Properties

Label 384.2.v.a.229.6
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.6
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20287 + 0.743711i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(0.893788 - 1.78917i) q^{4} +(2.29000 + 2.79037i) q^{5} +(0.710253 - 1.22292i) q^{6} +(-2.80560 + 1.87464i) q^{7} +(0.255518 + 2.81686i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-1.20287 + 0.743711i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(0.893788 - 1.78917i) q^{4} +(2.29000 + 2.79037i) q^{5} +(0.710253 - 1.22292i) q^{6} +(-2.80560 + 1.87464i) q^{7} +(0.255518 + 2.81686i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-4.82980 - 1.65336i) q^{10} +(2.03892 - 0.618500i) q^{11} +(0.0551600 + 1.99924i) q^{12} +(-0.229619 - 0.188444i) q^{13} +(1.98058 - 4.34151i) q^{14} +(-3.33497 - 1.38139i) q^{15} +(-2.40229 - 3.19828i) q^{16} +(2.17714 - 0.901803i) q^{17} +(-0.0499052 + 1.41333i) q^{18} +(0.706078 + 7.16893i) q^{19} +(7.03924 - 1.60321i) q^{20} +(1.59062 - 2.97584i) q^{21} +(-1.99257 + 2.26034i) q^{22} +(-7.67471 + 1.52659i) q^{23} +(-1.55321 - 2.36380i) q^{24} +(-1.56663 + 7.87599i) q^{25} +(0.416349 + 0.0559027i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(0.846449 + 6.69524i) q^{28} +(1.45478 - 4.79576i) q^{29} +(5.03889 - 0.818623i) q^{30} +(-1.34085 - 1.34085i) q^{31} +(5.26823 + 2.06051i) q^{32} +(-1.50661 + 1.50661i) q^{33} +(-1.94814 + 2.70392i) q^{34} +(-11.6558 - 3.53574i) q^{35} +(-0.991082 - 1.73717i) q^{36} +(-11.2318 - 1.10623i) q^{37} +(-6.18093 - 8.09817i) q^{38} +(0.291338 + 0.0579507i) q^{39} +(-7.27496 + 7.16361i) q^{40} +(1.95928 + 9.84997i) q^{41} +(0.299857 + 4.76251i) q^{42} +(-3.88211 - 2.07503i) q^{43} +(0.715759 - 4.20079i) q^{44} +(3.59237 - 0.353817i) q^{45} +(8.09632 - 7.54406i) q^{46} +(-0.144696 - 0.349327i) q^{47} +(3.62629 + 1.68821i) q^{48} +(1.67833 - 4.05184i) q^{49} +(-3.97301 - 10.6389i) q^{50} +(-1.49496 + 1.82162i) q^{51} +(-0.542389 + 0.242400i) q^{52} +(2.39613 + 7.89897i) q^{53} +(-0.622228 - 1.26997i) q^{54} +(6.39497 + 4.27298i) q^{55} +(-5.99749 - 7.42399i) q^{56} +(-4.00212 - 5.98959i) q^{57} +(1.81675 + 6.85060i) q^{58} +(5.66535 - 4.64943i) q^{59} +(-5.45231 + 4.73218i) q^{60} +(-1.29976 - 2.43168i) q^{61} +(2.61008 + 0.615664i) q^{62} +3.37427i q^{63} +(-7.86942 + 1.43952i) q^{64} -1.07226i q^{65} +(0.691771 - 2.93273i) q^{66} +(-0.766606 - 1.43422i) q^{67} +(0.332424 - 4.70131i) q^{68} +(6.04886 - 4.96417i) q^{69} +(16.6500 - 4.41550i) q^{70} +(7.40895 + 11.0883i) q^{71} +(2.48409 + 1.35251i) q^{72} +(8.54466 + 5.70936i) q^{73} +(14.3331 - 7.02253i) q^{74} +(-2.33107 - 7.68451i) q^{75} +(13.4576 + 5.14421i) q^{76} +(-4.56093 + 5.55751i) q^{77} +(-0.393540 + 0.146964i) q^{78} +(6.07499 - 14.6663i) q^{79} +(3.42317 - 14.0273i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-9.68229 - 10.3911i) q^{82} +(11.9353 - 1.17553i) q^{83} +(-3.90262 - 5.50566i) q^{84} +(7.50203 + 4.00992i) q^{85} +(6.21289 - 0.391177i) q^{86} +(0.977705 + 4.91526i) q^{87} +(2.26321 + 5.58532i) q^{88} +(-0.238687 - 0.0474779i) q^{89} +(-4.05801 + 3.09728i) q^{90} +(0.997485 + 0.0982437i) q^{91} +(-4.12822 + 15.0958i) q^{92} +(1.81460 + 0.550453i) q^{93} +(0.433848 + 0.312582i) q^{94} +(-18.3871 + 18.3871i) q^{95} +(-5.61749 + 0.666220i) q^{96} +(0.798274 + 0.798274i) q^{97} +(0.994591 + 6.12203i) q^{98} +(0.618500 - 2.03892i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20287 + 0.743711i −0.850557 + 0.525883i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) 0.893788 1.78917i 0.446894 0.894587i
\(5\) 2.29000 + 2.79037i 1.02412 + 1.24789i 0.968388 + 0.249447i \(0.0802490\pi\)
0.0557311 + 0.998446i \(0.482251\pi\)
\(6\) 0.710253 1.22292i 0.289960 0.499256i
\(7\) −2.80560 + 1.87464i −1.06042 + 0.708548i −0.958167 0.286210i \(-0.907604\pi\)
−0.102251 + 0.994759i \(0.532604\pi\)
\(8\) 0.255518 + 2.81686i 0.0903393 + 0.995911i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −4.82980 1.65336i −1.52732 0.522837i
\(11\) 2.03892 0.618500i 0.614757 0.186485i 0.0324768 0.999472i \(-0.489660\pi\)
0.582281 + 0.812988i \(0.302160\pi\)
\(12\) 0.0551600 + 1.99924i 0.0159233 + 0.577131i
\(13\) −0.229619 0.188444i −0.0636849 0.0522649i 0.602012 0.798487i \(-0.294366\pi\)
−0.665697 + 0.746222i \(0.731866\pi\)
\(14\) 1.98058 4.34151i 0.529332 1.16032i
\(15\) −3.33497 1.38139i −0.861086 0.356674i
\(16\) −2.40229 3.19828i −0.600571 0.799571i
\(17\) 2.17714 0.901803i 0.528035 0.218719i −0.102707 0.994712i \(-0.532750\pi\)
0.630742 + 0.775992i \(0.282750\pi\)
\(18\) −0.0499052 + 1.41333i −0.0117628 + 0.333126i
\(19\) 0.706078 + 7.16893i 0.161985 + 1.64467i 0.641494 + 0.767128i \(0.278315\pi\)
−0.479508 + 0.877537i \(0.659185\pi\)
\(20\) 7.03924 1.60321i 1.57402 0.358488i
\(21\) 1.59062 2.97584i 0.347102 0.649381i
\(22\) −1.99257 + 2.26034i −0.424817 + 0.481906i
\(23\) −7.67471 + 1.52659i −1.60029 + 0.318317i −0.912966 0.408037i \(-0.866214\pi\)
−0.687321 + 0.726353i \(0.741214\pi\)
\(24\) −1.55321 2.36380i −0.317047 0.482509i
\(25\) −1.56663 + 7.87599i −0.313326 + 1.57520i
\(26\) 0.416349 + 0.0559027i 0.0816529 + 0.0109634i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) 0.846449 + 6.69524i 0.159964 + 1.26528i
\(29\) 1.45478 4.79576i 0.270145 0.890549i −0.711961 0.702219i \(-0.752193\pi\)
0.982106 0.188330i \(-0.0603074\pi\)
\(30\) 5.03889 0.818623i 0.919972 0.149460i
\(31\) −1.34085 1.34085i −0.240824 0.240824i 0.576367 0.817191i \(-0.304470\pi\)
−0.817191 + 0.576367i \(0.804470\pi\)
\(32\) 5.26823 + 2.06051i 0.931301 + 0.364250i
\(33\) −1.50661 + 1.50661i −0.262267 + 0.262267i
\(34\) −1.94814 + 2.70392i −0.334103 + 0.463718i
\(35\) −11.6558 3.53574i −1.97019 0.597650i
\(36\) −0.991082 1.73717i −0.165180 0.289528i
\(37\) −11.2318 1.10623i −1.84649 0.181863i −0.886656 0.462430i \(-0.846978\pi\)
−0.959835 + 0.280566i \(0.909478\pi\)
\(38\) −6.18093 8.09817i −1.00268 1.31370i
\(39\) 0.291338 + 0.0579507i 0.0466514 + 0.00927954i
\(40\) −7.27496 + 7.16361i −1.15027 + 1.13267i
\(41\) 1.95928 + 9.84997i 0.305988 + 1.53831i 0.761552 + 0.648104i \(0.224438\pi\)
−0.455564 + 0.890203i \(0.650562\pi\)
\(42\) 0.299857 + 4.76251i 0.0462690 + 0.734870i
\(43\) −3.88211 2.07503i −0.592016 0.316439i 0.148043 0.988981i \(-0.452702\pi\)
