Properties

Label 690.2.q.a.11.3
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.10251 - 1.33584i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-0.527715 + 1.64970i) q^{6} +(-3.34609 + 2.89940i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.568927 + 2.94556i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.10251 - 1.33584i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(-0.527715 + 1.64970i) q^{6} +(-3.34609 + 2.89940i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-0.568927 + 2.94556i) q^{9} +(0.755750 + 0.654861i) q^{10} +(-4.01839 - 2.58246i) q^{11} +(1.67312 - 0.447955i) q^{12} +(2.41711 - 2.78949i) q^{13} +(4.24816 + 1.24737i) q^{14} +(1.43420 + 0.971113i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-1.62463 - 3.55744i) q^{17} +(2.78555 - 1.11388i) q^{18} +(7.60893 + 3.47488i) q^{19} +(0.142315 - 0.989821i) q^{20} +(7.56224 + 1.27320i) q^{21} +4.77667i q^{22} +(3.34534 + 3.43638i) q^{23} +(-1.28140 - 1.16534i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-3.65346 - 0.525288i) q^{26} +(4.56204 - 2.48753i) q^{27} +(-1.24737 - 4.24816i) q^{28} +(5.54481 - 2.53223i) q^{29} +(0.0415636 - 1.73155i) q^{30} +(1.22933 + 8.55015i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(0.980579 + 8.21512i) q^{33} +(-2.11437 + 3.29002i) q^{34} +(2.39369 - 3.72466i) q^{35} +(-2.44303 - 1.74114i) q^{36} +(2.66373 - 9.07181i) q^{37} +(-1.19044 - 8.27970i) q^{38} +(-6.39121 - 0.153412i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(1.46755 + 4.99802i) q^{41} +(-3.01737 - 7.05011i) q^{42} +(-3.91106 - 0.562326i) q^{43} +(4.01839 - 2.58246i) q^{44} +(-0.283979 - 2.98653i) q^{45} +(1.08224 - 4.67213i) q^{46} -0.0662848i q^{47} +(-0.287566 + 1.70801i) q^{48} +(1.79357 - 12.4746i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(-2.96099 + 6.09237i) q^{51} +(1.53331 + 3.35748i) q^{52} +(2.25260 + 2.59964i) q^{53} +(-4.55907 - 2.49297i) q^{54} +(4.58318 + 1.34574i) q^{55} +(-2.89940 + 3.34609i) q^{56} +(-3.74707 - 13.9954i) q^{57} +(-5.12799 - 3.29556i) q^{58} +(3.24536 + 2.81212i) q^{59} +(-1.47915 + 0.901182i) q^{60} +(-4.76718 + 0.685417i) q^{61} +(6.52822 - 5.65674i) q^{62} +(-6.63668 - 11.5057i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-1.53331 + 3.35748i) q^{65} +(6.38086 - 5.26635i) q^{66} +(-1.26011 - 1.96076i) q^{67} +3.91086 q^{68} +(0.902158 - 8.25749i) q^{69} -4.42751 q^{70} +(6.84012 + 10.6434i) q^{71} +(-0.143939 + 2.99654i) q^{72} +(-2.39376 + 5.24160i) q^{73} +(-9.07181 + 2.66373i) q^{74} +(-1.64970 - 0.527715i) q^{75} +(-6.32173 + 5.47781i) q^{76} +(20.9335 - 3.00978i) q^{77} +(3.32629 + 5.45957i) q^{78} +(6.35877 + 5.50990i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-8.35264 - 3.35161i) q^{81} +(3.41119 - 3.93672i) q^{82} +(2.94984 + 0.866151i) q^{83} +(-4.29961 + 6.34995i) q^{84} +(2.56107 + 2.95563i) q^{85} +(1.64142 + 3.59421i) q^{86} +(-9.49587 - 4.61515i) q^{87} +(-4.34501 - 1.98430i) q^{88} +(-0.473277 + 3.29171i) q^{89} +(-2.35890 + 1.85354i) q^{90} +16.3421i q^{91} +(-4.51554 + 1.61551i) q^{92} +(10.0663 - 11.0688i) q^{93} +(-0.0557623 + 0.0358362i) q^{94} +(-8.27970 - 1.19044i) q^{95} +(1.59234 - 0.681505i) q^{96} +(-0.758750 - 2.58406i) q^{97} +(-11.4639 + 5.23541i) q^{98} +(9.89297 - 10.3672i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) −1.10251 1.33584i −0.636537 0.771246i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) −0.527715 + 1.64970i −0.215439 + 0.673488i
\(7\) −3.34609 + 2.89940i −1.26470 + 1.09587i −0.273730 + 0.961807i \(0.588257\pi\)
−0.990973 + 0.134064i \(0.957197\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) −0.568927 + 2.94556i −0.189642 + 0.981853i
\(10\) 0.755750 + 0.654861i 0.238989 + 0.207085i
\(11\) −4.01839 2.58246i −1.21159 0.778642i −0.230667 0.973033i \(-0.574091\pi\)
−0.980924 + 0.194391i \(0.937727\pi\)
\(12\) 1.67312 0.447955i 0.482989 0.129313i
\(13\) 2.41711 2.78949i 0.670386 0.773666i −0.314051 0.949406i \(-0.601686\pi\)
0.984437 + 0.175740i \(0.0562317\pi\)
\(14\) 4.24816 + 1.24737i 1.13537 + 0.333375i
\(15\) 1.43420 + 0.971113i 0.370310 + 0.250740i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −1.62463 3.55744i −0.394031 0.862807i −0.997841 0.0656786i \(-0.979079\pi\)
0.603810 0.797128i \(-0.293648\pi\)
\(18\) 2.78555 1.11388i 0.656560 0.262544i
\(19\) 7.60893 + 3.47488i 1.74561 + 0.797193i 0.989811 + 0.142387i \(0.0454777\pi\)
0.755797 + 0.654806i \(0.227250\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) 7.56224 + 1.27320i 1.65022 + 0.277835i
\(22\) 4.77667i 1.01839i
\(23\) 3.34534 + 3.43638i 0.697552 + 0.716534i
\(24\) −1.28140 1.16534i −0.261565 0.237873i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) −3.65346 0.525288i −0.716502 0.103017i
\(27\) 4.56204 2.48753i 0.877965 0.478725i
\(28\) −1.24737 4.24816i −0.235731 0.802828i
\(29\) 5.54481 2.53223i 1.02964 0.470223i 0.172343 0.985037i \(-0.444866\pi\)
0.857302 + 0.514814i \(0.172139\pi\)
\(30\) 0.0415636 1.73155i 0.00758843 0.316137i
\(31\) 1.22933 + 8.55015i 0.220794 + 1.53565i 0.735048 + 0.678015i \(0.237160\pi\)
−0.514254 + 0.857638i \(0.671931\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) 0.980579 + 8.21512i 0.170697 + 1.43007i
\(34\) −2.11437 + 3.29002i −0.362612 + 0.564235i
\(35\) 2.39369 3.72466i 0.404608 0.629582i
\(36\) −2.44303 1.74114i −0.407172 0.290191i
\(37\) 2.66373 9.07181i 0.437914 1.49140i −0.384832 0.922987i \(-0.625740\pi\)
0.822745 0.568410i \(-0.192441\pi\)
\(38\) −1.19044 8.27970i −0.193115 1.34315i
\(39\) −6.39121 0.153412i −1.02341 0.0245656i
\(40\) −0.909632 + 0.415415i −0.143825 + 0.0656829i
\(41\) 1.46755 + 4.99802i 0.229193 + 0.780560i 0.991128 + 0.132907i \(0.0424312\pi\)
−0.761935 + 0.647653i \(0.775751\pi\)
\(42\) −3.01737 7.05011i −0.465590 1.08785i
\(43\) −3.91106 0.562326i −0.596432 0.0857539i −0.162514 0.986706i \(-0.551960\pi\)
−0.433918 + 0.900952i \(0.642869\pi\)
\(44\) 4.01839 2.58246i 0.605795 0.389321i
\(45\) −0.283979 2.98653i −0.0423331 0.445205i
\(46\) 1.08224 4.67213i 0.159567 0.688867i
\(47\) 0.0662848i 0.00966863i −0.999988 0.00483431i \(-0.998461\pi\)
0.999988 0.00483431i \(-0.00153882\pi\)
