Properties

Label 41.2.g.a.20.3
Level 41
Weight 2
Character 41.20
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 20.3
Character \(\chi\) = 41.20
Dual form 41.2.g.a.39.3

$q$-expansion

\(f(q)\) \(=\) \(q+(1.14785 + 0.372958i) q^{2} +(-1.55151 + 1.55151i) q^{3} +(-0.439578 - 0.319372i) q^{4} +(1.49595 - 2.05900i) q^{5} +(-2.35955 + 1.20225i) q^{6} +(-1.01547 - 0.517405i) q^{7} +(-1.80427 - 2.48337i) q^{8} -1.81438i q^{9} +O(q^{10})\) \(q+(1.14785 + 0.372958i) q^{2} +(-1.55151 + 1.55151i) q^{3} +(-0.439578 - 0.319372i) q^{4} +(1.49595 - 2.05900i) q^{5} +(-2.35955 + 1.20225i) q^{6} +(-1.01547 - 0.517405i) q^{7} +(-1.80427 - 2.48337i) q^{8} -1.81438i q^{9} +(2.48504 - 1.80549i) q^{10} +(-0.807883 + 5.10077i) q^{11} +(1.17752 - 0.186501i) q^{12} +(1.17315 + 2.30243i) q^{13} +(-0.972629 - 0.972629i) q^{14} +(0.873576 + 5.51554i) q^{15} +(-0.809030 - 2.48994i) q^{16} +(-3.05576 - 0.483986i) q^{17} +(0.676690 - 2.08264i) q^{18} +(3.74044 - 7.34102i) q^{19} +(-1.31517 + 0.427326i) q^{20} +(2.37827 - 0.772746i) q^{21} +(-2.82970 + 5.55360i) q^{22} +(-1.17869 + 3.62763i) q^{23} +(6.65233 + 1.05363i) q^{24} +(-0.456519 - 1.40502i) q^{25} +(0.487884 + 3.08038i) q^{26} +(-1.83950 - 1.83950i) q^{27} +(0.281132 + 0.551752i) q^{28} +(5.72573 - 0.906866i) q^{29} +(-1.05433 + 6.65681i) q^{30} +(3.65641 - 2.65654i) q^{31} +2.97943i q^{32} +(-6.66047 - 9.16735i) q^{33} +(-3.32705 - 1.69521i) q^{34} +(-2.58442 + 1.31683i) q^{35} +(-0.579464 + 0.797564i) q^{36} +(0.584132 + 0.424397i) q^{37} +(7.03134 - 7.03134i) q^{38} +(-5.39241 - 1.75210i) q^{39} -7.81235 q^{40} +(-5.78336 + 2.74822i) q^{41} +3.01809 q^{42} +(1.75698 + 0.570876i) q^{43} +(1.98417 - 1.98417i) q^{44} +(-3.73581 - 2.71423i) q^{45} +(-2.70591 + 3.72436i) q^{46} +(-3.15704 + 1.60859i) q^{47} +(5.11839 + 2.60795i) q^{48} +(-3.35104 - 4.61230i) q^{49} -1.78301i q^{50} +(5.49197 - 3.99015i) q^{51} +(0.219643 - 1.38677i) q^{52} +(-5.52741 + 0.875456i) q^{53} +(-1.42541 - 2.79752i) q^{54} +(9.29392 + 9.29392i) q^{55} +(0.547268 + 3.45532i) q^{56} +(5.58635 + 17.1930i) q^{57} +(6.91048 + 1.09451i) q^{58} +(0.242763 - 0.747149i) q^{59} +(1.37751 - 2.70351i) q^{60} +(6.70623 - 2.17898i) q^{61} +(5.18778 - 1.68561i) q^{62} +(-0.938773 + 1.84244i) q^{63} +(-2.72926 + 8.39980i) q^{64} +(6.49567 + 1.02881i) q^{65} +(-4.22616 - 13.0068i) q^{66} +(-0.835907 - 5.27771i) q^{67} +(1.18868 + 1.18868i) q^{68} +(-3.79956 - 7.45706i) q^{69} +(-3.45764 + 0.547637i) q^{70} +(0.708805 - 4.47522i) q^{71} +(-4.50579 + 3.27365i) q^{72} -0.149836i q^{73} +(0.512213 + 0.705000i) q^{74} +(2.88820 + 1.47161i) q^{75} +(-3.98873 + 2.03236i) q^{76} +(3.45954 - 4.76165i) q^{77} +(-5.53620 - 4.02229i) q^{78} +(-11.4389 + 11.4389i) q^{79} +(-6.33704 - 2.05903i) q^{80} +11.1512 q^{81} +(-7.66339 + 0.997584i) q^{82} +4.27258 q^{83} +(-1.29223 - 0.419871i) q^{84} +(-5.56779 + 5.56779i) q^{85} +(1.80383 + 1.31056i) q^{86} +(-7.47653 + 10.2906i) q^{87} +(14.1247 - 7.19691i) q^{88} +(-1.51781 - 0.773362i) q^{89} +(-3.27585 - 4.50882i) q^{90} -2.94503i q^{91} +(1.67669 - 1.21819i) q^{92} +(-1.55132 + 9.79463i) q^{93} +(-4.22374 + 0.668975i) q^{94} +(-9.51963 - 18.6833i) q^{95} +(-4.62262 - 4.62262i) q^{96} +(0.687542 + 4.34097i) q^{97} +(-2.12628 - 6.54402i) q^{98} +(9.25476 + 1.46581i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{17}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.14785 + 0.372958i 0.811651 + 0.263721i 0.685297 0.728264i \(-0.259673\pi\)
0.126354 + 0.991985i \(0.459673\pi\)
\(3\) −1.55151 + 1.55151i −0.895766 + 0.895766i −0.995058 0.0992919i \(-0.968342\pi\)
0.0992919 + 0.995058i \(0.468342\pi\)
\(4\) −0.439578 0.319372i −0.219789 0.159686i
\(5\) 1.49595 2.05900i 0.669008 0.920811i −0.330729 0.943726i \(-0.607295\pi\)
0.999737 + 0.0229146i \(0.00729460\pi\)
\(6\) −2.35955 + 1.20225i −0.963282 + 0.490817i
\(7\) −1.01547 0.517405i −0.383810 0.195561i 0.251431 0.967875i \(-0.419099\pi\)
−0.635240 + 0.772314i \(0.719099\pi\)
\(8\) −1.80427 2.48337i −0.637907 0.878004i
\(9\) 1.81438i 0.604795i
\(10\) 2.48504 1.80549i 0.785839 0.570945i
\(11\) −0.807883 + 5.10077i −0.243586 + 1.53794i 0.498057 + 0.867144i \(0.334047\pi\)
−0.741642 + 0.670795i \(0.765953\pi\)
\(12\) 1.17752 0.186501i 0.339921 0.0538382i
\(13\) 1.17315 + 2.30243i 0.325373 + 0.638580i 0.994520 0.104550i \(-0.0333403\pi\)
−0.669147 + 0.743130i \(0.733340\pi\)
\(14\) −0.972629 0.972629i −0.259946 0.259946i
\(15\) 0.873576 + 5.51554i 0.225556 + 1.42411i
\(16\) −0.809030 2.48994i −0.202257 0.622484i
\(17\) −3.05576 0.483986i −0.741132 0.117384i −0.225559 0.974230i \(-0.572421\pi\)
−0.515573 + 0.856846i \(0.672421\pi\)
\(18\) 0.676690 2.08264i 0.159497 0.490882i
\(19\) 3.74044 7.34102i 0.858115 1.68415i 0.137842 0.990454i \(-0.455983\pi\)
0.720273 0.693691i \(-0.244017\pi\)
\(20\) −1.31517 + 0.427326i −0.294082 + 0.0955529i
\(21\) 2.37827 0.772746i 0.518981 0.168627i
\(22\) −2.82970 + 5.55360i −0.603294 + 1.18403i
\(23\) −1.17869 + 3.62763i −0.245773 + 0.756413i 0.749735 + 0.661738i \(0.230181\pi\)
−0.995508 + 0.0946746i \(0.969819\pi\)
\(24\) 6.65233 + 1.05363i 1.35790 + 0.215071i
\(25\) −0.456519 1.40502i −0.0913038 0.281004i
\(26\) 0.487884 + 3.08038i 0.0956819 + 0.604112i
\(27\) −1.83950 1.83950i −0.354011 0.354011i
\(28\) 0.281132 + 0.551752i 0.0531289 + 0.104271i
\(29\) 5.72573 0.906866i 1.06324 0.168401i 0.399780 0.916611i \(-0.369087\pi\)
0.663461 + 0.748211i \(0.269087\pi\)
\(30\) −1.05433 + 6.65681i −0.192494 + 1.21536i
\(31\) 3.65641 2.65654i 0.656711 0.477129i −0.208840 0.977950i \(-0.566969\pi\)
0.865551 + 0.500821i \(0.166969\pi\)
\(32\) 2.97943i 0.526693i
\(33\) −6.66047 9.16735i −1.15944 1.59583i
\(34\) −3.32705 1.69521i −0.570584 0.290727i
\(35\) −2.58442 + 1.31683i −0.436847 + 0.222584i
\(36\) −0.579464 + 0.797564i −0.0965774 + 0.132927i
\(37\) 0.584132 + 0.424397i 0.0960308 + 0.0697704i 0.634765 0.772706i \(-0.281097\pi\)
−0.538734 + 0.842476i \(0.681097\pi\)
\(38\) 7.03134 7.03134i 1.14063 1.14063i
\(39\) −5.39241 1.75210i −0.863476 0.280561i
\(40\) −7.81235 −1.23524
