Properties

Label 690.2.n.a.89.12
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 89.12
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.0512012 - 1.73129i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.182307 + 2.22862i) q^{5} +(-1.72096 + 0.195709i) q^{6} +(1.96759 - 1.26449i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.99476 - 0.177289i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.0512012 - 1.73129i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.182307 + 2.22862i) q^{5} +(-1.72096 + 0.195709i) q^{6} +(1.96759 - 1.26449i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.99476 - 0.177289i) q^{9} +(2.17999 - 0.497618i) q^{10} +(0.590477 - 4.10685i) q^{11} +(0.438635 + 1.67559i) q^{12} +(-2.60370 + 4.05144i) q^{13} +(-1.53164 - 1.76761i) q^{14} +(3.86774 - 0.201519i) q^{15} +(0.841254 - 0.540641i) q^{16} +(2.07397 - 7.06329i) q^{17} +(0.250714 + 2.98951i) q^{18} +(-1.43678 - 4.89322i) q^{19} +(-0.802799 - 2.08699i) q^{20} +(-2.08847 - 3.47122i) q^{21} -4.14909 q^{22} +(0.585811 - 4.75992i) q^{23} +(1.59611 - 0.672631i) q^{24} +(-4.93353 + 0.812589i) q^{25} +(4.38075 + 2.00062i) q^{26} +(-0.460274 + 5.17573i) q^{27} +(-1.53164 + 1.76761i) q^{28} +(0.892286 - 3.03885i) q^{29} +(-0.749905 - 3.79969i) q^{30} +(0.520682 + 1.14014i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-7.07994 - 1.23256i) q^{33} +(-7.28655 - 1.04765i) q^{34} +(3.17679 + 4.15449i) q^{35} +(2.92340 - 0.673613i) q^{36} +(1.29334 + 1.49260i) q^{37} +(-4.63894 + 2.11853i) q^{38} +(6.88092 + 4.71521i) q^{39} +(-1.95149 + 1.09164i) q^{40} +(-8.22539 - 7.12734i) q^{41} +(-3.13867 + 2.56121i) 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} +(-0.892935 - 1.48414i) q^{48} +(-0.635439 + 1.39142i) q^{49} +(1.50643 + 4.76767i) q^{50} +(-12.1224 - 3.95230i) q^{51} +(1.35681 - 4.62088i) q^{52} +(7.10060 + 11.0487i) q^{53} +(5.18855 - 0.280994i) q^{54} +(9.26028 + 0.567240i) q^{55} +(1.96759 + 1.26449i) q^{56} +(-8.54517 + 2.23695i) q^{57} +(-3.13490 - 0.450731i) q^{58} +(1.99640 - 3.10646i) q^{59} +(-3.65429 + 1.28302i) q^{60} +(-5.51656 + 2.51933i) q^{61} +(1.05443 - 0.677641i) q^{62} +(-6.11663 + 3.43802i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-9.50381 - 5.06407i) q^{65} +(-0.212438 + 7.18329i) q^{66} +(-0.160946 - 1.11941i) q^{67} +7.36148i q^{68} +(-8.21082 - 1.25793i) q^{69} +(3.66010 - 3.73570i) q^{70} +(-0.381400 + 0.0548370i) q^{71} +(-1.08280 - 2.79778i) q^{72} +(4.69578 + 15.9924i) q^{73} +(1.29334 - 1.49260i) q^{74} +(1.15423 + 8.58299i) q^{75} +(2.75716 + 4.29022i) q^{76} +(-4.03127 - 8.82726i) q^{77} +(3.68796 - 7.48193i) q^{78} +(-3.72151 + 5.79078i) q^{79} +(1.35825 + 1.77627i) q^{80} +(8.93714 + 1.06187i) q^{81} +(-5.88420 + 9.15600i) q^{82} +(-12.0367 + 10.4298i) q^{83} +(2.98182 + 2.74222i) q^{84} +(16.1195 + 3.33441i) q^{85} +(-5.95793 - 1.74940i) q^{86} +(-5.21545 - 1.70040i) q^{87} +(3.98102 - 1.16893i) q^{88} +(6.45448 - 14.1333i) q^{89} +(-6.61678 + 1.10376i) q^{90} +11.2639i q^{91} +(0.778942 + 4.73215i) q^{92} +(2.00057 - 0.843078i) q^{93} +(-0.961261 - 6.68572i) q^{94} +(10.6432 - 4.09411i) q^{95} +(-1.34195 + 1.09506i) q^{96} +(5.68611 - 6.56212i) q^{97} +(1.46769 + 0.430952i) q^{98} +(-2.49643 + 12.1943i) 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
\(3\) 0.0512012 1.73129i 0.0295610 0.999563i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 0.182307 + 2.22862i 0.0815303 + 0.996671i
\(6\) −1.72096 + 0.195709i −0.702578 + 0.0798978i
\(7\) 1.96759 1.26449i 0.743679 0.477933i −0.113122 0.993581i \(-0.536085\pi\)
0.856801 + 0.515648i \(0.172449\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −2.99476 0.177289i −0.998252 0.0590962i
\(10\) 2.17999 0.497618i 0.689375 0.157361i
\(11\) 0.590477 4.10685i 0.178035 1.23826i −0.683266 0.730169i \(-0.739441\pi\)
0.861302 0.508094i \(-0.169650\pi\)
\(12\) 0.438635 + 1.67559i 0.126623 + 0.483701i
\(13\) −2.60370 + 4.05144i −0.722137 + 1.12367i 0.265071 + 0.964229i \(0.414605\pi\)
−0.987208 + 0.159438i \(0.949032\pi\)
\(14\) −1.53164 1.76761i −0.409348 0.472413i
\(15\) 3.86774 0.201519i 0.998645 0.0520321i
\(16\) 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 \(-0.260290\pi\)
\(18\) 0.250714 + 2.98951i 0.0590939 + 0.704633i
\(19\) −1.43678 4.89322i −0.329620 1.12258i −0.943000 0.332794i \(-0.892009\pi\)
0.613380 0.789788i \(-0.289809\pi\)
\(20\) −0.802799 2.08699i −0.179511 0.466664i
\(21\) −2.08847 3.47122i −0.455741 0.757482i
\(22\) −4.14909 −0.884588
\(23\) 0.585811 4.75992i 0.122150 0.992512i
\(24\) 1.59611 0.672631i 0.325805 0.137300i
\(25\) −4.93353 + 0.812589i −0.986706 + 0.162518i
\(26\) 4.38075 + 2.00062i 0.859135 + 0.392354i
\(27\) −0.460274 + 5.17573i −0.0885798 + 0.996069i
\(28\) −1.53164 + 1.76761i −0.289453 + 0.334046i
\(29\) 0.892286 3.03885i 0.165693 0.564300i −0.834224 0.551426i \(-0.814084\pi\)
0.999917 0.0128738i \(-0.00409797\pi\)
\(30\) −0.749905 3.79969i −0.136913 0.693725i
\(31\) 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
\(33\) −7.07994 1.23256i −1.23246 0.214562i
\(34\) −7.28655 1.04765i −1.24963 0.179670i
\(35\) 3.17679 + 4.15449i 0.536975 + 0.702237i
\(36\) 2.92340 0.673613i 0.487233 0.112269i
\(37\) 1.29334 + 1.49260i 0.212624 + 0.245381i 0.852036 0.523483i \(-0.175368\pi\)
−0.639412 + 0.768864i \(0.720822\pi\)
\(38\) −4.63894 + 2.11853i −0.752535 + 0.343671i
\(39\) 6.88092 + 4.71521i 1.10183 + 0.755038i
