Properties

Label 414.2.m.a.13.4
Level $414$
Weight $2$
Character 414.13
Analytic conductor $3.306$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 414 = 2 \cdot 3^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 414.m (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.30580664368\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 13.4
Character \(\chi\) \(=\) 414.13
Dual form 414.2.m.a.223.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.327068 - 0.945001i) q^{2} +(-1.08222 + 1.35233i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(0.204372 + 0.287001i) q^{5} +(0.923996 + 1.46500i) q^{6} +(-0.726527 - 2.99479i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.657606 - 2.92704i) q^{9} +O(q^{10})\) \(q+(0.327068 - 0.945001i) q^{2} +(-1.08222 + 1.35233i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(0.204372 + 0.287001i) q^{5} +(0.923996 + 1.46500i) q^{6} +(-0.726527 - 2.99479i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.657606 - 2.92704i) q^{9} +(0.338059 - 0.0992632i) q^{10} +(4.81224 + 0.927484i) q^{11} +(1.68664 - 0.394022i) q^{12} +(-0.235775 + 0.971876i) q^{13} +(-3.06770 - 0.292930i) q^{14} +(-0.609295 - 0.0342182i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-0.863401 - 6.00509i) q^{17} +(-2.98114 - 0.335902i) q^{18} +(0.209251 - 1.45537i) q^{19} +(0.0167646 - 0.351932i) q^{20} +(4.83621 + 2.25851i) q^{21} +(2.45040 - 4.24422i) q^{22} +(-1.29451 - 4.61782i) q^{23} +(0.179294 - 1.72275i) q^{24} +(1.59474 - 4.60769i) q^{25} +(0.841309 + 0.540677i) q^{26} +(4.67000 + 2.27839i) q^{27} +(-1.28017 + 2.80317i) q^{28} +(7.50349 - 5.90081i) q^{29} +(-0.231617 + 0.564593i) q^{30} +(0.0965191 + 2.02619i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-6.46216 + 5.50401i) q^{33} +(-5.95720 - 1.14816i) q^{34} +(0.711023 - 0.820565i) q^{35} +(-1.29246 + 2.70731i) q^{36} +(3.58775 + 7.85607i) q^{37} +(-1.30689 - 0.673748i) q^{38} +(-1.05914 - 1.37063i) q^{39} +(-0.327093 - 0.130948i) q^{40} +(-5.48637 - 7.70453i) q^{41} +(3.71606 - 3.83154i) q^{42} +(-0.473921 + 9.94883i) q^{43} +(-3.20935 - 3.70378i) q^{44} +(0.705665 - 0.786938i) q^{45} +(-4.78723 - 0.287026i) q^{46} +(-0.280611 - 0.486032i) q^{47} +(-1.56935 - 0.732888i) q^{48} +(-2.21906 + 1.14400i) q^{49} +(-3.83269 - 3.01406i) q^{50} +(9.05526 + 5.33121i) q^{51} +(0.786105 - 0.618200i) q^{52} +(-9.36230 - 2.74902i) q^{53} +(3.68049 - 3.66797i) q^{54} +(0.717300 + 1.57067i) q^{55} +(2.23030 + 2.12658i) q^{56} +(1.74169 + 1.85801i) q^{57} +(-3.12212 - 9.02078i) q^{58} +(-2.03035 + 8.36923i) q^{59} +(0.457786 + 0.403539i) q^{60} +(-3.86557 - 1.99284i) q^{61} +(1.94632 + 0.571490i) q^{62} +(-8.28809 + 4.09596i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.327115 + 0.130957i) q^{65} +(3.08773 + 7.90694i) q^{66} +(-9.81171 + 1.89105i) q^{67} +(-3.03342 + 5.25404i) q^{68} +(7.64577 + 3.24688i) q^{69} +(-0.542881 - 0.940298i) q^{70} +(7.90957 + 9.12813i) q^{71} +(2.13569 + 2.10685i) q^{72} +(-0.808407 + 5.62259i) q^{73} +(8.59743 - 0.820955i) q^{74} +(4.50528 + 7.14315i) q^{75} +(-1.06413 + 1.01465i) q^{76} +(-0.718610 - 15.0855i) q^{77} +(-1.64166 + 0.552600i) q^{78} +(6.89319 + 6.57264i) q^{79} +(-0.230728 + 0.266274i) q^{80} +(-8.13511 + 3.84968i) q^{81} +(-9.07520 + 2.66472i) q^{82} +(-3.18899 + 4.47830i) q^{83} +(-2.40540 - 4.76485i) q^{84} +(1.54701 - 1.47507i) q^{85} +(9.24665 + 3.70180i) q^{86} +(-0.140560 + 16.5332i) q^{87} +(-4.54975 + 1.82145i) q^{88} +(3.18010 + 2.04373i) q^{89} +(-0.512857 - 0.924237i) q^{90} +3.08186 q^{91} +(-1.83699 + 4.43006i) q^{92} +(-2.84453 - 2.06225i) q^{93} +(-0.551080 + 0.106212i) q^{94} +(0.460458 - 0.237382i) q^{95} +(-1.20587 + 1.24334i) q^{96} +(-2.38799 + 0.228026i) q^{97} +(0.355302 + 2.47118i) q^{98} +(-0.449779 - 14.6955i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9} + 2 q^{11} + 11 q^{12} + 4 q^{13} + 2 q^{14} + 6 q^{15} + 12 q^{16} - 8 q^{17} - 18 q^{18} + 12 q^{19} - 29 q^{21} + 20 q^{22} + 10 q^{25} + 8 q^{26} - 18 q^{27} + 4 q^{28} - 8 q^{29} - 18 q^{30} - 12 q^{32} + 50 q^{33} - 4 q^{34} - 12 q^{35} - 4 q^{36} + 92 q^{37} + 6 q^{38} + 44 q^{39} + 2 q^{41} + 42 q^{42} - 14 q^{43} - 4 q^{44} - 2 q^{45} - 44 q^{46} + 10 q^{47} - 22 q^{48} + 43 q^{49} - 43 q^{50} - 90 q^{51} - 18 q^{52} + 16 q^{53} - 29 q^{54} - 8 q^{55} + 13 q^{56} + 7 q^{57} + 8 q^{58} - 84 q^{59} + 9 q^{60} - 53 q^{61} - 66 q^{62} + 11 q^{63} - 24 q^{64} + 79 q^{65} - 110 q^{66} + 46 q^{67} - 40 q^{68} - 55 q^{69} - 6 q^{70} - 14 q^{71} - 19 q^{72} + 16 q^{73} + 46 q^{74} - 44 q^{75} - 6 q^{76} - 96 q^{77} + 20 q^{78} + 20 q^{79} - 22 q^{80} - 56 q^{81} + 26 q^{82} + 57 q^{83} + 5 q^{84} - 2 q^{85} - 8 q^{86} - 198 q^{87} - 2 q^{88} + 60 q^{89} - 22 q^{90} - 252 q^{91} - 218 q^{93} - 10 q^{94} + 6 q^{95} - q^{97} + 20 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(235\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.327068 0.945001i 0.231272 0.668216i
\(3\) −1.08222 + 1.35233i −0.624819 + 0.780769i
\(4\) −0.786053 0.618159i −0.393027 0.309079i
\(5\) 0.204372 + 0.287001i 0.0913980 + 0.128351i 0.857743 0.514079i \(-0.171866\pi\)
−0.766345 + 0.642429i \(0.777927\pi\)
\(6\) 0.923996 + 1.46500i 0.377220 + 0.598085i
\(7\) −0.726527 2.99479i −0.274602 1.13192i −0.927304 0.374309i \(-0.877880\pi\)
0.652703 0.757614i \(-0.273635\pi\)
\(8\) −0.841254 + 0.540641i −0.297428 + 0.191145i
\(9\) −0.657606 2.92704i −0.219202 0.975680i
\(10\) 0.338059 0.0992632i 0.106904 0.0313898i
\(11\) 4.81224 + 0.927484i 1.45095 + 0.279647i 0.853009 0.521896i \(-0.174775\pi\)
0.597937 + 0.801543i \(0.295987\pi\)
\(12\) 1.68664 0.394022i 0.486890 0.113744i
\(13\) −0.235775 + 0.971876i −0.0653921 + 0.269550i −0.995117 0.0987058i \(-0.968530\pi\)
0.929725 + 0.368256i \(0.120045\pi\)
\(14\) −3.06770 0.292930i −0.819877 0.0782888i
\(15\) −0.609295 0.0342182i −0.157319 0.00883511i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) −0.863401 6.00509i −0.209406 1.45645i −0.775103 0.631835i \(-0.782302\pi\)
0.565698 0.824613i \(-0.308607\pi\)
\(18\) −2.98114 0.335902i −0.702660 0.0791730i
\(19\) 0.209251 1.45537i 0.0480055 0.333885i −0.951639 0.307219i \(-0.900602\pi\)
0.999644 0.0266666i \(-0.00848924\pi\)
\(20\) 0.0167646 0.351932i 0.00374868 0.0786944i
\(21\) 4.83621 + 2.25851i 1.05535 + 0.492847i
\(22\) 2.45040 4.24422i 0.522428 0.904871i
\(23\) −1.29451 4.61782i −0.269924 0.962882i
\(24\) 0.179294 1.72275i 0.0365983 0.351654i
\(25\) 1.59474 4.60769i 0.318948 0.921539i
