Properties

Label 144.2.x.e.13.3
Level $144$
Weight $2$
Character 144.13
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 13.3
Character \(\chi\) \(=\) 144.13
Dual form 144.2.x.e.133.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17822 - 0.782180i) q^{2} +(1.34849 + 1.08700i) q^{3} +(0.776390 + 1.84315i) q^{4} +(-0.777246 - 2.90072i) q^{5} +(-0.738585 - 2.33549i) q^{6} +(1.04527 - 0.603486i) q^{7} +(0.526922 - 2.77891i) q^{8} +(0.636858 + 2.93162i) q^{9} +O(q^{10})\) \(q+(-1.17822 - 0.782180i) q^{2} +(1.34849 + 1.08700i) q^{3} +(0.776390 + 1.84315i) q^{4} +(-0.777246 - 2.90072i) q^{5} +(-0.738585 - 2.33549i) q^{6} +(1.04527 - 0.603486i) q^{7} +(0.526922 - 2.77891i) q^{8} +(0.636858 + 2.93162i) q^{9} +(-1.35312 + 4.02562i) q^{10} +(5.09718 + 1.36579i) q^{11} +(-0.956555 + 3.32941i) q^{12} +(2.02149 - 0.541655i) q^{13} +(-1.70359 - 0.106550i) q^{14} +(2.10498 - 4.75646i) q^{15} +(-2.79444 + 2.86201i) q^{16} -3.20404 q^{17} +(1.54270 - 3.95222i) q^{18} +(-1.87633 - 1.87633i) q^{19} +(4.74303 - 3.68467i) q^{20} +(2.06553 + 0.322412i) q^{21} +(-4.93730 - 5.59610i) q^{22} +(-3.61927 - 2.08959i) q^{23} +(3.73123 - 3.17457i) q^{24} +(-3.47994 + 2.00914i) q^{25} +(-2.80542 - 0.942977i) q^{26} +(-2.32788 + 4.64553i) q^{27} +(1.92385 + 1.45805i) q^{28} +(-2.12804 + 7.94194i) q^{29} +(-6.20053 + 3.95768i) q^{30} +(1.39155 - 2.41023i) q^{31} +(5.53106 - 1.18632i) q^{32} +(5.38890 + 7.38239i) q^{33} +(3.77505 + 2.50613i) q^{34} +(-2.56298 - 2.56298i) q^{35} +(-4.90898 + 3.44991i) q^{36} +(-5.10207 + 5.10207i) q^{37} +(0.743096 + 3.67835i) q^{38} +(3.31474 + 1.46694i) q^{39} +(-8.47040 + 0.631444i) q^{40} +(-9.93271 - 5.73465i) q^{41} +(-2.18145 - 1.99548i) q^{42} +(1.09409 + 0.293160i) q^{43} +(1.44005 + 10.4553i) q^{44} +(8.00882 - 4.12594i) q^{45} +(2.62985 + 5.29290i) q^{46} +(-1.84507 - 3.19576i) q^{47} +(-6.87929 + 0.821845i) q^{48} +(-2.77161 + 4.80057i) q^{49} +(5.67164 + 0.354731i) q^{50} +(-4.32062 - 3.48279i) q^{51} +(2.56782 + 3.30537i) q^{52} +(-0.613957 + 0.613957i) q^{53} +(6.37639 - 3.65263i) q^{54} -15.8471i q^{55} +(-1.12626 - 3.22270i) q^{56} +(-0.490642 - 4.56978i) q^{57} +(8.71931 - 7.69282i) q^{58} +(3.16461 + 11.8105i) q^{59} +(10.4012 + 0.186926i) q^{60} +(1.98418 - 7.40505i) q^{61} +(-3.52478 + 1.75134i) q^{62} +(2.43488 + 2.68000i) q^{63} +(-7.44471 - 2.92854i) q^{64} +(-3.14238 - 5.44277i) q^{65} +(-0.574932 - 12.9131i) q^{66} +(9.86577 - 2.64353i) q^{67} +(-2.48758 - 5.90554i) q^{68} +(-2.60917 - 6.75194i) q^{69} +(1.01503 + 5.02445i) q^{70} +12.8889i q^{71} +(8.48230 - 0.225037i) q^{72} -2.87605i q^{73} +(10.0021 - 2.02061i) q^{74} +(-6.87661 - 1.07338i) q^{75} +(2.00160 - 4.91512i) q^{76} +(6.15216 - 1.64847i) q^{77} +(-2.75807 - 4.32109i) q^{78} +(-0.913281 - 1.58185i) q^{79} +(10.4739 + 5.88139i) q^{80} +(-8.18882 + 3.73406i) q^{81} +(7.21736 + 14.5258i) q^{82} +(0.757618 - 2.82747i) q^{83} +(1.00940 + 4.05740i) q^{84} +(2.49032 + 9.29402i) q^{85} +(-1.05977 - 1.20118i) q^{86} +(-11.5025 + 8.39646i) q^{87} +(6.48122 - 13.4450i) q^{88} +2.11965i q^{89} +(-12.6634 - 1.40309i) q^{90} +(1.78611 - 1.78611i) q^{91} +(1.04147 - 8.29321i) q^{92} +(4.49642 - 1.73756i) q^{93} +(-0.325762 + 5.20848i) q^{94} +(-3.98433 + 6.90107i) q^{95} +(8.74812 + 4.41252i) q^{96} +(-3.06298 - 5.30524i) q^{97} +(7.02046 - 3.48821i) q^{98} +(-0.757786 + 15.8128i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17822 0.782180i −0.833125 0.553085i
\(3\) 1.34849 + 1.08700i 0.778552 + 0.627580i
\(4\) 0.776390 + 1.84315i 0.388195 + 0.921577i
\(5\) −0.777246 2.90072i −0.347595 1.29724i −0.889551 0.456835i \(-0.848983\pi\)
0.541957 0.840406i \(-0.317684\pi\)
\(6\) −0.738585 2.33549i −0.301526 0.953458i
\(7\) 1.04527 0.603486i 0.395074 0.228096i −0.289282 0.957244i \(-0.593417\pi\)
0.684357 + 0.729148i \(0.260083\pi\)
\(8\) 0.526922 2.77891i 0.186295 0.982494i
\(9\) 0.636858 + 2.93162i 0.212286 + 0.977208i
\(10\) −1.35312 + 4.02562i −0.427894 + 1.27301i
\(11\) 5.09718 + 1.36579i 1.53686 + 0.411800i 0.925249 0.379360i \(-0.123856\pi\)
0.611609 + 0.791160i \(0.290522\pi\)
\(12\) −0.956555 + 3.32941i −0.276134 + 0.961119i
\(13\) 2.02149 0.541655i 0.560659 0.150228i 0.0326501 0.999467i \(-0.489605\pi\)
0.528009 + 0.849239i \(0.322939\pi\)
\(14\) −1.70359 0.106550i −0.455303 0.0284768i
\(15\) 2.10498 4.75646i 0.543503 1.22811i
\(16\) −2.79444 + 2.86201i −0.698609 + 0.715503i
\(17\) −3.20404 −0.777093 −0.388547 0.921429i \(-0.627023\pi\)
−0.388547 + 0.921429i \(0.627023\pi\)
\(18\) 1.54270 3.95222i 0.363617 0.931548i
\(19\) −1.87633 1.87633i −0.430459 0.430459i 0.458325 0.888784i \(-0.348449\pi\)
−0.888784 + 0.458325i \(0.848449\pi\)
\(20\) 4.74303 3.68467i 1.06057 0.823918i
\(21\) 2.06553 + 0.322412i 0.450735 + 0.0703561i
\(22\) −4.93730 5.59610i −1.05264 1.19309i
\(23\) −3.61927 2.08959i −0.754670 0.435709i 0.0727090 0.997353i \(-0.476836\pi\)
−0.827379 + 0.561644i \(0.810169\pi\)
\(24\) 3.73123 3.17457i 0.761634 0.648007i
\(25\) −3.47994 + 2.00914i −0.695988 + 0.401829i
\(26\) −2.80542 0.942977i −0.550188 0.184933i
\(27\) −2.32788 + 4.64553i −0.448000 + 0.894033i
\(28\) 1.92385 + 1.45805i 0.363574 + 0.275546i
\(29\) −2.12804 + 7.94194i −0.395166 + 1.47478i 0.426330 + 0.904568i \(0.359806\pi\)
−0.821496 + 0.570214i \(0.806860\pi\)
\(30\) −6.20053 + 3.95768i −1.13206 + 0.722569i
\(31\) 1.39155 2.41023i 0.249930 0.432891i −0.713576 0.700577i \(-0.752926\pi\)
0.963506 + 0.267687i \(0.0862592\pi\)
\(32\) 5.53106 1.18632i 0.977763 0.209714i
\(33\) 5.38890 + 7.38239i 0.938087 + 1.28511i
\(34\) 3.77505 + 2.50613i 0.647416 + 0.429798i
\(35\) −2.56298 2.56298i −0.433222 0.433222i
\(36\) −4.90898 + 3.44991i −0.818164 + 0.574985i
\(37\) −5.10207 + 5.10207i −0.838775 + 0.838775i −0.988698 0.149922i \(-0.952098\pi\)
0.149922 + 0.988698i \(0.452098\pi\)
\(38\) 0.743096 + 3.67835i 0.120546 + 0.596707i
\(39\) 3.31474 + 1.46694i 0.530783 + 0.234898i
\(40\) −8.47040 + 0.631444i −1.33929 + 0.0998400i
\(41\) −9.93271 5.73465i −1.55123 0.895602i −0.998042 0.0625444i \(-0.980078\pi\)
−0.553186 0.833058i \(-0.686588\pi\)
\(42\) −2.18145 1.99548i −0.336606 0.307910i
\(43\) 1.09409 + 0.293160i 0.166847 + 0.0447065i 0.341275 0.939963i \(-0.389141\pi\)
