Properties

Label 588.2.x.a.223.9
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.9
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.a.559.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.743900 + 1.20275i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-0.893226 - 1.78945i) q^{4} +(-1.38638 - 0.316432i) q^{5} +(-1.00706 - 0.992886i) q^{6} +(-0.327037 - 2.62546i) q^{7} +(2.81674 + 0.256845i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(-0.743900 + 1.20275i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-0.893226 - 1.78945i) q^{4} +(-1.38638 - 0.316432i) q^{5} +(-1.00706 - 0.992886i) q^{6} +(-0.327037 - 2.62546i) q^{7} +(2.81674 + 0.256845i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(1.41192 - 1.43208i) q^{10} +(0.736155 + 1.52864i) q^{11} +(1.94335 - 0.472640i) q^{12} +(0.572318 + 1.18843i) q^{13} +(3.40106 + 1.55974i) q^{14} +(0.616996 - 1.28121i) q^{15} +(-2.40429 + 3.19677i) q^{16} +(-1.94350 + 1.54989i) q^{17} +(1.19209 - 0.760876i) q^{18} +7.65788 q^{19} +(0.672109 + 2.76351i) q^{20} +(2.63241 + 0.265383i) q^{21} +(-2.38620 - 0.251744i) q^{22} +(6.25283 + 4.98647i) q^{23} +(-0.877190 + 2.68897i) q^{24} +(-2.68293 - 1.29203i) q^{25} +(-1.85513 - 0.195717i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-4.40603 + 2.93035i) q^{28} +(5.04628 + 6.32784i) q^{29} +(1.08199 + 1.69518i) q^{30} -0.568290 q^{31} +(-2.05637 - 5.26985i) q^{32} +(-1.65412 + 0.377543i) q^{33} +(-0.418364 - 3.49051i) q^{34} +(-0.377383 + 3.74337i) q^{35} +(0.0283536 + 1.99980i) q^{36} +(2.14273 + 2.68690i) q^{37} +(-5.69670 + 9.21053i) q^{38} +(-1.28599 + 0.293518i) q^{39} +(-3.82379 - 1.24739i) q^{40} +(0.860244 + 0.196345i) q^{41} +(-2.27744 + 2.96872i) q^{42} +(3.14099 - 0.716910i) q^{43} +(2.07788 - 2.68274i) q^{44} +(1.11179 + 0.886622i) q^{45} +(-10.6490 + 3.81118i) q^{46} +(5.38800 - 2.59473i) q^{47} +(-2.58162 - 3.05536i) q^{48} +(-6.78609 + 1.71724i) q^{49} +(3.54982 - 2.26576i) q^{50} +(-1.07856 - 2.23965i) q^{51} +(1.61543 - 2.08567i) q^{52} +(-3.41255 + 4.27920i) q^{53} +(0.476536 + 1.33151i) q^{54} +(-0.536878 - 2.35222i) q^{55} +(-0.246840 - 7.47924i) q^{56} +(-1.70404 + 7.46588i) q^{57} +(-11.3648 + 1.36215i) q^{58} +(-2.27091 - 9.94952i) q^{59} +(-2.84378 + 0.0403197i) q^{60} +(-0.303170 + 0.241770i) q^{61} +(0.422751 - 0.683513i) q^{62} +(-0.844495 + 2.50735i) q^{63} +(7.86806 + 1.44693i) q^{64} +(-0.417392 - 1.82871i) q^{65} +(0.776412 - 2.27036i) q^{66} -9.48014i q^{67} +(4.50944 + 2.09340i) q^{68} +(-6.25283 + 4.98647i) q^{69} +(-4.22161 - 3.23859i) q^{70} +(11.7253 + 9.35058i) q^{71} +(-2.42635 - 1.45355i) q^{72} +(1.03475 - 2.14868i) q^{73} +(-4.82565 + 0.578390i) q^{74} +(1.85664 - 2.32816i) q^{75} +(-6.84022 - 13.7034i) q^{76} +(3.77264 - 2.43267i) q^{77} +(0.603616 - 1.76507i) q^{78} +17.1021i q^{79} +(4.34482 - 3.67114i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-0.876090 + 0.888600i) q^{82} +(2.34188 + 1.12779i) q^{83} +(-1.87644 - 4.94762i) q^{84} +(3.18486 - 1.53375i) q^{85} +(-1.47432 + 4.31114i) q^{86} +(-7.29209 + 3.51169i) q^{87} +(1.68093 + 4.49486i) q^{88} +(-5.14003 + 10.6734i) q^{89} +(-1.89345 + 0.677649i) q^{90} +(2.93301 - 1.89126i) q^{91} +(3.33787 - 15.6432i) q^{92} +(0.126457 - 0.554042i) q^{93} +(-0.887323 + 8.41065i) q^{94} +(-10.6167 - 2.42320i) q^{95} +(5.59531 - 0.832163i) q^{96} +1.85665i q^{97} +(2.98275 - 9.43945i) q^{98} -1.69666i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.743900 + 1.20275i −0.526017 + 0.850474i
\(3\) −0.222521 + 0.974928i −0.128473 + 0.562875i
\(4\) −0.893226 1.78945i −0.446613 0.894727i
\(5\) −1.38638 0.316432i −0.620007 0.141513i −0.0990318 0.995084i \(-0.531575\pi\)
−0.520975 + 0.853572i \(0.674432\pi\)
\(6\) −1.00706 0.992886i −0.411132 0.405344i
\(7\) −0.327037 2.62546i −0.123608 0.992331i
\(8\) 2.81674 + 0.256845i 0.995868 + 0.0908086i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) 1.41192 1.43208i 0.446487 0.452862i
\(11\) 0.736155 + 1.52864i 0.221959 + 0.460903i 0.981977 0.188999i \(-0.0605243\pi\)
−0.760018 + 0.649902i \(0.774810\pi\)
\(12\) 1.94335 0.472640i 0.560997 0.136439i
\(13\) 0.572318 + 1.18843i 0.158732 + 0.329611i 0.965134 0.261757i \(-0.0843021\pi\)
−0.806401 + 0.591369i \(0.798588\pi\)
\(14\) 3.40106 + 1.55974i 0.908972 + 0.416857i
\(15\) 0.616996 1.28121i 0.159308 0.330806i
\(16\) −2.40429 + 3.19677i −0.601074 + 0.799194i
\(17\) −1.94350 + 1.54989i −0.471368 + 0.375903i −0.830170 0.557510i \(-0.811757\pi\)
0.358802 + 0.933414i \(0.383185\pi\)
\(18\) 1.19209 0.760876i 0.280977 0.179340i
\(19\) 7.65788 1.75684 0.878419 0.477891i \(-0.158599\pi\)
0.878419 + 0.477891i \(0.158599\pi\)
\(20\) 0.672109 + 2.76351i 0.150288 + 0.617939i
\(21\) 2.63241 + 0.265383i 0.574439 + 0.0579113i
\(22\) −2.38620 0.251744i −0.508740 0.0536720i
\(23\) 6.25283 + 4.98647i 1.30381 + 1.03975i 0.996097 + 0.0882702i \(0.0281339\pi\)
0.307709 + 0.951480i \(0.400438\pi\)
\(24\) −0.877190 + 2.68897i −0.179056 + 0.548883i
\(25\) −2.68293 1.29203i −0.536586 0.258406i
\(26\) −1.85513 0.195717i −0.363822 0.0383832i
\(27\) 0.623490 0.781831i 0.119991 0.150464i
\(28\) −4.40603 + 2.93035i −0.832661 + 0.553784i
\(29\) 5.04628 + 6.32784i 0.937071 + 1.17505i 0.984360 + 0.176169i \(0.0563706\pi\)
−0.0472885 + 0.998881i \(0.515058\pi\)
\(30\) 1.08199 + 1.69518i 0.197543 + 0.309497i
\(31\) −0.568290 −0.102068 −0.0510340 0.998697i \(-0.516252\pi\)
−0.0510340 + 0.998697i \(0.516252\pi\)
\(32\) −2.05637 5.26985i −0.363519 0.931587i
\(33\) −1.65412 + 0.377543i −0.287946 + 0.0657218i
\(34\) −0.418364 3.49051i −0.0717488 0.598618i
\(35\) −0.377383 + 3.74337i −0.0637893 + 0.632745i
\(36\) 0.0283536 + 1.99980i 0.00472560 + 0.333300i
\(37\) 2.14273 + 2.68690i 0.352263 + 0.441723i 0.926118 0.377233i \(-0.123124\pi\)
−0.573856 + 0.818956i \(0.694553\pi\)
\(38\) −5.69670 + 9.21053i −0.924126 + 1.49415i
\(39\) −1.28599 + 0.293518i −0.205923 + 0.0470005i
\(40\) −3.82379 1.24739i −0.604595 0.197230i
\(41\) 0.860244 + 0.196345i 0.134348 + 0.0306640i 0.289166 0.957279i \(-0.406622\pi\)
−0.154818 + 0.987943i \(0.549479\pi\)
\(42\) −2.27744 + 2.96872i −0.351416 + 0.458083i
\(43\) 3.14099 0.716910i 0.478996 0.109328i 0.0237959 0.999717i \(-0.492425\pi\)
