Properties

Label 966.2.s.a.181.3
Level $966$
Weight $2$
Character 966.181
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.3
Character \(\chi\) \(=\) 966.181
Dual form 966.2.s.a.475.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.30557 + 1.50670i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.10508 - 1.60270i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.30557 + 1.50670i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.10508 - 1.60270i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(1.67717 + 1.07785i) q^{10} +(-5.59475 - 0.804403i) q^{11} +(0.989821 + 0.142315i) q^{12} +(2.36808 - 3.68480i) q^{13} +(-1.88597 - 1.85556i) q^{14} +(1.81349 - 0.828195i) q^{15} +(0.841254 - 0.540641i) q^{16} +(6.51798 + 1.91385i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-0.721432 + 0.211831i) q^{19} +(0.828195 - 1.81349i) q^{20} +(-2.58063 + 0.583386i) q^{21} +5.65228i q^{22} +(-4.47709 - 1.71920i) q^{23} -1.00000i q^{24} +(0.145921 + 1.01490i) q^{25} +(-3.98430 - 1.81957i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-1.56827 + 2.13085i) q^{28} +(-8.03505 - 2.35930i) q^{29} +(-1.07785 - 1.67717i) q^{30} +(-6.73834 + 3.07730i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(4.75500 + 3.05585i) q^{33} +(0.966766 - 6.72401i) q^{34} +(-0.333525 + 5.26416i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(1.80754 - 1.56625i) q^{37} +(0.312346 + 0.683942i) q^{38} +(-3.68480 + 2.36808i) q^{39} +(-1.91290 - 0.561678i) q^{40} +(-8.72376 - 7.55918i) q^{41} +(0.944710 + 2.47134i) q^{42} +(-8.11086 - 3.70410i) q^{43} +(5.59475 - 0.804403i) q^{44} -1.99366 q^{45} +(-1.06454 + 4.67619i) q^{46} +8.92364i q^{47} +(-0.989821 + 0.142315i) q^{48} +(1.86271 - 6.74762i) q^{49} +(0.983803 - 0.288871i) q^{50} +(-5.13392 - 4.44857i) q^{51} +(-1.23402 + 4.20270i) q^{52} +(2.91021 + 4.52838i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(8.51632 - 7.37943i) q^{55} +(2.33235 + 1.24906i) q^{56} +(0.744235 + 0.107005i) q^{57} +(-1.19178 + 8.28903i) q^{58} +(-5.04989 + 7.85779i) q^{59} +(-1.50670 + 1.30557i) q^{60} +(-2.86290 - 6.26888i) q^{61} +(4.00494 + 6.23181i) q^{62} +(2.58977 + 0.541367i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(2.46022 + 8.37874i) q^{65} +(2.34804 - 5.14150i) q^{66} +(-6.35909 + 0.914298i) q^{67} -6.79315 q^{68} +(3.35833 + 3.42369i) q^{69} +(5.25805 - 0.419038i) q^{70} +(-0.385612 - 2.68199i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(-0.959829 - 3.26888i) q^{73} +(-1.80754 - 1.56625i) q^{74} +(0.288871 - 0.983803i) q^{75} +(0.632529 - 0.406502i) q^{76} +(-13.0666 + 7.27337i) q^{77} +(2.86837 + 3.31028i) q^{78} +(-9.34521 + 14.5414i) q^{79} +(-0.283727 + 1.97336i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-6.24072 + 9.71075i) q^{82} +(2.98441 + 3.44419i) q^{83} +(2.31174 - 1.28680i) q^{84} +(-11.3933 + 7.32201i) q^{85} +(-2.51211 + 8.55545i) q^{86} +(6.32885 + 5.48398i) q^{87} +(-1.59243 - 5.42332i) q^{88} +(2.71978 - 5.95548i) q^{89} +(0.283727 + 1.97336i) q^{90} +(-0.920640 - 11.5521i) q^{91} +(4.78009 + 0.388216i) q^{92} +7.40777 q^{93} +(8.83281 - 1.26997i) q^{94} +(0.622710 - 1.36354i) q^{95} +(0.281733 + 0.959493i) q^{96} +(2.35988 - 2.72345i) q^{97} +(-6.94403 - 0.883461i) q^{98} +(-3.05585 - 4.75500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.30557 + 1.50670i −0.583867 + 0.673819i −0.968432 0.249279i \(-0.919806\pi\)
0.384564 + 0.923098i \(0.374352\pi\)
\(6\) −0.281733 + 0.959493i −0.115017 + 0.391711i
\(7\) 2.10508 1.60270i 0.795645 0.605764i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 1.67717 + 1.07785i 0.530368 + 0.340847i
\(11\) −5.59475 0.804403i −1.68688 0.242537i −0.768959 0.639299i \(-0.779225\pi\)
−0.917922 + 0.396762i \(0.870134\pi\)
\(12\) 0.989821 + 0.142315i 0.285737 + 0.0410828i
\(13\) 2.36808 3.68480i 0.656786 1.02198i −0.339886 0.940467i \(-0.610389\pi\)
0.996672 0.0815125i \(-0.0259751\pi\)
\(14\) −1.88597 1.85556i −0.504047 0.495920i
\(15\) 1.81349 0.828195i 0.468242 0.213839i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 6.51798 + 1.91385i 1.58084 + 0.464177i 0.950134 0.311842i \(-0.100946\pi\)
0.630709 + 0.776019i \(0.282764\pi\)
\(18\) 0.654861 0.755750i 0.154352 0.178132i
\(19\) −0.721432 + 0.211831i −0.165508 + 0.0485975i −0.363437 0.931619i \(-0.618397\pi\)
0.197929 + 0.980216i \(0.436579\pi\)
\(20\) 0.828195 1.81349i 0.185190 0.405509i
\(21\) −2.58063 + 0.583386i −0.563140 + 0.127305i
\(22\) 5.65228i 1.20507i
\(23\) −4.47709 1.71920i −0.933538 0.358478i
\(24\) 1.00000i 0.204124i
\(25\) 0.145921 + 1.01490i 0.0291841 + 0.202980i
\(26\) −3.98430 1.81957i −0.781386 0.356847i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −1.56827 + 2.13085i −0.296376 + 0.402692i
\(29\) −8.03505 2.35930i −1.49207 0.438112i −0.568870 0.822428i \(-0.692619\pi\)
−0.923202 + 0.384316i \(0.874437\pi\)
\(30\) −1.07785 1.67717i −0.196788 0.306208i
\(31\) −6.73834 + 3.07730i −1.21024 + 0.552699i −0.915283 0.402811i \(-0.868033\pi\)
−0.294959 + 0.955510i \(0.595306\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 4.75500 + 3.05585i 0.827739 + 0.531956i
\(34\) 0.966766 6.72401i 0.165799 1.15316i
\(35\) −0.333525 + 5.26416i −0.0563760 + 0.889806i
\(36\) −0.841254 0.540641i −0.140209 0.0901068i
\(37\) 1.80754 1.56625i 0.297158 0.257489i −0.493501 0.869745i \(-0.664283\pi\)
0.790660 + 0.612256i \(0.209738\pi\)
\(38\) 0.312346 + 0.683942i 0.0506692 + 0.110950i
\(39\) −3.68480 + 2.36808i −0.590040 + 0.379196i
\(40\) −1.91290 0.561678i −0.302456 0.0888091i
\(41\) −8.72376 7.55918i −1.36242 1.18055i −0.964796 0.262998i \(-0.915289\pi\)
−0.397626 0.917548i \(-0.630166\pi\)
\(42\) 0.944710 + 2.47134i 0.145772 + 0.381336i
\(43\) −8.11086 3.70410i −1.23689 0.564871i −0.313816 0.949484i \(-0.601608\pi\)
−0.923078 + 0.384613i \(0.874335\pi\)
\(44\) 5.59475 0.804403i 0.843440 0.121268i
\(45\) −1.99366 −0.297197
\(46\) −1.06454 + 4.67619i −0.156958 + 0.689467i
\(47\) 8.92364i 1.30165i 0.759229 + 0.650823i \(0.225576\pi\)
−0.759229 + 0.650823i \(0.774424\pi\)
\(48\) −0.989821 + 0.142315i −0.142868 + 0.0205414i
\(49\) 1.86271 6.74762i 0.266101 0.963945i