\(40\) −1.95149 + 1.09164i −0.308558 + 0.172603i
\(41\) −8.22539 7.12734i −1.28459 1.11310i −0.987393 0.158288i \(-0.949403\pi\)
−0.297197 0.954816i \(-0.596052\pi\)
\(42\) −3.13867 + 2.56121i −0.484307 + 0.395204i
\(43\) 2.57950 5.64832i 0.393370 0.861360i −0.604530 0.796583i \(-0.706639\pi\)
0.997900 0.0647776i \(-0.0206338\pi\)
\(44\) 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 \(0.336039\pi\)
\(48\) −0.892935 1.48414i −0.128884 0.214217i
\(49\) −0.635439 + 1.39142i −0.0907771 + 0.198774i
\(50\) 1.50643 + 4.76767i 0.213042 + 0.674250i
\(51\) −12.1224 3.95230i −1.69748 0.553432i
\(52\) 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 \(0.460263\pi\)
\(54\) 5.18855 0.280994i 0.706072 0.0382384i
\(55\) 9.26028 + 0.567240i 1.24866 + 0.0764866i
\(56\) 1.96759 + 1.26449i 0.262930 + 0.168975i
\(57\) −8.54517 + 2.23695i −1.13184 + 0.296291i
\(58\) −3.13490 0.450731i −0.411633 0.0591839i
\(59\) 1.99640 3.10646i 0.259909 0.404427i −0.686634 0.727003i \(-0.740913\pi\)
0.946543 + 0.322577i \(0.104549\pi\)
\(60\) −3.65429 + 1.28302i −0.471767 + 0.165638i
\(61\) −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
\(63\) −6.11663 + 3.43802i −0.770623 + 0.433149i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −9.50381 5.06407i −1.17880 0.628120i
\(66\) −0.212438 + 7.18329i −0.0261493 + 0.884202i
\(67\) −0.160946 1.11941i −0.0196627 0.136757i 0.977625 0.210353i \(-0.0674615\pi\)
−0.997288 + 0.0735963i \(0.976552\pi\)
\(68\) 7.36148i 0.892710i
\(69\) −8.21082 1.25793i −0.988467 0.151436i
\(70\) 3.66010 3.73570i 0.437466 0.446501i
\(71\) −0.381400 + 0.0548370i −0.0452638 + 0.00650796i −0.164910 0.986309i \(-0.552733\pi\)
0.119646 + 0.992817i \(0.461824\pi\)
\(72\) −1.08280 2.79778i −0.127609 0.329721i
\(73\) 4.69578 + 15.9924i 0.549599 + 1.87176i 0.486347 + 0.873766i \(0.338329\pi\)
0.0632528 + 0.997998i \(0.479853\pi\)
\(74\) 1.29334 1.49260i 0.150348 0.173511i
\(75\) 1.15423 + 8.58299i 0.133279 + 0.991079i
\(76\) 2.75716 + 4.29022i 0.316268 + 0.492122i
\(77\) −4.03127 8.82726i −0.459406 1.00596i
\(78\) 3.68796 7.48193i 0.417579 0.847162i
\(79\) −3.72151 + 5.79078i −0.418702 + 0.651513i −0.984974 0.172706i \(-0.944749\pi\)
0.566271 + 0.824219i \(0.308385\pi\)
\(80\) 1.35825 + 1.77627i 0.151857 + 0.198594i
\(81\) 8.93714 + 1.06187i 0.993015 + 0.117986i
\(82\) −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 \(0.934182\pi\)
\(84\) 2.98182 + 2.74222i 0.325344 + 0.299201i
\(85\) 16.1195 + 3.33441i 1.74841 + 0.361667i
\(86\) −5.95793 1.74940i −0.642460 0.188643i
\(87\) −5.21545 1.70040i −0.559155 0.182302i
\(88\) 3.98102 1.16893i 0.424378 0.124609i
\(89\) 6.45448 14.1333i 0.684174 1.49813i −0.173986 0.984748i \(-0.555665\pi\)
0.858159 0.513383i \(-0.171608\pi\)
\(90\) −6.61678 + 1.10376i −0.697469 + 0.116346i
\(91\) 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
\(95\) 10.6432 4.09411i 1.09197 0.420047i
\(96\) −1.34195 + 1.09506i −0.136963 + 0.111764i
\(97\) 5.68611 6.56212i 0.577337 0.666283i −0.389693 0.920945i \(-0.627419\pi\)
0.967030 + 0.254662i \(0.0819642\pi\)
\(98\) 1.46769 + 0.430952i 0.148259 + 0.0435327i
\(99\) −2.49643 + 12.1943i −0.250901 + 1.22558i
\(100\) 4.50475 2.16961i 0.450475 0.216961i
\(101\) −2.88426 + 2.49923i −0.286995 + 0.248683i −0.786445 0.617660i \(-0.788081\pi\)
0.499450 + 0.866343i \(0.333535\pi\)
\(102\) −2.18687 + 12.5615i −0.216532 + 1.24378i
\(103\) 1.59510 11.0942i 0.157170 1.09314i −0.746647 0.665221i \(-0.768337\pi\)
0.903817 0.427920i \(-0.140754\pi\)
\(104\) −4.76694 0.685382i −0.467437 0.0672072i
\(105\) 7.35530 5.28723i 0.717804 0.515981i
\(106\) 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 \(0.183456\pi\)
\(108\) −1.01654 5.09575i −0.0978167 0.490339i
\(109\) 0.734577 2.50174i 0.0703597 0.239623i −0.916803 0.399339i \(-0.869240\pi\)
0.987163 + 0.159716i \(0.0510578\pi\)
\(110\) −0.756409 9.24675i −0.0721208 0.881643i
\(111\) 2.65034 2.16273i 0.251560 0.205278i
\(112\) 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
\(115\) 10.7149 + 0.437785i 0.999166 + 0.0408236i
\(116\) 3.16714i 0.294062i
\(117\) 8.51573 11.6715i 0.787280 1.07903i
\(118\) −3.35896 1.53398i −0.309217 0.141215i
\(119\) −4.85076 16.5202i −0.444668 1.51440i
\(120\) 1.79002 + 3.43450i 0.163406 + 0.313526i
\(121\) −5.96317 1.75094i −0.542106 0.159177i
\(122\) 3.27877 + 5.10187i 0.296846 + 0.461902i
\(123\) −12.7607 + 13.8756i −1.15059 + 1.25112i
\(124\) −0.820804 0.947258i −0.0737104 0.0850663i
\(125\) −2.71037 10.8468i −0.242423 0.970171i
\(126\) 4.27351 + 5.56509i 0.380715 + 0.495778i
\(127\) 1.45735 + 0.209535i 0.129319 + 0.0185932i 0.206670 0.978411i \(-0.433737\pi\)
−0.0773516 + 0.997004i \(0.524646\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −9.64682 4.75507i −0.849355 0.418661i
\(130\) −3.65999 + 10.1278i −0.321002 + 0.888264i
\(131\) −1.40959 2.19337i −0.123157 0.191635i 0.774201 0.632940i \(-0.218152\pi\)
−0.897357 + 0.441305i \(0.854516\pi\)
\(132\) 7.14040 0.812012i 0.621492 0.0706766i
\(133\) −9.01443 7.81105i −0.781651 0.677304i
\(134\) −1.08511 + 0.318616i −0.0937389 + 0.0275242i
\(135\) −11.6187 0.0822044i −0.999975 0.00707503i
\(136\) 7.28655 1.04765i 0.624816 0.0898350i
\(137\) 8.93937i 0.763742i −0.924216 0.381871i \(-0.875280\pi\)
0.924216 0.381871i \(-0.124720\pi\)
\(138\) −0.0765994 + 8.30627i −0.00652058 + 0.707077i
\(139\) −1.72575 −0.146376 −0.0731880 0.997318i \(-0.523317\pi\)