\(26\) 0.841309 + 0.540677i 0.164994 + 0.106035i
\(27\) 4.67000 + 2.27839i 0.898742 + 0.438477i
\(28\) −1.28017 + 2.80317i −0.241928 + 0.529750i
\(29\) 7.50349 5.90081i 1.39336 1.09575i 0.410410 0.911901i \(-0.365386\pi\)
0.982954 0.183853i \(-0.0588569\pi\)
\(30\) −0.231617 + 0.564593i −0.0422873 + 0.103080i
\(31\) 0.0965191 + 2.02619i 0.0173353 + 0.363914i 0.990822 + 0.135171i \(0.0431584\pi\)
−0.973487 + 0.228743i \(0.926539\pi\)
\(32\) 0.995472 + 0.0950560i 0.175976 + 0.0168037i
\(33\) −6.46216 + 5.50401i −1.12492 + 0.958125i
\(34\) −5.95720 1.14816i −1.02165 0.196907i
\(35\) 0.711023 0.820565i 0.120185 0.138701i
\(36\) −1.29246 + 2.70731i −0.215410 + 0.451219i
\(37\) 3.58775 + 7.85607i 0.589822 + 1.29153i 0.935550 + 0.353195i \(0.114905\pi\)
−0.345727 + 0.938335i \(0.612368\pi\)
\(38\) −1.30689 0.673748i −0.212005 0.109296i
\(39\) −1.05914 1.37063i −0.169598 0.219476i
\(40\) −0.327093 0.130948i −0.0517179 0.0207047i
\(41\) −5.48637 7.70453i −0.856827 1.20325i −0.977580 0.210563i \(-0.932470\pi\)
0.120753 0.992683i \(-0.461469\pi\)
\(42\) 3.71606 3.83154i 0.573401 0.591219i
\(43\) −0.473921 + 9.94883i −0.0722723 + 1.51718i 0.613691 + 0.789546i \(0.289684\pi\)
−0.685963 + 0.727636i \(0.740619\pi\)
\(44\) −3.20935 3.70378i −0.483827 0.558366i
\(45\) 0.705665 0.786938i 0.105194 0.117310i
\(46\) −4.78723 0.287026i −0.705839 0.0423196i
\(47\) −0.280611 0.486032i −0.0409313 0.0708951i 0.844834 0.535029i \(-0.179699\pi\)
−0.885765 + 0.464133i \(0.846366\pi\)
\(48\) −1.56935 0.732888i −0.226517 0.105783i
\(49\) −2.21906 + 1.14400i −0.317008 + 0.163429i
\(50\) −3.83269 3.01406i −0.542024 0.426252i
\(51\) 9.05526 + 5.33121i 1.26799 + 0.746519i
\(52\) 0.786105 0.618200i 0.109013 0.0857289i
\(53\) −9.36230 2.74902i −1.28601 0.377607i −0.433897 0.900963i \(-0.642862\pi\)
−0.852114 + 0.523356i \(0.824680\pi\)
\(54\) 3.68049 3.66797i 0.500852 0.499147i
\(55\) 0.717300 + 1.57067i 0.0967207 + 0.211789i
\(56\) 2.23030 + 2.12658i 0.298036 + 0.284177i
\(57\) 1.74169 + 1.85801i 0.230693 + 0.246099i
\(58\) −3.12212 9.02078i −0.409955 1.18449i
\(59\) −2.03035 + 8.36923i −0.264329 + 1.08958i 0.672584 + 0.740021i \(0.265184\pi\)
−0.936914 + 0.349560i \(0.886331\pi\)
\(60\) 0.457786 + 0.403539i 0.0591000 + 0.0520966i
\(61\) −3.86557 1.99284i −0.494936 0.255157i 0.192640 0.981269i \(-0.438295\pi\)
−0.687576 + 0.726112i \(0.741325\pi\)
\(62\) 1.94632 + 0.571490i 0.247182 + 0.0725793i
\(63\) −8.28809 + 4.09596i −1.04420 + 0.516043i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) −0.327115 + 0.130957i −0.0405736 + 0.0162432i
\(66\) 3.08773 + 7.90694i 0.380073 + 0.973277i
\(67\) −9.81171 + 1.89105i −1.19869 + 0.231029i −0.749254 0.662283i \(-0.769588\pi\)
−0.449437 + 0.893312i \(0.648375\pi\)
\(68\) −3.03342 + 5.25404i −0.367856 + 0.637146i
\(69\) 7.64577 + 3.24688i 0.920442 + 0.390878i
\(70\) −0.542881 0.940298i −0.0648867 0.112387i
\(71\) 7.90957 + 9.12813i 0.938693 + 1.08331i 0.996383 + 0.0849754i \(0.0270812\pi\)
−0.0576896 + 0.998335i \(0.518373\pi\)
\(72\) 2.13569 + 2.10685i 0.251693 + 0.248295i
\(73\) −0.808407 + 5.62259i −0.0946169 + 0.658075i 0.886223 + 0.463259i \(0.153320\pi\)
−0.980840 + 0.194816i \(0.937589\pi\)
\(74\) 8.59743 0.820955i 0.999431 0.0954341i
\(75\) 4.50528 + 7.14315i 0.520225 + 0.824820i
\(76\) −1.06413 + 1.01465i −0.122065 + 0.116388i
\(77\) −0.718610 15.0855i −0.0818932 1.71915i
\(78\) −1.64166 + 0.552600i −0.185881 + 0.0625696i
\(79\) 6.89319 + 6.57264i 0.775544 + 0.739480i 0.970440 0.241344i \(-0.0775883\pi\)
−0.194896 + 0.980824i \(0.562437\pi\)
\(80\) −0.230728 + 0.266274i −0.0257962 + 0.0297704i
\(81\) −8.13511 + 3.84968i −0.903901 + 0.427742i
\(82\) −9.07520 + 2.66472i −1.00219 + 0.294269i
\(83\) −3.18899 + 4.47830i −0.350037 + 0.491558i −0.951631 0.307244i \(-0.900593\pi\)
0.601594 + 0.798802i \(0.294533\pi\)
\(84\) −2.40540 4.76485i −0.262451 0.519888i
\(85\) 1.54701 1.47507i 0.167797 0.159994i
\(86\) 9.24665 + 3.70180i 0.997092 + 0.399175i
\(87\) −0.140560 + 16.5332i −0.0150696 + 1.77254i
\(88\) −4.54975 + 1.82145i −0.485005 + 0.194167i
\(89\) 3.18010 + 2.04373i 0.337090 + 0.216634i 0.698224 0.715879i \(-0.253974\pi\)
−0.361134 + 0.932514i \(0.617610\pi\)
\(90\) −0.512857 0.924237i −0.0540599 0.0974231i
\(91\) 3.08186 0.323067
\(92\) −1.83699 + 4.43006i −0.191520 + 0.461866i
\(93\) −2.84453 2.06225i −0.294964 0.213845i
\(94\) −0.551080 + 0.106212i −0.0568396 + 0.0109549i
\(95\) 0.460458 0.237382i 0.0472420 0.0243549i
\(96\) −1.20587 + 1.24334i −0.123073 + 0.126898i
\(97\) −2.38799 + 0.228026i −0.242464 + 0.0231525i −0.215581 0.976486i \(-0.569164\pi\)
−0.0268836 + 0.999639i \(0.508558\pi\)
\(98\) 0.355302 + 2.47118i 0.0358909 + 0.249627i
\(99\) −0.449779 14.6955i −0.0452044 1.47696i
\(100\) −4.10184 + 2.63609i −0.410184 + 0.263609i
\(101\) 4.87515 6.84619i 0.485096 0.681222i −0.497397 0.867523i \(-0.665711\pi\)
0.982493 + 0.186301i \(0.0596501\pi\)
\(102\) 7.99969 6.81356i 0.792087 0.674643i
\(103\) −3.89820 11.2631i −0.384101 1.10979i −0.956982 0.290149i \(-0.906295\pi\)
0.572880 0.819639i \(-0.305826\pi\)
\(104\) −0.327090 0.945063i −0.0320738 0.0926711i
\(105\) 0.340194 + 1.84957i 0.0331995 + 0.180500i
\(106\) −5.65993 + 7.94826i −0.549741 + 0.772004i
\(107\) 11.6027 7.45661i 1.12168 0.720857i 0.157869 0.987460i \(-0.449538\pi\)
0.963807 + 0.266603i \(0.0859012\pi\)
\(108\) −2.26246 4.67774i −0.217705 0.450116i
\(109\) −1.00478 6.98837i −0.0962401 0.669364i −0.979643 0.200749i \(-0.935662\pi\)
0.883403 0.468615i \(-0.155247\pi\)
\(110\) 1.71889 0.164134i 0.163890 0.0156496i
\(111\) −14.5067 3.65016i −1.37692 0.346458i
\(112\) 2.73908 1.41210i 0.258819 0.133430i
\(113\) 13.4539 2.59302i 1.26563 0.243931i 0.488109 0.872783i \(-0.337687\pi\)
0.777525 + 0.628852i \(0.216475\pi\)
\(114\) 2.32547 1.03821i 0.217800 0.0972368i
\(115\) 1.06075 1.31528i 0.0989158 0.122650i
\(116\) −9.54579 −0.886304
\(117\) 2.99977 + 0.0510098i 0.277328 + 0.00471586i
\(118\) 7.24487 + 4.65599i 0.666944 + 0.428619i
\(119\) −17.3567 + 6.94856i −1.59108 + 0.636974i
\(120\) 0.531072 0.300624i 0.0484800 0.0274431i
\(121\) 12.0854 + 4.83826i 1.09867 + 0.439842i
\(122\) −3.14754 + 3.00117i −0.284965 + 0.271714i
\(123\) 16.3565 + 0.918588i 1.47482 + 0.0828263i
\(124\) 1.17664 1.65235i 0.105665 0.148386i
\(125\) 3.33863 0.980309i 0.298616 0.0876815i
\(126\) 1.15992 + 9.17191i 0.103334 + 0.817098i
\(127\) 2.88379 3.32807i 0.255895 0.295319i −0.613237 0.789899i \(-0.710133\pi\)
