Properties

Label 400.2.bd.a.163.36
Level $400$
Weight $2$
Character 400.163
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bd (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 163.36
Character \(\chi\) \(=\) 400.163
Dual form 400.2.bd.a.27.36

$q$-expansion

\(f(q)\) \(=\) \(q+(0.498352 + 1.32350i) q^{2} +(-0.138855 - 0.427353i) q^{3} +(-1.50329 + 1.31914i) q^{4} +(-2.04290 - 0.909148i) q^{5} +(0.496401 - 0.396747i) q^{6} +(3.16111 - 3.16111i) q^{7} +(-2.49504 - 1.33221i) q^{8} +(2.26370 - 1.64468i) q^{9} +O(q^{10})\) \(q+(0.498352 + 1.32350i) q^{2} +(-0.138855 - 0.427353i) q^{3} +(-1.50329 + 1.31914i) q^{4} +(-2.04290 - 0.909148i) q^{5} +(0.496401 - 0.396747i) q^{6} +(3.16111 - 3.16111i) q^{7} +(-2.49504 - 1.33221i) q^{8} +(2.26370 - 1.64468i) q^{9} +(0.185171 - 3.15685i) q^{10} +(-0.302604 - 1.91056i) q^{11} +(0.772476 + 0.459266i) q^{12} +(1.90637 + 2.62389i) q^{13} +(5.75907 + 2.60838i) q^{14} +(-0.104859 + 0.999280i) q^{15} +(0.519765 - 3.96609i) q^{16} +(-1.32954 - 2.60937i) q^{17} +(3.30484 + 2.17638i) q^{18} +(0.699823 - 0.356578i) q^{19} +(4.27037 - 1.32815i) q^{20} +(-1.78985 - 0.911973i) q^{21} +(2.37782 - 1.35263i) q^{22} +(0.505889 + 3.19406i) q^{23} +(-0.222873 + 1.25125i) q^{24} +(3.34690 + 3.71460i) q^{25} +(-2.52267 + 3.83070i) q^{26} +(-2.10777 - 1.53138i) q^{27} +(-0.582136 + 8.92201i) q^{28} +(-0.0954011 - 0.0486093i) q^{29} +(-1.37480 + 0.359212i) q^{30} +(7.25835 + 2.35838i) q^{31} +(5.50813 - 1.28860i) q^{32} +(-0.774467 + 0.394611i) q^{33} +(2.79091 - 3.06002i) q^{34} +(-9.33177 + 3.58392i) q^{35} +(-1.23345 + 5.45855i) q^{36} +(-4.32040 - 5.94652i) q^{37} +(0.820688 + 0.748512i) q^{38} +(0.856619 - 1.17903i) q^{39} +(3.88595 + 4.98993i) q^{40} +(-5.87772 - 8.08998i) q^{41} +(0.315020 - 2.82334i) q^{42} -3.10805i q^{43} +(2.97519 + 2.47296i) q^{44} +(-6.11977 + 1.30187i) q^{45} +(-3.97522 + 2.26131i) q^{46} +(2.89101 - 5.67393i) q^{47} +(-1.76709 + 0.328589i) q^{48} -12.9853i q^{49} +(-3.24833 + 6.28079i) q^{50} +(-0.930507 + 0.930507i) q^{51} +(-6.32710 - 1.42971i) q^{52} +(-0.573716 - 1.76571i) q^{53} +(0.976371 - 3.55279i) q^{54} +(-1.11880 + 4.17821i) q^{55} +(-12.0984 + 3.67585i) q^{56} +(-0.249559 - 0.249559i) q^{57} +(0.0167909 - 0.150488i) q^{58} +(-2.12483 + 13.4157i) q^{59} +(-1.16055 - 1.64053i) q^{60} +(1.35699 + 8.56769i) q^{61} +(0.495903 + 10.7817i) q^{62} +(1.95681 - 12.3548i) q^{63} +(4.45045 + 6.64782i) q^{64} +(-1.50902 - 7.09353i) q^{65} +(-0.908223 - 0.828350i) q^{66} +(5.57114 + 1.81017i) q^{67} +(5.44079 + 2.16879i) q^{68} +(1.29475 - 0.659706i) q^{69} +(-9.39382 - 10.5645i) q^{70} +(3.86036 + 11.8810i) q^{71} +(-7.83907 + 1.08781i) q^{72} +(-16.4535 + 2.60598i) q^{73} +(5.71712 - 8.68150i) q^{74} +(1.12271 - 1.94610i) q^{75} +(-0.581663 + 1.45920i) q^{76} +(-6.99607 - 5.08295i) q^{77} +(1.98735 + 0.546158i) q^{78} +(3.79496 + 11.6797i) q^{79} +(-4.66759 + 7.62978i) q^{80} +(2.23221 - 6.87002i) q^{81} +(7.77790 - 11.8108i) q^{82} +(3.03136 - 9.32956i) q^{83} +(3.89368 - 0.990091i) q^{84} +(0.343816 + 6.53943i) q^{85} +(4.11350 - 1.54890i) q^{86} +(-0.00752637 + 0.0475196i) q^{87} +(-1.79026 + 5.17006i) q^{88} +(1.78872 + 1.29958i) q^{89} +(-4.77282 - 7.45072i) q^{90} +(14.3207 + 2.26817i) q^{91} +(-4.97390 - 4.13426i) q^{92} -3.42935i q^{93} +(8.95017 + 0.998632i) q^{94} +(-1.75385 + 0.0922102i) q^{95} +(-1.31552 - 2.17499i) q^{96} +(-1.86582 - 0.950684i) q^{97} +(17.1860 - 6.47124i) q^{98} +(-3.82726 - 3.82726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} - 12q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 10q^{14} + 12q^{15} - 46q^{16} - 16q^{17} + 16q^{18} - 10q^{19} - 2q^{20} + 24q^{21} + 28q^{22} - 16q^{23} + 12q^{24} - 16q^{26} + 6q^{27} - 38q^{28} - 10q^{29} + 34q^{30} - 38q^{32} - 16q^{33} - 10q^{34} + 20q^{35} + 10q^{36} - 10q^{37} - 34q^{38} - 20q^{39} + 8q^{40} + 6q^{42} - 80q^{44} + 8q^{45} - 6q^{46} - 24q^{47} + 100q^{48} - 74q^{50} - 16q^{51} - 16q^{52} - 6q^{53} - 20q^{54} - 16q^{55} - 6q^{56} + 12q^{57} + 62q^{58} - 10q^{59} - 110q^{60} - 6q^{61} + 26q^{62} + 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} - 70q^{67} + 46q^{68} + 2q^{69} + 42q^{70} - 12q^{71} - 96q^{72} + 8q^{73} - 8q^{74} - 14q^{75} - 16q^{76} - 48q^{77} + 148q^{78} - 124q^{80} - 96q^{81} - 10q^{82} - 46q^{83} + 2q^{84} - 18q^{85} + 114q^{86} - 72q^{87} + 6q^{88} - 54q^{90} - 76q^{91} - 6q^{92} - 10q^{94} + 160q^{95} + 24q^{96} - 16q^{97} + 88q^{98} + 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{19}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.498352 + 1.32350i 0.352388 + 0.935854i
\(3\) −0.138855 0.427353i −0.0801682 0.246732i 0.902937 0.429772i \(-0.141406\pi\)
−0.983105 + 0.183040i \(0.941406\pi\)
\(4\) −1.50329 + 1.31914i −0.751645 + 0.659568i
\(5\) −2.04290 0.909148i −0.913614 0.406584i
\(6\) 0.496401 0.396747i 0.202655 0.161971i
\(7\) 3.16111 3.16111i 1.19479 1.19479i 0.219082 0.975706i \(-0.429694\pi\)
0.975706 0.219082i \(-0.0703062\pi\)
\(8\) −2.49504 1.33221i −0.882130 0.471006i
\(9\) 2.26370 1.64468i 0.754567 0.548225i
\(10\) 0.185171 3.15685i 0.0585562 0.998284i
\(11\) −0.302604 1.91056i −0.0912384 0.576057i −0.990377 0.138393i \(-0.955806\pi\)
0.899139 0.437663i \(-0.144194\pi\)
\(12\) 0.772476 + 0.459266i 0.222995 + 0.132579i
\(13\) 1.90637 + 2.62389i 0.528732 + 0.727737i 0.986937 0.161109i \(-0.0515072\pi\)
−0.458204 + 0.888847i \(0.651507\pi\)
\(14\) 5.75907 + 2.60838i 1.53918 + 0.697118i
\(15\) −0.104859 + 0.999280i −0.0270745 + 0.258013i
\(16\) 0.519765 3.96609i 0.129941 0.991522i
\(17\) −1.32954 2.60937i −0.322461 0.632864i 0.671694 0.740828i \(-0.265567\pi\)
−0.994155 + 0.107964i \(0.965567\pi\)
\(18\) 3.30484 + 2.17638i 0.778959 + 0.512977i
\(19\) 0.699823 0.356578i 0.160550 0.0818045i −0.371869 0.928285i \(-0.621283\pi\)
0.532419 + 0.846481i \(0.321283\pi\)
\(20\) 4.27037 1.32815i 0.954883 0.296983i
\(21\) −1.78985 0.911973i −0.390577 0.199009i
\(22\) 2.37782 1.35263i 0.506954 0.288381i
\(23\) 0.505889 + 3.19406i 0.105485 + 0.666008i 0.982601 + 0.185729i \(0.0594646\pi\)
−0.877116 + 0.480279i \(0.840535\pi\)
\(24\) −0.222873 + 1.25125i −0.0454937 + 0.255410i
\(25\) 3.34690 + 3.71460i 0.669380 + 0.742921i
\(26\) −2.52267 + 3.83070i −0.494737 + 0.751262i
\(27\) −2.10777 1.53138i −0.405640 0.294715i
\(28\) −0.582136 + 8.92201i −0.110013 + 1.68610i
