Properties

Label 690.2.m.g.331.1
Level $690$
Weight $2$
Character 690.331
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 331.1
Character \(\chi\) \(=\) 690.331
Dual form 690.2.m.g.271.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.142315 - 0.989821i) q^{5} +(0.841254 + 0.540641i) q^{6} +(-1.37681 + 3.01480i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.142315 - 0.989821i) q^{5} +(0.841254 + 0.540641i) q^{6} +(-1.37681 + 3.01480i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(0.415415 + 0.909632i) q^{10} +(4.09562 + 1.20258i) q^{11} +(-0.959493 - 0.281733i) q^{12} +(-1.47014 - 3.21916i) q^{13} +(0.471675 - 3.28057i) q^{14} +(-0.654861 + 0.755750i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-1.63053 - 1.04787i) q^{17} +(-0.142315 - 0.989821i) q^{18} +(-5.63886 + 3.62388i) q^{19} +(-0.654861 - 0.755750i) q^{20} +(3.18005 - 0.933748i) q^{21} -4.26852 q^{22} +(-4.79377 - 0.140475i) q^{23} +1.00000 q^{24} +(-0.959493 + 0.281733i) q^{25} +(2.31753 + 2.67458i) q^{26} +(0.841254 - 0.540641i) q^{27} +(0.471675 + 3.28057i) q^{28} +(5.55566 + 3.57041i) q^{29} +(0.415415 - 0.909632i) q^{30} +(-3.67482 + 4.24096i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-1.77321 - 3.88279i) q^{33} +(1.85970 + 0.546057i) q^{34} +(3.18005 + 0.933748i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-1.32433 + 9.21089i) q^{37} +(4.38949 - 5.06574i) q^{38} +(-1.47014 + 3.21916i) q^{39} +(0.841254 + 0.540641i) q^{40} +(0.502543 + 3.49527i) q^{41} +(-2.78817 + 1.79185i) q^{42} +(2.71793 + 3.13666i) q^{43} +(4.09562 - 1.20258i) q^{44} +1.00000 q^{45} +(4.63917 - 1.21578i) q^{46} +11.1457 q^{47} +(-0.959493 + 0.281733i) q^{48} +(-2.60938 - 3.01138i) q^{49} +(0.841254 - 0.540641i) q^{50} +(0.275836 + 1.91848i) q^{51} +(-2.97717 - 1.91331i) q^{52} +(-1.98060 + 4.33692i) q^{53} +(-0.654861 + 0.755750i) q^{54} +(0.607474 - 4.22508i) q^{55} +(-1.37681 - 3.01480i) q^{56} +(6.43142 + 1.88843i) q^{57} +(-6.33652 - 1.86057i) q^{58} +(2.90537 + 6.36187i) q^{59} +(-0.142315 + 0.989821i) q^{60} +(1.09537 - 1.26412i) q^{61} +(2.33114 - 5.10449i) q^{62} +(-2.78817 - 1.79185i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-2.97717 + 1.91331i) q^{65} +(2.79529 + 3.22594i) q^{66} +(-15.0956 + 4.43247i) q^{67} -1.93821 q^{68} +(3.03309 + 3.71488i) q^{69} -3.31431 q^{70} +(4.06919 - 1.19482i) q^{71} +(-0.654861 - 0.755750i) q^{72} +(-8.31387 + 5.34300i) q^{73} +(-1.32433 - 9.21089i) q^{74} +(0.841254 + 0.540641i) q^{75} +(-2.78450 + 6.09720i) q^{76} +(-9.26445 + 10.6917i) q^{77} +(0.503648 - 3.50295i) q^{78} +(2.80003 + 6.13120i) q^{79} +(-0.959493 - 0.281733i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-1.46692 - 3.21210i) q^{82} +(-1.30743 + 9.09336i) q^{83} +(2.17041 - 2.50479i) q^{84} +(-0.805161 + 1.76306i) q^{85} +(-3.49153 - 2.24387i) q^{86} +(-0.939852 - 6.53681i) q^{87} +(-3.59091 + 2.30774i) q^{88} +(-9.44270 - 10.8975i) q^{89} +(-0.959493 + 0.281733i) q^{90} +11.7292 q^{91} +(-4.10873 + 2.47353i) q^{92} +5.61160 q^{93} +(-10.6942 + 3.14010i) q^{94} +(4.38949 + 5.06574i) q^{95} +(0.841254 - 0.540641i) q^{96} +(-2.63607 - 18.3343i) q^{97} +(3.35209 + 2.15425i) q^{98} +(-1.77321 + 3.88279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} - 3q^{10} + 8q^{11} - 3q^{12} - 5q^{13} - 8q^{14} - 3q^{15} - 3q^{16} + 4q^{17} - 3q^{18} + 6q^{19} - 3q^{20} + 3q^{21} + 8q^{22} + q^{23} + 30q^{24} - 3q^{25} - 5q^{26} - 3q^{27} - 8q^{28} - 10q^{29} - 3q^{30} - 10q^{31} - 3q^{32} - 14q^{33} - 7q^{34} + 3q^{35} - 3q^{36} - 12q^{37} - 5q^{38} - 5q^{39} - 3q^{40} + 5q^{41} + 3q^{42} + 2q^{43} + 8q^{44} + 30q^{45} - 21q^{46} + 96q^{47} - 3q^{48} - 43q^{49} - 3q^{50} + 15q^{51} - 16q^{52} + 12q^{53} - 3q^{54} + 8q^{55} - 8q^{56} + 17q^{57} + q^{58} - 9q^{59} - 3q^{60} + q^{61} - 32q^{62} + 3q^{63} - 3q^{64} - 16q^{65} - 3q^{66} - 28q^{67} + 4q^{68} + 23q^{69} + 14q^{70} + 3q^{71} - 3q^{72} - 27q^{73} - 12q^{74} - 3q^{75} - 16q^{76} + 47q^{77} + 6q^{78} + 2q^{79} - 3q^{80} - 3q^{81} + 27q^{82} + 11q^{83} + 3q^{84} - 7q^{85} + 2q^{86} - 32q^{87} - 3q^{88} + 25q^{89} - 3q^{90} - 90q^{91} - 10q^{92} + 56q^{93} - 25q^{94} - 5q^{95} - 3q^{96} - 7q^{97} - 32q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) −0.654861 0.755750i −0.378084 0.436332i
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) −0.142315 0.989821i −0.0636451 0.442662i
\(6\) 0.841254 + 0.540641i 0.343440 + 0.220716i
\(7\) −1.37681 + 3.01480i −0.520386 + 1.13949i 0.448907 + 0.893579i \(0.351814\pi\)
−0.969293 + 0.245909i \(0.920914\pi\)
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) 0.415415 + 0.909632i 0.131366 + 0.287651i
\(11\) 4.09562 + 1.20258i 1.23488 + 0.362592i 0.833088 0.553141i \(-0.186571\pi\)
0.401788 + 0.915733i \(0.368389\pi\)
\(12\) −0.959493 0.281733i −0.276982 0.0813292i
\(13\) −1.47014 3.21916i −0.407744 0.892835i −0.996426 0.0844704i \(-0.973080\pi\)
0.588682 0.808365i \(-0.299647\pi\)
\(14\) 0.471675 3.28057i 0.126060 0.876770i
\(15\) −0.654861 + 0.755750i −0.169084 + 0.195134i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −1.63053 1.04787i −0.395460 0.254147i 0.327765 0.944759i \(-0.393705\pi\)
−0.723225 + 0.690612i \(0.757341\pi\)
\(18\) −0.142315 0.989821i −0.0335439 0.233303i
\(19\) −5.63886 + 3.62388i −1.29364 + 0.831375i −0.992505 0.122205i \(-0.961003\pi\)
−0.301139 + 0.953580i \(0.597367\pi\)
\(20\) −0.654861 0.755750i −0.146431 0.168991i
\(21\) 3.18005 0.933748i 0.693945 0.203761i
\(22\) −4.26852 −0.910053
\(23\) −4.79377 0.140475i −0.999571 0.0292910i
\(24\) 1.00000 0.204124
\(25\) −0.959493 + 0.281733i −0.191899 + 0.0563465i
\(26\) 2.31753 + 2.67458i 0.454506 + 0.524528i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) 0.471675 + 3.28057i 0.0891382 + 0.619970i
\(29\) 5.55566 + 3.57041i 1.03166 + 0.663008i 0.942911 0.333046i \(-0.108076\pi\)
0.0887502 + 0.996054i \(0.471713\pi\)
\(30\) 0.415415 0.909632i 0.0758441 0.166075i
\(31\) −3.67482 + 4.24096i −0.660017 + 0.761700i −0.982780 0.184780i \(-0.940843\pi\)
0.322763 + 0.946480i \(0.395388\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) −1.77321 3.88279i −0.308676 0.675906i
\(34\) 1.85970 + 0.546057i 0.318936 + 0.0936479i