−0.0731880 + 0.997318i \(0.523317\pi\)
\(140\) −4.21856 3.09120i −0.356533 0.261254i
\(141\) 0.345837 11.6940i 0.0291247 0.984810i
\(142\) 0.108558 + 0.369714i 0.00910996 + 0.0310257i
\(143\) 15.1012 + 13.0853i 1.26283 + 1.09425i
\(144\) −2.61520 + 1.46994i −0.217933 + 0.122495i
\(145\) 6.93512 + 1.43457i 0.575930 + 0.119134i
\(146\) 15.1613 6.92393i 1.25476 0.573029i
\(147\) 2.37642 + 1.17137i 0.196004 + 0.0966134i
\(148\) −1.66147 1.06776i −0.136572 0.0877693i
\(149\) −2.78753 + 19.3877i −0.228363 + 1.58830i 0.476640 + 0.879099i \(0.341855\pi\)
−0.705003 + 0.709204i \(0.749054\pi\)
\(150\) 8.33137 2.36397i 0.680253 0.193017i
\(151\) 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
\(153\) −7.46327 + 20.7851i −0.603370 + 1.68038i
\(154\) −8.16370 + 5.24649i −0.657850 + 0.422774i
\(155\) −2.44601 + 1.36826i −0.196468 + 0.109901i
\(156\) −7.93062 2.58563i −0.634958 0.207016i
\(157\) 21.4105 6.28669i 1.70874 0.501732i 0.726155 0.687531i \(-0.241305\pi\)
0.982588 + 0.185798i \(0.0594871\pi\)
\(158\) 6.26146 + 2.85951i 0.498135 + 0.227491i
\(159\) 19.4922 11.7275i 1.54583 0.930053i
\(160\) 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 −0.182344 0.983235i \(-0.558368\pi\)
0.102052 + 0.994779i \(0.467459\pi\)
\(164\) 9.90021 + 4.52127i 0.773077 + 0.353052i
\(165\) 1.45620 16.0032i 0.113365 1.24585i
\(166\) 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 \(0.673592\pi\)
\(168\) 2.28995 3.34173i 0.176674 0.257820i
\(169\) −4.23451 9.27227i −0.325731 0.713252i
\(170\) 1.00642 16.4300i 0.0771889 1.26012i
\(171\) 3.43529 + 14.9087i 0.262703 + 1.14010i
\(172\) −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 \(0.0902197\pi\)
\(174\) −0.940859 + 5.40436i −0.0713263 + 0.409703i
\(175\) −8.67964 + 7.83725i −0.656119 + 0.592441i
\(176\) −1.72359 3.77414i −0.129921 0.284487i
\(177\) −5.27598 3.61541i −0.396567 0.271751i
\(178\) −14.9081 4.37740i −1.11741 0.328100i
\(179\) 12.0244 + 10.4192i 0.898750 + 0.778771i 0.975893 0.218249i \(-0.0700345\pi\)
−0.0771436 + 0.997020i \(0.524580\pi\)
\(180\) 2.03419 + 6.39235i 0.151619 + 0.476457i
\(181\) 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
\(186\) −1.11921 1.86022i −0.0820642 0.136398i
\(187\) −27.7833 12.6882i −2.03171 0.927852i
\(188\) −6.48086 + 1.90295i −0.472666 + 0.138787i
\(189\) 5.63904 + 10.7657i 0.410180 + 0.783091i
\(190\) −5.56713 9.95223i −0.403882 0.722010i
\(191\) −9.29975 + 5.97659i −0.672906 + 0.432451i −0.831972 0.554817i \(-0.812788\pi\)
0.159066 + 0.987268i \(0.449152\pi\)
\(192\) 1.27489 + 1.17245i 0.0920076 + 0.0846144i
\(193\) 3.75659 3.25511i 0.270406 0.234308i −0.509093 0.860711i \(-0.670019\pi\)
0.779499 + 0.626404i \(0.215474\pi\)
\(194\) −7.30455 4.69435i −0.524436 0.337035i
\(195\) −9.25399 + 16.1946i −0.662692 + 1.15972i
\(196\) 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 \(0.446366\pi\)
\(198\) 12.4255 + 0.735586i 0.883042 + 0.0522758i
\(199\) −2.89119 + 1.32036i −0.204951 + 0.0935980i −0.515246 0.857042i \(-0.672299\pi\)
0.310295 + 0.950640i \(0.399572\pi\)
\(200\) −2.78862 4.15013i −0.197185 0.293459i
\(201\) −1.94626 + 0.221330i −0.137279 + 0.0156114i
\(202\) 2.88426 + 2.49923i 0.202936 + 0.175845i
\(203\) −2.08695 7.10750i −0.146475 0.498848i
\(204\) 12.7449 + 0.376917i 0.892320 + 0.0263894i
\(205\) 14.3846 19.6307i 1.00467 1.37107i
\(206\) −11.2083 −0.780916
\(207\) −2.59824 + 14.1509i −0.180590 + 0.983558i
\(208\) 4.81596i 0.333926i
\(209\) −20.9441 + 3.01131i −1.44874 + 0.208297i
\(210\) −6.28019 6.52798i −0.433374 0.450473i
\(211\) −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
\(213\) 0.0754109 + 0.663123i 0.00516707 + 0.0454364i
\(214\) −5.99851 9.33386i −0.410049 0.638049i
\(215\) 13.0582 + 4.71900i 0.890564 + 0.321833i
\(216\) −4.89921 + 1.73139i −0.333349 + 0.117806i
\(217\) 2.46618 + 1.58492i 0.167415 + 0.107591i
\(218\) −2.58082 0.371066i −0.174795 0.0251317i
\(219\) 27.9279 7.31095i 1.88719 0.494028i
\(220\) −9.04499 + 2.06466i −0.609813 + 0.139199i
\(221\) 23.2165 + 26.7933i 1.56171 + 1.80231i
\(222\) −2.51790 2.31558i −0.168991 0.155411i
\(223\) −1.38258 2.15134i −0.0925847 0.144065i 0.791872 0.610688i \(-0.209107\pi\)
−0.884456 + 0.466623i \(0.845471\pi\)
\(224\) −2.24414 0.658938i −0.149943 0.0440272i
\(225\) 14.9188 1.55885i 0.994585 0.103923i
\(226\) −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 \(0.601389\pi\)
\(228\) 7.56881 4.55379i 0.501256 0.301582i
\(229\) 13.0423i 0.861861i 0.902385 + 0.430930i \(0.141815\pi\)
−0.902385 + 0.430930i \(0.858185\pi\)
\(230\) −1.09156 10.6681i −0.0719750 0.703434i
\(231\) −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 \(0.136797\pi\)
\(234\) −12.7646 6.76803i −0.834447 0.442440i
\(235\) 1.23139 + 15.0532i 0.0803270 + 0.981960i
\(236\) −1.04034 + 3.54308i −0.0677204 + 0.230635i
\(237\) 9.83499 + 6.73952i 0.638851 + 0.437779i
\(238\) −15.6617 + 7.15245i −1.01520 + 0.463624i
\(239\) −17.2040 + 14.9073i −1.11283 + 0.964275i −0.999571 0.0292902i \(-0.990675\pi\)
−0.113262 + 0.993565i \(0.536130\pi\)
\(240\) 3.14480 2.26059i 0.202996 0.145920i
\(241\) −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
\(243\) 2.29601 15.4184i 0.147289 0.989094i
\(244\) 4.58333 3.97147i 0.293417 0.254248i
\(245\) −3.21679 1.16249i −0.205513 0.0742687i
\(246\) 15.5504 + 10.6561i 0.991460 + 0.679407i
\(247\) 23.5655 + 6.91947i 1.49944 + 0.440275i