\(50\) 0.983803 0.288871i 0.139131 0.0408525i
\(51\) −5.13392 4.44857i −0.718893 0.622924i
\(52\) −1.23402 + 4.20270i −0.171128 + 0.582810i
\(53\) 2.91021 + 4.52838i 0.399748 + 0.622020i 0.981526 0.191327i \(-0.0612791\pi\)
−0.581778 + 0.813348i \(0.697643\pi\)
\(54\) −0.909632 + 0.415415i −0.123785 + 0.0565308i
\(55\) 8.51632 7.37943i 1.14834 0.995042i
\(56\) 2.33235 + 1.24906i 0.311673 + 0.166913i
\(57\) 0.744235 + 0.107005i 0.0985764 + 0.0141731i
\(58\) −1.19178 + 8.28903i −0.156489 + 1.08840i
\(59\) −5.04989 + 7.85779i −0.657440 + 1.02300i 0.339170 + 0.940725i \(0.389854\pi\)
−0.996610 + 0.0822715i \(0.973783\pi\)
\(60\) −1.50670 + 1.30557i −0.194515 + 0.168548i
\(61\) −2.86290 6.26888i −0.366557 0.802648i −0.999593 0.0285256i \(-0.990919\pi\)
0.633036 0.774122i \(-0.281808\pi\)
\(62\) 4.00494 + 6.23181i 0.508628 + 0.791441i
\(63\) 2.58977 + 0.541367i 0.326281 + 0.0682058i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 2.46022 + 8.37874i 0.305153 + 1.03925i
\(66\) 2.34804 5.14150i 0.289024 0.632874i
\(67\) −6.35909 + 0.914298i −0.776886 + 0.111699i −0.519341 0.854567i \(-0.673823\pi\)
−0.257545 + 0.966266i \(0.582913\pi\)
\(68\) −6.79315 −0.823791
\(69\) 3.35833 + 3.42369i 0.404295 + 0.412164i
\(70\) 5.25805 0.419038i 0.628457 0.0500846i
\(71\) −0.385612 2.68199i −0.0457638 0.318294i −0.999825 0.0186837i \(-0.994052\pi\)
0.954062 0.299610i \(-0.0968566\pi\)
\(72\) −0.415415 + 0.909632i −0.0489571 + 0.107201i
\(73\) −0.959829 3.26888i −0.112339 0.382593i 0.884060 0.467373i \(-0.154799\pi\)
−0.996400 + 0.0847798i \(0.972981\pi\)
\(74\) −1.80754 1.56625i −0.210123 0.182072i
\(75\) 0.288871 0.983803i 0.0333559 0.113600i
\(76\) 0.632529 0.406502i 0.0725560 0.0466289i
\(77\) −13.0666 + 7.27337i −1.48908 + 0.828877i
\(78\) 2.86837 + 3.31028i 0.324779 + 0.374815i
\(79\) −9.34521 + 14.5414i −1.05142 + 1.63604i −0.329362 + 0.944204i \(0.606834\pi\)
−0.722056 + 0.691835i \(0.756803\pi\)
\(80\) −0.283727 + 1.97336i −0.0317216 + 0.220629i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −6.24072 + 9.71075i −0.689172 + 1.07237i
\(83\) 2.98441 + 3.44419i 0.327581 + 0.378049i 0.895520 0.445022i \(-0.146804\pi\)
−0.567938 + 0.823071i \(0.692259\pi\)
\(84\) 2.31174 1.28680i 0.252231 0.140402i
\(85\) −11.3933 + 7.32201i −1.23577 + 0.794184i
\(86\) −2.51211 + 8.55545i −0.270887 + 0.922558i
\(87\) 6.32885 + 5.48398i 0.678524 + 0.587944i
\(88\) −1.59243 5.42332i −0.169754 0.578128i
\(89\) 2.71978 5.95548i 0.288296 0.631279i −0.708965 0.705243i \(-0.750838\pi\)
0.997261 + 0.0739639i \(0.0235650\pi\)
\(90\) 0.283727 + 1.97336i 0.0299074 + 0.208011i
\(91\) −0.920640 11.5521i −0.0965093 1.21099i
\(92\) 4.78009 + 0.388216i 0.498359 + 0.0404743i
\(93\) 7.40777 0.768150
\(94\) 8.83281 1.26997i 0.911035 0.130987i
\(95\) 0.622710 1.36354i 0.0638887 0.139897i
\(96\) 0.281733 + 0.959493i 0.0287542 + 0.0979278i
\(97\) 2.35988 2.72345i 0.239610 0.276524i −0.623190 0.782071i \(-0.714164\pi\)
0.862799 + 0.505546i \(0.168709\pi\)
\(98\) −6.94403 0.883461i −0.701453 0.0892431i
\(99\) −3.05585 4.75500i −0.307125 0.477896i
\(100\) −0.425940 0.932679i −0.0425940 0.0932679i
\(101\) 2.44827 2.12144i 0.243612 0.211091i −0.524493 0.851415i \(-0.675745\pi\)
0.768105 + 0.640323i \(0.221200\pi\)
\(102\) −3.67266 + 5.71476i −0.363647 + 0.565846i
\(103\) 0.524155 3.64558i 0.0516465 0.359210i −0.947567 0.319557i \(-0.896466\pi\)
0.999214 0.0396524i \(-0.0126251\pi\)
\(104\) 4.33554 + 0.623357i 0.425135 + 0.0611252i
\(105\) 2.49020 4.64990i 0.243018 0.453784i
\(106\) 4.06812 3.52504i 0.395131 0.342383i
\(107\) 2.72713 1.24544i 0.263642 0.120401i −0.279209 0.960230i \(-0.590072\pi\)
0.542851 + 0.839829i \(0.317345\pi\)
\(108\) 0.540641 + 0.841254i 0.0520232 + 0.0809497i
\(109\) 0.481994 1.64152i 0.0461667 0.157229i −0.933184 0.359400i \(-0.882981\pi\)
0.979350 + 0.202171i \(0.0647996\pi\)
\(110\) −8.51632 7.37943i −0.811999 0.703601i
\(111\) −2.29484 + 0.673826i −0.217817 + 0.0639567i
\(112\) 0.904419 2.48637i 0.0854596 0.234940i
\(113\) −1.53569 + 0.220799i −0.144466 + 0.0207711i −0.214168 0.976797i \(-0.568704\pi\)
0.0697025 + 0.997568i \(0.477795\pi\)
\(114\) 0.751889i 0.0704208i
\(115\) 8.43547 4.50113i 0.786611 0.419732i
\(116\) 8.37427 0.777531
\(117\) 4.33554 0.623357i 0.400821 0.0576294i
\(118\) 8.49648 + 3.88021i 0.782164 + 0.357202i
\(119\) 16.7882 6.41756i 1.53897 0.588297i
\(120\) 1.50670 + 1.30557i 0.137543 + 0.119181i
\(121\) 20.0997 + 5.90181i 1.82725 + 0.536528i
\(122\) −5.79764 + 3.72592i −0.524894 + 0.337329i
\(123\) 4.79521 + 10.5001i 0.432370 + 0.946758i
\(124\) 5.59842 4.85106i 0.502753 0.435638i
\(125\) −10.1055 6.49442i −0.903865 0.580879i
\(126\) 0.167293 2.64046i 0.0149037 0.235231i
\(127\) 1.51306 10.5236i 0.134262 0.933816i −0.805648 0.592395i \(-0.798183\pi\)
0.939910 0.341421i \(-0.110908\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 5.83916 + 6.73874i 0.514109 + 0.593313i
\(130\) 7.94333 3.62760i 0.696676 0.318161i
\(131\) −2.43810 3.79376i −0.213018 0.331463i 0.718258 0.695777i \(-0.244940\pi\)
−0.931276 + 0.364314i \(0.881303\pi\)
\(132\) −5.42332 1.59243i −0.472040 0.138603i
\(133\) −1.17917 + 1.60216i −0.102247 + 0.138925i
\(134\) 1.80998 + 6.16424i 0.156359 + 0.532509i
\(135\) 1.81349 + 0.828195i 0.156081 + 0.0712796i
\(136\) 0.966766 + 6.72401i 0.0828995 + 0.576579i
\(137\) 6.63603i 0.566954i −0.958979 0.283477i \(-0.908512\pi\)
0.958979 0.283477i \(-0.0914880\pi\)
\(138\) 2.91090 3.81138i 0.247792 0.324447i
\(139\) 0.321449i 0.0272649i 0.999907 + 0.0136325i \(0.00433948\pi\)
−0.999907 + 0.0136325i \(0.995661\pi\)
\(140\) −1.16307 5.14489i −0.0982974 0.434823i
\(141\) 3.70701 8.11723i 0.312187 0.683594i
\(142\) −2.59982 + 0.763375i −0.218172 + 0.0640610i
\(143\) −16.2129 + 18.7106i −1.35579 + 1.56466i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) 14.0451 9.02622i 1.16638 0.749587i
\(146\) −3.09901 + 1.41527i −0.256476 + 0.117129i
\(147\) −4.49744 + 5.36405i −0.370942 + 0.442419i
\(148\) −1.29306 + 2.01205i −0.106289 + 0.165389i
\(149\) −17.3867 2.49983i −1.42437 0.204794i −0.613353 0.789809i \(-0.710179\pi\)
−0.811022 + 0.585015i \(0.801089\pi\)