\(29\) −0.0954011 0.0486093i −0.0177155 0.00902652i 0.445110 0.895476i \(-0.353164\pi\)
−0.462826 + 0.886449i \(0.653164\pi\)
\(30\) −1.37480 + 0.359212i −0.251003 + 0.0655829i
\(31\) 7.25835 + 2.35838i 1.30364 + 0.423578i 0.876846 0.480771i \(-0.159643\pi\)
0.426793 + 0.904349i \(0.359643\pi\)
\(32\) 5.50813 1.28860i 0.973709 0.227795i
\(33\) −0.774467 + 0.394611i −0.134817 + 0.0686929i
\(34\) 2.79091 3.06002i 0.478637 0.524790i
\(35\) −9.33177 + 3.58392i −1.57736 + 0.605794i
\(36\) −1.23345 + 5.45855i −0.205575 + 0.909759i
\(37\) −4.32040 5.94652i −0.710269 0.977602i −0.999791 0.0204306i \(-0.993496\pi\)
0.289522 0.957171i \(-0.406504\pi\)
\(38\) 0.820688 + 0.748512i 0.133133 + 0.121425i
\(39\) 0.856619 1.17903i 0.137169 0.188797i
\(40\) 3.88595 + 4.98993i 0.614422 + 0.788977i
\(41\) −5.87772 8.08998i −0.917945 1.26344i −0.964380 0.264522i \(-0.914786\pi\)
0.0464346 0.998921i \(-0.485214\pi\)
\(42\) 0.315020 2.82334i 0.0486086 0.435651i
\(43\) 3.10805i 0.473973i −0.971513 0.236987i \(-0.923840\pi\)
0.971513 0.236987i \(-0.0761597\pi\)
\(44\) 2.97519 + 2.47296i 0.448527 + 0.372812i
\(45\) −6.11977 + 1.30187i −0.912282 + 0.194071i
\(46\) −3.97522 + 2.26131i −0.586114 + 0.333412i
\(47\) 2.89101 5.67393i 0.421697 0.827628i −0.578234 0.815871i \(-0.696258\pi\)
0.999931 0.0117564i \(-0.00374226\pi\)
\(48\) −1.76709 + 0.328589i −0.255058 + 0.0474278i
\(49\) 12.9853i 1.85504i
\(50\) −3.24833 + 6.28079i −0.459384 + 0.888238i
\(51\) −0.930507 + 0.930507i −0.130297 + 0.130297i
\(52\) −6.32710 1.42971i −0.877411 0.198266i
\(53\) −0.573716 1.76571i −0.0788059 0.242540i 0.903890 0.427764i \(-0.140699\pi\)
−0.982696 + 0.185225i \(0.940699\pi\)
\(54\) 0.976371 3.55279i 0.132867 0.483474i
\(55\) −1.11880 + 4.17821i −0.150859 + 0.563389i
\(56\) −12.0984 + 3.67585i −1.61671 + 0.491205i
\(57\) −0.249559 0.249559i −0.0330548 0.0330548i
\(58\) 0.0167909 0.150488i 0.00220476 0.0197600i
\(59\) −2.12483 + 13.4157i −0.276630 + 1.74657i 0.323097 + 0.946366i \(0.395276\pi\)
−0.599727 + 0.800205i \(0.704724\pi\)
\(60\) −1.16055 1.64053i −0.149827 0.211792i
\(61\) 1.35699 + 8.56769i 0.173745 + 1.09698i 0.908265 + 0.418394i \(0.137407\pi\)
−0.734521 + 0.678586i \(0.762593\pi\)
\(62\) 0.495903 + 10.7817i 0.0629797 + 1.36928i
\(63\) 1.95681 12.3548i 0.246535 1.55656i
\(64\) 4.45045 + 6.64782i 0.556306 + 0.830978i
\(65\) −1.50902 7.09353i −0.187171 0.879845i
\(66\) −0.908223 0.828350i −0.111795 0.101963i
\(67\) 5.57114 + 1.81017i 0.680623 + 0.221148i 0.628868 0.777512i \(-0.283518\pi\)
0.0517551 + 0.998660i \(0.483518\pi\)
\(68\) 5.44079 + 2.16879i 0.659793 + 0.263005i
\(69\) 1.29475 0.659706i 0.155869 0.0794192i
\(70\) −9.39382 10.5645i −1.12278 1.26270i
\(71\) 3.86036 + 11.8810i 0.458141 + 1.41001i 0.867408 + 0.497597i \(0.165784\pi\)
−0.409268 + 0.912414i \(0.634216\pi\)
\(72\) −7.83907 + 1.08781i −0.923844 + 0.128200i
\(73\) −16.4535 + 2.60598i −1.92574 + 0.305007i −0.997718 0.0675177i \(-0.978492\pi\)
−0.928022 + 0.372525i \(0.878492\pi\)
\(74\) 5.71712 8.68150i 0.664602 1.00920i
\(75\) 1.12271 1.94610i 0.129640 0.224716i
\(76\) −0.581663 + 1.45920i −0.0667213 + 0.167382i
\(77\) −6.99607 5.08295i −0.797277 0.579255i
\(78\) 1.98735 + 0.546158i 0.225023 + 0.0618403i
\(79\) 3.79496 + 11.6797i 0.426967 + 1.31407i 0.901099 + 0.433614i \(0.142762\pi\)
−0.474132 + 0.880454i \(0.657238\pi\)
\(80\) −4.66759 + 7.62978i −0.521852 + 0.853036i
\(81\) 2.23221 6.87002i 0.248023 0.763336i
\(82\) 7.77790 11.8108i 0.858925 1.30428i
\(83\) 3.03136 9.32956i 0.332735 1.02405i −0.635092 0.772436i \(-0.719038\pi\)
0.967827 0.251616i \(-0.0809620\pi\)
\(84\) 3.89368 0.990091i 0.424835 0.108028i
\(85\) 0.343816 + 6.53943i 0.0372921 + 0.709301i
\(86\) 4.11350 1.54890i 0.443570 0.167023i
\(87\) −0.00752637 + 0.0475196i −0.000806911 + 0.00509464i
\(88\) −1.79026 + 5.17006i −0.190842 + 0.551131i
\(89\) 1.78872 + 1.29958i 0.189604 + 0.137755i 0.678538 0.734566i \(-0.262614\pi\)
−0.488934 + 0.872321i \(0.662614\pi\)
\(90\) −4.77282 7.45072i −0.503100 0.785374i
\(91\) 14.3207 + 2.26817i 1.50122 + 0.237769i
\(92\) −4.97390 4.13426i −0.518565 0.431027i
\(93\) 3.42935i 0.355607i
\(94\) 8.95017 + 0.998632i 0.923140 + 0.103001i
\(95\) −1.75385 + 0.0922102i −0.179941 + 0.00946057i
\(96\) −1.31552 2.17499i −0.134265 0.221984i
\(97\) −1.86582 0.950684i −0.189446 0.0965273i 0.356695 0.934221i \(-0.383904\pi\)
−0.546141 + 0.837694i \(0.683904\pi\)
\(98\) 17.1860 6.47124i 1.73605 0.653694i
\(99\) −3.82726 3.82726i −0.384654 0.384654i
\(100\) −9.93142 1.16912i −0.993142 0.116912i
\(101\) −3.27368 + 3.27368i −0.325743 + 0.325743i −0.850965 0.525222i \(-0.823982\pi\)
0.525222 + 0.850965i \(0.323982\pi\)
\(102\) −1.69524 0.767803i −0.167854 0.0760238i
\(103\) −6.75368 + 13.2548i −0.665460 + 1.30604i 0.273454 + 0.961885i \(0.411834\pi\)
−0.938914 + 0.344153i \(0.888166\pi\)
\(104\) −1.26090 9.08640i −0.123641 0.890995i
\(105\) 2.82737 + 3.49031i 0.275923 + 0.340619i
\(106\) 2.05101 1.63926i 0.199211 0.159219i
\(107\) −1.46915 −0.142029 −0.0710143 0.997475i \(-0.522624\pi\)
−0.0710143 + 0.997475i \(0.522624\pi\)
\(108\) 5.18869 0.478317i 0.499282 0.0460261i
\(109\) −2.62833 + 16.5946i −0.251748 + 1.58948i 0.460573 + 0.887622i \(0.347644\pi\)
−0.712321 + 0.701854i \(0.752356\pi\)
\(110\) −6.08740 + 0.601494i −0.580411 + 0.0573502i
\(111\) −1.94135 + 2.67204i −0.184265 + 0.253619i
\(112\) −10.8942 14.1803i −1.02941 1.33991i
\(113\) −0.903588 0.143114i −0.0850024 0.0134631i 0.113788 0.993505i \(-0.463701\pi\)
−0.198791 + 0.980042i \(0.563701\pi\)
\(114\) 0.205922 0.454658i 0.0192864 0.0425826i
\(115\) 1.87039 6.98508i 0.174415 0.651362i
\(116\) 0.207538 0.0527731i 0.0192694 0.00489986i
\(117\) 8.63091 + 2.80435i 0.797928 + 0.259262i
\(118\) −18.8145 + 3.87351i −1.73202 + 0.356586i
\(119\) −12.4513 4.04568i −1.14141 0.370867i
\(120\) 1.59288 2.35355i 0.145409 0.214849i
\(121\) 6.90293 2.24290i 0.627540 0.203900i
\(122\) −10.6631 + 6.06570i −0.965388 + 0.549162i
\(123\) −2.64112 + 3.63520i −0.238142 + 0.327775i
\(124\) −14.0224 + 6.02942i −1.25925 + 0.541458i
\(125\) −3.46026 10.6314i −0.309495 0.950901i
\(126\) 17.3268 3.56722i 1.54359 0.317793i
\(127\) −1.51205 9.54671i −0.134173 0.847134i −0.959342 0.282247i \(-0.908920\pi\)
0.825169 0.564886i \(-0.191080\pi\)
\(128\) −6.58048 + 9.20311i −0.581638 + 0.813448i
\(129\) −1.32823 + 0.431569i −0.116944 + 0.0379976i
\(130\) 8.63625 5.53226i 0.757449 0.485211i