0.869132 + 0.494581i \(0.164678\pi\)
\(128\) −0.723734 0.690079i −0.0639697 0.0609949i
\(129\) −12.9412 11.4077i −1.13941 1.00439i
\(130\) 0.0167657 + 0.351955i 0.00147045 + 0.0308685i
\(131\) 4.76433 4.54278i 0.416261 0.396904i −0.452797 0.891613i \(-0.649574\pi\)
0.869059 + 0.494709i \(0.164725\pi\)
\(132\) 8.48196 0.331800i 0.738260 0.0288795i
\(133\) −4.51056 + 0.430706i −0.391115 + 0.0373469i
\(134\) −1.42205 + 9.89057i −0.122846 + 0.854415i
\(135\) 0.300518 + 1.80593i 0.0258645 + 0.155430i
\(136\) 3.97293 + 4.58501i 0.340676 + 0.393161i
\(137\) 5.60506 + 9.70825i 0.478873 + 0.829432i 0.999707 0.0242262i \(-0.00771219\pi\)
−0.520834 + 0.853658i \(0.674379\pi\)
\(138\) 5.56899 6.16331i 0.474064 0.524656i
\(139\) −9.36306 + 16.2173i −0.794164 + 1.37553i 0.129204 + 0.991618i \(0.458758\pi\)
−0.923368 + 0.383915i \(0.874576\pi\)
\(140\) −1.06614 + 0.205482i −0.0901054 + 0.0173664i
\(141\) 0.960960 + 0.146514i 0.0809274 + 0.0123387i
\(142\) 11.2131 4.48903i 0.940979 0.376711i
\(143\) −2.03600 + 4.45823i −0.170259 + 0.372816i
\(144\) 2.68949 1.32914i 0.224124 0.110762i
\(145\) 3.22704 + 0.947545i 0.267991 + 0.0786893i
\(146\) 5.04895 + 2.60292i 0.417854 + 0.215419i
\(147\) 0.854432 4.23897i 0.0704724 0.349624i
\(148\) 2.03614 8.39309i 0.167370 0.689908i
\(149\) −1.42156 4.10732i −0.116459 0.336485i 0.871674 0.490085i \(-0.163034\pi\)
−0.988133 + 0.153600i \(0.950913\pi\)
\(150\) 8.22381 1.92120i 0.671472 0.156865i
\(151\) −4.01913 3.83224i −0.327072 0.311863i 0.508695 0.860947i \(-0.330128\pi\)
−0.835767 + 0.549084i \(0.814977\pi\)
\(152\) 0.610801 + 1.33747i 0.0495425 + 0.108483i
\(153\) −17.0093 + 6.47619i −1.37512 + 0.523569i
\(154\) −14.4908 4.25489i −1.16770 0.342869i
\(155\) −0.561791 + 0.441797i −0.0451241 + 0.0354860i
\(156\) −0.0147258 + 1.73210i −0.00117901 + 0.138679i
\(157\) −13.3620 10.5080i −1.06641 0.838631i −0.0790057 0.996874i \(-0.525175\pi\)
−0.987400 + 0.158243i \(0.949417\pi\)
\(158\) 8.46569 4.36437i 0.673494 0.347210i
\(159\) 13.8496 9.68590i 1.09835 0.768142i
\(160\) 0.176166 + 0.305128i 0.0139271 + 0.0241225i
\(161\) −12.8889 + 7.23176i −1.01579 + 0.569942i
\(162\) 0.977213 + 8.94679i 0.0767771 + 0.702926i
\(163\) 7.08819 + 8.18020i 0.555190 + 0.640723i 0.962084 0.272752i \(-0.0879339\pi\)
−0.406895 + 0.913475i \(0.633388\pi\)
\(164\) −0.450045 + 9.44762i −0.0351426 + 0.737735i
\(165\) −2.90034 0.729778i −0.225791 0.0568131i
\(166\) 3.18899 + 4.47830i 0.247513 + 0.347584i
\(167\) −16.3158 6.53186i −1.26255 0.505451i −0.358765 0.933428i \(-0.616802\pi\)
−0.903790 + 0.427977i \(0.859226\pi\)
\(168\) −5.28952 + 0.714675i −0.408095 + 0.0551383i
\(169\) 10.6659 + 5.49866i 0.820454 + 0.422974i
\(170\) −0.887965 1.94437i −0.0681038 0.149126i
\(171\) −4.39754 + 0.344576i −0.336288 + 0.0263504i
\(172\) 6.52248 7.52735i 0.497335 0.573955i
\(173\) 18.2028 + 3.50829i 1.38393 + 0.266731i 0.826240 0.563319i \(-0.190476\pi\)
0.557690 + 0.830049i \(0.311688\pi\)
\(174\) 15.5779 + 5.54031i 1.18096 + 0.420010i
\(175\) −14.9577 1.42829i −1.13069 0.107968i
\(176\) 0.233190 + 4.89526i 0.0175773 + 0.368994i
\(177\) −9.12070 11.8030i −0.685553 0.887172i
\(178\) 2.97143 2.33676i 0.222718 0.175147i
\(179\) −2.19976 + 4.81680i −0.164418 + 0.360025i −0.973851 0.227187i \(-0.927047\pi\)
0.809433 + 0.587212i \(0.199774\pi\)
\(180\) −1.04114 + 0.182362i −0.0776022 + 0.0135925i
\(181\) −2.34127 1.50464i −0.174025 0.111839i 0.450729 0.892661i \(-0.351164\pi\)
−0.624754 + 0.780822i \(0.714801\pi\)
\(182\) 1.00798 2.91236i 0.0747162 0.215878i
\(183\) 6.87838 3.07085i 0.508464 0.227004i
\(184\) 3.58559 + 3.18489i 0.264333 + 0.234793i
\(185\) −1.52146 + 2.63525i −0.111860 + 0.193747i
\(186\) −2.87918 + 2.01359i −0.211112 + 0.147644i
\(187\) 1.41472 29.6987i 0.103455 2.17179i
\(188\) −0.0798702 + 0.555510i −0.00582513 + 0.0405147i
\(189\) 3.43042 15.6410i 0.249526 1.13771i
\(190\) −0.0737256 0.512773i −0.00534862 0.0372005i
\(191\) −0.978335 4.03275i −0.0707898 0.291800i 0.925402 0.378987i \(-0.123727\pi\)
−0.996192 + 0.0871870i \(0.972212\pi\)
\(192\) 0.780555 + 1.54620i 0.0563317 + 0.111587i
\(193\) 3.60753 + 0.344477i 0.259676 + 0.0247960i 0.224082 0.974570i \(-0.428062\pi\)
0.0355938 + 0.999366i \(0.488668\pi\)
\(194\) −0.565552 + 2.33124i −0.0406043 + 0.167373i
\(195\) 0.176912 0.584092i 0.0126689 0.0418277i
\(196\) 2.45147 + 0.472483i 0.175105 + 0.0337488i
\(197\) −17.1875 + 5.04671i −1.22456 + 0.359563i −0.829194 0.558961i \(-0.811200\pi\)
−0.395365 + 0.918524i \(0.629382\pi\)
\(198\) −14.0344 4.38140i −0.997382 0.311372i
\(199\) 1.17187 0.753116i 0.0830718 0.0533870i −0.498446 0.866921i \(-0.666096\pi\)
0.581517 + 0.813534i \(0.302459\pi\)
\(200\) 1.14953 + 4.73842i 0.0812839 + 0.335057i
\(201\) 8.06108 15.3152i 0.568585 1.08025i
\(202\) −4.87515 6.84619i −0.343015 0.481696i
\(203\) −23.1232 18.1843i −1.62293 1.27629i
\(204\) −3.82238 9.78821i −0.267620 0.685312i
\(205\) 1.08994 3.14918i 0.0761249 0.219948i
\(206\) −11.9186 −0.830411
\(207\) −12.6653 + 6.82579i −0.880296 + 0.474425i
\(208\) −1.00007 −0.0693421
\(209\) 2.35680 6.80953i 0.163023 0.471025i
\(210\) 1.85911 + 0.283452i 0.128291 + 0.0195600i
\(211\) 17.2847 + 13.5929i 1.18993 + 0.935771i 0.998950 0.0458223i \(-0.0145908\pi\)
0.190981 + 0.981594i \(0.438833\pi\)
\(212\) 5.65993 + 7.94826i 0.388726 + 0.545889i
\(213\) −20.9042 + 0.817736i −1.43233 + 0.0560303i
\(214\) −3.25163 13.4034i −0.222277 0.916236i
\(215\) −2.95218 + 1.89725i −0.201337 + 0.129391i
\(216\) −5.16045 + 0.608087i −0.351124 + 0.0413751i
\(217\) 5.99787 1.76113i 0.407162 0.119554i
\(218\) −6.93264 1.33616i −0.469538 0.0904960i
\(219\) −6.72874 7.17811i −0.454686 0.485052i
\(220\) 0.407087 1.67803i 0.0274458 0.113133i
\(221\) 6.03977 + 0.576728i 0.406279 + 0.0387949i
\(222\) −8.19410 + 12.5150i −0.549952 + 0.839954i
\(223\) 2.70390 + 11.1456i 0.181067 + 0.746367i 0.987836 + 0.155500i \(0.0496989\pi\)
−0.806769 + 0.590867i \(0.798786\pi\)
\(224\) −0.438565 3.05029i −0.0293029 0.203806i
\(225\) −14.5356 1.63781i −0.969041 0.109188i
\(226\) 1.94992 13.5620i 0.129707 0.902132i
\(227\) −0.0449630 + 0.943889i −0.00298430 + 0.0626481i −0.999868 0.0162345i \(-0.994832\pi\)
0.996884 + 0.0788826i \(0.0251352\pi\)
\(228\) −0.220518 2.53714i −0.0146042 0.168026i
\(229\) −12.9739 + 22.4714i −0.857337 + 1.48495i 0.0171229 + 0.999853i \(0.494549\pi\)
−0.874460 + 0.485098i \(0.838784\pi\)
\(230\) −0.896001 1.43260i −0.0590805 0.0944628i
\(231\) 21.1783 + 15.3540i 1.39343 + 1.01022i
