Properties

Label 177.3.h.a.5.20
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.20
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0718854 - 0.213348i) q^{2} +(0.416138 + 2.97100i) q^{3} +(3.14402 + 2.39002i) q^{4} +(7.60675 + 3.03081i) q^{5} +(0.663771 + 0.124789i) q^{6} +(4.35627 - 2.01543i) q^{7} +(1.48128 - 1.00433i) q^{8} +(-8.65366 + 2.47269i) q^{9} +O(q^{10})\) \(q+(0.0718854 - 0.213348i) q^{2} +(0.416138 + 2.97100i) q^{3} +(3.14402 + 2.39002i) q^{4} +(7.60675 + 3.03081i) q^{5} +(0.663771 + 0.124789i) q^{6} +(4.35627 - 2.01543i) q^{7} +(1.48128 - 1.00433i) q^{8} +(-8.65366 + 2.47269i) q^{9} +(1.19343 - 1.40502i) q^{10} +(-20.3175 - 5.64112i) q^{11} +(-5.79241 + 10.3355i) q^{12} +(10.6705 - 20.1268i) q^{13} +(-0.116835 - 1.07428i) q^{14} +(-5.83907 + 23.8609i) q^{15} +(4.11842 + 14.8332i) q^{16} +(6.72609 - 14.5382i) q^{17} +(-0.0945279 + 2.02399i) q^{18} +(-20.7890 + 4.57601i) q^{19} +(16.6721 + 27.7092i) q^{20} +(7.80064 + 12.1038i) q^{21} +(-2.66405 + 3.92918i) q^{22} +(3.12206 + 0.511835i) q^{23} +(3.60028 + 3.98293i) q^{24} +(30.5270 + 28.9167i) q^{25} +(-3.52696 - 3.72336i) q^{26} +(-10.9475 - 24.6810i) q^{27} +(18.5131 + 4.07505i) q^{28} +(-0.204099 - 0.605744i) q^{29} +(4.67093 + 2.96100i) q^{30} +(-39.7784 - 8.75589i) q^{31} +(10.6088 + 0.575193i) q^{32} +(8.30489 - 62.7107i) q^{33} +(-2.61819 - 2.48008i) q^{34} +(39.2455 - 2.12783i) q^{35} +(-33.1171 - 12.9083i) q^{36} +(-15.8511 + 23.3786i) q^{37} +(-0.518144 + 4.76425i) q^{38} +(64.2371 + 23.3267i) q^{39} +(14.3116 - 3.15023i) q^{40} +(13.9739 - 2.29091i) q^{41} +(3.14307 - 0.794167i) q^{42} +(-3.08193 - 11.1001i) q^{43} +(-50.3962 - 66.2951i) q^{44} +(-73.3205 - 7.41844i) q^{45} +(0.333629 - 0.629292i) q^{46} +(11.3922 - 4.53905i) q^{47} +(-42.3557 + 18.4085i) q^{48} +(-16.8068 + 19.7864i) q^{49} +(8.36378 - 4.43419i) q^{50} +(45.9919 + 13.9333i) q^{51} +(81.6519 - 37.7762i) q^{52} +(-35.8230 + 30.4284i) q^{53} +(-6.05262 + 0.561418i) q^{54} +(-137.453 - 104.489i) q^{55} +(4.42869 - 7.36055i) q^{56} +(-22.2464 - 59.8600i) q^{57} -0.143906 q^{58} +(58.4198 - 8.25420i) q^{59} +(-75.3862 + 61.0636i) q^{60} +(14.2552 + 4.80312i) q^{61} +(-4.72754 + 7.85723i) q^{62} +(-32.7142 + 28.2125i) q^{63} +(-21.9068 + 54.9819i) q^{64} +(142.169 - 120.759i) q^{65} +(-12.7822 - 6.27981i) q^{66} +(29.3943 + 43.3533i) q^{67} +(55.8936 - 29.6329i) q^{68} +(-0.221456 + 9.48862i) q^{69} +(2.36721 - 8.52591i) q^{70} +(32.2100 - 12.8336i) q^{71} +(-10.3351 + 12.3539i) q^{72} +(-58.7889 + 6.39367i) q^{73} +(3.84832 + 5.06238i) q^{74} +(-73.2081 + 102.729i) q^{75} +(-76.2980 - 35.2992i) q^{76} +(-99.8777 + 16.3741i) q^{77} +(9.59441 - 12.0280i) q^{78} +(40.6892 - 24.4819i) q^{79} +(-13.6288 + 125.315i) q^{80} +(68.7716 - 42.7956i) q^{81} +(0.515759 - 3.14599i) q^{82} +(-15.8720 + 0.860557i) q^{83} +(-4.40295 + 56.6983i) q^{84} +(95.2262 - 90.2030i) q^{85} +(-2.58973 - 0.140411i) q^{86} +(1.71473 - 0.858450i) q^{87} +(-35.7614 + 12.0494i) q^{88} +(-6.15329 - 18.2623i) q^{89} +(-6.85338 + 15.1095i) q^{90} +(5.91976 - 109.183i) q^{91} +(8.59252 + 9.07101i) q^{92} +(9.46044 - 121.825i) q^{93} +(-0.149469 - 2.75679i) q^{94} +(-172.006 - 28.1990i) q^{95} +(2.70583 + 31.7581i) q^{96} +(147.069 + 15.9947i) q^{97} +(3.01324 + 5.00805i) q^{98} +(189.769 - 1.42247i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0718854 0.213348i 0.0359427 0.106674i −0.928180 0.372132i \(-0.878627\pi\)
0.964122 + 0.265458i \(0.0855233\pi\)
\(3\) 0.416138 + 2.97100i 0.138713 + 0.990333i
\(4\) 3.14402 + 2.39002i 0.786006 + 0.597506i
\(5\) 7.60675 + 3.03081i 1.52135 + 0.606161i 0.973147 0.230184i \(-0.0739327\pi\)
0.548203 + 0.836345i \(0.315312\pi\)
\(6\) 0.663771 + 0.124789i 0.110629 + 0.0207982i
\(7\) 4.35627 2.01543i 0.622325 0.287918i −0.0832773 0.996526i \(-0.526539\pi\)
0.705602 + 0.708608i \(0.250677\pi\)
\(8\) 1.48128 1.00433i 0.185160 0.125541i
\(9\) −8.65366 + 2.47269i −0.961518 + 0.274743i
\(10\) 1.19343 1.40502i 0.119343 0.140502i
\(11\) −20.3175 5.64112i −1.84704 0.512829i −0.847213 0.531253i \(-0.821721\pi\)
−0.999830 + 0.0184237i \(0.994135\pi\)
\(12\) −5.79241 + 10.3355i −0.482701 + 0.861289i
\(13\) 10.6705 20.1268i 0.820811 1.54821i −0.0154480 0.999881i \(-0.504917\pi\)
0.836259 0.548334i \(-0.184738\pi\)
\(14\) −0.116835 1.07428i −0.00834538 0.0767345i
\(15\) −5.83907 + 23.8609i −0.389271 + 1.59073i
\(16\) 4.11842 + 14.8332i 0.257402 + 0.927077i
\(17\) 6.72609 14.5382i 0.395652 0.855188i −0.602709 0.797961i \(-0.705912\pi\)
0.998361 0.0572271i \(-0.0182259\pi\)
\(18\) −0.0945279 + 2.02399i −0.00525155 + 0.112444i
\(19\) −20.7890 + 4.57601i −1.09416 + 0.240843i −0.725156 0.688585i \(-0.758232\pi\)
−0.369004 + 0.929428i \(0.620301\pi\)
\(20\) 16.6721 + 27.7092i 0.833605 + 1.38546i
\(21\) 7.80064 + 12.1038i 0.371459 + 0.576371i
\(22\) −2.66405 + 3.92918i −0.121093 + 0.178599i
\(23\) 3.12206 + 0.511835i 0.135742 + 0.0222537i 0.229270 0.973363i \(-0.426366\pi\)
−0.0935281 + 0.995617i \(0.529814\pi\)