\(41\) −5.78336 + 2.74822i −0.903210 + 0.429200i
\(42\) 3.01809 0.465702
\(43\) 1.75698 + 0.570876i 0.267936 + 0.0870578i 0.439904 0.898045i \(-0.355012\pi\)
−0.171968 + 0.985103i \(0.555012\pi\)
\(44\) 1.98417 1.98417i 0.299125 0.299125i
\(45\) −3.73581 2.71423i −0.556902 0.404613i
\(46\) −2.70591 + 3.72436i −0.398964 + 0.549127i
\(47\) −3.15704 + 1.60859i −0.460502 + 0.234638i −0.668821 0.743423i \(-0.733201\pi\)
0.208319 + 0.978061i \(0.433201\pi\)
\(48\) 5.11839 + 2.60795i 0.738776 + 0.376425i
\(49\) −3.35104 4.61230i −0.478719 0.658901i
\(50\) 1.78301i 0.252156i
\(51\) 5.49197 3.99015i 0.769029 0.558733i
\(52\) 0.219643 1.38677i 0.0304590 0.192310i
\(53\) −5.52741 + 0.875456i −0.759249 + 0.120253i −0.524042 0.851692i \(-0.675577\pi\)
−0.235206 + 0.971945i \(0.575577\pi\)
\(54\) −1.42541 2.79752i −0.193973 0.380694i
\(55\) 9.29392 + 9.29392i 1.25319 + 1.25319i
\(56\) 0.547268 + 3.45532i 0.0731318 + 0.461736i
\(57\) 5.58635 + 17.1930i 0.739930 + 2.27727i
\(58\) 6.91048 + 1.09451i 0.907391 + 0.143717i
\(59\) 0.242763 0.747149i 0.0316051 0.0972705i −0.934010 0.357248i \(-0.883715\pi\)
0.965615 + 0.259977i \(0.0837151\pi\)
\(60\) 1.37751 2.70351i 0.177835 0.349022i
\(61\) 6.70623 2.17898i 0.858644 0.278990i 0.153582 0.988136i \(-0.450919\pi\)
0.705062 + 0.709145i \(0.250919\pi\)
\(62\) 5.18778 1.68561i 0.658849 0.214073i
\(63\) −0.938773 + 1.84244i −0.118274 + 0.232126i
\(64\) −2.72926 + 8.39980i −0.341158 + 1.04997i
\(65\) 6.49567 + 1.02881i 0.805689 + 0.127609i
\(66\) −4.22616 13.0068i −0.520205 1.60103i
\(67\) −0.835907 5.27771i −0.102122 0.644774i −0.984654 0.174521i \(-0.944162\pi\)
0.882531 0.470254i \(-0.155838\pi\)
\(68\) 1.18868 + 1.18868i 0.144148 + 0.144148i
\(69\) −3.79956 7.45706i −0.457414 0.897725i
\(70\) −3.45764 + 0.547637i −0.413267 + 0.0654551i
\(71\) 0.708805 4.47522i 0.0841197 0.531111i −0.909260 0.416230i \(-0.863351\pi\)
0.993379 0.114881i \(-0.0366487\pi\)
\(72\) −4.50579 + 3.27365i −0.531012 + 0.385803i
\(73\) 0.149836i 0.0175369i −0.999962 0.00876846i \(-0.997209\pi\)
0.999962 0.00876846i \(-0.00279112\pi\)
\(74\) 0.512213 + 0.705000i 0.0595435 + 0.0819546i
\(75\) 2.88820 + 1.47161i 0.333501 + 0.169927i
\(76\) −3.98873 + 2.03236i −0.457539 + 0.233128i
\(77\) 3.45954 4.76165i 0.394251 0.542641i
\(78\) −5.53620 4.02229i −0.626851 0.455434i
\(79\) −11.4389 + 11.4389i −1.28698 + 1.28698i −0.350367 + 0.936613i \(0.613943\pi\)
−0.936613 + 0.350367i \(0.886057\pi\)
\(80\) −6.33704 2.05903i −0.708502 0.230206i
\(81\) 11.1512 1.23902
\(82\) −7.66339 + 0.997584i −0.846280 + 0.110165i
\(83\) 4.27258 0.468977 0.234488 0.972119i \(-0.424659\pi\)
0.234488 + 0.972119i \(0.424659\pi\)
\(84\) −1.29223 0.419871i −0.140994 0.0458117i
\(85\) −5.56779 + 5.56779i −0.603912 + 0.603912i
\(86\) 1.80383 + 1.31056i 0.194512 + 0.141321i
\(87\) −7.47653 + 10.2906i −0.801568 + 1.10326i
\(88\) 14.1247 7.19691i 1.50570 0.767193i
\(89\) −1.51781 0.773362i −0.160887 0.0819762i 0.371693 0.928356i \(-0.378777\pi\)
−0.532580 + 0.846380i \(0.678777\pi\)
\(90\) −3.27585 4.50882i −0.345305 0.475271i
\(91\) 2.94503i 0.308723i
\(92\) 1.67669 1.21819i 0.174807 0.127005i
\(93\) −1.55132 + 9.79463i −0.160864 + 1.01566i
\(94\) −4.22374 + 0.668975i −0.435646 + 0.0689995i
\(95\) −9.51963 18.6833i −0.976694 1.91687i
\(96\) −4.62262 4.62262i −0.471794 0.471794i
\(97\) 0.687542 + 4.34097i 0.0698093 + 0.440758i 0.997693 + 0.0678885i \(0.0216262\pi\)
−0.927884 + 0.372870i \(0.878374\pi\)
\(98\) −2.12628 6.54402i −0.214787 0.661046i
\(99\) 9.25476 + 1.46581i 0.930138 + 0.147319i
\(100\) −0.248049 + 0.763417i −0.0248049 + 0.0763417i
\(101\) 1.40554 2.75854i 0.139857 0.274485i −0.810445 0.585815i \(-0.800775\pi\)
0.950302 + 0.311330i \(0.100775\pi\)
\(102\) 7.79210 2.53181i 0.771533 0.250686i
\(103\) 2.80356 0.910931i 0.276243 0.0897567i −0.167619 0.985852i \(-0.553608\pi\)
0.443862 + 0.896095i \(0.353608\pi\)
\(104\) 3.60111 7.06758i 0.353118 0.693033i
\(105\) 1.96669 6.05284i 0.191929 0.590696i
\(106\) −6.67114 1.05660i −0.647958 0.102626i
\(107\) −1.04654 3.22093i −0.101173 0.311379i 0.887640 0.460538i \(-0.152344\pi\)
−0.988813 + 0.149159i \(0.952344\pi\)
\(108\) 0.221119 + 1.39609i 0.0212771 + 0.134339i
\(109\) 9.65686 + 9.65686i 0.924960 + 0.924960i 0.997375 0.0724148i \(-0.0230705\pi\)
−0.0724148 + 0.997375i \(0.523071\pi\)
\(110\) 7.20175 + 14.1342i 0.686660 + 1.34765i
\(111\) −1.56475 + 0.247832i −0.148519 + 0.0235231i
\(112\) −0.466765 + 2.94704i −0.0441052 + 0.278469i
\(113\) −10.7162 + 7.78581i −1.00810 + 0.732427i −0.963810 0.266592i \(-0.914102\pi\)
−0.0442897 + 0.999019i \(0.514102\pi\)
\(114\) 21.8184i 2.04348i
\(115\) 5.70602 + 7.85366i 0.532089 + 0.732358i
\(116\) −2.80653 1.43000i −0.260580 0.132772i
\(117\) 4.17750 2.12854i 0.386210 0.196784i
\(118\) 0.557310 0.767072i 0.0513046 0.0706147i
\(119\) 2.85261 + 2.07254i 0.261498 + 0.189989i
\(120\) 12.1210 12.1210i 1.10649 1.10649i
\(121\) −14.9036 4.84246i −1.35487 0.440223i
\(122\) 8.51039 0.770495
\(123\) 4.70906 13.2369i 0.424602 1.19353i
\(124\) −2.45570 −0.220529
\(125\) 8.52661 + 2.77046i 0.762643 + 0.247798i
\(126\) −1.76472 + 1.76472i −0.157214 + 0.157214i
\(127\) −10.9310 7.94181i −0.969966 0.704721i −0.0145221 0.999895i \(-0.504623\pi\)
−0.955444 + 0.295173i \(0.904623\pi\)
\(128\) −2.76302 + 3.80298i −0.244219 + 0.336139i
\(129\) −3.61169 + 1.84025i −0.317992 + 0.162025i
\(130\) 7.07233 + 3.60353i 0.620285 + 0.316051i
\(131\) 6.01522 + 8.27923i 0.525552 + 0.723360i 0.986444 0.164096i \(-0.0524707\pi\)
−0.460893 + 0.887456i \(0.652471\pi\)
\(132\) 6.15694i 0.535893i
\(133\) −7.59657 + 5.51923i −0.658706 + 0.478578i
\(134\) 1.00887 6.36976i 0.0871532 0.550263i
\(135\) −6.53931 + 1.03573i −0.562814 + 0.0891410i
\(136\) 4.31152 + 8.46184i 0.369710 + 0.725596i
\(137\) 4.05839 + 4.05839i 0.346731 + 0.346731i 0.858891 0.512159i \(-0.171154\pi\)
−0.512159 + 0.858891i \(0.671154\pi\)
\(138\) −1.58015 9.97665i −0.134511 0.849269i
\(139\) −4.98324 15.3368i −0.422673 1.30085i −0.905205 0.424975i \(-0.860283\pi\)
0.482532 0.875878i \(-0.339717\pi\)