\(35\) 3.18005 + 0.933748i 0.537527 + 0.157832i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) −1.32433 + 9.21089i −0.217718 + 1.51426i 0.528715 + 0.848800i \(0.322674\pi\)
−0.746432 + 0.665461i \(0.768235\pi\)
\(38\) 4.38949 5.06574i 0.712069 0.821771i
\(39\) −1.47014 + 3.21916i −0.235411 + 0.515479i
\(40\) 0.841254 + 0.540641i 0.133014 + 0.0854828i
\(41\) 0.502543 + 3.49527i 0.0784841 + 0.545869i 0.990690 + 0.136137i \(0.0434687\pi\)
−0.912206 + 0.409732i \(0.865622\pi\)
\(42\) −2.78817 + 1.79185i −0.430224 + 0.276488i
\(43\) 2.71793 + 3.13666i 0.414480 + 0.478336i 0.924148 0.382036i \(-0.124777\pi\)
−0.509667 + 0.860372i \(0.670231\pi\)
\(44\) 4.09562 1.20258i 0.617438 0.181296i
\(45\) 1.00000 0.149071
\(46\) 4.63917 1.21578i 0.684008 0.179257i
\(47\) 11.1457 1.62577 0.812883 0.582427i \(-0.197897\pi\)
0.812883 + 0.582427i \(0.197897\pi\)
\(48\) −0.959493 + 0.281733i −0.138491 + 0.0406646i
\(49\) −2.60938 3.01138i −0.372768 0.430198i
\(50\) 0.841254 0.540641i 0.118971 0.0764582i
\(51\) 0.275836 + 1.91848i 0.0386248 + 0.268641i
\(52\) −2.97717 1.91331i −0.412860 0.265329i
\(53\) −1.98060 + 4.33692i −0.272057 + 0.595722i −0.995510 0.0946515i \(-0.969826\pi\)
0.723454 + 0.690373i \(0.242554\pi\)
\(54\) −0.654861 + 0.755750i −0.0891153 + 0.102844i
\(55\) 0.607474 4.22508i 0.0819118 0.569709i
\(56\) −1.37681 3.01480i −0.183984 0.402870i
\(57\) 6.43142 + 1.88843i 0.851862 + 0.250129i
\(58\) −6.33652 1.86057i −0.832026 0.244305i
\(59\) 2.90537 + 6.36187i 0.378247 + 0.828245i 0.999020 + 0.0442548i \(0.0140914\pi\)
−0.620774 + 0.783990i \(0.713181\pi\)
\(60\) −0.142315 + 0.989821i −0.0183728 + 0.127785i
\(61\) 1.09537 1.26412i 0.140247 0.161854i −0.681281 0.732022i \(-0.738577\pi\)
0.821528 + 0.570168i \(0.193122\pi\)
\(62\) 2.33114 5.10449i 0.296055 0.648271i
\(63\) −2.78817 1.79185i −0.351277 0.225752i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) −2.97717 + 1.91331i −0.369273 + 0.237317i
\(66\) 2.79529 + 3.22594i 0.344076 + 0.397085i
\(67\) −15.0956 + 4.43247i −1.84422 + 0.541512i −0.844235 + 0.535973i \(0.819945\pi\)
−0.999985 + 0.00553908i \(0.998237\pi\)
\(68\) −1.93821 −0.235042
\(69\) 3.03309 + 3.71488i 0.365141 + 0.447219i
\(70\) −3.31431 −0.396135
\(71\) 4.06919 1.19482i 0.482924 0.141799i −0.0312032 0.999513i \(-0.509934\pi\)
0.514128 + 0.857714i \(0.328116\pi\)
\(72\) −0.654861 0.755750i −0.0771761 0.0890659i
\(73\) −8.31387 + 5.34300i −0.973065 + 0.625351i −0.927584 0.373614i \(-0.878118\pi\)
−0.0454808 + 0.998965i \(0.514482\pi\)
\(74\) −1.32433 9.21089i −0.153950 1.07074i
\(75\) 0.841254 + 0.540641i 0.0971396 + 0.0624278i
\(76\) −2.78450 + 6.09720i −0.319404 + 0.699397i
\(77\) −9.26445 + 10.6917i −1.05578 + 1.21844i
\(78\) 0.503648 3.50295i 0.0570270 0.396631i
\(79\) 2.80003 + 6.13120i 0.315028 + 0.689814i 0.999220 0.0394874i \(-0.0125725\pi\)
−0.684193 + 0.729301i \(0.739845\pi\)
\(80\) −0.959493 0.281733i −0.107275 0.0314987i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) −1.46692 3.21210i −0.161994 0.354717i
\(83\) −1.30743 + 9.09336i −0.143509 + 0.998125i 0.783046 + 0.621964i \(0.213665\pi\)
−0.926554 + 0.376161i \(0.877244\pi\)
\(84\) 2.17041 2.50479i 0.236811 0.273295i
\(85\) −0.805161 + 1.76306i −0.0873320 + 0.191230i
\(86\) −3.49153 2.24387i −0.376502 0.241963i
\(87\) −0.939852 6.53681i −0.100763 0.700820i
\(88\) −3.59091 + 2.30774i −0.382792 + 0.246006i
\(89\) −9.44270 10.8975i −1.00092 1.15513i −0.987881 0.155213i \(-0.950393\pi\)
−0.0130434 0.999915i \(-0.504152\pi\)
\(90\) −0.959493 + 0.281733i −0.101139 + 0.0296972i
\(91\) 11.7292 1.22956
\(92\) −4.10873 + 2.47353i −0.428364 + 0.257884i
\(93\) 5.61160 0.581896
\(94\) −10.6942 + 3.14010i −1.10302 + 0.323877i
\(95\) 4.38949 + 5.06574i 0.450352 + 0.519734i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) −2.63607 18.3343i −0.267653 1.86156i −0.470562 0.882367i \(-0.655949\pi\)
0.202909 0.979198i \(-0.434960\pi\)
\(98\) 3.35209 + 2.15425i 0.338612 + 0.217613i
\(99\) −1.77321 + 3.88279i −0.178214 + 0.390235i
\(100\) −0.654861 + 0.755750i −0.0654861 + 0.0755750i
\(101\) 0.122363 0.851052i 0.0121756 0.0846829i −0.982828 0.184526i \(-0.940925\pi\)
0.995003 + 0.0998431i \(0.0318341\pi\)
\(102\) −0.805161 1.76306i −0.0797228 0.174569i
\(103\) 7.37177 + 2.16455i 0.726362 + 0.213279i 0.623952 0.781463i \(-0.285526\pi\)
0.102411 + 0.994742i \(0.467344\pi\)
\(104\) 3.39562 + 0.997044i 0.332968 + 0.0977682i
\(105\) −1.37681 3.01480i −0.134363 0.294214i
\(106\) 0.678525 4.71924i 0.0659042 0.458373i
\(107\) 0.147621 0.170364i 0.0142710 0.0164697i −0.748569 0.663057i \(-0.769259\pi\)
0.762840 + 0.646587i \(0.223804\pi\)
\(108\) 0.415415 0.909632i 0.0399733 0.0875294i
\(109\) −12.6043 8.10026i −1.20727 0.775865i −0.227070 0.973879i \(-0.572914\pi\)
−0.980199 + 0.198014i \(0.936551\pi\)
\(110\) 0.607474 + 4.22508i 0.0579204 + 0.402845i
\(111\) 7.82837 5.03099i 0.743036 0.477521i
\(112\) 2.17041 + 2.50479i 0.205084 + 0.236680i
\(113\) 2.74248 0.805266i 0.257991 0.0757531i −0.150179 0.988659i \(-0.547985\pi\)
0.408170 + 0.912906i \(0.366167\pi\)
\(114\) −6.70293 −0.627787
\(115\) 0.543180 + 4.76497i 0.0506518 + 0.444336i
\(116\) 6.60403 0.613169
\(117\) 3.39562 0.997044i 0.313925 0.0921767i
\(118\) −4.58003 5.28563i −0.421626 0.486582i
\(119\) 5.40406 3.47298i 0.495389 0.318367i
\(120\) −0.142315 0.989821i −0.0129915 0.0903579i
\(121\) 6.07410 + 3.90359i 0.552191 + 0.354872i
\(122\) −0.694852 + 1.52151i −0.0629090 + 0.137751i
\(123\) 2.31245 2.66871i 0.208507 0.240629i
\(124\) −0.798614 + 5.55448i −0.0717176 + 0.498807i
\(125\) 0.415415 + 0.909632i 0.0371558 + 0.0813600i
\(126\) 3.18005 + 0.933748i 0.283302 + 0.0831849i
\(127\) 14.8763 + 4.36808i 1.32006 + 0.387604i 0.864514 0.502608i \(-0.167626\pi\)
0.455545 + 0.890213i \(0.349444\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) 0.590663 4.10815i 0.0520049 0.361702i
\(130\) 2.31753 2.67458i 0.203261 0.234576i
\(131\) 4.14112 9.06779i 0.361811 0.792256i −0.637943 0.770084i \(-0.720214\pi\)
0.999754 0.0221725i \(-0.00705831\pi\)
\(132\) −3.59091 2.30774i −0.312549 0.200863i
\(133\) −3.16161 21.9895i −0.274146 1.90673i
\(134\) 13.2353 8.50584i 1.14336 0.734793i
\(135\) −0.654861 0.755750i −0.0563614 0.0650446i
\(136\) 1.85970 0.546057i 0.159468 0.0468240i