\(48\) −0.287566 + 1.70801i −0.0415066 + 0.246530i
\(49\) 1.79357 12.4746i 0.256224 1.78208i
\(50\) −0.909632 0.415415i −0.128641 0.0587486i
\(51\) −2.96099 + 6.09237i −0.414622 + 0.853103i
\(52\) 1.53331 + 3.35748i 0.212632 + 0.465598i
\(53\) 2.25260 + 2.59964i 0.309418 + 0.357088i 0.889066 0.457780i \(-0.151355\pi\)
−0.579647 + 0.814867i \(0.696810\pi\)
\(54\) −4.55907 2.49297i −0.620410 0.339251i
\(55\) 4.58318 + 1.34574i 0.617996 + 0.181460i
\(56\) −2.89940 + 3.34609i −0.387449 + 0.447140i
\(57\) −3.74707 13.9954i −0.496312 1.85374i
\(58\) −5.12799 3.29556i −0.673339 0.432728i
\(59\) 3.24536 + 2.81212i 0.422511 + 0.366107i 0.840011 0.542569i \(-0.182548\pi\)
−0.417501 + 0.908677i \(0.637094\pi\)
\(60\) −1.47915 + 0.901182i −0.190957 + 0.116342i
\(61\) −4.76718 + 0.685417i −0.610375 + 0.0877587i −0.440569 0.897719i \(-0.645223\pi\)
−0.169806 + 0.985477i \(0.554314\pi\)
\(62\) 6.52822 5.65674i 0.829085 0.718406i
\(63\) −6.63668 11.5057i −0.836143 1.44958i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −1.53331 + 3.35748i −0.190184 + 0.416444i
\(66\) 6.38086 5.26635i 0.785429 0.648242i
\(67\) −1.26011 1.96076i −0.153947 0.239545i 0.755710 0.654906i \(-0.227292\pi\)
−0.909657 + 0.415361i \(0.863655\pi\)
\(68\) 3.91086 0.474261
\(69\) 0.902158 8.25749i 0.108607 0.994085i
\(70\) −4.42751 −0.529189
\(71\) 6.84012 + 10.6434i 0.811773 + 1.26314i 0.961606 + 0.274432i \(0.0884899\pi\)
−0.149833 + 0.988711i \(0.547874\pi\)
\(72\) −0.143939 + 2.99654i −0.0169634 + 0.353146i
\(73\) −2.39376 + 5.24160i −0.280168 + 0.613483i −0.996437 0.0843418i \(-0.973121\pi\)
0.716269 + 0.697825i \(0.245849\pi\)
\(74\) −9.07181 + 2.66373i −1.05458 + 0.309652i
\(75\) −1.64970 0.527715i −0.190491 0.0609352i
\(76\) −6.32173 + 5.47781i −0.725152 + 0.628348i
\(77\) 20.9335 3.00978i 2.38559 0.342996i
\(78\) 3.32629 + 5.45957i 0.376628 + 0.618174i
\(79\) 6.35877 + 5.50990i 0.715417 + 0.619912i 0.934570 0.355778i \(-0.115784\pi\)
−0.219153 + 0.975690i \(0.570330\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) −8.35264 3.35161i −0.928072 0.372402i
\(82\) 3.41119 3.93672i 0.376703 0.434738i
\(83\) 2.94984 + 0.866151i 0.323787 + 0.0950724i 0.439587 0.898200i \(-0.355125\pi\)
−0.115800 + 0.993273i \(0.536943\pi\)
\(84\) −4.29961 + 6.34995i −0.469126 + 0.692836i
\(85\) 2.56107 + 2.95563i 0.277787 + 0.320583i
\(86\) 1.64142 + 3.59421i 0.176999 + 0.387574i
\(87\) −9.49587 4.61515i −1.01806 0.494796i
\(88\) −4.34501 1.98430i −0.463180 0.211527i
\(89\) −0.473277 + 3.29171i −0.0501672 + 0.348921i 0.949242 + 0.314547i \(0.101853\pi\)
−0.999409 + 0.0343735i \(0.989056\pi\)
\(90\) −2.35890 + 1.85354i −0.248650 + 0.195380i
\(91\) 16.3421i 1.71311i
\(92\) −4.51554 + 1.61551i −0.470778 + 0.168428i
\(93\) 10.0663 11.0688i 1.04382 1.14779i
\(94\) −0.0557623 + 0.0358362i −0.00575144 + 0.00369623i
\(95\) −8.27970 1.19044i −0.849480 0.122137i
\(96\) 1.59234 0.681505i 0.162518 0.0695558i
\(97\) −0.758750 2.58406i −0.0770394 0.262372i 0.911963 0.410273i \(-0.134567\pi\)
−0.989002 + 0.147901i \(0.952748\pi\)
\(98\) −11.4639 + 5.23541i −1.15803 + 0.528856i
\(99\) 9.89297 10.3672i 0.994281 1.04194i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 3.24407 11.0483i 0.322797 1.09934i −0.625041 0.780592i \(-0.714918\pi\)
0.947838 0.318753i \(-0.103264\pi\)
\(102\) 6.72606 0.802841i 0.665979 0.0794931i
\(103\) 6.17251 9.60462i 0.608196 0.946371i −0.391462 0.920194i \(-0.628030\pi\)
0.999657 0.0261765i \(-0.00833318\pi\)
\(104\) 1.99552 3.10509i 0.195677 0.304479i
\(105\) −7.61462 + 0.908901i −0.743111 + 0.0886997i
\(106\) 0.969108 3.30048i 0.0941281 0.320571i
\(107\) 0.955526 + 6.64583i 0.0923742 + 0.642476i 0.982431 + 0.186627i \(0.0597555\pi\)
−0.890057 + 0.455850i \(0.849335\pi\)
\(108\) 0.367594 + 5.18313i 0.0353717 + 0.498747i
\(109\) −12.7270 + 5.81223i −1.21903 + 0.556711i −0.917876 0.396866i \(-0.870098\pi\)
−0.301150 + 0.953577i \(0.597370\pi\)
\(110\) −1.34574 4.58318i −0.128312 0.436989i
\(111\) −15.0553 + 6.44350i −1.42898 + 0.611590i
\(112\) 4.38244 + 0.630100i 0.414102 + 0.0595389i
\(113\) 1.91170 1.22857i 0.179838 0.115575i −0.447625 0.894221i \(-0.647730\pi\)
0.627462 + 0.778647i \(0.284094\pi\)
\(114\) −9.74786 + 10.7187i −0.912971 + 1.00390i
\(115\) −4.17797 2.35469i −0.389598 0.219576i
\(116\) 6.09566i 0.565968i
\(117\) 6.84146 + 8.70676i 0.632493 + 0.804940i
\(118\) 0.611133 4.25052i 0.0562594 0.391292i
\(119\) 15.7506 + 7.19306i 1.44386 + 0.659387i
\(120\) 1.55781 + 0.757120i 0.142208 + 0.0691153i
\(121\) 4.90879 + 10.7487i 0.446254 + 0.977159i
\(122\) 3.15394 + 3.63984i 0.285545 + 0.329536i
\(123\) 5.05855 7.47080i 0.456114 0.673620i
\(124\) −8.28817 2.43363i −0.744300 0.218546i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) −6.09111 + 11.8036i −0.542639 + 1.05154i
\(127\) 2.79724 + 1.79768i 0.248215 + 0.159518i 0.658833 0.752290i \(-0.271051\pi\)
−0.410618 + 0.911808i \(0.634687\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) 3.56082 + 5.84452i 0.313513 + 0.514581i
\(130\) 3.65346 0.525288i 0.320430 0.0460708i
\(131\) 2.42372 2.10017i 0.211762 0.183492i −0.542521 0.840042i \(-0.682530\pi\)
0.754283 + 0.656550i \(0.227985\pi\)
\(132\) −7.88009 2.52072i −0.685873 0.219400i
\(133\) −35.5352 + 10.4341i −3.08130 + 0.904750i
\(134\) −0.968235 + 2.12014i −0.0836427 + 0.183152i
\(135\) −3.67643 + 3.67204i −0.316417 + 0.316039i
\(136\) −2.11437 3.29002i −0.181306 0.282117i
\(137\) −1.16936 −0.0999053 −0.0499527 0.998752i \(-0.515907\pi\)
−0.0499527 + 0.998752i \(0.515907\pi\)
\(138\) −7.43438 + 3.70539i −0.632857 + 0.315424i
\(139\) 6.27243 0.532020 0.266010 0.963970i \(-0.414295\pi\)
0.266010 + 0.963970i \(0.414295\pi\)
\(140\) 2.39369 + 3.72466i 0.202304 + 0.314791i
\(141\) −0.0885457 + 0.0730799i −0.00745689 + 0.00615443i
\(142\) 5.25578 11.5086i 0.441055 0.965776i
\(143\) −16.9167 + 4.96718i −1.41464 + 0.415376i
\(144\) 2.59867 1.49897i 0.216556 0.124914i
\(145\) −4.60679 + 3.99181i −0.382573 + 0.331502i
\(146\) 5.70368 0.820065i 0.472040 0.0678691i
\(147\) −18.6414 + 11.3575i −1.53752 + 0.936747i
\(148\) 7.14546 + 6.19158i 0.587353 + 0.508945i
\(149\) 17.2923 + 11.1131i 1.41664 + 0.910418i 0.999999 + 0.00134529i \(0.000428220\pi\)