0.455200 + 0.890389i \(0.349568\pi\)
\(44\) 2.07788 2.68274i 0.313252 0.404438i
\(45\) 1.11179 + 0.886622i 0.165736 + 0.132170i
\(46\) −10.6490 + 3.81118i −1.57010 + 0.561927i
\(47\) 5.38800 2.59473i 0.785921 0.378480i 0.00252046 0.999997i \(-0.499198\pi\)
0.783400 + 0.621517i \(0.213483\pi\)
\(48\) −2.58162 3.05536i −0.372625 0.441004i
\(49\) −6.78609 + 1.71724i −0.969442 + 0.245321i
\(50\) 3.54982 2.26576i 0.502021 0.320426i
\(51\) −1.07856 2.23965i −0.151029 0.313614i
\(52\) 1.61543 2.08567i 0.224020 0.289231i
\(53\) −3.41255 + 4.27920i −0.468749 + 0.587793i −0.958864 0.283865i \(-0.908383\pi\)
0.490115 + 0.871658i \(0.336955\pi\)
\(54\) 0.476536 + 1.33151i 0.0648483 + 0.181195i
\(55\) −0.536878 2.35222i −0.0723927 0.317173i
\(56\) −0.246840 7.47924i −0.0329854 0.999456i
\(57\) −1.70404 + 7.46588i −0.225705 + 0.988880i
\(58\) −11.3648 + 1.36215i −1.49227 + 0.178859i
\(59\) −2.27091 9.94952i −0.295648 1.29532i −0.876537 0.481335i \(-0.840152\pi\)
0.580889 0.813983i \(-0.302705\pi\)
\(60\) −2.84378 + 0.0403197i −0.367130 + 0.00520525i
\(61\) −0.303170 + 0.241770i −0.0388169 + 0.0309555i −0.642706 0.766113i \(-0.722188\pi\)
0.603889 + 0.797068i \(0.293617\pi\)
\(62\) 0.422751 0.683513i 0.0536895 0.0868062i
\(63\) −0.844495 + 2.50735i −0.106396 + 0.315897i
\(64\) 7.86806 + 1.44693i 0.983508 + 0.180867i
\(65\) −0.417392 1.82871i −0.0517711 0.226824i
\(66\) 0.776412 2.27036i 0.0955697 0.279462i
\(67\) 9.48014i 1.15818i −0.815263 0.579092i \(-0.803407\pi\)
0.815263 0.579092i \(-0.196593\pi\)
\(68\) 4.50944 + 2.09340i 0.546850 + 0.253862i
\(69\) −6.25283 + 4.98647i −0.752753 + 0.600300i
\(70\) −4.22161 3.23859i −0.504579 0.387085i
\(71\) 11.7253 + 9.35058i 1.39153 + 1.10971i 0.980152 + 0.198246i \(0.0635244\pi\)
0.411380 + 0.911464i \(0.365047\pi\)
\(72\) −2.42635 1.45355i −0.285949 0.171302i
\(73\) 1.03475 2.14868i 0.121108 0.251484i −0.831597 0.555380i \(-0.812573\pi\)
0.952705 + 0.303895i \(0.0982873\pi\)
\(74\) −4.82565 + 0.578390i −0.560970 + 0.0672365i
\(75\) 1.85664 2.32816i 0.214387 0.268833i
\(76\) −6.84022 13.7034i −0.784627 1.57189i
\(77\) 3.77264 2.43267i 0.429932 0.277228i
\(78\) 0.603616 1.76507i 0.0683460 0.199855i
\(79\) 17.1021i 1.92413i 0.272817 + 0.962066i \(0.412045\pi\)
−0.272817 + 0.962066i \(0.587955\pi\)
\(80\) 4.34482 3.67114i 0.485766 0.410446i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) −0.876090 + 0.888600i −0.0967480 + 0.0981294i
\(83\) 2.34188 + 1.12779i 0.257055 + 0.123791i 0.557974 0.829859i \(-0.311579\pi\)
−0.300919 + 0.953650i \(0.597293\pi\)
\(84\) −1.87644 4.94762i −0.204737 0.539830i
\(85\) 3.18486 1.53375i 0.345447 0.166358i
\(86\) −1.47432 + 4.31114i −0.158980 + 0.464882i
\(87\) −7.29209 + 3.51169i −0.781794 + 0.376492i
\(88\) 1.68093 + 4.49486i 0.179188 + 0.479154i
\(89\) −5.14003 + 10.6734i −0.544842 + 1.13138i 0.428823 + 0.903389i \(0.358929\pi\)
−0.973664 + 0.227987i \(0.926786\pi\)
\(90\) −1.89345 + 0.677649i −0.199587 + 0.0714304i
\(91\) 2.93301 1.89126i 0.307463 0.198258i
\(92\) 3.33787 15.6432i 0.347997 1.63092i
\(93\) 0.126457 0.554042i 0.0131129 0.0574515i
\(94\) −0.887323 + 8.41065i −0.0915204 + 0.867492i
\(95\) −10.6167 2.42320i −1.08925 0.248615i
\(96\) 5.59531 0.832163i 0.571069 0.0849323i
\(97\) 1.85665i 0.188514i 0.995548 + 0.0942571i \(0.0300476\pi\)
−0.995548 + 0.0942571i \(0.969952\pi\)
\(98\) 2.98275 9.43945i 0.301304 0.953528i
\(99\) 1.69666i 0.170521i
\(100\) 0.0844320 + 5.95505i 0.00844320 + 0.595505i
\(101\) 5.36275 + 1.22401i 0.533614 + 0.121794i 0.480833 0.876812i \(-0.340334\pi\)
0.0527808 + 0.998606i \(0.483192\pi\)
\(102\) 3.49609 + 0.368837i 0.346165 + 0.0365203i
\(103\) 2.64732 11.5987i 0.260848 1.14285i −0.659486 0.751717i \(-0.729226\pi\)
0.920334 0.391133i \(-0.127917\pi\)
\(104\) 1.30683 + 3.49450i 0.128145 + 0.342664i
\(105\) −3.56554 1.20090i −0.347961 0.117196i
\(106\) −2.60822 7.28774i −0.253333 0.707848i
\(107\) −0.867216 + 1.80079i −0.0838369 + 0.174089i −0.938673 0.344810i \(-0.887944\pi\)
0.854836 + 0.518899i \(0.173658\pi\)
\(108\) −1.95597 0.417354i −0.188213 0.0401600i
\(109\) 13.2211 6.36695i 1.26635 0.609844i 0.324506 0.945884i \(-0.394802\pi\)
0.941848 + 0.336040i \(0.109088\pi\)
\(110\) 3.22852 + 1.10408i 0.307827 + 0.105270i
\(111\) −3.09633 + 1.49112i −0.293891 + 0.141530i
\(112\) 9.17930 + 5.26692i 0.867362 + 0.497677i
\(113\) −6.52739 3.14343i −0.614046 0.295709i 0.100892 0.994897i \(-0.467830\pi\)
−0.714937 + 0.699189i \(0.753545\pi\)
\(114\) −7.71197 7.60340i −0.722292 0.712124i
\(115\) −7.09092 8.89173i −0.661231 0.829158i
\(116\) 6.81591 14.6823i 0.632841 1.36322i
\(117\) 1.31906i 0.121947i
\(118\) 13.6561 + 4.67010i 1.25715 + 0.429918i
\(119\) 4.70477 + 4.59571i 0.431286 + 0.421288i
\(120\) 2.06699 3.45035i 0.188690 0.314973i
\(121\) 5.06357 6.34951i 0.460324 0.577229i
\(122\) −0.0652613 0.544491i −0.00590848 0.0492959i
\(123\) −0.382845 + 0.794985i −0.0345200 + 0.0716814i
\(124\) 0.507612 + 1.01693i 0.0455849 + 0.0913230i
\(125\) 8.86966 + 7.07332i 0.793327 + 0.632657i
\(126\) −2.38751 2.88094i −0.212696 0.256654i
\(127\) −6.95401 + 5.54563i −0.617068 + 0.492095i −0.881422 0.472330i \(-0.843413\pi\)
0.264353 + 0.964426i \(0.414841\pi\)
\(128\) −7.59335 + 8.38695i −0.671164 + 0.741309i
\(129\) 3.22176i 0.283661i
\(130\) 2.50999 + 0.858361i 0.220141 + 0.0752832i
\(131\) −0.382231 1.67466i −0.0333956 0.146316i 0.955481 0.295051i \(-0.0953368\pi\)
−0.988877 + 0.148736i \(0.952480\pi\)
\(132\) 2.15310 + 2.62275i 0.187404 + 0.228281i
\(133\) −2.50441 20.1055i −0.217160 1.74337i
\(134\) 11.4023 + 7.05227i 0.985005 + 0.609224i
\(135\) −1.11179 + 0.886622i −0.0956876 + 0.0763083i
\(136\) −5.87242 + 3.86646i −0.503556 + 0.331546i
\(137\) −1.63330 7.15595i −0.139542 0.611374i −0.995536 0.0943873i \(-0.969911\pi\)
0.855993 0.516987i \(-0.172946\pi\)
\(138\) −1.34600 11.2300i −0.114579 0.955965i
\(139\) −1.58739 + 6.95481i −0.134641 + 0.589899i 0.861921 + 0.507043i \(0.169261\pi\)
−0.996561 + 0.0828565i \(0.973596\pi\)
\(140\) 7.03567 2.66836i 0.594623 0.225518i
\(141\) 1.33073 + 5.83029i 0.112067 + 0.490999i
\(142\) −19.9689 + 7.14668i −1.67575 + 0.599736i