\(140\) 1.55661 + 0.246543i 0.131558 + 0.0208367i
\(141\) 2.40244 7.39395i 0.202322 0.622683i
\(142\) 2.48267 4.87251i 0.208341 0.408892i
\(143\) −12.6919 + 4.12386i −1.06135 + 0.344855i
\(144\) −4.51770 + 1.46789i −0.376475 + 0.122324i
\(145\) 6.69816 13.1459i 0.556252 1.09171i
\(146\) 0.0558824 0.171988i 0.00462486 0.0142339i
\(147\) 12.3552 + 1.95688i 1.01904 + 0.161400i
\(148\) −0.121231 0.373111i −0.00996515 0.0306696i
\(149\) 0.849406 + 5.36294i 0.0695860 + 0.439349i 0.997742 + 0.0671583i \(0.0213932\pi\)
−0.928156 + 0.372191i \(0.878607\pi\)
\(150\) 2.76637 + 2.76637i 0.225873 + 0.225873i
\(151\) 1.53796 + 3.01842i 0.125158 + 0.245636i 0.945080 0.326839i \(-0.105983\pi\)
−0.819922 + 0.572475i \(0.805983\pi\)
\(152\) −24.9792 + 3.95632i −2.02608 + 0.320900i
\(153\) −0.878136 + 5.54433i −0.0709931 + 0.448233i
\(154\) 5.74692 4.17538i 0.463100 0.336462i
\(155\) 11.5026i 0.923910i
\(156\) 1.81081 + 2.49237i 0.144981 + 0.199549i
\(157\) −9.01316 4.59244i −0.719329 0.366516i 0.0556954 0.998448i \(-0.482262\pi\)
−0.775024 + 0.631931i \(0.782262\pi\)
\(158\) −17.3964 + 8.86390i −1.38398 + 0.705174i
\(159\) 7.21757 9.93413i 0.572391 0.787828i
\(160\) 6.13463 + 4.45707i 0.484985 + 0.352362i
\(161\) 3.07387 3.07387i 0.242255 0.242255i
\(162\) 12.7998 + 4.15892i 1.00565 + 0.326755i
\(163\) 18.7430 1.46807 0.734033 0.679113i \(-0.237635\pi\)
0.734033 + 0.679113i \(0.237635\pi\)
\(164\) 3.41995 + 0.638988i 0.267053 + 0.0498966i
\(165\) −28.8393 −2.24513
\(166\) 4.90427 + 1.59349i 0.380645 + 0.123679i
\(167\) 2.16228 2.16228i 0.167322 0.167322i −0.618479 0.785801i \(-0.712251\pi\)
0.785801 + 0.618479i \(0.212251\pi\)
\(168\) −6.21006 4.51187i −0.479117 0.348099i
\(169\) 3.71629 5.11503i 0.285868 0.393464i
\(170\) −8.46753 + 4.31442i −0.649430 + 0.330901i
\(171\) −13.3194 6.78659i −1.01856 0.518983i
\(172\) −0.590006 0.812074i −0.0449876 0.0619201i
\(173\) 10.5897i 0.805117i 0.915394 + 0.402558i \(0.131879\pi\)
−0.915394 + 0.402558i \(0.868121\pi\)
\(174\) −12.4199 + 9.02355i −0.941547 + 0.684074i
\(175\) −0.263386 + 1.66296i −0.0199101 + 0.125708i
\(176\) 13.3542 2.11510i 1.00661 0.159431i
\(177\) 0.782560 + 1.53586i 0.0588208 + 0.115442i
\(178\) −1.45378 1.45378i −0.108965 0.108965i
\(179\) −0.298749 1.88623i −0.0223295 0.140983i 0.974005 0.226527i \(-0.0727372\pi\)
−0.996334 + 0.0855440i \(0.972737\pi\)
\(180\) 0.775333 + 2.38623i 0.0577899 + 0.177859i
\(181\) −5.82173 0.922071i −0.432726 0.0685370i −0.0637279 0.997967i \(-0.520299\pi\)
−0.368998 + 0.929430i \(0.620299\pi\)
\(182\) 1.09837 3.38045i 0.0814169 0.250576i
\(183\) −7.02407 + 13.7855i −0.519234 + 1.01905i
\(184\) 11.1354 3.61812i 0.820914 0.266731i
\(185\) 1.74766 0.567850i 0.128491 0.0417492i
\(186\) −5.43366 + 10.6642i −0.398415 + 0.781934i
\(187\) 4.93740 15.1957i 0.361058 1.11122i
\(188\) 1.90151 + 0.301169i 0.138682 + 0.0219650i
\(189\) 0.916180 + 2.81971i 0.0666423 + 0.205104i
\(190\) −3.95898 24.9960i −0.287215 1.81340i
\(191\) −2.23597 2.23597i −0.161789 0.161789i 0.621570 0.783359i \(-0.286495\pi\)
−0.783359 + 0.621570i \(0.786495\pi\)
\(192\) −8.79791 17.2669i −0.634935 1.24613i
\(193\) 15.5972 2.47036i 1.12271 0.177820i 0.432645 0.901565i \(-0.357580\pi\)
0.690068 + 0.723744i \(0.257580\pi\)
\(194\) −0.829806 + 5.23919i −0.0595766 + 0.376152i
\(195\) −11.6743 + 8.48190i −0.836016 + 0.607401i
\(196\) 3.09770i 0.221264i
\(197\) 2.67161 + 3.67715i 0.190344 + 0.261986i 0.893514 0.449036i \(-0.148233\pi\)
−0.703170 + 0.711022i \(0.748233\pi\)
\(198\) 10.0764 + 5.13416i 0.716096 + 0.364869i
\(199\) 8.00456 4.07852i 0.567428 0.289119i −0.146646 0.989189i \(-0.546848\pi\)
0.714074 + 0.700070i \(0.246848\pi\)
\(200\) −2.66550 + 3.66875i −0.188479 + 0.259420i
\(201\) 9.48535 + 6.89151i 0.669045 + 0.486090i
\(202\) 2.64217 2.64217i 0.185902 0.185902i
\(203\) −6.28350 2.04163i −0.441015 0.143294i
\(204\) −3.68849 −0.258246
\(205\) −2.99304 + 16.0191i −0.209043 + 1.11882i
\(206\) 3.55779 0.247883
\(207\) 6.58192 + 2.13859i 0.457475 + 0.148643i
\(208\) 4.78380 4.78380i 0.331697 0.331697i
\(209\) 34.4230 + 25.0098i 2.38109 + 1.72996i
\(210\) 4.51491 6.21424i 0.311558 0.428823i
\(211\) 5.75578 2.93272i 0.396245 0.201897i −0.244503 0.969649i \(-0.578625\pi\)
0.640747 + 0.767752i \(0.278625\pi\)
\(212\) 2.70933 + 1.38047i 0.186077 + 0.0948112i
\(213\) 5.84364 + 8.04308i 0.400399 + 0.551103i
\(214\) 4.08746i 0.279413i
\(215\) 3.80378 2.76361i 0.259415 0.188476i
\(216\) −1.24920 + 7.88711i −0.0849970 + 0.536650i
\(217\) −5.08747 + 0.805776i −0.345360 + 0.0546996i
\(218\) 7.48300 + 14.6862i 0.506813 + 0.994676i
\(219\) 0.232472 + 0.232472i 0.0157090 + 0.0157090i
\(220\) −1.11718 7.05362i −0.0753205 0.475555i
\(221\) −2.47052 7.60348i −0.166185 0.511465i
\(222\) −1.88852 0.299112i −0.126749 0.0200751i
\(223\) −1.26478 + 3.89258i −0.0846956 + 0.260666i −0.984432 0.175768i \(-0.943759\pi\)
0.899736 + 0.436435i \(0.143759\pi\)
\(224\) 1.54157 3.02550i 0.103001 0.202150i
\(225\) −2.54925 + 0.828302i −0.169950 + 0.0552201i
\(226\) −15.2044 + 4.94021i −1.01138 + 0.328618i
\(227\) −0.260675 + 0.511604i −0.0173016 + 0.0339564i −0.899496 0.436930i \(-0.856066\pi\)
0.882194 + 0.470886i \(0.156066\pi\)
\(228\) 3.03534 9.34180i 0.201020 0.618676i
\(229\) −23.7418 3.76033i −1.56890 0.248490i −0.689399 0.724382i \(-0.742125\pi\)
−0.879504 + 0.475892i \(0.842125\pi\)
\(230\) 3.62055 + 11.1429i 0.238732 + 0.734742i
\(231\) 2.02024 + 12.7553i 0.132922 + 0.839236i
\(232\) −12.5829 12.5829i −0.826105 0.826105i
\(233\) −5.63580 11.0609i −0.369213 0.724622i 0.629410 0.777073i \(-0.283297\pi\)
−0.998623 + 0.0524514i \(0.983297\pi\)
\(234\) 5.58899 0.885209i 0.365364 0.0578679i
\(235\) −1.41069 + 8.90672i −0.0920230 + 0.581010i
\(236\) −0.345332 + 0.250898i −0.0224792 + 0.0163321i
\(237\) 35.4953i 2.30567i
\(238\) 2.50139 + 3.44286i 0.162141 + 0.223168i
\(239\) −6.04489 3.08002i −0.391011 0.199230i 0.247421 0.968908i \(-0.420417\pi\)
−0.638433 + 0.769678i \(0.720417\pi\)
\(240\) 13.0266 6.63739i 0.840864 0.428441i
