Properties

Label 91.2.bb.a.31.2
Level $91$
Weight $2$
Character 91.31
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 31.2
Character \(\chi\) \(=\) 91.31
Dual form 91.2.bb.a.47.2

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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 −0.460136 0.887849i \(-0.652199\pi\)
−0.842414 + 0.538832i \(0.818866\pi\)
\(3\) 2.29307 + 1.32391i 1.32391 + 0.764357i 0.984349 0.176228i \(-0.0563897\pi\)
0.339557 + 0.940586i \(0.389723\pi\)
\(4\) 1.41759 + 0.818448i 0.708797 + 0.409224i
\(5\) −0.885596 + 3.30509i −0.396051 + 1.47808i 0.423932 + 0.905694i \(0.360649\pi\)
−0.819983 + 0.572388i \(0.806017\pi\)
\(6\) −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 0.000893225 1.00000i \(-0.499716\pi\)
0.500773 + 0.865578i \(0.333049\pi\)
\(12\) 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 \(-0.737234\pi\)
0.975526 + 0.219883i \(0.0705675\pi\)
\(18\) −1.97972 7.38842i −0.466625 1.74147i
\(19\) 1.34794 5.03057i 0.309238 1.15409i −0.619997 0.784604i \(-0.712866\pi\)
0.929235 0.369488i \(-0.120467\pi\)
\(20\) −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 −0.853222 0.521547i \(-0.825355\pi\)
0.0250620 + 0.999686i \(0.492022\pi\)
\(24\) 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 −0.0309869 0.999520i \(-0.509865\pi\)
0.472924 + 0.881103i \(0.343198\pi\)
\(32\) 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 −0.961142 0.276055i \(-0.910973\pi\)
0.970401 + 0.241500i \(0.0776394\pi\)
\(38\) −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 0.245850 0.969308i \(-0.420933\pi\)
−0.969308 + 0.245850i \(0.920933\pi\)
\(42\) 4.51013 + 12.5755i 0.695928 + 1.94045i
\(43\) 0.562412i 0.0857671i −0.999080 0.0428835i \(-0.986346\pi\)
0.999080 0.0428835i \(-0.0136544\pi\)
\(44\) 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 0.520040 0.854142i \(-0.325917\pi\)
0.0232964 + 0.999729i \(0.492584\pi\)
\(48\) 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 −0.989220 0.146440i \(-0.953219\pi\)
0.621430 + 0.783469i \(0.286552\pi\)
\(54\) 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 −0.574041 0.818827i \(-0.694625\pi\)
0.0877205 0.996145i \(-0.472042\pi\)
\(60\) −14.3249 + 3.83834i −1.84934 + 0.495528i
\(61\) −1.30750 + 0.754885i −0.167408 + 0.0966531i −0.581363 0.813644i \(-0.697480\pi\)
0.413955 + 0.910297i \(0.364147\pi\)
\(62\) −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 0.984948 + 0.172848i \(0.0552971\pi\)
−0.766566 + 0.642165i \(0.778036\pi\)
\(68\) 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 −0.598369 0.801221i \(-0.704184\pi\)
0.801221 + 0.598369i \(0.204184\pi\)
\(72\) −0.718846 + 2.68277i −0.0847168 + 0.316168i
\(73\) 3.15770 + 11.7847i 0.369581 + 1.37929i 0.861104 + 0.508429i \(0.169774\pi\)
−0.491523 + 0.870864i \(0.663560\pi\)
\(74\) −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 0.770389 0.637574i \(-0.220062\pi\)
−0.937350 + 0.348389i \(0.886729\pi\)
\(80\) 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 0.678863 0.734265i \(-0.262473\pi\)
−0.734265 + 0.678863i \(0.762473\pi\)
\(84\) −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 −0.143938 0.989587i \(-0.545977\pi\)
−0.619447 + 0.785038i \(0.712643\pi\)
\(90\) 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 0.964699 + 0.263356i \(0.0848293\pi\)
0.263356 + 0.964699i \(0.415171\pi\)
\(98\) −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 −0.994813 0.101719i \(-0.967566\pi\)
0.585498 + 0.810674i \(0.300899\pi\)
