Properties

Label 384.2.w.a.155.10
Level $384$
Weight $2$
Character 384.155
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 155.10
Character \(\chi\) \(=\) 384.155
Dual form 384.2.w.a.275.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.22228 + 0.711353i) q^{2} +(0.885840 - 1.48838i) q^{3} +(0.987954 - 1.73895i) q^{4} +(1.29917 - 1.06620i) q^{5} +(-0.0239808 + 2.44937i) q^{6} +(-1.87737 - 2.80968i) q^{7} +(0.0294477 + 2.82827i) q^{8} +(-1.43058 - 2.63694i) q^{9} +O(q^{10})\) \(q+(-1.22228 + 0.711353i) q^{2} +(0.885840 - 1.48838i) q^{3} +(0.987954 - 1.73895i) q^{4} +(1.29917 - 1.06620i) q^{5} +(-0.0239808 + 2.44937i) q^{6} +(-1.87737 - 2.80968i) q^{7} +(0.0294477 + 2.82827i) q^{8} +(-1.43058 - 2.63694i) q^{9} +(-0.829506 + 2.22736i) q^{10} +(1.89823 - 0.575822i) q^{11} +(-1.71306 - 3.01089i) q^{12} +(-1.57868 - 1.29559i) q^{13} +(4.29335 + 2.09875i) q^{14} +(-0.436059 - 2.87814i) q^{15} +(-2.04789 - 3.43600i) q^{16} +(1.97199 + 4.76080i) q^{17} +(3.62436 + 2.20544i) q^{18} +(-6.12255 + 0.603019i) q^{19} +(-0.570549 - 3.31254i) q^{20} +(-5.84492 + 0.305318i) q^{21} +(-1.91056 + 2.05413i) q^{22} +(0.931034 - 0.185194i) q^{23} +(4.23564 + 2.46157i) q^{24} +(-0.424397 + 2.13359i) q^{25} +(2.85121 + 0.460578i) q^{26} +(-5.19204 - 0.206660i) q^{27} +(-6.74064 + 0.488815i) q^{28} +(-6.17442 - 1.87299i) q^{29} +(2.58036 + 3.20771i) q^{30} +(6.66710 - 6.66710i) q^{31} +(4.94732 + 2.74300i) q^{32} +(0.824484 - 3.33538i) q^{33} +(-5.79694 - 4.41627i) q^{34} +(-5.43468 - 1.64859i) q^{35} +(-5.99885 - 0.117476i) q^{36} +(10.3399 + 1.01839i) q^{37} +(7.05454 - 5.09236i) q^{38} +(-3.32679 + 1.20200i) q^{39} +(3.05376 + 3.64300i) q^{40} +(0.0648898 - 0.0129074i) q^{41} +(6.92697 - 4.53099i) q^{42} +(3.83013 - 7.16566i) q^{43} +(0.874038 - 3.86981i) q^{44} +(-4.67006 - 1.90055i) q^{45} +(-1.00625 + 0.888654i) q^{46} +(-0.424005 - 1.02364i) q^{47} +(-6.92820 + 0.00430422i) q^{48} +(-1.69100 + 4.08243i) q^{49} +(-0.999002 - 2.90975i) q^{50} +(8.83277 + 1.28223i) q^{51} +(-3.81262 + 1.46526i) q^{52} +(11.1198 - 3.37315i) q^{53} +(6.49315 - 3.44078i) q^{54} +(1.85218 - 2.77198i) q^{55} +(7.89125 - 5.39244i) q^{56} +(-4.52608 + 9.64689i) q^{57} +(8.87925 - 2.10287i) q^{58} +(-3.82732 + 3.14100i) q^{59} +(-5.43575 - 2.08518i) q^{60} +(1.52818 + 2.85902i) q^{61} +(-3.40642 + 12.8917i) q^{62} +(-4.72324 + 8.96996i) q^{63} +(-7.99827 + 0.166572i) q^{64} -3.43232 q^{65} +(1.36488 + 4.66328i) q^{66} +(5.71053 - 3.05234i) q^{67} +(10.2270 + 1.27426i) q^{68} +(0.549107 - 1.54979i) q^{69} +(7.81545 - 1.85093i) q^{70} +(-2.87195 - 4.29817i) q^{71} +(7.41586 - 4.12371i) q^{72} +(-5.34911 - 3.57416i) q^{73} +(-13.3627 + 6.11055i) q^{74} +(2.79965 + 2.52169i) q^{75} +(-5.00018 + 11.2426i) q^{76} +(-5.18155 - 4.25238i) q^{77} +(3.21123 - 3.83570i) q^{78} +(1.90343 + 0.788429i) q^{79} +(-6.32402 - 2.28048i) q^{80} +(-4.90691 + 7.54468i) q^{81} +(-0.0701320 + 0.0619360i) q^{82} +(13.7421 - 1.35347i) q^{83} +(-5.24358 + 10.4657i) q^{84} +(7.63790 + 4.08254i) q^{85} +(0.415815 + 11.4830i) q^{86} +(-8.25728 + 7.53074i) q^{87} +(1.68448 + 5.35176i) q^{88} +(-2.14297 + 10.7734i) q^{89} +(7.06009 - 0.999052i) q^{90} +(-0.676426 + 6.86787i) q^{91} +(0.597775 - 1.80199i) q^{92} +(-4.01722 - 15.8292i) q^{93} +(1.24642 + 0.949560i) q^{94} +(-7.31127 + 7.31127i) q^{95} +(8.46516 - 4.93366i) q^{96} +(5.47640 + 5.47640i) q^{97} +(-0.837169 - 6.19278i) q^{98} +(-4.23397 - 4.18176i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.22228 + 0.711353i −0.864285 + 0.503003i
\(3\) 0.885840 1.48838i 0.511440 0.859319i
\(4\) 0.987954 1.73895i 0.493977 0.869475i
\(5\) 1.29917 1.06620i 0.581005 0.476818i −0.297389 0.954756i \(-0.596116\pi\)
0.878393 + 0.477938i \(0.158616\pi\)
\(6\) −0.0239808 + 2.44937i −0.00979011 + 0.999952i
\(7\) −1.87737 2.80968i −0.709578 1.06196i −0.994635 0.103448i \(-0.967013\pi\)
0.285057 0.958510i \(-0.407987\pi\)
\(8\) 0.0294477 + 2.82827i 0.0104113 + 0.999946i
\(9\) −1.43058 2.63694i −0.476859 0.878980i
\(10\) −0.829506 + 2.22736i −0.262313 + 0.704354i
\(11\) 1.89823 0.575822i 0.572338 0.173617i 0.00916808 0.999958i \(-0.497082\pi\)
0.563170 + 0.826341i \(0.309582\pi\)
\(12\) −1.71306 3.01089i −0.494517 0.869168i
\(13\) −1.57868 1.29559i −0.437846 0.359331i 0.389497 0.921028i \(-0.372649\pi\)
−0.827343 + 0.561696i \(0.810149\pi\)
\(14\) 4.29335 + 2.09875i 1.14744 + 0.560915i
\(15\) −0.436059 2.87814i −0.112590 0.743132i
\(16\) −2.04789 3.43600i −0.511974 0.859001i
\(17\) 1.97199 + 4.76080i 0.478278 + 1.15466i 0.960416 + 0.278569i \(0.0898602\pi\)
−0.482138 + 0.876095i \(0.660140\pi\)
\(18\) 3.62436 + 2.20544i 0.854271 + 0.519828i
\(19\) −6.12255 + 0.603019i −1.40461 + 0.138342i −0.771751 0.635925i \(-0.780619\pi\)
−0.632859 + 0.774267i \(0.718119\pi\)
\(20\) −0.570549 3.31254i −0.127579 0.740706i
\(21\) −5.84492 + 0.305318i −1.27547 + 0.0666259i
\(22\) −1.91056 + 2.05413i −0.407333 + 0.437942i
\(23\) 0.931034 0.185194i 0.194134 0.0386157i −0.0970655 0.995278i \(-0.530946\pi\)
0.291200 + 0.956662i \(0.405946\pi\)
\(24\) 4.23564 + 2.46157i 0.864597 + 0.502465i
\(25\) −0.424397 + 2.13359i −0.0848795 + 0.426718i
\(26\) 2.85121 + 0.460578i 0.559169 + 0.0903268i
\(27\) −5.19204 0.206660i −0.999209 0.0397718i
\(28\) −6.74064 + 0.488815i −1.27386 + 0.0923773i
\(29\) −6.17442 1.87299i −1.14656 0.347806i −0.340852 0.940117i \(-0.610716\pi\)
−0.805709 + 0.592311i \(0.798216\pi\)
\(30\) 2.58036 + 3.20771i 0.471107 + 0.585645i
\(31\) 6.66710 6.66710i 1.19745 1.19745i 0.222517 0.974929i \(-0.428573\pi\)
0.974929 0.222517i \(-0.0714273\pi\)
\(32\) 4.94732 + 2.74300i 0.874571 + 0.484898i
\(33\) 0.824484 3.33538i 0.143524 0.580615i
\(34\) −5.79694 4.41627i −0.994167 0.757384i
\(35\) −5.43468 1.64859i −0.918629 0.278663i
\(36\) −5.99885 0.117476i −0.999808 0.0195793i
\(37\) 10.3399 + 1.01839i 1.69987 + 0.167422i 0.900922 0.433981i \(-0.142892\pi\)
0.798945 + 0.601404i \(0.205392\pi\)
\(38\) 7.05454 5.09236i 1.14440 0.826089i
\(39\) −3.32679 + 1.20200i −0.532712 + 0.192473i
\(40\) 3.05376 + 3.64300i 0.482841 + 0.576009i
\(41\) 0.0648898 0.0129074i 0.0101341 0.00201579i −0.190021 0.981780i \(-0.560856\pi\)
0.200155 + 0.979764i \(0.435856\pi\)
\(42\) 6.92697 4.53099i 1.06885 0.699147i