\(131\) 1.76360 + 3.46126i 0.154087 + 0.302412i 0.955126 0.296199i \(-0.0957193\pi\)
−0.801039 + 0.598612i \(0.795719\pi\)
\(132\) 0.643704 1.61484i 0.0560272 0.140554i
\(133\) 1.08504 3.33940i 0.0940847 0.289563i
\(134\) 0.380630 + 8.27550i 0.0328814 + 0.714894i
\(135\) 2.91371 + 5.04474i 0.250772 + 0.434182i
\(136\) −0.158965 + 8.28170i −0.0136312 + 0.710149i
\(137\) 16.5237 + 2.61710i 1.41172 + 0.223594i 0.815280 0.579067i \(-0.196583\pi\)
0.596436 + 0.802661i \(0.296583\pi\)
\(138\) 1.51836 + 1.38483i 0.129251 + 0.117884i
\(139\) 4.09408 0.648438i 0.347255 0.0549998i 0.0196292 0.999807i \(-0.493751\pi\)
0.327626 + 0.944808i \(0.393751\pi\)
\(140\) 9.30068 17.6975i 0.786051 1.49572i
\(141\) −2.82620 0.447626i −0.238009 0.0376969i
\(142\) −13.8006 + 11.0301i −1.15812 + 0.925624i
\(143\) 4.43624 4.43624i 0.370977 0.370977i
\(144\) −5.34633 9.83288i −0.445528 0.819407i
\(145\) 0.150702 + 0.186038i 0.0125151 + 0.0154496i
\(146\) −11.6487 20.4775i −0.964050 1.69473i
\(147\) −5.54929 + 1.80307i −0.457698 + 0.148715i
\(148\) 14.3391 + 3.24016i 1.17867 + 0.266339i
\(149\) −3.07033 3.07033i −0.251532 0.251532i 0.570067 0.821598i \(-0.306917\pi\)
−0.821598 + 0.570067i \(0.806917\pi\)
\(150\) 3.13516 + 0.516063i 0.255985 + 0.0421364i
\(151\) −1.80501 −0.146889 −0.0734447 0.997299i \(-0.523399\pi\)
−0.0734447 + 0.997299i \(0.523399\pi\)
\(152\) −2.22112 0.0426339i −0.180157 0.00345807i
\(153\) −7.30124 3.72017i −0.590270 0.300758i
\(154\) 3.24076 11.7924i 0.261148 0.950257i
\(155\) −12.6840 11.4169i −1.01880 0.917025i
\(156\) 0.267559 + 2.90243i 0.0214219 + 0.232380i
\(157\) 12.3813 0.988134 0.494067 0.869424i \(-0.335510\pi\)
0.494067 + 0.869424i \(0.335510\pi\)
\(158\) −13.5668 + 10.8432i −1.07932 + 0.862640i
\(159\) −0.674920 + 0.490358i −0.0535246 + 0.0388879i
\(160\) −12.4241 2.37522i −0.982211 0.187778i
\(161\) 11.6960 + 8.49761i 0.921771 + 0.669706i
\(162\) 10.2049 0.469371i 0.801771 0.0368773i
\(163\) −3.03532 + 2.20529i −0.237744 + 0.172731i −0.700278 0.713870i \(-0.746941\pi\)
0.462533 + 0.886602i \(0.346941\pi\)
\(164\) 19.5077 + 4.40809i 1.52330 + 0.344214i
\(165\) 1.94092 0.102045i 0.151100 0.00794423i
\(166\) 13.8583 0.637411i 1.07562 0.0494727i
\(167\) −0.414391 0.813288i −0.0320666 0.0629341i 0.874417 0.485174i \(-0.161244\pi\)
−0.906484 + 0.422240i \(0.861244\pi\)
\(168\) 3.25080 + 4.65986i 0.250805 + 0.359516i
\(169\) 0.766649 2.35950i 0.0589730 0.181500i
\(170\) −8.48358 + 3.71398i −0.650661 + 0.284849i
\(171\) 0.997736 1.95817i 0.0762987 0.149745i
\(172\) 4.09994 + 4.67230i 0.312617 + 0.356260i
\(173\) −12.1574 + 16.7332i −0.924306 + 1.27220i 0.0377330 + 0.999288i \(0.487986\pi\)
−0.962039 + 0.272911i \(0.912014\pi\)
\(174\) −0.0666428 + 0.0137204i −0.00505218 + 0.00104014i
\(175\) 22.3222 + 1.16235i 1.68740 + 0.0878658i
\(176\) −7.73475 + 0.207109i −0.583028 + 0.0156114i
\(177\) 6.02827 0.954783i 0.453112 0.0717659i
\(178\) −0.828579 + 3.01501i −0.0621046 + 0.225985i
\(179\) −1.46033 + 2.86607i −0.109151 + 0.214220i −0.939120 0.343588i \(-0.888358\pi\)
0.829970 + 0.557808i \(0.188358\pi\)
\(180\) 7.48246 10.0299i 0.557709 0.747585i
\(181\) 4.97561 + 9.76519i 0.369834 + 0.725841i 0.998662 0.0517036i \(-0.0164651\pi\)
−0.628828 + 0.777544i \(0.716465\pi\)
\(182\) 4.13482 + 20.0837i 0.306493 + 1.48871i
\(183\) 3.47300 1.76958i 0.256732 0.130811i
\(184\) 2.99294 8.64326i 0.220642 0.637189i
\(185\) 3.41989 + 16.0760i 0.251435 + 1.18193i
\(186\) 4.53874 1.70902i 0.332796 0.125312i
\(187\) −4.58304 + 3.32977i −0.335145 + 0.243497i
\(188\) 3.13865 + 12.3432i 0.228910 + 0.900220i
\(189\) −11.5038 + 1.82202i −0.836776 + 0.132532i
\(190\) −0.996075 2.27526i −0.0722629 0.165065i
\(191\) 11.1521 + 15.3496i 0.806939 + 1.11066i 0.991788 + 0.127890i \(0.0408204\pi\)
−0.184849 + 0.982767i \(0.559180\pi\)
\(192\) 2.22300 2.82500i 0.160431 0.203877i
\(193\) −11.7961 11.7961i −0.849105 0.849105i 0.140917 0.990021i \(-0.454995\pi\)
−0.990021 + 0.140917i \(0.954995\pi\)
\(194\) 0.328391 2.94319i 0.0235771 0.211308i
\(195\) −2.82191 + 1.62986i −0.202081 + 0.116717i
\(196\) 17.1293 + 19.5206i 1.22352 + 1.39433i
\(197\) 2.64012 0.857826i 0.188101 0.0611176i −0.213452 0.976954i \(-0.568471\pi\)
0.401553 + 0.915836i \(0.368471\pi\)
\(198\) 3.15805 6.97270i 0.224433 0.495528i
\(199\) 0.875199i 0.0620412i 0.999519 + 0.0310206i \(0.00987575\pi\)
−0.999519 + 0.0310206i \(0.990124\pi\)
\(200\) −3.40202 13.7268i −0.240559 0.970634i
\(201\) 2.63220i 0.185661i
\(202\) −5.96415 2.70126i −0.419636 0.190060i
\(203\) −0.455233 + 0.147914i −0.0319511 + 0.0103815i
\(204\) 0.171358 2.62629i 0.0119974 0.183877i
\(205\) 4.65260 + 21.8708i 0.324952 + 1.52752i
\(206\) −20.9085 2.33290i −1.45676 0.162541i
\(207\) 6.39837 + 6.39837i 0.444718 + 0.444718i
\(208\) 11.3975 6.19702i 0.790271 0.429686i
\(209\) −0.893033 1.22915i −0.0617724 0.0850224i
\(210\) −3.21039 + 5.48141i −0.221538 + 0.378253i
\(211\) 19.7744 3.13195i 1.36132 0.215613i 0.567306 0.823507i \(-0.307986\pi\)
0.794018 + 0.607894i \(0.207986\pi\)
\(212\) 3.19168 + 1.89757i 0.219205 + 0.130326i
\(213\) 4.54133 3.29947i 0.311167 0.226076i
\(214\) −0.732156 1.94442i −0.0500492 0.132918i
\(215\) −2.82568 + 6.34944i −0.192710 + 0.433028i
\(216\) 3.21884 + 6.62884i 0.219015 + 0.451036i
\(217\) 30.3996 15.4894i 2.06366 1.05149i
\(218\) −23.2728 + 4.79137i −1.57623 + 0.324513i
\(219\) 3.39833 + 6.66961i 0.229638 + 0.450690i
\(220\) −3.82974 7.75690i −0.258201 0.522970i
\(221\) 4.31211 8.46299i 0.290064 0.569282i
\(222\) −4.50392 1.23776i −0.302283 0.0830728i
\(223\) 9.43966 1.49510i 0.632126 0.100119i 0.167855 0.985812i \(-0.446316\pi\)
0.464272 + 0.885693i \(0.346316\pi\)
\(224\) 13.3384 21.4852i 0.891210 1.43554i
\(225\) 13.6857 + 2.90419i 0.912380 + 0.193613i
\(226\) −0.260894 1.26722i −0.0173544 0.0842941i
\(227\) −8.38929 + 11.5469i −0.556817 + 0.766393i −0.990917 0.134472i \(-0.957066\pi\)
0.434100 + 0.900864i \(0.357066\pi\)
\(228\) 0.704360 + 0.0459575i 0.0466474 + 0.00304361i
\(229\) 9.09831 17.8564i 0.601234 1.17999i −0.367066 0.930195i \(-0.619638\pi\)
0.968299 0.249792i \(-0.0803624\pi\)
\(230\) 10.1769 1.00557i 0.671042 0.0663053i
\(231\) −1.20077 + 3.69559i −0.0790048 + 0.243152i
\(232\) 0.173272 + 0.248376i 0.0113759 + 0.0163067i
\(233\) 2.50053 + 4.90756i 0.163815 + 0.321505i 0.958293 0.285788i \(-0.0922553\pi\)
−0.794478 + 0.607293i \(0.792255\pi\)