\(150\) −1.01490 0.145921i −0.0828662 0.0119144i
\(151\) 8.49205 + 5.45751i 0.691073 + 0.444126i 0.838467 0.544952i \(-0.183452\pi\)
−0.147394 + 0.989078i \(0.547089\pi\)
\(152\) −0.492382 0.568239i −0.0399375 0.0460903i
\(153\) 2.82198 + 6.17927i 0.228143 + 0.499564i
\(154\) 9.05891 + 11.8985i 0.729988 + 0.958808i
\(155\) 4.16078 14.1703i 0.334202 1.13819i
\(156\) 2.86837 3.31028i 0.229654 0.265034i
\(157\) 9.19179 2.69895i 0.733585 0.215400i 0.106458 0.994317i \(-0.466049\pi\)
0.627127 + 0.778917i \(0.284231\pi\)
\(158\) 15.7234 + 7.18063i 1.25088 + 0.571260i
\(159\) −0.766065 5.32810i −0.0607529 0.422546i
\(160\) 1.99366 0.157612
\(161\) −12.1800 + 3.55639i −0.959917 + 0.280283i
\(162\) 1.00000 0.0785674
\(163\) −1.52676 10.6188i −0.119585 0.831732i −0.958014 0.286721i \(-0.907435\pi\)
0.838429 0.545011i \(-0.183474\pi\)
\(164\) 10.5001 + 4.79521i 0.819916 + 0.374443i
\(165\) −10.8122 + 3.17476i −0.841732 + 0.247155i
\(166\) 2.98441 3.44419i 0.231635 0.267321i
\(167\) 3.30370 11.2514i 0.255648 0.870658i −0.727229 0.686395i \(-0.759192\pi\)
0.982877 0.184263i \(-0.0589897\pi\)
\(168\) −1.60270 2.10508i −0.123651 0.162410i
\(169\) −2.56956 5.62655i −0.197658 0.432811i
\(170\) 8.86892 + 10.2353i 0.680215 + 0.785010i
\(171\) −0.632529 0.406502i −0.0483707 0.0310860i
\(172\) 8.82588 + 1.26897i 0.672967 + 0.0967580i
\(173\) −7.56161 1.08719i −0.574898 0.0826579i −0.151268 0.988493i \(-0.548336\pi\)
−0.423631 + 0.905835i \(0.639245\pi\)
\(174\) 4.52747 7.04488i 0.343227 0.534071i
\(175\) 1.93375 + 1.90258i 0.146178 + 0.143821i
\(176\) −5.14150 + 2.34804i −0.387555 + 0.176990i
\(177\) 7.85779 5.04989i 0.590627 0.379573i
\(178\) −6.28193 1.84454i −0.470850 0.138254i
\(179\) −12.6908 + 14.6459i −0.948553 + 1.09469i 0.0468488 + 0.998902i \(0.485082\pi\)
−0.995402 + 0.0957866i \(0.969463\pi\)
\(180\) 1.91290 0.561678i 0.142579 0.0418650i
\(181\) 1.79138 3.92257i 0.133152 0.291562i −0.831298 0.555826i \(-0.812402\pi\)
0.964450 + 0.264264i \(0.0851292\pi\)
\(182\) −11.3035 + 2.55531i −0.837871 + 0.189412i
\(183\) 6.89167i 0.509447i
\(184\) −0.296014 4.78669i −0.0218224 0.352879i
\(185\) 4.76827i 0.350570i
\(186\) −1.05424 7.33237i −0.0773003 0.537635i
\(187\) −34.9270 15.9506i −2.55411 1.16642i
\(188\) −2.51408 8.56217i −0.183358 0.624460i
\(189\) −2.13085 1.56827i −0.154996 0.114075i
\(190\) −1.43829 0.422319i −0.104344 0.0306382i
\(191\) −11.8527 18.4432i −0.857635 1.33451i −0.941147 0.337999i \(-0.890250\pi\)
0.0835119 0.996507i \(-0.473386\pi\)
\(192\) 0.909632 0.415415i 0.0656470 0.0299800i
\(193\) −7.87126 9.08392i −0.566586 0.653875i 0.398080 0.917351i \(-0.369677\pi\)
−0.964666 + 0.263476i \(0.915131\pi\)
\(194\) −3.03158 1.94828i −0.217654 0.139878i
\(195\) 1.24276 8.64358i 0.0889959 0.618980i
\(196\) 0.113769 + 6.99908i 0.00812636 + 0.499934i
\(197\) 11.3599 + 7.30059i 0.809363 + 0.520146i 0.878659 0.477450i \(-0.158439\pi\)
−0.0692962 + 0.997596i \(0.522075\pi\)
\(198\) −4.27171 + 3.70146i −0.303577 + 0.263051i
\(199\) 3.32999 + 7.29166i 0.236057 + 0.516892i 0.990173 0.139849i \(-0.0446617\pi\)
−0.754116 + 0.656741i \(0.771934\pi\)
\(200\) −0.862568 + 0.554339i −0.0609928 + 0.0391977i
\(201\) 6.16424 + 1.80998i 0.434792 + 0.127666i
\(202\) −2.44827 2.12144i −0.172260 0.149264i
\(203\) −20.6957 + 7.91126i −1.45255 + 0.555261i
\(204\) 6.17927 + 2.82198i 0.432635 + 0.197578i
\(205\) 22.7789 3.27511i 1.59095 0.228744i
\(206\) −3.68307 −0.256611
\(207\) −1.63259 4.50940i −0.113473 0.313425i
\(208\) 4.38013i 0.303707i
\(209\) 4.20663 0.604822i 0.290978 0.0418364i
\(210\) −4.95696 1.80310i −0.342063 0.124426i
\(211\) 6.99203 2.05305i 0.481351 0.141337i −0.0320498 0.999486i \(-0.510204\pi\)
0.513401 + 0.858149i \(0.328385\pi\)
\(212\) −4.06812 3.52504i −0.279400 0.242101i
\(213\) −0.763375 + 2.59982i −0.0523056 + 0.178136i
\(214\) −1.62087 2.52213i −0.110801 0.172409i
\(215\) 16.1703 7.38471i 1.10280 0.503633i
\(216\) 0.755750 0.654861i 0.0514222 0.0445576i
\(217\) −9.25275 + 17.2775i −0.628118 + 1.17287i
\(218\) −1.69341 0.243475i −0.114692 0.0164902i
\(219\) −0.484850 + 3.37220i −0.0327631 + 0.227872i
\(220\) −6.09232 + 9.47984i −0.410744 + 0.639130i
\(221\) 22.4872 19.4853i 1.51266 1.31072i
\(222\) 0.993557 + 2.17559i 0.0666832 + 0.146016i
\(223\) 7.29450 + 11.3505i 0.488476 + 0.760083i 0.994755 0.102286i \(-0.0326158\pi\)
−0.506279 + 0.862370i \(0.668979\pi\)
\(224\) −2.58977 0.541367i −0.173036 0.0361716i
\(225\) −0.671453 + 0.774898i −0.0447635 + 0.0516598i
\(226\) 0.437104 + 1.48864i 0.0290757 + 0.0990228i
\(227\) 4.39638 9.62674i 0.291798 0.638949i −0.705785 0.708426i \(-0.749406\pi\)
0.997584 + 0.0694766i \(0.0221329\pi\)
\(228\) −0.744235 + 0.107005i −0.0492882 + 0.00708657i
\(229\) −11.3543 −0.750312 −0.375156 0.926962i \(-0.622411\pi\)
−0.375156 + 0.926962i \(0.622411\pi\)
\(230\) −5.65580 7.70903i −0.372933 0.508318i
\(231\) 14.9073 1.18803i 0.980826 0.0781666i
\(232\) −1.19178 8.28903i −0.0782444 0.544201i
\(233\) 5.70870 12.5003i 0.373989 0.818922i −0.625269 0.780409i \(-0.715011\pi\)
0.999258 0.0385128i \(-0.0122620\pi\)
\(234\) −1.23402 4.20270i −0.0806707 0.274739i
\(235\) −13.4453 11.6504i −0.877074 0.759989i
\(236\) 2.63154 8.96221i 0.171299 0.583390i
\(237\) 14.5414 9.34521i 0.944567 0.607036i
\(238\) −8.74145 15.7040i −0.566624 1.01794i
\(239\) −0.227837 0.262937i −0.0147375 0.0170080i 0.748333 0.663323i \(-0.230855\pi\)
−0.763070 + 0.646315i \(0.776309\pi\)
\(240\) 1.07785 1.67717i 0.0695750 0.108261i
\(241\) −2.14494 + 14.9184i −0.138168 + 0.960978i 0.796293 + 0.604912i \(0.206792\pi\)
−0.934461 + 0.356067i \(0.884118\pi\)
\(242\) 2.98125 20.7351i 0.191642 1.33290i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 4.51308 + 5.20837i 0.288920 + 0.333432i
\(245\) 7.73478 + 11.6160i 0.494157 + 0.742120i
\(246\) 9.71075 6.24072i 0.619135 0.397894i
\(247\) −0.927849 + 3.15996i −0.0590376 + 0.201064i
\(248\) −5.59842 4.85106i −0.355500 0.308042i
\(249\) −1.28394 4.37271i −0.0813667 0.277110i
\(250\) −4.99015 + 10.9269i −0.315605 + 0.691078i
\(251\) −3.24222 22.5501i −0.204647 1.42335i −0.790266 0.612764i \(-0.790057\pi\)
