070i −0.535158 + 0.535158i −0.922103 0.386945i \(-0.873530\pi\)
0.386945 + 0.922103i \(0.373530\pi\)
\(98\) 2.50751 6.53547i 0.253297 0.660182i
\(99\) −6.90989 5.22095i −0.694471 0.524725i
\(100\) −1.76980 3.06539i −0.176980 0.306539i
\(101\) −5.09473 + 8.82433i −0.506944 + 0.878053i 0.493023 + 0.870016i \(0.335892\pi\)
−0.999968 + 0.00803723i \(0.997442\pi\)
\(102\) 1.31144 2.68447i 0.129852 0.265802i
\(103\) −1.78167 + 1.02865i −0.175554 + 0.101356i −0.585202 0.810888i \(-0.698985\pi\)
0.409648 + 0.912244i \(0.365651\pi\)
\(104\) −0.499520 + 3.57078i −0.0489820 + 0.350144i
\(105\) 5.53711 0.0935324i 0.540366 0.00912783i
\(106\) −4.99369 + 4.99369i −0.485030 + 0.485030i
\(107\) −0.834631 + 0.481874i −0.0806868 + 0.0465845i −0.539801 0.841793i \(-0.681500\pi\)
0.459114 + 0.888377i \(0.348167\pi\)
\(108\) 2.35005 + 4.63436i 0.226134 + 0.445941i
\(109\) 1.71858 + 6.41384i 0.164610 + 0.614334i 0.998090 + 0.0617835i \(0.0196788\pi\)
−0.833479 + 0.552551i \(0.813654\pi\)
\(110\) 0.902932 3.36979i 0.0860912 0.321297i
\(111\) 9.91638 0.687001i 0.941221 0.0652073i
\(112\) 1.20134 + 2.35728i 0.113516 + 0.222742i
\(113\) 5.37855i 0.505972i 0.967470 + 0.252986i \(0.0814126\pi\)
−0.967470 + 0.252986i \(0.918587\pi\)
\(114\) 2.84654 + 0.555214i 0.266603 + 0.0520006i
\(115\) −0.910748 + 0.244034i −0.0849276 + 0.0227563i
\(116\) −1.00363 + 1.73834i −0.0931847 + 0.161401i
\(117\) −2.80636 + 10.4463i −0.259448 + 0.965757i
\(118\) 11.1734 1.02860
\(119\) 2.48529 3.82769i 0.227826 0.350884i
\(120\) −1.37423 + 1.57882i −0.125450 + 0.144126i
\(121\) 2.30892 1.33306i 0.209902 0.121187i
\(122\) 6.48831 1.73854i 0.587424 0.157400i
\(123\) 7.07984 14.4921i 0.638367 1.30671i
\(124\) 2.56714 9.58071i 0.230536 0.860373i
\(125\) 7.29723 7.29723i 0.652684 0.652684i
\(126\) 2.70569 + 7.46185i 0.241042 + 0.664754i
\(127\) 2.94342i 0.261186i 0.991436 + 0.130593i \(0.0416882\pi\)
−0.991436 + 0.130593i \(0.958312\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) −1.86217 + 0.639854i −0.163955 + 0.0563360i
\(130\) −4.32438 + 0.533764i −0.379273 + 0.0468142i
\(131\) −6.63315 + 3.82965i −0.579541 + 0.334598i −0.760951 0.648810i \(-0.775267\pi\)
0.181410 + 0.983408i \(0.441934\pi\)
\(132\) 4.98821 0.345580i 0.434168 0.0300789i
\(133\) 4.21338 + 1.36863i 0.365347 + 0.118676i
\(134\) −9.15056 −0.790488
\(135\) −4.67460 + 4.19270i −0.402326 + 0.360850i
\(136\) 0.446447 + 1.66616i 0.0382825 + 0.142872i
\(137\) −4.24793 15.8535i −0.362925 1.35445i −0.870212 0.492678i \(-0.836018\pi\)
0.507287 0.861777i \(-0.330648\pi\)
\(138\) −0.754964 1.12084i −0.0642668 0.0954120i
\(139\) 4.84771 0.411177 0.205589 0.978638i \(-0.434089\pi\)
0.205589 + 0.978638i \(0.434089\pi\)
\(140\) −2.37589 + 2.13961i −0.200799 + 0.180830i
\(141\) 0.626100 + 9.03731i 0.0527271 + 0.761078i
\(142\) −1.50538 + 0.869133i −0.126329 + 0.0729360i
\(143\) 8.20623 + 6.40299i 0.686239 + 0.535445i
\(144\) −2.78010 1.12740i −0.231675 0.0939502i
\(145\) −2.34306 0.627820i −0.194580 0.0521376i
\(146\) 14.2110i 1.17611i
\(147\) 2.72170 + 11.8149i 0.224482 + 0.974478i
\(148\) −4.05805 + 4.05805i −0.333570 + 0.333570i
\(149\) −3.33479 + 12.4456i −0.273197 + 1.01959i 0.683843 + 0.729629i \(0.260307\pi\)
−0.957040 + 0.289956i \(0.906359\pi\)
\(150\) 5.50857 + 2.69111i 0.449773 + 0.219728i
\(151\) −8.59783 + 2.30378i −0.699681 + 0.187479i −0.591088 0.806607i \(-0.701301\pi\)
−0.108593 + 0.994086i \(0.534635\pi\)
\(152\) −1.45009 + 0.837210i −0.117618 + 0.0679067i
\(153\) 0.713592 + 5.12538i 0.0576905 + 0.414362i
\(154\) 7.62745 + 0.399116i 0.614637 + 0.0321617i
\(155\) 11.9864 0.962771
\(156\) −2.73759 5.61299i −0.219182 0.449399i
\(157\) −1.50693 + 2.61009i −0.120266 + 0.208308i −0.919873 0.392217i \(-0.871708\pi\)
0.799606 + 0.600525i \(0.205042\pi\)
\(158\) −16.5127 + 4.42455i −1.31368 + 0.351999i
\(159\) 2.34171 12.0057i 0.185710 0.952117i
\(160\) 1.20847i 0.0955378i
\(161\) −0.937312 1.83921i −0.0738705 0.144950i
\(162\) −7.86031 4.38356i −0.617564 0.344405i
\(163\) 3.69556 13.7920i 0.289458 1.08027i −0.656061 0.754708i \(-0.727779\pi\)
0.945520 0.325565i \(-0.105555\pi\)
\(164\) 2.41015 + 8.99479i 0.188201 + 0.702375i
\(165\) 1.96358 + 5.71460i 0.152864 + 0.444881i
\(166\) −12.8352 + 7.41042i −0.996206 + 0.575160i
\(167\) −5.08436 + 5.08436i −0.393439 + 0.393439i −0.875911 0.482472i \(-0.839739\pi\)
0.482472 + 0.875911i \(0.339739\pi\)
\(168\) −4.00676 2.22393i −0.309128 0.171580i
\(169\) 3.56736 12.5010i 0.274412 0.961612i
\(170\) −1.80526 + 1.04227i −0.138457 + 0.0799382i
\(171\) −4.62646 + 1.95678i −0.353794 + 0.149639i
\(172\) 0.568410 0.984515i 0.0433409 0.0750686i
\(173\) −1.62327 2.81158i −0.123415 0.213761i 0.797697 0.603058i \(-0.206051\pi\)
−0.921112 + 0.389297i \(0.872718\pi\)
\(174\) −0.240286 3.46836i −0.0182161 0.262936i
\(175\) 7.85449 + 5.09986i 0.593744 + 0.385513i
\(176\) −2.04131 + 2.04131i −0.153869 + 0.153869i
\(177\) −16.0513 + 10.8117i −1.20649 + 0.812658i