0.416638 + 0.909072i \(0.363208\pi\)
\(150\) 0.447955 + 1.67312i 0.0365753 + 0.136610i
\(151\) 12.8715 14.8545i 1.04746 1.20884i 0.0700425 0.997544i \(-0.477687\pi\)
0.977422 0.211295i \(-0.0677680\pi\)
\(152\) 8.02601 + 2.35665i 0.650995 + 0.191149i
\(153\) 11.4030 2.76152i 0.921874 0.223256i
\(154\) −13.8495 15.9832i −1.11602 1.28796i
\(155\) −3.58839 7.85747i −0.288226 0.631127i
\(156\) 2.79455 5.74992i 0.223743 0.460362i
\(157\) 2.90424 + 1.32632i 0.231784 + 0.105852i 0.527922 0.849293i \(-0.322971\pi\)
−0.296138 + 0.955145i \(0.595699\pi\)
\(158\) 1.19742 8.32821i 0.0952613 0.662557i
\(159\) 0.989174 5.87525i 0.0784466 0.465937i
\(160\) 1.00000i 0.0790569i
\(161\) −21.1572 1.79893i −1.66742 0.141776i
\(162\) 1.69622 + 8.83871i 0.133268 + 0.694435i
\(163\) −4.31521 + 2.77322i −0.337993 + 0.217215i −0.698616 0.715497i \(-0.746200\pi\)
0.360623 + 0.932712i \(0.382564\pi\)
\(164\) −5.15601 0.741322i −0.402616 0.0578875i
\(165\) −3.25533 7.60609i −0.253427 0.592133i
\(166\) −0.866151 2.94984i −0.0672263 0.228952i
\(167\) −9.87937 + 4.51176i −0.764489 + 0.349130i −0.759202 0.650856i \(-0.774410\pi\)
−0.00528739 + 0.999986i \(0.501683\pi\)
\(168\) 7.66646 + 0.184023i 0.591480 + 0.0141977i
\(169\) −0.0887613 0.617349i −0.00682779 0.0474884i
\(170\) 1.10182 3.75244i 0.0845055 0.287799i
\(171\) −14.5644 + 20.4356i −1.11377 + 1.56275i
\(172\) 2.13622 3.32403i 0.162886 0.253455i
\(173\) −5.49413 + 8.54904i −0.417711 + 0.649971i −0.984801 0.173684i \(-0.944433\pi\)
0.567090 + 0.823656i \(0.308069\pi\)
\(174\) 1.25135 + 10.4836i 0.0948644 + 0.794758i
\(175\) −1.24737 + 4.24816i −0.0942926 + 0.321131i
\(176\) 0.679791 + 4.72805i 0.0512412 + 0.356390i
\(177\) 0.178484 7.43569i 0.0134157 0.558901i
\(178\) 3.02504 1.38149i 0.226736 0.103547i
\(179\) −3.57011 12.1587i −0.266842 0.908781i −0.978499 0.206253i \(-0.933873\pi\)
0.711656 0.702528i \(-0.247945\pi\)
\(180\) 2.83461 + 0.982333i 0.211279 + 0.0732188i
\(181\) 19.1956 + 2.75991i 1.42680 + 0.205142i 0.812053 0.583584i \(-0.198350\pi\)
0.614745 + 0.788726i \(0.289259\pi\)
\(182\) 13.7478 8.83519i 1.01906 0.654908i
\(183\) 6.17149 + 5.61250i 0.456210 + 0.414888i
\(184\) 3.80034 + 2.92531i 0.280165 + 0.215657i
\(185\) 9.45480i 0.695131i
\(186\) −14.7539 2.48402i −1.08181 0.182137i
\(187\) −2.65857 + 18.4907i −0.194414 + 1.35218i
\(188\) 0.0602947 + 0.0275357i 0.00439745 + 0.00200825i
\(189\) −8.05265 + 21.5507i −0.585744 + 1.56758i
\(190\) 3.47488 + 7.60893i 0.252094 + 0.552010i
\(191\) −3.96040 4.57055i −0.286565 0.330713i 0.594155 0.804350i \(-0.297486\pi\)
−0.880720 + 0.473637i \(0.842941\pi\)
\(192\) −1.43420 0.971113i −0.103505 0.0700841i
\(193\) 21.3756 + 6.27643i 1.53865 + 0.451787i 0.937684 0.347490i \(-0.112966\pi\)
0.600962 + 0.799277i \(0.294784\pi\)
\(194\) −1.76364 + 2.03535i −0.126622 + 0.146130i
\(195\) 6.17554 1.65341i 0.442240 0.118403i
\(196\) 10.6022 + 6.81361i 0.757299 + 0.486686i
\(197\) 19.7536 + 17.1166i 1.40738 + 1.21951i 0.942531 + 0.334118i \(0.108438\pi\)
0.464853 + 0.885388i \(0.346107\pi\)
\(198\) −14.0700 2.71758i −0.999909 0.193130i
\(199\) −0.654715 + 0.0941338i −0.0464115 + 0.00667297i −0.165481 0.986213i \(-0.552918\pi\)
0.119070 + 0.992886i \(0.462009\pi\)
\(200\) 0.755750 0.654861i 0.0534396 0.0463056i
\(201\) −1.22998 + 3.84507i −0.0867560 + 0.271210i
\(202\) −11.0483 + 3.24407i −0.777354 + 0.228252i
\(203\) −11.2115 + 24.5497i −0.786890 + 1.72305i
\(204\) −4.31178 5.22428i −0.301885 0.365772i
\(205\) −2.81621 4.38211i −0.196693 0.306060i
\(206\) −11.4170 −0.795462
\(207\) −12.0253 + 7.89886i −0.835817 + 0.549009i
\(208\) −3.69103 −0.255927
\(209\) −21.6019 33.6132i −1.49424 2.32508i
\(210\) 4.88139 + 5.91444i 0.336848 + 0.408135i
\(211\) −1.12037 + 2.45327i −0.0771295 + 0.168890i −0.944269 0.329176i \(-0.893229\pi\)
0.867139 + 0.498066i \(0.165956\pi\)
\(212\) −3.30048 + 0.969108i −0.226678 + 0.0665586i
\(213\) 6.67658 20.8718i 0.457472 1.43011i
\(214\) 5.07423 4.39685i 0.346867 0.300562i
\(215\) 3.91106 0.562326i 0.266732 0.0383503i
\(216\) 4.16159 3.11145i 0.283161 0.211708i
\(217\) −28.9038 25.0453i −1.96212 1.70018i
\(218\) 11.7703 + 7.56431i 0.797185 + 0.512320i
\(219\) 9.64108 2.58126i 0.651484 0.174426i
\(220\) −3.12805 + 3.60997i −0.210893 + 0.243384i
\(221\) −13.8504 4.06684i −0.931677 0.273565i
\(222\) 13.5601 + 9.18168i 0.910095 + 0.616234i
\(223\) −6.02928 6.95815i −0.403750 0.465953i 0.517068 0.855944i \(-0.327023\pi\)
−0.920818 + 0.389992i \(0.872478\pi\)
\(224\) −1.83925 4.02740i −0.122890 0.269092i
\(225\) 1.11388 + 2.78555i 0.0742586 + 0.185703i
\(226\) −2.06709 0.944007i −0.137501 0.0627944i
\(227\) −0.818290 + 5.69133i −0.0543118 + 0.377747i 0.944478 + 0.328573i \(0.106568\pi\)
−0.998790 + 0.0491736i \(0.984341\pi\)
\(228\) 14.2873 + 2.40545i 0.946197 + 0.159305i
\(229\) 25.4796i 1.68374i −0.539679 0.841871i \(-0.681454\pi\)
0.539679 0.841871i \(-0.318546\pi\)
\(230\) 0.277892 + 4.78777i 0.0183236 + 0.315696i
\(231\) −27.1000 24.6454i −1.78305 1.62155i
\(232\) 5.12799 3.29556i 0.336669 0.216364i
\(233\) 20.1986 + 2.90411i 1.32325 + 0.190255i 0.767476 0.641078i \(-0.221512\pi\)
0.555776 + 0.831332i \(0.312421\pi\)
\(234\) 3.62582 10.4626i 0.237027 0.683964i
\(235\) 0.0186746 + 0.0635998i 0.00121819 + 0.00414879i
\(236\) −3.90617 + 1.78389i −0.254270 + 0.116121i
\(237\) 0.349710 14.5690i 0.0227161 0.946360i
\(238\) −2.46423 17.1391i −0.159733 1.11096i
\(239\) 4.24591 14.4602i 0.274645 0.935356i −0.700475 0.713677i \(-0.747028\pi\)
0.975120 0.221678i \(-0.0711535\pi\)
\(240\) −0.205285 1.71984i −0.0132511 0.111015i
\(241\) −1.96783 + 3.06200i −0.126759 + 0.197241i −0.898832 0.438293i \(-0.855583\pi\)
0.772074 + 0.635533i \(0.219220\pi\)
\(242\) 6.38853 9.94075i 0.410670 0.639015i
\(243\) 4.73169 + 14.8530i 0.303538 + 0.952819i
\(244\) 1.35688 4.62111i 0.0868654 0.295836i
\(245\) 1.79357 + 12.4746i 0.114587 + 0.796970i
\(246\) −9.01970 0.216506i −0.575075 0.0138039i
\(247\) 28.0848 12.8259i 1.78699 0.816092i
\(248\) 2.43363 + 8.28817i 0.154536 + 0.526300i
\(249\) −2.09520 4.89545i −0.132778 0.310237i
\(250\) 0.989821 + 0.142315i 0.0626018 + 0.00900078i