0.585619 0.810587i \(-0.300852\pi\)
\(252\) −2.63739 + 0.210186i −0.166140 + 0.0132405i
\(253\) 23.6653 + 13.2199i 1.48782 + 0.831126i
\(254\) −10.6318 −0.667098
\(255\) 13.4054 1.92740i 0.839476 0.120698i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 8.21357 + 27.9728i 0.512348 + 1.74490i 0.655498 + 0.755197i \(0.272459\pi\)
−0.143149 + 0.989701i \(0.545723\pi\)
\(258\) 5.83916 6.73874i 0.363530 0.419536i
\(259\) 1.29480 6.19402i 0.0804549 0.384878i
\(260\) −4.72113 7.34622i −0.292792 0.455593i
\(261\) −3.47880 7.61750i −0.215332 0.471512i
\(262\) −3.40817 + 2.95320i −0.210558 + 0.182449i
\(263\) 13.6196 21.1926i 0.839823 1.30679i −0.109977 0.993934i \(-0.535078\pi\)
0.949800 0.312856i \(-0.101286\pi\)
\(264\) −0.804403 + 5.59475i −0.0495076 + 0.344333i
\(265\) −10.6224 1.52727i −0.652529 0.0938195i
\(266\) 1.75367 + 0.939154i 0.107524 + 0.0575833i
\(267\) −4.94799 + 4.28746i −0.302812 + 0.262388i
\(268\) 5.84391 2.66882i 0.356974 0.163024i
\(269\) 14.7559 + 22.9606i 0.899681 + 1.39993i 0.916483 + 0.400072i \(0.131015\pi\)
−0.0168023 + 0.999859i \(0.505349\pi\)
\(270\) 0.561678 1.91290i 0.0341826 0.116415i
\(271\) 22.1386 + 19.1832i 1.34482 + 1.16529i 0.971350 + 0.237653i \(0.0763780\pi\)
0.373471 + 0.927642i \(0.378167\pi\)
\(272\) 6.51798 1.91385i 0.395211 0.116044i
\(273\) −3.96147 + 10.8906i −0.239759 + 0.659130i
\(274\) −6.56848 + 0.944405i −0.396816 + 0.0570536i
\(275\) 5.79549i 0.349481i
\(276\) −4.18685 2.33886i −0.252019 0.140783i
\(277\) −26.5187 −1.59336 −0.796678 0.604404i \(-0.793411\pi\)
−0.796678 + 0.604404i \(0.793411\pi\)
\(278\) 0.318177 0.0457469i 0.0190830 0.00274372i
\(279\) −6.73834 3.07730i −0.403414 0.184233i
\(280\) −4.92700 + 1.88343i −0.294445 + 0.112556i
\(281\) 16.4393 + 14.2447i 0.980686 + 0.849770i 0.988656 0.150199i \(-0.0479913\pi\)
−0.00796935 + 0.999968i \(0.502537\pi\)
\(282\) −8.56217 2.51408i −0.509870 0.149711i
\(283\) −1.68007 + 1.07972i −0.0998698 + 0.0641824i −0.589622 0.807679i \(-0.700723\pi\)
0.489753 + 0.871861i \(0.337087\pi\)
\(284\) 1.12560 + 2.46471i 0.0667919 + 0.146254i
\(285\) −1.13287 + 0.981641i −0.0671057 + 0.0581474i
\(286\) 20.8275 + 13.3850i 1.23156 + 0.791473i
\(287\) −30.4793 1.93110i −1.79914 0.113989i
\(288\) 0.142315 0.989821i 0.00838598 0.0583258i
\(289\) 24.5200 + 15.7580i 1.44235 + 0.926942i
\(290\) −10.9332 12.6175i −0.642018 0.740928i
\(291\) −3.27799 + 1.49701i −0.192159 + 0.0877561i
\(292\) 1.84190 + 2.86605i 0.107789 + 0.167723i
\(293\) 18.7140 + 5.49492i 1.09328 + 0.321017i 0.778180 0.628041i \(-0.216143\pi\)
0.315102 + 0.949058i \(0.397961\pi\)
\(294\) 5.94951 + 3.68828i 0.346982 + 0.215105i
\(295\) −5.24639 17.8676i −0.305457 1.04029i
\(296\) 2.17559 + 0.993557i 0.126453 + 0.0577494i
\(297\) 0.804403 + 5.59475i 0.0466762 + 0.324640i
\(298\) 17.5655i 1.01754i
\(299\) −16.9370 + 12.4260i −0.979492 + 0.718614i
\(300\) 1.02534i 0.0591978i
\(301\) −23.0106 + 5.20184i −1.32631 + 0.299829i
\(302\) 4.19341 9.18230i 0.241304 0.528382i
\(303\) −3.10831 + 0.912682i −0.178568 + 0.0524322i
\(304\) −0.492382 + 0.568239i −0.0282401 + 0.0325908i
\(305\) 13.1831 + 3.87090i 0.754860 + 0.221647i
\(306\) 5.71476 3.67266i 0.326691 0.209952i
\(307\) 13.5705 6.19744i 0.774510 0.353707i 0.0113660 0.999935i \(-0.496382\pi\)
0.763144 + 0.646229i \(0.223655\pi\)
\(308\) 10.4882 10.6600i 0.597619 0.607412i
\(309\) −1.99122 + 3.09839i −0.113276 + 0.176261i
\(310\) −14.6182 2.10178i −0.830259 0.119373i
\(311\) −2.61272 0.375653i −0.148154 0.0213013i 0.0678388 0.997696i \(-0.478390\pi\)
−0.215993 + 0.976395i \(0.569299\pi\)
\(312\) −3.68480 2.36808i −0.208611 0.134066i
\(313\) 3.10213 + 3.58005i 0.175343 + 0.202356i 0.836618 0.547787i \(-0.184530\pi\)
−0.661275 + 0.750144i \(0.729984\pi\)
\(314\) −3.97961 8.71413i −0.224582 0.491767i
\(315\) −4.19680 + 3.19523i −0.236463 + 0.180031i
\(316\) 4.86987 16.5852i 0.273951 0.932993i
\(317\) −12.4747 + 14.3966i −0.700648 + 0.808591i −0.988840 0.148982i \(-0.952400\pi\)
0.288192 + 0.957573i \(0.406946\pi\)
\(318\) −5.16485 + 1.51654i −0.289630 + 0.0850431i
\(319\) 43.0563 + 19.6631i 2.41069 + 1.10092i
\(320\) −0.283727 1.97336i −0.0158608 0.110314i
\(321\) −2.99806 −0.167335
\(322\) 5.25358 + 11.5499i 0.292771 + 0.643650i
\(323\) −5.10769 −0.284200
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) 4.08525 + 1.86567i 0.226609 + 0.103489i
\(326\) −10.2935 + 3.02244i −0.570103 + 0.167397i
\(327\) −1.12035 + 1.29295i −0.0619555 + 0.0715005i
\(328\) 3.25209 11.0756i 0.179567 0.611548i
\(329\) 14.3019 + 18.7850i 0.788490 + 1.03565i
\(330\) 4.68119 + 10.2504i 0.257691 + 0.564264i
\(331\) −10.9301 12.6140i −0.600774 0.693330i 0.371164 0.928567i \(-0.378959\pi\)
−0.971938 + 0.235237i \(0.924413\pi\)
\(332\) −3.83386 2.46387i −0.210410 0.135223i
\(333\) 2.36738 + 0.340378i 0.129732 + 0.0186526i
\(334\) −11.6070 1.66884i −0.635108 0.0913147i
\(335\) 6.92463 10.7749i 0.378333 0.588698i
\(336\) −1.85556 + 1.88597i −0.101229 + 0.102888i
\(337\) 12.3146 5.62390i 0.670820 0.306353i −0.0507331 0.998712i \(-0.516156\pi\)
0.721553 + 0.692359i \(0.243428\pi\)
\(338\) −5.20359 + 3.34414i −0.283038 + 0.181897i
\(339\) 1.48864 + 0.437104i 0.0808518 + 0.0237402i
\(340\) 8.86892 10.2353i 0.480984 0.555086i
\(341\) 40.1747 11.7964i 2.17558 0.638809i
\(342\) −0.312346 + 0.683942i −0.0168897 + 0.0369833i
\(343\) −6.89326 17.1896i −0.372201 0.928152i
\(344\) 8.91664i 0.480753i
\(345\) −9.54301 + 0.590150i −0.513778 + 0.0317726i
\(346\) 7.63936i 0.410695i
\(347\) −1.82270 12.6771i −0.0978475 0.680544i −0.978419 0.206631i \(-0.933750\pi\)
0.880571 0.473913i \(-0.157159\pi\)
\(348\) −7.61750 3.47880i −0.408341 0.186483i
\(349\) −6.32581 21.5437i −0.338613 1.15321i −0.936218 0.351420i \(-0.885699\pi\)
0.597605 0.801791i \(-0.296119\pi\)
\(350\) 1.60801 2.18484i 0.0859517 0.116784i
\(351\) −4.20270 1.23402i −0.224324 0.0658674i
\(352\) 3.05585 + 4.75500i 0.162878 + 0.253442i
\(353\) 1.98431 0.906206i 0.105614 0.0482325i −0.361907 0.932214i \(-0.617874\pi\)
0.467522 + 0.883982i \(0.345147\pi\)
\(354\) −6.11677 7.05913i −0.325103 0.375189i
\(355\) 4.54441 + 2.92052i 0.241192 + 0.155005i
