Properties

Label 552.2.bb.a.85.20
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 85.20
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.355714 + 1.36875i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.74694 - 0.973765i) q^{4} +(0.190010 - 0.0867748i) q^{5} +(-1.34378 + 0.440755i) q^{6} +(2.41838 - 0.710100i) q^{7} +(1.95425 - 2.04473i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.355714 + 1.36875i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.74694 - 0.973765i) q^{4} +(0.190010 - 0.0867748i) q^{5} +(-1.34378 + 0.440755i) q^{6} +(2.41838 - 0.710100i) q^{7} +(1.95425 - 2.04473i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(0.0511834 + 0.290943i) q^{10} +(4.36540 - 3.78264i) q^{11} +(-0.125281 - 1.99607i) q^{12} +(1.69874 - 5.78537i) q^{13} +(0.111696 + 3.56274i) q^{14} +(0.175727 + 0.112933i) q^{15} +(2.10356 + 3.40221i) q^{16} +(0.569168 - 3.95865i) q^{17} +(-1.09729 - 0.892167i) q^{18} +(-6.83272 + 0.982398i) q^{19} +(-0.416434 - 0.0334354i) q^{20} +(1.90485 + 1.65056i) q^{21} +(3.62464 + 7.32066i) q^{22} +(3.93147 + 2.74655i) q^{23} +(2.77668 + 0.538552i) q^{24} +(-3.24573 + 3.74577i) q^{25} +(7.31444 + 4.38308i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(-4.91622 - 1.11443i) q^{28} +(0.673989 + 0.0969050i) q^{29} +(-0.217085 + 0.200354i) q^{30} +(0.246501 + 0.158417i) q^{31} +(-5.40503 + 1.66903i) q^{32} +(5.54227 + 1.62736i) q^{33} +(5.21593 + 2.18719i) q^{34} +(0.397898 - 0.344780i) q^{35} +(1.61147 - 1.18455i) q^{36} +(1.94862 + 0.889905i) q^{37} +(1.08584 - 9.70172i) q^{38} +(5.78537 - 1.69874i) q^{39} +(0.193896 - 0.558099i) q^{40} +(4.71909 + 10.3334i) q^{41} +(-2.93678 + 2.02013i) q^{42} +(-3.10617 - 4.83330i) q^{43} +(-11.3095 + 2.35715i) q^{44} +0.208887i q^{45} +(-5.15781 + 4.40420i) q^{46} +3.14610 q^{47} +(-1.72485 + 3.60900i) q^{48} +(-0.544467 + 0.349908i) q^{49} +(-3.97246 - 5.77501i) q^{50} +(3.63794 - 1.66139i) q^{51} +(-8.60117 + 8.45250i) q^{52} +(0.724646 + 2.46792i) q^{53} +(0.157300 - 1.40544i) q^{54} +(0.501233 - 1.09755i) q^{55} +(3.27414 - 6.33264i) q^{56} +(-4.52050 - 5.21693i) q^{57} +(-0.372386 + 0.888050i) q^{58} +(2.17725 - 7.41504i) q^{59} +(-0.197013 - 0.368403i) q^{60} +(-6.75974 + 10.5184i) q^{61} +(-0.304516 + 0.281046i) q^{62} +(-0.358701 + 2.49482i) q^{63} +(-0.361841 - 7.99181i) q^{64} +(-0.179247 - 1.24669i) q^{65} +(-4.19890 + 7.00709i) q^{66} +(-2.83098 - 2.45306i) q^{67} +(-4.84909 + 6.36127i) q^{68} +(-0.185034 + 4.79226i) q^{69} +(0.330379 + 0.667264i) q^{70} +(7.73672 - 8.92865i) q^{71} +(1.04813 + 2.62706i) q^{72} +(1.62593 + 11.3086i) q^{73} +(-1.91121 + 2.35062i) q^{74} +(-4.90592 - 0.705364i) q^{75} +(12.8930 + 4.93728i) q^{76} +(7.87113 - 12.2477i) q^{77} +(0.267205 + 8.52297i) q^{78} +(-2.27930 - 0.669262i) q^{79} +(0.694924 + 0.463918i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-15.8224 + 2.78351i) q^{82} +(-13.0165 - 5.94443i) q^{83} +(-1.72039 - 4.73829i) q^{84} +(-0.235363 - 0.801573i) q^{85} +(7.72047 - 2.53229i) q^{86} +(0.282864 + 0.619387i) q^{87} +(0.796589 - 16.3183i) q^{88} +(-14.0921 + 9.05642i) q^{89} +(-0.285913 - 0.0743040i) q^{90} -15.1975i q^{91} +(-4.19353 - 8.62637i) q^{92} +0.293016i q^{93} +(-1.11911 + 4.30621i) q^{94} +(-1.21304 + 0.779574i) q^{95} +(-4.32626 - 3.64465i) q^{96} +(-2.56200 - 5.60999i) q^{97} +(-0.285260 - 0.869704i) q^{98} +(1.62736 + 5.54227i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.355714 + 1.36875i −0.251528 + 0.967850i
\(3\) 0.540641 + 0.841254i 0.312139 + 0.485698i
\(4\) −1.74694 0.973765i −0.873468 0.486882i
\(5\) 0.190010 0.0867748i 0.0849752 0.0388069i −0.372474 0.928043i \(-0.621490\pi\)
0.457449 + 0.889236i \(0.348763\pi\)
\(6\) −1.34378 + 0.440755i −0.548594 + 0.179937i
\(7\) 2.41838 0.710100i 0.914061 0.268392i 0.209312 0.977849i \(-0.432878\pi\)
0.704749 + 0.709457i \(0.251060\pi\)
\(8\) 1.95425 2.04473i 0.690930 0.722921i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) 0.0511834 + 0.290943i 0.0161856 + 0.0920042i
\(11\) 4.36540 3.78264i 1.31622 1.14051i 0.336157 0.941806i \(-0.390873\pi\)
0.980060 0.198703i \(-0.0636728\pi\)
\(12\) −0.125281 1.99607i −0.0361656 0.576216i
\(13\) 1.69874 5.78537i 0.471145 1.60457i −0.290700 0.956814i \(-0.593888\pi\)
0.761845 0.647759i \(-0.224294\pi\)
\(14\) 0.111696 + 3.56274i 0.0298520 + 0.952182i
\(15\) 0.175727 + 0.112933i 0.0453725 + 0.0291591i
\(16\) 2.10356 + 3.40221i 0.525891 + 0.850552i
\(17\) 0.569168 3.95865i 0.138043 0.960114i −0.796595 0.604514i \(-0.793367\pi\)
0.934638 0.355600i \(-0.115723\pi\)
\(18\) −1.09729 0.892167i −0.258633 0.210286i
\(19\) −6.83272 + 0.982398i −1.56753 + 0.225377i −0.870685 0.491840i \(-0.836324\pi\)
−0.696849 + 0.717218i \(0.745415\pi\)
\(20\) −0.416434 0.0334354i −0.0931174 0.00747638i
\(21\) 1.90485 + 1.65056i 0.415672 + 0.360182i
\(22\) 3.62464 + 7.32066i 0.772776 + 1.56077i
\(23\) 3.93147 + 2.74655i 0.819768 + 0.572696i
\(24\) 2.77668 + 0.538552i 0.566788 + 0.109932i
\(25\) −3.24573 + 3.74577i −0.649146 + 0.749154i
\(26\) 7.31444 + 4.38308i 1.43448 + 0.859593i
\(27\) −0.989821 + 0.142315i −0.190491 + 0.0273885i
\(28\) −4.91622 1.11443i −0.929078 0.210608i
\(29\) 0.673989 + 0.0969050i 0.125157 + 0.0179948i 0.204608 0.978844i \(-0.434408\pi\)
−0.0794518 + 0.996839i \(0.525317\pi\)
\(30\) −0.217085 + 0.200354i −0.0396341 + 0.0365794i
\(31\) 0.246501 + 0.158417i 0.0442729 + 0.0284525i 0.562590 0.826736i \(-0.309805\pi\)
−0.518317 + 0.855188i \(0.673441\pi\)
\(32\) −5.40503 + 1.66903i −0.955483 + 0.295046i
\(33\) 5.54227 + 1.62736i 0.964786 + 0.283287i
\(34\) 5.21593 + 2.18719i 0.894524 + 0.375101i
\(35\) 0.397898 0.344780i 0.0672570 0.0582785i
\(36\) 1.61147 1.18455i 0.268578 0.197425i
\(37\) 1.94862 + 0.889905i 0.320351 + 0.146300i 0.569100 0.822269i \(-0.307292\pi\)
−0.248748 + 0.968568i \(0.580019\pi\)
\(38\) 1.08584 9.70172i 0.176147 1.57383i
\(39\) 5.78537 1.69874i 0.926401 0.272016i
\(40\) 0.193896 0.558099i 0.0306576 0.0882432i
\(41\) 4.71909 + 10.3334i 0.736997 + 1.61380i 0.788432 + 0.615123i \(0.210893\pi\)
−0.0514343 + 0.998676i \(0.516379\pi\)
\(42\) −2.93678 + 2.02013i −0.453155 + 0.311712i
\(43\) −3.10617 4.83330i −0.473687 0.737071i 0.519390 0.854537i \(-0.326159\pi\)
−0.993077 + 0.117466i \(0.962523\pi\)