\(43\) 3.83013 7.16566i 0.584089 1.09275i −0.400240 0.916410i \(-0.631073\pi\)
0.984329 0.176343i \(-0.0564267\pi\)
\(44\) 0.874038 3.86981i 0.131766 0.583396i
\(45\) −4.67006 1.90055i −0.696171 0.283317i
\(46\) −1.00625 + 0.888654i −0.148363 + 0.131025i
\(47\) −0.424005 1.02364i −0.0618476 0.149313i 0.889934 0.456089i \(-0.150750\pi\)
−0.951782 + 0.306775i \(0.900750\pi\)
\(48\) −6.92820 + 0.00430422i −1.00000 + 0.000621261i
\(49\) −1.69100 + 4.08243i −0.241571 + 0.583204i
\(50\) −0.999002 2.90975i −0.141280 0.411501i
\(51\) 8.83277 + 1.28223i 1.23684 + 0.179548i
\(52\) −3.81262 + 1.46526i −0.528716 + 0.203195i
\(53\) 11.1198 3.37315i 1.52742 0.463338i 0.588797 0.808281i \(-0.299602\pi\)
0.938624 + 0.344943i \(0.112102\pi\)
\(54\) 6.49315 3.44078i 0.883606 0.468230i
\(55\) 1.85218 2.77198i 0.249747 0.373773i
\(56\) 7.89125 5.39244i 1.05451 0.720596i
\(57\) −4.52608 + 9.64689i −0.599494 + 1.27776i
\(58\) 8.87925 2.10287i 1.16590 0.276120i
\(59\) −3.82732 + 3.14100i −0.498275 + 0.408924i −0.849679 0.527300i \(-0.823204\pi\)
0.351404 + 0.936224i \(0.385704\pi\)
\(60\) −5.43575 2.08518i −0.701752 0.269196i
\(61\) 1.52818 + 2.85902i 0.195663 + 0.366061i 0.960551 0.278103i \(-0.0897056\pi\)
−0.764888 + 0.644164i \(0.777206\pi\)
\(62\) −3.40642 + 12.8917i −0.432616 + 1.63725i
\(63\) −4.72324 + 8.96996i −0.595072 + 1.13011i
\(64\) −7.99827 + 0.166572i −0.999783 + 0.0208215i
\(65\) −3.43232 −0.425727
\(66\) 1.36488 + 4.66328i 0.168005 + 0.574010i
\(67\) 5.71053 3.05234i 0.697652 0.372903i −0.0841300 0.996455i \(-0.526811\pi\)
0.781782 + 0.623552i \(0.214311\pi\)
\(68\) 10.2270 + 1.27426i 1.24021 + 0.154527i
\(69\) 0.549107 1.54979i 0.0661047 0.186573i
\(70\) 7.81545 1.85093i 0.934125 0.221228i
\(71\) −2.87195 4.29817i −0.340838 0.510099i 0.620967 0.783837i \(-0.286740\pi\)
−0.961805 + 0.273737i \(0.911740\pi\)
\(72\) 7.41586 4.12371i 0.873968 0.485984i
\(73\) −5.34911 3.57416i −0.626066 0.418324i 0.201661 0.979455i \(-0.435366\pi\)
−0.827727 + 0.561132i \(0.810366\pi\)
\(74\) −13.3627 + 6.11055i −1.55338 + 0.710337i
\(75\) 2.79965 + 2.52169i 0.323276 + 0.291179i
\(76\) −5.00018 + 11.2426i −0.573560 + 1.28961i
\(77\) −5.18155 4.25238i −0.590492 0.484604i
\(78\) 3.21123 3.83570i 0.363601 0.434308i
\(79\) 1.90343 + 0.788429i 0.214153 + 0.0887051i 0.487181 0.873301i \(-0.338025\pi\)
−0.273028 + 0.962006i \(0.588025\pi\)
\(80\) −6.32402 2.28048i −0.707047 0.254965i
\(81\) −4.90691 + 7.54468i −0.545212 + 0.838298i
\(82\) −0.0701320 + 0.0619360i −0.00774478 + 0.00683969i
\(83\) 13.7421 1.35347i 1.50839 0.148563i 0.690243 0.723577i \(-0.257503\pi\)
0.818143 + 0.575014i \(0.195003\pi\)
\(84\) −5.24358 + 10.4657i −0.572122 + 1.14190i
\(85\) 7.63790 + 4.08254i 0.828447 + 0.442814i
\(86\) 0.415815 + 11.4830i 0.0448385 + 1.23825i
\(87\) −8.25728 + 7.53074i −0.885273 + 0.807380i
\(88\) 1.68448 + 5.35176i 0.179566 + 0.570499i
\(89\) −2.14297 + 10.7734i −0.227155 + 1.14198i 0.683861 + 0.729612i \(0.260299\pi\)
−0.911016 + 0.412371i \(0.864701\pi\)
\(90\) 7.06009 0.999052i 0.744199 0.105309i
\(91\) −0.676426 + 6.86787i −0.0709087 + 0.719948i
\(92\) 0.597775 1.80199i 0.0623224 0.187870i
\(93\) −4.01722 15.8292i −0.416566 1.64141i
\(94\) 1.24642 + 0.949560i 0.128559 + 0.0979397i
\(95\) −7.31127 + 7.31127i −0.750121 + 0.750121i
\(96\) 8.46516 4.93366i 0.863972 0.503539i
\(97\) 5.47640 + 5.47640i 0.556044 + 0.556044i 0.928179 0.372135i \(-0.121374\pi\)
−0.372135 + 0.928179i \(0.621374\pi\)
\(98\) −0.837169 6.19278i −0.0845669 0.625565i
\(99\) −4.23397 4.18176i −0.425530 0.420283i
\(100\) 3.29092 + 2.84589i 0.329092 + 0.284589i
\(101\) −7.90999 0.779066i −0.787074 0.0775200i −0.303509 0.952829i \(-0.598158\pi\)
−0.483565 + 0.875309i \(0.660658\pi\)
\(102\) −11.7083 + 4.71597i −1.15929 + 0.466950i
\(103\) 1.40913 + 0.280292i 0.138845 + 0.0276180i 0.264024 0.964516i \(-0.414950\pi\)
−0.125178 + 0.992134i \(0.539950\pi\)
\(104\) 3.61779 4.50309i 0.354753 0.441564i
\(105\) −7.26800 + 6.62851i −0.709284 + 0.646876i
\(106\) −11.1920 + 12.0330i −1.08707 + 1.16875i
\(107\) −2.46923 + 4.61961i −0.238710 + 0.446594i −0.972539 0.232739i \(-0.925231\pi\)
0.733829 + 0.679334i \(0.237731\pi\)
\(108\) −5.48887 + 8.82453i −0.528167 + 0.849141i
\(109\) 0.0515942 + 0.523845i 0.00494183 + 0.0501752i 0.997339 0.0728984i \(-0.0232249\pi\)
−0.992398 + 0.123074i \(0.960725\pi\)
\(110\) −0.292030 + 4.70569i −0.0278439 + 0.448670i
\(111\) 10.6752 14.4876i 1.01325 1.37510i
\(112\) −5.80941 + 12.2046i −0.548938 + 1.15322i
\(113\) −5.25946 + 12.6975i −0.494768 + 1.19448i 0.457499 + 0.889210i \(0.348745\pi\)
−0.952267 + 0.305266i \(0.901255\pi\)
\(114\) −1.33019 15.0109i −0.124584 1.40590i
\(115\) 1.01211 1.23326i 0.0943801 0.115003i
\(116\) −9.35708 + 8.88658i −0.868783 + 0.825099i
\(117\) −1.15797 + 6.01631i −0.107054 + 0.556209i
\(118\) 2.44371 6.56177i 0.224962 0.604060i
\(119\) 9.67417 14.4784i 0.886830 1.32723i
\(120\) 8.12732 1.31805i 0.741920 0.120321i
\(121\) −5.87446 + 3.92519i −0.534042 + 0.356835i
\(122\) −3.90165 2.40746i −0.353238 0.217961i
\(123\) 0.0382708 0.108015i 0.00345076 0.00973936i
\(124\) −5.00696 18.1805i −0.449639 1.63266i
\(125\) 5.68475 + 10.6354i 0.508459 + 0.951261i
\(126\) −0.607673 14.3237i −0.0541358 1.27606i
\(127\) 12.5391i 1.11267i −0.830959 0.556334i \(-0.812207\pi\)
0.830959 0.556334i \(-0.187793\pi\)
\(128\) 9.65766 5.89319i 0.853624 0.520889i
\(129\) −7.27238 12.0483i −0.640297 1.06080i
\(130\) 4.19526 2.44159i 0.367949 0.214142i
\(131\) 15.0160 8.02621i 1.31195 0.701253i 0.340896 0.940101i \(-0.389270\pi\)
0.971057 + 0.238848i \(0.0767696\pi\)
\(132\) −4.98551 4.72894i −0.433933 0.411601i
\(133\) 13.1886 + 16.0703i 1.14359 + 1.39347i
\(134\) −4.80859 + 7.79302i −0.415399 + 0.673215i
\(135\) −6.96566 + 5.26726i −0.599509 + 0.453333i
\(136\) −13.4068 + 5.71752i −1.14962 + 0.490273i
\(137\) 15.1814 + 10.1439i 1.29703 + 0.866651i 0.996206 0.0870278i \(-0.0277369\pi\)
0.300828 + 0.953678i \(0.402737\pi\)
\(138\) 0.431283 + 2.28489i 0.0367132 + 0.194503i
\(139\) 2.15063 + 7.08968i 0.182414 + 0.601339i 0.999685 + 0.0250856i \(0.00798582\pi\)
−0.817271 + 0.576253i \(0.804514\pi\)
\(140\) −8.23603 + 7.82191i −0.696072 + 0.661072i
\(141\) −1.89917 0.275698i −0.159939 0.0232179i
\(142\) 6.56785 + 3.21062i 0.551162 + 0.269429i