−0.174428 + 0.984670i \(0.555808\pi\)
\(44\) 1.44005 + 10.4553i 0.217095 + 1.57619i
\(45\) 8.00882 4.12594i 1.19388 0.615059i
\(46\) 2.62985 + 5.29290i 0.387751 + 0.780396i
\(47\) −1.84507 3.19576i −0.269132 0.466150i 0.699506 0.714627i \(-0.253403\pi\)
−0.968638 + 0.248477i \(0.920070\pi\)
\(48\) −6.87929 + 0.821845i −0.992939 + 0.118623i
\(49\) −2.77161 + 4.80057i −0.395944 + 0.685795i
\(50\) 5.67164 + 0.354731i 0.802091 + 0.0501665i
\(51\) −4.32062 3.48279i −0.605007 0.487688i
\(52\) 2.56782 + 3.30537i 0.356092 + 0.458373i
\(53\) −0.613957 + 0.613957i −0.0843335 + 0.0843335i −0.748015 0.663682i \(-0.768993\pi\)
0.663682 + 0.748015i \(0.268993\pi\)
\(54\) 6.37639 3.65263i 0.867716 0.497060i
\(55\) 15.8471i 2.13682i
\(56\) −1.12626 3.22270i −0.150503 0.430651i
\(57\) −0.490642 4.56978i −0.0649871 0.605282i
\(58\) 8.71931 7.69282i 1.14490 1.01012i
\(59\) 3.16461 + 11.8105i 0.411997 + 1.53759i 0.790776 + 0.612106i \(0.209677\pi\)
−0.378779 + 0.925487i \(0.623656\pi\)
\(60\) 10.4012 + 0.186926i 1.34279 + 0.0241320i
\(61\) 1.98418 7.40505i 0.254048 0.948119i −0.714570 0.699564i \(-0.753378\pi\)
0.968618 0.248555i \(-0.0799557\pi\)
\(62\) −3.52478 + 1.75134i −0.447648 + 0.222420i
\(63\) 2.43488 + 2.68000i 0.306766 + 0.337648i
\(64\) −7.44471 2.92854i −0.930588 0.366068i
\(65\) −3.14238 5.44277i −0.389765 0.675092i
\(66\) −0.574932 12.9131i −0.0707692 1.58950i
\(67\) 9.86577 2.64353i 1.20530 0.322958i 0.400381 0.916349i \(-0.368878\pi\)
0.804915 + 0.593391i \(0.202211\pi\)
\(68\) −2.48758 5.90554i −0.301664 0.716152i
\(69\) −2.60917 6.75194i −0.314107 0.812838i
\(70\) 1.01503 + 5.02445i 0.121320 + 0.600536i
\(71\) 12.8889i 1.52963i 0.644251 + 0.764814i \(0.277169\pi\)
−0.644251 + 0.764814i \(0.722831\pi\)
\(72\) 8.48230 0.225037i 0.999648 0.0265208i
\(73\) 2.87605i 0.336616i −0.985734 0.168308i \(-0.946170\pi\)
0.985734 0.168308i \(-0.0538304\pi\)
\(74\) 10.0021 2.02061i 1.16272 0.234891i
\(75\) −6.87661 1.07338i −0.794043 0.123944i
\(76\) 2.00160 4.91512i 0.229599 0.563803i
\(77\) 6.15216 1.64847i 0.701104 0.187860i
\(78\) −2.75807 4.32109i −0.312290 0.489267i
\(79\) −0.913281 1.58185i −0.102752 0.177972i 0.810065 0.586339i \(-0.199432\pi\)
−0.912818 + 0.408367i \(0.866098\pi\)
\(80\) 10.4739 + 5.88139i 1.17101 + 0.657560i
\(81\) −8.18882 + 3.73406i −0.909869 + 0.414895i
\(82\) 7.21736 + 14.5258i 0.797024 + 1.60411i
\(83\) 0.757618 2.82747i 0.0831594 0.310355i −0.911800 0.410635i \(-0.865307\pi\)
0.994959 + 0.100280i \(0.0319738\pi\)
\(84\) 1.00940 + 4.05740i 0.110134 + 0.442699i
\(85\) 2.49032 + 9.29402i 0.270114 + 1.00808i
\(86\) −1.05977 1.20118i −0.114278 0.129527i
\(87\) −11.5025 + 8.39646i −1.23320 + 0.900195i
\(88\) 6.48122 13.4450i 0.690900 1.43324i
\(89\) 2.11965i 0.224682i 0.993670 + 0.112341i \(0.0358349\pi\)
−0.993670 + 0.112341i \(0.964165\pi\)
\(90\) −12.6634 1.40309i −1.33483 0.147898i
\(91\) 1.78611 1.78611i 0.187236 0.187236i
\(92\) 1.04147 8.29321i 0.108580 0.864626i
\(93\) 4.49642 1.73756i 0.466257 0.180177i
\(94\) −0.325762 + 5.20848i −0.0335998 + 0.537214i
\(95\) −3.98433 + 6.90107i −0.408784 + 0.708035i
\(96\) 8.74812 + 4.41252i 0.892851 + 0.450351i
\(97\) −3.06298 5.30524i −0.310999 0.538666i 0.667580 0.744538i \(-0.267330\pi\)
−0.978579 + 0.205872i \(0.933997\pi\)
\(98\) 7.02046 3.48821i 0.709174 0.352363i
\(99\) −0.757786 + 15.8128i −0.0761603 + 1.58925i
\(100\) −6.40496 4.85419i −0.640496 0.485419i
\(101\) 12.6207 + 3.38172i 1.25581 + 0.336493i 0.824579 0.565748i \(-0.191412\pi\)
0.431232 + 0.902241i \(0.358079\pi\)
\(102\) 2.36646 + 7.48298i 0.234314 + 0.740926i
\(103\) −11.4364 6.60279i −1.12686 0.650592i −0.183715 0.982979i \(-0.558813\pi\)
−0.943143 + 0.332387i \(0.892146\pi\)
\(104\) −0.440048 5.90294i −0.0431502 0.578831i
\(105\) −0.670194 6.24211i −0.0654042 0.609167i
\(106\) 1.20360 0.243150i 0.116904 0.0236168i
\(107\) 6.92566 6.92566i 0.669529 0.669529i −0.288078 0.957607i \(-0.593016\pi\)
0.957607 + 0.288078i \(0.0930163\pi\)
\(108\) −10.3698 0.683893i −0.997832 0.0658077i
\(109\) −5.36289 5.36289i −0.513672 0.513672i 0.401977 0.915650i \(-0.368323\pi\)
−0.915650 + 0.401977i \(0.868323\pi\)
\(110\) −12.3952 + 18.6713i −1.18184 + 1.78024i
\(111\) −12.4261 + 1.33414i −1.17943 + 0.126631i
\(112\) −1.19375 + 4.67798i −0.112799 + 0.442027i
\(113\) 3.03493 5.25666i 0.285502 0.494505i −0.687228 0.726441i \(-0.741173\pi\)
0.972731 + 0.231937i \(0.0745062\pi\)
\(114\) −2.99631 + 5.76796i −0.280630 + 0.540219i
\(115\) −3.24824 + 12.1226i −0.302900 + 1.13044i
\(116\) −16.2904 + 2.24374i −1.51253 + 0.208326i
\(117\) 2.87533 + 5.58128i 0.265824 + 0.515989i
\(118\) 5.50932 16.3906i 0.507174 1.50888i
\(119\) −3.34908 + 1.93359i −0.307010 + 0.177252i
\(120\) −12.1086 8.35583i −1.10536 0.762779i
\(121\) 14.5896 + 8.42332i 1.32633 + 0.765757i
\(122\) −8.12987 + 7.17277i −0.736043 + 0.649392i
\(123\) −7.16060 18.5300i −0.645650 1.67079i
\(124\) 5.52282 + 0.693558i 0.495964 + 0.0622834i
\(125\) −2.08464 2.08464i −0.186456 0.186456i
\(126\) −0.772579 5.06213i −0.0688268 0.450971i
\(127\) 11.7086 1.03897 0.519484 0.854480i \(-0.326124\pi\)
0.519484 + 0.854480i \(0.326124\pi\)
\(128\) 6.48083 + 9.27355i 0.572830 + 0.819674i
\(129\) 1.15670 + 1.58460i 0.101842 + 0.139516i
\(130\) −0.554813 + 8.87067i −0.0486603 + 0.778009i
\(131\) 8.63027 2.31247i 0.754030 0.202042i 0.138725 0.990331i \(-0.455700\pi\)
0.615305 + 0.788289i \(0.289033\pi\)
\(132\) −9.42300 + 15.6642i −0.820167 + 1.36339i
\(133\) −3.09360 0.828929i −0.268250 0.0718772i
\(134\) −13.6917 4.60216i −1.18279 0.397566i
\(135\) 15.2847 + 3.14180i 1.31550 + 0.270403i
\(136\) −1.68828 + 8.90374i −0.144769 + 0.763489i
\(137\) −1.32169 + 0.763080i −0.112920 + 0.0651943i −0.555396 0.831586i \(-0.687433\pi\)
0.442476 + 0.896780i \(0.354100\pi\)
\(138\) −2.20706 + 9.99609i −0.187877 + 0.850923i
\(139\) 4.51685 + 16.8571i 0.383114 + 1.42980i 0.841118 + 0.540852i \(0.181898\pi\)
−0.458004 + 0.888950i \(0.651435\pi\)
\(140\) 2.73409 6.71383i 0.231073 0.567422i
\(141\) 0.985729 6.31505i 0.0830134 0.531823i
\(142\) 10.0814 15.1859i 0.846013 1.27437i
\(143\) 11.0437 0.923518
