Properties

Label 91.2.bb.a.5.7
Level $91$
Weight $2$
Character 91.5
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bb (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.7
Character \(\chi\) \(=\) 91.5
Dual form 91.2.bb.a.73.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.493585 + 1.84208i) q^{2} +(2.29307 - 1.32391i) q^{3} +(-1.41759 + 0.818448i) q^{4} +(-3.30509 + 0.885596i) q^{5} +(3.57057 + 3.57057i) q^{6} +(-1.12943 - 2.39257i) q^{7} +(0.489646 + 0.489646i) q^{8} +(2.00545 - 3.47355i) q^{9} +O(q^{10})\) \(q+(0.493585 + 1.84208i) q^{2} +(2.29307 - 1.32391i) q^{3} +(-1.41759 + 0.818448i) q^{4} +(-3.30509 + 0.885596i) q^{5} +(3.57057 + 3.57057i) q^{6} +(-1.12943 - 2.39257i) q^{7} +(0.489646 + 0.489646i) q^{8} +(2.00545 - 3.47355i) q^{9} +(-3.26268 - 5.65113i) q^{10} +(-0.445825 + 1.66384i) q^{11} +(-2.16710 + 3.75352i) q^{12} +(-3.57057 - 0.501030i) q^{13} +(3.84984 - 3.26144i) q^{14} +(-6.40637 + 6.40637i) q^{15} +(-2.29718 + 3.97884i) q^{16} +(-1.22596 - 2.12343i) q^{17} +(7.38842 + 1.97972i) q^{18} +(5.03057 - 1.34794i) q^{19} +(3.96046 - 3.96046i) q^{20} +(-5.75740 - 3.99108i) q^{21} -3.28498 q^{22} +(3.97172 + 2.29307i) q^{23} +(1.77104 + 0.474548i) q^{24} +(5.80922 - 3.35395i) q^{25} +(-0.839440 - 6.82459i) q^{26} -2.67669i q^{27} +(3.55926 + 2.46731i) q^{28} +0.184063 q^{29} +(-14.9631 - 8.63897i) q^{30} +(0.659317 - 2.46060i) q^{31} +(-7.12546 - 1.90926i) q^{32} +(1.18046 + 4.40553i) q^{33} +(3.30641 - 3.30641i) q^{34} +(5.85172 + 6.90744i) q^{35} +6.56544i q^{36} +(-0.210190 + 0.0563202i) q^{37} +(4.96603 + 8.60141i) q^{38} +(-8.85089 + 3.57820i) q^{39} +(-2.05195 - 1.18470i) q^{40} +(4.63239 + 4.63239i) q^{41} +(4.51013 - 12.5755i) q^{42} -0.562412i q^{43} +(-0.729768 - 2.72353i) q^{44} +(-3.55205 + 13.2564i) q^{45} +(-2.26365 + 8.44806i) q^{46} +(0.998090 + 3.72492i) q^{47} +12.1650i q^{48} +(-4.44878 + 5.40448i) q^{49} +(9.04560 + 9.04560i) q^{50} +(-5.62243 - 3.24611i) q^{51} +(5.47168 - 2.21207i) q^{52} +(-2.67755 - 4.63764i) q^{53} +(4.93069 - 1.32117i) q^{54} -5.89396i q^{55} +(0.618491 - 1.72453i) q^{56} +(9.75092 - 9.75092i) q^{57} +(0.0908505 + 0.339059i) q^{58} +(-13.9411 - 3.73550i) q^{59} +(3.83834 - 14.3249i) q^{60} +(-1.30750 - 0.754885i) q^{61} +4.85807 q^{62} +(-10.5757 - 0.875060i) q^{63} -4.87935i q^{64} +(12.2448 - 1.50613i) q^{65} +(-7.53270 + 4.34901i) q^{66} +(-6.67118 - 1.78754i) q^{67} +(3.47583 + 2.00677i) q^{68} +12.1432 q^{69} +(-9.83576 + 14.1888i) q^{70} +(1.70926 - 1.70926i) q^{71} +(2.68277 - 0.718846i) q^{72} +(11.7847 + 3.15770i) q^{73} +(-0.207493 - 0.359389i) q^{74} +(8.88063 - 15.3817i) q^{75} +(-6.02809 + 6.02809i) q^{76} +(4.48438 - 0.812524i) q^{77} +(-10.9600 - 14.5379i) q^{78} +(-1.48398 + 2.57034i) q^{79} +(4.06875 - 15.1848i) q^{80} +(2.47267 + 4.28279i) q^{81} +(-6.24677 + 10.8197i) q^{82} +(0.504742 + 0.504742i) q^{83} +(11.4281 + 0.945590i) q^{84} +(5.93241 + 5.93241i) q^{85} +(1.03601 - 0.277598i) q^{86} +(0.422069 - 0.243682i) q^{87} +(-1.03299 + 0.596396i) q^{88} +(-1.92971 - 7.20177i) q^{89} -26.1726 q^{90} +(2.83396 + 9.10871i) q^{91} -7.50704 q^{92} +(-1.74575 - 6.51522i) q^{93} +(-6.36898 + 3.67713i) q^{94} +(-15.4328 + 8.91011i) q^{95} +(-18.8669 + 5.05537i) q^{96} +(-12.0949 - 12.0949i) q^{97} +(-12.1513 - 5.52745i) q^{98} +(4.88535 + 4.88535i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} - 10q^{11} + 28q^{14} - 44q^{15} + 12q^{16} - 4q^{18} + 12q^{19} - 26q^{21} - 8q^{22} - 12q^{24} + 24q^{26} - 6q^{28} + 16q^{29} + 24q^{31} + 4q^{32} + 48q^{33} + 28q^{35} - 8q^{37} - 6q^{39} - 132q^{40} - 16q^{42} - 42q^{44} - 24q^{45} + 12q^{46} + 30q^{47} + 88q^{50} + 36q^{52} - 12q^{53} + 78q^{54} + 40q^{57} + 26q^{58} - 54q^{59} + 16q^{60} - 48q^{61} + 24q^{63} - 8q^{65} + 12q^{66} + 16q^{67} - 48q^{68} + 50q^{70} - 36q^{71} + 22q^{72} + 66q^{73} + 12q^{74} - 176q^{78} - 32q^{79} + 138q^{80} + 16q^{81} - 58q^{84} - 84q^{85} + 42q^{86} - 24q^{87} - 60q^{89} + 48q^{92} + 6q^{93} - 72q^{94} - 42q^{96} - 86q^{98} - 24q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.493585 + 1.84208i 0.349017 + 1.30255i 0.887849 + 0.460136i \(0.152199\pi\)
−0.538832 + 0.842414i \(0.681134\pi\)
\(3\) 2.29307 1.32391i 1.32391 0.764357i 0.339557 0.940586i \(-0.389723\pi\)
0.984349 + 0.176228i \(0.0563897\pi\)
\(4\) −1.41759 + 0.818448i −0.708797 + 0.409224i
\(5\) −3.30509 + 0.885596i −1.47808 + 0.396051i −0.905694 0.423932i \(-0.860649\pi\)
−0.572388 + 0.819983i \(0.693983\pi\)
\(6\) 3.57057 + 3.57057i 1.45768 + 1.45768i
\(7\) −1.12943 2.39257i −0.426884 0.904306i
\(8\) 0.489646 + 0.489646i 0.173116 + 0.173116i
\(9\) 2.00545 3.47355i 0.668485 1.15785i
\(10\) −3.26268 5.65113i −1.03175 1.78705i
\(11\) −0.445825 + 1.66384i −0.134421 + 0.501667i 0.865578 + 0.500773i \(0.166951\pi\)
−1.00000 0.000893225i \(0.999716\pi\)
\(12\) −2.16710 + 3.75352i −0.625587 + 1.08355i
\(13\) −3.57057 0.501030i −0.990298 0.138961i
\(14\) 3.84984 3.26144i 1.02891 0.871656i
\(15\) −6.40637 + 6.40637i −1.65412 + 1.65412i
\(16\) −2.29718 + 3.97884i −0.574296 + 0.994709i
\(17\) −1.22596 2.12343i −0.297339 0.515006i 0.678187 0.734889i \(-0.262766\pi\)
−0.975526 + 0.219883i \(0.929433\pi\)
\(18\) 7.38842 + 1.97972i 1.74147 + 0.466625i
\(19\) 5.03057 1.34794i 1.15409 0.309238i 0.369488 0.929235i \(-0.379533\pi\)
0.784604 + 0.619997i \(0.212866\pi\)
\(20\) 3.96046 3.96046i 0.885586 0.885586i
\(21\) −5.75740 3.99108i −1.25637 0.870924i
\(22\) −3.28498 −0.700361
\(23\) 3.97172 + 2.29307i 0.828160 + 0.478139i 0.853222 0.521547i \(-0.174645\pi\)
−0.0250620 + 0.999686i \(0.507978\pi\)
\(24\) 1.77104 + 0.474548i 0.361512 + 0.0968668i
\(25\) 5.80922 3.35395i 1.16184 0.670790i
\(26\) −0.839440 6.82459i −0.164628 1.33841i
\(27\) 2.67669i 0.515130i
\(28\) 3.55926 + 2.46731i 0.672638 + 0.466278i
\(29\) 0.184063 0.0341796 0.0170898 0.999854i \(-0.494560\pi\)
0.0170898 + 0.999854i \(0.494560\pi\)
\(30\) −14.9631 8.63897i −2.73188 1.57725i
\(31\) 0.659317 2.46060i 0.118417 0.441938i −0.881103 0.472924i \(-0.843198\pi\)
0.999520 + 0.0309869i \(0.00986501\pi\)
\(32\) −7.12546 1.90926i −1.25962 0.337513i