\(234\) 0.589678 + 12.8205i 0.0385485 + 0.838105i
\(235\) −11.0645 + 8.96292i −0.721768 + 0.584677i
\(236\) −14.5028 22.9706i −0.944054 1.49526i
\(237\) 4.46440 3.24358i 0.289994 0.210693i
\(238\) −0.850695 18.4955i −0.0551424 1.19888i
\(239\) 7.35811 + 5.34598i 0.475957 + 0.345803i 0.799758 0.600322i \(-0.204961\pi\)
−0.323801 + 0.946125i \(0.604961\pi\)
\(240\) 3.90873 + 0.935271i 0.252307 + 0.0603715i
\(241\) −23.1540 + 16.8223i −1.49148 + 1.08362i −0.517852 + 0.855470i \(0.673268\pi\)
−0.973626 + 0.228152i \(0.926732\pi\)
\(242\) 6.40856 + 8.01826i 0.411958 + 0.515433i
\(243\) −11.0619 −0.709622
\(244\) −13.3419 11.0897i −0.854127 0.709944i
\(245\) −11.8055 + 26.5276i −0.754228 + 1.69479i
\(246\) −6.12738 1.68391i −0.390668 0.107362i
\(247\) 2.26974 + 1.15649i 0.144420 + 0.0735858i
\(248\) −14.9680 15.5539i −0.950471 0.987673i
\(249\) −4.40793 −0.279341
\(250\) 12.3462 9.87782i 0.780842 0.624728i
\(251\) −16.9046 16.9046i −1.06701 1.06701i −0.997587 0.0694248i \(-0.977884\pi\)
−0.0694248 0.997587i \(-0.522116\pi\)
\(252\) 13.3560 + 21.1542i 0.841350 + 1.33259i
\(253\) 5.94937 1.93307i 0.374034 0.121531i
\(254\) 11.8815 6.75882i 0.745512 0.424086i
\(255\) 2.74690 1.05497i 0.172018 0.0660645i
\(256\) −15.4597 4.12286i −0.966231 0.257679i
\(257\) −16.6808 + 16.6808i −1.04052 + 1.04052i −0.0413768 + 0.999144i \(0.513174\pi\)
−0.999144 + 0.0413768i \(0.986826\pi\)
\(258\) −1.23311 1.54284i −0.0767700 0.0960531i
\(259\) −32.4549 5.14035i −2.01665 0.319406i
\(260\) 11.6258 + 8.67304i 0.721003 + 0.537879i
\(261\) −0.295906 + 0.0468669i −0.0183161 + 0.00290099i
\(262\) −3.70208 + 4.05905i −0.228715 + 0.250769i
\(263\) 14.3566 + 2.27386i 0.885263 + 0.140212i 0.582478 0.812847i \(-0.302083\pi\)
0.302786 + 0.953059i \(0.402083\pi\)
\(264\) 2.45803 + 0.0471813i 0.151281 + 0.00290381i
\(265\) −0.433252 + 4.12878i −0.0266145 + 0.253629i
\(266\) 4.96042 0.228153i 0.304143 0.0139890i
\(267\) 0.307006 0.944867i 0.0187885 0.0578249i
\(268\) −10.7629 + 4.62787i −0.657449 + 0.282692i
\(269\) −5.23994 10.2840i −0.319485 0.627024i 0.674286 0.738470i \(-0.264452\pi\)
−0.993770 + 0.111447i \(0.964452\pi\)
\(270\) −5.22465 + 6.37034i −0.317962 + 0.387687i
\(271\) 2.47953 0.805647i 0.150621 0.0489396i −0.232736 0.972540i \(-0.574768\pi\)
0.383357 + 0.923600i \(0.374768\pi\)
\(272\) −11.0400 + 3.91681i −0.669400 + 0.237491i
\(273\) −1.01919 6.43493i −0.0616844 0.389460i
\(274\) 4.77090 + 23.1733i 0.288221 + 1.39995i
\(275\) 6.08420 7.51852i 0.366891 0.453384i
\(276\) −1.07614 + 2.69967i −0.0647758 + 0.162501i
\(277\) 10.0293 13.8042i 0.602604 0.829413i −0.393340 0.919393i \(-0.628680\pi\)
0.995944 + 0.0899800i \(0.0286803\pi\)
\(278\) 2.89850 + 5.09535i 0.173840 + 0.305599i
\(279\) 20.3095 6.59896i 1.21590 0.395070i
\(280\) 28.0577 + 3.48981i 1.67677 + 0.208556i
\(281\) 20.4197 + 6.63475i 1.21814 + 0.395796i 0.846403 0.532544i \(-0.178764\pi\)
0.371733 + 0.928340i \(0.378764\pi\)
\(282\) −0.816011 3.96355i −0.0485928 0.236026i
\(283\) 20.9612 + 6.81070i 1.24601 + 0.404854i 0.856490 0.516163i \(-0.172640\pi\)
0.389522 + 0.921017i \(0.372640\pi\)
\(284\) −21.4758 12.7682i −1.27436 0.757654i
\(285\) 0.282938 + 0.736709i 0.0167598 + 0.0436389i
\(286\) 8.08217 + 3.66055i 0.477909 + 0.216453i
\(287\) −44.1535 6.99322i −2.60630 0.412797i
\(288\) 10.3494 11.9761i 0.609846 0.705698i
\(289\) 4.95123 6.81478i 0.291249 0.400869i
\(290\) −0.171118 + 0.292166i −0.0100484 + 0.0171566i
\(291\) −0.147198 + 0.929372i −0.00862890 + 0.0544807i
\(292\) 21.2968 25.6220i 1.24630 1.49941i
\(293\) −1.73598 −0.101417 −0.0507085 0.998713i \(-0.516148\pi\)
−0.0507085 + 0.998713i \(0.516148\pi\)
\(294\) −5.15187 6.44591i −0.300463 0.375933i
\(295\) 16.5377 25.4751i 0.962859 1.48322i
\(296\) 2.85757 + 20.5925i 0.166093 + 1.19691i
\(297\) −2.28799 + 4.49043i −0.132762 + 0.260561i
\(298\) 2.53347 5.59369i 0.146760 0.324033i
\(299\) −7.41646 + 7.41646i −0.428905 + 0.428905i
\(300\) 0.879406 + 4.40656i 0.0507726 + 0.254413i
\(301\) −9.82490 9.82490i −0.566298 0.566298i
\(302\) −0.899529 2.38892i −0.0517621 0.137467i
\(303\) 1.85358 + 0.944448i 0.106486 + 0.0542571i
\(304\) −1.05047 2.96089i −0.0602488 0.169819i
\(305\) 5.01711 18.7367i 0.287279 1.07286i
\(306\) 1.28504 11.5171i 0.0734611 0.658390i
\(307\) 32.5579i 1.85818i −0.369854 0.929090i \(-0.620592\pi\)
0.369854 0.929090i \(-0.379408\pi\)
\(308\) 17.2222 1.58762i 0.981327 0.0904633i
\(309\) 6.60228 + 1.04570i 0.375590 + 0.0594877i
\(310\) 8.78910 22.4768i 0.499187 1.27660i
\(311\) −9.69157 7.04134i −0.549559 0.399278i 0.278064 0.960563i \(-0.410307\pi\)
−0.827623 + 0.561285i \(0.810307\pi\)
\(312\) −3.70802 + 1.80054i −0.209925 + 0.101936i
\(313\) 0.122431 0.772998i 0.00692020 0.0436924i −0.983987 0.178242i \(-0.942959\pi\)
0.990907 + 0.134550i \(0.0429589\pi\)
\(314\) 6.17024 + 16.3866i 0.348207 + 0.924749i
\(315\) −15.2299 + 23.4607i −0.858110 + 1.32186i
\(316\) −21.1120 12.5519i −1.18764 0.706100i
\(317\) −1.51306 + 4.65673i −0.0849820 + 0.261548i −0.984514 0.175308i \(-0.943908\pi\)
0.899532 + 0.436856i \(0.143908\pi\)
\(318\) −0.985335 0.648884i −0.0552548 0.0363876i
\(319\) −0.0640025 + 0.196979i −0.00358345 + 0.0110287i
\(320\) −3.04797 17.6270i −0.170387 0.985377i
\(321\) 0.204000 + 0.627847i 0.0113862 + 0.0350430i
\(322\) −5.41786 + 19.7144i −0.301926 + 1.09864i
\(323\) −1.86088 1.35201i −0.103542 0.0752279i
\(324\) 5.70683 + 13.2722i 0.317046 + 0.737345i
\(325\) −3.36630 + 15.8633i −0.186728 + 0.879939i
\(326\) −4.43135 2.91823i −0.245430 0.161626i
\(327\) 7.45671 1.18103i 0.412357 0.0653110i
\(328\) 3.88760 + 28.0152i 0.214657 + 1.54688i
\(329\) −8.79712 27.0747i −0.485001 1.49268i
\(330\) 1.10232 + 2.51795i 0.0606806 + 0.138608i
\(331\) 27.1671 13.8423i 1.49324 0.760843i 0.498856 0.866685i \(-0.333754\pi\)
0.994383 + 0.105842i \(0.0337537\pi\)
\(332\) 7.74994 + 18.0238i 0.425333 + 0.989185i
\(333\) −19.5602 6.35549i −1.07189 0.348279i
\(334\) 0.869872 0.953750i 0.0475973 0.0521869i
\(335\) −9.73558 8.76300i −0.531912 0.478774i
\(336\) −4.54726 + 6.62468i −0.248074 + 0.361406i
\(337\) −1.67680 + 10.5869i −0.0913409 + 0.576704i 0.898989 + 0.437971i \(0.144303\pi\)
−0.990330 + 0.138732i \(0.955697\pi\)
\(338\) 3.50486 0.161205i 0.190639 0.00876841i
\(339\) 0.0643078 + 0.406023i 0.00349272 + 0.0220522i
\(340\) −9.14325 9.37712i −0.495862 0.508546i
