Properties

Label 91.2.bb.a.47.2
Level $91$
Weight $2$
Character 91.47
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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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 47.2
Character \(\chi\) \(=\) 91.47
Dual form 91.2.bb.a.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.84208 + 0.493585i) q^{2} +(2.29307 - 1.32391i) q^{3} +(1.41759 - 0.818448i) q^{4} +(-0.885596 - 3.30509i) q^{5} +(-3.57057 + 3.57057i) q^{6} +(-2.39257 + 1.12943i) q^{7} +(0.489646 - 0.489646i) q^{8} +(2.00545 - 3.47355i) q^{9} +O(q^{10})\) \(q+(-1.84208 + 0.493585i) q^{2} +(2.29307 - 1.32391i) q^{3} +(1.41759 - 0.818448i) q^{4} +(-0.885596 - 3.30509i) q^{5} +(-3.57057 + 3.57057i) q^{6} +(-2.39257 + 1.12943i) q^{7} +(0.489646 - 0.489646i) q^{8} +(2.00545 - 3.47355i) q^{9} +(3.26268 + 5.65113i) q^{10} +(1.66384 + 0.445825i) 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} +(-1.97972 + 7.38842i) q^{18} +(1.34794 + 5.03057i) q^{19} +(-3.96046 - 3.96046i) q^{20} +(-3.99108 + 5.75740i) q^{21} -3.28498 q^{22} +(-3.97172 - 2.29307i) q^{23} +(0.474548 - 1.77104i) q^{24} +(-5.80922 + 3.35395i) q^{25} +(-6.32999 + 2.68532i) q^{26} -2.67669i q^{27} +(-2.46731 + 3.55926i) q^{28} +0.184063 q^{29} +(14.9631 + 8.63897i) q^{30} +(2.46060 + 0.659317i) q^{31} +(1.90926 - 7.12546i) q^{32} +(4.40553 - 1.18046i) q^{33} +(-3.30641 - 3.30641i) q^{34} +(5.85172 + 6.90744i) q^{35} -6.56544i q^{36} +(0.0563202 + 0.210190i) q^{37} +(-4.96603 - 8.60141i) q^{38} +(7.52426 - 5.87600i) q^{39} +(-2.05195 - 1.18470i) q^{40} +(-4.63239 + 4.63239i) q^{41} +(4.51013 - 12.5755i) q^{42} +0.562412i q^{43} +(2.72353 - 0.729768i) q^{44} +(-13.2564 - 3.55205i) q^{45} +(8.44806 + 2.26365i) q^{46} +(3.72492 - 0.998090i) q^{47} +12.1650i q^{48} +(4.44878 - 5.40448i) q^{49} +(9.04560 - 9.04560i) q^{50} +(5.62243 + 3.24611i) q^{51} +(4.65155 - 3.63258i) q^{52} +(-2.67755 - 4.63764i) q^{53} +(1.32117 + 4.93069i) q^{54} -5.89396i q^{55} +(-0.618491 + 1.72453i) q^{56} +(9.75092 + 9.75092i) q^{57} +(-0.339059 + 0.0908505i) q^{58} +(-3.73550 + 13.9411i) q^{59} +(-14.3249 - 3.83834i) q^{60} +(-1.30750 - 0.754885i) q^{61} -4.85807 q^{62} +(-0.875060 + 10.5757i) q^{63} +4.87935i q^{64} +(-4.81803 - 11.3573i) q^{65} +(-7.53270 + 4.34901i) q^{66} +(1.78754 - 6.67118i) q^{67} +(3.47583 + 2.00677i) q^{68} -12.1432 q^{69} +(-14.1888 - 9.83576i) q^{70} +(1.70926 + 1.70926i) q^{71} +(-0.718846 - 2.68277i) q^{72} +(3.15770 - 11.7847i) 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} +(15.1848 + 4.06875i) q^{80} +(2.47267 + 4.28279i) q^{81} +(6.24677 - 10.8197i) q^{82} +(-0.504742 + 0.504742i) q^{83} +(-0.945590 + 11.4281i) q^{84} +(5.93241 - 5.93241i) q^{85} +(-0.277598 - 1.03601i) q^{86} +(0.422069 - 0.243682i) q^{87} +(1.03299 - 0.596396i) q^{88} +(-7.20177 + 1.92971i) q^{89} +26.1726 q^{90} +(-7.97696 + 5.23146i) q^{91} -7.50704 q^{92} +(6.51522 - 1.74575i) q^{93} +(-6.36898 + 3.67713i) q^{94} +(15.4328 - 8.91011i) q^{95} +(-5.05537 - 18.8669i) q^{96} +(12.0949 - 12.0949i) q^{97} +(-5.52745 + 12.1513i) 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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84208 + 0.493585i −1.30255 + 0.349017i −0.842414 0.538832i \(-0.818866\pi\)
−0.460136 + 0.887849i \(0.652199\pi\)
\(3\) 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
\(5\) −0.885596 3.30509i −0.396051 1.47808i −0.819983 0.572388i \(-0.806017\pi\)
0.423932 0.905694i \(-0.360649\pi\)
\(6\) −3.57057 + 3.57057i −1.45768 + 1.45768i
\(7\) −2.39257 + 1.12943i −0.904306 + 0.426884i
\(8\) 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
\(11\) 1.66384 + 0.445825i 0.501667 + 0.134421i 0.500773 0.865578i \(-0.333049\pi\)
0.000893225 1.00000i \(0.499716\pi\)
\(12\) 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 0.975526 0.219883i \(-0.0705675\pi\)
−0.678187 + 0.734889i \(0.737234\pi\)
\(18\) −1.97972 + 7.38842i −0.466625 + 1.74147i
\(19\) 1.34794 + 5.03057i 0.309238 + 1.15409i 0.929235 + 0.369488i \(0.120467\pi\)
−0.619997 + 0.784604i \(0.712866\pi\)
\(20\) −3.96046 3.96046i −0.885586 0.885586i
\(21\) −3.99108 + 5.75740i −0.870924 + 1.25637i
\(22\) −3.28498 −0.700361
\(23\) −3.97172 2.29307i −0.828160 0.478139i 0.0250620 0.999686i \(-0.492022\pi\)
−0.853222 + 0.521547i \(0.825355\pi\)
\(24\) 0.474548 1.77104i 0.0968668 0.361512i
\(25\) −5.80922 + 3.35395i −1.16184 + 0.670790i
\(26\) −6.32999 + 2.68532i −1.24141 + 0.526634i
\(27\) 2.67669i 0.515130i
\(28\) −2.46731 + 3.55926i −0.466278 + 0.672638i
\(29\) 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
\(31\) 2.46060 + 0.659317i 0.441938 + 0.118417i 0.472924 0.881103i \(-0.343198\pi\)
−0.0309869 + 0.999520i \(0.509865\pi\)
\(32\) 1.90926 7.12546i 0.337513 1.25962i
\(33\) 4.40553 1.18046i 0.766905 0.205492i
\(34\) −3.30641 3.30641i −0.567045 0.567045i
\(35\) 5.85172 + 6.90744i 0.989121 + 1.16757i
\(36\) 6.56544i 1.09424i
\(37\) 0.0563202 + 0.210190i 0.00925899 + 0.0345550i 0.970401 0.241500i \(-0.0776394\pi\)
