Properties

Label 483.2.y.b.25.2
Level $483$
Weight $2$
Character 483.25
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 25.2
Character \(\chi\) \(=\) 483.25
Dual form 483.2.y.b.58.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.108052 + 2.26829i) q^{2} +(0.928368 + 0.371662i) q^{3} +(-3.14254 - 0.300076i) q^{4} +(0.756875 + 3.11988i) q^{5} +(-0.943352 + 2.06565i) q^{6} +(-2.46743 - 0.954876i) q^{7} +(0.373863 - 2.60027i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(-0.108052 + 2.26829i) q^{2} +(0.928368 + 0.371662i) q^{3} +(-3.14254 - 0.300076i) q^{4} +(0.756875 + 3.11988i) q^{5} +(-0.943352 + 2.06565i) q^{6} +(-2.46743 - 0.954876i) q^{7} +(0.373863 - 2.60027i) q^{8} +(0.723734 + 0.690079i) q^{9} +(-7.15859 + 1.37970i) q^{10} +(0.0489591 + 1.02778i) q^{11} +(-2.80591 - 1.44654i) q^{12} +(-0.882063 - 1.01795i) q^{13} +(2.43255 - 5.49368i) q^{14} +(-0.456884 + 3.17770i) q^{15} +(-0.341781 - 0.0658730i) q^{16} +(1.07086 + 1.50381i) q^{17} +(-1.64350 + 1.56708i) q^{18} +(1.50930 - 2.11951i) q^{19} +(-1.44231 - 10.0315i) q^{20} +(-1.93579 - 1.80353i) q^{21} -2.33659 q^{22} +(-0.750041 + 4.73682i) q^{23} +(1.31351 - 2.27506i) q^{24} +(-4.71662 + 2.43159i) q^{25} +(2.40433 - 1.89079i) q^{26} +(0.415415 + 0.909632i) q^{27} +(7.46746 + 3.74115i) q^{28} +(1.20181 - 2.63159i) q^{29} +(-7.15859 - 1.37970i) q^{30} +(5.55612 + 4.36938i) q^{31} +(1.42503 - 5.87407i) q^{32} +(-0.336535 + 0.972353i) q^{33} +(-3.52680 + 2.26654i) q^{34} +(1.11156 - 8.42081i) q^{35} +(-2.06729 - 2.38578i) q^{36} +(-1.57628 - 1.50298i) q^{37} +(4.64460 + 3.65255i) q^{38} +(-0.440543 - 1.27287i) q^{39} +(8.39551 - 0.801674i) q^{40} +(-9.25775 - 2.71832i) q^{41} +(4.30010 - 4.19607i) q^{42} +(0.528860 + 3.67830i) q^{43} +(0.154556 - 3.24453i) q^{44} +(-1.60519 + 2.78027i) q^{45} +(-10.6635 - 2.21314i) q^{46} +(2.39235 + 4.14367i) q^{47} +(-0.292816 - 0.188182i) q^{48} +(5.17642 + 4.71218i) q^{49} +(-5.00591 - 10.9614i) q^{50} +(0.435242 + 1.79409i) q^{51} +(2.46645 + 3.46365i) q^{52} +(0.285211 + 0.824064i) q^{53} +(-2.10820 + 0.843996i) q^{54} +(-3.16949 + 0.930647i) q^{55} +(-3.40542 + 6.05900i) q^{56} +(2.18893 - 1.40674i) q^{57} +(5.83937 + 3.01040i) q^{58} +(12.3770 - 2.38548i) q^{59} +(2.38933 - 9.84894i) q^{60} +(1.38202 - 0.553276i) q^{61} +(-10.5114 + 12.1308i) q^{62} +(-1.12682 - 2.39380i) q^{63} +(12.5022 + 3.67097i) q^{64} +(2.50829 - 3.52239i) q^{65} +(-2.16922 - 0.868424i) q^{66} +(7.78071 - 4.01123i) q^{67} +(-2.91396 - 5.04714i) q^{68} +(-2.45681 + 4.11875i) q^{69} +(18.9808 + 3.43124i) q^{70} +(9.87122 + 6.34385i) q^{71} +(2.06497 - 1.62391i) q^{72} +(-4.79757 - 0.458112i) q^{73} +(3.57952 - 3.41307i) q^{74} +(-5.28249 + 0.504416i) q^{75} +(-5.37905 + 6.20775i) q^{76} +(0.860598 - 2.58272i) q^{77} +(2.93484 - 0.861746i) q^{78} +(-0.772892 + 2.23312i) q^{79} +(-0.0531700 - 1.11617i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(7.16627 - 20.7056i) q^{82} +(-4.20692 + 1.23526i) q^{83} +(5.54210 + 6.24854i) q^{84} +(-3.88121 + 4.47916i) q^{85} +(-8.40062 + 0.802162i) q^{86} +(2.09379 - 1.99642i) q^{87} +(2.69081 + 0.256941i) q^{88} +(-10.4693 + 8.23315i) q^{89} +(-6.13302 - 3.94145i) q^{90} +(1.20441 + 3.35399i) q^{91} +(3.77844 - 14.6606i) q^{92} +(3.53419 + 6.12139i) q^{93} +(-9.65757 + 4.97882i) q^{94} +(7.75498 + 3.10463i) q^{95} +(3.50612 - 4.92366i) q^{96} +(-15.6657 - 4.59987i) q^{97} +(-11.2479 + 11.2325i) q^{98} +(-0.673815 + 0.777624i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.108052 + 2.26829i −0.0764044 + 1.60393i 0.557273 + 0.830329i \(0.311848\pi\)
−0.633678 + 0.773597i \(0.718456\pi\)
\(3\) 0.928368 + 0.371662i 0.535993 + 0.214579i
\(4\) −3.14254 0.300076i −1.57127 0.150038i
\(5\) 0.756875 + 3.11988i 0.338485 + 1.39525i 0.845804 + 0.533495i \(0.179122\pi\)
−0.507319 + 0.861758i \(0.669363\pi\)
\(6\) −0.943352 + 2.06565i −0.385122 + 0.843299i
\(7\) −2.46743 0.954876i −0.932601 0.360909i
\(8\) 0.373863 2.60027i 0.132180 0.919336i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) −7.15859 + 1.37970i −2.26374 + 0.436301i
\(11\) 0.0489591 + 1.02778i 0.0147617 + 0.309887i 0.994158 + 0.107937i \(0.0344246\pi\)
−0.979396 + 0.201949i \(0.935272\pi\)
\(12\) −2.80591 1.44654i −0.809995 0.417581i
\(13\) −0.882063 1.01795i −0.244640 0.282330i 0.620128 0.784500i \(-0.287080\pi\)
−0.864769 + 0.502170i \(0.832535\pi\)
\(14\) 2.43255 5.49368i 0.650126 1.46825i
\(15\) −0.456884 + 3.17770i −0.117967 + 0.820478i
\(16\) −0.341781 0.0658730i −0.0854453 0.0164682i
\(17\) 1.07086 + 1.50381i 0.259722 + 0.364729i 0.923761 0.382969i \(-0.125099\pi\)
−0.664039 + 0.747698i \(0.731159\pi\)
\(18\) −1.64350 + 1.56708i −0.387377 + 0.369364i
\(19\) 1.50930 2.11951i 0.346257 0.486250i −0.604319 0.796743i \(-0.706555\pi\)
0.950576 + 0.310493i \(0.100494\pi\)
\(20\) −1.44231 10.0315i −0.322510 2.24310i
\(21\) −1.93579 1.80353i −0.422424 0.393562i
\(22\) −2.33659 −0.498164
\(23\) −0.750041 + 4.73682i −0.156394 + 0.987695i
\(24\) 1.31351 2.27506i 0.268118 0.464395i
\(25\) −4.71662 + 2.43159i −0.943324 + 0.486317i
\(26\) 2.40433 1.89079i 0.471528 0.370813i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) 7.46746 + 3.74115i 1.41122 + 0.707011i
\(29\) 1.20181 2.63159i 0.223170 0.488675i −0.764617 0.644485i \(-0.777072\pi\)
0.987787 + 0.155811i \(0.0497990\pi\)
\(30\) −7.15859 1.37970i −1.30697 0.251898i
\(31\) 5.55612 + 4.36938i 0.997908 + 0.784763i 0.976612 0.215010i \(-0.0689783\pi\)
0.0212960 + 0.999773i \(0.493221\pi\)
\(32\) 1.42503 5.87407i 0.251913 1.03840i
\(33\) −0.336535 + 0.972353i −0.0585832 + 0.169265i
\(34\) −3.52680 + 2.26654i −0.604842 + 0.388708i
\(35\) 1.11156 8.42081i 0.187888 1.42338i
\(36\) −2.06729 2.38578i −0.344548 0.397629i
\(37\) −1.57628 1.50298i −0.259139 0.247088i 0.549360 0.835585i \(-0.314871\pi\)
−0.808499 + 0.588497i \(0.799720\pi\)
\(38\) 4.64460 + 3.65255i 0.753453 + 0.592522i
\(39\) −0.440543 1.27287i −0.0705434 0.203822i
\(40\) 8.39551 0.801674i 1.32745 0.126756i
\(41\) −9.25775 2.71832i −1.44582 0.424531i −0.537661 0.843161i \(-0.680692\pi\)
−0.908157 + 0.418630i \(0.862510\pi\)
\(42\) 4.30010 4.19607i 0.663519 0.647468i
\(43\) 0.528860 + 3.67830i 0.0806505 + 0.560936i 0.989580 + 0.143986i \(0.0459920\pi\)