−0.740059 + 0.672542i \(0.765202\pi\)
\(44\) 0.715759 4.20079i 0.107905 0.633293i
\(45\) 3.59237 0.353817i 0.535519 0.0527440i
\(46\) 8.09632 7.54406i 1.19374 1.11231i
\(47\) −0.144696 0.349327i −0.0211061 0.0509545i 0.912975 0.408015i \(-0.133779\pi\)
−0.934081 + 0.357061i \(0.883779\pi\)
\(48\) 3.62629 + 1.68821i 0.523410 + 0.243671i
\(49\) 1.67833 4.05184i 0.239761 0.578835i
\(50\) −3.97301 10.6389i −0.561868 1.50457i
\(51\) −1.49496 + 1.82162i −0.209337 + 0.255078i
\(52\) −0.542389 + 0.242400i −0.0752159 + 0.0336148i
\(53\) 2.39613 + 7.89897i 0.329133 + 1.08501i 0.952872 + 0.303374i \(0.0981132\pi\)
−0.623738 + 0.781633i \(0.714387\pi\)
\(54\) −0.622228 1.26997i −0.0846745 0.172821i
\(55\) 6.39497 + 4.27298i 0.862298 + 0.576169i
\(56\) −5.99749 7.42399i −0.801449 0.992072i
\(57\) −4.00212 5.98959i −0.530093 0.793341i
\(58\) 1.81675 + 6.85060i 0.238551 + 0.899528i
\(59\) 5.66535 4.64943i 0.737566 0.605304i −0.188762 0.982023i \(-0.560448\pi\)
0.926328 + 0.376718i \(0.122948\pi\)
\(60\) −5.45231 + 4.73218i −0.703890 + 0.610921i
\(61\) −1.29976 2.43168i −0.166417 0.311345i 0.784865 0.619667i \(-0.212733\pi\)
−0.951282 + 0.308322i \(0.900233\pi\)
\(62\) 2.61008 + 0.615664i 0.331480 + 0.0781894i
\(63\) 3.37427i 0.425118i
\(64\) −7.86942 + 1.43952i −0.983678 + 0.179940i
\(65\) 1.07226i 0.132997i
\(66\) 0.691771 2.93273i 0.0851512 0.360995i
\(67\) −0.766606 1.43422i −0.0936558 0.175218i 0.830731 0.556674i \(-0.187923\pi\)
−0.924387 + 0.381456i \(0.875423\pi\)
\(68\) 0.332424 4.70131i 0.0403123 0.570118i
\(69\) 6.04886 4.96417i 0.728197 0.597616i
\(70\) 16.6500 4.41550i 1.99005 0.527753i
\(71\) 7.40895 + 11.0883i 0.879280 + 1.31594i 0.947990 + 0.318299i \(0.103112\pi\)
−0.0687103 + 0.997637i \(0.521888\pi\)
\(72\) 2.48409 + 1.35251i 0.292753 + 0.159395i
\(73\) 8.54466 + 5.70936i 1.00008 + 0.668230i 0.943914 0.330191i \(-0.107113\pi\)
0.0561631 + 0.998422i \(0.482113\pi\)
\(74\) 14.3331 7.02253i 1.66618 0.816353i
\(75\) −2.33107 7.68451i −0.269169 0.887331i
\(76\) 13.4576 + 5.14421i 1.54369 + 0.590081i
\(77\) −4.56093 + 5.55751i −0.519766 + 0.633337i
\(78\) −0.393540 + 0.146964i −0.0445596 + 0.0166404i
\(79\) 6.07499 14.6663i 0.683490 1.65009i −0.0740106 0.997257i \(-0.523580\pi\)
0.757501 0.652834i \(-0.226420\pi\)
\(80\) 3.42317 14.0273i 0.382722 1.56831i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −9.68229 10.3911i −1.06923 1.14750i
\(83\) 11.9353 1.17553i 1.31007 0.129031i 0.581246 0.813728i \(-0.302565\pi\)
0.728828 + 0.684697i \(0.240065\pi\)
\(84\) −3.90262 5.50566i −0.425810 0.600717i
\(85\) 7.50203 + 4.00992i 0.813709 + 0.434937i
\(86\) 6.21289 0.391177i 0.669953 0.0421817i
\(87\) 0.977705 + 4.91526i 0.104821 + 0.526971i
\(88\) 2.26321 + 5.58532i 0.241259 + 0.595397i
\(89\) −0.238687 0.0474779i −0.0253008 0.00503265i 0.182424 0.983220i \(-0.441606\pi\)
−0.207725 + 0.978187i \(0.566606\pi\)
\(90\) −4.05801 + 3.09728i −0.427752 + 0.326482i
\(91\) 0.997485 + 0.0982437i 0.104565 + 0.0102987i
\(92\) −4.12822 + 15.0958i −0.430397 + 1.57385i
\(93\) 1.81460 + 0.550453i 0.188165 + 0.0570793i
\(94\) 0.433848 + 0.312582i 0.0447480 + 0.0322404i
\(95\) −18.3871 + 18.3871i −1.88647 + 1.88647i
\(96\) −5.61749 + 0.666220i −0.573332 + 0.0679958i
\(97\) 0.798274 + 0.798274i 0.0810524 + 0.0810524i 0.746471 0.665418i \(-0.231747\pi\)
−0.665418 + 0.746471i \(0.731747\pi\)
\(98\) 0.994591 + 6.12203i 0.100469 + 0.618418i
\(99\) 0.618500 2.03892i 0.0621615 0.204919i
\(100\) 12.6913 + 9.84244i 1.26913 + 0.984244i
\(101\) 0.362936 3.68495i 0.0361135 0.366666i −0.960095 0.279673i \(-0.909774\pi\)
0.996209 0.0869935i \(-0.0277259\pi\)
\(102\) 0.443488 3.30299i 0.0439118 0.327045i
\(103\) −0.982648 + 4.94011i −0.0968232 + 0.486763i 0.901696 + 0.432370i \(0.142322\pi\)
−0.998520 + 0.0543933i \(0.982678\pi\)
\(104\) 0.472148 0.694956i 0.0462979 0.0681461i
\(105\) 11.9462 2.37625i 1.16583 0.231898i
\(106\) −8.75678 7.71940i −0.850534 0.749775i
\(107\) 6.05073 11.3201i 0.584946 1.09436i −0.399178 0.916874i \(-0.630704\pi\)
0.984124 0.177484i \(-0.0567957\pi\)
\(108\) 1.69295 + 1.06485i 0.162904 + 0.102466i
\(109\) −0.233826 2.37407i −0.0223964 0.227395i −0.999867 0.0163221i \(-0.994804\pi\)
0.977470 0.211073i \(-0.0676957\pi\)
\(110\) −10.8702 0.383829i −1.03643 0.0365967i
\(111\) 10.4270 4.31901i 0.989688 0.409942i
\(112\) 12.7355 + 4.46968i 1.20339 + 0.422345i
\(113\) 14.8732 + 6.16070i 1.39916 + 0.579550i 0.949533 0.313668i \(-0.101558\pi\)
0.449624 + 0.893218i \(0.351558\pi\)
\(114\) 9.26855 + 4.22828i 0.868079 + 0.396014i
\(115\) −21.8349 17.9194i −2.03611 1.67099i
\(116\) −7.28018 6.88924i −0.675948 0.639650i
\(117\) −0.284255 + 0.0862277i −0.0262794 + 0.00797176i
\(118\) −3.35684 + 9.80604i −0.309022 + 0.902719i
\(119\) −4.41764 + 6.61147i −0.404964 + 0.606072i
\(120\) 3.03904 9.74713i 0.277425 0.889787i
\(121\) −5.37151 + 3.58913i −0.488319 + 0.326285i
\(122\) 3.37191 + 1.95835i 0.305279 + 0.177301i
\(123\) −6.37117 7.76330i −0.574469 0.699993i
\(124\) −3.59746 + 1.20058i −0.323061 + 0.107815i
\(125\) −9.64697 + 5.15641i −0.862851 + 0.461204i
\(126\) −2.50948 4.05880i −0.223562 0.361587i
\(127\) 8.46265 0.750938 0.375469 0.926835i \(-0.377482\pi\)
0.375469 + 0.926835i \(0.377482\pi\)
\(128\) 8.39530 7.58413i 0.742046 0.670348i
\(129\) 4.40187 0.387563
\(130\) 0.797451 + 1.28979i 0.0699411 + 0.113122i
\(131\) −6.37547 + 3.40776i −0.557028 + 0.297737i −0.725787 0.687920i \(-0.758524\pi\)
0.168759 + 0.985657i \(0.446024\pi\)
\(132\) 1.34900 + 4.04217i 0.117415 + 0.351826i
\(133\) −15.4202 18.7895i −1.33710 1.62926i
\(134\) 1.98877 + 1.15504i 0.171804 + 0.0997806i
\(135\) −3.00140 + 2.00547i −0.258319 + 0.172603i
\(136\) 3.09655 + 5.90229i 0.265527 + 0.506117i
\(137\) 5.10959 7.64705i 0.436542 0.653331i −0.546341 0.837563i \(-0.683980\pi\)
0.982883 + 0.184232i \(0.0589797\pi\)
\(138\) −3.58408 + 10.4698i −0.305097 + 0.891252i
\(139\) 2.59596 0.787477i 0.220187 0.0667929i −0.178264 0.983983i \(-0.557048\pi\)
0.398451 + 0.917190i \(0.369548\pi\)
\(140\) −16.7439 + 17.6940i −1.41511 + 1.49542i
\(141\) 0.292282 + 0.239869i 0.0246146 + 0.0202007i
\(142\) −17.1585 7.82762i −1.43991 0.656880i
\(143\) −0.584728 0.242202i −0.0488974 0.0202540i
\(144\) −3.99391 + 0.220556i −0.332826 + 0.0183797i