−0.961142 + 0.276055i \(0.910973\pi\)
\(38\) −4.96603 8.60141i −0.805596 1.39533i
\(39\) 7.52426 5.87600i 1.20485 0.940912i
\(40\) −2.05195 1.18470i −0.324442 0.187317i
\(41\) −4.63239 + 4.63239i −0.723458 + 0.723458i −0.969308 0.245850i \(-0.920933\pi\)
0.245850 + 0.969308i \(0.420933\pi\)
\(42\) 4.51013 12.5755i 0.695928 1.94045i
\(43\) 0.562412i 0.0857671i 0.999080 + 0.0428835i \(0.0136544\pi\)
−0.999080 + 0.0428835i \(0.986346\pi\)
\(44\) 2.72353 0.729768i 0.410588 0.110017i
\(45\) −13.2564 3.55205i −1.97615 0.529508i
\(46\) 8.44806 + 2.26365i 1.24560 + 0.333757i
\(47\) 3.72492 0.998090i 0.543336 0.145586i 0.0232964 0.999729i \(-0.492584\pi\)
0.520040 + 0.854142i \(0.325917\pi\)
\(48\) 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
\(52\) 4.65155 3.63258i 0.645054 0.503748i
\(53\) −2.67755 4.63764i −0.367789 0.637029i 0.621430 0.783469i \(-0.286552\pi\)
−0.989220 + 0.146440i \(0.953219\pi\)
\(54\) 1.32117 + 4.93069i 0.179789 + 0.670982i
\(55\) 5.89396i 0.794742i
\(56\) −0.618491 + 1.72453i −0.0826494 + 0.230450i
\(57\) 9.75092 + 9.75092i 1.29154 + 1.29154i
\(58\) −0.339059 + 0.0908505i −0.0445206 + 0.0119293i
\(59\) −3.73550 + 13.9411i −0.486320 + 1.81497i 0.0877205 + 0.996145i \(0.472042\pi\)
−0.574041 + 0.818827i \(0.694625\pi\)
\(60\) −14.3249 3.83834i −1.84934 0.495528i
\(61\) −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
\(63\) −0.875060 + 10.5757i −0.110247 + 1.33242i
\(64\) 4.87935i 0.609918i
\(65\) −4.81803 11.3573i −0.597603 1.40871i
\(66\) −7.53270 + 4.34901i −0.927212 + 0.535326i
\(67\) 1.78754 6.67118i 0.218382 0.815014i −0.766566 0.642165i \(-0.778036\pi\)
0.984948 0.172848i \(-0.0552971\pi\)
\(68\) 3.47583 + 2.00677i 0.421506 + 0.243357i
\(69\) −12.1432 −1.46188
\(70\) −14.1888 9.83576i −1.69588 1.17560i
\(71\) 1.70926 + 1.70926i 0.202852 + 0.202852i 0.801221 0.598369i \(-0.204184\pi\)
−0.598369 + 0.801221i \(0.704184\pi\)
\(72\) −0.718846 2.68277i −0.0847168 0.316168i
\(73\) 3.15770 11.7847i 0.369581 1.37929i −0.491523 0.870864i \(-0.663560\pi\)
0.861104 0.508429i \(-0.169774\pi\)
\(74\) −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 \(0.220062\pi\)
\(80\) 15.1848 + 4.06875i 1.69771 + 0.454900i
\(81\) 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 \(-0.762473\pi\)
0.678863 + 0.734265i \(0.262473\pi\)
\(84\) −0.945590 + 11.4281i −0.103172 + 1.24691i
\(85\) 5.93241 5.93241i 0.643460 0.643460i
\(86\) −0.277598 1.03601i −0.0299342 0.111716i
\(87\) 0.422069 0.243682i 0.0452505 0.0261254i
\(88\) 1.03299 0.596396i 0.110117 0.0635760i
\(89\) −7.20177 + 1.92971i −0.763386 + 0.204549i −0.619447 0.785038i \(-0.712643\pi\)
−0.143938 + 0.989587i \(0.545977\pi\)
\(90\) 26.1726 2.75884
\(91\) −7.97696 + 5.23146i −0.836212 + 0.548406i
\(92\) −7.50704 −0.782663
\(93\) 6.51522 1.74575i 0.675597 0.181026i
\(94\) −6.36898 + 3.67713i −0.656910 + 0.379267i
\(95\) 15.4328 8.91011i 1.58337 0.914158i
\(96\) −5.05537 18.8669i −0.515961 1.92559i
\(97\) 12.0949 12.0949i 1.22805 1.22805i 0.263356 0.964699i \(-0.415171\pi\)
0.964699 0.263356i \(-0.0848293\pi\)
\(98\) −5.52745 + 12.1513i −0.558357 + 1.22747i
\(99\) 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 0.585498 0.810674i \(-0.300899\pi\)
−0.994813 + 0.101719i \(0.967566\pi\)
\(102\) −11.9592 3.20446i −1.18414 0.317289i
\(103\) −3.74883 + 6.49316i −0.369383 + 0.639790i −0.989469 0.144743i \(-0.953764\pi\)
0.620086 + 0.784534i \(0.287098\pi\)
\(104\) 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
\(109\) −3.02188 + 11.2778i −0.289443 + 1.08022i 0.656088 + 0.754685i \(0.272210\pi\)
−0.945531 + 0.325532i \(0.894456\pi\)
\(110\) 2.90917 + 10.8572i 0.277378 + 1.03519i
\(111\) 0.407418 + 0.407418i 0.0386704 + 0.0386704i
\(112\) 1.00235 12.1141i 0.0947134 1.14468i
\(113\) −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
\(115\) −4.06147 + 15.1576i −0.378734 + 1.41346i
\(116\) 0.260926 0.150646i 0.0242264 0.0139871i
\(117\) 5.42026 13.4073i 0.501103 1.23951i
\(118\) 27.5244i 2.53382i
\(119\) −5.33146 3.69581i −0.488734 0.338794i
\(120\) −6.27370 −0.572708
\(121\) −6.95668 4.01644i −0.632425 0.365131i
\(122\) 2.78112 + 0.745199i 0.251791 + 0.0674671i
\(123\) −4.48956 + 16.7553i −0.404810 + 1.51077i
\(124\) 4.02775 1.07923i 0.361703 0.0969180i
\(125\) 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 \(0.180382\pi\)
−0.843684 + 0.536840i \(0.819618\pi\)
\(128\) 1.41015 + 5.26276i 0.124641 + 0.465167i
\(129\) 0.744581 + 1.28965i 0.0655567 + 0.113548i
\(130\) 14.4810 + 18.5431i 1.27007 + 1.62633i
\(131\) 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
\(135\) −8.84671 + 2.37047i −0.761404 + 0.204018i
\(136\) 1.64001 + 0.439440i 0.140630 + 0.0376817i
\(137\) −18.7562 5.02570i −1.60245 0.429374i −0.656666 0.754181i \(-0.728034\pi\)
−0.945780 + 0.324807i \(0.894701\pi\)
\(138\) 22.3689 5.99372i 1.90416 0.510219i
\(139\) 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
\(143\) 6.16423 + 0.758214i 0.515479 + 0.0634050i