\(241\) −11.2730 + 15.5159i −0.726155 + 0.999467i 0.273142 + 0.961974i \(0.411937\pi\)
−0.999297 + 0.0374932i \(0.988063\pi\)
\(242\) −15.3010 11.1168i −0.983584 0.714615i
\(243\) −11.7827 + 11.7827i −0.755859 + 0.755859i
\(244\) −3.64382 1.18395i −0.233272 0.0757945i
\(245\) −14.5097 −0.926990
\(246\) 10.3421 13.4376i 0.659387 0.856751i
\(247\) 21.2903 1.35467
\(248\) −13.1943 4.28710i −0.837841 0.272231i
\(249\) −6.62896 + 6.62896i −0.420093 + 0.420093i
\(250\) 8.75398 + 6.36014i 0.553650 + 0.402251i
\(251\) 1.10805 1.52510i 0.0699397 0.0962637i −0.772614 0.634876i \(-0.781051\pi\)
0.842554 + 0.538612i \(0.181051\pi\)
\(252\) 1.00109 0.510081i 0.0630627 0.0321321i
\(253\) −17.5515 8.94292i −1.10345 0.562236i
\(254\) −9.58511 13.1928i −0.601423 0.827788i
\(255\) 17.2770i 1.08193i
\(256\) 9.70071 7.04798i 0.606294 0.440499i
\(257\) 4.37877 27.6464i 0.273140 1.72454i −0.345116 0.938560i \(-0.612160\pi\)
0.618256 0.785977i \(-0.287840\pi\)
\(258\) −4.83201 + 0.765315i −0.300828 + 0.0476464i
\(259\) −0.373581 0.733194i −0.0232132 0.0455584i
\(260\) −2.52678 2.52678i −0.156704 0.156704i
\(261\) −1.64540 10.3887i −0.101848 0.643043i
\(262\) 3.81674 + 11.7467i 0.235799 + 0.725715i
\(263\) 4.08854 + 0.647561i 0.252110 + 0.0399303i 0.281210 0.959646i \(-0.409264\pi\)
−0.0291002 + 0.999576i \(0.509264\pi\)
\(264\) −10.7486 + 33.0808i −0.661531 + 2.03598i
\(265\) −6.46616 + 12.6906i −0.397213 + 0.779575i
\(266\) −10.7781 + 3.50203i −0.660850 + 0.214723i
\(267\) 3.55478 1.15502i 0.217549 0.0706860i
\(268\) −1.31811 + 2.58693i −0.0805162 + 0.158022i
\(269\) −9.19596 + 28.3022i −0.560687 + 1.72562i 0.119742 + 0.992805i \(0.461793\pi\)
−0.680430 + 0.732813i \(0.738207\pi\)
\(270\) −7.89241 1.25004i −0.480317 0.0760747i
\(271\) 7.16633 + 22.0557i 0.435324 + 1.33979i 0.892754 + 0.450544i \(0.148770\pi\)
−0.457431 + 0.889245i \(0.651230\pi\)
\(272\) 1.26711 + 8.00022i 0.0768299 + 0.485085i
\(273\) 4.56926 + 4.56926i 0.276544 + 0.276544i
\(274\) 3.14480 + 6.17202i 0.189984 + 0.372865i
\(275\) 7.53551 1.19351i 0.454408 0.0719712i
\(276\) −0.711374 + 4.49144i −0.0428197 + 0.270353i
\(277\) 20.0368 14.5576i 1.20389 0.874680i 0.209231 0.977866i \(-0.432904\pi\)
0.994662 + 0.103187i \(0.0329039\pi\)
\(278\) 19.4629i 1.16731i
\(279\) −4.81998 6.63414i −0.288565 0.397176i
\(280\) 7.93317 + 4.04215i 0.474098 + 0.241565i
\(281\) −0.189482 + 0.0965459i −0.0113035 + 0.00575945i −0.459633 0.888109i \(-0.652019\pi\)
0.448330 + 0.893868i \(0.352019\pi\)
\(282\) 5.51527 7.59112i 0.328429 0.452044i
\(283\) 8.92649 + 6.48547i 0.530625 + 0.385521i 0.820591 0.571515i \(-0.193644\pi\)
−0.289967 + 0.957037i \(0.593644\pi\)
\(284\) −1.74084 + 1.74084i −0.103300 + 0.103300i
\(285\) 43.7573 + 14.2176i 2.59196 + 0.842178i
\(286\) −16.1064 −0.952394
\(287\) 7.29475 + 0.201622i 0.430595 + 0.0119014i
\(288\) 5.40582 0.318541
\(289\) −7.06450 2.29540i −0.415559 0.135023i
\(290\) 12.5913 12.5913i 0.739388 0.739388i
\(291\) −7.80180 5.66834i −0.457349 0.332284i
\(292\) −0.0478533 + 0.0658645i −0.00280040 + 0.00385443i
\(293\) 6.77986 3.45451i 0.396083 0.201815i −0.244593 0.969626i \(-0.578654\pi\)
0.640676 + 0.767811i \(0.278654\pi\)
\(294\) 13.4521 + 6.85418i 0.784541 + 0.399744i
\(295\) −1.17521 1.61754i −0.0684237 0.0941771i
\(296\) 2.21635i 0.128822i
\(297\) 10.8689 7.89675i 0.630680 0.458216i
\(298\) −1.02516 + 6.47263i −0.0593861 + 0.374949i
\(299\) −9.73515 + 1.54190i −0.562998 + 0.0891702i
\(300\) −0.799599 1.56930i −0.0461649 0.0906037i
\(301\) −1.48877 1.48877i −0.0858115 0.0858115i
\(302\) 0.639602 + 4.03829i 0.0368049 + 0.232377i
\(303\) 2.09919 + 6.46063i 0.120595 + 0.371153i
\(304\) −21.3048 3.37435i −1.22191 0.193532i
\(305\) 5.54565 17.0677i 0.317543 0.977296i
\(306\) −3.07577 + 6.03654i −0.175830 + 0.345086i
\(307\) −29.8761 + 9.70732i −1.70512 + 0.554026i −0.989508 0.144476i \(-0.953850\pi\)
−0.715608 + 0.698502i \(0.753850\pi\)
\(308\) −3.04148 + 0.988237i −0.173304 + 0.0563100i
\(309\) −2.93643 + 5.76308i −0.167048 + 0.327850i
\(310\) 4.28998 13.2032i 0.243655 0.749892i
\(311\) 14.5714 + 2.30789i 0.826270 + 0.130868i 0.555227 0.831699i \(-0.312631\pi\)
0.271043 + 0.962567i \(0.412631\pi\)
\(312\) 5.37827 + 16.5526i 0.304485 + 0.937107i
\(313\) −2.59799 16.4031i −0.146847 0.927155i −0.945561 0.325445i \(-0.894486\pi\)
0.798714 0.601711i \(-0.205514\pi\)
\(314\) −8.63295 8.63295i −0.487186 0.487186i
\(315\) 2.38923 + 4.68913i 0.134618 + 0.264203i
\(316\) 8.68158 1.37503i 0.488377 0.0773513i
\(317\) 5.09527 32.1703i 0.286179 1.80686i −0.256085 0.966654i \(-0.582433\pi\)
0.542264 0.840208i \(-0.317567\pi\)
\(318\) 11.9897 8.71102i 0.672348 0.488490i
\(319\) 29.9383i 1.67622i
\(320\) 13.2123 + 18.1852i 0.738591 + 1.01658i
\(321\) 6.62105 + 3.37359i 0.369551 + 0.188296i
\(322\) 4.67476 2.38191i 0.260514 0.132739i
\(323\) −14.9828 + 20.6221i −0.833667 + 1.14744i
\(324\) −4.90181 3.56137i −0.272323 0.197854i
\(325\) 2.69940 2.69940i 0.149736 0.149736i
\(326\) 21.5141 + 6.99036i 1.19156 + 0.387160i
\(327\) −29.9655 −1.65710
\(328\) 17.2596 + 9.40369i 0.953003 + 0.519232i
\(329\) 4.03816 0.222631
\(330\) −33.1031 10.7558i −1.82226 0.592089i
\(331\) −1.33145 + 1.33145i −0.0731829 + 0.0731829i −0.742751 0.669568i \(-0.766479\pi\)
0.669568 + 0.742751i \(0.266479\pi\)
\(332\) −1.87813 1.36454i −0.103076 0.0748891i
\(333\) 0.770020 1.05984i 0.0421968 0.0580789i
\(334\) 3.28840 1.67553i 0.179934 0.0916807i
\(335\) −12.1173 6.17405i −0.662036 0.337324i
\(336\) −3.84818 5.29657i −0.209935 0.288951i
\(337\) 29.3757i 1.60020i 0.599870 + 0.800098i \(0.295219\pi\)
−0.599870 + 0.800098i \(0.704781\pi\)
\(338\) 6.17342 4.48526i 0.335790 0.243966i
\(339\) 4.54661 28.7062i 0.246938 1.55910i
\(340\) 4.22568 0.669282i 0.229170 0.0362969i
\(341\) 10.5964 + 20.7967i 0.573830 + 1.12620i
\(342\) −12.7576 12.7576i −0.689850 0.689850i
\(343\) 2.26443 + 14.2970i 0.122268 + 0.771968i
\(344\) −1.75237 5.39324i −0.0944814 0.290784i
\(345\) −21.0380 3.33209i −1.13265 0.179394i
\(346\) −3.94950 + 12.1553i −0.212326 + 0.653473i