\(145\) 16.7134 6.92291i 1.38797 0.574917i
\(146\) −14.5242 0.512855i −1.20203 0.0424442i
\(147\) 0.429872 + 4.36457i 0.0354553 + 0.359983i
\(148\) −12.0181 + 19.1068i −0.987878 + 1.57057i
\(149\) 0.631173 1.18084i 0.0517077 0.0967383i −0.854740 0.519056i \(-0.826283\pi\)
0.906448 + 0.422318i \(0.138783\pi\)
\(150\) 8.51903 + 7.50982i 0.695575 + 0.613174i
\(151\) 1.01457 0.201810i 0.0825644 0.0164231i −0.153635 0.988128i \(-0.549098\pi\)
0.236200 + 0.971705i \(0.424098\pi\)
\(152\) −20.0135 + 3.82072i −1.62331 + 0.309901i
\(153\) 0.459735 2.31124i 0.0371674 0.186853i
\(154\) 1.35302 10.0770i 0.109030 0.812025i
\(155\) 0.670927 6.81204i 0.0538902 0.547156i
\(156\) 0.364078 0.469458i 0.0291496 0.0375867i
\(157\) 0.206206 0.679771i 0.0164571 0.0542517i −0.948327 0.317294i \(-0.897226\pi\)
0.964784 + 0.263042i \(0.0847258\pi\)
\(158\) 3.60009 + 22.1597i 0.286408 + 1.76293i
\(159\) −5.83675 5.83675i −0.462884 0.462884i
\(160\) 6.31466 + 19.4189i 0.499218 + 1.53520i
\(161\) 18.6703 18.6703i 1.47143 1.47143i
\(162\) 1.14742 + 0.826700i 0.0901496 + 0.0649517i
\(163\) 11.8951 + 3.60834i 0.931696 + 0.282627i 0.719414 0.694581i \(-0.244410\pi\)
0.212282 + 0.977208i \(0.431910\pi\)
\(164\) 19.3745 + 5.29829i 1.51289 + 0.413727i
\(165\) −7.65413 0.753866i −0.595874 0.0586884i
\(166\) −13.4824 + 10.2905i −1.04644 + 0.798694i
\(167\) −1.21048 0.240779i −0.0936694 0.0186320i 0.148033 0.988982i \(-0.452706\pi\)
−0.241702 + 0.970350i \(0.577706\pi\)
\(168\) 8.78896 + 3.72017i 0.678083 + 0.287018i
\(169\) −2.51896 12.6637i −0.193766 0.974128i
\(170\) −12.0062 + 0.755935i −0.920832 + 0.0579775i
\(171\) 6.35303 + 3.39576i 0.485828 + 0.259680i
\(172\) −7.18237 + 5.09113i −0.547650 + 0.388195i
\(173\) 13.8434 1.36345i 1.05249 0.103661i 0.443054 0.896495i \(-0.353895\pi\)
0.609438 + 0.792833i \(0.291395\pi\)
\(174\) −4.83158 5.18528i −0.366281 0.393095i
\(175\) −10.3693 25.0338i −0.783847 1.89237i
\(176\) −6.87621 5.03523i −0.518314 0.379545i
\(177\) −2.80466 + 6.77106i −0.210811 + 0.508944i
\(178\) 0.322420 0.120405i 0.0241664 0.00902472i
\(179\) −5.48986 + 6.68942i −0.410332 + 0.499991i −0.936635 0.350306i \(-0.886078\pi\)
0.526304 + 0.850297i \(0.323578\pi\)
\(180\) 2.57777 6.74361i 0.192136 0.502639i
\(181\) −4.94944 16.3161i −0.367889 1.21277i −0.924237 0.381819i \(-0.875298\pi\)
0.556348 0.830949i \(-0.312202\pi\)
\(182\) −1.27291 + 0.623666i −0.0943542 + 0.0462292i
\(183\) 2.29258 + 1.53185i 0.169472 + 0.113238i
\(184\) −6.26123 21.2285i −0.461584 1.56499i
\(185\) −22.6339 33.8741i −1.66408 2.49047i
\(186\) −2.59211 + 0.687415i −0.190062 + 0.0504037i
\(187\) 3.88126 3.18527i 0.283826 0.232930i
\(188\) −0.754334 0.0533380i −0.0550154 0.00389007i
\(189\) −1.59062 2.97584i −0.115701 0.216460i
\(190\) 8.44258 35.7919i 0.612489 2.59662i
\(191\) 25.7974i 1.86663i 0.359055 + 0.933316i \(0.383099\pi\)
−0.359055 + 0.933316i \(0.616901\pi\)
\(192\) 6.26163 4.97916i 0.451894 0.359340i
\(193\) 11.8620i 0.853848i 0.904288 + 0.426924i \(0.140403\pi\)
−0.904288 + 0.426924i \(0.859597\pi\)
\(194\) −1.55390 0.366534i −0.111564 0.0263156i
\(195\) 0.505460 + 0.945649i 0.0361967 + 0.0677193i
\(196\) −5.74938 6.62431i −0.410670 0.473165i
\(197\) −11.7952 + 9.68008i −0.840374 + 0.689677i −0.952673 0.303997i \(-0.901679\pi\)
0.112299 + 0.993674i \(0.464179\pi\)
\(198\) 0.772393 + 2.91254i 0.0548916 + 0.206985i
\(199\) 13.7706 + 20.6091i 0.976169 + 1.46094i 0.885268 + 0.465081i \(0.153975\pi\)
0.0909008 + 0.995860i \(0.471025\pi\)
\(200\) −22.5859 2.40053i −1.59706 0.169743i
\(201\) 1.35217 + 0.903492i 0.0953748 + 0.0637274i
\(202\) 2.30397 + 4.70243i 0.162107 + 0.330862i
\(203\) 4.90881 + 16.1822i 0.344531 + 1.13577i
\(204\) 1.92301 + 4.30289i 0.134638 + 0.301262i
\(205\) −22.9983 + 28.0236i −1.60627 + 1.95725i
\(206\) −2.49201 6.67311i −0.173627 0.464937i
\(207\) −2.99452 + 7.22942i −0.208134 + 0.502479i
\(208\) −0.0510853 + 1.18708i −0.00354213 + 0.0823094i
\(209\) 5.87362 + 14.1802i 0.406287 + 0.980863i
\(210\) −12.6025 + 11.7429i −0.869655 + 0.810334i
\(211\) 9.45447 0.931184i 0.650872 0.0641053i 0.232808 0.972523i \(-0.425209\pi\)
0.418064 + 0.908417i \(0.362709\pi\)
\(212\) 16.2743 + 2.77292i 1.11772 + 0.190445i
\(213\) −11.7611 6.28643i −0.805856 0.430739i
\(214\) 1.14066 + 18.1166i 0.0779740 + 1.23843i
\(215\) −3.09992 15.5843i −0.211413 1.06284i
\(216\) −2.82834 0.0218130i −0.192444 0.00148419i
\(217\) 6.27552 + 1.24828i 0.426010 + 0.0847387i
\(218\) 2.04689 + 2.68180i 0.138633 + 0.181634i
\(219\) −10.2271 1.00728i −0.691083 0.0680657i
\(220\) 13.3609 7.62258i 0.900789 0.513914i
\(221\) −0.669853 0.203198i −0.0450592 0.0136686i
\(222\) −9.33023 + 12.9499i −0.626204 + 0.869139i
\(223\) 2.38881 2.38881i 0.159967 0.159967i −0.622585 0.782552i \(-0.713918\pi\)
0.782552 + 0.622585i \(0.213918\pi\)
\(224\) −18.6433 + 4.09509i −1.24566 + 0.273614i
\(225\) 5.67827 + 5.67827i 0.378551 + 0.378551i
\(226\) −22.4723 + 3.65088i −1.49484 + 0.242853i
\(227\) 1.30250 4.29375i 0.0864497 0.284986i −0.903047 0.429542i \(-0.858675\pi\)
0.989497 + 0.144555i \(0.0461751\pi\)
\(228\) −14.2935 + 1.80706i −0.946608 + 0.119675i
\(229\) −2.29468 + 23.2983i −0.151637 + 1.53959i 0.554901 + 0.831916i \(0.312756\pi\)
−0.706538 + 0.707676i \(0.749744\pi\)
\(230\) 39.5913 + 5.31587i 2.61057 + 0.350518i
\(231\) 1.40259 7.05129i 0.0922836 0.463941i
\(232\) 13.8807 + 2.87250i 0.911313 + 0.188589i
\(233\) −16.6826 + 3.31838i −1.09292 + 0.217394i −0.708461 0.705750i \(-0.750610\pi\)
−0.384454 + 0.923144i \(0.625610\pi\)
\(234\) 0.277793 0.315124i 0.0181599 0.0206003i
\(235\) 0.643398 1.20371i 0.0419707 0.0785216i
\(236\) −3.25502 14.2919i −0.211884 0.930323i
\(237\) 1.55600 + 15.7983i 0.101073 + 1.02621i
\(238\) 0.396823 11.2382i 0.0257222 0.728463i
\(239\) −12.9107 + 5.34779i −0.835123 + 0.345919i −0.758929 0.651173i \(-0.774277\pi\)
−0.0761946 + 0.997093i \(0.524277\pi\)
\(240\) 3.59348 + 13.9847i 0.231958 + 0.902708i
\(241\) 19.2318 + 7.96608i 1.23883 + 0.513140i 0.903349 0.428907i \(-0.141101\pi\)
0.335481 + 0.942047i \(0.391101\pi\)
\(242\) 3.79195 8.31211i 0.243756 0.534322i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) −5.51242 + 0.152090i −0.352896 + 0.00973658i
\(245\) 15.1495 4.59556i 0.967868 0.293600i