\(33\) 1.18046 + 4.40553i 0.205492 + 0.766905i
\(34\) 3.30641 3.30641i 0.567045 0.567045i
\(35\) 5.85172 + 6.90744i 0.989121 + 1.16757i
\(36\) 6.56544i 1.09424i
\(37\) −0.210190 + 0.0563202i −0.0345550 + 0.00925899i −0.276055 0.961142i \(-0.589027\pi\)
0.241500 + 0.970401i \(0.422361\pi\)
\(38\) 4.96603 + 8.60141i 0.805596 + 1.39533i
\(39\) −8.85089 + 3.57820i −1.41728 + 0.572971i
\(40\) −2.05195 1.18470i −0.324442 0.187317i
\(41\) 4.63239 + 4.63239i 0.723458 + 0.723458i 0.969308 0.245850i \(-0.0790671\pi\)
−0.245850 + 0.969308i \(0.579067\pi\)
\(42\) 4.51013 12.5755i 0.695928 1.94045i
\(43\) 0.562412i 0.0857671i −0.999080 0.0428835i \(-0.986346\pi\)
0.999080 0.0428835i \(-0.0136544\pi\)
\(44\) −0.729768 2.72353i −0.110017 0.410588i
\(45\) −3.55205 + 13.2564i −0.529508 + 1.97615i
\(46\) −2.26365 + 8.44806i −0.333757 + 1.24560i
\(47\) 0.998090 + 3.72492i 0.145586 + 0.543336i 0.999729 + 0.0232964i \(0.00741615\pi\)
−0.854142 + 0.520040i \(0.825917\pi\)
\(48\) 12.1650i 1.75587i
\(49\) −4.44878 + 5.40448i −0.635540 + 0.772068i
\(50\) 9.04560 + 9.04560i 1.27924 + 1.27924i
\(51\) −5.62243 3.24611i −0.787298 0.454547i
\(52\) 5.47168 2.21207i 0.758786 0.306759i
\(53\) −2.67755 4.63764i −0.367789 0.637029i 0.621430 0.783469i \(-0.286552\pi\)
−0.989220 + 0.146440i \(0.953219\pi\)
\(54\) 4.93069 1.32117i 0.670982 0.179789i
\(55\) 5.89396i 0.794742i
\(56\) 0.618491 1.72453i 0.0826494 0.230450i
\(57\) 9.75092 9.75092i 1.29154 1.29154i
\(58\) 0.0908505 + 0.339059i 0.0119293 + 0.0445206i
\(59\) −13.9411 3.73550i −1.81497 0.486320i −0.818827 0.574041i \(-0.805375\pi\)
−0.996145 + 0.0877205i \(0.972042\pi\)
\(60\) 3.83834 14.3249i 0.495528 1.84934i
\(61\) −1.30750 0.754885i −0.167408 0.0966531i 0.413955 0.910297i \(-0.364147\pi\)
−0.581363 + 0.813644i \(0.697480\pi\)
\(62\) 4.85807 0.616975
\(63\) −10.5757 0.875060i −1.33242 0.110247i
\(64\) 4.87935i 0.609918i
\(65\) 12.2448 1.50613i 1.51878 0.186813i
\(66\) −7.53270 + 4.34901i −0.927212 + 0.535326i
\(67\) −6.67118 1.78754i −0.815014 0.218382i −0.172848 0.984948i \(-0.555297\pi\)
−0.642165 + 0.766566i \(0.721964\pi\)
\(68\) 3.47583 + 2.00677i 0.421506 + 0.243357i
\(69\) 12.1432 1.46188
\(70\) −9.83576 + 14.1888i −1.17560 + 1.69588i
\(71\) 1.70926 1.70926i 0.202852 0.202852i −0.598369 0.801221i \(-0.704184\pi\)
0.801221 + 0.598369i \(0.204184\pi\)
\(72\) 2.68277 0.718846i 0.316168 0.0847168i
\(73\) 11.7847 + 3.15770i 1.37929 + 0.369581i 0.870864 0.491523i \(-0.163560\pi\)
0.508429 + 0.861104i \(0.330226\pi\)
\(74\) −0.207493 0.359389i −0.0241206 0.0417781i
\(75\) 8.88063 15.3817i 1.02545 1.77613i
\(76\) −6.02809 + 6.02809i −0.691469 + 0.691469i
\(77\) 4.48438 0.812524i 0.511043 0.0925957i
\(78\) −10.9600 14.5379i −1.24098 1.64610i
\(79\) −1.48398 + 2.57034i −0.166961 + 0.289185i −0.937350 0.348389i \(-0.886729\pi\)
0.770389 + 0.637574i \(0.220062\pi\)
\(80\) 4.06875 15.1848i 0.454900 1.69771i
\(81\) 2.47267 + 4.28279i 0.274741 + 0.475866i
\(82\) −6.24677 + 10.8197i −0.689840 + 1.19484i
\(83\) 0.504742 + 0.504742i 0.0554026 + 0.0554026i 0.734265 0.678863i \(-0.237527\pi\)
−0.678863 + 0.734265i \(0.737527\pi\)
\(84\) 11.4281 + 0.945590i 1.24691 + 0.103172i
\(85\) 5.93241 + 5.93241i 0.643460 + 0.643460i
\(86\) 1.03601 0.277598i 0.111716 0.0299342i
\(87\) 0.422069 0.243682i 0.0452505 0.0261254i
\(88\) −1.03299 + 0.596396i −0.110117 + 0.0635760i
\(89\) −1.92971 7.20177i −0.204549 0.763386i −0.989587 0.143938i \(-0.954023\pi\)
0.785038 0.619447i \(-0.212643\pi\)
\(90\) −26.1726 −2.75884
\(91\) 2.83396 + 9.10871i 0.297080 + 0.954853i
\(92\) −7.50704 −0.782663
\(93\) −1.74575 6.51522i −0.181026 0.675597i
\(94\) −6.36898 + 3.67713i −0.656910 + 0.379267i
\(95\) −15.4328 + 8.91011i −1.58337 + 0.914158i
\(96\) −18.8669 + 5.05537i −1.92559 + 0.515961i
\(97\) −12.0949 12.0949i −1.22805 1.22805i −0.964699 0.263356i \(-0.915171\pi\)
−0.263356 0.964699i \(-0.584829\pi\)
\(98\) −12.1513 5.52745i −1.22747 0.558357i
\(99\) 4.88535 + 4.88535i 0.490996 + 0.490996i
\(100\) −5.49007 + 9.50908i −0.549007 + 0.950908i
\(101\) 4.11357 + 7.12491i 0.409316 + 0.708955i 0.994813 0.101719i \(-0.0324342\pi\)
−0.585498 + 0.810674i \(0.699101\pi\)
\(102\) 3.20446 11.9592i 0.317289 1.18414i
\(103\) 3.74883 6.49316i 0.369383 0.639790i −0.620086 0.784534i \(-0.712902\pi\)
0.989469 + 0.144743i \(0.0462357\pi\)
\(104\) −1.50299 1.99364i −0.147380 0.195493i
\(105\) 22.5632 + 8.09214i 2.20194 + 0.789712i
\(106\) 7.22133 7.22133i 0.701398 0.701398i
\(107\) 1.99457 3.45470i 0.192823 0.333978i −0.753362 0.657606i \(-0.771569\pi\)
0.946185 + 0.323628i \(0.104902\pi\)
\(108\) 2.19073 + 3.79446i 0.210803 + 0.365122i
\(109\) 11.2778 + 3.02188i 1.08022 + 0.289443i 0.754685 0.656088i \(-0.227790\pi\)
0.325532 + 0.945531i \(0.394456\pi\)
\(110\) 10.8572 2.90917i 1.03519 0.277378i
\(111\) −0.407418 + 0.407418i −0.0386704 + 0.0386704i
\(112\) 12.1141 + 1.00235i 1.14468 + 0.0947134i
\(113\) −8.36429 −0.786846 −0.393423 0.919358i \(-0.628709\pi\)
−0.393423 + 0.919358i \(0.628709\pi\)
\(114\) 22.7749 + 13.1491i 2.13307 + 1.23153i
\(115\) −15.1576 4.06147i −1.41346 0.378734i
\(116\) −0.260926 + 0.150646i −0.0242264 + 0.0139871i
\(117\) −8.90096 + 11.3978i −0.822894 + 1.05372i
\(118\) 27.5244i 2.53382i
\(119\) −3.69581 + 5.33146i −0.338794 + 0.488734i
\(120\) −6.27370 −0.572708
\(121\) 6.95668 + 4.01644i 0.632425 + 0.365131i
\(122\) 0.745199 2.78112i 0.0674671 0.251791i
\(123\) 16.7553 + 4.48956i 1.51077 + 0.404810i
\(124\) 1.07923 + 4.02775i 0.0969180 + 0.361703i
\(125\) −4.13226 + 4.13226i −0.369601 + 0.369601i
\(126\) −3.60808 19.9133i −0.321434 1.77402i
\(127\) 12.0998i 1.07368i −0.843684 0.536840i \(-0.819618\pi\)
0.843684 0.536840i \(-0.180382\pi\)
\(128\) −5.26276 + 1.41015i −0.465167 + 0.124641i
\(129\) −0.744581 1.28965i −0.0655567 0.113548i
\(130\) 8.81825 + 21.8125i 0.773412 + 1.91308i
\(131\) 1.54544 + 0.892262i 0.135026 + 0.0779573i 0.565991 0.824411i \(-0.308494\pi\)
−0.430965 + 0.902368i \(0.641827\pi\)
\(132\) −5.27911 5.27911i −0.459488 0.459488i
\(133\) −8.90671 10.5136i −0.772310 0.911644i
\(134\) 13.1712i 1.13781i