\(143\) −1.39537 + 1.74974i −0.116687 + 0.146320i
\(144\) 3.55322 1.83701i 0.296102 0.153084i
\(145\) −4.99373 10.3696i −0.414707 0.861147i
\(146\) 1.81458 + 2.84295i 0.150176 + 0.235285i
\(147\) −0.164142 6.99808i −0.0135382 0.577192i
\(148\) 2.89414 6.23433i 0.237897 0.512458i
\(149\) 15.9373 7.67499i 1.30563 0.628759i 0.353784 0.935327i \(-0.384895\pi\)
0.951849 + 0.306568i \(0.0991806\pi\)
\(150\) 1.41904 + 3.96500i 0.115864 + 0.323741i
\(151\) 9.57613 + 7.63671i 0.779294 + 0.621466i 0.930188 0.367084i \(-0.119644\pi\)
−0.150894 + 0.988550i \(0.548215\pi\)
\(152\) 21.5703 + 1.96689i 1.74958 + 0.159536i
\(153\) 2.42350 0.553149i 0.195929 0.0447195i
\(154\) 0.119431 + 6.34721i 0.00962404 + 0.511473i
\(155\) 0.787866 + 0.179825i 0.0632829 + 0.0144439i
\(156\) 1.67391 + 2.03904i 0.134020 + 0.163254i
\(157\) −8.41676 + 1.92107i −0.671731 + 0.153318i −0.544765 0.838589i \(-0.683381\pi\)
−0.126966 + 0.991907i \(0.540524\pi\)
\(158\) −20.5695 12.7222i −1.63642 1.01213i
\(159\) −3.41255 4.27920i −0.270633 0.339363i
\(160\) 1.18336 + 7.95671i 0.0935530 + 0.629033i
\(161\) 11.0469 18.0473i 0.870616 1.42233i
\(162\) −1.40416 + 0.168299i −0.110322 + 0.0132229i
\(163\) 9.11997 2.08157i 0.714331 0.163041i 0.150115 0.988669i \(-0.452036\pi\)
0.564216 + 0.825627i \(0.309179\pi\)
\(164\) −0.417042 1.71475i −0.0325655 0.133899i
\(165\) 2.41271 0.187829
\(166\) −3.09858 + 1.97774i −0.240496 + 0.153502i
\(167\) −5.37750 6.74317i −0.416123 0.521802i 0.528954 0.848651i \(-0.322585\pi\)
−0.945077 + 0.326849i \(0.894013\pi\)
\(168\) 7.34665 + 1.42364i 0.566806 + 0.109836i
\(169\) 7.02055 8.80349i 0.540042 0.677191i
\(170\) −0.524498 + 4.97155i −0.0402272 + 0.381301i
\(171\) −6.89951 3.32263i −0.527619 0.254088i
\(172\) −4.08849 4.98029i −0.311744 0.379744i
\(173\) −15.7125 12.5303i −1.19460 0.952659i −0.194992 0.980805i \(-0.562468\pi\)
−0.999604 + 0.0281460i \(0.991040\pi\)
\(174\) 1.20090 11.3829i 0.0910398 0.862937i
\(175\) −2.51476 + 7.46647i −0.190098 + 0.564412i
\(176\) −6.65665 1.32198i −0.501764 0.0996482i
\(177\) 10.2054 0.767084
\(178\) −9.01376 14.1221i −0.675610 1.05850i
\(179\) −1.46121 + 1.16527i −0.109216 + 0.0870966i −0.676575 0.736374i \(-0.736537\pi\)
0.567359 + 0.823470i \(0.307965\pi\)
\(180\) 0.593491 2.78145i 0.0442362 0.207317i
\(181\) 9.98002 20.7237i 0.741809 1.54038i −0.0965889 0.995324i \(-0.530793\pi\)
0.838398 0.545058i \(-0.183492\pi\)
\(182\) 0.0928509 + 4.93459i 0.00688257 + 0.365776i
\(183\) −0.168247 0.349368i −0.0124372 0.0258260i
\(184\) 16.3319 + 15.6516i 1.20400 + 1.15385i
\(185\) −2.12041 4.40309i −0.155896 0.323721i
\(186\) 0.572305 + 0.564248i 0.0419634 + 0.0413727i
\(187\) −3.79994 1.82995i −0.277879 0.133820i
\(188\) −9.45585 7.32391i −0.689638 0.534151i
\(189\) −2.25657 1.38126i −0.164141 0.100472i
\(190\) 10.8123 10.9667i 0.784405 0.795606i
\(191\) −10.1773 2.32290i −0.736403 0.168079i −0.162160 0.986764i \(-0.551846\pi\)
−0.574243 + 0.818685i \(0.694703\pi\)
\(192\) −3.16146 + 7.34882i −0.228159 + 0.530355i
\(193\) −4.83158 + 21.1685i −0.347785 + 1.52375i 0.434412 + 0.900714i \(0.356956\pi\)
−0.782197 + 0.623031i \(0.785901\pi\)
\(194\) −2.23309 1.38116i −0.160326 0.0991616i
\(195\) 1.87574 0.134325
\(196\) 9.13445 + 10.6095i 0.652460 + 0.757823i
\(197\) −16.7464 −1.19313 −0.596567 0.802563i \(-0.703469\pi\)
−0.596567 + 0.802563i \(0.703469\pi\)
\(198\) 2.04067 + 1.26215i 0.145024 + 0.0896969i
\(199\) −4.96566 + 21.7560i −0.352007 + 1.54224i 0.420534 + 0.907277i \(0.361843\pi\)
−0.772541 + 0.634965i \(0.781015\pi\)
\(200\) −7.22526 4.32841i −0.510903 0.306065i
\(201\) 9.24245 + 2.10953i 0.651912 + 0.148795i
\(202\) −5.46153 + 5.53952i −0.384272 + 0.389759i
\(203\) 14.9632 15.3183i 1.05021 1.07513i
\(204\) −3.04436 + 3.93055i −0.213148 + 0.275194i
\(205\) −1.13049 0.544417i −0.0789572 0.0380238i
\(206\) 11.9810 + 11.8123i 0.834754 + 0.823002i
\(207\) −3.47006 7.20566i −0.241186 0.500828i
\(208\) −5.17517 1.02777i −0.358833 0.0712627i
\(209\) 5.63738 + 11.7061i 0.389946 + 0.809731i
\(210\) 4.09679 3.39511i 0.282705 0.234285i
\(211\) −0.129921 + 0.269783i −0.00894411 + 0.0185726i −0.905393 0.424574i \(-0.860424\pi\)
0.896449 + 0.443147i \(0.146138\pi\)
\(212\) 10.7056 + 2.28431i 0.735264 + 0.156887i
\(213\) −11.7253 + 9.35058i −0.803401 + 0.640691i
\(214\) −1.52078 2.38265i −0.103959 0.162875i
\(215\) −4.58145 −0.312452
\(216\) 1.95702 2.04208i 0.133158 0.138946i
\(217\) 0.185852 + 1.49202i 0.0126164 + 0.101285i
\(218\) −2.17732 + 20.6381i −0.147467 + 1.39779i
\(219\) 1.86456 + 1.48693i 0.125995 + 0.100478i
\(220\) −3.72963 + 3.06178i −0.251452 + 0.206425i
\(221\) −2.95424 1.42268i −0.198723 0.0957001i
\(222\) 0.509920 4.83337i 0.0342236 0.324394i
\(223\) 6.03154 7.56332i 0.403902 0.506477i −0.537732 0.843116i \(-0.680719\pi\)
0.941634 + 0.336639i \(0.109290\pi\)
\(224\) −13.1633 + 7.12236i −0.879509 + 0.475883i
\(225\) 1.85664 + 2.32816i 0.123776 + 0.155211i
\(226\) 8.63649 5.51244i 0.574491 0.366682i
\(227\) −27.4958 −1.82496 −0.912480 0.409121i \(-0.865835\pi\)
−0.912480 + 0.409121i \(0.865835\pi\)
\(228\) 14.8819 3.61942i 0.985581 0.239702i
\(229\) −11.0203 + 2.51531i −0.728242 + 0.166217i −0.570540 0.821270i \(-0.693266\pi\)
−0.157703 + 0.987487i \(0.550409\pi\)
\(230\) 15.9695 1.91406i 1.05300 0.126209i
\(231\) 1.53218 + 4.21937i 0.100810 + 0.277614i
\(232\) 12.5888 + 19.1200i 0.826495 + 1.25529i
\(233\) 4.73593 + 5.93866i 0.310261 + 0.389055i 0.912375 0.409355i \(-0.134246\pi\)
−0.602114 + 0.798410i \(0.705675\pi\)
\(234\) 1.58650 + 0.981247i 0.103713 + 0.0641461i
\(235\) −8.29086 + 1.89234i −0.540836 + 0.123442i
\(236\) −15.7758 + 12.9509i −1.02692 + 0.843030i
\(237\) −16.6733 3.80557i −1.08305 0.247198i
\(238\) −9.02738 + 2.23992i −0.585158 + 0.145193i
\(239\) −13.2894 + 3.03321i −0.859617 + 0.196202i −0.629538 0.776970i \(-0.716756\pi\)
−0.230079 + 0.973172i \(0.573899\pi\)
\(240\) 2.61229 + 5.05280i 0.168622 + 0.326157i
\(241\) −13.4427 10.7202i −0.865921 0.690549i 0.0861975 0.996278i \(-0.472528\pi\)
−0.952119 + 0.305729i \(0.901100\pi\)
\(242\) 3.87010 + 10.8136i 0.248780 + 0.695126i
\(243\) −0.900969 + 0.433884i −0.0577972 + 0.0278337i
\(244\) 0.703436 + 0.326554i 0.0450329 + 0.0209055i