−0.908929 + 0.416950i \(0.863099\pi\)
\(44\) 0.154556 3.24453i 0.0233002 0.489131i
\(45\) −1.60519 + 2.78027i −0.239287 + 0.414458i
\(46\) −10.6635 2.21314i −1.57224 0.326309i
\(47\) 2.39235 + 4.14367i 0.348960 + 0.604417i 0.986065 0.166360i \(-0.0532015\pi\)
−0.637105 + 0.770777i \(0.719868\pi\)
\(48\) −0.292816 0.188182i −0.0422644 0.0271617i
\(49\) 5.17642 + 4.71218i 0.739489 + 0.673168i
\(50\) −5.00591 10.9614i −0.707943 1.55018i
\(51\) 0.435242 + 1.79409i 0.0609461 + 0.251223i
\(52\) 2.46645 + 3.46365i 0.342035 + 0.480321i
\(53\) 0.285211 + 0.824064i 0.0391768 + 0.113194i 0.962893 0.269884i \(-0.0869853\pi\)
−0.923716 + 0.383078i \(0.874864\pi\)
\(54\) −2.10820 + 0.843996i −0.286890 + 0.114853i
\(55\) −3.16949 + 0.930647i −0.427374 + 0.125488i
\(56\) −3.40542 + 6.05900i −0.455068 + 0.809668i
\(57\) 2.18893 1.40674i 0.289931 0.186327i
\(58\) 5.83937 + 3.01040i 0.766747 + 0.395285i
\(59\) 12.3770 2.38548i 1.61135 0.310563i 0.697493 0.716592i \(-0.254299\pi\)
0.913860 + 0.406029i \(0.133087\pi\)
\(60\) 2.38933 9.84894i 0.308461 1.27149i
\(61\) 1.38202 0.553276i 0.176949 0.0708397i −0.281496 0.959562i \(-0.590831\pi\)
0.458445 + 0.888723i \(0.348406\pi\)
\(62\) −10.5114 + 12.1308i −1.33495 + 1.54061i
\(63\) −1.12682 2.39380i −0.141966 0.301590i
\(64\) 12.5022 + 3.67097i 1.56277 + 0.458872i
\(65\) 2.50829 3.52239i 0.311115 0.436899i
\(66\) −2.16922 0.868424i −0.267012 0.106896i
\(67\) 7.78071 4.01123i 0.950565 0.490050i 0.0880691 0.996114i \(-0.471930\pi\)
0.862496 + 0.506064i \(0.168900\pi\)
\(68\) −2.91396 5.04714i −0.353370 0.612055i
\(69\) −2.45681 + 4.11875i −0.295765 + 0.495839i
\(70\) 18.9808 + 3.43124i 2.26864 + 0.410111i
\(71\) 9.87122 + 6.34385i 1.17150 + 0.752876i 0.973804 0.227387i \(-0.0730184\pi\)
0.197694 + 0.980264i \(0.436655\pi\)
\(72\) 2.06497 1.62391i 0.243359 0.191380i
\(73\) −4.79757 0.458112i −0.561513 0.0536180i −0.189559 0.981869i \(-0.560706\pi\)
−0.371954 + 0.928251i \(0.621312\pi\)
\(74\) 3.57952 3.41307i 0.416111 0.396761i
\(75\) −5.28249 + 0.504416i −0.609969 + 0.0582450i
\(76\) −5.37905 + 6.20775i −0.617019 + 0.712078i
\(77\) 0.860598 2.58272i 0.0980742 0.294329i
\(78\) 2.93484 0.861746i 0.332305 0.0975735i
\(79\) −0.772892 + 2.23312i −0.0869571 + 0.251246i −0.980092 0.198542i \(-0.936379\pi\)
0.893135 + 0.449788i \(0.148501\pi\)
\(80\) −0.0531700 1.11617i −0.00594458 0.124792i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) 7.16627 20.7056i 0.791382 2.28655i
\(83\) −4.20692 + 1.23526i −0.461769 + 0.135588i −0.504339 0.863506i \(-0.668264\pi\)
0.0425698 + 0.999093i \(0.486446\pi\)
\(84\) 5.54210 + 6.24854i 0.604693 + 0.681771i
\(85\) −3.88121 + 4.47916i −0.420977 + 0.485833i
\(86\) −8.40062 + 0.802162i −0.905862 + 0.0864994i
\(87\) 2.09379 1.99642i 0.224477 0.214039i
\(88\) 2.69081 + 0.256941i 0.286841 + 0.0273900i
\(89\) −10.4693 + 8.23315i −1.10974 + 0.872712i −0.992723 0.120418i \(-0.961577\pi\)
−0.117020 + 0.993130i \(0.537334\pi\)
\(90\) −6.13302 3.94145i −0.646477 0.415466i
\(91\) 1.20441 + 3.35399i 0.126256 + 0.351594i
\(92\) 3.77844 14.6606i 0.393929 1.52847i
\(93\) 3.53419 + 6.12139i 0.366478 + 0.634759i
\(94\) −9.65757 + 4.97882i −0.996102 + 0.513526i
\(95\) 7.75498 + 3.10463i 0.795644 + 0.318528i
\(96\) 3.50612 4.92366i 0.357842 0.502519i
\(97\) −15.6657 4.59987i −1.59061 0.467046i −0.637698 0.770287i \(-0.720113\pi\)
−0.952914 + 0.303241i \(0.901931\pi\)
\(98\) −11.2479 + 11.2325i −1.13621 + 1.13465i
\(99\) −0.673815 + 0.777624i −0.0677210 + 0.0781542i
\(100\) 15.5518 6.22601i 1.55518 0.622601i
\(101\) 1.02686 4.23277i 0.102176 0.421176i −0.897632 0.440745i \(-0.854714\pi\)
0.999809 + 0.0195691i \(0.00622942\pi\)
\(102\) −4.11656 + 0.793401i −0.407600 + 0.0785584i
\(103\) 12.5323 + 6.46087i 1.23485 + 0.636608i 0.947051 0.321083i \(-0.104047\pi\)
0.287797 + 0.957691i \(0.407077\pi\)
\(104\) −2.97673 + 1.91303i −0.291892 + 0.187588i
\(105\) 4.16164 7.40448i 0.406134 0.722604i
\(106\) −1.90004 + 0.557901i −0.184548 + 0.0541882i
\(107\) 8.73389 3.49652i 0.844337 0.338022i 0.0911576 0.995836i \(-0.470943\pi\)
0.753180 + 0.657815i \(0.228519\pi\)
\(108\) −1.03250 2.98321i −0.0993523 0.287059i
\(109\) 7.18570 + 10.0909i 0.688266 + 0.966534i 0.999867 + 0.0163207i \(0.00519528\pi\)
−0.311601 + 0.950213i \(0.600865\pi\)
\(110\) −1.76851 7.28990i −0.168621 0.695064i
\(111\) −0.904767 1.98116i −0.0858767 0.188044i
\(112\) 0.780421 + 0.488896i 0.0737429 + 0.0461963i
\(113\) 0.789011 + 0.507067i 0.0742239 + 0.0477008i 0.577226 0.816584i \(-0.304135\pi\)
−0.503003 + 0.864285i \(0.667771\pi\)
\(114\) 2.95438 + 5.11713i 0.276703 + 0.479264i
\(115\) −15.3460 + 1.24514i −1.43102 + 0.116110i
\(116\) −4.56641 + 7.90925i −0.423980 + 0.734355i
\(117\) 0.0640903 1.34542i 0.00592515 0.124384i
\(118\) 4.07360 + 28.3325i 0.375005 + 2.60822i
\(119\) −1.20632 4.73310i −0.110583 0.433882i
\(120\) 8.09208 + 2.37605i 0.738702 + 0.216902i
\(121\) 9.89626 0.944978i 0.899660 0.0859071i
\(122\) 1.10566 + 3.19460i 0.100102 + 0.289226i
\(123\) −7.58430 5.96436i −0.683854 0.537788i
\(124\) −16.1492 15.3982i −1.45024 1.38280i
\(125\) −0.644400 0.743678i −0.0576369 0.0665165i
\(126\) 5.55159 2.29731i 0.494575 0.204661i
\(127\) −6.29383 + 4.04480i −0.558487 + 0.358918i −0.789231 0.614097i \(-0.789521\pi\)
0.230743 + 0.973015i \(0.425884\pi\)
\(128\) −5.72384 + 16.5380i −0.505921 + 1.46176i
\(129\) −0.876111 + 3.61138i −0.0771372 + 0.317964i
\(130\) 7.71880 + 6.07013i 0.676984 + 0.532386i
\(131\) −17.3449 3.34295i −1.51543 0.292075i −0.637343 0.770580i \(-0.719967\pi\)
−0.878085 + 0.478505i \(0.841179\pi\)
\(132\) 1.34935 2.95467i 0.117446 0.257171i
\(133\) −5.74796 + 3.78856i −0.498412 + 0.328510i
\(134\) 8.25794 + 18.0824i 0.713377 + 1.56208i
\(135\) −2.52353 + 1.98452i −0.217191 + 0.170801i
\(136\) 4.31068 2.22231i 0.369638 0.190562i
\(137\) −8.51987 + 14.7568i −0.727901 + 1.26076i 0.229867 + 0.973222i \(0.426171\pi\)
−0.957769 + 0.287540i \(0.907163\pi\)
\(138\) −9.07707 6.01781i −0.772691 0.512270i
\(139\) 19.1265 1.62229 0.811144 0.584847i \(-0.198845\pi\)
0.811144 + 0.584847i \(0.198845\pi\)
\(140\) −6.02001 + 26.1292i −0.508784 + 2.20832i
\(141\) 0.680934 + 4.73600i 0.0573450 + 0.398843i
\(142\) −15.4563 + 21.7054i −1.29707 + 1.82147i
