Properties

Label 690.2.n.a.89.19
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.19
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.27489 - 1.17245i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.23188 - 0.136714i) q^{5} +(-1.34195 - 1.09506i) q^{6} +(-1.96759 + 1.26449i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.250714 - 2.98951i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.27489 - 1.17245i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.23188 - 0.136714i) q^{5} +(-1.34195 - 1.09506i) q^{6} +(-1.96759 + 1.26449i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.250714 - 2.98951i) q^{9} +(-0.452953 - 2.18971i) q^{10} +(-0.590477 + 4.10685i) q^{11} +(-0.892935 + 1.48414i) q^{12} +(2.60370 - 4.05144i) q^{13} +(1.53164 + 1.76761i) q^{14} +(2.68513 - 2.79107i) q^{15} +(0.841254 - 0.540641i) q^{16} +(2.07397 - 7.06329i) q^{17} +(-2.99476 + 0.177289i) q^{18} +(-1.43678 - 4.89322i) q^{19} +(-2.10296 + 0.759971i) q^{20} +(-1.02591 + 3.91900i) q^{21} +4.14909 q^{22} +(0.585811 - 4.75992i) q^{23} +(1.59611 + 0.672631i) q^{24} +(4.96262 - 0.610262i) q^{25} +(-4.38075 - 2.00062i) q^{26} +(-3.18542 - 4.10526i) q^{27} +(1.53164 - 1.76761i) q^{28} +(-0.892286 + 3.03885i) q^{29} +(-3.14480 - 2.26059i) q^{30} +(0.520682 + 1.14014i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(4.06229 + 5.92811i) q^{33} +(-7.28655 - 1.04765i) q^{34} +(-4.21856 + 3.09120i) q^{35} +(0.601683 + 2.93904i) q^{36} +(-1.29334 - 1.49260i) q^{37} +(-4.63894 + 2.11853i) q^{38} +(-1.43067 - 8.21788i) q^{39} +(1.05152 + 1.97340i) q^{40} +(8.22539 + 7.12734i) q^{41} +(4.02511 + 0.457739i) q^{42} +(-2.57950 + 5.64832i) q^{43} +(-0.590477 - 4.10685i) q^{44} +(0.150857 - 6.70651i) q^{45} +(-4.79484 + 0.0975584i) q^{46} +6.75447 q^{47} +(0.438635 - 1.67559i) q^{48} +(-0.635439 + 1.39142i) q^{49} +(-1.31030 - 4.82526i) q^{50} +(-5.63727 - 11.4366i) q^{51} +(-1.35681 + 4.62088i) q^{52} +(7.10060 + 11.0487i) q^{53} +(-3.61014 + 3.73723i) q^{54} +(-0.756409 + 9.24675i) q^{55} +(-1.96759 - 1.26449i) q^{56} +(-7.56881 - 4.55379i) q^{57} +(3.13490 + 0.450731i) q^{58} +(-1.99640 + 3.10646i) q^{59} +(-1.79002 + 3.43450i) q^{60} +(-5.51656 + 2.51933i) q^{61} +(1.05443 - 0.677641i) q^{62} +(3.28691 + 6.19915i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(5.25727 - 9.39831i) q^{65} +(5.28965 - 4.86460i) q^{66} +(0.160946 + 1.11941i) q^{67} +7.36148i q^{68} +(-4.83393 - 6.75523i) q^{69} +(3.66010 + 3.73570i) q^{70} +(0.381400 - 0.0548370i) q^{71} +(2.82350 - 1.01383i) q^{72} +(-4.69578 - 15.9924i) q^{73} +(-1.29334 + 1.49260i) q^{74} +(5.61131 - 6.59645i) q^{75} +(2.75716 + 4.29022i) q^{76} +(-4.03127 - 8.82726i) q^{77} +(-7.93062 + 2.58563i) q^{78} +(-3.72151 + 5.79078i) q^{79} +(1.80367 - 1.32166i) q^{80} +(-8.87428 - 1.49902i) q^{81} +(5.88420 - 9.15600i) q^{82} +(-12.0367 + 10.4298i) q^{83} +(-0.119753 - 4.04929i) q^{84} +(3.66320 - 16.0480i) q^{85} +(5.95793 + 1.74940i) q^{86} +(2.42533 + 4.92037i) q^{87} +(-3.98102 + 1.16893i) q^{88} +(-6.45448 + 14.1333i) q^{89} +(-6.65971 + 0.805115i) q^{90} +11.2639i q^{91} +(0.778942 + 4.73215i) q^{92} +(2.00057 + 0.843078i) q^{93} +(-0.961261 - 6.68572i) q^{94} +(-3.87570 - 10.7247i) q^{95} +(-1.72096 - 0.195709i) q^{96} +(-5.68611 + 6.56212i) q^{97} +(1.46769 + 0.430952i) q^{98} +(12.1294 + 2.79488i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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
\(3\) 1.27489 1.17245i 0.736061 0.676915i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 2.23188 0.136714i 0.998129 0.0611406i
\(6\) −1.34195 1.09506i −0.547851 0.447057i
\(7\) −1.96759 + 1.26449i −0.743679 + 0.477933i −0.856801 0.515648i \(-0.827551\pi\)
0.113122 + 0.993581i \(0.463915\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 0.250714 2.98951i 0.0835714 0.996502i
\(10\) −0.452953 2.18971i −0.143236 0.692447i
\(11\) −0.590477 + 4.10685i −0.178035 + 1.23826i 0.683266 + 0.730169i \(0.260559\pi\)
−0.861302 + 0.508094i \(0.830350\pi\)
\(12\) −0.892935 + 1.48414i −0.257768 + 0.428434i
\(13\) 2.60370 4.05144i 0.722137 1.12367i −0.265071 0.964229i \(-0.585395\pi\)
0.987208 0.159438i \(-0.0509683\pi\)
\(14\) 1.53164 + 1.76761i 0.409348 + 0.472413i
\(15\) 2.68513 2.79107i 0.693297 0.720652i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 2.07397 7.06329i 0.503011 1.71310i −0.180872 0.983507i \(-0.557892\pi\)
0.683883 0.729592i \(-0.260290\pi\)
\(18\) −2.99476 + 0.177289i −0.705871 + 0.0417874i
\(19\) −1.43678 4.89322i −0.329620 1.12258i −0.943000 0.332794i \(-0.892009\pi\)
0.613380 0.789788i \(-0.289809\pi\)
\(20\) −2.10296 + 0.759971i −0.470236 + 0.169935i
\(21\) −1.02591 + 3.91900i −0.223873 + 0.855196i
\(22\) 4.14909 0.884588
\(23\) 0.585811 4.75992i 0.122150 0.992512i
\(24\) 1.59611 + 0.672631i 0.325805 + 0.137300i
\(25\) 4.96262 0.610262i 0.992524 0.122052i
\(26\) −4.38075 2.00062i −0.859135 0.392354i
\(27\) −3.18542 4.10526i −0.613034 0.790057i
\(28\) 1.53164 1.76761i 0.289453 0.334046i
\(29\) −0.892286 + 3.03885i −0.165693 + 0.564300i 0.834224 + 0.551426i \(0.185916\pi\)
−0.999917 + 0.0128738i \(0.995902\pi\)
\(30\) −3.14480 2.26059i −0.574159 0.412725i
\(31\) 0.520682 + 1.14014i 0.0935173 + 0.204774i 0.950610 0.310388i \(-0.100459\pi\)
−0.857093 + 0.515162i \(0.827732\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 4.06229 + 5.92811i 0.707154 + 1.03195i
\(34\) −7.28655 1.04765i −1.24963 0.179670i
\(35\) −4.21856 + 3.09120i −0.713066 + 0.522508i
\(36\) 0.601683 + 2.93904i 0.100280 + 0.489841i
\(37\) −1.29334 1.49260i −0.212624 0.245381i 0.639412 0.768864i \(-0.279178\pi\)
−0.852036 + 0.523483i \(0.824632\pi\)
\(38\) −4.63894 + 2.11853i −0.752535 + 0.343671i
\(39\) −1.43067 8.21788i −0.229091 1.31591i
\(40\) 1.05152 + 1.97340i 0.166260 + 0.312022i
\(41\) 8.22539 + 7.12734i 1.28459 + 1.11310i 0.987393 + 0.158288i \(0.0505974\pi\)
0.297197 + 0.954816i \(0.403948\pi\)
\(42\) 4.02511 + 0.457739i 0.621088 + 0.0706306i
\(43\) −2.57950 + 5.64832i −0.393370 + 0.861360i 0.604530 + 0.796583i \(0.293361\pi\)
−0.997900 + 0.0647776i \(0.979366\pi\)
\(44\) −0.590477 4.10685i −0.0890177 0.619132i
\(45\) 0.150857 6.70651i 0.0224884 0.999747i
