Properties

Label 384.2.w.a.11.3
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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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 11.3
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41282 - 0.0626704i) q^{2} +(1.71388 - 0.250263i) q^{3} +(1.99214 + 0.177085i) q^{4} +(1.34559 + 0.719232i) q^{5} +(-2.43709 + 0.246168i) q^{6} +(2.49948 + 0.497176i) q^{7} +(-2.80345 - 0.375038i) q^{8} +(2.87474 - 0.857839i) q^{9} +O(q^{10})\) \(q+(-1.41282 - 0.0626704i) q^{2} +(1.71388 - 0.250263i) q^{3} +(1.99214 + 0.177085i) q^{4} +(1.34559 + 0.719232i) q^{5} +(-2.43709 + 0.246168i) q^{6} +(2.49948 + 0.497176i) q^{7} +(-2.80345 - 0.375038i) q^{8} +(2.87474 - 0.857839i) q^{9} +(-1.85601 - 1.10048i) q^{10} +(-0.433718 + 0.355943i) q^{11} +(3.45861 - 0.195059i) q^{12} +(0.780211 - 0.417031i) q^{13} +(-3.50016 - 0.859066i) q^{14} +(2.48617 + 0.895924i) q^{15} +(3.93728 + 0.705556i) q^{16} +(-4.49075 + 1.86013i) q^{17} +(-4.11526 + 1.03181i) q^{18} +(-0.781779 + 2.57718i) q^{19} +(2.55324 + 1.67110i) q^{20} +(4.40821 + 0.226572i) q^{21} +(0.635074 - 0.475704i) q^{22} +(-2.97104 - 1.98519i) q^{23} +(-4.89863 + 0.0588324i) q^{24} +(-1.48454 - 2.22177i) q^{25} +(-1.12844 + 0.540296i) q^{26} +(4.71226 - 2.18967i) q^{27} +(4.89127 + 1.43307i) q^{28} +(-0.665484 - 0.546148i) q^{29} +(-3.45637 - 1.42159i) q^{30} +(-0.843718 + 0.843718i) q^{31} +(-5.51847 - 1.24358i) q^{32} +(-0.654259 + 0.718586i) q^{33} +(6.46121 - 2.34660i) q^{34} +(3.00568 + 2.46670i) q^{35} +(5.87880 - 1.19987i) q^{36} +(-1.46960 - 4.84463i) q^{37} +(1.26603 - 3.59211i) q^{38} +(1.23282 - 0.909998i) q^{39} +(-3.50256 - 2.52098i) q^{40} +(5.55397 + 3.71104i) q^{41} +(-6.21383 - 0.596371i) q^{42} +(-0.716820 + 7.27799i) q^{43} +(-0.927061 + 0.632285i) q^{44} +(4.48520 + 0.913305i) q^{45} +(4.07315 + 2.99092i) q^{46} +(10.0843 - 4.17707i) q^{47} +(6.92459 + 0.223879i) q^{48} +(-0.466966 - 0.193424i) q^{49} +(1.95815 + 3.23200i) q^{50} +(-7.23106 + 4.31190i) q^{51} +(1.62814 - 0.692624i) q^{52} +(5.81596 - 4.77304i) q^{53} +(-6.79482 + 2.79830i) q^{54} +(-0.839612 + 0.167009i) q^{55} +(-6.82070 - 2.33121i) q^{56} +(-0.694899 + 4.61261i) q^{57} +(0.905984 + 0.813318i) q^{58} +(1.73383 + 0.926751i) q^{59} +(4.79416 + 2.22507i) q^{60} +(-0.965330 - 9.80116i) q^{61} +(1.24490 - 1.13915i) q^{62} +(7.61183 - 0.714896i) q^{63} +(7.71869 + 2.10280i) q^{64} +1.34979 q^{65} +(0.969387 - 0.974233i) q^{66} +(-6.69552 + 0.659452i) q^{67} +(-9.27562 + 2.91040i) q^{68} +(-5.58882 - 2.65882i) q^{69} +(-4.09191 - 3.67338i) q^{70} +(-10.3915 - 2.06699i) q^{71} +(-8.38091 + 1.32678i) q^{72} +(0.0239781 + 0.120546i) q^{73} +(1.77268 + 6.93671i) q^{74} +(-3.10034 - 3.43630i) q^{75} +(-2.01379 + 4.99567i) q^{76} +(-1.26103 + 0.674037i) q^{77} +(-1.79878 + 1.20841i) q^{78} +(-3.63455 + 8.77457i) q^{79} +(4.79051 + 3.78121i) q^{80} +(7.52822 - 4.93212i) q^{81} +(-7.61421 - 5.59112i) q^{82} +(-2.47203 + 8.14918i) q^{83} +(8.74168 + 1.23199i) q^{84} +(-7.38057 - 0.726922i) q^{85} +(1.46886 - 10.2376i) q^{86} +(-1.27724 - 0.769484i) q^{87} +(1.34940 - 0.835209i) q^{88} +(-0.873495 - 1.30728i) q^{89} +(-6.27956 - 1.57143i) q^{90} +(2.15746 - 0.654457i) q^{91} +(-5.56720 - 4.48091i) q^{92} +(-1.23488 + 1.65718i) q^{93} +(-14.5092 + 5.26948i) q^{94} +(-2.90554 + 2.90554i) q^{95} +(-9.76919 - 0.750268i) q^{96} +(-12.4636 - 12.4636i) q^{97} +(0.647619 + 0.302539i) q^{98} +(-0.941483 + 1.39530i) 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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41282 0.0626704i −0.999018 0.0443147i
\(3\) 1.71388 0.250263i 0.989506 0.144489i
\(4\) 1.99214 + 0.177085i 0.996072 + 0.0885423i
\(5\) 1.34559 + 0.719232i 0.601766 + 0.321651i 0.743997 0.668183i \(-0.232928\pi\)
−0.142231 + 0.989833i \(0.545428\pi\)
\(6\) −2.43709 + 0.246168i −0.994937 + 0.100498i
\(7\) 2.49948 + 0.497176i 0.944713 + 0.187915i 0.643331 0.765588i \(-0.277552\pi\)
0.301382 + 0.953503i \(0.402552\pi\)
\(8\) −2.80345 0.375038i −0.991170 0.132596i
\(9\) 2.87474 0.857839i 0.958246 0.285946i
\(10\) −1.85601 1.10048i −0.586921 0.348002i
\(11\) −0.433718 + 0.355943i −0.130771 + 0.107321i −0.697505 0.716580i \(-0.745707\pi\)
0.566734 + 0.823901i \(0.308207\pi\)
\(12\) 3.45861 0.195059i 0.998413 0.0563088i
\(13\) 0.780211 0.417031i 0.216392 0.115664i −0.359640 0.933091i \(-0.617101\pi\)
0.576032 + 0.817427i \(0.304601\pi\)
\(14\) −3.50016 0.859066i −0.935457 0.229595i
\(15\) 2.48617 + 0.895924i 0.641926 + 0.231326i
\(16\) 3.93728 + 0.705556i 0.984321 + 0.176389i
\(17\) −4.49075 + 1.86013i −1.08917 + 0.451147i −0.853716 0.520739i \(-0.825656\pi\)
−0.235450 + 0.971886i \(0.575656\pi\)
\(18\) −4.11526 + 1.03181i −0.969976 + 0.243201i
\(19\) −0.781779 + 2.57718i −0.179352 + 0.591245i 0.820457 + 0.571708i \(0.193719\pi\)
−0.999809 + 0.0195368i \(0.993781\pi\)
\(20\) 2.55324 + 1.67110i 0.570923 + 0.373669i
\(21\) 4.40821 + 0.226572i 0.961951 + 0.0494422i
\(22\) 0.635074 0.475704i 0.135398 0.101420i
\(23\) −2.97104 1.98519i −0.619505 0.413940i 0.205826 0.978589i \(-0.434012\pi\)
−0.825332 + 0.564648i \(0.809012\pi\)
\(24\) −4.89863 + 0.0588324i −0.999928 + 0.0120091i
\(25\) −1.48454 2.22177i −0.296907 0.444353i
\(26\) −1.12844 + 0.540296i −0.221305 + 0.105961i
\(27\) 4.71226 2.18967i 0.906874 0.421402i
\(28\) 4.89127 + 1.43307i 0.924364 + 0.270824i
\(29\) −0.665484 0.546148i −0.123577 0.101417i 0.570575 0.821246i \(-0.306720\pi\)
−0.694152 + 0.719828i \(0.744220\pi\)
\(30\) −3.45637 1.42159i −0.631044 0.259546i
\(31\) −0.843718 + 0.843718i −0.151536 + 0.151536i −0.778804 0.627268i \(-0.784173\pi\)
0.627268 + 0.778804i \(0.284173\pi\)
\(32\) −5.51847 1.24358i −0.975537 0.219836i
\(33\) −0.654259 + 0.718586i −0.113892 + 0.125090i
\(34\) 6.46121 2.34660i 1.10809 0.402438i
\(35\) 3.00568 + 2.46670i 0.508053 + 0.416948i
\(36\) 5.87880 1.19987i 0.979800 0.199978i
\(37\) −1.46960 4.84463i −0.241601 0.796453i −0.990945 0.134271i \(-0.957131\pi\)
0.749343 0.662182i \(-0.230369\pi\)
\(38\) 1.26603 3.59211i 0.205377 0.582717i
\(39\) 1.23282 0.909998i 0.197409 0.145716i
\(40\) −3.50256 2.52098i −0.553803 0.398602i
\(41\) 5.55397 + 3.71104i 0.867384 + 0.579568i 0.907700 0.419619i \(-0.137836\pi\)
−0.0403158 + 0.999187i \(0.512836\pi\)