\(135\) 2.37047 + 8.84671i 0.204018 + 0.761404i
\(136\) 0.439440 1.64001i 0.0376817 0.140630i
\(137\) 5.02570 18.7562i 0.429374 1.60245i −0.324807 0.945780i \(-0.605299\pi\)
0.754181 0.656666i \(-0.228034\pi\)
\(138\) 5.99372 + 22.3689i 0.510219 + 1.90416i
\(139\) 13.5866i 1.15240i 0.817310 + 0.576198i \(0.195464\pi\)
−0.817310 + 0.576198i \(0.804536\pi\)
\(140\) −13.9487 5.00261i −1.17888 0.422798i
\(141\) 7.22014 + 7.22014i 0.608046 + 0.608046i
\(142\) 3.99226 + 2.30493i 0.335023 + 0.193426i
\(143\) 2.42548 5.71748i 0.202829 0.478120i
\(144\) 9.21379 + 15.9587i 0.767815 + 1.32990i
\(145\) −0.608344 + 0.163005i −0.0505202 + 0.0135368i
\(146\) 23.2670i 1.92559i
\(147\) −3.04635 + 18.2826i −0.251259 + 1.50793i
\(148\) 0.251869 0.251869i 0.0207035 0.0207035i
\(149\) 0.951123 + 3.54964i 0.0779190 + 0.290798i 0.993879 0.110471i \(-0.0352360\pi\)
−0.915960 + 0.401269i \(0.868569\pi\)
\(150\) 32.7177 + 8.76669i 2.67139 + 0.715797i
\(151\) 4.65978 17.3905i 0.379207 1.41522i −0.467892 0.883786i \(-0.654986\pi\)
0.847099 0.531435i \(-0.178347\pi\)
\(152\) 3.12321 + 1.80319i 0.253326 + 0.146258i
\(153\) −9.83443 −0.795066
\(154\) 3.71016 + 7.85955i 0.298973 + 0.633341i
\(155\) 8.71641i 0.700119i
\(156\) 9.61839 12.3164i 0.770088 0.986103i
\(157\) −15.8740 + 9.16488i −1.26689 + 0.731437i −0.974398 0.224832i \(-0.927817\pi\)
−0.292489 + 0.956269i \(0.594483\pi\)
\(158\) −5.46724 1.46494i −0.434951 0.116545i
\(159\) −12.2796 7.08964i −0.973836 0.562245i
\(160\) 25.2411 1.99549
\(161\) 1.00056 12.0925i 0.0788551 0.953021i
\(162\) −6.66879 + 6.66879i −0.523949 + 0.523949i
\(163\) 12.4820 3.34454i 0.977665 0.261964i 0.265604 0.964082i \(-0.414429\pi\)
0.712061 + 0.702118i \(0.247762\pi\)
\(164\) −10.3582 2.77547i −0.808840 0.216728i
\(165\) −7.80305 13.5153i −0.607467 1.05216i
\(166\) −0.680643 + 1.17891i −0.0528282 + 0.0915011i
\(167\) −10.6807 + 10.6807i −0.826494 + 0.826494i −0.987030 0.160536i \(-0.948678\pi\)
0.160536 + 0.987030i \(0.448678\pi\)
\(168\) −0.864873 4.77330i −0.0667264 0.368268i
\(169\) 12.4979 + 3.57793i 0.961380 + 0.275225i
\(170\) −7.99984 + 13.8561i −0.613560 + 1.06272i
\(171\) 5.40645 20.1772i 0.413442 1.54299i
\(172\) 0.460305 + 0.797272i 0.0350979 + 0.0607914i
\(173\) 1.31009 2.26914i 0.0996041 0.172519i −0.811917 0.583773i \(-0.801576\pi\)
0.911521 + 0.411254i \(0.134909\pi\)
\(174\) 0.657209 + 0.657209i 0.0498229 + 0.0498229i
\(175\) −14.5857 10.1109i −1.10257 0.764312i
\(176\) −5.59601 5.59601i −0.421815 0.421815i
\(177\) −36.9133 + 9.89089i −2.77457 + 0.743445i
\(178\) 12.3138 7.10936i 0.922957 0.532869i
\(179\) −21.9610 + 12.6792i −1.64144 + 0.947687i −0.661119 + 0.750281i \(0.729918\pi\)
−0.980322 + 0.197406i \(0.936748\pi\)
\(180\) −5.81433 21.6994i −0.433374 1.61737i
\(181\) −1.00365 −0.0746008 −0.0373004 0.999304i \(-0.511876\pi\)
−0.0373004 + 0.999304i \(0.511876\pi\)
\(182\) −15.3802 + 9.71631i −1.14006 + 0.720221i
\(183\) −3.99758 −0.295510
\(184\) 0.821942 + 3.06753i 0.0605944 + 0.226141i
\(185\) 0.644820 0.372287i 0.0474081 0.0273711i
\(186\) 11.1399 6.43162i 0.816817 0.471589i
\(187\) 4.07960 1.09313i 0.298330 0.0799373i
\(188\) −4.46354 4.46354i −0.325537 0.325537i
\(189\) −6.40417 + 3.02314i −0.465835 + 0.219901i
\(190\) −24.0305 24.0305i −1.74336 1.74336i
\(191\) 0.525192 0.909659i 0.0380016 0.0658206i −0.846399 0.532549i \(-0.821234\pi\)
0.884401 + 0.466729i \(0.154567\pi\)
\(192\) −6.45980 11.1887i −0.466196 0.807475i
\(193\) 0.511716 1.90975i 0.0368341 0.137467i −0.945060 0.326896i \(-0.893997\pi\)
0.981894 + 0.189430i \(0.0606639\pi\)
\(194\) 16.3100 28.2497i 1.17099 2.02821i
\(195\) 26.0842 19.6646i 1.86793 1.40821i
\(196\) 1.88327 11.3024i 0.134520 0.807317i
\(197\) −3.36094 + 3.36094i −0.239457 + 0.239457i −0.816625 0.577168i \(-0.804158\pi\)
0.577168 + 0.816625i \(0.304158\pi\)
\(198\) −6.58788 + 11.4105i −0.468180 + 0.810912i
\(199\) 5.10311 + 8.83885i 0.361750 + 0.626569i 0.988249 0.152853i \(-0.0488461\pi\)
−0.626499 + 0.779422i \(0.715513\pi\)
\(200\) 4.48671 + 1.20221i 0.317258 + 0.0850091i
\(201\) −17.6640 + 4.73306i −1.24592 + 0.333844i
\(202\) −11.0943 + 11.0943i −0.780591 + 0.780591i
\(203\) −0.207886 0.440383i −0.0145907 0.0309088i
\(204\) 10.6271 0.744045
\(205\) −19.4129 11.2080i −1.35586 0.782803i
\(206\) 13.8113 + 3.70073i 0.962280 + 0.257842i
\(207\) 15.9302 9.19730i 1.10722 0.639257i
\(208\) 10.1958 13.0558i 0.706949 0.905254i
\(209\) 8.97101i 0.620538i
\(210\) −3.76953 + 45.5575i −0.260122 + 3.14376i
\(211\) 16.1396 1.11109 0.555547 0.831485i \(-0.312509\pi\)
0.555547 + 0.831485i \(0.312509\pi\)
\(212\) 7.59134 + 4.38286i 0.521375 + 0.301016i
\(213\) 1.65656 6.18236i 0.113505 0.423608i
\(214\) 7.34833 + 1.96898i 0.502322 + 0.134597i
\(215\) 0.498070 + 1.85882i 0.0339681 + 0.126771i
\(216\) 1.31063 1.31063i 0.0891772 0.0891772i
\(217\) −6.63182 + 1.20162i −0.450197 + 0.0815711i
\(218\) 22.2662i 1.50806i
\(219\) 31.2036 8.36099i 2.10855 0.564983i
\(220\) 4.82390 + 8.35524i 0.325227 + 0.563310i
\(221\) 3.31348 + 8.19608i 0.222889 + 0.551328i
\(222\) −0.951593 0.549403i −0.0638668 0.0368735i
\(223\) −0.0939482 0.0939482i −0.00629124 0.00629124i 0.703954 0.710245i \(-0.251416\pi\)
−0.710245 + 0.703954i \(0.751416\pi\)
\(224\) 3.47967 + 19.2045i 0.232495 + 1.28316i
\(225\) 26.9048i 1.79365i
\(226\) −4.12848 15.4077i −0.274623 1.02491i
\(227\) −6.86181 + 25.6086i −0.455434 + 1.69970i 0.231374 + 0.972865i \(0.425678\pi\)
−0.686808 + 0.726839i \(0.740989\pi\)
\(228\) −5.84222 + 21.8035i −0.386910 + 1.44397i
\(229\) 4.55909 + 17.0148i 0.301273 + 1.12437i 0.936106 + 0.351718i \(0.114402\pi\)
−0.634833 + 0.772650i \(0.718931\pi\)
\(230\) 29.9263i 1.97328i
\(231\) 9.20730 7.80007i 0.605796 0.513207i
\(232\) 0.0901255 + 0.0901255i 0.00591703 + 0.00591703i
\(233\) −4.40536 2.54344i −0.288605 0.166626i 0.348708 0.937232i \(-0.386621\pi\)
−0.637313 + 0.770605i \(0.719954\pi\)
\(234\) −25.3890 10.7706i −1.65973 0.704093i
\(235\) −6.59756 11.4273i −0.430377 0.745435i
\(236\) 22.8201 6.11462i 1.48546 0.398028i
\(237\) 7.85862i 0.510472i
\(238\) −11.6452 4.17646i −0.754845 0.270720i