\(232\) −3.12212 + 9.02078i −0.204977 + 0.592243i
\(233\) −2.14405 1.37790i −0.140461 0.0902691i 0.468523 0.883451i \(-0.344786\pi\)
−0.608984 + 0.793182i \(0.708423\pi\)
\(234\) 1.02933 2.81810i 0.0672895 0.184225i
\(235\) 0.0821425 0.179867i 0.00535839 0.0117332i
\(236\) 6.76948 5.32358i 0.440656 0.346535i
\(237\) −16.3483 + 2.20885i −1.06194 + 0.143480i
\(238\) 0.889587 + 18.6747i 0.0576633 + 1.21050i
\(239\) 14.0872 + 1.34516i 0.911224 + 0.0870113i 0.540128 0.841583i \(-0.318376\pi\)
0.371096 + 0.928594i \(0.378982\pi\)
\(240\) −0.110393 0.600188i −0.00712585 0.0387419i
\(241\) 6.28416 + 1.21117i 0.404798 + 0.0780185i 0.387586 0.921833i \(-0.373309\pi\)
0.0172119 + 0.999852i \(0.494521\pi\)
\(242\) 8.52491 9.83827i 0.548002 0.632428i
\(243\) 3.59792 15.1676i 0.230807 0.973000i
\(244\) 1.80665 + 3.95602i 0.115659 + 0.253258i
\(245\) −0.781843 0.403068i −0.0499501 0.0257511i
\(246\) 6.21776 15.1565i 0.396430 0.966343i
\(247\) 1.36511 + 0.546506i 0.0868596 + 0.0347733i
\(248\) −1.17664 1.65235i −0.0747165 0.104925i
\(249\) −2.60498 9.15907i −0.165084 0.580433i
\(250\) 0.165565 3.47563i 0.0104712 0.219818i
\(251\) 15.4279 + 17.8047i 0.973799 + 1.12382i 0.992283 + 0.123995i \(0.0395707\pi\)
−0.0184836 + 0.999829i \(0.505884\pi\)
\(252\) 9.04683 + 1.90371i 0.569897 + 0.119923i
\(253\) −1.94655 23.4227i −0.122379 1.47257i
\(254\) −2.20183 3.81369i −0.138155 0.239292i
\(255\) 0.320583 + 3.68842i 0.0200757 + 0.230978i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) 10.3706 + 8.15555i 0.646902 + 0.508729i 0.886851 0.462056i \(-0.152888\pi\)
−0.239949 + 0.970786i \(0.577131\pi\)
\(258\) −15.0130 + 8.49838i −0.934666 + 0.529086i
\(259\) 20.9207 16.4522i 1.29995 1.02229i
\(260\) 0.338082 + 0.0992697i 0.0209669 + 0.00615645i
\(261\) −22.2063 18.0826i −1.37453 1.11929i
\(262\) −2.73467 5.98809i −0.168948 0.369946i
\(263\) 2.30929 + 2.20190i 0.142397 + 0.135775i 0.757930 0.652336i \(-0.226211\pi\)
−0.615533 + 0.788111i \(0.711059\pi\)
\(264\) 2.46063 8.12398i 0.151441 0.499996i
\(265\) −1.12442 3.24881i −0.0690728 0.199573i
\(266\) −1.06824 + 4.40335i −0.0654981 + 0.269987i
\(267\) −6.20536 + 2.08879i −0.379762 + 0.127832i
\(268\) 8.88149 + 4.57873i 0.542524 + 0.279690i
\(269\) −9.15874 2.68925i −0.558418 0.163966i −0.00966892 0.999953i \(-0.503078\pi\)
−0.548750 + 0.835987i \(0.684896\pi\)
\(270\) 1.80490 + 0.306673i 0.109843 + 0.0186635i
\(271\) 1.34694 2.94939i 0.0818209 0.179163i −0.864300 0.502977i \(-0.832238\pi\)
0.946121 + 0.323814i \(0.104965\pi\)
\(272\) 5.63226 2.25482i 0.341506 0.136718i
\(273\) −3.33524 + 4.16770i −0.201858 + 0.252240i
\(274\) 11.0075 2.12153i 0.664990 0.128166i
\(275\) 11.9478 20.6942i 0.720481 1.24791i
\(276\) −4.00289 7.27852i −0.240946 0.438115i
\(277\) 4.19601 + 7.26770i 0.252114 + 0.436674i 0.964108 0.265512i \(-0.0855409\pi\)
−0.711994 + 0.702186i \(0.752208\pi\)
\(278\) 12.2630 + 14.1523i 0.735486 + 0.848796i
\(279\) 5.86725 1.61495i 0.351263 0.0966844i
\(280\) −0.154520 + 1.07471i −0.00923434 + 0.0642263i
\(281\) 6.68210 0.638063i 0.398620 0.0380636i 0.106179 0.994347i \(-0.466138\pi\)
0.292442 + 0.956283i \(0.405532\pi\)
\(282\) 0.452755 0.860188i 0.0269612 0.0512234i
\(283\) 6.85449 6.53574i 0.407457 0.388509i −0.458445 0.888723i \(-0.651594\pi\)
0.865902 + 0.500213i \(0.166745\pi\)
\(284\) −0.574706 12.0646i −0.0341025 0.715900i
\(285\) −0.177296 + 0.879591i −0.0105021 + 0.0521025i
\(286\) 3.54712 + 3.38217i 0.209745 + 0.199992i
\(287\) −19.0874 + 22.0281i −1.12669 + 1.30028i
\(288\) −0.376396 2.97629i −0.0221793 0.175380i
\(289\) −19.0042 + 5.58015i −1.11790 + 0.328244i
\(290\) 1.95089 2.73965i 0.114560 0.160878i
\(291\) 2.27597 3.47614i 0.133419 0.203775i
\(292\) 4.11111 3.91993i 0.240584 0.229397i
\(293\) 3.31229 + 1.32604i 0.193506 + 0.0774681i 0.466392 0.884578i \(-0.345554\pi\)
−0.272886 + 0.962047i \(0.587978\pi\)
\(294\) −3.72637 2.19387i −0.217326 0.127949i
\(295\) −2.81692 + 1.12773i −0.164007 + 0.0656587i
\(296\) −7.26552 4.66927i −0.422300 0.271396i
\(297\) 20.3600 + 15.2955i 1.18141 + 0.887537i
\(298\) −4.34637 −0.251779
\(299\) 4.79316 0.169341i 0.277196 0.00979323i
\(300\) 0.874213 8.39987i 0.0504727 0.484967i
\(301\) 30.1389 5.80880i 1.73718 0.334814i
\(302\) −4.93600 + 2.54468i −0.284035 + 0.146430i
\(303\) 3.98235 + 14.0019i 0.228780 + 0.804388i
\(304\) 1.46368 0.139765i 0.0839478 0.00801605i
\(305\) −0.218069 1.51670i −0.0124866 0.0868461i
\(306\) 0.556793 + 18.1920i 0.0318297 + 1.03997i
\(307\) 14.2124 9.13373i 0.811142 0.521289i −0.0680920 0.997679i \(-0.521691\pi\)
0.879234 + 0.476390i \(0.158055\pi\)
\(308\) −8.76036 + 12.3022i −0.499168 + 0.700983i
\(309\) 19.4502 + 6.91749i 1.10648 + 0.393522i
\(310\) 0.233755 + 0.675390i 0.0132764 + 0.0383596i
\(311\) 3.49200 + 10.0895i 0.198013 + 0.572121i 0.999671 0.0256622i \(-0.00816944\pi\)
−0.801658 + 0.597784i \(0.796048\pi\)
\(312\) 1.63202 + 0.580431i 0.0923951 + 0.0328605i
\(313\) −2.68211 + 3.76649i −0.151602 + 0.212895i −0.883392 0.468636i \(-0.844746\pi\)
0.731790 + 0.681530i \(0.238685\pi\)
\(314\) −14.3004 + 9.19029i −0.807017 + 0.518638i
\(315\) −2.86940 1.54158i −0.161672 0.0868585i
\(316\) −1.35547 9.42753i −0.0762514 0.530340i
\(317\) −8.39374 + 0.801505i −0.471439 + 0.0450170i −0.328072 0.944653i \(-0.606399\pi\)
−0.143367 + 0.989670i \(0.545793\pi\)
\(318\) −4.62341 16.2559i −0.259268 0.911584i
\(319\) 41.5815 21.4368i 2.32812 1.20023i
\(320\) 0.345964 0.0666791i 0.0193400 0.00372748i
\(321\) −2.47285 + 23.7604i −0.138021 + 1.32618i
\(322\) 2.61848 + 14.5453i 0.145922 + 0.810577i
\(323\) −8.92031 −0.496339
\(324\) 8.77434 + 2.00274i 0.487463 + 0.111263i
\(325\) 4.10211 + 2.63627i 0.227544 + 0.146234i
\(326\) 10.0486 4.02286i 0.556541 0.222806i
\(327\) 10.5380 + 6.20415i 0.582752 + 0.343090i
\(328\) 8.78081 + 3.51531i 0.484839 + 0.194100i
\(329\) −1.25169 + 1.19349i −0.0690080 + 0.0657990i
\(330\) −1.63825 + 2.50214i −0.0901826 + 0.137738i
\(331\) −9.18722 + 12.9016i −0.504975 + 0.709138i −0.985846 0.167653i \(-0.946381\pi\)
0.480871 + 0.876791i \(0.340321\pi\)
\(332\) 5.27502 1.54888i 0.289504 0.0850061i
\(333\) 20.6357 15.6677i 1.13083 0.858583i
\(334\) −11.5090 + 13.2821i −0.629744 + 0.726763i
\(335\) −2.54797 2.42949i −0.139211 0.132737i
\(336\) −1.05466 + 5.23235i −0.0575366 + 0.285448i
\(337\) 1.21376 + 25.4799i 0.0661176 + 1.38798i 0.751470 + 0.659767i \(0.229345\pi\)
−0.685353 + 0.728211i \(0.740352\pi\)
\(338\) 8.68471 8.28086i 0.472386 0.450419i