\(143\) 1.00305 0.956403i 0.0838790 0.0799785i
\(144\) −0.201901 0.283531i −0.0168251 0.0236276i
\(145\) 9.11988 + 1.75771i 0.757365 + 0.145970i
\(146\) 1.55752 10.8328i 0.128901 0.896529i
\(147\) 3.05429 + 6.29852i 0.251913 + 0.519493i
\(148\) 4.50251 + 5.19618i 0.370104 + 0.427123i
\(149\) 8.62503 + 4.44651i 0.706590 + 0.364272i 0.773768 0.633469i \(-0.218369\pi\)
−0.0671786 + 0.997741i \(0.521400\pi\)
\(150\) −0.573380 12.0367i −0.0468163 0.982795i
\(151\) −19.1325 + 3.68749i −1.55698 + 0.300084i −0.893832 0.448401i \(-0.851994\pi\)
−0.663151 + 0.748485i \(0.730781\pi\)
\(152\) −4.94705 4.71700i −0.401258 0.382599i
\(153\) −0.262732 + 1.82734i −0.0212406 + 0.147732i
\(154\) 5.76538 + 2.23116i 0.464588 + 0.179792i
\(155\) −9.42665 + 20.6415i −0.757167 + 1.65796i
\(156\) 1.00247 + 4.13223i 0.0802616 + 0.330843i
\(157\) −20.6442 1.97128i −1.64758 0.157325i −0.770427 0.637528i \(-0.779957\pi\)
−0.877158 + 0.480203i \(0.840563\pi\)
\(158\) −4.98187 1.99444i −0.396336 0.158669i
\(159\) −0.0414926 + 0.871037i −0.00329058 + 0.0690778i
\(160\) 19.4050 1.53410
\(161\) 6.37375 10.9716i 0.502322 0.864681i
\(162\) −2.27087 −0.178416
\(163\) 0.115468 2.42398i 0.00904419 0.189861i −0.989824 0.142297i \(-0.954551\pi\)
0.998868 0.0475639i \(-0.0151458\pi\)
\(164\) 28.2771 + 11.3205i 2.20807 + 0.883979i
\(165\) −3.28834 0.313998i −0.255997 0.0244447i
\(166\) −2.34737 9.67599i −0.182191 0.751003i
\(167\) 9.11521 19.9595i 0.705356 1.54452i −0.127997 0.991775i \(-0.540855\pi\)
0.833353 0.552740i \(-0.186418\pi\)
\(168\) −5.41339 + 4.35932i −0.417652 + 0.336329i
\(169\) 1.59190 11.0719i 0.122454 0.851683i
\(170\) −9.74068 9.28772i −0.747076 0.712335i
\(171\) 2.55496 0.492429i 0.195383 0.0376570i
\(172\) −0.558193 11.7179i −0.0425618 0.893482i
\(173\) −2.95601 1.52393i −0.224742 0.115862i 0.342179 0.939635i \(-0.388835\pi\)
−0.566921 + 0.823772i \(0.691865\pi\)
\(174\) 4.30223 + 4.96504i 0.326151 + 0.376399i
\(175\) 13.9598 1.49598i 1.05526 0.113086i
\(176\) 0.0509695 0.354501i 0.00384197 0.0267215i
\(177\) 12.3770 + 2.38548i 0.930315 + 0.179304i
\(178\) −17.5440 24.6371i −1.31498 1.84663i
\(179\) 15.0250 14.3263i 1.12302 1.07080i 0.126128 0.992014i \(-0.459745\pi\)
0.996892 0.0787830i \(-0.0251034\pi\)
\(180\) 5.87866 8.25542i 0.438169 0.615323i
\(181\) −2.37325 16.5063i −0.176402 1.22691i −0.865004 0.501766i \(-0.832684\pi\)
0.688601 0.725140i \(-0.258225\pi\)
\(182\) −7.73798 + 2.36955i −0.573577 + 0.175642i
\(183\) 1.48865 0.110044
\(184\) 12.0366 + 3.72123i 0.887351 + 0.274333i
\(185\) 3.49607 6.05538i 0.257036 0.445200i
\(186\) −14.2670 + 7.35514i −1.04611 + 0.539305i
\(187\) −1.49316 + 1.17423i −0.109191 + 0.0858685i
\(188\) −6.27464 13.7395i −0.457625 1.00206i
\(189\) −0.156422 2.64112i −0.0113780 0.192113i
\(190\) −7.88015 + 17.2551i −0.571686 + 1.25182i
\(191\) 24.4293 + 4.70837i 1.76764 + 0.340686i 0.966281 0.257491i \(-0.0828959\pi\)
0.801364 + 0.598177i \(0.204108\pi\)
\(192\) 10.2423 + 8.05461i 0.739172 + 0.581291i
\(193\) 5.91903 24.3986i 0.426061 1.75625i −0.203284 0.979120i \(-0.565161\pi\)
0.629344 0.777127i \(-0.283324\pi\)
\(194\) 12.1266 35.0374i 0.870636 2.51554i
\(195\) 3.63775 2.33784i 0.260505 0.167416i
\(196\) −14.8531 16.3615i −1.06094 1.16868i
\(197\) 15.6651 + 18.0785i 1.11610 + 1.28804i 0.953514 + 0.301348i \(0.0974365\pi\)
0.162581 + 0.986695i \(0.448018\pi\)
\(198\) −1.69107 1.61243i −0.120179 0.114591i
\(199\) −2.11554 1.66368i −0.149967 0.117935i 0.540357 0.841436i \(-0.318289\pi\)
−0.690323 + 0.723501i \(0.742532\pi\)
\(200\) 4.55942 + 13.1736i 0.322400 + 0.931513i
\(201\) 8.71419 0.832104i 0.614651 0.0586921i
\(202\) 9.49021 + 2.78658i 0.667729 + 0.196063i
\(203\) −5.47822 + 5.34570i −0.384496 + 0.375194i
\(204\) −0.829401 5.76861i −0.0580697 0.403883i
\(205\) 1.47388 30.9405i 0.102940 2.16098i
\(206\) −16.0093 + 27.7289i −1.11542 + 1.93197i
\(207\) −3.81161 + 2.91061i −0.264925 + 0.202301i
\(208\) 0.234417 + 0.406022i 0.0162539 + 0.0281526i
\(209\) 2.25229 + 1.44746i 0.155794 + 0.100123i
\(210\) 16.3459 + 10.2399i 1.12797 + 0.706619i
\(211\) −7.94044 17.3871i −0.546643 1.19698i −0.958332 0.285656i \(-0.907788\pi\)
0.411689 0.911324i \(-0.364939\pi\)
\(212\) −0.649006 2.67524i −0.0445739 0.183736i
\(213\) 6.80635 + 9.55819i 0.466364 + 0.654916i
\(214\) 6.98743 + 20.1888i 0.477651 + 1.38008i
\(215\) −11.0756 + 4.43400i −0.755349 + 0.302396i
\(216\) 2.52060 0.740115i 0.171505 0.0503585i
\(217\) −9.53712 16.0865i −0.647422 1.09203i
\(218\) −23.6656 + 15.2089i −1.60284 + 1.03008i
\(219\) −4.28365 2.20837i −0.289462 0.149228i
\(220\) 10.2395 1.97350i 0.690348 0.133054i
\(221\) 0.586248 2.41655i 0.0394353 0.162555i
\(222\) 4.59162 1.83821i 0.308170 0.123372i
\(223\) 2.20216 2.54142i 0.147467 0.170186i −0.677210 0.735790i \(-0.736811\pi\)
0.824677 + 0.565603i \(0.191357\pi\)
\(224\) −9.12517 + 13.1331i −0.609701 + 0.877493i
\(225\) −5.09156 1.49502i −0.339438 0.0996679i
\(226\) −1.23543 + 1.73492i −0.0821796 + 0.115405i
\(227\) −3.99521 1.59944i −0.265171 0.106159i 0.235267 0.971931i \(-0.424404\pi\)
−0.500438 + 0.865772i \(0.666828\pi\)
\(228\) −7.30092 + 3.76389i −0.483515 + 0.249269i
\(229\) 3.68005 + 6.37403i 0.243184 + 0.421207i 0.961620 0.274386i \(-0.0884747\pi\)
−0.718435 + 0.695594i \(0.755141\pi\)
\(230\) −1.16618 34.9438i −0.0768954 2.30412i
\(231\) 1.75885 2.07786i 0.115724 0.136713i
\(232\) −6.39355 4.10889i −0.419757 0.269762i
\(233\) 12.2738 9.65221i 0.804082 0.632337i −0.129144 0.991626i \(-0.541223\pi\)
0.933227 + 0.359289i \(0.116981\pi\)
\(234\) 3.04489 + 0.290751i 0.199050 + 0.0190070i
\(235\) −11.1171 + 10.6001i −0.725197 + 0.691474i
\(236\) −39.6112 + 3.78241i −2.57847 + 0.246214i
\(237\) −1.54750 + 1.78591i −0.100521 + 0.116007i
\(238\) 10.8664 2.22487i 0.704364 0.144217i
\(239\) 26.5273 7.78911i 1.71591 0.503836i 0.731816 0.681502i \(-0.238673\pi\)
0.984091 + 0.177667i \(0.0568548\pi\)
\(240\) 0.365479 1.05598i 0.0235916 0.0681633i
\(241\) −0.685847 14.3977i −0.0441793 0.927438i −0.906793 0.421575i \(-0.861477\pi\)
0.862614 0.505862i \(-0.168826\pi\)
\(242\) 1.07418 + 22.5497i 0.0690507 + 1.44955i
\(243\) −0.327068 + 0.945001i −0.0209814 + 0.0606218i
\(244\) −4.50906 + 1.32398i −0.288663 + 0.0847592i
\(245\) −10.7835 + 19.7164i −0.688934 + 1.25963i