\(46\) −4.79484 + 0.0975584i −0.706960 + 0.0143842i
\(47\) 6.75447 0.985240 0.492620 0.870244i \(-0.336039\pi\)
0.492620 + 0.870244i \(0.336039\pi\)
\(48\) 0.438635 1.67559i 0.0633115 0.241850i
\(49\) −0.635439 + 1.39142i −0.0907771 + 0.198774i
\(50\) −1.31030 4.82526i −0.185305 0.682394i
\(51\) −5.63727 11.4366i −0.789376 1.60144i
\(52\) −1.35681 + 4.62088i −0.188156 + 0.640800i
\(53\) 7.10060 + 11.0487i 0.975342 + 1.51766i 0.850828 + 0.525445i \(0.176101\pi\)
0.124515 + 0.992218i \(0.460263\pi\)
\(54\) −3.61014 + 3.73723i −0.491278 + 0.508573i
\(55\) −0.756409 + 9.24675i −0.101994 + 1.24683i
\(56\) −1.96759 1.26449i −0.262930 0.168975i
\(57\) −7.56881 4.55379i −1.00251 0.603164i
\(58\) 3.13490 + 0.450731i 0.411633 + 0.0591839i
\(59\) −1.99640 + 3.10646i −0.259909 + 0.404427i −0.946543 0.322577i \(-0.895451\pi\)
0.686634 + 0.727003i \(0.259087\pi\)
\(60\) −1.79002 + 3.43450i −0.231091 + 0.443392i
\(61\) −5.51656 + 2.51933i −0.706323 + 0.322567i −0.735990 0.676993i \(-0.763283\pi\)
0.0296663 + 0.999560i \(0.490556\pi\)
\(62\) 1.05443 0.677641i 0.133913 0.0860604i
\(63\) 3.28691 + 6.19915i 0.414111 + 0.781019i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 5.25727 9.39831i 0.652085 1.16572i
\(66\) 5.28965 4.86460i 0.651111 0.598791i
\(67\) 0.160946 + 1.11941i 0.0196627 + 0.136757i 0.997288 0.0735963i \(-0.0234476\pi\)
−0.977625 + 0.210353i \(0.932539\pi\)
\(68\) 7.36148i 0.892710i
\(69\) −4.83393 6.75523i −0.581936 0.813234i
\(70\) 3.66010 + 3.73570i 0.437466 + 0.446501i
\(71\) 0.381400 0.0548370i 0.0452638 0.00650796i −0.119646 0.992817i \(-0.538176\pi\)
0.164910 + 0.986309i \(0.447267\pi\)
\(72\) 2.82350 1.01383i 0.332753 0.119481i
\(73\) −4.69578 15.9924i −0.549599 1.87176i −0.486347 0.873766i \(-0.661671\pi\)
−0.0632528 0.997998i \(-0.520147\pi\)
\(74\) −1.29334 + 1.49260i −0.150348 + 0.173511i
\(75\) 5.61131 6.59645i 0.647939 0.761692i
\(76\) 2.75716 + 4.29022i 0.316268 + 0.492122i
\(77\) −4.03127 8.82726i −0.459406 1.00596i
\(78\) −7.93062 + 2.58563i −0.897966 + 0.292765i
\(79\) −3.72151 + 5.79078i −0.418702 + 0.651513i −0.984974 0.172706i \(-0.944749\pi\)
0.566271 + 0.824219i \(0.308385\pi\)
\(80\) 1.80367 1.32166i 0.201656 0.147766i
\(81\) −8.87428 1.49902i −0.986032 0.166558i
\(82\) 5.88420 9.15600i 0.649801 1.01111i
\(83\) −12.0367 + 10.4298i −1.32120 + 1.14482i −0.342498 + 0.939519i \(0.611273\pi\)
−0.978698 + 0.205304i \(0.934182\pi\)
\(84\) −0.119753 4.04929i −0.0130662 0.441813i
\(85\) 3.66320 16.0480i 0.397330 1.74065i
\(86\) 5.95793 + 1.74940i 0.642460 + 0.188643i
\(87\) 2.42533 + 4.92037i 0.260023 + 0.527520i
\(88\) −3.98102 + 1.16893i −0.424378 + 0.124609i
\(89\) −6.45448 + 14.1333i −0.684174 + 1.49813i 0.173986 + 0.984748i \(0.444335\pi\)
−0.858159 + 0.513383i \(0.828392\pi\)
\(90\) −6.65971 + 0.805115i −0.701995 + 0.0848665i
\(91\) 11.2639i 1.18078i
\(92\) 0.778942 + 4.73215i 0.0812103 + 0.493361i
\(93\) 2.00057 + 0.843078i 0.207449 + 0.0874231i
\(94\) −0.961261 6.68572i −0.0991465 0.689579i
\(95\) −3.87570 10.7247i −0.397638 1.10033i
\(96\) −1.72096 0.195709i −0.175645 0.0199744i
\(97\) −5.68611 + 6.56212i −0.577337 + 0.666283i −0.967030 0.254662i \(-0.918036\pi\)
0.389693 + 0.920945i \(0.372581\pi\)
\(98\) 1.46769 + 0.430952i 0.148259 + 0.0435327i
\(99\) 12.1294 + 2.79488i 1.21905 + 0.280896i
\(100\) −4.58967 + 1.98367i −0.458967 + 0.198367i
\(101\) 2.88426 2.49923i 0.286995 0.248683i −0.499450 0.866343i \(-0.666465\pi\)
0.786445 + 0.617660i \(0.211919\pi\)
\(102\) −10.5179 + 7.20749i −1.04143 + 0.713647i
\(103\) −1.59510 + 11.0942i −0.157170 + 1.09314i 0.746647 + 0.665221i \(0.231663\pi\)
−0.903817 + 0.427920i \(0.859246\pi\)
\(104\) 4.76694 + 0.685382i 0.467437 + 0.0672072i
\(105\) −1.75394 + 8.88701i −0.171167 + 0.867283i
\(106\) 9.92577 8.60073i 0.964076 0.835377i
\(107\) 10.0925 4.60910i 0.975682 0.445579i 0.137221 0.990541i \(-0.456183\pi\)
0.838461 + 0.544962i \(0.183456\pi\)
\(108\) 4.21297 + 3.04153i 0.405393 + 0.292671i
\(109\) 0.734577 2.50174i 0.0703597 0.239623i −0.916803 0.399339i \(-0.869240\pi\)
0.987163 + 0.159716i \(0.0510578\pi\)
\(110\) 9.26028 0.567240i 0.882933 0.0540842i
\(111\) −3.39887 0.386523i −0.322607 0.0366871i
\(112\) −0.971605 + 2.12752i −0.0918080 + 0.201032i
\(113\) 8.66822 1.24630i 0.815437 0.117242i 0.278038 0.960570i \(-0.410316\pi\)
0.537399 + 0.843328i \(0.319407\pi\)
\(114\) −3.43028 + 8.13984i −0.321275 + 0.762366i
\(115\) 0.656714 10.7037i 0.0612389 0.998123i
\(116\) 3.16714i 0.294062i
\(117\) −11.4590 8.79954i −1.05939 0.813517i
\(118\) 3.35896 + 1.53398i 0.309217 + 0.141215i
\(119\) 4.85076 + 16.5202i 0.444668 + 1.51440i
\(120\) 3.65429 + 1.28302i 0.333590 + 0.117124i
\(121\) −5.96317 1.75094i −0.542106 0.159177i
\(122\) 3.27877 + 5.10187i 0.296846 + 0.461902i
\(123\) 18.8430 0.557261i 1.69901 0.0502466i
\(124\) −0.820804 0.947258i −0.0737104 0.0850663i
\(125\) 10.9926 2.04050i 0.983204 0.182507i
\(126\) 5.66827 4.13568i 0.504970 0.368436i
\(127\) −1.45735 0.209535i −0.129319 0.0185932i 0.0773516 0.997004i \(-0.475354\pi\)
−0.206670 + 0.978411i \(0.566263\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 3.33379 + 10.2253i 0.293524 + 0.900292i
\(130\) −10.0508 3.86624i −0.881517 0.339092i
\(131\) 1.40959 + 2.19337i 0.123157 + 0.191635i 0.897357 0.441305i \(-0.145484\pi\)
−0.774201 + 0.632940i \(0.781848\pi\)
\(132\) −5.56788 4.54350i −0.484622 0.395461i
\(133\) 9.01443 + 7.81105i 0.781651 + 0.677304i
\(134\) 1.08511 0.318616i 0.0937389 0.0275242i
\(135\) −7.67073 8.72696i −0.660191 0.751098i
\(136\) 7.28655 1.04765i 0.624816 0.0898350i
\(137\) 8.93937i 0.763742i −0.924216 0.381871i \(-0.875280\pi\)
0.924216 0.381871i \(-0.124720\pi\)
\(138\) −5.99853 + 5.74609i −0.510629 + 0.489140i
\(139\) −1.72575 −0.146376 −0.0731880 0.997318i \(-0.523317\pi\)
−0.0731880 + 0.997318i \(0.523317\pi\)
\(140\) 3.17679 4.15449i 0.268487 0.351118i
\(141\) 8.61124 7.91929i 0.725197 0.666924i
\(142\) −0.108558 0.369714i −0.00910996 0.0310257i
\(143\) 15.1012 + 13.0853i 1.26283 + 1.09425i
\(144\) −1.40533 2.65048i −0.117111 0.220873i
\(145\) −1.57603 + 6.90435i −0.130882 + 0.573375i
\(146\) −15.1613 + 6.92393i −1.25476 + 0.573029i
\(147\) 0.821252 + 2.51893i 0.0677357 + 0.207758i
