Properties

Label 483.2.y.b.4.9
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0919807 + 0.129169i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.645912 + 1.86624i) q^{4} +(0.0626824 - 1.31586i) q^{5} +(0.103842 + 0.119841i) q^{6} +(0.568266 - 2.58400i) q^{7} +(-0.604769 - 0.177576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-0.0919807 + 0.129169i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.645912 + 1.86624i) q^{4} +(0.0626824 - 1.31586i) q^{5} +(0.103842 + 0.119841i) q^{6} +(0.568266 - 2.58400i) q^{7} +(-0.604769 - 0.177576i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(0.164203 + 0.129131i) q^{10} +(-1.86588 - 2.62026i) q^{11} +(1.96591 - 0.187722i) q^{12} +(0.717504 - 4.99035i) q^{13} +(0.281503 + 0.311081i) q^{14} +(-1.26399 - 0.371142i) q^{15} +(-3.02612 + 2.37977i) q^{16} +(-2.10666 + 0.406024i) q^{17} +(0.140944 - 0.0726618i) q^{18} +(5.62935 + 1.08497i) q^{19} +(2.49621 - 0.732952i) q^{20} +(-2.37719 - 1.16145i) q^{21} +0.510081 q^{22} +(3.12217 + 3.64034i) q^{23} +(-0.315150 + 0.545856i) q^{24} +(3.24979 + 0.310317i) q^{25} +(0.578601 + 0.551695i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(5.18942 - 0.608517i) q^{28} +(-6.22697 - 7.18631i) q^{29} +(0.164203 - 0.129131i) q^{30} +(2.58605 - 2.46580i) q^{31} +(-0.0890288 - 1.86894i) q^{32} +(-2.98630 + 1.19553i) q^{33} +(0.141326 - 0.309461i) q^{34} +(-3.36458 - 0.909733i) q^{35} +(0.281051 - 1.95475i) q^{36} +(3.24395 + 1.67237i) q^{37} +(-0.657936 + 0.627341i) q^{38} +(-4.68052 - 1.87380i) q^{39} +(-0.271574 + 0.784663i) q^{40} +(7.80449 + 5.01564i) q^{41} +(0.368679 - 0.200228i) q^{42} +(-6.63141 + 1.94716i) q^{43} +(3.68484 - 5.17463i) q^{44} +(-0.658678 + 1.14086i) q^{45} +(-0.757397 + 0.0684462i) q^{46} +(-0.750846 - 1.30050i) q^{47} +(1.59925 + 3.50187i) q^{48} +(-6.35415 - 2.93680i) q^{49} +(-0.339001 + 0.391228i) q^{50} +(-0.102083 + 2.14300i) q^{51} +(9.77663 - 1.88429i) q^{52} +(4.34165 + 1.73813i) q^{53} +(-0.0373847 - 0.154102i) q^{54} +(-3.56486 + 2.29100i) q^{55} +(-0.802527 + 1.46181i) q^{56} +(2.38156 - 5.21488i) q^{57} +(1.50101 - 0.143329i) q^{58} +(-7.83184 - 6.15903i) q^{59} +(-0.123789 - 2.59864i) q^{60} +(1.87416 + 7.72541i) q^{61} +(0.0806371 + 0.560843i) q^{62} +(-1.68915 + 2.03636i) q^{63} +(-6.22765 - 4.00227i) q^{64} +(-6.52165 - 1.25694i) q^{65} +(0.120256 - 0.495702i) q^{66} +(9.58930 + 0.915667i) q^{67} +(-2.11845 - 3.66927i) q^{68} +(4.27380 - 2.17592i) q^{69} +(0.426985 - 0.350921i) q^{70} +(-2.89468 - 6.33846i) q^{71} +(0.456170 + 0.434957i) q^{72} +(4.06933 + 11.7575i) q^{73} +(-0.514399 + 0.265191i) q^{74} +(1.06774 - 3.08502i) q^{75} +(1.61125 + 11.2065i) q^{76} +(-7.83107 + 3.33243i) q^{77} +(0.672554 - 0.432224i) q^{78} +(-11.4628 + 4.58902i) q^{79} +(2.94176 + 4.13113i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-1.36573 + 0.546755i) q^{82} +(2.44600 - 1.57195i) q^{83} +(0.632088 - 5.18660i) q^{84} +(0.402223 + 2.79752i) q^{85} +(0.358450 - 1.03567i) q^{86} +(-8.45180 + 4.35721i) q^{87} +(0.663129 + 1.91599i) q^{88} +(8.39826 + 8.00773i) q^{89} +(-0.0867784 - 0.190018i) q^{90} +(-12.4873 - 4.68988i) q^{91} +(-4.77710 + 8.17805i) q^{92} +(-1.78661 - 3.09449i) q^{93} +(0.237048 + 0.0226353i) q^{94} +(1.78053 - 7.33946i) q^{95} +(-1.83725 - 0.354101i) q^{96} +(6.27343 + 4.03169i) q^{97} +(0.963802 - 0.550628i) q^{98} +(0.457786 + 3.18397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0919807 + 0.129169i −0.0650402 + 0.0913361i −0.845815 0.533477i \(-0.820885\pi\)
0.780775 + 0.624813i \(0.214825\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) 0.645912 + 1.86624i 0.322956 + 0.933120i
\(5\) 0.0626824 1.31586i 0.0280324 0.588473i −0.940531 0.339707i \(-0.889672\pi\)
0.968564 0.248766i \(-0.0800249\pi\)
\(6\) 0.103842 + 0.119841i 0.0423935 + 0.0489247i
\(7\) 0.568266 2.58400i 0.214785 0.976661i
\(8\) −0.604769 0.177576i −0.213818 0.0627826i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 0.164203 + 0.129131i 0.0519256 + 0.0408347i
\(11\) −1.86588 2.62026i −0.562583 0.790038i 0.431094 0.902307i \(-0.358128\pi\)
−0.993678 + 0.112269i \(0.964188\pi\)
\(12\) 1.96591 0.187722i 0.567510 0.0541906i
\(13\) 0.717504 4.99035i 0.199000 1.38407i −0.608195 0.793788i \(-0.708106\pi\)
0.807195 0.590286i \(-0.200985\pi\)
\(14\) 0.281503 + 0.311081i 0.0752349 + 0.0831398i
\(15\) −1.26399 0.371142i −0.326362 0.0958285i
\(16\) −3.02612 + 2.37977i −0.756529 + 0.594941i
\(17\) −2.10666 + 0.406024i −0.510939 + 0.0984754i −0.438203 0.898876i \(-0.644385\pi\)
−0.0727355 + 0.997351i \(0.523173\pi\)
\(18\) 0.140944 0.0726618i 0.0332209 0.0171266i
\(19\) 5.62935 + 1.08497i 1.29146 + 0.248909i 0.788304 0.615286i \(-0.210959\pi\)
0.503158 + 0.864195i \(0.332171\pi\)
\(20\) 2.49621 0.732952i 0.558169 0.163893i
\(21\) −2.37719 1.16145i −0.518745 0.253449i
\(22\) 0.510081 0.108750
\(23\) 3.12217 + 3.64034i 0.651017 + 0.759063i
\(24\) −0.315150 + 0.545856i −0.0643297 + 0.111422i
\(25\) 3.24979 + 0.310317i 0.649958 + 0.0620634i
\(26\) 0.578601 + 0.551695i 0.113473 + 0.108196i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 5.18942 0.608517i 0.980708 0.114999i
\(29\) −6.22697 7.18631i −1.15632 1.33446i −0.933066 0.359704i \(-0.882878\pi\)
−0.223254 0.974760i \(-0.571668\pi\)
\(30\) 0.164203 0.129131i 0.0299793 0.0235759i
\(31\) 2.58605 2.46580i 0.464469 0.442870i −0.421352 0.906897i \(-0.638444\pi\)
0.885821 + 0.464027i \(0.153596\pi\)
\(32\) −0.0890288 1.86894i −0.0157382 0.330386i
\(33\) −2.98630 + 1.19553i −0.519847 + 0.208115i
\(34\) 0.141326 0.309461i 0.0242372 0.0530720i
\(35\) −3.36458 0.909733i −0.568718 0.153773i
\(36\) 0.281051 1.95475i 0.0468419 0.325792i
\(37\) 3.24395 + 1.67237i 0.533302 + 0.274936i 0.703771 0.710427i \(-0.251498\pi\)
−0.170469 + 0.985363i \(0.554528\pi\)
\(38\) −0.657936 + 0.627341i −0.106731 + 0.101768i
\(39\) −4.68052 1.87380i −0.749483 0.300048i
\(40\) −0.271574 + 0.784663i −0.0429397 + 0.124066i
\(41\) 7.80449 + 5.01564i 1.21886 + 0.783312i 0.982119 0.188261i \(-0.0602852\pi\)
0.236738 + 0.971573i \(0.423922\pi\)
\(42\) 0.368679 0.200228i 0.0568884 0.0308958i
\(43\) −6.63141 + 1.94716i −1.01128 + 0.296939i −0.745077 0.666978i \(-0.767587\pi\)
−0.266203 + 0.963917i \(0.585769\pi\)
\(44\) 3.68484 5.17463i 0.555510 0.780105i
\(45\) −0.658678 + 1.14086i −0.0981900 + 0.170070i