\(44\) −11.3095 + 2.35715i −1.70497 + 0.355354i
\(45\) 0.208887i 0.0311390i
\(46\) −5.15781 + 4.40420i −0.760478 + 0.649364i
\(47\) 3.14610 0.458905 0.229453 0.973320i \(-0.426306\pi\)
0.229453 + 0.973320i \(0.426306\pi\)
\(48\) −1.72485 + 3.60900i −0.248960 + 0.520915i
\(49\) −0.544467 + 0.349908i −0.0777810 + 0.0499868i
\(50\) −3.97246 5.77501i −0.561791 0.816709i
\(51\) 3.63794 1.66139i 0.509414 0.232642i
\(52\) −8.60117 + 8.45250i −1.19277 + 1.17215i
\(53\) 0.724646 + 2.46792i 0.0995378 + 0.338995i 0.994172 0.107804i \(-0.0343820\pi\)
−0.894634 + 0.446799i \(0.852564\pi\)
\(54\) 0.157300 1.40544i 0.0214059 0.191256i
\(55\) 0.501233 1.09755i 0.0675862 0.147993i
\(56\) 3.27414 6.33264i 0.437526 0.846234i
\(57\) −4.52050 5.21693i −0.598754 0.690999i
\(58\) −0.372386 + 0.888050i −0.0488967 + 0.116607i
\(59\) 2.17725 7.41504i 0.283454 0.965356i −0.687519 0.726167i \(-0.741300\pi\)
0.970973 0.239189i \(-0.0768817\pi\)
\(60\) −0.197013 0.368403i −0.0254343 0.0475606i
\(61\) −6.75974 + 10.5184i −0.865496 + 1.34674i 0.0715158 + 0.997439i \(0.477216\pi\)
−0.937012 + 0.349298i \(0.886420\pi\)
\(62\) −0.304516 + 0.281046i −0.0386736 + 0.0356929i
\(63\) −0.358701 + 2.49482i −0.0451921 + 0.314318i
\(64\) −0.361841 7.99181i −0.0452302 0.998977i
\(65\) −0.179247 1.24669i −0.0222328 0.154632i
\(66\) −4.19890 + 7.00709i −0.516849 + 0.862513i
\(67\) −2.83098 2.45306i −0.345859 0.299689i 0.464557 0.885543i \(-0.346214\pi\)
−0.810416 + 0.585854i \(0.800759\pi\)
\(68\) −4.84909 + 6.36127i −0.588039 + 0.771417i
\(69\) −0.185034 + 4.79226i −0.0222754 + 0.576920i
\(70\) 0.330379 + 0.667264i 0.0394879 + 0.0797533i
\(71\) 7.73672 8.92865i 0.918180 1.05964i −0.0798447 0.996807i \(-0.525442\pi\)
0.998024 0.0628285i \(-0.0200121\pi\)
\(72\) 1.04813 + 2.62706i 0.123523 + 0.309602i
\(73\) 1.62593 + 11.3086i 0.190300 + 1.32357i 0.831213 + 0.555954i \(0.187647\pi\)
−0.640912 + 0.767614i \(0.721444\pi\)
\(74\) −1.91121 + 2.35062i −0.222173 + 0.273254i
\(75\) −4.90592 0.705364i −0.566487 0.0814485i
\(76\) 12.8930 + 4.93728i 1.47892 + 0.566345i
\(77\) 7.87113 12.2477i 0.896999 1.39576i
\(78\) 0.267205 + 8.52297i 0.0302550 + 0.965036i
\(79\) −2.27930 0.669262i −0.256441 0.0752978i 0.150985 0.988536i \(-0.451755\pi\)
−0.407426 + 0.913238i \(0.633574\pi\)
\(80\) 0.694924 + 0.463918i 0.0776949 + 0.0518676i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −15.8224 + 2.78351i −1.74729 + 0.307388i
\(83\) −13.0165 5.94443i −1.42874 0.652486i −0.457204 0.889362i \(-0.651149\pi\)
−0.971540 + 0.236876i \(0.923876\pi\)
\(84\) −1.72039 4.73829i −0.187710 0.516990i
\(85\) −0.235363 0.801573i −0.0255287 0.0869428i
\(86\) 7.72047 2.53229i 0.832520 0.273064i
\(87\) 0.282864 + 0.619387i 0.0303263 + 0.0664052i
\(88\) 0.796589 16.3183i 0.0849166 1.73953i
\(89\) −14.0921 + 9.05642i −1.49376 + 0.959979i −0.498075 + 0.867134i \(0.665960\pi\)
−0.995681 + 0.0928449i \(0.970404\pi\)
\(90\) −0.285913 0.0743040i −0.0301379 0.00783233i
\(91\) 15.1975i 1.59313i
\(92\) −4.19353 8.62637i −0.437205 0.899362i
\(93\) 0.293016i 0.0303844i
\(94\) −1.11911 + 4.30621i −0.115427 + 0.444152i
\(95\) −1.21304 + 0.779574i −0.124455 + 0.0799826i
\(96\) −4.32626 3.64465i −0.441547 0.371981i
\(97\) −2.56200 5.60999i −0.260131 0.569608i 0.733831 0.679332i \(-0.237731\pi\)
−0.993962 + 0.109724i \(0.965003\pi\)
\(98\) −0.285260 0.869704i −0.0288156 0.0878534i
\(99\) 1.62736 + 5.54227i 0.163556 + 0.557019i
\(100\) 9.31758 3.38304i 0.931758 0.338304i
\(101\) 11.3221 + 5.17063i 1.12659 + 0.514497i 0.889475 0.456984i \(-0.151070\pi\)
0.237117 + 0.971481i \(0.423798\pi\)
\(102\) 0.979959 + 5.57040i 0.0970304 + 0.551552i
\(103\) 7.58841 + 8.75749i 0.747708 + 0.862901i 0.994344 0.106207i \(-0.0338706\pi\)
−0.246636 + 0.969108i \(0.579325\pi\)
\(104\) −8.50977 14.7795i −0.834451 1.44925i
\(105\) 0.505167 + 0.148331i 0.0492993 + 0.0144756i
\(106\) −3.63572 + 0.113984i −0.353133 + 0.0110711i
\(107\) −2.68053 + 4.17098i −0.259137 + 0.403224i −0.946306 0.323273i \(-0.895217\pi\)
0.687169 + 0.726497i \(0.258853\pi\)
\(108\) 1.86774 + 0.715238i 0.179723 + 0.0688238i
\(109\) 9.47882 + 1.36285i 0.907906 + 0.130537i 0.580419 0.814318i \(-0.302889\pi\)
0.327488 + 0.944855i \(0.393798\pi\)
\(110\) 1.32397 + 1.07647i 0.126235 + 0.102638i
\(111\) 0.304868 + 2.12040i 0.0289368 + 0.201260i
\(112\) 7.50312 + 6.73408i 0.708978 + 0.636311i
\(113\) 6.04769 6.97941i 0.568919 0.656567i −0.396266 0.918136i \(-0.629694\pi\)
0.965185 + 0.261568i \(0.0842397\pi\)
\(114\) 8.74866 4.33168i 0.819387 0.405699i
\(115\) 0.985351 + 0.180721i 0.0918844 + 0.0168523i
\(116\) −1.08305 0.825594i −0.100559 0.0766545i
\(117\) 4.55688 + 3.94856i 0.421283 + 0.365044i
\(118\) 9.37483 + 5.61774i 0.863023 + 0.517155i
\(119\) −1.43457 9.97767i −0.131507 0.914652i
\(120\) 0.574331 0.138615i 0.0524290 0.0126538i
\(121\) 3.18288 22.1374i 0.289353 2.01249i
\(122\) −11.9924 12.9939i −1.08574 1.17641i
\(123\) −6.14164 + 9.55658i −0.553773 + 0.861688i
\(124\) −0.276361 0.516778i −0.0248179 0.0464080i
\(125\) −0.585935 + 1.99551i −0.0524076 + 0.178484i
\(126\) −3.28718 1.37841i −0.292845 0.122799i
\(127\) 5.68698 + 6.56313i 0.504638 + 0.582383i 0.949718 0.313108i \(-0.101370\pi\)
−0.445080 + 0.895491i \(0.646825\pi\)
\(128\) 11.0675 + 2.34753i 0.978236 + 0.207494i
\(129\) 2.38671 5.22616i 0.210138 0.460138i
\(130\) 1.77016 + 0.198121i 0.155253 + 0.0173764i
\(131\) 1.76611 + 6.01481i 0.154306 + 0.525517i 0.999966 0.00820412i \(-0.00261148\pi\)
−0.845661 + 0.533721i \(0.820793\pi\)
\(132\) −8.09732 8.23976i −0.704782 0.717179i
\(133\) −15.8265 + 7.22772i −1.37233 + 0.626723i
\(134\) 4.36464 3.00231i 0.377047 0.259360i
\(135\) −0.175727 + 0.112933i −0.0151242 + 0.00971971i
\(136\) −6.98207 8.89997i −0.598708 0.763166i
\(137\) −0.313042 −0.0267450 −0.0133725 0.999911i \(-0.504257\pi\)
−0.0133725 + 0.999911i \(0.504257\pi\)
\(138\) −6.49357 1.95794i −0.552770 0.166671i
\(139\) 5.60105i 0.475075i 0.971378 + 0.237538i \(0.0763403\pi\)
−0.971378 + 0.237538i \(0.923660\pi\)
\(140\) −1.03084 + 0.214850i −0.0871216 + 0.0181581i
\(141\) 1.70091 + 2.64667i 0.143242 + 0.222889i
\(142\) 9.46900 + 13.7657i 0.794621 + 1.15519i
\(143\) −14.4683 31.6812i −1.20990 2.64931i
\(144\) −3.96861 + 0.500142i −0.330717 + 0.0416785i