\(178\) −9.14220 + 15.8348i −0.685237 + 1.18687i
\(179\) −1.80546 + 3.12715i −0.134947 + 0.233734i −0.925577 0.378559i \(-0.876420\pi\)
0.790630 + 0.612294i \(0.209753\pi\)
\(180\) 0.446462 3.59781i 0.0332773 0.268165i
\(181\) 1.27109i 0.0944794i 0.998884 + 0.0472397i \(0.0150425\pi\)
−0.998884 + 0.0472397i \(0.984958\pi\)
\(182\) −3.11220 9.01744i −0.230692 0.668417i
\(183\) −7.63859 + 8.77576i −0.564661 + 0.648723i
\(184\) 0.753638 + 0.201937i 0.0555589 + 0.0148870i
\(185\) −6.00618 3.46767i −0.441583 0.254948i
\(186\) 5.58268 + 16.2473i 0.409342 + 1.19131i
\(187\) 4.80996 + 1.28882i 0.351739 + 0.0942481i
\(188\) −3.69831 3.69831i −0.269727 0.269727i
\(189\) −11.1072 8.10129i −0.807927 0.589282i
\(190\) −1.43082 1.43082i −0.103802 0.103802i
\(191\) 19.4395 11.2234i 1.40660 0.812099i 0.411538 0.911393i \(-0.364992\pi\)
0.995058 + 0.0992938i \(0.0316584\pi\)
\(192\) 1.63805 0.562845i 0.118216 0.0406199i
\(193\) 4.74813 1.27226i 0.341778 0.0915791i −0.0838474 0.996479i \(-0.526721\pi\)
0.425625 + 0.904899i \(0.360054\pi\)
\(194\) 3.72694 + 6.45526i 0.267579 + 0.463461i
\(195\) 5.69574 4.95116i 0.407880 0.354560i
\(196\) −5.66379 4.11358i −0.404556 0.293827i
\(197\) 9.36577 + 9.36577i 0.667283 + 0.667283i 0.957086 0.289803i \(-0.0935898\pi\)
−0.289803 + 0.957086i \(0.593590\pi\)
\(198\) −6.83146 + 5.32316i −0.485491 + 0.378301i
\(199\) −3.56991 2.06109i −0.253064 0.146107i 0.368102 0.929785i \(-0.380008\pi\)
−0.621166 + 0.783679i \(0.713341\pi\)
\(200\) −3.41900 + 0.916117i −0.241760 + 0.0647793i
\(201\) 13.1453 8.85431i 0.927199 0.624535i
\(202\) 7.20503 + 7.20503i 0.506944 + 0.506944i
\(203\) 0.277510 5.30346i 0.0194774 0.372230i
\(204\) −2.25357 1.96155i −0.157781 0.137336i
\(205\) −9.74570 + 5.62668i −0.680669 + 0.392985i
\(206\) 0.532468 + 1.98720i 0.0370988 + 0.138455i
\(207\) 2.16910 + 0.879626i 0.150763 + 0.0611383i
\(208\) 3.31982 + 1.40669i 0.230188 + 0.0975361i
\(209\) 4.83379i 0.334360i
\(210\) 1.34276 5.37264i 0.0926594 0.370747i
\(211\) −9.13455 −0.628848 −0.314424 0.949283i \(-0.601811\pi\)
−0.314424 + 0.949283i \(0.601811\pi\)
\(212\) 3.53107 + 6.11599i 0.242515 + 0.420048i
\(213\) 1.32158 2.70521i 0.0905529 0.185358i
\(214\) 0.249436 + 0.930909i 0.0170511 + 0.0636357i
\(215\) 1.32700 + 0.355568i 0.0905006 + 0.0242496i
\(216\) 5.08468 1.07052i 0.345969 0.0728393i
\(217\) 5.45818 + 25.6685i 0.370525 + 1.74249i
\(218\) 6.64010 0.449724
\(219\) −13.7509 20.4149i −0.929200 1.37951i
\(220\) −3.02127 1.74433i −0.203694 0.117603i
\(221\) −0.761882 6.17251i −0.0512497 0.415208i
\(222\) 1.90296 9.75630i 0.127718 0.654800i
\(223\) −7.70896 + 7.70896i −0.516230 + 0.516230i −0.916429 0.400198i \(-0.868941\pi\)
0.400198 + 0.916429i \(0.368941\pi\)
\(224\) 2.58789 0.550293i 0.172911 0.0367680i
\(225\) −10.5174 + 1.46430i −0.701158 + 0.0976202i
\(226\) 5.19528 + 1.39207i 0.345585 + 0.0925992i
\(227\) 22.9270 6.14327i 1.52172 0.407743i 0.601411 0.798940i \(-0.294606\pi\)
0.920307 + 0.391197i \(0.127939\pi\)
\(228\) 1.27303 2.60584i 0.0843087 0.172576i
\(229\) 3.17239 11.8395i 0.209637 0.782378i −0.778348 0.627833i \(-0.783942\pi\)
0.987986 0.154545i \(-0.0493911\pi\)
\(230\) 0.942875i 0.0621714i
\(231\) −11.3435 + 6.80715i −0.746345 + 0.447878i
\(232\) 1.41935 + 1.41935i 0.0931847 + 0.0931847i
\(233\) 5.07070 + 8.78270i 0.332192 + 0.575374i 0.982941 0.183919i \(-0.0588784\pi\)
−0.650749 + 0.759293i \(0.725545\pi\)
\(234\) 9.36397 + 5.41443i 0.612142 + 0.353952i
\(235\) 3.16026 5.47374i 0.206153 0.357067i
\(236\) 2.89190 10.7927i 0.188247 0.702546i
\(237\) 19.4401 22.3342i 1.26277 1.45076i
\(238\) −3.05403 3.39128i −0.197963 0.219824i
\(239\) −8.85790 8.85790i −0.572970 0.572970i 0.359987 0.932957i \(-0.382781\pi\)
−0.932957 + 0.359987i \(0.882781\pi\)
\(240\) 1.16934 + 1.73604i 0.0754808 + 0.112061i
\(241\) −1.15400 + 0.309213i −0.0743356 + 0.0199182i −0.295795 0.955251i \(-0.595585\pi\)
0.221460 + 0.975170i \(0.428918\pi\)
\(242\) −0.690041 2.57527i −0.0443575 0.165544i
\(243\) 15.5334 1.30859i 0.996470 0.0839463i
\(244\) 6.71719i 0.430024i
\(245\) 3.03025 7.89791i 0.193595 0.504579i
\(246\) −12.1659 10.5894i −0.775670 0.675157i
\(247\) 5.59616 2.26514i 0.356075 0.144128i
\(248\) −8.58983 4.95934i −0.545455 0.314918i
\(249\) 11.2680 23.0652i 0.714083 1.46170i
\(250\) −5.15992 8.93724i −0.326342 0.565241i
\(251\) 18.1252 1.14405 0.572026 0.820235i \(-0.306158\pi\)
0.572026 + 0.820235i \(0.306158\pi\)
\(252\) 7.90788 0.682231i 0.498150 0.0429765i
\(253\) 1.59268 1.59268i 0.100131 0.100131i
\(254\) 2.84313 + 0.761813i 0.178394 + 0.0478004i
\(255\) 1.58484 3.24409i 0.0992463 0.203153i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 3.52493 + 6.10536i 0.219879 + 0.380842i 0.954771 0.297343i \(-0.0961004\pi\)
−0.734892 + 0.678184i \(0.762767\pi\)
\(258\) 0.136087 + 1.96432i 0.00847242 + 0.122293i
\(259\) 4.69089 14.4411i 0.291478 0.897324i
\(260\) −0.603654 + 4.31517i −0.0374370 + 0.267616i
\(261\) 3.70126 + 4.75000i 0.229102 + 0.294018i