\(245\) 9.95148 0.233415i 0.635777 0.0149123i
\(246\) −0.671372 1.05186i −0.0428051 0.0670639i
\(247\) 4.38274 + 9.10086i 0.278867 + 0.579074i
\(248\) −1.60073 0.145963i −0.101646 0.00926865i
\(249\) −1.62063 + 2.03221i −0.102703 + 0.128786i
\(250\) −15.1056 + 5.40616i −0.955361 + 0.341916i
\(251\) −0.598821 2.62360i −0.0377972 0.165600i 0.952507 0.304517i \(-0.0984951\pi\)
−0.990304 + 0.138917i \(0.955638\pi\)
\(252\) 5.24112 0.728449i 0.330160 0.0458880i
\(253\) −3.01947 + 13.2291i −0.189832 + 0.831710i
\(254\) −1.49694 12.4893i −0.0939264 0.783651i
\(255\) 0.786596 + 3.44630i 0.0492585 + 0.215816i
\(256\) −4.43873 15.3720i −0.277421 0.960748i
\(257\) −14.7566 + 11.7680i −0.920493 + 0.734069i −0.964256 0.264973i \(-0.914637\pi\)
0.0437629 + 0.999042i \(0.486065\pi\)
\(258\) −3.87498 2.39667i −0.241246 0.149210i
\(259\) 6.35360 6.50437i 0.394793 0.404162i
\(260\) −2.89958 + 2.38036i −0.179824 + 0.147624i
\(261\) −1.80100 7.89069i −0.111479 0.488421i
\(262\) 2.29854 + 0.786052i 0.142005 + 0.0485624i
\(263\) 10.5675i 0.651622i 0.945435 + 0.325811i \(0.105637\pi\)
−0.945435 + 0.325811i \(0.894363\pi\)
\(264\) −4.75621 + 0.638587i −0.292725 + 0.0393023i
\(265\) 6.08516 4.85275i 0.373808 0.298102i
\(266\) 26.0449 + 11.9443i 1.59692 + 0.732350i
\(267\) −9.26201 7.38620i −0.566826 0.452028i
\(268\) −16.9643 + 8.46790i −1.03626 + 0.517260i
\(269\) −6.04268 + 12.5478i −0.368429 + 0.765051i −0.999947 0.0103107i \(-0.996718\pi\)
0.631518 + 0.775361i \(0.282432\pi\)
\(270\) −0.239327 1.99677i −0.0145650 0.121519i
\(271\) 20.2776 25.4273i 1.23177 1.54460i 0.494167 0.869367i \(-0.335473\pi\)
0.737607 0.675230i \(-0.235956\pi\)
\(272\) −0.281900 9.93932i −0.0170927 0.602660i
\(273\) 1.19119 + 3.28032i 0.0720938 + 0.198534i
\(274\) 9.82184 + 3.35886i 0.593359 + 0.202916i
\(275\) 5.05237i 0.304669i
\(276\) 14.5083 + 6.73512i 0.873294 + 0.405406i
\(277\) 13.9750 + 17.5241i 0.839677 + 1.05292i 0.997852 + 0.0655109i \(0.0208677\pi\)
−0.158175 + 0.987411i \(0.550561\pi\)
\(278\) −7.18406 7.08292i −0.430871 0.424805i
\(279\) 0.512012 + 0.246572i 0.0306534 + 0.0147619i
\(280\) −2.02446 + 10.4472i −0.120984 + 0.624338i
\(281\) −7.95677 + 3.83178i −0.474661 + 0.228585i −0.655890 0.754856i \(-0.727707\pi\)
0.181229 + 0.983441i \(0.441992\pi\)
\(282\) −8.00233 2.73662i −0.476532 0.162963i
\(283\) 11.6399 5.60548i 0.691921 0.333211i −0.0546612 0.998505i \(-0.517408\pi\)
0.746582 + 0.665294i \(0.231694\pi\)
\(284\) 6.25913 29.3340i 0.371411 1.74065i
\(285\) 4.72488 9.81132i 0.279878 0.581173i
\(286\) −1.06649 2.97991i −0.0630626 0.176206i
\(287\) 0.234165 2.32275i 0.0138223 0.137108i
\(288\) −0.433775 + 5.64020i −0.0255604 + 0.332352i
\(289\) −2.40782 + 10.5494i −0.141637 + 0.620550i
\(290\) 16.1869 + 1.70771i 0.950526 + 0.100280i
\(291\) −1.81010 0.413143i −0.106110 0.0242189i
\(292\) −4.76924 + 0.0676193i −0.279098 + 0.00395712i
\(293\) 20.3547i 1.18913i 0.804047 + 0.594566i \(0.202676\pi\)
−0.804047 + 0.594566i \(0.797324\pi\)
\(294\) 8.53906 + 5.00845i 0.498008 + 0.292098i
\(295\) 14.5124i 0.844944i
\(296\) 5.34540 + 8.11865i 0.310695 + 0.471887i
\(297\) 1.65412 + 0.377543i 0.0959820 + 0.0219073i
\(298\) −2.62463 + 24.8780i −0.152041 + 1.44114i
\(299\) −2.34746 + 10.2849i −0.135757 + 0.594791i
\(300\) −5.82454 1.24281i −0.336280 0.0717536i
\(301\) −2.90944 8.01209i −0.167697 0.461809i
\(302\) −16.3087 + 5.83676i −0.938463 + 0.335868i
\(303\) −2.38665 + 4.95593i −0.137109 + 0.284711i
\(304\) −18.4118 + 24.4805i −1.05599 + 1.40405i
\(305\) 0.496812 0.239252i 0.0284474 0.0136995i
\(306\) −1.13754 + 3.32636i −0.0650290 + 0.190156i
\(307\) 5.64999 2.72089i 0.322462 0.155290i −0.265649 0.964070i \(-0.585586\pi\)
0.588111 + 0.808780i \(0.299872\pi\)
\(308\) −7.72297 4.57804i −0.440057 0.260858i
\(309\) 10.7188 + 5.16189i 0.609770 + 0.293650i
\(310\) −0.802378 + 0.813835i −0.0455720 + 0.0462227i
\(311\) −11.9476 14.9819i −0.677489 0.849544i 0.317631 0.948214i \(-0.397113\pi\)
−0.995120 + 0.0986701i \(0.968541\pi\)
\(312\) −3.69768 + 0.496465i −0.209340 + 0.0281068i
\(313\) 21.0129i 1.18772i −0.804568 0.593860i \(-0.797603\pi\)
0.804568 0.593860i \(-0.202397\pi\)
\(314\) 3.95066 11.5524i 0.222948 0.651938i
\(315\) 1.96420 3.20892i 0.110670 0.180802i
\(316\) 30.6034 15.2760i 1.72157 0.859342i
\(317\) −2.88704 + 3.62023i −0.162152 + 0.203333i −0.856269 0.516530i \(-0.827224\pi\)
0.694117 + 0.719862i \(0.255795\pi\)
\(318\) 7.68541 0.921153i 0.430976 0.0516557i
\(319\) −5.95815 + 12.3722i −0.333592 + 0.692712i
\(320\) −10.4503 4.49570i −0.584187 0.251317i
\(321\) −1.56267 1.24619i −0.0872196 0.0695553i
\(322\) 13.4887 + 26.7121i 0.751696 + 1.48860i
\(323\) −14.8831 + 11.8689i −0.828117 + 0.660401i
\(324\) 0.842135 1.81406i 0.0467853 0.100781i
\(325\) 3.92793i 0.217882i
\(326\) −4.28072 + 12.5175i −0.237087 + 0.693282i
\(327\) 3.26535 + 14.3064i 0.180574 + 0.791147i
\(328\) 2.37266 + 0.774003i 0.131008 + 0.0427372i
\(329\) −8.57443 13.2974i −0.472723 0.733111i
\(330\) −1.79481 + 2.90189i −0.0988013 + 0.159744i
\(331\) −10.5148 + 8.38531i −0.577948 + 0.460898i −0.868312 0.496018i \(-0.834795\pi\)
0.290364 + 0.956916i \(0.406224\pi\)
\(332\) −0.0736992 5.19806i −0.00404477 0.285281i
\(333\) −0.764732 3.35051i −0.0419070 0.183607i
\(334\) 12.1107 1.45155i 0.662667 0.0794255i
\(335\) −2.99982 + 13.1431i −0.163898 + 0.718082i
\(336\) −7.17745 + 7.77716i −0.391562 + 0.424279i
\(337\) −3.73331 16.3567i −0.203366 0.891005i −0.968869 0.247573i \(-0.920367\pi\)
0.765503 0.643432i \(-0.222490\pi\)
\(338\) 5.36583 + 14.9929i 0.291863 + 0.815506i
\(339\) 4.51710 5.66426i 0.245335 0.307640i
\(340\) −5.58937 4.32918i −0.303126 0.234783i
\(341\) −0.418350 0.868712i −0.0226549 0.0470434i
\(342\) 9.12885 5.82670i 0.493631 0.315072i
\(343\) 6.72786 + 17.2550i 0.363270 + 0.931684i
\(344\) 9.03149 1.21260i 0.486945 0.0653791i
\(345\) 10.2467 4.93454i 0.551662 0.265667i
\(346\) 26.7593 9.57693i 1.43859 0.514859i
\(347\) −5.59985 4.46573i −0.300616 0.239733i 0.461551 0.887114i \(-0.347293\pi\)
−0.762167 + 0.647381i \(0.775864\pi\)
\(348\) 12.7975 + 9.91214i 0.686017 + 0.531346i
\(349\) 4.00327 0.913720i 0.214290 0.0489103i −0.114028 0.993478i \(-0.536375\pi\)