\(341\) 2.30944 14.5812i 0.125063 0.789617i
\(342\) 3.08885 + 0.344644i 0.167026 + 0.0186362i
\(343\) −18.9201 18.9201i −1.02159 1.02159i
\(344\) −4.14057 + 7.75471i −0.223244 + 0.418106i
\(345\) −3.24481 + 0.170598i −0.174695 + 0.00918471i
\(346\) −28.2049 7.75122i −1.51631 0.416708i
\(347\) −2.64216 8.13172i −0.141838 0.436534i 0.854753 0.519036i \(-0.173709\pi\)
−0.996591 + 0.0825021i \(0.973709\pi\)
\(348\) −0.0513705 0.0813641i −0.00275375 0.00436157i
\(349\) −3.81488 + 3.81488i −0.204206 + 0.204206i −0.801799 0.597593i \(-0.796124\pi\)
0.597593 + 0.801799i \(0.296124\pi\)
\(350\) 9.58594 + 30.1226i 0.512390 + 1.61012i
\(351\) 8.44994i 0.451025i
\(352\) −4.12873 10.1337i −0.220062 0.540128i
\(353\) −4.47238 + 8.77755i −0.238041 + 0.467182i −0.978862 0.204520i \(-0.934437\pi\)
0.740821 + 0.671702i \(0.234437\pi\)
\(354\) 4.26785 + 7.50258i 0.226834 + 0.398757i
\(355\) 2.91522 27.7813i 0.154724 1.47448i
\(356\) −4.40328 + 0.405915i −0.233373 + 0.0215134i
\(357\) 5.88287i 0.311355i
\(358\) −4.52099 0.504438i −0.238942 0.0266604i
\(359\) 5.45279 + 7.50512i 0.287787 + 0.396105i 0.928294 0.371847i \(-0.121276\pi\)
−0.640506 + 0.767953i \(0.721276\pi\)
\(360\) 17.0034 + 4.90459i 0.896160 + 0.258495i
\(361\) −10.8053 + 14.8722i −0.568701 + 0.782750i
\(362\) −10.4446 + 11.4517i −0.548956 + 0.601889i
\(363\) −1.91702 2.63855i −0.100617 0.138488i
\(364\) −24.5202 + 15.4812i −1.28521 + 0.811435i
\(365\) 35.9822 + 9.63493i 1.88339 + 0.504315i
\(366\) 4.07282 + 3.71463i 0.212889 + 0.194167i
\(367\) −22.4879 + 11.4582i −1.17386 + 0.598111i −0.928504 0.371322i \(-0.878905\pi\)
−0.245355 + 0.969433i \(0.578905\pi\)
\(368\) 12.9309 0.346242i 0.674068 0.0180491i
\(369\) −26.6108 8.64637i −1.38530 0.450112i
\(370\) −19.5723 + 12.5377i −1.01752 + 0.651806i
\(371\) −7.39520 3.76804i −0.383940 0.195627i
\(372\) 4.52378 + 5.15531i 0.234547 + 0.267290i
\(373\) −8.21921 5.97161i −0.425575 0.309198i 0.354302 0.935131i \(-0.384718\pi\)
−0.779877 + 0.625933i \(0.784718\pi\)
\(374\) −6.69091 4.40624i −0.345979 0.227841i
\(375\) −4.06288 + 2.95498i −0.209806 + 0.152594i
\(376\) −14.7720 + 10.3053i −0.761810 + 0.531453i
\(377\) −0.0543243 0.342990i −0.00279784 0.0176649i
\(378\) −8.14436 14.3172i −0.418901 0.736397i
\(379\) −8.39416 4.27704i −0.431179 0.219697i 0.224911 0.974379i \(-0.427791\pi\)
−0.656090 + 0.754683i \(0.727791\pi\)
\(380\) 2.51491 2.45219i 0.129012 0.125794i
\(381\) −3.86986 + 1.97179i −0.198259 + 0.101018i
\(382\) −14.7574 + 22.4093i −0.755057 + 1.14656i
\(383\) −13.5156 26.5259i −0.690616 1.35541i −0.923762 0.382968i \(-0.874902\pi\)
0.233146 0.972442i \(-0.425098\pi\)
\(384\) 4.84671 + 1.53429i 0.247333 + 0.0782962i
\(385\) 9.67114 + 16.7444i 0.492887 + 0.853375i
\(386\) 9.73353 21.4908i 0.495424 1.09385i
\(387\) −5.11173 7.03570i −0.259844 0.357645i
\(388\) 4.05895 1.03212i 0.206062 0.0523978i
\(389\) 5.54840 + 35.0312i 0.281315 + 1.77615i 0.572918 + 0.819613i \(0.305811\pi\)
−0.291603 + 0.956539i \(0.594189\pi\)
\(390\) −3.56342 2.92254i −0.180441 0.147989i
\(391\) 7.66187 5.56668i 0.387478 0.281519i
\(392\) −17.2991 + 32.3988i −0.873735 + 1.63639i
\(393\) 1.23430 1.23430i 0.0622620 0.0622620i
\(394\) 2.45104 + 3.06669i 0.123482 + 0.154498i
\(395\) 2.86584 27.3107i 0.144196 1.37415i
\(396\) 10.8022 + 0.704811i 0.542829 + 0.0354181i
\(397\) −4.70586 14.4831i −0.236180 0.726888i −0.996963 0.0778809i \(-0.975185\pi\)
0.760782 0.649007i \(-0.224815\pi\)
\(398\) −1.15832 + 0.436157i −0.0580615 + 0.0218626i
\(399\) −1.57777 −0.0789871
\(400\) 16.4720 11.3434i 0.823602 0.567169i
\(401\) 31.6458 1.58032 0.790158 0.612903i \(-0.209998\pi\)
0.790158 + 0.612903i \(0.209998\pi\)
\(402\) 3.48370 1.31176i 0.173751 0.0654246i
\(403\) 7.64897 + 23.5411i 0.381022 + 1.17267i
\(404\) 0.602866 9.23972i 0.0299937 0.459693i
\(405\) −10.8060 + 12.0054i −0.536957 + 0.596552i
\(406\) −0.422631 0.528787i −0.0209748 0.0262432i
\(407\) −10.0538 + 10.0538i −0.498350 + 0.498350i
\(408\) 3.56128 1.08202i 0.176310 0.0535681i
\(409\) −9.17708 + 6.66754i −0.453777 + 0.329688i −0.791085 0.611706i \(-0.790484\pi\)
0.337308 + 0.941394i \(0.390484\pi\)
\(410\) −26.6273 + 17.0570i −1.31503 + 0.842388i
\(411\) −1.17598 7.42485i −0.0580069 0.366241i
\(412\) −7.33219 28.8349i −0.361231 1.42059i
\(413\) 35.6916 + 49.1253i 1.75627 + 2.41730i
\(414\) −5.27959 + 11.6569i −0.259478 + 0.572904i
\(415\) −14.6747 + 16.3034i −0.720354 + 0.800304i
\(416\) 13.8817 + 11.9962i 0.680606 + 0.588162i
\(417\) −0.845597 1.65958i −0.0414090 0.0812698i
\(418\) 1.18174 1.79448i 0.0578007 0.0877708i
\(419\) −24.8800 + 12.6770i −1.21547 + 0.619312i −0.939729 0.341920i \(-0.888923\pi\)
−0.275739 + 0.961232i \(0.588923\pi\)
\(420\) −8.85454 1.51727i −0.432057 0.0740353i
\(421\) −12.3957 6.31591i −0.604128 0.307818i 0.125042 0.992151i \(-0.460093\pi\)
−0.729170 + 0.684333i \(0.760093\pi\)
\(422\) 13.9997 + 24.6105i 0.681496 + 1.19802i
\(423\) −2.78739 17.5989i −0.135527 0.855686i
\(424\) −0.920855 + 5.16984i −0.0447207 + 0.251069i
\(425\) 5.24293 13.6720i 0.254319 0.663189i
\(426\) 6.63003 + 4.36614i 0.321226 + 0.211540i
\(427\) 31.3730 + 22.7938i 1.51825 + 1.10307i
\(428\) 2.20857 1.93801i 0.106755 0.0936774i
\(429\) −2.51184 1.27985i −0.121273 0.0617915i
\(430\) −9.81165 0.575521i −0.473160 0.0277541i
\(431\) 1.25312 + 0.407163i 0.0603606 + 0.0196123i 0.339042 0.940771i \(-0.389897\pi\)
−0.278681 + 0.960384i \(0.589897\pi\)
\(432\) −7.16914 + 7.56363i −0.344925 + 0.363905i
\(433\) −4.80416 + 2.44784i −0.230873 + 0.117636i −0.565601 0.824679i \(-0.691356\pi\)
0.334728 + 0.942315i \(0.391356\pi\)
\(434\) 35.6498 + 32.5146i 1.71125 + 1.56075i
\(435\) 0.0585780 0.0902353i 0.00280860 0.00432645i
\(436\) −17.9394 28.4136i −0.859141 1.36077i
\(437\) 1.49296 + 2.05489i 0.0714181 + 0.0982986i
\(438\) −7.13364 + 7.82150i −0.340859 + 0.373726i
\(439\) −8.36317 + 11.5109i −0.399152 + 0.549386i −0.960531 0.278173i \(-0.910271\pi\)
0.561379 + 0.827559i \(0.310271\pi\)
\(440\) 8.35768 8.93433i 0.398437 0.425927i
\(441\) −21.3566 29.3948i −1.01698 1.39975i
\(442\) 13.3497 + 1.48952i 0.634980 + 0.0708491i
\(443\) 3.84386i 0.182627i 0.995822 + 0.0913136i \(0.0291066\pi\)
−0.995822 + 0.0913136i \(0.970893\pi\)
\(444\) −0.606368 6.57776i −0.0287770 0.312167i
\(445\) −2.47266 4.28112i −0.117216 0.202945i
\(446\) 6.68303 + 11.7483i 0.316451 + 0.556297i
\(447\) −0.885783 + 1.73845i −0.0418961 + 0.0822258i