\(347\) −12.7217 + 24.9677i −0.682936 + 1.34034i 0.245700 + 0.969346i \(0.420982\pi\)
−0.928636 + 0.370992i \(0.879018\pi\)
\(348\) 6.57304 2.13571i 0.352352 0.114486i
\(349\) 19.4391 6.31615i 1.04055 0.338096i 0.261598 0.965177i \(-0.415751\pi\)
0.778954 + 0.627081i \(0.215751\pi\)
\(350\) −0.922541 + 1.81059i −0.0493119 + 0.0967800i
\(351\) 2.07732 6.39332i 0.110879 0.341250i
\(352\) −15.1974 2.40703i −0.810022 0.128295i
\(353\) −8.94631 27.5339i −0.476164 1.46548i −0.844381 0.535743i \(-0.820032\pi\)
0.368217 0.929740i \(-0.379968\pi\)
\(354\) 0.325448 + 2.05480i 0.0172974 + 0.109211i
\(355\) −8.15412 8.15412i −0.432776 0.432776i
\(356\) 0.420205 + 0.824699i 0.0222708 + 0.0437090i
\(357\) −7.64143 + 1.21028i −0.404427 + 0.0640550i
\(358\) 0.360565 2.27652i 0.0190565 0.120318i
\(359\) 17.5745 12.7687i 0.927549 0.673904i −0.0178425 0.999841i \(-0.505680\pi\)
0.945391 + 0.325937i \(0.105680\pi\)
\(360\) 14.1746i 0.747067i
\(361\) −28.7318 39.5459i −1.51220 2.08136i
\(362\) −6.33856 3.22966i −0.333147 0.169747i
\(363\) 30.6362 15.6099i 1.60798 0.819308i
\(364\) −0.940562 + 1.29457i −0.0492989 + 0.0678541i
\(365\) −0.308511 0.224146i −0.0161482 0.0117324i
\(366\) −13.2040 + 13.2040i −0.690183 + 0.690183i
\(367\) 16.4047 + 5.33020i 0.856316 + 0.278234i 0.704089 0.710112i \(-0.251355\pi\)
0.152227 + 0.988346i \(0.451355\pi\)
\(368\) 9.98616 0.520565
\(369\) 4.98633 + 10.4932i 0.259578 + 0.546257i
\(370\) 2.21784 0.115300
\(371\) 6.06586 + 1.97092i 0.314924 + 0.102325i
\(372\) 3.81006 3.81006i 0.197542 0.197542i
\(373\) −13.7898 10.0189i −0.714007 0.518756i 0.170457 0.985365i \(-0.445476\pi\)
−0.884464 + 0.466609i \(0.845476\pi\)
\(374\) 11.3348 15.6010i 0.586106 0.806706i
\(375\) −17.5276 + 8.93074i −0.905119 + 0.461181i
\(376\) 9.69091 + 4.93776i 0.499770 + 0.254646i
\(377\) 8.80513 + 12.1192i 0.453487 + 0.624171i
\(378\) 3.57830i 0.184048i
\(379\) −29.9726 + 21.7764i −1.53959 + 1.11858i −0.588995 + 0.808137i \(0.700476\pi\)
−0.950593 + 0.310439i \(0.899524\pi\)
\(380\) −1.78231 + 11.2531i −0.0914308 + 0.577271i
\(381\) 29.2813 4.63771i 1.50013 0.237597i
\(382\) −1.73263 3.40048i −0.0886491 0.173984i
\(383\) −23.8870 23.8870i −1.22057 1.22057i −0.967430 0.253137i \(-0.918538\pi\)
−0.253137 0.967430i \(-0.581462\pi\)
\(384\) −1.61350 10.1872i −0.0823385 0.519865i
\(385\) −4.62893 14.2464i −0.235912 0.726062i
\(386\) 18.8246 + 2.98152i 0.958146 + 0.151755i
\(387\) 1.03579 3.18783i 0.0526521 0.162046i
\(388\) 1.08416 2.12778i 0.0550397 0.108021i
\(389\) −8.46056 + 2.74900i −0.428967 + 0.139380i −0.515540 0.856866i \(-0.672409\pi\)
0.0865726 + 0.996246i \(0.472409\pi\)
\(390\) −16.5637 + 5.38189i −0.838738 + 0.272522i
\(391\) 5.35751 10.5147i 0.270941 0.531752i
\(392\) −5.40787 + 16.6437i −0.273139 + 0.840635i
\(393\) −22.1780 3.51265i −1.11873 0.177190i
\(394\) 1.69517 + 5.21721i 0.0854016 + 0.262839i
\(395\) 6.44066 + 40.6647i 0.324065 + 2.04606i
\(396\) −3.60005 3.60005i −0.180909 0.180909i
\(397\) 3.80671 + 7.47109i 0.191053 + 0.374963i 0.966585 0.256345i \(-0.0825183\pi\)
−0.775532 + 0.631308i \(0.782518\pi\)
\(398\) 10.7091 1.69616i 0.536800 0.0850208i
\(399\) 3.22302 20.3493i 0.161353 1.01874i
\(400\) −3.12908 + 2.27341i −0.156454 + 0.113670i
\(401\) 24.8940i 1.24315i −0.783356 0.621573i \(-0.786494\pi\)
0.783356 0.621573i \(-0.213506\pi\)
\(402\) 8.31749 + 11.4480i 0.414839 + 0.570976i
\(403\) 10.4060 + 5.30213i 0.518361 + 0.264118i
\(404\) −1.49885 + 0.763701i −0.0745705 + 0.0379955i
\(405\) 16.6816 22.9602i 0.828914 1.14090i
\(406\) −6.45105 4.68696i −0.320160 0.232610i
\(407\) −2.63666 + 2.63666i −0.130694 + 0.130694i
\(408\) −19.8180 6.43927i −0.981139 0.318791i
\(409\) −8.75194 −0.432756 −0.216378 0.976310i \(-0.569424\pi\)
−0.216378 + 0.976310i \(0.569424\pi\)
\(410\) −9.41001 + 17.2712i −0.464727 + 0.852965i
\(411\) −12.5933 −0.621181
\(412\) −1.52331 0.494953i −0.0750480 0.0243846i
\(413\) −0.633096 + 0.633096i −0.0311526 + 0.0311526i
\(414\) 6.75743 + 4.90956i 0.332109 + 0.241292i
\(415\) 6.39156 8.79722i 0.313749 0.431839i
\(416\) −6.85993 + 3.49531i −0.336336 + 0.171372i
\(417\) 31.5269 + 16.0637i 1.54388 + 0.786645i
\(418\) 30.1848 + 41.5458i 1.47638 + 2.03207i
\(419\) 24.9286i 1.21784i −0.793232 0.608920i \(-0.791603\pi\)
0.793232 0.608920i \(-0.208397\pi\)
\(420\) −2.79762 + 2.03259i −0.136510 + 0.0991803i
\(421\) −1.70359 + 10.7560i −0.0830279 + 0.524217i 0.910761 + 0.412934i \(0.135496\pi\)
−0.993789 + 0.111283i \(0.964504\pi\)
\(422\) 7.70054 1.21965i 0.374857 0.0593714i
\(423\) 2.91861 + 5.72809i 0.141908 + 0.278509i
\(424\) 12.1470 + 12.1470i 0.589913 + 0.589913i
\(425\) 0.715005 + 4.51436i 0.0346828 + 0.218979i
\(426\) 3.70787 + 11.4117i 0.179647 + 0.552897i
\(427\) −7.93736 1.25715i −0.384116 0.0608380i
\(428\) −0.568639 + 1.75009i −0.0274862 + 0.0845938i
\(429\) 13.2935 26.0899i 0.641816 1.25963i
\(430\) 5.39686 1.75355i 0.260260 0.0845636i
\(431\) −18.5078 + 6.01355i −0.891490 + 0.289663i −0.718720 0.695300i \(-0.755272\pi\)
−0.172770 + 0.984962i \(0.555272\pi\)
\(432\) −3.09202 + 6.06844i −0.148765 + 0.291968i
\(433\) −1.43880 + 4.42816i −0.0691441 + 0.212804i −0.979658 0.200675i \(-0.935686\pi\)
0.910514 + 0.413479i \(0.135686\pi\)
\(434\) −6.14016 0.972505i −0.294737 0.0466818i
\(435\) 10.0037 + 30.7883i 0.479642 + 1.47618i
\(436\) −1.16081 7.32908i −0.0555928 0.350999i
\(437\) 22.2217 + 22.2217i 1.06301 + 1.06301i
\(438\) 0.180140 + 0.353544i 0.00860742 + 0.0168930i
\(439\) 12.3177 1.95093i 0.587891 0.0931127i 0.144599 0.989490i \(-0.453811\pi\)
0.443291 + 0.896378i \(0.353811\pi\)
\(440\) 6.31146 39.8490i 0.300887 1.89973i
\(441\) −8.36849 + 6.08007i −0.398500 + 0.289527i
\(442\) 9.64904i 0.458958i
\(443\) 8.10317 + 11.1531i 0.384993 + 0.529897i 0.956899 0.290422i \(-0.0937957\pi\)
−0.571906 + 0.820319i \(0.693796\pi\)
\(444\) 0.766979 + 0.390795i 0.0363992 + 0.0185463i
\(445\) −3.86291 + 1.96825i −0.183120 + 0.0933041i
\(446\) −2.90354 + 3.99638i −0.137487 + 0.189234i
\(447\) −9.63853 7.00280i −0.455887 0.331221i
\(448\) 7.11757 7.11757i 0.336274 0.336274i