\(46\) −0.757397 + 0.0684462i −0.111672 + 0.0100918i
\(47\) −0.750846 1.30050i −0.109522 0.189698i 0.806055 0.591841i \(-0.201599\pi\)
−0.915577 + 0.402143i \(0.868265\pi\)
\(48\) 1.59925 + 3.50187i 0.230832 + 0.505451i
\(49\) −6.35415 2.93680i −0.907735 0.419544i
\(50\) −0.339001 + 0.391228i −0.0479420 + 0.0553280i
\(51\) −0.102083 + 2.14300i −0.0142945 + 0.300079i
\(52\) 9.77663 1.88429i 1.35577 0.261304i
\(53\) 4.34165 + 1.73813i 0.596371 + 0.238751i 0.650155 0.759801i \(-0.274704\pi\)
−0.0537837 + 0.998553i \(0.517128\pi\)
\(54\) −0.0373847 0.154102i −0.00508742 0.0209706i
\(55\) −3.56486 + 2.29100i −0.480686 + 0.308918i
\(56\) −0.802527 + 1.46181i −0.107242 + 0.195343i
\(57\) 2.38156 5.21488i 0.315445 0.690728i
\(58\) 1.50101 0.143329i 0.197092 0.0188200i
\(59\) −7.83184 6.15903i −1.01962 0.801837i −0.0392940 0.999228i \(-0.512511\pi\)
−0.980325 + 0.197391i \(0.936753\pi\)
\(60\) −0.123789 2.59864i −0.0159810 0.335483i
\(61\) 1.87416 + 7.72541i 0.239962 + 0.989138i 0.956533 + 0.291624i \(0.0941954\pi\)
−0.716571 + 0.697514i \(0.754289\pi\)
\(62\) 0.0806371 + 0.560843i 0.0102409 + 0.0712272i
\(63\) −1.68915 + 2.03636i −0.212813 + 0.256557i
\(64\) −6.22765 4.00227i −0.778457 0.500284i
\(65\) −6.52165 1.25694i −0.808911 0.155905i
\(66\) 0.120256 0.495702i 0.0148025 0.0610167i
\(67\) 9.58930 + 0.915667i 1.17152 + 0.111866i 0.662617 0.748958i \(-0.269446\pi\)
0.508902 + 0.860825i \(0.330052\pi\)
\(68\) −2.11845 3.66927i −0.256900 0.444964i
\(69\) 4.27380 2.17592i 0.514505 0.261950i
\(70\) 0.426985 0.350921i 0.0510345 0.0419431i
\(71\) −2.89468 6.33846i −0.343535 0.752236i 0.656463 0.754358i \(-0.272052\pi\)
−0.999998 + 0.00212189i \(0.999325\pi\)
\(72\) 0.456170 + 0.434957i 0.0537601 + 0.0512602i
\(73\) 4.06933 + 11.7575i 0.476279 + 1.37612i 0.885906 + 0.463864i \(0.153537\pi\)
−0.409628 + 0.912253i \(0.634341\pi\)
\(74\) −0.514399 + 0.265191i −0.0597977 + 0.0308279i
\(75\) 1.06774 3.08502i 0.123292 0.356228i
\(76\) 1.61125 + 11.2065i 0.184823 + 1.28548i
\(77\) −7.83107 + 3.33243i −0.892434 + 0.379766i
\(78\) 0.672554 0.432224i 0.0761517 0.0489397i
\(79\) −11.4628 + 4.58902i −1.28967 + 0.516305i −0.912210 0.409722i \(-0.865626\pi\)
−0.377457 + 0.926027i \(0.623201\pi\)
\(80\) 2.94176 + 4.13113i 0.328899 + 0.461874i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −1.36573 + 0.546755i −0.150819 + 0.0603790i
\(83\) 2.44600 1.57195i 0.268484 0.172544i −0.399471 0.916746i \(-0.630806\pi\)
0.667955 + 0.744202i \(0.267170\pi\)
\(84\) 0.632088 5.18660i 0.0689665 0.565905i
\(85\) 0.402223 + 2.79752i 0.0436272 + 0.303434i
\(86\) 0.358450 1.03567i 0.0386526 0.111679i
\(87\) −8.45180 + 4.35721i −0.906129 + 0.467142i
\(88\) 0.663129 + 1.91599i 0.0706898 + 0.204245i
\(89\) 8.39826 + 8.00773i 0.890214 + 0.848817i 0.989245 0.146267i \(-0.0467259\pi\)
−0.0990311 + 0.995084i \(0.531574\pi\)
\(90\) −0.0867784 0.190018i −0.00914725 0.0200297i
\(91\) −12.4873 4.68988i −1.30903 0.491633i
\(92\) −4.77710 + 8.17805i −0.498047 + 0.852621i
\(93\) −1.78661 3.09449i −0.185262 0.320884i
\(94\) 0.237048 + 0.0226353i 0.0244496 + 0.00233466i
\(95\) 1.78053 7.33946i 0.182679 0.753012i
\(96\) −1.83725 0.354101i −0.187514 0.0361403i
\(97\) 6.27343 + 4.03169i 0.636970 + 0.409356i 0.818884 0.573959i \(-0.194593\pi\)
−0.181914 + 0.983314i \(0.558229\pi\)
\(98\) 0.963802 0.550628i 0.0973588 0.0556219i
\(99\) 0.457786 + 3.18397i 0.0460093 + 0.320001i
\(100\) 1.51995 + 6.26532i 0.151995 + 0.626532i
\(101\) −0.0580670 1.21898i −0.00577788 0.121293i −0.999914 0.0131522i \(-0.995813\pi\)
0.994136 0.108140i \(-0.0344896\pi\)
\(102\) −0.267419 0.210300i −0.0264784 0.0208228i
\(103\) 8.46685 0.808486i 0.834264 0.0796625i 0.330824 0.943693i \(-0.392673\pi\)
0.503440 + 0.864030i \(0.332067\pi\)
\(104\) −1.32009 + 2.89059i −0.129445 + 0.283446i
\(105\) −1.67732 + 3.05526i −0.163690 + 0.298163i
\(106\) −0.623861 + 0.400931i −0.0605947 + 0.0389419i
\(107\) 2.22418 + 9.16820i 0.215020 + 0.886323i 0.972395 + 0.233343i \(0.0749664\pi\)
−0.757375 + 0.652980i \(0.773518\pi\)
\(108\) −1.83339 0.733979i −0.176418 0.0706272i
\(109\) −4.41881 + 0.851655i −0.423245 + 0.0815738i −0.396426 0.918067i \(-0.629750\pi\)
−0.0268186 + 0.999640i \(0.508538\pi\)
\(110\) 0.0319731 0.671197i 0.00304851 0.0639961i
\(111\) 2.39002 2.75823i 0.226851 0.261800i
\(112\) 4.42968 + 9.17184i 0.418565 + 0.866657i
\(113\) 5.96125 + 13.0533i 0.560787 + 1.22795i 0.951559 + 0.307465i \(0.0994807\pi\)
−0.390772 + 0.920487i \(0.627792\pi\)
\(114\) 0.454543 + 0.787291i 0.0425718 + 0.0737365i
\(115\) 4.98590 3.88017i 0.464937 0.361828i
\(116\) 9.38930 16.2627i 0.871775 1.50996i
\(117\) −2.92445 + 4.10682i −0.270366 + 0.379675i
\(118\) 1.51593 0.445118i 0.139553 0.0409764i
\(119\) −0.147973 + 5.67433i −0.0135646 + 0.520165i
\(120\) 0.698518 + 0.448910i 0.0637657 + 0.0409797i
\(121\) 0.213491 0.616843i 0.0194083 0.0560766i
\(122\) −1.17027 0.468505i −0.105951 0.0424165i
\(123\) 6.71424 6.40202i 0.605403 0.577250i
\(124\) 6.27213 + 3.23351i 0.563254 + 0.290378i
\(125\) 1.54944 10.7766i 0.138586 0.963886i
\(126\) −0.107664 0.405492i −0.00959152 0.0361241i
\(127\) −3.65176 + 7.99623i −0.324041 + 0.709551i −0.999615 0.0277411i \(-0.991169\pi\)
0.675574 + 0.737292i \(0.263896\pi\)
\(128\) 4.56386 1.82710i 0.403392 0.161494i
\(129\) 0.328856 + 6.90354i 0.0289542 + 0.607823i
\(130\) 0.762224 0.726779i 0.0668514 0.0637427i
\(131\) −12.9247 + 10.1641i −1.12924 + 0.888043i −0.994695 0.102865i \(-0.967199\pi\)
−0.134543 + 0.990908i \(0.542957\pi\)
\(132\) −4.16003 4.80093i −0.362084 0.417868i
\(133\) 6.00253 13.9297i 0.520486 1.20786i
\(134\) −1.00031 + 1.15441i −0.0864132 + 0.0997262i
\(135\) 0.953416 + 0.909080i 0.0820570 + 0.0782412i
\(136\) 1.34614 + 0.128541i 0.115430 + 0.0110223i
\(137\) −6.77702 + 11.7381i −0.579000 + 1.00286i 0.416595 + 0.909092i \(0.363223\pi\)
−0.995594 + 0.0937648i \(0.970110\pi\)
\(138\) −0.112046 + 0.752184i −0.00953802 + 0.0640302i
\(139\) −14.4553 −1.22609 −0.613043 0.790050i \(-0.710055\pi\)
−0.613043 + 0.790050i \(0.710055\pi\)
\(140\) −0.475441 6.86672i −0.0401821 0.580344i
\(141\) −1.44086 + 0.423076i −0.121343 + 0.0356294i
\(142\) 1.08499 + 0.209114i 0.0910499 + 0.0175484i
\(143\) −14.4148 + 7.43133i −1.20542 + 0.621439i
\(144\) 3.78019 0.728572i 0.315016 0.0607144i