\(24\) 3.60028 + 3.98293i 0.150012 + 0.165956i
\(25\) 30.5270 + 28.9167i 1.22108 + 1.15667i
\(26\) −3.52696 3.72336i −0.135652 0.143206i
\(27\) −10.9475 24.6810i −0.405462 0.914112i
\(28\) 18.5131 + 4.07505i 0.661183 + 0.145537i
\(29\) −0.204099 0.605744i −0.00703789 0.0208877i 0.944077 0.329726i \(-0.106956\pi\)
−0.951115 + 0.308838i \(0.900060\pi\)
\(30\) 4.67093 + 2.96100i 0.155698 + 0.0987001i
\(31\) −39.7784 8.75589i −1.28317 0.282448i −0.479513 0.877535i \(-0.659187\pi\)
−0.803662 + 0.595087i \(0.797118\pi\)
\(32\) 10.6088 + 0.575193i 0.331526 + 0.0179748i
\(33\) 8.30489 62.7107i 0.251663 1.90032i
\(34\) −2.61819 2.48008i −0.0770056 0.0729436i
\(35\) 39.2455 2.12783i 1.12130 0.0607951i
\(36\) −33.1171 12.9083i −0.919919 0.358563i
\(37\) −15.8511 + 23.3786i −0.428407 + 0.631854i −0.979226 0.202771i \(-0.935005\pi\)
0.550819 + 0.834625i \(0.314316\pi\)
\(38\) −0.518144 + 4.76425i −0.0136354 + 0.125375i
\(39\) 64.2371 + 23.3267i 1.64710 + 0.598120i
\(40\) 14.3116 3.15023i 0.357791 0.0787558i
\(41\) 13.9739 2.29091i 0.340827 0.0558758i 0.0110621 0.999939i \(-0.496479\pi\)
0.329765 + 0.944063i \(0.393030\pi\)
\(42\) 3.14307 0.794167i 0.0748351 0.0189087i
\(43\) −3.08193 11.1001i −0.0716728 0.258142i 0.919030 0.394188i \(-0.128974\pi\)
−0.990702 + 0.136046i \(0.956560\pi\)
\(44\) −50.3962 66.2951i −1.14537 1.50671i
\(45\) −73.3205 7.41844i −1.62934 0.164854i
\(46\) 0.333629 0.629292i 0.00725281 0.0136803i
\(47\) 11.3922 4.53905i 0.242386 0.0965755i −0.245782 0.969325i \(-0.579045\pi\)
0.488168 + 0.872750i \(0.337665\pi\)
\(48\) −42.3557 + 18.4085i −0.882409 + 0.383510i
\(49\) −16.8068 + 19.7864i −0.342995 + 0.403805i
\(50\) 8.36378 4.43419i 0.167276 0.0886839i
\(51\) 45.9919 + 13.9333i 0.901803 + 0.273202i
\(52\) 81.6519 37.7762i 1.57023 0.726466i
\(53\) −35.8230 + 30.4284i −0.675906 + 0.574120i −0.918217 0.396079i \(-0.870371\pi\)
0.242310 + 0.970199i \(0.422095\pi\)
\(54\) −6.05262 + 0.561418i −0.112085 + 0.0103966i
\(55\) −137.453 104.489i −2.49914 1.89980i
\(56\) 4.42869 7.36055i 0.0790838 0.131438i
\(57\) −22.2464 59.8600i −0.390288 1.05017i
\(58\) −0.143906 −0.00248114
\(59\) 58.4198 8.25420i 0.990165 0.139902i
\(60\) −75.3862 + 61.0636i −1.25644 + 1.01773i
\(61\) 14.2552 + 4.80312i 0.233691 + 0.0787397i 0.433711 0.901052i \(-0.357204\pi\)
−0.200020 + 0.979792i \(0.564101\pi\)
\(62\) −4.72754 + 7.85723i −0.0762506 + 0.126730i
\(63\) −32.7142 + 28.2125i −0.519273 + 0.447818i
\(64\) −21.9068 + 54.9819i −0.342294 + 0.859093i
\(65\) 142.169 120.759i 2.18721 1.85783i