\(137\) −12.0986 −1.03365 −0.516826 0.856090i \(-0.672887\pi\)
−0.516826 + 0.856090i \(0.672887\pi\)
\(138\) −3.95683 2.70988i −0.336828 0.230681i
\(139\) 3.44900 0.292541 0.146270 0.989245i \(-0.453273\pi\)
0.146270 + 0.989245i \(0.453273\pi\)
\(140\) 3.18005 0.933748i 0.268764 0.0789161i
\(141\) −7.29887 8.42335i −0.614676 0.709374i
\(142\) −3.56774 + 2.29285i −0.299398 + 0.192412i
\(143\) −2.14984 14.9524i −0.179778 1.25039i
\(144\) 0.841254 + 0.540641i 0.0701045 + 0.0450534i
\(145\) 2.74341 6.00724i 0.227828 0.498874i
\(146\) 6.47180 7.46886i 0.535610 0.618127i
\(147\) −0.567072 + 3.94407i −0.0467713 + 0.325302i
\(148\) 3.86569 + 8.46468i 0.317758 + 0.695792i
\(149\) −20.9690 6.15706i −1.71785 0.504406i −0.733359 0.679841i \(-0.762049\pi\)
−0.984491 + 0.175435i \(0.943867\pi\)
\(150\) −0.959493 0.281733i −0.0783423 0.0230034i
\(151\) 7.33850 + 16.0691i 0.597199 + 1.30768i 0.930993 + 0.365037i \(0.118944\pi\)
−0.333794 + 0.942646i \(0.608329\pi\)
\(152\) 0.953927 6.63471i 0.0773737 0.538146i
\(153\) 1.26926 1.46480i 0.102613 0.118422i
\(154\) 5.87696 12.8687i 0.473579 1.03699i
\(155\) 4.72078 + 3.03386i 0.379182 + 0.243685i
\(156\) 0.503648 + 3.50295i 0.0403241 + 0.280461i
\(157\) 4.45741 2.86460i 0.355740 0.228620i −0.350548 0.936545i \(-0.614005\pi\)
0.706288 + 0.707924i \(0.250368\pi\)
\(158\) −4.41396 5.09399i −0.351156 0.405256i
\(159\) 4.57464 1.34324i 0.362793 0.106526i
\(160\) 1.00000 0.0790569
\(161\) 7.02363 14.2589i 0.553540 1.12376i
\(162\) 1.00000 0.0785674
\(163\) −14.4322 + 4.23769i −1.13042 + 0.331921i −0.792873 0.609387i \(-0.791416\pi\)
−0.337548 + 0.941308i \(0.609597\pi\)
\(164\) 2.31245 + 2.66871i 0.180572 + 0.208391i
\(165\) −3.59091 + 2.30774i −0.279552 + 0.179657i
\(166\) −1.30743 9.09336i −0.101476 0.705781i
\(167\) −7.52328 4.83492i −0.582169 0.374137i 0.216161 0.976358i \(-0.430646\pi\)
−0.798330 + 0.602221i \(0.794283\pi\)
\(168\) −1.37681 + 3.01480i −0.106223 + 0.232597i
\(169\) 0.311497 0.359487i 0.0239613 0.0276528i
\(170\) 0.275836 1.91848i 0.0211556 0.147141i
\(171\) −2.78450 6.09720i −0.212936 0.466265i
\(172\) 3.98227 + 1.16930i 0.303646 + 0.0891584i
\(173\) 15.5942 + 4.57887i 1.18560 + 0.348125i 0.814332 0.580399i \(-0.197103\pi\)
0.371273 + 0.928524i \(0.378922\pi\)
\(174\) 2.74341 + 6.00724i 0.207978 + 0.455408i
\(175\) 0.471675 3.28057i 0.0356553 0.247988i
\(176\) 2.79529 3.22594i 0.210703 0.243164i
\(177\) 2.90537 6.36187i 0.218381 0.478187i
\(178\) 12.1304 + 7.79572i 0.909210 + 0.584314i
\(179\) −1.41262 9.82497i −0.105584 0.734352i −0.971992 0.235015i \(-0.924486\pi\)
0.866408 0.499337i \(-0.166423\pi\)
\(180\) 0.841254 0.540641i 0.0627033 0.0402970i
\(181\) 12.8709 + 14.8538i 0.956687 + 1.10408i 0.994494 + 0.104790i \(0.0334171\pi\)
−0.0378076 + 0.999285i \(0.512037\pi\)
\(182\) −11.2541 + 3.30451i −0.834211 + 0.244947i
\(183\) −1.67267 −0.123647
\(184\) 3.24542 3.53090i 0.239255 0.260301i
\(185\) 9.30561 0.684162
\(186\) −5.38429 + 1.58097i −0.394795 + 0.115922i
\(187\) −5.41785 6.25254i −0.396193 0.457231i
\(188\) 9.37635 6.02582i 0.683841 0.439478i
\(189\) 0.471675 + 3.28057i 0.0343093 + 0.238627i
\(190\) −5.63886 3.62388i −0.409086 0.262904i
\(191\) 2.28035 4.99327i 0.165000 0.361300i −0.809013 0.587791i \(-0.799998\pi\)
0.974013 + 0.226490i \(0.0727252\pi\)
\(192\) −0.654861 + 0.755750i −0.0472605 + 0.0545415i
\(193\) −2.21096 + 15.3775i −0.159148 + 1.10690i 0.741060 + 0.671439i \(0.234323\pi\)
−0.900208 + 0.435460i \(0.856586\pi\)
\(194\) 7.69466 + 16.8489i 0.552444 + 1.20968i
\(195\) 3.39562 + 0.997044i 0.243165 + 0.0713998i
\(196\) −3.82323 1.12260i −0.273088 0.0801858i
\(197\) −2.49780 5.46942i −0.177961 0.389680i 0.799539 0.600614i \(-0.205077\pi\)
−0.977500 + 0.210933i \(0.932350\pi\)
\(198\) 0.607474 4.22508i 0.0431713 0.300263i
\(199\) −0.193573 + 0.223396i −0.0137221 + 0.0158361i −0.762569 0.646907i \(-0.776062\pi\)
0.748847 + 0.662743i \(0.230608\pi\)
\(200\) 0.415415 0.909632i 0.0293743 0.0643207i
\(201\) 13.2353 + 8.50584i 0.933549 + 0.599956i
\(202\) 0.122363 + 0.851052i 0.00860942 + 0.0598798i
\(203\) −18.4132 + 11.8334i −1.29235 + 0.830544i
\(204\) 1.26926 + 1.46480i 0.0888658 + 0.102557i
\(205\) 3.38817 0.994856i 0.236640 0.0694838i
\(206\) −7.68299 −0.535299
\(207\) 0.821270 4.72499i 0.0570822 0.328409i
\(208\) −3.53897 −0.245384
\(209\) −27.4527 + 8.06083i −1.89894 + 0.557579i
\(210\) 2.17041 + 2.50479i 0.149772 + 0.172847i
\(211\) 1.24580 0.800630i 0.0857647 0.0551176i −0.497056 0.867719i \(-0.665586\pi\)
0.582820 + 0.812601i \(0.301949\pi\)
\(212\) 0.678525 + 4.71924i 0.0466013 + 0.324119i
\(213\) −3.56774 2.29285i −0.244458 0.157103i
\(214\) −0.0936442 + 0.205052i −0.00640139 + 0.0140171i
\(215\) 2.71793 3.13666i 0.185361 0.213918i
\(216\) −0.142315 + 0.989821i −0.00968330 + 0.0673488i
\(217\) −7.72612 16.9179i −0.524483 1.14846i
\(218\) 14.3758 + 4.22112i 0.973652 + 0.285890i
\(219\) 9.48240 + 2.78428i 0.640761 + 0.188144i
\(220\) −1.77321 3.88279i −0.119550 0.261777i
\(221\) −0.976176 + 6.78945i −0.0656647 + 0.456708i
\(222\) −6.09388 + 7.03271i −0.408994 + 0.472004i
\(223\) 7.09048 15.5260i 0.474813 1.03970i −0.509044 0.860741i \(-0.670001\pi\)
0.983857 0.178956i \(-0.0572719\pi\)
\(224\) −2.78817 1.79185i −0.186293 0.119723i
\(225\) −0.142315 0.989821i −0.00948766 0.0659881i
\(226\) −2.40452 + 1.54529i −0.159947 + 0.102791i
\(227\) −9.09106 10.4916i −0.603395 0.696355i 0.369071 0.929401i \(-0.379676\pi\)
−0.972466 + 0.233046i \(0.925131\pi\)
\(228\) 6.43142 1.88843i 0.425931 0.125065i
\(229\) −17.2511 −1.13999 −0.569993 0.821650i \(-0.693054\pi\)
−0.569993 + 0.821650i \(0.693054\pi\)
\(230\) −1.86363 4.41893i −0.122884 0.291375i
\(231\) 14.1472 0.930818
\(232\) −6.33652 + 1.86057i −0.416013 + 0.122152i
\(233\) −2.94776 3.40189i −0.193114 0.222865i 0.650932 0.759136i \(-0.274378\pi\)
−0.844046 + 0.536270i \(0.819833\pi\)
\(234\) −2.97717 + 1.91331i −0.194624 + 0.125077i
\(235\) −1.58620 11.0322i −0.103472 0.719664i
\(236\) 5.88364 + 3.78118i 0.382992 + 0.246134i
\(237\) 2.80003 6.13120i 0.181881 0.398264i
\(238\) −4.20671 + 4.85480i −0.272680 + 0.314690i
\(239\) −0.438586 + 3.05044i −0.0283698 + 0.197316i −0.999077 0.0429480i \(-0.986325\pi\)
0.970708 + 0.240264i \(0.0772341\pi\)