\(148\) 1.66147 + 1.06776i 0.136572 + 0.0877693i
\(149\) 2.78753 19.3877i 0.228363 1.58830i −0.476640 0.879099i \(-0.658145\pi\)
0.705003 0.709204i \(-0.250946\pi\)
\(150\) −7.32788 4.61543i −0.598319 0.376848i
\(151\) 10.1818 + 6.54342i 0.828580 + 0.532496i 0.884826 0.465921i \(-0.154277\pi\)
−0.0562462 + 0.998417i \(0.517913\pi\)
\(152\) 3.85417 3.33966i 0.312614 0.270882i
\(153\) −20.5958 7.97101i −1.66507 0.644418i
\(154\) −8.16370 + 5.24649i −0.657850 + 0.422774i
\(155\) 1.31798 + 2.47347i 0.105862 + 0.198673i
\(156\) 3.68796 + 7.48193i 0.295273 + 0.599034i
\(157\) −21.4105 + 6.28669i −1.70874 + 0.501732i −0.982588 0.185798i \(-0.940513\pi\)
−0.726155 + 0.687531i \(0.758695\pi\)
\(158\) 6.26146 + 2.85951i 0.498135 + 0.227491i
\(159\) 22.0066 + 5.76088i 1.74524 + 0.456868i
\(160\) −1.56490 1.59722i −0.123716 0.126271i
\(161\) 4.86625 + 10.1063i 0.383514 + 0.796490i
\(162\) −0.220822 + 8.99729i −0.0173494 + 0.706894i
\(163\) 1.02510 0.147387i 0.0802918 0.0115442i −0.102052 0.994779i \(-0.532541\pi\)
0.182344 + 0.983235i \(0.441632\pi\)
\(164\) −9.90021 4.52127i −0.773077 0.353052i
\(165\) 9.87703 + 12.6755i 0.768926 + 0.986786i
\(166\) 12.0367 + 10.4298i 0.934227 + 0.809512i
\(167\) −6.36947 1.87024i −0.492884 0.144724i 0.0258390 0.999666i \(-0.491774\pi\)
−0.518723 + 0.854942i \(0.673592\pi\)
\(168\) −3.99103 + 0.694808i −0.307914 + 0.0536056i
\(169\) −4.23451 9.27227i −0.325731 0.713252i
\(170\) −16.4060 1.34205i −1.25828 0.102931i
\(171\) −14.9885 + 3.06846i −1.14620 + 0.234651i
\(172\) 0.883697 6.14625i 0.0673813 0.468647i
\(173\) −0.524760 + 3.64979i −0.0398968 + 0.277488i −0.999998 0.00216564i \(-0.999311\pi\)
0.960101 + 0.279654i \(0.0902197\pi\)
\(174\) 4.52513 3.10089i 0.343049 0.235078i
\(175\) −8.99272 + 7.47594i −0.679786 + 0.565128i
\(176\) 1.72359 + 3.77414i 0.129921 + 0.284487i
\(177\) 1.09697 + 6.30109i 0.0824535 + 0.473619i
\(178\) 14.9081 + 4.37740i 1.11741 + 0.328100i
\(179\) −12.0244 10.4192i −0.898750 0.778771i 0.0771436 0.997020i \(-0.475420\pi\)
−0.975893 + 0.218249i \(0.929965\pi\)
\(180\) 1.74470 + 6.47735i 0.130042 + 0.482793i
\(181\) 6.62705 + 3.02647i 0.492585 + 0.224956i 0.646190 0.763176i \(-0.276361\pi\)
−0.153606 + 0.988132i \(0.549089\pi\)
\(182\) 11.1493 1.60302i 0.826440 0.118824i
\(183\) −4.07924 + 9.67978i −0.301546 + 0.715550i
\(184\) 4.57313 1.44447i 0.337136 0.106488i
\(185\) −3.09065 3.15449i −0.227229 0.231922i
\(186\) 0.549786 2.10019i 0.0403122 0.153993i
\(187\) 27.7833 + 12.6882i 2.03171 + 0.927852i
\(188\) −6.48086 + 1.90295i −0.472666 + 0.138787i
\(189\) 11.4587 + 4.04952i 0.833495 + 0.294559i
\(190\) −10.0639 + 5.36253i −0.730115 + 0.389039i
\(191\) 9.29975 5.97659i 0.672906 0.432451i −0.159066 0.987268i \(-0.550848\pi\)
0.831972 + 0.554817i \(0.187212\pi\)
\(192\) 0.0512012 + 1.73129i 0.00369513 + 0.124945i
\(193\) −3.75659 + 3.25511i −0.270406 + 0.234308i −0.779499 0.626404i \(-0.784526\pi\)
0.509093 + 0.860711i \(0.329981\pi\)
\(194\) 7.30455 + 4.69435i 0.524436 + 0.337035i
\(195\) −4.31659 18.1458i −0.309118 1.29944i
\(196\) 0.217692 1.51408i 0.0155494 0.108149i
\(197\) 15.9181 + 10.2299i 1.13412 + 0.728852i 0.966415 0.256986i \(-0.0827294\pi\)
0.167701 + 0.985838i \(0.446366\pi\)
\(198\) 1.04023 12.4037i 0.0739263 0.881494i
\(199\) −2.89119 + 1.32036i −0.204951 + 0.0935980i −0.515246 0.857042i \(-0.672299\pi\)
0.310295 + 0.950640i \(0.399572\pi\)
\(200\) 2.61666 + 4.26064i 0.185026 + 0.301273i
\(201\) 1.51764 + 1.23842i 0.107046 + 0.0873516i
\(202\) −2.88426 2.49923i −0.202936 0.175845i
\(203\) −2.08695 7.10750i −0.146475 0.498848i
\(204\) 8.63098 + 9.38511i 0.604289 + 0.657089i
\(205\) 19.3325 + 14.7829i 1.35024 + 1.03248i
\(206\) 11.2083 0.780916
\(207\) −14.0829 2.94467i −0.978831 0.204668i
\(208\) 4.81596i 0.333926i
\(209\) 20.9441 3.01131i 1.44874 0.208297i
\(210\) 9.04617 + 0.471329i 0.624245 + 0.0325248i
\(211\) −5.95073 + 1.74729i −0.409665 + 0.120288i −0.480070 0.877230i \(-0.659389\pi\)
0.0704055 + 0.997518i \(0.477571\pi\)
\(212\) −9.92577 8.60073i −0.681705 0.590700i
\(213\) 0.421951 0.517084i 0.0289116 0.0354300i
\(214\) −5.99851 9.33386i −0.410049 0.638049i
\(215\) −4.98494 + 12.9590i −0.339970 + 0.883800i
\(216\) 2.41100 4.60294i 0.164048 0.313190i
\(217\) −2.46618 1.58492i −0.167415 0.107591i
\(218\) −2.58082 0.371066i −0.174795 0.0251317i
\(219\) −24.7369 14.8830i −1.67156 1.00570i
\(220\) −1.87934 9.08530i −0.126705 0.612531i
\(221\) −23.2165 26.7933i −1.56171 1.80231i
\(222\) 0.101122 + 3.41929i 0.00678685 + 0.229487i
\(223\) 1.38258 + 2.15134i 0.0925847 + 0.144065i 0.884456 0.466623i \(-0.154529\pi\)
−0.791872 + 0.610688i \(0.790893\pi\)
\(224\) 2.24414 + 0.658938i 0.149943 + 0.0440272i
\(225\) −0.580182 14.9888i −0.0386788 0.999252i
\(226\) −2.46723 8.40262i −0.164118 0.558934i
\(227\) 3.00561 + 1.37261i 0.199489 + 0.0911036i 0.512655 0.858595i \(-0.328662\pi\)
−0.313165 + 0.949699i \(0.601389\pi\)
\(228\) 8.54517 + 2.23695i 0.565918 + 0.148146i
\(229\) 13.0423i 0.861861i 0.902385 + 0.430930i \(0.141815\pi\)
−0.902385 + 0.430930i \(0.858185\pi\)
\(230\) −10.6882 + 0.873263i −0.704758 + 0.0575812i
\(231\) −15.4890 6.52735i −1.01910 0.429468i
\(232\) −3.13490 + 0.450731i −0.205816 + 0.0295919i
\(233\) −0.0172536 + 0.0377800i −0.00113032 + 0.00247505i −0.910196 0.414177i \(-0.864069\pi\)
0.909066 + 0.416652i \(0.136797\pi\)
\(234\) −7.07918 + 12.5947i −0.462781 + 0.823340i
\(235\) 15.0752 0.923433i 0.983397 0.0602382i
\(236\) 1.04034 3.54308i 0.0677204 0.230635i
\(237\) 2.04488 + 11.7459i 0.132829 + 0.762980i
\(238\) 15.6617 7.15245i 1.01520 0.463624i
\(239\) 17.2040 14.9073i 1.11283 0.964275i 0.113262 0.993565i \(-0.463870\pi\)
0.999571 + 0.0292902i \(0.00932468\pi\)
\(240\) 0.749905 3.79969i 0.0484061 0.245269i
\(241\) −0.846017 0.121639i −0.0544968 0.00783545i 0.115013 0.993364i \(-0.463309\pi\)
−0.169509 + 0.985529i \(0.554218\pi\)
\(242\) −0.884475 + 6.15166i −0.0568562 + 0.395443i
\(243\) −13.0713 + 8.49357i −0.838525 + 0.544863i
\(244\) 4.58333 3.97147i 0.293417 0.254248i
\(245\) −1.22800 + 3.19236i −0.0784541 + 0.203952i
\(246\) −3.23322 18.5719i −0.206143 1.18410i
\(247\) −23.5655 6.91947i −1.49944 0.440275i