\(246\) 13.4373 + 4.59992i 0.856733 + 0.293280i
\(247\) 1.18881 1.77918i 0.0756422 0.113207i
\(248\) 3.43439 4.11961i 0.218084 0.261596i
\(249\) −9.97189 + 6.66300i −0.631943 + 0.422251i
\(250\) 7.76916 13.3770i 0.491365 0.846039i
\(251\) 0.432097 + 0.526511i 0.0272737 + 0.0332331i 0.786469 0.617630i \(-0.211907\pi\)
−0.759195 + 0.650863i \(0.774407\pi\)
\(252\) 6.03715 + 3.01588i 0.380305 + 0.189983i
\(253\) −14.7039 + 7.85941i −0.924427 + 0.494117i
\(254\) −10.1795 + 6.29376i −0.638716 + 0.394906i
\(255\) −8.50646 −0.532695
\(256\) −4.45805 + 15.3664i −0.278628 + 0.960399i
\(257\) −9.14421 −0.570400 −0.285200 0.958468i \(-0.592060\pi\)
−0.285200 + 0.958468i \(0.592060\pi\)
\(258\) −5.29488 + 3.27372i −0.329645 + 0.203813i
\(259\) 33.5856 17.9519i 2.08691 1.11548i
\(260\) −1.91846 0.958373i −0.118978 0.0594358i
\(261\) −3.17929 3.87398i −0.196793 0.239793i
\(262\) 5.13447 8.84060i 0.317209 0.546174i
\(263\) 10.2703 6.86240i 0.633294 0.423153i −0.197059 0.980392i \(-0.563139\pi\)
0.830353 + 0.557238i \(0.188139\pi\)
\(264\) −4.62887 3.85894i −0.284887 0.237501i
\(265\) −16.5540 + 24.7747i −1.01690 + 1.52190i
\(266\) 32.5224 + 11.1332i 1.99408 + 0.682620i
\(267\) 0.232884 0.0706447i 0.0142523 0.00432339i
\(268\) −3.25125 + 0.0897035i −0.198602 + 0.00547952i
\(269\) −15.3824 12.6240i −0.937880 0.769698i 0.0353873 0.999374i \(-0.488734\pi\)
−0.973267 + 0.229675i \(0.926234\pi\)
\(270\) 2.11880 4.64449i 0.128946 0.282655i
\(271\) −3.03075 1.25538i −0.184105 0.0762588i 0.288727 0.957412i \(-0.406768\pi\)
−0.472832 + 0.881153i \(0.656768\pi\)
\(272\) −8.11434 4.79674i −0.492004 0.290845i
\(273\) −0.926015 + 0.383568i −0.0560450 + 0.0232146i
\(274\) −0.458979 + 12.9985i −0.0277280 + 0.785266i
\(275\) 1.67706 + 17.0275i 0.101131 + 1.02680i
\(276\) −3.47536 15.2594i −0.209192 0.918506i
\(277\) 10.8915 20.3766i 0.654408 1.22431i −0.307658 0.951497i \(-0.599545\pi\)
0.962067 0.272815i \(-0.0879546\pi\)
\(278\) −2.53695 + 2.87788i −0.152156 + 0.172604i
\(279\) −1.85982 + 0.369941i −0.111344 + 0.0221478i
\(280\) 6.98144 33.7362i 0.417221 2.01612i
\(281\) 0.910062 4.57519i 0.0542897 0.272933i −0.944100 0.329659i \(-0.893066\pi\)
0.998390 + 0.0567261i \(0.0180662\pi\)
\(282\) −0.529970 0.0711584i −0.0315593 0.00423742i
\(283\) 1.30203 13.2198i 0.0773978 0.785833i −0.875636 0.482971i \(-0.839558\pi\)
0.953034 0.302862i \(-0.0979423\pi\)
\(284\) 26.4609 3.34533i 1.57016 0.198509i
\(285\) 7.54835 24.8836i 0.447126 1.47398i
\(286\) 0.883479 0.143531i 0.0522412 0.00848716i
\(287\) −23.9621 23.9621i −1.41444 1.41444i
\(288\) 4.64013 3.23562i 0.273422 0.190661i
\(289\) −8.09411 + 8.09411i −0.476124 + 0.476124i
\(290\) −14.9554 + 20.7573i −0.878210 + 1.21891i
\(291\) −1.08032 0.327711i −0.0633294 0.0192108i
\(292\) 17.8522 10.1849i 1.04472 0.596028i
\(293\) 8.60381 + 0.847402i 0.502640 + 0.0495057i 0.346160 0.938175i \(-0.387485\pi\)
0.156480 + 0.987681i \(0.449985\pi\)
\(294\) −3.76306 4.93030i −0.219466 0.287541i
\(295\) 25.9473 + 5.16124i 1.51071 + 0.300499i
\(296\) 0.246184 31.9210i 0.0143092 1.85537i
\(297\) 0.415672 + 2.08973i 0.0241198 + 0.121258i
\(298\) 0.118986 + 1.88981i 0.00689269 + 0.109474i
\(299\) 2.04994 + 1.09571i 0.118551 + 0.0633668i
\(300\) −15.8324 2.69763i −0.914084 0.155748i
\(301\) 14.7816 1.45586i 0.851996 0.0839143i
\(302\) −1.07030 + 0.997297i −0.0615891 + 0.0573880i
\(303\) 1.41699 + 3.42092i 0.0814041 + 0.196527i
\(304\) 21.2321 19.4801i 1.21774 1.11726i
\(305\) 3.80885 9.19538i 0.218094 0.526526i
\(306\) 1.16590 + 3.12203i 0.0666499 + 0.178475i
\(307\) 16.0746 19.5870i 0.917426 1.11789i −0.0752606 0.997164i \(-0.523979\pi\)
0.992686 0.120723i \(-0.0385211\pi\)
\(308\) 5.86685 + 13.1275i 0.334295 + 0.748011i
\(309\) −1.46213 4.82000i −0.0831778 0.274200i
\(310\) 4.25915 + 8.69296i 0.241903 + 0.493727i
\(311\) −2.31221 1.54497i −0.131113 0.0876071i 0.488284 0.872685i \(-0.337623\pi\)
−0.619397 + 0.785078i \(0.712623\pi\)
\(312\) −0.0887970 + 0.835466i −0.00502714 + 0.0472989i
\(313\) −5.15492 7.71488i −0.291373 0.436071i 0.656686 0.754164i \(-0.271958\pi\)
−0.948060 + 0.318093i \(0.896958\pi\)
\(314\) 0.257514 + 0.971034i 0.0145324 + 0.0547986i
\(315\) −9.41547 + 7.72708i −0.530502 + 0.435371i
\(316\) −20.8109 23.9778i −1.17070 1.34886i
\(317\) 14.2684 + 26.6943i 0.801394 + 1.49930i 0.865248 + 0.501343i \(0.167161\pi\)
−0.0638545 + 0.997959i \(0.520339\pi\)
\(318\) 11.3617 + 2.67999i 0.637132 + 0.150286i
\(319\) 10.6779i 0.597850i
\(320\) −22.0378 18.6621i −1.23195 1.04324i
\(321\) 12.8357i 0.716422i
\(322\) −8.57264 + 36.3433i −0.477735 + 2.02533i
\(323\) 8.00220 + 14.9711i 0.445254 + 0.833012i
\(324\) −1.99502 0.141065i −0.110834 0.00783696i
\(325\) 1.84391 1.51326i 0.102282 0.0839404i
\(326\) −16.9918 + 4.50616i −0.941089 + 0.249573i
\(327\) 1.32535 + 1.98352i 0.0732918 + 0.109689i
\(328\) −27.2454 + 8.03587i −1.50437 + 0.443707i
\(329\) 1.06082 + 0.708818i 0.0584850 + 0.0390784i
\(330\) 9.76758 4.78566i 0.537688 0.263442i
\(331\) −0.459900 1.51609i −0.0252784 0.0833316i 0.943394 0.331675i \(-0.107614\pi\)
−0.968672 + 0.248344i \(0.920114\pi\)
\(332\) 8.56444 22.4051i 0.470035 1.22964i
\(333\) −7.15983 + 8.72428i −0.392356 + 0.478088i
\(334\) 1.63511 0.610619i 0.0894694 0.0334116i
\(335\) 2.24648 5.42348i 0.122738 0.296316i
\(336\) −13.3387 + 2.06156i −0.727686 + 0.112467i
\(337\) −11.7428 28.3497i −0.639673 1.54431i −0.827116 0.562031i \(-0.810020\pi\)
0.187443 0.982275i \(-0.439980\pi\)
\(338\) 12.4481 + 13.3594i 0.677087 + 0.726653i
\(339\) −16.0212 + 1.57795i −0.870150 + 0.0857023i
\(340\) 13.8797 9.83842i 0.752730 0.533563i
\(341\) −3.56321 1.90458i −0.192959 0.103139i
\(342\) −10.1673 + 0.640156i −0.549786 + 0.0346157i
\(343\) −1.72097 8.65190i −0.0929236 0.467159i
\(344\) 4.85312 11.4656i 0.261663 0.618182i
\(345\) 27.7038 + 5.51062i 1.49152 + 0.296682i
\(346\) −15.6378 + 11.9355i −0.840691 + 0.641658i
\(347\) 20.3397 + 2.00329i 1.09189 + 0.107542i 0.627898 0.778295i \(-0.283915\pi\)
0.463996 + 0.885837i \(0.346415\pi\)
\(348\) 9.66811 + 2.64391i 0.518265 + 0.141729i
\(349\) −6.57366 1.99410i −0.351880 0.106742i 0.109396 0.993998i \(-0.465108\pi\)
−0.461276 + 0.887257i \(0.652608\pi\)
\(350\) 31.0908 + 22.4006i 1.66187 + 1.19736i
\(351\) 0.210043 0.210043i 0.0112113 0.0112113i