\(144\) −10.1700 6.36954i −0.847500 0.530795i
\(145\) 24.6914 2.05051
\(146\) −2.24959 + 3.38861i −0.186177 + 0.280444i
\(147\) −8.95571 + 3.46078i −0.738655 + 0.285441i
\(148\) −13.3651 5.44271i −1.09860 0.447388i
\(149\) −4.58523 17.1123i −0.375637 1.40189i −0.852412 0.522870i \(-0.824861\pi\)
0.476776 0.879025i \(-0.341805\pi\)
\(150\) 7.26256 + 6.64343i 0.592986 + 0.542433i
\(151\) −4.49848 + 2.59720i −0.366081 + 0.211357i −0.671745 0.740783i \(-0.734455\pi\)
0.305664 + 0.952139i \(0.401122\pi\)
\(152\) −6.20283 + 4.22547i −0.503116 + 0.342731i
\(153\) −2.04052 9.39303i −0.164966 0.759381i
\(154\) −8.53797 2.86984i −0.688010 0.231259i
\(155\) −8.07299 2.16315i −0.648438 0.173748i
\(156\) −0.130267 + 7.24849i −0.0104297 + 0.580343i
\(157\) −10.2527 + 2.74719i −0.818252 + 0.219250i −0.643582 0.765377i \(-0.722552\pi\)
−0.174670 + 0.984627i \(0.555886\pi\)
\(158\) −0.161247 + 2.57811i −0.0128281 + 0.205104i
\(159\) −1.49529 + 0.160544i −0.118584 + 0.0127320i
\(160\) −7.74018 15.1220i −0.611915 1.19550i
\(161\) −5.04415 −0.397534
\(162\) 12.5689 + 2.00560i 0.987507 + 0.157575i
\(163\) 2.62311 + 2.62311i 0.205458 + 0.205458i 0.802334 0.596876i \(-0.203591\pi\)
−0.596876 + 0.802334i \(0.703591\pi\)
\(164\) 2.85819 22.7598i 0.223187 1.77725i
\(165\) 17.2258 21.3696i 1.34102 1.66362i
\(166\) −3.10423 + 2.73878i −0.240935 + 0.212570i
\(167\) 5.07413 + 2.92955i 0.392648 + 0.226695i 0.683307 0.730131i \(-0.260541\pi\)
−0.290659 + 0.956827i \(0.593874\pi\)
\(168\) 1.98433 5.57003i 0.153094 0.429737i
\(169\) −7.46532 + 4.31010i −0.574255 + 0.331546i
\(170\) 4.33545 12.8982i 0.332514 0.989251i
\(171\) 4.30573 6.69564i 0.329267 0.512028i
\(172\) 0.309100 + 2.24418i 0.0235687 + 0.171117i
\(173\) −0.192903 + 0.719924i −0.0146662 + 0.0547348i −0.972871 0.231348i \(-0.925686\pi\)
0.958205 + 0.286083i \(0.0923532\pi\)
\(174\) 20.1200 0.895804i 1.52529 0.0679107i
\(175\) −2.42498 + 4.20019i −0.183311 + 0.317505i
\(176\) −18.1527 + 10.7716i −1.36831 + 0.811940i
\(177\) −8.57055 + 19.3663i −0.644202 + 1.45566i
\(178\) 1.65794 2.49740i 0.124268 0.187188i
\(179\) −0.114862 0.114862i −0.00858517 0.00858517i 0.702801 0.711386i \(-0.251932\pi\)
−0.711386 + 0.702801i \(0.751932\pi\)
\(180\) 13.8227 + 11.5582i 1.03028 + 0.861494i
\(181\) −7.86110 + 7.86110i −0.584311 + 0.584311i −0.936085 0.351774i \(-0.885578\pi\)
0.351774 + 0.936085i \(0.385578\pi\)
\(182\) −3.50149 + 0.707368i −0.259548 + 0.0524336i
\(183\) 10.7249 7.82884i 0.792810 0.578724i
\(184\) −7.71385 + 8.95658i −0.568672 + 0.660288i
\(185\) 18.7652 + 10.8341i 1.37965 + 0.796540i
\(186\) −6.65684 1.46978i −0.488103 0.107769i
\(187\) −16.3316 4.37603i −1.19428 0.320007i
\(188\) 4.45779 5.88191i 0.325117 0.428983i
\(189\) 0.370257 + 6.26067i 0.0269322 + 0.455397i
\(190\) 10.0923 5.01449i 0.732171 0.363789i
\(191\) 2.25437 + 3.90468i 0.163120 + 0.282532i 0.935986 0.352037i \(-0.114511\pi\)
−0.772866 + 0.634569i \(0.781178\pi\)
\(192\) −6.85580 12.0415i −0.494775 0.869021i
\(193\) 9.64610 16.7075i 0.694342 1.20264i −0.276060 0.961140i \(-0.589029\pi\)
0.970402 0.241495i \(-0.0776377\pi\)
\(194\) −0.540794 + 8.64653i −0.0388268 + 0.620785i
\(195\) 1.67882 10.7553i 0.120222 0.770203i
\(196\) −11.0000 1.38139i −0.785717 0.0986708i
\(197\) −6.03688 + 6.03688i −0.430110 + 0.430110i −0.888666 0.458556i \(-0.848367\pi\)
0.458556 + 0.888666i \(0.348367\pi\)
\(198\) 13.2613 18.0382i 0.942440 1.28192i
\(199\) 8.81333i 0.624760i 0.949957 + 0.312380i \(0.101126\pi\)
−0.949957 + 0.312380i \(0.898874\pi\)
\(200\) 3.74958 + 10.7291i 0.265135 + 0.758663i
\(201\) 16.1774 + 7.15933i 1.14107 + 0.504980i
\(202\) −12.2249 13.8561i −0.860138 0.974911i
\(203\) 2.56848 + 9.58570i 0.180272 + 0.672784i
\(204\) 3.06484 10.6676i 0.214582 0.746879i
\(205\) −8.91447 + 33.2692i −0.622613 + 2.32362i
\(206\) 8.30995 + 16.7248i 0.578982 + 1.16527i
\(207\) 3.82092 11.9411i 0.265572 0.829964i
\(208\) −4.09869 + 7.29914i −0.284193 + 0.506104i
\(209\) −7.00132 12.1266i −0.484292 0.838818i
\(210\) −4.09281 + 7.87877i −0.282431 + 0.543687i
\(211\) −0.976416 + 0.261630i −0.0672192 + 0.0180113i −0.292272 0.956335i \(-0.594411\pi\)
0.225053 + 0.974347i \(0.427745\pi\)
\(212\) −1.60829 0.654948i −0.110458 0.0449820i
\(213\) −14.0102 + 17.3805i −0.959964 + 1.19089i
\(214\) −13.5770 + 2.74282i −0.928107 + 0.187495i
\(215\) 3.40150i 0.231981i
\(216\) 11.6829 + 8.91680i 0.794922 + 0.606712i
\(217\) 3.35912i 0.228032i
\(218\) 2.12391 + 10.5134i 0.143849 + 0.712057i
\(219\) 3.12627 3.87833i 0.211254 0.262073i
\(220\) 29.2086 12.3035i 1.96924 0.829501i
\(221\) −6.47692 + 1.73548i −0.435685 + 0.116741i
\(222\) 15.6841 + 8.14750i 1.05265 + 0.546824i
\(223\) −4.44475 7.69854i −0.297643 0.515532i 0.677954 0.735105i \(-0.262867\pi\)
−0.975596 + 0.219573i \(0.929534\pi\)
\(224\) 5.06552 4.57794i 0.338454 0.305877i
\(225\) −8.10628 8.92233i −0.540419 0.594822i
\(226\) −7.68746 + 3.81962i −0.511362 + 0.254077i
\(227\) 5.82630 21.7441i 0.386705 1.44320i −0.448756 0.893655i \(-0.648133\pi\)
0.835461 0.549550i \(-0.185201\pi\)
\(228\) 8.04188 4.45226i 0.532587 0.294858i
\(229\) −3.58930 13.3954i −0.237187 0.885196i −0.977151 0.212548i \(-0.931824\pi\)
0.739963 0.672647i \(-0.234843\pi\)
\(230\) 13.3092 11.7424i 0.877582 0.774268i
\(231\) 10.0880 + 4.46446i 0.663743 + 0.293740i
\(232\) 20.9486 + 10.0984i 1.37535 + 0.662993i
\(233\) 6.70075i 0.438981i −0.975615 0.219491i \(-0.929561\pi\)
0.975615 0.219491i \(-0.0704395\pi\)
\(234\) 0.977798 8.82498i 0.0639207 0.576907i
\(235\) −7.83593 + 7.83593i −0.511160 + 0.511160i
\(236\) −19.3116 + 15.0024i −1.25708 + 0.976573i
\(237\) 0.487920 3.12585i 0.0316938 0.203046i
\(238\) 5.45836 + 0.341391i 0.353813 + 0.0221291i
\(239\) 1.04479 1.80963i 0.0675819 0.117055i −0.830254 0.557385i \(-0.811805\pi\)
0.897836 + 0.440329i \(0.145138\pi\)
\(240\) 7.73084 + 19.3161i 0.499023 + 1.24685i
\(241\) 4.31263 + 7.46970i 0.277801 + 0.481166i 0.970838 0.239736i \(-0.0770610\pi\)
−0.693037 + 0.720902i \(0.743728\pi\)
\(242\) −10.6012 21.3362i −0.681470 1.37154i
\(243\) −15.1015 3.86591i −0.968760 0.247998i
\(244\) 15.1891 2.09206i 0.972385 0.133930i
\(245\) 16.0793 + 4.30844i 1.02727 + 0.275256i