\(102\) −11.9592 + 3.20446i −1.18414 + 0.317289i
\(103\) −3.74883 6.49316i −0.369383 0.639790i 0.620086 0.784534i \(-0.287098\pi\)
−0.989469 + 0.144743i \(0.953764\pi\)
\(104\) 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 0.946185 0.323628i \(-0.104902\pi\)
−0.753362 + 0.657606i \(0.771569\pi\)
\(108\) −2.19073 + 3.79446i −0.210803 + 0.365122i
\(109\) −3.02188 11.2778i −0.289443 1.08022i −0.945531 0.325532i \(-0.894456\pi\)
0.656088 0.754685i \(-0.272210\pi\)
\(110\) 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 \(-0.819618\pi\)
0.843684 0.536840i \(-0.180382\pi\)
\(128\) 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 −0.430965 0.902368i \(-0.641827\pi\)
0.565991 + 0.824411i \(0.308494\pi\)
\(132\) 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 −0.945780 0.324807i \(-0.894701\pi\)
−0.656666 + 0.754181i \(0.728034\pi\)
\(138\) 22.3689 + 5.99372i 1.90416 + 0.510219i
\(139\) 13.5866i 1.15240i −0.817310 0.576198i \(-0.804536\pi\)
0.817310 0.576198i \(-0.195464\pi\)
\(140\) 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 0.110471 0.993879i \(-0.464764\pi\)
−0.401269 + 0.915960i \(0.631431\pi\)
\(150\) 8.76669 + 32.7177i 0.715797 + 2.67139i
\(151\) −17.3905 + 4.65978i −1.41522 + 0.379207i −0.883786 0.467892i \(-0.845014\pi\)
−0.531435 + 0.847099i \(0.678347\pi\)
\(152\) 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 −0.292489 0.956269i \(-0.594483\pi\)
−0.974398 + 0.224832i \(0.927817\pi\)
\(158\) 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 0.702118 + 0.712061i \(0.252238\pi\)
−0.964082 + 0.265604i \(0.914429\pi\)
\(164\) −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 −0.160536 0.987030i \(-0.551322\pi\)
0.987030 + 0.160536i \(0.0513221\pi\)
\(168\) 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 0.811917 0.583773i \(-0.198424\pi\)
−0.911521 + 0.411254i \(0.865091\pi\)
\(174\) −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 0.980322 + 0.197406i \(0.0632517\pi\)
0.661119 + 0.750281i \(0.270082\pi\)
\(180\) −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 0.884401 0.466729i \(-0.154567\pi\)
−0.846399 + 0.532549i \(0.821234\pi\)
\(192\) 6.45980 11.1887i 0.466196 0.807475i
\(193\) −1.90975 + 0.511716i −0.137467 + 0.0368341i −0.326896 0.945060i \(-0.606003\pi\)
0.189430 + 0.981894i \(0.439336\pi\)
\(194\) −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 \(-0.951154\pi\)
0.626499 + 0.779422i \(0.284487\pi\)
\(200\) −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 0.710245 0.703954i \(-0.248584\pi\)
−0.703954 + 0.710245i \(0.748584\pi\)
\(224\) 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 −0.972865 0.231374i \(-0.925678\pi\)
−0.726839 + 0.686808i \(0.759011\pi\)
\(228\) 21.8035 5.84222i 1.44397 0.386910i
\(229\) 17.0148 + 4.55909i 1.12437 + 0.301273i 0.772650 0.634833i \(-0.218931\pi\)
0.351718 + 0.936106i \(0.385598\pi\)
\(230\) 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 \(-0.613379\pi\)
0.637313 + 0.770605i \(0.280046\pi\)
\(234\) −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 −0.989129 0.147050i \(-0.953022\pi\)
0.147050 + 0.989129i \(0.453022\pi\)
\(240\) 40.2065 + 10.7733i 2.59532 + 0.695413i
\(241\) −0.705731 2.63382i −0.0454601 0.169659i 0.939464 0.342649i \(-0.111324\pi\)
−0.984924 + 0.172989i \(0.944657\pi\)
\(242\) 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 0.676365 0.736567i \(-0.263554\pi\)
−0.976068 + 0.217466i \(0.930221\pi\)
\(258\) −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 −0.718824 0.695192i \(-0.755319\pi\)