\(262\) 1.98237 + 7.39831i 0.122471 + 0.457069i
\(263\) 11.5373 + 6.66106i 0.711420 + 0.410739i 0.811587 0.584232i \(-0.198604\pi\)
−0.100167 + 0.994971i \(0.531938\pi\)
\(264\) 0.957239 4.90768i 0.0589140 0.302047i
\(265\) −6.03471 + 6.03471i −0.370709 + 0.370709i
\(266\) 2.41250 3.71559i 0.147920 0.227817i
\(267\) −2.18880 31.5938i −0.133952 1.93351i
\(268\) −2.36834 + 8.83876i −0.144669 + 0.539913i
\(269\) 22.2427 + 12.8418i 1.35616 + 0.782981i 0.989104 0.147217i \(-0.0470317\pi\)
0.367058 + 0.930198i \(0.380365\pi\)
\(270\) 2.83996 + 5.60047i 0.172835 + 0.340834i
\(271\) 2.40400 8.97185i 0.146033 0.545001i −0.853675 0.520807i \(-0.825631\pi\)
0.999707 0.0241945i \(-0.00770209\pi\)
\(272\) 1.72494 0.104590
\(273\) 13.1964 + 9.94264i 0.798680 + 0.601756i
\(274\) −16.4127 −0.991530
\(275\) −2.64469 + 9.87012i −0.159481 + 0.595191i
\(276\) −1.27804 + 0.439145i −0.0769293 + 0.0264334i
\(277\) −2.90498 1.67719i −0.174544 0.100773i 0.410183 0.912003i \(-0.365465\pi\)
−0.584727 + 0.811230i \(0.698798\pi\)
\(278\) 1.25468 4.68253i 0.0752507 0.280839i
\(279\) −23.7411 17.9382i −1.42134 1.07393i
\(280\) 1.45178 + 2.84870i 0.0867603 + 0.170242i
\(281\) −7.93559 + 7.93559i −0.473398 + 0.473398i −0.903012 0.429615i \(-0.858649\pi\)
0.429615 + 0.903012i \(0.358649\pi\)
\(282\) 8.89141 + 1.73426i 0.529476 + 0.103274i
\(283\) −22.7662 13.1441i −1.35331 0.781335i −0.364600 0.931164i \(-0.618794\pi\)
−0.988712 + 0.149829i \(0.952128\pi\)
\(284\) 0.449896 + 1.67904i 0.0266964 + 0.0996325i
\(285\) 3.43995 + 0.670959i 0.203765 + 0.0397442i
\(286\) 8.30874 6.26939i 0.491306 0.370717i
\(287\) −16.4872 18.3079i −0.973208 1.08068i
\(288\) −1.80853 + 2.39358i −0.106569 + 0.141043i
\(289\) 7.01229 + 12.1456i 0.412488 + 0.714450i
\(290\) −1.21286 + 2.10073i −0.0712213 + 0.123359i
\(291\) −11.6002 5.66707i −0.680018 0.332210i
\(292\) 13.7267 + 3.67807i 0.803297 + 0.215243i
\(293\) −9.47722 + 9.47722i −0.553665 + 0.553665i −0.927497 0.373832i \(-0.878044\pi\)
0.373832 + 0.927497i \(0.378044\pi\)
\(294\) 12.1168 + 0.428970i 0.706664 + 0.0250181i
\(295\) 13.5028 0.786161
\(296\) 2.86947 + 4.97008i 0.166785 + 0.288880i
\(297\) 4.66297 14.2573i 0.270573 0.827295i
\(298\) 11.1584 + 6.44233i 0.646391 + 0.373194i
\(299\) −2.59021 1.09753i −0.149795 0.0634718i
\(300\) 4.02513 4.62436i 0.232391 0.266988i
\(301\) −0.157169 + 3.00363i −0.00905907 + 0.173127i
\(302\) 8.90113i 0.512202i
\(303\) −17.3222 3.37868i −0.995136 0.194100i
\(304\) 0.433372 + 1.61736i 0.0248556 + 0.0927622i
\(305\) 7.84091 2.10097i 0.448969 0.120301i
\(306\) 5.13543 + 0.637269i 0.293573 + 0.0364302i
\(307\) 15.6052 + 15.6052i 0.890634 + 0.890634i 0.994583 0.103949i \(-0.0331479\pi\)
−0.103949 + 0.994583i \(0.533148\pi\)
\(308\) 2.35964 7.26425i 0.134453 0.413919i
\(309\) −2.68779 2.33950i −0.152903 0.133089i
\(310\) 3.10231 11.5780i 0.176199 0.657585i
\(311\) 4.02563 6.97260i 0.228273 0.395380i −0.729024 0.684488i \(-0.760026\pi\)
0.957296 + 0.289109i \(0.0933589\pi\)
\(312\) −6.13027 + 1.19156i −0.347058 + 0.0674587i
\(313\) −7.01760 12.1548i −0.396658 0.687032i 0.596653 0.802499i \(-0.296497\pi\)
−0.993311 + 0.115467i \(0.963164\pi\)
\(314\) 2.13113 + 2.13113i 0.120266 + 0.120266i
\(315\) 3.26974 + 9.01741i 0.184229 + 0.508073i
\(316\) 17.0952i 0.961678i
\(317\) 8.44152 31.5042i 0.474123 1.76945i −0.150589 0.988597i \(-0.548117\pi\)
0.624712 0.780855i \(-0.285216\pi\)
\(318\) −10.9906 5.36923i −0.616321 0.301092i
\(319\) 5.59721 1.49977i 0.313383 0.0839708i
\(320\) −1.16729 0.312774i −0.0652535 0.0174846i
\(321\) −1.25910 1.09595i −0.0702762 0.0611697i
\(322\) −2.01913 + 0.429352i −0.112522 + 0.0239268i
\(323\) 2.04232 2.04232i 0.113637 0.113637i
\(324\) −6.26859 + 6.45793i −0.348255 + 0.358774i
\(325\) 12.6661 1.56340i 0.702589 0.0867216i
\(326\) −12.3656 7.13927i −0.684866 0.395407i
\(327\) −9.53889 + 6.42512i −0.527502 + 0.355310i
\(328\) 9.31210 0.514174
\(329\) 13.1609 + 4.27505i 0.725583 + 0.235691i
\(330\) 6.02809 0.417623i 0.331835 0.0229894i
\(331\) 21.1625 + 5.67046i 1.16319 + 0.311677i 0.788241 0.615367i \(-0.210992\pi\)
0.374953 + 0.927044i \(0.377659\pi\)
\(332\) 3.83591 + 14.3158i 0.210523 + 0.785683i
\(333\) 6.70673 + 15.8568i 0.367527 + 0.868950i
\(334\) 3.59518 + 6.22704i 0.196720 + 0.340728i
\(335\) −11.0582 −0.604171
\(336\) −3.18518 + 3.29464i −0.173766 + 0.179737i
\(337\) 6.02326i 0.328108i 0.986451 + 0.164054i \(0.0524571\pi\)
−0.986451 + 0.164054i \(0.947543\pi\)
\(338\) −11.1517 6.68129i −0.606572 0.363414i
\(339\) −8.81033 + 3.02729i −0.478512 + 0.164420i
\(340\) 0.539517 + 2.01350i 0.0292594 + 0.109198i
\(341\) −24.7975 + 14.3169i −1.34286 + 0.775301i
\(342\) 0.692692 + 4.97527i 0.0374565 + 0.269032i
\(343\) 18.2930 + 2.89275i 0.987726 + 0.156194i
\(344\) −0.803853 0.803853i −0.0433409 0.0433409i
\(345\) −0.912350 1.35450i −0.0491193 0.0729236i
\(346\) −3.13591 + 0.840266i −0.168588 + 0.0451730i
\(347\) 9.03747 + 5.21778i 0.485157 + 0.280105i 0.722563 0.691305i \(-0.242964\pi\)