\(448\) 35.0829 + 6.94614i 1.65751 + 0.328174i
\(449\) 6.21818i 0.293454i 0.989177 + 0.146727i \(0.0468739\pi\)
−0.989177 + 0.146727i \(0.953126\pi\)
\(450\) 2.97661 + 19.5603i 0.140319 + 0.922081i
\(451\) −13.6778 + 13.6778i −0.644063 + 0.644063i
\(452\) 1.54714 0.976813i 0.0727715 0.0459454i
\(453\) 0.250635 + 0.771375i 0.0117759 + 0.0362423i
\(454\) −19.4631 5.34880i −0.913447 0.251032i
\(455\) −27.1936 17.6533i −1.27486 0.827599i
\(456\) 0.290195 + 0.955122i 0.0135896 + 0.0447277i
\(457\) −8.35212 8.35212i −0.390696 0.390696i 0.484240 0.874935i \(-0.339096\pi\)
−0.874935 + 0.484240i \(0.839096\pi\)
\(458\) 28.1671 + 3.14280i 1.31616 + 0.146853i
\(459\) −1.19358 + 7.53597i −0.0557116 + 0.351749i
\(460\) 6.40252 + 12.9679i 0.298519 + 0.604632i
\(461\) −3.20990 20.2665i −0.149500 0.943907i −0.942384 0.334534i \(-0.891421\pi\)
0.792884 0.609373i \(-0.208579\pi\)
\(462\) −5.48950 + 0.252489i −0.255395 + 0.0117468i
\(463\) 5.48991 34.6619i 0.255138 1.61088i −0.444094 0.895980i \(-0.646474\pi\)
0.699232 0.714895i \(-0.253526\pi\)
\(464\) −0.242375 + 0.353104i −0.0112520 + 0.0163924i
\(465\) −3.11779 + 7.00583i −0.144584 + 0.324888i
\(466\) −5.24900 + 5.75514i −0.243155 + 0.266602i
\(467\) 20.8553 + 6.77630i 0.965068 + 0.313570i 0.748823 0.662770i \(-0.230619\pi\)
0.216245 + 0.976339i \(0.430619\pi\)
\(468\) −16.6741 + 7.16958i −0.770760 + 0.331414i
\(469\) 23.3332 11.8888i 1.07743 0.548976i
\(470\) −17.3764 10.1771i −0.801515 0.469437i
\(471\) −1.71921 5.29118i −0.0792169 0.243805i
\(472\) 23.1740 30.6419i 1.06667 1.41041i
\(473\) −5.93813 + 0.940507i −0.273035 + 0.0432446i
\(474\) 6.51771 + 4.29218i 0.299368 + 0.197146i
\(475\) 3.66678 + 1.40613i 0.168243 + 0.0645179i
\(476\) 24.0548 10.3431i 1.10255 0.474077i
\(477\) −4.20275 3.05348i −0.192431 0.139809i
\(478\) −3.40846 + 12.4026i −0.155899 + 0.567283i
\(479\) 0.271779 + 0.836449i 0.0124179 + 0.0382183i 0.957073 0.289845i \(-0.0936039\pi\)
−0.944656 + 0.328064i \(0.893604\pi\)
\(480\) 0.710094 + 5.63929i 0.0324112 + 0.257397i
\(481\) 7.36676 22.6725i 0.335895 1.03378i
\(482\) −33.8031 22.2608i −1.53969 1.01395i
\(483\) 2.00743 6.17824i 0.0913413 0.281120i
\(484\) −7.41843 + 12.4776i −0.337201 + 0.567165i
\(485\) 2.94738 + 3.63846i 0.133834 + 0.165214i
\(486\) −5.51272 14.6404i −0.250062 0.664102i
\(487\) −6.02803 + 38.0595i −0.273156 + 1.72464i 0.345016 + 0.938597i \(0.387873\pi\)
−0.618172 + 0.786043i \(0.712127\pi\)
\(488\) 8.02820 23.1845i 0.363420 1.04951i
\(489\) 1.36391 + 0.990936i 0.0616780 + 0.0448117i
\(490\) −40.9926 2.40450i −1.85186 0.108624i
\(491\) −9.21566 1.45962i −0.415897 0.0658716i −0.0550205 0.998485i \(-0.517522\pi\)
−0.360877 + 0.932614i \(0.617522\pi\)
\(492\) −0.824938 8.94876i −0.0371911 0.403441i
\(493\) 0.313565i 0.0141222i
\(494\) −0.399483 + 3.58034i −0.0179736 + 0.161087i
\(495\) 4.33917 + 11.2983i 0.195031 + 0.507820i
\(496\) 13.1262 27.5615i 0.589383 1.23755i
\(497\) 49.7601 + 25.3541i 2.23205 + 1.13728i
\(498\) −2.19670 5.83389i −0.0984366 0.261423i
\(499\) −12.4385 12.4385i −0.556824 0.556824i 0.371578 0.928402i \(-0.378817\pi\)
−0.928402 + 0.371578i \(0.878817\pi\)
\(500\) 19.2260 + 11.4175i 0.859814 + 0.510607i
\(501\) −0.290021 + 0.290021i −0.0129572 + 0.0129572i
\(502\) 13.9488 30.7977i 0.622565 1.37457i
\(503\) 5.38174 10.5623i 0.239960 0.470948i −0.739348 0.673323i \(-0.764866\pi\)
0.979308 + 0.202376i \(0.0648662\pi\)
\(504\) −21.3415 + 28.2189i −0.950626 + 1.25697i
\(505\) 9.66407 3.71155i 0.430045 0.165162i
\(506\) 5.52329 + 6.91063i 0.245540 + 0.307215i
\(507\) −1.11479 −0.0495097
\(508\) 14.8665 + 12.3569i 0.659592 + 0.548248i
\(509\) 5.18420 32.7317i 0.229786 1.45081i −0.555418 0.831571i \(-0.687442\pi\)
0.785204 0.619238i \(-0.212558\pi\)
\(510\) 2.76517 + 3.10977i 0.122444 + 0.137703i
\(511\) −43.7737 + 60.2493i −1.93643 + 2.66527i
\(512\) −2.24777 22.5155i −0.0993383 0.995054i
\(513\) −2.02112 0.320114i −0.0892346 0.0141334i
\(514\) −30.3899 13.7641i −1.34044 0.607108i
\(515\) 25.8477 20.9382i 1.13899 0.922649i
\(516\) 1.42742 2.40089i 0.0628388 0.105693i
\(517\) −11.7152 3.80651i −0.515236 0.167410i
\(518\) −9.37072 45.5157i −0.411726 1.99984i
\(519\) 8.83908 + 2.87199i 0.387992 + 0.126066i
\(520\) −5.68499 + 19.7090i −0.249303 + 0.864296i
\(521\) −28.5847 + 9.28773i −1.25232 + 0.406903i −0.858751 0.512393i \(-0.828759\pi\)
−0.393567 + 0.919296i \(0.628759\pi\)
\(522\) −0.209494 0.368275i −0.00916929 0.0161190i
\(523\) 12.3945 17.0596i 0.541976 0.745965i −0.446921 0.894574i \(-0.647479\pi\)
0.988896 + 0.148608i \(0.0474794\pi\)
\(524\) −7.21708 2.87686i −0.315280 0.125676i
\(525\) −2.60282 9.70085i −0.113596 0.423380i
\(526\) 4.14518 + 20.1340i 0.180738 + 0.877886i
\(527\) −3.49638 22.0753i −0.152305 0.961614i
\(528\) 1.16252 + 3.27671i 0.0505922 + 0.142600i
\(529\) 11.9282 3.87571i 0.518618 0.168509i
\(530\) −5.68033 + 1.48418i −0.246738 + 0.0644685i
\(531\) 17.2544 + 33.8637i 0.748778 + 1.46956i
\(532\) 2.77400 + 6.45140i 0.120268 + 0.279704i
\(533\) 10.0222 30.8450i 0.434108 1.33605i
\(534\) 1.40353 0.0645549i 0.0607365 0.00279356i
\(535\) 3.00134 + 1.33568i 0.129759 + 0.0577465i
\(536\) −11.4887 11.9384i −0.496236 0.515659i
\(537\) 1.42760 + 0.226109i 0.0616054 + 0.00975733i
\(538\) 10.9995 12.0601i 0.474220 0.519947i
\(539\) −24.8092 + 3.92939i −1.06861 + 0.169251i
\(540\) −11.0348 3.74013i −0.474864 0.160950i
\(541\) −33.8241 5.35721i −1.45421 0.230324i −0.621231 0.783627i \(-0.713367\pi\)
−0.832980 + 0.553303i \(0.813367\pi\)
\(542\) 2.30195 + 2.88015i 0.0988772 + 0.123713i
\(543\) 3.48229 3.48229i 0.149439 0.149439i
\(544\) −10.6857 12.6595i −0.458146 0.542771i
\(545\) 20.4564 31.5116i 0.876255 1.34981i
\(546\) 8.00870 4.55576i 0.342741 0.194969i
\(547\) −8.30122 + 2.69723i −0.354935 + 0.115325i −0.481057 0.876689i \(-0.659747\pi\)
0.126122 + 0.992015i \(0.459747\pi\)
\(548\) −28.2922 + 17.8628i −1.20858 + 0.763059i
\(549\) 17.1629 + 17.1629i 0.732494 + 0.732494i
\(550\) 12.9828 + 4.30556i 0.553589 + 0.183590i
\(551\) −0.0840969 −0.00358265
\(552\) −4.10931 0.0788772i −0.174904 0.00335723i
\(553\) 48.9171 + 24.9245i 2.08017 + 1.05990i
\(554\) 23.2679 + 6.39445i 0.988560 + 0.271674i
\(555\) 6.39527 3.69374i 0.271464 0.156791i
\(556\) −5.29921 + 6.37543i −0.224737 + 0.270379i
\(557\) 42.1778 1.78713 0.893565 0.448935i \(-0.148196\pi\)
0.893565 + 0.448935i \(0.148196\pi\)