\(145\) 0.136474 0.0400723i 0.0113335 0.00332782i
\(146\) −16.0569 1.79713i −1.32888 0.148732i
\(147\) −0.588722 0.268860i −0.0485570 0.0221752i
\(148\) −2.53756 3.45211i −0.208586 0.283761i
\(149\) 1.66760 1.44498i 0.136615 0.118377i −0.583873 0.811845i \(-0.698463\pi\)
0.720488 + 0.693468i \(0.243918\pi\)
\(150\) 2.71057 6.46405i 0.221317 0.527788i
\(151\) −23.0454 6.76675i −1.87541 0.550670i −0.997403 0.0720229i \(-0.977055\pi\)
−0.878007 0.478647i \(-0.841127\pi\)
\(152\) −11.3441 + 15.8909i −0.920127 + 1.28892i
\(153\) 3.36447 + 2.16222i 0.272002 + 0.174805i
\(154\) 13.9642 + 15.1303i 1.12526 + 1.21923i
\(155\) 0.0605843 + 0.00871070i 0.00486625 + 0.000699661i
\(156\) −11.7608 2.66600i −0.941621 0.213451i
\(157\) 18.5052 2.66065i 1.47688 0.212343i 0.643671 0.765303i \(-0.277411\pi\)
0.833208 + 0.552960i \(0.186502\pi\)
\(158\) 1.72683 2.88171i 0.137379 0.229257i
\(159\) −1.68437 + 1.94387i −0.133579 + 0.154159i
\(160\) −0.882180 + 0.786154i −0.0697425 + 0.0621509i
\(161\) 11.4581 + 3.85046i 0.903025 + 0.303459i
\(162\) 1.26737 0.627508i 0.0995742 0.0493017i
\(163\) 1.36908 + 1.18632i 0.107235 + 0.0929194i 0.706828 0.707386i \(-0.250125\pi\)
−0.599593 + 0.800305i \(0.704671\pi\)
\(164\) 1.81832 22.6470i 0.141987 1.76843i
\(165\) 1.19430 0.171715i 0.0929763 0.0133680i
\(166\) 12.7666 15.7017i 0.990877 1.21869i
\(167\) −0.591885 + 4.11665i −0.0458014 + 0.318556i 0.954022 + 0.299738i \(0.0968993\pi\)
−0.999823 + 0.0188177i \(0.994010\pi\)
\(168\) 7.09749 0.669298i 0.547583 0.0516375i
\(169\) −19.6485 12.6273i −1.51142 0.971333i
\(170\) 1.18087 0.0370217i 0.0905688 0.00283944i
\(171\) 1.94480 6.62337i 0.148722 0.506502i
\(172\) 0.719786 + 11.4681i 0.0548832 + 0.874438i
\(173\) −13.3481 + 11.5662i −1.01483 + 0.879359i −0.992726 0.120397i \(-0.961583\pi\)
−0.0221086 + 0.999756i \(0.507038\pi\)
\(174\) −0.948402 + 0.166845i −0.0718982 + 0.0126485i
\(175\) −5.18953 + 11.3635i −0.392291 + 0.858998i
\(176\) 22.0522 + 6.89497i 1.66225 + 0.519728i
\(177\) 7.41504 2.17725i 0.557348 0.163652i
\(178\) −7.38320 22.5100i −0.553394 1.68719i
\(179\) 9.69685 4.42840i 0.724777 0.330994i −0.0186370 0.999826i \(-0.505933\pi\)
0.743414 + 0.668832i \(0.233205\pi\)
\(180\) 0.203407 0.364912i 0.0151610 0.0271989i
\(181\) −7.44916 11.5911i −0.553692 0.861561i 0.445744 0.895161i \(-0.352939\pi\)
−0.999435 + 0.0335996i \(0.989303\pi\)
\(182\) 20.8015 + 5.40596i 1.54191 + 0.400716i
\(183\) −12.5032 −0.924263
\(184\) 13.2990 2.67135i 0.980417 0.196935i
\(185\) 0.447479 0.0328993
\(186\) −0.401065 0.104230i −0.0294075 0.00764252i
\(187\) −12.4895 19.4340i −0.913323 1.42116i
\(188\) −5.49603 3.06356i −0.400839 0.223433i
\(189\) −2.29270 + 1.04704i −0.166770 + 0.0761612i
\(190\) −0.635543 1.93765i −0.0461072 0.140572i
\(191\) 14.1397 4.15180i 1.02311 0.300413i 0.273206 0.961956i \(-0.411916\pi\)
0.749908 + 0.661542i \(0.230098\pi\)
\(192\) 6.52751 4.62510i 0.471083 0.333788i
\(193\) −7.89644 + 17.2908i −0.568398 + 1.24462i 0.379247 + 0.925295i \(0.376183\pi\)
−0.947646 + 0.319324i \(0.896544\pi\)
\(194\) 8.59000 1.51117i 0.616726 0.108496i
\(195\) 0.951872 0.824802i 0.0681650 0.0590653i
\(196\) 1.29188 0.0810833i 0.0922768 0.00579166i
\(197\) −5.86293 + 19.9673i −0.417716 + 1.42261i 0.435091 + 0.900386i \(0.356716\pi\)
−0.852808 + 0.522225i \(0.825102\pi\)
\(198\) −8.16484 + 0.255977i −0.580250 + 0.0181915i
\(199\) −13.8730 8.91566i −0.983434 0.632014i −0.0530462 0.998592i \(-0.516893\pi\)
−0.930387 + 0.366578i \(0.880529\pi\)
\(200\) 1.31614 + 13.9568i 0.0930649 + 0.986895i
\(201\) 0.533101 3.70780i 0.0376020 0.261528i
\(202\) −11.1047 + 13.6578i −0.781325 + 0.960961i
\(203\) 1.69877 0.244247i 0.119230 0.0171428i
\(204\) −7.97306 0.640155i −0.558226 0.0448198i
\(205\) 1.79335 + 1.55395i 0.125253 + 0.108532i
\(206\) −14.6861 + 7.27145i −1.02323 + 0.506626i
\(207\) −4.13154 + 2.43523i −0.287162 + 0.169260i
\(208\) 23.2564 6.39044i 1.61254 0.443097i
\(209\) −26.1115 + 30.1343i −1.80617 + 2.08443i
\(210\) −0.382722 + 0.638683i −0.0264103 + 0.0440733i
\(211\) 2.81311 0.404463i 0.193662 0.0278444i −0.0448011 0.998996i \(-0.514265\pi\)
0.238463 + 0.971152i \(0.423356\pi\)
\(212\) 1.13726 5.01693i 0.0781075 0.344564i
\(213\) 11.6940 + 1.68135i 0.801263 + 0.115204i
\(214\) −4.75552 5.15264i −0.325081 0.352227i
\(215\) −1.00961 0.648839i −0.0688550 0.0442504i
\(216\) −1.64336 + 2.30204i −0.111816 + 0.156634i
\(217\) 0.708624 + 0.208071i 0.0481045 + 0.0141248i
\(218\) −5.23714 + 12.4893i −0.354704 + 0.845883i
\(219\) −8.63433 + 7.48169i −0.583454 + 0.505566i
\(220\) −1.94437 + 1.42926i −0.131090 + 0.0963607i
\(221\) −21.9354 10.0176i −1.47553 0.673854i
\(222\) −3.01074 0.336970i −0.202068 0.0226160i
\(223\) 8.55889 2.51312i 0.573146 0.168291i 0.0176997 0.999843i \(-0.494366\pi\)
0.555446 + 0.831553i \(0.312548\pi\)
\(224\) −11.8862 + 7.87446i −0.794181 + 0.526135i
\(225\) −2.05895 4.50847i −0.137263 0.300565i
\(226\) 7.40179 + 10.7604i 0.492360 + 0.715773i
\(227\) 2.26730 + 3.52799i 0.150486 + 0.234161i 0.908309 0.418299i \(-0.137374\pi\)
−0.757823 + 0.652460i \(0.773737\pi\)
\(228\) 2.81695 + 13.5155i 0.186557 + 0.895088i
\(229\) 3.13780i 0.207351i −0.994611 0.103676i \(-0.966940\pi\)
0.994611 0.103676i \(-0.0330604\pi\)
\(230\) −0.597864 + 1.28441i −0.0394220 + 0.0846915i
\(231\) 14.5589 0.957905
\(232\) 1.51529 1.18875i 0.0994834 0.0780453i
\(233\) −5.10382 + 3.28003i −0.334362 + 0.214882i −0.697039 0.717034i \(-0.745499\pi\)
0.362676 + 0.931915i \(0.381863\pi\)
\(234\) −7.02552 + 4.83265i −0.459272 + 0.315920i
\(235\) 0.597791 0.273002i 0.0389956 0.0178087i
\(236\) −11.0240 + 10.8335i −0.717603 + 0.705198i
\(237\) −0.669262 2.27930i −0.0434732 0.148056i
\(238\) 14.1672 + 1.58563i 0.918324 + 0.102781i
\(239\) 0.205268 0.449474i 0.0132777 0.0290740i −0.902877 0.429899i \(-0.858549\pi\)
0.916155 + 0.400825i \(0.131276\pi\)
\(240\) −0.0145680 + 0.835421i −0.000940361 + 0.0539262i
\(241\) 10.9064 + 12.5866i 0.702541 + 0.810776i 0.989094 0.147289i \(-0.0470546\pi\)
−0.286552 + 0.958065i \(0.592509\pi\)
\(242\) 29.1683 + 12.2311i 1.87501 + 0.786248i
\(243\) 0.281733 0.959493i 0.0180732 0.0615515i
\(244\) 22.0512 11.7925i 1.41169 0.754937i
\(245\) −0.0730911 + 0.113732i −0.00466962 + 0.00726607i
\(246\) −10.8959 11.8058i −0.694695 0.752708i