\(145\) −9.84653 + 7.74340i −0.817710 + 0.643054i
\(146\) −1.89301 0.555837i −0.156666 0.0460014i
\(147\) −4.35207 + 5.48265i −0.358953 + 0.452202i
\(148\) −1.02574 + 7.13419i −0.0843155 + 0.586427i
\(149\) −13.7235 + 1.31044i −1.12428 + 0.107355i −0.640588 0.767885i \(-0.721309\pi\)
−0.483688 + 0.875240i \(0.660703\pi\)
\(150\) 0.300278 + 0.421681i 0.0245176 + 0.0344301i
\(151\) −0.195291 0.153578i −0.0158925 0.0124980i 0.610181 0.792262i \(-0.291097\pi\)
−0.626074 + 0.779764i \(0.715339\pi\)
\(152\) −3.21179 1.65579i −0.260511 0.134303i
\(153\) 2.05852 + 0.604436i 0.166422 + 0.0488658i
\(154\) 0.289862 1.31805i 0.0233577 0.106211i
\(155\) −3.08256 3.55746i −0.247597 0.285742i
\(156\) 0.473752 9.94528i 0.0379305 0.796260i
\(157\) −2.13923 6.18090i −0.170729 0.493290i 0.826881 0.562376i \(-0.190113\pi\)
−0.997611 + 0.0690867i \(0.977992\pi\)
\(158\) 0.461600 1.90274i 0.0367229 0.151374i
\(159\) 2.71272 3.80948i 0.215133 0.302112i
\(160\) −2.46486 −0.194864
\(161\) 11.1809 5.99902i 0.881176 0.472789i
\(162\) −0.158572 −0.0124586
\(163\) 3.59969 5.05505i 0.281949 0.395942i −0.649178 0.760636i \(-0.724887\pi\)
0.931127 + 0.364694i \(0.118826\pi\)
\(164\) −4.31938 + 17.8047i −0.337287 + 1.39032i
\(165\) 1.38597 + 4.00450i 0.107898 + 0.311750i
\(166\) −0.0219380 + 0.460536i −0.00170272 + 0.0357445i
\(167\) 6.56678 + 7.57847i 0.508153 + 0.586439i 0.950625 0.310343i \(-0.100444\pi\)
−0.442472 + 0.896782i \(0.645898\pi\)
\(168\) 1.23140 + 1.12454i 0.0950049 + 0.0867602i
\(169\) −11.9153 3.49866i −0.916565 0.269128i
\(170\) −0.398350 0.205363i −0.0305520 0.0157507i
\(171\) −4.50641 3.54388i −0.344614 0.271007i
\(172\) −7.91717 11.1181i −0.603678 0.847748i
\(173\) −20.1192 + 1.92115i −1.52964 + 0.146062i −0.825662 0.564164i \(-0.809198\pi\)
−0.703973 + 0.710227i \(0.748592\pi\)
\(174\) 0.214587 1.49249i 0.0162678 0.113145i
\(175\) 2.64861 8.22112i 0.200216 0.621458i
\(176\) 11.8820 + 3.48886i 0.895637 + 0.262983i
\(177\) −7.83184 + 6.15903i −0.588677 + 0.462941i
\(178\) −1.80683 + 0.348237i −0.135427 + 0.0261015i
\(179\) 21.1349 10.8958i 1.57969 0.814389i 0.579694 0.814835i \(-0.303172\pi\)
1.00000 0.000446030i \(0.000141976\pi\)
\(180\) −2.55457 0.492354i −0.190407 0.0366979i
\(181\) 17.1121 5.02457i 1.27193 0.373474i 0.425011 0.905188i \(-0.360270\pi\)
0.846924 + 0.531714i \(0.178452\pi\)
\(182\) 1.75438 1.18160i 0.130043 0.0875858i
\(183\) 7.94950 0.587644
\(184\) −1.24175 2.75598i −0.0915433 0.203174i
\(185\) 2.40395 4.16377i 0.176742 0.306127i
\(186\) 0.564045 + 0.0538598i 0.0413578 + 0.00394919i
\(187\) 4.99465 + 4.76239i 0.365245 + 0.348260i
\(188\) 1.94207 2.24127i 0.141640 0.163461i
\(189\) 1.58072 + 2.12163i 0.114981 + 0.154326i
\(190\) 0.784254 + 0.905078i 0.0568958 + 0.0656612i
\(191\) 16.9397 13.3215i 1.22571 0.963912i 0.225767 0.974181i \(-0.427511\pi\)
0.999947 + 0.0102694i \(0.00326890\pi\)
\(192\) −5.35768 + 5.10853i −0.386657 + 0.368677i
\(193\) −0.570935 11.9854i −0.0410968 0.862728i −0.921471 0.388448i \(-0.873011\pi\)
0.880374 0.474280i \(-0.157292\pi\)
\(194\) −1.09780 + 0.439494i −0.0788176 + 0.0315538i
\(195\) −2.75905 + 6.04148i −0.197580 + 0.432639i
\(196\) 1.37656 13.7553i 0.0983260 0.982520i
\(197\) 1.03527 7.20047i 0.0737601 0.513013i −0.919128 0.393959i \(-0.871105\pi\)
0.992888 0.119053i \(-0.0379859\pi\)
\(198\) −0.453378 0.233732i −0.0322201 0.0166106i
\(199\) 4.62552 4.41042i 0.327894 0.312646i −0.508193 0.861243i \(-0.669686\pi\)
0.836087 + 0.548597i \(0.184838\pi\)
\(200\) −1.91027 0.764755i −0.135076 0.0540763i
\(201\) 3.15062 9.10311i 0.222227 0.642084i
\(202\) 0.162795 + 0.104622i 0.0114542 + 0.00736117i
\(203\) −22.1080 + 12.0068i −1.55168 + 0.842711i
\(204\) −4.06528 + 1.19367i −0.284627 + 0.0835739i
\(205\) 7.08911 9.95527i 0.495125 0.695306i
\(206\) −0.674356 + 1.16802i −0.0469846 + 0.0813797i
\(207\) −1.10700 4.66632i −0.0769415 0.324332i
\(208\) 9.70460 + 16.8089i 0.672893 + 1.16549i
\(209\) −7.66078 16.7748i −0.529908 1.16034i
\(210\) −0.240363 0.497682i −0.0165866 0.0343433i
\(211\) 5.74167 6.62625i 0.395273 0.456170i −0.522873 0.852410i \(-0.675140\pi\)
0.918147 + 0.396241i \(0.129685\pi\)
\(212\) −0.439452 + 9.22524i −0.0301817 + 0.633592i
\(213\) −6.84223 + 1.31873i −0.468822 + 0.0903580i
\(214\) −1.38883 0.556002i −0.0949382 0.0380075i
\(215\) 2.14652 + 8.84809i 0.146392 + 0.603435i
\(216\) 0.530242 0.340766i 0.0360784 0.0231862i
\(217\) −4.90206 8.08360i −0.332774 0.548751i
\(218\) 0.296438 0.649108i 0.0200773 0.0439631i
\(219\) 12.3855 1.18267i 0.836935 0.0799176i
\(220\) −6.57814 5.17311i −0.443498 0.348771i
\(221\) 0.514671 + 10.8043i 0.0346205 + 0.726773i
\(222\) 0.136442 + 0.562420i 0.00915737 + 0.0377472i
\(223\) −2.22180 15.4530i −0.148783 1.03481i −0.918216 0.396080i \(-0.870370\pi\)
0.769433 0.638727i \(-0.220539\pi\)
\(224\) −4.87995 0.832008i −0.326056 0.0555909i
\(225\) −2.74633 1.76496i −0.183089 0.117664i
\(226\) −2.23440 0.430645i −0.148630 0.0286461i
\(227\) 1.72912 7.12754i 0.114766 0.473071i −0.885203 0.465205i \(-0.845981\pi\)
0.999969 0.00786674i \(-0.00250409\pi\)
\(228\) 11.2705 + 1.07620i 0.746406 + 0.0712732i
\(229\) 14.3138 + 24.7923i 0.945885 + 1.63832i 0.753969 + 0.656910i \(0.228137\pi\)
0.191916 + 0.981411i \(0.438530\pi\)
\(230\) 0.0425905 + 1.00092i 0.00280833 + 0.0659989i
\(231\) 1.39225 + 8.39598i 0.0916032 + 0.552415i
\(232\) 2.48976 + 5.45182i 0.163461 + 0.357929i
\(233\) 15.9564 + 15.2144i 1.04534 + 0.996728i 0.999997 0.00224311i \(-0.000714004\pi\)
0.0453412 + 0.998972i \(0.485562\pi\)
\(234\) −0.261480 0.755496i −0.0170935 0.0493883i
\(235\) −1.75835 + 0.906493i −0.114702 + 0.0591331i
\(236\) 6.43554 18.5943i 0.418918 1.21038i
\(237\) 1.75720 + 12.2216i 0.114142 + 0.793878i
\(238\) −0.719336 0.541043i −0.0466277 0.0350706i
\(239\) −6.08289 + 3.90924i −0.393470 + 0.252868i −0.722384 0.691492i \(-0.756954\pi\)
0.328914 + 0.944360i \(0.393317\pi\)
\(240\) 4.70823 1.88489i 0.303915 0.121669i
\(241\) −6.24720 8.77297i −0.402418 0.565117i 0.562790 0.826600i \(-0.309728\pi\)
−0.965208 + 0.261483i \(0.915788\pi\)
\(242\) 0.0600398 + 0.0843140i 0.00385950 + 0.00541991i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) −13.2069 + 8.48758i −0.845487 + 0.543361i
\(245\) −4.26273 + 8.17711i −0.272336 + 0.522416i
\(246\) 0.209360 + 1.45613i 0.0133483 + 0.0928396i