\(248\) −0.820804 + 0.947258i −0.0521211 + 0.0601510i
\(249\) −3.11701 + 27.4094i −0.197533 + 1.73700i
\(250\) −3.58413 10.5903i −0.226680 0.669788i
\(251\) 0.707153 + 4.91836i 0.0446351 + 0.310444i 0.999892 + 0.0146680i \(0.00466914\pi\)
−0.955257 + 0.295776i \(0.904422\pi\)
\(252\) −4.90026 5.02201i −0.308688 0.316357i
\(253\) 19.2024 + 5.21646i 1.20724 + 0.327956i
\(254\) 1.47233i 0.0923823i
\(255\) −14.1453 24.7544i −0.885812 1.55018i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −23.4483 + 6.88505i −1.46267 + 0.429478i −0.913708 0.406371i \(-0.866794\pi\)
−0.548959 + 0.835849i \(0.684976\pi\)
\(258\) 9.64682 4.75507i 0.600585 0.296038i
\(259\) 4.43214 + 1.30140i 0.275400 + 0.0808648i
\(260\) −2.39651 + 10.4988i −0.148625 + 0.651105i
\(261\) 8.86094 + 3.42938i 0.548479 + 0.212273i
\(262\) 1.97044 1.70739i 0.121734 0.105483i
\(263\) −10.3149 + 16.0503i −0.636046 + 0.989706i 0.362292 + 0.932065i \(0.381994\pi\)
−0.998337 + 0.0576416i \(0.981642\pi\)
\(264\) −3.70486 + 6.15782i −0.228019 + 0.378988i
\(265\) 17.3582 + 23.6888i 1.06631 + 1.45519i
\(266\) 6.44866 10.0343i 0.395393 0.615243i
\(267\) 8.34188 + 25.5861i 0.510515 + 1.56584i
\(268\) −0.469800 1.02872i −0.0286976 0.0628389i
\(269\) 4.99311 + 7.76944i 0.304436 + 0.473711i 0.959440 0.281914i \(-0.0909694\pi\)
−0.655004 + 0.755625i \(0.727333\pi\)
\(270\) −7.54648 + 8.83463i −0.459264 + 0.537658i
\(271\) 9.17490 10.5884i 0.557335 0.643199i −0.405241 0.914210i \(-0.632812\pi\)
0.962576 + 0.271011i \(0.0873578\pi\)
\(272\) −2.07397 7.06329i −0.125753 0.428275i
\(273\) 13.2064 + 14.3603i 0.799289 + 0.869127i
\(274\) −8.84838 + 1.27221i −0.534550 + 0.0768568i
\(275\) −0.424053 + 20.7411i −0.0255714 + 1.25074i
\(276\) 6.54129 + 5.11972i 0.393739 + 0.308171i
\(277\) 18.1513i 1.09060i −0.838240 0.545302i \(-0.816415\pi\)
0.838240 0.545302i \(-0.183585\pi\)
\(278\) 0.245599 + 1.70818i 0.0147301 + 0.102450i
\(279\) 3.53898 1.27073i 0.211873 0.0760769i
\(280\) −4.56431 2.55320i −0.272770 0.152583i
\(281\) −7.87946 + 9.09338i −0.470049 + 0.542466i −0.940425 0.340000i \(-0.889573\pi\)
0.470376 + 0.882466i \(0.344118\pi\)
\(282\) −9.06419 7.39656i −0.539764 0.440458i
\(283\) −14.1573 + 9.09834i −0.841564 + 0.540840i −0.888933 0.458037i \(-0.848553\pi\)
0.0473690 + 0.998877i \(0.484916\pi\)
\(284\) −0.350501 + 0.160068i −0.0207984 + 0.00949832i
\(285\) −17.5153 9.12876i −1.03752 0.540741i
\(286\) 10.8030 16.8098i 0.638794 0.993983i
\(287\) −25.1967 3.62273i −1.48731 0.213843i
\(288\) −2.42350 + 1.76823i −0.142806 + 0.104194i
\(289\) −31.2874 20.1072i −1.84043 1.18277i
\(290\) 7.05836 + 0.577393i 0.414481 + 0.0339057i
\(291\) 0.444577 + 15.0327i 0.0260616 + 0.881233i
\(292\) 9.01113 + 14.0216i 0.527337 + 0.820552i
\(293\) 2.19741 7.48370i 0.128374 0.437203i −0.870072 0.492925i \(-0.835928\pi\)
0.998446 + 0.0557220i \(0.0177460\pi\)
\(294\) 2.37642 1.17137i 0.138596 0.0683160i
\(295\) −4.03104 + 7.20619i −0.234696 + 0.419561i
\(296\) 0.820440 1.79651i 0.0476871 0.104420i
\(297\) 18.7406 10.6580i 1.08744 0.618439i
\(298\) −19.5871 −1.13465
\(299\) −17.7592 14.7668i −1.02704 0.853986i
\(300\) −3.52558 + 7.91014i −0.203550 + 0.456692i
\(301\) −2.06686 14.3753i −0.119132 0.828580i
\(302\) 5.02780 11.0094i 0.289318 0.633517i
\(303\) 0.746908 6.56791i 0.0429088 0.377317i
\(304\) −3.85417 3.33966i −0.221052 0.191542i
\(305\) −11.9679 + 6.37705i −0.685280 + 0.365149i
\(306\) −4.95879 + 21.5205i −0.283475 + 1.23025i
\(307\) 12.9762 5.92604i 0.740592 0.338217i −0.00914055 0.999958i \(-0.502910\pi\)
0.749732 + 0.661741i \(0.230182\pi\)
\(308\) 6.35490 + 7.33395i 0.362104 + 0.417891i
\(309\) 10.9738 + 16.0141i 0.624277 + 0.911009i
\(310\) 2.26072 1.65657i 0.128400 0.0940869i
\(311\) −11.3575 1.63297i −0.644026 0.0925970i −0.187440 0.982276i \(-0.560019\pi\)
−0.456586 + 0.889679i \(0.650928\pi\)
\(312\) 6.88092 4.71521i 0.389555 0.266946i
\(313\) −6.95776 8.02969i −0.393276 0.453865i 0.524236 0.851573i \(-0.324351\pi\)
−0.917512 + 0.397708i \(0.869806\pi\)
\(314\) 9.26973 + 20.2979i 0.523121 + 1.14548i
\(315\) 8.18351 + 13.3864i 0.461088 + 0.754239i
\(316\) 1.93931 6.60468i 0.109095 0.371542i
\(317\) 14.4422 16.6672i 0.811153 0.936121i −0.187784 0.982210i \(-0.560130\pi\)
0.998937 + 0.0460894i \(0.0146759\pi\)
\(318\) 2.57037 22.6025i 0.144139 1.26749i
\(319\) −11.9532 5.45886i −0.669253 0.305637i
\(320\) −1.35825 + 1.77627i −0.0759286 + 0.0992968i
\(321\) 7.46296 17.7091i 0.416542 0.988427i
\(322\) 9.31091 6.25499i 0.518877 0.348577i
\(323\) −37.5421 −2.08890
\(324\) 8.93714 1.06187i 0.496508 0.0589930i
\(325\) 10.4487 21.6947i 0.579592 1.20340i
\(326\) −0.291773 0.993687i −0.0161598 0.0550353i
\(327\) −1.99666 4.05071i −0.110416 0.224005i
\(328\) −3.06631 + 10.4429i −0.169309 + 0.576612i
\(329\) −13.2900 + 8.54098i −0.732702 + 0.470879i
\(330\) 11.1408 11.5804i 0.613282 0.637480i
\(331\) 12.3913 + 14.3004i 0.681090 + 0.786019i 0.986069 0.166340i \(-0.0531948\pi\)
−0.304979 + 0.952359i \(0.598649\pi\)
\(332\) 8.61068 13.3985i 0.472572 0.735337i
\(333\) −4.78639 + 3.49224i −0.262292 + 0.191374i
\(334\) −0.944738 + 6.57080i −0.0516938 + 0.359538i
\(335\) 0.512252 + 2.47638i 0.0279873 + 0.135299i
\(336\) 1.25572 + 3.85152i 0.0685050 + 0.210118i
\(337\) −2.17083 4.75346i −0.118253 0.258938i 0.841245 0.540655i \(-0.181823\pi\)
−0.959498 + 0.281717i \(0.909096\pi\)
\(338\) −8.57526 + 5.51099i −0.466433 + 0.299758i
\(339\) 9.58984 11.7520i 0.520848 0.638279i
\(340\) 1.00642 + 16.4300i 0.0545808 + 0.891040i
\(341\) −4.98982 + 1.46514i −0.270214 + 0.0793419i
\(342\) 5.17032 + 14.3993i 0.279579 + 0.778624i
\(343\) −2.83915 19.7467i −0.153300 1.06622i
\(344\) −6.20945 −0.334791
\(345\) −11.7123 14.4160i −0.630569 0.776133i
\(346\) 3.68732 0.198232
\(347\) −1.50759 10.4855i −0.0809314 0.562890i −0.989431 0.145005i \(-0.953680\pi\)
0.908500 0.417886i \(-0.137229\pi\)
\(348\) −3.71332 4.03777i −0.199055 0.216447i
\(349\) −6.26294 + 1.83896i −0.335247 + 0.0984375i −0.445024 0.895519i \(-0.646805\pi\)
0.109776 + 0.993956i \(0.464987\pi\)
\(350\) 8.67964 + 7.83725i 0.463946 + 0.418919i
\(351\) −24.9261 + 2.21666i −1.33046 + 0.118317i
\(352\) 3.49043 2.24317i 0.186041 0.119561i