\(251\) −8.81730 + 5.66654i −0.556543 + 0.357669i −0.788478 0.615063i \(-0.789131\pi\)
0.231935 + 0.972731i \(0.425494\pi\)
\(252\) 13.2229 1.25732i 0.832963 0.0792037i
\(253\) −4.56857 22.4479i −0.287224 1.41129i
\(254\) 3.32509i 0.208635i
\(255\) 1.12463 6.67980i 0.0704271 0.418305i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 9.43172 + 4.30732i 0.588335 + 0.268683i 0.687260 0.726411i \(-0.258813\pi\)
−0.0989255 + 0.995095i \(0.531541\pi\)
\(258\) 2.99160 6.15534i 0.186249 0.383215i
\(259\) 17.3898 + 38.0783i 1.08055 + 2.36607i
\(260\) −2.41711 2.78949i −0.149903 0.172997i
\(261\) 4.30424 + 17.7732i 0.266426 + 1.10013i
\(262\) −3.07714 0.903529i −0.190106 0.0558202i
\(263\) 10.6059 12.2399i 0.653988 0.754742i −0.327795 0.944749i \(-0.606306\pi\)
0.981783 + 0.190007i \(0.0608510\pi\)
\(264\) 2.13973 + 7.99195i 0.131691 + 0.491871i
\(265\) −2.89376 1.85970i −0.177762 0.114241i
\(266\) 27.9895 + 24.2530i 1.71615 + 1.48705i
\(267\) 4.91899 2.99694i 0.301037 0.183410i
\(268\) 2.30704 0.331702i 0.140925 0.0202620i
\(269\) 18.8725 16.3531i 1.15068 0.997068i 0.150714 0.988577i \(-0.451843\pi\)
0.999964 0.00849034i \(-0.00270259\pi\)
\(270\) 5.07674 + 1.10755i 0.308961 + 0.0674036i
\(271\) −15.9704 + 4.68934i −0.970135 + 0.284857i −0.728146 0.685422i \(-0.759618\pi\)
−0.241989 + 0.970279i \(0.577800\pi\)
\(272\) −1.62463 + 3.55744i −0.0985077 + 0.215702i
\(273\) 21.8304 18.0174i 1.32123 1.09046i
\(274\) 0.632205 + 0.983730i 0.0381929 + 0.0594293i
\(275\) −4.77667 −0.288044
\(276\) 7.13651 + 4.25092i 0.429567 + 0.255875i
\(277\) −6.60732 −0.396996 −0.198498 0.980101i \(-0.563606\pi\)
−0.198498 + 0.980101i \(0.563606\pi\)
\(278\) −3.39113 5.27670i −0.203386 0.316475i
\(279\) −25.8844 1.24336i −1.54966 0.0744378i
\(280\) 1.83925 4.02740i 0.109916 0.240683i
\(281\) −23.7216 + 6.96529i −1.41511 + 0.415514i −0.897845 0.440311i \(-0.854868\pi\)
−0.517266 + 0.855825i \(0.673050\pi\)
\(282\) 0.109350 + 0.0349794i 0.00651170 + 0.00208299i
\(283\) −4.91723 + 4.26080i −0.292299 + 0.253278i −0.788649 0.614844i \(-0.789219\pi\)
0.496350 + 0.868123i \(0.334673\pi\)
\(284\) −12.5231 + 1.80055i −0.743109 + 0.106843i
\(285\) 7.53825 + 12.3728i 0.446527 + 0.732903i
\(286\) 13.3245 + 11.5457i 0.787894 + 0.682714i
\(287\) −19.4018 12.4688i −1.14525 0.736010i
\(288\) −2.66596 1.37574i −0.157093 0.0810663i
\(289\) 1.11665 1.28869i 0.0656855 0.0758051i
\(290\) 5.84874 + 1.71735i 0.343450 + 0.100846i
\(291\) −2.61536 + 3.86253i −0.153315 + 0.226426i
\(292\) −3.77352 4.35488i −0.220829 0.254850i
\(293\) −5.06014 11.0802i −0.295616 0.647309i 0.702297 0.711885i \(-0.252158\pi\)
−0.997913 + 0.0645751i \(0.979431\pi\)
\(294\) 19.6328 + 9.54186i 1.14501 + 0.556493i
\(295\) −3.90617 1.78389i −0.227426 0.103862i
\(296\) 1.34556 9.35856i 0.0782090 0.543955i
\(297\) −24.7560 1.78545i −1.43649 0.103602i
\(298\) 20.5554i 1.19074i
\(299\) 17.6718 1.02571i 1.02199 0.0593182i
\(300\) 1.16534 1.28140i 0.0672808 0.0739817i
\(301\) 14.7172 9.45815i 0.848284 0.545159i
\(302\) −19.4552 2.79724i −1.11952 0.160963i
\(303\) −18.3353 + 7.84733i −1.05334 + 0.450817i
\(304\) −2.35665 8.02601i −0.135163 0.460323i
\(305\) 4.38097 2.00072i 0.250854 0.114561i
\(306\) −8.48804 8.09979i −0.485229 0.463034i
\(307\) 0.661874 + 4.60343i 0.0377751 + 0.262732i 0.999953 0.00969003i \(-0.00308448\pi\)
−0.962178 + 0.272422i \(0.912175\pi\)
\(308\) −5.95829 + 20.2921i −0.339505 + 1.15625i
\(309\) −19.6355 + 2.34375i −1.11702 + 0.133331i
\(310\) −4.67010 + 7.26681i −0.265244 + 0.412727i
\(311\) −2.40384 + 3.74044i −0.136309 + 0.212101i −0.902697 0.430277i \(-0.858416\pi\)
0.766388 + 0.642378i \(0.222052\pi\)
\(312\) −6.34799 + 0.757713i −0.359384 + 0.0428971i
\(313\) −4.21347 + 14.3498i −0.238159 + 0.811097i 0.750493 + 0.660878i \(0.229816\pi\)
−0.988653 + 0.150219i \(0.952002\pi\)
\(314\) −0.454378 3.16027i −0.0256421 0.178344i
\(315\) 9.60937 + 9.16982i 0.541426 + 0.516661i
\(316\) −7.65351 + 3.49524i −0.430544 + 0.196623i
\(317\) 3.36704 + 11.4671i 0.189112 + 0.644057i 0.998395 + 0.0566373i \(0.0180379\pi\)
−0.809283 + 0.587419i \(0.800144\pi\)
\(318\) −5.47736 + 2.34425i −0.307155 + 0.131459i
\(319\) −28.8206 4.14377i −1.61364 0.232007i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) 7.82427 8.60354i 0.436708 0.480203i
\(322\) 9.92511 + 18.7712i 0.553105 + 1.04608i
\(323\) 32.7137i 1.82024i
\(324\) 6.51855 6.20552i 0.362142 0.344751i
\(325\) 0.525288 3.65346i 0.0291377 0.202657i
\(326\) 4.66595 + 2.13087i 0.258423 + 0.118018i
\(327\) 21.7959 + 10.5932i 1.20532 + 0.585803i
\(328\) 2.16391 + 4.73830i 0.119482 + 0.261629i
\(329\) 0.192186 + 0.221795i 0.0105956 + 0.0122279i
\(330\) −4.63869 + 6.85072i −0.255351 + 0.377120i
\(331\) 9.07319 + 2.66413i 0.498708 + 0.146434i 0.521406 0.853309i \(-0.325408\pi\)
−0.0226985 + 0.999742i \(0.507226\pi\)
\(332\) −2.01329 + 2.32346i −0.110493 + 0.127516i
\(333\) 25.2061 + 13.0074i 1.38129 + 0.712799i
\(334\) 9.13673 + 5.87182i 0.499939 + 0.321292i
\(335\) 1.76147 + 1.52633i 0.0962396 + 0.0833921i
\(336\) −3.98999 6.54893i −0.217672 0.357273i
\(337\) −0.117599 + 0.0169082i −0.00640603 + 0.000921048i −0.145517 0.989356i \(-0.546485\pi\)
0.139111 + 0.990277i \(0.455575\pi\)
\(338\) −0.471359 + 0.408435i −0.0256385 + 0.0222159i
\(339\) −3.74885 1.19920i −0.203610 0.0651316i
\(340\) −3.75244 + 1.10182i −0.203505 + 0.0597544i
\(341\) 17.1405 37.5326i 0.928213 2.03250i
\(342\) 25.0656 + 1.20403i 1.35539 + 0.0651063i
\(343\) 13.4115 + 20.8687i 0.724151 + 1.12680i
\(344\) −3.95128 −0.213039
\(345\) 1.46079 + 8.17717i 0.0786462 + 0.440244i
\(346\) 10.1623 0.546327
\(347\) −0.981373 1.52705i −0.0526829 0.0819761i 0.813913 0.580987i \(-0.197333\pi\)
−0.866596 + 0.499011i \(0.833697\pi\)
\(348\) 8.14281 6.72055i 0.436501 0.360259i
\(349\) 9.22421 20.1982i 0.493761 1.08118i −0.484687 0.874688i \(-0.661066\pi\)
0.978447 0.206497i \(-0.0662063\pi\)
\(350\) 4.24816 1.24737i 0.227074 0.0666749i
\(351\) 4.08801 18.7384i 0.218202 1.00018i
\(352\) 3.60997 3.12805i 0.192412 0.166726i
\(353\) 4.69383 0.674871i 0.249827 0.0359198i −0.0162633 0.999868i \(-0.505177\pi\)
0.266091 + 0.963948i \(0.414268\pi\)
\(354\) −6.35179 + 3.86989i −0.337594 + 0.205682i