0.961466 + 0.274924i \(0.0886527\pi\)
\(264\) 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 0.391408 0.920217i \(-0.371988\pi\)
−0.601228 + 0.799078i \(0.705322\pi\)
\(270\) 15.1264 + 8.73320i 0.920560 + 0.531486i
\(271\) 16.5133 + 4.42472i 1.00311 + 0.268782i 0.722748 0.691112i \(-0.242879\pi\)
0.280362 + 0.959894i \(0.409546\pi\)
\(272\) −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 −0.324273 0.945963i \(-0.605120\pi\)
−0.981365 + 0.192153i \(0.938453\pi\)
\(278\) −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 0.639856 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 \(-0.723714\pi\)
0.983983 + 0.178261i \(0.0570473\pi\)
\(284\) 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 −0.940514 0.339756i \(-0.889656\pi\)
0.339756 + 0.940514i \(0.389656\pi\)
\(294\) 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 −0.477886 0.878422i \(-0.658597\pi\)
0.878422 + 0.477886i \(0.158597\pi\)
\(308\) −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 −0.827975 0.560766i \(-0.810507\pi\)
0.899625 + 0.436664i \(0.143840\pi\)
\(312\) 0.807065 + 6.56138i 0.0456910 + 0.371465i
\(313\) −2.98609 + 1.72402i −0.168784 + 0.0974473i −0.582012 0.813180i \(-0.697734\pi\)
0.413229 + 0.910627i \(0.364401\pi\)
\(314\) 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 0.977261 0.212041i \(-0.0680112\pi\)
0.740312 + 0.672264i \(0.234678\pi\)
\(318\) 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 −0.750874 0.660445i \(-0.770368\pi\)
−0.980499 + 0.196525i \(0.937034\pi\)
\(332\) −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 \(0.0747858\pi\)
−0.972527 + 0.232791i \(0.925214\pi\)
\(338\) −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 −0.900403 0.435056i \(-0.856729\pi\)
0.826971 + 0.562244i \(0.190062\pi\)
\(348\) 0.398881 + 0.690883i 0.0213823 + 0.0370352i
\(349\) 8.57575 8.57575i 0.459049 0.459049i −0.439294 0.898343i \(-0.644771\pi\)
0.898343 + 0.439294i \(0.144771\pi\)
\(350\) −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 0.0345014 0.999405i \(-0.489016\pi\)
0.529581 + 0.848259i \(0.322349\pi\)
\(354\) −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 −0.972854 0.231421i \(-0.925663\pi\)
0.958226 + 0.286011i \(0.0923292\pi\)
\(360\) −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 0.665191 0.746673i \(-0.268350\pi\)
−0.314042 + 0.949409i \(0.601683\pi\)
\(368\) 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 0.998979 0.0451732i \(-0.0143840\pi\)
−0.538611 + 0.842555i \(0.681051\pi\)
\(374\) −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 −0.372964 + 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
\(382\) −0.518453 1.93489i −0.0265264 0.0989978i
\(383\) 5.37524 20.0607i 0.274662 1.02505i −0.681405 0.731906i \(-0.738631\pi\)
0.956068 0.293147i \(-0.0947024\pi\)
\(384\) 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 0.664635 0.747168i \(-0.268587\pi\)
−0.314749 + 0.949175i \(0.601920\pi\)
\(390\) 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 0.909586 0.415516i \(-0.136399\pi\)
0.579966 + 0.814641i \(0.303066\pi\)
\(398\) 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 −0.652900 0.757444i \(-0.726448\pi\)
0.944150 0.329516i \(-0.106885\pi\)
\(402\) 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 0.885568 0.464510i \(-0.153770\pi\)
0.999179 0.0405065i \(-0.0128972\pi\)
\(410\) −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 \(0.0536654\pi\)