\(339\) −11.0534 + 21.0003i −0.600338 + 1.14058i
\(340\) −2.12786 + 0.203186i −0.115399 + 0.0110193i
\(341\) −1.41478 + 9.84002i −0.0766147 + 0.532867i
\(342\) −1.11267 + 4.26837i −0.0601662 + 0.230807i
\(343\) −9.08812 10.4883i −0.490713 0.566313i
\(344\) −4.98005 8.62571i −0.268507 0.465067i
\(345\) 0.630726 + 2.85791i 0.0339572 + 0.153865i
\(346\) 9.26888 16.0542i 0.498298 0.863077i
\(347\) −11.8162 + 2.27738i −0.634325 + 0.122256i −0.496270 0.868169i \(-0.665297\pi\)
−0.138055 + 0.990425i \(0.544085\pi\)
\(348\) 10.3306 12.9091i 0.553780 0.691999i
\(349\) −2.89416 + 1.15865i −0.154921 + 0.0620210i −0.447827 0.894120i \(-0.647802\pi\)
0.292906 + 0.956141i \(0.405378\pi\)
\(350\) −6.24191 + 13.6679i −0.333644 + 0.730579i
\(351\) −3.31538 + 4.00148i −0.176962 + 0.213583i
\(352\) 4.70229 + 1.38072i 0.250633 + 0.0735924i
\(353\) −25.1283 12.9545i −1.33744 0.689500i −0.366863 0.930275i \(-0.619568\pi\)
−0.970581 + 0.240774i \(0.922599\pi\)
\(354\) −14.1370 + 4.75867i −0.751372 + 0.252920i
\(355\) −1.00328 + 4.13559i −0.0532487 + 0.219494i
\(356\) −1.23638 3.57228i −0.0655280 0.189331i
\(357\) 9.38695 30.9919i 0.496810 1.64026i
\(358\) 3.83241 + 3.65420i 0.202549 + 0.193130i
\(359\) −8.93968 19.5752i −0.471818 1.03314i −0.984633 0.174638i \(-0.944124\pi\)
0.512814 0.858499i \(-0.328603\pi\)
\(360\) −0.168192 + 1.04353i −0.00886452 + 0.0549987i
\(361\) 16.1560 + 4.74384i 0.850318 + 0.249676i
\(362\) −2.18764 + 1.72038i −0.114980 + 0.0904211i
\(363\) −19.6220 + 11.1074i −1.02989 + 0.582988i
\(364\) −2.42250 1.90508i −0.126974 0.0998532i
\(365\) −1.77890 + 0.917088i −0.0931120 + 0.0480026i
\(366\) −0.652258 7.50445i −0.0340941 0.392264i
\(367\) −12.1107 20.9763i −0.632173 1.09496i −0.987107 0.160064i \(-0.948830\pi\)
0.354934 0.934891i \(-0.384503\pi\)
\(368\) 4.18246 2.34671i 0.218026 0.122331i
\(369\) −18.9436 + 21.1254i −0.986163 + 1.09974i
\(370\) 1.99269 + 2.29969i 0.103595 + 0.119555i
\(371\) −1.43076 + 30.0353i −0.0742813 + 1.55936i
\(372\) 0.961155 + 3.37941i 0.0498335 + 0.175214i
\(373\) −19.0643 26.7721i −0.987114 1.38621i −0.921507 0.388361i \(-0.873041\pi\)
−0.0656064 0.997846i \(-0.520898\pi\)
\(374\) −27.6026 11.0504i −1.42730 0.571403i
\(375\) −2.28742 + 5.57584i −0.118122 + 0.287935i
\(376\) 0.498834 + 0.257167i 0.0257254 + 0.0132624i
\(377\) 3.96573 + 8.68373i 0.204245 + 0.447235i
\(378\) −13.6588 8.35741i −0.702531 0.429859i
\(379\) 10.3293 11.9207i 0.530583 0.612325i −0.425666 0.904881i \(-0.639960\pi\)
0.956249 + 0.292555i \(0.0945055\pi\)
\(380\) −0.508684 0.0980409i −0.0260950 0.00502939i
\(381\) 1.37977 + 7.50154i 0.0706876 + 0.384316i
\(382\) −4.13093 0.394456i −0.211357 0.0201821i
\(383\) 0.788825 + 16.5595i 0.0403071 + 0.846150i 0.924998 + 0.379972i \(0.124066\pi\)
−0.884691 + 0.466178i \(0.845631\pi\)
\(384\) 1.71645 0.231913i 0.0875925 0.0118347i
\(385\) 4.18268 3.28929i 0.213169 0.167638i
\(386\) 1.50544 3.29645i 0.0766248 0.167785i
\(387\) 29.4323 5.15522i 1.49613 0.262055i
\(388\) 2.01805 + 1.29692i 0.102451 + 0.0658411i
\(389\) 7.39444 21.3648i 0.374913 1.08324i −0.586930 0.809638i \(-0.699664\pi\)
0.961843 0.273602i \(-0.0882151\pi\)
\(390\) −0.494105 0.358220i −0.0250200 0.0181392i
\(391\) −26.6127 + 11.7607i −1.34586 + 0.594763i
\(392\) 1.24830 2.16211i 0.0630484 0.109203i
\(393\) 0.987301 + 11.3592i 0.0498028 + 0.572998i
\(394\) −0.852340 + 17.8928i −0.0429403 + 0.901428i
\(395\) −0.477576 + 3.32161i −0.0240294 + 0.167128i
\(396\) −8.73063 + 11.8295i −0.438731 + 0.594455i
\(397\) 5.57856 + 38.7997i 0.279980 + 1.94730i 0.318174 + 0.948032i \(0.396930\pi\)
−0.0381943 + 0.999270i \(0.512161\pi\)
\(398\) −0.328414 1.35374i −0.0164619 0.0678569i
\(399\) 4.29895 6.56589i 0.215217 0.328706i
\(400\) 4.85378 + 0.463480i 0.242689 + 0.0231740i
\(401\) −0.771582 + 3.18050i −0.0385309 + 0.158827i −0.987827 0.155557i \(-0.950283\pi\)
0.949296 + 0.314384i \(0.101798\pi\)
\(402\) −11.8364 12.6268i −0.590345 0.629770i
\(403\) −1.99196 0.383919i −0.0992265 0.0191243i
\(404\) −8.06416 + 2.36785i −0.401207 + 0.117805i
\(405\) −2.76745 1.54801i −0.137516 0.0769214i
\(406\) −24.7470 + 15.9039i −1.22817 + 0.789299i
\(407\) 9.97873 + 41.1329i 0.494627 + 2.03888i
\(408\) −10.5000 + 0.410744i −0.519830 + 0.0203349i
\(409\) 14.9227 + 20.9559i 0.737878 + 1.03620i 0.997512 + 0.0704973i \(0.0224586\pi\)
−0.259634 + 0.965707i \(0.583602\pi\)
\(410\) −2.61949 2.05999i −0.129368 0.101736i
\(411\) −19.1947 2.92654i −0.946804 0.144356i
\(412\) −3.89820 + 11.2631i −0.192051 + 0.554894i
\(413\) 26.5392 1.30591
\(414\) 2.30798 + 14.2012i 0.113431 + 0.697949i
\(415\) −1.93701 −0.0950843
\(416\) −0.327090 + 0.945063i −0.0160369 + 0.0463355i
\(417\) −11.7983 30.2126i −0.577765 1.47952i
\(418\) −5.66417 4.45436i −0.277044 0.217870i
\(419\) 1.49160 + 2.09466i 0.0728693 + 0.102331i 0.849402 0.527746i \(-0.176963\pi\)
−0.776533 + 0.630077i \(0.783023\pi\)
\(420\) 0.875918 1.66415i 0.0427404 0.0812024i
\(421\) −2.39367 9.86686i −0.116661 0.480881i −0.999928 0.0120115i \(-0.996177\pi\)
0.883267 0.468870i \(-0.155339\pi\)
\(422\) 18.4986 11.8883i 0.900495 0.578713i
\(423\) −1.23810 + 1.14098i −0.0601987 + 0.0554762i
\(424\) 9.36230 2.74902i 0.454673 0.133504i
\(425\) −29.0465 5.59826i −1.40896 0.271555i
\(426\) −6.06432 + 20.0219i −0.293817 + 0.970064i
\(427\) −3.15969 + 13.0244i −0.152908 + 0.630296i
\(428\) −13.7297 1.31103i −0.663651 0.0633709i
\(429\) −3.82560 7.57813i −0.184702 0.365875i
\(430\) 0.827339 + 3.41034i 0.0398978 + 0.164461i
\(431\) −2.77087 19.2718i −0.133468 0.928290i −0.940986 0.338446i \(-0.890099\pi\)
0.807518 0.589843i \(-0.200810\pi\)
\(432\) −1.11317 + 5.07551i −0.0535576 + 0.244196i
\(433\) −3.59241 + 24.9857i −0.172640 + 1.20074i 0.700638 + 0.713516i \(0.252899\pi\)
−0.873279 + 0.487221i \(0.838010\pi\)
\(434\) 0.297439 6.24400i 0.0142775 0.299722i
\(435\) −4.77376 + 3.33858i −0.228884 + 0.160073i
\(436\) −3.53012 + 6.11434i −0.169062 + 0.292824i
\(437\) −6.99152 + 0.917713i −0.334450 + 0.0439002i
\(438\) −8.98408 + 4.01094i −0.429276 + 0.191650i
\(439\) −2.09928 + 6.06546i −0.100193 + 0.289489i −0.983946 0.178464i \(-0.942887\pi\)
0.883753 + 0.467953i \(0.155008\pi\)
\(440\) −1.45260 0.933528i −0.0692499 0.0445042i
\(441\) 4.80781 + 5.74296i 0.228943 + 0.273474i
\(442\) 2.52042 5.51896i 0.119884 0.262510i
\(443\) 18.9326 14.8888i 0.899516 0.707388i −0.0572144 0.998362i \(-0.518222\pi\)
0.956731 + 0.290974i \(0.0939794\pi\)