\(247\) 9.45345 27.3140i 0.601509 1.73795i
\(248\) −2.00183 + 1.03202i −0.127116 + 0.0655331i
\(249\) −0.950972 2.74765i −0.0602654 0.174125i
\(250\) 1.24948 + 1.19138i 0.0790240 + 0.0753492i
\(251\) −3.03420 6.64397i −0.191517 0.419363i 0.789377 0.613909i \(-0.210404\pi\)
−0.980893 + 0.194546i \(0.937677\pi\)
\(252\) −4.89138 1.83706i −0.308128 0.115724i
\(253\) 3.71304 14.9733i 0.233437 0.941364i
\(254\) −0.696973 1.20719i −0.0437320 0.0757460i
\(255\) 2.81349 + 0.268656i 0.176188 + 0.0168239i
\(256\) 3.30678 13.6307i 0.206674 0.851921i
\(257\) 26.0580 + 5.02228i 1.62546 + 0.313281i 0.918934 0.394410i \(-0.129051\pi\)
0.706522 + 0.707691i \(0.250263\pi\)
\(258\) −0.921970 0.592514i −0.0573994 0.0368883i
\(259\) 6.16485 7.43203i 0.383065 0.461804i
\(260\) −1.86665 12.9828i −0.115765 0.805161i
\(261\) 2.24180 + 9.24081i 0.138764 + 0.571992i
\(262\) −0.124062 2.60437i −0.00766455 0.160899i
\(263\) −9.14179 7.18919i −0.563707 0.443304i 0.295200 0.955435i \(-0.404614\pi\)
−0.858907 + 0.512131i \(0.828856\pi\)
\(264\) 2.01832 0.192726i 0.124219 0.0118615i
\(265\) 2.55929 5.60407i 0.157216 0.344256i
\(266\) 1.24717 + 2.05661i 0.0764687 + 0.126099i
\(267\) 9.76197 6.27364i 0.597423 0.383940i
\(268\) 4.48499 + 18.4874i 0.273964 + 1.12930i
\(269\) 13.9611 + 5.58918i 0.851223 + 0.340778i 0.755915 0.654670i \(-0.227192\pi\)
0.0953075 + 0.995448i \(0.469617\pi\)
\(270\) −0.205121 + 0.0395338i −0.0124832 + 0.00240595i
\(271\) 0.370608 7.78002i 0.0225128 0.472603i −0.959258 0.282533i \(-0.908825\pi\)
0.981771 0.190070i \(-0.0608715\pi\)
\(272\) 5.40874 6.24202i 0.327953 0.378478i
\(273\) −7.50168 + 11.0297i −0.454022 + 0.667545i
\(274\) −0.892847 1.95506i −0.0539389 0.118110i
\(275\) −5.25060 9.09430i −0.316623 0.548407i
\(276\) 6.82128 + 6.57049i 0.410593 + 0.395497i
\(277\) −3.01006 + 5.21357i −0.180857 + 0.313253i −0.942173 0.335128i \(-0.891220\pi\)
0.761316 + 0.648381i \(0.224554\pi\)
\(278\) 1.32961 1.86718i 0.0797448 0.111986i
\(279\) −3.42847 + 1.00669i −0.205257 + 0.0602689i
\(280\) 1.87324 + 1.14765i 0.111948 + 0.0685850i
\(281\) 9.64949 + 6.20135i 0.575641 + 0.369942i 0.795834 0.605514i \(-0.207033\pi\)
−0.220194 + 0.975456i \(0.570669\pi\)
\(282\) 0.0778834 0.225029i 0.00463789 0.0134003i
\(283\) −13.6616 5.46930i −0.812100 0.325116i −0.0718228 0.997417i \(-0.522882\pi\)
−0.740277 + 0.672301i \(0.765306\pi\)
\(284\) 9.95937 9.49624i 0.590980 0.563498i
\(285\) −6.71279 3.46069i −0.397632 0.204993i
\(286\) 0.365985 2.54548i 0.0216411 0.150517i
\(287\) 17.3955 17.3166i 1.02682 1.02217i
\(288\) −0.777268 + 1.70198i −0.0458010 + 0.100290i
\(289\) −11.5091 + 4.60755i −0.677007 + 0.271033i
\(290\) −0.0945147 1.98411i −0.00555010 0.116511i
\(291\) 5.39706 5.14608i 0.316381 0.301669i
\(292\) −19.3140 + 15.1887i −1.13026 + 0.888850i
\(293\) 13.6167 + 15.7145i 0.795495 + 0.918050i 0.998125 0.0612054i \(-0.0194945\pi\)
−0.202630 + 0.979255i \(0.564949\pi\)
\(294\) −0.307882 1.06645i −0.0179560 0.0621966i
\(295\) −8.59537 + 9.91958i −0.500442 + 0.577540i
\(296\) −1.66487 1.58745i −0.0967684 0.0922685i
\(297\) 3.20215 + 0.305768i 0.185808 + 0.0177425i
\(298\) 1.09303 1.89319i 0.0633177 0.109669i
\(299\) 20.4067 12.9688i 1.18015 0.750003i
\(300\) 6.44705 0.372221
\(301\) 1.26305 + 18.2421i 0.0728012 + 1.05146i
\(302\) 0.0378005 0.0110992i 0.00217518 0.000638689i
\(303\) −1.19830 0.230954i −0.0688408 0.0132680i
\(304\) −19.6171 + 10.1133i −1.12512 + 0.580037i
\(305\) 10.2831 1.98190i 0.588807 0.113483i
\(306\) −0.267419 + 0.210300i −0.0152873 + 0.0120221i
\(307\) −13.5783 3.98694i −0.774952 0.227547i −0.129738 0.991548i \(-0.541414\pi\)
−0.645214 + 0.764002i \(0.723232\pi\)
\(308\) −11.2773 12.4622i −0.642583 0.710100i
\(309\) 1.21044 8.41879i 0.0688595 0.478928i
\(310\) 0.743049 0.0709525i 0.0422023 0.00402983i
\(311\) 2.78137 + 3.90589i 0.157717 + 0.221482i 0.885872 0.463930i \(-0.153561\pi\)
−0.728155 + 0.685413i \(0.759622\pi\)
\(312\) 2.49789 + 1.96436i 0.141415 + 0.111210i
\(313\) 13.1670 + 6.78807i 0.744244 + 0.383684i 0.788257 0.615347i \(-0.210984\pi\)
−0.0440130 + 0.999031i \(0.514014\pi\)
\(314\) 0.995148 + 0.292202i 0.0561594 + 0.0164899i
\(315\) 2.57369 + 2.35034i 0.145011 + 0.132427i
\(316\) −15.9682 18.4283i −0.898280 1.03667i
\(317\) −0.683281 + 14.3438i −0.0383769 + 0.805629i 0.894855 + 0.446356i \(0.147278\pi\)
−0.933232 + 0.359273i \(0.883025\pi\)
\(318\) 0.242549 + 0.700798i 0.0136015 + 0.0392988i
\(319\) −7.21122 + 29.7251i −0.403751 + 1.66428i
\(320\) −5.65681 + 7.94388i −0.316225 + 0.444076i
\(321\) 9.43413 0.526562
\(322\) −0.253538 + 1.99601i −0.0141291 + 0.111233i
\(323\) −12.2996 −0.684370
\(324\) −1.14553 + 1.60867i −0.0636405 + 0.0893705i
\(325\) 3.88033 15.9949i 0.215242 0.887239i
\(326\) 0.321853 + 0.929934i 0.0178258 + 0.0515043i
\(327\) −0.214125 + 4.49503i −0.0118411 + 0.248576i
\(328\) −3.82925 4.41920i −0.211435 0.244009i
\(329\) −3.78719 + 1.20116i −0.208794 + 0.0662219i
\(330\) −0.644739 0.189312i −0.0354917 0.0104213i
\(331\) −24.1722 12.4616i −1.32862 0.684952i −0.359874 0.933001i \(-0.617180\pi\)
−0.968748 + 0.248049i \(0.920211\pi\)
\(332\) 4.51354 + 3.54948i 0.247712 + 0.194803i
\(333\) −2.11701 2.97293i −0.116012 0.162915i
\(334\) −1.58292 + 0.151150i −0.0866135 + 0.00827058i
\(335\) 1.80597 12.5608i 0.0986709 0.686271i
\(336\) 9.95763 2.14247i 0.543234 0.116881i
\(337\) −18.0603 5.30299i −0.983809 0.288872i −0.250013 0.968242i \(-0.580435\pi\)
−0.733796 + 0.679370i \(0.762253\pi\)
\(338\) 1.54790 1.21728i 0.0841947 0.0662114i
\(339\) 14.0908 2.71577i 0.765306 0.147501i
\(340\) −4.96105 + 2.55760i −0.269051 + 0.138705i
\(341\) −11.2863 2.17525i −0.611187 0.117797i
\(342\) 0.872261 0.256119i 0.0471665 0.0138493i
\(343\) −11.1996 + 14.7502i −0.604720 + 0.796439i
\(344\) 4.35624 0.234872
\(345\) −2.59532 5.76014i −0.139727 0.310115i
\(346\) 1.60243 2.77548i 0.0861470 0.149211i
\(347\) 20.0244 + 1.91209i 1.07496 + 0.102647i 0.617492 0.786577i \(-0.288149\pi\)
0.457472 + 0.889224i \(0.348755\pi\)
\(348\) −13.5907 12.9587i −0.728539 0.694660i
\(349\) 10.8046 12.4692i 0.578359 0.667461i −0.388892 0.921283i \(-0.627142\pi\)
0.967251 + 0.253822i \(0.0816877\pi\)
\(350\) 0.818292 + 1.09830i 0.0437395 + 0.0587067i
\(351\) 3.30159 + 3.81024i 0.176226 + 0.203375i
\(352\) −4.73100 + 3.72050i −0.252163 + 0.198303i