−0.237406 + 0.971410i \(0.576297\pi\)
\(348\) −3.41237 0.665580i −0.182922 0.0356788i
\(349\) −22.0921 22.0921i −1.18256 1.18256i −0.979079 0.203483i \(-0.934774\pi\)
−0.203483 0.979079i \(-0.565226\pi\)
\(350\) 6.95898 6.26692i 0.371973 0.334981i
\(351\) −18.6910 + 1.28267i −0.997654 + 0.0684641i
\(352\) 1.44342 + 2.50008i 0.0769347 + 0.133255i
\(353\) 22.7362 6.09214i 1.21012 0.324252i 0.403314 0.915062i \(-0.367858\pi\)
0.806811 + 0.590810i \(0.201192\pi\)
\(354\) 6.28892 + 18.3027i 0.334253 + 0.972775i
\(355\) −1.81921 + 1.05032i −0.0965535 + 0.0557452i
\(356\) 12.9290 + 12.9290i 0.685237 + 0.685237i
\(357\) 7.66878 + 1.91663i 0.405875 + 0.101439i
\(358\) 2.55331 + 2.55331i 0.134947 + 0.134947i
\(359\) −20.4090 5.46856i −1.07714 0.288620i −0.323719 0.946153i \(-0.604933\pi\)
−0.753425 + 0.657534i \(0.771600\pi\)
\(360\) −3.35966 1.36243i −0.177070 0.0718064i
\(361\) −14.0264 8.09816i −0.738233 0.426219i
\(362\) 1.22778 + 0.328982i 0.0645307 + 0.0172909i
\(363\) 3.48318 + 3.03182i 0.182819 + 0.159129i
\(364\) −9.51567 + 0.672272i −0.498757 + 0.0352366i
\(365\) 17.1735i 0.898902i
\(366\) 6.49972 + 9.64964i 0.339746 + 0.504395i
\(367\) −1.86728 + 3.23423i −0.0974714 + 0.168825i −0.910637 0.413206i \(-0.864409\pi\)
0.813166 + 0.582032i \(0.197742\pi\)
\(368\) 0.390112 0.675694i 0.0203360 0.0352230i
\(369\) 27.7236 + 3.44030i 1.44324 + 0.179095i
\(370\) −4.90402 + 4.90402i −0.254948 + 0.254948i
\(371\) −15.6711 10.1751i −0.813603 0.528266i
\(372\) 17.1386 1.18735i 0.888594 0.0615613i
\(373\) −6.11181 10.5860i −0.316458 0.548121i 0.663289 0.748364i \(-0.269160\pi\)
−0.979746 + 0.200243i \(0.935827\pi\)
\(374\) 2.48982 4.31249i 0.128745 0.222994i
\(375\) 16.0604 + 7.84601i 0.829357 + 0.405166i
\(376\) −4.52948 + 2.61510i −0.233590 + 0.134863i
\(377\) −4.35919 5.77717i −0.224510 0.297540i
\(378\) −10.7000 + 8.63193i −0.550348 + 0.443979i
\(379\) 6.48470 6.48470i 0.333097 0.333097i −0.520665 0.853761i \(-0.674316\pi\)
0.853761 + 0.520665i \(0.174316\pi\)
\(380\) −1.75239 + 1.01174i −0.0898955 + 0.0519012i
\(381\) −4.82147 + 1.65669i −0.247011 + 0.0848748i
\(382\) −5.80967 21.6820i −0.297249 1.10935i
\(383\) −3.17769 + 11.8593i −0.162372 + 0.605982i 0.835988 + 0.548747i \(0.184895\pi\)
−0.998361 + 0.0572350i \(0.981772\pi\)
\(384\) −0.119709 1.72791i −0.00610885 0.0881770i
\(385\) 9.21752 + 0.482318i 0.469768 + 0.0245812i
\(386\) 4.91563i 0.250199i
\(387\) −2.09623 2.69018i −0.106557 0.136750i
\(388\) 7.19990 1.92921i 0.365520 0.0979407i
\(389\) 2.76582 4.79054i 0.140233 0.242890i −0.787352 0.616504i \(-0.788548\pi\)
0.927584 + 0.373614i \(0.121882\pi\)
\(390\) −3.30829 6.78311i −0.167522 0.343476i
\(391\) −1.34584 −0.0680619
\(392\) −5.43931 + 4.40613i −0.274726 + 0.222543i
\(393\) −10.0066 8.70992i −0.504766 0.439357i
\(394\) 11.4707 6.62260i 0.577884 0.333642i
\(395\) −19.9550 + 5.34693i −1.00405 + 0.269033i
\(396\) 3.37367 + 7.97642i 0.169533 + 0.400830i
\(397\) −6.66796 + 24.8852i −0.334656 + 1.24895i 0.569587 + 0.821931i \(0.307103\pi\)
−0.904242 + 0.427020i \(0.859563\pi\)
\(398\) −2.91482 + 2.91482i −0.146107 + 0.146107i
\(399\) 0.129596 + 7.67206i 0.00648791 + 0.384083i
\(400\) 3.53961i 0.176980i
\(401\) −7.65239 2.05045i −0.382142 0.102395i 0.0626338 0.998037i \(-0.480050\pi\)
−0.444776 + 0.895642i \(0.646717\pi\)
\(402\) −5.15035 14.9891i −0.256876 0.747586i
\(403\) 28.1951 + 21.9995i 1.40450 + 1.09587i
\(404\) 8.82433 5.09473i 0.439027 0.253472i
\(405\) −9.49893 5.29739i −0.472006 0.263229i
\(406\) −5.05092 1.64069i −0.250673 0.0814261i
\(407\) 16.5675 0.821219
\(408\) −2.47798 + 1.66909i −0.122678 + 0.0826325i
\(409\) 4.28035 + 15.9745i 0.211650 + 0.789888i 0.987319 + 0.158748i \(0.0507458\pi\)
−0.775669 + 0.631140i \(0.782588\pi\)
\(410\) 2.91259 + 10.8699i 0.143842 + 0.536827i
\(411\) 23.5779 15.8814i 1.16301 0.783371i
\(412\) 2.05730 0.101356
\(413\) 6.14867 + 28.9157i 0.302556 + 1.42285i
\(414\) 1.41106 1.86753i 0.0693497 0.0917839i
\(415\) −15.5109 + 8.95525i −0.761403 + 0.439596i
\(416\) 2.21799 2.84263i 0.108746 0.139371i
\(417\) 2.72851 + 7.94079i 0.133616 + 0.388862i
\(418\) 4.66909 + 1.25108i 0.228372 + 0.0611922i
\(419\) 20.7271i 1.01259i 0.862362 + 0.506293i \(0.168984\pi\)
−0.862362 + 0.506293i \(0.831016\pi\)
\(420\) −4.84204 2.68755i −0.236267 0.131139i
\(421\) −12.0117 + 12.0117i −0.585415 + 0.585415i −0.936386 0.350971i \(-0.885852\pi\)
0.350971 + 0.936386i \(0.385852\pi\)
\(422\) −2.36419 + 8.82329i −0.115087 + 0.429511i
\(423\) −14.4512 + 6.11219i −0.702639 + 0.297185i
\(424\) 6.82150 1.82782i 0.331282 0.0887666i
\(425\) 5.28761 3.05280i 0.256487 0.148083i
\(426\) −2.27098 1.97670i −0.110029 0.0957716i
\(427\) 8.06962 + 15.8343i 0.390516 + 0.766277i
\(428\) 0.963748 0.0465845
\(429\) −5.86958 + 17.0461i −0.283386 + 0.822994i
\(430\) 0.686905 1.18976i 0.0331255 0.0573751i
\(431\) −27.1319 + 7.26998i −1.30690 + 0.350183i −0.844055 0.536256i \(-0.819838\pi\)