\(444\) 9.14670 + 11.8367i 0.434083 + 0.561745i
\(445\) 0.0633734 + 1.33037i 0.00300418 + 0.0630656i
\(446\) 11.4170 + 1.09019i 0.540610 + 0.0516220i
\(447\) 7.09290 + 2.52260i 0.335483 + 0.119315i
\(448\) −3.02596 0.583207i −0.142963 0.0275539i
\(449\) 7.83876 9.04641i 0.369934 0.426927i −0.540009 0.841659i \(-0.681579\pi\)
0.909943 + 0.414732i \(0.136125\pi\)
\(450\) −6.30187 + 13.2005i −0.297073 + 0.622277i
\(451\) −19.2559 42.1646i −0.906726 1.98545i
\(452\) −12.1784 6.27838i −0.572822 0.295310i
\(453\) 9.53204 1.28789i 0.447854 0.0605102i
\(454\) 0.877270 + 0.351206i 0.0411723 + 0.0164829i
\(455\) 0.629846 + 0.884495i 0.0295276 + 0.0414658i
\(456\) −2.46972 0.621426i −0.115655 0.0291009i
\(457\) −0.892126 + 18.7280i −0.0417319 + 0.876060i 0.876834 + 0.480793i \(0.159651\pi\)
−0.918566 + 0.395267i \(0.870652\pi\)
\(458\) 16.9921 + 19.6100i 0.793991 + 0.916314i
\(459\) 9.64987 30.0109i 0.450417 1.40079i
\(460\) −1.64686 + 0.378164i −0.0767853 + 0.0176320i
\(461\) 17.7707 + 30.7798i 0.827665 + 1.43356i 0.899866 + 0.436167i \(0.143664\pi\)
−0.0722010 + 0.997390i \(0.523002\pi\)
\(462\) 21.4363 14.9917i 0.997305 0.697477i
\(463\) 9.33817 4.81416i 0.433981 0.223733i −0.227371 0.973808i \(-0.573013\pi\)
0.661353 + 0.750075i \(0.269983\pi\)
\(464\) 7.50349 + 5.90081i 0.348341 + 0.273938i
\(465\) 0.0105238 1.23785i 0.000488030 0.0574039i
\(466\) −2.00336 + 1.57546i −0.0928041 + 0.0729819i
\(467\) −10.9147 3.20483i −0.505070 0.148302i 0.0192644 0.999814i \(-0.493868\pi\)
−0.524334 + 0.851513i \(0.675686\pi\)
\(468\) −2.32644 1.89443i −0.107540 0.0875700i
\(469\) 12.7918 + 28.0101i 0.590669 + 1.29338i
\(470\) −0.143108 0.136453i −0.00660109 0.00629413i
\(471\) 28.6710 6.69793i 1.32109 0.308625i
\(472\) −2.81671 8.13834i −0.129649 0.374597i
\(473\) −11.5080 + 47.4366i −0.529138 + 2.18114i
\(474\) −3.25965 + 16.1716i −0.149721 + 0.742787i
\(475\) −6.37221 3.28510i −0.292377 0.150731i
\(476\) 17.9386 + 5.26724i 0.822214 + 0.241424i
\(477\) −1.88978 + 29.2116i −0.0865271 + 1.33751i
\(478\) 5.87864 12.8724i 0.268883 0.588771i
\(479\) −20.2890 + 8.12249i −0.927028 + 0.371126i −0.785538 0.618814i \(-0.787614\pi\)
−0.141490 + 0.989940i \(0.545189\pi\)
\(480\) −0.603284 0.0919805i −0.0275360 0.00419832i
\(481\) −8.48103 + 1.63458i −0.386702 + 0.0745306i
\(482\) 3.19991 5.54240i 0.145752 0.252449i
\(483\) 4.16885 25.2564i 0.189689 1.14921i
\(484\) −6.50895 11.2738i −0.295861 0.512447i
\(485\) −0.553483 0.638754i −0.0251324 0.0290043i
\(486\) −13.1566 8.36087i −0.596795 0.379257i
\(487\) 2.17866 15.1529i 0.0987246 0.686645i −0.879011 0.476802i \(-0.841796\pi\)
0.977735 0.209842i \(-0.0672951\pi\)
\(488\) 4.32934 0.413402i 0.195980 0.0187138i
\(489\) −18.7333 + 0.732816i −0.847150 + 0.0331391i
\(490\) −0.636616 + 0.607012i −0.0287594 + 0.0274220i
\(491\) 1.52426 + 31.9982i 0.0687890 + 1.44406i 0.724618 + 0.689150i \(0.242016\pi\)
−0.655829 + 0.754909i \(0.727681\pi\)
\(492\) −12.2893 10.8330i −0.554043 0.488389i
\(493\) −41.9134 39.9644i −1.88769 1.79990i
\(494\) 0.962931 1.11128i 0.0433243 0.0499989i
\(495\) 4.12570 3.13244i 0.185437 0.140793i
\(496\) −1.94632 + 0.571490i −0.0873922 + 0.0256607i
\(497\) 21.5903 30.3193i 0.968457 1.36001i
\(498\) −9.50733 0.533935i −0.426034 0.0239262i
\(499\) −29.0722 + 27.7203i −1.30145 + 1.24093i −0.348681 + 0.937241i \(0.613370\pi\)
−0.952771 + 0.303691i \(0.901781\pi\)
\(500\) −3.23033 1.29323i −0.144465 0.0578349i
\(501\) 26.4905 14.9955i 1.18351 0.669949i
\(502\) 21.8714 8.75601i 0.976170 0.390800i
\(503\) 0.994853 + 0.639353i 0.0443583 + 0.0285074i 0.562632 0.826707i \(-0.309789\pi\)
−0.518274 + 0.855215i \(0.673425\pi\)
\(504\) 4.75794 7.92662i 0.211935 0.353080i
\(505\) 2.96121 0.131772
\(506\) −22.7711 5.82132i −1.01230 0.258789i
\(507\) −18.9789 + 8.47310i −0.842881 + 0.376304i
\(508\) −4.32409 + 0.833400i −0.191850 + 0.0369761i
\(509\) 13.7030 7.06439i 0.607375 0.313124i −0.126963 0.991907i \(-0.540523\pi\)
0.734338 + 0.678784i \(0.237493\pi\)
\(510\) 3.59041 + 0.903412i 0.158986 + 0.0400037i
\(511\) 17.4258 1.66396i 0.770872 0.0736093i
\(512\) 0.142315 + 0.989821i 0.00628949 + 0.0437443i
\(513\) 4.29311 6.31984i 0.189546 0.279028i
\(514\) 11.0989 7.13283i 0.489551 0.314616i
\(515\) 2.43584 3.42065i 0.107336 0.150732i
\(516\) 3.12072 + 16.9668i 0.137382 + 0.746922i
\(517\) −0.899581 2.59917i −0.0395635 0.114311i
\(518\) −8.70486 25.1510i −0.382469 1.10507i
\(519\) −24.4437 + 20.8194i −1.07296 + 0.913872i
\(520\) 0.204386 0.287020i 0.00896291 0.0125866i
\(521\) 34.9155 22.4388i 1.52967 0.983062i 0.539693 0.841862i \(-0.318540\pi\)
0.989981 0.141200i \(-0.0450961\pi\)
\(522\) −24.3510 + 15.0707i −1.06582 + 0.659626i
\(523\) 0.679337 + 4.72489i 0.0297053 + 0.206605i 0.999269 0.0382351i \(-0.0121736\pi\)
−0.969563 + 0.244840i \(0.921264\pi\)
\(524\) −6.55317 + 0.625752i −0.286277 + 0.0273361i
\(525\) 18.1190 18.6820i 0.790778 0.815351i
\(526\) 2.83610 1.46211i 0.123660 0.0637510i
\(527\) 12.0841 2.32902i 0.526391 0.101454i
\(528\) −6.87237 4.98239i −0.299082 0.216831i
\(529\) −19.6485 + 11.9556i −0.854282 + 0.519810i
\(530\) −3.43789 −0.149332
\(531\) 25.8322 + 0.439267i 1.12102 + 0.0190626i
\(532\) 3.81178 + 2.44968i 0.165262 + 0.106207i
\(533\) 8.78139 3.51554i 0.380364 0.152275i
\(534\) −0.0556626 + 6.54725i −0.00240876 + 0.283327i
\(535\) 4.51132 + 1.80606i 0.195041 + 0.0780828i
\(536\) 7.23175 6.89546i 0.312364 0.297839i
\(537\) −4.13330 8.18764i −0.178365 0.353323i
\(538\) −5.53688 + 7.77545i −0.238712 + 0.335224i
\(539\) −11.7397 + 3.44708i −0.505664 + 0.148476i
\(540\) 0.880131 1.60533i 0.0378748 0.0690823i
\(541\) 21.7512 25.1023i 0.935158 1.07923i −0.0615457 0.998104i \(-0.519603\pi\)
0.996704 0.0811258i \(-0.0258515\pi\)
\(542\) −2.34664 2.23751i −0.100797 0.0961094i
\(543\) 4.56854 1.53782i 0.196055 0.0659942i
\(544\) −0.288672 6.05997i −0.0123767 0.259819i
\(545\) 1.80032 1.71660i 0.0771171 0.0735310i
\(546\) 2.84763 + 4.51493i 0.121867 + 0.193221i
\(547\) −10.8597 + 1.03698i −0.464328 + 0.0443380i −0.324599 0.945852i \(-0.605229\pi\)
−0.139729 + 0.990190i \(0.544623\pi\)
\(548\) 1.59537 11.0960i 0.0681507 0.473999i
\(549\) −3.29110 + 12.6252i −0.140461 + 0.538830i
\(550\) −15.6483 18.0591i −0.667247 0.770044i
\(551\) −7.01777 12.1551i −0.298967 0.517826i
\(552\) −8.18742 + 1.40217i −0.348480 + 0.0596802i
\(553\) 14.6756 25.4188i 0.624069 1.08092i
\(554\) 8.24037 1.58820i 0.350100 0.0674762i
\(555\) −1.91718 4.90944i −0.0813797 0.208394i