\(248\) −0.820804 + 0.947258i −0.0521211 + 0.0601510i
\(249\) 17.4408 + 21.3730i 1.10527 + 1.35446i
\(250\) −10.3507 + 4.22645i −0.654636 + 0.267304i
\(251\) −0.707153 4.91836i −0.0446351 0.310444i −0.999892 0.0146680i \(-0.995331\pi\)
0.955257 0.295776i \(-0.0955782\pi\)
\(252\) 4.90026 5.02201i 0.308688 0.316357i
\(253\) −19.2024 5.21646i −1.20724 0.327956i
\(254\) 1.47233i 0.0923823i
\(255\) 6.59817 27.7369i 0.413194 1.73695i
\(256\) 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 \(0.684976\pi\)
\(258\) −3.33379 + 10.2253i −0.207553 + 0.636602i
\(259\) 4.43214 + 1.30140i 0.275400 + 0.0808648i
\(260\) 10.5456 + 2.18140i 0.654007 + 0.135285i
\(261\) −3.21093 + 8.94242i −0.198752 + 0.553522i
\(262\) −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 \(0.981642\pi\)
\(264\) −1.81993 6.95216i −0.112009 0.427876i
\(265\) −23.3290 + 17.8388i −1.43309 + 1.09583i
\(266\) −6.44866 + 10.0343i −0.395393 + 0.615243i
\(267\) −24.1385 11.8982i −1.47725 0.728161i
\(268\) 0.469800 + 1.02872i 0.0286976 + 0.0628389i
\(269\) −4.99311 7.76944i −0.304436 0.473711i 0.655004 0.755625i \(-0.272667\pi\)
−0.959440 + 0.281914i \(0.909031\pi\)
\(270\) 1.57214 + 11.5121i 0.0956774 + 0.700604i
\(271\) 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
\(273\) 19.5012 + 0.576727i 1.18027 + 0.0349051i
\(274\) −8.84838 + 1.27221i −0.534550 + 0.0768568i
\(275\) 0.424053 + 20.7411i 0.0255714 + 1.25074i
\(276\) 8.23263 1.10629i 0.495546 0.0665906i
\(277\) 18.1513i 1.09060i 0.838240 + 0.545302i \(0.183585\pi\)
−0.838240 + 0.545302i \(0.816415\pi\)
\(278\) 0.245599 + 1.70818i 0.0147301 + 0.102450i
\(279\) −1.35718 3.50674i −0.0812525 0.209943i
\(280\) −2.45937 + 4.61554i −0.146976 + 0.275831i
\(281\) 7.87946 9.09338i 0.470049 0.542466i −0.470376 0.882466i \(-0.655882\pi\)
0.940425 + 0.340000i \(0.110427\pi\)
\(282\) −11.6242 + 1.32191i −0.692209 + 0.0787185i
\(283\) 14.1573 9.09834i 0.841564 0.540840i −0.0473690 0.998877i \(-0.515084\pi\)
0.888933 + 0.458037i \(0.151447\pi\)
\(284\) 0.350501 0.160068i 0.0207984 0.00949832i
\(285\) −6.54316 18.6362i −0.387584 1.10391i
\(286\) 10.8030 16.8098i 0.638794 0.993983i
\(287\) −25.1967 3.62273i −1.48731 0.213843i
\(288\) 1.82716 + 2.37939i 0.107667 + 0.140207i
\(289\) −31.2874 20.1072i −1.84043 1.18277i
\(290\) 0.432994 7.06869i 0.0254263 0.415088i
\(291\) −11.0698 10.1803i −0.648925 0.596781i
\(292\) −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 \(0.0177460\pi\)
\(294\) 0.821252 2.51893i 0.0478964 0.146907i
\(295\) 7.28709 + 3.88289i 0.424271 + 0.226071i
\(296\) −0.820440 + 1.79651i −0.0476871 + 0.104420i
\(297\) 20.9842 + 4.94642i 1.21763 + 0.287021i
\(298\) 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
\(303\) 4.17922 + 5.12147i 0.240090 + 0.294221i
\(304\) −3.85417 3.33966i −0.221052 0.191542i
\(305\) −6.62035 11.8350i −0.379080 0.677673i
\(306\) 21.6357 + 4.42927i 1.23683 + 0.253205i
\(307\) −12.9762 + 5.92604i −0.740592 + 0.338217i −0.749732 0.661741i \(-0.769818\pi\)
0.00914055 + 0.999958i \(0.497090\pi\)
\(308\) 6.35490 + 7.33395i 0.362104 + 0.417891i
\(309\) −19.1256 3.32962i −1.08802 0.189416i
\(310\) 1.70244 + 2.22639i 0.0966919 + 0.126450i
\(311\) 11.3575 + 1.63297i 0.644026 + 0.0925970i 0.456586 0.889679i \(-0.349072\pi\)
0.187440 + 0.982276i \(0.439981\pi\)
\(312\) −1.43067 + 8.21788i −0.0809958 + 0.465246i
\(313\) 6.95776 + 8.02969i 0.393276 + 0.453865i 0.917512 0.397708i \(-0.130194\pi\)
−0.524236 + 0.851573i \(0.675649\pi\)
\(314\) −9.26973 20.2979i −0.523121 1.14548i
\(315\) −8.77715 13.0049i −0.494537 0.732743i
\(316\) 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 \(0.0146759\pi\)
\(318\) −14.3822 17.6248i −0.806512 0.988349i
\(319\) −11.9532 5.45886i −0.669253 0.305637i
\(320\) −1.80367 1.32166i −0.100828 0.0738830i
\(321\) −7.46296 17.7091i −0.416542 0.988427i
\(322\) −9.31091 + 6.25499i −0.518877 + 0.348577i
\(323\) −37.5421 −2.08890
\(324\) −8.87428 + 1.49902i −0.493016 + 0.0832790i
\(325\) 9.55328 22.1036i 0.529921 1.22609i
\(326\) 0.291773 + 0.993687i 0.0161598 + 0.0550353i
\(327\) −4.29364 1.39986i −0.237439 0.0774125i
\(328\) 3.06631 10.4429i 0.169309 0.576612i
\(329\) 13.2900 8.54098i 0.732702 0.470879i
\(330\) −16.0476 + 0.836121i −0.883390 + 0.0460270i
\(331\) 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
\(333\) −3.60863 4.69926i −0.197751 0.257518i
\(334\) −0.944738 + 6.57080i −0.0516938 + 0.359538i
\(335\) 2.46539 0.562764i 0.134699 0.0307471i
\(336\) −3.63361 1.79107i −0.198230 0.0977106i
\(337\) 2.17083 + 4.75346i 0.118253 + 0.258938i 0.959498 0.281717i \(-0.0909039\pi\)
−0.841245 + 0.540655i \(0.818177\pi\)
\(338\) −8.57526 + 5.51099i −0.466433 + 0.299758i
\(339\) −1.71389 15.0710i −0.0930858 0.818547i
\(340\) −16.4060 + 1.34205i −0.889738 + 0.0727830i
\(341\) 4.98982 1.46514i 0.270214 0.0793419i
\(342\) 14.2681 5.52206i 0.771530 0.298599i
\(343\) 2.83915 + 19.7467i 0.153300 + 1.06622i
\(344\) 6.20945 0.334791
\(345\) 1.30655 18.5282i 0.0703422 0.997523i
\(346\) 3.68732 0.198232
\(347\) −1.50759 10.4855i −0.0809314 0.562890i −0.989431 0.145005i \(-0.953680\pi\)
0.908500 0.417886i \(-0.137229\pi\)
\(348\) 5.48325 + 0.162161i 0.293933 + 0.00869276i
\(349\) −6.26294 + 1.83896i −0.335247 + 0.0984375i −0.445024 0.895519i \(-0.646805\pi\)
0.109776 + 0.993956i \(0.464987\pi\)
\(350\) 8.99272 + 7.47594i 0.480681 + 0.399606i
\(351\) −19.7707 15.3408i −1.05528 0.818833i