−0.462845 + 0.886439i \(0.653171\pi\)
\(432\) 0.281974 5.18850i 0.0135665 0.249632i
\(433\) 29.5456i 1.41987i −0.704267 0.709935i \(-0.748724\pi\)
0.704267 0.709935i \(-0.251276\pi\)
\(434\) 26.2065 + 1.37129i 1.25795 + 0.0658240i
\(435\) −0.290378 4.19141i −0.0139226 0.200963i
\(436\) 1.71858 6.41384i 0.0823052 0.307167i
\(437\) −0.338127 1.26191i −0.0161748 0.0603652i
\(438\) −23.2783 + 7.99858i −1.11228 + 0.382187i
\(439\) −7.46938 + 4.31245i −0.356494 + 0.205822i −0.667542 0.744572i \(-0.732653\pi\)
0.311048 + 0.950394i \(0.399320\pi\)
\(440\) −2.46686 + 2.46686i −0.117603 + 0.117603i
\(441\) −17.8215 + 11.1082i −0.848644 + 0.528964i
\(442\) −6.15938 0.861642i −0.292972 0.0409841i
\(443\) 24.3010 14.0302i 1.15458 0.666595i 0.204578 0.978850i \(-0.434418\pi\)
0.949998 + 0.312255i \(0.101084\pi\)
\(444\) −8.93134 4.36323i −0.423863 0.207070i
\(445\) −11.0481 + 19.1358i −0.523728 + 0.907124i
\(446\) 5.45106 + 9.44151i 0.258115 + 0.447069i
\(447\) −22.2635 + 1.54240i −1.05303 + 0.0729532i
\(448\) 0.138253 2.64214i 0.00653185 0.124829i
\(449\) −26.7978 + 26.7978i −1.26467 + 1.26467i −0.315859 + 0.948806i \(0.602293\pi\)
−0.948806 + 0.315859i \(0.897707\pi\)
\(450\) −1.30769 + 10.5380i −0.0616450 + 0.496766i
\(451\) 13.4413 23.2810i 0.632926 1.09626i
\(452\) 2.68928 4.65796i 0.126493 0.219092i
\(453\) −8.61295 12.7870i −0.404672 0.600785i
\(454\) 23.7358i 1.11397i
\(455\) −3.76100 10.8973i −0.176318 0.510873i
\(456\) −2.18757 1.90410i −0.102442 0.0891676i
\(457\) −33.8891 9.08056i −1.58527 0.424771i −0.644714 0.764424i \(-0.723024\pi\)
−0.940551 + 0.339653i \(0.889690\pi\)
\(458\) −10.6150 6.12859i −0.496008 0.286370i
\(459\) −7.99398 + 4.05369i −0.373127 + 0.189210i
\(460\) 0.910748 + 0.244034i 0.0424638 + 0.0113781i
\(461\) 9.40397 + 9.40397i 0.437986 + 0.437986i 0.891334 0.453347i \(-0.149770\pi\)
−0.453347 + 0.891334i \(0.649770\pi\)
\(462\) 3.63930 + 12.7188i 0.169316 + 0.591731i
\(463\) 15.0035 + 15.0035i 0.697273 + 0.697273i 0.963822 0.266548i \(-0.0858831\pi\)
−0.266548 + 0.963822i \(0.585883\pi\)
\(464\) 1.73834 1.00363i 0.0807004 0.0465924i
\(465\) 6.74649 + 19.6343i 0.312861 + 0.910520i
\(466\) 9.79583 2.62479i 0.453783 0.121591i
\(467\) 11.5684 + 20.0371i 0.535322 + 0.927204i 0.999148 + 0.0412780i \(0.0131429\pi\)
−0.463826 + 0.885926i \(0.653524\pi\)
\(468\) 7.65351 7.64355i 0.353784 0.353323i
\(469\) −5.03549 23.6806i −0.232517 1.09347i
\(470\) −4.46929 4.46929i −0.206153 0.206153i
\(471\) −5.12362 0.999357i −0.236084 0.0460480i
\(472\) −9.67649 5.58672i −0.445397 0.257150i
\(473\) −3.17000 + 0.849399i −0.145757 + 0.0390554i
\(474\) −16.5417 24.5582i −0.759786 1.12800i
\(475\) 4.19087 + 4.19087i 0.192290 + 0.192290i
\(476\) −4.06617 + 2.07223i −0.186373 + 0.0949807i
\(477\) 20.9840 2.92154i 0.960792 0.133768i
\(478\) −10.8487 + 6.26348i −0.496206 + 0.286485i
\(479\) −4.12308 15.3875i −0.188388 0.703074i −0.993880 0.110467i \(-0.964765\pi\)
0.805492 0.592607i \(-0.201901\pi\)
\(480\) 1.97953 0.680181i 0.0903528 0.0310459i
\(481\) −7.76361 19.1804i −0.353990 0.874552i
\(482\) 1.19471i 0.0544174i
\(483\) 2.48515 2.57055i 0.113078 0.116964i
\(484\) −2.66611 −0.121187
\(485\) 4.50389 + 7.80097i 0.204511 + 0.354224i
\(486\) 2.75634 15.3428i 0.125030 0.695965i
\(487\) −9.28723 34.6604i −0.420844 1.57061i −0.772834 0.634609i \(-0.781161\pi\)
0.351989 0.936004i \(-0.385505\pi\)
\(488\) −6.48831 1.73854i −0.293712 0.0786999i
\(489\) 24.6720 1.70926i 1.11571 0.0772955i
\(490\) −6.84450 4.97112i −0.309203 0.224572i
\(491\) 34.2330 1.54491 0.772457 0.635067i \(-0.219027\pi\)
0.772457 + 0.635067i \(0.219027\pi\)
\(492\) −13.3774 + 9.01062i −0.603099 + 0.406230i
\(493\) −2.99853 1.73120i −0.135047 0.0779694i
\(494\) −0.739569 5.99173i −0.0332748 0.269581i
\(495\) −8.25560 + 6.43287i −0.371062 + 0.289136i
\(496\) −7.01357 + 7.01357i −0.314918 + 0.314918i
\(497\) −3.07762 3.41749i −0.138050 0.153295i
\(498\) −19.3629 16.8538i −0.867671 0.755237i
\(499\) 4.11536 + 1.10271i 0.184229 + 0.0493639i 0.349754 0.936842i \(-0.386265\pi\)
−0.165525 + 0.986206i \(0.552932\pi\)
\(500\) −9.96820 + 2.67097i −0.445791 + 0.119449i
\(501\) −11.1901 5.46672i −0.499938 0.244235i
\(502\) 4.69115 17.5076i 0.209376 0.781402i
\(503\) 28.6056i 1.27546i 0.770259 + 0.637731i \(0.220127\pi\)
−0.770259 + 0.637731i \(0.779873\pi\)
\(504\) 1.38773 7.81500i 0.0618142 0.348108i
\(505\) 8.70705 + 8.70705i 0.387459 + 0.387459i
\(506\) −1.12619 1.95062i −0.0500654 0.0867158i
\(507\) 22.4851 1.19260i 0.998596 0.0529654i
\(508\) 1.47171 2.54908i 0.0652966 0.113097i
\(509\) −9.35130 + 34.8995i −0.414489 + 1.54689i 0.371368 + 0.928486i \(0.378889\pi\)
−0.785857 + 0.618408i \(0.787778\pi\)
\(510\) −2.72336 2.37047i −0.120593 0.104966i
\(511\) −36.7764 + 7.82020i −1.62689 + 0.345945i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −5.80929 6.47700i −0.256486 0.285967i
\(514\) 6.80964 1.82464i 0.300361 0.0804814i
\(515\) 0.643471 + 2.40147i 0.0283547 + 0.105821i