\(143\) −3.74272 1.55029i −0.312982 0.129641i
\(144\) −6.13087 + 10.3156i −0.510906 + 0.859637i
\(145\) −10.0186 + 4.14983i −0.831998 + 0.344625i
\(146\) 9.08062 + 0.563532i 0.751517 + 0.0466383i
\(147\) 4.57827 + 6.13323i 0.377609 + 0.505860i
\(148\) 11.9863 16.9744i 0.985265 1.39529i
\(149\) 9.85975 + 5.27015i 0.807742 + 0.431747i 0.822934 0.568137i \(-0.192336\pi\)
−0.0151914 + 0.999885i \(0.504836\pi\)
\(150\) −5.21578 1.09067i −0.425867 0.0890530i
\(151\) 2.67982 + 13.4723i 0.218080 + 1.09636i 0.922328 + 0.386409i \(0.126285\pi\)
−0.704247 + 0.709955i \(0.748715\pi\)
\(152\) −1.88580 17.2985i −0.152958 1.40309i
\(153\) 9.73287 12.0107i 0.786856 0.971008i
\(154\) 9.35826 + 1.51171i 0.754110 + 0.121817i
\(155\) 1.55322 15.7701i 0.124758 1.26669i
\(156\) −1.19650 + 6.97263i −0.0957967 + 0.558258i
\(157\) 5.36904 17.6994i 0.428496 1.41256i −0.431431 0.902146i \(-0.641991\pi\)
0.859927 0.510416i \(-0.170509\pi\)
\(158\) −2.88739 + 0.390331i −0.229708 + 0.0310531i
\(159\) 4.82981 19.5386i 0.383029 1.54951i
\(160\) 9.35197 1.71122i 0.739338 0.135283i
\(161\) −2.26823 2.26823i −0.178761 0.178761i
\(162\) 0.630698 12.7123i 0.0495523 0.998772i
\(163\) −3.99892 + 13.1827i −0.313219 + 1.03255i 0.649118 + 0.760688i \(0.275138\pi\)
−0.962337 + 0.271858i \(0.912362\pi\)
\(164\) 0.0416628 0.125592i 0.00325332 0.00980708i
\(165\) −2.48504 5.21228i −0.193460 0.405775i
\(166\) −15.8339 + 11.4298i −1.22895 + 0.887123i
\(167\) −7.82762 1.55701i −0.605719 0.120485i −0.117303 0.993096i \(-0.537425\pi\)
−0.488416 + 0.872611i \(0.662425\pi\)
\(168\) −1.03564 16.5221i −0.0799017 1.27470i
\(169\) −1.72250 8.65958i −0.132500 0.666121i
\(170\) −12.2398 + 0.443219i −0.938750 + 0.0339933i
\(171\) 10.3489 + 15.2821i 0.791400 + 1.16865i
\(172\) −8.67674 13.7397i −0.661595 1.04765i
\(173\) −0.169391 1.71985i −0.0128785 0.130758i 0.986596 0.163184i \(-0.0521766\pi\)
−0.999474 + 0.0324263i \(0.989677\pi\)
\(174\) 4.73572 15.0785i 0.359014 1.14310i
\(175\) 6.79145 2.81311i 0.513385 0.212651i
\(176\) −5.86590 5.34311i −0.442159 0.402752i
\(177\) 1.28462 + 8.47895i 0.0965583 + 0.637317i
\(178\) −5.04440 14.6926i −0.378094 1.10126i
\(179\) 5.17741 6.30869i 0.386978 0.471533i −0.542690 0.839933i \(-0.682594\pi\)
0.929668 + 0.368400i \(0.120094\pi\)
\(180\) −7.91875 + 6.24334i −0.590229 + 0.465351i
\(181\) −0.829553 2.73467i −0.0616602 0.203266i 0.920698 0.390276i \(-0.127620\pi\)
−0.982358 + 0.187010i \(0.940120\pi\)
\(182\) −4.05869 8.87566i −0.300850 0.657907i
\(183\) 5.60905 + 0.258118i 0.414633 + 0.0190806i
\(184\) 0.551197 + 2.62777i 0.0406348 + 0.193721i
\(185\) 14.5190 9.70131i 1.06746 0.713255i
\(186\) 16.1703 + 16.4901i 1.18567 + 1.20911i
\(187\) 6.48466 + 7.90159i 0.474206 + 0.577821i
\(188\) −2.19896 0.273984i −0.160375 0.0199824i
\(189\) 9.16671 + 14.9759i 0.666780 + 1.08934i
\(190\) 3.73555 14.1373i 0.271006 1.02563i
\(191\) 5.97874i 0.432606i −0.976326 0.216303i \(-0.930600\pi\)
0.976326 0.216303i \(-0.0694000\pi\)
\(192\) −6.83726 + 12.0520i −0.493437 + 0.869782i
\(193\) 0.923900i 0.0665038i −0.999447 0.0332519i \(-0.989414\pi\)
0.999447 0.0332519i \(-0.0105864\pi\)
\(194\) −10.5894 2.79806i −0.760272 0.200889i
\(195\) −3.04048 + 5.10861i −0.217734 + 0.365835i
\(196\) 5.42851 + 6.97381i 0.387751 + 0.498129i
\(197\) −8.78965 10.7102i −0.626237 0.763072i 0.359173 0.933271i \(-0.383059\pi\)
−0.985410 + 0.170199i \(0.945559\pi\)
\(198\) 8.14982 + 2.09945i 0.579183 + 0.149202i
\(199\) −17.2825 + 11.5478i −1.22512 + 0.818602i −0.988236 0.152935i \(-0.951127\pi\)
−0.236888 + 0.971537i \(0.576127\pi\)
\(200\) −6.04687 1.13748i −0.427579 0.0804322i
\(201\) 0.515557 11.2033i 0.0363646 0.790223i
\(202\) 10.2224 4.67456i 0.719249 0.328901i
\(203\) 6.32915 + 20.8644i 0.444219 + 1.46440i
\(204\) 10.9561 14.0930i 0.767081 0.986705i
\(205\) 0.0705407 0.0859541i 0.00492678 0.00600330i
\(206\) −1.92174 + 0.659789i −0.133894 + 0.0459696i
\(207\) −1.82026 2.19015i −0.126517 0.152226i
\(208\) −1.21868 + 8.07757i −0.0845002 + 0.560079i
\(209\) −11.2748 + 4.67017i −0.779893 + 0.323042i
\(210\) 4.16835 13.2720i 0.287643 0.915857i
\(211\) −2.03393 20.6508i −0.140021 1.42166i −0.766511 0.642231i \(-0.778009\pi\)
0.626490 0.779429i \(-0.284491\pi\)
\(212\) 5.12010 22.6693i 0.351650 1.55693i
\(213\) −8.94142 + 0.467069i −0.612656 + 0.0320030i
\(214\) −0.268071 7.40297i −0.0183249 0.506056i
\(215\) −2.66404 13.3931i −0.181686 0.913399i
\(216\) 0.431599 14.6906i 0.0293666 0.999569i
\(217\) −31.2490 6.21581i −2.12132 0.421956i
\(218\) −0.435701 0.603585i −0.0295094 0.0408799i
\(219\) −10.0582 + 4.79540i −0.679669 + 0.324043i
\(220\) −2.99047 5.95943i −0.201617 0.401785i
\(221\) 3.05490 10.0707i 0.205495 0.677426i
\(222\) −2.74238 + 25.3018i −0.184056 + 1.69815i
\(223\) 7.71535 + 7.71535i 0.516658 + 0.516658i 0.916559 0.399900i \(-0.130955\pi\)
−0.399900 + 0.916559i \(0.630955\pi\)
\(224\) −1.58100 19.0500i −0.105635 1.27283i
\(225\) 6.23328 1.93315i 0.415552 0.128877i
\(226\) −2.60382 19.2612i −0.173204 1.28124i
\(227\) −5.07829 + 16.7409i −0.337058 + 1.11113i 0.610626 + 0.791919i \(0.290918\pi\)
−0.947684 + 0.319211i \(0.896582\pi\)
\(228\) 12.3039 + 17.4013i 0.814846 + 1.15243i
\(229\) 1.63901 16.6412i 0.108309 1.09968i −0.775344 0.631539i \(-0.782424\pi\)
0.883653 0.468142i \(-0.155076\pi\)
\(230\) −0.359804 + 2.22737i −0.0237248 + 0.146868i
\(231\) −10.9192 + 3.94520i −0.718431 + 0.259575i
\(232\) 5.11551 17.5181i 0.335850 1.15012i
\(233\) −0.679431 3.41573i −0.0445110 0.223772i 0.952127 0.305703i \(-0.0988914\pi\)
−0.996638 + 0.0819307i \(0.973891\pi\)
\(234\) −2.86436 8.17737i −0.187249 0.534571i
\(235\) −1.64226 0.877804i −0.107129 0.0572616i
\(236\) 1.68083 + 9.75869i 0.109413 + 0.635237i
\(237\) 2.85962 2.13462i 0.185752 0.138659i
\(238\) −1.52531 + 24.5785i −0.0988713 + 1.59319i
\(239\) −21.8294 + 9.04202i −1.41202 + 0.584880i −0.952843 0.303463i \(-0.901857\pi\)
−0.459181 + 0.888343i \(0.651857\pi\)
\(240\) −8.99630 + 7.39243i −0.580708 + 0.477179i
\(241\) 18.5401 + 7.67957i 1.19427 + 0.494685i 0.889145 0.457626i \(-0.151300\pi\)
0.305130 + 0.952311i \(0.401300\pi\)
\(242\) 4.38806 8.97651i 0.282075 0.577032i
\(243\) 6.88266 + 13.9867i 0.441523 + 0.897250i
\(244\) 6.48147 + 0.167155i 0.414934 + 0.0107010i