\(449\) −5.07254 1.64817i −0.239388 0.0777819i 0.186866 0.982385i \(-0.440167\pi\)
−0.426254 + 0.904604i \(0.640167\pi\)
\(450\) −3.23507 −0.152503
\(451\) −9.34576 31.7198i −0.440075 1.49363i
\(452\) 7.19720 0.338528
\(453\) −7.06929 2.29695i −0.332144 0.107920i
\(454\) −0.490022 + 0.490022i −0.0229979 + 0.0229979i
\(455\) −6.06381 4.40562i −0.284276 0.206539i
\(456\) 32.6173 44.8939i 1.52745 2.10235i
\(457\) −9.05273 + 4.61259i −0.423469 + 0.215768i −0.652720 0.757599i \(-0.726372\pi\)
0.229251 + 0.973367i \(0.426372\pi\)
\(458\) −25.8495 13.1710i −1.20787 0.615440i
\(459\) 4.73078 + 6.51136i 0.220814 + 0.303924i
\(460\) 5.27464i 0.245932i
\(461\) −24.0238 + 17.4543i −1.11890 + 0.812927i −0.984042 0.177938i \(-0.943057\pi\)
−0.134856 + 0.990865i \(0.543057\pi\)
\(462\) −2.43826 + 15.3946i −0.113438 + 0.716221i
\(463\) 37.9429 6.00956i 1.76336 0.279288i 0.811171 0.584809i \(-0.198831\pi\)
0.952185 + 0.305521i \(0.0988307\pi\)
\(464\) −6.89032 13.5230i −0.319875 0.627790i
\(465\) 17.8464 + 17.8464i 0.827607 + 0.827607i
\(466\) −2.34379 14.7981i −0.108574 0.685509i
\(467\) 0.851187 + 2.61968i 0.0393882 + 0.121224i 0.968817 0.247777i \(-0.0796999\pi\)
−0.929429 + 0.369001i \(0.879700\pi\)
\(468\) −2.51614 0.398517i −0.116308 0.0184214i
\(469\) −1.88188 + 5.79183i −0.0868971 + 0.267442i
\(470\) −4.94108 + 9.69742i −0.227915 + 0.447309i
\(471\) 21.1093 6.85882i 0.972664 0.316038i
\(472\) −2.29346 + 0.745190i −0.105565 + 0.0343001i
\(473\) −4.33134 + 8.50073i −0.199155 + 0.390864i
\(474\) 13.2383 40.7432i 0.608053 1.87139i
\(475\) −12.0219 1.90408i −0.551601 0.0873651i
\(476\) −0.592032 1.82209i −0.0271357 0.0835152i
\(477\) 1.58841 + 10.0289i 0.0727285 + 0.459190i
\(478\) −5.78989 5.78989i −0.264823 0.264823i
\(479\) 16.3580 + 32.1043i 0.747415 + 1.46688i 0.879628 + 0.475663i \(0.157792\pi\)
−0.132213 + 0.991221i \(0.542208\pi\)
\(480\) −16.4331 + 2.60275i −0.750067 + 0.118799i
\(481\) −0.291872 + 1.84281i −0.0133082 + 0.0840247i
\(482\) −18.7264 + 13.6055i −0.852965 + 0.619715i
\(483\) 9.53831i 0.434008i
\(484\) 5.00473 + 6.88842i 0.227488 + 0.313110i
\(485\) 9.96656 + 5.07822i 0.452558 + 0.230590i
\(486\) −17.9192 + 9.13027i −0.812830 + 0.414157i
\(487\) −8.99982 + 12.3872i −0.407821 + 0.561317i −0.962685 0.270624i \(-0.912770\pi\)
0.554865 + 0.831941i \(0.312770\pi\)
\(488\) −17.5111 12.7226i −0.792690 0.575923i
\(489\) −29.0800 + 29.0800i −1.31505 + 1.31505i
\(490\) −16.6549 5.41151i −0.752392 0.244467i
\(491\) 8.39830 0.379010 0.189505 0.981880i \(-0.439312\pi\)
0.189505 + 0.981880i \(0.439312\pi\)
\(492\) −6.29749 + 4.31469i −0.283913 + 0.194521i
\(493\) −17.9354 −0.807769
\(494\) 24.4380 + 7.94039i 1.09952 + 0.357255i
\(495\) 16.8627 16.8627i 0.757924 0.757924i
\(496\) −9.57276 6.95502i −0.429830 0.312290i
\(497\) −3.03527 + 4.17769i −0.136150 + 0.187395i
\(498\) −10.0814 + 5.13671i −0.451757 + 0.230182i
\(499\) 6.86475 + 3.49776i 0.307308 + 0.156581i 0.600843 0.799367i \(-0.294832\pi\)
−0.293535 + 0.955948i \(0.594832\pi\)
\(500\) −2.86330 3.94100i −0.128051 0.176247i
\(501\) 6.70961i 0.299763i
\(502\) 1.84068 1.33733i 0.0821534 0.0596879i
\(503\) 2.90709 18.3546i 0.129621 0.818392i −0.834126 0.551574i \(-0.814028\pi\)
0.963747 0.266818i \(-0.0859724\pi\)
\(504\) 6.26927 0.992955i 0.279256 0.0442298i
\(505\) −3.57720 7.02064i −0.159183 0.312414i
\(506\) −16.8111 16.8111i −0.747343 0.747343i
\(507\) 2.17017 + 13.7019i 0.0963806 + 0.608523i
\(508\) 2.26862 + 6.98209i 0.100654 + 0.309780i
\(509\) −17.4808 2.76869i −0.774823 0.122720i −0.243513 0.969898i \(-0.578300\pi\)
−0.531310 + 0.847178i \(0.678300\pi\)
\(510\) 6.44360 19.8314i 0.285327 0.878147i
\(511\) −0.0775257 + 0.152153i −0.00342954 + 0.00673085i
\(512\) 22.7049 7.37726i 1.00342 0.326032i
\(513\) −20.3843 + 6.62326i −0.899989 + 0.292424i
\(514\) 15.3371 30.1008i 0.676491 1.32769i
\(515\) 2.31837 7.13522i 0.102160 0.314415i
\(516\) 2.17535 + 0.344541i 0.0957643 + 0.0151676i
\(517\) −5.65455 17.4029i −0.248687 0.765379i
\(518\) −0.155363 0.980925i −0.00682627 0.0430994i
\(519\) −16.4300 16.4300i −0.721196 0.721196i
\(520\) −9.16504 17.9874i −0.401914 0.788800i
\(521\) −25.2617 + 4.00106i −1.10673 + 0.175289i −0.682944 0.730471i \(-0.739301\pi\)
−0.423790 + 0.905760i \(0.639301\pi\)
\(522\) 1.98587 12.5383i 0.0869191 0.548786i
\(523\) 21.3827 15.5354i 0.934998 0.679316i −0.0122132 0.999925i \(-0.503888\pi\)
0.947211 + 0.320609i \(0.103888\pi\)
\(524\) 5.56046i 0.242910i
\(525\) −2.17145 2.98875i −0.0947699 0.130440i
\(526\) 4.45150 + 2.26815i 0.194095 + 0.0988962i
\(527\) −12.4589 + 6.34811i −0.542717 + 0.276528i
\(528\) −17.4376 + 24.0008i −0.758875 + 1.04450i
\(529\) 6.83700 + 4.96737i 0.297261 + 0.215973i
\(530\) −12.1552 + 12.1552i −0.527989 + 0.527989i
\(531\) −1.35562 0.440466i −0.0588287 0.0191146i
\(532\) 5.10197 0.221199
\(533\) −13.1123 10.0917i −0.567958 0.437122i
\(534\) 4.51112 0.195215
\(535\) −8.19747 2.66352i −0.354407 0.115154i
\(536\) −11.5983 + 11.5983i −0.500970 + 0.500970i
\(537\) 3.39001 + 2.46299i 0.146290 + 0.106286i
\(538\) −21.1111 + 29.0569i −0.910165 + 1.25273i
\(539\) 26.2335 13.3667i 1.12996 0.575743i
\(540\) 3.20532 + 1.63319i 0.137935 + 0.0702814i
\(541\) 11.1474 + 15.3431i 0.479266 + 0.659653i 0.978364 0.206893i \(-0.0663351\pi\)
−0.499098 + 0.866546i \(0.666335\pi\)
\(542\) 27.9893i 1.20224i
\(543\) 10.4631 7.60188i 0.449014 0.326228i
\(544\) 1.44200 9.10442i 0.0618252 0.390349i
\(545\) 34.3296 5.43728i 1.47052 0.232907i
\(546\) 3.54067 + 6.94895i 0.151527 + 0.297388i
\(547\) 11.0744 + 11.0744i 0.473506 + 0.473506i 0.903047 0.429541i \(-0.141325\pi\)
−0.429541 + 0.903047i \(0.641325\pi\)
\(548\) −0.487842 3.08011i −0.0208396 0.131576i
\(549\) −3.95352 12.1677i −0.168732 0.519304i
\(550\) 9.09474 + 1.44047i 0.387801 + 0.0614216i
\(551\) 14.7594 45.4247i 0.628771 1.93516i
\(552\) −11.6632 + 22.8903i −0.496418 + 0.974276i
\(553\) 17.5344 5.69727i 0.745638 0.242273i
\(554\) 28.4285 9.23699i 1.20781 0.392442i
\(555\) −1.83050 + 3.59255i −0.0777002 + 0.152495i
\(556\) −2.70764 + 8.33325i −0.114829 + 0.353408i