\(353\) 13.7487 13.1094i 0.731770 0.697741i −0.229513 0.973306i \(-0.573713\pi\)
0.961283 + 0.275564i \(0.0888647\pi\)
\(354\) −0.0751761 1.57814i −0.00399557 0.0838773i
\(355\) −8.52200 + 3.41169i −0.452301 + 0.181074i
\(356\) −9.51980 + 20.8455i −0.504548 + 1.10481i
\(357\) 5.47950 + 1.48158i 0.290006 + 0.0784133i
\(358\) −0.536604 + 3.73217i −0.0283604 + 0.197251i
\(359\) −22.3536 11.5241i −1.17978 0.608218i −0.247121 0.968985i \(-0.579485\pi\)
−0.932656 + 0.360767i \(0.882515\pi\)
\(360\) 0.600938 0.572993i 0.0316722 0.0301994i
\(361\) 12.8735 + 5.15376i 0.677550 + 0.271250i
\(362\) −0.924967 + 2.67252i −0.0486152 + 0.140464i
\(363\) −0.549122 0.352900i −0.0288215 0.0185224i
\(364\) 0.686717 26.3336i 0.0359937 1.38026i
\(365\) 15.7264 4.61769i 0.823158 0.241701i
\(366\) −0.731200 + 1.02683i −0.0382205 + 0.0536731i
\(367\) 7.94823 13.7667i 0.414894 0.718618i −0.580523 0.814244i \(-0.697152\pi\)
0.995417 + 0.0956257i \(0.0304852\pi\)
\(368\) −18.1112 3.58606i −0.944112 0.186936i
\(369\) −4.63861 8.03431i −0.241476 0.418249i
\(370\) 0.316712 + 0.693503i 0.0164651 + 0.0360535i
\(371\) 6.95856 10.2311i 0.361270 0.531173i
\(372\) 4.62107 5.33300i 0.239591 0.276503i
\(373\) −0.687832 + 14.4394i −0.0356146 + 0.747642i 0.908472 + 0.417945i \(0.137250\pi\)
−0.944087 + 0.329697i \(0.893053\pi\)
\(374\) −1.07456 + 0.207105i −0.0555644 + 0.0107092i
\(375\) −10.1075 4.04643i −0.521949 0.208957i
\(376\) 0.223150 + 0.919836i 0.0115081 + 0.0474369i
\(377\) −40.3301 + 25.9186i −2.07710 + 1.33487i
\(378\) −0.419444 + 0.00903129i −0.0215739 + 0.000464520i
\(379\) −7.80485 + 17.0902i −0.400908 + 0.877867i 0.596269 + 0.802785i \(0.296649\pi\)
−0.997177 + 0.0750819i \(0.976078\pi\)
\(380\) 14.8473 1.41774i 0.761648 0.0727286i
\(381\) 6.90990 + 5.43400i 0.354005 + 0.278392i
\(382\) 0.162601 + 3.41341i 0.00831937 + 0.174645i
\(383\) −1.01425 4.18079i −0.0518257 0.213628i 0.940011 0.341145i \(-0.110815\pi\)
−0.991836 + 0.127516i \(0.959299\pi\)
\(384\) −0.699621 4.86597i −0.0357024 0.248316i
\(385\) 3.89416 + 10.5135i 0.198465 + 0.535819i
\(386\) 1.60065 + 1.02868i 0.0814712 + 0.0523583i
\(387\) 6.78647 + 1.30798i 0.344976 + 0.0664886i
\(388\) −3.47201 + 14.3118i −0.176265 + 0.726573i
\(389\) −24.7674 2.36500i −1.25576 0.119910i −0.554116 0.832440i \(-0.686944\pi\)
−0.701642 + 0.712529i \(0.747550\pi\)
\(390\) −0.526591 0.912082i −0.0266650 0.0461851i
\(391\) −8.05540 6.40126i −0.407379 0.323726i
\(392\) 3.32128 + 2.90443i 0.167750 + 0.146696i
\(393\) 6.83048 + 14.9567i 0.344552 + 0.754464i
\(394\) 0.834852 + 0.796030i 0.0420592 + 0.0401034i
\(395\) 5.32001 + 15.3712i 0.267679 + 0.773407i
\(396\) −5.64637 + 2.91091i −0.283741 + 0.146278i
\(397\) 3.57158 10.3194i 0.179252 0.517915i −0.819201 0.573506i \(-0.805583\pi\)
0.998454 + 0.0555905i \(0.0177041\pi\)
\(398\) 0.144231 + 1.00315i 0.00722963 + 0.0502832i
\(399\) −12.1219 9.11739i −0.606854 0.456440i
\(400\) −10.5727 + 6.79468i −0.528636 + 0.339734i
\(401\) −27.2589 + 10.9128i −1.36124 + 0.544959i −0.933382 0.358885i \(-0.883157\pi\)
−0.427861 + 0.903844i \(0.640733\pi\)
\(402\) 0.886042 + 1.24427i 0.0441918 + 0.0620587i
\(403\) −10.4497 14.6745i −0.520536 0.730990i
\(404\) 2.23740 0.895718i 0.111315 0.0445636i
\(405\) 1.10823 0.712217i 0.0550684 0.0353903i
\(406\) 0.482610 3.96006i 0.0239516 0.196535i
\(407\) −1.67077 11.6204i −0.0828168 0.576004i
\(408\) 0.442282 1.27789i 0.0218962 0.0632649i
\(409\) 10.5612 5.44470i 0.522220 0.269223i −0.176898 0.984229i \(-0.556606\pi\)
0.699118 + 0.715006i \(0.253576\pi\)
\(410\) 0.633848 + 1.83138i 0.0313035 + 0.0904457i
\(411\) 9.80952 + 9.35336i 0.483868 + 0.461367i
\(412\) 6.97767 + 15.2790i 0.343765 + 0.752741i
\(413\) −20.3655 + 16.7375i −1.00212 + 0.823600i
\(414\) 0.704566 + 0.286222i 0.0346275 + 0.0140671i
\(415\) −1.91515 3.31714i −0.0940111 0.162832i
\(416\) −9.39056 0.896690i −0.460410 0.0439638i
\(417\) −3.40797 + 14.0479i −0.166889 + 0.687927i
\(418\) 2.87142 + 0.553421i 0.140446 + 0.0270687i
\(419\) 11.7631 + 7.55970i 0.574666 + 0.369315i 0.795461 0.606005i \(-0.207229\pi\)
−0.220795 + 0.975320i \(0.570865\pi\)
\(420\) −6.78524 1.15685i −0.331086 0.0564486i
\(421\) −1.79728 12.5004i −0.0875943 0.609232i −0.985580 0.169208i \(-0.945879\pi\)
0.897986 0.440024i \(-0.145030\pi\)
\(422\) 0.327781 + 1.35113i 0.0159561 + 0.0657721i
\(423\) 0.0714534 + 1.49999i 0.00347418 + 0.0729321i
\(424\) −2.31704 1.82214i −0.112526 0.0884910i
\(425\) −6.97218 + 0.665762i −0.338200 + 0.0322942i
\(426\) 0.459014 1.00510i 0.0222393 0.0486973i
\(427\) 21.0275 0.452755i 1.01759 0.0219104i
\(428\) −15.6734 + 10.0727i −0.757604 + 0.486882i
\(429\) 3.82344 + 15.7604i 0.184598 + 0.760922i
\(430\) −1.34034 0.536590i −0.0646367 0.0258766i
\(431\) 20.8704 4.02244i 1.00529 0.193754i 0.340070 0.940400i \(-0.389549\pi\)
0.665221 + 0.746646i \(0.268337\pi\)
\(432\) 0.183179 3.84540i 0.00881321 0.185012i
\(433\) 1.51928 1.75334i 0.0730118 0.0842601i −0.718068 0.695972i \(-0.754974\pi\)
0.791080 + 0.611712i \(0.209519\pi\)
\(434\) 1.49504 + 0.110342i 0.0717644 + 0.00529658i
\(435\) 5.20372 + 11.3946i 0.249499 + 0.546327i
\(436\) −4.44355 7.69646i −0.212807 0.368593i
\(437\) 13.6261 + 23.8802i 0.651827 + 1.14234i
\(438\) −0.986463 + 1.70860i −0.0471350 + 0.0816402i
\(439\) −0.632427 + 0.888120i −0.0301841 + 0.0423876i −0.829392 0.558667i \(-0.811313\pi\)
0.799208 + 0.601054i \(0.205252\pi\)
\(440\) 2.56274 0.752490i 0.122174 0.0358735i
\(441\) 4.30207 + 5.52197i 0.204860 + 0.262951i
\(442\) −1.44291 0.927304i −0.0686324 0.0441074i
\(443\) 7.99395 23.0970i 0.379804 1.09737i −0.579494 0.814977i \(-0.696750\pi\)
0.959298 0.282396i \(-0.0911291\pi\)
\(444\) 6.69126 + 2.67878i 0.317553 + 0.127129i
\(445\) 11.0635 10.5490i 0.524461 0.500072i
\(446\) 2.20041 + 1.13439i 0.104192 + 0.0537148i
\(447\) −1.96195 + 13.6456i −0.0927969 + 0.645417i
\(448\) −13.8808 + 13.8179i −0.655808 + 0.652835i
\(449\) −8.44765 + 18.4978i −0.398669 + 0.872964i 0.598734 + 0.800948i \(0.295671\pi\)
−0.997403 + 0.0720164i \(0.977057\pi\)
\(450\) 0.480587 0.192398i 0.0226551 0.00906974i
\(451\) −1.41995 29.8084i −0.0668627 1.40362i
\(452\) −20.5102 + 19.5564i −0.964717 + 0.919856i
\(453\) −0.195291 + 0.153578i −0.00917556 + 0.00721574i
\(454\) 0.761610 + 0.878945i 0.0357441 + 0.0412509i
\(455\) −6.95398 + 16.1377i −0.326008 + 0.756546i
