Properties

Label 483.2.y.b.193.5
Level $483$
Weight $2$
Character 483.193
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 193.5
Character \(\chi\) \(=\) 483.193
Dual form 483.2.y.b.478.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09525 - 1.04432i) q^{2} +(0.981929 - 0.189251i) q^{3} +(0.0138068 + 0.289839i) q^{4} +(2.20290 - 1.73238i) q^{5} +(-1.27309 - 0.818168i) q^{6} +(2.57057 - 0.626249i) q^{7} +(-1.69448 + 1.95553i) q^{8} +(0.928368 - 0.371662i) q^{9} +O(q^{10})\) \(q+(-1.09525 - 1.04432i) q^{2} +(0.981929 - 0.189251i) q^{3} +(0.0138068 + 0.289839i) q^{4} +(2.20290 - 1.73238i) q^{5} +(-1.27309 - 0.818168i) q^{6} +(2.57057 - 0.626249i) q^{7} +(-1.69448 + 1.95553i) q^{8} +(0.928368 - 0.371662i) q^{9} +(-4.22189 - 0.403141i) q^{10} +(1.54302 - 1.47127i) q^{11} +(0.0684097 + 0.281989i) q^{12} +(-0.526237 - 1.15230i) q^{13} +(-3.46941 - 1.99859i) q^{14} +(1.83524 - 2.11798i) q^{15} +(4.47578 - 0.427385i) q^{16} +(-1.62838 + 0.839489i) q^{17} +(-1.40493 - 0.562448i) q^{18} +(6.07538 + 3.13208i) q^{19} +(0.532528 + 0.614570i) q^{20} +(2.40559 - 1.10141i) q^{21} -3.22646 q^{22} +(-1.94654 + 4.38303i) q^{23} +(-1.29377 + 2.24088i) q^{24} +(0.672841 - 2.77349i) q^{25} +(-0.627005 + 1.81161i) q^{26} +(0.841254 - 0.540641i) q^{27} +(0.217003 + 0.736405i) q^{28} +(-6.31168 - 4.05627i) q^{29} +(-4.22189 + 0.403141i) q^{30} +(1.62006 + 4.68087i) q^{31} +(-1.28053 - 1.00702i) q^{32} +(1.23670 - 1.73670i) q^{33} +(2.66018 + 0.781098i) q^{34} +(4.57781 - 5.83277i) q^{35} +(0.120540 + 0.263946i) q^{36} +(-7.35767 + 2.94557i) q^{37} +(-3.38317 - 9.77503i) q^{38} +(-0.734801 - 1.03188i) q^{39} +(-0.345043 + 7.24334i) q^{40} +(-0.570516 - 3.96802i) q^{41} +(-3.78495 - 1.30588i) q^{42} +(-2.40572 - 2.77634i) q^{43} +(0.447735 + 0.426914i) q^{44} +(1.40124 - 2.42703i) q^{45} +(6.70922 - 2.76771i) q^{46} +(-5.93354 - 10.2772i) q^{47} +(4.31401 - 1.26671i) q^{48} +(6.21562 - 3.21963i) q^{49} +(-3.63333 + 2.33500i) q^{50} +(-1.44008 + 1.13249i) q^{51} +(0.326716 - 0.168434i) q^{52} +(5.98631 + 8.40660i) q^{53} +(-1.48598 - 0.286400i) q^{54} +(0.850327 - 5.91416i) q^{55} +(-3.13112 + 6.08799i) q^{56} +(6.55834 + 1.92570i) q^{57} +(2.67683 + 11.0340i) q^{58} +(-9.17750 - 0.876345i) q^{59} +(0.639213 + 0.502682i) q^{60} +(0.974897 + 0.187896i) q^{61} +(3.11394 - 6.81857i) q^{62} +(2.15368 - 1.53677i) q^{63} +(-0.928885 - 6.46053i) q^{64} +(-3.15547 - 1.62676i) q^{65} +(-3.16815 + 0.610611i) q^{66} +(-0.561379 + 2.31404i) q^{67} +(-0.265800 - 0.460379i) q^{68} +(-1.08187 + 4.67221i) q^{69} +(-11.1051 + 1.60765i) q^{70} +(-11.1392 + 3.27078i) q^{71} +(-0.846301 + 2.44523i) q^{72} +(0.133916 + 2.81125i) q^{73} +(11.1346 + 4.45762i) q^{74} +(0.135796 - 2.85071i) q^{75} +(-0.823918 + 1.80413i) q^{76} +(3.04505 - 4.74830i) q^{77} +(-0.272824 + 1.89754i) q^{78} +(0.220015 - 0.308968i) q^{79} +(9.11932 - 8.69525i) q^{80} +(0.723734 - 0.690079i) q^{81} +(-3.51902 + 4.94177i) q^{82} +(0.292112 - 2.03169i) q^{83} +(0.352447 + 0.682029i) q^{84} +(-2.13285 + 4.67030i) q^{85} +(-0.264528 + 5.55312i) q^{86} +(-6.96528 - 2.78848i) q^{87} +(0.262495 + 5.51045i) q^{88} +(-2.31552 + 6.69027i) q^{89} +(-4.06930 + 1.19485i) q^{90} +(-2.07435 - 2.63251i) q^{91} +(-1.29725 - 0.503668i) q^{92} +(2.47665 + 4.28968i) q^{93} +(-4.23395 + 17.4526i) q^{94} +(18.8094 - 3.62522i) q^{95} +(-1.44797 - 0.746479i) q^{96} +(0.884602 + 6.15254i) q^{97} +(-10.1700 - 2.96479i) q^{98} +(0.885675 - 1.93936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09525 1.04432i −0.774458 0.738444i 0.195767 0.980650i \(-0.437280\pi\)
−0.970225 + 0.242207i \(0.922129\pi\)
\(3\) 0.981929 0.189251i 0.566917 0.109264i
\(4\) 0.0138068 + 0.289839i 0.00690338 + 0.144920i
\(5\) 2.20290 1.73238i 0.985169 0.774745i 0.0108552 0.999941i \(-0.496545\pi\)
0.974314 + 0.225196i \(0.0723022\pi\)
\(6\) −1.27309 0.818168i −0.519739 0.334016i
\(7\) 2.57057 0.626249i 0.971583 0.236700i
\(8\) −1.69448 + 1.95553i −0.599089 + 0.691385i
\(9\) 0.928368 0.371662i 0.309456 0.123887i
\(10\) −4.22189 0.403141i −1.33508 0.127484i
\(11\) 1.54302 1.47127i 0.465238 0.443603i −0.420844 0.907133i \(-0.638266\pi\)
0.886081 + 0.463530i \(0.153417\pi\)
\(12\) 0.0684097 + 0.281989i 0.0197482 + 0.0814031i
\(13\) −0.526237 1.15230i −0.145952 0.319590i 0.822510 0.568750i \(-0.192573\pi\)
−0.968462 + 0.249160i \(0.919846\pi\)
\(14\) −3.46941 1.99859i −0.927239 0.534145i
\(15\) 1.83524 2.11798i 0.473857 0.546860i
\(16\) 4.47578 0.427385i 1.11894 0.106846i
\(17\) −1.62838 + 0.839489i −0.394941 + 0.203606i −0.644245 0.764819i \(-0.722828\pi\)
0.249304 + 0.968425i \(0.419798\pi\)
\(18\) −1.40493 0.562448i −0.331145 0.132570i
\(19\) 6.07538 + 3.13208i 1.39379 + 0.718547i 0.981312 0.192421i \(-0.0616340\pi\)
0.412475 + 0.910969i \(0.364664\pi\)
\(20\) 0.532528 + 0.614570i 0.119077 + 0.137422i
\(21\) 2.40559 1.10141i 0.524944 0.240348i
\(22\) −3.22646 −0.687883
\(23\) −1.94654 + 4.38303i −0.405881 + 0.913926i
\(24\) −1.29377 + 2.24088i −0.264090 + 0.457417i
\(25\) 0.672841 2.77349i 0.134568 0.554698i
\(26\) −0.627005 + 1.81161i −0.122966 + 0.355286i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) 0.217003 + 0.736405i 0.0410097 + 0.139167i
\(29\) −6.31168 4.05627i −1.17205 0.753231i −0.198142 0.980173i \(-0.563491\pi\)
−0.973908 + 0.226942i \(0.927127\pi\)
\(30\) −4.22189 + 0.403141i −0.770807 + 0.0736032i
\(31\) 1.62006 + 4.68087i 0.290972 + 0.840709i 0.991848 + 0.127426i \(0.0406714\pi\)
−0.700876 + 0.713283i \(0.747207\pi\)
\(32\) −1.28053 1.00702i −0.226368 0.178018i
\(33\) 1.23670 1.73670i 0.215281 0.302320i
\(34\) 2.66018 + 0.781098i 0.456216 + 0.133957i
\(35\) 4.57781 5.83277i 0.773791 0.985919i
\(36\) 0.120540 + 0.263946i 0.0200900 + 0.0439910i
\(37\) −7.35767 + 2.94557i −1.20959 + 0.484248i −0.886770 0.462211i \(-0.847056\pi\)
−0.322824 + 0.946459i \(0.604632\pi\)
\(38\) −3.38317 9.77503i −0.548823 1.58572i
\(39\) −0.734801 1.03188i −0.117662 0.165234i
\(40\) −0.345043 + 7.24334i −0.0545560 + 1.14527i
\(41\) −0.570516 3.96802i −0.0890996 0.619701i −0.984624 0.174688i \(-0.944108\pi\)
0.895524 0.445013i \(-0.146801\pi\)
\(42\) −3.78495 1.30588i −0.584031 0.201502i
\(43\) −2.40572 2.77634i −0.366868 0.423389i 0.542061 0.840339i \(-0.317644\pi\)
−0.908929 + 0.416951i \(0.863099\pi\)