\(239\) −13.0182 + 13.0182i −0.842079 + 0.842079i −0.989129 0.147050i \(-0.953022\pi\)
0.147050 + 0.989129i \(0.453022\pi\)
\(240\) −10.7733 40.2065i −0.695413 2.59532i
\(241\) −2.63382 0.705731i −0.169659 0.0454601i 0.172989 0.984924i \(-0.444657\pi\)
−0.342649 + 0.939464i \(0.611324\pi\)
\(242\) −3.96490 + 14.7972i −0.254874 + 0.951202i
\(243\) 18.2943 + 10.5622i 1.17358 + 0.677566i
\(244\) 2.47133 0.158211
\(245\) 9.91743 21.8021i 0.633601 1.39289i
\(246\) 33.0805i 2.10914i
\(247\) −18.6374 + 2.29244i −1.18587 + 0.145864i
\(248\) 1.52766 0.881993i 0.0970063 0.0560066i
\(249\) 1.82564 + 0.489179i 0.115695 + 0.0310004i
\(250\) −9.65160 5.57235i −0.610421 0.352426i
\(251\) −21.4230 −1.35221 −0.676105 0.736805i \(-0.736334\pi\)
−0.676105 + 0.736805i \(0.736334\pi\)
\(252\) 15.7083 7.41520i 0.989528 0.467114i
\(253\) −5.58599 + 5.58599i −0.351188 + 0.351188i
\(254\) 22.2888 5.97226i 1.39852 0.374733i
\(255\) 21.4574 + 5.74949i 1.34371 + 0.360047i
\(256\) −10.0746 17.4497i −0.629662 1.09061i
\(257\) 4.80460 8.32182i 0.299703 0.519101i −0.676365 0.736567i \(-0.736446\pi\)
0.976068 + 0.217466i \(0.0697791\pi\)
\(258\) 2.00813 2.00813i 0.125021 0.125021i
\(259\) 0.372145 + 0.439284i 0.0231240 + 0.0272958i
\(260\) −16.1254 + 12.1568i −1.00006 + 0.753932i
\(261\) 0.369129 0.639350i 0.0228485 0.0395748i
\(262\) −0.880814 + 3.28724i −0.0544168 + 0.203086i
\(263\) 3.93499 + 6.81560i 0.242642 + 0.420268i 0.961466 0.274924i \(-0.0886527\pi\)
−0.718824 + 0.695192i \(0.755319\pi\)
\(264\) −1.57914 + 2.73516i −0.0971896 + 0.168337i
\(265\) 12.9566 + 12.9566i 0.795918 + 0.795918i
\(266\) 14.9707 21.5962i 0.917912 1.32415i
\(267\) −13.9594 13.9594i −0.854303 0.854303i
\(268\) 10.9200 2.92601i 0.667046 0.178734i
\(269\) −3.44131 + 1.98684i −0.209820 + 0.121140i −0.601228 0.799078i \(-0.705322\pi\)
0.391408 + 0.920217i \(0.371988\pi\)
\(270\) −15.1264 + 8.73320i −0.920560 + 0.531486i
\(271\) 4.42472 + 16.5133i 0.268782 + 1.00311i 0.959894 + 0.280362i \(0.0904544\pi\)
−0.691112 + 0.722748i \(0.742879\pi\)
\(272\) 11.2650 0.683042
\(273\) 18.5576 + 17.1350i 1.12315 + 1.03706i
\(274\) 37.0310 2.23712
\(275\) 2.99055 + 11.1609i 0.180337 + 0.673026i
\(276\) −17.2142 + 9.93861i −1.03617 + 0.598234i
\(277\) 21.7301 12.5459i 1.30564 0.753811i 0.324273 0.945963i \(-0.394880\pi\)
0.981365 + 0.192153i \(0.0615470\pi\)
\(278\) −25.0276 + 6.70611i −1.50105 + 0.402206i
\(279\) −7.22480 7.22480i −0.432537 0.432537i
\(280\) −0.516930 + 6.24747i −0.0308925 + 0.373358i
\(281\) −2.15639 2.15639i −0.128639 0.128639i 0.639856 0.768495i \(-0.278994\pi\)
−0.768495 + 0.639856i \(0.778994\pi\)
\(282\) −9.73635 + 16.8639i −0.579791 + 1.00423i
\(283\) −5.67952 9.83723i −0.337613 0.584762i 0.646370 0.763024i \(-0.276286\pi\)
−0.983983 + 0.178261i \(0.942953\pi\)
\(284\) −1.02410 + 3.82198i −0.0607689 + 0.226793i
\(285\) −23.5923 + 40.8631i −1.39749 + 2.42052i
\(286\) 11.7293 + 1.64588i 0.693566 + 0.0973226i
\(287\) 5.85136 16.3153i 0.345395 0.963060i
\(288\) −20.9217 + 20.9217i −1.23282 + 1.23282i
\(289\) 5.49404 9.51596i 0.323179 0.559762i
\(290\) −0.600538 1.04016i −0.0352648 0.0610805i
\(291\) −43.7471 11.7220i −2.56450 0.687156i
\(292\) −19.2903 + 5.16882i −1.12888 + 0.302482i
\(293\) 10.2833 10.2833i 0.600758 0.600758i −0.339756 0.940514i \(-0.610344\pi\)
0.940514 + 0.339756i \(0.110344\pi\)
\(294\) −35.1817 + 3.41240i −2.05184 + 0.199015i
\(295\) 49.3846 2.87528
\(296\) −0.130496 0.0753417i −0.00758490 0.00437915i
\(297\) 4.45359 + 1.19334i 0.258423 + 0.0692443i
\(298\) −6.06927 + 3.50410i −0.351583 + 0.202987i
\(299\) −13.0324 10.1775i −0.753683 0.588581i
\(300\) 29.0733i 1.67855i
\(301\) −1.34561 + 0.635205i −0.0775597 + 0.0366126i
\(302\) 34.3348 1.97575
\(303\) 18.8654 + 10.8920i 1.08379 + 0.625727i
\(304\) −6.19292 + 23.1123i −0.355188 + 1.32558i
\(305\) 4.98992 + 1.33705i 0.285722 + 0.0765590i
\(306\) −4.85412 18.1158i −0.277492 1.03561i
\(307\) −7.01794 + 7.01794i −0.400535 + 0.400535i −0.878422 0.477886i \(-0.841403\pi\)
0.477886 + 0.878422i \(0.341403\pi\)
\(308\) −5.69202 + 4.82206i −0.324333 + 0.274762i
\(309\) 19.8524i 1.12936i
\(310\) −16.0563 + 4.30229i −0.911939 + 0.244353i
\(311\) −1.26356 2.18855i −0.0716498 0.124101i 0.827975 0.560766i \(-0.189493\pi\)
−0.899625 + 0.436664i \(0.856160\pi\)
\(312\) −6.08585 2.58175i −0.344544 0.146163i
\(313\) −2.98609 1.72402i −0.168784 0.0974473i 0.413229 0.910627i \(-0.364401\pi\)
−0.582012 + 0.813180i \(0.697734\pi\)
\(314\) −24.7177 24.7177i −1.39490 1.39490i
\(315\) 35.7287 6.47367i 2.01308 0.364750i
\(316\) 4.85825i 0.273298i
\(317\) −8.19402 30.5805i −0.460222 1.71757i −0.672264 0.740312i \(-0.734678\pi\)
0.212041 0.977261i \(-0.431989\pi\)
\(318\) 6.99867 26.1194i 0.392466 1.46470i
\(319\) −0.0820597 + 0.306251i −0.00459446 + 0.0171468i
\(320\) 4.32113 + 16.1267i 0.241559 + 0.901509i
\(321\) 10.5625i 0.589541i
\(322\) 22.7692 4.12555i 1.26888 0.229908i
\(323\) −9.02953 9.02953i −0.502416 0.502416i
\(324\) −7.01048 4.04750i −0.389471 0.224861i
\(325\) −22.4226 + 9.06493i −1.24378 + 0.502832i
\(326\) 12.3218 + 21.3420i 0.682443 + 1.18203i
\(327\) 29.8615 8.00136i 1.65134 0.442476i
\(328\) 4.53646i 0.250484i
\(329\) 7.78487 6.59504i 0.429194 0.363596i
\(330\) 21.0448 21.0448i 1.15848 1.15848i
\(331\) 8.44029 + 31.4996i 0.463920 + 1.73137i 0.660445 + 0.750874i \(0.270368\pi\)
−0.196525 + 0.980499i \(0.562966\pi\)
\(332\) −1.12862 0.302414i −0.0619412 0.0165971i
\(333\) −0.225895 + 0.843053i −0.0123790 + 0.0461990i
\(334\) −24.9465 14.4029i −1.36501 0.788089i
\(335\) 23.6319 1.29115
\(336\) 29.1056 13.7395i 1.58784 0.749553i
\(337\) 8.54695i 0.465582i 0.972527 + 0.232791i \(0.0747858\pi\)
−0.972527 + 0.232791i \(0.925214\pi\)
\(338\) −0.422045 + 24.7882i −0.0229562 + 1.34830i
\(339\) −19.1799 + 11.0735i −1.04171 + 0.601432i
\(340\) −13.2651 3.55437i −0.719401 0.192763i
\(341\) 3.80011 + 2.19400i 0.205788 + 0.118812i
\(342\) 39.8365 2.15411
\(343\) 17.9552 + 4.54003i 0.969488 + 0.245139i
\(344\) 0.275383 0.275383i 0.0148476 0.0148476i
\(345\) −40.1345 + 10.7540i −2.16077 + 0.578977i
\(346\) 4.82658 + 1.29328i 0.259478 + 0.0695270i