\(356\) −0.931754 + 6.48049i −0.0493828 + 0.343465i
\(357\) −17.9370 1.13645i −0.949328 0.0601472i
\(358\) 16.3029 + 10.4773i 0.861637 + 0.553741i
\(359\) −23.7178 + 20.5516i −1.25178 + 1.08467i −0.258856 + 0.965916i \(0.583345\pi\)
−0.992923 + 0.118757i \(0.962109\pi\)
\(360\) −0.828195 1.81349i −0.0436497 0.0955795i
\(361\) −15.5082 + 9.96653i −0.816222 + 0.524554i
\(362\) −4.13758 1.21490i −0.217466 0.0638539i
\(363\) −15.8317 13.7182i −0.830946 0.720019i
\(364\) 4.13795 + 10.8248i 0.216888 + 0.567373i
\(365\) 6.17835 + 2.82156i 0.323390 + 0.147687i
\(366\) 6.82152 0.980786i 0.356567 0.0512665i
\(367\) −0.544838 −0.0284403 −0.0142201 0.999899i \(-0.504527\pi\)
−0.0142201 + 0.999899i \(0.504527\pi\)
\(368\) −4.69584 + 0.974218i −0.244788 + 0.0507846i
\(369\) 11.5432i 0.600914i
\(370\) 4.71974 0.678596i 0.245367 0.0352785i
\(371\) 13.3839 + 4.86839i 0.694855 + 0.252754i
\(372\) −7.10770 + 2.08701i −0.368517 + 0.108206i
\(373\) 3.78615 + 3.28072i 0.196039 + 0.169869i 0.747349 0.664432i \(-0.231326\pi\)
−0.551310 + 0.834301i \(0.685872\pi\)
\(374\) −10.8176 + 36.8415i −0.559366 + 1.90503i
\(375\) 6.49442 + 10.1055i 0.335370 + 0.521846i
\(376\) −8.11723 + 3.70701i −0.418614 + 0.191175i
\(377\) −27.7212 + 24.0205i −1.42771 + 1.23712i
\(378\) −1.24906 + 2.33235i −0.0642448 + 0.119963i
\(379\) 7.31040 + 1.05108i 0.375510 + 0.0539902i 0.327486 0.944856i \(-0.393799\pi\)
0.0480238 + 0.998846i \(0.484708\pi\)
\(380\) −0.213331 + 1.48375i −0.0109436 + 0.0761147i
\(381\) −5.74798 + 8.94403i −0.294478 + 0.458217i
\(382\) −16.5687 + 14.3568i −0.847728 + 0.734560i
\(383\) −12.7245 27.8628i −0.650193 1.42372i −0.891385 0.453247i \(-0.850266\pi\)
0.241192 0.970477i \(-0.422462\pi\)
\(384\) −0.540641 0.841254i −0.0275895 0.0429300i
\(385\) 6.10050 29.1834i 0.310910 1.48732i
\(386\) −7.87126 + 9.08392i −0.400637 + 0.462360i
\(387\) −2.51211 8.55545i −0.127698 0.434898i
\(388\) −1.49701 + 3.27799i −0.0759990 + 0.166415i
\(389\) 15.7904 2.27032i 0.800606 0.115110i 0.270146 0.962819i \(-0.412928\pi\)
0.530461 + 0.847710i \(0.322019\pi\)
\(390\) −8.73247 −0.442186
\(391\) −25.8913 19.7742i −1.30938 1.00002i
\(392\) 6.91164 1.10868i 0.349091 0.0559970i
\(393\) 0.641791 + 4.46375i 0.0323741 + 0.225167i
\(394\) 5.60959 12.2833i 0.282607 0.618824i
\(395\) −9.70884 33.0653i −0.488505 1.66369i
\(396\) 4.27171 + 3.70146i 0.214661 + 0.186005i
\(397\) −0.569560 + 1.93974i −0.0285854 + 0.0973529i −0.972550 0.232693i \(-0.925246\pi\)
0.943965 + 0.330046i \(0.107064\pi\)
\(398\) 6.74353 4.33381i 0.338023 0.217234i
\(399\) 1.73817 0.967532i 0.0870174 0.0484372i
\(400\) 0.671453 + 0.774898i 0.0335726 + 0.0387449i
\(401\) −7.74744 + 12.0553i −0.386889 + 0.602011i −0.979004 0.203843i \(-0.934657\pi\)
0.592115 + 0.805854i \(0.298293\pi\)
\(402\) 0.914298 6.35909i 0.0456011 0.317162i
\(403\) −4.61768 + 32.1167i −0.230023 + 1.59985i
\(404\) −1.75142 + 2.72527i −0.0871366 + 0.135587i
\(405\) −1.30557 1.50670i −0.0648741 0.0748688i
\(406\) 10.7760 + 19.3591i 0.534805 + 0.960777i
\(407\) −11.3726 + 7.30875i −0.563721 + 0.362281i
\(408\) 1.91385 6.51798i 0.0947498 0.322688i
\(409\) −5.02564 4.35474i −0.248502 0.215328i 0.521699 0.853130i \(-0.325299\pi\)
−0.770201 + 0.637802i \(0.779844\pi\)
\(410\) −6.48355 22.0809i −0.320200 1.09050i
\(411\) −2.75670 + 6.03634i −0.135978 + 0.297751i
\(412\) 0.524155 + 3.64558i 0.0258233 + 0.179605i
\(413\) 1.96325 + 24.6347i 0.0966054 + 1.21220i
\(414\) −4.23116 + 2.25773i −0.207950 + 0.110961i
\(415\) −9.08572 −0.446001
\(416\) −4.33554 + 0.623357i −0.212568 + 0.0305626i
\(417\) 0.133535 0.292400i 0.00653922 0.0143189i
\(418\) −1.19733 4.07773i −0.0585634 0.199449i
\(419\) −17.7800 + 20.5193i −0.868612 + 1.00243i 0.131326 + 0.991339i \(0.458076\pi\)
−0.999938 + 0.0110928i \(0.996469\pi\)
\(420\) −1.07930 + 5.16312i −0.0526644 + 0.251934i
\(421\) −6.05626 9.42373i −0.295164 0.459284i 0.661721 0.749750i \(-0.269826\pi\)
−0.956885 + 0.290465i \(0.906190\pi\)
\(422\) −3.02722 6.62868i −0.147363 0.322679i
\(423\) −6.74404 + 5.84374i −0.327906 + 0.284132i
\(424\) −2.91021 + 4.52838i −0.141332 + 0.219917i
\(425\) −0.991261 + 6.89437i −0.0480832 + 0.334426i
\(426\) 2.68199 + 0.385612i 0.129943 + 0.0186830i
\(427\) −16.0738 8.60811i −0.777864 0.416576i
\(428\) −2.26578 + 1.96331i −0.109521 + 0.0949002i
\(429\) 22.5204 10.2847i 1.08730 0.496551i
\(430\) −9.61081 14.9547i −0.463475 0.721180i
\(431\) 10.5237 35.8406i 0.506911 1.72638i −0.165508 0.986209i \(-0.552926\pi\)
0.672418 0.740171i \(-0.265256\pi\)
\(432\) −0.755750 0.654861i −0.0363610 0.0315070i
\(433\) −0.717927 + 0.210803i −0.0345014 + 0.0101305i −0.298938 0.954273i \(-0.596632\pi\)
0.264436 + 0.964403i \(0.414814\pi\)
\(434\) 18.4184 + 6.69973i 0.884113 + 0.321597i
\(435\) −16.5255 + 2.37600i −0.792336 + 0.113921i
\(436\) 1.71082i 0.0819335i
\(437\) 3.59410 + 0.291895i 0.171929 + 0.0139632i
\(438\) 3.40688 0.162787
\(439\) 13.0120 1.87085i 0.621031 0.0892908i 0.175385 0.984500i \(-0.443883\pi\)
0.445646 + 0.895209i \(0.352974\pi\)
\(440\) 10.2504 + 4.68119i 0.488667 + 0.223167i
\(441\) 6.31932 3.01101i 0.300920 0.143381i
\(442\) −22.4872 19.4853i −1.06961 0.926821i
\(443\) 30.9200 + 9.07893i 1.46905 + 0.431353i 0.915791 0.401654i \(-0.131565\pi\)
0.553262 + 0.833007i \(0.313383\pi\)
\(444\) 2.01205 1.29306i 0.0954874 0.0613660i
\(445\) 5.42230 + 11.8732i 0.257042 + 0.562842i
\(446\) 10.1968 8.83559i 0.482833 0.418377i
\(447\) 14.7770 + 9.49663i 0.698930 + 0.449175i
\(448\) −0.167293 + 2.64046i −0.00790386 + 0.124750i
\(449\) −1.06903 + 7.43528i −0.0504507 + 0.350892i 0.948923 + 0.315508i \(0.102175\pi\)
−0.999374 + 0.0353848i \(0.988734\pi\)
\(450\) 0.862568 + 0.554339i 0.0406618 + 0.0261318i
\(451\) 42.7266 + 49.3091i 2.01192 + 2.32188i
\(452\) 1.41128 0.644510i 0.0663810 0.0303152i
\(453\) −5.45751 8.49205i −0.256416 0.398991i
\(454\) −10.1544 2.98161i −0.476571 0.139934i
\(455\) 18.6076 + 13.6949i 0.872336 + 0.642027i
\(456\) 0.211831 + 0.721432i 0.00991992 + 0.0337841i
\(457\) 3.87620 + 1.77020i 0.181321 + 0.0828066i 0.504007 0.863699i \(-0.331859\pi\)
−0.322686 + 0.946506i \(0.604586\pi\)