\(44\) 0.447735 + 0.426914i 0.0674986 + 0.0643597i
\(45\) 1.40124 2.42703i 0.208885 0.361800i
\(46\) 6.70922 2.76771i 0.989221 0.408076i
\(47\) −5.93354 10.2772i −0.865496 1.49908i −0.866554 0.499084i \(-0.833670\pi\)
0.00105773 0.999999i \(-0.499663\pi\)
\(48\) 4.31401 1.26671i 0.622674 0.182834i
\(49\) 6.21562 3.21963i 0.887946 0.459947i
\(50\) −3.63333 + 2.33500i −0.513831 + 0.330219i
\(51\) −1.44008 + 1.13249i −0.201652 + 0.158581i
\(52\) 0.326716 0.168434i 0.0453074 0.0233576i
\(53\) 5.98631 + 8.40660i 0.822283 + 1.15474i 0.985755 + 0.168187i \(0.0537913\pi\)
−0.163472 + 0.986548i \(0.552269\pi\)
\(54\) −1.48598 0.286400i −0.202217 0.0389741i
\(55\) 0.850327 5.91416i 0.114658 0.797465i
\(56\) −3.13112 + 6.08799i −0.418413 + 0.813542i
\(57\) 6.55834 + 1.92570i 0.868673 + 0.255065i
\(58\) 2.67683 + 11.0340i 0.351484 + 1.44884i
\(59\) −9.17750 0.876345i −1.19481 0.114090i −0.521368 0.853332i \(-0.674578\pi\)
−0.673440 + 0.739242i \(0.735184\pi\)
\(60\) 0.639213 + 0.502682i 0.0825220 + 0.0648960i
\(61\) 0.974897 + 0.187896i 0.124823 + 0.0240576i 0.251280 0.967914i \(-0.419149\pi\)
−0.126457 + 0.991972i \(0.540361\pi\)
\(62\) 3.11394 6.81857i 0.395471 0.865960i
\(63\) 2.15368 1.53677i 0.271338 0.193615i
\(64\) −0.928885 6.46053i −0.116111 0.807567i
\(65\) −3.15547 1.62676i −0.391388 0.201775i
\(66\) −3.16815 + 0.610611i −0.389972 + 0.0751610i
\(67\) −0.561379 + 2.31404i −0.0685834 + 0.282705i −0.995768 0.0918994i \(-0.970706\pi\)
0.927185 + 0.374604i \(0.122221\pi\)
\(68\) −0.265800 0.460379i −0.0322330 0.0558291i
\(69\) −1.08187 + 4.67221i −0.130242 + 0.562468i
\(70\) −11.1051 + 1.60765i −1.32731 + 0.192151i
\(71\) −11.1392 + 3.27078i −1.32199 + 0.388170i −0.865209 0.501412i \(-0.832814\pi\)
−0.456776 + 0.889582i \(0.650996\pi\)
\(72\) −0.846301 + 2.44523i −0.0997376 + 0.288173i
\(73\) 0.133916 + 2.81125i 0.0156737 + 0.329032i 0.993063 + 0.117584i \(0.0375149\pi\)
−0.977389 + 0.211448i \(0.932182\pi\)
\(74\) 11.1346 + 4.45762i 1.29437 + 0.518187i
\(75\) 0.135796 2.85071i 0.0156804 0.329171i
\(76\) −0.823918 + 1.80413i −0.0945099 + 0.206948i
\(77\) 3.04505 4.74830i 0.347016 0.541119i
\(78\) −0.272824 + 1.89754i −0.0308913 + 0.214854i
\(79\) 0.220015 0.308968i 0.0247536 0.0347616i −0.802014 0.597306i \(-0.796238\pi\)
0.826767 + 0.562544i \(0.190177\pi\)
\(80\) 9.11932 8.69525i 1.01957 0.972159i
\(81\) 0.723734 0.690079i 0.0804149 0.0766754i
\(82\) −3.51902 + 4.94177i −0.388611 + 0.545727i
\(83\) 0.292112 2.03169i 0.0320635 0.223006i −0.967489 0.252912i \(-0.918612\pi\)
0.999553 + 0.0299058i \(0.00952072\pi\)
\(84\) 0.352447 + 0.682029i 0.0384551 + 0.0744155i
\(85\) −2.13285 + 4.67030i −0.231340 + 0.506565i
\(86\) −0.264528 + 5.55312i −0.0285247 + 0.598808i
\(87\) −6.96528 2.78848i −0.746756 0.298956i
\(88\) 0.262495 + 5.51045i 0.0279821 + 0.587416i
\(89\) −2.31552 + 6.69027i −0.245445 + 0.709167i 0.753232 + 0.657754i \(0.228494\pi\)
−0.998678 + 0.0514125i \(0.983628\pi\)
\(90\) −4.06930 + 1.19485i −0.428941 + 0.125949i
\(91\) −2.07435 2.63251i −0.217451 0.275962i
\(92\) −1.29725 0.503668i −0.135248 0.0525110i
\(93\) 2.47665 + 4.28968i 0.256816 + 0.444819i
\(94\) −4.23395 + 17.4526i −0.436699 + 1.80010i
\(95\) 18.8094 3.62522i 1.92981 0.371940i
\(96\) −1.44797 0.746479i −0.147783 0.0761872i
\(97\) 0.884602 + 6.15254i 0.0898178 + 0.624696i 0.984156 + 0.177305i \(0.0567378\pi\)
−0.894338 + 0.447391i \(0.852353\pi\)
\(98\) −10.1700 2.96479i −1.02732 0.299489i
\(99\) 0.885675 1.93936i 0.0890137 0.194913i
\(100\) 0.813157 + 0.156723i 0.0813157 + 0.0156723i
\(101\) 8.55779 + 6.72992i 0.851532 + 0.669652i 0.945393 0.325933i \(-0.105679\pi\)
−0.0938611 + 0.995585i \(0.529921\pi\)
\(102\) 2.75993 + 0.263541i 0.273274 + 0.0260945i
\(103\) 0.749404 + 3.08909i 0.0738410 + 0.304377i 0.996742 0.0806617i \(-0.0257033\pi\)
−0.922901 + 0.385038i \(0.874188\pi\)
\(104\) 3.14506 + 0.923472i 0.308398 + 0.0905538i
\(105\) 3.39122 6.59372i 0.330949 0.643481i
\(106\) 2.22266 15.4589i 0.215884 1.50150i
\(107\) 15.2938 + 2.94764i 1.47851 + 0.284959i 0.863815 0.503809i \(-0.168069\pi\)
0.614691 + 0.788768i \(0.289281\pi\)
\(108\) 0.168314 + 0.236364i 0.0161960 + 0.0227441i
\(109\) 5.50872 2.83994i 0.527640 0.272017i −0.173757 0.984789i \(-0.555591\pi\)
0.701396 + 0.712771i \(0.252560\pi\)
\(110\) −7.10758 + 5.58946i −0.677681 + 0.532934i
\(111\) −6.66726 + 4.28478i −0.632828 + 0.406694i
\(112\) 11.2376 3.90158i 1.06186 0.368664i
\(113\) −6.51134 + 1.91190i −0.612535 + 0.179857i −0.573262 0.819372i \(-0.694322\pi\)
−0.0392730 + 0.999229i \(0.512504\pi\)
\(114\) −5.17197 8.95811i −0.484399 0.839004i
\(115\) 3.30506 + 13.0276i 0.308198 + 1.21483i
\(116\) 1.08852 1.88538i 0.101067 0.175053i
\(117\) −0.916808 0.874175i −0.0847589 0.0808175i
\(118\) 9.13646 + 10.5440i 0.841079 + 0.970657i
\(119\) −3.66013 + 3.17774i −0.335524 + 0.291303i
\(120\) 1.03200 + 7.17774i 0.0942086 + 0.655235i
\(121\) −0.307116 + 6.44716i −0.0279197 + 0.586106i
\(122\) −0.871532 1.22389i −0.0789048 0.110806i
\(123\) −1.31116 3.78835i −0.118223 0.341584i
\(124\) −1.33433 + 0.534186i −0.119827 + 0.0479713i
\(125\) 2.49844 + 5.47081i 0.223467 + 0.489324i
\(126\) −3.96369 0.565975i −0.353114 0.0504211i
\(127\) 4.60508 + 1.35217i 0.408634 + 0.119986i 0.479588 0.877494i \(-0.340786\pi\)
−0.0709537 + 0.997480i \(0.522604\pi\)
\(128\) −7.61939 + 10.6999i −0.673465 + 0.945749i
\(129\) −2.88767 2.27089i −0.254245 0.199940i
\(130\) 1.75717 + 5.07702i 0.154114 + 0.445284i
\(131\) 18.3975 1.75675i 1.60740 0.153488i 0.747610 0.664139i \(-0.231202\pi\)
0.859788 + 0.510651i \(0.170595\pi\)
\(132\) 0.520438 + 0.334465i 0.0452983 + 0.0291114i
\(133\) 17.5786 + 4.24651i 1.52426 + 0.368219i
\(134\) 3.03144 1.94819i 0.261876 0.168298i
\(135\) 0.916604 2.64835i 0.0788887 0.227934i
\(136\) 1.11761 4.60685i 0.0958342 0.395034i
\(137\) 7.30662 12.6554i 0.624246 1.08123i −0.364440 0.931227i \(-0.618739\pi\)
0.988686 0.150000i \(-0.0479272\pi\)
\(138\) 6.06419 3.98742i 0.516218 0.339432i
\(139\) −9.31938 −0.790460 −0.395230 0.918582i \(-0.629335\pi\)
−0.395230 + 0.918582i \(0.629335\pi\)
\(140\) 1.75377 + 1.24630i 0.148221 + 0.105331i
\(141\) −7.77129 8.96854i −0.654460 0.755288i
\(142\) 15.6160 + 8.05059i 1.31046 + 0.675591i
\(143\) −2.50733 1.00378i −0.209674 0.0839406i