0.328318 + 0.944567i \(0.393518\pi\)
\(350\) −7.10958 8.57894i −0.380023 0.458563i
\(351\) 1.28599 + 0.293518i 0.0686409 + 0.0156668i
\(352\) 6.54190 7.02288i 0.348684 0.374321i
\(353\) −10.4353 + 2.38180i −0.555418 + 0.126770i −0.491011 0.871153i \(-0.663373\pi\)
−0.0644065 + 0.997924i \(0.520515\pi\)
\(354\) −7.59179 + 12.2746i −0.403499 + 0.652385i
\(355\) −13.2968 16.6737i −0.705722 0.884948i
\(356\) 23.6907 0.335892i 1.25561 0.0178022i
\(357\) −5.52740 + 3.56417i −0.292541 + 0.188636i
\(358\) −0.314544 2.62432i −0.0166242 0.138699i
\(359\) 12.0515 2.75068i 0.636054 0.145175i 0.107678 0.994186i \(-0.465658\pi\)
0.528376 + 0.849011i \(0.322801\pi\)
\(360\) 2.90390 + 2.78294i 0.153049 + 0.146674i
\(361\) 39.6431 2.08648
\(362\) 17.5014 + 27.4199i 0.919852 + 1.44116i
\(363\) 5.06357 + 6.34951i 0.265768 + 0.333263i
\(364\) −6.00416 3.55917i −0.314704 0.186551i
\(365\) −2.11447 + 2.65146i −0.110676 + 0.138784i
\(366\) 0.545362 + 0.0575356i 0.0285065 + 0.00300743i
\(367\) 5.18409 + 2.49653i 0.270607 + 0.130318i 0.564267 0.825592i \(-0.309159\pi\)
−0.293660 + 0.955910i \(0.594873\pi\)
\(368\) −30.9743 + 7.99996i −1.61465 + 0.417027i
\(369\) −0.689862 0.550147i −0.0359128 0.0286395i
\(370\) 6.87320 + 0.725122i 0.357321 + 0.0376973i
\(371\) 12.3509 + 7.56005i 0.641227 + 0.392498i
\(372\) −1.10439 + 0.268597i −0.0572598 + 0.0139261i
\(373\) −0.499602 −0.0258684 −0.0129342 0.999916i \(-0.504117\pi\)
−0.0129342 + 0.999916i \(0.504117\pi\)
\(374\) 5.02776 3.20908i 0.259979 0.165938i
\(375\) −8.86966 + 7.07332i −0.458027 + 0.365265i
\(376\) 15.8431 5.92479i 0.817043 0.305547i
\(377\) −4.63212 + 9.61869i −0.238566 + 0.495388i
\(378\) 3.33998 1.68658i 0.171790 0.0867482i
\(379\) 4.28373 + 8.89526i 0.220041 + 0.456919i 0.981543 0.191244i \(-0.0612520\pi\)
−0.761502 + 0.648163i \(0.775538\pi\)
\(380\) 5.14693 + 21.1626i 0.264032 + 1.08562i
\(381\) −3.85918 8.01367i −0.197712 0.410553i
\(382\) 10.3648 10.5128i 0.530307 0.537879i
\(383\) −31.8187 15.3231i −1.62586 0.782974i −0.999995 0.00304290i \(-0.999031\pi\)
−0.625866 0.779931i \(-0.715254\pi\)
\(384\) −6.48700 9.26924i −0.331038 0.473019i
\(385\) −6.00008 + 2.17881i −0.305792 + 0.111043i
\(386\) −21.8663 21.5585i −1.11297 1.09730i
\(387\) −3.14099 0.716910i −0.159665 0.0364426i
\(388\) 3.32239 1.65841i 0.168669 0.0841929i
\(389\) 6.02519 26.3981i 0.305489 1.33844i −0.556220 0.831035i \(-0.687749\pi\)
0.861710 0.507401i \(-0.169394\pi\)
\(390\) −1.39536 + 2.25605i −0.0706570 + 0.114240i
\(391\) −19.8809 −1.00542
\(392\) −19.5557 + 3.09406i −0.987714 + 0.156273i
\(393\) 1.71773 0.0866480
\(394\) 12.4577 20.1418i 0.627609 1.01473i
\(395\) 5.41164 23.7099i 0.272289 1.19298i
\(396\) −3.03610 + 1.51550i −0.152570 + 0.0761569i
\(397\) −8.15913 1.86227i −0.409495 0.0934646i 0.0128109 0.999918i \(-0.495922\pi\)
−0.422306 + 0.906453i \(0.638779\pi\)
\(398\) −22.4731 22.1567i −1.12648 1.11062i
\(399\) 20.1587 + 2.03227i 1.00920 + 0.101741i
\(400\) 10.5809 5.47030i 0.529044 0.273515i
\(401\) 9.54743 + 4.59780i 0.476776 + 0.229603i 0.656808 0.754057i \(-0.271906\pi\)
−0.180032 + 0.983661i \(0.557620\pi\)
\(402\) −9.41270 + 9.54710i −0.469463 + 0.476166i
\(403\) −0.325243 0.675374i −0.0162015 0.0336428i
\(404\) −2.59983 10.6897i −0.129347 0.531833i
\(405\) −0.616996 1.28121i −0.0306588 0.0636637i
\(406\) 7.29296 + 29.3922i 0.361944 + 1.45871i
\(407\) −2.52992 + 5.25344i −0.125404 + 0.260403i
\(408\) −2.46278 6.58555i −0.121926 0.326033i
\(409\) −27.7882 + 22.1603i −1.37404 + 1.09576i −0.389414 + 0.921063i \(0.627323\pi\)
−0.984623 + 0.174695i \(0.944106\pi\)
\(410\) 1.49577 0.954713i 0.0738710 0.0471499i
\(411\) 7.33998 0.362054
\(412\) −23.1199 + 5.62297i −1.13904 + 0.277024i
\(413\) −25.3794 + 9.21605i −1.24884 + 0.453492i
\(414\) 11.2480 + 1.18666i 0.552809 + 0.0583213i
\(415\) −2.88986 2.30459i −0.141858 0.113128i
\(416\) 5.08595 5.45989i 0.249359 0.267693i
\(417\) −6.42721 3.09518i −0.314742 0.151572i
\(418\) −18.2732 1.92783i −0.893774 0.0942931i
\(419\) 12.9174 16.1979i 0.631055 0.791319i −0.358797 0.933416i \(-0.616813\pi\)
0.989853 + 0.142097i \(0.0453845\pi\)
\(420\) 1.03588 + 7.45304i 0.0505456 + 0.363671i
\(421\) 7.66711 + 9.61425i 0.373672 + 0.468570i 0.932739 0.360553i \(-0.117412\pi\)
−0.559067 + 0.829123i \(0.688841\pi\)
\(422\) −0.227834 0.356954i −0.0110908 0.0173762i
\(423\) −5.98023 −0.290769
\(424\) −10.7114 + 11.1769i −0.520189 + 0.542798i
\(425\) 7.21677 1.64718i 0.350065 0.0799000i
\(426\) −2.52401 21.0585i −0.122289 1.02029i
\(427\) 0.733906 + 0.716893i 0.0355162 + 0.0346929i
\(428\) 3.99705 0.0566711i 0.193205 0.00273930i
\(429\) −1.39537 1.74974i −0.0673690 0.0844781i
\(430\) 3.40814 5.51035i 0.164355 0.265733i
\(431\) −15.0667 + 3.43887i −0.725735 + 0.165644i −0.569401 0.822060i \(-0.692825\pi\)
−0.156334 + 0.987704i \(0.549968\pi\)
\(432\) 1.00029 + 3.87291i 0.0481263 + 0.186335i
\(433\) 9.57062 + 2.18443i 0.459935 + 0.104977i 0.446209 0.894929i \(-0.352774\pi\)
0.0137255 + 0.999906i \(0.495631\pi\)
\(434\) −1.93279 0.886383i −0.0927769 0.0425478i
\(435\) 11.2208 2.56108i 0.537997 0.122794i
\(436\) −23.2028 17.9715i −1.11121 0.860677i
\(437\) 47.8835 + 38.1858i 2.29058 + 1.82667i
\(438\) −3.17546 + 1.13647i −0.151729 + 0.0543026i
\(439\) 9.73240 4.68688i 0.464502 0.223692i −0.186969 0.982366i \(-0.559866\pi\)
0.651471 + 0.758673i \(0.274152\pi\)
\(440\) −0.908091 6.76348i −0.0432915 0.322436i
\(441\) 6.85914 + 1.39719i 0.326626 + 0.0665329i
\(442\) 3.90879 2.49488i 0.185922 0.118669i
\(443\) 1.02917 + 2.13710i 0.0488974 + 0.101536i 0.923986 0.382426i \(-0.124911\pi\)
−0.875089 + 0.483963i \(0.839197\pi\)
\(444\) 5.43401 + 4.20885i 0.257887 + 0.199743i
\(445\) 10.5034 13.1709i 0.497910 0.624359i
\(446\) 4.60993 + 12.8808i 0.218287 + 0.609924i
\(447\) 3.93618 + 17.2455i 0.186175 + 0.815686i
\(448\) 1.22572 21.1305i 0.0579100 0.998322i
\(449\) −8.71287 + 38.1736i −0.411186 + 1.80152i 0.167387 + 0.985891i \(0.446467\pi\)
−0.578573 + 0.815631i \(0.696390\pi\)
\(450\) −4.18135 + 0.501166i −0.197111 + 0.0236252i
\(451\) 0.333132 + 1.45955i 0.0156866 + 0.0687273i
\(452\) 0.205418 + 14.4883i 0.00966204 + 0.681471i
\(453\) −9.57613 + 7.63671i −0.449926 + 0.358804i