\(458\) 1.61588 + 11.2387i 0.0755052 + 0.525150i
\(459\) 6.79315i 0.317077i
\(460\) −6.82566 + 6.69535i −0.318248 + 0.312172i
\(461\) 35.2401i 1.64129i −0.571436 0.820646i \(-0.693614\pi\)
0.571436 0.820646i \(-0.306386\pi\)
\(462\) −3.29746 14.5865i −0.153412 0.678623i
\(463\) −15.6832 + 34.3413i −0.728859 + 1.59598i 0.0721989 + 0.997390i \(0.476998\pi\)
−0.801058 + 0.598587i \(0.795729\pi\)
\(464\) −8.03505 + 2.35930i −0.373018 + 0.109528i
\(465\) −9.67133 + 11.1613i −0.448497 + 0.517594i
\(466\) −13.1855 3.87161i −0.610807 0.179349i
\(467\) 16.0445 10.3112i 0.742450 0.477144i −0.113931 0.993489i \(-0.536344\pi\)
0.856381 + 0.516345i \(0.172708\pi\)
\(468\) −3.98430 + 1.81957i −0.184175 + 0.0841097i
\(469\) −11.9210 + 12.1164i −0.550462 + 0.559482i
\(470\) −9.61836 + 14.9665i −0.443662 + 0.690351i
\(471\) −9.48233 1.36335i −0.436923 0.0628200i
\(472\) −9.24549 1.32930i −0.425558 0.0611861i
\(473\) 42.3986 + 27.2479i 1.94949 + 1.25286i
\(474\) −11.3195 13.0635i −0.519924 0.600024i
\(475\) −0.320259 0.701270i −0.0146945 0.0321765i
\(476\) −14.3001 + 10.8874i −0.655445 + 0.499022i
\(477\) −1.51654 + 5.16485i −0.0694374 + 0.236482i
\(478\) −0.227837 + 0.262937i −0.0104210 + 0.0120265i
\(479\) 20.4435 6.00277i 0.934089 0.274273i 0.220942 0.975287i \(-0.429087\pi\)
0.713148 + 0.701014i \(0.247269\pi\)
\(480\) −1.81349 0.828195i −0.0827743 0.0378017i
\(481\) −1.49090 10.3694i −0.0679791 0.472805i
\(482\) 15.0718 0.686502
\(483\) 12.5567 + 1.82474i 0.571349 + 0.0830287i
\(484\) −20.9483 −0.952194
\(485\) 1.02245 + 7.11129i 0.0464270 + 0.322907i
\(486\) −0.909632 0.415415i −0.0412617 0.0188436i
\(487\) −38.4126 + 11.2790i −1.74064 + 0.511098i −0.988929 0.148392i \(-0.952590\pi\)
−0.751713 + 0.659491i \(0.770772\pi\)
\(488\) 4.51308 5.20837i 0.204298 0.235772i
\(489\) −3.02244 + 10.2935i −0.136679 + 0.465487i
\(490\) 10.3970 9.30918i 0.469689 0.420546i
\(491\) 16.7438 + 36.6637i 0.755635 + 1.65461i 0.755967 + 0.654610i \(0.227167\pi\)
−0.000331542 1.00000i \(0.500106\pi\)
\(492\) −7.55918 8.72376i −0.340794 0.393297i
\(493\) −47.8570 30.7558i −2.15537 1.38517i
\(494\) 3.25985 + 0.468695i 0.146667 + 0.0210876i
\(495\) 11.1540 + 1.60370i 0.501335 + 0.0720811i
\(496\) −4.00494 + 6.23181i −0.179827 + 0.279817i
\(497\) −5.11017 5.02778i −0.229223 0.225527i
\(498\) −4.14548 + 1.89318i −0.185764 + 0.0848354i
\(499\) −1.16810 + 0.750690i −0.0522912 + 0.0336055i −0.566525 0.824044i \(-0.691713\pi\)
0.514234 + 0.857650i \(0.328076\pi\)
\(500\) 11.5259 + 3.38430i 0.515452 + 0.151350i
\(501\) −7.67914 + 8.86220i −0.343079 + 0.395934i
\(502\) −21.8592 + 6.41843i −0.975623 + 0.286469i
\(503\) 7.44550 16.3034i 0.331978 0.726931i −0.667871 0.744277i \(-0.732794\pi\)
0.999850 + 0.0173458i \(0.00552163\pi\)
\(504\) 0.583386 + 2.58063i 0.0259861 + 0.114950i
\(505\) 6.45851i 0.287400i
\(506\) 9.71739 25.3058i 0.431991 1.12498i
\(507\) 6.18552i 0.274709i
\(508\) 1.51306 + 10.5236i 0.0671312 + 0.466908i
\(509\) 25.8685 + 11.8137i 1.14660 + 0.523635i 0.895824 0.444410i \(-0.146587\pi\)
0.250777 + 0.968045i \(0.419314\pi\)
\(510\) −3.81556 12.9946i −0.168956 0.575411i
\(511\) −7.25954 5.34292i −0.321143 0.236357i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 0.406502 + 0.632529i 0.0179475 + 0.0279268i
\(514\) 26.5192 12.1109i 1.16971 0.534190i
\(515\) 4.80849 + 5.54930i 0.211887 + 0.244531i
\(516\) −7.50115 4.82070i −0.330220 0.212219i
\(517\) 7.17821 49.9255i 0.315697 2.19572i
\(518\) −6.31524 0.400119i −0.277476 0.0175802i
\(519\) 6.42664 + 4.13015i 0.282098 + 0.181294i
\(520\) −6.59956 + 5.71855i −0.289410 + 0.250775i
\(521\) −8.94027 19.5765i −0.391680 0.857661i −0.998047 0.0624749i \(-0.980101\pi\)
0.606366 0.795186i \(-0.292627\pi\)
\(522\) −7.04488 + 4.52747i −0.308346 + 0.198162i
\(523\) 20.3267 + 5.96846i 0.888825 + 0.260982i 0.694103 0.719876i \(-0.255801\pi\)
0.194722 + 0.980858i \(0.437620\pi\)
\(524\) 3.40817 + 2.95320i 0.148887 + 0.129011i
\(525\) −0.968646 2.53396i −0.0422752 0.110591i
\(526\) −22.9151 10.4650i −0.999148 0.456296i
\(527\) −49.8099 + 7.16158i −2.16975 + 0.311963i
\(528\) 5.65228 0.245984
\(529\) 17.0887 + 15.3940i 0.742988 + 0.669305i
\(530\) 10.7316i 0.466152i
\(531\) −9.24549 + 1.32930i −0.401220 + 0.0576868i
\(532\) 0.680023 1.86947i 0.0294827 0.0810519i
\(533\) −48.5126 + 14.2446i −2.10131 + 0.617001i
\(534\) 4.94799 + 4.28746i 0.214120 + 0.185536i
\(535\) −1.68394 + 5.73498i −0.0728032 + 0.247945i
\(536\) −3.47333 5.40461i −0.150025 0.233444i
\(537\) 17.6281 8.05047i 0.760708 0.347404i
\(538\) 20.6269 17.8733i 0.889289 0.770573i
\(539\) −15.8492 + 36.2528i −0.682673 + 1.56152i
\(540\) −1.97336 0.283727i −0.0849200 0.0122097i
\(541\) −2.61040 + 18.1557i −0.112230 + 0.780574i 0.853513 + 0.521072i \(0.174468\pi\)
−0.965742 + 0.259502i \(0.916441\pi\)
\(542\) 15.8373 24.6433i 0.680269 1.05852i
\(543\) −3.25899 + 2.82393i −0.139856 + 0.121186i
\(544\) −2.82198 6.17927i −0.120991 0.264934i
\(545\) 1.84401 + 2.86934i 0.0789888 + 0.122909i
\(546\) 11.3435 + 2.37126i 0.485458 + 0.101480i
\(547\) 8.71991 10.0633i 0.372837 0.430276i −0.538063 0.842905i \(-0.680844\pi\)
0.910899 + 0.412628i \(0.135389\pi\)
\(548\) 1.86958 + 6.36722i 0.0798647 + 0.271994i
\(549\) 2.86290 6.26888i 0.122186 0.267549i
\(550\) −5.73650 + 0.824784i −0.244605 + 0.0351689i
\(551\) 6.29652 0.268241
\(552\) −1.71920 + 4.47709i −0.0731739 + 0.190558i
\(553\) 3.63315 + 45.5884i 0.154497 + 1.93862i
\(554\) 3.77401 + 26.2488i 0.160342 + 1.11520i
\(555\) 1.98081 4.33737i 0.0840808 0.184111i
\(556\) −0.0905626 0.308428i −0.00384071 0.0130803i
\(557\) −25.7160 22.2830i −1.08962 0.944163i −0.0909591 0.995855i \(-0.528993\pi\)
−0.998663 + 0.0516916i \(0.983539\pi\)
\(558\) −2.08701 + 7.10770i −0.0883501 + 0.300893i
\(559\) −32.8560 + 21.1153i −1.38966 + 0.893081i
\(560\) 2.56544 + 4.60881i 0.108410 + 0.194758i
\(561\) 25.1446 + 29.0184i 1.06160 + 1.22516i
\(562\) 11.7602 18.2992i 0.496074 0.771906i
\(563\) 1.19638 8.32100i 0.0504214 0.350688i −0.948956 0.315408i \(-0.897859\pi\)
0.999377 0.0352801i \(-0.0112323\pi\)
\(564\) −1.26997 + 8.83281i −0.0534752 + 0.371928i