\(144\) 3.99633 2.06025i 0.333027 0.171687i
\(145\) −20.9311 + 1.99867i −1.73823 + 0.165981i
\(146\) 2.78917 3.21887i 0.230833 0.266396i
\(147\) 5.49398 4.33776i 0.453136 0.357773i
\(148\) −0.955327 2.09187i −0.0785274 0.171951i
\(149\) 2.13420 + 8.79728i 0.174840 + 0.720701i 0.989953 + 0.141398i \(0.0451599\pi\)
−0.815113 + 0.579303i \(0.803325\pi\)
\(150\) −3.12577 + 2.98042i −0.255218 + 0.243350i
\(151\) 15.6816 + 1.49741i 1.27615 + 0.121858i 0.711037 0.703155i \(-0.248226\pi\)
0.565115 + 0.825012i \(0.308832\pi\)
\(152\) −16.4195 + 6.57337i −1.33180 + 0.533170i
\(153\) −1.19973 + 1.38456i −0.0969925 + 0.111935i
\(154\) −8.29382 + 2.02057i −0.668335 + 0.162822i
\(155\) 11.6779 + 7.50493i 0.937992 + 0.602811i
\(156\) 0.288936 0.227221i 0.0231334 0.0181923i
\(157\) 0.379178 + 7.95994i 0.0302617 + 0.635272i 0.962149 + 0.272524i \(0.0878584\pi\)
−0.931887 + 0.362748i \(0.881839\pi\)
\(158\) −0.563632 + 0.108631i −0.0448401 + 0.00864223i
\(159\) 7.46909 + 7.12176i 0.592337 + 0.564793i
\(160\) −4.56543 −0.360929
\(161\) −2.25884 + 12.4859i −0.178021 + 0.984027i
\(162\) −1.51333 −0.118898
\(163\) −16.1918 15.4389i −1.26824 1.20927i −0.966728 0.255806i \(-0.917659\pi\)
−0.301515 0.953461i \(-0.597492\pi\)
\(164\) 1.14221 0.220143i 0.0891918 0.0171903i
\(165\) −0.284301 5.96820i −0.0221328 0.464624i
\(166\) −2.44166 + 1.92014i −0.189510 + 0.149032i
\(167\) −8.43599 5.42148i −0.652796 0.419527i 0.171891 0.985116i \(-0.445012\pi\)
−0.824687 + 0.565589i \(0.808649\pi\)
\(168\) −1.92238 + 6.57054i −0.148314 + 0.506928i
\(169\) 7.46232 8.61198i 0.574025 0.662460i
\(170\) 7.21327 2.88776i 0.553233 0.221481i
\(171\) 6.80426 + 0.649728i 0.520335 + 0.0496860i
\(172\) 0.771479 0.735604i 0.0588247 0.0560893i
\(173\) 5.42025 + 22.3426i 0.412094 + 1.69868i 0.678321 + 0.734766i \(0.262708\pi\)
−0.266227 + 0.963910i \(0.585777\pi\)
\(174\) 4.71666 + 10.3280i 0.357569 + 0.782966i
\(175\) −0.00731242 7.55081i −0.000552767 0.570787i
\(176\) 6.27741 7.24452i 0.473178 0.546076i
\(177\) −9.17750 + 0.876345i −0.689823 + 0.0658701i
\(178\) 9.52284 4.90936i 0.713767 0.367972i
\(179\) −12.3731 4.95344i −0.924809 0.370238i −0.140125 0.990134i \(-0.544751\pi\)
−0.784684 + 0.619896i \(0.787175\pi\)
\(180\) 0.722794 + 0.372626i 0.0538739 + 0.0277739i
\(181\) −10.8135 12.4795i −0.803764 0.927594i 0.194817 0.980840i \(-0.437589\pi\)
−0.998581 + 0.0532461i \(0.983043\pi\)
\(182\) −0.477238 + 5.04953i −0.0353752 + 0.374296i
\(183\) 0.992839 0.0733928
\(184\) −5.27280 11.2335i −0.388716 0.828143i
\(185\) −11.1054 + 19.2351i −0.816485 + 1.41419i
\(186\) 1.76724 7.28467i 0.129580 0.534138i
\(187\) −1.27751 + 3.69113i −0.0934209 + 0.269922i
\(188\) 2.89681 1.86167i 0.211272 0.135776i
\(189\) 1.82392 1.91659i 0.132671 0.139411i
\(190\) −24.3869 15.6725i −1.76921 1.13700i
\(191\) 7.40537 0.707127i 0.535834 0.0511659i 0.176368 0.984324i \(-0.443565\pi\)
0.359466 + 0.933158i \(0.382959\pi\)
\(192\) −2.13476 6.16799i −0.154063 0.445136i
\(193\) −17.7390 13.9501i −1.27688 1.00415i −0.999052 0.0435227i \(-0.986142\pi\)
−0.277831 0.960630i \(-0.589616\pi\)
\(194\) 5.45635 7.66237i 0.391743 0.550126i
\(195\) −3.40632 1.00018i −0.243931 0.0716247i
\(196\) 1.01899 + 1.75708i 0.0727852 + 0.125506i
\(197\) 9.11794 + 19.9655i 0.649627 + 1.42248i 0.891881 + 0.452271i \(0.149386\pi\)
−0.242254 + 0.970213i \(0.577887\pi\)
\(198\) −2.99534 + 1.19915i −0.212869 + 0.0852201i
\(199\) −5.81488 16.8010i −0.412206 1.19099i −0.939868 0.341537i \(-0.889053\pi\)
0.527662 0.849454i \(-0.323069\pi\)
\(200\) 4.28353 + 6.01538i 0.302892 + 0.425352i
\(201\) −0.113300 + 2.37846i −0.00799157 + 0.167764i
\(202\) −2.34473 16.3080i −0.164975 1.14743i
\(203\) −18.7648 6.47423i −1.31703 0.454402i
\(204\) −0.348124 0.401756i −0.0243735 0.0281286i
\(205\) −8.13093 7.75283i −0.567889 0.541481i
\(206\) 2.40520 4.16593i 0.167578 0.290254i
\(207\) −0.178095 + 4.79252i −0.0123784 + 0.333103i
\(208\) −2.84780 4.93253i −0.197459 0.342009i
\(209\) 13.9825 4.10564i 0.967192 0.283993i
\(210\) −10.6002 + 3.68025i −0.731481 + 0.253962i
\(211\) 9.56935 6.14985i 0.658781 0.423373i −0.168084 0.985773i \(-0.553758\pi\)
0.826866 + 0.562400i \(0.190122\pi\)
\(212\) −2.35391 + 1.85114i −0.161667 + 0.127137i
\(213\) −10.3189 + 5.31979i −0.707043 + 0.364506i
\(214\) −13.6722 19.2000i −0.934614 1.31248i
\(215\) −10.1093 1.94840i −0.689445 0.132880i
\(216\) −0.368245 + 2.56120i −0.0250559 + 0.174268i
\(217\) 7.09587 + 11.0179i 0.481699 + 0.747945i
\(218\) −8.99922 2.64241i −0.609504 0.178967i
\(219\) 0.663529 + 2.73510i 0.0448371 + 0.184821i
\(220\) 1.72590 + 0.164803i 0.116360 + 0.0111110i
\(221\) 1.82426 + 1.43461i 0.122713 + 0.0965025i
\(222\) 11.7770 + 2.26983i 0.790419 + 0.152341i
\(223\) −9.90824 + 21.6960i −0.663505 + 1.45287i 0.215715 + 0.976456i \(0.430792\pi\)
−0.879220 + 0.476416i \(0.841936\pi\)
\(224\) −3.92233 1.78668i −0.262072 0.119378i
\(225\) −0.406158 2.82489i −0.0270772 0.188326i
\(226\) 9.12817 + 4.70590i 0.607197 + 0.313032i
\(227\) −4.44958 + 0.857586i −0.295329 + 0.0569200i −0.334764 0.942302i \(-0.608656\pi\)
0.0394345 + 0.999222i \(0.487444\pi\)
\(228\) −0.467595 + 1.92745i −0.0309672 + 0.127649i
\(229\) 6.12615 + 10.6108i 0.404828 + 0.701182i 0.994301 0.106606i \(-0.0339982\pi\)
−0.589474 + 0.807787i \(0.700665\pi\)
\(230\) 9.98504 17.7199i 0.658394 1.16842i
\(231\) 2.09140 5.23877i 0.137604 0.344686i
\(232\) 18.6272 5.46943i 1.22293 0.359086i
\(233\) −0.185755 + 0.536703i −0.0121692 + 0.0351606i −0.950922 0.309431i \(-0.899861\pi\)
0.938753 + 0.344592i \(0.111983\pi\)
\(234\) 0.0912168 + 1.91488i 0.00596303 + 0.125179i
\(235\) −30.8751 12.3605i −2.01407 0.806311i
\(236\) 0.127288 2.67210i 0.00828573 0.173939i
\(237\) 0.157567 0.345023i 0.0102351 0.0224116i
\(238\) 7.32732 + 0.341932i 0.474960 + 0.0221641i
\(239\) 1.00726 7.00562i 0.0651540 0.453156i −0.930963 0.365114i \(-0.881030\pi\)
0.996117 0.0880419i \(-0.0280609\pi\)
\(240\) 7.30893 10.2640i 0.471790 0.662536i
\(241\) 12.1424 11.5777i 0.782158 0.745786i −0.189576 0.981866i \(-0.560711\pi\)
0.971734 + 0.236080i \(0.0758628\pi\)
\(242\) 7.06925 6.74052i 0.454429 0.433297i
\(243\) 0.580057 0.814576i 0.0372107 0.0522551i
\(244\) −0.0409995 + 0.285158i −0.00262472 + 0.0182554i