\(347\) −1.36789 2.36925i −0.0734321 0.127188i 0.826971 0.562244i \(-0.190062\pi\)
−0.900403 + 0.435056i \(0.856729\pi\)
\(348\) −0.398881 + 0.690883i −0.0213823 + 0.0370352i
\(349\) −8.57575 + 8.57575i −0.459049 + 0.459049i −0.898343 0.439294i \(-0.855229\pi\)
0.439294 + 0.898343i \(0.355229\pi\)
\(350\) 11.4259 31.8586i 0.610738 1.70291i
\(351\) −1.34110 + 9.55732i −0.0715828 + 0.510132i
\(352\) 6.35341 11.0044i 0.338638 0.586538i
\(353\) 2.83977 10.5982i 0.151146 0.564083i −0.848259 0.529581i \(-0.822349\pi\)
0.999405 0.0345014i \(-0.0109843\pi\)
\(354\) −36.4397 63.1154i −1.93675 3.35455i
\(355\) −4.13555 + 7.16298i −0.219492 + 0.380171i
\(356\) 8.62981 + 8.62981i 0.457379 + 0.457379i
\(357\) −1.41641 + 17.1183i −0.0749643 + 0.905997i
\(358\) −34.1957 34.1957i −1.80730 1.80730i
\(359\) 1.03433 0.277147i 0.0545897 0.0146273i −0.231421 0.972854i \(-0.574337\pi\)
0.286011 + 0.958226i \(0.407671\pi\)
\(360\) −8.23019 + 4.75170i −0.433769 + 0.250437i
\(361\) 7.03523 4.06179i 0.370275 0.213779i
\(362\) −0.495387 1.84881i −0.0260370 0.0971712i
\(363\) 21.2695 1.11636
\(364\) −11.4724 10.5930i −0.601317 0.555224i
\(365\) −41.7459 −2.18508
\(366\) −1.97315 7.36388i −0.103138 0.384916i
\(367\) 6.72705 3.88386i 0.351149 0.202736i −0.314042 0.949409i \(-0.601683\pi\)
0.665191 + 0.746673i \(0.268350\pi\)
\(368\) −18.2475 + 10.5352i −0.951218 + 0.549186i
\(369\) 25.3809 6.80078i 1.32128 0.354035i
\(370\) 1.00406 + 1.00406i 0.0521984 + 0.0521984i
\(371\) −8.07179 + 11.6441i −0.419066 + 0.604532i
\(372\) 7.80712 + 7.80712i 0.404781 + 0.404781i
\(373\) 8.89119 15.4000i 0.460368 0.797382i −0.538611 0.842555i \(-0.681051\pi\)
0.998979 + 0.0451732i \(0.0143840\pi\)
\(374\) 4.02726 + 6.97542i 0.208245 + 0.360690i
\(375\) −4.00485 + 14.9463i −0.206810 + 0.771824i
\(376\) −1.33518 + 2.31260i −0.0688568 + 0.119263i
\(377\) −0.657209 0.0922209i −0.0338480 0.00474962i
\(378\) −8.72987 10.3048i −0.449016 0.530024i
\(379\) −25.3241 + 25.3241i −1.30081 + 1.30081i −0.372964 + 0.927846i \(0.621659\pi\)
−0.927846 + 0.372964i \(0.878341\pi\)
\(380\) 14.5849 25.2618i 0.748191 1.29590i
\(381\) −16.0189 27.7456i −0.820675 1.42145i
\(382\) 1.93489 + 0.518453i 0.0989978 + 0.0265264i
\(383\) 20.0607 5.37524i 1.02505 0.274662i 0.293147 0.956068i \(-0.405298\pi\)
0.731906 + 0.681405i \(0.238631\pi\)
\(384\) −10.2010 + 10.2010i −0.520567 + 0.520567i
\(385\) −14.1017 + 6.65682i −0.718690 + 0.339263i
\(386\) 3.77049 0.191913
\(387\) −1.95357 1.12789i −0.0993053 0.0573340i
\(388\) 27.0448 + 7.24662i 1.37299 + 0.367892i
\(389\) −6.90083 + 3.98420i −0.349886 + 0.202007i −0.664635 0.747168i \(-0.731413\pi\)
0.314749 + 0.949175i \(0.398080\pi\)
\(390\) 49.0986 + 38.3430i 2.48620 + 1.94158i
\(391\) 11.2449i 0.568677i
\(392\) −4.82461 + 0.467955i −0.243679 + 0.0236353i
\(393\) 4.72508 0.238349
\(394\) −7.85005 4.53223i −0.395480 0.228330i
\(395\) 2.62842 9.80941i 0.132250 0.493565i
\(396\) −10.9238 2.92703i −0.548943 0.147089i
\(397\) 7.95249 + 29.6791i 0.399124 + 1.48955i 0.814641 + 0.579966i \(0.196934\pi\)
−0.415516 + 0.909586i \(0.636399\pi\)
\(398\) −13.7631 + 13.7631i −0.689880 + 0.689880i
\(399\) −34.3427 12.3168i −1.71929 0.616610i
\(400\) 30.8186i 1.54093i
\(401\) −21.7664 + 5.83228i −1.08696 + 0.291250i −0.757444 0.652900i \(-0.773552\pi\)
−0.329516 + 0.944150i \(0.606885\pi\)
\(402\) −17.4374 30.2024i −0.869697 1.50636i
\(403\) −3.58697 + 8.45542i −0.178680 + 0.421195i
\(404\) −11.6627 6.73348i −0.580243 0.335003i
\(405\) −11.9652 11.9652i −0.594557 0.594557i
\(406\) 0.708612 0.600309i 0.0351678 0.0297928i
\(407\) 0.374831i 0.0185797i
\(408\) −1.16356 4.34245i −0.0576046 0.214983i
\(409\) 10.2133 38.1167i 0.505016 1.88475i 0.0405065 0.999179i \(-0.487103\pi\)
0.464510 0.885568i \(-0.346230\pi\)
\(410\) 11.0642 41.2923i 0.546423 2.03928i
\(411\) −13.3071 49.6628i −0.656391 2.44968i
\(412\) 12.2729i 0.604642i
\(413\) 6.80801 + 37.5739i 0.335001 + 1.84889i
\(414\) 24.8051 + 24.8051i 1.21910 + 1.21910i
\(415\) −2.11521 1.22122i −0.103832 0.0599473i
\(416\) 24.4854 + 10.3872i 1.20049 + 0.509276i
\(417\) 17.9873 + 31.1549i 0.880843 + 1.52566i
\(418\) −16.5253 + 4.42795i −0.808281 + 0.216578i
\(419\) 6.86945i 0.335595i −0.985821 0.167797i \(-0.946335\pi\)
0.985821 0.167797i \(-0.0536654\pi\)
\(420\) −38.6084 + 6.99546i −1.88390 + 0.341343i
\(421\) −16.8752 + 16.8752i −0.822445 + 0.822445i −0.986458 0.164013i \(-0.947556\pi\)
0.164013 + 0.986458i \(0.447556\pi\)
\(422\) 7.96624 + 29.7304i 0.387790 + 1.44725i
\(423\) 14.9403 + 4.00325i 0.726424 + 0.194645i
\(424\) 0.959754 3.58185i 0.0466098 0.173950i
\(425\) −14.2437 8.22363i −0.690923 0.398904i
\(426\) 12.2061 0.591386
\(427\) −0.329386 + 3.98087i −0.0159401 + 0.192648i
\(428\) 6.52981i 0.315630i
\(429\) −2.00761 16.3217i −0.0969282 0.788020i
\(430\) −3.17827 + 1.83497i −0.153270 + 0.0884903i
\(431\) 34.3384 + 9.20095i 1.65402 + 0.443194i 0.960735 0.277467i \(-0.0894948\pi\)
0.693288 + 0.720661i \(0.256161\pi\)
\(432\) 10.6501 + 6.14885i 0.512404 + 0.295837i
\(433\) 6.53945 0.314266 0.157133 0.987577i \(-0.449775\pi\)
0.157133 + 0.987577i \(0.449775\pi\)
\(434\) −5.48684 11.6233i −0.263377 0.557934i
\(435\) −1.17917 + 1.17917i −0.0565370 + 0.0565370i
\(436\) −18.4606 + 4.94650i −0.884101 + 0.236894i
\(437\) 23.0709 + 6.18184i 1.10363 + 0.295717i
\(438\) 30.8033 + 53.3528i 1.47184 + 2.54930i
\(439\) −12.2931 + 21.2923i −0.586719 + 1.01623i 0.407940 + 0.913009i \(0.366247\pi\)
−0.994659 + 0.103218i \(0.967086\pi\)
\(440\) 2.88595 2.88595i 0.137582 0.137582i
\(441\) 9.85089 + 26.2915i 0.469090 + 1.25197i
\(442\) −13.4624 + 10.1492i −0.640340 + 0.482746i
\(443\) 7.79952 13.5092i 0.370566 0.641840i −0.619086 0.785323i \(-0.712497\pi\)
0.989653 + 0.143483i \(0.0458303\pi\)
\(444\) 0.244103 0.911004i 0.0115846 0.0432343i
\(445\) 12.7557 + 22.0935i 0.604679 + 1.04733i
\(446\) 0.126689 0.219432i 0.00599890 0.0103904i
\(447\) 6.88038 + 6.88038i 0.325431 + 0.325431i
\(448\) −11.6742 + 5.51088i −0.551553 + 0.260365i
\(449\) 28.6271 + 28.6271i 1.35100 + 1.35100i 0.884550 + 0.466445i \(0.154465\pi\)