\(245\) 2.15579 + 7.10669i 0.137728 + 0.454030i
\(246\) 0.0300589 + 0.159249i 0.00191648 + 0.0101533i
\(247\) 10.4468 + 6.98033i 0.664714 + 0.444148i
\(248\) 19.0527 + 18.6600i 1.20985 + 1.18491i
\(249\) 10.1588 21.6524i 0.643786 1.37217i
\(250\) −14.5139 8.95563i −0.917940 0.566404i
\(251\) 2.00865 + 2.44755i 0.126785 + 0.154488i 0.832534 0.553974i \(-0.186889\pi\)
−0.705749 + 0.708462i \(0.749389\pi\)
\(252\) 10.9320 + 17.0754i 0.688649 + 1.07565i
\(253\) 1.66068 0.887651i 0.104406 0.0558061i
\(254\) 8.91975 + 15.3264i 0.559675 + 0.961663i
\(255\) 12.8423 7.75165i 0.804219 0.485427i
\(256\) −7.61226 + 14.0732i −0.475766 + 0.879572i
\(257\) 10.4470i 0.651665i −0.945427 0.325833i \(-0.894355\pi\)
0.945427 0.325833i \(-0.105645\pi\)
\(258\) 17.4595 + 9.55324i 1.08698 + 0.594759i
\(259\) −16.5504 30.9636i −1.02839 1.92399i
\(260\) −3.39097 + 5.96863i −0.210299 + 0.370159i
\(261\) 3.89401 + 18.9610i 0.241033 + 1.17366i
\(262\) −12.6443 + 20.4920i −0.781169 + 1.26600i
\(263\) −21.4004 + 14.2993i −1.31960 + 0.881732i −0.997879 0.0651014i \(-0.979263\pi\)
−0.321726 + 0.946833i \(0.604263\pi\)
\(264\) 9.45765 + 2.23365i 0.582078 + 0.137471i
\(265\) 10.8500 16.2382i 0.666511 0.997504i
\(266\) −27.5518 10.2607i −1.68931 0.629127i
\(267\) 14.1367 + 12.7331i 0.865152 + 0.779254i
\(268\) 0.333870 12.9459i 0.0203943 0.790796i
\(269\) −3.63185 + 4.42542i −0.221438 + 0.269823i −0.871866 0.489745i \(-0.837090\pi\)
0.650428 + 0.759568i \(0.274590\pi\)
\(270\) 4.76714 11.3931i 0.290119 0.693364i
\(271\) −7.25075 + 17.5049i −0.440452 + 1.06334i 0.535339 + 0.844638i \(0.320184\pi\)
−0.975791 + 0.218707i \(0.929816\pi\)
\(272\) 12.3197 16.5254i 0.746992 1.00200i
\(273\) 9.62282 + 7.09061i 0.582400 + 0.429143i
\(274\) −25.7719 1.59937i −1.55693 0.0966215i
\(275\) 0.422964 + 4.29442i 0.0255057 + 0.258963i
\(276\) −2.15251 2.48599i −0.129566 0.149639i
\(277\) 4.78756 8.95689i 0.287657 0.538167i −0.696040 0.718003i \(-0.745056\pi\)
0.983697 + 0.179835i \(0.0575565\pi\)
\(278\) −7.67195 7.13574i −0.460133 0.427973i
\(279\) −27.1185 8.04295i −1.62354 0.481519i
\(280\) 4.50263 15.4193i 0.269084 0.921480i
\(281\) 22.2632 + 4.42843i 1.32811 + 0.264178i 0.807628 0.589693i \(-0.200751\pi\)
0.520485 + 0.853871i \(0.325751\pi\)
\(282\) 2.51744 1.01400i 0.149912 0.0603828i
\(283\) 6.94332 + 0.683858i 0.412738 + 0.0406511i 0.302255 0.953227i \(-0.402260\pi\)
0.110482 + 0.993878i \(0.464760\pi\)
\(284\) −10.3117 + 0.747777i −0.611885 + 0.0443724i
\(285\) 4.40537 + 17.3586i 0.260951 + 1.02824i
\(286\) 5.67747 0.767507i 0.335716 0.0453837i
\(287\) −0.158087 0.158087i −0.00933160 0.00933160i
\(288\) 0.155601 16.9698i 0.00916887 0.999958i
\(289\) −6.75569 + 6.75569i −0.397393 + 0.397393i
\(290\) 9.29355 12.1990i 0.545736 0.716351i
\(291\) 13.0022 3.29977i 0.762202 0.193436i
\(292\) −11.5000 + 5.77073i −0.672984 + 0.337706i
\(293\) −2.48671 + 25.2480i −0.145275 + 1.47501i 0.595556 + 0.803314i \(0.296932\pi\)
−0.740831 + 0.671692i \(0.765568\pi\)
\(294\) −9.95883 4.23978i −0.580811 0.247269i
\(295\) −1.62340 + 8.16137i −0.0945178 + 0.475173i
\(296\) −2.57580 + 29.2740i −0.149715 + 1.70152i
\(297\) −9.97469 + 2.59740i −0.578790 + 0.150717i
\(298\) −15.8003 + 0.572150i −0.915290 + 0.0331438i
\(299\) −1.70974 0.913874i −0.0988767 0.0528507i
\(300\) 7.15101 2.37715i 0.412864 0.137245i
\(301\) −27.3237 + 2.69115i −1.57491 + 0.155116i
\(302\) −12.8591 14.5607i −0.739957 0.837876i
\(303\) −8.16654 + 11.0830i −0.469155 + 0.636701i
\(304\) 14.6103 + 19.8022i 0.837959 + 1.13573i
\(305\) 5.03365 + 2.08500i 0.288226 + 0.119387i
\(306\) −3.35248 + 21.6040i −0.191648 + 1.23502i
\(307\) 5.24422 + 4.30382i 0.299303 + 0.245632i 0.772043 0.635570i \(-0.219235\pi\)
−0.472740 + 0.881202i \(0.656735\pi\)
\(308\) −12.5138 + 4.80929i −0.713041 + 0.274035i
\(309\) 1.66544 1.84903i 0.0947437 0.105187i
\(310\) 9.31964 + 20.3804i 0.529320 + 1.15753i
\(311\) −10.6363 7.10694i −0.603128 0.402997i 0.216178 0.976354i \(-0.430641\pi\)
−0.819306 + 0.573357i \(0.805641\pi\)
\(312\) −3.49754 9.37367i −0.198009 0.530680i
\(313\) 13.8333 + 20.7029i 0.781902 + 1.17020i 0.981714 + 0.190364i \(0.0609669\pi\)
−0.199812 + 0.979834i \(0.564033\pi\)
\(314\) 6.02800 + 25.4529i 0.340180 + 1.43639i
\(315\) 3.42748 + 16.6894i 0.193117 + 0.940339i
\(316\) 3.25154 2.53105i 0.182914 0.142383i
\(317\) 17.8787 9.55636i 1.00417 0.536739i 0.114537 0.993419i \(-0.463462\pi\)
0.889631 + 0.456680i \(0.150962\pi\)
\(318\) 7.99545 + 27.3174i 0.448362 + 1.53188i
\(319\) −12.7990 −0.716605
\(320\) −10.2135 + 8.74414i −0.570951 + 0.488812i
\(321\) 4.68841 + 7.76740i 0.261681 + 0.433534i
\(322\) 4.38593 + 1.15891i 0.244418 + 0.0645833i
\(323\) −14.9445 27.9591i −0.831532 1.55569i
\(324\) 8.27203 + 15.9867i 0.459557 + 0.888148i
\(325\) 3.43424 2.81841i 0.190497 0.156337i
\(326\) −4.48972 18.9576i −0.248662 1.04996i
\(327\) 0.825386 + 0.387251i 0.0456440 + 0.0214150i
\(328\) 0.0384164 + 0.183146i 0.00212119 + 0.0101125i
\(329\) −2.08008 + 3.11306i −0.114679 + 0.171629i
\(330\) 6.74519 + 4.60314i 0.371310 + 0.253395i
\(331\) −18.1611 + 5.50910i −0.998223 + 0.302808i −0.746785 0.665066i \(-0.768403\pi\)
−0.251438 + 0.967873i \(0.580903\pi\)
\(332\) 11.2229 25.2339i 0.615936 1.38489i
\(333\) −12.1066 28.7226i −0.663435 1.57399i
\(334\) 10.6752 3.66509i 0.584118 0.200545i
\(335\) 4.16452 10.0540i 0.227532 0.549311i
\(336\) 13.0189 + 19.4579i 0.710237 + 1.06152i
\(337\) −10.9649 26.4716i −0.597295 1.44200i −0.876327 0.481716i \(-0.840014\pi\)
0.279033 0.960282i \(-0.409986\pi\)
\(338\) 8.26540 + 9.35916i 0.449578 + 0.509071i
\(339\) 14.2397 + 19.0760i 0.773392 + 1.03607i
\(340\) 14.6452 9.24856i 0.794249 0.501574i
\(341\) 8.81662 16.4947i 0.477447 0.893240i
\(342\) −23.5203 11.3174i −1.27183 0.611974i
\(343\) −8.55476 + 1.70165i −0.461914 + 0.0918803i
\(344\) 20.3792 + 10.6216i 1.09878 + 0.572680i
\(345\) −0.939001 2.59889i −0.0505541 0.139920i
\(346\) 1.43047 + 1.98165i 0.0769024 + 0.106534i
\(347\) −20.3333 2.00265i −1.09155 0.107508i −0.463811 0.885934i \(-0.653518\pi\)
−0.627736 + 0.778426i \(0.716018\pi\)
\(348\) 4.93778 + 21.7990i 0.264693 + 1.16855i
\(349\) 2.53946 + 0.770336i 0.135934 + 0.0412352i 0.357519 0.933906i \(-0.383623\pi\)