\(245\) 8.11479 17.8604i 0.518435 1.14106i
\(246\) −2.52019 + 5.51845i −0.160681 + 0.351843i
\(247\) 0.411996 8.64887i 0.0262147 0.550314i
\(248\) −11.8988 4.76354i −0.755572 0.302485i
\(249\) −0.0976656 2.05025i −0.00618930 0.129929i
\(250\) 2.97686 8.60106i 0.188273 0.543979i
\(251\) 0.316295 0.0928725i 0.0199644 0.00586206i −0.271735 0.962372i \(-0.587597\pi\)
0.291699 + 0.956510i \(0.405779\pi\)
\(252\) 0.475153 + 0.603003i 0.0299318 + 0.0379856i
\(253\) 3.44506 + 9.62698i 0.216589 + 0.605243i
\(254\) −3.63161 6.29013i −0.227867 0.394678i
\(255\) −1.21045 + 4.98954i −0.0758013 + 0.312457i
\(256\) 6.70121 1.29155i 0.418825 0.0807220i
\(257\) −6.97921 3.59804i −0.435351 0.224439i 0.226597 0.973989i \(-0.427240\pi\)
−0.661948 + 0.749549i \(0.730270\pi\)
\(258\) 0.791187 + 5.50283i 0.0492572 + 0.342591i
\(259\) −17.0687 + 12.1795i −1.06060 + 0.756798i
\(260\) 0.427932 0.937041i 0.0265392 0.0581128i
\(261\) −7.36713 1.41990i −0.456014 0.0878895i
\(262\) −21.9844 17.2888i −1.35820 1.06810i
\(263\) 16.6161 + 1.58665i 1.02460 + 0.0978370i 0.593800 0.804613i \(-0.297627\pi\)
0.430795 + 0.902450i \(0.358233\pi\)
\(264\) 1.30061 + 5.36119i 0.0800471 + 0.329959i
\(265\) 27.7507 + 8.14835i 1.70471 + 0.500549i
\(266\) −14.8183 23.0086i −0.908566 1.41075i
\(267\) −1.00754 + 7.00758i −0.0616603 + 0.428857i
\(268\) −0.678450 0.130761i −0.0414429 0.00798747i
\(269\) −5.25270 7.37639i −0.320263 0.449747i 0.622790 0.782389i \(-0.285999\pi\)
−0.943053 + 0.332643i \(0.892060\pi\)
\(270\) −3.76963 + 1.94338i −0.229412 + 0.118270i
\(271\) 8.93876 7.02952i 0.542991 0.427013i −0.308621 0.951185i \(-0.599868\pi\)
0.851612 + 0.524172i \(0.175625\pi\)
\(272\) −6.92949 + 4.45332i −0.420162 + 0.270022i
\(273\) −2.53507 2.19236i −0.153430 0.132688i
\(274\) −21.2188 + 6.23042i −1.28188 + 0.376393i
\(275\) −3.04233 5.26947i −0.183460 0.317761i
\(276\) −1.36913 0.249060i −0.0824118 0.0149916i
\(277\) 4.90782 8.50059i 0.294882 0.510751i −0.680075 0.733142i \(-0.738053\pi\)
0.974958 + 0.222391i \(0.0713862\pi\)
\(278\) 10.2070 + 9.73239i 0.612178 + 0.583710i
\(279\) 3.24372 + 3.74345i 0.194196 + 0.224115i
\(280\) 3.64918 + 18.8356i 0.218080 + 1.12564i
\(281\) −1.19608 8.31891i −0.0713521 0.496265i −0.993891 0.110362i \(-0.964799\pi\)
0.922539 0.385903i \(-0.126110\pi\)
\(282\) −0.854515 + 17.9385i −0.0508856 + 1.06822i
\(283\) −11.6144 16.3101i −0.690403 0.969536i −0.999827 0.0186113i \(-0.994076\pi\)
0.309424 0.950924i \(-0.399864\pi\)
\(284\) −1.10180 3.18343i −0.0653796 0.188902i
\(285\) 17.7834 7.11942i 1.05340 0.421718i
\(286\) 1.69788 + 3.71784i 0.100398 + 0.219841i
\(287\) −3.95152 9.84278i −0.233251 0.581001i
\(288\) −1.56307 0.458960i −0.0921050 0.0270445i
\(289\) −7.91408 + 11.1138i −0.465534 + 0.653751i
\(290\) 25.0120 + 19.6696i 1.46875 + 1.15504i
\(291\) 2.03299 + 5.87395i 0.119176 + 0.344337i
\(292\) −0.812963 + 0.0776285i −0.0475750 + 0.00454287i
\(293\) −6.02280 3.87062i −0.351855 0.226124i 0.352759 0.935714i \(-0.385244\pi\)
−0.704614 + 0.709590i \(0.748880\pi\)
\(294\) −10.5473 0.986532i −0.615130 0.0575357i
\(295\) −21.7353 + 13.9684i −1.26548 + 0.813274i
\(296\) 6.70726 19.3794i 0.389852 1.12640i
\(297\) 0.502644 2.07193i 0.0291664 0.120225i
\(298\) 6.84967 11.8640i 0.396791 0.687262i
\(299\) 6.07491 0.0635217i 0.351321 0.00367355i
\(300\) 0.828122 0.0478116
\(301\) −7.92274 5.63020i −0.456659 0.324519i
\(302\) −15.6115 18.0166i −0.898340 1.03674i
\(303\) 9.67678 + 4.98873i 0.555917 + 0.286595i
\(304\) 28.5307 + 11.4220i 1.63635 + 0.655094i
\(305\) 2.47311 1.27498i 0.141610 0.0730050i
\(306\) 2.75993 0.263541i 0.157775 0.0150656i
\(307\) −4.78344 + 5.52039i −0.273006 + 0.315065i −0.875652 0.482943i \(-0.839568\pi\)
0.602646 + 0.798009i \(0.294113\pi\)
\(308\) 1.41829 + 0.817018i 0.0808144 + 0.0465539i
\(309\) 1.32047 + 2.89144i 0.0751192 + 0.164488i
\(310\) −4.95267 20.4152i −0.281293 1.15951i
\(311\) −7.29573 + 6.95646i −0.413703 + 0.394465i −0.868144 0.496312i \(-0.834687\pi\)
0.454442 + 0.890777i \(0.349839\pi\)
\(312\) 3.26299 + 0.311578i 0.184730 + 0.0176396i
\(313\) −28.7067 + 11.4924i −1.62260 + 0.649591i −0.991968 0.126492i \(-0.959628\pi\)
−0.630631 + 0.776083i \(0.717204\pi\)
\(314\) 7.89740 9.11409i 0.445676 0.514338i
\(315\) 2.08207 7.11636i 0.117311 0.400961i
\(316\) 0.0925888 + 0.0595032i 0.00520853 + 0.00334732i
\(317\) 11.1532 8.77094i 0.626424 0.492625i −0.253754 0.967269i \(-0.581665\pi\)
0.880178 + 0.474644i \(0.157423\pi\)
\(318\) −0.743129 15.6002i −0.0416726 0.874816i
\(319\) −15.7069 + 3.02726i −0.879417 + 0.169494i
\(320\) −13.2384 12.6228i −0.740047 0.705633i
\(321\) 15.5752 0.869326
\(322\) 15.5132 11.3162i 0.864518 0.630628i
\(323\) −12.5224 −0.696764
\(324\) 0.210005 + 0.200239i 0.0116669 + 0.0111244i
\(325\) −3.54996 + 0.684199i −0.196917 + 0.0379526i
\(326\) 1.61099 + 33.8189i 0.0892245 + 1.87305i
\(327\) 4.87171 3.83115i 0.269406 0.211863i
\(328\) 8.72633 + 5.60807i 0.481831 + 0.309654i
\(329\) −21.6887 22.7023i −1.19573 1.25162i
\(330\) −5.92132 + 6.83357i −0.325958 + 0.376176i
\(331\) 33.3178 13.3384i 1.83131 0.733146i 0.854360 0.519681i \(-0.173949\pi\)
0.976951 0.213465i \(-0.0684751\pi\)
\(332\) 0.592896 + 0.0566147i 0.0325394 + 0.00310713i
\(333\) −5.73587 + 5.46914i −0.314324 + 0.299707i
\(334\) 3.57776 + 14.7477i 0.195766 + 0.806959i
\(335\) 2.77213 + 6.07013i 0.151458 + 0.331646i
\(336\) 10.2962 5.95781i 0.561703 0.325025i
\(337\) 16.4753 19.0135i 0.897468 1.03573i −0.101695 0.994816i \(-0.532427\pi\)
0.999163 0.0409171i \(-0.0130280\pi\)
\(338\) −17.1667 + 1.63922i −0.933747 + 0.0891621i
\(339\) −6.03184 + 3.10963i −0.327605 + 0.168892i
\(340\) −1.38308 0.553703i −0.0750082 0.0300288i
\(341\) 9.38659 + 4.83912i 0.508312 + 0.262053i
\(342\) −6.77384 7.81742i −0.366287 0.422718i
\(343\) 13.9614 12.1688i 0.753844 0.657054i
\(344\) 9.50567 0.512511
\(345\) 5.71081 + 12.1666i 0.307460 + 0.655030i
\(346\) 17.3962 30.1312i 0.935227 1.61986i
\(347\) −1.09955 + 4.53240i −0.0590269 + 0.243312i −0.993680 0.112248i \(-0.964195\pi\)
0.934653 + 0.355560i \(0.115710\pi\)
\(348\) 0.712043 2.05731i 0.0381695 0.110283i
\(349\) −18.9671 + 12.1894i −1.01528 + 0.652484i −0.938756 0.344583i \(-0.888020\pi\)
−0.0765292 + 0.997067i \(0.524384\pi\)
\(350\) −7.87743 + 8.27765i −0.421066 + 0.442459i