\(558\) 18.8550 + 23.5910i 0.798196 + 0.998686i
\(559\) 8.15520 5.92510i 0.344928 0.250605i
\(560\) 9.36383 + 38.8734i 0.395694 + 1.64270i
\(561\) 2.05937 + 1.49622i 0.0869466 + 0.0631704i
\(562\) 1.39511 + 30.3318i 0.0588490 + 1.27947i
\(563\) 0.394816 0.286850i 0.0166395 0.0120893i −0.579434 0.815019i \(-0.696727\pi\)
0.596074 + 0.802930i \(0.296727\pi\)
\(564\) 4.83908 3.05523i 0.203762 0.128648i
\(565\) 1.71583 + 1.11386i 0.0721855 + 0.0468606i
\(566\) 1.43210 + 31.1362i 0.0601957 + 1.30875i
\(567\) −14.6607 28.7732i −0.615690 1.20836i
\(568\) 6.19616 34.7863i 0.259985 1.45960i
\(569\) −7.38580 + 22.7311i −0.309629 + 0.952939i 0.668281 + 0.743909i \(0.267031\pi\)
−0.977909 + 0.209030i \(0.932969\pi\)
\(570\) −0.834030 + 0.741608i −0.0349337 + 0.0310625i
\(571\) 5.56330 10.9186i 0.232817 0.456929i −0.744810 0.667277i \(-0.767460\pi\)
0.977627 + 0.210348i \(0.0674597\pi\)
\(572\) −0.816958 + 12.5210i −0.0341587 + 0.523528i
\(573\) 5.01116 6.89726i 0.209344 0.288137i
\(574\) −12.7485 61.9221i −0.532111 2.58458i
\(575\) −10.1715 + 12.5694i −0.424181 + 0.524179i
\(576\) 21.0080 + 7.72914i 0.875333 + 0.322047i
\(577\) −35.6109 + 5.64021i −1.48250 + 0.234805i −0.844635 0.535342i \(-0.820183\pi\)
−0.637866 + 0.770147i \(0.720183\pi\)
\(578\) 11.4868 + 3.15678i 0.477788 + 0.131305i
\(579\) −3.40316 + 6.67907i −0.141430 + 0.277573i
\(580\) −0.471958 0.0808725i −0.0195970 0.00335805i
\(581\) −19.9093 39.0743i −0.825978 1.62107i
\(582\) −1.30338 + 0.268338i −0.0540267 + 0.0111230i
\(583\) −3.19990 + 1.63043i −0.132526 + 0.0675256i
\(584\) 44.5239 + 15.4175i 1.84241 + 0.637980i
\(585\) −15.0825 13.5758i −0.623586 0.561290i
\(586\) −0.865129 2.29756i −0.0357381 0.0949115i
\(587\) 14.6971 10.6781i 0.606614 0.440731i −0.241607 0.970374i \(-0.577674\pi\)
0.848220 + 0.529644i \(0.177674\pi\)
\(588\) 5.96370 10.0308i 0.245939 0.413664i
\(589\) 5.92051 0.937716i 0.243950 0.0386379i
\(590\) 41.9578 + 9.19197i 1.72738 + 0.378428i
\(591\) −0.733189 1.00915i −0.0301594 0.0415108i
\(592\) −25.8300 + 14.0443i −1.06161 + 0.577217i
\(593\) −11.0868 11.0868i −0.455280 0.455280i 0.441823 0.897102i \(-0.354332\pi\)
−0.897102 + 0.441823i \(0.854332\pi\)
\(594\) −7.08329 0.790331i −0.290631 0.0324277i
\(595\) 21.7587 + 19.5850i 0.892020 + 0.802908i
\(596\) 8.66579 + 0.565418i 0.354965 + 0.0231604i
\(597\) 0.374019 0.121526i 0.0153076 0.00497373i
\(598\) −13.5117 6.11966i −0.552534 0.250252i
\(599\) 13.3284i 0.544583i −0.962215 0.272292i \(-0.912218\pi\)
0.962215 0.272292i \(-0.0877816\pi\)
\(600\) −5.39382 + 3.35991i −0.220202 + 0.137168i
\(601\) 14.2316i 0.580517i 0.956948 + 0.290259i \(0.0937413\pi\)
−0.956948 + 0.290259i \(0.906259\pi\)
\(602\) 8.10697 17.8995i 0.330415 0.729529i
\(603\) 15.5886 5.06503i 0.634815 0.206264i
\(604\) 2.71345 2.38105i 0.110409 0.0968835i
\(605\) −16.1411 1.69377i −0.656231 0.0688615i
\(606\) −0.326237 + 2.92388i −0.0132525 + 0.118775i
\(607\) 3.91900 + 3.91900i 0.159067 + 0.159067i 0.782153 0.623086i \(-0.214121\pi\)
−0.623086 + 0.782153i \(0.714121\pi\)
\(608\) 3.39523 2.86587i 0.137695 0.116226i
\(609\) 0.126423 + 0.174007i 0.00512292 + 0.00705110i
\(610\) 27.2982 2.69732i 1.10527 0.109211i
\(611\) 20.3991 3.23091i 0.825261 0.130708i
\(612\) 15.8833 4.03883i 0.642044 0.163260i
\(613\) −0.0658664 + 0.0478547i −0.00266032 + 0.00193283i −0.589115 0.808049i \(-0.700523\pi\)
0.586454 + 0.809982i \(0.300523\pi\)
\(614\) 43.0904 16.2253i 1.73899 0.654801i
\(615\) 8.70049 5.02518i 0.350838 0.202635i
\(616\) 10.6839 + 22.0024i 0.430469 + 0.886501i
\(617\) −22.5169 + 11.4729i −0.906495 + 0.461882i −0.844110 0.536170i \(-0.819871\pi\)
−0.0623852 + 0.998052i \(0.519871\pi\)
\(618\) 1.90628 + 9.25922i 0.0766818 + 0.372461i
\(619\) 11.7162 + 22.9943i 0.470912 + 0.924217i 0.997262 + 0.0739491i \(0.0235602\pi\)
−0.526350 + 0.850268i \(0.676440\pi\)
\(620\) 34.1281 + 0.430970i 1.37062 + 0.0173082i
\(621\) 3.82503 7.50705i 0.153493 0.301247i
\(622\) 4.48938 16.3358i 0.180008 0.655007i
\(623\) 9.76245 1.54622i 0.391124 0.0619480i
\(624\) −4.23091 4.01025i −0.169372 0.160538i
\(625\) −2.59654 + 24.8648i −0.103862 + 0.994592i
\(626\) 1.08407 0.223188i 0.0433283 0.00892039i
\(627\) −0.401280 + 0.552315i −0.0160256 + 0.0220573i
\(628\) −18.6127 + 16.3326i −0.742726 + 0.651741i
\(629\) −9.77251 + 19.1796i −0.389656 + 0.764742i
\(630\) −38.6400 8.46512i −1.53945 0.337258i
\(631\) 9.78969 30.1296i 0.389721 1.19944i −0.543275 0.839555i \(-0.682816\pi\)
0.932997 0.359885i \(-0.117184\pi\)
\(632\) 6.09119 34.1970i 0.242295 1.36028i
\(633\) −4.08423 8.01575i −0.162333 0.318597i
\(634\) −6.91720 + 0.318155i −0.274717 + 0.0126356i
\(635\) −5.59041 + 20.8777i −0.221849 + 0.828505i
\(636\) 0.367752 1.62746i 0.0145823 0.0645330i
\(637\) 34.0720 24.7547i 1.34998 0.980819i
\(638\) −0.292597 + 0.0134580i −0.0115840 + 0.000532806i
\(639\) 28.2790 + 20.5459i 1.11870 + 0.812784i
\(640\) 21.8103 12.8184i 0.862127 0.506692i
\(641\) −5.10414 + 3.70837i −0.201601 + 0.146472i −0.684006 0.729477i \(-0.739764\pi\)
0.482404 + 0.875949i \(0.339764\pi\)
\(642\) −0.729290 + 0.582882i −0.0287828 + 0.0230045i
\(643\) 26.1576 1.03156 0.515778 0.856722i \(-0.327503\pi\)
0.515778 + 0.856722i \(0.327503\pi\)
\(644\) −28.7919 + 2.65417i −1.13456 + 0.104589i
\(645\) 3.10581 + 0.325908i 0.122291 + 0.0128326i
\(646\) 0.862008 3.13665i 0.0339152 0.123410i
\(647\) 5.11872 + 2.60812i 0.201238 + 0.102536i 0.551705 0.834039i \(-0.313977\pi\)
−0.350468 + 0.936575i \(0.613977\pi\)
\(648\) −14.7217 + 14.1672i −0.578324 + 0.556541i
\(649\) 26.2745 1.03136
\(650\) −22.6727 + 3.45023i −0.889295 + 0.135329i
\(651\) −10.8406 10.8406i −0.424875 0.424875i
\(652\) 1.65389 7.31918i 0.0647714 0.286641i
\(653\) 11.6600 3.78857i 0.456292 0.148258i −0.0718482 0.997416i \(-0.522890\pi\)
0.528140 + 0.849157i \(0.322890\pi\)
\(654\) 5.27915 + 9.28037i 0.206431 + 0.362891i
\(655\) −0.456064 8.67440i −0.0178199 0.338937i
\(656\) −35.1406 + 19.1066i −1.37201 + 0.745989i
\(657\) −32.9599 + 32.9599i −1.28589 + 1.28589i
\(658\) 31.4493 25.1357i 1.22602 0.979892i
\(659\) 37.6460 + 5.96254i 1.46648 + 0.232268i 0.838048 0.545597i \(-0.183697\pi\)
0.628432 + 0.777865i \(0.283697\pi\)
\(660\) −2.78315 + 2.71374i −0.108334 + 0.105632i
\(661\) −32.6458 + 5.17059i −1.26978 + 0.201113i −0.754722 0.656045i \(-0.772228\pi\)
−0.515054 + 0.857158i \(0.672228\pi\)