\(352\) −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 \(0.774332\pi\)
\(354\) −2.82776 + 5.73680i −0.150294 + 0.304907i
\(355\) −0.191743 0.840000i −0.0101767 0.0445825i
\(356\) −2.21121 + 15.3793i −0.117194 + 0.815100i
\(357\) −28.8496 + 7.55224i −1.52688 + 0.399707i
\(358\) 8.60193 13.3849i 0.454626 0.707412i
\(359\) 15.6130 + 18.0183i 0.824021 + 0.950971i 0.999438 0.0335237i \(-0.0106729\pi\)
−0.175417 + 0.984494i \(0.556127\pi\)
\(360\) 6.03779 2.92321i 0.318219 0.154067i
\(361\) −5.89545 + 3.78878i −0.310287 + 0.199409i
\(362\) 2.05254 6.99031i 0.107879 0.367402i
\(363\) −3.33672 + 10.2343i −0.175132 + 0.537164i
\(364\) −3.17342 10.8077i −0.166332 0.566476i
\(365\) −34.7849 + 13.3806i −1.82072 + 0.700375i
\(366\) 9.00072 5.41530i 0.470475 0.283062i
\(367\) −11.9447 −0.623508 −0.311754 0.950163i \(-0.600917\pi\)
−0.311754 + 0.950163i \(0.600917\pi\)
\(368\) −2.08059 4.32101i −0.108458 0.225248i
\(369\) 23.3695 + 22.8029i 1.21657 + 1.18707i
\(370\) 3.56222 + 2.61026i 0.185191 + 0.135701i
\(371\) 27.9421 + 12.7607i 1.45068 + 0.662505i
\(372\) −1.68201 + 1.37255i −0.0872081 + 0.0711635i
\(373\) −3.67482 + 4.24097i −0.190275 + 0.219589i −0.842869 0.538119i \(-0.819135\pi\)
0.652594 + 0.757708i \(0.273681\pi\)
\(374\) −8.60507 + 29.3062i −0.444958 + 1.51539i
\(375\) −18.9178 + 4.13708i −0.976913 + 0.213638i
\(376\) 2.80591 + 6.14408i 0.144704 + 0.316857i
\(377\) 9.98846 + 11.5273i 0.514432 + 0.593686i
\(378\) 9.85362 7.11376i 0.506816 0.365893i
\(379\) 31.7764 + 4.56875i 1.63224 + 0.234681i 0.896649 0.442742i \(-0.145994\pi\)
0.735593 + 0.677423i \(0.236903\pi\)
\(380\) −9.05864 + 6.92681i −0.464699 + 0.355338i
\(381\) 0.437384 2.51237i 0.0224079 0.128712i
\(382\) 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 \(0.152807\pi\)
\(384\) 0.979081 1.42878i 0.0499635 0.0729119i
\(385\) 18.9377 10.5935i 0.965155 0.539893i
\(386\) −3.75659 3.25511i −0.191206 0.165681i
\(387\) −8.72636 + 16.4580i −0.443586 + 0.836608i
\(388\) −3.60702 + 7.89828i −0.183119 + 0.400974i
\(389\) 1.32775 + 9.23471i 0.0673196 + 0.468218i 0.995398 + 0.0958322i \(0.0305512\pi\)
−0.928078 + 0.372386i \(0.878540\pi\)
\(390\) 17.3467 + 6.85507i 0.878387 + 0.347120i
\(391\) −32.4057 14.0097i −1.63883 0.708500i
\(392\) −1.52965 −0.0772590
\(393\) −3.86954 + 2.32811i −0.195192 + 0.117438i
\(394\) 7.86042 17.2119i 0.396002 0.867124i
\(395\) −13.5839 7.23814i −0.683481 0.364190i
\(396\) −1.04023 12.4037i −0.0522738 0.623310i
\(397\) −5.07738 + 17.2920i −0.254826 + 0.867859i 0.728351 + 0.685204i \(0.240287\pi\)
−0.983177 + 0.182655i \(0.941531\pi\)
\(398\) 1.71838 + 2.67386i 0.0861347 + 0.134028i
\(399\) −13.9848 + 15.2067i −0.700114 + 0.761287i
\(400\) −3.71103 + 3.35086i −0.185551 + 0.167543i
\(401\) −17.3106 11.1248i −0.864449 0.555548i 0.0316008 0.999501i \(-0.489939\pi\)
−0.896050 + 0.443953i \(0.853576\pi\)
\(402\) 0.496059 + 1.89495i 0.0247412 + 0.0945116i
\(403\) −5.97489 0.859060i −0.297630 0.0427928i
\(404\) 2.06332 3.21058i 0.102654 0.159732i
\(405\) −0.737210 + 20.1111i −0.0366322 + 0.999329i
\(406\) −6.73815 + 3.07721i −0.334409 + 0.152719i
\(407\) 6.89357 4.43023i 0.341701 0.219598i
\(408\) −1.44071 12.6688i −0.0713256 0.627199i
\(409\) 2.41616 2.78840i 0.119471 0.137877i −0.692863 0.721069i \(-0.743651\pi\)
0.812334 + 0.583192i \(0.198196\pi\)
\(410\) −21.4780 11.4445i −1.06072 0.565202i
\(411\) −15.4767 0.457707i −0.763409 0.0225770i
\(412\) 1.59510 + 11.0942i 0.0785850 + 0.546571i
\(413\) 8.63667i 0.424983i
\(414\) 14.3767 + 0.557907i 0.706575 + 0.0274196i
\(415\) −25.4385 24.9238i −1.24873 1.22346i
\(416\) 4.76694 0.685382i 0.233718 0.0336036i
\(417\) −0.0883604 + 2.98778i −0.00432703 + 0.146312i
\(418\) 5.96132 + 20.3024i 0.291578 + 0.993022i
\(419\) 14.6560 16.9140i 0.715994 0.826301i −0.274826 0.961494i \(-0.588620\pi\)
0.990819 + 0.135193i \(0.0431656\pi\)
\(420\) −5.56777 + 7.14529i −0.271679 + 0.348654i
\(421\) −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
\(423\) −20.2280 1.19749i −0.983519 0.0582240i
\(424\) −7.10060 + 11.0487i −0.344836 + 0.536575i
\(425\) −4.49243 + 36.5322i −0.217915 + 1.77207i
\(426\) 0.645641 0.169016i 0.0312814 0.00818883i
\(427\) −7.66865 + 11.9327i −0.371112 + 0.577462i
\(428\) −8.38518 + 7.26580i −0.405313 + 0.351206i
\(429\) 23.4277 25.4747i 1.13110 1.22993i
\(430\) 2.81259 13.5969i 0.135635 0.655701i
\(431\) −17.7323 5.20668i −0.854136 0.250797i −0.174781 0.984607i \(-0.555922\pi\)
−0.679354 + 0.733810i \(0.737740\pi\)
\(432\) 2.41100 + 4.60294i 0.115999 + 0.221459i
\(433\) −20.6839 + 6.07334i −0.994004 + 0.291866i −0.737993 0.674808i \(-0.764226\pi\)
−0.256011 + 0.966674i \(0.582408\pi\)
\(434\) 1.21781 2.66664i 0.0584569 0.128003i
\(435\) 2.83874 11.9333i 0.136107 0.572157i
\(436\) 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 \(-0.120884\pi\)
\(440\) 3.33088 + 8.65909i 0.158793 + 0.412806i
\(441\) 2.14967 4.05430i 0.102365 0.193062i
\(442\) 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 \(0.742385\pi\)
\(444\) −1.93367 + 2.82182i −0.0917681 + 0.133917i
\(445\) 32.6746 + 11.8080i 1.54892 + 0.559753i
\(446\) −1.93268 + 1.67468i −0.0915152 + 0.0792984i
\(447\) 33.4231 + 5.81871i 1.58086 + 0.275216i
\(448\) −0.332857 + 2.31507i −0.0157260 + 0.109377i
\(449\) 36.4667 + 5.24312i 1.72097 + 0.247438i 0.930821 0.365476i \(-0.119094\pi\)
0.790150 + 0.612914i \(0.210003\pi\)