\(247\) −5.92348 + 41.1987i −0.376902 + 2.62141i
\(248\) 0.805643 0.194443i 0.0511584 0.0123471i
\(249\) −2.03647 14.1640i −0.129056 0.897604i
\(250\) −2.52292 1.51183i −0.159564 0.0956163i
\(251\) 16.8344 + 14.5871i 1.06258 + 0.920727i 0.997022 0.0771224i \(-0.0245732\pi\)
0.0655535 + 0.997849i \(0.479119\pi\)
\(252\) 3.05599 4.00900i 0.192510 0.252543i
\(253\) 27.5516 2.88154i 1.73216 0.181161i
\(254\) −11.0062 + 5.44944i −0.690590 + 0.341928i
\(255\) 0.547079 0.631363i 0.0342594 0.0395375i
\(256\) −7.15003 + 14.3135i −0.446877 + 0.894595i
\(257\) 2.35328 + 16.3674i 0.146794 + 1.02097i 0.921424 + 0.388559i \(0.127027\pi\)
−0.774630 + 0.632414i \(0.782064\pi\)
\(258\) 6.30430 + 5.12581i 0.392489 + 0.319119i
\(259\) 5.34442 + 0.768412i 0.332086 + 0.0477468i
\(260\) −0.900848 + 2.35243i −0.0558682 + 0.145891i
\(261\) −0.368133 + 0.572827i −0.0227869 + 0.0354571i
\(262\) −8.86099 + 0.277802i −0.547434 + 0.0171627i
\(263\) 7.83744 + 2.30128i 0.483277 + 0.141903i 0.514291 0.857616i \(-0.328055\pi\)
−0.0310135 + 0.999519i \(0.509873\pi\)
\(264\) 14.1585 8.15219i 0.871394 0.501733i
\(265\) 0.351843 + 0.406049i 0.0216136 + 0.0249434i
\(266\) −4.26321 24.2335i −0.261394 1.48585i
\(267\) −15.2375 6.95873i −0.932519 0.425867i
\(268\) 2.55684 + 7.04204i 0.156184 + 0.430161i
\(269\) 4.28400 + 14.5900i 0.261200 + 0.889566i 0.980773 + 0.195150i \(0.0625192\pi\)
−0.719573 + 0.694416i \(0.755663\pi\)
\(270\) −0.0920679 0.280697i −0.00560307 0.0170827i
\(271\) −7.62800 16.7030i −0.463368 1.01463i −0.986707 0.162510i \(-0.948041\pi\)
0.523339 0.852125i \(-0.324686\pi\)
\(272\) 14.6654 6.39085i 0.889222 0.387502i
\(273\) 12.7849 8.21638i 0.773780 0.497278i
\(274\) 0.111353 0.428475i 0.00672710 0.0258851i
\(275\) 28.6292i 1.72641i
\(276\) 4.98978 8.19159i 0.300349 0.493076i
\(277\) 16.6080i 0.997878i −0.866637 0.498939i \(-0.833723\pi\)
0.866637 0.498939i \(-0.166277\pi\)
\(278\) −7.66643 1.99237i −0.459802 0.119495i
\(279\) −0.246501 + 0.158417i −0.0147576 + 0.00948415i
\(280\) 0.0726075 1.48738i 0.00433913 0.0888879i
\(281\) −5.99935 13.1367i −0.357891 0.783672i −0.999857 0.0169385i \(-0.994608\pi\)
0.641966 0.766733i \(-0.278119\pi\)
\(282\) −4.22765 + 1.38666i −0.251753 + 0.0825742i
\(283\) −1.63467 5.56718i −0.0971711 0.330935i 0.896532 0.442979i \(-0.146078\pi\)
−0.993703 + 0.112044i \(0.964260\pi\)
\(284\) −22.2100 + 8.06403i −1.31792 + 0.478512i
\(285\) −1.31164 0.599005i −0.0776947 0.0354820i
\(286\) 48.5101 8.53401i 2.86846 0.504626i
\(287\) 18.7502 + 21.6389i 1.10679 + 1.27731i
\(288\) 0.727123 5.60993i 0.0428461 0.330568i
\(289\) 0.964427 + 0.283181i 0.0567310 + 0.0166577i
\(290\) 0.00630322 + 0.201052i 0.000370138 + 0.0118062i
\(291\) 3.33430 5.18828i 0.195460 0.304142i
\(292\) 8.17150 21.3386i 0.478201 1.24875i
\(293\) −4.17079 0.599670i −0.243660 0.0350331i 0.0194025 0.999812i \(-0.493824\pi\)
−0.263063 + 0.964779i \(0.584733\pi\)
\(294\) 0.577418 0.710174i 0.0336757 0.0414182i
\(295\) −0.229738 1.59786i −0.0133759 0.0930312i
\(296\) 5.62770 2.24531i 0.327104 0.130506i
\(297\) −3.78264 + 4.36540i −0.219491 + 0.253306i
\(298\) 1.38463 + 2.79652i 0.0802092 + 0.161998i
\(299\) 22.5684 18.0793i 1.30516 1.04555i
\(300\) 7.88346 + 6.00944i 0.455152 + 0.346955i
\(301\) −10.9440 9.48305i −0.630803 0.546594i
\(302\) 17.4595 29.1363i 1.00468 1.67661i
\(303\) 1.77138 + 12.3202i 0.101763 + 0.707778i
\(304\) −17.7154 21.1798i −1.01605 1.21475i
\(305\) −0.371691 + 2.58517i −0.0212830 + 0.148026i
\(306\) −4.15632 + 3.83598i −0.237601 + 0.219288i
\(307\) −15.9820 + 24.8685i −0.912142 + 1.41932i −0.00430825 + 0.999991i \(0.501371\pi\)
−0.907834 + 0.419330i \(0.862265\pi\)
\(308\) −25.6767 + 13.7313i −1.46307 + 0.782416i
\(309\) −3.26467 + 11.1184i −0.185720 + 0.632505i
\(310\) −0.0334734 + 0.0798260i −0.00190116 + 0.00453381i
\(311\) −17.3341 20.0047i −0.982929 1.13436i −0.990928 0.134392i \(-0.957092\pi\)
0.00799972 0.999968i \(-0.497454\pi\)
\(312\) 7.83258 15.1493i 0.443432 0.857659i
\(313\) −1.24374 + 2.72340i −0.0703002 + 0.153936i −0.941520 0.336957i \(-0.890602\pi\)
0.871220 + 0.490893i \(0.163329\pi\)
\(314\) −2.94081 + 26.2754i −0.165960 + 1.48281i
\(315\) 0.148331 + 0.505167i 0.00835748 + 0.0284630i
\(316\) 3.33008 + 3.38866i 0.187332 + 0.190627i
\(317\) −4.70433 + 2.14839i −0.264221 + 0.120666i −0.543121 0.839654i \(-0.682758\pi\)
0.278900 + 0.960320i \(0.410030\pi\)
\(318\) −2.06151 2.99694i −0.115604 0.168060i
\(319\) 3.30879 2.12643i 0.185257 0.119057i
\(320\) −0.762241 1.48713i −0.0426106 0.0831329i
\(321\) −4.95806 −0.276732
\(322\) −9.34612 + 14.3136i −0.520839 + 0.797664i
\(323\) 27.6075i 1.53612i
\(324\) 0.408077 + 1.95793i 0.0226709 + 0.108774i
\(325\) 16.1570 + 25.1408i 0.896231 + 1.39456i
\(326\) −2.11077 + 1.45194i −0.116905 + 0.0804153i
\(327\) 3.97814 + 8.71090i 0.219991 + 0.481714i
\(328\) 30.3512 + 10.5447i 1.67586 + 0.582232i
\(329\) 7.60845 2.23404i 0.419467 0.123167i
\(330\) −0.189796 + 1.69578i −0.0104479 + 0.0933495i
\(331\) −18.5154 8.45572i −1.01770 0.464768i −0.164514 0.986375i \(-0.552606\pi\)
−0.853186 + 0.521607i \(0.825333\pi\)
\(332\) 16.9505 + 23.0595i 0.930278 + 1.26556i
\(333\) −1.61897 + 1.40285i −0.0887192 + 0.0768756i
\(334\) −5.42411 2.27449i −0.296794 0.124455i
\(335\) −0.750779 0.220449i −0.0410194 0.0120444i
\(336\) −1.60858 + 9.95275i −0.0877551 + 0.542967i
\(337\) −17.0822 10.9781i −0.930527 0.598013i −0.0148328 0.999890i \(-0.504722\pi\)
−0.915694 + 0.401877i \(0.868358\pi\)
\(338\) 24.2729 22.4021i 1.32027 1.21851i
\(339\) 9.14108 + 1.31429i 0.496475 + 0.0713824i
\(340\) −0.369380 + 1.62948i −0.0200324 + 0.0883712i
\(341\) 1.67531 0.240873i 0.0907230 0.0130440i
\(342\) 8.37392 + 5.01796i 0.452810 + 0.271340i
\(343\) −12.6222 + 14.5668i −0.681533 + 0.786531i
\(344\) −15.9530 3.09417i −0.860129 0.166827i
\(345\) 0.380689 + 0.926635i 0.0204956 + 0.0498883i
\(346\) −11.0831 22.3844i −0.595829 1.20339i
\(347\) −6.73110 5.83253i −0.361344 0.313107i 0.455200 0.890389i \(-0.349568\pi\)
−0.816545 + 0.577282i \(0.804113\pi\)
\(348\) 0.108991 1.35747i 0.00584254 0.0727681i
\(349\) −12.2865 + 1.76653i −0.657680 + 0.0945602i −0.463072 0.886321i \(-0.653253\pi\)
−0.194609 + 0.980881i \(0.562344\pi\)
\(350\) −13.7077 11.1453i −0.732710 0.595741i