\(246\) −6.05704 + 27.4332i −0.386183 + 1.74908i
\(247\) −4.80929 2.77665i −0.306008 0.176674i
\(248\) −5.96459 5.13700i −0.378752 0.326200i
\(249\) 4.09510 2.98929i 0.259517 0.189438i
\(250\) 0.825594 + 4.08672i 0.0522152 + 0.258467i
\(251\) 16.7058 16.7058i 1.05446 1.05446i 0.0560334 0.998429i \(-0.482155\pi\)
0.998429 0.0560334i \(-0.0178453\pi\)
\(252\) −3.04923 + 6.56859i −0.192084 + 0.413782i
\(253\) −15.5941 15.5941i −0.980396 0.980396i
\(254\) −13.7952 9.15820i −0.865590 0.574637i
\(255\) −6.74442 + 15.2399i −0.422352 + 0.954359i
\(256\) −0.382243 15.9954i −0.0238902 0.999715i
\(257\) 7.26980 12.5917i 0.453477 0.785446i −0.545122 0.838357i \(-0.683517\pi\)
0.998599 + 0.0529109i \(0.0168499\pi\)
\(258\) −0.123407 2.77175i −0.00768297 0.172562i
\(259\) −2.25401 + 8.41207i −0.140057 + 0.522700i
\(260\) 7.59214 10.0176i 0.470845 0.621265i
\(261\) −24.6380 1.18071i −1.52506 0.0730840i
\(262\) −11.9771 4.02582i −0.739948 0.248716i
\(263\) −7.27433 + 4.19984i −0.448555 + 0.258973i −0.707220 0.706994i \(-0.750051\pi\)
0.258665 + 0.965967i \(0.416717\pi\)
\(264\) 23.3546 11.0853i 1.43737 0.682255i
\(265\) 2.25811 + 1.30372i 0.138715 + 0.0800871i
\(266\) 2.99657 + 3.39641i 0.183731 + 0.208247i
\(267\) −2.30406 + 2.85832i −0.141006 + 0.174927i
\(268\) 12.5321 + 16.1317i 0.765521 + 0.985402i
\(269\) 3.63413 + 3.63413i 0.221577 + 0.221577i 0.809162 0.587585i \(-0.199921\pi\)
−0.587585 + 0.809162i \(0.699921\pi\)
\(270\) −15.5513 15.6571i −0.946420 0.952862i
\(271\) 2.61554 0.158882 0.0794412 0.996840i \(-0.474686\pi\)
0.0794412 + 0.996840i \(0.474686\pi\)
\(272\) 8.95348 9.17000i 0.542885 0.556013i
\(273\) 4.35007 0.467052i 0.263278 0.0282673i
\(274\) 2.15411 + 0.134728i 0.130134 + 0.00813920i
\(275\) −20.4820 + 5.48812i −1.23511 + 0.330946i
\(276\) 10.4191 10.0512i 0.627158 0.605014i
\(277\) 10.3103 + 2.76263i 0.619484 + 0.165990i 0.554893 0.831922i \(-0.312759\pi\)
0.0645907 + 0.997912i \(0.479426\pi\)
\(278\) 7.86346 23.3943i 0.471619 1.40310i
\(279\) 7.95212 + 2.54452i 0.476081 + 0.152336i
\(280\) −8.47277 + 5.77180i −0.506345 + 0.344931i
\(281\) 6.21844 3.59022i 0.370961 0.214174i −0.302917 0.953017i \(-0.597961\pi\)
0.673878 + 0.738842i \(0.264627\pi\)
\(282\) −6.10091 + 6.66949i −0.363304 + 0.397162i
\(283\) −3.73738 13.9481i −0.222164 0.829127i −0.983521 0.180794i \(-0.942133\pi\)
0.761357 0.648333i \(-0.224533\pi\)
\(284\) −23.7562 + 10.0068i −1.40967 + 0.593794i
\(285\) −12.8743 + 4.97506i −0.762608 + 0.294697i
\(286\) −13.0118 8.63813i −0.769406 0.510783i
\(287\) −13.8431 −0.817134
\(288\) 7.00035 + 15.4595i 0.412499 + 0.910958i
\(289\) −6.73414 −0.396126
\(290\) −29.0918 19.3131i −1.70833 1.13410i
\(291\) 1.63640 10.4835i 0.0959273 0.614556i
\(292\) 5.30101 2.23294i 0.310218 0.130673i
\(293\) 6.52336 + 24.3455i 0.381099 + 1.42228i 0.844226 + 0.535988i \(0.180061\pi\)
−0.463127 + 0.886292i \(0.653273\pi\)
\(294\) 13.2587 + 2.92742i 0.773265 + 0.170731i
\(295\) 31.7992 18.3593i 1.85142 1.06892i
\(296\) 11.4898 + 16.8666i 0.667832 + 0.980351i
\(297\) −18.2104 + 20.4998i −1.05668 + 1.18952i
\(298\) −7.98250 + 23.7485i −0.462414 + 1.37571i
\(299\) −8.44814 2.26367i −0.488568 0.130911i
\(300\) −3.36052 13.5080i −0.194020 0.779886i
\(301\) 1.32053 0.353836i 0.0761144 0.0203948i
\(302\) 7.33166 + 0.458556i 0.421889 + 0.0263869i
\(303\) 13.3430 + 18.2790i 0.766537 + 1.05010i
\(304\) 10.6134 0.126796i 0.608718 0.00727223i
\(305\) −23.0222 −1.31824
\(306\) −4.94286 + 12.6631i −0.282565 + 0.723900i
\(307\) 3.57698 + 3.57698i 0.204149 + 0.204149i 0.801775 0.597626i \(-0.203889\pi\)
−0.597626 + 0.801775i \(0.703889\pi\)
\(308\) 7.81485 + 10.0595i 0.445293 + 0.573195i
\(309\) −8.24460 21.3351i −0.469019 1.21371i
\(310\) 7.81976 + 8.86319i 0.444132 + 0.503395i
\(311\) 3.71609 + 2.14548i 0.210720 + 0.121659i 0.601646 0.798763i \(-0.294512\pi\)
−0.390926 + 0.920422i \(0.627845\pi\)
\(312\) 5.82310 8.43840i 0.329668 0.477730i
\(313\) −8.68061 + 5.01175i −0.490657 + 0.283281i −0.724847 0.688910i \(-0.758090\pi\)
0.234190 + 0.972191i \(0.424756\pi\)
\(314\) 14.2287 + 4.78264i 0.802970 + 0.269900i
\(315\) 5.88142 9.14593i 0.331381 0.515315i
\(316\) 2.20653 2.91145i 0.124127 0.163782i
\(317\) −7.14413 + 26.6623i −0.401254 + 1.49750i 0.409606 + 0.912262i \(0.365666\pi\)
−0.810861 + 0.585239i \(0.801001\pi\)
\(318\) 1.88735 + 0.980429i 0.105837 + 0.0549797i
\(319\) −21.6940 + 37.5751i −1.21463 + 2.10380i
\(320\) −2.70851 + 23.8712i −0.151410 + 1.33444i
\(321\) 16.8674 1.81099i 0.941446 0.101080i
\(322\) 5.94310 + 3.94543i 0.331196 + 0.219870i
\(323\) 6.01183 + 6.01183i 0.334507 + 0.334507i
\(324\) −13.2402 12.1942i −0.735565 0.677455i
\(325\) −5.94639 + 5.94639i −0.329846 + 0.329846i
\(326\) −1.03885 5.14234i −0.0575366 0.284808i
\(327\) −1.40235 13.0613i −0.0775499 0.722291i
\(328\) −21.1699 + 24.5804i −1.16891 + 1.35723i
\(329\) −3.85720 2.22695i −0.212654 0.122776i
\(330\) −37.0106 + 11.7044i −2.03736 + 0.644306i
\(331\) 4.61769 + 1.23731i 0.253811 + 0.0680085i 0.383481 0.923549i \(-0.374725\pi\)
−0.129670 + 0.991557i \(0.541392\pi\)
\(332\) 5.79967 0.798811i 0.318298 0.0438405i
\(333\) −18.2066 11.7081i −0.997718 0.641597i
\(334\) −3.68699 7.42053i −0.201743 0.406033i
\(335\) −15.3363 26.5632i −0.837909 1.45130i
\(336\) −6.69473 + 5.01060i −0.365227 + 0.273351i
\(337\) −7.47777 + 12.9519i −0.407340 + 0.705534i −0.994591 0.103871i \(-0.966877\pi\)
0.587251 + 0.809405i \(0.300210\pi\)
\(338\) 12.1670 + 0.760983i 0.661800 + 0.0413920i
\(339\) 9.80657 3.78958i 0.532620 0.205822i
\(340\) −15.1968 + 11.8058i −0.824165 + 0.640261i
\(341\) 10.3848 10.3848i 0.562371 0.562371i
\(342\) −10.3103 + 4.52106i −0.557516 + 0.244471i
\(343\) 15.1393i 0.817446i
\(344\) 1.39117 2.88590i 0.0750066 0.155597i
\(345\) −17.5575 + 12.8164i −0.945265 + 0.690011i
\(346\) 0.790392 0.697342i 0.0424917 0.0374893i
\(347\) −7.89996 29.4830i −0.424092 1.58273i −0.765898 0.642962i \(-0.777705\pi\)
0.341806 0.939771i \(-0.388961\pi\)
\(348\) −24.4064 14.6820i −1.30832 0.787039i
\(349\) 8.69992 32.4685i 0.465696 1.73800i −0.188876 0.982001i \(-0.560485\pi\)
0.654572 0.756000i \(-0.272849\pi\)
\(350\) 6.14246 3.05197i 0.328328 0.163134i