\(246\) 14.3484 16.5590i 0.914822 1.05576i
\(247\) −3.48887 + 0.333146i −0.221991 + 0.0211976i
\(248\) 13.4388 12.8139i 0.853365 0.813682i
\(249\) −4.36467 0.416775i −0.276599 0.0264120i
\(250\) 1.75651 1.38133i 0.111091 0.0873632i
\(251\) −21.0371 13.5197i −1.32785 0.853358i −0.331905 0.943313i \(-0.607691\pi\)
−0.995946 + 0.0899546i \(0.971328\pi\)
\(252\) 2.82276 + 7.86074i 0.177817 + 0.495180i
\(253\) −4.90512 0.538966i −0.308382 0.0338845i
\(254\) −8.49474 14.7133i −0.533007 0.923196i
\(255\) −5.26793 + 2.71581i −0.329891 + 0.170070i
\(256\) −12.7012 5.08480i −0.793826 0.317800i
\(257\) 10.8832 15.2833i 0.678874 0.953345i −0.321106 0.947043i \(-0.604055\pi\)
0.999980 0.00630172i \(-0.00200591\pi\)
\(258\) −8.09700 2.37749i −0.504097 0.148016i
\(259\) 2.45420 + 5.21365i 0.152497 + 0.323961i
\(260\) −8.93937 + 10.3166i −0.554396 + 0.639807i
\(261\) 2.68580 1.07523i 0.166247 0.0665551i
\(262\) 9.45694 38.9820i 0.584252 2.40832i
\(263\) 4.32067 0.832740i 0.266424 0.0513490i −0.0542897 0.998525i \(-0.517289\pi\)
0.320714 + 0.947176i \(0.396077\pi\)
\(264\) 2.40257 + 1.23861i 0.147868 + 0.0762311i
\(265\) −2.35511 + 1.51354i −0.144673 + 0.0929760i
\(266\) −7.97249 13.4474i −0.488825 0.824515i
\(267\) −12.7793 + 3.75234i −0.782081 + 0.229640i
\(268\) −25.6549 + 10.2707i −1.56712 + 0.627380i
\(269\) −6.46840 18.6892i −0.394385 1.13950i −0.951123 0.308813i \(-0.900068\pi\)
0.556737 0.830689i \(-0.312053\pi\)
\(270\) −4.22881 5.93853i −0.257357 0.361407i
\(271\) −3.35276 13.8202i −0.203665 0.839520i −0.978314 0.207128i \(-0.933588\pi\)
0.774648 0.632392i \(-0.217927\pi\)
\(272\) −0.266940 0.584517i −0.0161856 0.0354415i
\(273\) −0.128419 + 3.56137i −0.00777229 + 0.215544i
\(274\) −32.5523 20.9201i −1.96655 1.26383i
\(275\) −2.73005 4.72859i −0.164628 0.285145i
\(276\) 8.95656 12.2061i 0.539122 0.734720i
\(277\) 2.12496 3.68055i 0.127677 0.221143i −0.795099 0.606479i \(-0.792581\pi\)
0.922776 + 0.385337i \(0.125915\pi\)
\(278\) −2.06666 + 43.3845i −0.123950 + 2.60203i
\(279\) 1.00593 + 6.99643i 0.0602237 + 0.418865i
\(280\) −21.4808 6.03860i −1.28373 0.360875i
\(281\) 0.294564 + 0.0864917i 0.0175722 + 0.00515966i 0.290507 0.956873i \(-0.406176\pi\)
−0.272935 + 0.962033i \(0.587994\pi\)
\(282\) −10.8162 + 1.03282i −0.644096 + 0.0615038i
\(283\) 6.42808 + 18.5727i 0.382110 + 1.10403i 0.958065 + 0.286552i \(0.0925092\pi\)
−0.575955 + 0.817482i \(0.695370\pi\)
\(284\) −29.1171 22.8979i −1.72778 1.35874i
\(285\) 6.04560 + 5.76447i 0.358111 + 0.341458i
\(286\) 2.06102 + 2.37855i 0.121871 + 0.140646i
\(287\) 20.2472 + 15.5473i 1.19515 + 0.917727i
\(288\) 5.08491 3.26788i 0.299631 0.192561i
\(289\) 4.44544 12.8443i 0.261497 0.755545i
\(290\) −4.97243 + 20.4966i −0.291991 + 1.20360i
\(291\) −12.8339 10.0927i −0.752339 0.591646i
\(292\) 14.9391 + 2.87927i 0.874243 + 0.168497i
\(293\) −8.80366 + 19.2773i −0.514316 + 1.12619i 0.457232 + 0.889348i \(0.348841\pi\)
−0.971547 + 0.236846i \(0.923886\pi\)
\(294\) −14.6169 + 6.24745i −0.852476 + 0.364359i
\(295\) 16.8103 + 36.8094i 0.978732 + 2.14312i
\(296\) −4.49747 + 3.53685i −0.261410 + 0.205575i
\(297\) −0.914562 + 0.471490i −0.0530683 + 0.0273586i
\(298\) −11.0179 + 19.0836i −0.638253 + 1.10549i
\(299\) 5.48345 3.41466i 0.317116 0.197475i
\(300\) 16.7518 0.967164
\(301\) 2.20740 9.58096i 0.127232 0.552237i
\(302\) −6.29701 43.7967i −0.362352 2.52021i
\(303\) 2.52646 3.54792i 0.145141 0.203823i
\(304\) −0.655469 + 0.624988i −0.0375937 + 0.0358455i
\(305\) 2.77217 + 3.89297i 0.158734 + 0.222911i
\(306\) −4.11656 0.793401i −0.235328 0.0453557i
\(307\) −1.71133 + 11.9026i −0.0976708 + 0.679316i 0.880884 + 0.473331i \(0.156949\pi\)
−0.978555 + 0.205984i \(0.933960\pi\)
\(308\) −3.47947 + 7.85806i −0.198261 + 0.447754i
\(309\) 9.23336 + 10.6559i 0.525267 + 0.606191i
\(310\) −45.8024 23.6128i −2.60140 1.34112i
\(311\) −0.553062 11.6102i −0.0313612 0.658354i −0.958749 0.284253i \(-0.908254\pi\)
0.927388 0.374101i \(-0.122049\pi\)
\(312\) −3.47450 + 0.669655i −0.196705 + 0.0379118i
\(313\) −11.9010 11.3476i −0.672684 0.641403i 0.274689 0.961533i \(-0.411425\pi\)
−0.947374 + 0.320130i \(0.896273\pi\)
\(314\) 6.70209 46.6141i 0.378221 2.63058i
\(315\) 6.61550 5.32736i 0.372741 0.300163i
\(316\) 3.09895 6.78575i 0.174330 0.381728i
\(317\) 3.94253 + 16.2513i 0.221434 + 0.912765i 0.968699 + 0.248238i \(0.0798516\pi\)
−0.747265 + 0.664527i \(0.768633\pi\)
\(318\) −1.97129 0.188235i −0.110544 0.0105557i
\(319\) 2.76354 + 1.10635i 0.154728 + 0.0619439i
\(320\) −1.99041 + 41.7838i −0.111267 + 2.33579i
\(321\) 9.40779 0.525092
\(322\) 24.1981 + 15.6430i 1.34850 + 0.871752i
\(323\) 4.80361 0.267280
\(324\) 0.150208 3.15326i 0.00834490 0.175181i
\(325\) 6.63560 + 2.65649i 0.368077 + 0.147356i
\(326\) 5.48583 + 0.523833i 0.303832 + 0.0290124i
\(327\) 2.92056 + 12.0387i 0.161508 + 0.665743i
\(328\) −10.5295 + 23.0564i −0.581395 + 1.27308i
\(329\) −1.94627 12.5086i −0.107301 0.689623i
\(330\) 1.06755 7.42499i 0.0587669 0.408732i
\(331\) −19.5059 18.5988i −1.07214 1.02228i −0.999690 0.0249106i \(-0.992070\pi\)
−0.0724496 0.997372i \(-0.523082\pi\)
\(332\) 13.5911 2.61946i 0.745907 0.143762i
\(333\) −0.103633 2.17552i −0.00567903 0.119218i
\(334\) 44.2892 + 22.8327i 2.42340 + 1.24935i
\(335\) 18.4036 + 21.2389i 1.00550 + 1.16040i
\(336\) 0.542814 + 0.743928i 0.0296129 + 0.0405846i
\(337\) −0.0482969 + 0.335912i −0.00263090 + 0.0182983i −0.991095 0.133160i \(-0.957488\pi\)
0.988464 + 0.151458i \(0.0483968\pi\)
\(338\) 24.9423 + 4.80723i 1.35668 + 0.261479i
\(339\) 0.544035 + 0.763990i 0.0295479 + 0.0414943i
\(340\) 13.5410 12.9113i 0.734361 0.700212i
\(341\) −4.21873 + 5.92438i −0.228457 + 0.320823i
\(342\) 0.840904 + 5.84862i 0.0454709 + 0.316257i
\(343\) −8.27292 16.5698i −0.446696 0.894686i
\(344\) 9.76232 0.526349
\(345\) −14.7095 4.54758i −0.791933 0.244834i
\(346\) 3.77613 6.54044i 0.203006 0.351616i
\(347\) −18.8162 + 9.70043i −1.01011 + 0.520747i −0.882118 0.471029i \(-0.843883\pi\)
−0.127990 + 0.991776i \(0.540852\pi\)
\(348\) −7.17888 + 5.64553i −0.384828 + 0.302632i
\(349\) 3.73383 + 8.17594i 0.199867 + 0.437648i 0.982853 0.184392i \(-0.0590315\pi\)
−0.782986 + 0.622040i \(0.786304\pi\)
\(350\) 1.88494 + 31.8265i 0.100755 + 1.70120i