\(454\) 20.4541 33.0706i 0.959959 1.55208i
\(455\) −4.66472 + 1.69390i −0.218685 + 0.0794114i
\(456\) −6.71741 + 20.5918i −0.314572 + 0.964298i
\(457\) −6.14990 26.9445i −0.287680 1.26041i −0.887699 0.460423i \(-0.847698\pi\)
0.600019 0.799986i \(-0.295160\pi\)
\(458\) 5.17270 15.1258i 0.241705 0.706784i
\(459\) 2.48583i 0.116029i
\(460\) −9.57755 + 20.6312i −0.446556 + 0.961934i
\(461\) 24.1769 19.2804i 1.12603 0.897978i 0.130408 0.991460i \(-0.458371\pi\)
0.995621 + 0.0934821i \(0.0297998\pi\)
\(462\) −6.21465 1.29595i −0.289132 0.0602931i
\(463\) −31.3237 24.9799i −1.45574 1.16091i −0.955487 0.295032i \(-0.904670\pi\)
−0.500251 0.865881i \(-0.666759\pi\)
\(464\) −32.3614 + 0.917839i −1.50234 + 0.0426096i
\(465\) −0.350633 + 0.728097i −0.0162602 + 0.0337647i
\(466\) −10.6658 + 1.27837i −0.494083 + 0.0592196i
\(467\) 6.83058 8.56528i 0.316082 0.396354i −0.598257 0.801304i \(-0.704140\pi\)
0.914339 + 0.404951i \(0.132711\pi\)
\(468\) −2.36039 + 1.17822i −0.109109 + 0.0544631i
\(469\) −24.8897 + 3.10035i −1.14930 + 0.143161i
\(470\) 3.89156 11.3796i 0.179504 0.524900i
\(471\) 8.63322i 0.397798i
\(472\) −3.84109 28.6085i −0.176800 1.31681i
\(473\) 3.40815 + 4.27369i 0.156707 + 0.196504i
\(474\) 16.9804 17.2229i 0.779936 0.791072i
\(475\) −20.5455 9.89421i −0.942694 0.453978i
\(476\) 4.02140 12.5240i 0.184320 0.574036i
\(477\) 4.93127 2.37478i 0.225787 0.108734i
\(478\) 6.23775 18.2402i 0.285308 0.834287i
\(479\) 19.4023 9.34365i 0.886513 0.426922i 0.0655140 0.997852i \(-0.479131\pi\)
0.820999 + 0.570929i \(0.193417\pi\)
\(480\) −8.02054 0.616841i −0.366086 0.0281548i
\(481\) −1.96687 + 4.08425i −0.0896815 + 0.186226i
\(482\) 22.8938 8.19349i 1.04278 0.373203i
\(483\) 15.1367 + 14.7858i 0.688743 + 0.672778i
\(484\) −15.8851 3.38947i −0.722049 0.154067i
\(485\) 0.587503 2.57402i 0.0266771 0.116880i
\(486\) 0.148376 1.40641i 0.00673047 0.0637960i
\(487\) 21.3137 + 4.86470i 0.965814 + 0.220441i 0.676212 0.736707i \(-0.263620\pi\)
0.289601 + 0.957147i \(0.406477\pi\)
\(488\) −0.916049 + 0.603136i −0.0414676 + 0.0273027i
\(489\) 9.35450i 0.423025i
\(490\) −7.12217 + 12.1428i −0.321747 + 0.548556i
\(491\) 12.1999i 0.550572i −0.961362 0.275286i \(-0.911228\pi\)
0.961362 0.275286i \(-0.0887725\pi\)
\(492\) 1.76456 0.0250183i 0.0795524 0.00112791i
\(493\) −19.6149 4.47697i −0.883411 0.201633i
\(494\) −14.2064 1.49877i −0.639176 0.0674330i
\(495\) −0.536878 + 2.35222i −0.0241309 + 0.105724i
\(496\) 1.36634 1.81670i 0.0613504 0.0815721i
\(497\) 20.7150 33.8422i 0.929195 1.51803i
\(498\) −1.23866 3.46098i −0.0555055 0.155090i
\(499\) 9.56253 19.8568i 0.428078 0.888913i −0.569673 0.821872i \(-0.692930\pi\)
0.997750 0.0670407i \(-0.0213558\pi\)
\(500\) 4.73477 22.1899i 0.211745 0.992364i
\(501\) 7.77071 3.74217i 0.347170 0.167188i
\(502\) 3.60101 + 1.23147i 0.160721 + 0.0549630i
\(503\) −4.16353 + 2.00505i −0.185643 + 0.0894008i −0.524396 0.851474i \(-0.675709\pi\)
0.338754 + 0.940875i \(0.389995\pi\)
\(504\) −3.02273 + 6.84566i −0.134643 + 0.304930i
\(505\) −7.04749 3.39389i −0.313609 0.151026i
\(506\) −13.6652 13.4728i −0.607493 0.598941i
\(507\) 7.02055 + 8.80349i 0.311793 + 0.390977i
\(508\) 16.1352 + 7.49037i 0.715882 + 0.332332i
\(509\) 9.07885i 0.402413i −0.979549 0.201206i \(-0.935514\pi\)
0.979549 0.201206i \(-0.0644862\pi\)
\(510\) −4.73019 1.61762i −0.209456 0.0716295i
\(511\) −5.97969 2.01400i −0.264526 0.0890941i
\(512\) 21.7907 + 6.09651i 0.963020 + 0.269430i
\(513\) 4.77461 5.98717i 0.210804 0.264340i
\(514\) −3.17656 26.5028i −0.140112 1.16899i
\(515\) −7.34037 + 15.2424i −0.323455 + 0.671662i
\(516\) 5.76520 2.87776i 0.253799 0.126686i
\(517\) 7.93281 + 6.32620i 0.348884 + 0.278226i
\(518\) 3.09671 + 12.4804i 0.136061 + 0.548357i
\(519\) 15.7125 12.5303i 0.689700 0.550018i
\(520\) −0.705989 5.25822i −0.0309596 0.230588i
\(521\) 41.3292i 1.81067i −0.424701 0.905334i \(-0.639621\pi\)
0.424701 0.905334i \(-0.360379\pi\)
\(522\) 10.8303 + 3.70373i 0.474030 + 0.162108i
\(523\) 2.77781 + 12.1704i 0.121465 + 0.532174i 0.998646 + 0.0520144i \(0.0165642\pi\)
−0.877181 + 0.480160i \(0.840579\pi\)
\(524\) −2.65531 + 2.17984i −0.115998 + 0.0952266i
\(525\) −6.71968 4.11315i −0.293271 0.179513i
\(526\) −12.7101 7.86119i −0.554188 0.342764i
\(527\) 1.10447 0.880787i 0.0481116 0.0383677i
\(528\) 2.77008 6.19559i 0.120552 0.269628i
\(529\) 9.11508 + 39.9358i 0.396308 + 1.73634i
\(530\) 1.30991 + 10.9289i 0.0568988 + 0.474721i
\(531\) −2.27091 + 9.94952i −0.0985492 + 0.431772i
\(532\) −33.7408 + 22.4403i −1.46285 + 0.972908i
\(533\) 0.258991 + 1.13471i 0.0112181 + 0.0491499i
\(534\) 15.7738 5.64530i 0.682598 0.244296i
\(535\) 1.77212 2.22216i 0.0766153 0.0960725i
\(536\) 2.43493 26.7031i 0.105173 1.15340i
\(537\) −0.810909 1.68387i −0.0349933 0.0726643i
\(538\) −10.5967 16.6021i −0.456856 0.715769i
\(539\) −7.62066 9.10934i −0.328245 0.392367i
\(540\) 2.57965 + 1.19754i 0.111010 + 0.0515340i
\(541\) 9.32883 4.49253i 0.401078 0.193149i −0.222461 0.974942i \(-0.571409\pi\)
0.623538 + 0.781793i \(0.285695\pi\)
\(542\) 15.4982 + 43.3042i 0.665706 + 1.86008i
\(543\) 17.9834 + 14.3413i 0.771741 + 0.615443i
\(544\) 12.1642 + 7.05480i 0.521538 + 0.302472i
\(545\) −20.3442 + 4.64343i −0.871449 + 0.198903i
\(546\) −4.83153 1.00753i −0.206770 0.0431182i
\(547\) −2.91929 0.666309i −0.124820 0.0284893i 0.159655 0.987173i \(-0.448962\pi\)
−0.284474 + 0.958684i \(0.591819\pi\)
\(548\) −11.3463 + 9.31459i −0.484692 + 0.397900i
\(549\) 0.378047 0.0862867i 0.0161346 0.00368263i
\(550\) 6.07675 + 3.75846i 0.259113 + 0.160261i
\(551\) 38.6438 + 48.4578i 1.64628 + 2.06437i
\(552\) −18.8934 + 12.4396i −0.804155 + 0.529464i
\(553\) 44.9008 5.59300i 1.90938 0.237839i
\(554\) −31.4732 + 3.77229i −1.33717 + 0.160269i
\(555\) 4.76453 1.08747i 0.202243 0.0461606i
\(556\) 13.8632 3.37166i 0.587931 0.142990i
\(557\) 4.40297 0.186560 0.0932799 0.995640i \(-0.470265\pi\)
0.0932799 + 0.995640i \(0.470265\pi\)
\(558\) −0.677451 + 0.432399i −0.0286788 + 0.0183049i
\(559\) 2.64964 + 3.32255i 0.112068 + 0.140529i
\(560\) −11.0594 10.2066i −0.467343 0.431306i
\(561\) 2.62964 3.29746i 0.111023 0.139219i
\(562\) 1.31036 12.4205i 0.0552742 0.523926i