\(351\) −1.06568 0.684870i −0.0568817 0.0365557i
\(352\) −3.45747 + 0.330149i −0.184284 + 0.0175970i
\(353\) 5.77440 + 16.6840i 0.307340 + 0.888001i 0.987870 + 0.155281i \(0.0496282\pi\)
−0.680530 + 0.732720i \(0.738251\pi\)
\(354\) 10.9668 + 8.62441i 0.582880 + 0.458382i
\(355\) −18.8725 + 26.5027i −1.00165 + 1.40661i
\(356\) −1.97107 0.578759i −0.104467 0.0306742i
\(357\) −2.99260 + 3.81300i −0.158385 + 0.201805i
\(358\) 8.37866 + 18.3467i 0.442826 + 0.969653i
\(359\) 12.9412 5.18088i 0.683012 0.273437i −0.00409669 0.999992i \(-0.501304\pi\)
0.687108 + 0.726555i \(0.258880\pi\)
\(360\) 2.37175 + 6.85272i 0.125002 + 0.361170i
\(361\) 16.0793 + 22.5802i 0.846277 + 1.18843i
\(362\) −1.18904 + 24.9609i −0.0624943 + 1.31192i
\(363\) 0.918567 + 6.38878i 0.0482123 + 0.335324i
\(364\) 0.734364 0.637576i 0.0384911 0.0334181i
\(365\) 5.16517 + 5.96092i 0.270357 + 0.312009i
\(366\) −1.08741 1.03684i −0.0568396 0.0541964i
\(367\) −14.4253 + 24.9853i −0.752994 + 1.30422i 0.193371 + 0.981126i \(0.438058\pi\)
−0.946365 + 0.323098i \(0.895276\pi\)
\(368\) −6.83903 + 20.4494i −0.356509 + 1.06600i
\(369\) −2.00441 3.47175i −0.104346 0.180732i
\(370\) 32.2507 9.46967i 1.67664 0.492304i
\(371\) 20.6528 + 17.8608i 1.07224 + 0.927286i
\(372\) −1.20912 + 0.777057i −0.0626901 + 0.0402885i
\(373\) −21.7199 + 17.0807i −1.12461 + 0.884405i −0.994252 0.107062i \(-0.965856\pi\)
−0.130360 + 0.991467i \(0.541613\pi\)
\(374\) 5.25390 2.70858i 0.271673 0.140057i
\(375\) 3.48864 + 4.89911i 0.180153 + 0.252989i
\(376\) 30.1516 + 5.81125i 1.55495 + 0.299693i
\(377\) −1.35260 + 9.40751i −0.0696622 + 0.484511i
\(378\) −3.99917 + 0.194386i −0.205695 + 0.00999814i
\(379\) −18.2486 5.35826i −0.937366 0.275235i −0.222848 0.974853i \(-0.571535\pi\)
−0.714517 + 0.699618i \(0.753354\pi\)
\(380\) 1.31043 + 5.40166i 0.0672236 + 0.277099i
\(381\) 4.77776 + 0.456220i 0.244772 + 0.0233729i
\(382\) −8.84919 6.95908i −0.452764 0.356057i
\(383\) −17.7936 3.42943i −0.909209 0.175236i −0.286857 0.957973i \(-0.592610\pi\)
−0.622352 + 0.782738i \(0.713823\pi\)
\(384\) −5.45672 + 11.9485i −0.278462 + 0.609747i
\(385\) −1.51791 15.7352i −0.0773600 0.801942i
\(386\) 4.86029 + 33.8040i 0.247382 + 1.72058i
\(387\) −3.26525 1.68335i −0.165982 0.0855697i
\(388\) −1.77104 + 0.341339i −0.0899108 + 0.0173289i
\(389\) 2.17495 8.96528i 0.110274 0.454558i −0.889724 0.456500i \(-0.849103\pi\)
0.999998 + 0.00194193i \(0.000618137\pi\)
\(390\) 2.68625 + 4.65273i 0.136024 + 0.235600i
\(391\) −0.509802 8.77135i −0.0257818 0.443586i
\(392\) −4.23615 + 17.6104i −0.213958 + 0.889462i
\(393\) 17.7326 5.20675i 0.894490 0.262646i
\(394\) 10.8639 31.3892i 0.547316 1.58137i
\(395\) −0.0505787 1.06178i −0.00254489 0.0534238i
\(396\) 0.574331 + 0.229927i 0.0288612 + 0.0115543i
\(397\) −0.0893762 + 1.87624i −0.00448566 + 0.0941656i −1.00000 0.000446225i \(-0.999858\pi\)
0.995514 + 0.0946118i \(0.0301610\pi\)
\(398\) −11.1768 + 24.4739i −0.560244 + 1.22676i
\(399\) 18.0646 + 0.842990i 0.904362 + 0.0422023i
\(400\) 1.82614 12.7011i 0.0913071 0.635055i
\(401\) 4.83246 6.78624i 0.241322 0.338889i −0.676097 0.736813i \(-0.736330\pi\)
0.917418 + 0.397924i \(0.130269\pi\)
\(402\) 2.60796 2.48668i 0.130073 0.124025i
\(403\) 4.54122 4.33005i 0.226214 0.215695i
\(404\) −1.83244 + 2.57330i −0.0911673 + 0.128027i
\(405\) 0.398836 2.77396i 0.0198183 0.137839i
\(406\) 13.7910 + 26.6873i 0.684436 + 1.32447i
\(407\) −7.01931 + 15.3701i −0.347934 + 0.761870i
\(408\) 0.225561 4.73511i 0.0111669 0.234423i
\(409\) 31.4251 + 12.5807i 1.55387 + 0.622076i 0.980377 0.197133i \(-0.0631632\pi\)
0.573494 + 0.819209i \(0.305587\pi\)
\(410\) 0.808978 + 16.9825i 0.0399526 + 0.838708i
\(411\) 4.77952 13.8095i 0.235756 0.681173i
\(412\) −0.884992 + 0.259857i −0.0436004 + 0.0128022i
\(413\) −24.1402 + 3.49470i −1.18786 + 0.171963i
\(414\) 5.19997 5.06302i 0.255565 0.248834i
\(415\) −2.87616 4.98166i −0.141185 0.244540i
\(416\) −0.486525 + 2.00548i −0.0238538 + 0.0983269i
\(417\) −9.15097 + 1.76370i −0.448125 + 0.0863690i
\(418\) −19.6019 10.1055i −0.958763 0.494277i
\(419\) 0.463152 + 3.22129i 0.0226264 + 0.157370i 0.998002 0.0631793i \(-0.0201240\pi\)
−0.975376 + 0.220550i \(0.929215\pi\)
\(420\) 1.95794 + 0.891872i 0.0955378 + 0.0435189i
\(421\) 8.30530 18.1861i 0.404776 0.886335i −0.591988 0.805947i \(-0.701657\pi\)
0.996764 0.0803881i \(-0.0256160\pi\)
\(422\) −16.9032 3.25783i −0.822835 0.158589i
\(423\) −9.32816 7.33574i −0.453551 0.356676i
\(424\) −26.5831 2.53837i −1.29099 0.123274i
\(425\) 1.23267 + 5.08114i 0.0597934 + 0.246472i
\(426\) 16.8574 + 4.94977i 0.816742 + 0.239817i
\(427\) 2.62371 0.127529i 0.126970 0.00617158i
\(428\) −0.643183 + 4.47344i −0.0310894 + 0.216232i
\(429\) −2.65199 0.511129i −0.128039 0.0246775i
\(430\) 9.03740 + 12.6913i 0.435822 + 0.612026i
\(431\) 11.2616 5.80574i 0.542451 0.279653i −0.165146 0.986269i \(-0.552810\pi\)
0.707597 + 0.706616i \(0.249779\pi\)
\(432\) 3.53420 2.77933i 0.170039 0.133721i
\(433\) −11.4489 + 7.35776i −0.550199 + 0.353591i −0.786016 0.618206i \(-0.787860\pi\)
0.235817 + 0.971797i \(0.424223\pi\)
\(434\) 3.73446 19.4777i 0.179260 0.934960i
\(435\) −20.1745 + 5.92378i −0.967296 + 0.284024i
\(436\) 0.899185 + 1.55743i 0.0430632 + 0.0745876i
\(437\) −25.5540 + 20.5319i −1.22241 + 0.982173i
\(438\) 2.12959 3.68855i 0.101756 0.176246i
\(439\) −23.4505 22.3600i −1.11923 1.06718i −0.997209 0.0746574i \(-0.976214\pi\)
−0.122022 0.992527i \(-0.538938\pi\)
\(440\) 10.1245 + 11.6843i 0.482665 + 0.557025i
\(441\) 4.57377 5.29912i 0.217799 0.252339i
\(442\) −0.499825 3.47636i −0.0237743 0.165354i
\(443\) 0.889688 18.6768i 0.0422703 0.887364i −0.873785 0.486312i \(-0.838342\pi\)
0.916056 0.401051i \(-0.131355\pi\)
\(444\) −1.33395 1.87327i −0.0633066 0.0889017i
\(445\) 6.48923 + 18.7494i 0.307619 + 0.888806i
\(446\) 33.5095 13.4152i 1.58672 0.635227i
\(447\) 3.76052 + 8.23440i 0.177867 + 0.389474i
\(448\) −6.43366 16.0255i −0.303962 0.757135i
\(449\) 19.9687 + 5.86333i 0.942380 + 0.276708i 0.716611 0.697473i \(-0.245692\pi\)
0.225769 + 0.974181i \(0.427511\pi\)
\(450\) −2.50524 + 3.51811i −0.118098 + 0.165845i
\(451\) −6.71833 5.28335i −0.316354 0.248783i
\(452\) −0.644045 1.86085i −0.0302933 0.0875268i
\(453\) 15.6816 1.49741i 0.736786 0.0703546i