\(351\) −0.858103 + 5.96824i −0.0458022 + 0.318561i
\(352\) −17.2817 + 27.7313i −0.921120 + 1.47808i
\(353\) 4.05166 + 2.60384i 0.215648 + 0.138589i 0.644006 0.765021i \(-0.277271\pi\)
−0.428358 + 0.903609i \(0.640908\pi\)
\(354\) 0.342473 + 10.9238i 0.0182022 + 0.580593i
\(355\) 0.695274 2.36789i 0.0369013 0.125674i
\(356\) 33.4367 2.09862i 1.77214 0.111227i
\(357\) 7.61817 6.60118i 0.403196 0.349371i
\(358\) 2.61206 + 14.8478i 0.138052 + 0.784730i
\(359\) −0.655620 + 1.43561i −0.0346023 + 0.0757685i −0.926144 0.377170i \(-0.876897\pi\)
0.891542 + 0.452939i \(0.149624\pi\)
\(360\) 0.427117 + 0.408217i 0.0225111 + 0.0215149i
\(361\) 27.4907 8.07198i 1.44688 0.424841i
\(362\) 18.5151 6.07289i 0.973131 0.319184i
\(363\) 20.3440 9.29078i 1.06778 0.487640i
\(364\) −14.7988 + 26.5490i −0.775666 + 1.39155i
\(365\) 1.29024 + 2.00765i 0.0675343 + 0.105085i
\(366\) 4.44756 17.1137i 0.232478 0.894548i
\(367\) 8.96669 0.468057 0.234029 0.972230i \(-0.424809\pi\)
0.234029 + 0.972230i \(0.424809\pi\)
\(368\) −1.07424 + 19.1532i −0.0559986 + 0.998431i
\(369\) −11.3599 −0.591374
\(370\) −0.159175 + 0.612486i −0.00827509 + 0.0318416i
\(371\) 3.50494 + 5.45379i 0.181967 + 0.283147i
\(372\) 0.285329 0.511881i 0.0147936 0.0265398i
\(373\) 3.15179 1.43937i 0.163193 0.0745280i −0.332144 0.943229i \(-0.607772\pi\)
0.495337 + 0.868701i \(0.335045\pi\)
\(374\) 31.0430 10.1820i 1.60519 0.526499i
\(375\) −1.99551 + 0.585935i −0.103048 + 0.0302575i
\(376\) 6.14825 6.43292i 0.317072 0.331752i
\(377\) 1.70556 3.73466i 0.0878410 0.192345i
\(378\) −0.617590 3.51058i −0.0317654 0.180565i
\(379\) −5.67753 + 4.91961i −0.291635 + 0.252703i −0.788373 0.615197i \(-0.789076\pi\)
0.496738 + 0.867900i \(0.334531\pi\)
\(380\) 2.87822 0.180649i 0.147650 0.00926709i
\(381\) −2.44664 + 8.33249i −0.125345 + 0.426886i
\(382\) 0.653061 + 20.8305i 0.0334135 + 1.06578i
\(383\) −6.90273 4.43612i −0.352713 0.226675i 0.352271 0.935898i \(-0.385410\pi\)
−0.704984 + 0.709223i \(0.749046\pi\)
\(384\) 4.00866 + 10.5797i 0.204566 + 0.539894i
\(385\) 0.432802 3.01021i 0.0220577 0.153414i
\(386\) −20.8579 16.9588i −1.06164 0.863181i
\(387\) 5.68687 0.817649i 0.289080 0.0415634i
\(388\) −0.987169 + 12.2951i −0.0501159 + 0.624188i
\(389\) −19.8326 17.1850i −1.00555 0.871314i −0.0138524 0.999904i \(-0.504410\pi\)
−0.991698 + 0.128590i \(0.958955\pi\)
\(390\) 0.790350 + 1.59627i 0.0400210 + 0.0808300i
\(391\) 13.1103 14.0001i 0.663017 0.708013i
\(392\) −0.348556 + 1.79709i −0.0176047 + 0.0907669i
\(393\) −4.10515 + 4.73760i −0.207078 + 0.238980i
\(394\) −25.2447 15.1275i −1.27181 0.762113i
\(395\) −0.491165 + 0.0706188i −0.0247132 + 0.00355322i
\(396\) 2.55398 11.2667i 0.128342 0.566171i
\(397\) −26.6381 3.82998i −1.33693 0.192221i −0.563505 0.826112i \(-0.690548\pi\)
−0.773422 + 0.633891i \(0.781457\pi\)
\(398\) 17.1381 15.8173i 0.859056 0.792847i
\(399\) −14.6368 9.40650i −0.732757 0.470914i
\(400\) −19.5715 3.16317i −0.978575 0.158159i
\(401\) 8.00460 + 2.35036i 0.399731 + 0.117372i 0.475418 0.879760i \(-0.342297\pi\)
−0.0756872 + 0.997132i \(0.524115\pi\)
\(402\) 4.88540 + 2.04859i 0.243662 + 0.102175i
\(403\) 1.33524 1.15699i 0.0665130 0.0576338i
\(404\) −14.7440 20.0578i −0.733542 0.997914i
\(405\) −0.190010 0.0867748i −0.00944168 0.00431187i
\(406\) −0.269965 + 2.41207i −0.0133982 + 0.119709i
\(407\) 11.8727 3.48614i 0.588508 0.172801i
\(408\) 3.71234 10.6854i 0.183788 0.529005i
\(409\) −6.73387 14.7451i −0.332968 0.729099i 0.666903 0.745145i \(-0.267620\pi\)
−0.999871 + 0.0160457i \(0.994892\pi\)
\(410\) −2.76488 + 1.90188i −0.136548 + 0.0939272i
\(411\) −0.169243 0.263347i −0.00834815 0.0129900i
\(412\) −4.72872 22.6881i −0.232967 1.11776i
\(413\) 19.4784i 0.958471i
\(414\) −1.86357 6.52128i −0.0915893 0.320504i
\(415\) −2.98909 −0.146729
\(416\) 0.474256 + 34.1053i 0.0232523 + 1.67215i
\(417\) −4.71191 + 3.02816i −0.230743 + 0.148290i
\(418\) −31.9580 46.4592i −1.56312 2.27240i
\(419\) −10.9304 + 4.99177i −0.533987 + 0.243864i −0.664111 0.747634i \(-0.731190\pi\)
0.130124 + 0.991498i \(0.458462\pi\)
\(420\) −0.738056 0.751038i −0.0360134 0.0366469i
\(421\) −6.74790 22.9812i −0.328872 1.12004i −0.943542 0.331252i \(-0.892529\pi\)
0.614670 0.788784i \(-0.289289\pi\)
\(422\) −0.447053 + 3.99430i −0.0217622 + 0.194440i
\(423\) −1.30694 + 2.86179i −0.0635454 + 0.139145i
\(424\) 6.46237 + 3.34122i 0.313840 + 0.162264i
\(425\) 12.9808 + 14.9807i 0.629663 + 0.726670i
\(426\) −6.46108 + 15.4081i −0.313040 + 0.746525i
\(427\) −8.87852 + 30.2374i −0.429661 + 1.46329i
\(428\) 8.74427 4.67623i 0.422670 0.226034i
\(429\) 18.8297 29.2996i 0.909108 1.41460i
\(430\) 1.24723 1.15110i 0.0601467 0.0555111i
\(431\) −1.39568 + 9.70715i −0.0672274 + 0.467577i 0.928202 + 0.372077i \(0.121354\pi\)
−0.995429 + 0.0955002i \(0.969555\pi\)
\(432\) −2.56634 3.06821i −0.123473 0.147619i
\(433\) −0.927383 6.45009i −0.0445672 0.309972i −0.999896 0.0144264i \(-0.995408\pi\)
0.955329 0.295545i \(-0.0955013\pi\)
\(434\) −0.536864 + 0.895913i −0.0257703 + 0.0430052i
\(435\) 0.107494 + 0.0931443i 0.00515396 + 0.00446593i
\(436\) −15.2318 11.6109i −0.729470 0.556064i
\(437\) −29.5609 14.9042i −1.41409 0.712963i
\(438\) −7.16919 14.4796i −0.342557 0.691860i
\(439\) −15.6599 + 18.0725i −0.747405 + 0.862552i −0.994314 0.106487i \(-0.966040\pi\)
0.246909 + 0.969039i \(0.420585\pi\)
\(440\) −1.26465 3.16976i −0.0602900 0.151112i
\(441\) −0.0921074 0.640621i −0.00438607 0.0305058i
\(442\) 21.5142 26.4606i 1.02333 1.25860i
\(443\) −5.03264 0.723584i −0.239108 0.0343785i 0.0217190 0.999764i \(-0.493086\pi\)
−0.260827 + 0.965386i \(0.583995\pi\)
\(444\) 1.53219 4.00108i 0.0727145 0.189883i
\(445\) −1.89177 + 2.94365i −0.0896784 + 0.139542i
\(446\) 0.395304 + 12.6089i 0.0187182 + 0.597049i
\(447\) 2.11717 + 0.621656i 0.100139 + 0.0294033i
\(448\) −6.55005 19.0703i −0.309461 0.900986i
\(449\) 5.35031 + 6.17459i 0.252497 + 0.291397i 0.867821 0.496878i \(-0.165520\pi\)
−0.615324 + 0.788274i \(0.710975\pi\)
\(450\) 6.90335 1.21445i 0.325427 0.0572499i
\(451\) 59.6880 + 27.2586i 2.81060 + 1.28356i
\(452\) −17.3612 + 6.30354i −0.816603 + 0.296494i
\(453\) −6.76675 23.0454i −0.317930 1.08277i
\(454\) −5.63543 + 1.84840i −0.264484 + 0.0867499i
\(455\) −1.31876 2.88768i −0.0618243 0.135376i