−0.221585 + 0.975141i \(0.571123\pi\)
\(350\) −6.29996 + 8.26953i −0.336747 + 0.442025i
\(351\) 7.92881 + 7.05299i 0.423209 + 0.376461i
\(352\) 10.9706 + 2.35806i 0.584736 + 0.125685i
\(353\) −3.07791 + 3.07791i −0.163821 + 0.163821i −0.784257 0.620436i \(-0.786956\pi\)
0.620436 + 0.784257i \(0.286956\pi\)
\(354\) −7.60170 9.44986i −0.404026 0.502255i
\(355\) −8.31384 2.52198i −0.441253 0.133853i
\(356\) 16.6173 + 14.3702i 0.880717 + 0.761618i
\(357\) −12.9797 27.2244i −0.686958 1.44087i
\(358\) −1.84055 + 11.3940i −0.0972763 + 0.602190i
\(359\) −0.597160 + 3.00213i −0.0315169 + 0.158446i −0.993339 0.115230i \(-0.963240\pi\)
0.961822 + 0.273676i \(0.0882396\pi\)
\(360\) 5.23774 13.2642i 0.276053 0.699083i
\(361\) 18.4871 3.67731i 0.973005 0.193543i
\(362\) 2.95927 + 2.75244i 0.155536 + 0.144665i
\(363\) 0.638358 + 12.2205i 0.0335051 + 0.641412i
\(364\) 11.2746 + 7.96141i 0.590950 + 0.417291i
\(365\) −10.7601 + 1.05978i −0.563212 + 0.0554715i
\(366\) −7.03946 + 3.67452i −0.367959 + 0.192070i
\(367\) 10.2167 + 24.6652i 0.533306 + 1.28752i 0.929322 + 0.369271i \(0.120393\pi\)
−0.396015 + 0.918244i \(0.629607\pi\)
\(368\) −2.54299 2.81978i −0.132562 0.146991i
\(369\) −0.126866 0.152645i −0.00660436 0.00794640i
\(370\) −10.8453 + 22.1859i −0.563822 + 1.15339i
\(371\) −30.3534 24.9104i −1.57587 1.29328i
\(372\) −31.4950 8.65275i −1.63294 0.448624i
\(373\) 33.2801 10.0954i 1.72318 0.522721i 0.735273 0.677771i \(-0.237054\pi\)
0.987907 + 0.155050i \(0.0495540\pi\)
\(374\) −13.5469 5.04509i −0.700494 0.260876i
\(375\) 20.8654 + 0.960185i 1.07748 + 0.0495838i
\(376\) 2.88265 1.22935i 0.148661 0.0633988i
\(377\) 7.32080 + 10.9564i 0.377040 + 0.564281i
\(378\) −21.8575 11.7841i −1.12423 0.606107i
\(379\) 23.6998 19.4499i 1.21738 0.999075i 0.217641 0.976029i \(-0.430164\pi\)
0.999734 0.0230458i \(-0.00733635\pi\)
\(380\) 5.49074 + 19.9371i 0.281669 + 1.02275i
\(381\) −18.6631 11.1077i −0.956137 0.569063i
\(382\) 4.25299 + 7.30771i 0.217602 + 0.373895i
\(383\) −14.4201 −0.736833 −0.368416 0.929661i \(-0.620100\pi\)
−0.368416 + 0.929661i \(0.620100\pi\)
\(384\) −0.216193 19.5947i −0.0110326 0.999939i
\(385\) −11.2656 −0.574147
\(386\) 0.657219 + 1.12927i 0.0334516 + 0.0574782i
\(387\) −24.3747 + 0.151207i −1.23904 + 0.00768631i
\(388\) 14.9336 4.11275i 0.758139 0.208793i
\(389\) 2.28823 1.87790i 0.116018 0.0952135i −0.574595 0.818438i \(-0.694841\pi\)
0.690613 + 0.723224i \(0.257341\pi\)
\(390\) 0.0823096 8.40702i 0.00416791 0.425706i
\(391\) 2.71766 + 4.06727i 0.137438 + 0.205691i
\(392\) −11.5960 4.66238i −0.585687 0.235486i
\(393\) 1.35567 29.4595i 0.0683846 1.48604i
\(394\) 18.3622 + 6.83838i 0.925074 + 0.344513i
\(395\) 3.31350 1.00514i 0.166720 0.0505740i
\(396\) −11.4548 + 3.23127i −0.575628 + 0.162378i
\(397\) 3.12326 + 2.56320i 0.156752 + 0.128643i 0.709500 0.704705i \(-0.248921\pi\)
−0.552748 + 0.833348i \(0.686421\pi\)
\(398\) 12.9096 26.4086i 0.647098 1.32375i
\(399\) 35.6017 5.39393i 1.78232 0.270034i
\(400\) 8.20015 2.91114i 0.410007 0.145557i
\(401\) −4.87504 11.7694i −0.243448 0.587735i 0.754173 0.656676i \(-0.228038\pi\)
−0.997621 + 0.0689409i \(0.978038\pi\)
\(402\) 7.33937 + 14.0604i 0.366055 + 0.701269i
\(403\) −19.1630 + 1.88739i −0.954577 + 0.0940176i
\(404\) −9.16947 + 12.9854i −0.456198 + 0.646048i
\(405\) 1.66924 + 15.0335i 0.0829452 + 0.747022i
\(406\) −22.5780 21.0000i −1.12053 1.04221i
\(407\) 20.2139 4.02079i 1.00197 0.199303i
\(408\) −3.36640 + 25.0193i −0.166661 + 1.23864i
\(409\) 0.151196 0.760111i 0.00747614 0.0375851i −0.976867 0.213847i \(-0.931401\pi\)
0.984343 + 0.176262i \(0.0564006\pi\)
\(410\) −0.0250770 + 0.155240i −0.00123847 + 0.00766674i
\(411\) 28.5463 13.6099i 1.40808 0.671327i
\(412\) 1.87956 2.17348i 0.0925995 0.107080i
\(413\) 16.0105 + 4.85673i 0.787825 + 0.238984i
\(414\) 3.78284 + 1.38213i 0.185917 + 0.0679281i
\(415\) 16.4101 16.4101i 0.805542 0.805542i
\(416\) −4.25643 10.7400i −0.208689 0.526571i
\(417\) 12.4573 + 3.07936i 0.610036 + 0.150797i
\(418\) 10.4588 13.7286i 0.511559 0.671489i
\(419\) −15.5100 4.70491i −0.757714 0.229850i −0.112291 0.993675i \(-0.535819\pi\)
−0.645423 + 0.763825i \(0.723319\pi\)
\(420\) 4.34620 + 19.1873i 0.212073 + 0.936246i
\(421\) −23.6129 2.32567i −1.15082 0.113346i −0.495440 0.868642i \(-0.664993\pi\)
−0.655384 + 0.755296i \(0.727493\pi\)
\(422\) 17.1760 + 23.7943i 0.836117 + 1.15829i
\(423\) −2.09270 + 2.58247i −0.101751 + 0.125564i
\(424\) 9.86765 + 31.3505i 0.479216 + 1.52251i
\(425\) −10.9945 + 2.18694i −0.533312 + 0.106082i
\(426\) 10.5967 6.93140i 0.513412 0.335827i
\(427\) 5.16398 9.66113i 0.249903 0.467535i
\(428\) 5.59378 + 8.85783i 0.270386 + 0.428159i
\(429\) −5.62287 + 4.19730i −0.271475 + 0.202648i
\(430\) 12.7834 + 14.4750i 0.616471 + 0.698048i
\(431\) 4.88559 + 11.7949i 0.235331 + 0.568139i 0.996789 0.0800756i \(-0.0255162\pi\)
−0.761458 + 0.648214i \(0.775516\pi\)
\(432\) 9.92267 + 18.2631i 0.477405 + 0.878684i
\(433\) −10.1444 + 24.4908i −0.487510 + 1.17695i 0.468459 + 0.883485i \(0.344809\pi\)
−0.955969 + 0.293468i \(0.905191\pi\)
\(434\) 42.6167 14.6316i 2.04567 0.702338i
\(435\) −2.69831 + 18.5876i −0.129374 + 0.891206i
\(436\) 0.961912 + 0.427815i 0.0460673 + 0.0204886i
\(437\) −5.58863 + 1.69529i −0.267340 + 0.0810968i
\(438\) 8.88272 13.0162i 0.424433 0.621940i
\(439\) 4.87229 7.29189i 0.232541 0.348023i −0.696786 0.717279i \(-0.745387\pi\)
0.929328 + 0.369256i \(0.120387\pi\)
\(440\) 7.89445 + 5.15683i 0.376353 + 0.245842i
\(441\) 13.1842 1.38116i 0.627820 0.0657697i
\(442\) 3.42984 + 14.4823i 0.163141 + 0.688853i
\(443\) 18.6429 15.2999i 0.885753 0.726919i −0.0770775 0.997025i \(-0.524559\pi\)
0.962830 + 0.270106i \(0.0870589\pi\)
\(444\) −14.6466 32.8768i −0.695095 1.56026i
\(445\) 8.70255 + 16.2813i 0.412540 + 0.771809i
\(446\) −14.9187 3.94201i −0.706420 0.186659i
\(447\) 16.5782 10.0066i 0.784120 0.473296i
\(448\) 15.4837 + 22.1598i 0.731535 + 1.04695i
\(449\) −25.8300 −1.21899 −0.609495 0.792790i \(-0.708628\pi\)
−0.609495 + 0.792790i \(0.708628\pi\)
\(450\) −6.24368 + 6.79692i −0.294330 + 0.320410i
\(451\) 0.115743 0.0618661i 0.00545014 0.00291316i
\(452\) 16.8841 + 21.6904i 0.794163 + 1.02023i
\(453\) 22.4259 + 7.94574i 1.05366 + 0.373324i
\(454\) −5.70156 24.0745i −0.267587 1.12987i