\(144\) 9.21379 + 15.9587i 0.767815 + 1.32990i
\(145\) −0.163005 0.608344i −0.0135368 0.0505202i
\(146\) 23.2670i 1.92559i
\(147\) 3.04635 18.2826i 0.251259 1.50793i
\(148\) 0.251869 + 0.251869i 0.0207035 + 0.0207035i
\(149\) −3.54964 + 0.951123i −0.290798 + 0.0779190i −0.401269 0.915960i \(-0.631431\pi\)
0.110471 + 0.993879i \(0.464764\pi\)
\(150\) 8.76669 32.7177i 0.715797 2.67139i
\(151\) −17.3905 4.65978i −1.41522 0.379207i −0.531435 0.847099i \(-0.678347\pi\)
−0.883786 + 0.467892i \(0.845014\pi\)
\(152\) 3.12321 + 1.80319i 0.253326 + 0.146258i
\(153\) 9.83443 0.795066
\(154\) 7.85955 3.71016i 0.633341 0.298973i
\(155\) 8.71641i 0.700119i
\(156\) 5.85714 14.4880i 0.468947 1.15997i
\(157\) −15.8740 + 9.16488i −1.26689 + 0.731437i −0.974398 0.224832i \(-0.927817\pi\)
−0.292489 + 0.956269i \(0.594483\pi\)
\(158\) 1.46494 5.46724i 0.116545 0.434951i
\(159\) −12.2796 7.08964i −0.973836 0.562245i
\(160\) −25.2411 −1.99549
\(161\) 12.0925 + 1.00056i 0.953021 + 0.0788551i
\(162\) −6.66879 6.66879i −0.523949 0.523949i
\(163\) −3.34454 12.4820i −0.261964 0.977665i −0.964082 0.265604i \(-0.914429\pi\)
0.702118 0.712061i \(-0.252238\pi\)
\(164\) −2.77547 + 10.3582i −0.216728 + 0.808840i
\(165\) −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 \(-0.0513221\pi\)
−0.160536 + 0.987030i \(0.551322\pi\)
\(168\) 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
\(171\) 20.1772 + 5.40645i 1.54299 + 0.413442i
\(172\) 0.460305 + 0.797272i 0.0350979 + 0.0607914i
\(173\) −1.31009 + 2.26914i −0.0996041 + 0.172519i −0.911521 0.411254i \(-0.865091\pi\)
0.811917 + 0.583773i \(0.198424\pi\)
\(174\) −0.657209 + 0.657209i −0.0498229 + 0.0498229i
\(175\) 10.1109 14.5857i 0.764312 1.10257i
\(176\) −5.59601 + 5.59601i −0.421815 + 0.421815i
\(177\) 9.89089 + 36.9133i 0.743445 + 2.77457i
\(178\) 12.3138 7.10936i 0.922957 0.532869i
\(179\) 21.9610 12.6792i 1.64144 0.947687i 0.661119 0.750281i \(-0.270082\pi\)
0.980322 0.197406i \(-0.0632517\pi\)
\(180\) −21.6994 + 5.81433i −1.61737 + 0.433374i
\(181\) 1.00365 0.0746008 0.0373004 0.999304i \(-0.488124\pi\)
0.0373004 + 0.999304i \(0.488124\pi\)
\(182\) 12.1121 13.5741i 0.897805 1.00618i
\(183\) −3.99758 −0.295510
\(184\) −3.06753 + 0.821942i −0.226141 + 0.0605944i
\(185\) 0.644820 0.372287i 0.0474081 0.0273711i
\(186\) −11.1399 + 6.43162i −0.816817 + 0.471589i
\(187\) 1.09313 + 4.07960i 0.0799373 + 0.298330i
\(188\) 4.46354 4.46354i 0.325537 0.325537i
\(189\) 3.02314 + 6.40417i 0.219901 + 0.465835i
\(190\) −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
\(193\) −1.90975 0.511716i −0.137467 0.0368341i 0.189430 0.981894i \(-0.439336\pi\)
−0.326896 + 0.945060i \(0.606003\pi\)
\(194\) −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 0.577168 0.816625i \(-0.304158\pi\)
−0.816625 + 0.577168i \(0.804158\pi\)
\(198\) −6.58788 + 11.4105i −0.468180 + 0.810912i
\(199\) −5.10311 8.83885i −0.361750 0.626569i 0.626499 0.779422i \(-0.284487\pi\)
−0.988249 + 0.152853i \(0.951154\pi\)
\(200\) −1.20221 + 4.48671i −0.0850091 + 0.317258i
\(201\) −4.73306 17.6640i −0.333844 1.24592i
\(202\) 11.0943 + 11.0943i 0.780591 + 0.780591i
\(203\) −0.440383 + 0.207886i −0.0309088 + 0.0145907i
\(204\) 10.6271 0.744045
\(205\) 19.4129 + 11.2080i 1.35586 + 0.782803i
\(206\) 3.70073 13.8113i 0.257842 0.962280i
\(207\) −15.9302 + 9.19730i −1.10722 + 0.639257i
\(208\) −6.20873 + 15.3577i −0.430498 + 1.06486i
\(209\) 8.97101i 0.620538i
\(210\) −45.5575 3.76953i −3.14376 0.260122i
\(211\) 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
\(213\) 6.18236 + 1.65656i 0.423608 + 0.113505i
\(214\) −1.96898 + 7.34833i −0.134597 + 0.502322i
\(215\) 1.85882 0.498070i 0.126771 0.0339681i
\(216\) −1.31063 1.31063i −0.0891772 0.0891772i
\(217\) −6.63182 + 1.20162i −0.450197 + 0.0815711i
\(218\) 22.2662i 1.50806i
\(219\) −8.36099 31.2036i −0.564983 2.10855i
\(220\) −4.82390 8.35524i −0.325227 0.563310i
\(221\) 5.44128 + 6.96760i 0.366020 + 0.468691i
\(222\) −0.951593 0.549403i −0.0638668 0.0368735i
\(223\) 0.0939482 0.0939482i 0.00629124 0.00629124i −0.703954 0.710245i \(-0.748584\pi\)
0.710245 + 0.703954i \(0.248584\pi\)
\(224\) 3.47967 + 19.2045i 0.232495 + 1.28316i
\(225\) 26.9048i 1.79365i
\(226\) 15.4077 4.12848i 1.02491 0.274623i
\(227\) −25.6086 6.86181i −1.69970 0.455434i −0.726839 0.686808i \(-0.759011\pi\)
−0.972865 + 0.231374i \(0.925678\pi\)
\(228\) 21.8035 + 5.84222i 1.44397 + 0.386910i
\(229\) 17.0148 4.55909i 1.12437 0.301273i 0.351718 0.936106i \(-0.385598\pi\)
0.772650 + 0.634833i \(0.218931\pi\)
\(230\) 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 0.637313 0.770605i \(-0.280046\pi\)
−0.348708 + 0.937232i \(0.613379\pi\)
\(234\) −3.36691 + 27.3728i −0.220102 + 1.78942i
\(235\) −6.59756 11.4273i −0.430377 0.745435i
\(236\) 6.11462 + 22.8201i 0.398028 + 1.48546i
\(237\) 7.85862i 0.510472i
\(238\) 11.6452 + 4.17646i 0.754845 + 0.270720i
\(239\) −13.0182 13.0182i −0.842079 0.842079i 0.147050 0.989129i \(-0.453022\pi\)
−0.989129 + 0.147050i \(0.953022\pi\)