\(456\) −2.36633 + 2.73089i −0.110813 + 0.127886i
\(457\) −0.317149 0.302401i −0.0148356 0.0141457i 0.682625 0.730769i \(-0.260838\pi\)
−0.697461 + 0.716623i \(0.745687\pi\)
\(458\) −4.51899 0.431511i −0.211159 0.0201632i
\(459\) 1.07271 1.85799i 0.0500699 0.0867237i
\(460\) 10.4618 + 6.79863i 0.487783 + 0.316988i
\(461\) 27.5763 1.28435 0.642177 0.766556i \(-0.278031\pi\)
0.642177 + 0.766556i \(0.278031\pi\)
\(462\) −1.21256 0.592433i −0.0564133 0.0275625i
\(463\) −21.1743 + 6.21732i −0.984051 + 0.288944i −0.733896 0.679262i \(-0.762300\pi\)
−0.250156 + 0.968206i \(0.580482\pi\)
\(464\) 35.9453 + 6.92789i 1.66872 + 0.321619i
\(465\) −4.18392 + 2.15696i −0.194025 + 0.100027i
\(466\) −3.43291 + 0.661639i −0.159026 + 0.0306498i
\(467\) −15.8936 + 12.4989i −0.735470 + 0.578380i −0.914077 0.405540i \(-0.867083\pi\)
0.178607 + 0.983920i \(0.442841\pi\)
\(468\) −9.55325 2.80509i −0.441599 0.129665i
\(469\) 7.81536 24.2584i 0.360880 1.12015i
\(470\) 0.0446438 0.310504i 0.00205926 0.0143225i
\(471\) −6.51101 + 0.621726i −0.300012 + 0.0286476i
\(472\) 3.64276 + 5.11553i 0.167671 + 0.235462i
\(473\) 17.4755 + 13.7428i 0.803522 + 0.631897i
\(474\) −1.74028 0.897175i −0.0799336 0.0412086i
\(475\) 17.9575 + 5.27280i 0.823948 + 0.241933i
\(476\) −10.6852 + 3.38897i −0.489757 + 0.155333i
\(477\) −3.06255 3.53437i −0.140225 0.161828i
\(478\) 0.0545571 1.14529i 0.00249538 0.0523846i
\(479\) −0.512014 1.47937i −0.0233945 0.0675940i 0.932699 0.360656i \(-0.117447\pi\)
−0.956094 + 0.293062i \(0.905326\pi\)
\(480\) −0.581113 + 2.39538i −0.0265240 + 0.109334i
\(481\) 10.6733 14.9885i 0.486659 0.683417i
\(482\) 1.70782 0.0777889
\(483\) −3.19392 12.2800i −0.145329 0.558760i
\(484\) 1.28907 0.0585942
\(485\) 5.69839 8.00227i 0.258751 0.363364i
\(486\) −0.0373847 + 0.154102i −0.00169581 + 0.00699021i
\(487\) 10.0521 + 29.0437i 0.455506 + 1.31610i 0.905985 + 0.423310i \(0.139132\pi\)
−0.450479 + 0.892787i \(0.648747\pi\)
\(488\) 0.238412 5.00489i 0.0107924 0.226561i
\(489\) −4.06390 4.68999i −0.183776 0.212089i
\(490\) −0.664139 1.30275i −0.0300027 0.0588522i
\(491\) 42.3632 + 12.4390i 1.91183 + 0.561363i 0.980227 + 0.197875i \(0.0634041\pi\)
0.931599 + 0.363487i \(0.118414\pi\)
\(492\) 16.2845 + 8.39524i 0.734162 + 0.378487i
\(493\) 16.0359 + 12.6108i 0.722221 + 0.567961i
\(494\) 2.65858 + 3.73345i 0.119615 + 0.167976i
\(495\) 4.21837 0.402806i 0.189602 0.0181048i
\(496\) −1.95768 + 13.6160i −0.0879026 + 0.611376i
\(497\) −18.0235 + 3.87792i −0.808466 + 0.173949i
\(498\) 0.442382 + 0.129895i 0.0198236 + 0.00582074i
\(499\) −29.4960 + 23.1959i −1.32042 + 1.03839i −0.324715 + 0.945812i \(0.605269\pi\)
−0.995705 + 0.0925787i \(0.970489\pi\)
\(500\) 21.1125 4.06909i 0.944178 0.181975i
\(501\) 8.91302 4.59498i 0.398204 0.205289i
\(502\) 1.13728 + 0.219193i 0.0507593 + 0.00978306i
\(503\) 11.6837 3.43065i 0.520951 0.152965i −0.0106770 0.999943i \(-0.503399\pi\)
0.531628 + 0.846978i \(0.321580\pi\)
\(504\) 1.38316 0.931573i 0.0616107 0.0414955i
\(505\) −1.60765 −0.0715394
\(506\) 1.59256 + 1.85687i 0.0707978 + 0.0825477i
\(507\) −6.20919 + 10.7546i −0.275760 + 0.477630i
\(508\) −17.2816 1.65019i −0.766747 0.0732155i
\(509\) −1.05995 1.01066i −0.0469813 0.0447966i 0.666225 0.745751i \(-0.267909\pi\)
−0.713206 + 0.700954i \(0.752758\pi\)
\(510\) −0.293489 + 0.338704i −0.0129959 + 0.0149981i
\(511\) 32.6940 3.83373i 1.44630 0.169594i
\(512\) 7.89511 + 9.11144i 0.348918 + 0.402673i
\(513\) −4.50641 + 3.54388i −0.198963 + 0.156466i
\(514\) −3.04556 + 2.90393i −0.134334 + 0.128087i
\(515\) −0.533136 11.1919i −0.0234928 0.493175i
\(516\) −12.6712 + 5.07280i −0.557820 + 0.223318i
\(517\) −2.00667 + 4.39399i −0.0882532 + 0.193248i
\(518\) 0.392939 + 1.47991i 0.0172648 + 0.0650235i
\(519\) −2.87629 + 20.0050i −0.126255 + 0.878122i
\(520\) 3.72088 + 1.91825i 0.163172 + 0.0841208i
\(521\) −26.0864 + 24.8733i −1.14287 + 1.08972i −0.147951 + 0.988995i \(0.547268\pi\)
−0.994914 + 0.100726i \(0.967884\pi\)
\(522\) −1.39983 0.560406i −0.0612688 0.0245283i
\(523\) 5.19348 15.0056i 0.227095 0.656148i −0.772677 0.634799i \(-0.781083\pi\)
0.999772 0.0213487i \(-0.00679603\pi\)
\(524\) −27.3169 17.5555i −1.19334 0.766916i
\(525\) −7.36495 4.51215i −0.321433 0.196926i
\(526\) 1.76949 0.519568i 0.0771533 0.0226543i
\(527\) −4.44675 + 6.24459i −0.193703 + 0.272018i
\(528\) 6.19179 10.7245i 0.269463 0.466724i
\(529\) −3.50411 + 22.7315i −0.152353 + 0.988326i
\(530\) 0.488466 + 0.846048i 0.0212176 + 0.0367500i
\(531\) 4.13899 + 9.06312i 0.179617 + 0.393306i
\(532\) 29.8733 + 2.20480i 1.29517 + 0.0955903i
\(533\) 30.6296 35.3484i 1.32671 1.53111i
\(534\) −0.0875545 + 1.83800i −0.00378885 + 0.0795378i
\(535\) 12.2035 2.35204i 0.527604 0.101687i
\(536\) −5.63670 2.25660i −0.243469 0.0974701i
\(537\) −5.60591 23.1079i −0.241913 0.997178i
\(538\) −2.00610 + 1.28924i −0.0864890 + 0.0555831i
\(539\) 4.16087 + 22.1292i 0.179221 + 0.953173i
\(540\) −1.08074 + 2.36649i −0.0465076 + 0.101837i
\(541\) 36.1208 3.44912i 1.55295 0.148289i 0.716994 0.697079i \(-0.245517\pi\)
0.835960 + 0.548790i \(0.184911\pi\)
\(542\) 0.970848 + 0.763483i 0.0417015 + 0.0327944i
\(543\) −0.848602 17.8144i −0.0364170 0.764487i
\(544\) 0.946390 + 3.90107i 0.0405762 + 0.167257i
\(545\) 0.843682 + 5.86793i 0.0361393 + 0.251355i
\(546\) −0.734679 1.98350i −0.0314413 0.0848859i
\(547\) −25.4624 16.3637i −1.08870 0.699662i −0.132145 0.991230i \(-0.542187\pi\)
−0.956550 + 0.291568i \(0.905823\pi\)
\(548\) −26.2835 5.06574i −1.12278 0.216398i
\(549\) 1.87416 7.72541i 0.0799874 0.329713i
\(550\) 1.65765 + 0.158287i 0.0706826 + 0.00674937i
\(551\) −27.2569 47.2103i −1.16118 2.01123i
\(552\) −2.97105 + 0.557002i −0.126456 + 0.0237076i
\(553\) 5.34411 + 32.2277i 0.227254 + 1.37046i
\(554\) −0.396564 0.868354i −0.0168484 0.0368928i
\(555\) −3.47965 3.31784i −0.147703 0.140834i
\(556\) −9.33687 26.9771i −0.395972 1.14408i
\(557\) −18.9164 + 9.75207i −0.801512 + 0.413208i −0.809763 0.586758i \(-0.800404\pi\)
0.00825024 + 0.999966i \(0.497374\pi\)
\(558\) 0.185320 0.535448i 0.00784523 0.0226673i
\(559\) 4.95893 + 34.4901i 0.209740 + 1.45878i
\(560\) 12.3466 5.25395i 0.521737 0.222020i
\(561\) 5.80568 3.73108i 0.245116 0.157526i
\(562\) −1.68859 + 0.676009i −0.0712288 + 0.0285157i
\(563\) −14.4317 20.2665i −0.608224 0.854131i 0.389537 0.921011i \(-0.372635\pi\)