\(450\) −3.66615 14.5451i −0.172824 0.685662i
\(451\) −34.1279 + 29.5720i −1.60702 + 1.39249i
\(452\) −7.96597 + 3.63794i −0.374688 + 0.171114i
\(453\) 11.8499 17.2926i 0.556757 0.812477i
\(454\) 0.930900 3.17036i 0.0436893 0.148792i
\(455\) −25.1031 + 2.05350i −1.17685 + 0.0962695i
\(456\) −5.58459 6.84370i −0.261522 0.320485i
\(457\) 2.34541 5.13574i 0.109714 0.240240i −0.846809 0.531897i \(-0.821479\pi\)
0.956523 + 0.291657i \(0.0942067\pi\)
\(458\) 12.9096 1.85612i 0.603224 0.0867306i
\(459\) 35.6030 + 13.9853i 1.66181 + 0.652780i
\(460\) −10.4042 + 2.59868i −0.485097 + 0.121164i
\(461\) 15.4684i 0.720434i −0.932869 0.360217i \(-0.882703\pi\)
0.932869 0.360217i \(-0.117297\pi\)
\(462\) 8.66522 + 14.4024i 0.403143 + 0.670060i
\(463\) −17.5125 7.99767i −0.813873 0.371683i −0.0354090 0.999373i \(-0.511273\pi\)
−0.778464 + 0.627690i \(0.784001\pi\)
\(464\) −0.892286 3.03885i −0.0414234 0.141075i
\(465\) 2.24362 + 4.30481i 0.104045 + 0.199631i
\(466\) 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 \(0.757693\pi\)
\(468\) −4.88255 + 13.5979i −0.225696 + 0.628561i
\(469\) −1.73216 1.99901i −0.0799835 0.0923059i
\(470\) 14.7247 3.36114i 0.679200 0.155038i
\(471\) −9.78786 37.3897i −0.451001 1.72283i
\(472\) 3.65507 + 0.525520i 0.168238 + 0.0241890i
\(473\) −21.6737 13.9288i −0.996557 0.640448i
\(474\) 5.27125 10.6940i 0.242117 0.491193i
\(475\) 11.0646 + 22.9733i 0.507677 + 1.05409i
\(476\) 9.30854 + 14.4844i 0.426656 + 0.663890i
\(477\) −19.3058 34.3472i −0.883950 1.57265i
\(478\) 17.2040 + 14.9073i 0.786892 + 0.681845i
\(479\) −32.5854 + 9.56793i −1.48886 + 0.437170i −0.922179 0.386764i \(-0.873593\pi\)
−0.566686 + 0.823934i \(0.691775\pi\)
\(480\) −2.68513 2.79107i −0.122559 0.127394i
\(481\) −9.41465 + 1.35362i −0.429271 + 0.0617198i
\(482\) 0.854717i 0.0389313i
\(483\) −17.7462 + 7.90745i −0.807479 + 0.359801i
\(484\) 6.21492 0.282496
\(485\) 15.6611 + 11.4759i 0.711135 + 0.521093i
\(486\) −15.5883 0.0783637i −0.707098 0.00355465i
\(487\) −4.71268 16.0499i −0.213552 0.727291i −0.994689 0.102931i \(-0.967178\pi\)
0.781137 0.624360i \(-0.214640\pi\)
\(488\) −4.58333 3.97147i −0.207477 0.179780i
\(489\) 0.202683 + 1.78229i 0.00916566 + 0.0805979i
\(490\) −0.692860 + 3.34949i −0.0313002 + 0.151315i
\(491\) 29.8520 13.6330i 1.34720 0.615247i 0.394429 0.918927i \(-0.370942\pi\)
0.952774 + 0.303680i \(0.0982152\pi\)
\(492\) 8.33456 16.9087i 0.375751 0.762302i
\(493\) −19.6137 12.6049i −0.883356 0.567698i
\(494\) 3.49531 24.3104i 0.157261 1.09378i
\(495\) −27.6317 3.34049i −1.24195 0.150144i
\(496\) 1.05443 + 0.677641i 0.0473453 + 0.0304270i
\(497\) −0.681097 + 0.590174i −0.0305514 + 0.0264729i
\(498\) 18.6734 20.3050i 0.836775 0.909888i
\(499\) 9.07107 5.82962i 0.406077 0.260970i −0.321620 0.946869i \(-0.604227\pi\)
0.727697 + 0.685899i \(0.240591\pi\)
\(500\) 5.65649 + 9.64386i 0.252966 + 0.431287i
\(501\) −3.56407 + 10.9317i −0.159231 + 0.488391i
\(502\) −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 \(0.688323\pi\)
\(504\) −5.66827 4.13568i −0.252485 0.184218i
\(505\) −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 −0.446696 0.894686i \(-0.647399\pi\)
−0.968682 + 0.248304i \(0.920127\pi\)
\(510\) −28.3936 2.58364i −1.25729 0.114406i
\(511\) 29.4616 + 25.5286i 1.30330 + 1.12932i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 25.9873 5.18415i 1.14737 0.228886i
\(514\) 10.1520 + 22.2298i 0.447786 + 0.980516i
\(515\) 25.0155 + 1.53233i 1.10232 + 0.0675225i
\(516\) 10.5957 + 1.84463i 0.466450 + 0.0812055i
\(517\) 3.98835 27.7396i 0.175408 1.21999i
\(518\) 0.657389 4.57224i 0.0288840 0.200893i
\(519\) 6.29199 + 1.09539i 0.276188 + 0.0480822i
\(520\) 0.658411 10.7487i 0.0288732 0.471360i
\(521\) −12.7175 27.8474i −0.557162 1.22001i −0.953356 0.301848i \(-0.902396\pi\)
0.396194 0.918167i \(-0.370331\pi\)
\(522\) 9.30836 + 1.90561i 0.407416 + 0.0834064i
\(523\) 20.3869 + 5.98613i 0.891456 + 0.261755i 0.695216 0.718801i \(-0.255309\pi\)
0.196240 + 0.980556i \(0.437127\pi\)
\(524\) 1.97044 + 1.70739i 0.0860789 + 0.0745878i
\(525\) 13.1242 + 15.4283i 0.572786 + 0.673346i
\(526\) 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
\(531\) −6.52947 + 8.94915i −0.283355 + 0.388360i
\(532\) 10.8499 + 4.95499i 0.470403 + 0.214826i
\(533\) 50.2925 14.7672i 2.17841 0.639639i
\(534\) −8.34188 + 25.5861i −0.360988 + 1.10722i
\(535\) 12.1119 + 21.6522i 0.523643 + 0.936105i
\(536\) 0.951387 0.611420i 0.0410937 0.0264093i
\(537\) 18.6544 20.2844i 0.804999 0.875335i
\(538\) −6.97976 + 6.04800i −0.300919 + 0.260748i
\(539\) 5.33914 + 3.43126i 0.229973 + 0.147795i
\(540\) 11.1712 3.19448i 0.480731 0.137469i
\(541\) 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
\(543\) 5.57902 11.3184i 0.239419 0.485719i
\(544\) −6.69624 + 3.05807i −0.287099 + 0.131114i
\(545\) 5.70936 + 1.18101i 0.244562 + 0.0505889i
\(546\) −2.20445 19.3848i −0.0943418 0.829591i
\(547\) 13.7006 + 11.8717i 0.585797 + 0.507596i 0.896578 0.442885i \(-0.146045\pi\)
−0.310781 + 0.950482i \(0.600591\pi\)
\(548\) 2.51851 + 8.57727i 0.107586 + 0.366403i
\(549\) 16.9674 6.56675i 0.724151 0.280262i
\(550\) 20.4696 3.37150i 0.872828 0.143761i
\(551\) −16.1518 −0.688089
\(552\) −2.26665 7.99139i −0.0964750 0.340136i
\(553\) 16.0997i 0.684629i
\(554\) 17.9665 2.58319i 0.763323 0.109749i
\(555\) 5.30310 + 5.51234i 0.225104 + 0.233986i
\(556\) 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 \(0.519842\pi\)