−0.985821 + 0.167797i \(0.946335\pi\)
\(420\) 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 \(0.447556\pi\)
\(422\) −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 −0.720661 0.693288i \(-0.756161\pi\)
0.277467 0.960735i \(-0.410505\pi\)
\(432\) 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 0.994659 + 0.103218i \(0.0329140\pi\)
−0.407940 + 0.913009i \(0.633753\pi\)
\(440\) −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 0.989653 0.143483i \(-0.0458303\pi\)
−0.619086 + 0.785323i \(0.712497\pi\)
\(444\) 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 0.884550 + 0.466445i \(0.154465\pi\)
0.466445 + 0.884550i \(0.345535\pi\)
\(450\) −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 0.541685 0.840582i \(-0.317787\pi\)
0.0488218 + 0.998808i \(0.484453\pi\)
\(458\) −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 0.619376 0.785095i \(-0.287386\pi\)
−0.785095 + 0.619376i \(0.787386\pi\)
\(462\) 13.1106 + 18.9130i 0.609961 + 0.879911i
\(463\) −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
\(466\) −9.37044 + 2.51080i −0.434077 + 0.116311i
\(467\) −2.86541 4.96304i −0.132595 0.229662i 0.792081 0.610416i \(-0.208998\pi\)
−0.924676 + 0.380754i \(0.875664\pi\)
\(468\) −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 0.976105 + 0.217298i \(0.0697242\pi\)
−0.736683 + 0.676238i \(0.763609\pi\)
\(480\) −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 0.956015 0.293319i \(-0.0947598\pi\)
−0.974592 + 0.223986i \(0.928093\pi\)
\(488\) −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 \(-0.828566\pi\)
0.858440 0.512913i \(-0.171434\pi\)
\(492\) 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 0.383987 0.923339i \(-0.374551\pi\)
−0.129127 + 0.991628i \(0.541217\pi\)
\(500\) 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 \(-0.918571\pi\)
0.967457 0.253035i \(-0.0814286\pi\)
\(504\) 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 −0.557876 0.829924i \(-0.688384\pi\)
0.898097 0.439797i \(-0.144950\pi\)
\(510\) 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 0.999094 + 0.0425681i \(0.0135540\pi\)
0.536412 + 0.843956i \(0.319779\pi\)
\(522\) −0.364393 1.35993i −0.0159490 0.0595227i
\(523\) −29.2572 + 16.8917i −1.27933 + 0.738621i −0.976725 0.214495i \(-0.931189\pi\)
−0.302604 + 0.953116i \(0.597856\pi\)
\(524\) 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 0.816839 + 0.576866i \(0.195724\pi\)
−0.995836 + 0.0911607i \(0.970942\pi\)
\(542\) −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 −0.875396 0.483407i \(-0.839399\pi\)
−0.516412 + 0.856340i \(0.672733\pi\)
\(558\) −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 0.360554 + 0.932738i \(0.382588\pi\)
−0.988052 + 0.154120i \(0.950746\pi\)
\(564\) 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 −0.253441 0.967351i \(-0.581562\pi\)
0.711030 + 0.703162i \(0.248229\pi\)
\(570\) −23.2896 86.9179i −0.975494 3.64059i
\(571\) −4.31551 2.49156i −0.180598 0.104269i 0.406975 0.913439i \(-0.366583\pi\)
−0.587574 + 0.809171i \(0.699917\pi\)
\(572\) 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 −0.247070 0.968998i \(-0.579468\pi\)
0.270530 + 0.962712i \(0.412801\pi\)
\(578\) −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 0.662274 0.749262i \(-0.269592\pi\)
−0.749262 + 0.662274i \(0.769592\pi\)
\(588\) −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 0.286541 0.958068i \(-0.407495\pi\)
−0.230882 + 0.972982i \(0.574161\pi\)