\(240\) 0.415415 + 0.909632i 0.0268149 + 0.0587165i
\(241\) 19.1215 + 5.61459i 1.23173 + 0.361668i 0.831901 0.554924i \(-0.187253\pi\)
0.399825 + 0.916591i \(0.369071\pi\)
\(242\) −6.92783 2.03419i −0.445338 0.130763i
\(243\) 0.415415 + 0.909632i 0.0266489 + 0.0583529i
\(244\) 0.238046 1.65564i 0.0152393 0.105992i
\(245\) −2.60938 + 3.01138i −0.166707 + 0.192390i
\(246\) −1.46692 + 3.21210i −0.0935272 + 0.204796i
\(247\) 19.9558 + 12.8248i 1.26976 + 0.816023i
\(248\) −0.798614 5.55448i −0.0507120 0.352710i
\(249\) 7.72848 4.96679i 0.489773 0.314758i
\(250\) −0.654861 0.755750i −0.0414170 0.0477978i
\(251\) −6.19845 + 1.82003i −0.391243 + 0.114879i −0.471436 0.881900i \(-0.656264\pi\)
0.0801937 + 0.996779i \(0.474446\pi\)
\(252\) −3.31431 −0.208782
\(253\) −19.4645 6.34024i −1.22373 0.398607i
\(254\) −15.5043 −0.972829
\(255\) 1.85970 0.546057i 0.116459 0.0341954i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 16.1965 10.4088i 1.01031 0.649286i 0.0728353 0.997344i \(-0.476795\pi\)
0.937473 + 0.348058i \(0.113159\pi\)
\(258\) 0.590663 + 4.10815i 0.0367731 + 0.255762i
\(259\) −25.9456 16.6742i −1.61218 1.03609i
\(260\) −1.47014 + 3.21916i −0.0911744 + 0.199644i
\(261\) −4.32472 + 4.99099i −0.267693 + 0.308935i
\(262\) −1.41868 + 9.86717i −0.0876466 + 0.609596i
\(263\) 9.26861 + 20.2954i 0.571527 + 1.25147i 0.945981 + 0.324223i \(0.105103\pi\)
−0.374454 + 0.927246i \(0.622170\pi\)
\(264\) 4.09562 + 1.20258i 0.252068 + 0.0740138i
\(265\) 4.57464 + 1.34324i 0.281018 + 0.0825144i
\(266\) 9.22868 + 20.2080i 0.565847 + 1.23903i
\(267\) −2.05210 + 14.2726i −0.125586 + 0.873471i
\(268\) −10.3028 + 11.8901i −0.629347 + 0.726305i
\(269\) −4.93070 + 10.7967i −0.300630 + 0.658288i −0.998309 0.0581223i \(-0.981489\pi\)
0.697680 + 0.716410i \(0.254216\pi\)
\(270\) 0.841254 + 0.540641i 0.0511971 + 0.0329024i
\(271\) 0.126793 + 0.881862i 0.00770210 + 0.0535693i 0.993310 0.115478i \(-0.0368400\pi\)
−0.985608 + 0.169047i \(0.945931\pi\)
\(272\) −1.63053 + 1.04787i −0.0988651 + 0.0635367i
\(273\) −7.68102 8.86437i −0.464877 0.536496i
\(274\) 11.6085 3.40857i 0.701296 0.205919i
\(275\) −4.26852 −0.257402
\(276\) 4.56002 + 1.48535i 0.274481 + 0.0894074i
\(277\) 11.0736 0.665351 0.332676 0.943041i \(-0.392049\pi\)
0.332676 + 0.943041i \(0.392049\pi\)
\(278\) −3.30929 + 0.971696i −0.198478 + 0.0582785i
\(279\) −3.67482 4.24096i −0.220006 0.253900i
\(280\) −2.78817 + 1.79185i −0.166625 + 0.107084i
\(281\) −1.93387 13.4503i −0.115365 0.802380i −0.962554 0.271089i \(-0.912616\pi\)
0.847189 0.531291i \(-0.178293\pi\)
\(282\) 9.37635 + 6.02582i 0.558354 + 0.358832i
\(283\) 11.1431 24.4000i 0.662389 1.45043i −0.217891 0.975973i \(-0.569918\pi\)
0.880279 0.474456i \(-0.157355\pi\)
\(284\) 2.77725 3.20512i 0.164800 0.190189i
\(285\) 0.953927 6.63471i 0.0565057 0.393006i
\(286\) 6.27534 + 13.7411i 0.371069 + 0.812527i
\(287\) −11.2294 3.29726i −0.662853 0.194631i
\(288\) −0.959493 0.281733i −0.0565387 0.0166013i
\(289\) −5.50148 12.0466i −0.323617 0.708622i
\(290\) −0.939852 + 6.53681i −0.0551900 + 0.383855i
\(291\) −12.1299 + 13.9986i −0.711065 + 0.820613i
\(292\) −4.10543 + 8.98964i −0.240252 + 0.526079i
\(293\) 25.1311 + 16.1508i 1.46818 + 0.943540i 0.998144 + 0.0608913i \(0.0193943\pi\)
0.470033 + 0.882649i \(0.344242\pi\)
\(294\) −0.567072 3.94407i −0.0330723 0.230023i
\(295\) 5.88364 3.78118i 0.342559 0.220149i
\(296\) −6.09388 7.03271i −0.354199 0.408768i
\(297\) 4.09562 1.20258i 0.237652 0.0697809i
\(298\) 21.8543 1.26598
\(299\) 6.59532 + 15.6385i 0.381417 + 0.904395i
\(300\) 1.00000 0.0577350
\(301\) −13.1985 + 3.87542i −0.760748 + 0.223376i
\(302\) −11.5684 13.3507i −0.665688 0.768245i
\(303\) −0.723313 + 0.464845i −0.0415533 + 0.0267047i
\(304\) 0.953927 + 6.63471i 0.0547114 + 0.380526i
\(305\) −1.40714 0.904314i −0.0805726 0.0517809i
\(306\) −0.805161 + 1.76306i −0.0460280 + 0.100787i
\(307\) 9.90948 11.4361i 0.565564 0.652695i −0.398874 0.917006i \(-0.630599\pi\)
0.964438 + 0.264310i \(0.0851443\pi\)
\(308\) −2.01336 + 14.0032i −0.114722 + 0.797907i
\(309\) −3.19163 6.98869i −0.181565 0.397573i
\(310\) −5.38429 1.58097i −0.305807 0.0897931i
\(311\) −30.2337 8.87742i −1.71440 0.503392i −0.730619 0.682785i \(-0.760769\pi\)
−0.983778 + 0.179393i \(0.942587\pi\)
\(312\) −1.47014 3.21916i −0.0832304 0.182249i
\(313\) 0.115527 0.803511i 0.00652999 0.0454171i −0.986296 0.164986i \(-0.947242\pi\)
0.992826 + 0.119569i \(0.0381512\pi\)
\(314\) −3.46980 + 4.00437i −0.195812 + 0.225979i
\(315\) −1.37681 + 3.01480i −0.0775746 + 0.169865i
\(316\) 5.67031 + 3.64409i 0.318980 + 0.204996i
\(317\) 1.69785 + 11.8088i 0.0953608 + 0.663249i 0.980296 + 0.197535i \(0.0632935\pi\)
−0.884935 + 0.465714i \(0.845797\pi\)
\(318\) −4.01091 + 2.57765i −0.224920 + 0.144548i
\(319\) 18.4602 + 21.3042i 1.03357 + 1.19280i
\(320\) −0.959493 + 0.281733i −0.0536373 + 0.0157493i
\(321\) −0.225423 −0.0125819
\(322\) −2.72194 + 15.6601i −0.151688 + 0.872701i
\(323\) 12.9917 0.722877
\(324\) −0.959493 + 0.281733i −0.0533052 + 0.0156518i
\(325\) 2.31753 + 2.67458i 0.128554 + 0.148359i
\(326\) 12.6537 8.13206i 0.700826 0.450393i
\(327\) 2.13226 + 14.8302i 0.117914 + 0.820112i
\(328\) −2.97064 1.90912i −0.164026 0.105413i
\(329\) −15.3455 + 33.6020i −0.846027 + 1.85254i
\(330\) 2.79529 3.22594i 0.153876 0.177582i
\(331\) −2.44124 + 16.9792i −0.134183 + 0.933263i 0.805836 + 0.592139i \(0.201716\pi\)
−0.940019 + 0.341123i \(0.889193\pi\)
\(332\) 3.81636 + 8.35667i 0.209450 + 0.458632i
\(333\) −8.92866 2.62169i −0.489288 0.143668i
\(334\) 8.58068 + 2.51952i 0.469514 + 0.137862i
\(335\) 6.53568 + 14.3111i 0.357082 + 0.781901i
\(336\) 0.471675 3.28057i 0.0257320 0.178970i
\(337\) −4.55753 + 5.25967i −0.248264 + 0.286512i −0.866180 0.499732i \(-0.833432\pi\)
0.617916 + 0.786244i \(0.287977\pi\)
\(338\) −0.197600 + 0.432684i −0.0107480 + 0.0235349i
\(339\) −2.40452 1.54529i −0.130596 0.0839289i
\(340\) 0.275836 + 1.91848i 0.0149593 + 0.104044i
\(341\) −20.1508 + 12.9501i −1.09122 + 0.701288i
\(342\) 4.38949 + 5.06574i 0.237356 + 0.273924i
\(343\) −9.58903 + 2.81559i −0.517759 + 0.152028i
\(344\) −4.15039 −0.223774
\(345\) 3.24542 3.53090i 0.174727 0.190097i
\(346\) −16.2525 −0.873742