\(558\) −3.27790 + 1.84243i −0.138764 + 0.0779963i
\(559\) 16.1676 + 25.1572i 0.683815 + 1.06404i
\(560\) 4.91857 + 1.77748i 0.207847 + 0.0751122i
\(561\) −23.3895 + 47.4513i −0.987506 + 2.00340i
\(562\) −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 \(0.592789\pi\)
\(564\) 2.96274 + 11.3177i 0.124754 + 0.476562i
\(565\) 4.35782 + 19.0910i 0.183335 + 0.803164i
\(566\) −11.0205 12.7184i −0.463227 0.534593i
\(567\) 18.9273 9.21162i 0.794874 0.386852i
\(568\) −0.208321 0.324153i −0.00874094 0.0136012i
\(569\) −9.35550 2.74702i −0.392203 0.115161i 0.0796842 0.996820i \(-0.474609\pi\)
−0.471887 + 0.881659i \(0.656427\pi\)
\(570\) −17.5153 + 9.12876i −0.733634 + 0.382362i
\(571\) −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
\(573\) 9.87107 + 16.4066i 0.412370 + 0.685396i
\(574\) 25.4558i 1.06250i
\(575\) 0.977742 + 23.9592i 0.0407746 + 0.999168i
\(576\) 2.09513 2.14719i 0.0872973 0.0894661i
\(577\) 24.8903 3.57868i 1.03620 0.148982i 0.396836 0.917890i \(-0.370108\pi\)
0.639360 + 0.768907i \(0.279199\pi\)
\(578\) −15.4499 + 33.8305i −0.642629 + 1.40716i
\(579\) −5.44320 6.67043i −0.226212 0.277214i
\(580\) −7.05836 + 0.577393i −0.293083 + 0.0239749i
\(581\) −10.4948 + 35.7419i −0.435397 + 1.48282i
\(582\) −8.50130 + 12.4060i −0.352390 + 0.514244i
\(583\) 49.5683 22.6371i 2.05291 0.937533i
\(584\) −12.5965 + 10.9149i −0.521245 + 0.451662i
\(585\) 27.5638 + 16.8506i 1.13962 + 0.696685i
\(586\) −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 \(0.680176\pi\)
\(588\) −2.61017 0.454411i −0.107642 0.0187396i
\(589\) 4.83083 4.18594i 0.199051 0.172478i
\(590\) 2.80631 7.76551i 0.115534 0.319701i
\(591\) 18.5260 27.0351i 0.762059 1.11207i
\(592\) 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 \(0.0584922\pi\)
\(594\) 1.90972 21.4745i 0.0783566 0.881111i
\(595\) 35.9329 13.8223i 1.47311 0.566658i
\(596\) −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 \(-0.963123\pi\)
0.993297 0.115594i \(-0.0368770\pi\)
\(600\) −7.32788 + 4.61543i −0.299159 + 0.188424i
\(601\) −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
\(603\) 0.283537 + 3.38088i 0.0115465 + 0.137680i
\(604\) −11.6128 3.40983i −0.472519 0.138744i
\(605\) 2.81507 13.6089i 0.114449 0.553279i
\(606\) 4.47458 4.86554i 0.181767 0.197649i
\(607\) 24.4841 21.2156i 0.993779 0.861114i 0.00346955 0.999994i \(-0.498896\pi\)
0.990309 + 0.138880i \(0.0443502\pi\)
\(608\) −2.75716 + 4.29022i −0.111818 + 0.173992i
\(609\) −12.4120 + 3.24921i −0.502960 + 0.131665i
\(610\) −10.7724 + 8.23726i −0.436162 + 0.333517i
\(611\) −17.5866 + 27.3653i −0.711479 + 1.10708i
\(612\) 1.30511 22.0458i 0.0527558 0.891150i
\(613\) −3.45586 7.56728i −0.139581 0.305640i 0.826913 0.562330i \(-0.190095\pi\)
−0.966494 + 0.256691i \(0.917368\pi\)
\(614\) 7.71243 + 12.0008i 0.311248 + 0.484312i
\(615\) −33.2500 25.9091i −1.34077 1.04476i
\(616\) 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 \(0.773100\pi\)
\(618\) −0.573876 + 19.4048i −0.0230847 + 0.780575i
\(619\) 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
\(621\) 24.3664 + 5.22287i 0.977790 + 0.209586i
\(622\) 11.4743i 0.460078i
\(623\) −5.17174 35.9703i −0.207202 1.44112i
\(624\) 8.33784 + 0.246583i 0.333781 + 0.00987121i
\(625\) 23.6794 8.01786i 0.947176 0.320715i
\(626\) 6.95776 8.02969i 0.278088 0.320931i
\(627\) 4.14110 + 36.4146i 0.165380 + 1.45426i
\(628\) −18.7721 + 12.0641i −0.749086 + 0.481409i
\(629\) 13.2250 6.03965i 0.527315 0.240817i
\(630\) −11.6234 + 10.5386i −0.463088 + 0.419868i
\(631\) 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
\(633\) 2.72039 + 10.3919i 0.108126 + 0.413042i
\(634\) −18.5528 11.9232i −0.736828 0.473530i
\(635\) −0.201289 + 3.28608i −0.00798792 + 0.130404i
\(636\) −15.3986 + 16.7441i −0.610594 + 0.663945i
\(637\) −3.98275 6.19728i −0.157802 0.245545i
\(638\) −3.70217 + 12.6084i −0.146570 + 0.499173i
\(639\) 1.15192 0.0966056i 0.0455693 0.00382166i
\(640\) −1.05152 + 1.97340i −0.0415649 + 0.0780055i
\(641\) 6.34196 13.8870i 0.250492 0.548502i −0.742058 0.670336i \(-0.766150\pi\)
0.992551 + 0.121834i \(0.0388774\pi\)
\(642\) −16.4668 + 9.90727i −0.649892 + 0.391009i
\(643\) 40.8285 1.61012 0.805059 0.593194i \(-0.202133\pi\)
0.805059 + 0.593194i \(0.202133\pi\)
\(644\) 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 \(0.162589\pi\)
\(648\) 2.74671 + 8.57062i 0.107901 + 0.336686i
\(649\) −11.5789 10.0332i −0.454513 0.393838i
\(650\) −23.2382 6.31037i −0.911478 0.247513i
\(651\) 2.87023 4.18854i 0.112493 0.164162i
\(652\) 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 \(-0.553228\pi\)
\(654\) −0.774565 + 4.44915i −0.0302879 + 0.173976i
\(655\) 4.63121 3.54132i 0.180956 0.138371i
\(656\) −10.7730 1.54892i −0.420614 0.0604752i
\(657\) −11.2275 48.7257i −0.438025 1.90097i
\(658\) −10.3454 11.9392i −0.403306 0.465440i
\(659\) 6.61988 + 14.4955i 0.257874 + 0.564665i 0.993644 0.112566i \(-0.0359070\pi\)
−0.735770 + 0.677231i \(0.763180\pi\)
\(660\) 3.11142 + 15.7652i 0.121112 + 0.613661i
\(661\) −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
\(663\) 47.5757 38.8227i 1.84769 1.50775i
\(664\) −14.4875 6.61623i −0.562225 0.256760i
\(665\) 15.7645 21.5138i 0.611321 0.834269i
\(666\) −4.13787 + 4.24067i −0.160339 + 0.164323i
\(667\) −13.9420 6.02740i −0.539835 0.233382i
\(668\) 6.63837 0.256846
\(669\) −3.79540 + 2.28351i −0.146739 + 0.0882855i