\(594\) 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 −0.193230 + 0.981153i \(0.561896\pi\)
−0.753089 + 0.657919i \(0.771437\pi\)
\(600\) 3.18322 11.8800i 0.129955 0.484997i
\(601\) 41.2270i 1.68169i 0.541279 + 0.840843i \(0.317940\pi\)
−0.541279 + 0.840843i \(0.682060\pi\)
\(602\) 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 −0.638496 0.769625i \(-0.720443\pi\)
0.347267 + 0.937766i \(0.387110\pi\)
\(608\) 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 0.994367 + 0.105992i \(0.0338018\pi\)
−0.808151 + 0.588975i \(0.799532\pi\)
\(614\) −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 −0.735075 0.677986i \(-0.762853\pi\)
0.677986 + 0.735075i \(0.262853\pi\)
\(618\) −9.79884 + 36.5698i −0.394167 + 1.47105i
\(619\) 2.63864 + 9.84753i 0.106056 + 0.395806i 0.998463 0.0554256i \(-0.0176516\pi\)
−0.892407 + 0.451231i \(0.850985\pi\)
\(620\) −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 0.615729 0.787958i \(-0.288861\pi\)
−0.787958 + 0.615729i \(0.788861\pi\)
\(632\) 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 0.907972 0.419030i \(-0.137630\pi\)
0.0910953 + 0.995842i \(0.470963\pi\)
\(642\) 5.21349 19.4570i 0.205760 0.767907i
\(643\) −14.6743 14.6743i −0.578699 0.578699i 0.355846 0.934545i \(-0.384193\pi\)
−0.934545 + 0.355846i \(0.884193\pi\)
\(644\) 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 −0.754539 0.656255i \(-0.772140\pi\)
0.945603 + 0.325323i \(0.105473\pi\)
\(648\) 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 0.691167 0.722695i \(-0.257097\pi\)
−0.971456 + 0.237220i \(0.923764\pi\)
\(654\) −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 −0.968530 0.248898i \(-0.919932\pi\)
0.714322 0.699817i \(-0.246735\pi\)
\(662\) 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 \(0.273725\pi\)
−0.652488 + 0.757799i \(0.726275\pi\)
\(674\) 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 −0.248315 0.968679i \(-0.579877\pi\)
0.714743 + 0.699387i \(0.246544\pi\)
\(678\) 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 −0.146738 0.989175i \(-0.546878\pi\)
0.367509 + 0.930020i \(0.380211\pi\)
\(684\) 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 0.728590 + 0.684950i \(0.240176\pi\)
−0.973453 + 0.228889i \(0.926491\pi\)
\(692\) 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 \(-0.590787\pi\)
0.281364 0.959601i \(-0.409213\pi\)
\(702\) 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 −0.839699 0.543053i \(-0.817268\pi\)
0.998727 0.0504483i \(-0.0160650\pi\)
\(710\) −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 0.505161 0.863025i \(-0.331433\pi\)
−0.999982 + 0.00597015i \(0.998100\pi\)
\(720\) 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 −0.872386 0.488818i \(-0.837428\pi\)
0.999917 + 0.0128637i \(0.00409477\pi\)
\(734\) −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 −0.0991361 0.995074i \(-0.531608\pi\)
0.411683 + 0.911327i \(0.364941\pi\)
\(740\) 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
\(746\) −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 −0.952556 0.304363i \(-0.901556\pi\)
−0.212692 + 0.977119i \(0.568223\pi\)
\(752\) −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 −0.632069 0.774912i \(-0.717794\pi\)
−0.934844 + 0.355059i \(0.884461\pi\)
\(762\) −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 0.258406 0.966036i \(-0.416803\pi\)
−0.966036 + 0.258406i \(0.916803\pi\)
\(770\) −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 −0.435871 0.900009i \(-0.643560\pi\)
0.0725293 + 0.997366i \(0.476893\pi\)