0.466445 + 0.884550i \(0.345535\pi\)
\(450\) 49.5608 13.2798i 2.33632 0.626015i
\(451\) −9.77279 + 5.64232i −0.460183 + 0.265686i
\(452\) 11.8572 6.84573i 0.557714 0.321996i
\(453\) −12.3382 46.0468i −0.579700 2.16347i
\(454\) −50.5601 −2.37290
\(455\) −17.4331 27.5954i −0.817278 1.29369i
\(456\) 9.54900 0.447173
\(457\) −3.38248 12.6236i −0.158226 0.590507i −0.998808 0.0488218i \(-0.984453\pi\)
0.840582 0.541685i \(-0.182213\pi\)
\(458\) −29.0923 + 16.7965i −1.35939 + 0.784847i
\(459\) −5.68376 + 3.28152i −0.265295 + 0.153168i
\(460\) 24.8114 6.64821i 1.15684 0.309974i
\(461\) 3.55813 + 3.55813i 0.165719 + 0.165719i 0.785095 0.619376i \(-0.212614\pi\)
−0.619376 + 0.785095i \(0.712614\pi\)
\(462\) 18.9130 + 13.1106i 0.879911 + 0.609961i
\(463\) −11.6246 11.6246i −0.540241 0.540241i 0.383359 0.923600i \(-0.374767\pi\)
−0.923600 + 0.383359i \(0.874767\pi\)
\(464\) −0.422825 + 0.732355i −0.0196292 + 0.0339987i
\(465\) 11.5397 + 19.9874i 0.535141 + 0.926891i
\(466\) 2.51080 9.37044i 0.116311 0.434077i
\(467\) 2.86541 4.96304i 0.132595 0.229662i −0.792081 0.610416i \(-0.791002\pi\)
0.924676 + 0.380754i \(0.124336\pi\)
\(468\) 3.28948 23.4423i 0.152056 1.08362i
\(469\) 3.25782 + 17.9801i 0.150432 + 0.830246i
\(470\) 17.7936 17.7936i 0.820757 0.820757i
\(471\) −24.2669 + 42.0315i −1.11816 + 1.93671i
\(472\) −4.99711 8.65525i −0.230011 0.398390i
\(473\) 0.935764 + 0.250737i 0.0430265 + 0.0115289i
\(474\) −14.4762 + 3.87890i −0.664915 + 0.178164i
\(475\) 24.7028 24.7028i 1.13344 1.13344i
\(476\) 0.875634 10.5827i 0.0401346 0.485055i
\(477\) −21.4788 −0.983445
\(478\) −30.4062 17.5550i −1.39075 0.802949i
\(479\) 19.5560 + 5.24001i 0.893536 + 0.239422i 0.676238 0.736683i \(-0.263609\pi\)
0.217298 + 0.976105i \(0.430276\pi\)
\(480\) 57.8797 33.4169i 2.64184 1.52527i
\(481\) 0.778716 0.0957839i 0.0355064 0.00436737i
\(482\) 5.20006i 0.236856i
\(483\) −13.7149 29.0536i −0.624052 1.32198i
\(484\) −13.1490 −0.597681
\(485\) 50.6861 + 29.2636i 2.30154 + 1.32879i
\(486\) −10.4267 + 38.9129i −0.472964 + 1.76513i
\(487\) 1.53006 + 0.409978i 0.0693336 + 0.0185779i 0.293319 0.956015i \(-0.405240\pi\)
−0.223986 + 0.974592i \(0.571907\pi\)
\(488\) −0.270585 1.00984i −0.0122488 0.0457132i
\(489\) 24.1942 24.1942i 1.09410 1.09410i
\(490\) 45.0564 + 7.50754i 2.03544 + 0.339156i
\(491\) 22.7308i 1.02583i −0.858440 0.512913i \(-0.828566\pi\)
0.858440 0.512913i \(-0.171434\pi\)
\(492\) −27.4266 + 7.34893i −1.23649 + 0.331316i
\(493\) −0.225654 0.390843i −0.0101629 0.0176027i
\(494\) −13.4220 33.2001i −0.603883 1.49374i
\(495\) −20.4730 11.8201i −0.920191 0.531273i
\(496\) 8.27577 + 8.27577i 0.371593 + 0.371593i
\(497\) −6.02001 2.15904i −0.270035 0.0968460i
\(498\) 3.60443i 0.161518i
\(499\) −1.52547 5.69314i −0.0682895 0.254860i 0.923339 0.383987i \(-0.125449\pi\)
−0.991628 + 0.129127i \(0.958783\pi\)
\(500\) 2.47583 9.23991i 0.110722 0.413221i
\(501\) −10.3513 + 38.6317i −0.462464 + 1.72594i
\(502\) −10.5741 39.4630i −0.471945 1.76132i
\(503\) 11.3499i 0.506069i 0.967457 + 0.253035i \(0.0814286\pi\)
−0.967457 + 0.253035i \(0.918571\pi\)
\(504\) −4.74989 5.60683i −0.211577 0.249748i
\(505\) −19.9055 19.9055i −0.885784 0.885784i
\(506\) −13.0470 7.53270i −0.580011 0.334870i
\(507\) 33.3955 8.34165i 1.48315 0.370466i
\(508\) 9.90302 + 17.1525i 0.439376 + 0.761021i
\(509\) 28.6462 7.67573i 1.26972 0.340221i 0.439797 0.898097i \(-0.355050\pi\)
0.829924 + 0.557876i \(0.188384\pi\)
\(510\) 42.3642i 1.87592i
\(511\) −5.75496 31.7621i −0.254585 1.40507i
\(512\) 19.4659 19.4659i 0.860279 0.860279i
\(513\) −3.60802 13.4653i −0.159298 0.594507i
\(514\) 17.7010 + 4.74296i 0.780756 + 0.209203i
\(515\) −6.63990 + 24.7804i −0.292589 + 1.09196i
\(516\) 2.11103 + 1.21880i 0.0929327 + 0.0536547i
\(517\) −6.64265 −0.292143
\(518\) −0.625513 + 0.902346i −0.0274835 + 0.0396468i
\(519\) 6.93773i 0.304532i
\(520\) 6.73307 + 5.25813i 0.295265 + 0.230584i
\(521\) 35.0486 20.2353i 1.53551 0.886524i 0.536412 0.843956i \(-0.319779\pi\)
0.999094 0.0425681i \(-0.0135540\pi\)
\(522\) 1.35993 + 0.364393i 0.0595227 + 0.0159490i
\(523\) −29.2572 16.8917i −1.27933 0.738621i −0.302604 0.953116i \(-0.597856\pi\)
−0.976725 + 0.214495i \(0.931189\pi\)
\(524\) −2.92108 −0.127608
\(525\) −46.8319 3.87498i −2.04391 0.169118i
\(526\) −10.6127 + 10.6127i −0.462734 + 0.462734i
\(527\) −6.03321 + 1.61659i −0.262811 + 0.0704199i
\(528\) −20.2406 5.42346i −0.880860 0.236026i
\(529\) −0.983639 1.70371i −0.0427669 0.0740744i
\(530\) −17.4720 + 30.2623i −0.758934 + 1.31451i
\(531\) −40.9336 + 40.9336i −1.77637 + 1.77637i
\(532\) 21.2309 + 7.61432i 0.920477 + 0.330122i
\(533\) −14.2193 18.8612i −0.615906 0.816971i
\(534\) 18.8243 32.6046i 0.814605 1.41094i
\(535\) −3.53277 + 13.1845i −0.152735 + 0.570015i
\(536\) −2.39125 4.14177i −0.103286 0.178897i
\(537\) −33.5721 + 58.1486i −1.44874 + 2.50930i
\(538\) −5.35850 5.35850i −0.231021 0.231021i
\(539\) −7.00881 9.81150i −0.301891 0.422611i
\(540\) −10.6009 10.6009i −0.456192 0.456192i
\(541\) 15.5379 4.16337i 0.668026 0.178997i 0.0911607 0.995836i \(-0.470942\pi\)
0.576866 + 0.816839i \(0.304276\pi\)
\(542\) −28.2348 + 16.3014i −1.21279 + 0.700205i
\(543\) −2.30145 + 1.32874i −0.0987645 + 0.0570217i
\(544\) 4.68136 + 17.4711i 0.200712 + 0.749066i
\(545\) −39.9503 −1.71128
\(546\) −22.4045 + 42.6421i −0.958822 + 1.82492i
\(547\) 4.19513 0.179371 0.0896853 0.995970i \(-0.471414\pi\)
0.0896853 + 0.995970i \(0.471414\pi\)
\(548\) 8.22654 + 30.7019i 0.351420 + 1.31152i
\(549\) −5.24426 + 3.02777i −0.223819 + 0.129222i
\(550\) −19.0832 + 11.0177i −0.813709 + 0.469795i
\(551\) 0.925940 0.248105i 0.0394464 0.0105696i
\(552\) 5.94589 + 5.94589i 0.253074 + 0.253074i
\(553\) 7.82576 + 0.647522i 0.332785 + 0.0275354i
\(554\) 33.8363 + 33.8363i 1.43757 + 1.43757i
\(555\) 0.985746 1.70736i 0.0418426 0.0724735i
\(556\) −11.1199 19.2602i −0.471588 0.816814i
\(557\) 8.80155 32.8478i 0.372934 1.39181i −0.483407 0.875396i \(-0.660601\pi\)
0.856340 0.516412i \(-0.172733\pi\)
\(558\) 9.74263 16.8747i 0.412438 0.714364i
\(559\) −0.281785 + 2.00813i −0.0119183 + 0.0849349i