\(240\) 40.2065 10.7733i 2.59532 0.695413i
\(241\) −0.705731 + 2.63382i −0.0454601 + 0.169659i −0.984924 0.172989i \(-0.944657\pi\)
0.939464 + 0.342649i \(0.111324\pi\)
\(242\) 14.7972 + 3.96490i 0.951202 + 0.254874i
\(243\) 18.2943 + 10.5622i 1.17358 + 0.677566i
\(244\) −2.47133 −0.158211
\(245\) −21.8021 9.91743i −1.39289 0.633601i
\(246\) 33.0805i 2.10914i
\(247\) 7.33337 + 17.2867i 0.466611 + 1.09992i
\(248\) 1.52766 0.881993i 0.0970063 0.0560066i
\(249\) −0.489179 + 1.82564i −0.0310004 + 0.115695i
\(250\) −9.65160 5.57235i −0.610421 0.352426i
\(251\) 21.4230 1.35221 0.676105 0.736805i \(-0.263666\pi\)
0.676105 + 0.736805i \(0.263666\pi\)
\(252\) 7.41520 + 15.7083i 0.467114 + 0.989528i
\(253\) −5.58599 5.58599i −0.351188 0.351188i
\(254\) −5.97226 22.2888i −0.374733 1.39852i
\(255\) 5.74949 21.4574i 0.360047 1.34371i
\(256\) −10.0746 17.4497i −0.629662 1.09061i
\(257\) −4.80460 + 8.32182i −0.299703 + 0.519101i −0.976068 0.217466i \(-0.930221\pi\)
0.676365 + 0.736567i \(0.263554\pi\)
\(258\) −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
\(262\) −3.28724 0.880814i −0.203086 0.0544168i
\(263\) 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
\(266\) 21.5962 + 14.9707i 1.32415 + 0.917912i
\(267\) −13.9594 + 13.9594i −0.854303 + 0.854303i
\(268\) −2.92601 10.9200i −0.178734 0.667046i
\(269\) −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
\(271\) 16.5133 4.42472i 1.00311 0.268782i 0.280362 0.959894i \(-0.409546\pi\)
0.722748 + 0.691112i \(0.242879\pi\)
\(272\) −11.2650 −0.683042
\(273\) −11.3658 + 22.5569i −0.687889 + 1.36520i
\(274\) 37.0310 2.23712
\(275\) −11.1609 + 2.99055i −0.673026 + 0.180337i
\(276\) −17.2142 + 9.93861i −1.03617 + 0.598234i
\(277\) −21.7301 + 12.5459i −1.30564 + 0.753811i −0.981365 0.192153i \(-0.938453\pi\)
−0.324273 + 0.945963i \(0.605120\pi\)
\(278\) −6.70611 25.0276i −0.402206 1.50105i
\(279\) 7.22480 7.22480i 0.432537 0.432537i
\(280\) 6.24747 + 0.516930i 0.373358 + 0.0308925i
\(281\) −2.15639 + 2.15639i −0.128639 + 0.128639i −0.768495 0.639856i \(-0.778994\pi\)
0.639856 + 0.768495i \(0.278994\pi\)
\(282\) −9.73635 + 16.8639i −0.579791 + 1.00423i
\(283\) 5.67952 + 9.83723i 0.337613 + 0.584762i 0.983983 0.178261i \(-0.0570473\pi\)
−0.646370 + 0.763024i \(0.723714\pi\)
\(284\) 3.82198 + 1.02410i 0.226793 + 0.0607689i
\(285\) 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
\(291\) 11.7220 43.7471i 0.687156 2.56450i
\(292\) −5.16882 19.2903i −0.302482 1.12888i
\(293\) −10.2833 10.2833i −0.600758 0.600758i 0.339756 0.940514i \(-0.389656\pi\)
−0.940514 + 0.339756i \(0.889656\pi\)
\(294\) 3.41240 + 35.1817i 0.199015 + 2.05184i
\(295\) 49.3846 2.87528
\(296\) 0.130496 + 0.0753417i 0.00758490 + 0.00437915i
\(297\) 1.19334 4.45359i 0.0692443 0.258423i
\(298\) 6.06927 3.50410i 0.351583 0.202987i
\(299\) −15.3302 6.19763i −0.886568 0.358418i
\(300\) 29.0733i 1.67855i
\(301\) −0.635205 1.34561i −0.0366126 0.0775597i
\(302\) 34.3348 1.97575
\(303\) −18.8654 10.8920i −1.08379 0.625727i
\(304\) −23.1123 6.19292i −1.32558 0.355188i
\(305\) −1.33705 + 4.98992i −0.0765590 + 0.285722i
\(306\) −18.1158 + 4.85412i −1.03561 + 0.277492i
\(307\) 7.01794 + 7.01794i 0.400535 + 0.400535i 0.878422 0.477886i \(-0.158597\pi\)
−0.477886 + 0.878422i \(0.658597\pi\)
\(308\) −5.69202 + 4.82206i −0.324333 + 0.274762i
\(309\) 19.8524i 1.12936i
\(310\) 4.30229 + 16.0563i 0.244353 + 0.911939i
\(311\) 1.26356 + 2.18855i 0.0716498 + 0.124101i 0.899625 0.436664i \(-0.143840\pi\)
−0.827975 + 0.560766i \(0.810507\pi\)
\(312\) 0.807065 6.56138i 0.0456910 0.371465i
\(313\) −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
\(317\) 30.5805 8.19402i 1.71757 0.460222i 0.740312 0.672264i \(-0.234678\pi\)
0.977261 + 0.212041i \(0.0680112\pi\)
\(318\) 26.1194 + 6.99867i 1.46470 + 0.392466i
\(319\) 0.306251 + 0.0820597i 0.0171468 + 0.00459446i
\(320\) 16.1267 4.32113i 0.901509 0.241559i
\(321\) 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
\(325\) −19.0618 + 14.8861i −1.05736 + 0.825733i
\(326\) 12.3218 + 21.3420i 0.682443 + 1.18203i
\(327\) 8.00136 + 29.8615i 0.442476 + 1.65134i
\(328\) 4.53646i 0.250484i
\(329\) −7.78487 + 6.59504i −0.429194 + 0.363596i
\(330\) 21.0448 + 21.0448i 1.15848 + 1.15848i
\(331\) −31.4996 + 8.44029i −1.73137 + 0.463920i −0.980499 0.196525i \(-0.937034\pi\)
−0.750874 + 0.660445i \(0.770368\pi\)
\(332\) −0.302414 + 1.12862i −0.0165971 + 0.0619412i
\(333\) 0.843053 + 0.225895i 0.0461990 + 0.0123790i
\(334\) −24.9465 14.4029i −1.36501 0.788089i
\(335\) −23.6319 −1.29115
\(336\) −13.7395 29.1056i −0.749553 1.58784i
\(337\) 8.54695i 0.465582i −0.972527 0.232791i \(-0.925214\pi\)
0.972527 0.232791i \(-0.0747858\pi\)
\(338\) −21.2562 + 12.7596i −1.15619 + 0.694032i
\(339\) −19.1799 + 11.0735i −1.04171 + 0.601432i
\(340\) 3.55437 13.2651i 0.192763 0.719401i
\(341\) 3.80011 + 2.19400i 0.205788 + 0.118812i
\(342\) −39.8365 −2.15411
\(343\) −4.54003 + 17.9552i −0.245139 + 0.969488i