\(353\) 4.32225 + 9.46440i 0.230050 + 0.503739i 0.989091 0.147303i \(-0.0470593\pi\)
−0.759041 + 0.651042i \(0.774332\pi\)
\(354\) 6.08084 1.98255i 0.323193 0.105371i
\(355\) 0.843743 0.174533i 0.0447813 0.00926324i
\(356\) 2.21121 15.3793i 0.117194 0.815100i
\(357\) 25.5533 + 15.3742i 1.35242 + 0.813689i
\(358\) −8.60193 + 13.3849i −0.454626 + 0.707412i
\(359\) −15.6130 18.0183i −0.824021 0.950971i 0.175417 0.984494i \(-0.443873\pi\)
−0.999438 + 0.0335237i \(0.989327\pi\)
\(360\) 6.16312 2.64876i 0.324825 0.139602i
\(361\) −5.89545 + 3.78878i −0.310287 + 0.199409i
\(362\) 2.05254 6.99031i 0.107879 0.367402i
\(363\) −9.65531 + 4.75926i −0.506772 + 0.249796i
\(364\) −3.17342 10.8077i −0.166332 0.566476i
\(365\) −12.6668 35.0511i −0.663012 1.83466i
\(366\) 10.1618 + 2.66015i 0.531165 + 0.139048i
\(367\) 11.9447 0.623508 0.311754 0.950163i \(-0.399083\pi\)
0.311754 + 0.950163i \(0.399083\pi\)
\(368\) −2.08059 4.32101i −0.108458 0.225248i
\(369\) 23.3695 22.8029i 1.21657 1.18707i
\(370\) −2.68253 + 3.50812i −0.139458 + 0.182379i
\(371\) −27.9421 12.7607i −1.45068 0.662505i
\(372\) −2.15705 0.245302i −0.111838 0.0127183i
\(373\) 3.67482 4.24097i 0.190275 0.219589i −0.652594 0.757708i \(-0.726319\pi\)
0.842869 + 0.538119i \(0.180865\pi\)
\(374\) 8.60507 29.3062i 0.444958 1.51539i
\(375\) 11.6220 15.4897i 0.600156 0.799883i
\(376\) 2.80591 + 6.14408i 0.144704 + 0.316857i
\(377\) 9.98846 + 11.5273i 0.514432 + 0.593686i
\(378\) 2.37757 11.9183i 0.122289 0.613013i
\(379\) 31.7764 + 4.56875i 1.63224 + 0.234681i 0.896649 0.442742i \(-0.145994\pi\)
0.735593 + 0.677423i \(0.236903\pi\)
\(380\) 6.74020 + 9.19834i 0.345765 + 0.471865i
\(381\) −2.10363 + 1.44153i −0.107772 + 0.0738520i
\(382\) −7.23925 8.35454i −0.370392 0.427455i
\(383\) 21.8950 9.99910i 1.11878 0.510930i 0.231813 0.972760i \(-0.425534\pi\)
0.886968 + 0.461830i \(0.152807\pi\)
\(384\) 1.70639 0.297069i 0.0870786 0.0151597i
\(385\) −10.2041 19.1503i −0.520052 0.975989i
\(386\) 3.75659 + 3.25511i 0.191206 + 0.165681i
\(387\) 16.2390 + 9.12754i 0.825473 + 0.463979i
\(388\) 3.60702 7.89828i 0.183119 0.400974i
\(389\) −1.32775 9.23471i −0.0673196 0.468218i −0.995398 0.0958322i \(-0.969449\pi\)
0.928078 0.372386i \(-0.121460\pi\)
\(390\) −17.3467 + 6.85507i −0.878387 + 0.347120i
\(391\) −32.4057 14.0097i −1.63883 0.708500i
\(392\) −1.52965 −0.0772590
\(393\) 4.36870 + 1.14363i 0.220372 + 0.0576887i
\(394\) 7.86042 17.2119i 0.396002 0.867124i
\(395\) −7.51429 + 13.4331i −0.378085 + 0.675894i
\(396\) −12.4255 + 0.735586i −0.624405 + 0.0369646i
\(397\) 5.07738 17.2920i 0.254826 0.867859i −0.728351 0.685204i \(-0.759713\pi\)
0.983177 0.182655i \(-0.0584690\pi\)
\(398\) 1.71838 + 2.67386i 0.0861347 + 0.134028i
\(399\) 20.6505 0.610718i 1.03382 0.0305742i
\(400\) 3.84489 3.19638i 0.192244 0.159819i
\(401\) 17.3106 + 11.1248i 0.864449 + 0.555548i 0.896050 0.443953i \(-0.146424\pi\)
−0.0316008 + 0.999501i \(0.510061\pi\)
\(402\) 1.00983 1.67844i 0.0503660 0.0837128i
\(403\) 5.97489 + 0.859060i 0.297630 + 0.0427928i
\(404\) −2.06332 + 3.21058i −0.102654 + 0.159732i
\(405\) −20.0113 2.13240i −0.994370 0.105960i
\(406\) −6.73815 + 3.07721i −0.334409 + 0.152719i
\(407\) 6.89357 4.43023i 0.341701 0.219598i
\(408\) 8.06127 9.87877i 0.399092 0.489072i
\(409\) 2.41616 2.78840i 0.119471 0.137877i −0.692863 0.721069i \(-0.743651\pi\)
0.812334 + 0.583192i \(0.198196\pi\)
\(410\) 11.8811 21.2396i 0.586766 1.04895i
\(411\) −10.4810 11.3968i −0.516989 0.562161i
\(412\) −1.59510 11.0942i −0.0785850 0.546571i
\(413\) 8.63667i 0.424983i
\(414\) −0.910483 + 14.3587i −0.0447478 + 0.705689i
\(415\) −25.4385 + 24.9238i −1.24873 + 1.22346i
\(416\) −4.76694 + 0.685382i −0.233718 + 0.0336036i
\(417\) −2.20015 + 2.02336i −0.107742 + 0.0990841i
\(418\) −5.96132 20.3024i −0.291578 0.993022i
\(419\) −14.6560 + 16.9140i −0.715994 + 0.826301i −0.990819 0.135193i \(-0.956834\pi\)
0.274826 + 0.961494i \(0.411380\pi\)
\(420\) −0.820872 9.02117i −0.0400544 0.440188i
\(421\) −7.44651 11.5870i −0.362921 0.564715i 0.610993 0.791636i \(-0.290770\pi\)
−0.973913 + 0.226921i \(0.927134\pi\)
\(422\) 2.57638 + 5.64149i 0.125416 + 0.274623i
\(423\) 1.69344 20.1925i 0.0823379 0.981794i
\(424\) −7.10060 + 11.0487i −0.344836 + 0.536575i
\(425\) 5.98186 36.3181i 0.290163 1.76168i
\(426\) −0.571871 0.344067i −0.0277072 0.0166701i
\(427\) 7.66865 11.9327i 0.371112 0.577462i
\(428\) −8.38518 + 7.26580i −0.405313 + 0.351206i
\(429\) 34.5944 1.02309i 1.67023 0.0493954i
\(430\) 13.5366 + 3.08994i 0.652791 + 0.149010i
\(431\) 17.7323 + 5.20668i 0.854136 + 0.250797i 0.679354 0.733810i \(-0.262260\pi\)
0.174781 + 0.984607i \(0.444078\pi\)
\(432\) −4.89921 1.73139i −0.235713 0.0833018i
\(433\) 20.6839 6.07334i 0.994004 0.291866i 0.256011 0.966674i \(-0.417592\pi\)
0.737993 + 0.674808i \(0.235774\pi\)
\(434\) −1.21781 + 2.66664i −0.0584569 + 0.128003i
\(435\) 6.08575 + 10.6501i 0.291789 + 0.510635i
\(436\) 2.60736i 0.124870i
\(437\) −24.1330 + 3.97245i −1.15444 + 0.190028i
\(438\) −11.2111 + 26.6032i −0.535686 + 1.27115i
\(439\) −1.40002 9.73732i −0.0668191 0.464737i −0.995569 0.0940309i \(-0.970025\pi\)
0.928750 0.370706i \(-0.120884\pi\)
\(440\) −8.72537 + 3.15319i −0.415965 + 0.150322i
\(441\) 4.00034 + 2.24850i 0.190492 + 0.107071i
\(442\) −23.2165 + 26.7933i −1.10430 + 1.27443i
\(443\) −18.5033 5.43306i −0.879119 0.258133i −0.189130 0.981952i \(-0.560567\pi\)
−0.689989 + 0.723820i \(0.742385\pi\)
\(444\) 3.37009 0.586708i 0.159937 0.0278439i
\(445\) −12.4734 + 32.4264i −0.591297 + 1.53716i
\(446\) 1.93268 1.67468i 0.0915152 0.0792984i
\(447\) −19.1773 27.9855i −0.907057 1.32367i
\(448\) 0.332857 2.31507i 0.0157260 0.109377i
\(449\) −36.4667 5.24312i −1.72097 0.247438i −0.790150 0.612914i \(-0.789997\pi\)
−0.930821 + 0.365476i \(0.880906\pi\)
\(450\) −14.7536 + 2.70740i −0.695493 + 0.127628i
\(451\) −34.1279 + 29.5720i −1.60702 + 1.39249i
\(452\) −7.96597 + 3.63794i −0.374688 + 0.171114i
\(453\) 20.6525 3.59545i 0.970340 0.168929i
\(454\) 0.930900 3.17036i 0.0436893 0.148792i
\(455\) 1.53994 + 25.1398i 0.0721936 + 1.17857i
\(456\) 0.998075 8.77654i 0.0467391 0.410999i
\(457\) −2.34541 + 5.13574i −0.109714 + 0.240240i −0.956523 0.291657i \(-0.905793\pi\)