\(42\) −6.21383 0.596371i −0.958815 0.0920221i
\(43\) −0.716820 + 7.27799i −0.109314 + 1.10988i 0.771438 + 0.636305i \(0.219538\pi\)
−0.880752 + 0.473579i \(0.842962\pi\)
\(44\) −0.927061 + 0.632285i −0.139760 + 0.0953206i
\(45\) 4.48520 + 0.913305i 0.668614 + 0.136147i
\(46\) 4.07315 + 2.99092i 0.600553 + 0.440987i
\(47\) 10.0843 4.17707i 1.47095 0.609288i 0.503876 0.863776i \(-0.331907\pi\)
0.967076 + 0.254488i \(0.0819069\pi\)
\(48\) 6.92459 + 0.223879i 0.999478 + 0.0323142i
\(49\) −0.466966 0.193424i −0.0667094 0.0276319i
\(50\) 1.95815 + 3.23200i 0.276924 + 0.457074i
\(51\) −7.23106 + 4.31190i −1.01255 + 0.603786i
\(52\) 1.62814 0.692624i 0.225783 0.0960496i
\(53\) 5.81596 4.77304i 0.798884 0.655627i −0.143691 0.989623i \(-0.545897\pi\)
0.942575 + 0.333996i \(0.108397\pi\)
\(54\) −6.79482 + 2.79830i −0.924657 + 0.380800i
\(55\) −0.839612 + 0.167009i −0.113213 + 0.0225195i
\(56\) −6.82070 2.33121i −0.911454 0.311521i
\(57\) −0.694899 + 4.61261i −0.0920416 + 0.610955i
\(58\) 0.905984 + 0.813318i 0.118962 + 0.106794i
\(59\) 1.73383 + 0.926751i 0.225725 + 0.120653i 0.580383 0.814343i \(-0.302903\pi\)
−0.354658 + 0.934996i \(0.615403\pi\)
\(60\) 4.79416 + 2.22507i 0.618923 + 0.287255i
\(61\) −0.965330 9.80116i −0.123598 1.25491i −0.834258 0.551375i \(-0.814104\pi\)
0.710660 0.703536i \(-0.248396\pi\)
\(62\) 1.24490 1.13915i 0.158103 0.144672i
\(63\) 7.61183 0.714896i 0.959000 0.0900684i
\(64\) 7.71869 + 2.10280i 0.964837 + 0.262850i
\(65\) 1.34979 0.167420
\(66\) 0.969387 0.974233i 0.119323 0.119920i
\(67\) −6.69552 + 0.659452i −0.817988 + 0.0805648i −0.498351 0.866975i \(-0.666061\pi\)
−0.319637 + 0.947540i \(0.603561\pi\)
\(68\) −9.27562 + 2.91040i −1.12483 + 0.352938i
\(69\) −5.58882 2.65882i −0.672815 0.320085i
\(70\) −4.09191 3.67338i −0.489077 0.439053i
\(71\) −10.3915 2.06699i −1.23324 0.245307i −0.464908 0.885359i \(-0.653913\pi\)
−0.768331 + 0.640052i \(0.778913\pi\)
\(72\) −8.38091 + 1.32678i −0.987700 + 0.156362i
\(73\) 0.0239781 + 0.120546i 0.00280642 + 0.0141088i 0.982163 0.188031i \(-0.0602105\pi\)
−0.979357 + 0.202140i \(0.935210\pi\)
\(74\) 1.77268 + 6.93671i 0.206069 + 0.806377i
\(75\) −3.10034 3.43630i −0.357996 0.396790i
\(76\) −2.01379 + 4.99567i −0.230998 + 0.573043i
\(77\) −1.26103 + 0.674037i −0.143708 + 0.0768136i
\(78\) −1.79878 + 1.20841i −0.203672 + 0.136825i
\(79\) −3.63455 + 8.77457i −0.408919 + 0.987217i 0.576504 + 0.817094i \(0.304416\pi\)
−0.985423 + 0.170123i \(0.945584\pi\)
\(80\) 4.79051 + 3.78121i 0.535595 + 0.422752i
\(81\) 7.52822 4.93212i 0.836469 0.548014i
\(82\) −7.61421 5.59112i −0.840849 0.617436i
\(83\) −2.47203 + 8.14918i −0.271340 + 0.894488i 0.710325 + 0.703874i \(0.248548\pi\)
−0.981665 + 0.190614i \(0.938952\pi\)
\(84\) 8.74168 + 1.23199i 0.953795 + 0.134421i
\(85\) −7.38057 0.726922i −0.800535 0.0788458i
\(86\) 1.46886 10.2376i 0.158391 1.10395i
\(87\) −1.27724 0.769484i −0.136934 0.0824974i
\(88\) 1.34940 0.835209i 0.143846 0.0890336i
\(89\) −0.873495 1.30728i −0.0925903 0.138571i 0.782283 0.622924i \(-0.214055\pi\)
−0.874873 + 0.484352i \(0.839055\pi\)
\(90\) −6.27956 1.57143i −0.661924 0.165643i
\(91\) 2.15746 0.654457i 0.226163 0.0686057i
\(92\) −5.56720 4.48091i −0.580421 0.467167i
\(93\) −1.23488 + 1.65718i −0.128051 + 0.171841i
\(94\) −14.5092 + 5.26948i −1.49651 + 0.543505i
\(95\) −2.90554 + 2.90554i −0.298102 + 0.298102i
\(96\) −9.76919 0.750268i −0.997064 0.0765739i
\(97\) −12.4636 12.4636i −1.26549 1.26549i −0.948392 0.317099i \(-0.897291\pi\)
−0.317099 0.948392i \(-0.602709\pi\)
\(98\) 0.647619 + 0.302539i 0.0654194 + 0.0305610i
\(99\) −0.941483 + 1.39530i −0.0946226 + 0.140233i
\(100\) −2.56397 4.68897i −0.256397 0.468897i
\(101\) −4.06757 13.4090i −0.404739 1.33424i −0.888433 0.459007i \(-0.848205\pi\)
0.483694 0.875237i \(-0.339295\pi\)
\(102\) 10.4864 5.63878i 1.03831 0.558322i
\(103\) −12.7945 + 8.54901i −1.26068 + 0.842359i −0.992646 0.121051i \(-0.961373\pi\)
−0.268032 + 0.963410i \(0.586373\pi\)
\(104\) −2.34369 + 0.876519i −0.229817 + 0.0859498i
\(105\) 5.76869 + 3.47540i 0.562966 + 0.339165i
\(106\) −8.51606 + 6.37897i −0.827153 + 0.619581i
\(107\) −1.56275 + 15.8669i −0.151077 + 1.53391i 0.558635 + 0.829414i \(0.311325\pi\)
−0.709711 + 0.704493i \(0.751175\pi\)
\(108\) 9.77525 3.52767i 0.940624 0.339450i
\(109\) 10.5598 + 3.20329i 1.01145 + 0.306819i 0.752160 0.658981i \(-0.229012\pi\)
0.259288 + 0.965800i \(0.416512\pi\)
\(110\) 1.19669 0.183336i 0.114100 0.0174804i
\(111\) −3.73115 7.93531i −0.354145 0.753186i
\(112\) 9.49035 + 3.72104i 0.896754 + 0.351606i
\(113\) −16.0749 6.65843i −1.51220 0.626372i −0.536187 0.844099i \(-0.680136\pi\)
−0.976010 + 0.217727i \(0.930136\pi\)
\(114\) 1.27084 6.47326i 0.119025 0.606276i
\(115\) −2.56999 4.80812i −0.239653 0.448359i
\(116\) −1.22903 1.20585i −0.114112 0.111961i
\(117\) 1.88515 1.86815i 0.174283 0.172711i
\(118\) −2.39152 1.41800i −0.220157 0.130537i
\(119\) −12.1493 + 2.41665i −1.11373 + 0.221534i
\(120\) −6.63385 3.44409i −0.605585 0.314401i
\(121\) −2.08458 + 10.4799i −0.189507 + 0.952716i
\(122\) 0.749599 + 13.9078i 0.0678655 + 1.25915i
\(123\) 10.4475 + 4.97031i 0.942024 + 0.448158i
\(124\) −1.83022 + 1.53140i −0.164358 + 0.137524i
\(125\) −1.14736 11.6493i −0.102623 1.04195i
\(126\) −10.7990 + 0.532986i −0.962050 + 0.0474821i
\(127\) 19.7455i 1.75213i −0.482197 0.876063i \(-0.660161\pi\)
0.482197 0.876063i \(-0.339839\pi\)
\(128\) −10.7734 3.45462i −0.952241 0.305348i
\(129\) 0.592873 + 12.6530i 0.0521995 + 1.11403i
\(130\) −1.90701 0.0845916i −0.167256 0.00741918i
\(131\) 2.95193 0.290739i 0.257911 0.0254020i 0.0317647 0.999495i \(-0.489887\pi\)
0.226146 + 0.974093i \(0.427387\pi\)
\(132\) −1.43063 + 1.31567i −0.124520 + 0.114514i
\(133\) −3.23535 + 6.05291i −0.280540 + 0.524854i
\(134\) 9.50093 0.512078i 0.820755 0.0442368i
\(135\) 7.91564 + 0.442811i 0.681270 + 0.0381111i
\(136\) 13.2872 3.53058i 1.13937 0.302745i
\(137\) 0.452460 + 2.27467i 0.0386562 + 0.194338i 0.995288 0.0969615i \(-0.0309124\pi\)
−0.956632 + 0.291300i \(0.905912\pi\)
\(138\) 7.72939 + 4.10670i 0.657969 + 0.349586i
\(139\) 6.27363 + 7.64443i 0.532122 + 0.648392i 0.967803 0.251709i \(-0.0809925\pi\)
−0.435681 + 0.900101i \(0.643492\pi\)
\(140\) 5.55094 + 5.44628i 0.469140 + 0.460295i
\(141\) 16.2379 9.68271i 1.36748 0.815432i