\(351\) 0.559542 1.22523i 0.0298661 0.0653977i
\(352\) 6.10701 + 1.17703i 0.325505 + 0.0627359i
\(353\) −2.36900 1.86300i −0.126089 0.0991577i 0.553123 0.833100i \(-0.313436\pi\)
−0.679212 + 0.733942i \(0.737678\pi\)
\(354\) −6.74833 + 27.8170i −0.358670 + 1.47846i
\(355\) −12.3208 + 35.5985i −0.653919 + 1.88937i
\(356\) 35.3707 22.7314i 1.87465 1.20476i
\(357\) 0.639206 4.84240i 0.0338304 0.256287i
\(358\) 30.8727 + 35.6291i 1.63168 + 1.88305i
\(359\) −12.4006 11.8239i −0.654479 0.624044i 0.288270 0.957549i \(-0.406920\pi\)
−0.942748 + 0.333505i \(0.891769\pi\)
\(360\) 6.62934 + 5.21337i 0.349397 + 0.274769i
\(361\) 3.99994 + 11.5571i 0.210523 + 0.608266i
\(362\) 37.6977 3.59969i 1.98134 0.189195i
\(363\) 9.53858 + 2.80078i 0.500646 + 0.147003i
\(364\) −2.77845 10.9015i −0.145630 0.571392i
\(365\) −2.20190 15.3146i −0.115253 0.801602i
\(366\) −0.160852 + 3.37670i −0.00840787 + 0.176503i
\(367\) −6.01992 + 10.4268i −0.314237 + 0.544275i −0.979275 0.202535i \(-0.935082\pi\)
0.665038 + 0.746810i \(0.268415\pi\)
\(368\) 0.568378 1.56955i 0.0296288 0.0818184i
\(369\) −4.82429 8.35592i −0.251143 0.434992i
\(370\) 13.3576 + 8.58442i 0.694429 + 0.446283i
\(371\) 0.0831398 2.30566i 0.00431640 0.119704i
\(372\) −9.26943 20.2972i −0.480598 1.05236i
\(373\) −0.701108 2.89001i −0.0363020 0.149639i 0.950776 0.309879i \(-0.100288\pi\)
−0.987078 + 0.160240i \(0.948773\pi\)
\(374\) −2.50217 3.51380i −0.129384 0.181695i
\(375\) −0.321844 0.929906i −0.0166199 0.0480201i
\(376\) 11.6691 4.67160i 0.601788 0.240919i
\(377\) −3.73891 + 1.09784i −0.192564 + 0.0565418i
\(378\) 6.00775 0.0694320i 0.309005 0.00357120i
\(379\) −4.10679 + 2.63928i −0.210952 + 0.135570i −0.641850 0.766830i \(-0.721833\pi\)
0.430899 + 0.902400i \(0.358197\pi\)
\(380\) −23.4387 12.0835i −1.20238 0.619870i
\(381\) −7.34629 + 1.41588i −0.376362 + 0.0725378i
\(382\) −13.3196 + 54.9042i −0.681490 + 2.80914i
\(383\) −6.21183 + 2.48684i −0.317410 + 0.127072i −0.524896 0.851166i \(-0.675896\pi\)
0.207487 + 0.978238i \(0.433472\pi\)
\(384\) −11.4604 + 13.2260i −0.584835 + 0.674935i
\(385\) 8.70915 + 0.730165i 0.443859 + 0.0372126i
\(386\) 54.7035 + 16.0624i 2.78434 + 0.817555i
\(387\) −2.15557 + 3.02707i −0.109574 + 0.153875i
\(388\) 47.8498 + 19.1562i 2.42920 + 0.972507i
\(389\) −10.6918 + 5.51198i −0.542093 + 0.279469i −0.707448 0.706766i \(-0.750154\pi\)
0.165354 + 0.986234i \(0.447123\pi\)
\(390\) 4.90985 + 8.50410i 0.248620 + 0.430622i
\(391\) −7.92648 + 3.94455i −0.400860 + 0.199485i
\(392\) 14.1882 11.6984i 0.716614 0.590859i
\(393\) −14.8600 9.54992i −0.749586 0.481730i
\(394\) −42.7001 + 33.5797i −2.15120 + 1.69172i
\(395\) −7.55206 0.721135i −0.379985 0.0362842i
\(396\) 2.35084 2.24152i 0.118134 0.112641i
\(397\) −17.1587 + 1.63846i −0.861171 + 0.0822318i −0.516289 0.856414i \(-0.672687\pi\)
−0.344882 + 0.938646i \(0.612081\pi\)
\(398\) 4.00231 4.61891i 0.200618 0.231525i
\(399\) −6.74429 + 1.38088i −0.337637 + 0.0691302i
\(400\) 1.77223 0.520373i 0.0886114 0.0260187i
\(401\) 6.11602 17.6711i 0.305419 0.882451i −0.682962 0.730454i \(-0.739308\pi\)
0.988381 0.151997i \(-0.0485704\pi\)
\(402\) 0.945870 + 19.8562i 0.0471757 + 0.990340i
\(403\) −0.453014 9.50994i −0.0225662 0.473724i
\(404\) −4.49709 + 12.9935i −0.223739 + 0.646451i
\(405\) −3.08033 + 0.904467i −0.153063 + 0.0449433i
\(406\) −11.5337 13.0038i −0.572407 0.645370i
\(407\) 1.46756 1.69365i 0.0727442 0.0839512i
\(408\) 4.82785 0.461004i 0.239014 0.0228231i
\(409\) 7.15324 6.82060i 0.353705 0.337257i −0.492306 0.870422i \(-0.663846\pi\)
0.846011 + 0.533165i \(0.178998\pi\)
\(410\) 70.0229 + 6.68638i 3.45819 + 0.330217i
\(411\) −13.3941 + 10.5333i −0.660684 + 0.519568i
\(412\) −37.4446 24.0642i −1.84476 1.18556i
\(413\) −32.8173 5.93253i −1.61483 0.291921i
\(414\) −6.19026 8.96035i −0.304235 0.440377i
\(415\) −7.03798 12.1901i −0.345481 0.598390i
\(416\) −7.23650 + 3.73068i −0.354799 + 0.182911i
\(417\) 17.7564 + 7.10860i 0.869535 + 0.348109i
\(418\) −3.52662 + 4.95244i −0.172493 + 0.242232i
\(419\) 24.2543 + 7.12171i 1.18490 + 0.347918i 0.814062 0.580778i \(-0.197252\pi\)
0.370840 + 0.928697i \(0.379070\pi\)
\(420\) −15.3000 + 22.0201i −0.746564 + 1.07447i
\(421\) 2.99976 3.46191i 0.146199 0.168723i −0.677927 0.735130i \(-0.737121\pi\)
0.824126 + 0.566407i \(0.191667\pi\)
\(422\) 40.2971 16.1325i 1.96163 0.785320i
\(423\) −1.12804 + 4.64983i −0.0548470 + 0.226082i
\(424\) 2.24942 0.433541i 0.109242 0.0210546i
\(425\) −8.70750 4.48903i −0.422376 0.217750i
\(426\) −22.4162 + 14.4060i −1.08607 + 0.697974i
\(427\) −3.93834 + 0.0455157i −0.190590 + 0.00220266i
\(428\) −28.4958 + 8.36713i −1.37740 + 0.404440i
\(429\) 1.28666 0.515099i 0.0621203 0.0248692i
\(430\) −8.86087 25.6018i −0.427309 1.23463i
\(431\) 5.05131 + 7.09357i 0.243313 + 0.341685i 0.918115 0.396313i \(-0.129711\pi\)
−0.674802 + 0.737998i \(0.735771\pi\)
\(432\) −0.0820610 0.338260i −0.00394816 0.0162745i
\(433\) 0.659342 + 1.44376i 0.0316860 + 0.0693826i 0.924813 0.380422i \(-0.124221\pi\)
−0.893127 + 0.449804i \(0.851494\pi\)
\(434\) 37.5195 19.8948i 1.80099 0.954981i
\(435\) 7.81333 + 5.02132i 0.374620 + 0.240754i
\(436\) −19.5533 33.8673i −0.936434 1.62195i
\(437\) 8.90771 + 8.73900i 0.426114 + 0.418043i
\(438\) 5.47210 9.47795i 0.261467 0.452874i
\(439\) 1.09469 22.9803i 0.0522466 1.09679i −0.808741 0.588165i \(-0.799851\pi\)
0.860988 0.508626i \(-0.169846\pi\)
\(440\) 1.23498 + 8.58948i 0.0588754 + 0.409487i
\(441\) 0.494579 + 6.98251i 0.0235514 + 0.332500i
\(442\) 5.41809 + 1.59090i 0.257712 + 0.0756712i
\(443\) 8.69270 0.830052i 0.413003 0.0394370i 0.113513 0.993537i \(-0.463790\pi\)
0.299490 + 0.954100i \(0.403184\pi\)
\(444\) 2.24877 + 6.49738i 0.106722 + 0.308352i
\(445\) −33.6104 26.4315i −1.59328 1.25297i
\(446\) 5.52675 + 5.26974i 0.261699 + 0.249530i
\(447\) 6.35460 + 7.33360i 0.300562 + 0.346867i
\(448\) −27.3429 20.9959i −1.29183 0.991963i
\(449\) 20.9776 13.4815i 0.989996 0.636232i 0.0578544 0.998325i \(-0.481574\pi\)
0.932142 + 0.362093i \(0.117938\pi\)
\(450\) 3.94129 11.3876i 0.185794 0.536818i
\(451\) 2.34058 9.64801i 0.110214 0.454307i
\(452\) −2.32734 1.83024i −0.109469 0.0860873i
\(453\) −19.1325 3.68749i −0.898925 0.173254i