\(347\) 30.6347 8.99515i 1.64455 0.482885i 0.677092 0.735898i \(-0.263240\pi\)
0.967463 + 0.253014i \(0.0814217\pi\)
\(348\) −4.32472 4.99099i −0.231829 0.267545i
\(349\) 14.0680 9.04093i 0.753041 0.483950i −0.106947 0.994265i \(-0.534107\pi\)
0.859988 + 0.510315i \(0.170471\pi\)
\(350\) 0.471675 + 3.28057i 0.0252121 + 0.175354i
\(351\) −2.97717 1.91331i −0.158910 0.102125i
\(352\) −1.77321 + 3.88279i −0.0945124 + 0.206953i
\(353\) −10.9733 + 12.6639i −0.584051 + 0.674031i −0.968471 0.249128i \(-0.919856\pi\)
0.384420 + 0.923158i \(0.374402\pi\)
\(354\) −0.995335 + 6.92270i −0.0529014 + 0.367938i
\(355\) −1.76177 3.85773i −0.0935050 0.204747i
\(356\) −13.8353 4.06242i −0.733270 0.215308i
\(357\) −6.16361 1.80980i −0.326213 0.0957847i
\(358\) 4.12341 + 9.02901i 0.217929 + 0.477198i
\(359\) −3.69844 + 25.7232i −0.195196 + 1.35762i 0.622794 + 0.782386i \(0.285998\pi\)
−0.817990 + 0.575233i \(0.804912\pi\)
\(360\) −0.654861 + 0.755750i −0.0345142 + 0.0398315i
\(361\) 10.7714 23.5861i 0.566917 1.24137i
\(362\) −16.5343 10.6260i −0.869026 0.558489i
\(363\) −1.02756 7.14681i −0.0539327 0.375110i
\(364\) 9.86727 6.34131i 0.517185 0.332375i
\(365\) 6.47180 + 7.46886i 0.338750 + 0.390938i
\(366\) 1.60492 0.471246i 0.0838903 0.0246324i
\(367\) −32.6264 −1.70309 −0.851543 0.524285i \(-0.824333\pi\)
−0.851543 + 0.524285i \(0.824333\pi\)
\(368\) −2.11919 + 4.30221i −0.110470 + 0.224268i
\(369\) −3.53121 −0.183827
\(370\) −8.92866 + 2.62169i −0.464179 + 0.136295i
\(371\) −10.3480 11.9423i −0.537242 0.620011i
\(372\) 4.72078 3.03386i 0.244761 0.157298i
\(373\) 2.65996 + 18.5004i 0.137728 + 0.957916i 0.935089 + 0.354414i \(0.115319\pi\)
−0.797361 + 0.603502i \(0.793771\pi\)
\(374\) 6.95994 + 4.47288i 0.359890 + 0.231287i
\(375\) 0.415415 0.909632i 0.0214519 0.0469732i
\(376\) −7.29887 + 8.42335i −0.376411 + 0.434401i
\(377\) 3.32611 23.1336i 0.171303 1.19144i
\(378\) −1.37681 3.01480i −0.0708156 0.155065i
\(379\) −9.25596 2.71779i −0.475446 0.139604i 0.0352253 0.999379i \(-0.488785\pi\)
−0.510672 + 0.859776i \(0.670603\pi\)
\(380\) 6.43142 + 1.88843i 0.329925 + 0.0968746i
\(381\) −6.44074 14.1033i −0.329969 0.722531i
\(382\) −0.781213 + 5.43345i −0.0399703 + 0.278000i
\(383\) 10.9349 12.6196i 0.558748 0.644830i −0.404151 0.914692i \(-0.632433\pi\)
0.962899 + 0.269863i \(0.0869783\pi\)
\(384\) 0.415415 0.909632i 0.0211991 0.0464195i
\(385\) 11.9014 + 7.64855i 0.606551 + 0.389806i
\(386\) −2.21096 15.3775i −0.112535 0.782696i
\(387\) −3.49153 + 2.24387i −0.177485 + 0.114062i
\(388\) −12.1299 13.9986i −0.615801 0.710672i
\(389\) 13.1831 3.87090i 0.668408 0.196262i 0.0701141 0.997539i \(-0.477664\pi\)
0.598294 + 0.801277i \(0.295845\pi\)
\(390\) −3.53897 −0.179203
\(391\) 7.66917 + 5.25232i 0.387847 + 0.265621i
\(392\) 3.98463 0.201254
\(393\) −9.56483 + 2.80849i −0.482482 + 0.141669i
\(394\) 3.93754 + 4.54416i 0.198370 + 0.228932i
\(395\) 5.67031 3.64409i 0.285304 0.183354i
\(396\) 0.607474 + 4.22508i 0.0305267 + 0.212318i
\(397\) −16.6176 10.6795i −0.834015 0.535989i 0.0525365 0.998619i \(-0.483269\pi\)
−0.886551 + 0.462630i \(0.846906\pi\)
\(398\) 0.122794 0.268882i 0.00615513 0.0134779i
\(399\) −14.5481 + 16.7894i −0.728316 + 0.840522i
\(400\) −0.142315 + 0.989821i −0.00711574 + 0.0494911i
\(401\) −12.8432 28.1226i −0.641357 1.40438i −0.898919 0.438114i \(-0.855647\pi\)
0.257563 0.966262i \(-0.417081\pi\)
\(402\) −15.0956 4.43247i −0.752900 0.221071i
\(403\) 19.0549 + 5.59501i 0.949190 + 0.278707i
\(404\) −0.357176 0.782105i −0.0177701 0.0389112i
\(405\) −0.142315 + 0.989821i −0.00707168 + 0.0491846i
\(406\) 14.3335 16.5417i 0.711357 0.820950i
\(407\) −16.5008 + 36.1317i −0.817914 + 1.79098i
\(408\) −1.63053 1.04787i −0.0807230 0.0518775i
\(409\) −2.55859 17.7954i −0.126514 0.879925i −0.949925 0.312479i \(-0.898841\pi\)
0.823410 0.567446i \(-0.192069\pi\)
\(410\) −2.97064 + 1.90912i −0.146710 + 0.0942845i
\(411\) 7.92289 + 9.14351i 0.390808 + 0.451016i
\(412\) 7.37177 2.16455i 0.363181 0.106640i
\(413\) −23.1799 −1.14061
\(414\) 0.543180 + 4.76497i 0.0266958 + 0.234186i
\(415\) 9.18686 0.450965
\(416\) 3.39562 0.997044i 0.166484 0.0488841i
\(417\) −2.25862 2.60658i −0.110605 0.127645i
\(418\) 24.0696 15.4686i 1.17728 0.756595i
\(419\) −2.65205 18.4454i −0.129561 0.901116i −0.946111 0.323842i \(-0.895025\pi\)
0.816550 0.577274i \(-0.195884\pi\)
\(420\) −2.78817 1.79185i −0.136049 0.0874333i
\(421\) −2.28600 + 5.00564i −0.111413 + 0.243960i −0.957123 0.289683i \(-0.906450\pi\)
0.845710 + 0.533643i \(0.179177\pi\)
\(422\) −0.969777 + 1.11918i −0.0472080 + 0.0544810i
\(423\) −1.58620 + 11.0322i −0.0771235 + 0.536406i
\(424\) −1.98060 4.33692i −0.0961867 0.210619i
\(425\) 1.85970 + 0.546057i 0.0902086 + 0.0264876i
\(426\) 4.06919 + 1.19482i 0.197153 + 0.0578894i
\(427\) 2.30295 + 5.04277i 0.111448 + 0.244037i
\(428\) 0.0320811 0.223129i 0.00155070 0.0107853i
\(429\) −9.89245 + 11.4165i −0.477612 + 0.551194i
\(430\) −1.72414 + 3.77533i −0.0831452 + 0.182063i
\(431\) −3.89628 2.50399i −0.187677 0.120613i 0.443428 0.896310i \(-0.353762\pi\)
−0.631105 + 0.775697i \(0.717399\pi\)
\(432\) −0.142315 0.989821i −0.00684713 0.0476228i
\(433\) −7.40979 + 4.76198i −0.356092 + 0.228846i −0.706439 0.707774i \(-0.749700\pi\)
0.350348 + 0.936620i \(0.386063\pi\)
\(434\) 12.1795 + 14.0559i 0.584633 + 0.674703i
\(435\) −6.33652 + 1.86057i −0.303813 + 0.0892075i
\(436\) −14.9827 −0.717542
\(437\) 27.5405 16.5799i 1.31744 0.793126i
\(438\) −9.88272 −0.472214
\(439\) −0.680280 + 0.199748i −0.0324680 + 0.00953346i −0.297926 0.954589i \(-0.596295\pi\)
0.265458 + 0.964122i \(0.414477\pi\)
\(440\) 2.79529 + 3.22594i 0.133260 + 0.153790i
\(441\) 3.35209 2.15425i 0.159623 0.102584i
\(442\) −0.976176 6.78945i −0.0464319 0.322941i
\(443\) −5.29152 3.40065i −0.251407 0.161570i 0.408867 0.912594i \(-0.365924\pi\)
−0.660275 + 0.751024i \(0.729560\pi\)
\(444\) 3.86569 8.46468i 0.183457 0.401716i
\(445\) −9.44270 + 10.8975i −0.447627 + 0.516589i
\(446\) −2.42909 + 16.8947i −0.115021 + 0.799987i
\(447\) 9.07860 + 19.8794i 0.429403 + 0.940261i
\(448\) 3.18005 + 0.933748i 0.150243 + 0.0441155i
\(449\) 16.9314 + 4.97152i 0.799044 + 0.234620i 0.655669 0.755048i \(-0.272387\pi\)
0.143374 + 0.989669i \(0.454205\pi\)