\(142\) 14.5518 + 3.57153i 1.22116 + 0.299716i
\(143\) −0.189952 + 0.458585i −0.0158846 + 0.0383488i
\(144\) 11.9239 1.34927i 0.993659 0.112439i
\(145\) −0.502660 1.21353i −0.0417436 0.100778i
\(146\) −0.0263222 0.171813i −0.00217844 0.0142193i
\(147\) −0.848728 0.214640i −0.0700019 0.0177032i
\(148\) −2.06975 9.91145i −0.170133 0.814716i
\(149\) 14.4596 + 1.42414i 1.18457 + 0.116670i 0.671055 0.741408i \(-0.265841\pi\)
0.513519 + 0.858078i \(0.328341\pi\)
\(150\) 4.16487 + 5.04919i 0.340061 + 0.412265i
\(151\) −9.04069 + 13.5303i −0.735721 + 1.10108i 0.255233 + 0.966880i \(0.417848\pi\)
−0.990954 + 0.134205i \(0.957152\pi\)
\(152\) 3.15822 6.93180i 0.256165 0.562243i
\(153\) −11.3140 + 9.19972i −0.914685 + 0.743753i
\(154\) 1.82386 0.873266i 0.146971 0.0703698i
\(155\) −1.74213 + 0.528468i −0.139931 + 0.0424476i
\(156\) 2.61710 1.59453i 0.209535 0.127665i
\(157\) −2.73098 + 3.32771i −0.217956 + 0.265580i −0.870498 0.492173i \(-0.836203\pi\)
0.652541 + 0.757753i \(0.273703\pi\)
\(158\) 5.68488 12.1692i 0.452265 0.968126i
\(159\) 8.77332 9.63591i 0.695770 0.764177i
\(160\) −6.53117 5.64241i −0.516335 0.446072i
\(161\) −6.43906 6.43906i −0.507469 0.507469i
\(162\) −10.9452 + 6.49643i −0.859933 + 0.510407i
\(163\) 11.6094 14.1461i 0.909318 1.10801i −0.0844371 0.996429i \(-0.526909\pi\)
0.993756 0.111579i \(-0.0355908\pi\)
\(164\) 10.4071 + 8.37646i 0.812661 + 0.654092i
\(165\) −1.39719 + 0.496357i −0.108771 + 0.0386413i
\(166\) 4.00325 11.3584i 0.310712 0.881585i
\(167\) 5.69668 3.80640i 0.440822 0.294548i −0.315283 0.948998i \(-0.602100\pi\)
0.756106 + 0.654450i \(0.227100\pi\)
\(168\) −12.2732 2.28843i −0.946901 0.176556i
\(169\) −6.78760 + 10.1584i −0.522123 + 0.781412i
\(170\) 10.3819 + 1.48956i 0.796254 + 0.114244i
\(171\) −0.0366031 + 8.07935i −0.00279911 + 0.617843i
\(172\) −2.71683 + 14.3719i −0.207156 + 1.09585i
\(173\) −3.88482 1.17845i −0.295358 0.0895957i 0.139128 0.990274i \(-0.455570\pi\)
−0.434486 + 0.900679i \(0.643070\pi\)
\(174\) 1.75629 + 1.16719i 0.133144 + 0.0884845i
\(175\) −2.60595 6.29132i −0.196991 0.475579i
\(176\) −1.95881 + 1.09544i −0.147651 + 0.0825716i
\(177\) 3.20350 + 1.15442i 0.240790 + 0.0867717i
\(178\) 1.15217 + 1.90170i 0.0863586 + 0.142538i
\(179\) 11.4584 + 21.4372i 0.856442 + 1.60229i 0.796937 + 0.604062i \(0.206452\pi\)
0.0595045 + 0.998228i \(0.481048\pi\)
\(180\) 8.77344 + 2.61370i 0.653933 + 0.194813i
\(181\) 9.54589 + 11.6317i 0.709541 + 0.864578i 0.995607 0.0936321i \(-0.0298477\pi\)
−0.286066 + 0.958210i \(0.592348\pi\)
\(182\) −3.08912 + 0.789424i −0.228981 + 0.0585160i
\(183\) −4.10732 16.5564i −0.303622 1.22388i
\(184\) 7.58466 + 6.67963i 0.559149 + 0.492429i
\(185\) 1.50693 7.57587i 0.110792 0.556989i
\(186\) 1.84852 2.26391i 0.135540 0.165998i
\(187\) 1.28562 2.40522i 0.0940137 0.175887i
\(188\) 20.8292 6.53555i 1.51912 0.476654i
\(189\) 12.8668 3.13020i 0.935923 0.227689i
\(190\) 4.28711 3.92293i 0.311020 0.284599i
\(191\) 5.04916i 0.365344i 0.983174 + 0.182672i \(0.0584747\pi\)
−0.983174 + 0.182672i \(0.941525\pi\)
\(192\) 13.7551 + 1.67224i 0.992691 + 0.120683i
\(193\) 25.1090i 1.80739i −0.428178 0.903694i \(-0.640844\pi\)
0.428178 0.903694i \(-0.359156\pi\)
\(194\) 16.8278 + 18.3900i 1.20817 + 1.32033i
\(195\) 2.31336 0.337801i 0.165663 0.0241905i
\(196\) −0.896011 0.468020i −0.0640008 0.0334300i
\(197\) 4.36122 8.15927i 0.310724 0.581324i −0.677285 0.735721i \(-0.736844\pi\)
0.988009 + 0.154397i \(0.0493435\pi\)
\(198\) 1.41759 1.91231i 0.100744 0.135902i
\(199\) −1.94142 + 9.76017i −0.137624 + 0.691880i 0.848938 + 0.528492i \(0.177242\pi\)
−0.986562 + 0.163388i \(0.947758\pi\)
\(200\) 3.32858 + 6.78537i 0.235366 + 0.479798i
\(201\) −11.3103 + 2.80586i −0.797764 + 0.197910i
\(202\) 4.90642 + 19.1995i 0.345214 + 1.35087i
\(203\) −1.39183 1.69595i −0.0976871 0.119032i
\(204\) −15.1689 + 7.30941i −1.06203 + 0.511761i
\(205\) 4.80426 + 8.98814i 0.335544 + 0.627759i
\(206\) 18.6121 11.2764i 1.29677 0.785665i
\(207\) −10.2439 3.15822i −0.712003 0.219511i
\(208\) 3.36615 1.09149i 0.233400 0.0756811i
\(209\) −0.578258 1.39604i −0.0399989 0.0965659i
\(210\) −7.93233 5.27166i −0.547383 0.363779i
\(211\) −9.30425 2.82241i −0.640531 0.194303i −0.0467207 0.998908i \(-0.514877\pi\)
−0.593810 + 0.804605i \(0.702377\pi\)
\(212\) 12.4315 8.47866i 0.853797 0.582317i
\(213\) −18.3270 0.941965i −1.25574 0.0645424i
\(214\) 3.20227 22.3191i 0.218903 1.52570i
\(215\) −6.19911 + 9.27763i −0.422776 + 0.632729i
\(216\) −14.0318 + 4.37136i −0.954743 + 0.297433i
\(217\) −2.52833 + 1.68938i −0.171634 + 0.114682i
\(218\) −14.7184 5.18747i −0.996858 0.351340i
\(219\) 0.0712637 + 0.200600i 0.00481555 + 0.0135553i
\(220\) −1.70220 + 0.184024i −0.114763 + 0.0124069i
\(221\) −2.72800 + 3.32407i −0.183505 + 0.223601i
\(222\) 4.77415 + 11.4450i 0.320420 + 0.768140i
\(223\) −3.63458 3.63458i −0.243389 0.243389i 0.574861 0.818251i \(-0.305056\pi\)
−0.818251 + 0.574861i \(0.805056\pi\)
\(224\) −13.1750 5.85195i −0.880292 0.391000i
\(225\) −6.17357 5.11350i −0.411571 0.340900i
\(226\) 22.2937 + 10.4146i 1.48295 + 0.692770i
\(227\) −7.53889 + 9.18616i −0.500374 + 0.609707i −0.960546 0.278123i \(-0.910288\pi\)
0.460172 + 0.887830i \(0.347788\pi\)
\(228\) −2.20116 + 9.06594i −0.145775 + 0.600406i
\(229\) 5.71102 1.73242i 0.377395 0.114481i −0.0958877 0.995392i \(-0.530569\pi\)
0.473283 + 0.880911i \(0.343069\pi\)
\(230\) 3.32962 + 6.95409i 0.219549 + 0.458539i
\(231\) −1.99257 + 1.47080i −0.131101 + 0.0967718i
\(232\) 1.66083 + 1.78068i 0.109039 + 0.116908i
\(233\) 0.338483 0.506575i 0.0221747 0.0331869i −0.820217 0.572053i \(-0.806147\pi\)
0.842391 + 0.538866i \(0.181147\pi\)
\(234\) −2.78047 + 2.52123i −0.181765 + 0.164818i
\(235\) 16.5737 + 1.63236i 1.08115 + 0.106484i
\(236\) 3.28992 + 2.15326i 0.214156 + 0.140165i
\(237\) −4.03321 + 15.9481i −0.261985 + 1.03594i
\(238\) 17.3163 2.65290i 1.12245 0.171962i
\(239\) −7.08165 17.0966i −0.458074 1.10589i −0.969176 0.246368i \(-0.920763\pi\)
0.511103 0.859520i \(-0.329237\pi\)
\(240\) 9.15663 + 5.28164i 0.591058 + 0.340928i
\(241\) 5.24434 12.6610i 0.337818 0.815564i −0.660107 0.751172i \(-0.729489\pi\)
0.997925 0.0643927i \(-0.0205110\pi\)
\(242\) 3.60192 14.6756i 0.231540 0.943383i
\(243\) 11.6681 10.3371i 0.748510 0.663124i