\(454\) 4.05969 8.88949i 0.190531 0.417204i
\(455\) −9.55247 + 6.29616i −0.447827 + 0.295169i
\(456\) −2.83955 6.21774i −0.132974 0.291172i
\(457\) −23.6801 + 18.6223i −1.10771 + 0.871113i −0.992502 0.122229i \(-0.960996\pi\)
−0.115208 + 0.993341i \(0.536753\pi\)
\(458\) −14.8558 + 7.65870i −0.694166 + 0.357867i
\(459\) −0.923066 + 1.59880i −0.0430850 + 0.0746255i
\(460\) 48.5990 + 0.692064i 2.26594 + 0.0322677i
\(461\) −5.22520 −0.243362 −0.121681 0.992569i \(-0.538828\pi\)
−0.121681 + 0.992569i \(0.538828\pi\)
\(462\) 4.52316 + 4.21411i 0.210436 + 0.196058i
\(463\) 1.25238 + 8.71049i 0.0582030 + 0.404811i 0.998007 + 0.0630978i \(0.0200980\pi\)
−0.939804 + 0.341713i \(0.888993\pi\)
\(464\) −0.584107 + 0.820263i −0.0271165 + 0.0380798i
\(465\) −16.4231 + 15.6594i −0.761602 + 0.726186i
\(466\) 20.5678 + 28.8835i 0.952787 + 1.33800i
\(467\) 8.35578 + 1.61044i 0.386659 + 0.0745225i 0.378877 0.925447i \(-0.376310\pi\)
0.00778289 + 0.999970i \(0.497523\pi\)
\(468\) −0.605135 + 4.20881i −0.0279724 + 0.194552i
\(469\) −23.0286 + 2.46783i −1.06336 + 0.113954i
\(470\) −22.8429 26.3621i −1.05366 1.21599i
\(471\) −18.4327 9.50274i −0.849336 0.437863i
\(472\) −1.57558 33.0755i −0.0725220 1.52242i
\(473\) −3.75459 + 0.723638i −0.172636 + 0.0332729i
\(474\) −3.88375 3.70315i −0.178387 0.170091i
\(475\) −1.96501 + 13.6669i −0.0901607 + 0.627082i
\(476\) 2.37062 + 15.2359i 0.108657 + 0.698338i
\(477\) −0.362252 + 0.793222i −0.0165864 + 0.0363191i
\(478\) 14.8017 + 61.0133i 0.677012 + 2.79068i
\(479\) −36.7662 3.51075i −1.67989 0.160410i −0.788928 0.614486i \(-0.789363\pi\)
−0.890963 + 0.454076i \(0.849969\pi\)
\(480\) 18.0149 + 7.21209i 0.822266 + 0.329186i
\(481\) −0.139588 + 2.93031i −0.00636465 + 0.133610i
\(482\) 32.7323 1.49092
\(483\) 9.99490 7.81677i 0.454784 0.355675i
\(484\) −31.3829 −1.42650
\(485\) 2.49405 52.3567i 0.113249 2.37739i
\(486\) −2.10820 0.843996i −0.0956299 0.0382844i
\(487\) 18.6156 + 1.77758i 0.843554 + 0.0805496i 0.507879 0.861428i \(-0.330430\pi\)
0.335675 + 0.941978i \(0.391036\pi\)
\(488\) −0.921984 3.80047i −0.0417363 0.172039i
\(489\) 1.00810 2.20743i 0.0455879 0.0998235i
\(490\) −43.5573 26.5906i −1.96772 1.20124i
\(491\) −3.17497 + 22.0824i −0.143284 + 0.996563i 0.783613 + 0.621249i \(0.213374\pi\)
−0.926898 + 0.375315i \(0.877535\pi\)
\(492\) 22.0442 + 21.0191i 0.993829 + 0.947614i
\(493\) 5.24440 1.01078i 0.236196 0.0455230i
\(494\) −0.378694 7.94977i −0.0170383 0.357677i
\(495\) −2.93609 1.51366i −0.131967 0.0680339i
\(496\) −1.61115 1.85937i −0.0723429 0.0834882i
\(497\) −18.2990 25.0788i −0.820821 1.12494i
\(498\) 1.41698 9.85531i 0.0634964 0.441627i
\(499\) 16.4858 + 3.17738i 0.738006 + 0.142239i 0.544383 0.838837i \(-0.316764\pi\)
0.193623 + 0.981076i \(0.437976\pi\)
\(500\) 1.80189 + 2.53040i 0.0805831 + 0.113163i
\(501\) 15.8805 15.1420i 0.709488 0.676495i
\(502\) 32.9398 46.2575i 1.47018 2.06457i
\(503\) 2.14924 + 14.9483i 0.0958300 + 0.666512i 0.979949 + 0.199250i \(0.0638505\pi\)
−0.884119 + 0.467262i \(0.845240\pi\)
\(504\) −6.64581 + 2.03510i −0.296028 + 0.0906504i
\(505\) 13.9829 0.622232
\(506\) 1.75254 11.0680i 0.0779100 0.492034i
\(507\) 5.59287 9.68713i 0.248388 0.430221i
\(508\) 20.9924 10.8223i 0.931386 0.480163i
\(509\) −32.5338 + 25.5849i −1.44204 + 1.13403i −0.474817 + 0.880084i \(0.657486\pi\)
−0.967219 + 0.253945i \(0.918272\pi\)
\(510\) −5.59104 12.2427i −0.247575 0.542114i
\(511\) 11.4002 + 5.71144i 0.504316 + 0.252659i
\(512\) −1.63369 + 3.57729i −0.0721997 + 0.158095i
\(513\) 2.55496 + 0.492429i 0.112804 + 0.0217413i
\(514\) 33.4910 + 26.3376i 1.47723 + 1.16170i
\(515\) −10.6717 + 43.9895i −0.470253 + 1.93841i
\(516\) 3.83690 11.0860i 0.168910 0.488034i
\(517\) −4.14165 + 2.66168i −0.182150 + 0.117060i
\(518\) −12.0913 + 5.00351i −0.531260 + 0.219841i
\(519\) −2.17788 2.51341i −0.0955983 0.110326i
\(520\) −8.22143 7.83912i −0.360534 0.343768i
\(521\) −8.46664 6.65824i −0.370930 0.291703i 0.415241 0.909711i \(-0.363697\pi\)
−0.786171 + 0.618009i \(0.787940\pi\)
\(522\) 2.14873 + 6.20836i 0.0940475 + 0.271732i
\(523\) 30.5851 2.92052i 1.33739 0.127706i 0.598280 0.801287i \(-0.295851\pi\)
0.739113 + 0.673581i \(0.235245\pi\)
\(524\) 53.5038 + 15.7101i 2.33732 + 0.686300i
\(525\) 13.5158 + 3.79951i 0.589879 + 0.165824i
\(526\) 1.42204 + 9.89052i 0.0620040 + 0.431247i
\(527\) −0.620903 + 13.0344i −0.0270470 + 0.567786i
\(528\) 0.179073 0.310164i 0.00779315 0.0134981i
\(529\) −21.8749 7.10561i −0.951082 0.308940i
\(530\) −3.17868 5.50563i −0.138073 0.239149i
\(531\) 10.6039 + 6.81468i 0.460168 + 0.295732i
\(532\) 19.2001 10.1809i 0.832428 0.441397i
\(533\) 5.39879 + 11.8217i 0.233848 + 0.512055i
\(534\) −7.13059 29.3927i −0.308571 1.27195i
\(535\) 17.5192 + 24.6023i 0.757421 + 1.06365i
\(536\) −7.52139 21.7316i −0.324875 0.938663i
\(537\) 19.2733 7.71585i 0.831702 0.332963i
\(538\) 43.0916 12.6528i 1.85781 0.545502i
\(539\) −4.58964 + 5.55092i −0.197690 + 0.239095i
\(540\) 8.52579 5.47919i 0.366891 0.235787i
\(541\) 17.4847 + 9.01397i 0.751724 + 0.387541i 0.791103 0.611684i \(-0.209507\pi\)
−0.0393783 + 0.999224i \(0.512538\pi\)
\(542\) 31.7107 6.11173i 1.36209 0.262521i
\(543\) 3.93153 16.2060i 0.168718 0.695466i
\(544\) 10.3595 4.14733i 0.444161 0.177815i
\(545\) −26.0437 + 30.0561i −1.11559 + 1.28746i
\(546\) −8.06436 0.676107i −0.345123 0.0289347i
\(547\) −25.8296 7.58424i −1.10439 0.324279i −0.321796 0.946809i \(-0.604287\pi\)
−0.782596 + 0.622530i \(0.786105\pi\)
\(548\) 31.2022 43.8173i 1.33289 1.87178i
\(549\) 1.38202 + 0.553276i 0.0589830 + 0.0236132i
\(550\) 11.0208 5.68163i 0.469930 0.242265i
\(551\) −3.76381 6.51911i −0.160344 0.277723i
\(552\) 9.79136 + 7.92823i 0.416748 + 0.337448i
\(553\) 4.03941 4.77206i 0.171773 0.202929i
\(554\) 8.11895 + 5.21773i 0.344941 + 0.221680i
\(555\) 5.49620 4.32226i 0.233301 0.183470i
\(556\) −60.1057 5.73940i −2.54905 0.243405i
\(557\) −17.8066 + 16.9786i −0.754490 + 0.719405i −0.966162 0.257936i \(-0.916958\pi\)
0.211672 + 0.977341i \(0.432109\pi\)
\(558\) −15.9786 + 1.52578i −0.676430 + 0.0645912i
\(559\) 3.27786 3.78285i 0.138639 0.159998i
\(560\) −0.934615 + 2.80485i −0.0394947 + 0.118527i
\(561\) −1.82262 + 0.535170i −0.0769511 + 0.0225949i
\(562\) −0.228017 + 0.658811i −0.00961831 + 0.0277903i