\(450\) 0.415415 + 0.909632i 0.0195829 + 0.0428805i
\(451\) −2.14512 + 14.9196i −0.101010 + 0.702538i
\(452\) 1.87176 2.16013i 0.0880404 0.101604i
\(453\) 7.33850 16.0691i 0.344793 0.754991i
\(454\) 11.6787 + 7.50541i 0.548106 + 0.352246i
\(455\) −1.66925 11.6099i −0.0782554 0.544279i
\(456\) −5.63886 + 3.62388i −0.264064 + 0.169704i
\(457\) 6.93567 + 8.00419i 0.324437 + 0.374420i 0.894414 0.447241i \(-0.147593\pi\)
−0.569977 + 0.821661i \(0.693048\pi\)
\(458\) 16.5523 4.86020i 0.773439 0.227102i
\(459\) −1.93821 −0.0904678
\(460\) 3.03309 + 3.71488i 0.141419 + 0.173207i
\(461\) −14.8143 −0.689969 −0.344984 0.938608i \(-0.612116\pi\)
−0.344984 + 0.938608i \(0.612116\pi\)
\(462\) −13.5741 + 3.98573i −0.631526 + 0.185433i
\(463\) 22.8239 + 26.3402i 1.06072 + 1.22413i 0.973678 + 0.227926i \(0.0731945\pi\)
0.0870375 + 0.996205i \(0.472260\pi\)
\(464\) 5.55566 3.57041i 0.257915 0.165752i
\(465\) −0.798614 5.55448i −0.0370348 0.257583i
\(466\) 3.78677 + 2.43361i 0.175419 + 0.112735i
\(467\) −12.0725 + 26.4350i −0.558647 + 1.22327i 0.393978 + 0.919120i \(0.371099\pi\)
−0.952625 + 0.304147i \(0.901629\pi\)
\(468\) 2.31753 2.67458i 0.107128 0.123632i
\(469\) 7.42081 51.6129i 0.342661 2.38326i
\(470\) 4.63009 + 10.1385i 0.213570 + 0.467653i
\(471\) −5.08391 1.49277i −0.234254 0.0687832i
\(472\) −6.71059 1.97041i −0.308880 0.0906953i
\(473\) 7.35952 + 16.1151i 0.338391 + 0.740973i
\(474\) −0.959246 + 6.67170i −0.0440596 + 0.306441i
\(475\) 4.38949 5.06574i 0.201403 0.232432i
\(476\) 2.66855 5.84331i 0.122313 0.267828i
\(477\) −4.01091 2.57765i −0.183647 0.118023i
\(478\) −0.438586 3.05044i −0.0200605 0.139524i
\(479\) 23.6497 15.1987i 1.08058 0.694447i 0.125889 0.992044i \(-0.459822\pi\)
0.954692 + 0.297597i \(0.0961852\pi\)
\(480\) −0.654861 0.755750i −0.0298902 0.0344951i
\(481\) 31.5983 9.27810i 1.44076 0.423045i
\(482\) −19.9288 −0.907732
\(483\) −15.3756 + 4.02946i −0.699615 + 0.183347i
\(484\) 7.22030 0.328196
\(485\) −17.7725 + 5.21848i −0.807008 + 0.236959i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) 24.8323 15.9587i 1.12526 0.723160i 0.160694 0.987004i \(-0.448627\pi\)
0.964565 + 0.263844i \(0.0849906\pi\)
\(488\) 0.238046 + 1.65564i 0.0107758 + 0.0749475i
\(489\) 12.6537 + 8.13206i 0.572222 + 0.367745i
\(490\) 1.65528 3.62455i 0.0747777 0.163740i
\(491\) −6.75516 + 7.79587i −0.304856 + 0.351823i −0.887420 0.460962i \(-0.847504\pi\)
0.582564 + 0.812785i \(0.302050\pi\)
\(492\) 0.502543 3.49527i 0.0226564 0.157579i
\(493\) −5.31731 11.6433i −0.239480 0.524387i
\(494\) −22.7606 6.68312i −1.02405 0.300688i
\(495\) 4.09562 + 1.20258i 0.184084 + 0.0540521i
\(496\) 2.33114 + 5.10449i 0.104671 + 0.229198i
\(497\) −2.00037 + 13.9129i −0.0897287 + 0.624077i
\(498\) −6.01612 + 6.94297i −0.269589 + 0.311122i
\(499\) −16.2638 + 35.6127i −0.728067 + 1.59424i 0.0741757 + 0.997245i \(0.476367\pi\)
−0.802242 + 0.596998i \(0.796360\pi\)
\(500\) 0.841254 + 0.540641i 0.0376220 + 0.0241782i
\(501\) 1.27271 + 8.85191i 0.0568606 + 0.395474i
\(502\) 5.43461 3.49261i 0.242558 0.155883i
\(503\) 1.96368 + 2.26621i 0.0875562 + 0.101045i 0.797837 0.602873i \(-0.205978\pi\)
−0.710281 + 0.703918i \(0.751432\pi\)
\(504\) 3.18005 0.933748i 0.141651 0.0415925i
\(505\) −0.859804 −0.0382608
\(506\) 20.4623 + 0.599620i 0.909662 + 0.0266564i
\(507\) −0.475669 −0.0211252
\(508\) 14.8763 4.36808i 0.660030 0.193802i
\(509\) −7.48385 8.63682i −0.331716 0.382820i 0.565251 0.824919i \(-0.308779\pi\)
−0.896966 + 0.442099i \(0.854234\pi\)
\(510\) −1.63053 + 1.04787i −0.0722009 + 0.0464007i
\(511\) −4.66143 32.4210i −0.206210 1.43422i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) −2.78450 + 6.09720i −0.122939 + 0.269198i
\(514\) −12.6079 + 14.5503i −0.556110 + 0.641785i
\(515\) 1.09340 7.60478i 0.0481811 0.335107i
\(516\) −1.72414 3.77533i −0.0759009 0.166200i
\(517\) 45.6485 + 13.4036i 2.00762 + 0.589490i
\(518\) 29.5923 + 8.68909i 1.30021 + 0.381777i
\(519\) −6.75155 14.7838i −0.296360 0.648938i
\(520\) 0.503648 3.50295i 0.0220864 0.153615i
\(521\) 9.55233 11.0240i 0.418495 0.482969i −0.506883 0.862015i \(-0.669202\pi\)
0.925378 + 0.379046i \(0.123748\pi\)
\(522\) 2.74341 6.00724i 0.120076 0.262930i
\(523\) 32.8485 + 21.1104i 1.43636 + 0.923095i 0.999725 + 0.0234575i \(0.00746745\pi\)
0.436638 + 0.899637i \(0.356169\pi\)
\(524\) −1.41868 9.86717i −0.0619755 0.431049i
\(525\) −2.78817 + 1.79185i −0.121686 + 0.0782027i
\(526\) −14.6110 16.8620i −0.637072 0.735220i
\(527\) 10.4359 3.06425i 0.454594 0.133481i
\(528\) −4.26852 −0.185764
\(529\) 22.9605 + 1.34681i 0.998284 + 0.0585569i
\(530\) −4.76777 −0.207099
\(531\) −6.71059 + 1.97041i −0.291215 + 0.0855084i
\(532\) −14.5481 16.7894i −0.630740 0.727913i
\(533\) 10.5130 6.75631i 0.455369 0.292648i
\(534\) −2.05210 14.2726i −0.0888028 0.617637i
\(535\) −0.189638 0.121873i −0.00819877 0.00526903i
\(536\) 6.53568 14.3111i 0.282298 0.618147i
\(537\) −6.50015 + 7.50157i −0.280502 + 0.323717i
\(538\) 1.68918 11.7485i 0.0728258 0.506514i
\(539\) −7.06559 15.4715i −0.304336 0.666404i
\(540\) −0.959493 0.281733i −0.0412900 0.0121238i
\(541\) 9.01585 + 2.64729i 0.387622 + 0.113816i 0.469736 0.882807i \(-0.344349\pi\)
−0.0821143 + 0.996623i \(0.526167\pi\)
\(542\) −0.370106 0.810419i −0.0158974 0.0348105i
\(543\) 2.79711 19.4544i 0.120036 0.834867i
\(544\) 1.26926 1.46480i 0.0544189 0.0628028i
\(545\) −6.22404 + 13.6288i −0.266609 + 0.583792i
\(546\) 9.86727 + 6.34131i 0.422280 + 0.271383i
\(547\) −3.47911 24.1977i −0.148756 1.03462i −0.918260 0.395978i \(-0.870406\pi\)
0.769504 0.638642i \(-0.220504\pi\)
\(548\) −10.1780 + 6.54099i −0.434782 + 0.279417i
\(549\) 1.09537 + 1.26412i 0.0467491 + 0.0539513i
\(550\) 4.09562 1.20258i 0.174638 0.0512783i
\(551\) −44.2664 −1.88581
\(552\) −4.79377 0.140475i −0.204037 0.00597901i
\(553\) −22.3395 −0.949970
\(554\) −10.6251 + 3.11981i −0.451417 + 0.132548i
\(555\) −6.09388 7.03271i −0.258671 0.298522i
\(556\) 2.90149 1.86467i 0.123050 0.0790797i
\(557\) −3.51429 24.4424i −0.148905 1.03566i −0.918016 0.396544i \(-0.870210\pi\)
0.769111 0.639116i \(-0.220700\pi\)
\(558\) 4.72078 + 3.03386i 0.199846 + 0.128434i
\(559\) 6.10167 13.3608i 0.258073 0.565101i
\(560\) 2.17041 2.50479i 0.0917165 0.105847i