\(244\) −0.187443 19.6963i −0.0119998 1.26093i
\(245\) −0.489228 0.596126i −0.0312556 0.0380851i
\(246\) −14.4491 7.67693i −0.921238 0.489463i
\(247\) 0.464812 + 2.33677i 0.0295753 + 0.148685i
\(248\) 2.68175 2.04890i 0.170291 0.130105i
\(249\) −2.19731 + 14.5853i −0.139249 + 0.924308i
\(250\) 0.890947 + 16.5303i 0.0563484 + 1.04547i
\(251\) 13.0066 24.3336i 0.820966 1.53592i −0.0231322 0.999732i \(-0.507364\pi\)
0.844099 0.536188i \(-0.180136\pi\)
\(252\) 15.2905 0.0762386i 0.963209 0.00480258i
\(253\) 1.99521 0.196511i 0.125438 0.0123545i
\(254\) −1.23746 + 27.8969i −0.0776449 + 1.75040i
\(255\) −12.8313 + 0.601228i −0.803527 + 0.0376504i
\(256\) 15.0044 + 5.55595i 0.937774 + 0.347247i
\(257\) 20.7954i 1.29718i 0.761137 + 0.648591i \(0.224642\pi\)
−0.761137 + 0.648591i \(0.775358\pi\)
\(258\) −0.0446585 17.9136i −0.00278031 1.11525i
\(259\) −1.26460 12.8397i −0.0785783 0.797819i
\(260\) 2.68897 + 0.239026i 0.166763 + 0.0148238i
\(261\) −2.38160 0.999155i −0.147417 0.0618461i
\(262\) −4.18877 + 0.225765i −0.258783 + 0.0139478i
\(263\) 1.93302 9.71795i 0.119195 0.599234i −0.874302 0.485381i \(-0.838681\pi\)
0.993498 0.113853i \(-0.0363193\pi\)
\(264\) 2.10368 1.76915i 0.129473 0.108884i
\(265\) 11.2588 2.23952i 0.691624 0.137573i
\(266\) 4.95032 8.34894i 0.303523 0.511906i
\(267\) −1.82422 2.02191i −0.111641 0.123739i
\(268\) −13.4552 + 0.128049i −0.821909 + 0.00782186i
\(269\) 4.44265 + 8.31162i 0.270873 + 0.506768i 0.980174 0.198137i \(-0.0634893\pi\)
−0.709301 + 0.704906i \(0.750989\pi\)
\(270\) −11.1557 1.12169i −0.678912 0.0682639i
\(271\) 10.5817 + 4.38306i 0.642790 + 0.266252i 0.680176 0.733049i \(-0.261903\pi\)
−0.0373866 + 0.999301i \(0.511903\pi\)
\(272\) −18.9938 + 4.15538i −1.15167 + 0.251957i
\(273\) 3.53382 1.66159i 0.213877 0.100564i
\(274\) −0.496692 3.24206i −0.0300062 0.195860i
\(275\) 1.43469 + 0.435209i 0.0865152 + 0.0262441i
\(276\) −10.6629 6.28645i −0.641831 0.378400i
\(277\) −2.25496 + 22.8950i −0.135487 + 1.37563i 0.651496 + 0.758652i \(0.274142\pi\)
−0.786983 + 0.616974i \(0.788358\pi\)
\(278\) −8.38445 11.1934i −0.502866 0.671336i
\(279\) −1.70169 + 3.14924i −0.101878 + 0.188540i
\(280\) −7.50118 8.04252i −0.448281 0.480632i
\(281\) −25.0265 + 16.7222i −1.49296 + 0.997561i −0.501782 + 0.864994i \(0.667322\pi\)
−0.991174 + 0.132567i \(0.957678\pi\)
\(282\) −23.5482 + 12.6623i −1.40227 + 0.754031i
\(283\) −6.32219 20.8415i −0.375815 1.23890i −0.917304 0.398188i \(-0.869639\pi\)
0.541488 0.840708i \(-0.317861\pi\)
\(284\) −20.3353 5.95791i −1.20668 0.353537i
\(285\) −4.25259 + 5.70689i −0.251902 + 0.338047i
\(286\) 0.297108 0.635995i 0.0175684 0.0376072i
\(287\) 12.0370 + 12.0370i 0.710520 + 0.710520i
\(288\) −16.9309 + 1.15900i −0.997665 + 0.0682948i
\(289\) 4.68592 4.68592i 0.275642 0.275642i
\(290\) 0.634118 + 1.74600i 0.0372367 + 0.102529i
\(291\) −24.4803 18.2419i −1.43506 1.06936i
\(292\) 0.0264210 + 0.244391i 0.00154617 + 0.0143019i
\(293\) −8.16714 + 2.47748i −0.477129 + 0.144736i −0.519684 0.854359i \(-0.673950\pi\)
0.0425546 + 0.999094i \(0.486450\pi\)
\(294\) 1.18565 + 0.356438i 0.0691486 + 0.0207879i
\(295\) 1.66647 + 2.49405i 0.0970257 + 0.145209i
\(296\) 2.30304 + 14.1329i 0.133862 + 0.821455i
\(297\) −1.26439 + 2.62699i −0.0733674 + 0.152434i
\(298\) −20.3396 2.91825i −1.17824 0.169050i
\(299\) −3.14593 0.309847i −0.181934 0.0179189i
\(300\) −5.56780 7.39464i −0.321457 0.426930i
\(301\) −5.41012 + 17.8348i −0.311834 + 1.02798i
\(302\) 13.6209 18.5494i 0.783792 1.06740i
\(303\) −10.3271 21.9634i −0.593276 1.26176i
\(304\) −4.89643 + 9.59549i −0.280829 + 0.550339i
\(305\) 5.75038 13.8826i 0.329266 0.794917i
\(306\) 16.5613 12.2885i 0.946745 0.702489i
\(307\) 12.8408 6.86357i 0.732865 0.391725i −0.0623479 0.998054i \(-0.519859\pi\)
0.795213 + 0.606330i \(0.207359\pi\)
\(308\) −2.63152 + 1.11947i −0.149945 + 0.0637877i
\(309\) −19.7887 + 17.8539i −1.12574 + 1.01567i
\(310\) 2.49444 0.637453i 0.141675 0.0362049i
\(311\) −1.01727 5.11416i −0.0576841 0.289998i 0.941166 0.337945i \(-0.109732\pi\)
−0.998850 + 0.0479477i \(0.984732\pi\)
\(312\) −3.79743 + 2.08878i −0.214987 + 0.118254i
\(313\) −13.8805 2.76100i −0.784570 0.156061i −0.213479 0.976948i \(-0.568480\pi\)
−0.571091 + 0.820887i \(0.693480\pi\)
\(314\) 4.06695 4.53032i 0.229511 0.255661i
\(315\) 10.7566 + 4.51272i 0.606064 + 0.254263i
\(316\) −8.79439 + 16.8366i −0.494723 + 0.947133i
\(317\) 25.7074 2.53196i 1.44387 0.142209i 0.654471 0.756087i \(-0.272891\pi\)
0.789401 + 0.613878i \(0.210391\pi\)
\(318\) −12.9990 + 13.0640i −0.728950 + 0.732594i
\(319\) 0.483030 0.0270445
\(320\) 8.87379 + 8.38104i 0.496060 + 0.468514i
\(321\) 1.29253 + 27.5849i 0.0721420 + 1.53964i
\(322\) 8.69372 + 9.50080i 0.484482 + 0.529459i
\(323\) −1.28311 13.0277i −0.0713943 0.724879i
\(324\) 15.8707 8.49237i 0.881706 0.471798i
\(325\) −2.08480 1.11435i −0.115644 0.0618129i
\(326\) −17.2886 + 19.2584i −0.957526 + 1.06662i
\(327\) 18.8999 + 2.84730i 1.04517 + 0.157456i
\(328\) −14.1785 12.4867i −0.782877 0.689462i
\(329\) 27.2823 5.42679i 1.50412 0.299188i
\(330\) 2.00510 0.613702i 0.110377 0.0337832i
\(331\) 1.77728 1.45858i 0.0976882 0.0801706i −0.584281 0.811551i \(-0.698624\pi\)
0.681970 + 0.731380i \(0.261124\pi\)
\(332\) −6.36773 + 15.7966i −0.349474 + 0.866950i
\(333\) −8.38064 12.6664i −0.459256 0.694112i
\(334\) −8.28695 + 5.02076i −0.453442 + 0.274724i
\(335\) −9.48372 3.92829i −0.518151 0.214625i
\(336\) 17.1965 + 4.00232i 0.938147 + 0.218345i
\(337\) −27.2424 + 11.2842i −1.48399 + 0.614688i −0.969999 0.243109i \(-0.921833\pi\)
−0.513989 + 0.857797i \(0.671833\pi\)
\(338\) 10.2263 13.9266i 0.556238 0.757507i
\(339\) −29.2167 7.38877i −1.58683 0.401303i
\(340\) −14.5744 2.75512i −0.790409 0.149417i
\(341\) 0.0656200 0.666251i 0.00355352 0.0360795i
\(342\) 0.558050 11.4124i 0.0301759 0.617112i
\(343\) −15.9037 10.6265i −0.858718 0.573777i
\(344\) 4.73909 20.1347i 0.255515 1.08559i
\(345\) −5.60794 7.59734i −0.301921 0.409027i
\(346\) 5.41472 + 1.90840i 0.291097 + 0.102596i
\(347\) 0.818961 + 2.69975i 0.0439641 + 0.144930i 0.976175 0.216986i \(-0.0696226\pi\)
−0.932211 + 0.361916i \(0.882123\pi\)
\(348\) −2.40818 1.75910i −0.129092 0.0942978i
\(349\) 22.4300 + 18.4079i 1.20065 + 0.985350i 0.999984 + 0.00569048i \(0.00181135\pi\)