\(355\) −9.56165 8.28522i −0.507480 0.439734i
\(356\) −2.79764 1.79793i −0.148275 0.0952903i
\(357\) −7.75650 28.9707i −0.410517 1.53329i
\(358\) −8.29837 + 9.57683i −0.438583 + 0.506151i
\(359\) −28.3666 8.32920i −1.49713 0.439598i −0.572324 0.820027i \(-0.693958\pi\)
−0.924810 + 0.380429i \(0.875776\pi\)
\(360\) −0.706116 2.91572i −0.0372156 0.153672i
\(361\) 33.3787 + 38.5210i 1.75677 + 2.02742i
\(362\) −8.05614 17.6405i −0.423421 0.927163i
\(363\) 8.94658 18.4080i 0.469574 0.966169i
\(364\) −14.8653 6.78874i −0.779152 0.355827i
\(365\) 0.820065 5.70368i 0.0429242 0.298544i
\(366\) 1.38498 8.22613i 0.0723939 0.429987i
\(367\) 10.3230i 0.538857i −0.963020 0.269429i \(-0.913165\pi\)
0.963020 0.269429i \(-0.0868348\pi\)
\(368\) 0.406308 4.77859i 0.0211803 0.249101i
\(369\) −15.5569 + 1.47925i −0.809860 + 0.0770069i
\(370\) 7.95388 5.11165i 0.413503 0.265742i
\(371\) −15.0748 2.16743i −0.782644 0.112527i
\(372\) 5.88689 + 13.7548i 0.305221 + 0.713151i
\(373\) 8.52431 + 29.0311i 0.441372 + 1.50318i 0.817128 + 0.576457i \(0.195565\pi\)
−0.375755 + 0.926719i \(0.622617\pi\)
\(374\) 16.9927 7.76032i 0.878673 0.401277i
\(375\) 1.73155 + 0.0415636i 0.0894170 + 0.00214633i
\(376\) −0.00943331 0.0656101i −0.000486486 0.00338358i
\(377\) 6.33877 21.5879i 0.326463 1.11183i
\(378\) 22.4832 4.87685i 1.15641 0.250838i
\(379\) −8.90953 + 13.8635i −0.457652 + 0.712120i −0.991013 0.133768i \(-0.957292\pi\)
0.533361 + 0.845888i \(0.320929\pi\)
\(380\) 4.52238 7.03695i 0.231993 0.360988i
\(381\) −0.682591 5.71863i −0.0349702 0.292974i
\(382\) −1.70384 + 5.80273i −0.0871758 + 0.296894i
\(383\) 0.0385631 + 0.268212i 0.00197048 + 0.0137050i 0.990783 0.135459i \(-0.0432509\pi\)
−0.988812 + 0.149164i \(0.952342\pi\)
\(384\) −0.0415636 + 1.73155i −0.00212103 + 0.0883629i
\(385\) −19.2376 + 8.78551i −0.980438 + 0.447751i
\(386\) −6.27643 21.3756i −0.319462 1.08799i
\(387\) 3.88147 11.2003i 0.197306 0.569346i
\(388\) 2.66574 + 0.383276i 0.135333 + 0.0194579i
\(389\) 2.22974 1.43297i 0.113052 0.0726543i −0.482893 0.875679i \(-0.660414\pi\)
0.595945 + 0.803025i \(0.296778\pi\)
\(390\) −4.72969 4.30129i −0.239497 0.217804i
\(391\) 6.78977 17.4837i 0.343374 0.884189i
\(392\) 12.6028i 0.636539i
\(393\) −5.47767 0.922237i −0.276312 0.0465207i
\(394\) 3.71979 25.8717i 0.187400 1.30340i
\(395\) −7.65351 3.49524i −0.385090 0.175865i
\(396\) 5.32063 + 13.3056i 0.267372 + 0.668634i
\(397\) 2.33125 + 5.10473i 0.117002 + 0.256199i 0.959068 0.283176i \(-0.0913879\pi\)
−0.842066 + 0.539375i \(0.818661\pi\)
\(398\) 0.433156 + 0.499889i 0.0217121 + 0.0250571i
\(399\) 53.1163 + 35.9656i 2.65914 + 1.80053i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) 14.2984 16.5012i 0.714026 0.824030i −0.276549 0.961000i \(-0.589191\pi\)
0.990575 + 0.136970i \(0.0437364\pi\)
\(402\) 3.89965 1.04408i 0.194497 0.0520738i
\(403\) 26.8220 + 17.2375i 1.33610 + 0.858659i
\(404\) 8.70223 + 7.54053i 0.432952 + 0.375155i
\(405\) 8.95856 + 0.862639i 0.445155 + 0.0428649i
\(406\) 26.7139 3.84088i 1.32579 0.190619i
\(407\) −34.1315 + 29.5751i −1.69184 + 1.46598i
\(408\) −2.06382 + 6.45175i −0.102174 + 0.319409i
\(409\) 15.9245 4.67584i 0.787414 0.231206i 0.136784 0.990601i \(-0.456323\pi\)
0.650630 + 0.759395i \(0.274505\pi\)
\(410\) −2.16391 + 4.73830i −0.106868 + 0.234008i
\(411\) 1.28924 + 1.56208i 0.0635934 + 0.0770516i
\(412\) 6.17251 + 9.60462i 0.304098 + 0.473185i
\(413\) −19.0128 −0.935557
\(414\) 13.1463 + 5.84589i 0.646106 + 0.287310i
\(415\) −3.07437 −0.150915
\(416\) 1.99552 + 3.10509i 0.0978385 + 0.152240i
\(417\) −6.91544 8.37894i −0.338650 0.410319i
\(418\) −16.5984 + 36.3454i −0.811853 + 1.77771i
\(419\) 0.0533779 0.0156732i 0.00260768 0.000765685i −0.280428 0.959875i \(-0.590477\pi\)
0.283036 + 0.959109i \(0.408658\pi\)
\(420\) 2.33646 7.30407i 0.114008 0.356402i
\(421\) −2.82063 + 2.44409i −0.137469 + 0.119118i −0.720881 0.693058i \(-0.756263\pi\)
0.583412 + 0.812176i \(0.301717\pi\)
\(422\) 2.66954 0.383822i 0.129951 0.0186842i
\(423\) 0.195246 + 0.0377112i 0.00949317 + 0.00183358i
\(424\) 2.59964 + 2.25260i 0.126250 + 0.109396i
\(425\) −3.29002 2.11437i −0.159590 0.102562i
\(426\) −21.1681 + 5.66747i −1.02560 + 0.274590i
\(427\) 13.9641 16.1154i 0.675771 0.779881i
\(428\) −6.44220 1.89160i −0.311395 0.0914339i
\(429\) 25.2862 + 17.1215i 1.22083 + 0.826636i
\(430\) −2.58754 2.98618i −0.124782 0.144006i
\(431\) −5.29696 11.5987i −0.255146 0.558691i 0.738104 0.674687i \(-0.235721\pi\)
−0.993250 + 0.115996i \(0.962994\pi\)
\(432\) −4.86745 1.81878i −0.234185 0.0875059i
\(433\) −33.4453 15.2739i −1.60728 0.734019i −0.609027 0.793150i \(-0.708440\pi\)
−0.998250 + 0.0591308i \(0.981167\pi\)
\(434\) −5.44286 + 37.8559i −0.261265 + 1.81714i
\(435\) 10.4115 + 1.75290i 0.499191 + 0.0840453i
\(436\) 13.9914i 0.670066i
\(437\) 13.5135 + 37.7718i 0.646437 + 1.80687i
\(438\) −7.38386 6.71506i −0.352814 0.320858i
\(439\) 5.73323 3.68452i 0.273632 0.175853i −0.396627 0.917980i \(-0.629819\pi\)
0.670259 + 0.742127i \(0.266183\pi\)
\(440\) 4.72805 + 0.679791i 0.225401 + 0.0324078i
\(441\) 35.7242 + 12.3802i 1.70115 + 0.589532i
\(442\) 4.06684 + 13.8504i 0.193440 + 0.658795i
\(443\) −6.21590 + 2.83871i −0.295326 + 0.134871i −0.557568 0.830131i \(-0.688265\pi\)
0.262242 + 0.965002i \(0.415538\pi\)
\(444\) 0.392975 16.3715i 0.0186498 0.776956i
\(445\) −0.473277 3.29171i −0.0224355 0.156042i
\(446\) −2.59390 + 8.83401i −0.122825 + 0.418303i
\(447\) −4.21971 35.3520i −0.199585 1.67209i
\(448\) −2.39369 + 3.72466i −0.113091 + 0.175974i
\(449\) −13.2326 + 20.5903i −0.624486 + 0.971719i 0.374524 + 0.927217i \(0.377806\pi\)
−0.999009 + 0.0445013i \(0.985830\pi\)
\(450\) 1.74114 2.44303i 0.0820783 0.115166i
\(451\) 7.01002 23.8739i 0.330089 1.12418i
\(452\) 0.323402 + 2.24931i 0.0152116 + 0.105799i
\(453\) −34.0341 0.816943i −1.59906 0.0383833i
\(454\) 5.23026 2.38858i 0.245468 0.112102i
\(455\) −4.60409 15.6801i −0.215843 0.735094i
\(456\) −5.70068 13.3197i −0.266959 0.623751i
\(457\) 38.6935 + 5.56329i 1.81001 + 0.260240i 0.962643 0.270773i \(-0.0872792\pi\)
0.847364 + 0.531012i \(0.178188\pi\)
\(458\) −21.4348 + 13.7753i −1.00158 + 0.643679i