\(456\) −19.5014 0.951974i −0.913236 0.0445803i
\(457\) 19.4119 12.4753i 0.908051 0.583569i −0.00111654 0.999999i \(-0.500355\pi\)
0.909168 + 0.416430i \(0.136719\pi\)
\(458\) 4.29485 + 1.11616i 0.200685 + 0.0521546i
\(459\) 3.99936i 0.186674i
\(460\) −1.54536 1.27521i −0.0720530 0.0594568i
\(461\) 18.6881i 0.870391i 0.900336 + 0.435195i \(0.143321\pi\)
−0.900336 + 0.435195i \(0.856679\pi\)
\(462\) −5.17880 + 19.9274i −0.240940 + 0.927108i
\(463\) 30.2126 19.4164i 1.40410 0.902358i 0.404173 0.914683i \(-0.367559\pi\)
0.999924 + 0.0123242i \(0.00392302\pi\)
\(464\) 1.08809 + 2.49690i 0.0505133 + 0.115916i
\(465\) 0.0254264 + 0.0556761i 0.00117912 + 0.00258192i
\(466\) −2.67402 8.15259i −0.123872 0.377661i
\(467\) −1.04167 3.54761i −0.0482029 0.164164i 0.931874 0.362782i \(-0.118173\pi\)
−0.980077 + 0.198618i \(0.936355\pi\)
\(468\) −4.11560 11.3352i −0.190244 0.523970i
\(469\) −8.58830 3.92214i −0.396571 0.181108i
\(470\) 0.161028 + 0.915335i 0.00742766 + 0.0422212i
\(471\) 12.2430 + 14.1291i 0.564126 + 0.651036i
\(472\) −10.9069 18.9427i −0.502029 0.871909i
\(473\) −31.8423 9.34975i −1.46411 0.429902i
\(474\) 3.35785 0.105272i 0.154231 0.00483532i
\(475\) 18.4973 28.7824i 0.848716 1.32063i
\(476\) −7.20980 + 18.8273i −0.330461 + 0.862947i
\(477\) −2.54593 0.366049i −0.116570 0.0167602i
\(478\) 0.542199 + 0.440844i 0.0247996 + 0.0201637i
\(479\) −5.37801 37.4049i −0.245728 1.70907i −0.622377 0.782718i \(-0.713833\pi\)
0.376649 0.926356i \(-0.377076\pi\)
\(480\) −1.13830 0.317111i −0.0519559 0.0144741i
\(481\) 8.45863 9.76178i 0.385680 0.445099i
\(482\) −21.1075 + 10.4508i −0.961418 + 0.476022i
\(483\) 2.95550 + 11.7209i 0.134480 + 0.533319i
\(484\) −27.1169 + 35.5733i −1.23259 + 1.61697i
\(485\) −0.973611 0.843639i −0.0442094 0.0383077i
\(486\) 1.21309 + 0.726926i 0.0550267 + 0.0329740i
\(487\) −2.92088 20.3152i −0.132358 0.920569i −0.942469 0.334293i \(-0.891503\pi\)
0.810111 0.586276i \(-0.199407\pi\)
\(488\) 8.29701 + 34.3773i 0.375588 + 1.55619i
\(489\) −0.257811 + 1.79311i −0.0116586 + 0.0810875i
\(490\) −0.129671 0.140499i −0.00585793 0.00634711i
\(491\) 2.28446 3.55468i 0.103096 0.160421i −0.785873 0.618388i \(-0.787786\pi\)
0.888969 + 0.457967i \(0.151422\pi\)
\(492\) 20.0349 10.7142i 0.903243 0.483034i
\(493\) 0.767226 2.61293i 0.0345541 0.117681i
\(494\) −54.2835 22.7627i −2.44233 1.02414i
\(495\) 0.790144 + 0.911875i 0.0355143 + 0.0409857i
\(496\) −0.0204353 + 1.17189i −0.000917571 + 0.0526193i
\(497\) 12.3701 27.0867i 0.554874 1.21500i
\(498\) 20.1113 + 2.25091i 0.901208 + 0.100866i
\(499\) 4.17031 + 14.2028i 0.186689 + 0.635803i 0.998643 + 0.0520817i \(0.0165856\pi\)
−0.811954 + 0.583721i \(0.801596\pi\)
\(500\) 2.96675 2.91546i 0.132677 0.130384i
\(501\) −3.78314 + 1.72770i −0.169018 + 0.0771881i
\(502\) −25.9542 + 17.8532i −1.15839 + 0.796825i
\(503\) 11.8887 7.64042i 0.530092 0.340669i −0.248061 0.968744i \(-0.579793\pi\)
0.778153 + 0.628075i \(0.216157\pi\)
\(504\) 4.40024 + 5.60894i 0.196002 + 0.249842i
\(505\) 2.60000 0.115698
\(506\) −5.85641 + 38.7362i −0.260349 + 1.72204i
\(507\) 23.3562i 1.03729i
\(508\) −3.54385 17.0031i −0.157233 0.754392i
\(509\) −8.86210 13.7897i −0.392806 0.611218i 0.587377 0.809314i \(-0.300161\pi\)
−0.980183 + 0.198096i \(0.936524\pi\)
\(510\) 0.669573 + 0.973398i 0.0296492 + 0.0431028i
\(511\) 11.9623 + 26.1938i 0.529182 + 1.15875i
\(512\) −17.0482 14.8781i −0.753432 0.657526i
\(513\) 6.62337 1.94480i 0.292429 0.0858649i
\(514\) −23.2400 2.60108i −1.02507 0.114729i
\(515\) 2.20180 + 1.00553i 0.0970231 + 0.0443090i
\(516\) −9.25847 + 6.80567i −0.407581 + 0.299603i
\(517\) 13.7340 11.9006i 0.604019 0.523386i
\(518\) −2.95285 + 7.04183i −0.129741 + 0.309400i
\(519\) −16.9466 4.97597i −0.743872 0.218421i
\(520\) −2.89943 2.06982i −0.127148 0.0907677i
\(521\) 3.96667 + 2.54922i 0.173783 + 0.111683i 0.624641 0.780912i \(-0.285245\pi\)
−0.450858 + 0.892596i \(0.648882\pi\)
\(522\) −0.653104 0.707644i −0.0285856 0.0309727i
\(523\) 23.8003 + 3.42197i 1.04071 + 0.149632i 0.641419 0.767191i \(-0.278346\pi\)
0.399295 + 0.916823i \(0.369255\pi\)
\(524\) 2.77174 12.2273i 0.121084 0.534151i
\(525\) −12.3652 + 1.77785i −0.539663 + 0.0775919i
\(526\) −5.93775 + 9.90887i −0.258898 + 0.432047i
\(527\) 0.767416 0.885646i 0.0334292 0.0385793i
\(528\) 6.12192 + 22.2792i 0.266422 + 0.969578i
\(529\) 7.91290 + 21.5960i 0.344039 + 0.938955i
\(530\) −0.680933 + 0.337147i −0.0295779 + 0.0146447i
\(531\) 5.84049 + 5.06082i 0.253456 + 0.219621i
\(532\) 34.6860 + 2.78493i 1.50383 + 0.120742i
\(533\) 67.7988 9.74799i 2.93669 0.422232i
\(534\) 14.9449 18.3809i 0.646730 0.795421i
\(535\) −0.147392 + 1.02513i −0.00637230 + 0.0443203i
\(536\) −10.5483 + 0.994710i −0.455616 + 0.0429649i
\(537\) 8.96792 + 5.76333i 0.386994 + 0.248706i
\(538\) −21.4939 + 0.673857i −0.926666 + 0.0290520i
\(539\) −1.05324 + 3.58701i −0.0453663 + 0.154503i
\(540\) 0.416953 0.0261697i 0.0179428 0.00112616i
\(541\) −14.6834 + 12.7232i −0.631288 + 0.547014i −0.910654 0.413171i \(-0.864421\pi\)
0.279366 + 0.960185i \(0.409876\pi\)
\(542\) 25.5756 4.49931i 1.09856 0.193262i
\(543\) 5.72375 12.5333i 0.245630 0.537854i
\(544\) 3.53075 + 22.3466i 0.151380 + 0.958101i
\(545\) 1.91933 0.563567i 0.0822152 0.0241406i
\(546\) 6.69836 + 20.4220i 0.286663 + 0.873982i
\(547\) 0.996632 0.455147i 0.0426129 0.0194607i −0.393995 0.919113i \(-0.628907\pi\)
0.436607 + 0.899652i \(0.356180\pi\)
\(548\) 0.546864 + 0.304829i 0.0233609 + 0.0130216i
\(549\) −6.75974 10.5184i −0.288499 0.448913i
\(550\) −39.1861 10.1838i −1.67090 0.434239i
\(551\) −4.70038 −0.200243
\(552\) 9.43728 + 9.74360i 0.401677 + 0.414715i
\(553\) −5.98744 −0.254612
\(554\) 22.7321 + 5.90770i 0.965796 + 0.250994i
\(555\) 0.241926 + 0.376443i 0.0102692 + 0.0159791i
\(556\) 5.45411 9.78468i 0.231306 0.414963i
\(557\) −3.16457 + 1.44521i −0.134087 + 0.0612356i −0.481329 0.876540i \(-0.659846\pi\)
0.347242 + 0.937776i \(0.387118\pi\)
\(558\) −0.129148 0.393748i −0.00546728 0.0166687i
\(559\) −33.2390 + 9.75985i −1.40586 + 0.412798i
\(560\) 2.01002 + 0.628463i 0.0849387 + 0.0265574i
\(561\) 9.59662 21.0137i 0.405170 0.887198i
\(562\) 20.1149 3.53866i 0.848496 0.149270i
\(563\) −16.2854 + 14.1113i −0.686346 + 0.594722i −0.926627 0.375981i \(-0.877306\pi\)