\(563\) 25.8010 + 12.4251i 1.08738 + 0.523656i 0.889670 0.456603i \(-0.150934\pi\)
0.197714 + 0.980260i \(0.436648\pi\)
\(564\) 9.24441 7.58905i 0.389260 0.319556i
\(565\) 8.05476 + 6.42345i 0.338866 + 0.270237i
\(566\) −1.91692 + 18.1698i −0.0805740 + 0.763736i
\(567\) 1.84876 1.89264i 0.0776408 0.0794832i
\(568\) 30.6254 + 29.3497i 1.28501 + 1.23149i
\(569\) −11.6071 −0.486596 −0.243298 0.969952i \(-0.578229\pi\)
−0.243298 + 0.969952i \(0.578229\pi\)
\(570\) 8.28575 + 12.9815i 0.347052 + 0.543736i
\(571\) 26.5225 21.1510i 1.10993 0.885141i 0.115796 0.993273i \(-0.463058\pi\)
0.994137 + 0.108132i \(0.0344868\pi\)
\(572\) 4.37746 + 0.934038i 0.183031 + 0.0390541i
\(573\) 4.52932 9.40523i 0.189215 0.392909i
\(574\) 2.61950 + 2.00954i 0.109336 + 0.0838764i
\(575\) −10.3332 21.4572i −0.430926 0.894827i
\(576\) −6.46108 4.71747i −0.269212 0.196561i
\(577\) 7.65840 + 15.9028i 0.318823 + 0.662044i 0.997367 0.0725163i \(-0.0231029\pi\)
−0.678544 + 0.734560i \(0.737389\pi\)
\(578\) −10.8971 10.7437i −0.453259 0.446878i
\(579\) −19.5627 9.42089i −0.812997 0.391519i
\(580\) −14.0954 + 18.1984i −0.585279 + 0.755649i
\(581\) 2.19509 6.51735i 0.0910676 0.270385i
\(582\) 1.84344 1.86976i 0.0764131 0.0775042i
\(583\) −9.05352 2.06641i −0.374958 0.0855818i
\(584\) 3.46651 5.78651i 0.143445 0.239448i
\(585\) −0.417392 + 1.82871i −0.0172570 + 0.0756080i
\(586\) −24.4816 15.1418i −1.01133 0.625503i
\(587\) 25.9925 1.07282 0.536412 0.843956i \(-0.319779\pi\)
0.536412 + 0.843956i \(0.319779\pi\)
\(588\) −12.3761 + 6.54459i −0.510383 + 0.269894i
\(589\) −4.35190 −0.179317
\(590\) −17.4548 10.7958i −0.718603 0.444455i
\(591\) 3.72643 16.3266i 0.153285 0.671586i
\(592\) −13.7412 + 0.389729i −0.564758 + 0.0160178i
\(593\) −26.4267 6.03173i −1.08522 0.247694i −0.357737 0.933823i \(-0.616451\pi\)
−0.727480 + 0.686129i \(0.759309\pi\)
\(594\) −1.68459 + 1.70865i −0.0691197 + 0.0701067i
\(595\) −5.06836 7.86014i −0.207783 0.322234i
\(596\) −27.9696 21.6635i −1.14568 0.887373i
\(597\) −20.1056 9.68233i −0.822866 0.396271i
\(598\) −10.6239 10.4744i −0.434444 0.428328i
\(599\) 11.1590 + 23.1720i 0.455946 + 0.946781i 0.994554 + 0.104224i \(0.0332360\pi\)
−0.538608 + 0.842556i \(0.681050\pi\)
\(600\) 5.82766 6.08095i 0.237913 0.248254i
\(601\) 15.9723 + 33.1669i 0.651526 + 1.35291i 0.920873 + 0.389864i \(0.127478\pi\)
−0.269347 + 0.963043i \(0.586808\pi\)
\(602\) 11.8009 + 2.46086i 0.480968 + 0.100297i
\(603\) −4.11328 + 8.54131i −0.167506 + 0.347829i
\(604\) 5.11189 23.9573i 0.208000 0.974811i
\(605\) −9.02921 + 7.20056i −0.367090 + 0.292744i
\(606\) −4.18533 6.55726i −0.170017 0.266371i
\(607\) −40.4498 −1.64181 −0.820904 0.571066i \(-0.806530\pi\)
−0.820904 + 0.571066i \(0.806530\pi\)
\(608\) −15.7475 40.3559i −0.638644 1.63665i
\(609\) 11.6046 + 17.9967i 0.470241 + 0.729261i
\(610\) −0.0818175 + 0.775522i −0.00331269 + 0.0313999i
\(611\) 6.16730 + 4.91826i 0.249502 + 0.198971i
\(612\) −3.15457 3.84266i −0.127516 0.155330i
\(613\) −26.7823 12.8977i −1.08173 0.520932i −0.193859 0.981029i \(-0.562100\pi\)
−0.887869 + 0.460097i \(0.847815\pi\)
\(614\) −0.930469 + 8.81962i −0.0375507 + 0.355931i
\(615\) 0.782326 0.981006i 0.0315464 0.0395580i
\(616\) 11.2514 5.88321i 0.453330 0.237041i
\(617\) −18.3080 22.9574i −0.737050 0.924232i 0.262117 0.965036i \(-0.415579\pi\)
−0.999167 + 0.0408041i \(0.987008\pi\)
\(618\) −14.1822 + 9.05210i −0.570490 + 0.364129i
\(619\) 42.9810 1.72755 0.863777 0.503875i \(-0.168093\pi\)
0.863777 + 0.503875i \(0.168093\pi\)
\(620\) −0.381953 1.57047i −0.0153396 0.0630718i
\(621\) 7.79716 1.77965i 0.312889 0.0714149i
\(622\) 26.9073 3.22504i 1.07889 0.129312i
\(623\) 29.7035 + 10.0044i 1.19005 + 0.400816i
\(624\) 2.15358 4.81671i 0.0862122 0.192823i
\(625\) −0.775262 0.972148i −0.0310105 0.0388859i
\(626\) 25.2733 + 15.6315i 1.01013 + 0.624761i
\(627\) −12.6671 + 2.89118i −0.505875 + 0.115463i
\(628\) 10.9557 + 13.3455i 0.437182 + 0.532542i
\(629\) −8.32879 1.90099i −0.332091 0.0757975i
\(630\) 2.39837 + 4.74956i 0.0955532 + 0.189227i
\(631\) −14.1708 + 3.23440i −0.564132 + 0.128759i −0.495070 0.868853i \(-0.664858\pi\)
−0.0690617 + 0.997612i \(0.522001\pi\)
\(632\) −4.39259 + 48.1721i −0.174728 + 1.91618i
\(633\) −0.234109 0.186696i −0.00930500 0.00742049i
\(634\) −2.20658 6.16549i −0.0876343 0.244863i
\(635\) 11.3957 5.48788i 0.452224 0.217780i
\(636\) −4.60926 + 9.92889i −0.182769 + 0.393706i
\(637\) −5.92463 7.08199i −0.234742 0.280599i
\(638\) −10.4485 16.3699i −0.413658 0.648090i
\(639\) −6.50703 13.5120i −0.257414 0.534526i
\(640\) 13.1812 9.22471i 0.521031 0.364639i
\(641\) 4.12633 5.17426i 0.162980 0.204371i −0.693635 0.720327i \(-0.743992\pi\)
0.856615 + 0.515956i \(0.172563\pi\)
\(642\) 2.66132 0.952465i 0.105034 0.0375908i
\(643\) −8.83827 38.7230i −0.348547 1.52709i −0.780481 0.625180i \(-0.785026\pi\)
0.431934 0.901905i \(-0.357831\pi\)
\(644\) −42.1622 3.64753i −1.66142 0.143733i
\(645\) 1.01947 4.46658i 0.0401415 0.175872i
\(646\) −3.20378 26.7299i −0.126051 1.05167i
\(647\) −1.24669 5.46209i −0.0490123 0.214737i 0.944492 0.328536i \(-0.106555\pi\)
−0.993504 + 0.113799i \(0.963698\pi\)
\(648\) 1.55540 + 2.36236i 0.0611019 + 0.0928022i
\(649\) 13.5375 10.7958i 0.531393 0.423772i
\(650\) 4.72432 + 2.92198i 0.185303 + 0.114610i
\(651\) −1.49597 0.150815i −0.0586318 0.00591089i
\(652\) −11.8711 14.4604i −0.464907 0.566315i
\(653\) −3.08923 13.5348i −0.120891 0.529658i −0.998715 0.0506753i \(-0.983863\pi\)
0.877824 0.478983i \(-0.158995\pi\)
\(654\) −19.6362 6.71514i −0.767835 0.262583i
\(655\) 2.44266i 0.0954428i
\(656\) −2.69595 + 2.27794i −0.105259 + 0.0889384i
\(657\) −1.86456 + 1.48693i −0.0727433 + 0.0580108i
\(658\) 22.3720 0.420959i 0.872152 0.0164107i
\(659\) −27.5847 21.9981i −1.07455 0.856923i −0.0843273 0.996438i \(-0.526874\pi\)
−0.990220 + 0.139515i \(0.955446\pi\)
\(660\) −2.15509 4.31743i −0.0838869 0.168056i
\(661\) −14.1894 + 29.4646i −0.551904 + 1.14604i 0.419313 + 0.907842i \(0.362271\pi\)
−0.971217 + 0.238198i \(0.923443\pi\)
\(662\) −2.26346 18.8846i −0.0879718 0.733970i
\(663\) 2.04439 2.56359i 0.0793977 0.0995616i
\(664\) 6.30680 + 3.77820i 0.244751 + 0.146622i