\(557\) 30.3636 + 4.80913i 1.28655 + 0.203769i 0.761981 0.647600i \(-0.224227\pi\)
0.524567 + 0.851369i \(0.324227\pi\)
\(558\) −3.05835 9.41263i −0.129470 0.398468i
\(559\) 0.746789 + 4.71504i 0.0315858 + 0.199425i
\(560\) 5.36969 + 5.36969i 0.226911 + 0.226911i
\(561\) 15.9160 + 31.2368i 0.671973 + 1.31882i
\(562\) −0.253504 + 0.0401511i −0.0106934 + 0.00169367i
\(563\) −3.47564 + 21.9443i −0.146481 + 0.924844i 0.799510 + 0.600652i \(0.205092\pi\)
−0.945991 + 0.324192i \(0.894908\pi\)
\(564\) −3.41748 + 2.48295i −0.143902 + 0.104551i
\(565\) 33.7119i 1.41827i
\(566\) 7.82744 + 10.7735i 0.329012 + 0.452846i
\(567\) −11.3236 5.76967i −0.475547 0.242303i
\(568\) −12.3925 + 6.31429i −0.519978 + 0.264942i
\(569\) 2.76582 3.80682i 0.115949 0.159590i −0.747098 0.664714i \(-0.768553\pi\)
0.863047 + 0.505124i \(0.168553\pi\)
\(570\) 44.9241 + 32.6393i 1.88166 + 1.36711i
\(571\) 9.49358 9.49358i 0.397294 0.397294i −0.479983 0.877278i \(-0.659357\pi\)
0.877278 + 0.479983i \(0.159357\pi\)
\(572\) 6.89615 + 2.24070i 0.288343 + 0.0936882i
\(573\) 6.93828 0.289851
\(574\) 8.29806 + 2.95207i 0.346354 + 0.123217i
\(575\) 5.63499 0.234995
\(576\) 15.2405 + 4.95193i 0.635020 + 0.206330i
\(577\) −11.7501 + 11.7501i −0.489162 + 0.489162i −0.908042 0.418880i \(-0.862423\pi\)
0.418880 + 0.908042i \(0.362423\pi\)
\(578\) −7.25289 5.26953i −0.301680 0.219184i
\(579\) −20.3665 + 28.0321i −0.846403 + 1.16497i
\(580\) −7.14279 + 3.63944i −0.296588 + 0.151119i
\(581\) −4.33866 2.21066i −0.179998 0.0917135i
\(582\) −6.84122 9.41613i −0.283578 0.390311i
\(583\) 28.9013i 1.19697i
\(584\) −0.372097 + 0.270344i −0.0153975 + 0.0111869i
\(585\) 1.86666 11.7856i 0.0771770 0.487276i
\(586\) 9.07063 1.43665i 0.374704 0.0593473i
\(587\) −11.9109 23.3764i −0.491615 0.964849i −0.994913 0.100736i \(-0.967880\pi\)
0.503298 0.864113i \(-0.332120\pi\)
\(588\) −4.80612 4.80612i −0.198201 0.198201i
\(589\) −5.82513 36.7784i −0.240020 1.51543i
\(590\) −0.745691 2.29500i −0.0306996 0.0944837i
\(591\) −9.85018 1.56012i −0.405182 0.0641746i
\(592\) 0.584142 1.79780i 0.0240081 0.0738892i
\(593\) 1.10491 2.16850i 0.0453730 0.0890496i −0.867207 0.497948i \(-0.834087\pi\)
0.912580 + 0.408898i \(0.134087\pi\)
\(594\) 15.4211 5.01060i 0.632734 0.205588i
\(595\) 8.53470 2.77309i 0.349889 0.113686i
\(596\) 1.33939 2.62871i 0.0548637 0.107676i
\(597\) −6.09129 + 18.7471i −0.249300 + 0.767266i
\(598\) −11.7495 1.86094i −0.480474 0.0760996i
\(599\) 5.18017 + 15.9429i 0.211656 + 0.651410i 0.999374 + 0.0353745i \(0.0112624\pi\)
−0.787718 + 0.616036i \(0.788738\pi\)
\(600\) −1.55655 9.82767i −0.0635459 0.401213i
\(601\) −8.61367 8.61367i −0.351359 0.351359i 0.509256 0.860615i \(-0.329921\pi\)
−0.860615 + 0.509256i \(0.829921\pi\)
\(602\) −1.15363 2.26413i −0.0470186 0.0922793i
\(603\) −9.57579 + 1.51666i −0.389956 + 0.0617630i
\(604\) 0.287946 1.81802i 0.0117163 0.0739740i
\(605\) −32.2656 + 23.4423i −1.31178 + 0.953065i
\(606\) 8.19872i 0.333050i
\(607\) 2.60922 + 3.59129i 0.105905 + 0.145766i 0.858680 0.512512i \(-0.171285\pi\)
−0.752775 + 0.658278i \(0.771285\pi\)
\(608\) 21.8720 + 11.1443i 0.887027 + 0.451963i
\(609\) 12.9165 6.58131i 0.523405 0.266688i
\(610\) 12.7311 17.5229i 0.515468 0.709480i
\(611\) −7.40736 5.38176i −0.299670 0.217723i
\(612\) 2.15672 2.15672i 0.0871801 0.0871801i
\(613\) 45.1753 + 14.6783i 1.82461 + 0.592852i 0.999616 + 0.0277136i \(0.00882263\pi\)
0.824996 + 0.565139i \(0.191177\pi\)
\(614\) −37.9136 −1.53007
\(615\) −20.2101 29.4976i −0.814951 1.18946i
\(616\) −18.0669 −0.727936
\(617\) −35.6237 11.5748i −1.43416 0.465985i −0.514086 0.857739i \(-0.671869\pi\)
−0.920070 + 0.391753i \(0.871869\pi\)
\(618\) −5.51996 + 5.51996i −0.222046 + 0.222046i
\(619\) −12.2778 8.92032i −0.493485 0.358538i 0.313038 0.949741i \(-0.398653\pi\)
−0.806523 + 0.591203i \(0.798653\pi\)
\(620\) −3.67361 + 5.05629i −0.147536 + 0.203065i
\(621\) 8.84121 4.50482i 0.354785 0.180772i
\(622\) 15.8650 + 8.08364i 0.636130 + 0.324125i
\(623\) 1.14114 + 1.57064i 0.0457188 + 0.0629265i
\(624\) 14.8443i 0.594246i
\(625\) 24.4357 17.7535i 0.977427 0.710142i
\(626\) 3.13556 19.7971i 0.125322 0.791253i
\(627\) −92.2107 + 14.6047i −3.68254 + 0.583257i
\(628\) 2.49529 + 4.89729i 0.0995731 + 0.195423i
\(629\) −1.57957 1.57957i −0.0629816 0.0629816i
\(630\) 0.993623 + 6.27349i 0.0395869 + 0.249942i
\(631\) −1.82817 5.62652i −0.0727782 0.223988i 0.908050 0.418861i \(-0.137571\pi\)
−0.980829 + 0.194873i \(0.937571\pi\)
\(632\) 49.0460 + 7.76813i 1.95095 + 0.308999i
\(633\) −4.38002 + 13.4803i −0.174090 + 0.535795i
\(634\) 17.8468 35.0262i 0.708785 1.39107i
\(635\) −32.7043 + 10.6263i −1.29783 + 0.421691i
\(636\) −6.34538 + 2.06174i −0.251611 + 0.0817532i
\(637\) 6.68826 13.1264i 0.264999 0.520089i
\(638\) −11.1657 + 34.3646i −0.442055 + 1.36051i
\(639\) −8.11977 1.28604i −0.321213 0.0508751i
\(640\) 3.69697 + 11.3781i 0.146136 + 0.449759i
\(641\) −5.46005 34.4734i −0.215659 1.36162i −0.823391 0.567475i \(-0.807920\pi\)
0.607732 0.794143i \(-0.292080\pi\)
\(642\) 6.34174 + 6.34174i 0.250289 + 0.250289i
\(643\) −14.6680 28.7876i −0.578451 1.13527i −0.976016 0.217700i \(-0.930145\pi\)
0.397565 0.917574i \(-0.369855\pi\)
\(644\) −2.33292 + 0.369498i −0.0919298 + 0.0145603i
\(645\) −1.61384 + 10.1894i −0.0635448 + 0.401206i
\(646\) −24.8892 + 18.0831i −0.979252 + 0.711468i
\(647\) 0.686839i 0.0270024i −0.999909 0.0135012i \(-0.995702\pi\)
0.999909 0.0135012i \(-0.00429770\pi\)
\(648\) −20.1197 27.6925i −0.790378 1.08786i
\(649\) 3.61491 + 1.84189i 0.141898 + 0.0723004i
\(650\) 4.10527 2.09174i 0.161022 0.0820447i
\(651\) 6.64310 9.14344i 0.260364 0.358360i
\(652\) −8.23903 5.98600i −0.322665 0.234430i
\(653\) 33.7065 33.7065i 1.31904 1.31904i 0.404500 0.914538i \(-0.367446\pi\)
0.914538 0.404500i \(-0.132554\pi\)
\(654\) −34.3958 11.1759i −1.34498 0.437011i
\(655\) 26.0454 1.01768
\(656\) 11.5218 + 12.1768i 0.449851 + 0.475425i
\(657\) −0.271859 −0.0106062
\(658\) 4.63520 + 1.50607i 0.180699 + 0.0587126i
\(659\) 31.4326 31.4326i 1.22444 1.22444i 0.258404 0.966037i \(-0.416803\pi\)