0.200668 + 0.979659i \(0.435689\pi\)
\(350\) 3.28747 + 9.05185i 0.175723 + 0.483842i
\(351\) 2.76339 3.67356i 0.147499 0.196080i
\(352\) 2.83610 1.42490i 0.151165 0.0759474i
\(353\) 6.68582 6.68582i 0.355851 0.355851i −0.506430 0.862281i \(-0.669035\pi\)
0.862281 + 0.506430i \(0.169035\pi\)
\(354\) −4.45363 1.83176i −0.236708 0.0973569i
\(355\) −12.4960 10.2552i −0.663218 0.544289i
\(356\) −1.50863 2.75897i −0.0799572 0.146225i
\(357\) −20.2176 + 7.18236i −1.07003 + 0.380131i
\(358\) −14.8452 31.0051i −0.784596 1.63867i
\(359\) 19.8156 + 29.6562i 1.04583 + 1.56519i 0.803778 + 0.594929i \(0.202820\pi\)
0.242050 + 0.970264i \(0.422180\pi\)
\(360\) −12.2315 4.24253i −0.644658 0.223601i
\(361\) 9.76725 + 6.52627i 0.514066 + 0.343488i
\(362\) −12.7577 17.0318i −0.670530 0.895172i
\(363\) −0.949980 + 18.4829i −0.0498610 + 0.970101i
\(364\) 4.41386 0.921721i 0.231349 0.0483113i
\(365\) −0.0544359 + 0.179451i −0.00284931 + 0.00939291i
\(366\) 4.76533 + 23.6487i 0.249088 + 1.23614i
\(367\) 17.0060 7.04413i 0.887708 0.367701i 0.108227 0.994126i \(-0.465483\pi\)
0.779481 + 0.626426i \(0.215483\pi\)
\(368\) −10.2972 9.91248i −0.536777 0.516724i
\(369\) 19.1497 + 5.90386i 0.996893 + 0.307343i
\(370\) −2.60382 + 10.6089i −0.135366 + 0.551532i
\(371\) 16.9099 9.03853i 0.877918 0.469257i
\(372\) −2.75351 + 3.08266i −0.142763 + 0.159829i
\(373\) −8.96594 + 7.35816i −0.464239 + 0.380991i −0.837236 0.546842i \(-0.815830\pi\)
0.372997 + 0.927832i \(0.378330\pi\)
\(374\) −1.96709 + 3.31759i −0.101716 + 0.171548i
\(375\) −4.88182 19.6783i −0.252096 1.01618i
\(376\) −29.8375 + 7.92821i −1.53875 + 0.408866i
\(377\) −0.746978 0.148583i −0.0384713 0.00765243i
\(378\) −18.3747 + 3.61606i −0.945094 + 0.185990i
\(379\) 17.5795 + 9.39644i 0.902999 + 0.482663i 0.856436 0.516253i \(-0.172673\pi\)
0.0465622 + 0.998915i \(0.485173\pi\)
\(380\) −6.30279 + 5.27374i −0.323326 + 0.270537i
\(381\) −4.94156 33.8412i −0.253164 1.73374i
\(382\) 0.316433 7.13357i 0.0161901 0.364985i
\(383\) 18.8238 0.961851 0.480925 0.876762i \(-0.340301\pi\)
0.480925 + 0.876762i \(0.340301\pi\)
\(384\) −19.3288 3.22462i −0.986368 0.164555i
\(385\) −2.18162 −0.111186
\(386\) −1.57359 + 35.4747i −0.0800938 + 1.80561i
\(387\) 4.18268 + 21.5372i 0.212618 + 1.09480i
\(388\) −22.6223 27.0365i −1.14847 1.37257i
\(389\) −1.91979 1.02615i −0.0973373 0.0520279i 0.422010 0.906591i \(-0.361325\pi\)
−0.519347 + 0.854563i \(0.673825\pi\)
\(390\) −3.28955 + 0.332275i −0.166573 + 0.0168254i
\(391\) 17.0349 + 3.38845i 0.861493 + 0.171362i
\(392\) 1.23658 + 0.717384i 0.0624565 + 0.0362334i
\(393\) 4.98647 1.23705i 0.251534 0.0624008i
\(394\) −6.67298 + 11.2543i −0.336180 + 0.566983i
\(395\) −11.2016 + 9.19289i −0.563612 + 0.462544i
\(396\) −2.12266 + 2.61292i −0.106668 + 0.131304i
\(397\) 14.4240 7.70979i 0.723920 0.386943i −0.0679049 0.997692i \(-0.521631\pi\)
0.791824 + 0.610749i \(0.209131\pi\)
\(398\) 3.35456 13.6677i 0.168149 0.685102i
\(399\) −4.03016 + 11.1836i −0.201761 + 0.559881i
\(400\) −4.27746 9.79514i −0.213873 0.489757i
\(401\) 22.7017 9.40337i 1.13367 0.469582i 0.264644 0.964346i \(-0.414746\pi\)
0.869027 + 0.494765i \(0.164746\pi\)
\(402\) 16.1553 3.25537i 0.805751 0.162363i
\(403\) −0.306421 + 1.01013i −0.0152639 + 0.0503184i
\(404\) −5.72867 27.4330i −0.285012 1.36484i
\(405\) 13.6772 1.22207i 0.679628 0.0607251i
\(406\) 1.86012 + 2.48330i 0.0923163 + 0.123244i
\(407\) 2.36181 + 1.57811i 0.117070 + 0.0782239i
\(408\) 21.8891 9.37627i 1.08367 0.464195i
\(409\) 11.5179 + 17.2378i 0.569524 + 0.852352i 0.998705 0.0508658i \(-0.0161981\pi\)
−0.429182 + 0.903218i \(0.641198\pi\)
\(410\) −6.22428 12.9997i −0.307395 0.642012i
\(411\) 1.34473 + 3.78526i 0.0663304 + 0.186713i
\(412\) −27.0024 + 14.7652i −1.33031 + 0.727427i
\(413\) 3.87290 + 3.17841i 0.190573 + 0.156399i
\(414\) 14.2750 + 5.10400i 0.701576 + 0.250848i
\(415\) −9.18748 + 9.18748i −0.450996 + 0.450996i
\(416\) −4.82418 + 1.33112i −0.236525 + 0.0652636i
\(417\) 12.6653 + 11.5316i 0.620224 + 0.564703i
\(418\) 0.729486 + 2.00859i 0.0356803 + 0.0982436i
\(419\) 2.13175 + 1.74948i 0.104143 + 0.0854679i 0.685024 0.728521i \(-0.259792\pi\)
−0.580881 + 0.813989i \(0.697292\pi\)
\(420\) 10.8766 + 7.94505i 0.530725 + 0.387679i
\(421\) −2.39602 7.89863i −0.116775 0.384955i 0.878996 0.476830i \(-0.158214\pi\)
−0.995771 + 0.0918743i \(0.970714\pi\)
\(422\) 12.9684 + 4.57068i 0.631291 + 0.222497i
\(423\) 25.4066 20.6587i 1.23531 1.00446i
\(424\) −18.0948 + 11.1998i −0.878763 + 0.543909i
\(425\) 10.7994 + 7.21596i 0.523850 + 0.350025i
\(426\) 25.8337 + 2.47939i 1.25165 + 0.120127i
\(427\) 2.46009 24.9777i 0.119052 1.20876i
\(428\) −5.92300 + 31.3323i −0.286299 + 1.51451i
\(429\) −0.210787 + 0.833495i −0.0101769 + 0.0402415i
\(430\) 9.33969 12.7192i 0.450400 0.613372i
\(431\) 12.5285 5.18949i 0.603478 0.249969i −0.0599592 0.998201i \(-0.519097\pi\)
0.663437 + 0.748232i \(0.269097\pi\)
\(432\) 20.0984 5.29659i 0.966985 0.254832i
\(433\) 17.9633 + 7.44064i 0.863261 + 0.357574i 0.769982 0.638066i \(-0.220265\pi\)
0.0932790 + 0.995640i \(0.470265\pi\)
\(434\) 3.67796 2.22834i 0.176548 0.106964i
\(435\) −1.16520 1.95404i −0.0558670 0.0936890i
\(436\) 20.4695 + 8.25140i 0.980309 + 0.395170i
\(437\) 7.43888 6.10493i 0.355850 0.292039i
\(438\) −0.0881114 0.287879i −0.00421012 0.0137554i
\(439\) 1.09229 0.217271i 0.0521324 0.0103698i −0.168955 0.985624i \(-0.554039\pi\)
0.221088 + 0.975254i \(0.429039\pi\)
\(440\) 2.41645 0.153316i 0.115200 0.00730906i
\(441\) −1.50833 0.155460i −0.0718253 0.00740287i
\(442\) 4.06250 4.52537i 0.193234 0.215250i
\(443\) 5.62228 + 3.00517i 0.267123 + 0.142780i 0.599521 0.800359i \(-0.295358\pi\)
−0.332398 + 0.943139i \(0.607858\pi\)
\(444\) −6.02777 16.4690i −0.286065 0.781585i
\(445\) −0.235129 2.38730i −0.0111462 0.113169i
\(446\) 4.90724 + 5.36280i 0.232365 + 0.253936i
\(447\) 25.1383 1.17789i 1.18900 0.0557124i
\(448\) 18.2472 + 9.09345i 0.862100 + 0.429625i
\(449\) −6.59316 −0.311150 −0.155575 0.987824i \(-0.549723\pi\)
−0.155575 + 0.987824i \(0.549723\pi\)
\(450\) 8.40170 + 7.61137i 0.396060 + 0.358804i
\(451\) −3.72978 + 0.367351i −0.175628 + 0.0172979i
\(452\) −30.8444 16.1112i −1.45080 0.757806i
\(453\) −12.1085 + 25.4519i −0.568906 + 1.19583i
\(454\) 11.2268 12.5060i 0.526901 0.586934i