\(665\) −2.88995 + 28.6663i −0.112068 + 1.11163i
\(666\) 4.59871 + 1.57266i 0.178197 + 0.0609393i
\(667\) 64.7301i 2.50636i
\(668\) −7.26327 + 15.6460i −0.281024 + 0.605360i
\(669\) 6.03154 + 7.56332i 0.233193 + 0.292415i
\(670\) −13.5763 13.3852i −0.524497 0.517114i
\(671\) −0.592760 0.285458i −0.0228832 0.0110200i
\(672\) −4.01468 14.4181i −0.154870 0.556191i
\(673\) 5.59689 2.69532i 0.215744 0.103897i −0.322891 0.946436i \(-0.604655\pi\)
0.538635 + 0.842539i \(0.318940\pi\)
\(674\) 22.4502 + 7.67749i 0.864751 + 0.295726i
\(675\) −2.68293 + 1.29203i −0.103266 + 0.0497303i
\(676\) −22.0244 4.69945i −0.847091 0.180748i
\(677\) 2.55976 5.31541i 0.0983798 0.204288i −0.845970 0.533230i \(-0.820978\pi\)
0.944350 + 0.328943i \(0.106692\pi\)
\(678\) 3.45243 + 9.64659i 0.132590 + 0.370475i
\(679\) 4.87456 0.607192i 0.187068 0.0233019i
\(680\) 9.36486 3.50215i 0.359126 0.134301i
\(681\) 6.11839 26.8064i 0.234457 1.02722i
\(682\) 1.35606 + 0.143064i 0.0519261 + 0.00547819i
\(683\) −13.1159 2.99362i −0.501866 0.114548i −0.0359089 0.999355i \(-0.511433\pi\)
−0.465957 + 0.884808i \(0.654290\pi\)
\(684\) 0.217128 + 15.3142i 0.00830211 + 0.585554i
\(685\) 10.4377i 0.398803i
\(686\) −25.7584 4.74406i −0.983459 0.181129i
\(687\) 11.3037i 0.431263i
\(688\) −5.26006 + 11.7647i −0.200538 + 0.448525i
\(689\) −7.03859 1.60651i −0.268149 0.0612033i
\(690\) −1.68747 + 15.9950i −0.0642410 + 0.608920i
\(691\) 7.60625 33.3252i 0.289356 1.26775i −0.596056 0.802943i \(-0.703267\pi\)
0.885412 0.464807i \(-0.153876\pi\)
\(692\) −8.38757 + 39.3091i −0.318848 + 1.49431i
\(693\) −4.45452 + 0.554871i −0.169213 + 0.0210778i
\(694\) 9.53689 3.41317i 0.362016 0.129562i
\(695\) 4.40145 9.13970i 0.166956 0.346689i
\(696\) −21.4419 + 8.01857i −0.812753 + 0.303943i
\(697\) −1.97620 + 0.951687i −0.0748538 + 0.0360477i
\(698\) −1.87905 + 5.49466i −0.0711232 + 0.207976i
\(699\) −6.84361 + 3.29571i −0.258849 + 0.124655i
\(700\) 15.6071 2.16919i 0.589895 0.0819878i
\(701\) 30.5934 + 14.7330i 1.15550 + 0.556458i 0.910681 0.413111i \(-0.135558\pi\)
0.244817 + 0.969569i \(0.421272\pi\)
\(702\) −1.30968 + 1.32838i −0.0494305 + 0.0501363i
\(703\) 16.4088 + 20.5759i 0.618869 + 0.776037i
\(704\) 3.58027 + 13.0926i 0.134936 + 0.493446i
\(705\) 8.50408i 0.320282i
\(706\) 4.89814 14.3230i 0.184344 0.539052i
\(707\) 1.45978 14.4800i 0.0549008 0.544576i
\(708\) −9.11572 18.2621i −0.342590 0.686331i
\(709\) −19.4725 + 24.4178i −0.731306 + 0.917029i −0.998918 0.0464979i \(-0.985194\pi\)
0.267612 + 0.963527i \(0.413765\pi\)
\(710\) 29.9458 3.58923i 1.12385 0.134701i
\(711\) 7.42030 15.4084i 0.278283 0.577861i
\(712\) −17.2195 + 28.7439i −0.645329 + 1.07722i
\(713\) −3.55343 2.83376i −0.133077 0.106125i
\(714\) −0.174982 9.29948i −0.00654854 0.348024i
\(715\) 2.48818 1.98426i 0.0930527 0.0742071i
\(716\) 3.39039 + 1.57391i 0.126705 + 0.0588198i
\(717\) 13.6311i 0.509063i
\(718\) −5.65673 + 16.5412i −0.211107 + 0.617312i
\(719\) 3.92315 + 17.1885i 0.146309 + 0.641021i 0.993892 + 0.110358i \(0.0351998\pi\)
−0.847583 + 0.530663i \(0.821943\pi\)
\(720\) −5.50740 + 1.42244i −0.205249 + 0.0530111i
\(721\) −31.3176 3.15724i −1.16633 0.117582i
\(722\) −29.4905 + 47.6809i −1.09752 + 1.77450i
\(723\) 13.4427 10.7202i 0.499940 0.398689i
\(724\) −45.9986 + 0.652178i −1.70952 + 0.0242380i
\(725\) −5.36306 23.4971i −0.199179 0.872660i
\(726\) −11.4037 + 1.36682i −0.423230 + 0.0507273i
\(727\) −9.14201 + 40.0538i −0.339058 + 1.48551i 0.461976 + 0.886893i \(0.347141\pi\)
−0.801034 + 0.598619i \(0.795716\pi\)
\(728\) 8.74729 4.57386i 0.324196 0.169518i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) −1.61610 4.51560i −0.0598144 0.167130i
\(731\) −4.99338 + 6.26150i −0.184687 + 0.231590i
\(732\) −0.474896 + 0.613134i −0.0175526 + 0.0226621i
\(733\) 14.0440 + 29.1626i 0.518726 + 1.07715i 0.981640 + 0.190743i \(0.0610897\pi\)
−0.462914 + 0.886403i \(0.653196\pi\)
\(734\) −6.85915 + 4.37801i −0.253176 + 0.161595i
\(735\) −1.98685 + 9.75392i −0.0732861 + 0.359779i
\(736\) 13.4198 43.2055i 0.494660 1.59258i
\(737\) 14.4917 6.97885i 0.533810 0.257069i
\(738\) 1.17488 0.420479i 0.0432479 0.0154781i
\(739\) 13.5331 + 10.7923i 0.497821 + 0.396999i 0.839958 0.542651i \(-0.182579\pi\)
−0.342137 + 0.939650i \(0.611151\pi\)
\(740\) −5.98511 + 7.72734i −0.220017 + 0.284063i
\(741\) −9.84793 + 2.24773i −0.361773 + 0.0825723i
\(742\) −18.2807 + 9.23115i −0.671106 + 0.338886i
\(743\) 37.9342 + 8.65823i 1.39167 + 0.317640i 0.851694 0.524040i \(-0.175576\pi\)
0.539977 + 0.841680i \(0.318433\pi\)
\(744\) 0.498499 1.52811i 0.0182758 0.0560234i
\(745\) −24.5237 + 5.59738i −0.898479 + 0.205072i
\(746\) 0.371654 0.600897i 0.0136072 0.0220004i
\(747\) −1.62063 2.03221i −0.0592958 0.0743546i
\(748\) 0.119584 + 8.43438i 0.00437244 + 0.308392i
\(749\) 5.01152 + 1.68792i 0.183117 + 0.0616751i
\(750\) −1.90931 15.9298i −0.0697181 0.581676i
\(751\) −6.75387 + 1.54153i −0.246452 + 0.0562511i −0.343962 0.938983i \(-0.611769\pi\)
0.0975102 + 0.995235i \(0.468912\pi\)
\(752\) −4.65959 + 23.4627i −0.169918 + 0.855597i
\(753\) 2.69108 0.0980682
\(754\) −8.12307 12.7266i −0.295825 0.463477i
\(755\) −10.8596 13.6176i −0.395223 0.495594i
\(756\) −0.456074 + 5.27181i −0.0165873 + 0.191734i
\(757\) −9.68453 + 12.1440i −0.351990 + 0.441382i −0.926032 0.377444i \(-0.876803\pi\)
0.574042 + 0.818826i \(0.305375\pi\)
\(758\) −13.8855 1.46492i −0.504343 0.0532081i
\(759\) −12.2256 5.88753i −0.443760 0.213704i
\(760\) −29.2822 9.55237i −1.06218 0.346501i
\(761\) 4.90525 + 3.91180i 0.177815 + 0.141803i 0.708353 0.705858i \(-0.249439\pi\)
−0.530538 + 0.847661i \(0.678010\pi\)
\(762\) 12.5093 + 1.31973i 0.453164 + 0.0478088i
\(763\) −21.0400 32.6293i −0.761699 1.18126i
\(764\) 4.93390 + 20.2867i 0.178502 + 0.733946i
\(765\) −3.53493 −0.127806
\(766\) 42.0998 26.8712i 1.52113 0.970896i
\(767\) 10.5246 8.39311i 0.380022 0.303058i
\(768\) 15.9743 0.906859i 0.576422 0.0327234i
\(769\) −5.55559 + 11.5363i −0.200340 + 0.416010i −0.976799 0.214158i \(-0.931299\pi\)
0.776459 + 0.630167i \(0.217014\pi\)
\(770\) 1.84288 8.83743i 0.0664129 0.318479i
\(771\) −8.18931 17.0053i −0.294931 0.612430i
\(772\) 42.1958 10.2624i 1.51866 0.369352i