\(561\) −1.17741 + 8.18908i −0.0497104 + 0.345743i
\(562\) 5.64493 + 12.3607i 0.238117 + 0.521404i
\(563\) −6.35603 1.86630i −0.267875 0.0786551i 0.145037 0.989426i \(-0.453670\pi\)
−0.412912 + 0.910771i \(0.635488\pi\)
\(564\) −10.6942 3.14010i −0.450308 0.132222i
\(565\) −1.18737 2.59997i −0.0499529 0.109381i
\(566\) −3.81746 + 26.5510i −0.160460 + 1.11602i
\(567\) 2.17041 2.50479i 0.0911486 0.105191i
\(568\) −1.76177 + 3.85773i −0.0739222 + 0.161867i
\(569\) 20.5874 + 13.2307i 0.863070 + 0.554661i 0.895626 0.444809i \(-0.146728\pi\)
−0.0325558 + 0.999470i \(0.510365\pi\)
\(570\) 0.953927 + 6.63471i 0.0399556 + 0.277897i
\(571\) −14.4526 + 9.28815i −0.604824 + 0.388697i −0.806913 0.590670i \(-0.798863\pi\)
0.202089 + 0.979367i \(0.435227\pi\)
\(572\) −9.89245 11.4165i −0.413624 0.477348i
\(573\) −5.26697 + 1.54652i −0.220031 + 0.0646069i
\(574\) 11.7035 0.488495
\(575\) 4.63917 1.21578i 0.193467 0.0507014i
\(576\) 1.00000 0.0416667
\(577\) 7.24920 2.12856i 0.301788 0.0886130i −0.127333 0.991860i \(-0.540642\pi\)
0.429121 + 0.903247i \(0.358823\pi\)
\(578\) 8.67255 + 10.0087i 0.360730 + 0.416305i
\(579\) 13.0694 8.39921i 0.543147 0.349059i
\(580\) −0.939852 6.53681i −0.0390252 0.271426i
\(581\) −25.6146 16.4615i −1.06267 0.682937i
\(582\) 7.69466 16.8489i 0.318954 0.698411i
\(583\) −13.3273 + 15.3805i −0.551961 + 0.636996i
\(584\) 1.40646 9.78212i 0.0581996 0.404787i
\(585\) −1.47014 3.21916i −0.0607829 0.133096i
\(586\) −28.6634 8.41632i −1.18407 0.347675i
\(587\) 8.32196 + 2.44355i 0.343484 + 0.100856i 0.448925 0.893570i \(-0.351807\pi\)
−0.105441 + 0.994426i \(0.533625\pi\)
\(588\) 1.65528 + 3.62455i 0.0682624 + 0.149474i
\(589\) 5.35305 37.2313i 0.220569 1.53409i
\(590\) −4.58003 + 5.28563i −0.188557 + 0.217606i
\(591\) −2.49780 + 5.46942i −0.102746 + 0.224982i
\(592\) 7.82837 + 5.03099i 0.321744 + 0.206772i
\(593\) 5.18234 + 36.0439i 0.212813 + 1.48015i 0.763702 + 0.645569i \(0.223380\pi\)
−0.550889 + 0.834578i \(0.685711\pi\)
\(594\) −3.59091 + 2.30774i −0.147337 + 0.0946877i
\(595\) −4.20671 4.85480i −0.172458 0.199027i
\(596\) −20.9690 + 6.15706i −0.858925 + 0.252203i
\(597\) 0.295595 0.0120979
\(598\) −10.7340 13.1469i −0.438947 0.537616i
\(599\) 7.14771 0.292048 0.146024 0.989281i \(-0.453352\pi\)
0.146024 + 0.989281i \(0.453352\pi\)
\(600\) −0.959493 + 0.281733i −0.0391711 + 0.0115017i
\(601\) −8.96900 10.3508i −0.365853 0.422217i 0.542739 0.839901i \(-0.317387\pi\)
−0.908592 + 0.417684i \(0.862842\pi\)
\(602\) 11.5720 7.43688i 0.471640 0.303105i
\(603\) −2.23902 15.5727i −0.0911801 0.634171i
\(604\) 14.8611 + 9.55067i 0.604691 + 0.388611i
\(605\) 2.99942 6.56782i 0.121944 0.267020i
\(606\) 0.563052 0.649797i 0.0228724 0.0263962i
\(607\) −3.56487 + 24.7942i −0.144694 + 1.00637i 0.780034 + 0.625737i \(0.215202\pi\)
−0.924728 + 0.380629i \(0.875707\pi\)
\(608\) −2.78450 6.09720i −0.112926 0.247274i
\(609\) 21.0012 + 6.16650i 0.851011 + 0.249879i
\(610\) 1.60492 + 0.471246i 0.0649811 + 0.0190802i
\(611\) −16.3858 35.8798i −0.662897 1.45154i
\(612\) 0.275836 1.91848i 0.0111500 0.0775500i
\(613\) 0.636851 0.734965i 0.0257222 0.0296850i −0.742743 0.669577i \(-0.766475\pi\)
0.768465 + 0.639892i \(0.221021\pi\)
\(614\) −6.28614 + 13.7647i −0.253688 + 0.555499i
\(615\) −2.97064 1.90912i −0.119788 0.0769830i
\(616\) −2.01336 14.0032i −0.0811205 0.564205i
\(617\) 36.6268 23.5386i 1.47454 0.947629i 0.476901 0.878957i \(-0.341760\pi\)
0.997639 0.0686721i \(-0.0218762\pi\)
\(618\) 5.03129 + 5.80641i 0.202388 + 0.233568i
\(619\) −30.2163 + 8.87231i −1.21450 + 0.356608i −0.825379 0.564580i \(-0.809038\pi\)
−0.389118 + 0.921188i \(0.627220\pi\)
\(620\) 5.61160 0.225367
\(621\) −4.10873 + 2.47353i −0.164877 + 0.0992595i
\(622\) 31.5101 1.26344
\(623\) 45.8545 13.4641i 1.83712 0.539428i
\(624\) 2.31753 + 2.67458i 0.0927756 + 0.107069i
\(625\) 0.841254 0.540641i 0.0336501 0.0216256i
\(626\) 0.115527 + 0.803511i 0.00461740 + 0.0321147i
\(627\) 24.0696 + 15.4686i 0.961249 + 0.617757i
\(628\) 2.20109 4.81972i 0.0878331 0.192328i
\(629\) 11.8112 13.6309i 0.470944 0.543498i
\(630\) 0.471675 3.28057i 0.0187920 0.130701i
\(631\) 6.05183 + 13.2517i 0.240920 + 0.527540i 0.991009 0.133796i \(-0.0427168\pi\)
−0.750089 + 0.661337i \(0.769990\pi\)
\(632\) −6.46728 1.89896i −0.257255 0.0755368i
\(633\) −1.42090 0.417215i −0.0564759 0.0165828i
\(634\) −4.95600 10.8521i −0.196828 0.430993i
\(635\) 2.20650 15.3465i 0.0875622 0.609009i
\(636\) 3.12223 3.60324i 0.123804 0.142878i
\(637\) −5.85798 + 12.8272i −0.232102 + 0.508231i
\(638\) −23.7145 15.2404i −0.938866 0.603372i
\(639\) 0.603555 + 4.19782i 0.0238763 + 0.166063i
\(640\) 0.841254 0.540641i 0.0332535 0.0213707i
\(641\) 26.8708 + 31.0105i 1.06133 + 1.22484i 0.973496 + 0.228706i \(0.0734495\pi\)
0.0878354 + 0.996135i \(0.472005\pi\)
\(642\) 0.216292 0.0635091i 0.00853637 0.00250650i
\(643\) −13.0456 −0.514470 −0.257235 0.966349i \(-0.582811\pi\)
−0.257235 + 0.966349i \(0.582811\pi\)
\(644\) −1.80027 15.7926i −0.0709404 0.622315i
\(645\) −4.15039 −0.163422
\(646\) −12.4654 + 3.66018i −0.490446 + 0.144008i
\(647\) 2.19122 + 2.52880i 0.0861456 + 0.0994174i 0.797186 0.603734i \(-0.206321\pi\)
−0.711040 + 0.703151i \(0.751776\pi\)
\(648\) 0.841254 0.540641i 0.0330476 0.0212384i
\(649\) 4.24861 + 29.5497i 0.166773 + 1.15993i
\(650\) −2.97717 1.91331i −0.116774 0.0750463i
\(651\) −7.72612 + 16.9179i −0.302811 + 0.663063i
\(652\) −9.85011 + 11.3676i −0.385760 + 0.445191i
\(653\) −3.24450 + 22.5660i −0.126967 + 0.883076i 0.822400 + 0.568909i \(0.192634\pi\)
−0.949368 + 0.314167i \(0.898275\pi\)
\(654\) −6.22404 13.6288i −0.243379 0.532926i
\(655\) −9.56483 2.80849i −0.373729 0.109737i
\(656\) 3.38817 + 0.994856i 0.132286 + 0.0388426i
\(657\) −4.10543 8.98964i −0.160168 0.350719i
\(658\) 5.25714 36.5642i 0.204945 1.42542i
\(659\) 9.48701 10.9486i 0.369562 0.426497i −0.540259 0.841499i \(-0.681674\pi\)
0.909820 + 0.415002i \(0.136219\pi\)
\(660\) −1.77321 + 3.88279i −0.0690221 + 0.151137i
\(661\) −26.9491 17.3191i −1.04820 0.673635i −0.101196 0.994866i \(-0.532267\pi\)
−0.947001 + 0.321231i \(0.895903\pi\)
\(662\) −2.44124 16.9792i −0.0948816 0.659916i
\(663\) 5.77038 3.70840i 0.224103 0.144022i
\(664\) −6.01612 6.94297i −0.233471 0.269439i