\(455\) 3.37376 + 0.671082i 0.158164 + 0.0314608i
\(456\) 3.67802 12.6706i 0.172239 0.593357i
\(457\) −2.72210 13.6849i −0.127334 0.640153i −0.990754 0.135668i \(-0.956682\pi\)
0.863420 0.504486i \(-0.168318\pi\)
\(458\) −8.17724 + 2.08969i −0.382097 + 0.0976449i
\(459\) −17.0885 + 18.5987i −0.797622 + 0.868111i
\(460\) −4.26836 10.0336i −0.199013 0.467818i
\(461\) −29.4086 + 15.7192i −1.36970 + 0.732117i −0.981859 0.189611i \(-0.939277\pi\)
−0.387836 + 0.921728i \(0.626777\pi\)
\(462\) 2.90732 1.95311i 0.135261 0.0908671i
\(463\) 1.62112 3.91374i 0.0753400 0.181887i −0.881723 0.471768i \(-0.843616\pi\)
0.957063 + 0.289881i \(0.0936159\pi\)
\(464\) −2.23486 2.61988i −0.103751 0.121625i
\(465\) −2.85353 + 1.34172i −0.132329 + 0.0622207i
\(466\) −0.509964 + 0.694489i −0.0236236 + 0.0321716i
\(467\) −0.911542 + 3.00495i −0.0421811 + 0.139053i −0.975502 0.219991i \(-0.929397\pi\)
0.933321 + 0.359044i \(0.116897\pi\)
\(468\) 4.08632 3.38780i 0.188890 0.156601i
\(469\) −17.0632 1.68057i −0.787904 0.0776017i
\(470\) −23.3134 3.34492i −1.07537 0.154290i
\(471\) −3.84776 + 6.38675i −0.177295 + 0.294286i
\(472\) −4.51314 3.24835i −0.207734 0.149518i
\(473\) −2.27965 3.41174i −0.104819 0.156872i
\(474\) 6.69769 22.2791i 0.307635 1.02331i
\(475\) 6.88646 2.08899i 0.315973 0.0958492i
\(476\) −24.6312 + 2.66286i −1.12897 + 0.122052i
\(477\) 12.6249 18.7104i 0.578053 0.856690i
\(478\) 8.93367 + 24.5983i 0.408617 + 1.12510i
\(479\) −25.5302 + 25.5302i −1.16650 + 1.16650i −0.183482 + 0.983023i \(0.558737\pi\)
−0.983023 + 0.183482i \(0.941263\pi\)
\(480\) −12.6057 8.03587i −0.575369 0.366786i
\(481\) −3.16696 3.16696i −0.144401 0.144401i
\(482\) −8.20280 + 17.5591i −0.373627 + 0.799793i
\(483\) −12.6472 9.42429i −0.575468 0.428820i
\(484\) −6.00861 + 20.5083i −0.273118 + 0.932195i
\(485\) −7.80669 25.7352i −0.354484 1.16858i
\(486\) −17.1328 + 13.8732i −0.777160 + 0.629303i
\(487\) 0.813851 0.543798i 0.0368791 0.0246418i −0.536994 0.843586i \(-0.680440\pi\)
0.573873 + 0.818944i \(0.305440\pi\)
\(488\) −0.969549 + 27.8391i −0.0438894 + 1.26022i
\(489\) 16.3568 27.1500i 0.739681 1.22777i
\(490\) 0.653833 + 0.872881i 0.0295372 + 0.0394327i
\(491\) −0.493358 + 5.00915i −0.0222650 + 0.226060i 0.977613 + 0.210413i \(0.0674808\pi\)
−0.999878 + 0.0156470i \(0.995019\pi\)
\(492\) 19.9329 + 11.7517i 0.898643 + 0.529807i
\(493\) 4.00442 + 1.21473i 0.180350 + 0.0547086i
\(494\) −0.510252 3.33057i −0.0229573 0.149850i
\(495\) −2.27040 + 1.20036i −0.102047 + 0.0539521i
\(496\) −3.91725 + 2.72667i −0.175890 + 0.122431i
\(497\) −24.9455 10.3328i −1.11896 0.463488i
\(498\) 4.01848 20.4688i 0.180072 0.917229i
\(499\) 6.64127 + 12.4249i 0.297304 + 0.556217i 0.985575 0.169236i \(-0.0541301\pi\)
−0.688271 + 0.725453i \(0.741630\pi\)
\(500\) −0.222789 23.4103i −0.00996341 1.04694i
\(501\) 8.81079 7.94936i 0.393637 0.355151i
\(502\) −19.9010 + 33.5639i −0.888224 + 1.49803i
\(503\) −13.5498 + 2.69522i −0.604156 + 0.120174i −0.487684 0.873020i \(-0.662158\pi\)
−0.116471 + 0.993194i \(0.537158\pi\)
\(504\) −21.6075 0.850548i −0.962475 0.0378864i
\(505\) 4.17090 20.9685i 0.185603 0.933087i
\(506\) −2.83120 + 0.152595i −0.125862 + 0.00678367i
\(507\) −9.09084 + 19.1088i −0.403738 + 0.848654i
\(508\) 3.49661 39.3358i 0.155137 1.74524i
\(509\) −0.555034 5.63536i −0.0246015 0.249783i −0.999618 0.0276492i \(-0.991198\pi\)
0.975016 0.222134i \(-0.0713021\pi\)
\(510\) 18.1660 0.0452879i 0.804406 0.00200538i
\(511\) 0.313223i 0.0138562i
\(512\) −20.8504 8.78991i −0.921464 0.388463i
\(513\) 1.95923 + 13.8562i 0.0865021 + 0.611764i
\(514\) 1.30326 29.3803i 0.0574842 1.29591i
\(515\) −23.3649 + 2.30124i −1.02958 + 0.101405i
\(516\) −1.05956 + 25.3115i −0.0466444 + 1.11428i
\(517\) −2.88696 + 5.40112i −0.126968 + 0.237541i
\(518\) 0.981988 + 18.2195i 0.0431461 + 0.800518i
\(519\) −6.95302 1.04749i −0.305204 0.0459795i
\(520\) −3.78406 0.506221i −0.165942 0.0221992i
\(521\) −7.06155 35.5008i −0.309372 1.55532i −0.752336 0.658780i \(-0.771073\pi\)
0.442964 0.896539i \(-0.353927\pi\)
\(522\) 3.30216 + 1.56089i 0.144532 + 0.0683181i
\(523\) 11.9049 + 14.5062i 0.520567 + 0.634313i 0.965235 0.261383i \(-0.0841784\pi\)
−0.444668 + 0.895695i \(0.646678\pi\)
\(524\) 5.93215 0.0564544i 0.259147 0.00246622i
\(525\) −6.04076 10.1304i −0.263640 0.442126i
\(526\) −3.34005 + 13.6086i −0.145633 + 0.593364i
\(527\) 2.21950 5.35835i 0.0966829 0.233413i
\(528\) −3.08300 + 2.36766i −0.134171 + 0.103039i
\(529\) −3.91559 9.45307i −0.170243 0.411003i
\(530\) −16.0471 + 2.45845i −0.697041 + 0.106788i
\(531\) 5.77930 + 1.17682i 0.250800 + 0.0510696i
\(532\) −7.51716 + 11.4853i −0.325910 + 0.497953i
\(533\) 5.88089 + 0.579217i 0.254730 + 0.0250887i
\(534\) 2.45059 + 2.97092i 0.106048 + 0.128564i
\(535\) −13.5148 + 20.2263i −0.584295 + 0.874459i
\(536\) 19.0179 + 0.662334i 0.821448 + 0.0286085i
\(537\) 25.0032 + 33.8730i 1.07897 + 1.46173i
\(538\) −5.75579 12.0213i −0.248150 0.518274i
\(539\) 0.271379 0.0823220i 0.0116891 0.00354586i
\(540\) 15.6907 + 2.28388i 0.675220 + 0.0982826i
\(541\) 26.8054 32.6624i 1.15245 1.40427i 0.252880 0.967498i \(-0.418622\pi\)
0.899573 0.436771i \(-0.143878\pi\)
\(542\) −14.6753 6.85566i −0.630359 0.294476i
\(543\) 19.2715 + 17.5463i 0.827017 + 0.752984i
\(544\) 27.0953 4.68047i 1.16170 0.200673i
\(545\) 11.9053 + 11.9053i 0.509966 + 0.509966i
\(546\) −5.09680 + 2.12607i −0.218123 + 0.0909873i
\(547\) 5.88041 7.16529i 0.251428 0.306366i −0.631967 0.774995i \(-0.717752\pi\)
0.883395 + 0.468630i \(0.155252\pi\)
\(548\) 0.498557 + 4.61159i 0.0212973 + 0.196998i
\(549\) −11.1829 27.3477i −0.477274 1.16717i
\(550\) −1.99969 0.704787i −0.0852672 0.0300522i
\(551\) 1.92778 1.28810i 0.0821263 0.0548750i
\(552\) 14.6708 + 9.54990i 0.624432 + 0.406471i
\(553\) −13.4470 + 20.1248i −0.571823 + 0.855794i
\(554\) 4.62070 32.2053i 0.196315 1.36827i
\(555\) 0.686737 13.3612i 0.0291504 0.567152i
\(556\) 11.1443 + 16.3398i 0.472622 + 0.692961i
\(557\) 11.2738 + 3.41988i 0.477688 + 0.144905i 0.519941 0.854202i \(-0.325954\pi\)
−0.0422537 + 0.999107i \(0.513454\pi\)
\(558\) 2.60156 4.34268i 0.110133 0.183840i
\(559\) 2.47588 + 5.97731i 0.104719 + 0.252813i
\(560\) 10.0938 + 11.8328i 0.426542 + 0.500026i
\(561\) 1.60145 4.44399i 0.0676133 0.187625i
\(562\) 36.4060 22.0571i 1.53570 0.930422i