\(670\) −0.907898 2.36021i −0.0350752 0.0911828i
\(671\) 7.08912 + 24.1433i 0.273672 + 0.932043i
\(672\) −1.25572 + 3.85152i −0.0484404 + 0.148576i
\(673\) 3.21079 10.9349i 0.123767 0.421511i −0.874177 0.485608i \(-0.838598\pi\)
0.997944 + 0.0640967i \(0.0204166\pi\)
\(674\) 4.39614 2.82523i 0.169333 0.108824i
\(675\) −1.93496 25.9086i −0.0744768 0.997223i
\(676\) 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 \(0.229506\pi\)
\(678\) −14.6737 + 3.84128i −0.563541 + 0.147523i
\(679\) 2.89018 20.1016i 0.110915 0.771429i
\(680\) 3.66320 + 16.0480i 0.140477 + 0.615412i
\(681\) 2.53029 5.13331i 0.0969609 0.196709i
\(682\) −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 \(0.159900\pi\)
\(684\) −7.49641 13.3370i −0.286633 0.509952i
\(685\) 19.9225 1.62971i 0.761200 0.0622682i
\(686\) 19.1417 5.62051i 0.730834 0.214592i
\(687\) 22.5801 + 0.667783i 0.861484 + 0.0254775i
\(688\) −0.883697 6.14625i −0.0336906 0.234324i
\(689\) −63.2512 −2.40968
\(690\) −18.5255 + 1.34358i −0.705254 + 0.0511493i
\(691\) −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
\(693\) 10.5077 + 27.1502i 0.399155 + 1.03135i
\(694\) −10.1642 + 2.98448i −0.385828 + 0.113289i
\(695\) −0.314616 3.84604i −0.0119341 0.145889i
\(696\) −0.619837 5.45052i −0.0234949 0.206601i
\(697\) −67.4017 + 43.3164i −2.55302 + 1.64073i
\(698\) 2.71155 + 5.93748i 0.102634 + 0.224737i
\(699\) 0.0645249 + 0.0318054i 0.00244056 + 0.00120299i
\(700\) 6.12005 9.96513i 0.231316 0.376646i
\(701\) −3.47838 + 24.1927i −0.131377 + 0.913744i 0.812386 + 0.583120i \(0.198168\pi\)
−0.943763 + 0.330624i \(0.892741\pi\)
\(702\) −12.3710 + 21.7527i −0.466914 + 0.821004i
\(703\) 5.44536 8.47314i 0.205376 0.319571i
\(704\) 2.71707 + 3.13567i 0.102404 + 0.118180i
\(705\) 26.1245 1.36116i 0.983906 0.0512641i
\(706\) 8.75294 5.62517i 0.329421 0.211706i
\(707\) −2.51479 + 8.56459i −0.0945784 + 0.322104i
\(708\) 6.08084 + 1.98255i 0.228532 + 0.0745086i
\(709\) 4.91152 + 16.7271i 0.184456 + 0.628199i 0.998853 + 0.0478907i \(0.0152499\pi\)
−0.814397 + 0.580309i \(0.802932\pi\)
\(710\) −0.804162 + 0.309336i −0.0301796 + 0.0116092i
\(711\) 12.1716 16.6822i 0.456472 0.625631i
\(712\) 15.5374 0.582290
\(713\) 5.73197 1.81050i 0.214664 0.0678038i
\(714\) 11.5811 + 27.4812i 0.433412 + 1.02846i
\(715\) −26.4092 + 36.0406i −0.987647 + 1.34784i
\(716\) −14.4728 6.60951i −0.540874 0.247009i
\(717\) 24.9281 + 30.5484i 0.930957 + 1.14085i
\(718\) 15.6130 18.0183i 0.582671 0.672438i
\(719\) −2.19385 + 7.47155i −0.0818166 + 0.278642i −0.990233 0.139426i \(-0.955474\pi\)
0.908416 + 0.418068i \(0.137293\pi\)
\(720\) −3.75272 5.56031i −0.139856 0.207221i
\(721\) −10.8900 23.8458i −0.405565 0.888063i
\(722\) 4.58922 + 5.29625i 0.170793 + 0.197106i
\(723\) −0.253910 + 1.45848i −0.00944301 + 0.0542413i
\(724\) −7.21126 1.03682i −0.268004 0.0385332i
\(725\) −1.93278 + 15.7173i −0.0717818 + 0.583726i
\(726\) 10.6050 + 1.84626i 0.393590 + 0.0685211i
\(727\) 4.52057 + 5.21702i 0.167659 + 0.193489i 0.833361 0.552729i \(-0.186413\pi\)
−0.665702 + 0.746217i \(0.731868\pi\)
\(728\) −10.2460 + 4.67921i −0.379743 + 0.173423i
\(729\) −26.5763 4.76451i −0.984307 0.176463i
\(730\) 18.1949 + 32.5265i 0.673422 + 1.20386i
\(731\) −34.5459 29.9342i −1.27773 1.10716i
\(732\) −6.64112 8.13843i −0.245463 0.300805i
\(733\) −15.6214 + 34.2061i −0.576989 + 1.26343i 0.366003 + 0.930614i \(0.380726\pi\)
−0.942992 + 0.332816i \(0.892001\pi\)
\(734\) 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
\(738\) 19.2450 26.3768i 0.708419 0.970943i
\(739\) −2.79524 + 6.12073i −0.102825 + 0.225155i −0.954051 0.299644i \(-0.903132\pi\)
0.851226 + 0.524799i \(0.175859\pi\)
\(740\) 2.07674 3.89744i 0.0763423 0.143273i
\(741\) 13.1862 40.4446i 0.484408 1.48577i
\(742\) 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 \(-0.407672\pi\)
\(744\) 1.59796 + 1.46955i 0.0585839 + 0.0538765i
\(745\) −43.7161 2.67784i −1.60163 0.0981083i
\(746\) 4.72078 + 3.03386i 0.172840 + 0.111078i
\(747\) 37.8960 29.1009i 1.38654 1.06474i
\(748\) 30.2325 + 4.34678i 1.10541 + 0.158934i
\(749\) 14.0298 21.8308i 0.512637 0.797678i
\(750\) 6.78726 + 18.1365i 0.247836 + 0.662252i
\(751\) 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
\(753\) −8.55133 + 0.972464i −0.311628 + 0.0354386i
\(754\) 9.98846 11.5273i 0.363758 0.419800i
\(755\) −12.7266 + 23.8842i −0.463169 + 0.869236i
\(756\) −8.44367 8.74093i −0.307093 0.317905i
\(757\) −2.79276 19.4241i −0.101505 0.705981i −0.975492 0.220033i \(-0.929383\pi\)
0.873988 0.485948i \(-0.161526\pi\)
\(758\) 32.1031i 1.16604i
\(759\) −10.0144 + 32.9779i −0.363500 + 1.19702i
\(760\) 8.14548 + 7.98065i 0.295468 + 0.289489i
\(761\) −15.0024 + 2.15702i −0.543838 + 0.0781921i −0.408758 0.912643i \(-0.634038\pi\)
−0.135080 + 0.990835i \(0.543129\pi\)
\(762\) −2.54904 0.0753852i −0.0923420 0.00273092i
\(763\) −1.71809 5.85127i −0.0621989 0.211830i
\(764\) 7.23925 8.35454i 0.261907 0.302256i
\(765\) −47.6829 12.8435i −1.72398 0.464359i
\(766\) −13.0133 20.2491i −0.470190 0.731629i
\(767\) 7.38760 + 16.1766i 0.266751 + 0.584103i
\(768\) −1.55357 0.765780i −0.0560596 0.0276327i
\(769\) −5.21934 + 8.12145i −0.188214 + 0.292867i −0.922518 0.385954i \(-0.873872\pi\)
0.734304 + 0.678821i \(0.237509\pi\)
\(770\) −13.1808 17.2373i −0.475001 0.621191i
\(771\) 10.7195 + 40.9485i 0.386052 + 1.47472i
\(772\) −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 +