\(352\) 12.0159 + 0.942816i 0.640451 + 0.0502523i
\(353\) −1.59901 1.59901i −0.0851066 0.0851066i 0.663272 0.748378i \(-0.269167\pi\)
−0.748378 + 0.663272i \(0.769167\pi\)
\(354\) −1.66207 10.2306i −0.0883378 0.543748i
\(355\) −13.9739 + 46.0659i −0.741659 + 2.44492i
\(356\) −0.298282 + 0.384618i −0.0158089 + 0.0203847i
\(357\) 0.779388 7.91326i 0.0412496 0.418814i
\(358\) 1.62859 12.1294i 0.0860739 0.641057i
\(359\) 4.21564 21.1934i 0.222493 1.11855i −0.694454 0.719537i \(-0.744354\pi\)
0.916947 0.399010i \(-0.130646\pi\)
\(360\) 1.91457 + 10.0288i 0.100907 + 0.528564i
\(361\) −32.2601 + 6.41694i −1.69790 + 0.337734i
\(362\) 18.0880 + 15.9452i 0.950685 + 0.838061i
\(363\) 3.04535 5.69744i 0.159839 0.299038i
\(364\) 1.06731 1.69686i 0.0559425 0.0889399i
\(365\) 3.63603 + 36.9172i 0.190319 + 1.93234i
\(366\) −3.89692 0.137601i −0.203695 0.00719254i
\(367\) −3.38561 + 1.40237i −0.176727 + 0.0732029i −0.469293 0.883043i \(-0.655491\pi\)
0.292565 + 0.956246i \(0.405491\pi\)
\(368\) 23.3193 + 20.8786i 1.21560 + 1.08837i
\(369\) 9.27847 + 3.84327i 0.483018 + 0.200072i
\(370\) 52.4182 + 23.9130i 2.72509 + 1.24318i
\(371\) −21.5303 17.6695i −1.11780 0.917354i
\(372\) 2.60672 2.75465i 0.135152 0.142822i
\(373\) 19.4731 5.90710i 1.00828 0.305858i 0.257405 0.966304i \(-0.417133\pi\)
0.750874 + 0.660446i \(0.229633\pi\)
\(374\) −2.29973 + 6.71799i −0.118916 + 0.347379i
\(375\) 6.07715 9.09510i 0.313823 0.469669i
\(376\) 0.947033 0.496848i 0.0488395 0.0256230i
\(377\) −1.23777 + 0.827054i −0.0637486 + 0.0425955i
\(378\) 4.12647 + 2.39658i 0.212243 + 0.123267i
\(379\) −0.621318 0.757078i −0.0319150 0.0388885i 0.756808 0.653637i \(-0.226758\pi\)
−0.788723 + 0.614748i \(0.789258\pi\)
\(380\) 16.4635 + 49.3318i 0.844561 + 2.53067i
\(381\) −7.46339 + 3.98926i −0.382361 + 0.204376i
\(382\) −19.1858 31.0309i −0.981631 1.58768i
\(383\) 35.3357 1.80557 0.902785 0.430091i \(-0.141519\pi\)
0.902785 + 0.430091i \(0.141519\pi\)
\(384\) −3.82886 + 10.6461i −0.195391 + 0.543282i
\(385\) −25.9521 −1.32264
\(386\) −8.82192 14.2685i −0.449024 0.726246i
\(387\) −3.88211 + 2.07503i −0.197339 + 0.105480i
\(388\) 2.14174 0.714763i 0.108730 0.0362866i
\(389\) 2.10854 + 2.56926i 0.106907 + 0.130267i 0.823715 0.567004i \(-0.191898\pi\)
−0.716808 + 0.697271i \(0.754398\pi\)
\(390\) −1.31129 0.761576i −0.0663998 0.0385639i
\(391\) −15.3323 + 10.2447i −0.775386 + 0.518096i
\(392\) 11.8423 + 3.69230i 0.598128 + 0.186489i
\(393\) 4.01626 6.01075i 0.202593 0.303202i
\(394\) 6.98891 20.4161i 0.352096 1.02855i
\(395\) 54.8363 16.6344i 2.75911 0.836968i
\(396\) −3.09517 2.92897i −0.155538 0.147186i
\(397\) −22.1014 18.1382i −1.10924 0.910329i −0.112715 0.993627i \(-0.535955\pi\)
−0.996525 + 0.0832982i \(0.973455\pi\)
\(398\) −31.8914 14.5487i −1.59857 0.729262i
\(399\) 22.4567 + 9.30187i 1.12424 + 0.465676i
\(400\) 28.9532 13.9098i 1.44766 0.695492i
\(401\) −3.39919 + 1.40799i −0.169748 + 0.0703117i −0.465939 0.884817i \(-0.654283\pi\)
0.296191 + 0.955129i \(0.404283\pi\)
\(402\) −2.29842 0.0811580i −0.114635 0.00404779i
\(403\) 0.0552104 + 0.560561i 0.00275023 + 0.0279235i
\(404\) −6.26863 3.94292i −0.311876 0.196168i
\(405\) 1.70162 3.18351i 0.0845544 0.158190i
\(406\) −17.9395 15.8143i −0.890323 0.784850i
\(407\) −23.5849 + 4.69132i −1.16906 + 0.232540i
\(408\) −5.51324 3.74565i −0.272946 0.185437i
\(409\) −2.73853 + 13.7675i −0.135412 + 0.680761i 0.852121 + 0.523345i \(0.175316\pi\)
−0.987532 + 0.157416i \(0.949684\pi\)
\(410\) 6.82257 50.8128i 0.336942 2.50946i
\(411\) −0.901466 + 9.15274i −0.0444660 + 0.451471i
\(412\) 7.96043 + 6.17354i 0.392182 + 0.304148i
\(413\) −7.17869 + 23.6650i −0.353240 + 1.16448i
\(414\) −1.77458 10.9231i −0.0872157 0.536841i
\(415\) 30.6121 + 30.6121i 1.50269 + 1.50269i
\(416\) −0.821398 1.46590i −0.0402723 0.0718716i
\(417\) −1.91822 + 1.91822i −0.0939357 + 0.0939357i
\(418\) −17.6111 12.6886i −0.861389 0.620620i
\(419\) −4.23049 1.28330i −0.206673 0.0626935i 0.185251 0.982691i \(-0.440690\pi\)
−0.391924 + 0.919998i \(0.628190\pi\)
\(420\) 6.42586 23.4977i 0.313550 1.14657i
\(421\) 10.9651 + 1.07996i 0.534404 + 0.0526342i 0.361620 0.932326i \(-0.382224\pi\)
0.172784 + 0.984960i \(0.444724\pi\)
\(422\) −10.6800 + 8.15148i −0.519892 + 0.396808i
\(423\) −0.370843 0.0737653i −0.0180310 0.00358659i
\(424\) −21.6381 + 8.76789i −1.05084 + 0.425806i
\(425\) 3.69181 + 18.5600i 0.179079 + 0.900290i
\(426\) 18.8223 1.18509i 0.911945 0.0574180i
\(427\) 8.20515 + 4.38575i 0.397075 + 0.212241i
\(428\) −14.8456 20.9436i −0.717589 1.01235i
\(429\) 0.629857 0.0620355i 0.0304098 0.00299510i
\(430\) 15.3190 + 16.4405i 0.738750 + 0.792830i
\(431\) −2.57273 6.21113i −0.123924 0.299179i 0.849727 0.527224i \(-0.176767\pi\)
−0.973651 + 0.228044i \(0.926767\pi\)
\(432\) 3.41835 2.07723i 0.164465 0.0999408i
\(433\) −12.7265 + 30.7245i −0.611598 + 1.47653i 0.249647 + 0.968337i \(0.419685\pi\)
−0.861245 + 0.508191i \(0.830315\pi\)
\(434\) −8.47699 + 3.16566i −0.406908 + 0.151956i
\(435\) −11.4765 + 13.9841i −0.550254 + 0.670486i
\(436\) −4.45662 1.70356i −0.213433 0.0815859i
\(437\) −16.3630 53.9416i −0.782748 2.58037i
\(438\) 13.0510 6.39437i 0.623600 0.305535i
\(439\) 8.43765 + 5.63786i 0.402707 + 0.269080i 0.740387 0.672181i \(-0.234642\pi\)
−0.337680 + 0.941261i \(0.609642\pi\)
\(440\) −10.4024 + 19.1056i −0.495914 + 0.910823i
\(441\) −2.43656 3.64656i −0.116026 0.173646i
\(442\) 0.956866 0.253757i 0.0455135 0.0120700i
\(443\) −21.8342 + 17.9189i −1.03737 + 0.851351i −0.989065 0.147481i \(-0.952883\pi\)
−0.0483096 + 0.998832i \(0.515383\pi\)
\(444\) 1.59208 22.5160i 0.0755567 1.06856i
\(445\) −0.414113 0.774752i −0.0196309 0.0367268i
\(446\) −1.09684 + 4.65001i −0.0519370 + 0.220185i
\(447\) 1.33894i 0.0633298i
\(448\) 19.3799 18.7911i 0.915613 0.887795i
\(449\) 19.5816i 0.924114i −0.886850 0.462057i \(-0.847112\pi\)
0.886850 0.462057i \(-0.152888\pi\)
\(450\) −11.0532 2.60723i −0.521053 0.122906i
\(451\) 10.0870 + 18.8715i 0.474979 + 0.888623i
\(452\) 24.3161 21.1045i 1.14373 0.992670i
\(453\) −0.799637 + 0.656245i −0.0375702 + 0.0308331i
\(454\) 1.62658 + 6.13350i 0.0763391 + 0.287860i
\(455\) 2.01010 + 3.00833i 0.0942351 + 0.141033i
\(456\) 15.8492 12.8039i 0.742209 0.599596i