\(556\) 17.3847 6.95980i 0.737277 0.295161i
\(557\) −0.580442 + 1.27099i −0.0245941 + 0.0538536i −0.921530 0.388306i \(-0.873060\pi\)
0.896936 + 0.442160i \(0.145788\pi\)
\(558\) 0.392864 6.07276i 0.0166313 0.257080i
\(559\) −9.55729 2.80627i −0.404230 0.118693i
\(560\) 0.965064 + 0.497525i 0.0407814 + 0.0210243i
\(561\) 38.6315 + 34.0537i 1.63102 + 1.43775i
\(562\) 1.58253 6.52328i 0.0667550 0.275168i
\(563\) −0.192983 0.557589i −0.00813328 0.0234996i 0.940861 0.338792i \(-0.110018\pi\)
−0.948994 + 0.315293i \(0.897897\pi\)
\(564\) −0.664797 0.709194i −0.0279930 0.0298624i
\(565\) 3.49379 + 3.33133i 0.146985 + 0.140150i
\(566\) −3.93440 8.61513i −0.165375 0.362121i
\(567\) 17.4393 + 21.5660i 0.732383 + 0.905688i
\(568\) −11.5890 3.40284i −0.486263 0.142780i
\(569\) 23.8628 18.7659i 1.00038 0.786707i 0.0233320 0.999728i \(-0.492573\pi\)
0.977048 + 0.213020i \(0.0683301\pi\)
\(570\) 0.773227 + 0.455231i 0.0323869 + 0.0190675i
\(571\) −28.9952 22.8021i −1.21341 0.954238i −0.213670 0.976906i \(-0.568542\pi\)
−0.999743 + 0.0226674i \(0.992784\pi\)
\(572\) 4.35630 2.24583i 0.182146 0.0939028i
\(573\) 6.51239 + 3.04128i 0.272059 + 0.127051i
\(574\) 14.5736 + 25.2423i 0.608292 + 1.05359i
\(575\) −23.3419 1.39950i −0.973424 0.0583631i
\(576\) −2.93571 0.617756i −0.122321 0.0257398i
\(577\) 3.09521 + 3.57206i 0.128855 + 0.148707i 0.816511 0.577330i \(-0.195906\pi\)
−0.687656 + 0.726037i \(0.741360\pi\)
\(578\) −0.942433 + 19.7841i −0.0392000 + 0.822910i
\(579\) −4.36998 + 4.50578i −0.181610 + 0.187254i
\(580\) −1.95089 2.73965i −0.0810064 0.113758i
\(581\) 15.7284 + 6.29672i 0.652526 + 0.261232i
\(582\) −2.54056 3.28772i −0.105309 0.136280i
\(583\) −42.5040 21.9123i −1.76034 0.907516i
\(584\) −2.35973 5.16708i −0.0976462 0.213815i
\(585\) 0.598429 + 0.871359i 0.0247420 + 0.0360263i
\(586\) 2.33645 2.69641i 0.0965180 0.111388i
\(587\) −20.7769 4.00442i −0.857556 0.165280i −0.258523 0.966005i \(-0.583236\pi\)
−0.599032 + 0.800725i \(0.704448\pi\)
\(588\) −3.29198 + 2.80388i −0.135759 + 0.115630i
\(589\) 2.96905 + 0.283510i 0.122338 + 0.0116818i
\(590\) 0.144376 + 3.03084i 0.00594389 + 0.124778i
\(591\) 11.7758 28.7049i 0.484392 1.18076i
\(592\) −6.78878 + 5.33875i −0.279017 + 0.219421i
\(593\) 0.227442 0.498028i 0.00933991 0.0204516i −0.904905 0.425615i \(-0.860058\pi\)
0.914244 + 0.405163i \(0.132785\pi\)
\(594\) 21.1134 14.2375i 0.866293 0.584174i
\(595\) −5.54146 3.56128i −0.227178 0.145998i
\(596\) −1.42156 + 4.10732i −0.0582293 + 0.168243i
\(597\) −0.249758 + 2.39980i −0.0102219 + 0.0982172i
\(598\) 1.40766 4.58493i 0.0575636 0.187492i
\(599\) −2.78248 + 4.81940i −0.113689 + 0.196915i −0.917255 0.398301i \(-0.869600\pi\)
0.803566 + 0.595216i \(0.202933\pi\)
\(600\) −7.65196 3.57346i −0.312390 0.145886i
\(601\) 0.466768 9.79866i 0.0190399 0.399696i −0.969151 0.246468i \(-0.920730\pi\)
0.988191 0.153228i \(-0.0489669\pi\)
\(602\) 4.36816 30.3812i 0.178033 1.23825i
\(603\) 11.9874 + 27.4757i 0.488165 + 1.11890i
\(604\) 0.790321 + 5.49680i 0.0321577 + 0.223662i
\(605\) 1.08133 + 4.45732i 0.0439625 + 0.181216i
\(606\) 14.5343 + 0.816251i 0.590416 + 0.0331579i
\(607\) 28.1267 + 2.68578i 1.14163 + 0.109012i 0.648691 0.761052i \(-0.275317\pi\)
0.492938 + 0.870065i \(0.335923\pi\)
\(608\) 0.346645 1.42889i 0.0140583 0.0579492i
\(609\) 49.6155 11.5909i 2.01052 0.469686i
\(610\) −1.50461 0.289990i −0.0609198 0.0117413i
\(611\) 0.538524 0.158125i 0.0217864 0.00639705i
\(612\) 17.3736 + 5.42385i 0.702285 + 0.219246i
\(613\) 1.74233 1.11973i 0.0703722 0.0452254i −0.504982 0.863130i \(-0.668501\pi\)
0.575354 + 0.817905i \(0.304864\pi\)
\(614\) −3.98297 16.4180i −0.160740 0.662578i
\(615\) 3.07918 + 4.88207i 0.124165 + 0.196864i
\(616\) 8.76036 + 12.3022i 0.352965 + 0.495670i
\(617\) 13.6605 + 10.7428i 0.549952 + 0.432487i 0.854078 0.520144i \(-0.174122\pi\)
−0.304126 + 0.952632i \(0.598364\pi\)
\(618\) 12.8986 16.1180i 0.518856 0.648359i
\(619\) −11.7498 + 33.9488i −0.472264 + 1.36452i 0.417741 + 0.908566i \(0.362822\pi\)
−0.890005 + 0.455951i \(0.849299\pi\)
\(620\) 0.714698 0.0287030
\(621\) 4.47583 24.5146i 0.179609 0.983738i
\(622\) 10.6767 0.428096
\(623\) 3.81009 11.0085i 0.152648 0.441048i
\(624\) 1.08229 1.35242i 0.0433263 0.0541402i
\(625\) −18.1998 14.3125i −0.727991 0.572498i
\(626\) 2.68211 + 3.76649i 0.107198 + 0.150539i
\(627\) 6.65817 + 10.5566i 0.265902 + 0.421589i
\(628\) 4.00764 + 16.5197i 0.159922 + 0.659208i
\(629\) 44.0787 28.3277i 1.75753 1.12950i
\(630\) −2.39529 + 2.20738i −0.0954305 + 0.0879441i
\(631\) 2.88013 0.845681i 0.114656 0.0336660i −0.223901 0.974612i \(-0.571879\pi\)
0.338557 + 0.940946i \(0.390061\pi\)
\(632\) −9.35235 1.80252i −0.372017 0.0717003i
\(633\) −37.0879 + 8.66426i −1.47411 + 0.344373i
\(634\) −1.98790 + 8.19424i −0.0789496 + 0.325435i
\(635\) 1.54452 + 0.147484i 0.0612926 + 0.00585273i
\(636\) −16.8740 0.947648i −0.669097 0.0375767i
\(637\) −0.588632 2.42638i −0.0233225 0.0961365i
\(638\) −6.65778 46.3059i −0.263584 1.83327i
\(639\) 21.5170 29.1543i 0.851200 1.15333i
\(640\) 0.0501420 0.348745i 0.00198203 0.0137854i
\(641\) −1.09095 + 22.9019i −0.0430900 + 0.904570i 0.869058 + 0.494709i \(0.164726\pi\)
−0.912148 + 0.409860i \(0.865578\pi\)
\(642\) 21.6448 + 10.1081i 0.854252 + 0.398935i
\(643\) −2.94505 + 5.10098i −0.116142 + 0.201163i −0.918236 0.396035i \(-0.870386\pi\)
0.802094 + 0.597198i \(0.203719\pi\)
\(644\) 14.6017 + 2.28283i 0.575388 + 0.0899562i
\(645\) 0.629189 6.04556i 0.0247743 0.238044i
\(646\) −2.91755 + 8.42970i −0.114789 + 0.331662i
\(647\) 16.4392 + 10.5648i 0.646290 + 0.415346i 0.822309 0.569041i \(-0.192686\pi\)
−0.176019 + 0.984387i \(0.556322\pi\)
\(648\) 4.76240 7.63673i 0.187085 0.299999i
\(649\) −17.5329 + 38.3916i −0.688226 + 1.50700i
\(650\) 3.83294 3.01426i 0.150340 0.118229i
\(651\) −4.10937 + 10.0170i −0.161059 + 0.392599i
\(652\) −0.515025 10.8117i −0.0201699 0.423419i
\(653\) −44.5871 4.25755i −1.74483 0.166611i −0.826633 0.562741i \(-0.809747\pi\)
−0.918194 + 0.396130i \(0.870353\pi\)
\(654\) 9.30957 7.92922i 0.364033 0.310057i
\(655\) 2.27748 + 0.438947i 0.0889883 + 0.0171511i
\(656\) 6.19389 7.14813i 0.241831 0.279088i
\(657\) 16.9892 1.33121i 0.662810 0.0519355i
\(658\) 0.718457 + 1.57320i 0.0280084 + 0.0613298i
\(659\) −11.6668 6.01465i −0.454474 0.234297i 0.215762 0.976446i \(-0.430777\pi\)
−0.670235 + 0.742149i \(0.733807\pi\)
\(660\) 1.82870 + 2.36652i 0.0711822 + 0.0921165i
\(661\) −29.7893 11.9258i −1.15867 0.463861i −0.288918 0.957354i \(-0.593296\pi\)