\(565\) 1.67227 2.60210i 0.0703530 0.109471i
\(566\) 1.30782 + 1.50931i 0.0549720 + 0.0634410i
\(567\) 1.28680 + 2.31174i 0.0540406 + 0.0970839i
\(568\) 2.27944 1.46491i 0.0956430 0.0614661i
\(569\) 1.85007 6.30076i 0.0775590 0.264142i −0.911580 0.411122i \(-0.865137\pi\)
0.989139 + 0.146980i \(0.0469553\pi\)
\(570\) 1.13287 + 0.981641i 0.0474509 + 0.0411164i
\(571\) −4.40069 14.9874i −0.184163 0.627202i −0.998879 0.0473414i \(-0.984925\pi\)
0.814716 0.579861i \(-0.196893\pi\)
\(572\) 10.2847 22.5204i 0.430026 0.941625i
\(573\) 3.12004 + 21.7004i 0.130342 + 0.906546i
\(574\) 2.42621 + 30.4439i 0.101268 + 1.27070i
\(575\) 1.09151 4.79467i 0.0455193 0.199951i
\(576\) −1.00000 −0.0416667
\(577\) −40.7399 + 5.85751i −1.69602 + 0.243851i −0.921413 0.388586i \(-0.872964\pi\)
−0.774612 + 0.632437i \(0.782055\pi\)
\(578\) 12.1081 26.5130i 0.503629 1.10279i
\(579\) 3.38636 + 11.5329i 0.140732 + 0.479290i
\(580\) −10.9332 + 12.6175i −0.453975 + 0.523915i
\(581\) 11.8024 + 2.46718i 0.489647 + 0.102356i
\(582\) 1.94828 + 3.03158i 0.0807586 + 0.125663i
\(583\) −12.6393 27.6761i −0.523465 1.14623i
\(584\) 2.57475 2.23103i 0.106544 0.0923208i
\(585\) −4.72113 + 7.34622i −0.195195 + 0.303729i
\(586\) 2.77571 19.3055i 0.114664 0.797503i
\(587\) 6.19017 + 0.890012i 0.255496 + 0.0367347i 0.268872 0.963176i \(-0.413349\pi\)
−0.0133768 + 0.999911i \(0.504258\pi\)
\(588\) 2.80403 6.41384i 0.115636 0.264502i
\(589\) 4.20938 3.64745i 0.173445 0.150291i
\(590\) −16.9391 + 7.73581i −0.697370 + 0.318478i
\(591\) −7.30059 11.3599i −0.300306 0.467286i
\(592\) 0.673826 2.29484i 0.0276941 0.0943174i
\(593\) 4.37623 + 3.79203i 0.179710 + 0.155720i 0.740071 0.672529i \(-0.234792\pi\)
−0.560361 + 0.828249i \(0.689337\pi\)
\(594\) 5.42332 1.59243i 0.222522 0.0653383i
\(595\) −12.2487 + 33.6734i −0.502149 + 1.38047i
\(596\) 17.3867 2.49983i 0.712187 0.102397i
\(597\) 8.01605i 0.328075i
\(598\) 14.7099 + 14.9962i 0.601532 + 0.613240i
\(599\) −20.4023 −0.833616 −0.416808 0.908994i \(-0.636851\pi\)
−0.416808 + 0.908994i \(0.636851\pi\)
\(600\) 1.01490 0.145921i 0.0414331 0.00595718i
\(601\) 13.7990 + 6.30177i 0.562871 + 0.257055i 0.676468 0.736472i \(-0.263510\pi\)
−0.113597 + 0.993527i \(0.536237\pi\)
\(602\) 8.42364 + 22.0360i 0.343322 + 0.898122i
\(603\) −4.85530 4.20714i −0.197723 0.171328i
\(604\) −9.68562 2.84395i −0.394102 0.115719i
\(605\) −35.1338 + 22.5791i −1.42839 + 0.917972i
\(606\) 1.34575 + 2.94678i 0.0546674 + 0.119705i
\(607\) 14.9240 12.9317i 0.605747 0.524883i −0.297099 0.954847i \(-0.596019\pi\)
0.902846 + 0.429964i \(0.141474\pi\)
\(608\) 0.632529 + 0.406502i 0.0256524 + 0.0164858i
\(609\) 22.1119 + 1.40096i 0.896019 + 0.0567697i
\(610\) 1.95535 13.5998i 0.0791698 0.550638i
\(611\) 32.8818 + 21.1319i 1.33026 + 0.854903i
\(612\) −4.44857 5.13392i −0.179823 0.207527i
\(613\) −11.8467 + 5.41020i −0.478483 + 0.218516i −0.640031 0.768349i \(-0.721079\pi\)
0.161548 + 0.986865i \(0.448351\pi\)
\(614\) −8.06565 12.5504i −0.325503 0.506493i
\(615\) −22.0809 6.48355i −0.890390 0.261442i
\(616\) −12.0442 8.86433i −0.485273 0.357154i
\(617\) −9.42261 32.0904i −0.379340 1.29191i −0.899154 0.437633i \(-0.855817\pi\)
0.519814 0.854280i \(-0.326001\pi\)
\(618\) 3.35024 + 1.53000i 0.134766 + 0.0615457i
\(619\) 3.85551 + 26.8157i 0.154966 + 1.07781i 0.907740 + 0.419533i \(0.137806\pi\)
−0.752774 + 0.658279i \(0.771285\pi\)
\(620\) 14.7685i 0.593119i
\(621\) −0.388216 + 4.78009i −0.0155786 + 0.191819i
\(622\) 2.63959i 0.105838i
\(623\) −3.81950 16.8957i −0.153025 0.676913i
\(624\) −1.81957 + 3.98430i −0.0728411 + 0.159500i
\(625\) 18.0596 5.30277i 0.722383 0.212111i
\(626\) 3.10213 3.58005i 0.123986 0.143088i
\(627\) −4.07773 1.19733i −0.162849 0.0478168i
\(628\) −8.05908 + 5.17925i −0.321592 + 0.206675i
\(629\) 14.7791 6.74939i 0.589281 0.269116i
\(630\) 3.75998 + 3.69935i 0.149801 + 0.147386i
\(631\) −7.18378 + 11.1782i −0.285982 + 0.444996i −0.954287 0.298890i \(-0.903383\pi\)
0.668306 + 0.743887i \(0.267020\pi\)
\(632\) −17.1095 2.45997i −0.680579 0.0978525i
\(633\) −7.21304 1.03708i −0.286693 0.0412202i
\(634\) 16.0254 + 10.2989i 0.636448 + 0.409020i
\(635\) 13.8805 + 16.0190i 0.550831 + 0.635693i
\(636\) 2.23613 + 4.89645i 0.0886685 + 0.194157i
\(637\) −20.4526 22.8426i −0.810360 0.905055i
\(638\) 13.3354 45.4164i 0.527955 1.79805i
\(639\) 1.77439 2.04776i 0.0701939 0.0810080i
\(640\) −1.91290 + 0.561678i −0.0756140 + 0.0222023i
\(641\) −19.2953 8.81189i −0.762120 0.348049i −0.00385305 0.999993i \(-0.501226\pi\)
−0.758267 + 0.651944i \(0.773954\pi\)
\(642\) 0.426668 + 2.96754i 0.0168393 + 0.117120i
\(643\) −12.4208 −0.489829 −0.244915 0.969545i \(-0.578760\pi\)
−0.244915 + 0.969545i \(0.578760\pi\)
\(644\) 10.6847 6.84383i 0.421035 0.269685i
\(645\) −17.7767 −0.699957
\(646\) 0.726901 + 5.05570i 0.0285995 + 0.198914i
\(647\) 14.7287 + 6.72639i 0.579046 + 0.264442i 0.683334 0.730106i \(-0.260529\pi\)
−0.104288 + 0.994547i \(0.533256\pi\)
\(648\) −0.959493 + 0.281733i −0.0376924 + 0.0110675i
\(649\) 34.5737 39.9002i 1.35714 1.56622i
\(650\) 1.26529 4.30918i 0.0496288 0.169020i
\(651\) 15.5939 11.8724i 0.611174 0.465317i
\(652\) 4.45659 + 9.75857i 0.174533 + 0.382175i
\(653\) −17.5737 20.2811i −0.687711 0.793660i 0.299327 0.954151i \(-0.403238\pi\)
−0.987037 + 0.160490i \(0.948692\pi\)
\(654\) 1.43924 + 0.924940i 0.0562785 + 0.0361680i
\(655\) 8.89919 + 1.27951i 0.347720 + 0.0499946i
\(656\) −11.4257 1.64277i −0.446098 0.0641393i
\(657\) 1.84190 2.86605i 0.0718593 0.111815i
\(658\) 16.5584 16.8297i 0.645513 0.656091i
\(659\) 31.1005 14.2031i 1.21150 0.553274i 0.295845 0.955236i \(-0.404399\pi\)
0.915657 + 0.401961i \(0.131671\pi\)
\(660\) 9.47984 6.09232i 0.369002 0.237143i
\(661\) −31.4742 9.24166i −1.22421 0.359459i −0.395145 0.918619i \(-0.629306\pi\)
−0.829060 + 0.559160i \(0.811124\pi\)
\(662\) −10.9301 + 12.6140i −0.424811 + 0.490258i
\(663\) −28.5496 + 8.38292i −1.10877 + 0.325566i
\(664\) −1.89318 + 4.14548i −0.0734696 + 0.160876i
\(665\) −0.874500 3.86839i −0.0339116 0.150010i
\(666\) 2.39172i 0.0926774i
\(667\) 31.9176 + 24.3767i 1.23585 + 0.943868i
\(668\) 11.7264i 0.453707i