\(457\) −31.9163 21.3258i −1.49298 0.997578i −0.991169 0.132601i \(-0.957667\pi\)
−0.501812 0.864977i \(-0.667333\pi\)
\(458\) −14.5670 29.7313i −0.680670 1.38925i
\(459\) 0.684063 + 2.25505i 0.0319293 + 0.105257i
\(460\) −51.5767 + 23.0502i −2.40477 + 1.07472i
\(461\) 16.7208 20.3744i 0.778767 0.948930i −0.220885 0.975300i \(-0.570895\pi\)
0.999652 + 0.0263697i \(0.00839471\pi\)
\(462\) 3.55699 + 9.52490i 0.165486 + 0.443139i
\(463\) −4.78977 + 11.5635i −0.222600 + 0.537403i −0.995241 0.0974391i \(-0.968935\pi\)
0.772642 + 0.634842i \(0.218935\pi\)
\(464\) −18.8330 + 6.86799i −0.874299 + 0.318838i
\(465\) 2.61947 + 6.32395i 0.121475 + 0.293266i
\(466\) 17.5991 16.3986i 0.815262 0.759652i
\(467\) 6.69804 0.659700i 0.309949 0.0305273i 0.0581529 0.998308i \(-0.481479\pi\)
0.251796 + 0.967780i \(0.418979\pi\)
\(468\) −0.0997871 + 0.585651i −0.00461266 + 0.0270717i
\(469\) 4.83944 + 2.58673i 0.223464 + 0.119444i
\(470\) 0.121291 + 1.92641i 0.00559474 + 0.0888588i
\(471\) 0.138584 + 0.696710i 0.00638562 + 0.0321027i
\(472\) 14.5444 + 14.7705i 0.669460 + 0.679867i
\(473\) −9.19871 1.82974i −0.422957 0.0841314i
\(474\) −13.6210 17.8461i −0.625634 0.819697i
\(475\) −57.5686 5.67001i −2.64143 0.260158i
\(476\) 7.88063 + 13.8132i 0.361208 + 0.633126i
\(477\) 7.89897 + 2.39613i 0.361669 + 0.109711i
\(478\) 11.5527 16.0345i 0.528407 0.733401i
\(479\) −12.1274 + 12.1274i −0.554114 + 0.554114i −0.927625 0.373512i \(-0.878154\pi\)
0.373512 + 0.927625i \(0.378154\pi\)
\(480\) −14.7230 14.1492i −0.672012 0.645822i
\(481\) 2.37057 + 2.37057i 0.108089 + 0.108089i
\(482\) −29.0578 + 4.72076i −1.32355 + 0.215025i
\(483\) −7.66464 + 25.2669i −0.348753 + 1.14968i
\(484\) 1.62058 + 12.8185i 0.0736629 + 0.582659i
\(485\) −0.399435 + 4.05553i −0.0181374 + 0.184152i
\(486\) −1.40164 0.188196i −0.0635795 0.00853673i
\(487\) −1.22282 + 6.14752i −0.0554111 + 0.278571i −0.998550 0.0538277i \(-0.982858\pi\)
0.943139 + 0.332398i \(0.107858\pi\)
\(488\) 6.51760 4.28259i 0.295038 0.193864i
\(489\) −12.1915 + 2.42504i −0.551319 + 0.109664i
\(490\) −14.8051 + 16.7947i −0.668828 + 0.758709i
\(491\) 11.8097 22.0943i 0.532963 0.997104i −0.461001 0.887399i \(-0.652510\pi\)
0.993964 0.109704i \(-0.0349904\pi\)
\(492\) −19.5844 + 4.46039i −0.882931 + 0.201090i
\(493\) −1.15757 11.7530i −0.0521342 0.529327i
\(494\) −0.106787 + 3.02425i −0.00480459 + 0.136068i
\(495\) 7.10571 2.94328i 0.319378 0.132291i
\(496\) −1.06732 + 7.50954i −0.0479240 + 0.337188i
\(497\) −41.5731 17.2201i −1.86481 0.772429i
\(498\) 7.03953 15.4309i 0.315449 0.691476i
\(499\) −19.2672 15.8122i −0.862519 0.707851i 0.0952301 0.995455i \(-0.469641\pi\)
−0.957749 + 0.287604i \(0.907141\pi\)
\(500\) 0.603372 + 21.8689i 0.0269836 + 0.978005i
\(501\) 1.18105 0.358267i 0.0527653 0.0160062i
\(502\) −0.911328 0.311969i −0.0406746 0.0139239i
\(503\) −14.2432 + 21.3164i −0.635071 + 0.950451i 0.364742 + 0.931109i \(0.381157\pi\)
−0.999813 + 0.0193424i \(0.993843\pi\)
\(504\) −9.50485 + 0.862187i −0.423380 + 0.0384048i
\(505\) 11.1135 7.42581i 0.494545 0.330444i
\(506\) 11.8418 20.3893i 0.526430 0.906415i
\(507\) 8.19114 + 9.98093i 0.363781 + 0.443269i
\(508\) 7.56381 15.1411i 0.335590 0.671780i
\(509\) 5.87960 3.14271i 0.260609 0.139298i −0.335919 0.941891i \(-0.609047\pi\)
0.596527 + 0.802593i \(0.296547\pi\)
\(510\) 10.2322 6.32635i 0.453088 0.280135i
\(511\) −34.6759 −1.53397
\(512\) −6.06570 21.7992i −0.268069 0.963400i
\(513\) −7.20362 −0.318048
\(514\) 10.9993 6.80065i 0.485158 0.299964i
\(515\) −16.0350 + 8.57089i −0.706587 + 0.377679i
\(516\) 3.93434 7.87572i 0.173200 0.346709i
\(517\) −0.511082 0.622755i −0.0224773 0.0273887i
\(518\) −27.0481 + 46.5718i −1.18843 + 2.04625i
\(519\) −11.5660 + 7.72818i −0.507693 + 0.339230i
\(520\) 3.02041 0.273982i 0.132454 0.0120149i
\(521\) −0.897225 + 1.34279i −0.0393081 + 0.0588288i −0.850603 0.525808i \(-0.823763\pi\)
0.811295 + 0.584637i \(0.198763\pi\)
\(522\) 6.70540 + 2.29542i 0.293487 + 0.100468i
\(523\) 4.26306 1.29319i 0.186411 0.0565470i −0.195699 0.980664i \(-0.562698\pi\)
0.382110 + 0.924117i \(0.375198\pi\)
\(524\) 0.398755 + 14.4526i 0.0174197 + 0.631367i
\(525\) 20.9458 + 17.1897i 0.914148 + 0.750222i
\(526\) −7.25019 + 15.8927i −0.316123 + 0.692955i
\(527\) −4.12842 1.71005i −0.179837 0.0744908i
\(528\) 8.43786 + 1.19926i 0.367211 + 0.0521910i
\(529\) 35.3214 14.6306i 1.53571 0.636113i
\(530\) 1.48699 42.1121i 0.0645908 1.82923i
\(531\) −0.718362 7.29365i −0.0311742 0.316517i
\(532\) −47.4001 + 10.7955i −2.05505 + 0.468044i
\(533\) 1.40628 2.63096i 0.0609125 0.113959i
\(534\) −0.227590 + 0.258175i −0.00984879 + 0.0111723i
\(535\) 45.4435 9.03928i 1.96470 0.390802i
\(536\) 3.84411 2.52589i 0.166040 0.109102i
\(537\) 1.68826 8.48744i 0.0728537 0.366260i
\(538\) 27.8916 + 3.74497i 1.20249 + 0.161457i
\(539\) 0.915914 9.29943i 0.0394512 0.400555i
\(540\) 0.905520 + 7.16249i 0.0389674 + 0.308224i
\(541\) −6.36575 + 20.9851i −0.273685 + 0.902219i 0.707098 + 0.707116i \(0.250004\pi\)
−0.980783 + 0.195103i \(0.937496\pi\)
\(542\) 4.57924 0.743947i 0.196695 0.0319553i
\(543\) 12.0564 + 12.0564i 0.517389 + 0.517389i
\(544\) 13.3279 0.264878i 0.571428 0.0113565i
\(545\) 6.08909 6.08909i 0.260828 0.260828i
\(546\) 0.828611 1.15007i 0.0354613 0.0492184i
\(547\) −4.17868 1.26759i −0.178668 0.0541982i 0.199683 0.979861i \(-0.436009\pi\)
−0.378351 + 0.925662i \(0.623509\pi\)
\(548\) −9.11500 15.9768i −0.389374 0.682495i
\(549\) −2.74398 0.270258i −0.117110 0.0115343i
\(550\) −14.6808 19.2346i −0.625992 0.820165i
\(551\) 35.4076 + 7.04302i 1.50842 + 0.300043i
\(552\) 15.5290 + 15.7704i 0.660957 + 0.671231i
\(553\) 10.4501 + 52.5363i 0.444385 + 2.23407i
\(554\) 2.05323 + 32.6105i 0.0872333 + 1.38549i
\(555\) 35.9295 + 19.2047i 1.52512 + 0.815195i
\(556\) 0.911308 5.34847i 0.0386481 0.226826i
\(557\) 29.8338 2.93837i 1.26410 0.124503i 0.556338 0.830956i \(-0.312206\pi\)
0.707760 + 0.706453i \(0.249706\pi\)
\(558\) 1.96199 1.82816i 0.0830575 0.0773920i
\(559\) 0.500380 + 1.20802i 0.0211638 + 0.0510940i
\(560\) 16.6922 + 45.7724i 0.705375 + 1.93424i
\(561\) −1.92144 + 4.63877i −0.0811233 + 0.195849i
\(562\) 2.30793 + 6.18018i 0.0973543 + 0.260695i
\(563\) −2.83429 + 3.45359i −0.119451 + 0.145552i −0.829303 0.558800i \(-0.811262\pi\)