\(344\) 0.275383 + 0.275383i 0.0148476 + 0.0148476i
\(345\) 10.7540 + 40.1345i 0.578977 + 2.16077i
\(346\) 1.29328 4.82658i 0.0695270 0.259478i
\(347\) −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 \(-0.144771\pi\)
−0.439294 + 0.898343i \(0.644771\pi\)
\(350\) −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
\(353\) 10.5982 + 2.83977i 0.564083 + 0.151146i 0.529581 0.848259i \(-0.322349\pi\)
0.0345014 + 0.999405i \(0.489016\pi\)
\(354\) −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
\(357\) −17.1183 1.41641i −0.905997 0.0749643i
\(358\) −34.1957 + 34.1957i −1.80730 + 1.80730i
\(359\) −0.277147 1.03433i −0.0146273 0.0545897i 0.958226 0.286011i \(-0.0923292\pi\)
−0.972854 + 0.231421i \(0.925663\pi\)
\(360\) −8.23019 + 4.75170i −0.433769 + 0.250437i
\(361\) −7.03523 + 4.06179i −0.370275 + 0.213779i
\(362\) −1.84881 + 0.495387i −0.0971712 + 0.0260370i
\(363\) −21.2695 −1.11636
\(364\) −7.02641 + 13.9448i −0.368284 + 0.730906i
\(365\) −41.7459 −2.18508
\(366\) 7.36388 1.97315i 0.384916 0.103138i
\(367\) 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
\(369\) 6.80078 + 25.3809i 0.354035 + 1.32128i
\(370\) −1.00406 + 1.00406i −0.0521984 + 0.0521984i
\(371\) 11.6441 + 8.07179i 0.604532 + 0.419066i
\(372\) 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
\(375\) 14.9463 + 4.00485i 0.771824 + 0.206810i
\(376\) 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 −0.927846 0.372964i \(-0.878341\pi\)
−0.372964 0.927846i \(-0.621659\pi\)
\(380\) 14.5849 25.2618i 0.748191 1.29590i
\(381\) 16.0189 + 27.7456i 0.820675 + 1.42145i
\(382\) −0.518453 + 1.93489i −0.0265264 + 0.0989978i
\(383\) 5.37524 + 20.0607i 0.274662 + 1.02505i 0.956068 + 0.293147i \(0.0947024\pi\)
−0.681405 + 0.731906i \(0.738631\pi\)
\(384\) 10.2010 + 10.2010i 0.520567 + 0.520567i
\(385\) 6.65682 + 14.1017i 0.339263 + 0.718690i
\(386\) 3.77049 0.191913
\(387\) 1.95357 + 1.12789i 0.0993053 + 0.0573340i
\(388\) 7.24662 27.0448i 0.367892 1.37299i
\(389\) 6.90083 3.98420i 0.349886 0.202007i −0.314749 0.949175i \(-0.601920\pi\)
0.664635 + 0.747168i \(0.268587\pi\)
\(390\) 57.7553 + 23.3491i 2.92455 + 1.18233i
\(391\) 11.2449i 0.568677i
\(392\) −0.467955 4.82461i −0.0236353 0.243679i
\(393\) 4.72508 0.238349
\(394\) 7.85005 + 4.53223i 0.395480 + 0.228330i
\(395\) 9.80941 + 2.62842i 0.493565 + 0.132250i
\(396\) 2.92703 10.9238i 0.147089 0.548943i
\(397\) 29.6791 7.95249i 1.48955 0.399124i 0.579966 0.814641i \(-0.303066\pi\)
0.909586 + 0.415516i \(0.136399\pi\)
\(398\) 13.7631 + 13.7631i 0.689880 + 0.689880i
\(399\) −34.3427 12.3168i −1.71929 0.616610i
\(400\) 30.8186i 1.54093i
\(401\) 5.83228 + 21.7664i 0.291250 + 1.08696i 0.944150 + 0.329516i \(0.106885\pi\)
−0.652900 + 0.757444i \(0.726448\pi\)
\(402\) 17.4374 + 30.2024i 0.869697 + 1.50636i
\(403\) 9.11610 + 1.12130i 0.454105 + 0.0558560i
\(404\) −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
\(408\) 4.34245 1.16356i 0.214983 0.0576046i
\(409\) 38.1167 + 10.2133i 1.88475 + 0.505016i 0.999179 + 0.0405065i \(0.0128972\pi\)
0.885568 + 0.464510i \(0.153770\pi\)
\(410\) −41.2923 11.0642i −2.03928 0.546423i
\(411\) −49.6628 + 13.3071i −2.44968 + 0.656391i
\(412\) 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
\(416\) 3.24708 26.3986i 0.159201 1.29430i
\(417\) 17.9873 + 31.1549i 0.880843 + 1.52566i
\(418\) −4.42795 16.5253i −0.216578 0.808281i
\(419\) 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 0.164013 0.986458i \(-0.447556\pi\)
−0.986458 + 0.164013i \(0.947556\pi\)
\(422\) −29.7304 + 7.96624i −1.44725 + 0.387790i
\(423\) 4.00325 14.9403i 0.194645 0.726424i
\(424\) −3.58185 0.959754i −0.173950 0.0466098i
\(425\) −14.2437 8.22363i −0.690923 0.398904i
\(426\) −12.2061 −0.591386
\(427\) 3.98087 + 0.329386i 0.192648 + 0.0159401i
\(428\) 6.52981i 0.315630i
\(429\) 15.1388 6.42222i 0.730909 0.310068i
\(430\) −3.17827 + 1.83497i −0.153270 + 0.0884903i
\(431\) −9.20095 + 34.3384i −0.443194 + 1.65402i 0.277467 + 0.960735i \(0.410505\pi\)
−0.720661 + 0.693288i \(0.756161\pi\)
\(432\) 10.6501 + 6.14885i 0.512404 + 0.295837i
\(433\) −6.53945 −0.314266 −0.157133 0.987577i \(-0.550225\pi\)
−0.157133 + 0.987577i \(0.550225\pi\)
\(434\) 11.6233 5.48684i 0.557934 0.263377i
\(435\) −1.17917 1.17917i −0.0565370 0.0565370i
\(436\) 4.94650 + 18.4606i 0.236894 + 0.884101i
\(437\) 6.18184 23.0709i 0.295717 1.10363i
\(438\) 30.8033 + 53.3528i 1.47184 + 2.54930i
\(439\) 12.2931 21.2923i 0.586719 1.01623i −0.407940 0.913009i \(-0.633753\pi\)
0.994659 0.103218i \(-0.0329140\pi\)
\(440\) −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 \(0.0458303\pi\)
\(444\) 0.911004 + 0.244103i 0.0432343 + 0.0115846i
\(445\) 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
\(448\) −5.51088 11.6742i −0.260365 0.551553i
\(449\) 28.6271 28.6271i 1.35100 1.35100i 0.466445 0.884550i \(-0.345535\pi\)
0.884550 0.466445i \(-0.154465\pi\)
\(450\) −13.2798 49.5608i −0.626015 2.33632i
\(451\) −9.77279 + 5.64232i −0.460183 + 0.265686i
\(452\) −11.8572 + 6.84573i −0.557714 + 0.321996i