0.240281 + 0.970703i \(0.422760\pi\)
\(564\) −0.394148 6.27984i −0.0165966 0.264429i
\(565\) 0.543487 1.85095i 0.0228647 0.0778699i
\(566\) 8.20154 0.257127i 0.344736 0.0108079i
\(567\) −2.12036 1.36267i −0.0890467 0.0572268i
\(568\) −3.13722 33.2683i −0.131635 1.39591i
\(569\) −0.432272 + 3.00652i −0.0181218 + 0.126040i −0.996874 0.0790062i \(-0.974825\pi\)
0.978752 + 0.205046i \(0.0657344\pi\)
\(570\) 1.28645 1.58223i 0.0538836 0.0662721i
\(571\) −10.0516 + 1.44520i −0.420645 + 0.0604796i −0.349388 0.936978i \(-0.613610\pi\)
−0.0712576 + 0.997458i \(0.522701\pi\)
\(572\) −5.57481 + 69.4337i −0.233095 + 2.90317i
\(573\) 11.1372 + 9.65046i 0.465264 + 0.403154i
\(574\) −36.2879 + 17.9671i −1.51463 + 0.749931i
\(575\) −23.0484 + 5.81182i −0.961187 + 0.242370i
\(576\) 7.41992 + 2.99078i 0.309163 + 0.124616i
\(577\) −0.302321 + 0.348897i −0.0125858 + 0.0145248i −0.762008 0.647568i \(-0.775786\pi\)
0.749422 + 0.662093i \(0.230332\pi\)
\(578\) −0.730664 + 1.21932i −0.0303916 + 0.0507172i
\(579\) −18.8151 + 2.70520i −0.781928 + 0.112424i
\(580\) −0.277432 0.0628896i −0.0115197 0.00261135i
\(581\) −35.6999 5.13287i −1.48108 0.212947i
\(582\) 5.91538 + 6.40936i 0.245200 + 0.265677i
\(583\) 12.4986 + 8.03237i 0.517640 + 0.332667i
\(584\) 26.3004 + 18.7752i 1.08832 + 0.776922i
\(585\) 1.20849 + 0.354844i 0.0499648 + 0.0146710i
\(586\) 2.30441 5.49545i 0.0951941 0.227015i
\(587\) 29.9501 25.9519i 1.23617 1.07115i 0.241256 0.970462i \(-0.422441\pi\)
0.994918 0.100689i \(-0.0321047\pi\)
\(588\) 0.766652 + 1.04296i 0.0316162 + 0.0430109i
\(589\) −1.83990 0.840255i −0.0758118 0.0346221i
\(590\) 2.26879 + 0.253929i 0.0934047 + 0.0104541i
\(591\) −19.9673 + 5.86293i −0.821345 + 0.241169i
\(592\) 1.07141 + 8.50159i 0.0440346 + 0.349413i
\(593\) −5.40534 11.8360i −0.221971 0.486048i 0.765582 0.643339i \(-0.222451\pi\)
−0.987552 + 0.157291i \(0.949724\pi\)
\(594\) −4.62959 6.73031i −0.189954 0.276148i
\(595\) −1.13839 1.77138i −0.0466696 0.0726193i
\(596\) −4.32026 + 0.900441i −0.176965 + 0.0368835i
\(597\) 16.4909i 0.674928i
\(598\) 16.7181 + 37.3214i 0.683656 + 1.52619i
\(599\) 18.0460 0.737340 0.368670 0.929560i \(-0.379813\pi\)
0.368670 + 0.929560i \(0.379813\pi\)
\(600\) −11.0297 + 8.65282i −0.450284 + 0.353250i
\(601\) −0.411046 + 0.264163i −0.0167669 + 0.0107754i −0.548997 0.835824i \(-0.684990\pi\)
0.532231 + 0.846599i \(0.321354\pi\)
\(602\) 16.8728 11.6063i 0.687685 0.473039i
\(603\) 3.40741 1.55611i 0.138761 0.0633698i
\(604\) 33.6696 + 34.2619i 1.37000 + 1.39410i
\(605\) −1.31619 4.48253i −0.0535107 0.182241i
\(606\) −17.4934 1.95790i −0.710619 0.0795344i
\(607\) 3.73915 8.18759i 0.151767 0.332324i −0.818443 0.574587i \(-0.805163\pi\)
0.970211 + 0.242263i \(0.0778898\pi\)
\(608\) 35.2914 16.7139i 1.43126 0.677840i
\(609\) 1.12390 + 1.29705i 0.0455427 + 0.0525591i
\(610\) −3.40623 1.42833i −0.137914 0.0578315i
\(611\) 5.34440 18.2013i 0.216211 0.736347i
\(612\) −3.77203 7.05346i −0.152475 0.285119i
\(613\) −15.1375 + 23.5543i −0.611396 + 0.951351i 0.388161 + 0.921592i \(0.373110\pi\)
−0.999557 + 0.0297591i \(0.990526\pi\)
\(614\) −28.3537 30.7214i −1.14426 1.23982i
\(615\) −0.337705 + 2.34879i −0.0136176 + 0.0947122i
\(616\) −9.66115 40.0294i −0.389259 1.61283i
\(617\) 6.03774 + 41.9934i 0.243070 + 1.69059i 0.636532 + 0.771250i \(0.280368\pi\)
−0.393462 + 0.919341i \(0.628723\pi\)
\(618\) −14.0570 8.42348i −0.565457 0.338842i
\(619\) −13.1961 11.4345i −0.530395 0.459590i 0.348021 0.937487i \(-0.386854\pi\)
−0.878416 + 0.477897i \(0.841399\pi\)
\(620\) −0.0973546 0.0742119i −0.00390986 0.00298042i
\(621\) −4.28233 2.15909i −0.171844 0.0866413i
\(622\) 33.5473 16.6101i 1.34512 0.666004i
\(623\) −27.6490 + 31.9086i −1.10773 + 1.27839i
\(624\) 17.9494 + 16.1096i 0.718549 + 0.644901i
\(625\) −3.46500 24.0996i −0.138600 0.963983i
\(626\) −3.28524 2.67111i −0.131304 0.106759i
\(627\) −39.4675 5.67457i −1.57618 0.226621i
\(628\) −34.9183 13.3718i −1.39339 0.533591i
\(629\) 4.63192 7.20740i 0.184687 0.287378i
\(630\) −0.744209 + 0.0233318i −0.0296500 + 0.000929562i
\(631\) 38.7533 + 11.3790i 1.54274 + 0.452991i 0.938922 0.344129i \(-0.111826\pi\)
0.603822 + 0.797119i \(0.293644\pi\)
\(632\) −5.82277 + 3.35264i −0.231617 + 0.133361i
\(633\) 1.86114 + 2.14787i 0.0739735 + 0.0853700i
\(634\) −1.26721 7.20324i −0.0503274 0.286077i
\(635\) 1.65010 + 0.753575i 0.0654821 + 0.0299047i
\(636\) 4.83536 1.75563i 0.191734 0.0696153i
\(637\) 1.09944 + 3.74434i 0.0435613 + 0.148356i
\(638\) 1.73356 + 5.28530i 0.0686323 + 0.209247i
\(639\) 4.90784 + 10.7467i 0.194151 + 0.425131i
\(640\) 2.30664 0.514323i 0.0911780 0.0203304i
\(641\) 20.6635 13.2796i 0.816158 0.524513i −0.0646939 0.997905i \(-0.520607\pi\)
0.880852 + 0.473392i \(0.156971\pi\)
\(642\) 1.76365 6.78633i 0.0696057 0.267835i
\(643\) 11.8132i 0.465866i −0.972493 0.232933i \(-0.925168\pi\)
0.972493 0.232933i \(-0.0748323\pi\)
\(644\) −16.2671 17.8840i −0.641014 0.704729i
\(645\) 1.20013i 0.0472550i
\(646\) −37.7877 9.82038i −1.48674 0.386378i
\(647\) −15.6174 + 10.0367i −0.613985 + 0.394584i −0.810350 0.585947i \(-0.800723\pi\)
0.196364 + 0.980531i \(0.437086\pi\)
\(648\) −2.82506 0.137908i −0.110979 0.00541752i
\(649\) −18.5438 40.6054i −0.727910 1.59390i
\(650\) −40.1587 + 13.1719i −1.57515 + 0.516646i
\(651\) 0.208071 + 0.708624i 0.00815494 + 0.0277732i
\(652\) −1.23650 3.40558i −0.0484252 0.133373i
\(653\) 9.25563 + 4.22690i 0.362201 + 0.165411i 0.588199 0.808716i \(-0.299837\pi\)
−0.225998 + 0.974128i \(0.572564\pi\)
\(654\) −13.3381 + 2.34647i −0.521561 + 0.0917543i
\(655\) 0.857513 + 0.989622i 0.0335058 + 0.0386677i
\(656\) −25.2293 + 37.7922i −0.985039 + 1.47554i
\(657\) −10.9621 3.21876i −0.427671 0.125576i
\(658\) 0.351406 + 11.2087i 0.0136992 + 0.436961i
\(659\) −0.122174 + 0.190106i −0.00475921 + 0.00740547i −0.843625 0.536933i \(-0.819583\pi\)
0.838866 + 0.544338i \(0.183219\pi\)
\(660\) −2.25358 0.862994i −0.0877204 0.0335920i
\(661\) −14.2576 2.04994i −0.554558 0.0797334i −0.140662 0.990058i \(-0.544923\pi\)
−0.413896 + 0.910324i \(0.635832\pi\)
\(662\) 18.1599 22.3351i 0.705806 0.868079i
\(663\) −3.43186 23.8691i −0.133282 0.927000i
\(664\) −37.5922 + 14.9983i −1.45886 + 0.582047i
\(665\) −2.38001 + 2.74668i −0.0922930 + 0.106512i