\(563\) −0.758763 15.9284i −0.0319780 0.671302i −0.956773 0.290836i \(-0.906067\pi\)
0.924795 0.380466i \(-0.124236\pi\)
\(564\) −0.718701 15.0874i −0.0302628 0.635294i
\(565\) −0.984805 + 2.84541i −0.0414311 + 0.119707i
\(566\) −42.8230 + 12.5740i −1.79998 + 0.528523i
\(567\) 0.836389 2.51007i 0.0351250 0.105413i
\(568\) 20.1862 23.2961i 0.846995 0.977485i
\(569\) 12.0986 1.15528i 0.507201 0.0484318i 0.161681 0.986843i \(-0.448309\pi\)
0.345520 + 0.938411i \(0.387703\pi\)
\(570\) −13.7288 + 13.0903i −0.575034 + 0.548294i
\(571\) 7.62190 + 0.727803i 0.318966 + 0.0304576i 0.253311 0.967385i \(-0.418480\pi\)
0.0656550 + 0.997842i \(0.479086\pi\)
\(572\) −3.43911 + 2.70454i −0.143796 + 0.113083i
\(573\) 20.9295 + 13.4506i 0.874342 + 0.561905i
\(574\) −37.4535 + 44.2467i −1.56328 + 1.84682i
\(575\) −7.98032 24.1655i −0.332802 1.00777i
\(576\) 6.51500 + 11.2843i 0.271458 + 0.470179i
\(577\) 7.87986 4.06235i 0.328043 0.169118i −0.286335 0.958129i \(-0.592437\pi\)
0.614378 + 0.789012i \(0.289407\pi\)
\(578\) 28.6542 + 11.4714i 1.19186 + 0.477148i
\(579\) 14.5631 20.4510i 0.605220 0.849913i
\(580\) −28.1321 8.26033i −1.16812 0.342992i
\(581\) 11.5598 + 0.969159i 0.479581 + 0.0402075i
\(582\) 24.2800 28.0206i 1.00644 1.16149i
\(583\) −0.832992 + 0.333480i −0.0344990 + 0.0138113i
\(584\) −2.98485 + 12.3037i −0.123514 + 0.509132i
\(585\) 4.24606 0.818361i 0.175553 0.0338351i
\(586\) −42.7754 22.0523i −1.76704 0.910970i
\(587\) −17.6078 + 11.3159i −0.726752 + 0.467055i −0.850980 0.525199i \(-0.823991\pi\)
0.124228 + 0.992254i \(0.460355\pi\)
\(588\) −7.70818 20.7099i −0.317880 0.854060i
\(589\) 17.6468 5.18157i 0.727124 0.213503i
\(590\) −85.3109 + 34.1533i −3.51219 + 1.40607i
\(591\) 7.82390 + 22.6057i 0.321832 + 0.929874i
\(592\) 0.439738 + 0.617525i 0.0180731 + 0.0253801i
\(593\) 9.14469 + 37.6949i 0.375527 + 1.54794i 0.775458 + 0.631399i \(0.217519\pi\)
−0.399931 + 0.916545i \(0.630966\pi\)
\(594\) −0.970656 2.12544i −0.0398265 0.0872079i
\(595\) 13.8537 7.34594i 0.567945 0.301154i
\(596\) −25.7702 16.5615i −1.05559 0.678385i
\(597\) −1.34567 2.33078i −0.0550748 0.0953924i
\(598\) 7.15296 + 12.8070i 0.292506 + 0.523719i
\(599\) 5.88803 10.1984i 0.240578 0.416694i −0.720301 0.693662i \(-0.755996\pi\)
0.960879 + 0.276968i \(0.0893295\pi\)
\(600\) −0.663305 + 13.9245i −0.0270793 + 0.568465i
\(601\) −2.77397 19.2934i −0.113153 0.786995i −0.964820 0.262912i \(-0.915317\pi\)
0.851667 0.524083i \(-0.175592\pi\)
\(602\) 21.4939 + 6.04227i 0.876026 + 0.246265i
\(603\) 8.39923 + 2.46624i 0.342043 + 0.100433i
\(604\) 61.2313 5.84688i 2.49147 0.237906i
\(605\) 10.4384 + 30.1599i 0.424383 + 1.22617i
\(606\) 7.77474 + 6.11412i 0.315827 + 0.248369i
\(607\) −6.88191 6.56189i −0.279328 0.266339i 0.537444 0.843300i \(-0.319390\pi\)
−0.816772 + 0.576961i \(0.804239\pi\)
\(608\) −10.2994 11.8861i −0.417694 0.482045i
\(609\) −7.07260 + 2.92672i −0.286596 + 0.118597i
\(610\) −9.12993 + 5.86745i −0.369660 + 0.237566i
\(611\) 2.10787 6.09028i 0.0852752 0.246387i
\(612\) 1.37399 5.66365i 0.0555401 0.228939i
\(613\) −12.0271 9.45823i −0.485771 0.382014i 0.345023 0.938594i \(-0.387871\pi\)
−0.830794 + 0.556580i \(0.812113\pi\)
\(614\) −26.8136 5.16790i −1.08211 0.208559i
\(615\) 12.8677 28.1764i 0.518877 1.13618i
\(616\) −6.39404 3.20337i −0.257623 0.129068i
\(617\) −1.31267 2.87434i −0.0528460 0.115717i 0.881367 0.472432i \(-0.156624\pi\)
−0.934213 + 0.356716i \(0.883897\pi\)
\(618\) −25.1683 + 19.7926i −1.01242 + 0.796175i
\(619\) 19.9916 10.3064i 0.803532 0.414249i −0.00697726 0.999976i \(-0.502221\pi\)
0.810509 + 0.585726i \(0.199191\pi\)
\(620\) 35.8176 62.0380i 1.43847 2.49150i
\(621\) −4.62034 + 1.28548i −0.185408 + 0.0515847i
\(622\) 26.3951 1.05835
\(623\) 33.6939 10.3178i 1.34992 0.413375i
\(624\) 0.0667220 + 0.464062i 0.00267102 + 0.0185773i
\(625\) −13.5579 + 19.0395i −0.542318 + 0.761579i
\(626\) 27.0256 25.7688i 1.08016 1.02993i
\(627\) 1.55298 + 2.18086i 0.0620202 + 0.0870952i
\(628\) 64.2836 + 12.3896i 2.56519 + 0.494401i
\(629\) 0.572226 3.97992i 0.0228161 0.158690i
\(630\) 11.3692 + 15.5815i 0.452960 + 0.620783i
\(631\) 31.5761 + 36.4408i 1.25703 + 1.45069i 0.840729 + 0.541457i \(0.182127\pi\)
0.416297 + 0.909229i \(0.363328\pi\)
\(632\) 5.51778 + 2.84461i 0.219485 + 0.113153i
\(633\) −0.909504 19.0928i −0.0361495 0.758872i
\(634\) −37.2888 + 7.18682i −1.48093 + 0.285425i
\(635\) −17.3829 16.5746i −0.689821 0.657743i
\(636\) 0.391770 2.72482i 0.0155347 0.108046i
\(637\) 0.230854 9.42580i 0.00914675 0.373464i
\(638\) −2.80814 + 6.14897i −0.111175 + 0.243440i
\(639\) 2.76638 + 11.4032i 0.109436 + 0.451103i
\(640\) −55.9287 5.34054i −2.21078 0.211103i
\(641\) −44.6218 17.8639i −1.76246 0.705581i −0.998155 0.0607233i \(-0.980659\pi\)
−0.764302 0.644858i \(-0.776916\pi\)
\(642\) −1.01653 + 21.3396i −0.0401193 + 0.842208i
\(643\) 33.9747 1.33983 0.669916 0.742437i \(-0.266330\pi\)
0.669916 + 0.742437i \(0.266330\pi\)
\(644\) −23.3220 + 32.5660i −0.919017 + 1.28328i
\(645\) −11.9302 −0.469750
\(646\) −0.519040 + 10.8960i −0.0204214 + 0.428697i
\(647\) −13.9322 5.57763i −0.547733 0.219279i 0.0812562 0.996693i \(-0.474107\pi\)
−0.628989 + 0.777414i \(0.716531\pi\)
\(648\) 2.61512 + 0.249713i 0.102732 + 0.00980967i
\(649\) 3.05771 + 12.6041i 0.120026 + 0.494753i
\(650\) −6.74270 + 14.7644i −0.264470 + 0.579109i
\(651\) −2.87519 18.4788i −0.112688 0.724242i
\(652\) −1.09024 + 7.58281i −0.0426972 + 0.296966i
\(653\) 4.35633 + 4.15376i 0.170477 + 0.162549i 0.770514 0.637422i \(-0.219999\pi\)
−0.600038 + 0.799972i \(0.704848\pi\)
\(654\) −27.6230 + 5.32389i −1.08014 + 0.208181i
\(655\) −2.69829 56.6441i −0.105431 2.21327i
\(656\) 2.98506 + 1.53891i 0.116547 + 0.0600842i
\(657\) −3.15603 3.64225i −0.123128 0.142098i
\(658\) 28.5835 3.06312i 1.11430 0.119413i
\(659\) −1.31682 + 9.15866i −0.0512959 + 0.356771i 0.947967 + 0.318370i \(0.103135\pi\)
−0.999262 + 0.0384008i \(0.987774\pi\)
\(660\) 10.2395 + 1.97350i 0.398572 + 0.0768185i
\(661\) −0.0286846 0.0402818i −0.00111570 0.00156678i 0.814018 0.580840i \(-0.197276\pi\)
−0.815133 + 0.579273i \(0.803336\pi\)
\(662\) 44.2952 42.2354i 1.72158 1.64153i
\(663\) 1.44239 2.02556i 0.0560179 0.0786662i