\(459\) −16.2609 12.1879i −0.758992 0.568882i
\(460\) 3.87749 2.82224i 0.180789 0.131588i
\(461\) 0.0121818i 0.000567362i 1.00000 0.000283681i \(9.02985e-5\pi\)
−1.00000 0.000283681i \(0.999910\pi\)
\(462\) −6.08166 + 36.1223i −0.282945 + 1.68056i
\(463\) −4.19564 + 29.1813i −0.194988 + 1.35617i 0.623579 + 0.781760i \(0.285678\pi\)
−0.818567 + 0.574411i \(0.805231\pi\)
\(464\) −5.54481 2.53223i −0.257411 0.117556i
\(465\) −6.54006 + 13.4565i −0.303288 + 0.624029i
\(466\) −8.47707 18.5622i −0.392693 0.859877i
\(467\) −17.1520 19.7945i −0.793701 0.915980i 0.204317 0.978905i \(-0.434503\pi\)
−0.998018 + 0.0629249i \(0.979957\pi\)
\(468\) −10.7620 + 2.60629i −0.497473 + 0.120476i
\(469\) 9.90147 + 2.90733i 0.457207 + 0.134248i
\(470\) 0.0434073 0.0500947i 0.00200223 0.00231070i
\(471\) −1.43022 5.34189i −0.0659009 0.246141i
\(472\) 3.61254 + 2.32164i 0.166281 + 0.106862i
\(473\) 14.2640 + 12.3598i 0.655859 + 0.568305i
\(474\) −12.4453 + 7.58241i −0.571632 + 0.348272i
\(475\) 8.27970 1.19044i 0.379899 0.0546212i
\(476\) −13.0861 + 11.3392i −0.599800 + 0.519729i
\(477\) −8.93896 + 5.15616i −0.409287 + 0.236085i
\(478\) −14.4602 + 4.24591i −0.661396 + 0.194203i
\(479\) 17.7430 38.8517i 0.810698 1.77518i 0.206318 0.978485i \(-0.433852\pi\)
0.604380 0.796696i \(-0.293421\pi\)
\(480\) −1.33584 + 1.10251i −0.0609724 + 0.0503226i
\(481\) −18.8673 29.3580i −0.860273 1.33861i
\(482\) 3.63980 0.165788
\(483\) 20.9231 + 30.2460i 0.952033 + 1.37624i
\(484\) −11.8166 −0.537118
\(485\) 1.45603 + 2.26563i 0.0661149 + 0.102877i
\(486\) 9.93698 12.0107i 0.450751 0.544816i
\(487\) −1.01829 + 2.22973i −0.0461429 + 0.101039i −0.931299 0.364254i \(-0.881324\pi\)
0.885157 + 0.465293i \(0.154051\pi\)
\(488\) −4.62111 + 1.35688i −0.209188 + 0.0614231i
\(489\) 8.46214 + 2.70691i 0.382671 + 0.122411i
\(490\) 9.52459 8.25310i 0.430277 0.372837i
\(491\) −16.2269 + 2.33308i −0.732309 + 0.105290i −0.498374 0.866962i \(-0.666069\pi\)
−0.233935 + 0.972252i \(0.575160\pi\)
\(492\) 4.69428 + 7.70491i 0.211635 + 0.347364i
\(493\) −18.0165 15.6114i −0.811423 0.703102i
\(494\) −25.9736 16.6922i −1.16861 0.751019i
\(495\) −6.57146 + 12.7344i −0.295365 + 0.572369i
\(496\) 5.65674 6.52822i 0.253995 0.293126i
\(497\) −53.7472 15.7816i −2.41089 0.707902i
\(498\) −2.98556 + 4.40928i −0.133786 + 0.197584i
\(499\) −3.56343 4.11242i −0.159521 0.184097i 0.670362 0.742034i \(-0.266139\pi\)
−0.829884 + 0.557937i \(0.811593\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) 16.9191 + 8.22297i 0.755891 + 0.367375i
\(502\) 9.53399 + 4.35403i 0.425523 + 0.194330i
\(503\) 2.03798 14.1744i 0.0908689 0.632007i −0.892589 0.450871i \(-0.851113\pi\)
0.983458 0.181136i \(-0.0579775\pi\)
\(504\) −8.20656 10.4440i −0.365549 0.465215i
\(505\) 11.5147i 0.512398i
\(506\) −16.4144 + 15.9796i −0.729711 + 0.710380i
\(507\) −0.726817 + 0.799206i −0.0322791 + 0.0354940i
\(508\) −2.79724 + 1.79768i −0.124108 + 0.0797591i
\(509\) 34.7226 + 4.99236i 1.53905 + 0.221282i 0.859036 0.511915i \(-0.171064\pi\)
0.680016 + 0.733197i \(0.261973\pi\)
\(510\) −6.22742 + 2.66527i −0.275755 + 0.118020i
\(511\) −7.18778 24.4793i −0.317969 1.08290i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) 43.3561 3.07486i 1.91422 0.135759i
\(514\) −1.47562 10.2632i −0.0650869 0.452690i
\(515\) −3.21655 + 10.9546i −0.141738 + 0.482716i
\(516\) −6.79558 + 0.811139i −0.299159 + 0.0357084i
\(517\) −0.171178 + 0.266358i −0.00752840 + 0.0117144i
\(518\) 22.6319 35.2159i 0.994388 1.54730i
\(519\) 17.4775 2.08616i 0.767177 0.0915723i
\(520\) −1.03988 + 3.54152i −0.0456019 + 0.155306i
\(521\) 4.40391 + 30.6298i 0.192939 + 1.34192i 0.824178 + 0.566330i \(0.191637\pi\)
−0.631240 + 0.775588i \(0.717454\pi\)
\(522\) 12.6247 13.2299i 0.552569 0.579056i
\(523\) 0.0374930 0.0171225i 0.00163946 0.000748715i −0.414595 0.910006i \(-0.636077\pi\)
0.416235 + 0.909257i \(0.363350\pi\)
\(524\) 0.903529 + 3.07714i 0.0394708 + 0.134425i
\(525\) 7.05011 3.01737i 0.307692 0.131689i
\(526\) −16.0308 2.30488i −0.698976 0.100498i
\(527\) 28.4195 18.2641i 1.23797 0.795596i
\(528\) 5.56643 6.12083i 0.242248 0.266375i
\(529\) −0.617379 + 22.9917i −0.0268426 + 0.999640i
\(530\) 3.43982i 0.149416i
\(531\) −10.1297 + 7.95952i −0.439590 + 0.345414i
\(532\) 5.27069 36.6585i 0.228513 1.58935i
\(533\) 17.4892 + 7.98705i 0.757541 + 0.345957i
\(534\) −5.18059 2.51785i −0.224186 0.108958i
\(535\) −2.78917 6.10742i −0.120586 0.264047i
\(536\) −1.52633 1.76147i −0.0659273 0.0760841i
\(537\) −12.3059 + 18.1742i −0.531039 + 0.784273i
\(538\) −23.9604 7.03540i −1.03301 0.303318i
\(539\) −39.4224 + 45.4958i −1.69804 + 1.95964i
\(540\) −1.81296 4.86962i −0.0780174 0.209555i
\(541\) 3.75537 + 2.41343i 0.161456 + 0.103762i 0.618874 0.785490i \(-0.287589\pi\)
−0.457418 + 0.889252i \(0.651226\pi\)
\(542\) 12.5792 + 10.8999i 0.540323 + 0.468192i
\(543\) −17.4766 28.6850i −0.749993 1.23099i
\(544\) 3.87105 0.556573i 0.165970 0.0238629i
\(545\) 10.5740 9.16241i 0.452940 0.392474i
\(546\) −26.9595 8.62395i −1.15376 0.369071i
\(547\) −39.4402 + 11.5807i −1.68634 + 0.495154i −0.977628 0.210343i \(-0.932542\pi\)
−0.708712 + 0.705497i \(0.750724\pi\)
\(548\) 0.485771 1.06369i 0.0207511 0.0454386i
\(549\) 0.693239 14.4320i 0.0295867 0.615941i
\(550\) 2.58246 + 4.01839i 0.110117 + 0.171345i
\(551\) 50.9892 2.17221
\(552\) −0.282187 8.30183i −0.0120107 0.353349i
\(553\) −37.2524 −1.58413
\(554\) 3.57219 + 5.55844i 0.151768 + 0.236155i
\(555\) 12.6301 10.4240i 0.536117 0.442476i
\(556\) −2.60566 + 5.70560i −0.110505 + 0.241971i
\(557\) −37.0014 + 10.8646i −1.56780 + 0.460348i −0.946360 0.323113i \(-0.895271\pi\)
−0.621441 + 0.783461i \(0.713452\pi\)
\(558\) 12.9482 + 22.4475i 0.548140 + 0.950280i
\(559\) −11.0221 + 9.55068i −0.466184 + 0.403951i
\(560\) −4.38244 + 0.630100i −0.185192 + 0.0266266i
\(561\) 27.6318 16.8349i 1.16661 0.710769i
\(562\) 18.6844 + 16.1901i 0.788155 + 0.682940i
\(563\) −6.04857 3.88718i −0.254917 0.163825i 0.406941 0.913454i \(-0.366595\pi\)
−0.661858 + 0.749629i \(0.730232\pi\)
\(564\) −0.0296926 0.110902i −0.00125028 0.00466984i
\(565\) −1.48813 + 1.71740i −0.0626062 + 0.0722514i
\(566\) 6.24287 + 1.83307i 0.262407 + 0.0770498i