\(665\) −21.3157 + 6.25885i −0.826587 + 0.242708i
\(666\) 9.30561 0.360585
\(667\) −26.1310 17.8962i −1.01180 0.692942i
\(668\) −8.94294 −0.346013
\(669\) −16.3770 + 4.80873i −0.633172 + 0.185916i
\(670\) −10.3028 11.8901i −0.398034 0.459355i
\(671\) 6.00641 3.86009i 0.231875 0.149017i
\(672\) 0.471675 + 3.28057i 0.0181953 + 0.126551i
\(673\) −15.4238 9.91224i −0.594542 0.382089i 0.208490 0.978024i \(-0.433145\pi\)
−0.803032 + 0.595935i \(0.796781\pi\)
\(674\) 2.89110 6.33062i 0.111361 0.243846i
\(675\) −0.654861 + 0.755750i −0.0252056 + 0.0290888i
\(676\) 0.0676948 0.470827i 0.00260364 0.0181087i
\(677\) 2.99201 + 6.55159i 0.114992 + 0.251798i 0.958373 0.285518i \(-0.0921655\pi\)
−0.843381 + 0.537316i \(0.819438\pi\)
\(678\) 2.74248 + 0.805266i 0.105324 + 0.0309261i
\(679\) 58.9036 + 17.2956i 2.26051 + 0.663746i
\(680\) −0.805161 1.76306i −0.0308765 0.0676101i
\(681\) −1.97568 + 13.7411i −0.0757081 + 0.526561i
\(682\) 15.6860 18.1027i 0.600650 0.693187i
\(683\) 16.3449 35.7904i 0.625421 1.36948i −0.286089 0.958203i \(-0.592355\pi\)
0.911510 0.411278i \(-0.134917\pi\)
\(684\) −5.63886 3.62388i −0.215607 0.138562i
\(685\) 1.72181 + 11.9754i 0.0657870 + 0.457558i
\(686\) 8.40737 5.40309i 0.320995 0.206291i
\(687\) 11.2971 + 13.0375i 0.431010 + 0.497413i
\(688\) 3.98227 1.16930i 0.151823 0.0445792i
\(689\) 16.8730 0.642811
\(690\) −2.11919 + 4.30221i −0.0806760 + 0.163783i
\(691\) −30.1405 −1.14660 −0.573300 0.819346i \(-0.694337\pi\)
−0.573300 + 0.819346i \(0.694337\pi\)
\(692\) 15.5942 4.57887i 0.592802 0.174063i
\(693\) −9.26445 10.6917i −0.351927 0.406146i
\(694\) −26.8595 + 17.2616i −1.01957 + 0.655240i
\(695\) −0.490844 3.41390i −0.0186188 0.129496i
\(696\) 5.55566 + 3.57041i 0.210587 + 0.135336i
\(697\) 2.84319 6.22572i 0.107694 0.235816i
\(698\) −10.9510 + 12.6381i −0.414501 + 0.478360i
\(699\) −0.640609 + 4.45553i −0.0242300 + 0.168524i
\(700\) −1.37681 3.01480i −0.0520386 0.113949i
\(701\) 31.9238 + 9.37366i 1.20574 + 0.354038i 0.822046 0.569421i \(-0.192832\pi\)
0.383697 + 0.923459i \(0.374651\pi\)
\(702\) 3.39562 + 0.997044i 0.128159 + 0.0376310i
\(703\) −25.9114 56.7382i −0.977269 2.13992i
\(704\) 0.607474 4.22508i 0.0228951 0.159239i
\(705\) −7.29887 + 8.42335i −0.274892 + 0.317242i
\(706\) 6.96099 15.2424i 0.261980 0.573657i
\(707\) 2.39728 + 1.54064i 0.0901591 + 0.0579417i
\(708\) −0.995335 6.92270i −0.0374070 0.260171i
\(709\) −4.10606 + 2.63880i −0.154206 + 0.0991023i −0.615468 0.788162i \(-0.711033\pi\)
0.461262 + 0.887264i \(0.347397\pi\)
\(710\) 2.77725 + 3.20512i 0.104228 + 0.120286i
\(711\) −6.46728 + 1.89896i −0.242542 + 0.0712167i
\(712\) 14.4194 0.540390
\(713\) 18.2120 19.8140i 0.682044 0.742040i
\(714\) 6.42382 0.240405
\(715\) −14.4943 + 4.25591i −0.542056 + 0.159162i
\(716\) −6.50015 7.50157i −0.242922 0.280347i
\(717\) 2.59258 1.66615i 0.0968216 0.0622235i
\(718\) −3.69844 25.7232i −0.138024 0.959981i
\(719\) −25.3218 16.2734i −0.944346 0.606894i −0.0247218 0.999694i \(-0.507870\pi\)
−0.919624 + 0.392800i \(0.871506\pi\)
\(720\) 0.415415 0.909632i 0.0154816 0.0339000i
\(721\) −16.6752 + 19.2442i −0.621018 + 0.716693i
\(722\) −3.69012 + 25.6654i −0.137332 + 0.955166i
\(723\) −8.27872 18.1279i −0.307889 0.674183i
\(724\) 18.8583 + 5.53729i 0.700862 + 0.205792i
\(725\) −6.33652 1.86057i −0.235332 0.0690999i
\(726\) 2.99942 + 6.56782i 0.111319 + 0.243755i
\(727\) −1.53688 + 10.6892i −0.0569997 + 0.396442i 0.941271 + 0.337653i \(0.109633\pi\)
−0.998270 + 0.0587889i \(0.981276\pi\)
\(728\) −7.68102 + 8.86437i −0.284678 + 0.328535i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −8.31387 5.34300i −0.307710 0.197753i
\(731\) −1.14483 7.96245i −0.0423430 0.294502i
\(732\) −1.40714 + 0.904314i −0.0520094 + 0.0334244i
\(733\) −4.83042 5.57460i −0.178416 0.205903i 0.659497 0.751707i \(-0.270769\pi\)
−0.837912 + 0.545805i \(0.816224\pi\)
\(734\) 31.3048 9.19193i 1.15548 0.339280i
\(735\) 3.98463 0.146975
\(736\) 0.821270 4.72499i 0.0302724 0.174165i
\(737\) −67.1562 −2.47373
\(738\) 3.38817 0.994856i 0.124720 0.0366212i
\(739\) 0.204970 + 0.236548i 0.00753995 + 0.00870157i 0.759507 0.650499i \(-0.225440\pi\)
−0.751967 + 0.659201i \(0.770895\pi\)
\(740\) 7.82837 5.03099i 0.287777 0.184943i
\(741\) −3.37592 23.4800i −0.124018 0.862561i
\(742\) 13.2934 + 8.54313i 0.488015 + 0.313628i
\(743\) −7.62234 + 16.6906i −0.279636 + 0.612318i −0.996379 0.0850192i \(-0.972905\pi\)
0.716743 + 0.697337i \(0.245632\pi\)
\(744\) −3.67482 + 4.24096i −0.134725 + 0.155481i
\(745\) −3.11019 + 21.6318i −0.113949 + 0.792529i
\(746\) −7.76439 17.0016i −0.284274 0.622474i
\(747\) −8.81473 2.58824i −0.322514 0.0946987i
\(748\) −7.93817 2.33086i −0.290248 0.0852245i
\(749\) 0.310366 + 0.679606i 0.0113405 + 0.0248323i
\(750\) −0.142315 + 0.989821i −0.00519660 + 0.0361432i
\(751\) −10.1717 + 11.7388i −0.371171 + 0.428354i −0.910351 0.413836i \(-0.864189\pi\)
0.539181 + 0.842190i \(0.318734\pi\)
\(752\) 4.63009 10.1385i 0.168842 0.369712i
\(753\) 5.43461 + 3.49261i 0.198048 + 0.127278i
\(754\) 3.32611 + 23.1336i 0.121130 + 0.842476i
\(755\) 14.8611 9.55067i 0.540852 0.347585i
\(756\) 2.17041 + 2.50479i 0.0789370 + 0.0910982i
\(757\) 22.3284 6.55621i 0.811540 0.238290i 0.150471 0.988614i \(-0.451921\pi\)
0.661069 + 0.750325i \(0.270103\pi\)
\(758\) 9.64672 0.350384
\(759\) 7.95493 + 18.8623i 0.288746 + 0.684658i
\(760\) −6.70293 −0.243141
\(761\) −10.7811 + 3.16560i −0.390813 + 0.114753i −0.471235 0.882008i \(-0.656192\pi\)
0.0804216 + 0.996761i \(0.474373\pi\)
\(762\) 10.1532 + 11.7174i 0.367811 + 0.424477i
\(763\) 41.7744 26.8468i 1.51233 0.971918i
\(764\) −0.781213 5.43345i −0.0282633 0.196575i
\(765\) −1.63053 1.04787i −0.0589518 0.0378860i
\(766\) −6.93663 + 15.1891i −0.250631 + 0.548805i
\(767\) 16.2086 18.7057i 0.585258 0.675424i
\(768\) −0.142315 + 0.989821i −0.00513534 + 0.0357171i
\(769\) 7.11398 + 15.5774i 0.256537 + 0.561737i 0.993452 0.114248i \(-0.0364458\pi\)
−0.736916 + 0.675985i \(0.763719\pi\)
\(770\) −13.5741 3.98573i −0.489178 0.143636i
\(771\) −18.4729 5.42414i −0.665286 0.195345i
\(772\) 6.45375 + 14.1317i 0.232275 + 0.508612i
\(773\) −6.21607 + 43.2337i −0.223576 + 1.55501i 0.500775 + 0.865577i \(0.333048\pi\)