\(351\) −2.18949 + 10.6518i −0.116867 + 0.568550i
\(352\) 29.8131 + 1.50735i 1.58904 + 0.0803421i
\(353\) 16.5277 + 28.6268i 0.879680 + 1.52365i 0.851692 + 0.524043i \(0.175577\pi\)
0.0279885 + 0.999608i \(0.491090\pi\)
\(354\) 25.2459 16.1139i 1.34180 0.856446i
\(355\) 37.3870 10.0178i 1.98430 0.531691i
\(356\) −3.90683 + 1.64567i −0.207062 + 0.0872204i
\(357\) −6.61802 1.03302i −0.350263 0.0546732i
\(358\) 0.0454895 + 0.225175i 0.00240420 + 0.0119008i
\(359\) 13.5739i 0.716404i −0.933644 0.358202i \(-0.883390\pi\)
0.933644 0.358202i \(-0.116610\pi\)
\(360\) −7.24560 24.4299i −0.381877 1.28757i
\(361\) 11.9588i 0.629410i
\(362\) 15.4109 3.11329i 0.809977 0.163631i
\(363\) 10.5178 + 27.2177i 0.552042 + 1.42856i
\(364\) 4.67881 + 1.90536i 0.245236 + 0.0998682i
\(365\) −8.34262 + 2.23540i −0.436673 + 0.117006i
\(366\) −18.7599 + 0.835245i −0.980594 + 0.0436590i
\(367\) −1.88219 3.26006i −0.0982497 0.170174i 0.812711 0.582668i \(-0.197991\pi\)
−0.910960 + 0.412494i \(0.864658\pi\)
\(368\) 16.0942 4.51918i 0.838970 0.235579i
\(369\) 10.4861 32.7711i 0.545885 1.70600i
\(370\) −13.6353 27.4427i −0.708866 1.42668i
\(371\) −0.271236 + 1.01227i −0.0140819 + 0.0525542i
\(372\) 6.69357 + 6.93857i 0.347046 + 0.359748i
\(373\) −5.54598 20.6979i −0.287160 1.07170i −0.947247 0.320506i \(-0.896147\pi\)
0.660087 0.751189i \(-0.270520\pi\)
\(374\) 15.8193 + 17.9301i 0.817996 + 0.927145i
\(375\) −0.545113 5.07712i −0.0281495 0.262181i
\(376\) −9.85295 + 3.44338i −0.508127 + 0.177579i
\(377\) 17.2072i 0.886215i
\(378\) 4.46073 7.66604i 0.229435 0.394298i
\(379\) 0.0423205 0.0423205i 0.00217386 0.00217386i −0.706019 0.708193i \(-0.749511\pi\)
0.708193 + 0.706019i \(0.249511\pi\)
\(380\) −15.8131 1.98582i −0.811197 0.101871i
\(381\) 15.7889 + 12.7272i 0.808890 + 0.652035i
\(382\) 0.398026 6.36387i 0.0203648 0.325604i
\(383\) −6.83724 + 11.8424i −0.349367 + 0.605121i −0.986137 0.165933i \(-0.946937\pi\)
0.636770 + 0.771053i \(0.280270\pi\)
\(384\) −1.34101 + 19.5500i −0.0684332 + 0.997656i
\(385\) −9.56348 16.5644i −0.487400 0.844201i
\(386\) −24.4335 + 12.1401i −1.24363 + 0.617916i
\(387\) −0.162655 + 3.39416i −0.00826824 + 0.172535i
\(388\) 7.40032 9.76449i 0.375694 0.495717i
\(389\) −13.7672 3.68890i −0.698023 0.187035i −0.107678 0.994186i \(-0.534342\pi\)
−0.590345 + 0.807151i \(0.701008\pi\)
\(390\) −10.3906 + 11.3589i −0.526148 + 0.575182i
\(391\) 11.5963 + 6.69511i 0.586449 + 0.338586i
\(392\) 11.8799 + 10.2316i 0.600027 + 0.516773i
\(393\) 14.1515 + 6.26276i 0.713849 + 0.315914i
\(394\) 11.8347 2.39083i 0.596222 0.120448i
\(395\) −3.87866 + 3.87866i −0.195157 + 0.195157i
\(396\) −29.7338 + 10.8802i −1.49418 + 0.546751i
\(397\) 16.1526 + 16.1526i 0.810677 + 0.810677i 0.984735 0.174058i \(-0.0556881\pi\)
−0.174058 + 0.984735i \(0.555688\pi\)
\(398\) 6.89360 10.3840i 0.345545 0.520503i
\(399\) −3.27065 4.48055i −0.163737 0.224308i
\(400\) 3.97428 15.5741i 0.198714 0.778703i
\(401\) 1.96568 3.40466i 0.0981615 0.170021i −0.812762 0.582596i \(-0.802037\pi\)
0.910924 + 0.412575i \(0.135370\pi\)
\(402\) −13.4606 21.0889i −0.671355 1.05182i
\(403\) 1.50748 5.62599i 0.0750929 0.280251i
\(404\) 3.56559 + 25.8875i 0.177395 + 1.28795i
\(405\) 17.1962 + 20.8512i 0.854485 + 1.03610i
\(406\) 4.47151 13.3031i 0.221917 0.660219i
\(407\) −32.9745 + 19.0379i −1.63449 + 0.943671i
\(408\) −11.9550 + 10.1715i −0.591861 + 0.503562i
\(409\) −17.7471 10.2463i −0.877536 0.506646i −0.00769067 0.999970i \(-0.502448\pi\)
−0.869845 + 0.493325i \(0.835781\pi\)
\(410\) 36.5257 32.2257i 1.80388 1.59151i
\(411\) −2.61176 0.407675i −0.128829 0.0201091i
\(412\) 3.29088 26.2053i 0.162130 1.29104i
\(413\) 10.4353 + 10.4353i 0.513489 + 0.513489i
\(414\) −13.8420 + 11.0806i −0.680295 + 0.544580i
\(415\) −8.79055 −0.431511
\(416\) 10.5384 5.39406i 0.516687 0.264466i
\(417\) −12.2328 + 27.6415i −0.599041 + 1.35361i
\(418\) −1.23614 + 19.7641i −0.0604616 + 0.966694i
\(419\) 5.54398 1.48550i 0.270841 0.0725716i −0.120842 0.992672i \(-0.538560\pi\)
0.391683 + 0.920100i \(0.371893\pi\)
\(420\) 10.9848 6.08158i 0.536005 0.296751i
\(421\) 37.3580 + 10.0100i 1.82072 + 0.487859i 0.996877 0.0789649i \(-0.0251615\pi\)
0.823839 + 0.566824i \(0.191828\pi\)
\(422\) 1.35507 + 0.455476i 0.0659638 + 0.0221722i
\(423\) 8.19372 7.44431i 0.398392 0.361955i
\(424\) 1.38263 + 2.02964i 0.0671463 + 0.0985681i
\(425\) 11.1499 6.43738i 0.540848 0.312259i
\(426\) 30.1018 9.51953i 1.45844 0.461223i
\(427\) −2.39485 8.93769i −0.115895 0.432525i
\(428\) 18.1421 + 7.38805i 0.876930 + 0.357115i
\(429\) 14.8923 + 12.0045i 0.719007 + 0.579582i
\(430\) −2.66059 + 4.00771i −0.128305 + 0.193269i
\(431\) 29.0431 1.39896 0.699479 0.714653i \(-0.253415\pi\)
0.699479 + 0.714653i \(0.253415\pi\)
\(432\) −6.79047 19.6441i −0.326707 0.945126i
\(433\) 28.4001 1.36482 0.682411 0.730969i \(-0.260932\pi\)
0.682411 + 0.730969i \(0.260932\pi\)
\(434\) −2.62744 + 3.95777i −0.126121 + 0.189979i
\(435\) 33.2961 + 26.8395i 1.59642 + 1.28686i
\(436\) 5.72094 14.0483i 0.273984 0.672793i
\(437\) 2.87019 + 10.7117i 0.137300 + 0.512409i
\(438\) −6.71698 + 2.12421i −0.320950 + 0.101499i
\(439\) −2.37559 + 1.37154i −0.113381 + 0.0654603i −0.555618 0.831438i \(-0.687518\pi\)
0.442237 + 0.896898i \(0.354185\pi\)
\(440\) −44.0376 8.35016i −2.09941 0.398078i
\(441\) −15.8386 5.06803i −0.754218 0.241335i
\(442\) 8.98867 + 3.02134i 0.427548 + 0.143710i
\(443\) 6.83170 + 1.83055i 0.324584 + 0.0869720i 0.417432 0.908708i \(-0.362930\pi\)
−0.0928477 + 0.995680i \(0.529597\pi\)
\(444\) −12.1065 21.8673i −0.574549 1.03778i
\(445\) 6.14850 1.64749i 0.291467 0.0780983i
\(446\) −0.784757 + 12.5471i −0.0371593 + 0.594124i
\(447\) 12.4180 28.0599i 0.587349 1.32719i
\(448\) −9.54905 + 1.43167i −0.451150 + 0.0676398i
\(449\) 2.27698 0.107457 0.0537287 0.998556i \(-0.482889\pi\)
0.0537287 + 0.998556i \(0.482889\pi\)
\(450\) 2.57209 + 16.8530i 0.121250 + 0.794459i
\(451\) −42.7965 42.7965i −2.01521 2.01521i
\(452\) 12.0451 + 1.51263i 0.566555 + 0.0711483i
\(453\) −8.88931 1.38755i −0.417656 0.0651928i
\(454\) −23.8724 + 21.0620i −1.12039 + 0.988489i
\(455\) −6.56927 3.79277i −0.307972 0.177808i