0.846809 + 0.531897i \(0.178521\pi\)
\(458\) 12.9096 1.85612i 0.603224 0.0867306i
\(459\) −35.6030 + 13.9853i −1.66181 + 0.652780i
\(460\) 2.38546 + 10.4551i 0.111223 + 0.487473i
\(461\) 15.4684i 0.720434i 0.932869 + 0.360217i \(0.117297\pi\)
−0.932869 + 0.360217i \(0.882703\pi\)
\(462\) −4.25660 + 16.2603i −0.198035 + 0.756496i
\(463\) 17.5125 + 7.99767i 0.813873 + 0.371683i 0.778464 0.627690i \(-0.215999\pi\)
0.0354090 + 0.999373i \(0.488727\pi\)
\(464\) 0.892286 + 3.03885i 0.0414234 + 0.141075i
\(465\) 4.58030 + 1.60815i 0.212406 + 0.0745760i
\(466\) 0.0398509 + 0.0117013i 0.00184606 + 0.000542051i
\(467\) 4.41370 + 6.86784i 0.204241 + 0.317806i 0.928231 0.372006i \(-0.121330\pi\)
−0.723989 + 0.689811i \(0.757693\pi\)
\(468\) 13.4740 + 5.21472i 0.622834 + 0.241050i
\(469\) −1.73216 1.99901i −0.0799835 0.0923059i
\(470\) −3.05946 14.7903i −0.141122 0.682227i
\(471\) −19.9253 + 33.1176i −0.918109 + 1.52598i
\(472\) −3.65507 0.525520i −0.168238 0.0241890i
\(473\) −21.6737 13.9288i −0.996557 0.640448i
\(474\) 11.3353 3.69568i 0.520650 0.169748i
\(475\) −10.1163 23.4064i −0.464169 1.07396i
\(476\) −9.30854 14.4844i −0.426656 0.663890i
\(477\) 34.8105 18.4572i 1.59386 0.845097i
\(478\) −17.2040 14.9073i −0.786892 0.681845i
\(479\) 32.5854 9.56793i 1.48886 0.437170i 0.566686 0.823934i \(-0.308225\pi\)
0.922179 + 0.386764i \(0.126407\pi\)
\(480\) −3.86774 0.201519i −0.176537 0.00919806i
\(481\) −9.41465 + 1.35362i −0.429271 + 0.0617198i
\(482\) 0.854717i 0.0389313i
\(483\) 18.0531 + 7.17906i 0.821446 + 0.326658i
\(484\) 6.21492 0.282496
\(485\) −11.7936 + 15.4233i −0.535520 + 0.700335i
\(486\) 10.2674 + 11.7295i 0.465737 + 0.532061i
\(487\) 4.71268 + 16.0499i 0.213552 + 0.727291i 0.994689 + 0.102931i \(0.0328220\pi\)
−0.781137 + 0.624360i \(0.785360\pi\)
\(488\) −4.58333 3.97147i −0.207477 0.179780i
\(489\) 1.13409 1.38978i 0.0512852 0.0628480i
\(490\) 3.33463 + 0.761181i 0.150643 + 0.0343867i
\(491\) −29.8520 + 13.6330i −1.34720 + 0.615247i −0.952774 0.303680i \(-0.901785\pi\)
−0.394429 + 0.918927i \(0.629058\pi\)
\(492\) −17.9227 + 5.84337i −0.808018 + 0.263439i
\(493\) 19.6137 + 12.6049i 0.883356 + 0.567698i
\(494\) −3.49531 + 24.3104i −0.157261 + 1.09378i
\(495\) 27.4536 + 4.57958i 1.23395 + 0.205837i
\(496\) 1.05443 + 0.677641i 0.0473453 + 0.0304270i
\(497\) −0.681097 + 0.590174i −0.0305514 + 0.0264729i
\(498\) 27.5740 0.815471i 1.23562 0.0365421i
\(499\) 9.07107 5.82962i 0.406077 0.260970i −0.321620 0.946869i \(-0.604227\pi\)
0.727697 + 0.685899i \(0.240591\pi\)
\(500\) −9.97241 + 5.05480i −0.445980 + 0.226058i
\(501\) −10.3132 + 5.08353i −0.460759 + 0.227115i
\(502\) 4.76766 1.39991i 0.212791 0.0624811i
\(503\) −6.63077 3.02817i −0.295651 0.135019i 0.262067 0.965050i \(-0.415596\pi\)
−0.557718 + 0.830030i \(0.688323\pi\)
\(504\) −4.27351 + 5.56509i −0.190357 + 0.247889i
\(505\) 6.09566 5.97231i 0.271253 0.265764i
\(506\) 2.43058 19.7493i 0.108053 0.877964i
\(507\) −16.2698 6.85642i −0.722569 0.304504i
\(508\) 1.45735 0.209535i 0.0646593 0.00929660i
\(509\) 31.9324 + 14.5830i 1.41538 + 0.646381i 0.968682 0.248304i \(-0.0798733\pi\)
0.446696 + 0.894686i \(0.352601\pi\)
\(510\) −22.4894 + 17.5242i −0.995846 + 0.775986i
\(511\) 29.4616 + 25.5286i 1.30330 + 1.12932i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −15.5112 + 21.4853i −0.684835 + 0.948599i
\(514\) 10.1520 + 22.2298i 0.447786 + 0.980516i
\(515\) −2.04335 + 24.9790i −0.0900407 + 1.10071i
\(516\) −6.07956 8.87191i −0.267638 0.390564i
\(517\) −3.98835 + 27.7396i −0.175408 + 1.21999i
\(518\) 0.657389 4.57224i 0.0288840 0.200893i
\(519\) 3.61019 + 5.26835i 0.158470 + 0.231255i
\(520\) 10.7330 + 0.877984i 0.470671 + 0.0385022i
\(521\) 12.7175 + 27.8474i 0.557162 + 1.22001i 0.953356 + 0.301848i \(0.0976035\pi\)
−0.396194 + 0.918167i \(0.629669\pi\)
\(522\) 2.13343 9.25880i 0.0933776 0.405247i
\(523\) −20.3869 5.98613i −0.891456 0.261755i −0.196240 0.980556i \(-0.562873\pi\)
−0.695216 + 0.718801i \(0.744691\pi\)
\(524\) −1.97044 1.70739i −0.0860789 0.0745878i
\(525\) −2.69960 + 20.0746i −0.117820 + 0.876126i
\(526\) 17.3549 + 7.92573i 0.756711 + 0.345578i
\(527\) 9.13298 1.31312i 0.397839 0.0572006i
\(528\) 6.62240 + 2.79080i 0.288203 + 0.121454i
\(529\) −22.3137 5.57683i −0.970159 0.242471i
\(530\) 20.9773 20.5528i 0.911197 0.892758i
\(531\) 8.78625 + 6.74708i 0.381291 + 0.292798i
\(532\) −10.8499 4.95499i −0.470403 0.214826i
\(533\) 50.2925 14.7672i 2.17841 0.639639i
\(534\) 24.1385 11.8982i 1.04457 0.514888i
\(535\) 21.8952 11.6668i 0.946613 0.504399i
\(536\) −0.951387 + 0.611420i −0.0410937 + 0.0264093i
\(537\) −27.5460 + 0.814643i −1.18870 + 0.0351545i
\(538\) 6.97976 6.04800i 0.300919 0.260748i
\(539\) −5.33914 3.43126i −0.229973 0.147795i
\(540\) 9.81868 + 6.21237i 0.422529 + 0.267338i
\(541\) 0.666518 4.63574i 0.0286559 0.199306i −0.970464 0.241245i \(-0.922444\pi\)
0.999120 + 0.0419388i \(0.0133535\pi\)
\(542\) −11.7863 7.57462i −0.506267 0.325358i
\(543\) 11.9972 3.91146i 0.514848 0.167857i
\(544\) −6.69624 + 3.05807i −0.287099 + 0.131114i
\(545\) 1.29747 5.68402i 0.0555774 0.243477i
\(546\) 12.3347 15.1157i 0.527876 0.646892i
\(547\) −13.7006 11.8717i −0.585797 0.507596i 0.310781 0.950482i \(-0.399409\pi\)
−0.896578 + 0.442885i \(0.853955\pi\)
\(548\) 2.51851 + 8.57727i 0.107586 + 0.366403i
\(549\) 6.14847 + 17.1234i 0.262410 + 0.730810i
\(550\) 20.5903 2.53203i 0.877975 0.107966i
\(551\) 16.1518 0.688089
\(552\) 4.13669 7.20332i 0.176069 0.306594i
\(553\) 16.0997i 0.684629i
\(554\) −17.9665 + 2.58319i −0.763323 + 0.109749i
\(555\) −7.63874 0.397999i −0.324246 0.0168941i
\(556\) 1.65584 0.486199i 0.0702234 0.0206194i
\(557\) 21.6358 + 18.7475i 0.916737 + 0.794357i 0.979033 0.203700i \(-0.0652968\pi\)
−0.0622960 + 0.998058i \(0.519842\pi\)
\(558\) −1.76145 3.32212i −0.0745681 0.140636i
\(559\) 16.1676 + 25.1572i 0.683815 + 1.06404i
\(560\) −1.87765 + 4.88121i −0.0793451 + 0.206269i
\(561\) 50.2970 16.3984i 2.12354 0.692342i
\(562\) 10.1222 + 6.50514i 0.426979 + 0.274403i
\(563\) −6.95926 1.00059i −0.293298 0.0421699i −0.00590472 0.999983i \(-0.501880\pi\)
−0.287393 + 0.957813i \(0.592789\pi\)
\(564\) −6.03130 + 10.0246i −0.253964 + 0.422110i