0.709851 + 0.704351i \(0.248762\pi\)
\(564\) 0.690406 0.308550i 0.0290713 0.0129923i
\(565\) 16.8691 + 55.6099i 0.709688 + 2.33953i
\(566\) 8.26551 + 16.8700i 0.347425 + 0.709098i
\(567\) 2.80560 + 1.87464i 0.117824 + 0.0787276i
\(568\) −29.3410 + 23.7032i −1.23112 + 0.994565i
\(569\) −2.90154 4.34245i −0.121639 0.182045i 0.765653 0.643254i \(-0.222416\pi\)
−0.887292 + 0.461209i \(0.847416\pi\)
\(570\) 9.42651 + 35.5455i 0.394833 + 1.48884i
\(571\) 17.7727 14.5857i 0.743765 0.610392i −0.184274 0.982875i \(-0.558993\pi\)
0.928039 + 0.372483i \(0.121493\pi\)
\(572\) −0.955964 + 0.829702i −0.0399709 + 0.0346916i
\(573\) −12.1608 22.7513i −0.508025 0.950447i
\(574\) 46.6442 + 11.0024i 1.94689 + 0.459232i
\(575\) 62.8375i 2.62051i
\(576\) −3.17510 + 7.34294i −0.132296 + 0.305956i
\(577\) 44.6059i 1.85697i −0.371371 0.928484i \(-0.621112\pi\)
0.371371 0.928484i \(-0.378888\pi\)
\(578\) 3.71647 15.7558i 0.154585 0.655356i
\(579\) −5.59172 10.4614i −0.232384 0.434760i
\(580\) 2.55193 36.0908i 0.105963 1.49859i
\(581\) −31.2821 + 25.6726i −1.29780 + 1.06508i
\(582\) 1.54320 0.409251i 0.0639678 0.0169640i
\(583\) 9.77102 + 14.6234i 0.404674 + 0.605638i
\(584\) −13.8992 + 25.5280i −0.575152 + 1.05636i
\(585\) −0.891551 0.595716i −0.0368611 0.0246298i
\(586\) −10.9795 + 5.37944i −0.453558 + 0.222223i
\(587\) −13.2556 43.6980i −0.547119 1.80361i −0.593690 0.804694i \(-0.702330\pi\)
0.0465716 0.998915i \(-0.485170\pi\)
\(588\) 8.19318 + 3.13188i 0.337881 + 0.129157i
\(589\) 8.66574 10.5592i 0.357066 0.435086i
\(590\) −35.0497 + 13.0890i −1.44297 + 0.538866i
\(591\) 5.83929 14.0973i 0.240196 0.579885i
\(592\) 23.4439 + 38.5799i 0.963537 + 1.58562i
\(593\) 16.6223 + 40.1299i 0.682597 + 1.64794i 0.759187 + 0.650873i \(0.225597\pi\)
−0.0765896 + 0.997063i \(0.524403\pi\)
\(594\) −2.05415 2.20453i −0.0842828 0.0904528i
\(595\) −28.5649 + 2.81339i −1.17105 + 0.115338i
\(596\) −1.54860 2.18470i −0.0634329 0.0894888i
\(597\) −21.8596 11.6842i −0.894654 0.478203i
\(598\) −3.28070 + 0.206560i −0.134158 + 0.00844686i
\(599\) −5.09492 25.6139i −0.208173 1.04656i −0.933616 0.358274i \(-0.883365\pi\)
0.725444 0.688282i \(-0.241635\pi\)
\(600\) 21.0506 8.52983i 0.859386 0.348229i
\(601\) 25.7485 + 5.12170i 1.05030 + 0.208919i 0.689920 0.723885i \(-0.257646\pi\)
0.360384 + 0.932804i \(0.382646\pi\)
\(602\) −16.6976 + 12.7444i −0.680542 + 0.519424i
\(603\) −1.61841 0.159400i −0.0659068 0.00649126i
\(604\) 0.545736 1.99562i 0.0222057 0.0812004i
\(605\) −22.3158 6.76942i −0.907266 0.275216i
\(606\) −4.24863 3.06109i −0.172589 0.124348i
\(607\) −26.3099 + 26.3099i −1.06788 + 1.06788i −0.0703632 + 0.997521i \(0.522416\pi\)
−0.997521 + 0.0703632i \(0.977584\pi\)
\(608\) −11.0519 + 39.2225i −0.448213 + 1.59068i
\(609\) −11.9574 11.9574i −0.484538 0.484538i
\(610\) 2.25716 + 13.8935i 0.0913895 + 0.562532i
\(611\) −0.0326034 + 0.107479i −0.00131899 + 0.00434814i
\(612\) −3.72431 2.88831i −0.150546 0.116753i
\(613\) −0.952598 + 9.67189i −0.0384751 + 0.390644i 0.956591 + 0.291433i \(0.0941319\pi\)
−0.995066 + 0.0992112i \(0.968368\pi\)
\(614\) −4.76860 + 35.5154i −0.192445 + 1.43328i
\(615\) 7.07251 35.5559i 0.285191 1.43375i
\(616\) −16.8201 11.4275i −0.677703 0.460426i
\(617\) 2.72071 0.541183i 0.109532 0.0217872i −0.140020 0.990149i \(-0.544717\pi\)
0.249552 + 0.968361i \(0.419717\pi\)
\(618\) 5.34344 + 4.71043i 0.214945 + 0.189481i
\(619\) −17.8807 + 33.4525i −0.718687 + 1.34457i 0.211462 + 0.977386i \(0.432178\pi\)
−0.930149 + 0.367183i \(0.880322\pi\)
\(620\) −11.5883 7.28892i −0.465395 0.292730i
\(621\) −0.766990 7.78738i −0.0307783 0.312497i
\(622\) 3.93029 + 0.138780i 0.157590 + 0.00556457i
\(623\) 0.758666 0.314250i 0.0303953 0.0125901i
\(624\) −0.514534 1.07100i −0.0205978 0.0428741i
\(625\) 0.615206 + 0.254827i 0.0246082 + 0.0101931i
\(626\) 11.9383 + 5.44622i 0.477152 + 0.217675i
\(627\) −11.8646 9.73699i −0.473825 0.388858i
\(628\) −1.03192 0.976510i −0.0411783 0.0389670i
\(629\) −25.4508 + 7.72041i −1.01479 + 0.307833i
\(630\) 5.57887 16.2970i 0.222267 0.649290i
\(631\) −1.00447 + 1.50330i −0.0399874 + 0.0598454i −0.850925 0.525288i \(-0.823958\pi\)
0.810937 + 0.585133i \(0.198958\pi\)
\(632\) 42.8653 + 13.3649i 1.70509 + 0.531627i
\(633\) −7.89914 + 5.27804i −0.313963 + 0.209783i
\(634\) −37.0159 21.4982i −1.47009 0.853803i
\(635\) 19.3795 + 23.6139i 0.769051 + 0.937091i
\(636\) −15.6598 + 5.22614i −0.620950 + 0.207230i
\(637\) −1.14892 + 0.614111i −0.0455219 + 0.0243320i
\(638\) 7.94130 + 12.8442i 0.314399 + 0.508505i
\(639\) 13.3358 0.527554
\(640\) 40.3878 + 6.05836i 1.59647 + 0.239478i
\(641\) −27.2414 −1.07597 −0.537986 0.842954i \(-0.680815\pi\)
−0.537986 + 0.842954i \(0.680815\pi\)
\(642\) −9.54609 15.4397i −0.376754 0.609357i
\(643\) −11.7474 + 6.27909i −0.463270 + 0.247623i −0.686482 0.727147i \(-0.740846\pi\)
0.223212 + 0.974770i \(0.428346\pi\)
\(644\) −16.7172 50.0918i −0.658749 1.97389i
\(645\) 10.0803 + 12.2829i 0.396911 + 0.483638i
\(646\) −20.7597 12.0569i −0.816781 0.474372i
\(647\) −24.1150 + 16.1131i −0.948059 + 0.633473i −0.930468 0.366373i \(-0.880600\pi\)
−0.0175906 + 0.999845i \(0.505600\pi\)
\(648\) 2.50466 1.31403i 0.0983923 0.0516201i
\(649\) 8.67552 12.9838i 0.340544 0.509660i
\(650\) −1.09256 + 3.19159i −0.0428535 + 0.125184i
\(651\) −6.12295 + 1.85738i −0.239977 + 0.0727963i
\(652\) 17.0876 18.0573i 0.669204 0.707179i
\(653\) 20.5621 + 16.8748i 0.804655 + 0.660363i 0.944024 0.329877i \(-0.107007\pi\)
−0.139369 + 0.990241i \(0.544507\pi\)
\(654\) −3.06938 1.40024i −0.120022 0.0547538i
\(655\) −24.1088 9.98618i −0.942007 0.390192i
\(656\) 26.7962 29.9288i 1.04622 1.16852i
\(657\) 9.49432 3.93268i 0.370409 0.153428i
\(658\) −1.80319 0.0636710i −0.0702955 0.00248216i
\(659\) −4.85497 49.2933i −0.189123 1.92020i −0.356486 0.934301i \(-0.616025\pi\)
0.167363 0.985895i \(-0.446475\pi\)
\(660\) −8.18997 + 13.0208i −0.318794 + 0.506833i
\(661\) 18.8824 35.3264i 0.734439 1.37404i −0.185763 0.982595i \(-0.559476\pi\)
0.920202 0.391444i \(-0.128024\pi\)
\(662\) 1.68073 + 1.48162i 0.0653234 + 0.0575848i
\(663\) 0.686545 0.136562i 0.0266632 0.00530364i
\(664\) 6.36100 + 33.3198i 0.246855 + 1.29306i
\(665\) 17.1176 86.0560i 0.663792 3.33711i