\(456\) −12.9576 1.04447i −0.606793 0.0489117i
\(457\) 21.7536 12.5595i 1.01759 0.587507i 0.104187 0.994558i \(-0.466776\pi\)
0.913406 + 0.407051i \(0.133443\pi\)
\(458\) −6.24867 + 18.5902i −0.291981 + 0.868663i
\(459\) 7.45861 14.8845i 0.348138 0.694747i
\(460\) −24.8657 + 3.42486i −1.15937 + 0.159685i
\(461\) 5.73994 21.4217i 0.267336 0.997710i −0.693470 0.720486i \(-0.743919\pi\)
0.960805 0.277224i \(-0.0894145\pi\)
\(462\) −8.39386 13.1507i −0.390518 0.611828i
\(463\) 19.5447 33.8525i 0.908321 1.57326i 0.0919260 0.995766i \(-0.470698\pi\)
0.816396 0.577493i \(-0.195969\pi\)
\(464\) −16.7833 28.2837i −0.779144 1.31304i
\(465\) −8.53501 11.6923i −0.395802 0.542219i
\(466\) −5.24119 + 7.89494i −0.242794 + 0.365726i
\(467\) 4.46264 + 4.46264i 0.206506 + 0.206506i 0.802781 0.596274i \(-0.203353\pi\)
−0.596274 + 0.802781i \(0.703353\pi\)
\(468\) −8.05478 + 9.63292i −0.372332 + 0.445282i
\(469\) 8.71705 8.71705i 0.402516 0.402516i
\(470\) 15.3615 3.10332i 0.708575 0.143146i
\(471\) −16.8118 7.44009i −0.774648 0.342821i
\(472\) 34.4878 2.57097i 1.58743 0.118338i
\(473\) 5.17638 + 2.98858i 0.238010 + 0.137415i
\(474\) −3.01985 + 3.30129i −0.138706 + 0.151633i
\(475\) 10.2993 + 2.75970i 0.472565 + 0.126624i
\(476\) −6.16410 4.67165i −0.282531 0.214125i
\(477\) −2.19090 1.40889i −0.100314 0.0645085i
\(478\) −2.64645 + 1.31492i −0.121046 + 0.0601432i
\(479\) 2.80441 + 4.85738i 0.128137 + 0.221939i 0.922955 0.384909i \(-0.125767\pi\)
−0.794818 + 0.606848i \(0.792434\pi\)
\(480\) 6.00006 28.8055i 0.273864 1.31478i
\(481\) −7.55020 + 13.0773i −0.344260 + 0.596275i
\(482\) 0.761430 12.1742i 0.0346822 0.554519i
\(483\) −6.80199 5.48299i −0.309501 0.249485i
\(484\) −4.19825 + 33.4307i −0.190829 + 1.51958i
\(485\) −13.0083 + 13.0083i −0.590678 + 0.590678i
\(486\) 14.7690 + 16.3670i 0.669935 + 0.742420i
\(487\) 34.1026i 1.54534i 0.634810 + 0.772668i \(0.281078\pi\)
−0.634810 + 0.772668i \(0.718922\pi\)
\(488\) −19.5325 9.41573i −0.884193 0.426230i
\(489\) 0.685919 + 6.38857i 0.0310183 + 0.288901i
\(490\) −15.5750 17.6532i −0.703605 0.797490i
\(491\) 3.91173 + 14.5988i 0.176534 + 0.658833i 0.996285 + 0.0861138i \(0.0274449\pi\)
−0.819751 + 0.572719i \(0.805888\pi\)
\(492\) 28.5942 27.5846i 1.28913 1.24361i
\(493\) 6.81831 25.4463i 0.307081 1.14604i
\(494\) 3.49455 + 7.03322i 0.157227 + 0.316440i
\(495\) 46.4576 10.0923i 2.08811 0.453616i
\(496\) 3.00953 + 10.7179i 0.135132 + 0.481247i
\(497\) 7.77826 + 13.4723i 0.348902 + 0.604317i
\(498\) −7.16308 + 0.318922i −0.320985 + 0.0142912i
\(499\) −8.85266 + 2.37206i −0.396300 + 0.106188i −0.451464 0.892289i \(-0.649098\pi\)
0.0551648 + 0.998477i \(0.482432\pi\)
\(500\) 2.22382 5.46080i 0.0994521 0.244214i
\(501\) 3.65800 + 9.46606i 0.163427 + 0.422912i
\(502\) −32.7500 + 6.61613i −1.46171 + 0.295292i
\(503\) 6.41865i 0.286194i −0.989709 0.143097i \(-0.954294\pi\)
0.989709 0.143097i \(-0.0457060\pi\)
\(504\) 8.73047 5.35417i 0.388886 0.238494i
\(505\) 39.2377i 1.74605i
\(506\) 6.17586 + 30.5707i 0.274551 + 1.35903i
\(507\) −14.7520 2.30267i −0.655159 0.102265i
\(508\) 9.09042 + 21.5807i 0.403322 + 0.957489i
\(509\) 23.2651 6.23386i 1.03121 0.276311i 0.296742 0.954958i \(-0.404100\pi\)
0.734465 + 0.678647i \(0.237433\pi\)
\(510\) 19.8667 12.6805i 0.879713 0.561504i
\(511\) −1.73566 3.00625i −0.0767810 0.132989i
\(512\) −12.0609 + 19.1451i −0.533023 + 0.846101i
\(513\) 13.0844 4.34868i 0.577691 0.191999i
\(514\) −18.4143 + 9.14942i −0.812221 + 0.403563i
\(515\) −10.2640 + 38.3057i −0.452285 + 1.68795i
\(516\) −2.02261 + 3.36225i −0.0890403 + 0.148015i
\(517\) −5.03995 18.8094i −0.221657 0.827235i
\(518\) 9.23546 8.14820i 0.405783 0.358011i
\(519\) −1.04269 + 0.761126i −0.0457689 + 0.0334097i
\(520\) −16.7808 + 5.86449i −0.735885 + 0.257175i
\(521\) 15.3122i 0.670839i −0.942069 0.335420i \(-0.891122\pi\)
0.942069 0.335420i \(-0.108878\pi\)
\(522\) 28.1054 + 20.6625i 1.23014 + 0.904373i
\(523\) −19.6619 + 19.6619i −0.859756 + 0.859756i −0.991309 0.131553i \(-0.958004\pi\)
0.131553 + 0.991309i \(0.458004\pi\)
\(524\) 10.9627 + 14.1115i 0.478908 + 0.616465i
\(525\) −7.83568 + 3.02797i −0.341977 + 0.132151i
\(526\) 11.8558 + 0.741515i 0.516936 + 0.0323316i
\(527\) −4.45858 + 7.72248i −0.194219 + 0.336397i
\(528\) −36.1874 5.20654i −1.57486 0.226585i
\(529\) −2.76726 4.79304i −0.120316 0.208393i
\(530\) −1.64080 3.30232i −0.0712719 0.143444i
\(531\) −32.6084 + 16.7990i −1.41509 + 0.729016i
\(532\) −0.874000 6.34556i −0.0378927 0.275115i
\(533\) −23.1850 6.21241i −1.00426 0.269089i
\(534\) 4.95040 1.56554i 0.214225 0.0677475i
\(535\) −25.4723 14.7065i −1.10127 0.635816i
\(536\) −2.14763 28.8090i −0.0927636 1.24436i
\(537\) −0.0300353 0.279745i −0.00129612 0.0120719i
\(538\) −1.43925 7.12433i −0.0620505 0.307152i
\(539\) −20.6839 + 20.6839i −0.890921 + 0.890921i
\(540\) 6.07608 + 30.6114i 0.261473 + 1.31730i
\(541\) 12.1084 + 12.1084i 0.520580 + 0.520580i 0.917746 0.397167i \(-0.130007\pi\)
−0.397167 + 0.917746i \(0.630007\pi\)
\(542\) −3.08167 2.04582i −0.132369 0.0878754i
\(543\) −19.1456 + 2.05560i −0.821618 + 0.0882144i
\(544\) −17.7217 + 3.80102i −0.759813 + 0.162967i
\(545\) −11.3880 + 19.7245i −0.487807 + 0.844906i
\(546\) −5.49064 2.85225i −0.234978 0.122065i
\(547\) −9.77287 + 36.4729i −0.417858 + 1.55947i 0.361184 + 0.932495i \(0.382373\pi\)
−0.779042 + 0.626972i \(0.784294\pi\)
\(548\) −2.43262 1.84364i −0.103916 0.0787562i
\(549\) 22.9724 + 1.10089i 0.980440 + 0.0469848i
\(550\) 28.4249 + 9.55437i 1.21204 + 0.407400i
\(551\) 18.8946 10.9088i 0.804936 0.464730i
\(552\) −20.1379 + 3.69291i −0.857125 + 0.157181i
\(553\) −1.90925 1.10231i −0.0811895 0.0468748i
\(554\) −9.98686 11.3195i −0.424301 0.480917i
\(555\) 13.5281 + 35.0076i 0.574235 + 1.48599i
\(556\) −27.5634 + 21.4130i −1.16895 + 0.908112i
\(557\) −29.5565 29.5565i −1.25235 1.25235i −0.954664 0.297685i \(-0.903786\pi\)
−0.297685 0.954664i \(-0.596214\pi\)
\(558\) −7.37905 9.21798i −0.312380 0.390228i
\(559\) 2.37048 0.100260
\(560\) 14.4973 0.173197i 0.612625 0.00731891i
\(561\) −17.2662 23.6535i −0.728981 0.998650i
\(562\) −10.1349 0.633882i −0.427513 0.0267387i