−0.997761 + 0.0668798i \(0.978696\pi\)
\(564\) −1.72023 2.41573i −0.0724348 0.101720i
\(565\) 17.5501 7.02598i 0.738336 0.295585i
\(566\) 1.96307 1.26159i 0.0825140 0.0530285i
\(567\) 2.43449 1.03597i 0.102239 0.0435068i
\(568\) 0.625051 + 4.34732i 0.0262266 + 0.182410i
\(569\) −6.37123 + 18.4085i −0.267096 + 0.771723i 0.729086 + 0.684422i \(0.239945\pi\)
−0.996182 + 0.0873010i \(0.972176\pi\)
\(570\) 1.06446 0.548767i 0.0445853 0.0229853i
\(571\) 4.25526 + 12.2948i 0.178077 + 0.514520i 0.998348 0.0574554i \(-0.0182987\pi\)
−0.820271 + 0.571975i \(0.806177\pi\)
\(572\) −23.1793 22.1014i −0.969176 0.924108i
\(573\) −8.95233 19.6029i −0.373989 0.818922i
\(574\) 0.636719 + 3.83975i 0.0265761 + 0.160268i
\(575\) 9.01673 + 12.7992i 0.376024 + 0.533763i
\(576\) 3.70141 + 6.41104i 0.154226 + 0.267126i
\(577\) −14.6274 1.39675i −0.608946 0.0581473i −0.213972 0.976840i \(-0.568640\pi\)
−0.394974 + 0.918692i \(0.629246\pi\)
\(578\) 0.463464 1.91042i 0.0192776 0.0794632i
\(579\) −11.7821 2.27082i −0.489649 0.0943722i
\(580\) −20.8110 13.3744i −0.864131 0.555343i
\(581\) −2.67194 7.21376i −0.110851 0.299277i
\(582\) 0.168288 + 1.17047i 0.00697578 + 0.0485176i
\(583\) −3.54663 14.6194i −0.146886 0.605473i
\(584\) −0.373142 7.83321i −0.0154407 0.324141i
\(585\) 5.22071 + 4.10561i 0.215850 + 0.169746i
\(586\) −3.28229 + 0.313421i −0.135590 + 0.0129473i
\(587\) −10.3794 + 22.7277i −0.428403 + 0.938071i 0.565181 + 0.824967i \(0.308806\pi\)
−0.993583 + 0.113103i \(0.963921\pi\)
\(588\) −13.0430 4.58069i −0.537884 0.188904i
\(589\) 17.2331 11.0751i 0.710078 0.456340i
\(590\) −0.490693 2.02266i −0.0202015 0.0832717i
\(591\) −6.75343 2.70367i −0.277799 0.111214i
\(592\) −13.7964 + 2.65904i −0.567030 + 0.109286i
\(593\) 1.32891 27.8972i 0.0545717 1.14560i −0.791027 0.611781i \(-0.790453\pi\)
0.845599 0.533819i \(-0.179244\pi\)
\(594\) −0.334032 + 0.385493i −0.0137055 + 0.0158170i
\(595\) 7.45738 + 0.550393i 0.305723 + 0.0225639i
\(596\) −11.3098 24.7650i −0.463267 1.01441i
\(597\) −3.19559 5.53493i −0.130787 0.226529i
\(598\) −0.201865 + 3.82879i −0.00825488 + 0.156571i
\(599\) −7.82433 + 13.5521i −0.319694 + 0.553726i −0.980424 0.196898i \(-0.936913\pi\)
0.660730 + 0.750623i \(0.270247\pi\)
\(600\) −1.19356 + 1.67612i −0.0487269 + 0.0684273i
\(601\) −17.5689 + 5.15870i −0.716651 + 0.210428i −0.619675 0.784859i \(-0.712735\pi\)
−0.0969766 + 0.995287i \(0.530917\pi\)
\(602\) −2.47249 1.51477i −0.100771 0.0617375i
\(603\) −8.10372 5.20795i −0.330009 0.212084i
\(604\) 0.160473 0.463657i 0.00652957 0.0188660i
\(605\) −0.798299 0.319591i −0.0324555 0.0129932i
\(606\) 0.140053 0.133540i 0.00568927 0.00542470i
\(607\) −12.6838 6.53896i −0.514820 0.265408i 0.181180 0.983450i \(-0.442008\pi\)
−0.696000 + 0.718042i \(0.745039\pi\)
\(608\) 1.52657 10.6175i 0.0619107 0.430598i
\(609\) 6.45616 + 24.3155i 0.261617 + 0.985316i
\(610\) −0.689845 + 1.51055i −0.0279310 + 0.0611604i
\(611\) −7.02870 + 2.81387i −0.284351 + 0.113837i
\(612\) 0.201600 + 4.23211i 0.00814920 + 0.171073i
\(613\) −7.97647 + 7.60555i −0.322166 + 0.307185i −0.833852 0.551987i \(-0.813870\pi\)
0.511686 + 0.859173i \(0.329021\pi\)
\(614\) 1.76393 1.38717i 0.0711863 0.0559815i
\(615\) −8.00332 9.23633i −0.322725 0.372445i
\(616\) 5.32775 0.624737i 0.214661 0.0251714i
\(617\) 18.2538 21.0660i 0.734869 0.848084i −0.258142 0.966107i \(-0.583110\pi\)
0.993011 + 0.118023i \(0.0376556\pi\)
\(618\) 0.976109 + 0.930718i 0.0392648 + 0.0374390i
\(619\) −26.1521 2.49722i −1.05114 0.100372i −0.444843 0.895609i \(-0.646740\pi\)
−0.606299 + 0.795237i \(0.707346\pi\)
\(620\) 4.64801 8.05059i 0.186669 0.323320i
\(621\) −4.79577 0.0243355i −0.192448 0.000976551i
\(622\) −0.760351 −0.0304873
\(623\) 25.4644 17.1506i 1.02021 0.687125i
\(624\) 18.6230 5.46821i 0.745517 0.218903i
\(625\) 1.94449 + 0.374770i 0.0777796 + 0.0149908i
\(626\) −2.08792 + 1.07640i −0.0834500 + 0.0430215i
\(627\) −18.1080 + 3.49004i −0.723165 + 0.139379i
\(628\) 10.1533 7.98463i 0.405160 0.318622i
\(629\) −7.51291 2.20599i −0.299559 0.0879585i
\(630\) −0.540321 + 0.116255i −0.0215269 + 0.00463170i
\(631\) −0.157015 + 1.09206i −0.00625067 + 0.0434744i −0.992708 0.120543i \(-0.961536\pi\)
0.986457 + 0.164018i \(0.0524454\pi\)
\(632\) 7.74725 0.739773i 0.308169 0.0294266i
\(633\) −5.08581 7.14202i −0.202143 0.283870i
\(634\) −1.78993 1.40761i −0.0710870 0.0559035i
\(635\) 10.2931 + 5.30644i 0.408468 + 0.210580i
\(636\) 8.86159 + 2.60200i 0.351385 + 0.103176i
\(637\) −19.2148 + 29.6022i −0.761318 + 1.17288i
\(638\) −3.17626 3.66560i −0.125749 0.145122i
\(639\) −0.331558 + 6.96026i −0.0131162 + 0.275344i
\(640\) −2.11814 6.11995i −0.0837267 0.241912i
\(641\) −6.79338 + 28.0027i −0.268322 + 1.10604i 0.664955 + 0.746883i \(0.268451\pi\)
−0.933277 + 0.359156i \(0.883065\pi\)
\(642\) −0.867758 + 1.21860i −0.0342477 + 0.0480941i
\(643\) 16.5939 0.654401 0.327201 0.944955i \(-0.393895\pi\)
0.327201 + 0.944955i \(0.393895\pi\)
\(644\) 18.4175 + 16.9913i 0.725749 + 0.669553i
\(645\) 9.10474 0.358499
\(646\) 1.13133 1.58873i 0.0445115 0.0625077i
\(647\) −0.550711 + 2.27006i −0.0216507 + 0.0892454i −0.981612 0.190888i \(-0.938863\pi\)
0.959961 + 0.280133i \(0.0903786\pi\)
\(648\) −0.206151 0.595634i −0.00809838 0.0233987i
\(649\) −1.52499 + 32.0134i −0.0598610 + 1.25664i
\(650\) 1.70913 + 1.97244i 0.0670376 + 0.0773655i
\(651\) −9.01144 + 2.85810i −0.353186 + 0.112018i
\(652\) 11.7590 + 3.45276i 0.460519 + 0.135220i
\(653\) −15.2057 7.83906i −0.595044 0.306766i 0.134271 0.990945i \(-0.457131\pi\)
−0.729315 + 0.684178i \(0.760161\pi\)
\(654\) −0.560923 0.441114i −0.0219338 0.0172489i
\(655\) 12.5644 + 17.6443i 0.490934 + 0.689420i
\(656\) −35.5534 + 3.39494i −1.38813 + 0.132550i
\(657\) 1.77066 12.3152i 0.0690800 0.480462i
\(658\) 0.193196 0.599670i 0.00753157 0.0233776i
\(659\) −11.8268 3.47267i −0.460708 0.135276i 0.0431386 0.999069i \(-0.486264\pi\)
−0.503847 + 0.863793i \(0.668082\pi\)
\(660\) −6.57814 + 5.17311i −0.256054 + 0.201363i
\(661\) 44.1379 8.50688i 1.71676 0.330879i 0.766481 0.642267i \(-0.222006\pi\)
0.950283 + 0.311387i \(0.100794\pi\)
\(662\) 3.83302 1.97606i 0.148975 0.0768018i
\(663\) 10.6210 + 2.04704i 0.412487 + 0.0795004i
\(664\) −1.75841 + 0.516314i −0.0682394 + 0.0200369i
\(665\) −17.9534 8.77167i −0.696202 0.340151i