−0.869750 + 0.493493i \(0.835720\pi\)
\(662\) 9.18722 + 12.9016i 0.357071 + 0.501436i
\(663\) −7.31628 + 7.54363i −0.284141 + 0.292970i
\(664\) 0.261592 5.49148i 0.0101517 0.213111i
\(665\) −1.04544 1.20651i −0.0405406 0.0467864i
\(666\) −8.05669 24.6252i −0.312190 0.954205i
\(667\) −36.9622 27.0111i −1.43118 1.04587i
\(668\) 8.78736 + 15.2202i 0.339993 + 0.588885i
\(669\) −17.9988 8.40544i −0.695874 0.324973i
\(670\) −3.12923 + 1.61323i −0.120893 + 0.0623245i
\(671\) −16.7537 13.1753i −0.646771 0.508626i
\(672\) 4.59963 + 2.70799i 0.177434 + 0.104463i
\(673\) 0.952822 0.749307i 0.0367286 0.0288837i −0.599626 0.800280i \(-0.704684\pi\)
0.636355 + 0.771397i \(0.280442\pi\)
\(674\) 24.4755 + 7.18666i 0.942761 + 0.276820i
\(675\) 17.9456 17.8845i 0.690725 0.688375i
\(676\) −4.98493 10.9155i −0.191728 0.419826i
\(677\) −8.74253 8.33598i −0.336003 0.320378i 0.503228 0.864154i \(-0.332146\pi\)
−0.839230 + 0.543776i \(0.816994\pi\)
\(678\) 16.2301 + 17.3140i 0.623313 + 0.664940i
\(679\) 2.41783 + 6.98587i 0.0927879 + 0.268093i
\(680\) −0.503943 + 2.07728i −0.0193253 + 0.0796602i
\(681\) −1.22779 1.08230i −0.0470491 0.0414738i
\(682\) 8.83610 + 4.55532i 0.338352 + 0.174432i
\(683\) 48.9576 + 14.3752i 1.87331 + 0.550053i 0.997758 + 0.0669306i \(0.0213206\pi\)
0.875553 + 0.483123i \(0.160498\pi\)
\(684\) 3.66970 + 2.44752i 0.140314 + 0.0935833i
\(685\) −1.64075 + 3.59275i −0.0626900 + 0.137272i
\(686\) −12.8838 + 5.15791i −0.491907 + 0.196930i
\(687\) −16.3482 41.8639i −0.623724 1.59721i
\(688\) −9.78012 + 1.88496i −0.372863 + 0.0718635i
\(689\) 4.87910 8.45085i 0.185879 0.321952i
\(690\) 2.90702 + 0.338694i 0.110668 + 0.0128939i
\(691\) −12.9789 22.4802i −0.493742 0.855186i 0.506232 0.862397i \(-0.331038\pi\)
−0.999974 + 0.00721095i \(0.997705\pi\)
\(692\) −12.1396 14.0099i −0.461480 0.532577i
\(693\) −43.6832 + 12.0237i −1.65939 + 0.456743i
\(694\) −1.71256 + 11.9111i −0.0650080 + 0.452141i
\(695\) −6.56792 + 0.627160i −0.249135 + 0.0237895i
\(696\) −8.82027 13.9846i −0.334331 0.530085i
\(697\) −41.5294 + 39.5982i −1.57304 + 1.49989i
\(698\) 0.148335 + 3.11394i 0.00561457 + 0.117864i
\(699\) 4.18371 1.40828i 0.158242 0.0532661i
\(700\) 10.8746 + 10.3689i 0.411022 + 0.391909i
\(701\) −1.77743 + 2.05127i −0.0671327 + 0.0774752i −0.788322 0.615262i \(-0.789050\pi\)
0.721190 + 0.692738i \(0.243596\pi\)
\(702\) 2.69704 + 4.44180i 0.101793 + 0.167645i
\(703\) 12.1842 3.57762i 0.459538 0.134932i
\(704\) 2.84275 3.99208i 0.107140 0.150457i
\(705\) 0.154344 + 0.305739i 0.00581292 + 0.0115148i
\(706\) −20.4607 + 19.5092i −0.770049 + 0.734240i
\(707\) −24.0448 9.62609i −0.904299 0.362027i
\(708\) −0.126810 + 14.9159i −0.00476581 + 0.560572i
\(709\) −23.7491 + 9.50770i −0.891916 + 0.357069i −0.771931 0.635706i \(-0.780709\pi\)
−0.119985 + 0.992776i \(0.538285\pi\)
\(710\) 3.57999 + 2.30072i 0.134355 + 0.0863445i
\(711\) 14.7054 24.4988i 0.551494 0.918778i
\(712\) −3.78019 −0.141669
\(713\) 9.23161 3.06863i 0.345727 0.114921i
\(714\) −26.2172 19.0071i −0.981152 0.711323i
\(715\) −1.69562 + 0.326803i −0.0634124 + 0.0122217i
\(716\) 4.70668 2.42646i 0.175897 0.0906811i
\(717\) −17.0645 + 17.5948i −0.637286 + 0.657089i
\(718\) −21.4224 + 2.04559i −0.799478 + 0.0763409i
\(719\) −2.57620 17.9179i −0.0960760 0.668223i −0.979765 0.200149i \(-0.935857\pi\)
0.883689 0.468074i \(-0.155052\pi\)
\(720\) 0.931123 + 0.500246i 0.0347009 + 0.0186431i
\(721\) −30.8985 + 19.8573i −1.15072 + 0.739523i
\(722\) 9.76706 13.7159i 0.363492 0.510454i
\(723\) −8.43874 + 7.18752i −0.313840 + 0.267307i
\(724\) 0.910253 + 2.63000i 0.0338293 + 0.0977433i
\(725\) −15.2230 43.9841i −0.565369 1.63353i
\(726\) 4.07880 + 22.1757i 0.151378 + 0.823016i
\(727\) 13.7798 19.3510i 0.511064 0.717689i −0.475744 0.879584i \(-0.657821\pi\)
0.986808 + 0.161895i \(0.0517605\pi\)
\(728\) −2.59262 + 1.66618i −0.0960890 + 0.0617527i
\(729\) 16.6178 + 21.2802i 0.615476 + 0.788156i
\(730\) 0.284827 + 1.98101i 0.0105419 + 0.0733206i
\(731\) 60.1528 5.74389i 2.22483 0.212446i
\(732\) −7.30504 1.83808i −0.270002 0.0679374i
\(733\) 44.0470 22.7078i 1.62691 0.838732i 0.628784 0.777580i \(-0.283553\pi\)
0.998128 0.0611517i \(-0.0194773\pi\)
\(734\) −23.7837 + 4.58392i −0.877871 + 0.169196i
\(735\) 1.39121 0.621104i 0.0513155 0.0229098i
\(736\) −0.849698 4.71996i −0.0313203 0.173980i
\(737\) −48.9702 −1.80384
\(738\) 13.7676 + 24.8111i 0.506794 + 0.913310i
\(739\) 5.22981 + 3.36099i 0.192382 + 0.123636i 0.633286 0.773918i \(-0.281706\pi\)
−0.440904 + 0.897554i \(0.645342\pi\)
\(740\) 2.82495 1.13094i 0.103847 0.0415742i
\(741\) −2.21640 + 1.25464i −0.0814215 + 0.0460903i
\(742\) 27.9155 + 11.1757i 1.02481 + 0.410271i
\(743\) −28.8403 + 27.4991i −1.05805 + 1.00885i −0.0581017 + 0.998311i \(0.518505\pi\)
−0.999945 + 0.0105344i \(0.996647\pi\)
\(744\) 3.50791 + 0.197005i 0.128606 + 0.00722256i
\(745\) 0.888277 1.24741i 0.0325440 0.0457016i
\(746\) −31.5350 + 9.25951i −1.15458 + 0.339015i
\(747\) 15.2053 + 6.38932i 0.556331 + 0.233773i
\(748\) −19.4706 + 22.4702i −0.711915 + 0.821594i
\(749\) −30.7606 29.3302i −1.12397 1.07170i
\(750\) 4.52103 + 3.98529i 0.165085 + 0.145522i
\(751\) 0.00591433 + 0.124157i 0.000215817 + 0.00453056i 0.998973 0.0453165i \(-0.0144296\pi\)
−0.998757 + 0.0498471i \(0.984127\pi\)
\(752\) 0.406175 0.387288i 0.0148117 0.0141229i
\(753\) −40.7742 + 1.59502i −1.48590 + 0.0581258i
\(754\) 9.50319 0.907445i 0.346086 0.0330472i
\(755\) 0.278455 1.93670i 0.0101340 0.0704836i
\(756\) −12.3651 + 10.1741i −0.449714 + 0.370028i
\(757\) 7.23701 + 8.35196i 0.263034 + 0.303557i 0.871869 0.489740i \(-0.162908\pi\)
−0.608835 + 0.793297i \(0.708363\pi\)
\(758\) −7.88668 13.6601i −0.286457 0.496158i
\(759\) 33.7819 + 22.7161i 1.22620 + 0.824542i
\(760\) −0.259023 + 0.448641i −0.00939575 + 0.0162739i
\(761\) 28.7537 5.54183i 1.04232 0.200891i 0.360766 0.932656i \(-0.382515\pi\)
0.681557 + 0.731765i \(0.261303\pi\)
\(762\) 7.54024 + 1.14963i 0.273154 + 0.0416468i
\(763\) −20.1987 + 8.08633i −0.731241 + 0.292745i
\(764\) −1.72386 + 3.77472i −0.0623670 + 0.136565i
\(765\) −5.33491 3.55814i −0.192884 0.128645i
\(766\) 15.9067 + 4.67063i 0.574733 + 0.168757i
\(767\) −7.65515 3.94650i −0.276411 0.142500i
\(768\) 0.342240 1.69790i 0.0123495 0.0612678i
\(769\) 5.54738 22.8666i 0.200044 0.824591i −0.779995 0.625785i \(-0.784779\pi\)
0.980039 0.198806i \(-0.0637062\pi\)
\(770\) −1.74037 5.02846i −0.0627184 0.181213i