\(516\) 1.93261 + 0.376954i 0.0850785 + 0.0165945i
\(517\) 15.0988i 0.664044i
\(518\) −12.7349 8.26867i −0.559540 0.363305i
\(519\) 3.69186 4.24148i 0.162055 0.186180i
\(520\) 4.01190 + 1.69993i 0.175933 + 0.0745471i
\(521\) −3.96209 2.28751i −0.173582 0.100218i 0.410692 0.911774i \(-0.365287\pi\)
−0.584274 + 0.811557i \(0.698621\pi\)
\(522\) 5.54611 2.34575i 0.242747 0.102671i
\(523\) −2.62423 4.54529i −0.114749 0.198752i 0.802930 0.596073i \(-0.203273\pi\)
−0.917680 + 0.397321i \(0.869940\pi\)
\(524\) 7.65930 0.334598
\(525\) −3.93296 + 15.7365i −0.171648 + 0.686796i
\(526\) 9.42016 9.42016i 0.410739 0.410739i
\(527\) 16.5261 + 4.42816i 0.719890 + 0.192894i
\(528\) −4.49271 2.19482i −0.195520 0.0955174i
\(529\) 11.1956 19.3914i 0.486766 0.843104i
\(530\) 4.26718 + 7.39098i 0.185355 + 0.321044i
\(531\) −26.7445 20.2075i −1.16061 0.876932i
\(532\) −2.96458 3.29196i −0.128531 0.142725i
\(533\) −33.2515 4.65158i −1.44028 0.201482i
\(534\) −31.0838 6.06286i −1.34513 0.262366i
\(535\) 0.301436 + 1.12497i 0.0130322 + 0.0486369i
\(536\) 7.92461 + 4.57528i 0.342291 + 0.197622i
\(537\) −6.13863 1.19733i −0.264901 0.0516687i
\(538\) 18.1611 18.1611i 0.782981 0.782981i
\(539\) 3.16446 + 19.9586i 0.136303 + 0.859679i
\(540\) 6.14467 1.29368i 0.264425 0.0556713i
\(541\) 0.422071 1.57519i 0.0181462 0.0677227i −0.956259 0.292521i \(-0.905506\pi\)
0.974405 + 0.224799i \(0.0721724\pi\)
\(542\) −8.04394 4.64417i −0.345517 0.199484i
\(543\) −2.08211 + 0.715428i −0.0893519 + 0.0307019i
\(544\) 0.446447 1.66616i 0.0191413 0.0714361i
\(545\) 8.02434 0.343725
\(546\) 13.0193 10.1734i 0.557175 0.435380i
\(547\) 26.5089 1.13344 0.566719 0.823911i \(-0.308213\pi\)
0.566719 + 0.823911i \(0.308213\pi\)
\(548\) −4.24793 + 15.8535i −0.181463 + 0.677227i
\(549\) −18.6745 7.57298i −0.797007 0.323207i
\(550\) 8.84931 + 5.10915i 0.377336 + 0.217855i
\(551\) 0.869890 3.24647i 0.0370586 0.138304i
\(552\) 0.0933995 + 1.34816i 0.00397535 + 0.0573813i
\(553\) −20.5371 40.2982i −0.873325 1.71365i
\(554\) −2.37191 + 2.37191i −0.100773 + 0.100773i
\(555\) 2.29966 11.7902i 0.0976152 0.500465i
\(556\) −4.19824 2.42385i −0.178045 0.102794i
\(557\) −3.74443 13.9744i −0.158656 0.592114i −0.998764 0.0496947i \(-0.984175\pi\)
0.840108 0.542419i \(-0.182491\pi\)
\(558\) −23.4717 + 18.2894i −0.993635 + 0.774253i
\(559\) 2.46884 + 3.27193i 0.104421 + 0.138388i
\(560\) 3.12738 0.665011i 0.132156 0.0281019i
\(561\) 0.596105 + 8.60435i 0.0251676 + 0.363276i
\(562\) 5.61131 + 9.71908i 0.236699 + 0.409975i
\(563\) 2.12572 3.68185i 0.0895883 0.155171i −0.817749 0.575575i \(-0.804778\pi\)
0.907337 + 0.420404i \(0.138112\pi\)
\(564\) 3.97644 8.13959i 0.167438 0.342738i
\(565\) 6.27833 + 1.68227i 0.264131 + 0.0707738i
\(566\) −18.5886 + 18.5886i −0.781335 + 0.781335i
\(567\) 7.01869 22.7539i 0.294757 0.955572i
\(568\) 1.73827 0.0729360
\(569\) 8.47421 + 14.6778i 0.355258 + 0.615324i 0.987162 0.159722i \(-0.0510598\pi\)
−0.631904 + 0.775046i \(0.717726\pi\)
\(570\) 1.53842 3.14908i 0.0644373 0.131900i
\(571\) 17.9103 + 10.3405i 0.749523 + 0.432737i 0.825521 0.564371i \(-0.190881\pi\)
−0.0759987 + 0.997108i \(0.524214\pi\)
\(572\) −3.90531 9.64827i −0.163289 0.403414i
\(573\) 29.3260 + 25.5259i 1.22511 + 1.06636i
\(574\) −21.9513 + 11.1870i −0.916228 + 0.466935i
\(575\) 2.76168i 0.115170i
\(576\) 1.84394 + 2.36641i 0.0768307 + 0.0986004i
\(577\) −4.52752 16.8969i −0.188483 0.703428i −0.993858 0.110663i \(-0.964703\pi\)
0.805375 0.592766i \(-0.201964\pi\)
\(578\) 13.5467 3.62983i 0.563469 0.150981i
\(579\) 4.75648 + 7.06159i 0.197673 + 0.293470i
\(580\) 1.71524 + 1.71524i 0.0712213 + 0.0712213i
\(581\) −26.2405 29.1382i −1.08864 1.20886i
\(582\) −8.47634 + 9.73823i −0.351355 + 0.403663i
\(583\) 5.27663 19.6926i 0.218536 0.815586i
\(584\) 7.10549 12.3071i 0.294027 0.509270i
\(585\) 11.3161 + 6.54316i 0.467861 + 0.270526i
\(586\) 6.70140 + 11.6072i 0.276832 + 0.479488i
\(587\) −3.73885 3.73885i −0.154319 0.154319i 0.625725 0.780044i \(-0.284803\pi\)
−0.780044 + 0.625725i \(0.784803\pi\)
\(588\) 3.55040 11.5929i 0.146416 0.478082i
\(589\) 16.6080i 0.684322i
\(590\) 3.49477 13.0427i 0.143877 0.536958i
\(591\) −10.0701 + 20.6131i −0.414229 + 0.847908i
\(592\) 5.54340 1.48535i 0.227832 0.0610475i
\(593\) 31.7372 + 8.50395i 1.30329 + 0.349215i 0.842693 0.538394i \(-0.180969\pi\)
0.460596 + 0.887610i \(0.347636\pi\)
\(594\) −12.5647 8.19416i −0.515534 0.336210i
\(595\) −3.69069 4.09826i −0.151304 0.168012i
\(596\) 9.11083 9.11083i 0.373194 0.373194i
\(597\) 1.36686 7.00776i 0.0559417 0.286808i
\(598\) −1.73053 + 2.21789i −0.0707665 + 0.0906961i
\(599\) −9.42962 5.44419i −0.385284 0.222444i 0.294831 0.955549i \(-0.404737\pi\)
−0.680115 + 0.733106i \(0.738070\pi\)
\(600\) −3.42501 5.08485i −0.139826 0.207588i
\(601\) −42.4430 −1.73128 −0.865642 0.500663i \(-0.833090\pi\)
−0.865642 + 0.500663i \(0.833090\pi\)
\(602\) 2.86061 + 0.929212i 0.116590 + 0.0378718i
\(603\) 21.9026 + 16.5491i 0.891942 + 0.673930i