\(453\) −46.0468 + 12.3382i −2.16347 + 0.579700i
\(454\) 50.5601 2.37290
\(455\) 24.3548 + 21.7316i 1.14177 + 1.01879i
\(456\) 9.54900 0.447173
\(457\) 12.6236 3.38248i 0.590507 0.158226i 0.0488218 0.998808i \(-0.484453\pi\)
0.541685 + 0.840582i \(0.317787\pi\)
\(458\) −29.0923 + 16.7965i −1.35939 + 0.784847i
\(459\) 5.68376 3.28152i 0.265295 0.153168i
\(460\) 6.64821 + 24.8114i 0.309974 + 1.15684i
\(461\) −3.55813 + 3.55813i −0.165719 + 0.165719i −0.785095 0.619376i \(-0.787386\pi\)
0.619376 + 0.785095i \(0.287386\pi\)
\(462\) 13.1106 18.9130i 0.609961 0.879911i
\(463\) −11.6246 + 11.6246i −0.540241 + 0.540241i −0.923600 0.383359i \(-0.874767\pi\)
0.383359 + 0.923600i \(0.374767\pi\)
\(464\) −0.422825 + 0.732355i −0.0196292 + 0.0339987i
\(465\) −11.5397 19.9874i −0.535141 0.926891i
\(466\) −9.37044 2.51080i −0.434077 0.116311i
\(467\) −2.86541 + 4.96304i −0.132595 + 0.229662i −0.924676 0.380754i \(-0.875664\pi\)
0.792081 + 0.610416i \(0.208998\pi\)
\(468\) −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
\(473\) −0.250737 + 0.935764i −0.0115289 + 0.0430265i
\(474\) −3.87890 14.4762i −0.178164 0.664915i
\(475\) −24.7028 24.7028i −1.13344 1.13344i
\(476\) −10.5827 0.875634i −0.485055 0.0401346i
\(477\) −21.4788 −0.983445
\(478\) 30.4062 + 17.5550i 1.39075 + 0.802949i
\(479\) 5.24001 19.5560i 0.239422 0.893536i −0.736683 0.676238i \(-0.763609\pi\)
0.976105 0.217298i \(-0.0697242\pi\)
\(480\) −57.8797 + 33.4169i −2.64184 + 1.52527i
\(481\) 0.306407 + 0.722280i 0.0139709 + 0.0329331i
\(482\) 5.20006i 0.236856i
\(483\) 29.0536 13.7149i 1.32198 0.624052i
\(484\) −13.1490 −0.597681
\(485\) −50.6861 29.2636i −2.30154 1.32879i
\(486\) −38.9129 10.4267i −1.76513 0.472964i
\(487\) −0.409978 + 1.53006i −0.0185779 + 0.0693336i −0.974592 0.223986i \(-0.928093\pi\)
0.956015 + 0.293319i \(0.0947598\pi\)
\(488\) −1.00984 + 0.270585i −0.0457132 + 0.0122488i
\(489\) −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 \(0.171434\pi\)
−0.858440 + 0.512913i \(0.828566\pi\)
\(492\) 7.34893 + 27.4266i 0.331316 + 1.23649i
\(493\) 0.225654 + 0.390843i 0.0101629 + 0.0176027i
\(494\) −22.0411 28.2238i −0.991676 1.26985i
\(495\) −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
\(499\) 5.69314 1.52547i 0.254860 0.0682895i −0.129127 0.991628i \(-0.541217\pi\)
0.383987 + 0.923339i \(0.374551\pi\)
\(500\) 9.23991 + 2.47583i 0.413221 + 0.110722i
\(501\) 38.6317 + 10.3513i 1.72594 + 0.462464i
\(502\) −39.4630 + 10.5741i −1.76132 + 0.471945i
\(503\) 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
\(507\) 23.9218 24.7505i 1.06241 1.09921i
\(508\) 9.90302 + 17.1525i 0.439376 + 0.761021i
\(509\) 7.67573 + 28.6462i 0.340221 + 1.26972i 0.898097 + 0.439797i \(0.144950\pi\)
−0.557876 + 0.829924i \(0.688384\pi\)
\(510\) 42.3642i 1.87592i
\(511\) 5.75496 + 31.7621i 0.254585 + 1.40507i
\(512\) 19.4659 + 19.4659i 0.860279 + 0.860279i
\(513\) 13.4653 3.60802i 0.594507 0.159298i
\(514\) 4.74296 17.7010i 0.209203 0.780756i
\(515\) 24.7804 + 6.63990i 1.09196 + 0.292589i
\(516\) 2.11103 + 1.21880i 0.0929327 + 0.0536547i
\(517\) 6.64265 0.292143
\(518\) 0.902346 + 0.625513i 0.0396468 + 0.0274835i
\(519\) 6.93773i 0.304532i
\(520\) −7.92021 3.20195i −0.347324 0.140415i
\(521\) 35.0486 20.2353i 1.53551 0.886524i 0.536412 0.843956i \(-0.319779\pi\)
0.999094 0.0425681i \(-0.0135540\pi\)
\(522\) −0.364393 + 1.35993i −0.0159490 + 0.0595227i
\(523\) −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
\(525\) 3.87498 46.8319i 0.169118 2.04391i
\(526\) −10.6127 10.6127i −0.462734 0.462734i
\(527\) 1.61659 + 6.03321i 0.0704199 + 0.262811i
\(528\) −5.42346 + 20.2406i −0.236026 + 0.880860i
\(529\) −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
\(535\) −13.1845 3.53277i −0.570015 0.152735i
\(536\) −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
\(539\) 9.81150 7.00881i 0.422611 0.301891i
\(540\) −10.6009 + 10.6009i −0.456192 + 0.456192i
\(541\) −4.16337 15.5379i −0.178997 0.668026i −0.995836 0.0911607i \(-0.970942\pi\)
0.816839 0.576866i \(-0.195724\pi\)
\(542\) −28.2348 + 16.3014i −1.21279 + 0.700205i
\(543\) 2.30145 1.32874i 0.0987645 0.0570217i
\(544\) 17.4711 4.68136i 0.749066 0.200712i
\(545\) 39.9503 1.71128
\(546\) 9.80301 47.1616i 0.419530 2.01833i
\(547\) 4.19513 0.179371 0.0896853 0.995970i \(-0.471414\pi\)
0.0896853 + 0.995970i \(0.471414\pi\)
\(548\) −30.7019 + 8.22654i −1.31152 + 0.351420i
\(549\) −5.24426 + 3.02777i −0.223819 + 0.129222i
\(550\) 19.0832 11.0177i 0.813709 0.469795i
\(551\) 0.248105 + 0.925940i 0.0105696 + 0.0394464i
\(552\) −5.94589 + 5.94589i −0.253074 + 0.253074i
\(553\) 0.647522 7.82576i 0.0275354 0.332785i
\(554\) 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
\(557\) −32.8478 8.80155i −1.39181 0.372934i −0.516412 0.856340i \(-0.672733\pi\)
−0.875396 + 0.483407i \(0.839399\pi\)
\(558\) −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 \(-0.950746\pi\)
0.360554 0.932738i \(-0.382588\pi\)