\(560\) −40.9260 + 7.41538i −1.72944 + 0.313357i
\(561\) 7.90763 7.90763i 0.333860 0.333860i
\(562\) 2.90789 5.03661i 0.122662 0.212457i
\(563\) 14.8890 + 25.7886i 0.627498 + 1.08686i 0.988052 + 0.154120i \(0.0492542\pi\)
−0.360554 + 0.932738i \(0.617412\pi\)
\(564\) −16.1445 4.32591i −0.679807 0.182154i
\(565\) 27.6447 7.40738i 1.16302 0.311631i
\(566\) 15.3177 15.3177i 0.643849 0.643849i
\(567\) 7.45417 10.7532i 0.313046 0.451590i
\(568\) 1.67386 0.0702338
\(569\) −10.9152 6.30190i −0.457589 0.264189i 0.253441 0.967351i \(-0.418438\pi\)
−0.711030 + 0.703162i \(0.751771\pi\)
\(570\) −86.9179 23.2896i −3.64059 0.975494i
\(571\) 4.31551 2.49156i 0.180598 0.104269i −0.406975 0.913439i \(-0.633417\pi\)
0.587574 + 0.809171i \(0.300083\pi\)
\(572\) 1.24112 + 10.0902i 0.0518937 + 0.421892i
\(573\) 2.78122i 0.116187i
\(574\) 32.9422 + 2.72571i 1.37498 + 0.113769i
\(575\) 30.7634 1.28292
\(576\) −16.9486 9.78531i −0.706194 0.407721i
\(577\) 0.150997 0.563527i 0.00628607 0.0234599i −0.962712 0.270530i \(-0.912801\pi\)
0.968998 + 0.247070i \(0.0794678\pi\)
\(578\) 20.2410 + 5.42355i 0.841913 + 0.225590i
\(579\) −1.35493 5.05666i −0.0563089 0.210148i
\(580\) 0.728973 0.728973i 0.0302689 0.0302689i
\(581\) 0.637559 1.77770i 0.0264504 0.0737514i
\(582\) 86.3716i 3.58022i
\(583\) 8.91001 2.38743i 0.369015 0.0988773i
\(584\) 4.22417 + 7.31648i 0.174797 + 0.302758i
\(585\) 19.3247 45.5533i 0.798977 1.88340i
\(586\) 24.0184 + 13.8670i 0.992191 + 0.572842i
\(587\) 2.10756 + 2.10756i 0.0869883 + 0.0869883i 0.749262 0.662274i \(-0.230408\pi\)
−0.662274 + 0.749262i \(0.730408\pi\)
\(588\) −10.6449 28.4106i −0.438988 1.17163i
\(589\) 13.2670i 0.546656i
\(590\) 24.3755 + 90.9706i 1.00352 + 3.74520i
\(591\) −3.25731 + 12.1565i −0.133988 + 0.500050i
\(592\) 0.258756 0.965689i 0.0106348 0.0396896i
\(593\) 0.363170 + 1.35537i 0.0149136 + 0.0556584i 0.972982 0.230882i \(-0.0741613\pi\)
−0.958068 + 0.286541i \(0.907495\pi\)
\(594\) 8.79289i 0.360777i
\(595\) 7.49346 20.8939i 0.307202 0.856568i
\(596\) −4.25350 4.25350i −0.174230 0.174230i
\(597\) 23.4036 + 13.5121i 0.957846 + 0.553012i
\(598\) 12.3153 29.0302i 0.503608 1.18713i
\(599\) −23.1607 40.1154i −0.946319 1.63907i −0.753089 0.657919i \(-0.771437\pi\)
−0.193230 0.981153i \(-0.561896\pi\)
\(600\) 11.8800 3.18322i 0.484997 0.129955i
\(601\) 41.2270i 1.68169i −0.541279 0.840843i \(-0.682060\pi\)
0.541279 0.840843i \(-0.317940\pi\)
\(602\) −1.83427 2.16520i −0.0747594 0.0882469i
\(603\) −19.5878 + 19.5878i −0.797678 + 0.797678i
\(604\) 7.62757 + 28.4665i 0.310361 + 1.15828i
\(605\) −26.5494 7.11389i −1.07939 0.289221i
\(606\) −10.7522 + 40.1278i −0.436779 + 1.63008i
\(607\) −7.17511 4.14255i −0.291229 0.168141i 0.347267 0.937766i \(-0.387110\pi\)
−0.638496 + 0.769625i \(0.720443\pi\)
\(608\) −38.4187 −1.55808
\(609\) −1.05972 0.734608i −0.0429421 0.0297678i
\(610\) 9.85180i 0.398888i
\(611\) −1.69745 13.8002i −0.0686716 0.558295i
\(612\) 13.9412 8.04897i 0.563540 0.325360i
\(613\) −17.2066 4.61049i −0.694967 0.186216i −0.105992 0.994367i \(-0.533802\pi\)
−0.588975 + 0.808151i \(0.700468\pi\)
\(614\) −16.3916 9.46369i −0.661511 0.381923i
\(615\) −59.3536 −2.39337
\(616\) 2.59361 + 1.79791i 0.104499 + 0.0724398i
\(617\) −1.41807 + 1.41807i −0.0570895 + 0.0570895i −0.735075 0.677986i \(-0.762853\pi\)
0.677986 + 0.735075i \(0.262853\pi\)
\(618\) 36.5698 9.79884i 1.47105 0.394167i
\(619\) 9.84753 + 2.63864i 0.395806 + 0.106056i 0.451231 0.892407i \(-0.350985\pi\)
−0.0554256 + 0.998463i \(0.517652\pi\)
\(620\) −7.13392 12.3563i −0.286505 0.496242i
\(621\) 6.13785 10.6311i 0.246303 0.426610i
\(622\) 3.40781 3.40781i 0.136641 0.136641i
\(623\) −15.0513 + 12.7508i −0.603016 + 0.510852i
\(624\) 6.09504 43.4360i 0.243997 1.73883i
\(625\) −6.77177 + 11.7291i −0.270871 + 0.469162i
\(626\) 1.70190 6.35157i 0.0680215 0.253860i
\(627\) 11.8768 + 20.5712i 0.474313 + 0.821533i
\(628\) 15.0020 25.9841i 0.598643 1.03688i
\(629\) 0.377276 + 0.377276i 0.0150430 + 0.0150430i
\(630\) 29.5602 + 62.6199i 1.17771 + 2.49484i
\(631\) −4.32633 4.32633i −0.172228 0.172228i 0.615729 0.787958i \(-0.288861\pi\)
−0.787958 + 0.615729i \(0.788861\pi\)
\(632\) −1.98518 + 0.531928i −0.0789663 + 0.0211589i
\(633\) 37.0092 21.3673i 1.47098 0.849272i
\(634\) 52.2874 30.1881i 2.07660 1.19892i
\(635\) 10.7155 + 39.9908i 0.425232 + 1.58699i
\(636\) 23.2100 0.920336
\(637\) 18.5925 17.0681i 0.736661 0.676263i
\(638\) −0.604643 −0.0239380
\(639\) −2.50936 9.36504i −0.0992686 0.370475i
\(640\) 16.1451 9.32137i 0.638190 0.368459i
\(641\) −25.2944 + 14.6037i −0.999068 + 0.576812i −0.907972 0.419030i \(-0.862370\pi\)
−0.0910953 + 0.995842i \(0.529037\pi\)
\(642\) 19.4570 5.21349i 0.767907 0.205760i
\(643\) 14.6743 + 14.6743i 0.578699 + 0.578699i 0.934545 0.355846i \(-0.115807\pi\)
−0.355846 + 0.934545i \(0.615807\pi\)
\(644\) 8.47867 + 17.9611i 0.334107 + 0.707767i
\(645\) 3.60302 + 3.60302i 0.141869 + 0.141869i
\(646\) 12.1763 21.0900i 0.479070 0.829774i
\(647\) −4.85993 8.41764i −0.191064 0.330932i 0.754539 0.656255i \(-0.227860\pi\)
−0.945603 + 0.325323i \(0.894527\pi\)
\(648\) −0.886318 + 3.30779i −0.0348179 + 0.129942i
\(649\) 12.4305 21.5303i 0.487941 0.845139i
\(650\) −27.7658 36.8301i −1.08907 1.44459i
\(651\) −13.6164 + 11.5353i −0.533669 + 0.452104i
\(652\) −14.9570 + 14.9570i −0.585763 + 0.585763i
\(653\) −7.16248 + 12.4058i −0.280289 + 0.485475i −0.971456 0.237220i \(-0.923764\pi\)
0.691167 + 0.722695i \(0.257097\pi\)
\(654\) 29.4783 + 51.0580i 1.15269 + 1.99653i
\(655\) −5.89801 1.58037i −0.230454 0.0617501i
\(656\) −29.0730 + 7.79008i −1.13511 + 0.304151i
\(657\) 34.6021 34.6021i 1.34995 1.34995i
\(658\) 15.9911 + 11.0852i 0.623398 + 0.432145i
\(659\) −19.4182 −0.756424 −0.378212 0.925719i \(-0.623461\pi\)
−0.378212 + 0.925719i \(0.623461\pi\)
\(660\) 22.1231 + 12.7728i 0.861141 + 0.497180i
\(661\) −24.3914 6.53565i −0.948715 0.254207i −0.248898 0.968530i \(-0.580068\pi\)
−0.699817 + 0.714322i \(0.746735\pi\)
\(662\) −53.8588 + 31.0954i −2.09328 + 1.20856i
\(663\) 18.4489 + 14.4075i 0.716495 + 0.559540i
\(664\) 0.494289i 0.0191821i