\(565\) 19.1761 3.96667i 0.806743 0.166879i
\(566\) 11.0205 + 12.7184i 0.463227 + 0.534593i
\(567\) 19.3565 8.27201i 0.812895 0.347392i
\(568\) 0.208321 + 0.324153i 0.00874094 + 0.0136012i
\(569\) 9.35550 + 2.74702i 0.392203 + 0.115161i 0.471887 0.881659i \(-0.343573\pi\)
−0.0796842 + 0.996820i \(0.525391\pi\)
\(570\) −6.54316 + 18.6362i −0.274063 + 0.780582i
\(571\) −5.33238 18.1604i −0.223153 0.759989i −0.992616 0.121298i \(-0.961294\pi\)
0.769463 0.638691i \(-0.220524\pi\)
\(572\) −18.1761 8.30075i −0.759981 0.347072i
\(573\) 4.84895 18.5230i 0.202568 0.773811i
\(574\) 25.4558i 1.06250i
\(575\) 0.00236189 23.9792i 9.84975e−5 1.00000i
\(576\) 2.09513 + 2.14719i 0.0872973 + 0.0894661i
\(577\) −24.8903 + 3.57868i −1.03620 + 0.148982i −0.639360 0.768907i \(-0.720801\pi\)
−0.396836 + 0.917890i \(0.629892\pi\)
\(578\) −15.4499 + 33.8305i −0.642629 + 1.40716i
\(579\) −0.972807 + 8.55434i −0.0404285 + 0.355506i
\(580\) −0.432994 7.06869i −0.0179791 0.293511i
\(581\) 10.4948 35.7419i 0.435397 1.48282i
\(582\) 14.8164 2.57943i 0.614161 0.106921i
\(583\) −49.5683 + 22.6371i −2.05291 + 0.937533i
\(584\) 12.5965 10.9149i 0.521245 0.451662i
\(585\) −26.7782 18.0729i −1.10714 0.747224i
\(586\) −7.72025 1.11000i −0.318921 0.0458539i
\(587\) −6.28755 + 43.7309i −0.259515 + 1.80497i 0.276778 + 0.960934i \(0.410733\pi\)
−0.536293 + 0.844032i \(0.680176\pi\)
\(588\) −1.49765 2.18553i −0.0617621 0.0901296i
\(589\) 4.83083 4.18594i 0.199051 0.172478i
\(590\) 7.70652 + 2.96446i 0.317273 + 0.122045i
\(591\) 32.2880 5.62109i 1.32815 0.231221i
\(592\) −1.89499 0.556419i −0.0778835 0.0228687i
\(593\) 16.1300 18.6150i 0.662379 0.764426i −0.320785 0.947152i \(-0.603947\pi\)
0.983164 + 0.182726i \(0.0584922\pi\)
\(594\) −13.2166 17.0331i −0.542282 0.698875i
\(595\) 13.0849 + 36.2079i 0.536428 + 1.48438i
\(596\) 2.78753 + 19.3877i 0.114182 + 0.794151i
\(597\) −2.13790 + 5.07310i −0.0874985 + 0.207628i
\(598\) −12.0891 + 19.6800i −0.494359 + 0.804776i
\(599\) 5.65818i 0.231187i 0.993297 + 0.115594i \(0.0368770\pi\)
−0.993297 + 0.115594i \(0.963123\pi\)
\(600\) 8.33137 + 2.36397i 0.340127 + 0.0965085i
\(601\) −3.82773 + 8.38156i −0.156136 + 0.341891i −0.971493 0.237068i \(-0.923814\pi\)
0.815357 + 0.578959i \(0.196541\pi\)
\(602\) −13.9349 + 4.09164i −0.567943 + 0.166763i
\(603\) 3.38682 0.200499i 0.137922 0.00816494i
\(604\) −11.6128 3.40983i −0.472519 0.138744i
\(605\) −13.5485 3.09265i −0.550824 0.125734i
\(606\) −6.60736 + 0.195406i −0.268406 + 0.00793782i
\(607\) −24.4841 + 21.2156i −0.993779 + 0.861114i −0.990309 0.138880i \(-0.955650\pi\)
−0.00346955 + 0.999994i \(0.501104\pi\)
\(608\) −2.75716 + 4.29022i −0.111818 + 0.173992i
\(609\) −10.9938 6.61446i −0.445493 0.268032i
\(610\) 8.01535 + 10.9385i 0.324532 + 0.442888i
\(611\) 17.5866 27.3653i 0.711479 1.10708i
\(612\) 22.0072 + 1.84563i 0.889588 + 0.0746051i
\(613\) 3.45586 + 7.56728i 0.139581 + 0.305640i 0.966494 0.256691i \(-0.0826322\pi\)
−0.826913 + 0.562330i \(0.809905\pi\)
\(614\) −7.71243 12.0008i −0.311248 0.484312i
\(615\) 41.9792 3.81985i 1.69276 0.154031i
\(616\) 6.35490 7.33395i 0.256046 0.295493i
\(617\) 5.79932 + 19.7507i 0.233472 + 0.795132i 0.989987 + 0.141156i \(0.0450821\pi\)
−0.756515 + 0.653976i \(0.773100\pi\)
\(618\) 14.2893 13.1411i 0.574802 0.528614i
\(619\) 3.01004 0.432778i 0.120984 0.0173948i −0.0815570 0.996669i \(-0.525989\pi\)
0.202541 + 0.979274i \(0.435080\pi\)
\(620\) −1.96144 2.00196i −0.0787735 0.0804005i
\(621\) −21.4067 + 12.7574i −0.859023 + 0.511938i
\(622\) 11.4743i 0.460078i
\(623\) −5.17174 35.9703i −0.207202 1.44112i
\(624\) −5.64648 6.13984i −0.226040 0.245790i
\(625\) 24.2552 6.05699i 0.970206 0.242280i
\(626\) −6.95776 + 8.02969i −0.278088 + 0.320931i
\(627\) 23.1709 28.3951i 0.925358 1.13399i
\(628\) 18.7721 12.0641i 0.749086 0.481409i
\(629\) −13.2250 + 6.03965i −0.527315 + 0.240817i
\(630\) 12.0855 10.0053i 0.481499 0.398621i
\(631\) 8.35360 12.9985i 0.332552 0.517460i −0.634203 0.773167i \(-0.718672\pi\)
0.966755 + 0.255706i \(0.0823080\pi\)
\(632\) −6.81345 0.979626i −0.271024 0.0389674i
\(633\) −5.53794 + 9.20455i −0.220113 + 0.365848i
\(634\) −18.5528 11.9232i −0.736828 0.473530i
\(635\) −3.28127 0.268417i −0.130213 0.0106518i
\(636\) −22.7382 + 0.672460i −0.901630 + 0.0266648i
\(637\) 3.98275 + 6.19728i 0.157802 + 0.245545i
\(638\) −3.70217 + 12.6084i −0.146570 + 0.499173i
\(639\) −0.0683132 1.15395i −0.00270243 0.0456494i
\(640\) 1.95149 + 1.09164i 0.0771396 + 0.0431507i
\(641\) −6.34196 + 13.8870i −0.250492 + 0.548502i −0.992551 0.121834i \(-0.961123\pi\)
0.742058 + 0.670336i \(0.233850\pi\)
\(642\) −18.5910 4.86673i −0.733727 0.192074i
\(643\) −40.8285 −1.61012 −0.805059 0.593194i \(-0.797867\pi\)
−0.805059 + 0.593194i \(0.797867\pi\)
\(644\) −7.51641 8.32596i −0.296188 0.328089i
\(645\) 8.83858 + 22.3660i 0.348019 + 0.880661i
\(646\) 5.34279 + 37.1599i 0.210209 + 1.46204i
\(647\) −1.73917 + 3.80826i −0.0683740 + 0.149718i −0.940733 0.339147i \(-0.889862\pi\)
0.872359 + 0.488865i \(0.162589\pi\)
\(648\) −2.32295 8.69505i −0.0912542 0.341574i
\(649\) −11.5789 10.0332i −0.454513 0.393838i
\(650\) −22.9609 7.25491i −0.900600 0.284561i
\(651\) −5.00236 + 0.870874i −0.196058 + 0.0341322i
\(652\) −0.942050 + 0.430220i −0.0368935 + 0.0168487i
\(653\) −28.5889 32.9934i −1.11877 1.29113i −0.952327 0.305079i \(-0.901317\pi\)
−0.166443 0.986051i \(-0.553228\pi\)
\(654\) −3.72533 + 2.55281i −0.145672 + 0.0998229i
\(655\) 3.44591 + 4.70263i 0.134643 + 0.183747i
\(656\) 10.7730 + 1.54892i 0.420614 + 0.0604752i
\(657\) −48.9865 + 10.0285i −1.91115 + 0.391251i
\(658\) 10.3454 + 11.9392i 0.403306 + 0.465440i
\(659\) −6.61988 14.4955i −0.257874 0.564665i 0.735770 0.677231i \(-0.236820\pi\)
−0.993644 + 0.112566i \(0.964093\pi\)
\(660\) −13.0480 9.37936i −0.507894 0.365091i
\(661\) −10.1310 + 34.5031i −0.394051 + 1.34201i 0.488815 + 0.872388i \(0.337429\pi\)
−0.882865 + 0.469626i \(0.844389\pi\)
\(662\) 12.3913 14.3004i 0.481603 0.555800i
\(663\) −61.0124 6.93838i −2.36952 0.269464i
\(664\) −14.4875 6.61623i −0.562225 0.256760i
\(665\) 21.1871 + 16.2010i 0.821599 + 0.628246i
\(666\) 4.13787 + 4.24067i 0.160339 + 0.164323i