\(563\) 5.10729 + 9.55507i 0.215247 + 0.402698i 0.966252 0.257598i \(-0.0829309\pi\)
−0.751006 + 0.660296i \(0.770431\pi\)
\(564\) 34.0630 16.4139i 1.43431 0.691149i
\(565\) −16.8412 20.5211i −0.708515 0.863328i
\(566\) 7.62600 + 29.8415i 0.320545 + 1.25433i
\(567\) 21.2687 8.58486i 0.893203 0.360530i
\(568\) 28.3568 + 9.69190i 1.18982 + 0.406663i
\(569\) 0.0420587 0.211443i 0.00176319 0.00886417i −0.979894 0.199520i \(-0.936062\pi\)
0.981657 + 0.190656i \(0.0610616\pi\)
\(570\) 6.36581 7.79632i 0.266635 0.326552i
\(571\) −16.5265 + 30.9190i −0.691614 + 1.29392i 0.253550 + 0.967322i \(0.418402\pi\)
−0.945164 + 0.326596i \(0.894098\pi\)
\(572\) −0.459620 + 0.879929i −0.0192177 + 0.0367917i
\(573\) 1.26362 + 8.65363i 0.0527884 + 0.361510i
\(574\) −16.2518 17.7605i −0.678335 0.741308i
\(575\) 9.54804i 0.398181i
\(576\) 23.9931 0.576396i 0.999712 0.0240165i
\(577\) 28.5934i 1.19036i 0.803593 + 0.595179i \(0.202919\pi\)
−0.803593 + 0.595179i \(0.797081\pi\)
\(578\) −6.91405 + 6.32671i −0.287586 + 0.263156i
\(579\) −6.28387 43.0338i −0.261149 1.78842i
\(580\) −0.786474 2.50654i −0.0326566 0.104078i
\(581\) −10.2303 + 19.1396i −0.424426 + 0.794046i
\(582\) 33.4432 + 27.3069i 1.38626 + 1.13191i
\(583\) −0.823558 + 4.14030i −0.0341083 + 0.171474i
\(584\) −0.0220121 0.346938i −0.000910868 0.0143564i
\(585\) 3.88028 1.15790i 0.160430 0.0478732i
\(586\) 11.6940 2.98840i 0.483075 0.123450i
\(587\) −25.7608 31.3896i −1.06326 1.29559i −0.953422 0.301638i \(-0.902467\pi\)
−0.109839 0.993949i \(-0.535033\pi\)
\(588\) −1.65278 0.577890i −0.0681595 0.0238318i
\(589\) −1.51481 2.83401i −0.0624167 0.116773i
\(590\) −2.19813 3.62810i −0.0904955 0.149366i
\(591\) 5.43262 15.0754i 0.223468 0.620120i
\(592\) −2.36808 20.1116i −0.0973276 0.826580i
\(593\) −4.76355 11.5002i −0.195616 0.472258i 0.795387 0.606102i \(-0.207268\pi\)
−0.991002 + 0.133844i \(0.957268\pi\)
\(594\) 1.95100 3.63224i 0.0800504 0.149033i
\(595\) −18.0861 5.48637i −0.741459 0.224919i
\(596\) 28.5534 + 5.39767i 1.16959 + 0.221097i
\(597\) −0.884740 + 17.2136i −0.0362100 + 0.704505i
\(598\) 4.42522 + 0.634915i 0.180961 + 0.0259636i
\(599\) −2.13771 + 3.19931i −0.0873445 + 0.130720i −0.872569 0.488491i \(-0.837548\pi\)
0.785224 + 0.619211i \(0.212548\pi\)
\(600\) 7.40290 + 10.7963i 0.302222 + 0.440755i
\(601\) 7.11945 4.75706i 0.290408 0.194045i −0.401829 0.915715i \(-0.631625\pi\)
0.692237 + 0.721670i \(0.256625\pi\)
\(602\) 8.76126 24.8584i 0.357082 1.01315i
\(603\) −18.6822 + 7.63943i −0.760797 + 0.311102i
\(604\) −20.4064 + 25.3534i −0.830324 + 1.03162i
\(605\) −10.3425 + 12.6023i −0.420481 + 0.512357i
\(606\) 13.2139 + 31.6776i 0.536778 + 1.28681i
\(607\) −15.7190 15.7190i −0.638015 0.638015i 0.312050 0.950066i \(-0.398984\pi\)
−0.950066 + 0.312050i \(0.898984\pi\)
\(608\) 7.51914 13.2499i 0.304942 0.537354i
\(609\) −2.80985 2.55832i −0.113861 0.103668i
\(610\) −8.99430 + 19.2533i −0.364169 + 0.779545i
\(611\) 6.12594 7.46448i 0.247829 0.301981i
\(612\) −24.1683 + 16.3236i −0.976946 + 0.659844i
\(613\) 13.1748 3.99654i 0.532127 0.161419i −0.0127756 0.999918i \(-0.504067\pi\)
0.544902 + 0.838499i \(0.316567\pi\)
\(614\) −18.5720 + 8.89228i −0.749505 + 0.358863i
\(615\) 10.4833 + 14.2022i 0.422727 + 0.572689i
\(616\) 3.78804 1.41669i 0.152624 0.0570802i
\(617\) −1.50969 + 2.25940i −0.0607777 + 0.0909602i −0.860614 0.509258i \(-0.829920\pi\)
0.799836 + 0.600219i \(0.204920\pi\)
\(618\) 29.0768 23.9843i 1.16964 0.964789i
\(619\) 27.7359 + 2.73174i 1.11480 + 0.109798i 0.638599 0.769540i \(-0.279514\pi\)
0.476199 + 0.879338i \(0.342014\pi\)
\(620\) −3.56415 + 0.744282i −0.143140 + 0.0298911i
\(621\) −18.3472 2.84911i −0.736249 0.114331i
\(622\) 1.11672 + 7.28917i 0.0447763 + 0.292269i
\(623\) −1.53333 3.70179i −0.0614316 0.148309i
\(624\) 5.49600 2.71310i 0.220016 0.108611i
\(625\) 1.72186 4.15694i 0.0688745 0.166278i
\(626\) 19.4376 + 4.77070i 0.776884 + 0.190675i
\(627\) −1.34044 2.24792i −0.0535319 0.0897732i
\(628\) −6.02980 + 6.14567i −0.240615 + 0.245239i
\(629\) 15.6113 + 19.0224i 0.622461 + 0.758471i
\(630\) −14.9143 7.04980i −0.594201 0.280871i
\(631\) 0.610151 + 3.06744i 0.0242897 + 0.122113i 0.991028 0.133656i \(-0.0426716\pi\)
−0.966738 + 0.255768i \(0.917672\pi\)
\(632\) 13.4801 23.2360i 0.536209 0.924279i
\(633\) −16.6527 2.50876i −0.661884 0.0997141i
\(634\) −36.4787 + 1.96612i −1.44876 + 0.0780846i
\(635\) 14.2016 26.5693i 0.563572 1.05437i
\(636\) 19.1841 17.6425i 0.760699 0.699571i
\(637\) −0.444996 + 0.0438282i −0.0176314 + 0.00173654i
\(638\) −0.682436 0.0302717i −0.0270179 0.00119847i
\(639\) −31.6459 + 2.97215i −1.25189 + 0.117576i
\(640\) −12.0119 12.3971i −0.474810 0.490037i
\(641\) 5.87312i 0.231974i 0.993251 + 0.115987i \(0.0370031\pi\)
−0.993251 + 0.115987i \(0.962997\pi\)
\(642\) −0.0973605 39.0536i −0.00384251 1.54132i
\(643\) 2.75855 + 28.0081i 0.108787 + 1.10453i 0.882280 + 0.470725i \(0.156008\pi\)
−0.773493 + 0.633805i \(0.781492\pi\)
\(644\) −11.6873 13.9678i −0.460544 0.550408i
\(645\) −8.30266 + 17.4521i −0.326917 + 0.687176i
\(646\) 0.996364 + 18.4862i 0.0392014 + 0.727330i
\(647\) −4.43936 + 22.3182i −0.174529 + 0.877419i 0.789932 + 0.613195i \(0.210116\pi\)
−0.964461 + 0.264224i \(0.914884\pi\)
\(648\) −22.9548 + 11.0036i −0.901748 + 0.432262i
\(649\) −1.08186 + 0.215196i −0.0424668 + 0.00844718i
\(650\) 2.87561 + 1.70503i 0.112791 + 0.0668768i
\(651\) −3.91045 + 3.52813i −0.153263 + 0.138278i
\(652\) 25.6327 26.1252i 1.00385 1.02314i
\(653\) 5.98484 + 11.1968i 0.234205 + 0.438166i 0.971378 0.237537i \(-0.0763401\pi\)
−0.737174 + 0.675703i \(0.763840\pi\)
\(654\) −26.5238 5.20720i −1.03716 0.203618i
\(655\) 4.18119 + 1.73190i 0.163373 + 0.0676711i
\(656\) 19.2492 + 18.5301i 0.751555 + 0.723478i
\(657\) 0.172340 + 0.325969i 0.00672362 + 0.0127173i
\(658\) −38.8852 + 5.95730i −1.51590 + 0.232240i
\(659\) −17.6621 5.35775i −0.688019 0.208708i −0.0731305 0.997322i \(-0.523299\pi\)
−0.614888 + 0.788614i \(0.710799\pi\)
\(660\) −2.87131 + 0.741393i −0.111766 + 0.0288587i
\(661\) 0.134882 1.36948i 0.00524632 0.0532668i −0.992205 0.124615i \(-0.960230\pi\)
0.997451 + 0.0713487i \(0.0227303\pi\)
\(662\) −2.60240 + 1.94933i −0.101145 + 0.0757628i
\(663\) −3.84355 + 6.37977i −0.149271 + 0.247770i
\(664\) 9.98646 21.9187i 0.387550 0.850612i