\(666\) 0.578734 0.0224255
\(667\) 6.71893 45.1052i 0.260158 1.74648i
\(668\) −9.90168 + 17.1502i −0.383107 + 0.663561i
\(669\) −15.5412 1.48400i −0.600857 0.0573749i
\(670\) 1.45635 + 1.38863i 0.0562638 + 0.0536474i
\(671\) 16.7456 19.3255i 0.646457 0.746052i
\(672\) −1.95905 + 4.54624i −0.0755719 + 0.175375i
\(673\) −5.46477 6.30668i −0.210651 0.243104i 0.640585 0.767887i \(-0.278692\pi\)
−0.851236 + 0.524783i \(0.824147\pi\)
\(674\) 2.34618 1.84506i 0.0903716 0.0710690i
\(675\) −2.36268 + 2.25281i −0.0909396 + 0.0867108i
\(676\) −1.16692 24.4967i −0.0448816 0.942181i
\(677\) 21.3685 8.55468i 0.821260 0.328783i 0.0773007 0.997008i \(-0.475370\pi\)
0.743959 + 0.668225i \(0.232946\pi\)
\(678\) −0.945286 + 2.06989i −0.0363035 + 0.0794936i
\(679\) 13.9829 13.9195i 0.536613 0.534181i
\(680\) 0.253521 1.76328i 0.00972210 0.0676187i
\(681\) −6.51897 3.36076i −0.249807 0.128785i
\(682\) 1.31910 1.25776i 0.0505108 0.0481619i
\(683\) −18.0632 7.23142i −0.691170 0.276703i −0.000633071 1.00000i \(-0.500202\pi\)
−0.690537 + 0.723297i \(0.742626\pi\)
\(684\) 3.70298 10.6991i 0.141587 0.409089i
\(685\) 15.0210 + 9.65342i 0.573923 + 0.368838i
\(686\) −0.875129 2.80337i −0.0334126 0.107033i
\(687\) 27.4681 8.06535i 1.04797 0.307712i
\(688\) 15.4336 21.6735i 0.588402 0.826295i
\(689\) 11.7890 20.4192i 0.449127 0.777910i
\(690\) 0.982750 + 0.194587i 0.0374126 + 0.00740779i
\(691\) −16.7534 29.0178i −0.637330 1.10389i −0.986016 0.166648i \(-0.946705\pi\)
0.348686 0.937239i \(-0.386628\pi\)
\(692\) −16.5806 36.3064i −0.630298 1.38016i
\(693\) 8.48754 + 0.626424i 0.322415 + 0.0237959i
\(694\) −2.08884 + 2.41065i −0.0792912 + 0.0915069i
\(695\) −0.906095 + 19.0213i −0.0343701 + 0.721518i
\(696\) 5.88512 1.13426i 0.223075 0.0429942i
\(697\) −18.4779 7.39742i −0.699899 0.280197i
\(698\) 0.616815 + 2.54255i 0.0233468 + 0.0962369i
\(699\) 18.5474 11.9197i 0.701527 0.450844i
\(700\) 17.0533 0.367185i 0.644556 0.0138783i
\(701\) 14.0351 30.7327i 0.530100 1.16076i −0.435372 0.900251i \(-0.643383\pi\)
0.965472 0.260507i \(-0.0838897\pi\)
\(702\) −0.795846 + 0.0759941i −0.0300373 + 0.00286821i
\(703\) 16.4469 + 12.9340i 0.620305 + 0.487814i
\(704\) 1.13306 + 23.7858i 0.0427037 + 0.896462i
\(705\) 0.466394 + 1.92250i 0.0175654 + 0.0724056i
\(706\) 0.428706 + 2.98171i 0.0161346 + 0.112218i
\(707\) −3.18284 0.542658i −0.119703 0.0204088i
\(708\) −16.5529 10.6379i −0.622096 0.399797i
\(709\) −29.1568 5.61952i −1.09501 0.211045i −0.390402 0.920645i \(-0.627664\pi\)
−0.704606 + 0.709599i \(0.748876\pi\)
\(710\) 0.343175 1.41459i 0.0128791 0.0530885i
\(711\) 12.2914 + 1.17368i 0.460962 + 0.0440165i
\(712\) −3.65702 6.33415i −0.137053 0.237382i
\(713\) 17.0504 + 1.71547i 0.638544 + 0.0642449i
\(714\) −0.695382 + 0.571504i −0.0260240 + 0.0213880i
\(715\) 8.87508 + 19.4337i 0.331909 + 0.726780i
\(716\) 33.9854 + 32.4050i 1.27009 + 1.21103i
\(717\) 2.36495 + 6.83306i 0.0883205 + 0.255185i
\(718\) 3.54465 1.82739i 0.132285 0.0681978i
\(719\) −0.213482 + 0.616815i −0.00796153 + 0.0230033i −0.948912 0.315542i \(-0.897814\pi\)
0.940950 + 0.338545i \(0.109935\pi\)
\(720\) −0.721751 5.01989i −0.0268981 0.187080i
\(721\) 2.72230 22.3378i 0.101384 0.831904i
\(722\) −1.84981 + 1.18880i −0.0688430 + 0.0442427i
\(723\) −9.99851 + 4.00280i −0.371849 + 0.148866i
\(724\) 20.4300 + 28.6899i 0.759275 + 1.06625i
\(725\) −18.0063 25.2863i −0.668738 0.939111i
\(726\) 0.0960923 0.0384695i 0.00356632 0.00142774i
\(727\) 26.2805 16.8895i 0.974692 0.626396i 0.0466652 0.998911i \(-0.485141\pi\)
0.928026 + 0.372514i \(0.121504\pi\)
\(728\) 6.71914 + 5.05374i 0.249028 + 0.187304i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −0.850065 + 2.45610i −0.0314623 + 0.0909044i
\(731\) 13.1795 6.79450i 0.487461 0.251304i
\(732\) 5.13467 + 14.8357i 0.189783 + 0.548342i
\(733\) 33.4903 + 31.9329i 1.23699 + 1.17947i 0.976856 + 0.213897i \(0.0686156\pi\)
0.260135 + 0.965572i \(0.416233\pi\)
\(734\) 1.04715 + 2.29294i 0.0386510 + 0.0846339i
\(735\) 6.94163 + 6.07040i 0.256046 + 0.223910i
\(736\) 6.52563 6.15926i 0.240538 0.227033i
\(737\) −15.4932 26.8350i −0.570698 0.988478i
\(738\) 1.46444 + 0.139838i 0.0539070 + 0.00514749i
\(739\) −4.86963 + 20.0729i −0.179132 + 0.738393i 0.809384 + 0.587280i \(0.199801\pi\)
−0.988516 + 0.151114i \(0.951714\pi\)
\(740\) 9.32334 + 1.79693i 0.342733 + 0.0660563i
\(741\) −24.3153 15.6265i −0.893244 0.574053i
\(742\) 0.681488 + 1.83989i 0.0250182 + 0.0675446i
\(743\) 4.14829 + 28.8520i 0.152186 + 1.05848i 0.912546 + 0.408975i \(0.134114\pi\)
−0.760360 + 0.649502i \(0.774977\pi\)
\(744\) 0.530975 + 2.18871i 0.0194665 + 0.0802420i
\(745\) 0.864137 + 18.1405i 0.0316595 + 0.664615i
\(746\) −1.80185 1.41699i −0.0659704 0.0518797i
\(747\) −2.89440 + 0.276382i −0.105901 + 0.0101123i
\(748\) −5.66166 + 12.3973i −0.207011 + 0.453290i
\(749\) 24.9546 0.537311i 0.911820 0.0196329i
\(750\) 1.45237 0.933380i 0.0530330 0.0340822i
\(751\) −4.20736 17.3430i −0.153529 0.632854i −0.995618 0.0935157i \(-0.970189\pi\)
0.842089 0.539339i \(-0.181326\pi\)
\(752\) 5.36704 + 2.14864i 0.195716 + 0.0783528i
\(753\) −7.17202 + 1.38229i −0.261363 + 0.0503736i
\(754\) 0.361718 7.59339i 0.0131730 0.276535i
\(755\) −0.214330 + 0.247350i −0.00780025 + 0.00900197i
\(756\) −2.93846 + 4.32040i −0.106871 + 0.157131i
\(757\) 8.19877 + 17.9528i 0.297989 + 0.652506i 0.998106 0.0615232i \(-0.0195958\pi\)
−0.700116 + 0.714029i \(0.746869\pi\)
\(758\) −1.48963 2.58012i −0.0541058 0.0937140i
\(759\) −13.6759 7.13847i −0.496402 0.259110i
\(760\) −2.38012 + 4.12249i −0.0863361 + 0.149539i
\(761\) −5.41529 + 7.60471i −0.196304 + 0.275671i −0.900982 0.433857i \(-0.857152\pi\)
0.704678 + 0.709528i \(0.251092\pi\)
\(762\) −1.33748 + 0.392720i −0.0484518 + 0.0142267i
\(763\) −0.310380 + 11.9022i −0.0112365 + 0.430888i
\(764\) 35.8027 + 23.0090i 1.29530 + 0.832437i
\(765\) 0.924389 2.67085i 0.0334214 0.0965647i
\(766\) 0.633319 + 0.253543i 0.0228828 + 0.00916087i
\(767\) −36.3551 + 34.6645i −1.31271 + 1.25166i
\(768\) −12.4669 6.42714i −0.449861 0.231919i
\(769\) 1.52559 10.6107i 0.0550142 0.382632i −0.943649 0.330947i \(-0.892632\pi\)
0.998663 0.0516850i \(-0.0164592\pi\)
\(770\) −1.71621 0.464037i −0.0618478 0.0167227i
\(771\) 11.0241 24.1395i 0.397024 0.869362i
\(772\) 21.9988 8.80701i 0.791756 0.316971i