\(667\) 13.9420 + 6.02740i 0.539835 + 0.233382i
\(668\) 6.63837 0.256846
\(669\) 4.28500 + 1.12172i 0.165667 + 0.0433683i
\(670\) 2.37827 0.859464i 0.0918807 0.0332040i
\(671\) −7.08912 24.1433i −0.273672 0.932043i
\(672\) 3.63361 1.79107i 0.140170 0.0690918i
\(673\) −3.21079 + 10.9349i −0.123767 + 0.421511i −0.997944 0.0640967i \(-0.979583\pi\)
0.874177 + 0.485608i \(0.161402\pi\)
\(674\) −4.39614 + 2.82523i −0.169333 + 0.108824i
\(675\) −18.3133 18.4289i −0.704879 0.709328i
\(676\) 6.67528 + 7.70368i 0.256742 + 0.296296i
\(677\) −4.19917 + 6.53403i −0.161387 + 0.251123i −0.912524 0.409023i \(-0.865869\pi\)
0.751137 + 0.660146i \(0.229506\pi\)
\(678\) −12.9971 7.81975i −0.499152 0.300316i
\(679\) 2.89018 20.1016i 0.110915 0.771429i
\(680\) 16.1195 3.33441i 0.618155 0.127869i
\(681\) 5.44115 1.77399i 0.208505 0.0679794i
\(682\) 2.16036 + 4.73052i 0.0827243 + 0.181141i
\(683\) 20.9750 13.4798i 0.802585 0.515790i −0.0738735 0.997268i \(-0.523536\pi\)
0.876458 + 0.481478i \(0.159900\pi\)
\(684\) 13.5169 7.16692i 0.516832 0.274034i
\(685\) −1.22214 19.9517i −0.0466956 0.762313i
\(686\) −19.1417 + 5.62051i −0.730834 + 0.214592i
\(687\) 15.2915 + 16.6276i 0.583407 + 0.634382i
\(688\) 0.883697 + 6.14625i 0.0336906 + 0.234324i
\(689\) 63.2512 2.40968
\(690\) −12.6025 + 13.6447i −0.479767 + 0.519445i
\(691\) −16.5361 −0.629062 −0.314531 0.949247i \(-0.601847\pi\)
−0.314531 + 0.949247i \(0.601847\pi\)
\(692\) −0.524760 3.64979i −0.0199484 0.138744i
\(693\) −27.3998 + 9.83839i −1.04083 + 0.373730i
\(694\) −10.1642 + 2.98448i −0.385828 + 0.113289i
\(695\) −3.85167 + 0.235935i −0.146102 + 0.00894951i
\(696\) −3.46821 + 4.25016i −0.131462 + 0.161102i
\(697\) 67.4017 43.3164i 2.55302 1.64073i
\(698\) 2.71155 + 5.93748i 0.102634 + 0.224737i
\(699\) 0.0222988 + 0.0683945i 0.000843417 + 0.00258692i
\(700\) 6.52224 9.70666i 0.246517 0.366877i
\(701\) 3.47838 24.1927i 0.131377 0.913744i −0.812386 0.583120i \(-0.801832\pi\)
0.943763 0.330624i \(-0.107259\pi\)
\(702\) 5.74145 + 24.3569i 0.216697 + 0.919292i
\(703\) −5.44536 + 8.47314i −0.205376 + 0.319571i
\(704\) −2.71707 3.13567i −0.102404 0.118180i
\(705\) 18.1366 18.8522i 0.683064 0.710016i
\(706\) 8.75294 5.62517i 0.329421 0.211706i
\(707\) −2.51479 + 8.56459i −0.0945784 + 0.322104i
\(708\) −2.82776 5.73680i −0.106274 0.215602i
\(709\) 4.91152 + 16.7271i 0.184456 + 0.628199i 0.998853 + 0.0478907i \(0.0152499\pi\)
−0.814397 + 0.580309i \(0.802932\pi\)
\(710\) −0.292833 0.810317i −0.0109898 0.0304106i
\(711\) 16.3785 + 12.5773i 0.614243 + 0.471685i
\(712\) −15.5374 −0.582290
\(713\) 5.73197 1.81050i 0.214664 0.0678038i
\(714\) 11.5811 27.4812i 0.433412 1.02846i
\(715\) 35.4932 + 27.1403i 1.32737 + 1.01499i
\(716\) 14.4728 + 6.60951i 0.540874 + 0.247009i
\(717\) 4.45514 39.1761i 0.166380 1.46306i
\(718\) −15.6130 + 18.0183i −0.582671 + 0.672438i
\(719\) 2.19385 7.47155i 0.0818166 0.278642i −0.908416 0.418068i \(-0.862707\pi\)
0.990233 + 0.139426i \(0.0445257\pi\)
\(720\) −3.49890 5.72343i −0.130396 0.213300i
\(721\) −10.8900 23.8458i −0.405565 0.888063i
\(722\) 4.58922 + 5.29625i 0.170793 + 0.197106i
\(723\) −1.22120 + 0.836838i −0.0454169 + 0.0311223i
\(724\) −7.21126 1.03682i −0.268004 0.0385332i
\(725\) −2.57358 + 15.6252i −0.0955805 + 0.580304i
\(726\) 6.08491 + 8.87972i 0.225832 + 0.329557i
\(727\) −4.52057 5.21702i −0.167659 0.193489i 0.665702 0.746217i \(-0.268132\pi\)
−0.833361 + 0.552729i \(0.813587\pi\)
\(728\) −10.2460 + 4.67921i −0.379743 + 0.173423i
\(729\) −6.70625 + 26.1539i −0.248379 + 0.968663i
\(730\) −32.8917 + 17.5262i −1.21738 + 0.648673i
\(731\) 34.5459 + 29.9342i 1.27773 + 1.10716i
\(732\) 1.18690 10.4369i 0.0438690 0.385760i
\(733\) 15.6214 34.2061i 0.576989 1.26343i −0.366003 0.930614i \(-0.619274\pi\)
0.942992 0.332816i \(-0.107999\pi\)
\(734\) −1.69991 11.8231i −0.0627448 0.436399i
\(735\) 2.17731 + 5.50969i 0.0803115 + 0.203228i
\(736\) −3.98093 + 2.67436i −0.146739 + 0.0985781i
\(737\) −4.69227 −0.172842
\(738\) −25.8966 19.8864i −0.953269 0.732028i
\(739\) −2.79524 + 6.12073i −0.102825 + 0.225155i −0.954051 0.299644i \(-0.903132\pi\)
0.851226 + 0.524799i \(0.175859\pi\)
\(740\) 3.85418 + 2.15597i 0.141682 + 0.0792550i
\(741\) −38.1563 + 18.8079i −1.40171 + 0.690924i
\(742\) −8.65428 + 29.4738i −0.317709 + 1.08202i
\(743\) −19.2016 29.8783i −0.704440 1.09613i −0.990446 0.137902i \(-0.955964\pi\)
0.286006 0.958228i \(-0.407672\pi\)
\(744\) 0.0641757 + 2.17001i 0.00235280 + 0.0795564i
\(745\) 3.57087 43.6522i 0.130826 1.59929i
\(746\) −4.72078 3.03386i −0.172840 0.111078i
\(747\) 28.1623 + 38.5986i 1.03040 + 1.41225i
\(748\) −30.2325 4.34678i −1.10541 0.158934i
\(749\) −14.0298 + 21.8308i −0.512637 + 0.797678i
\(750\) −16.9860 9.29927i −0.620240 0.339561i
\(751\) 17.5657 8.02199i 0.640982 0.292727i −0.0682859 0.997666i \(-0.521753\pi\)
0.709268 + 0.704939i \(0.249026\pi\)
\(752\) 5.68222 3.65174i 0.207209 0.133165i
\(753\) 6.66808 + 5.44129i 0.242999 + 0.198292i
\(754\) 9.98846 11.5273i 0.363758 0.419800i
\(755\) 23.6191 + 13.2122i 0.859587 + 0.480840i
\(756\) −12.1354 0.657210i −0.441360 0.0239025i
\(757\) 2.79276 + 19.4241i 0.101505 + 0.705981i 0.975492 + 0.220033i \(0.0706165\pi\)
−0.873988 + 0.485948i \(0.838474\pi\)
\(758\) 32.1031i 1.16604i
\(759\) 30.5971 15.8634i 1.11060 0.575806i
\(760\) 8.14548 7.98065i 0.295468 0.289489i
\(761\) 15.0024 2.15702i 0.543838 0.0781921i 0.135080 0.990835i \(-0.456871\pi\)
0.408758 + 0.912643i \(0.365962\pi\)
\(762\) 1.72624 + 1.87707i 0.0625350 + 0.0679990i
\(763\) 1.71809 + 5.85127i 0.0621989 + 0.211830i
\(764\) −7.23925 + 8.35454i −0.261907 + 0.302256i
\(765\) −47.0571 14.9746i −1.70135 0.541409i
\(766\) −13.0133 20.2491i −0.470190 0.731629i
\(767\) 7.38760 + 16.1766i 0.266751 + 0.584103i
\(768\) −0.536889 1.64674i −0.0193733 0.0594216i
\(769\) −5.21934 + 8.12145i −0.188214 + 0.292867i −0.922518 0.385954i \(-0.873872\pi\)
0.734304 + 0.678821i \(0.237509\pi\)
\(770\) −17.5032 + 12.8257i −0.630770 + 0.462205i
\(771\) −21.8218 + 36.2698i −0.785892 + 1.30622i
\(772\) 2.68736 4.18161i 0.0967200 0.150499i
\(773\) −14.3883 + 12.4675i −0.517510 + 0.448425i −0.874037 0.485860i \(-0.838506\pi\)
0.356526 + 0.934285i \(0.383961\pi\)