0.966037 0.258404i \(-0.0831967\pi\)
\(660\) 12.6771 + 9.21046i 0.493456 + 0.358517i
\(661\) −14.1153 + 19.4280i −0.549020 + 0.755662i −0.989879 0.141915i \(-0.954674\pi\)
0.440859 + 0.897577i \(0.354674\pi\)
\(662\) −2.02487 + 1.03172i −0.0786989 + 0.0400991i
\(663\) 15.6299 + 7.96385i 0.607017 + 0.309290i
\(664\) −7.70890 10.6104i −0.299163 0.411763i
\(665\) 23.8978i 0.926716i
\(666\) 1.27914 0.929351i 0.0495657 0.0360116i
\(667\) −3.45907 + 21.8397i −0.133936 + 0.845638i
\(668\) −1.64106 + 0.259919i −0.0634946 + 0.0100566i
\(669\) −4.07707 8.00170i −0.157629 0.309364i
\(670\) −11.6061 11.6061i −0.448382 0.448382i
\(671\) 5.69666 + 35.9673i 0.219917 + 1.38850i
\(672\) 2.30234 + 7.08587i 0.0888147 + 0.273344i
\(673\) 15.1756 + 2.40357i 0.584975 + 0.0926510i 0.441906 0.897062i \(-0.354303\pi\)
0.143070 + 0.989713i \(0.454303\pi\)
\(674\) −10.9559 + 33.7188i −0.422006 + 1.29880i
\(675\) −1.74477 + 3.42430i −0.0671561 + 0.131801i
\(676\) −3.26720 + 1.06158i −0.125662 + 0.0408299i
\(677\) −30.7055 + 9.97682i −1.18011 + 0.383440i −0.832407 0.554165i \(-0.813038\pi\)
−0.347701 + 0.937605i \(0.613038\pi\)
\(678\) 15.9250 31.2546i 0.611596 1.20033i
\(679\) 1.54787 4.76384i 0.0594016 0.182819i
\(680\) 23.8727 + 3.78106i 0.915476 + 0.144997i
\(681\) −0.389319 1.19820i −0.0149187 0.0459152i
\(682\) 4.40680 + 27.8235i 0.168745 + 1.06542i
\(683\) 11.8785 + 11.8785i 0.454518 + 0.454518i 0.896851 0.442333i \(-0.145849\pi\)
−0.442333 + 0.896851i \(0.645849\pi\)
\(684\) 3.68748 + 7.23710i 0.140994 + 0.276717i
\(685\) 14.4273 2.28507i 0.551240 0.0873079i
\(686\) −2.73298 + 17.2554i −0.104346 + 0.658813i
\(687\) 42.6699 31.0015i 1.62796 1.18278i
\(688\) 4.83661i 0.184394i
\(689\) −8.50015 11.6995i −0.323830 0.445714i
\(690\) −22.9057 11.6710i −0.872005 0.444309i
\(691\) −23.1214 + 11.7810i −0.879581 + 0.448169i −0.834624 0.550820i \(-0.814315\pi\)
−0.0449572 + 0.998989i \(0.514315\pi\)
\(692\) 3.38204 4.65498i 0.128566 0.176956i
\(693\) −8.63947 6.27694i −0.328186 0.238441i
\(694\) −23.9145 + 23.9145i −0.907781 + 0.907781i
\(695\) −39.0332 12.6826i −1.48061 0.481080i
\(696\) 39.0450 1.48000
\(697\) 19.0027 5.59885i 0.719778 0.212072i
\(698\) 24.6688 0.933727
\(699\) 25.9051 + 8.41708i 0.979821 + 0.318363i
\(700\) 0.646881 0.646881i 0.0244498 0.0244498i
\(701\) 22.0790 + 16.0413i 0.833911 + 0.605872i 0.920663 0.390358i \(-0.127649\pi\)
−0.0867523 + 0.996230i \(0.527649\pi\)
\(702\) 4.76888 6.56381i 0.179990 0.247735i
\(703\) 5.30042 2.70070i 0.199909 0.101859i
\(704\) −40.6405 20.7074i −1.53170 0.780439i
\(705\) −11.6302 16.0076i −0.438018 0.602880i
\(706\) 34.9413i 1.31503i
\(707\) −2.85456 + 2.07396i −0.107357 + 0.0779994i
\(708\) 0.146515 0.925059i 0.00550637 0.0347659i
\(709\) −44.8571 + 7.10466i −1.68464 + 0.266821i −0.924012 0.382364i \(-0.875110\pi\)
−0.760631 + 0.649185i \(0.775110\pi\)
\(710\) −6.31854 12.4008i −0.237131 0.465395i
\(711\) 20.7546 + 20.7546i 0.778359 + 0.778359i
\(712\) 0.817998 + 5.16463i 0.0306558 + 0.193553i
\(713\) 5.32717 + 16.3953i 0.199504 + 0.614010i
\(714\) −9.22258 1.46071i −0.345146 0.0546658i
\(715\) −10.4955 + 32.3018i −0.392509 + 1.20802i
\(716\) −0.471085 + 0.924556i −0.0176053 + 0.0345523i
\(717\) 14.1574 4.60002i 0.528719 0.171791i
\(718\) 24.9351 8.10189i 0.930569 0.302360i
\(719\) −12.6131 + 24.7546i −0.470390 + 0.923192i 0.526922 + 0.849914i \(0.323346\pi\)
−0.997312 + 0.0732784i \(0.976654\pi\)
\(720\) −3.73587 + 11.4978i −0.139228 + 0.428499i
\(721\) −3.31824 0.525557i −0.123578 0.0195728i
\(722\) −18.2307 56.1084i −0.678477 2.08814i
\(723\) −6.58297 41.5633i −0.244823 1.54575i
\(724\) 2.26462 + 2.26462i 0.0841640 + 0.0841640i
\(725\) −3.88807 7.63077i −0.144399 0.283400i
\(726\) 40.9875 6.49179i 1.52119 0.240933i
\(727\) −2.75993 + 17.4255i −0.102360 + 0.646276i 0.882153 + 0.470963i \(0.156094\pi\)
−0.984513 + 0.175313i \(0.943906\pi\)
\(728\) −7.31361 + 5.31365i −0.271060 + 0.196937i
\(729\) 3.10848i 0.115129i
\(730\) −0.270526 0.372347i −0.0100126 0.0137812i
\(731\) −5.09261 2.59481i −0.188357 0.0959726i
\(732\) 7.49034 3.81652i 0.276851 0.141063i
\(733\) −5.53747 + 7.62168i −0.204531 + 0.281513i −0.898944 0.438064i \(-0.855664\pi\)
0.694413 + 0.719577i \(0.255664\pi\)
\(734\) 16.8421 + 12.2365i 0.621653 + 0.451658i
\(735\) 22.5120 22.5120i 0.830367 0.830367i
\(736\) −10.8083 3.51181i −0.398397 0.129447i
\(737\) 27.5957 1.01650
\(738\) 1.81000 + 13.9043i 0.0666271 + 0.511826i
\(739\) 0.347492 0.0127827 0.00639135 0.999980i \(-0.497966\pi\)
0.00639135 + 0.999980i \(0.497966\pi\)
\(740\) −0.949591 0.308541i −0.0349077 0.0113422i
\(741\) −33.0322 + 33.0322i −1.21347 + 1.21347i
\(742\) 6.22761 + 4.52463i 0.228623 + 0.166104i
\(743\) 4.23794 5.83302i 0.155475 0.213993i −0.724173 0.689618i \(-0.757778\pi\)
0.879648 + 0.475626i \(0.157778\pi\)
\(744\) 27.1227 13.8197i 0.994366 0.506655i
\(745\) 12.3129 + 6.27375i 0.451111 + 0.229853i
\(746\) −12.0919 16.6431i −0.442717 0.609348i
\(747\) 7.75210i 0.283635i
\(748\) −7.02347 + 5.10285i −0.256804 + 0.186579i
\(749\) −0.603799 + 3.81223i −0.0220623 + 0.139296i
\(750\) −23.4498 + 3.71408i −0.856264 + 0.135619i
\(751\) 8.85526 + 17.3794i 0.323133 + 0.634184i 0.994240 0.107176i \(-0.0341809\pi\)
−0.671107 + 0.741361i \(0.734181\pi\)
\(752\) 6.55944 + 6.55944i 0.239198 + 0.239198i
\(753\) 0.647060 + 4.08538i 0.0235802 + 0.148879i
\(754\) 5.58698 + 17.1950i 0.203466 + 0.626203i
\(755\) 8.51564 + 1.34874i 0.309916 + 0.0490858i
\(756\) 0.497805 1.53209i 0.0181050 0.0557215i
\(757\) −7.98828 + 15.6779i −0.290339 + 0.569823i −0.989396 0.145244i \(-0.953603\pi\)
0.699057 + 0.715066i \(0.253603\pi\)
\(758\) −42.5256 + 13.8174i −1.54460 + 0.501871i
\(759\) 41.1064 13.3563i 1.49207 0.484802i
\(760\) −29.2216 + 57.3506i −1.05998 + 2.08032i
\(761\) 7.86010 24.1909i 0.284928 0.876919i −0.701492 0.712678i \(-0.747482\pi\)
0.986420 0.164242i \(-0.0525177\pi\)
\(762\) 35.3402 + 5.59734i 1.28024 + 0.202770i
\(763\) −4.80970 14.8027i −0.174123 0.535895i
\(764\) 0.268777 + 1.69699i 0.00