\(665\) −8.70690 + 5.81776i −0.337639 + 0.225603i
\(666\) 11.0466 + 18.4206i 0.428046 + 0.713782i
\(667\) 0.892974 + 2.94374i 0.0345761 + 0.113982i
\(668\) 12.0227 6.57410i 0.465171 0.254360i
\(669\) −7.13881 5.31961i −0.276003 0.205668i
\(670\) 13.1526 + 6.14433i 0.508131 + 0.237376i
\(671\) 3.90734 + 3.90734i 0.150841 + 0.150841i
\(672\) −24.0448 6.73229i −0.927550 0.259704i
\(673\) 33.1511 33.1511i 1.27788 1.27788i 0.336028 0.941852i \(-0.390916\pi\)
0.941852 0.336028i \(-0.109084\pi\)
\(674\) 39.1959 14.2353i 1.50977 0.548321i
\(675\) −11.8604 7.21888i −0.456509 0.277855i
\(676\) −15.3208 + 19.0349i −0.589260 + 0.732113i
\(677\) −37.2948 + 11.3133i −1.43336 + 0.434804i −0.909036 0.416717i \(-0.863181\pi\)
−0.524320 + 0.851521i \(0.675681\pi\)
\(678\) 40.8150 + 12.2701i 1.56749 + 0.471229i
\(679\) −24.9559 37.3492i −0.957721 1.43333i
\(680\) 20.4184 + 4.80588i 0.783012 + 0.184297i
\(681\) −10.6218 + 17.6306i −0.407027 + 0.675608i
\(682\) −0.134464 + 0.937183i −0.00514888 + 0.0358866i
\(683\) −9.03772 0.890137i −0.345819 0.0340602i −0.0763829 0.997079i \(-0.524337\pi\)
−0.269436 + 0.963018i \(0.586837\pi\)
\(684\) −1.50365 + 16.0888i −0.0574934 + 0.615169i
\(685\) −1.02719 + 3.38619i −0.0392469 + 0.129380i
\(686\) 21.8031 + 16.0101i 0.832447 + 0.611267i
\(687\) 9.35442 4.39841i 0.356893 0.167810i
\(688\) −7.95735 + 28.1498i −0.303371 + 1.07320i
\(689\) 2.54717 6.14941i 0.0970395 0.234274i
\(690\) 7.44691 + 11.0852i 0.283499 + 0.422005i
\(691\) 29.3753 15.7014i 1.11749 0.597311i 0.194026 0.980996i \(-0.437845\pi\)
0.923464 + 0.383686i \(0.125345\pi\)
\(692\) −7.53044 3.03558i −0.286265 0.115395i
\(693\) −3.04692 + 3.01944i −0.115743 + 0.114699i
\(694\) −0.987853 3.86560i −0.0374984 0.146736i
\(695\) 2.94360 + 14.7985i 0.111657 + 0.561338i
\(696\) 3.29209 + 2.63622i 0.124786 + 0.0999258i
\(697\) −31.8445 6.33426i −1.20620 0.239927i
\(698\) −30.5361 27.4128i −1.15581 1.03759i
\(699\) 0.453340 0.952917i 0.0171469 0.0360426i
\(700\) −4.07734 12.9947i −0.154109 0.491153i
\(701\) −35.9614 + 3.54189i −1.35824 + 0.133775i −0.750770 0.660564i \(-0.770317\pi\)
−0.607475 + 0.794339i \(0.707817\pi\)
\(702\) −4.13441 + 5.01691i −0.156043 + 0.189351i
\(703\) 13.6344 0.514231
\(704\) −4.09621 + 1.83539i −0.154382 + 0.0691740i
\(705\) 28.8137 1.35011i 1.08519 0.0508480i
\(706\) −9.86490 + 9.02689i −0.371270 + 0.339732i
\(707\) −3.50016 35.5377i −0.131637 1.33653i
\(708\) 6.17740 + 2.86707i 0.232161 + 0.107751i
\(709\) 39.4443 + 21.0834i 1.48136 + 0.791804i 0.996564 0.0828221i \(-0.0263933\pi\)
0.484797 + 0.874626i \(0.338893\pi\)
\(710\) 17.0119 + 15.2719i 0.638447 + 0.573145i
\(711\) −2.92120 + 28.3424i −0.109553 + 1.06292i
\(712\) 1.95852 + 3.99248i 0.0733987 + 0.149625i
\(713\) 4.18166 0.831784i 0.156604 0.0311506i
\(714\) 29.0141 8.88037i 1.08582 0.332340i
\(715\) −0.585426 + 0.480447i −0.0218937 + 0.0179677i
\(716\) 19.0306 + 44.7351i 0.711208 + 1.67183i
\(717\) −16.4157 27.5292i −0.613056 1.02810i
\(718\) −26.1374 43.1408i −0.975440 1.61000i
\(719\) 17.6887 + 7.32690i 0.659677 + 0.273247i 0.687303 0.726371i \(-0.258795\pi\)
−0.0276257 + 0.999618i \(0.508795\pi\)
\(720\) 17.0151 + 6.76050i 0.634116 + 0.251949i
\(721\) −36.2299 + 15.0069i −1.34927 + 0.558886i
\(722\) −13.3904 9.83259i −0.498339 0.365931i
\(723\) 5.81958 23.0118i 0.216432 0.855817i
\(724\) 16.9570 + 24.8625i 0.630202 + 0.924006i
\(725\) −0.225479 + 2.28933i −0.00837407 + 0.0850234i
\(726\) 2.50049 26.0536i 0.0928017 0.966938i
\(727\) 37.7594 + 25.2300i 1.40042 + 0.935730i 0.999810 + 0.0194801i \(0.00620111\pi\)
0.400608 + 0.916249i \(0.368799\pi\)
\(728\) −6.29377 + 1.02561i −0.233263 + 0.0380117i
\(729\) 17.4107 20.6366i 0.644841 0.764317i
\(730\) 0.0881547 0.250122i 0.00326275 0.00925741i
\(731\) −10.3189 34.0170i −0.381660 1.25816i
\(732\) −5.25050 33.7101i −0.194064 1.24596i
\(733\) 14.2035 + 11.6565i 0.524618 + 0.430543i 0.859061 0.511873i \(-0.171048\pi\)
−0.334443 + 0.942416i \(0.608548\pi\)
\(734\) −24.4680 + 8.88634i −0.903130 + 0.328001i
\(735\) −0.987664 0.899250i −0.0364305 0.0331693i
\(736\) 13.9269 + 14.6499i 0.513352 + 0.540003i
\(737\) 2.66924 2.66924i 0.0983228 0.0983228i
\(738\) −26.6851 9.54124i −0.982293 0.351218i
\(739\) −12.7123 10.4327i −0.467628 0.383772i 0.370863 0.928687i \(-0.379062\pi\)
−0.838491 + 0.544915i \(0.816562\pi\)
\(740\) 4.34360 14.8254i 0.159674 0.544992i
\(741\) 1.38144 + 3.88860i 0.0507484 + 0.142851i
\(742\) −24.4572 + 11.7101i −0.897850 + 0.429891i
\(743\) −8.06623 12.0720i −0.295921 0.442878i 0.653480 0.756944i \(-0.273309\pi\)
−0.949401 + 0.314066i \(0.898309\pi\)
\(744\) 4.08342 4.18270i 0.149705 0.153345i
\(745\) 18.4324 + 12.3161i 0.675309 + 0.451227i
\(746\) 13.1284 9.83388i 0.480666 0.360044i
\(747\) −0.115741 + 25.5473i −0.00423474 + 0.934728i
\(748\) 2.98706 4.56389i 0.109218 0.166872i
\(749\) −11.7947 + 38.8818i −0.430968 + 1.42071i
\(750\) 5.66390 + 28.1080i 0.206817 + 1.02636i
\(751\) 13.9383 5.77342i 0.508614 0.210675i −0.113593 0.993527i \(-0.536236\pi\)
0.622207 + 0.782852i \(0.286236\pi\)
\(752\) 42.6520 9.33124i 1.55536 0.340275i
\(753\) 16.2018 44.9597i 0.590427 1.63842i
\(754\) 1.04604 + 0.256735i 0.0380944 + 0.00934975i
\(755\) −21.8965 + 11.7039i −0.796896 + 0.425950i
\(756\) 26.1869 3.95730i 0.952407 0.143926i
\(757\) 19.8304 16.2744i 0.720747 0.591502i −0.200863 0.979619i \(-0.564375\pi\)
0.921610 + 0.388118i \(0.126875\pi\)
\(758\) −24.2479 14.3772i −0.880722 0.522205i
\(759\) 3.37036 0.836122i 0.122336 0.0303493i
\(760\) 9.23524 7.05586i 0.334997 0.255943i
\(761\) 21.5478 + 4.28613i 0.781109 + 0.155372i 0.569510 0.821984i \(-0.307133\pi\)
0.211599 + 0.977357i \(0.432133\pi\)
\(762\) 4.86071 + 48.1214i 0.176085 + 1.74325i
\(763\) 24.8014 + 13.2566i 0.897872 + 0.479923i
\(764\) −0.894128 + 10.0587i −0.0323484 + 0.363909i
\(765\) −21.8408 + 4.24163i −0.789655 + 0.153356i
\(766\) −26.5947 1.17969i −0.960906 0.0426241i
\(767\) 1.73924 0.0628002
\(768\) 27.1061 + 5.76716i 0.978107 + 0.208104i
\(769\) 21.4995 0.775292 0.387646 0.921808i \(-0.373288\pi\)
0.387646 + 0.921808i \(0.373288\pi\)
\(770\) 3.08225 + 0.136723i 0.111077 + 0.00492716i
\(771\) 5.20432 + 35.6408i 0.187429 + 1.28357i
\(772\) 4.44642 50.0209i 0.160030 1.80029i
\(773\) −25.5434 13.6532i −0.918733 0.491073i −0.0569655