\(455\) 6.44372 + 9.64370i 0.302086 + 0.452104i
\(456\) −27.4173 12.5169i −1.28393 0.586158i
\(457\) −25.6892 17.1650i −1.20169 0.802944i −0.216816 0.976213i \(-0.569567\pi\)
−0.984875 + 0.173269i \(0.944567\pi\)
\(458\) 9.83442 + 21.5062i 0.459532 + 1.00492i
\(459\) −9.25478 25.1258i −0.431976 1.17277i
\(460\) −1.14466 2.97842i −0.0533702 0.138870i
\(461\) −4.30605 3.53389i −0.200553 0.164589i 0.528757 0.848774i \(-0.322658\pi\)
−0.729309 + 0.684184i \(0.760158\pi\)
\(462\) 10.5399 12.5896i 0.490362 0.585719i
\(463\) 20.0053 + 8.28645i 0.929723 + 0.385104i 0.795573 0.605857i \(-0.207170\pi\)
0.134150 + 0.990961i \(0.457170\pi\)
\(464\) 6.20896 + 25.0510i 0.288244 + 1.16296i
\(465\) −22.0961 16.2816i −1.02468 0.755040i
\(466\) 3.26025 + 3.69168i 0.151028 + 0.171014i
\(467\) −19.1758 + 1.88865i −0.887350 + 0.0873964i −0.531412 0.847113i \(-0.678339\pi\)
−0.355938 + 0.934510i \(0.615839\pi\)
\(468\) 9.31805 + 7.95749i 0.430727 + 0.367835i
\(469\) −19.2968 10.3144i −0.891045 0.476273i
\(470\) 2.63173 0.0952983i 0.121393 0.00439578i
\(471\) −21.5873 23.6700i −0.994692 1.09066i
\(472\) −8.99632 10.7322i −0.414089 0.493991i
\(473\) 3.14432 15.8075i 0.144576 0.726832i
\(474\) −1.97680 + 4.64331i −0.0907975 + 0.213274i
\(475\) 1.31180 13.3189i 0.0601895 0.611115i
\(476\) −15.6196 31.1269i −0.715924 1.42670i
\(477\) −24.8025 24.4967i −1.13563 1.12163i
\(478\) 20.2496 26.5803i 0.926196 1.21575i
\(479\) −7.39424 + 7.39424i −0.337852 + 0.337852i −0.855558 0.517707i \(-0.826786\pi\)
0.517707 + 0.855558i \(0.326786\pi\)
\(480\) 5.73740 15.4352i 0.261875 0.704516i
\(481\) −15.0039 15.0039i −0.684121 0.684121i
\(482\) −28.1242 + 3.80196i −1.28102 + 0.173175i
\(483\) −5.38528 + 1.36671i −0.245039 + 0.0621874i
\(484\) 1.02201 + 14.0933i 0.0464551 + 0.640604i
\(485\) 12.9537 + 1.27583i 0.588196 + 0.0579323i
\(486\) −18.3621 12.1998i −0.832920 0.553393i
\(487\) −20.9985 4.17686i −0.951533 0.189272i −0.305167 0.952299i \(-0.598712\pi\)
−0.646366 + 0.763027i \(0.723712\pi\)
\(488\) −8.04110 + 4.40630i −0.364004 + 0.199464i
\(489\) 16.0785 + 17.6297i 0.727093 + 0.797240i
\(490\) −7.69035 7.15286i −0.347415 0.323133i
\(491\) −12.6364 + 23.6410i −0.570271 + 1.06690i 0.417157 + 0.908834i \(0.363027\pi\)
−0.987428 + 0.158068i \(0.949473\pi\)
\(492\) −0.150022 0.173265i −0.00676354 0.00781137i
\(493\) −3.25895 33.0887i −0.146776 1.49024i
\(494\) −17.7344 1.10058i −0.797910 0.0495173i
\(495\) −9.95922 0.918554i −0.447633 0.0412859i
\(496\) −36.5617 9.25466i −1.64167 0.415547i
\(497\) −6.68478 + 16.1385i −0.299854 + 0.723910i
\(498\) 2.98562 + 33.6919i 0.133789 + 1.50977i
\(499\) −12.1318 + 14.7826i −0.543093 + 0.661761i −0.970162 0.242458i \(-0.922046\pi\)
0.427069 + 0.904219i \(0.359546\pi\)
\(500\) 24.1107 + 0.621807i 1.07826 + 0.0278080i
\(501\) −9.25144 + 10.2712i −0.413324 + 0.458885i
\(502\) −4.19622 1.56274i −0.187286 0.0697485i
\(503\) −1.23098 + 1.84230i −0.0548868 + 0.0821439i −0.857898 0.513820i \(-0.828230\pi\)
0.803011 + 0.595964i \(0.203230\pi\)
\(504\) −25.5086 13.0945i −1.13624 0.583274i
\(505\) −11.1070 + 7.42148i −0.494257 + 0.330252i
\(506\) −1.39839 + 2.26629i −0.0621659 + 0.100749i
\(507\) −14.4146 5.10726i −0.640176 0.226821i
\(508\) −21.8049 12.3881i −0.967438 0.549633i
\(509\) 8.76824 + 16.4042i 0.388645 + 0.727104i 0.997824 0.0659285i \(-0.0210009\pi\)
−0.609179 + 0.793033i \(0.708501\pi\)
\(510\) −10.1828 + 18.6102i −0.450903 + 0.824072i
\(511\) 21.7393i 0.961689i
\(512\) −0.706643 22.6164i −0.0312295 0.999512i
\(513\) 31.9132 1.86561i 1.40900 0.0823686i
\(514\) 7.43150 + 12.7692i 0.327789 + 0.563225i
\(515\) 2.12953 1.13826i 0.0938385 0.0501577i
\(516\) −28.1362 + 0.743114i −1.23863 + 0.0327138i
\(517\) −1.39429 1.69895i −0.0613210 0.0747198i
\(518\) 42.2554 + 26.0732i 1.85659 + 1.14559i
\(519\) −2.70986 1.27140i −0.118950 0.0558081i
\(520\) −0.101074 9.70753i −0.00443238 0.425703i
\(521\) −34.4447 23.0152i −1.50905 1.00831i −0.987942 0.154824i \(-0.950519\pi\)
−0.521107 0.853491i \(-0.674481\pi\)
\(522\) −18.2476 20.4057i −0.798675 0.893135i
\(523\) 9.81668 + 32.3613i 0.429253 + 1.41506i 0.858938 + 0.512080i \(0.171125\pi\)
−0.429685 + 0.902979i \(0.641375\pi\)
\(524\) 0.877920 34.0416i 0.0383521 1.48711i
\(525\) 1.82915 12.6002i 0.0798305 0.549920i
\(526\) 15.9855 32.7010i 0.697001 1.42583i
\(527\) 44.8882 + 18.5933i 1.95536 + 0.809936i
\(528\) −13.1488 + 3.99758i −0.572230 + 0.173972i
\(529\) −20.4167 + 8.45687i −0.887683 + 0.367690i
\(530\) −1.71070 + 27.5659i −0.0743083 + 1.19738i
\(531\) 13.7579 + 5.59898i 0.597043 + 0.242975i
\(532\) 40.9752 7.05753i 1.77650 0.305983i
\(533\) −0.119163 0.0636938i −0.00516151 0.00275888i
\(534\) −26.3368 5.50729i −1.13970 0.238324i
\(535\) 1.71747 + 8.63433i 0.0742529 + 0.373295i
\(536\) 8.80101 + 16.0610i 0.380146 + 0.693732i
\(537\) −4.80340 13.2945i −0.207282 0.573698i
\(538\) 1.29111 7.99265i 0.0556639 0.344588i
\(539\) −0.859150 + 8.72310i −0.0370062 + 0.375730i
\(540\) 2.27774 + 17.3167i 0.0980185 + 0.745194i
\(541\) 0.729973 2.40640i 0.0313840 0.103459i −0.939849 0.341590i \(-0.889035\pi\)
0.971233 + 0.238131i \(0.0765347\pi\)
\(542\) −3.58966 26.5538i −0.154189 1.14058i
\(543\) −4.80509 1.18779i −0.206206 0.0509728i
\(544\) −3.30280 + 28.9624i −0.141606 + 1.24175i
\(545\) 0.625552 + 0.625552i 0.0267957 + 0.0267957i
\(546\) −16.8057 1.82152i −0.719219 0.0779537i
\(547\) −2.26705 + 7.47347i −0.0969321 + 0.319542i −0.991974 0.126439i \(-0.959645\pi\)
0.895042 + 0.445981i \(0.147145\pi\)
\(548\) 32.6382 16.3780i 1.39424 0.699633i
\(549\) 5.35290 8.11977i 0.228456 0.346543i
\(550\) −3.57183 4.94813i −0.152303 0.210989i
\(551\) 38.9327 + 7.74419i 1.65859 + 0.329914i
\(552\) 4.39940 + 1.50739i 0.187251 + 0.0641587i
\(553\) −1.35821 6.82821i −0.0577572 0.290365i
\(554\) 0.519758 + 14.3535i 0.0220824 + 0.609822i
\(555\) −1.57774 30.2037i −0.0669712 1.28208i
\(556\) 14.4533 + 3.26444i 0.612957 + 0.138443i
\(557\) 3.28877 + 33.3914i 0.139350 + 1.41484i 0.769638 + 0.638480i \(0.220436\pi\)
−0.630289 + 0.776361i \(0.717064\pi\)
\(558\) 38.8679 9.46008i 1.64541 0.400477i
\(559\) −15.3303 + 6.35001i −0.648402 + 0.268577i
\(560\) 5.46508 + 22.0497i 0.230942 + 0.931771i
\(561\) 17.5050 2.65213i 0.739060 0.111973i