\(564\) 4.32591 16.1445i 0.182154 0.679807i
\(565\) 7.40738 + 27.6447i 0.311631 + 1.16302i
\(566\) −15.3177 15.3177i −0.643849 0.643849i
\(567\) −10.7532 7.45417i −0.451590 0.313046i
\(568\) 1.67386 0.0702338
\(569\) 10.9152 + 6.30190i 0.457589 + 0.264189i 0.711030 0.703162i \(-0.248229\pi\)
−0.253441 + 0.967351i \(0.581562\pi\)
\(570\) −23.2896 + 86.9179i −0.975494 + 3.64059i
\(571\) −4.31551 + 2.49156i −0.180598 + 0.104269i −0.587574 0.809171i \(-0.699917\pi\)
0.406975 + 0.913439i \(0.366583\pi\)
\(572\) 9.35892 3.97026i 0.391316 0.166005i
\(573\) 2.78122i 0.116187i
\(574\) −2.72571 + 32.9422i −0.113769 + 1.37498i
\(575\) 30.7634 1.28292
\(576\) 16.9486 + 9.78531i 0.706194 + 0.407721i
\(577\) 0.563527 + 0.150997i 0.0234599 + 0.00628607i 0.270530 0.962712i \(-0.412801\pi\)
−0.247070 + 0.968998i \(0.579468\pi\)
\(578\) −5.42355 + 20.2410i −0.225590 + 0.841913i
\(579\) −5.05666 + 1.35493i −0.210148 + 0.0563089i
\(580\) −0.728973 0.728973i −0.0302689 0.0302689i
\(581\) 0.637559 1.77770i 0.0264504 0.0737514i
\(582\) 86.3716i 3.58022i
\(583\) −2.38743 8.91001i −0.0988773 0.369015i
\(584\) −4.22417 7.31648i −0.174797 0.302758i
\(585\) −49.1126 6.04096i −2.03056 0.249763i
\(586\) 24.0184 + 13.8670i 0.992191 + 0.572842i
\(587\) −2.10756 + 2.10756i −0.0869883 + 0.0869883i −0.749262 0.662274i \(-0.769592\pi\)
0.662274 + 0.749262i \(0.269592\pi\)
\(588\) −10.6449 28.4106i −0.438988 1.17163i
\(589\) 13.2670i 0.546656i
\(590\) −90.9706 + 24.3755i −3.74520 + 1.00352i
\(591\) −12.1565 3.25731i −0.500050 0.133988i
\(592\) −0.965689 0.258756i −0.0396896 0.0106348i
\(593\) 1.35537 0.363170i 0.0556584 0.0149136i −0.230882 0.972982i \(-0.574161\pi\)
0.286541 + 0.958068i \(0.407495\pi\)
\(594\) 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
\(598\) 31.2985 + 3.84979i 1.27989 + 0.157430i
\(599\) −23.1607 40.1154i −0.946319 1.63907i −0.753089 0.657919i \(-0.771437\pi\)
−0.193230 0.981153i \(-0.561896\pi\)
\(600\) 3.18322 + 11.8800i 0.129955 + 0.484997i
\(601\) 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
\(604\) −28.4665 + 7.62757i −1.15828 + 0.310361i
\(605\) −7.11389 + 26.5494i −0.289221 + 1.07939i
\(606\) 40.1278 + 10.7522i 1.63008 + 0.436779i
\(607\) −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
\(609\) −0.734608 + 1.05972i −0.0297678 + 0.0429421i
\(610\) 9.85180i 0.398888i
\(611\) 12.8000 5.43005i 0.517834 0.219676i
\(612\) 13.9412 8.04897i 0.563540 0.325360i
\(613\) 4.61049 17.2066i 0.186216 0.694967i −0.808151 0.588975i \(-0.799532\pi\)
0.994367 0.105992i \(-0.0338018\pi\)
\(614\) −16.3916 9.46369i −0.661511 0.381923i
\(615\) 59.3536 2.39337
\(616\) −1.79791 + 2.59361i −0.0724398 + 0.104499i
\(617\) −1.41807 1.41807i −0.0570895 0.0570895i 0.677986 0.735075i \(-0.262853\pi\)
−0.735075 + 0.677986i \(0.762853\pi\)
\(618\) −9.79884 36.5698i −0.394167 1.47105i
\(619\) 2.63864 9.84753i 0.106056 0.395806i −0.892407 0.451231i \(-0.850985\pi\)
0.998463 + 0.0554256i \(0.0176516\pi\)
\(620\) −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
\(626\) 6.35157 + 1.70190i 0.253860 + 0.0680215i
\(627\) 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
\(630\) −62.6199 + 29.5602i −2.49484 + 1.17771i
\(631\) −4.32633 + 4.32633i −0.172228 + 0.172228i −0.787958 0.615729i \(-0.788861\pi\)
0.615729 + 0.787958i \(0.288861\pi\)
\(632\) 0.531928 + 1.98518i 0.0211589 + 0.0789663i
\(633\) 37.0092 21.3673i 1.47098 0.849272i
\(634\) −52.2874 + 30.1881i −2.07660 + 1.19892i
\(635\) 39.9908 10.7155i 1.58699 0.425232i
\(636\) −23.2100 −0.920336
\(637\) 13.1769 21.5260i 0.522086 0.852893i
\(638\) −0.604643 −0.0239380
\(639\) 9.36504 2.50936i 0.370475 0.0992686i
\(640\) 16.1451 9.32137i 0.638190 0.368459i
\(641\) 25.2944 14.6037i 0.999068 0.576812i 0.0910953 0.995842i \(-0.470963\pi\)
0.907972 + 0.419030i \(0.137630\pi\)
\(642\) 5.21349 + 19.4570i 0.205760 + 0.767907i
\(643\) −14.6743 + 14.6743i −0.578699 + 0.578699i −0.934545 0.355846i \(-0.884193\pi\)
0.355846 + 0.934545i \(0.384193\pi\)
\(644\) 17.9611 8.47867i 0.707767 0.334107i
\(645\) 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 0.945603 0.325323i \(-0.105473\pi\)
−0.754539 + 0.656255i \(0.772140\pi\)
\(648\) 3.30779 + 0.886318i 0.129942 + 0.0348179i
\(649\) −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
\(655\) 1.58037 5.89801i 0.0617501 0.230454i
\(656\) −7.79008 29.0730i −0.304151 1.13511i
\(657\) −34.6021 34.6021i −1.34995 1.34995i
\(658\) 11.0852 15.9911i 0.432145 0.623398i
\(659\) −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
\(661\) −6.53565 + 24.3914i −0.254207 + 0.948715i 0.714322 + 0.699817i \(0.246735\pi\)
−0.968530 + 0.248898i \(0.919932\pi\)
\(662\) 53.8588 31.0954i 2.09328 1.20856i
\(663\) 21.7017 + 8.77347i 0.842824 + 0.340733i
\(664\) 0.494289i 0.0191821i
\(665\) −26.8606 + 38.7483i −1.04161 + 1.50259i
\(666\) −1.66447 −0.0644970
\(667\) −0.731045 0.422069i −0.0283062 0.0163426i
\(668\) 23.8824 + 6.39927i 0.924038 + 0.247595i
\(669\) 0.0910515 0.339809i 0.00352025 0.0131378i