\(604\) 8.59783 + 2.30378i 0.349841 + 0.0937395i
\(605\) −0.833892 3.11213i −0.0339025 0.126526i
\(606\) −7.74688 + 15.8575i −0.314695 + 0.644168i
\(607\) 3.93576 + 6.81694i 0.159748 + 0.276691i 0.934778 0.355233i \(-0.115599\pi\)
−0.775030 + 0.631925i \(0.782265\pi\)
\(608\) 1.67442 0.0679067
\(609\) 8.84352 2.53045i 0.358358 0.102539i
\(610\) 8.11751i 0.328668i
\(611\) 17.4801 7.07538i 0.707169 0.286239i
\(612\) 1.94470 4.79550i 0.0786099 0.193847i
\(613\) 6.23012 + 23.2511i 0.251632 + 0.939104i 0.969933 + 0.243372i \(0.0782535\pi\)
−0.718301 + 0.695733i \(0.755080\pi\)
\(614\) 19.1123 11.0345i 0.771311 0.445317i
\(615\) −14.7021 12.7970i −0.592846 0.516024i
\(616\) −6.40600 4.15937i −0.258105 0.167586i
\(617\) −7.52867 7.52867i −0.303093 0.303093i 0.539130 0.842223i \(-0.318753\pi\)
−0.842223 + 0.539130i \(0.818753\pi\)
\(618\) −2.95543 + 1.99070i −0.118885 + 0.0800775i
\(619\) −40.4467 + 10.8377i −1.62569 + 0.435602i −0.952666 0.304020i \(-0.901671\pi\)
−0.673023 + 0.739622i \(0.735004\pi\)
\(620\) −10.3805 5.99320i −0.416892 0.240693i
\(621\) −0.220003 + 4.04819i −0.00882842 + 0.162448i
\(622\) −5.69310 5.69310i −0.228273 0.228273i
\(623\) −46.0095 14.9453i −1.84333 0.598769i
\(624\) −0.435673 + 6.22978i −0.0174409 + 0.249391i
\(625\) 2.61342 + 4.52657i 0.104537 + 0.181063i
\(626\) −13.5570 + 3.63258i −0.541845 + 0.145187i
\(627\) −7.91799 + 2.72068i −0.316214 + 0.108653i
\(628\) 2.61009 1.50693i 0.104154 0.0601332i
\(629\) −6.99989 6.99989i −0.279104 0.279104i
\(630\) 9.55642 0.824454i 0.380737 0.0328471i
\(631\) 13.3799 + 13.3799i 0.532644 + 0.532644i 0.921358 0.388714i \(-0.127081\pi\)
−0.388714 + 0.921358i \(0.627081\pi\)
\(632\) 16.5127 + 4.42455i 0.656838 + 0.175999i
\(633\) −5.14134 14.9628i −0.204350 0.594719i
\(634\) −28.2459 16.3078i −1.12179 0.647664i
\(635\) 3.43583 + 0.920627i 0.136347 + 0.0365340i
\(636\) −8.03085 + 9.22643i −0.318444 + 0.365852i
\(637\) 21.6235 13.0163i 0.856755 0.515724i
\(638\) 5.79466i 0.229413i
\(639\) 5.17511 + 0.642193i 0.204724 + 0.0254048i
\(640\) −0.604234 + 1.04656i −0.0238844 + 0.0413691i
\(641\) 1.80052 3.11859i 0.0711161 0.123177i −0.828275 0.560322i \(-0.810677\pi\)
0.899391 + 0.437146i \(0.144011\pi\)
\(642\) −1.38448 + 0.932547i −0.0546411 + 0.0368047i
\(643\) −33.1435 + 33.1435i −1.30705 + 1.30705i −0.383519 + 0.923533i \(0.625288\pi\)
−0.923533 + 0.383519i \(0.874712\pi\)
\(644\) −0.107868 + 2.06146i −0.00425061 + 0.0812328i
\(645\) 0.164457 + 2.37382i 0.00647549 + 0.0934691i
\(646\) −1.44414 2.50132i −0.0568187 0.0984129i
\(647\) −11.6418 + 20.1642i −0.457688 + 0.792738i −0.998838 0.0481873i \(-0.984656\pi\)
0.541151 + 0.840926i \(0.317989\pi\)
\(648\) 4.61545 + 7.72643i 0.181312 + 0.303523i
\(649\) −27.9346 + 16.1280i −1.09653 + 0.633080i
\(650\) 1.76810 12.6392i 0.0693508 0.495749i
\(651\) −38.9741 + 23.3881i −1.52751 + 0.916654i
\(652\) −10.0964 + 10.0964i −0.395407 + 0.395407i
\(653\) 40.6034 23.4424i 1.58893 0.917371i 0.595449 0.803393i \(-0.296974\pi\)
0.993483 0.113978i \(-0.0363592\pi\)
\(654\) 3.73735 + 10.8768i 0.146142 + 0.425317i
\(655\) 2.39563 + 8.94062i 0.0936051 + 0.349339i
\(656\) 2.41015 8.99479i 0.0941005 0.351188i
\(657\) 25.7010 34.0151i 1.00269 1.32705i
\(658\) 7.53566 11.6060i 0.293771 0.452448i
\(659\) 15.9324i 0.620640i 0.950632 + 0.310320i \(0.100436\pi\)
−0.950632 + 0.310320i \(0.899564\pi\)
\(660\) 1.15679 5.93078i 0.0450281 0.230855i
\(661\) 17.9918 4.82088i 0.699799 0.187511i 0.108659 0.994079i \(-0.465344\pi\)
0.591141 + 0.806568i \(0.298678\pi\)
\(662\) 10.9545 18.9737i 0.425758 0.737435i
\(663\) 9.68205 4.72217i 0.376020 0.183394i
\(664\) 14.8208 0.575160
\(665\) 2.91543 4.49017i 0.113056 0.174121i
\(666\) 17.0524 2.37415i 0.660766 0.0919965i
\(667\) −1.35629 + 0.783056i −0.0525159 + 0.0303201i
\(668\) 6.94536 1.86100i 0.268724 0.0720044i
\(669\) −16.9666 8.28871i −0.655967 0.320460i
\(670\) −2.86206 + 10.6814i −0.110571 + 0.412657i
\(671\) −13.7119 + 13.7119i −0.529341 + 0.529341i
\(672\) 2.35799 + 3.92936i 0.0909614 + 0.151578i
\(673\) 27.9299i 1.07662i −0.842748 0.538308i \(-0.819064\pi\)
0.842748 0.538308i \(-0.180936\pi\)
\(674\) 5.81803 + 1.55894i 0.224102 + 0.0600480i
\(675\) −8.31825 16.4038i −0.320170 0.631382i
\(676\) −9.33990 + 9.04247i −0.359227 + 0.347787i
\(677\) 33.6506 19.4282i 1.29330 0.746686i 0.314060 0.949403i \(-0.398311\pi\)
0.979237 + 0.202717i \(0.0649773\pi\)
\(678\) 0.643859 + 9.29365i 0.0247272 + 0.356920i
\(679\) −14.6546 + 13.1972i −0.562392 + 0.506462i
\(680\) 2.08453 0.0799382
\(681\) 22.9673 + 34.0978i 0.880110 + 1.30663i
\(682\) 7.41095 + 27.6580i 0.283780 + 1.05908i
\(683\) −9.89820 36.9406i −0.378744 1.41349i −0.847796 0.530322i \(-0.822071\pi\)
0.469052 0.883170i \(-0.344596\pi\)
\(684\) 4.98502 + 0.618605i 0.190607 + 0.0236529i
\(685\) −19.8343 −0.757828
\(686\) 7.52874 16.9209i 0.287449 0.646044i
\(687\) 21.1793 1.46729i 0.808040 0.0559806i
\(688\) −0.984515 + 0.568410i −0.0375343 + 0.0216704i