\(666\) 2.12400 15.8190i 0.0823032 0.612974i
\(667\) −3.84381 + 39.0269i −0.148833 + 1.51113i
\(668\) −1.51270 + 1.95055i −0.0585282 + 0.0754689i
\(669\) −0.980666 + 3.23282i −0.0379147 + 0.124988i
\(670\) 1.33128 + 8.19446i 0.0514319 + 0.316580i
\(671\) −4.15411 4.15411i −0.160367 0.160367i
\(672\) 14.5115 12.3999i 0.559793 0.478338i
\(673\) −17.3544 + 17.3544i −0.668965 + 0.668965i −0.957476 0.288512i \(-0.906840\pi\)
0.288512 + 0.957476i \(0.406840\pi\)
\(674\) 35.2091 + 25.3677i 1.35620 + 0.977128i
\(675\) −7.68451 2.33107i −0.295777 0.0897229i
\(676\) −24.9089 6.81178i −0.958035 0.261991i
\(677\) 11.5594 + 1.13850i 0.444264 + 0.0437562i 0.317676 0.948199i \(-0.397098\pi\)
0.126588 + 0.991955i \(0.459598\pi\)
\(678\) 18.0978 13.8132i 0.695043 0.530492i
\(679\) −3.73612 0.743159i −0.143379 0.0285198i
\(680\) −9.37848 + 22.1568i −0.359648 + 0.849674i
\(681\) 0.875362 + 4.40074i 0.0335440 + 0.168637i
\(682\) 5.70253 0.359043i 0.218361 0.0137485i
\(683\) 20.0876 + 10.7370i 0.768629 + 0.410841i 0.808599 0.588360i \(-0.200226\pi\)
−0.0399698 + 0.999201i \(0.512726\pi\)
\(684\) 11.7539 8.33157i 0.449420 0.318566i
\(685\) 33.0391 3.25407i 1.26236 0.124332i
\(686\) 8.50461 + 9.12720i 0.324708 + 0.348478i
\(687\) −8.95900 21.6289i −0.341807 0.825195i
\(688\) 2.68940 + 17.4009i 0.102532 + 0.663403i
\(689\) 0.938314 2.26529i 0.0357469 0.0863007i
\(690\) −37.4223 + 13.9750i −1.42464 + 0.532021i
\(691\) 5.08478 6.19582i 0.193434 0.235700i −0.667257 0.744827i \(-0.732532\pi\)
0.860691 + 0.509127i \(0.170032\pi\)
\(692\) 9.93359 25.9869i 0.377619 0.987872i
\(693\) 2.08698 + 6.87986i 0.0792779 + 0.261344i
\(694\) −25.9559 + 12.7172i −0.985273 + 0.482738i
\(695\) 8.14211 + 5.44039i 0.308848 + 0.206366i
\(696\) −13.5958 + 4.01000i −0.515346 + 0.151999i
\(697\) 13.1484 + 19.6779i 0.498030 + 0.745354i
\(698\) 9.39028 2.49026i 0.355427 0.0942579i
\(699\) 13.1485 10.7907i 0.497321 0.408141i
\(700\) −54.0577 3.82236i −2.04319 0.144471i
\(701\) 6.70206 + 12.5387i 0.253133 + 0.473579i 0.976105 0.217298i \(-0.0697244\pi\)
−0.722972 + 0.690877i \(0.757224\pi\)
\(702\) −0.0964429 + 0.408865i −0.00364000 + 0.0154316i
\(703\) 81.3008i 3.06632i
\(704\) −15.1548 + 7.80230i −0.571167 + 0.294060i
\(705\) 1.36488i 0.0514042i
\(706\) 3.11260 + 0.734197i 0.117144 + 0.0276319i
\(707\) 5.88971 + 11.0189i 0.221505 + 0.414407i
\(708\) 9.60783 + 11.0699i 0.361084 + 0.416033i
\(709\) −16.9130 + 13.8801i −0.635180 + 0.521279i −0.895969 0.444117i \(-0.853517\pi\)
0.260788 + 0.965396i \(0.416017\pi\)
\(710\) −17.4509 65.8038i −0.654920 2.46957i
\(711\) −8.81953 13.1994i −0.330758 0.495014i
\(712\) 0.0727497 0.684481i 0.00272641 0.0256520i
\(713\) 12.3376 + 8.24372i 0.462047 + 0.308730i
\(714\) 4.94767 + 10.0982i 0.185162 + 0.377917i
\(715\) −0.663192 2.18625i −0.0248020 0.0817612i
\(716\) 7.06176 + 15.8012i 0.263910 + 0.590520i
\(717\) 8.86529 10.8024i 0.331080 0.403422i
\(718\) 10.6909 + 28.6282i 0.398982 + 1.06839i
\(719\) 6.91380 16.6914i 0.257841 0.622484i −0.740954 0.671556i \(-0.765626\pi\)
0.998795 + 0.0490719i \(0.0156263\pi\)
\(720\) −9.76150 10.6394i −0.363790 0.396509i
\(721\) −6.50401 15.7021i −0.242222 0.584776i
\(722\) 34.0324 31.7109i 1.26655 1.18016i
\(723\) −20.7161 + 2.04036i −0.770441 + 0.0758818i
\(724\) −33.6161 5.72774i −1.24933 0.212870i
\(725\) 35.4922 + 18.9710i 1.31815 + 0.704565i
\(726\) 0.574097 + 9.11814i 0.0213068 + 0.338406i
\(727\) −0.212620 1.06891i −0.00788562 0.0396437i 0.976642 0.214872i \(-0.0689335\pi\)
−0.984528 + 0.175229i \(0.943934\pi\)
\(728\) −0.0218634 + 2.83488i −0.000810313 + 0.105068i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −31.8294 41.7025i −1.17806 1.54348i
\(731\) −10.3232 1.01674i −0.381816 0.0376056i
\(732\) 4.78982 2.73267i 0.177037 0.101002i
\(733\) −27.0876 8.21692i −1.00050 0.303499i −0.252789 0.967521i \(-0.581348\pi\)
−0.747712 + 0.664023i \(0.768848\pi\)
\(734\) 3.02949 4.20478i 0.111821 0.155201i
\(735\) −11.1944 + 11.1944i −0.412910 + 0.412910i
\(736\) −43.5777 7.77136i −1.60630 0.286456i
\(737\) −2.45011 2.45011i −0.0902510 0.0902510i
\(738\) −14.0191 + 2.27755i −0.516049 + 0.0838378i
\(739\) −4.39788 + 14.4979i −0.161779 + 0.533312i −0.999926 0.0121307i \(-0.996139\pi\)
0.838148 + 0.545443i \(0.183639\pi\)
\(740\) −80.8366 + 10.2198i −2.97161 + 0.375687i
\(741\) −0.209737 + 2.12950i −0.00770489 + 0.0782291i
\(742\) 39.0392 + 5.24174i 1.43317 + 0.192430i
\(743\) −2.06682 + 10.3906i −0.0758244 + 0.381195i −1.00000 0.000773726i \(-0.999754\pi\)
0.924175 + 0.381968i \(0.124754\pi\)
\(744\) −1.08689 + 5.25213i −0.0398472 + 0.192552i
\(745\) 4.74037 0.942919i 0.173674 0.0345459i
\(746\) −19.0304 + 21.5878i −0.696753 + 0.790386i
\(747\) 5.65350 10.5770i 0.206851 0.386991i
\(748\) −2.22997 9.79120i −0.0815359 0.358002i
\(749\) 4.24525 + 43.1027i 0.155118 + 1.57494i
\(750\) −0.545892 + 15.4599i −0.0199332 + 0.564514i
\(751\) 20.9477 8.67684i 0.764394 0.316622i 0.0337946 0.999429i \(-0.489241\pi\)
0.730599 + 0.682806i \(0.239241\pi\)
\(752\) −0.769645 + 1.30196i −0.0280661 + 0.0474776i
\(753\) −0.629271 0.260653i −0.0229319 0.00949871i
\(754\) 0.873791 1.91538i 0.0318216 0.0697542i
\(755\) 2.88649 + 2.36888i 0.105050 + 0.0862124i
\(756\) −6.74597 + 0.186125i −0.245349 + 0.00676929i
\(757\) 43.5223 13.2024i 1.58185 0.479848i 0.627516 0.778604i \(-0.284072\pi\)
0.954330 + 0.298756i \(0.0965717\pi\)
\(758\) 1.31041 + 0.448585i 0.0475963 + 0.0162933i
\(759\) 9.26280 13.8628i 0.336218 0.503186i
\(760\) −56.4921 47.0956i −2.04918 1.70834i
\(761\) 23.2311 15.5225i 0.842127 0.562692i −0.0580008 0.998317i \(-0.518473\pi\)
0.900128 + 0.435625i \(0.143473\pi\)
\(762\) 6.01062 10.3492i 0.217742 0.374911i
\(763\) 5.10656 + 6.22236i 0.184870 + 0.225265i
\(764\) 46.1560 + 23.0574i 1.66987 + 0.834187i
\(765\) 7.50203 4.00992i 0.271236 0.144979i
\(766\) −42.5042 + 26.2796i −1.53574 + 0.949519i
\(767\) −2.17703 −0.0786079
\(768\) −3.31202 15.6535i −0.119512 0.564845i
\(769\) −11.2725 −0.406498 −0.203249 0.979127i \(-0.565150\pi\)
−0.203249 + 0.979127i \(0.565150\pi\)
\(770\) 31.2169 19.3008i 1.12498 0.695554i
\(771\) 8.06447 4.31055i 0.290435 0.155241i
\(772\) 21.2232 + 10.6021i 0.763841 + 0.381580i
\(773\) −23.1461 28.2036i −0.832506 1.01441i −0.999595 0.0284697i \(-0.990937\pi\)