\(454\) 5.76899 + 3.70750i 0.270752 + 0.174002i
\(455\) −9.13011 2.20558i −0.428026 0.103399i
\(456\) −14.8787 + 9.56198i −0.696761 + 0.447781i
\(457\) −3.21290 + 9.28306i −0.150293 + 0.434243i −0.994866 0.101197i \(-0.967733\pi\)
0.844573 + 0.535440i \(0.179854\pi\)
\(458\) 4.37139 18.0191i 0.204262 0.841978i
\(459\) −0.916020 + 1.58659i −0.0427561 + 0.0740558i
\(460\) −3.73027 + 1.13780i −0.173925 + 0.0530504i
\(461\) 2.66557 0.124148 0.0620740 0.998072i \(-0.480229\pi\)
0.0620740 + 0.998072i \(0.480229\pi\)
\(462\) −7.76155 + 3.55367i −0.361100 + 0.165332i
\(463\) −25.5438 29.4791i −1.18712 1.37001i −0.912819 0.408364i \(-0.866099\pi\)
−0.274300 0.961644i \(-0.588446\pi\)
\(464\) −29.9833 15.4575i −1.39194 0.717595i
\(465\) 12.8872 + 5.15925i 0.597629 + 0.239255i
\(466\) 0.763937 0.393837i 0.0353887 0.0182441i
\(467\) 33.8385 3.23118i 1.56586 0.149521i 0.724222 0.689567i \(-0.242199\pi\)
0.841636 + 0.540046i \(0.181593\pi\)
\(468\) 0.240712 0.277797i 0.0111269 0.0128412i
\(469\) 0.00610105 + 6.29995i 0.000281720 + 0.290905i
\(470\) 20.9076 + 45.7812i 0.964394 + 2.11173i
\(471\) 1.87875 + 7.74433i 0.0865684 + 0.356840i
\(472\) 17.2648 16.4619i 0.794677 0.757723i
\(473\) −7.79680 0.744504i −0.358497 0.0342324i
\(474\) −0.532888 + 0.213336i −0.0244763 + 0.00979885i
\(475\) 12.7745 14.7426i 0.586136 0.676438i
\(476\) −0.971568 1.01698i −0.0445317 0.0466131i
\(477\) 8.68192 + 5.57953i 0.397518 + 0.255469i
\(478\) −8.41929 + 6.62100i −0.385089 + 0.302838i
\(479\) −0.842189 17.6797i −0.0384806 0.807807i −0.932804 0.360385i \(-0.882645\pi\)
0.894323 0.447422i \(-0.147658\pi\)
\(480\) −4.48292 + 0.864013i −0.204616 + 0.0394366i
\(481\) 7.26605 + 6.92817i 0.331304 + 0.315897i
\(482\) −25.3897 −1.15647
\(483\) 0.144957 + 12.6877i 0.00659577 + 0.577313i
\(484\) −1.87288 −0.0851310
\(485\) 12.6073 + 12.0210i 0.572466 + 0.545845i
\(486\) −1.48598 + 0.286400i −0.0674055 + 0.0129914i
\(487\) −0.434109 9.11307i −0.0196714 0.412953i −0.987130 0.159922i \(-0.948876\pi\)
0.967458 0.253031i \(-0.0814273\pi\)
\(488\) −2.01938 + 1.58806i −0.0914130 + 0.0718880i
\(489\) −18.8211 12.0956i −0.851118 0.546980i
\(490\) −27.5396 + 11.0871i −1.24411 + 0.500866i
\(491\) 15.9457 18.4024i 0.719621 0.830486i −0.271641 0.962399i \(-0.587566\pi\)
0.991261 + 0.131912i \(0.0421117\pi\)
\(492\) 1.07991 0.432330i 0.0486861 0.0194910i
\(493\) 13.6830 + 1.30657i 0.616253 + 0.0588450i
\(494\) −9.48340 + 9.04240i −0.426678 + 0.406837i
\(495\) −1.40865 5.80655i −0.0633142 0.260985i
\(496\) 9.25158 + 20.2581i 0.415408 + 0.909617i
\(497\) −26.5859 + 15.3837i −1.19254 + 0.690053i
\(498\) −2.03415 + 2.34753i −0.0911523 + 0.105195i
\(499\) 1.89784 0.181222i 0.0849590 0.00811260i −0.0524900 0.998621i \(-0.516716\pi\)
0.137449 + 0.990509i \(0.456110\pi\)
\(500\) −1.55116 + 0.799679i −0.0693701 + 0.0357627i
\(501\) −9.30956 3.72699i −0.415921 0.166509i
\(502\) −0.443410 0.228594i −0.0197903 0.0102026i
\(503\) −23.3844 26.9870i −1.04266 1.20329i −0.978691 0.205339i \(-0.934170\pi\)
−0.0639664 0.997952i \(-0.520375\pi\)
\(504\) −0.644152 + 6.81562i −0.0286928 + 0.303592i
\(505\) 30.5108 1.35771
\(506\) 6.28042 14.1417i 0.279199 0.628674i
\(507\) 5.69764 9.86860i 0.253041 0.438280i
\(508\) −0.328332 + 1.35340i −0.0145674 + 0.0600475i
\(509\) −8.24749 + 23.8296i −0.365564 + 1.05623i 0.600878 + 0.799341i \(0.294818\pi\)
−0.966442 + 0.256886i \(0.917303\pi\)
\(510\) 6.53641 4.20070i 0.289437 0.186010i
\(511\) 2.10479 + 7.14264i 0.0931102 + 0.315972i
\(512\) 13.4124 + 8.61965i 0.592751 + 0.380938i
\(513\) 6.80426 0.649728i 0.300416 0.0286862i
\(514\) 3.88648 + 11.2293i 0.171425 + 0.495301i
\(515\) 7.00235 + 5.50671i 0.308560 + 0.242654i
\(516\) 0.618323 0.868314i 0.0272202 0.0382254i
\(517\) −24.2760 7.12809i −1.06766 0.313493i
\(518\) 31.4138 + 4.48557i 1.38024 + 0.197085i
\(519\) 9.55067 + 20.9130i 0.419228 + 0.917981i
\(520\) 8.52806 3.41412i 0.373980 0.149719i
\(521\) −8.47465 24.4859i −0.371281 1.07275i −0.963670 0.267094i \(-0.913936\pi\)
0.592389 0.805652i \(-0.298185\pi\)
\(522\) 6.58601 + 9.24876i 0.288262 + 0.404807i
\(523\) 0.139751 2.93373i 0.00611088 0.128283i −0.993750 0.111625i \(-0.964394\pi\)
0.999861 0.0166578i \(-0.00530260\pi\)
\(524\) 0.763185 + 5.30807i 0.0333399 + 0.231884i
\(525\) −1.43618 7.41297i −0.0626800 0.323529i
\(526\) −16.5418 19.0903i −0.721259 0.832377i
\(527\) −6.56762 6.26221i −0.286090 0.272786i
\(528\) 4.79294 8.30161i 0.208586 0.361281i
\(529\) −15.4220 17.0635i −0.670521 0.741891i
\(530\) −21.8845 37.9050i −0.950601 1.64649i
\(531\) −8.84580 + 2.59736i −0.383875 + 0.112716i
\(532\) −0.988102 + 5.15361i −0.0428396 + 0.223437i
\(533\) −4.27212 + 2.74553i −0.185046 + 0.118922i
\(534\) 8.42164 6.62285i 0.364440 0.286599i
\(535\) 38.7972 20.0013i 1.67735 0.864733i
\(536\) −3.57393 5.01888i −0.154370 0.216783i
\(537\) −13.0869 2.52230i −0.564744 0.108845i
\(538\) −1.95028 + 13.5645i −0.0840824 + 0.584806i
\(539\) 4.85389 14.1128i 0.209072 0.607881i
\(540\) 0.780253 + 0.229103i 0.0335767 + 0.00985902i
\(541\) 1.65129 + 6.80673i 0.0709947 + 0.292644i 0.996230 0.0867492i \(-0.0276479\pi\)
−0.925235 + 0.379393i \(0.876133\pi\)
\(542\) −17.1312 1.63583i −0.735849 0.0702650i
\(543\) −12.9799 10.2075i −0.557020 0.438046i
\(544\) 2.93057 + 0.564822i 0.125647 + 0.0242165i
\(545\) 7.21532 15.7993i 0.309070 0.676769i
\(546\) 0.487017 + 5.04860i 0.0208424 + 0.216060i
\(547\) 3.82364 + 26.5940i 0.163487 + 1.13708i 0.891997 + 0.452042i \(0.149304\pi\)
−0.728510 + 0.685036i \(0.759787\pi\)
\(548\) 3.76892 + 1.94302i 0.161000 + 0.0830015i
\(549\) 0.974897 0.187896i 0.0416076 0.00801921i
\(550\) −2.17089 + 8.94855i −0.0925672 + 0.381567i
\(551\) −25.6413 44.4121i −1.09236 1.89202i
\(552\) −7.30346 10.0326i −0.310856 0.427015i
\(553\) 0.372073 0.932007i 0.0158221 0.0396330i
\(554\) −14.2526 + 4.18494i −0.605535 + 0.177801i
\(555\) −7.26444 + 20.9892i −0.308358 + 0.890942i
\(556\) −0.128670 2.70112i −0.00545684 0.114553i
\(557\) −37.1635 14.8780i −1.57467 0.630402i −0.590404 0.807108i \(-0.701032\pi\)
−0.984264 + 0.176706i \(0.943456\pi\)
\(558\) 0.356673 7.48748i 0.0150992 0.316970i
\(559\) −1.93320 + 4.23312i −0.0817657 + 0.179042i
\(560\) 17.9964 28.0627i 0.760488 1.18587i