\(689\) −25.2711 + 3.11925i −0.962753 + 0.118834i
\(690\) −1.54448 + 0.530693i −0.0587972 + 0.0202031i
\(691\) 31.9977 + 8.57375i 1.21725 + 0.326161i 0.809602 0.586979i \(-0.199683\pi\)
0.407646 + 0.913140i \(0.366350\pi\)
\(692\) 3.24654i 0.123415i
\(693\) −17.5351 14.7498i −0.666102 0.560298i
\(694\) 7.37906 7.37906i 0.280105 0.280105i
\(695\) 1.51624 5.65868i 0.0575143 0.214646i
\(696\) −1.52609 + 3.12383i −0.0578462 + 0.118409i
\(697\) −15.5155 + 4.15736i −0.587690 + 0.157471i
\(698\) −27.0571 + 15.6215i −1.02413 + 0.591281i
\(699\) −11.5325 + 13.2494i −0.436198 + 0.501136i
\(700\) −4.25226 8.34386i −0.160720 0.315368i
\(701\) −40.2786 −1.52130 −0.760651 0.649161i \(-0.775120\pi\)
−0.760651 + 0.649161i \(0.775120\pi\)
\(702\) −3.59863 + 18.3861i −0.135821 + 0.693940i
\(703\) 4.80470 8.32199i 0.181213 0.313870i
\(704\) 2.78848 0.747171i 0.105095 0.0281601i
\(705\) 10.7450 + 2.09580i 0.404680 + 0.0789324i
\(706\) 23.5382i 0.885873i
\(707\) −14.6810 + 22.6107i −0.552134 + 0.850363i
\(708\) 19.3067 1.33756i 0.725590 0.0502685i
\(709\) −8.35440 + 31.1790i −0.313756 + 1.17095i 0.611386 + 0.791332i \(0.290612\pi\)
−0.925142 + 0.379621i \(0.876054\pi\)
\(710\) 0.543685 + 2.02906i 0.0204041 + 0.0761493i
\(711\) 47.5263 + 19.2731i 1.78238 + 0.722799i
\(712\) 15.8348 9.14220i 0.593433 0.342619i
\(713\) 5.47215 5.47215i 0.204934 0.204934i
\(714\) 3.83615 6.91141i 0.143564 0.258653i
\(715\) 10.0409 7.57636i 0.375507 0.283340i
\(716\) 3.12715 1.80546i 0.116867 0.0674733i
\(717\) 9.52405 19.4953i 0.355682 0.728065i
\(718\) −10.5645 + 18.2982i −0.394262 + 0.682882i
\(719\) −6.50402 11.2653i −0.242559 0.420125i 0.718883 0.695131i \(-0.244654\pi\)
−0.961443 + 0.275006i \(0.911320\pi\)
\(720\) −2.18555 + 2.89256i −0.0814507 + 0.107799i
\(721\) −4.84964 + 2.47151i −0.180610 + 0.0920439i
\(722\) −11.4525 + 11.4525i −0.426219 + 0.426219i
\(723\) −1.15603 1.71627i −0.0429932 0.0638287i
\(724\) 0.635545 1.10080i 0.0236199 0.0409108i
\(725\) 3.55246 6.15303i 0.131935 0.228518i
\(726\) 3.83003 2.57980i 0.142146 0.0957453i
\(727\) 31.5167i 1.16889i 0.811433 + 0.584445i \(0.198688\pi\)
−0.811433 + 0.584445i \(0.801312\pi\)
\(728\) −1.81347 + 9.36543i −0.0672118 + 0.347106i
\(729\) 10.8865 + 24.7080i 0.403202 + 0.915111i
\(730\) 16.5883 + 4.44483i 0.613962 + 0.164511i
\(731\) 1.69823 + 0.980473i 0.0628112 + 0.0362641i
\(732\) 11.0031 3.78074i 0.406686 0.139740i
\(733\) 7.49621 + 2.00860i 0.276879 + 0.0741894i 0.394586 0.918859i \(-0.370888\pi\)
−0.117708 + 0.993048i \(0.537555\pi\)
\(734\) 2.64074 + 2.64074i 0.0974714 + 0.0974714i
\(735\) 14.6427 + 0.518397i 0.540105 + 0.0191214i
\(736\) −0.551701 0.551701i −0.0203360 0.0203360i
\(737\) 22.8772 13.2081i 0.842691 0.486528i
\(738\) 10.4985 25.8886i 0.386455 0.952971i
\(739\) −48.0751 + 12.8817i −1.76847 + 0.473860i −0.988405 0.151839i \(-0.951480\pi\)
−0.780064 + 0.625699i \(0.784814\pi\)
\(740\) 3.46767 + 6.00618i 0.127474 + 0.220791i
\(741\) 6.86019 + 7.89185i 0.252015 + 0.289914i
\(742\) −13.8844 + 12.5036i −0.509712 + 0.459022i
\(743\) −9.28253 9.28253i −0.340543 0.340543i 0.516029 0.856571i \(-0.327410\pi\)
−0.856571 + 0.516029i \(0.827410\pi\)
\(744\) 3.28890 16.8619i 0.120577 0.618187i
\(745\) 13.4846 + 7.78535i 0.494038 + 0.285233i
\(746\) −11.8071 + 3.16371i −0.432289 + 0.115832i
\(747\) 44.1241 + 5.47547i 1.61442 + 0.200337i
\(748\) −3.52113 3.52113i −0.128745 0.128745i
\(749\) −2.27183 + 1.15779i −0.0830108 + 0.0423046i
\(750\) 11.7354 13.4825i 0.428516 0.492311i
\(751\) 12.4627 7.19537i 0.454772 0.262563i −0.255071 0.966922i \(-0.582099\pi\)
0.709843 + 0.704359i \(0.248766\pi\)
\(752\) 1.35367 + 5.05198i 0.0493634 + 0.184227i
\(753\) 10.2017 + 29.6900i 0.371770 + 1.08196i
\(754\) −6.70856 + 2.71541i −0.244311 + 0.0988894i
\(755\) 10.7567i 0.391477i
\(756\) 5.56844 + 12.5695i 0.202522 + 0.457148i
\(757\) −2.07568 −0.0754419 −0.0377209 0.999288i \(-0.512010\pi\)
−0.0377209 + 0.999288i \(0.512010\pi\)
\(758\) −4.58537 7.94210i −0.166548 0.288470i
\(759\) 3.50532 + 1.71245i 0.127235 + 0.0621581i
\(760\) 0.523716 + 1.95453i 0.0189972 + 0.0708984i
\(761\) −31.1352 8.34265i −1.12865 0.302421i −0.354271 0.935143i \(-0.615271\pi\)
−0.774379 + 0.632722i \(0.781938\pi\)
\(762\) 0.352353 + 5.08596i 0.0127644 + 0.184245i
\(763\) 3.65400 + 17.1838i 0.132284 + 0.622097i
\(764\) −22.4469 −0.812099
\(765\) 6.20600 + 0.770119i 0.224378 + 0.0278437i
\(766\) 10.6328 + 6.13883i 0.384177 + 0.221805i
\(767\) 31.7620 + 24.7826i 1.14686 + 0.894847i
\(768\) −1.70001 0.331586i −0.0613440 0.0119651i
\(769\) 4.69778 4.69778i 0.169406 0.169406i −0.617312 0.786718i \(-0.711778\pi\)
0.786718 + 0.617312i \(0.211778\pi\)
\(770\) 2.85155 8.77861i 0.102763 0.316359i
\(771\) −8.01689 + 9.21038i −0.288721 + 0.331704i
\(772\) −4.74813 1.27226i −0.170889 0.0457896i
\(773\) 9.82634 2.63296i 0.353429 0.0947010i −0.0777364 0.996974i \(-0.524769\pi\)
0.431165 + 0.902273i \(0.358103\pi\)
\(774\) −3.14106 + 1.32853i