\(563\) −25.7907 + 6.91061i −1.08695 + 0.291247i −0.757440 0.652905i \(-0.773550\pi\)
−0.329510 + 0.944152i \(0.606884\pi\)
\(564\) 12.4049 3.08609i 0.522342 0.129948i
\(565\) −17.6070 4.71778i −0.740731 0.198478i
\(566\) −6.50646 + 19.3572i −0.273487 + 0.813642i
\(567\) −6.30607 + 8.84493i −0.264830 + 0.371452i
\(568\) 35.8170 + 6.79143i 1.50285 + 0.284962i
\(569\) −9.49763 + 5.48346i −0.398161 + 0.229879i −0.685690 0.727893i \(-0.740500\pi\)
0.287529 + 0.957772i \(0.407166\pi\)
\(570\) 19.0601 + 4.20832i 0.798341 + 0.176267i
\(571\) 9.71100 + 36.2420i 0.406393 + 1.51668i 0.801472 + 0.598032i \(0.204050\pi\)
−0.395080 + 0.918647i \(0.629283\pi\)
\(572\) 8.57419 + 20.3552i 0.358505 + 0.851093i
\(573\) −1.20439 + 7.71592i −0.0503142 + 0.322337i
\(574\) 16.3102 + 10.8278i 0.680775 + 0.451944i
\(575\) 16.7931 0.700322
\(576\) 3.84415 23.6901i 0.160173 0.987089i
\(577\) −29.3500 −1.22186 −0.610929 0.791686i \(-0.709204\pi\)
−0.610929 + 0.791686i \(0.709204\pi\)
\(578\) 7.93428 + 5.26731i 0.330022 + 0.219091i
\(579\) 31.1688 12.0447i 1.29533 0.500559i
\(580\) 19.1701 + 45.5100i 0.795996 + 1.88970i
\(581\) −0.914424 3.41268i −0.0379367 0.141582i
\(582\) −10.1280 + 11.0719i −0.419821 + 0.458946i
\(583\) −3.96799 + 2.29092i −0.164337 + 0.0948802i
\(584\) −7.99230 1.51546i −0.330724 0.0627100i
\(585\) 13.9549 12.6785i 0.576963 0.524193i
\(586\) 11.3566 33.7867i 0.469138 1.39572i
\(587\) −2.39978 0.643018i −0.0990494 0.0265402i 0.208954 0.977925i \(-0.432994\pi\)
−0.308003 + 0.951385i \(0.599661\pi\)
\(588\) −13.3319 13.8198i −0.549798 0.569921i
\(589\) −7.13339 + 1.91139i −0.293926 + 0.0787573i
\(590\) −51.8266 3.24148i −2.13367 0.133450i
\(591\) −14.7028 + 1.57859i −0.604791 + 0.0649344i
\(592\) −0.344780 28.8596i −0.0141704 1.18612i
\(593\) −3.31760 −0.136238 −0.0681188 0.997677i \(-0.521700\pi\)
−0.0681188 + 0.997677i \(0.521700\pi\)
\(594\) 37.4903 9.90933i 1.53825 0.406585i
\(595\) 8.21187 + 8.21187i 0.336654 + 0.336654i
\(596\) 27.9807 21.7371i 1.14613 0.890387i
\(597\) −9.58009 + 11.8847i −0.392087 + 0.486408i
\(598\) 8.18314 + 9.27506i 0.334633 + 0.379285i
\(599\) −16.9013 9.75798i −0.690569 0.398700i 0.113256 0.993566i \(-0.463872\pi\)
−0.803825 + 0.594866i \(0.797205\pi\)
\(600\) −6.60628 + 18.5439i −0.269700 + 0.757052i
\(601\) 5.79012 3.34293i 0.236184 0.136361i −0.377238 0.926116i \(-0.623126\pi\)
0.613422 + 0.789756i \(0.289793\pi\)
\(602\) −1.83264 0.616000i −0.0746928 0.0251063i
\(603\) 14.0329 + 27.2392i 0.571465 + 1.10926i
\(604\) −8.27961 6.27495i −0.336893 0.255324i
\(605\) 13.0940 48.8674i 0.532346 1.98674i
\(606\) −1.42354 31.9732i −0.0578276 1.29882i
\(607\) −4.11486 + 7.12715i −0.167017 + 0.289282i −0.937370 0.348336i \(-0.886747\pi\)
0.770353 + 0.637618i \(0.220080\pi\)
\(608\) −12.6040 8.15216i −0.511160 0.330614i
\(609\) −6.95609 + 15.7182i −0.281875 + 0.636933i
\(610\) 27.1251 + 18.0075i 1.09826 + 0.729101i
\(611\) −5.46079 5.46079i −0.220920 0.220920i
\(612\) 15.7286 11.0536i 0.635790 0.446817i
\(613\) −5.65366 + 5.65366i −0.228349 + 0.228349i −0.812003 0.583654i \(-0.801623\pi\)
0.583654 + 0.812003i \(0.301623\pi\)
\(614\) −1.41662 7.01230i −0.0571701 0.282994i
\(615\) −48.1848 + 35.1733i −1.94300 + 1.41832i
\(616\) −1.33923 17.9649i −0.0539593 0.723827i
\(617\) −24.8990 14.3754i −1.00240 0.578733i −0.0934395 0.995625i \(-0.529786\pi\)
−0.908956 + 0.416891i \(0.863120\pi\)
\(618\) −6.97398 + 31.5862i −0.280535 + 1.27058i
\(619\) 20.9653 + 5.61764i 0.842668 + 0.225792i 0.654232 0.756293i \(-0.272992\pi\)
0.188435 + 0.982086i \(0.439658\pi\)
\(620\) −2.28077 16.5592i −0.0915978 0.665034i
\(621\) 18.1325 11.9491i 0.727631 0.479502i
\(622\) −2.70020 5.43449i −0.108268 0.217903i
\(623\) 1.27918 + 2.21560i 0.0512491 + 0.0887661i
\(624\) −13.4612 + 5.38755i −0.538880 + 0.215675i
\(625\) −14.4724 + 25.0669i −0.578896 + 1.00268i
\(626\) 14.1477 + 0.884865i 0.565457 + 0.0353663i
\(627\) 3.74045 23.9631i 0.149379 0.956995i
\(628\) −13.0236 16.7644i −0.519697 0.668971i
\(629\) 16.3472 16.3472i 0.651807 0.651807i
\(630\) −14.0834 + 6.17556i −0.561094 + 0.246040i
\(631\) 13.0320i 0.518796i 0.965770 + 0.259398i \(0.0835242\pi\)
−0.965770 + 0.259398i \(0.916476\pi\)
\(632\) −4.87705 + 1.70442i −0.193999 + 0.0677981i
\(633\) −1.60108 0.708559i −0.0636372 0.0281627i
\(634\) 29.2720 25.8259i 1.16254 1.02568i
\(635\) −9.10043 33.9633i −0.361140 1.34779i
\(636\) −1.45683 2.63140i −0.0577673 0.104342i
\(637\) −3.00251 + 11.2055i −0.118964 + 0.443979i
\(638\) 54.9507 27.3030i 2.17552 1.08094i
\(639\) −37.7853 + 8.20839i −1.49476 + 0.324719i
\(640\) 21.8628 26.0069i 0.864202 1.02801i
\(641\) 6.70219 + 11.6085i 0.264721 + 0.458510i 0.967490 0.252908i \(-0.0813869\pi\)
−0.702770 + 0.711417i \(0.748054\pi\)
\(642\) −21.2900 11.0596i −0.840248 0.436487i
\(643\) −9.89172 + 2.65048i −0.390091 + 0.104525i −0.448533 0.893766i \(-0.648053\pi\)
0.0584419 + 0.998291i \(0.481387\pi\)
\(644\) −3.91622 9.29714i −0.154321 0.366359i
\(645\) 3.69744 4.58690i 0.145586 0.180609i
\(646\) −2.38091 11.7856i −0.0936755 0.463697i
\(647\) 25.5231i 1.00342i −0.865036 0.501709i \(-0.832705\pi\)
0.865036 0.501709i \(-0.167295\pi\)
\(648\) 6.06174 + 24.7236i 0.238128 + 0.971234i
\(649\) 64.5223i 2.53272i
\(650\) 11.6573 2.35499i 0.457236 0.0923703i
\(651\) 3.65137 4.52975i 0.143108 0.177535i
\(652\) −2.79824 + 6.87136i −0.109588 + 0.269103i
\(653\) −16.5940 + 4.44634i −0.649372 + 0.173999i −0.568445 0.822721i \(-0.692455\pi\)
−0.0809269 + 0.996720i \(0.525788\pi\)
\(654\) −8.56400 + 16.4859i −0.334879 + 0.644650i
\(655\) −13.4157 23.2366i −0.524194 0.907930i
\(656\) 44.1690 12.4024i 1.72451 0.484233i
\(657\) 8.43150 1.83164i 0.328944 0.0714590i
\(658\) 2.80274 + 5.64085i 0.109262 + 0.219903i
\(659\) 1.29909 4.84828i 0.0506054 0.188862i −0.935996 0.352010i \(-0.885498\pi\)
0.986602 + 0.163148i \(0.0521649\pi\)
\(660\) 52.7614 + 15.1586i 2.05374 + 0.590047i
\(661\) −6.49124 24.2257i −0.252480 0.942269i −0.969475 0.245190i \(-0.921150\pi\)
0.716995 0.697079i \(-0.245517\pi\)
\(662\) −4.47285 5.06968i −0.173842 0.197039i
\(663\) −10.6205 4.70013i −0.412468 0.182538i
\(664\) −7.45808 3.59521i −0.289430 0.139521i
\(665\) 9.61796i 0.372969i