\(562\) −30.3622 + 10.4242i −1.28075 + 0.439719i
\(563\) 26.6517 32.4752i 1.12324 1.36867i 0.202127 0.979359i \(-0.435215\pi\)
0.921108 0.389306i \(-0.127285\pi\)
\(564\) −2.35572 + 3.03019i −0.0991936 + 0.127594i
\(565\) 6.70509 + 22.1037i 0.282085 + 0.929910i
\(566\) −8.97317 + 4.10329i −0.377171 + 0.172474i
\(567\) 30.4102 0.377311i 1.27711 0.0158456i
\(568\) 12.0718 8.24923i 0.506523 0.346130i
\(569\) 6.63955 4.43641i 0.278345 0.185984i −0.408560 0.912731i \(-0.633969\pi\)
0.686905 + 0.726748i \(0.258969\pi\)
\(570\) −17.7327 18.0834i −0.742741 0.757429i
\(571\) 2.01209 + 2.45174i 0.0842035 + 0.102602i 0.813408 0.581694i \(-0.197610\pi\)
−0.729205 + 0.684296i \(0.760110\pi\)
\(572\) −6.39351 + 4.97679i −0.267326 + 0.208090i
\(573\) −8.89866 5.29620i −0.371747 0.221252i
\(574\) 0.305684 + 0.0807717i 0.0127590 + 0.00337134i
\(575\) 2.06504i 0.0861182i
\(576\) 11.8814 + 20.8527i 0.495057 + 0.868861i
\(577\) 43.1606i 1.79680i 0.439180 + 0.898399i \(0.355269\pi\)
−0.439180 + 0.898399i \(0.644731\pi\)
\(578\) 3.45169 13.0630i 0.143571 0.543351i
\(579\) −1.37512 0.818427i −0.0571479 0.0340127i
\(580\) −2.68154 + 21.5216i −0.111345 + 0.893638i
\(581\) −29.6017 36.0698i −1.22809 1.49643i
\(582\) −13.5451 + 13.2824i −0.561461 + 0.550574i
\(583\) 19.1656 12.8060i 0.793758 0.530372i
\(584\) 9.95118 15.2340i 0.411783 0.630387i
\(585\) 4.91019 + 9.05082i 0.203011 + 0.374205i
\(586\) −14.9208 32.6292i −0.616372 1.34790i
\(587\) 12.3842 + 40.8252i 0.511151 + 1.68504i 0.709334 + 0.704873i \(0.248996\pi\)
−0.198183 + 0.980165i \(0.563504\pi\)
\(588\) 15.1885 1.90203i 0.626363 0.0784385i
\(589\) −36.7993 + 44.8400i −1.51629 + 1.84760i
\(590\) −3.82136 11.1303i −0.157323 0.458228i
\(591\) −23.7272 + 3.59484i −0.976005 + 0.147872i
\(592\) −17.6758 37.6135i −0.726471 1.54590i
\(593\) 28.4920 11.8018i 1.17003 0.484641i 0.288825 0.957382i \(-0.406735\pi\)
0.881201 + 0.472741i \(0.156735\pi\)
\(594\) 10.3442 10.2703i 0.424429 0.421395i
\(595\) −2.86851 29.1245i −0.117597 1.19399i
\(596\) 18.9055 11.9390i 0.774400 0.489039i
\(597\) 1.87803 + 35.9525i 0.0768628 + 1.47144i
\(598\) 2.73987 0.0992142i 0.112042 0.00405717i
\(599\) −6.60421 33.2016i −0.269841 1.35658i −0.843343 0.537376i \(-0.819416\pi\)
0.573502 0.819204i \(-0.305584\pi\)
\(600\) −7.04957 + 7.99245i −0.287798 + 0.326290i
\(601\) 32.3854 + 6.44186i 1.32103 + 0.262769i 0.804730 0.593640i \(-0.202310\pi\)
0.516298 + 0.856409i \(0.327310\pi\)
\(602\) 31.4830 22.7262i 1.28315 0.926250i
\(603\) −16.2182 10.6917i −0.660455 0.435400i
\(604\) 26.0753 + 8.64999i 1.06099 + 0.351963i
\(605\) −3.44687 + 11.3628i −0.140135 + 0.461964i
\(606\) 2.09791 19.3558i 0.0852218 0.786277i
\(607\) −3.32480 3.32480i −0.134949 0.134949i 0.636405 0.771355i \(-0.280421\pi\)
−0.771355 + 0.636405i \(0.780421\pi\)
\(608\) −31.9443 13.8108i −1.29551 0.560102i
\(609\) 36.6609 + 9.06232i 1.48557 + 0.367224i
\(610\) −7.63572 + 1.03223i −0.309161 + 0.0417939i
\(611\) −0.656847 + 2.16533i −0.0265732 + 0.0876000i
\(612\) −11.2704 28.7910i −0.455578 1.16381i
\(613\) 0.893978 9.07672i 0.0361074 0.366605i −0.960104 0.279643i \(-0.909784\pi\)
0.996212 0.0869624i \(-0.0277160\pi\)
\(614\) −9.47146 1.53000i −0.382237 0.0617456i
\(615\) −0.0654450 0.181133i −0.00263900 0.00730400i
\(616\) 11.8743 14.7801i 0.478430 0.595505i
\(617\) 1.78563 + 8.97696i 0.0718867 + 0.361399i 0.999939 0.0110513i \(-0.00351781\pi\)
−0.928052 + 0.372450i \(0.878518\pi\)
\(618\) −0.720332 + 3.44475i −0.0289760 + 0.138568i
\(619\) −35.7221 19.0939i −1.43579 0.767448i −0.444089 0.895983i \(-0.646473\pi\)
−0.991705 + 0.128535i \(0.958973\pi\)
\(620\) −25.8889 18.2811i −1.03972 0.734187i
\(621\) −4.87224 + 0.769128i −0.195516 + 0.0308640i
\(622\) 18.0561 + 1.12054i 0.723984 + 0.0449296i
\(623\) 34.2930 14.2046i 1.37392 0.569097i
\(624\) 10.9430 + 8.96930i 0.438070 + 0.359059i
\(625\) 8.67591 + 3.59368i 0.347036 + 0.143747i
\(626\) −31.6352 15.4645i −1.26440 0.618087i
\(627\) −3.03665 + 20.9182i −0.121272 + 0.835394i
\(628\) −25.4739 26.8226i −1.01652 1.07034i
\(629\) 15.5418 + 51.2344i 0.619692 + 2.04285i
\(630\) −16.0614 17.9610i −0.639901 0.715583i
\(631\) 17.9969 + 12.0251i 0.716445 + 0.478713i 0.859587 0.510989i \(-0.170721\pi\)
−0.143142 + 0.989702i \(0.545721\pi\)
\(632\) −2.17384 + 5.40665i −0.0864707 + 0.215065i
\(633\) −32.5381 15.2660i −1.29327 0.606771i
\(634\) −15.0549 + 24.3986i −0.597906 + 0.968994i
\(635\) −13.3692 16.2904i −0.530541 0.646466i
\(636\) −29.2050 27.7020i −1.15805 1.09846i
\(637\) 7.95868 4.25400i 0.315334 0.168550i
\(638\) 15.6440 9.10459i 0.619351 0.360454i
\(639\) −7.22549 + 13.7220i −0.285836 + 0.542835i
\(640\) 6.26359 17.9532i 0.247590 0.709663i
\(641\) 31.3388i 1.23781i −0.785467 0.618903i \(-0.787577\pi\)
0.785467 0.618903i \(-0.212423\pi\)
\(642\) −11.2559 6.15885i −0.444236 0.243070i
\(643\) −5.89884 11.0360i −0.232628 0.435215i 0.738339 0.674429i \(-0.235610\pi\)
−0.970967 + 0.239214i \(0.923110\pi\)
\(644\) −6.18524 + 1.70343i −0.243733 + 0.0671246i
\(645\) −22.2939 7.89898i −0.877823 0.311022i
\(646\) 38.1552 + 23.5432i 1.50120 + 0.926294i
\(647\) −7.78251 + 5.20011i −0.305962 + 0.204437i −0.699067 0.715056i \(-0.746401\pi\)
0.393105 + 0.919494i \(0.371401\pi\)
\(648\) −21.4829 13.6559i −0.843929 0.536455i
\(649\) −5.45648 + 8.16620i −0.214186 + 0.320552i
\(650\) −2.19273 + 5.88785i −0.0860060 + 0.230940i
\(651\) −36.9331 + 41.0043i −1.44752 + 1.60708i
\(652\) 18.9732 + 19.9778i 0.743050 + 0.782390i
\(653\) −20.6466 + 25.1579i −0.807963 + 0.984506i 0.192032 + 0.981389i \(0.438492\pi\)
−0.999995 + 0.00311758i \(0.999008\pi\)
\(654\) −1.28433 + 0.113811i −0.0502212 + 0.00445037i
\(655\) 10.9507 26.4374i 0.427880 1.03299i
\(656\) −0.177237 0.196529i −0.00691995 0.00767315i
\(657\) −1.77254 + 19.2184i −0.0691535 + 0.749781i
\(658\) 0.327964 5.28472i 0.0127854 0.206020i
\(659\) −0.234093 2.37679i −0.00911897 0.0925865i 0.989548 0.144204i \(-0.0460622\pi\)
−0.998667 + 0.0516178i \(0.983562\pi\)
\(660\) −11.5190 0.828136i −0.448376 0.0322351i
\(661\) 2.30363 4.30979i 0.0896009 0.167632i −0.833129 0.553079i \(-0.813453\pi\)
0.922730 + 0.385447i \(0.125953\pi\)
\(662\) 18.2791 19.6526i 0.710436 0.763821i
\(663\) −12.2829 13.4679i −0.477027 0.523048i