\(561\) −0.555875 + 3.86620i −0.0234691 + 0.163231i
\(562\) −7.37758 + 10.3604i −0.311204 + 0.437025i
\(563\) −5.73480 + 5.46812i −0.241693 + 0.230454i −0.801237 0.598346i \(-0.795825\pi\)
0.559544 + 0.828800i \(0.310976\pi\)
\(564\) 2.49214 2.37625i 0.104938 0.100058i
\(565\) −11.0317 + 15.4919i −0.464108 + 0.651748i
\(566\) −4.31230 + 29.9927i −0.181260 + 1.26069i
\(567\) 1.42825 2.22713i 0.0599807 0.0935307i
\(568\) 12.4791 27.3254i 0.523611 1.14655i
\(569\) −0.502184 + 10.5421i −0.0210526 + 0.441949i 0.963592 + 0.267378i \(0.0861571\pi\)
−0.984644 + 0.174572i \(0.944146\pi\)
\(570\) −26.9122 10.7740i −1.12723 0.451274i
\(571\) −0.124877 2.62149i −0.00522593 0.109706i −0.999973 0.00734278i \(-0.997663\pi\)
0.994747 0.102363i \(-0.0326403\pi\)
\(572\) 0.256318 0.740582i 0.0107172 0.0309653i
\(573\) 7.13772 2.09582i 0.298183 0.0875543i
\(574\) −5.95109 + 14.9069i −0.248394 + 0.622204i
\(575\) 10.8466 + 8.34779i 0.452334 + 0.348127i
\(576\) −3.26348 5.65252i −0.135979 0.235522i
\(577\) −6.48070 + 26.7138i −0.269795 + 1.11211i 0.662109 + 0.749407i \(0.269661\pi\)
−0.931905 + 0.362704i \(0.881854\pi\)
\(578\) 20.2742 3.90753i 0.843295 0.162532i
\(579\) −20.0586 10.3409i −0.833605 0.429753i
\(580\) −0.868284 6.03905i −0.0360535 0.250758i
\(581\) −0.521447 5.40552i −0.0216333 0.224259i
\(582\) 3.90763 8.55652i 0.161977 0.354679i
\(583\) 21.6053 + 4.16409i 0.894801 + 0.172459i
\(584\) −5.72441 4.50173i −0.236878 0.186283i
\(585\) −3.53405 0.337460i −0.146115 0.0139523i
\(586\) 2.55431 + 10.5290i 0.105517 + 0.434949i
\(587\) 8.42993 + 2.47525i 0.347941 + 0.102165i 0.451033 0.892507i \(-0.351056\pi\)
−0.103093 + 0.994672i \(0.532874\pi\)
\(588\) 1.33311 + 1.53248i 0.0549765 + 0.0631985i
\(589\) −4.81833 + 33.5122i −0.198536 + 1.38085i
\(590\) 38.3931 + 7.39965i 1.58062 + 0.304639i
\(591\) 12.7317 + 17.8791i 0.523711 + 0.735449i
\(592\) −31.6724 + 16.3283i −1.30173 + 0.671088i
\(593\) 19.4665 15.3086i 0.799395 0.628651i −0.132581 0.991172i \(-0.542326\pi\)
0.931975 + 0.362521i \(0.118084\pi\)
\(594\) −2.71427 + 1.74435i −0.111368 + 0.0715717i
\(595\) −2.55787 + 13.3410i −0.104862 + 0.546928i
\(596\) −2.52033 + 0.740036i −0.103237 + 0.0303131i
\(597\) −8.88941 15.3969i −0.363819 0.630154i
\(598\) −6.71987 6.27456i −0.274796 0.256586i
\(599\) −12.5408 + 21.7214i −0.512405 + 0.887511i 0.487492 + 0.873128i \(0.337912\pi\)
−0.999897 + 0.0143838i \(0.995421\pi\)
\(600\) 5.34454 + 5.09601i 0.218190 + 0.208044i
\(601\) −4.20583 4.85378i −0.171559 0.197990i 0.663458 0.748213i \(-0.269088\pi\)
−0.835017 + 0.550223i \(0.814543\pi\)
\(602\) 2.79765 + 14.4403i 0.114024 + 0.588543i
\(603\) 0.338874 + 2.35692i 0.0138000 + 0.0959812i
\(604\) −0.217497 + 4.56582i −0.00884983 + 0.185781i
\(605\) 10.4924 + 14.7345i 0.426577 + 0.599044i
\(606\) −5.38867 15.5695i −0.218900 0.632469i
\(607\) −25.8616 + 10.3534i −1.04969 + 0.420232i −0.831413 0.555655i \(-0.812468\pi\)
−0.218276 + 0.975887i \(0.570043\pi\)
\(608\) −4.62564 10.1287i −0.187594 0.410775i
\(609\) −19.6510 2.80596i −0.796298 0.113703i
\(610\) −4.04016 1.18630i −0.163581 0.0480317i
\(611\) −8.71995 + 12.2455i −0.352771 + 0.495398i
\(612\) −0.417865 0.328613i −0.0168912 0.0132834i
\(613\) 8.48575 + 24.5180i 0.342736 + 0.990271i 0.976270 + 0.216556i \(0.0694825\pi\)
−0.633534 + 0.773715i \(0.718396\pi\)
\(614\) 11.0041 1.05076i 0.444089 0.0424054i
\(615\) −9.45122 6.07393i −0.381110 0.244925i
\(616\) 4.12568 + 14.0006i 0.166228 + 0.564100i
\(617\) 39.2982 25.2554i 1.58209 1.01674i 0.607058 0.794657i \(-0.292349\pi\)
0.975027 0.222087i \(-0.0712869\pi\)
\(618\) 1.57333 4.54584i 0.0632886 0.182860i
\(619\) −5.82860 + 24.0258i −0.234271 + 0.965679i 0.726241 + 0.687440i \(0.241266\pi\)
−0.960512 + 0.278239i \(0.910249\pi\)
\(620\) −2.01399 + 3.48834i −0.0808838 + 0.140095i
\(621\) 0.732115 + 4.73962i 0.0293788 + 0.190194i
\(622\) 15.2554 0.611685
\(623\) −1.76243 + 18.6479i −0.0706104 + 0.747111i
\(624\) −3.72982 4.30444i −0.149312 0.172316i
\(625\) 27.6648 + 14.2622i 1.10659 + 0.570487i
\(626\) 43.4427 + 17.3918i 1.73632 + 0.695118i
\(627\) 12.9529 6.67766i 0.517287 0.266680i
\(628\) −2.30187 + 0.219802i −0.0918545 + 0.00877104i
\(629\) 9.50833 10.9732i 0.379122 0.437530i
\(630\) −9.71212 + 5.61984i −0.386940 + 0.223900i
\(631\) −11.4313 25.0310i −0.455072 0.996468i −0.988583 0.150675i \(-0.951855\pi\)
0.533511 0.845793i \(-0.320872\pi\)
\(632\) 0.231386 + 0.953786i 0.00920404 + 0.0379396i
\(633\) 8.23255 7.84972i 0.327215 0.311999i
\(634\) −21.3751 2.04108i −0.848915 0.0810615i
\(635\) 12.4870 4.99905i 0.495532 0.198381i
\(636\) −1.96104 + 2.26317i −0.0777605 + 0.0897404i
\(637\) −6.98087 5.46797i −0.276592 0.216649i
\(638\) 20.3644 + 13.0874i 0.806233 + 0.518135i
\(639\) −9.12569 + 7.17653i −0.361007 + 0.283899i
\(640\) 1.75160 + 36.7706i 0.0692381 + 1.45349i
\(641\) −27.7237 + 5.34331i −1.09502 + 0.211048i −0.704612 0.709593i \(-0.748879\pi\)
−0.390410 + 0.920641i \(0.627667\pi\)
\(642\) −17.0588 16.2655i −0.673256 0.641948i
\(643\) 2.91487 0.114951 0.0574756 0.998347i \(-0.481695\pi\)
0.0574756 + 0.998347i \(0.481695\pi\)
\(644\) −3.65009 0.482310i −0.143834 0.0190057i
\(645\) −10.2953 −0.405377
\(646\) 13.7151 + 13.0773i 0.539614 + 0.514521i
\(647\) −32.1751 + 6.20125i −1.26494 + 0.243796i −0.777233 0.629214i \(-0.783377\pi\)
−0.487703 + 0.873010i \(0.662165\pi\)
\(648\) 0.123120 + 2.58461i 0.00483661 + 0.101533i
\(649\) −15.4504 + 12.1503i −0.606481 + 0.476942i
\(650\) 4.60261 + 2.95792i 0.180529 + 0.116019i
\(651\) 9.05280 + 9.47591i 0.354807 + 0.371390i
\(652\) 4.25124 4.90620i 0.166492 0.192142i
\(653\) 10.0890 4.03904i 0.394815 0.158060i −0.165755 0.986167i \(-0.553006\pi\)
0.560570 + 0.828107i \(0.310582\pi\)
\(654\) −9.33667 0.891544i −0.365093 0.0348621i
\(655\) 37.4846 35.7415i 1.46464 1.39654i
\(656\) −4.24938 17.5162i −0.165910 0.683892i
\(657\) 1.16916 + 2.56010i 0.0456133 + 0.0998792i
\(658\) 0.0460145 + 47.5145i 0.00179383 + 1.85231i
\(659\) 4.32859 4.99546i 0.168618 0.194595i −0.665151 0.746709i \(-0.731633\pi\)
0.833769 + 0.552113i \(0.186178\pi\)
\(660\) 1.72590 0.164803i 0.0671804 0.00641495i
\(661\) 12.0460 6.21015i 0.468536 0.241547i −0.207756 0.978181i \(-0.566616\pi\)
0.676292 + 0.736634i \(0.263586\pi\)
\(662\) −50.4208 20.1854i −1.95966 0.784530i