\(666\) 12.2936 + 28.0355i 0.476366 + 1.08635i
\(667\) 24.2973 24.2973i 0.940795 0.940795i
\(668\) −1.46011 + 11.6269i −0.0564934 + 0.449858i
\(669\) 2.37461 15.2129i 0.0918076 0.588163i
\(670\) −2.70774 + 43.2929i −0.104609 + 1.67255i
\(671\) 20.2274 35.0349i 0.780871 1.35251i
\(672\) 11.8070 0.667096i 0.455466 0.0257338i
\(673\) −12.8215 22.2075i −0.494233 0.856037i 0.505745 0.862683i \(-0.331218\pi\)
−0.999978 + 0.00664596i \(0.997885\pi\)
\(674\) 18.9411 9.41116i 0.729585 0.362504i
\(675\) −1.23267 20.8432i −0.0474455 0.802256i
\(676\) −13.7402 10.4134i −0.528469 0.400516i
\(677\) 22.4419 + 6.01329i 0.862513 + 0.231110i 0.662847 0.748755i \(-0.269348\pi\)
0.199665 + 0.979864i \(0.436015\pi\)
\(678\) −14.5184 3.20555i −0.557576 0.123108i
\(679\) −6.40328 3.69694i −0.245735 0.141875i
\(680\) 27.1395 2.02317i 1.04075 0.0775850i
\(681\) 31.4925 22.9885i 1.20680 0.880921i
\(682\) −20.3584 + 4.11278i −0.779564 + 0.157487i
\(683\) −29.4647 + 29.4647i −1.12744 + 1.12744i −0.136843 + 0.990593i \(0.543696\pi\)
−0.990593 + 0.136843i \(0.956304\pi\)
\(684\) 15.6840 + 2.73770i 0.599694 + 0.104678i
\(685\) 3.24076 + 3.24076i 0.123823 + 0.123823i
\(686\) 11.8417 17.8374i 0.452117 0.681035i
\(687\) 9.72072 21.9652i 0.370869 0.838025i
\(688\) −3.89639 + 2.31208i −0.148548 + 0.0881472i
\(689\) −0.908553 + 1.57366i −0.0346131 + 0.0599517i
\(690\) 30.7113 1.36736i 1.16916 0.0520544i
\(691\) 5.06682 18.9096i 0.192751 0.719357i −0.800087 0.599885i \(-0.795213\pi\)
0.992838 0.119472i \(-0.0381202\pi\)
\(692\) −1.47670 + 0.203392i −0.0561357 + 0.00773180i
\(693\) 8.75073 + 16.9860i 0.332413 + 0.645244i
\(694\) −13.7532 + 40.9166i −0.522063 + 1.55317i
\(695\) 45.3871 26.2042i 1.72163 0.993984i
\(696\) 17.2721 + 36.3888i 0.654697 + 1.37931i
\(697\) 31.8248 + 18.3740i 1.20545 + 0.695966i
\(698\) −35.6466 + 31.4501i −1.34924 + 1.19040i
\(699\) 7.28373 9.03591i 0.275496 0.341770i
\(700\) −9.62434 1.20863i −0.363766 0.0456819i
\(701\) 7.85067 + 7.85067i 0.296516 + 0.296516i 0.839647 0.543132i \(-0.182762\pi\)
−0.543132 + 0.839647i \(0.682762\pi\)
\(702\) 10.9113 10.8375i 0.411821 0.409037i
\(703\) 19.1463 0.722117
\(704\) −33.9473 25.0952i −1.27944 0.945810i
\(705\) −19.0844 + 2.04902i −0.718758 + 0.0771707i
\(706\) 2.91810 46.6562i 0.109824 1.75593i
\(707\) 15.2329 4.08164i 0.572892 0.153506i
\(708\) −42.3491 0.761081i −1.59158 0.0286032i
\(709\) 48.4664 + 12.9865i 1.82020 + 0.487720i 0.996813 0.0797675i \(-0.0254178\pi\)
0.823382 + 0.567487i \(0.192084\pi\)
\(710\) −51.8857 17.4402i −1.94724 0.654519i
\(711\) 4.05576 3.68481i 0.152103 0.138191i
\(712\) 5.89031 + 1.11689i 0.220749 + 0.0418571i
\(713\) −10.0728 + 5.81552i −0.377229 + 0.217793i
\(714\) 6.98946 + 6.39361i 0.261574 + 0.239275i
\(715\) −8.58364 32.0346i −0.321010 1.19803i
\(716\) 0.122530 0.300886i 0.00457918 0.0112446i
\(717\) 3.37596 1.30458i 0.126078 0.0487206i
\(718\) −10.6172 + 15.9930i −0.396232 + 0.596854i
\(719\) −46.4032 −1.73055 −0.865273 0.501301i \(-0.832855\pi\)
−0.865273 + 0.501301i \(0.832855\pi\)
\(720\) −10.5717 + 34.4510i −0.393982 + 1.28391i
\(721\) −15.9388 −0.593591
\(722\) −9.35392 + 14.0900i −0.348117 + 0.524377i
\(723\) −2.30402 + 14.7607i −0.0856875 + 0.548955i
\(724\) −20.5925 8.38594i −0.765314 0.311661i
\(725\) −8.55107 31.9130i −0.317579 1.18522i
\(726\) 8.89686 40.2952i 0.330194 1.49549i
\(727\) −13.4929 + 7.79014i −0.500425 + 0.288920i −0.728889 0.684632i \(-0.759963\pi\)
0.228464 + 0.973552i \(0.426630\pi\)
\(728\) −4.02231 5.90460i −0.149077 0.218839i
\(729\) −16.1620 21.6285i −0.598591 0.801055i
\(730\) 11.5779 + 3.89164i 0.428517 + 0.144036i
\(731\) −3.50550 0.939296i −0.129656 0.0347411i
\(732\) 22.7565 + 13.6895i 0.841104 + 0.505978i
\(733\) 22.5000 6.02884i 0.831055 0.222680i 0.181881 0.983321i \(-0.441781\pi\)
0.649174 + 0.760640i \(0.275115\pi\)
\(734\) −0.332316 + 5.31327i −0.0122660 + 0.196116i
\(735\) 16.9996 + 23.2881i 0.627038 + 0.858996i
\(736\) −22.4973 7.26401i −0.829262 0.267755i
\(737\) 53.8981 1.98536
\(738\) −37.9878 + 30.4095i −1.39835 + 1.11939i
\(739\) 17.1341 + 17.1341i 0.630288 + 0.630288i 0.948140 0.317853i \(-0.102962\pi\)
−0.317853 + 0.948140i \(0.602962\pi\)
\(740\) −5.39981 + 42.9988i −0.198501 + 1.58067i
\(741\) −3.46707 8.97199i −0.127366 0.329594i
\(742\) 1.11135 0.980513i 0.0407989 0.0359958i
\(743\) 34.9775 + 20.1943i 1.28320 + 0.740855i 0.977432 0.211251i \(-0.0677537\pi\)
0.305767 + 0.952106i \(0.401087\pi\)
\(744\) −2.45928 13.4107i −0.0901615 0.491661i
\(745\) −46.0742 + 26.6009i −1.68803 + 0.974583i
\(746\) −9.65509 + 28.7245i −0.353498 + 1.05168i
\(747\) 8.77156 + 0.420353i 0.320935 + 0.0153799i
\(748\) −4.61397 33.4991i −0.168703 1.22485i
\(749\) 3.05964 11.4187i 0.111797 0.417231i
\(750\) −3.32896 + 6.40832i −0.121556 + 0.233999i
\(751\) 2.44188 4.22946i 0.0891056 0.154335i −0.818028 0.575179i \(-0.804932\pi\)
0.907133 + 0.420843i \(0.138266\pi\)
\(752\) 14.3023 + 3.64973i 0.521550 + 0.133092i
\(753\) 40.6869 4.36842i 1.48271 0.159194i
\(754\) 13.4591 20.2738i 0.490152 0.738328i
\(755\) 11.0302 + 11.0302i 0.401429 + 0.401429i
\(756\) −11.2519 + 5.54317i −0.409229 + 0.201603i
\(757\) −20.1502 + 20.1502i −0.732371 + 0.732371i −0.971089 0.238718i \(-0.923273\pi\)
0.238718 + 0.971089i \(0.423273\pi\)
\(758\) −0.0829649 + 0.0167605i −0.00301342 + 0.000608768i
\(759\) −4.07772 37.9794i −0.148012 1.37857i
\(760\) 17.0780 + 14.7084i 0.619485 + 0.533531i
\(761\) −16.9178 9.76748i −0.613268 0.354071i 0.160975 0.986958i \(-0.448536\pi\)
−0.774244 + 0.632888i \(0.781869\pi\)
\(762\) −8.64778 27.3452i −0.313276 0.990612i
\(763\) −8.84210 2.36923i −0.320105 0.0857720i
\(764\) −5.44665 + 7.18669i −0.197053 + 0.260005i
\(765\) −25.6606 + 13.2197i −0.927760 + 0.477958i
\(766\) 17.3187 8.60502i 0.625749 0.310912i
\(767\) 12.7944 + 22.1606i 0.461980 + 0.800172i
\(768\) 16.8716 21.9852i 0.608801 0.793323i
\(769\) −14.3355 + 24.8299i −0.516952 + 0.895388i 0.482854 + 0.875701i \(0.339600\pi\)
−0.999806 + 0.0196866i \(0.993733\pi\)
\(770\) −1.68851 + 26.9968i −0.0608496 + 0.972899i
\(771\) 23.4904 9.07747i 0.845986 0.326917i
\(772\) 38.2837 + 4.80769i 1.37786 + 0.173033i
\(773\) −33.6600