\(664\) 4.23267 + 38.8264i 0.164259 + 1.50676i
\(665\) 34.2683 + 6.81638i 1.32887 + 0.264328i
\(666\) 35.2295 + 26.4951i 1.36512 + 1.02666i
\(667\) −6.09546 0.600351i −0.236017 0.0232457i
\(668\) −10.4409 + 12.0736i −0.403970 + 0.467141i
\(669\) 18.3180 4.64884i 0.708214 0.179735i
\(670\) 2.06175 + 15.2513i 0.0796523 + 0.589211i
\(671\) 4.54713 + 4.54713i 0.175540 + 0.175540i
\(672\) −29.7542 14.5221i −1.14779 0.560202i
\(673\) 2.65216 2.65216i 0.102233 0.102233i −0.654140 0.756373i \(-0.726969\pi\)
0.756373 + 0.654140i \(0.226969\pi\)
\(674\) 32.2328 + 24.5558i 1.24156 + 0.945856i
\(675\) 2.64442 10.9900i 0.101784 0.423005i
\(676\) −16.7603 5.55993i −0.644628 0.213843i
\(677\) 3.31544 33.6622i 0.127423 1.29375i −0.692561 0.721359i \(-0.743518\pi\)
0.819984 0.572386i \(-0.193982\pi\)
\(678\) −30.9747 13.1869i −1.18957 0.506438i
\(679\) 5.10571 25.6681i 0.195939 0.985052i
\(680\) −11.3216 + 21.7223i −0.434165 + 0.833012i
\(681\) 20.4183 + 22.3882i 0.782431 + 0.857916i
\(682\) 0.957171 + 26.4330i 0.0366520 + 1.01217i
\(683\) 2.12303 + 1.13478i 0.0812355 + 0.0434213i 0.511514 0.859275i \(-0.329085\pi\)
−0.430279 + 0.902696i \(0.641585\pi\)
\(684\) 36.7991 2.89817i 1.40705 0.110814i
\(685\) 30.5385 3.00778i 1.16682 0.114922i
\(686\) 9.24587 8.16535i 0.353009 0.311754i
\(687\) −23.3166 17.1809i −0.889583 0.655492i
\(688\) −32.4649 + 1.51419i −1.23771 + 0.0577279i
\(689\) −21.9248 9.08154i −0.835268 0.345979i
\(690\) 2.99645 + 2.50862i 0.114073 + 0.0955015i
\(691\) −15.9040 13.0521i −0.605017 0.496524i 0.281290 0.959623i \(-0.409238\pi\)
−0.886307 + 0.463098i \(0.846738\pi\)
\(692\) −3.15809 1.40457i −0.120053 0.0533939i
\(693\) −3.80069 + 19.7468i −0.144376 + 0.750118i
\(694\) 26.2776 12.0163i 0.997485 0.456134i
\(695\) 10.3530 + 6.91767i 0.392713 + 0.262402i
\(696\) −21.5422 23.1321i −0.816554 0.876819i
\(697\) 0.189411 + 0.283474i 0.00717447 + 0.0107373i
\(698\) −3.65192 + 0.864882i −0.138227 + 0.0327363i
\(699\) −5.68579 2.01454i −0.215056 0.0761968i
\(700\) 1.81778 14.5892i 0.0687056 0.551420i
\(701\) 15.0549 8.04702i 0.568616 0.303932i −0.161922 0.986804i \(-0.551769\pi\)
0.730538 + 0.682872i \(0.239269\pi\)
\(702\) −14.7084 2.98057i −0.555134 0.112494i
\(703\) −63.9206 −2.41081
\(704\) −15.0866 + 4.92177i −0.568599 + 0.185496i
\(705\) −2.76129 + 1.66671i −0.103996 + 0.0627721i
\(706\) 1.57260 5.95156i 0.0591855 0.223990i
\(707\) 12.6610 + 23.6871i 0.476167 + 0.890846i
\(708\) 16.0136 + 6.14292i 0.601829 + 0.230865i
\(709\) 20.6563 16.9522i 0.775764 0.636653i −0.160865 0.986976i \(-0.551428\pi\)
0.936629 + 0.350323i \(0.113928\pi\)
\(710\) 11.9559 2.83151i 0.448697 0.106265i
\(711\) −0.643969 6.14715i −0.0241507 0.230536i
\(712\) −30.5334 5.74366i −1.14429 0.215253i
\(713\) 4.97259 7.44200i 0.186225 0.278705i
\(714\) 35.2311 + 24.0429i 1.31849 + 0.899781i
\(715\) −6.51533 + 1.97640i −0.243659 + 0.0739133i
\(716\) −5.85545 15.2359i −0.218829 0.569394i
\(717\) −5.87932 + 40.5003i −0.219567 + 1.51251i
\(718\) −1.40567 4.09424i −0.0524593 0.152796i
\(719\) −8.23983 + 19.8927i −0.307294 + 0.741873i 0.692497 + 0.721421i \(0.256511\pi\)
−0.999791 + 0.0204520i \(0.993489\pi\)
\(720\) 3.03350 + 19.9385i 0.113052 + 0.743062i
\(721\) −1.85791 4.48540i −0.0691923 0.167045i
\(722\) −19.9806 + 17.6456i −0.743601 + 0.656700i
\(723\) 27.8537 20.7920i 1.03589 0.773261i
\(724\) −5.57502 1.25918i −0.207194 0.0467969i
\(725\) 6.61660 12.3788i 0.245734 0.459737i
\(726\) −9.47337 14.4829i −0.351590 0.537510i
\(727\) −32.9371 + 6.55160i −1.22157 + 0.242985i −0.763428 0.645893i \(-0.776485\pi\)
−0.458142 + 0.888879i \(0.651485\pi\)
\(728\) −19.4441 1.71087i −0.720647 0.0634092i
\(729\) 26.9146 + 2.14598i 0.996836 + 0.0794807i
\(730\) 12.3981 8.94961i 0.458873 0.331240i
\(731\) 41.6673 + 4.10387i 1.54112 + 0.151787i
\(732\) 5.99034 9.49885i 0.221409 0.351088i
\(733\) 23.2943 + 7.06625i 0.860394 + 0.260998i 0.689495 0.724291i \(-0.257833\pi\)
0.170900 + 0.985288i \(0.445333\pi\)
\(734\) −30.0334 22.8803i −1.10855 0.844526i
\(735\) 12.4872 + 3.08674i 0.460596 + 0.113856i
\(736\) 5.11411 + 1.63761i 0.188509 + 0.0603630i
\(737\) 9.08229 9.08229i 0.334550 0.334550i
\(738\) 0.263651 + 0.0963297i 0.00970511 + 0.00354595i
\(739\) 41.2461 + 12.5119i 1.51726 + 0.460257i 0.935567 0.353149i \(-0.114889\pi\)
0.581697 + 0.813406i \(0.302389\pi\)
\(740\) −2.52596 34.8323i −0.0928560 1.28046i
\(741\) 19.6436 9.36540i 0.721626 0.344047i
\(742\) 54.8205 + 8.85557i 2.01252 + 0.325098i
\(743\) 2.15438 10.8308i 0.0790365 0.397343i −0.920934 0.389718i \(-0.872573\pi\)
0.999971 0.00762570i \(-0.00242736\pi\)
\(744\) 44.6510 11.8279i 1.63698 0.433633i
\(745\) 18.4285 3.66565i 0.675167 0.134299i
\(746\) −33.4963 + 36.0134i −1.22639 + 1.31854i
\(747\) −23.2281 34.3007i −0.849871 1.25500i
\(748\) 20.1470 3.47010i 0.736648 0.126880i
\(749\) 17.6153 1.73495i 0.643648 0.0633938i
\(750\) −26.1864 + 13.6690i −0.956193 + 0.499122i
\(751\) −5.89499 14.2318i −0.215111 0.519324i 0.779084 0.626920i \(-0.215685\pi\)
−0.994195 + 0.107596i \(0.965685\pi\)
\(752\) −2.64891 + 3.55319i −0.0965959 + 0.129572i
\(753\) 5.42225 0.821510i 0.197598 0.0299375i
\(754\) −16.7419 8.18409i −0.609705 0.298047i
\(755\) 17.8457 + 14.6456i 0.649472 + 0.533008i
\(756\) 35.0987 1.14492i 1.27653 0.0416405i
\(757\) −34.4731 + 10.4573i −1.25295 + 0.380077i −0.845905 0.533334i \(-0.820939\pi\)
−0.407040 + 0.913410i \(0.633439\pi\)
\(758\) −15.1321 + 40.6322i −0.549623 + 1.47583i
\(759\) 0.149929 3.25804i 0.00544208 0.118260i
\(760\) −20.8936 20.4630i −0.757890 0.742271i
\(761\) 19.9701 + 29.8874i 0.723917 + 1.08342i 0.992746 + 0.120230i \(0.0383633\pi\)
−0.268829 + 0.963188i \(0.586637\pi\)
\(762\) 30.7130 + 0.300698i 1.11262 + 0.0108931i
\(763\) 1.37497 1.12841i 0.0497774 0.0408512i
\(764\) −10.3967 5.90672i −0.376140 0.213698i
\(765\) −0.161172 25.9811i −0.00582720 0.939348i
\(766\) 17.6255 10.2578i 0.636833 0.370629i
\(767\) 10.1116 0.365107
\(768\) 14.2030 + 23.7965i 0.512507 + 0.858683i
\(769\) 21.0088 0.757597 0.378799 0.925479i \(-0.376337\pi\)
0.378799 + 0.925479i \(0.376337\pi\)
\(770\) 13.7697 8.01380i 0.496226 0.288797i
\(771\) −15.5491 9.25436i −0.559989 0.333288i
\(772\) −1.60662 0.912770i −0.0578234 0.0328513i
\(773\) −1.08145 + 0.887527i −0.0388972 +