\(567\) 37.6664 13.0029i 1.58184 0.546069i
\(568\) 8.28522 + 9.56165i 0.347640 + 0.401198i
\(569\) 6.54702 + 14.3360i 0.274465 + 0.600995i 0.995796 0.0915953i \(-0.0291966\pi\)
−0.721331 + 0.692590i \(0.756469\pi\)
\(570\) 6.33319 13.0308i 0.265268 0.545801i
\(571\) −31.8419 14.5417i −1.33254 0.608552i −0.383454 0.923560i \(-0.625265\pi\)
−0.949089 + 0.315008i \(0.897993\pi\)
\(572\) 2.50913 17.4514i 0.104912 0.729679i
\(573\) −1.73911 + 10.3296i −0.0726526 + 0.431523i
\(574\) 23.0630i 0.962632i
\(575\) 4.67213 + 1.08224i 0.194841 + 0.0451324i
\(576\) 0.283979 + 2.98653i 0.0118325 + 0.124439i
\(577\) −5.72621 + 3.68001i −0.238385 + 0.153201i −0.654379 0.756166i \(-0.727070\pi\)
0.415994 + 0.909367i \(0.363434\pi\)
\(578\) −1.68782 0.242672i −0.0702041 0.0100938i
\(579\) −15.1826 35.4741i −0.630965 1.47425i
\(580\) −1.71735 5.84874i −0.0713089 0.242856i
\(581\) −12.3817 + 5.65455i −0.513681 + 0.234590i
\(582\) 4.66334 + 0.111937i 0.193302 + 0.00463995i
\(583\) −2.33836 16.2636i −0.0968448 0.673571i
\(584\) −1.62344 + 5.52892i −0.0671783 + 0.228788i
\(585\) −9.01731 6.42661i −0.372820 0.265708i
\(586\) −6.58550 + 10.2472i −0.272045 + 0.423310i
\(587\) −7.45676 + 11.6030i −0.307774 + 0.478905i −0.960342 0.278825i \(-0.910055\pi\)
0.652568 + 0.757730i \(0.273692\pi\)
\(588\) −2.58717 21.6749i −0.106693 0.893858i
\(589\) −20.3569 + 69.3293i −0.838792 + 2.85666i
\(590\) 0.611133 + 4.25052i 0.0251600 + 0.174991i
\(591\) 1.08638 45.2589i 0.0446876 1.86170i
\(592\) −8.60039 + 3.92767i −0.353474 + 0.161426i
\(593\) 3.30287 + 11.2485i 0.135633 + 0.461922i 0.999097 0.0424876i \(-0.0135283\pi\)
−0.863464 + 0.504410i \(0.831710\pi\)
\(594\) 11.8821 + 21.7914i 0.487528 + 0.894111i
\(595\) −17.1391 2.46423i −0.702635 0.101024i
\(596\) −17.2923 + 11.1131i −0.708319 + 0.455209i
\(597\) 0.847580 + 0.770809i 0.0346891 + 0.0315471i
\(598\) −10.4170 14.3119i −0.425982 0.585259i
\(599\) 33.1417i 1.35413i 0.735921 + 0.677067i \(0.236749\pi\)
−0.735921 + 0.677067i \(0.763251\pi\)
\(600\) −1.70801 0.287566i −0.0697293 0.0117398i
\(601\) 2.61992 18.2219i 0.106869 0.743288i −0.863968 0.503547i \(-0.832028\pi\)
0.970837 0.239741i \(-0.0770627\pi\)
\(602\) −15.9134 7.26741i −0.648582 0.296198i
\(603\) 6.49246 2.59619i 0.264393 0.105725i
\(604\) 8.16509 + 17.8791i 0.332233 + 0.727489i
\(605\) −7.73822 8.93038i −0.314603 0.363072i
\(606\) 16.5144 + 11.1821i 0.670853 + 0.454241i
\(607\) 5.71059 + 1.67678i 0.231786 + 0.0680584i 0.395563 0.918439i \(-0.370550\pi\)
−0.163777 + 0.986497i \(0.552368\pi\)
\(608\) −5.47781 + 6.32173i −0.222154 + 0.256380i
\(609\) 45.1552 12.0897i 1.82978 0.489898i
\(610\) −4.05165 2.60384i −0.164046 0.105426i
\(611\) −0.184901 0.160218i −0.00748029 0.00648171i
\(612\) −2.22499 + 11.5197i −0.0899400 + 0.465655i
\(613\) −34.1414 + 4.90879i −1.37896 + 0.198264i −0.791588 0.611055i \(-0.790746\pi\)
−0.587370 + 0.809319i \(0.699836\pi\)
\(614\) 3.51482 3.04561i 0.141847 0.122911i
\(615\) −2.74888 + 8.59334i −0.110845 + 0.346517i
\(616\) 20.2921 5.95829i 0.817591 0.240066i
\(617\) 4.93863 10.8141i 0.198822 0.435359i −0.783791 0.621024i \(-0.786717\pi\)
0.982613 + 0.185666i \(0.0594441\pi\)
\(618\) 12.5874 + 15.2513i 0.506341 + 0.613497i
\(619\) 21.3625 + 33.2407i 0.858631 + 1.33606i 0.940633 + 0.339424i \(0.110232\pi\)
−0.0820023 + 0.996632i \(0.526131\pi\)
\(620\) 8.63808 0.346914
\(621\) 23.8097 + 7.35527i 0.955449 + 0.295157i
\(622\) 4.44627 0.178279
\(623\) −7.96037 12.3866i −0.318925 0.496258i
\(624\) 4.06941 + 4.93062i 0.162907 + 0.197383i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) 14.3498 4.21347i 0.573532 0.168404i
\(627\) −21.0854 + 65.9157i −0.842071 + 2.63242i
\(628\) −2.41293 + 2.09082i −0.0962865 + 0.0834328i
\(629\) −36.6000 + 5.26229i −1.45934 + 0.209821i
\(630\) 2.51893 13.0415i 0.100356 0.519586i
\(631\) 34.9946 + 30.3230i 1.39311 + 1.20714i 0.950616 + 0.310368i \(0.100452\pi\)
0.442496 + 0.896770i \(0.354093\pi\)
\(632\) 7.07818 + 4.54887i 0.281555 + 0.180944i
\(633\) 4.51240 1.20813i 0.179352 0.0480189i
\(634\) 7.82638 9.03212i 0.310825 0.358711i
\(635\) −3.19040 0.936785i −0.126607 0.0371752i
\(636\) 4.93339 + 3.34045i 0.195622 + 0.132457i
\(637\) −30.4624 35.1555i −1.20697 1.39291i
\(638\) 12.0956 + 26.4857i 0.478870 + 1.04858i
\(639\) −35.2424 + 14.0927i −1.39417 + 0.557497i
\(640\) 0.909632 + 0.415415i 0.0359564 + 0.0164207i
\(641\) −1.08397 + 7.53918i −0.0428142 + 0.297780i 0.957152 + 0.289585i \(0.0935174\pi\)
−0.999966 + 0.00819424i \(0.997392\pi\)
\(642\) −11.4679 1.93077i −0.452601 0.0762013i
\(643\) 0.303528i 0.0119700i −0.999982 0.00598498i \(-0.998095\pi\)
0.999982 0.00598498i \(-0.00190509\pi\)
\(644\) 10.4254 18.4980i 0.410818 0.728924i
\(645\) −5.06318 4.60458i −0.199362 0.181305i
\(646\) −27.5205 + 17.6864i −1.08278 + 0.695861i
\(647\) −6.55693 0.942744i −0.257780 0.0370631i 0.0122134 0.999925i \(-0.496112\pi\)
−0.269993 + 0.962862i \(0.587021\pi\)
\(648\) −8.74461 2.12880i −0.343521 0.0836270i
\(649\) −5.77894 19.6813i −0.226843 0.772557i
\(650\) −3.35748 + 1.53331i −0.131691 + 0.0601413i
\(651\) −1.58961 + 66.2235i −0.0623016 + 2.59550i
\(652\) −0.730003 5.07729i −0.0285891 0.198842i
\(653\) −0.685145 + 2.33339i −0.0268118 + 0.0913126i −0.971812 0.235757i \(-0.924243\pi\)
0.945000 + 0.327070i \(0.106061\pi\)
\(654\) −2.87222 24.0630i −0.112313 0.940937i
\(655\) −1.73386 + 2.69794i −0.0677475 + 0.105417i
\(656\) 2.81621 4.38211i 0.109955 0.171093i
\(657\) −14.0776 10.0330i −0.549218 0.391426i
\(658\) 0.0826819 0.281589i 0.00322327 0.0109775i
\(659\) 1.26870 + 8.82397i 0.0494214 + 0.343733i 0.999497 + 0.0317135i \(0.0100964\pi\)
−0.950076 + 0.312020i \(0.898995\pi\)
\(660\) 8.27106 + 0.198535i 0.321950 + 0.00772798i
\(661\) 5.07453 2.31746i 0.197376 0.0901387i −0.314275 0.949332i \(-0.601761\pi\)
0.511651 + 0.859193i \(0.329034\pi\)
\(662\) −2.66413 9.07319i −0.103544 0.352640i
\(663\) 9.83759 + 22.9856i 0.382060 + 0.892687i
\(664\) 3.04308 + 0.437529i 0.118094 + 0.0169794i
\(665\) 31.1562 20.0229i 1.20818 0.776453i
\(666\) −2.68496 28.2370i −0.104040 1.09416i
\(667\) 27.2510 + 10.5829i 1.05516 + 0.409771i
\(668\) 10.8608i 0.420219i