\(670\) 43.5319 11.6643i 1.68178 0.450632i
\(671\) −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 \(-0.726275\pi\)
0.652488 0.757799i \(-0.273725\pi\)
\(674\) 4.21864 + 15.7442i 0.162496 + 0.606443i
\(675\) 8.97750 + 15.5495i 0.345544 + 0.598500i
\(676\) 14.7886 15.3010i 0.568794 0.588498i
\(677\) 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
\(681\) −67.8068 + 18.1688i −2.59836 + 0.696229i
\(682\) −8.08304 2.16584i −0.309516 0.0829345i
\(683\) 5.76967 + 1.54598i 0.220770 + 0.0591552i 0.367509 0.930020i \(-0.380211\pi\)
−0.146738 + 0.989175i \(0.546878\pi\)
\(684\) 33.0279 8.84980i 1.26285 0.338381i
\(685\) 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
\(689\) −11.8840 15.2175i −0.452743 0.579741i
\(690\) −39.6196 68.6231i −1.50829 2.61244i
\(691\) −6.43667 24.0220i −0.244862 0.913839i −0.973453 0.228889i \(-0.926491\pi\)
0.728590 0.684950i \(-0.240176\pi\)
\(692\) 4.28895i 0.163041i
\(693\) −6.17088 + 17.2062i −0.234412 + 0.653609i
\(694\) 3.68919 + 3.68919i 0.140040 + 0.140040i
\(695\) 44.9048 12.0322i 1.70334 0.456407i
\(696\) 0.0873466 0.325982i 0.00331087 0.0123563i
\(697\) −15.5157 4.15741i −0.587698 0.157473i
\(698\) −20.0301 11.5644i −0.758150 0.437718i
\(699\) 13.4691 0.509448
\(700\) 2.39554 28.9518i 0.0905428 1.09427i
\(701\) 50.8136i 1.91920i 0.281364 + 0.959601i \(0.409213\pi\)
−0.281364 + 0.959601i \(0.590787\pi\)
\(702\) 7.18777 + 16.9434i 0.271285 + 0.639488i
\(703\) −0.981460 + 0.566646i −0.0370165 + 0.0213715i
\(704\) −2.17533 + 8.11845i −0.0819859 + 0.305976i
\(705\) −30.2574 17.4691i −1.13956 0.657924i
\(706\) −20.9243 −0.787498
\(707\) 17.8891 + 12.4009i 0.672788 + 0.466382i
\(708\) 44.2329 + 44.2329i 1.66237 + 1.66237i
\(709\) 4.23445 + 15.8032i 0.159028 + 0.593501i 0.998727 + 0.0504483i \(0.0160650\pi\)
−0.839699 + 0.543053i \(0.817268\pi\)
\(710\) −4.08248 + 15.2360i −0.153213 + 0.571798i
\(711\) 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
\(717\) −47.0866 12.6168i −1.75848 0.471184i
\(718\) 1.02106 + 1.76852i 0.0381055 + 0.0660007i
\(719\) −13.2682 + 22.9812i −0.494821 + 0.857055i −0.999982 0.00597015i \(-0.998100\pi\)
0.505161 + 0.863025i \(0.331433\pi\)
\(720\) 44.5854 44.5854i 1.66160 1.66160i
\(721\) 1.63576 19.7694i 0.0609190 0.736250i
\(722\) 10.9546 10.9546i 0.407690 0.407690i
\(723\) 1.86864 + 6.97387i 0.0694955 + 0.259361i
\(724\) 1.42277 0.821436i 0.0528768 0.0305284i
\(725\) −1.06926 + 0.617337i −0.0397113 + 0.0229273i
\(726\) 39.1803 10.4983i 1.45412 0.389629i
\(727\) 30.2407 1.12157 0.560783 0.827963i \(-0.310500\pi\)
0.560783 + 0.827963i \(0.310500\pi\)
\(728\) −1.34432 + 6.46745i −0.0498239 + 0.239699i
\(729\) 41.0975 1.52213
\(730\) 76.8994 20.6051i 2.84618 0.762630i
\(731\) −1.19424 + 0.689495i −0.0441706 + 0.0255019i
\(732\) −5.66695 + 3.27181i −0.209456 + 0.120930i
\(733\) 3.45279 + 12.8860i 0.127532 + 0.475955i 0.999917 0.0128637i \(-0.00409477\pi\)
−0.872386 + 0.488818i \(0.837428\pi\)
\(734\) −10.4748 + 10.4748i −0.386631 + 0.386631i
\(735\) −63.1236 + 6.12257i −2.32835 + 0.225834i
\(736\) −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
\(739\) 8.49643 + 2.27661i 0.312546 + 0.0837466i 0.411683 0.911327i \(-0.364941\pi\)
−0.0991361 + 0.995074i \(0.531608\pi\)
\(740\) 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 0.554475 0.832200i \(-0.312919\pi\)
−0.832200 + 0.554475i \(0.812919\pi\)
\(744\) 2.33535 4.04495i 0.0856181 0.148295i
\(745\) 6.28710 + 10.8896i 0.230341 + 0.398963i
\(746\) −8.77711 + 32.7566i −0.321353 + 1.19931i
\(747\) 0.741008 + 2.76548i 0.0271121 + 0.101184i
\(748\) 4.88855 + 4.88855i 0.178743 + 0.178743i
\(749\) −0.870311 + 10.5183i −0.0318005 + 0.384332i
\(750\) −29.5091 −1.07752
\(751\) −31.9329 18.4365i −1.16525 0.672756i −0.212692 0.977119i \(-0.568223\pi\)
−0.952556 + 0.304363i \(0.901556\pi\)
\(752\) −4.58559 + 17.1137i −0.167219 + 0.624071i
\(753\) 49.1246 28.3621i 1.79020 1.03357i
\(754\) −1.16511 + 0.494267i −0.0424309 + 0.0180001i
\(755\) 61.6040i 2.24200i
\(756\) 9.52706 + 6.60423i 0.346496 + 0.240194i
\(757\) 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
\(759\) −20.2044 5.41376i −0.733374 0.196507i
\(760\) 3.19379 11.9194i 0.115851 0.432362i
\(761\) −43.2252 + 11.5822i −1.56691 + 0.419853i −0.934844 0.355059i \(-0.884461\pi\)
−0.632069 + 0.774912i \(0.717794\pi\)
\(762\) −43.2030 43.2030i −1.56508 1.56508i
\(763\) −5.50743 30.3959i −0.199382 1.10041i
\(764\) 1.71937i 0.0622046i
\(765\) −8.70933 32.5037i −0.314887 1.17517i
\(766\) −19.8033 34.3003i −0.715522 1.23932i
\(767\) −6.35296 + 51.6491i −0.229392 + 1.86494i
\(768\) −46.2035 26.6756i −1.66723 0.962573i
\(769\) −19.6232 + 19.6232i −0.707631 + 0.707631i −0.966036 0.258406i \(-0.916803\pi\)
0.258406 + 0.966036i \(0.416803\pi\)
\(770\) −19.2228 22.6908i −0.692741 0.817721i
\(771\) 25.4434i 0.916321i
\(772\) −3.12606 + 0.837625i −0.112509 + 0.0301468i
\(773\) −10.1019 2.70681i −0.363342 0.0973571i 0.0725293 0.997366i \(-0.476893\pi\)
−0.435871 + 0.900009i \(0.643560\pi\)