\(669\) −1.92016 13.3550i −0.0742376 0.516334i
\(670\) −11.6507 5.32072i −0.450108 0.205557i
\(671\) 10.9745 + 37.3757i 0.423666 + 1.44287i
\(672\) 2.13085 + 1.56827i 0.0821993 + 0.0604975i
\(673\) 22.9538 + 6.73984i 0.884803 + 0.259802i 0.692400 0.721514i \(-0.256554\pi\)
0.192404 + 0.981316i \(0.438372\pi\)
\(674\) −7.31921 11.3889i −0.281925 0.438685i
\(675\) 0.932679 0.425940i 0.0358988 0.0163944i
\(676\) 4.05065 + 4.67470i 0.155794 + 0.179796i
\(677\) 10.8159 + 6.95092i 0.415687 + 0.267146i 0.731724 0.681601i \(-0.238716\pi\)
−0.316037 + 0.948747i \(0.602352\pi\)
\(678\) 0.220799 1.53569i 0.00847975 0.0589779i
\(679\) 0.602865 9.51526i 0.0231358 0.365162i
\(680\) −11.3933 7.32201i −0.436912 0.280786i
\(681\) −7.99818 + 6.93047i −0.306491 + 0.265576i
\(682\) −17.3937 38.0870i −0.666041 1.45843i
\(683\) −8.09085 + 5.19968i −0.309588 + 0.198960i −0.686204 0.727410i \(-0.740724\pi\)
0.376616 + 0.926370i \(0.377088\pi\)
\(684\) 0.721432 + 0.211831i 0.0275846 + 0.00809958i
\(685\) 9.99853 + 8.66378i 0.382024 + 0.331026i
\(686\) −16.0336 + 9.26943i −0.612167 + 0.353909i
\(687\) 10.3282 + 4.71674i 0.394046 + 0.179955i
\(688\) −8.82588 + 1.26897i −0.336483 + 0.0483790i
\(689\) 23.5778 0.898241
\(690\) 1.94225 + 9.36189i 0.0739404 + 0.356401i
\(691\) 6.61531i 0.251658i −0.992052 0.125829i \(-0.959841\pi\)
0.992052 0.125829i \(-0.0401591\pi\)
\(692\) 7.56161 1.08719i 0.287449 0.0413290i
\(693\) −14.0536 5.11203i −0.533854 0.194190i
\(694\) −12.2887 + 3.60829i −0.466473 + 0.136969i
\(695\) −0.484328 0.419673i −0.0183716 0.0159191i
\(696\) −2.35930 + 8.03505i −0.0894292 + 0.304568i
\(697\) −42.3941 65.9666i −1.60579 2.49866i
\(698\) −20.4242 + 9.32742i −0.773068 + 0.353048i
\(699\) −10.3856 + 8.99920i −0.392821 + 0.340381i
\(700\) −2.39144 1.28071i −0.0903880 0.0484062i
\(701\) −42.7656 6.14877i −1.61523 0.232236i −0.725337 0.688394i \(-0.758316\pi\)
−0.889898 + 0.456159i \(0.849225\pi\)
\(702\) −0.623357 + 4.33554i −0.0235271 + 0.163635i
\(703\) −0.972239 + 1.51283i −0.0366687 + 0.0570576i
\(704\) 4.27171 3.70146i 0.160996 0.139504i
\(705\) 7.39051 + 16.1830i 0.278343 + 0.609485i
\(706\) −1.17938 1.83515i −0.0443865 0.0690668i
\(707\) 1.75377 8.38965i 0.0659575 0.315525i
\(708\) −6.11677 + 7.05913i −0.229882 + 0.265298i
\(709\) 2.40707 + 8.19774i 0.0903995 + 0.307873i 0.992264 0.124147i \(-0.0396194\pi\)
−0.901864 + 0.432019i \(0.857801\pi\)
\(710\) 2.24405 4.91379i 0.0842178 0.184411i
\(711\) −17.1095 + 2.45997i −0.641656 + 0.0922562i
\(712\) 6.54713 0.245364
\(713\) 35.4587 2.19280i 1.32794 0.0821211i
\(714\) 1.42782 + 17.9162i 0.0534350 + 0.670496i
\(715\) −7.02443 48.8560i −0.262699 1.82711i
\(716\) 8.05047 17.6281i 0.300860 0.658792i
\(717\) 0.0980193 + 0.333823i 0.00366060 + 0.0124669i
\(718\) 23.7178 + 20.5516i 0.885142 + 0.766980i
\(719\) −2.03363 + 6.92590i −0.0758415 + 0.258293i −0.988683 0.150023i \(-0.952065\pi\)
0.912841 + 0.408315i \(0.133884\pi\)
\(720\) −1.67717 + 1.07785i −0.0625044 + 0.0401692i
\(721\) −4.73938 8.51429i −0.176504 0.317089i
\(722\) 12.0721 + 13.9320i 0.449278 + 0.518495i
\(723\) 8.14843 12.6792i 0.303043 0.471545i
\(724\) −0.613698 + 4.26836i −0.0228079 + 0.158632i
\(725\) 1.22198 8.49904i 0.0453831 0.315647i
\(726\) −11.3255 + 17.6228i −0.420328 + 0.654044i
\(727\) −10.2211 11.7958i −0.379081 0.437483i 0.533861 0.845572i \(-0.320741\pi\)
−0.912942 + 0.408089i \(0.866195\pi\)
\(728\) 10.1257 5.63636i 0.375284 0.208897i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 1.91357 6.51702i 0.0708244 0.241206i
\(731\) −45.7773 39.6663i −1.69314 1.46711i
\(732\) −1.94161 6.61251i −0.0717639 0.244405i
\(733\) −6.07735 + 13.3075i −0.224472 + 0.491526i −0.988039 0.154203i \(-0.950719\pi\)
0.763567 + 0.645729i \(0.223446\pi\)
\(734\) 0.0775385 + 0.539292i 0.00286200 + 0.0199056i
\(735\) −2.21033 13.7794i −0.0815294 0.508262i
\(736\) 1.63259 + 4.50940i 0.0601780 + 0.166219i
\(737\) 36.3129 1.33760
\(738\) −11.4257 + 1.64277i −0.420586 + 0.0604711i
\(739\) 19.4734 42.6408i 0.716340 1.56857i −0.102624 0.994720i \(-0.532724\pi\)
0.818964 0.573846i \(-0.194549\pi\)
\(740\) −1.34338 4.57512i −0.0493835 0.168185i
\(741\) 2.15670 2.48896i 0.0792283 0.0914343i
\(742\) 2.91412 13.9405i 0.106981 0.511771i
\(743\) 3.71784 + 5.78507i 0.136394 + 0.212234i 0.902731 0.430206i \(-0.141559\pi\)
−0.766337 + 0.642439i \(0.777923\pi\)
\(744\) 3.07730 + 6.73834i 0.112819 + 0.247040i
\(745\) 26.4660 22.9329i 0.969640 0.840198i
\(746\) 2.70850 4.21451i 0.0991652 0.154304i
\(747\) −0.648574 + 4.51093i −0.0237301 + 0.165046i
\(748\) 38.0060 + 5.46444i 1.38964 + 0.199800i
\(749\) 3.74476 6.99252i 0.136830 0.255501i
\(750\) 9.07840 7.86648i 0.331496 0.287243i
\(751\) 34.2356 15.6349i 1.24927 0.570525i 0.322652 0.946518i \(-0.395426\pi\)
0.926622 + 0.375993i \(0.122698\pi\)
\(752\) 4.82448 + 7.50704i 0.175931 + 0.273754i
\(753\) −6.41843 + 21.8592i −0.233901 + 0.796593i
\(754\) 27.7212 + 24.0205i 1.00955 + 0.874776i
\(755\) −19.3098 + 5.66987i −0.702755 + 0.206348i
\(756\) 2.48637 + 0.904419i 0.0904283 + 0.0328934i
\(757\) −25.1172 + 3.61131i −0.912901 + 0.131255i −0.582730 0.812666i \(-0.698016\pi\)
−0.330171 + 0.943921i \(0.607106\pi\)
\(758\) 7.38557i 0.268256i
\(759\) −16.0350 21.8561i −0.582032 0.793327i
\(760\) 1.49901 0.0543747
\(761\) −45.2021 + 6.49908i −1.63857 + 0.235591i −0.899147 0.437646i \(-0.855812\pi\)
−0.739427 + 0.673237i \(0.764903\pi\)
\(762\) 9.67101 + 4.41660i 0.350344 + 0.159997i
\(763\) −1.61623 4.22802i −0.0585115 0.153065i
\(764\) 16.5687 + 14.3568i 0.599434 + 0.519413i
\(765\) −12.9946 3.81556i −0.469821 0.137952i
\(766\) −25.7683 + 16.5603i −0.931048 + 0.598348i
\(767\) 16.9958 + 37.2157i 0.613684 + 1.34378i
\(768\) −0.755750 + 0.654861i −0.0272708 + 0.0236303i
\(769\) −27.2302 17.4998i −0.981947 0.631059i −0.0519588 0.998649i \(-0.516546\pi\)
−0.929988 + 0.367591i \(0.880183\pi\)
\(770\) −29.7545 1.88518i −1.07228 0.0679371i
\(771\) 4.14902 28.8570i 0.149423 1.03926i
\(772\) 10.1117 + 6.49837i 0.363927 + 0.233881i
\(773\) −9.25044 10.6756i −0.332715 0.383974i 0.564600 0.825365i \(-0.309031\pi\)
−0.897315 + 0.441391i \(0.854485\pi\)
\(774\)