\(664\) 1.63921 + 11.4009i 0.0636136 + 0.442443i
\(665\) −16.1703 15.0655i −0.627059 0.584215i
\(666\) 4.94591 0.191650
\(667\) 11.5640 + 7.66655i 0.447759 + 0.296850i
\(668\) −34.6343 + 59.9883i −1.34004 + 2.32102i
\(669\) 2.98896 1.54092i 0.115560 0.0595753i
\(670\) −50.1646 + 39.4499i −1.93803 + 1.52408i
\(671\) 0.636308 + 1.39332i 0.0245644 + 0.0537885i
\(672\) −13.3526 + 8.80088i −0.515088 + 0.339501i
\(673\) −1.74144 + 3.81321i −0.0671274 + 0.146988i −0.940222 0.340563i \(-0.889382\pi\)
0.873094 + 0.487551i \(0.162110\pi\)
\(674\) −0.756729 0.145848i −0.0291481 0.00561784i
\(675\) −4.17120 3.28027i −0.160550 0.126258i
\(676\) −8.32500 + 34.3161i −0.320192 + 1.31985i
\(677\) 8.79701 25.4173i 0.338097 0.976866i −0.639939 0.768426i \(-0.721040\pi\)
0.978035 0.208440i \(-0.0668385\pi\)
\(678\) −1.79174 + 1.15148i −0.0688113 + 0.0442223i
\(679\) 34.2617 + 26.3087i 1.31484 + 1.00963i
\(680\) 10.1960 + 11.7668i 0.390999 + 0.451237i
\(681\) −3.11457 2.96974i −0.119351 0.113801i
\(682\) −12.9824 10.2095i −0.497121 0.390941i
\(683\) −6.24567 18.0457i −0.238984 0.690498i −0.999168 0.0407904i \(-0.987012\pi\)
0.760184 0.649708i \(-0.225109\pi\)
\(684\) −8.17684 + 0.780793i −0.312649 + 0.0298544i
\(685\) −52.4881 15.4119i −2.00547 0.588858i
\(686\) 38.4791 16.9750i 1.46914 0.648109i
\(687\) 1.04745 + 7.28518i 0.0399627 + 0.277947i
\(688\) 0.0615462 1.29201i 0.00234643 0.0492576i
\(689\) 0.587286 1.01721i 0.0223738 0.0387526i
\(690\) 11.9046 32.8741i 0.453202 1.25150i
\(691\) 16.8904 + 29.2551i 0.642542 + 1.11292i 0.984863 + 0.173333i \(0.0554537\pi\)
−0.342321 + 0.939583i \(0.611213\pi\)
\(692\) 8.83209 + 5.67604i 0.335746 + 0.215771i
\(693\) 2.40513 1.27532i 0.0913632 0.0484455i
\(694\) −19.9703 43.7289i −0.758062 1.65992i
\(695\) 14.4764 + 59.6723i 0.549119 + 2.26350i
\(696\) −4.40845 6.19080i −0.167102 0.234662i
\(697\) −5.82592 16.8329i −0.220672 0.637591i
\(698\) −18.9489 + 7.58599i −0.717226 + 0.287134i
\(699\) 14.9819 4.39910i 0.566669 0.166389i
\(700\) −44.3181 + 0.512187i −1.67507 + 0.0193589i
\(701\) −19.1283 + 12.2930i −0.722467 + 0.464302i −0.849494 0.527598i \(-0.823093\pi\)
0.127027 + 0.991899i \(0.459456\pi\)
\(702\) 2.71871 + 1.40159i 0.102611 + 0.0528998i
\(703\) −5.56467 + 1.07250i −0.209875 + 0.0404502i
\(704\) −3.16085 + 13.0292i −0.119129 + 0.491057i
\(705\) −14.2604 + 5.70899i −0.537077 + 0.215013i
\(706\) 4.48182 5.17229i 0.168675 0.194662i
\(707\) −6.57547 + 9.46353i −0.247296 + 0.355913i
\(708\) −38.1795 11.2105i −1.43487 0.421317i
\(709\) −12.6630 + 17.7827i −0.475570 + 0.667844i −0.980772 0.195157i \(-0.937478\pi\)
0.505202 + 0.863001i \(0.331418\pi\)
\(710\) −79.4166 31.7936i −2.98045 1.19319i
\(711\) −2.10040 + 1.08283i −0.0787712 + 0.0406094i
\(712\) 17.4944 + 30.3011i 0.655629 + 1.13558i
\(713\) −24.8643 + 23.0411i −0.931174 + 0.862896i
\(714\) 10.9149 + 1.97314i 0.408481 + 0.0738429i
\(715\) 3.74305 + 2.40551i 0.139982 + 0.0899609i
\(716\) −51.5155 + 40.5123i −1.92523 + 1.51401i
\(717\) 27.5220 + 2.62803i 1.02783 + 0.0981456i
\(718\) 28.1601 26.8506i 1.05093 1.00206i
\(719\) 5.59709 0.534457i 0.208736 0.0199319i 0.00983597 0.999952i \(-0.496869\pi\)
0.198900 + 0.980020i \(0.436263\pi\)
\(720\) 0.731768 0.844505i 0.0272714 0.0314728i
\(721\) −24.7533 27.9086i −0.921863 1.03937i
\(722\) −26.6470 + 7.82427i −0.991699 + 0.291189i
\(723\) 4.71437 13.6213i 0.175329 0.506580i
\(724\) 2.50488 + 52.5839i 0.0930932 + 1.95427i
\(725\) 0.730473 + 15.3345i 0.0271291 + 0.569510i
\(726\) −7.38366 + 21.3337i −0.274033 + 0.791767i
\(727\) −34.9443 + 10.2606i −1.29601 + 0.380544i −0.855780 0.517340i \(-0.826922\pi\)
−0.440233 + 0.897884i \(0.645104\pi\)
\(728\) 9.17158 1.87786i 0.339921 0.0695980i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 34.9759 3.33979i 1.29452 0.123611i
\(731\) −4.96515 + 4.73426i −0.183643 + 0.175103i
\(732\) −4.67815 0.446709i −0.172909 0.0165108i
\(733\) 32.7831 25.7809i 1.21087 0.952239i 0.211188 0.977446i \(-0.432267\pi\)
0.999682 + 0.0252070i \(0.00802450\pi\)
\(734\) −23.0006 14.7816i −0.848967 0.545598i
\(735\) −17.3389 + 14.2962i −0.639555 + 0.527323i
\(736\) 26.7555 + 11.1559i 0.986222 + 0.411212i
\(737\) 4.50360 + 7.80046i 0.165892 + 0.287334i
\(738\) 19.4750 10.0400i 0.716883 0.369579i
\(739\) 12.6291 + 5.05592i 0.464568 + 0.185985i 0.592125 0.805846i \(-0.298289\pi\)
−0.127557 + 0.991831i \(0.540713\pi\)
\(740\) −12.8036 + 17.9802i −0.470670 + 0.660964i
\(741\) −3.36277 0.987398i −0.123534 0.0362730i
\(742\) 5.22094 + 0.437717i 0.191667 + 0.0160691i
\(743\) −19.2771 + 22.2470i −0.707210 + 0.816164i −0.989708 0.143104i \(-0.954292\pi\)
0.282498 + 0.959268i \(0.408837\pi\)
\(744\) 17.2386 6.90129i 0.631997 0.253014i
\(745\) −7.34452 + 30.2745i −0.269082 + 1.10917i
\(746\) 6.63114 1.27805i 0.242783 0.0467927i
\(747\) −3.89712 2.00910i −0.142588 0.0735092i
\(748\) 5.04467 3.24201i 0.184452 0.118540i
\(749\) −24.8890 + 0.287644i −0.909425 + 0.0105103i
\(750\) 2.14408 0.629557i 0.0782906 0.0229882i
\(751\) −7.27755 + 2.91349i −0.265561 + 0.106315i −0.500622 0.865666i \(-0.666895\pi\)
0.235061 + 0.971981i \(0.424471\pi\)
\(752\) −0.544705 1.57382i −0.0198633 0.0573914i
\(753\) −14.5054 20.3700i −0.528606 0.742324i
\(754\) −2.08624 8.59958i −0.0759762 0.313178i
\(755\) −25.9855 56.9003i −0.945708 2.07081i
\(756\) −0.300976 + 8.34677i −0.0109464 + 0.303569i
\(757\) −5.67177 3.64503i −0.206144 0.132481i 0.433496 0.901156i \(-0.357280\pi\)
−0.639640 + 0.768675i \(0.720916\pi\)
\(758\) −5.54290 9.60059i −0.201327 0.348709i
\(759\) −4.35344 2.32341i −0.158020 0.0843344i
\(760\) 10.9722 19.0044i 0.398003 0.689361i
\(761\) 0.0562089 1.17997i 0.00203757 0.0427739i −0.997620 0.0689580i \(-0.978033\pi\)
0.999657 + 0.0261841i \(0.00833559\pi\)
\(762\) −2.41785 16.8165i −0.0875896 0.609199i
\(763\) −8.09466 31.7601i −0.293046 1.14979i
\(764\) −75.3573 22.1269i −2.72633 0.800523i
\(765\) −5.89994 + 0.563376i −0.213313 + 0.0203689i
\(766\) −4.96969 14.3590i −0.179562 0.518811i
\(767\) −13.3456 10.4951i −0.481883 0.378957i
\(768\) −9.90158 9.44114i −0.357292 0.340678i
\(769\) −13.0810 15.0962i −0.471711 0.544384i 0.469175 0.883105i \(-0.344551\pi\)
−0.940887 + 0.338721i \(0.890006\pi\)
\(770\) −2.59727 + 19.6760i −0.0935992 + 0.709074i
\(771\)