\(666\) −1.34425 2.71498i −0.0520887 0.105203i
\(667\) 2.38361 + 2.23213i 0.0922939 + 0.0864283i
\(668\) 5.04263 6.61516i 0.195105 0.255948i
\(669\) 6.74146 + 5.84150i 0.260640 + 0.225846i
\(670\) 0.568801 0.949209i 0.0219747 0.0366712i
\(671\) 10.2782 + 71.4865i 0.396786 + 2.75970i
\(672\) −13.0506 5.74207i −0.503438 0.221505i
\(673\) −1.01054 + 7.02849i −0.0389536 + 0.270928i −0.999985 0.00551154i \(-0.998246\pi\)
0.961031 + 0.276440i \(0.0891547\pi\)
\(674\) 21.1026 19.4762i 0.812840 0.750193i
\(675\) 2.67961 4.16956i 0.103138 0.160486i
\(676\) 22.0286 + 41.1921i 0.847254 + 1.58431i
\(677\) 6.29145 21.4267i 0.241800 0.823495i −0.745755 0.666220i \(-0.767911\pi\)
0.987555 0.157275i \(-0.0502708\pi\)
\(678\) −5.05054 + 12.0443i −0.193965 + 0.462559i
\(679\) −10.1795 11.7478i −0.390654 0.450839i
\(680\) −2.09896 1.08522i −0.0804914 0.0416162i
\(681\) −1.74214 + 3.81475i −0.0667588 + 0.146181i
\(682\) −0.266236 + 2.37875i −0.0101947 + 0.0910872i
\(683\) −3.42492 11.6642i −0.131051 0.446318i 0.867656 0.497166i \(-0.165626\pi\)
−0.998706 + 0.0508475i \(0.983808\pi\)
\(684\) −9.84703 + 9.67682i −0.376511 + 0.370002i
\(685\) −0.0594811 + 0.0271641i −0.00227266 + 0.00103789i
\(686\) −15.4483 22.4582i −0.589820 0.857457i
\(687\) 2.63968 1.69642i 0.100710 0.0647225i
\(688\) 9.90985 20.7350i 0.377810 0.790515i
\(689\) 15.5088 0.590839
\(690\) −1.40374 + 0.191450i −0.0534396 + 0.00728837i
\(691\) 11.4682i 0.436270i 0.975919 + 0.218135i \(0.0699974\pi\)
−0.975919 + 0.218135i \(0.930003\pi\)
\(692\) 34.5809 7.20746i 1.31457 0.273987i
\(693\) 7.87113 + 12.2477i 0.299000 + 0.465252i
\(694\) 10.3776 7.13846i 0.393929 0.270972i
\(695\) 0.486030 + 1.06426i 0.0184362 + 0.0403696i
\(696\) 1.81927 + 0.632053i 0.0689591 + 0.0239579i
\(697\) 43.5921 12.7998i 1.65117 0.484827i
\(698\) 1.95254 17.4455i 0.0739048 0.660321i
\(699\) −5.51867 2.52029i −0.208735 0.0953262i
\(700\) 20.1311 14.7979i 0.760885 0.559307i
\(701\) 9.31667 8.07294i 0.351886 0.304911i −0.460924 0.887439i \(-0.652482\pi\)
0.812810 + 0.582529i \(0.197937\pi\)
\(702\) −7.86377 3.29751i −0.296799 0.124457i
\(703\) −14.1886 4.16616i −0.535134 0.157130i
\(704\) −31.8097 33.5187i −1.19887 1.26328i
\(705\) 0.552854 + 0.355298i 0.0208217 + 0.0133813i
\(706\) −5.00523 + 4.61947i −0.188374 + 0.173856i
\(707\) 31.0528 + 4.46472i 1.16786 + 0.167913i
\(708\) −15.0737 3.41699i −0.566505 0.128418i
\(709\) 14.9934 2.15572i 0.563088 0.0809598i 0.145108 0.989416i \(-0.453647\pi\)
0.417980 + 0.908456i \(0.362738\pi\)
\(710\) 2.99372 + 1.79394i 0.112352 + 0.0673255i
\(711\) 1.55564 1.79530i 0.0583409 0.0673290i
\(712\) −9.02143 + 46.5129i −0.338093 + 1.74315i
\(713\) 0.534012 + 1.29984i 0.0199989 + 0.0486793i
\(714\) 6.32545 + 12.7755i 0.236724 + 0.478110i
\(715\) −5.49825 4.76426i −0.205623 0.178173i
\(716\) −21.2520 1.70632i −0.794224 0.0637681i
\(717\) 0.489097 0.0703216i 0.0182657 0.00262621i
\(718\) −1.73177 1.40804i −0.0646291 0.0525477i
\(719\) 3.62904 25.2405i 0.135340 0.941313i −0.803093 0.595853i \(-0.796814\pi\)
0.938434 0.345460i \(-0.112277\pi\)
\(720\) −0.710677 + 0.439407i −0.0264854 + 0.0163757i
\(721\) 24.5703 + 15.7904i 0.915047 + 0.588065i
\(722\) 1.26969 + 40.4991i 0.0472530 + 1.50722i
\(723\) −4.69211 + 15.9799i −0.174502 + 0.594298i
\(724\) 1.72618 + 27.5027i 0.0641528 + 1.02213i
\(725\) −2.55057 + 2.21008i −0.0947259 + 0.0820804i
\(726\) 5.48009 + 31.1506i 0.203385 + 1.15611i
\(727\) 10.8370 23.7298i 0.401924 0.880090i −0.595148 0.803616i \(-0.702907\pi\)
0.997072 0.0764737i \(-0.0243661\pi\)
\(728\) −31.0747 29.6996i −1.15171 1.10074i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −3.20693 + 1.05186i −0.118694 + 0.0389312i
\(731\) −20.9013 + 9.54529i −0.773061 + 0.353045i
\(732\) 21.8423 + 12.1752i 0.807314 + 0.450007i
\(733\) 25.5647 + 39.7795i 0.944255 + 1.46929i 0.882011 + 0.471229i \(0.156189\pi\)
0.0622441 + 0.998061i \(0.480174\pi\)
\(734\) −3.18958 + 12.2731i −0.117729 + 0.453009i
\(735\) −0.135193 −0.00498669
\(736\) −25.8338 8.28343i −0.952246 0.305331i
\(737\) −21.6374 −0.797024
\(738\) 4.04089 15.5489i 0.148747 0.572362i
\(739\) −3.49616 5.44013i −0.128608 0.200119i 0.770978 0.636862i \(-0.219768\pi\)
−0.899586 + 0.436744i \(0.856132\pi\)
\(740\) −0.781717 0.435739i −0.0287365 0.0160181i
\(741\) −37.8610 + 17.2905i −1.39086 + 0.635184i
\(742\) −8.71161 + 2.85738i −0.319813 + 0.104898i
\(743\) 21.9447 6.44355i 0.805074 0.236391i 0.146797 0.989167i \(-0.453104\pi\)
0.658277 + 0.752776i \(0.271286\pi\)
\(744\) 0.599139 + 0.572626i 0.0219655 + 0.0209935i
\(745\) 0.191473 0.419267i 0.00701501 0.0153607i
\(746\) 0.849003 + 4.82601i 0.0310842 + 0.176693i
\(747\) 10.8145 9.37080i 0.395681 0.342860i
\(748\) 2.89416 + 46.1118i 0.105821 + 1.68602i
\(749\) −3.52072 + 11.9905i −0.128644 + 0.438122i
\(750\) −0.0921652 2.93977i −0.00336540 0.107345i
\(751\) 32.9771 + 21.1931i 1.20335 + 0.773346i 0.979533 0.201285i \(-0.0645116\pi\)
0.223818 + 0.974631i \(0.428148\pi\)
\(752\) 6.61802 + 10.7037i 0.241334 + 0.390323i
\(753\) −3.17007 + 22.0483i −0.115524 + 0.803485i
\(754\) 4.50511 + 3.66296i 0.164067 + 0.133397i
\(755\) −4.96605 + 0.714010i −0.180733 + 0.0259855i
\(756\) 5.02478 + 0.403438i 0.182749 + 0.0146729i
\(757\) 20.6418 + 17.8862i 0.750240 + 0.650087i 0.943617 0.331038i \(-0.107399\pi\)
−0.193378 + 0.981124i \(0.561944\pi\)
\(758\) −4.71412 9.52107i −0.171225 0.345821i
\(759\) 17.3196 + 21.6200i 0.628663 + 0.784758i
\(760\) −0.776562 + 4.00382i −0.0281689 + 0.145234i
\(761\) −11.6373 + 13.4302i −0.421852 + 0.486844i −0.926400 0.376540i \(-0.877114\pi\)
0.504548 + 0.863384i \(0.331659\pi\)
\(762\) −10.5348 6.31281i −0.381634 0.228689i
\(763\) 23.8911 3.43503i 0.864917 0.124356i
\(764\) −28.7440 6.51584i −1.03992 0.235735i
\(765\) 0.826910 + 0.118892i 0.0298970 + 0.00429854i
\(766\) 8.52732 7.87010i 0.308105 0.284358i
\(767\) −39.2002 25.1924i −1.41544 0.909646i
\(768\) −15.9069 + 1.72349i −0.573991 + 0.0621910i
\(769\) −3.69461 1.08484i −0.133231 0.0391202i 0.214437 0.976738i \(-0.431208\pi\)
−0.347668 + 0.937618i \(0.613026\pi\)
\(770\) 3.96626 + 1.66317i 0.142934 + 0.0599365i
\(771\) −12.4969 + 10.8286i −0.450064 + 0.389983i
\(772\) 30.6317 22.5166i 1.10246 0.810391i
\(773\) −35.4864 16.2061i −1.27636 0.582894i