\(663\) 2.06279 + 1.06344i 0.0801122 + 0.0413007i
\(664\) 3.47805 + 4.01388i 0.134974 + 0.155769i
\(665\) 46.0806 21.0983i 1.78693 0.818156i
\(666\) 11.9937 0.464747
\(667\) 30.0647 19.7686i 1.16411 0.765444i
\(668\) 1.45489 2.51994i 0.0562912 0.0974992i
\(669\) −5.62318 + 23.1791i −0.217405 + 0.896155i
\(670\) 3.30296 9.54328i 0.127605 0.368689i
\(671\) 1.78073 1.14441i 0.0687443 0.0441793i
\(672\) −4.18958 1.01209i −0.161617 0.0390421i
\(673\) 12.0829 + 7.76520i 0.465761 + 0.299327i 0.752393 0.658714i \(-0.228899\pi\)
−0.286632 + 0.958041i \(0.592536\pi\)
\(674\) −37.9007 + 3.61908i −1.45988 + 0.139402i
\(675\) −0.933432 2.69697i −0.0359278 0.103807i
\(676\) 2.59912 + 2.04397i 0.0999662 + 0.0786143i
\(677\) 16.0398 22.5248i 0.616461 0.865698i −0.381825 0.924235i \(-0.624704\pi\)
0.998285 + 0.0585369i \(0.0186435\pi\)
\(678\) 9.85381 + 2.89334i 0.378433 + 0.111118i
\(679\) 6.12695 + 15.2615i 0.235131 + 0.585684i
\(680\) −5.51884 12.0846i −0.211638 0.463422i
\(681\) −4.20687 + 1.68418i −0.161208 + 0.0645378i
\(682\) −5.22707 15.1026i −0.200155 0.578309i
\(683\) 7.33417 + 10.2994i 0.280634 + 0.394095i 0.930701 0.365782i \(-0.119198\pi\)
−0.650067 + 0.759877i \(0.725259\pi\)
\(684\) −0.0943721 + 1.98111i −0.00360841 + 0.0757498i
\(685\) −5.82828 40.5366i −0.222687 1.54882i
\(686\) −27.9993 1.25225i −1.06902 0.0478111i
\(687\) 8.02355 + 9.25968i 0.306118 + 0.353279i
\(688\) −11.9540 11.3981i −0.455743 0.434550i
\(689\) 6.53669 11.3219i 0.249028 0.431330i
\(690\) 6.45108 19.2894i 0.245588 0.734335i
\(691\) −22.6761 39.2762i −0.862641 1.49414i −0.869370 0.494161i \(-0.835475\pi\)
0.00672880 0.999977i \(-0.497858\pi\)
\(692\) −6.40093 + 1.87948i −0.243327 + 0.0714472i
\(693\) 1.06217 5.53990i 0.0403483 0.210443i
\(694\) 5.93755 3.81583i 0.225386 0.144847i
\(695\) −20.5297 + 16.1447i −0.778736 + 0.612405i
\(696\) 17.2555 8.89581i 0.654067 0.337195i
\(697\) 4.26013 + 5.98252i 0.161364 + 0.226604i
\(698\) 33.5033 + 6.45723i 1.26812 + 0.244410i
\(699\) −0.0808262 + 0.562159i −0.00305713 + 0.0212628i
\(700\) 2.18842 0.106372i 0.0827145 0.00402047i
\(701\) −45.6270 13.3973i −1.72331 0.506009i −0.737710 0.675118i \(-0.764093\pi\)
−0.985597 + 0.169109i \(0.945911\pi\)
\(702\) 0.451961 + 1.86301i 0.0170582 + 0.0703148i
\(703\) −53.9264 5.14934i −2.03387 0.194211i
\(704\) −10.9384 8.60209i −0.412258 0.324203i
\(705\) −32.6564 6.29400i −1.22991 0.237046i
\(706\) 11.0990 24.3034i 0.417717 0.914672i
\(707\) 26.2130 + 11.9404i 0.985840 + 0.449065i
\(708\) −0.380711 2.64790i −0.0143080 0.0995142i
\(709\) 19.8602 + 10.2386i 0.745865 + 0.384520i 0.788874 0.614555i \(-0.210664\pi\)
−0.0430093 + 0.999075i \(0.513695\pi\)
\(710\) 48.3472 9.31816i 1.81444 0.349704i
\(711\) 0.0894232 0.368607i 0.00335363 0.0138239i
\(712\) −9.15943 15.8646i −0.343264 0.594551i
\(713\) −23.6699 2.01069i −0.886446 0.0753011i
\(714\) 7.25962 1.05095i 0.271684 0.0393309i
\(715\) −7.26235 + 2.13242i −0.271596 + 0.0797479i
\(716\) 1.26487 3.65460i 0.0472704 0.136579i
\(717\) −0.336769 7.06965i −0.0125769 0.264021i
\(718\) −19.5843 7.84039i −0.730881 0.292601i
\(719\) −1.30457 + 27.3863i −0.0486523 + 1.02134i 0.834133 + 0.551563i \(0.185968\pi\)
−0.882786 + 0.469776i \(0.844335\pi\)
\(720\) 5.23438 11.4617i 0.195074 0.427152i
\(721\) 3.86093 + 7.47139i 0.143789 + 0.278249i
\(722\) 5.97007 41.5227i 0.222183 1.54532i
\(723\) 9.73183 13.6664i 0.361931 0.508261i
\(724\) 3.46775 3.30649i 0.128878 0.122885i
\(725\) −15.4968 + 14.7762i −0.575536 + 0.548773i
\(726\) 5.66585 7.95657i 0.210279 0.295296i
\(727\) 4.53197 31.5206i 0.168082 1.16903i −0.714762 0.699367i \(-0.753465\pi\)
0.882844 0.469666i \(-0.155626\pi\)
\(728\) 8.66290 + 0.404257i 0.321068 + 0.0149827i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 0.567951 11.9228i 0.0210208 0.441281i
\(731\) 6.24814 + 2.50138i 0.231096 + 0.0925167i
\(732\) 0.0137079 + 0.287764i 0.000506658 + 0.0106361i
\(733\) 0.756475 2.18569i 0.0279410 0.0807303i −0.930168 0.367135i \(-0.880339\pi\)
0.958109 + 0.286404i \(0.0924600\pi\)
\(734\) 41.8919 12.3006i 1.54626 0.454022i
\(735\) 4.58805 19.0734i 0.169233 0.703531i
\(736\) 6.90640 3.65240i 0.254573 0.134629i
\(737\) 2.53834 + 4.39654i 0.0935011 + 0.161949i
\(738\) −1.43027 + 5.89567i −0.0526491 + 0.217023i
\(739\) 0.0975545 0.0188021i 0.00358860 0.000691646i −0.187457 0.982273i \(-0.560024\pi\)
0.191045 + 0.981581i \(0.438812\pi\)
\(740\) −5.72842 2.95321i −0.210581 0.108562i
\(741\) −1.23226 8.57054i −0.0452681 0.314847i
\(742\) −3.96765 41.1301i −0.145657 1.50993i
\(743\) 1.46978 3.21837i 0.0539210 0.118071i −0.880754 0.473574i \(-0.842963\pi\)
0.934675 + 0.355504i \(0.115691\pi\)
\(744\) −12.5852 2.42560i −0.461397 0.0889270i
\(745\) 19.9417 + 15.6823i 0.730607 + 0.574555i
\(746\) 41.6263 + 3.97483i 1.52405 + 0.145529i
\(747\) −0.483913 1.99472i −0.0177055 0.0729829i
\(748\) −1.08747 0.319311i −0.0397620 0.0116752i
\(749\) 41.1596 2.00063i 1.50394 0.0731013i
\(750\) 1.29530 9.00900i 0.0472976 0.328962i
\(751\) 13.9205 + 2.68296i 0.507967 + 0.0979026i 0.436794 0.899561i \(-0.356114\pi\)
0.0711727 + 0.997464i \(0.477326\pi\)
\(752\) −30.9495 43.4626i −1.12861 1.58492i
\(753\) 0.293003 0.151053i 0.0106776 0.00550469i
\(754\) 11.3059 8.89102i 0.411735 0.323792i
\(755\) 37.1392 23.8679i 1.35163 0.868642i
\(756\) 0.580685 + 0.502183i 0.0211193 + 0.0182642i
\(757\) −4.44349 + 1.30473i −0.161501 + 0.0474211i −0.361484 0.932378i \(-0.617730\pi\)
0.199982 + 0.979800i \(0.435912\pi\)
\(758\) 14.3910 + 24.9259i 0.522704 + 0.905350i
\(759\) 5.20472 + 8.80102i 0.188919 + 0.319457i
\(760\) −24.7829 + 42.9253i −0.898972 + 1.55706i
\(761\) 0.118904 + 0.113374i 0.00431026 + 0.00410982i 0.692231 0.721676i \(-0.256628\pi\)
−0.687921 + 0.725786i \(0.741476\pi\)
\(762\) −4.75639 5.48917i −0.172306 0.198852i
\(763\) 12.3820 10.7501i 0.448259 0.389180i
\(764\) 0.307198 + 2.13661i 0.0111140 + 0.0772997i
\(765\) −0.244298 + 5.12845i −0.00883263 + 0.185420i
\(766\) 15.9070 + 22.3382i 0.574742 + 0.807112i
\(767\) 3.81973 + 11.0364i 0.137922 + 0.398501i
\(768\) 6.33568 2.53642i 0.228619 0.0915253i
\(769\) −17.1161 37.4791i −0.617224 1.35153i −0.917522 0.397686i \(-0.869813\pi\)
0.300298 0.953846i \(-0.402914\pi\)
\(770\) −14.7701 + 18.8192i −0.532277 + 0.678196i