\(665\) 38.7483 + 26.8606i 1.50259 + 1.04161i
\(666\) −1.66447 −0.0644970
\(667\) 0.731045 + 0.422069i 0.0283062 + 0.0163426i
\(668\) 6.39927 23.8824i 0.247595 0.924038i
\(669\) −0.339809 0.0910515i −0.0131378 0.00352025i
\(670\) 11.6643 + 43.5319i 0.450632 + 1.68178i
\(671\) 1.83892 1.83892i 0.0709908 0.0709908i
\(672\) 33.4041 + 39.4307i 1.28859 + 1.52107i
\(673\) 39.3180i 1.51560i 0.652488 + 0.757799i \(0.273725\pi\)
−0.652488 + 0.757799i \(0.726275\pi\)
\(674\) −15.7442 + 4.21864i −0.606443 + 0.162496i
\(675\) −8.97750 15.5495i −0.345544 0.598500i
\(676\) −20.6453 + 5.15687i −0.794051 + 0.198341i
\(677\) 12.1361 + 7.00677i 0.466428 + 0.269292i 0.714743 0.699387i \(-0.246544\pi\)
−0.248315 + 0.968679i \(0.579877\pi\)
\(678\) −29.8653 29.8653i −1.14697 1.14697i
\(679\) −15.2776 + 42.5984i −0.586300 + 1.63477i
\(680\) 5.80956i 0.222786i
\(681\) 18.1688 + 67.8068i 0.696229 + 2.59836i
\(682\) −2.16584 + 8.08304i −0.0829345 + 0.309516i
\(683\) −1.54598 + 5.76967i −0.0591552 + 0.220770i −0.989175 0.146738i \(-0.953122\pi\)
0.930020 + 0.367509i \(0.119789\pi\)
\(684\) 8.84980 + 33.0279i 0.338381 + 1.26285i
\(685\) 66.4415i 2.53860i
\(686\) 0.499281 + 35.3158i 0.0190626 + 1.34836i
\(687\) 32.9803 + 32.9803i 1.25828 + 1.25828i
\(688\) 2.23775 + 1.29196i 0.0853133 + 0.0492556i
\(689\) 7.23676 + 17.9006i 0.275699 + 0.681957i
\(690\) −39.6196 68.6231i −1.50829 2.61244i
\(691\) −24.0220 + 6.43667i −0.913839 + 0.244862i −0.684950 0.728590i \(-0.740176\pi\)
−0.228889 + 0.973453i \(0.573509\pi\)
\(692\) 4.28895i 0.163041i
\(693\) 6.17088 17.2062i 0.234412 0.653609i
\(694\) 3.68919 3.68919i 0.140040 0.140040i
\(695\) −12.0322 44.9048i −0.456407 1.70334i
\(696\) 0.325982 + 0.0873466i 0.0123563 + 0.00331087i
\(697\) 4.15741 15.5157i 0.157473 0.587698i
\(698\) −20.0301 11.5644i −0.758150 0.437718i
\(699\) −13.4691 −0.509448
\(700\) 28.9518 + 2.39554i 1.09427 + 0.0905428i
\(701\) 50.8136i 1.91920i −0.281364 0.959601i \(-0.590787\pi\)
0.281364 0.959601i \(-0.409213\pi\)
\(702\) −18.2673 + 2.24692i −0.689456 + 0.0848046i
\(703\) −0.981460 + 0.566646i −0.0370165 + 0.0213715i
\(704\) 8.11845 + 2.17533i 0.305976 + 0.0819859i
\(705\) −30.2574 17.4691i −1.13956 0.657924i
\(706\) 20.9243 0.787498
\(707\) 12.4009 17.8891i 0.466382 0.672788i
\(708\) 44.2329 44.2329i 1.66237 1.66237i
\(709\) −15.8032 + 4.23445i −0.593501 + 0.159028i −0.543053 0.839699i \(-0.682732\pi\)
−0.0504483 + 0.998727i \(0.516065\pi\)
\(710\) −15.2360 4.08248i −0.571798 0.153213i
\(711\) 5.95212 + 10.3094i 0.223222 + 0.386632i
\(712\) 2.58144 4.47119i 0.0967436 0.167565i
\(713\) 8.26096 8.26096i 0.309376 0.309376i
\(714\) −32.2325 + 5.84020i −1.20627 + 0.218564i
\(715\) −2.95305 + 21.0448i −0.110438 + 0.787031i
\(716\) 20.7545 35.9478i 0.775632 1.34343i
\(717\) −12.6168 + 47.0866i −0.471184 + 1.75848i
\(718\) 1.02106 + 1.76852i 0.0381055 + 0.0660007i
\(719\) 13.2682 22.9812i 0.494821 0.857055i −0.505161 0.863025i \(-0.668567\pi\)
0.999982 + 0.00597015i \(0.00190037\pi\)
\(720\) −44.5854 44.5854i −1.66160 1.66160i
\(721\) −19.7694 1.63576i −0.736250 0.0609190i
\(722\) 10.9546 + 10.9546i 0.407690 + 0.407690i
\(723\) −6.97387 + 1.86864i −0.259361 + 0.0694955i
\(724\) 1.42277 0.821436i 0.0528768 0.0305284i
\(725\) 1.06926 0.617337i 0.0397113 0.0229273i
\(726\) 10.4983 + 39.1803i 0.389629 + 1.45412i
\(727\) −30.2407 −1.12157 −0.560783 0.827963i \(-0.689500\pi\)
−0.560783 + 0.827963i \(0.689500\pi\)
\(728\) −3.07241 + 5.84768i −0.113871 + 0.216729i
\(729\) 41.0975 1.52213
\(730\) −20.6051 76.8994i −0.762630 2.84618i
\(731\) −1.19424 + 0.689495i −0.0441706 + 0.0255019i
\(732\) 5.66695 3.27181i 0.209456 0.120930i
\(733\) 12.8860 3.45279i 0.475955 0.127532i −0.0128637 0.999917i \(-0.504095\pi\)
0.488818 + 0.872386i \(0.337428\pi\)
\(734\) 10.4748 + 10.4748i 0.386631 + 0.386631i
\(735\) −6.12257 63.1236i −0.225834 2.32835i
\(736\) −23.9223 23.9223i −0.881786 0.881786i
\(737\) 5.94835 10.3028i 0.219110 0.379510i
\(738\) 25.0552 + 43.3969i 0.922295 + 1.59746i
\(739\) −2.27661 + 8.49643i −0.0837466 + 0.312546i −0.995074 0.0991361i \(-0.968392\pi\)
0.911327 + 0.411683i \(0.135059\pi\)
\(740\) −0.609395 + 1.05550i −0.0224018 + 0.0388011i
\(741\) −39.7019 + 29.9308i −1.45848 + 1.09954i
\(742\) −25.4335 9.12155i −0.933694 0.334863i
\(743\) −7.57023 + 7.57023i −0.277725 + 0.277725i −0.832200 0.554475i \(-0.812919\pi\)
0.554475 + 0.832200i \(0.312919\pi\)
\(744\) 2.33535 4.04495i 0.0856181 0.148295i
\(745\) −6.28710 10.8896i −0.230341 0.398963i
\(746\) 32.7566 + 8.77711i 1.19931 + 0.321353i
\(747\) 2.76548 0.741008i 0.101184 0.0271121i
\(748\) −4.88855 + 4.88855i −0.178743 + 0.178743i
\(749\) −10.5183 0.870311i −0.384332 0.0318005i
\(750\) −29.5091 −1.07752
\(751\) 31.9329 + 18.4365i 1.16525 + 0.672756i 0.952556 0.304363i \(-0.0984435\pi\)
0.212692 + 0.977119i \(0.431777\pi\)
\(752\) −17.1137 4.58559i −0.624071 0.167219i
\(753\) −49.1246 + 28.3621i −1.79020 + 1.03357i
\(754\) −0.154510 1.25615i −0.00562690 0.0457463i
\(755\) 61.6040i 2.24200i
\(756\) 6.60423 9.52706i 0.240194 0.346496i
\(757\) 4.46764 0.162379 0.0811896 0.996699i \(-0.474128\pi\)
0.0811896 + 0.996699i \(0.474128\pi\)
\(758\) −59.1486 34.1495i −2.14837 1.24036i
\(759\) −5.41376 + 20.2044i −0.196507 + 0.733374i
\(760\) −11.9194 3.19379i −0.432362 0.115851i
\(761\) −11.5822 43.2252i −0.419853 1.56691i −0.774912 0.632069i \(-0.782206\pi\)
0.355059 0.934844i \(-0.384461\pi\)
\(762\) 43.2030 43.2030i 1.56508 1.56508i
\(763\) −5.50743 30.3959i −0.199382 1.10041i
\(764\) 1.71937i 0.0622046i
\(765\) 32.5037 8.70933i 1.17517 0.314887i
\(766\) 19.8033 + 34.3003i 0.715522 + 1.23932i
\(767\) 47.9059 + 20.3227i 1.72978 + 0.733812i
\(768\) −46.2035 26.6756i −1.66723 0.962573i
\(769\) 19.6232 + 19.6232i 0.707631 + 0.707631i 0.966036 0.258406i \(-0.0831971\pi\)
−0.258406 + 0.966036i \(0.583197\pi\)
\(770\) −19.2228 22.6908i −0.692741 0.817721i
\(771\) 25.4434i 0.916321i
\(772\) 0.837625 + 3.12606i 0.0301468 + 0.112509i
\(773\) −2.70681 + 10.1019i −0.0973571 + 0.363342i −0.997366 0.0725293i \(-0.976893\pi\)
0.900009 + 0.435871i \(0.143560\pi\)