\(669\) −2.64761 + 15.7256i −0.102362 + 0.607987i
\(670\) 0.331702 2.30704i 0.0128148 0.0891288i
\(671\) 20.9265 + 9.55680i 0.807857 + 0.368936i
\(672\) −3.35216 + 6.89721i −0.129312 + 0.266066i
\(673\) −13.1018 28.6890i −0.505038 1.10588i −0.974799 0.223085i \(-0.928387\pi\)
0.469761 0.882794i \(-0.344340\pi\)
\(674\) 0.0778030 + 0.0897894i 0.00299686 + 0.00345856i
\(675\) 2.49297 4.55907i 0.0959546 0.175479i
\(676\) 0.598433 + 0.175716i 0.0230166 + 0.00675830i
\(677\) −10.7948 + 12.4579i −0.414880 + 0.478797i −0.924270 0.381739i \(-0.875325\pi\)
0.509391 + 0.860535i \(0.329871\pi\)
\(678\) 1.01795 + 3.80207i 0.0390942 + 0.146018i
\(679\) 10.0311 + 6.44659i 0.384958 + 0.247397i
\(680\) 2.95563 + 2.56107i 0.113343 + 0.0982125i
\(681\) 8.50488 5.18167i 0.325908 0.198562i
\(682\) −40.8413 + 5.87209i −1.56389 + 0.224854i
\(683\) 19.5543 16.9439i 0.748226 0.648342i −0.194882 0.980827i \(-0.562432\pi\)
0.943109 + 0.332485i \(0.107887\pi\)
\(684\) −12.5386 21.7375i −0.479426 0.831154i
\(685\) 1.12199 0.329447i 0.0428692 0.0125875i
\(686\) 10.3050 22.5649i 0.393448 0.861532i
\(687\) −34.0367 + 28.0917i −1.29858 + 1.07176i
\(688\) 2.13622 + 3.32403i 0.0814428 + 0.126727i
\(689\) 12.6965 0.483697
\(690\) 6.08931 5.64981i 0.231816 0.215084i
\(691\) −43.0325 −1.63703 −0.818517 0.574482i \(-0.805203\pi\)
−0.818517 + 0.574482i \(0.805203\pi\)
\(692\) −5.49413 8.54904i −0.208856 0.324986i
\(693\) −3.04413 + 63.3732i −0.115637 + 2.40735i
\(694\) −0.754063 + 1.65117i −0.0286238 + 0.0626774i
\(695\) −6.01835 + 1.76715i −0.228289 + 0.0670317i
\(696\) −10.0560 3.21677i −0.381172 0.121931i
\(697\) 15.3960 13.3407i 0.583163 0.505314i
\(698\) −21.9788 + 3.16007i −0.831909 + 0.119611i
\(699\) −18.3898 30.1838i −0.695565 1.14166i
\(700\) −3.34609 2.89940i −0.126470 0.109587i
\(701\) −25.0258 16.0831i −0.945211 0.607450i −0.0253434 0.999679i \(-0.508068\pi\)
−0.919868 + 0.392228i \(0.871704\pi\)
\(702\) −17.9739 + 6.69169i −0.678381 + 0.252562i
\(703\) 51.7916 59.7707i 1.95336 2.25429i
\(704\) −4.58318 1.34574i −0.172735 0.0507196i
\(705\) 0.0643700 0.0950658i 0.00242431 0.00358039i
\(706\) −3.10541 3.58384i −0.116874 0.134880i
\(707\) 21.1785 + 46.3744i 0.796498 + 1.74409i
\(708\) 6.68960 + 3.25125i 0.251410 + 0.122189i
\(709\) 29.5085 + 13.4761i 1.10822 + 0.506105i 0.883553 0.468331i \(-0.155145\pi\)
0.224663 + 0.974436i \(0.427872\pi\)
\(710\) −1.80055 + 12.5231i −0.0675734 + 0.469984i
\(711\) −19.8474 + 15.5954i −0.744336 + 0.584873i
\(712\) 3.32556i 0.124631i
\(713\) −25.2690 + 32.8276i −0.946333 + 1.22940i
\(714\) −20.1782 + 22.1879i −0.755152 + 0.830363i
\(715\) 14.8320 9.53195i 0.554685 0.356475i
\(716\) 12.5430 + 1.80341i 0.468753 + 0.0673965i
\(717\) −23.9977 + 10.2708i −0.896211 + 0.383569i
\(718\) 8.32920 + 28.3666i 0.310843 + 1.05863i
\(719\) 2.49705 1.14037i 0.0931244 0.0425285i −0.368308 0.929704i \(-0.620063\pi\)
0.461433 + 0.887175i \(0.347336\pi\)
\(720\) −2.07110 + 2.17038i −0.0771854 + 0.0808852i
\(721\) 7.19387 + 50.0345i 0.267914 + 1.86338i
\(722\) 14.3601 48.9060i 0.534427 1.82009i
\(723\) 6.25989 0.747197i 0.232808 0.0277886i
\(724\) −10.4846 + 16.3144i −0.389659 + 0.606321i
\(725\) 3.29556 5.12799i 0.122394 0.190449i
\(726\) −20.3227 + 2.42577i −0.754245 + 0.0900287i
\(727\) −6.50772 + 22.1633i −0.241358 + 0.821990i 0.746333 + 0.665573i \(0.231813\pi\)
−0.987691 + 0.156417i \(0.950005\pi\)
\(728\) 2.32572 + 16.1757i 0.0861969 + 0.599512i
\(729\) 14.6244 22.6964i 0.541645 0.840607i
\(730\) −5.24160 + 2.39376i −0.194000 + 0.0885970i
\(731\) 4.35359 + 14.8270i 0.161023 + 0.548395i
\(732\) −7.66904 + 3.28227i −0.283456 + 0.121316i
\(733\) 6.48711 + 0.932706i 0.239607 + 0.0344503i 0.261072 0.965319i \(-0.415924\pi\)
−0.0214651 + 0.999770i \(0.506833\pi\)
\(734\) −8.68428 + 5.58105i −0.320542 + 0.206000i
\(735\) 14.6866 16.1493i 0.541722 0.595676i
\(736\) −4.23967 + 2.24169i −0.156276 + 0.0826299i
\(737\) 11.1333i 0.410100i
\(738\) 9.65513 + 12.2876i 0.355410 + 0.452311i
\(739\) 7.58290 52.7402i 0.278941 1.94008i −0.0574286 0.998350i \(-0.518290\pi\)
0.336370 0.941730i \(-0.390801\pi\)
\(740\) −8.60039 3.92767i −0.316157 0.144384i
\(741\) −48.0972 23.3760i −1.76689 0.858739i
\(742\) 6.32669 + 13.8535i 0.232260 + 0.508579i
\(743\) 16.2809 + 18.7892i 0.597290 + 0.689309i 0.971230 0.238144i \(-0.0765390\pi\)
−0.373940 + 0.927453i \(0.621994\pi\)
\(744\) 8.38855 12.3888i 0.307539 0.454194i
\(745\) −19.7227 5.79111i −0.722584 0.212170i
\(746\) 19.8140 22.8665i 0.725441 0.837203i
\(747\) −4.22954 + 8.19615i −0.154751 + 0.299881i
\(748\) −15.7154 10.0997i −0.574611 0.369280i
\(749\) −22.4662 19.4671i −0.820897 0.711311i
\(750\) −0.901182 1.47915i −0.0329065 0.0540107i
\(751\) 16.3776 2.35475i 0.597628 0.0859260i 0.163139 0.986603i \(-0.447838\pi\)
0.434489 + 0.900677i \(0.356929\pi\)
\(752\) −0.0500947 + 0.0434073i −0.00182677 + 0.00158290i
\(753\) 17.2908 + 5.53105i 0.630111 + 0.201563i
\(754\) −21.5879 + 6.33877i −0.786184 + 0.230844i
\(755\) −8.16509 + 17.8791i −0.297158 + 0.650686i
\(756\) −16.2580 16.2774i −0.591297 0.592004i
\(757\) 17.6980 + 27.5387i 0.643246 + 1.00091i 0.997827 + 0.0658849i \(0.0209870\pi\)
−0.354581 + 0.935025i \(0.615377\pi\)
\(758\) 16.4796 0.598565
\(759\) −24.9499 + 30.8520i −0.905624 + 1.11986i
\(760\) −8.36484 −0.303425
\(761\) 13.0560 + 20.3156i 0.473280 + 0.736438i 0.993028 0.117882i \(-0.0376103\pi\)
−0.519747 + 0.854320i \(0.673974\pi\)
\(762\) −4.44178 + 3.66595i −0.160909 + 0.132804i
\(763\) 25.7337 56.3489i 0.931622 2.03997i
\(764\) 5.80273 1.70384i 0.209935 0.0616426i
\(765\) −10.1630 + 5.86224i −0.367446 + 0.211950i
\(766\) 0.204786 0.177448i 0.00739921 0.00641145i
\(767\) 15.6888 2.25571i 0.566490 0.0814490i
\(768\) 1.47915 0.901182i 0.0533741 0.0325186i
\(769\) −28.3350 24.5524i −1.02179 0.885382i −0.0283293 0.999599i \(-0.509019\pi\)
−0.993456 + 0.114217i \(0.963564\pi\)
\(770\) 17.7915 + 11.4339i 0.641160 + 0.412048i
\(771\) −4.64472 17.3481i −0.167275 0.624778i
\(772\) −14.5890 + 16.8366i −0.525068 + 0.605961i
\(773\) 6.23058 + 1.82946i 0.224098 + 0.0658012i 0.391854 0.920027i \(-0.371834\pi\)
−0.167756 + 0.985829i \(0.553652\pi\)
\(774\) −11.5208