\(662\) 31.8591 + 29.0572i 1.23824 + 1.12934i
\(663\) −4.21544 0.667660i −0.163714 0.0259298i
\(664\) −19.9923 + 19.2392i −0.775850 + 0.746627i
\(665\) −5.25264 + 5.83561i −0.203688 + 0.226295i
\(666\) −1.33639 29.0551i −0.0517839 1.12586i
\(667\) 0.106999 0.329308i 0.00414300 0.0127509i
\(668\) 1.69579 + 0.675971i 0.0656120 + 0.0261541i
\(669\) −1.94968 3.82646i −0.0753790 0.147940i
\(670\) 6.74606 17.2521i 0.260623 0.666506i
\(671\) 15.9585 5.18523i 0.616071 0.200174i
\(672\) −11.0339 2.71687i −0.425641 0.104805i
\(673\) 2.00374 + 12.6511i 0.0772386 + 0.487665i 0.995737 + 0.0922400i \(0.0294027\pi\)
−0.918498 + 0.395425i \(0.870597\pi\)
\(674\) −14.8473 + 3.05675i −0.571898 + 0.117742i
\(675\) −1.36601 12.9549i −0.0525776 0.498634i
\(676\) 1.96001 + 4.55833i 0.0753849 + 0.175320i
\(677\) −9.86033 + 13.5716i −0.378963 + 0.521598i −0.955310 0.295607i \(-0.904478\pi\)
0.576346 + 0.817206i \(0.304478\pi\)
\(678\) −0.505323 + 0.287454i −0.0194068 + 0.0110396i
\(679\) −8.90329 + 2.89286i −0.341677 + 0.111018i
\(680\) 7.85404 16.7742i 0.301189 0.643260i
\(681\) 6.09949 + 1.98184i 0.233733 + 0.0759444i
\(682\) 20.4491 4.21004i 0.783037 0.161211i
\(683\) −40.3421 13.1079i −1.54365 0.501561i −0.591268 0.806475i \(-0.701372\pi\)
−0.952380 + 0.304914i \(0.901372\pi\)
\(684\) 1.08320 + 4.25984i 0.0414172 + 0.162879i
\(685\) −31.3770 20.3690i −1.19885 0.778259i
\(686\) 15.6119 34.4696i 0.596063 1.31606i
\(687\) −8.89435 1.40873i −0.339341 0.0537463i
\(688\) −12.3268 1.61545i −0.469955 0.0615886i
\(689\) 3.53933 4.87148i 0.134838 0.185588i
\(690\) −1.84284 4.20948i −0.0701558 0.160252i
\(691\) −2.72162 + 17.1836i −0.103535 + 0.653697i 0.880272 + 0.474469i \(0.157360\pi\)
−0.983808 + 0.179228i \(0.942640\pi\)
\(692\) −3.79727 41.1920i −0.144350 1.56588i
\(693\) −24.1968 −0.919161
\(694\) 9.44559 7.54935i 0.358550 0.286569i
\(695\) −8.95333 2.39743i −0.339619 0.0909397i
\(696\) 0.0820845 0.108537i 0.00311141 0.00411407i
\(697\) −13.2951 + 26.0931i −0.503587 + 0.988345i
\(698\) −6.95015 3.14783i −0.263067 0.119147i
\(699\) 1.75005 1.75005i 0.0661929 0.0661929i
\(700\) −35.0901 + 27.6986i −1.32628 + 1.04691i
\(701\) −20.6474 20.6474i −0.779840 0.779840i 0.199964 0.979803i \(-0.435918\pi\)
−0.979803 + 0.199964i \(0.935918\pi\)
\(702\) 11.1835 4.21105i 0.422093 0.158936i
\(703\) −5.14391 2.62095i −0.194006 0.0988511i
\(704\) 11.3544 10.5145i 0.427934 0.396281i
\(705\) 5.36670 + 3.48389i 0.202121 + 0.131211i
\(706\) −13.8459 1.54488i −0.521097 0.0581423i
\(707\) 20.6969i 0.778389i
\(708\) −7.80275 + 9.38741i −0.293245 + 0.352801i
\(709\) 47.6444 + 7.54613i 1.78932 + 0.283401i 0.960939 0.276759i \(-0.0892604\pi\)
0.828384 + 0.560160i \(0.189260\pi\)
\(710\) 38.2213 9.98657i 1.43442 0.374789i
\(711\) 27.8000 + 20.1979i 1.04258 + 0.757479i
\(712\) −2.73161 5.62544i −0.102371 0.210822i
\(713\) −3.86089 + 24.3767i −0.144591 + 0.912915i
\(714\) −7.78597 + 2.93174i −0.291382 + 0.109718i
\(715\) −13.0960 + 5.02961i −0.489763 + 0.188097i
\(716\) −1.58542 6.23491i −0.0592501 0.233010i
\(717\) 1.26291 3.88683i 0.0471641 0.145156i
\(718\) −7.21560 + 10.9569i −0.269284 + 0.408910i
\(719\) 5.08175 15.6400i 0.189517 0.583274i −0.810480 0.585767i \(-0.800793\pi\)
0.999997 + 0.00249282i \(0.000793490\pi\)
\(720\) 1.98249 + 24.9482i 0.0738830 + 0.929765i
\(721\) 20.5509 + 63.2492i 0.765356 + 2.35552i
\(722\) −25.0682 6.88919i −0.932943 0.256389i
\(723\) 10.4041 + 7.55904i 0.386934 + 0.281124i
\(724\) −20.3614 8.11641i −0.756725 0.301644i
\(725\) −0.138734 0.517068i −0.00515244 0.0192034i
\(726\) 2.53676 3.85210i 0.0941481 0.142965i
\(727\) −10.8511 + 1.71865i −0.402446 + 0.0637412i −0.354377 0.935103i \(-0.615307\pi\)
−0.0480694 + 0.998844i \(0.515307\pi\)
\(728\) −32.7090 24.7373i −1.21228 0.916825i
\(729\) −5.16061 15.8827i −0.191134 0.588249i
\(730\) 5.17998 + 52.4239i 0.191720 + 1.94030i
\(731\) −8.11004 + 4.13227i −0.299961 + 0.152838i
\(732\) −2.88661 + 7.24156i −0.106692 + 0.267656i
\(733\) 0.176712 + 0.0574171i 0.00652699 + 0.00212075i 0.312279 0.949991i \(-0.398908\pi\)
−0.305752 + 0.952111i \(0.598908\pi\)
\(734\) −26.3717 24.0525i −0.973399 0.887794i
\(735\) 12.9759 + 1.36163i 0.478624 + 0.0502243i
\(736\) 6.90237 + 16.9414i 0.254425 + 0.624469i
\(737\) 1.77261 11.1918i 0.0652948 0.412255i
\(738\) −1.81809 39.5282i −0.0669250 1.45505i
\(739\) 1.69540 + 10.7043i 0.0623662 + 0.393764i 0.999050 + 0.0435872i \(0.0138786\pi\)
−0.936683 + 0.350177i \(0.886121\pi\)
\(740\) −26.3476 19.6557i −0.968556 0.722557i
\(741\) 0.179064 1.13057i 0.00657808 0.0415324i
\(742\) 1.30158 11.6653i 0.0477826 0.428248i
\(743\) 1.35150 + 1.35150i 0.0495816 + 0.0495816i 0.731463 0.681881i \(-0.238838\pi\)
−0.681881 + 0.731463i \(0.738838\pi\)
\(744\) −4.56861 + 8.55637i −0.167493 + 0.313692i
\(745\) 3.48100 + 9.06378i 0.127534 + 0.332071i
\(746\) 3.80735 13.8541i 0.139397 0.507233i
\(747\) −8.48201 26.1049i −0.310340 0.955130i
\(748\) 2.49722 11.0513i 0.0913074 0.404074i
\(749\) −4.64416 + 4.64416i −0.169694 + 0.169694i
\(750\) −5.93565 3.90459i −0.216739 0.142576i
\(751\) 16.9475i 0.618425i −0.950993 0.309212i \(-0.899935\pi\)
0.950993 0.309212i \(-0.100065\pi\)
\(752\) −21.0007 14.4151i −0.765815 0.525665i
\(753\) −4.87695 + 9.57155i −0.177726 + 0.348807i
\(754\) 0.426874 0.242828i 0.0155458 0.00884326i
\(755\) 3.68745 + 1.64102i 0.134200 + 0.0597228i
\(756\) 14.8900 17.9140i 0.541545 0.651528i
\(757\) 39.3395i 1.42982i −0.699218 0.714909i \(-0.746468\pi\)
0.699218 0.714909i \(-0.253532\pi\)
\(758\) 1.47740 13.2411i 0.0536617 0.480939i
\(759\) −1.65220 2.27406i −0.0599712 0.0825433i
\(760\) 4.49877 + 2.10643i 0.163188 + 0.0764081i
\(761\) 12.6474 17.4076i 0.458467 0.631026i −0.515723 0.856755i \(-0.672477\pi\)
0.974190 + 0.225730i \(0.0724766\pi\)
\(762\) −4.53821 4.13910i −0.164402 0.149944i
\(763\) 44.1490 + 60.7659i 1.59830 + 2.19987i
\(764\) −37.0131 8.36372i −1.33909 0.302589i
\(765\) 11.5335 + 14.2378i 0.416996 + 0.514771i
\(766\) 28.3714 31.1071i 1.02510 1.12395i
\(767\) −39.2520 + 19.9999i −1.41731 + 0.722154i
\(768\) 0.384743 + 7.17922i 0.0138832 + 0.259058i
\(769\) −10.3440 3.36097i −0.373014 0.121200i 0.116510 0.993190i \(-0.462829\pi\)
−0.489524 + 0.871990i \(0.662829\pi\)
\(770\) −17.3416 + 21.1444i −0.624947 + 0.761990i
\(771\) 9.44481 + 4.81237i 0.340147 + 0.173313i
\(772\) 33.2937 + 2.17232i 1.19827 + 0.0781836i
\(773\)