\(66\) −12.7822 6.27981i −0.193670 0.0951487i
\(67\) 29.3943 + 43.3533i 0.438720 + 0.647064i 0.981197 0.193007i \(-0.0618239\pi\)
−0.542477 + 0.840071i \(0.682514\pi\)
\(68\) 55.8936 29.6329i 0.821965 0.435778i
\(69\) −0.221456 + 9.48862i −0.00320951 + 0.137516i
\(70\) 2.36721 8.52591i 0.0338172 0.121799i
\(71\) 32.2100 12.8336i 0.453662 0.180755i −0.132104 0.991236i \(-0.542173\pi\)
0.585766 + 0.810480i \(0.300794\pi\)
\(72\) −10.3351 + 12.3539i −0.143543 + 0.171582i
\(73\) −58.7889 + 6.39367i −0.805327 + 0.0875846i −0.501517 0.865148i \(-0.667224\pi\)
−0.303810 + 0.952733i \(0.598259\pi\)
\(74\) 3.84832 + 5.06238i 0.0520043 + 0.0684105i
\(75\) −73.2081 + 102.729i −0.976108 + 1.36972i
\(76\) −76.2980 35.2992i −1.00392 0.464463i
\(77\) −99.8777 + 16.3741i −1.29711 + 0.212651i
\(78\) 9.59441 12.0280i 0.123005 0.154205i
\(79\) 40.6892 24.4819i 0.515053 0.309897i −0.234192 0.972190i \(-0.575244\pi\)
0.749245 + 0.662293i \(0.230417\pi\)
\(80\) −13.6288 + 125.315i −0.170360 + 1.56644i
\(81\) 68.7716 42.7956i 0.849032 0.528341i
\(82\) 0.515759 3.14599i 0.00628975 0.0383658i
\(83\) −15.8720 + 0.860557i −0.191229 + 0.0103682i −0.149505 0.988761i \(-0.547768\pi\)
−0.0417246 + 0.999129i \(0.513285\pi\)
\(84\) −4.40295 + 56.6983i −0.0524161 + 0.674979i
\(85\) 95.2262 90.2030i 1.12031 1.06121i
\(86\) −2.58973 0.140411i −0.0301132 0.00163269i
\(87\) 1.71473 0.858450i 0.0197095 0.00986724i
\(88\) −35.7614 + 12.0494i −0.406379 + 0.136925i
\(89\) −6.15329 18.2623i −0.0691381 0.205195i 0.907514 0.420022i \(-0.137978\pi\)
−0.976652 + 0.214827i \(0.931081\pi\)
\(90\) −6.85338 + 15.1095i −0.0761487 + 0.167884i
\(91\) 5.91976 109.183i 0.0650523 1.19982i
\(92\) 8.59252 + 9.07101i 0.0933969 + 0.0985979i
\(93\) 9.46044 121.825i 0.101725 1.30995i
\(94\) −0.149469 2.75679i −0.00159009 0.0293275i
\(95\) −172.006 28.1990i −1.81059 0.296831i
\(96\) 2.70583 + 31.7581i 0.0281857 + 0.330814i
\(97\) 147.069 + 15.9947i 1.51618 + 0.164894i 0.828033 0.560680i \(-0.189460\pi\)
0.688144 + 0.725574i \(0.258426\pi\)
\(98\) 3.01324 + 5.00805i 0.0307474 + 0.0511025i
\(99\) 189.769 1.42247i 1.91686 0.0143684i
\(100\) 26.8660 + 163.875i 0.268660 + 1.63875i
\(101\) 31.4151 67.9026i 0.311040 0.672303i −0.687507 0.726177i \(-0.741295\pi\)
0.998548 + 0.0538747i \(0.0171572\pi\)
\(102\) 6.27879 8.81070i 0.0615568 0.0863794i
\(103\) −114.541 + 87.0717i −1.11205 + 0.845356i −0.989127 0.147061i \(-0.953019\pi\)
−0.122919 + 0.992417i \(0.539226\pi\)
\(104\) −4.40792 40.5301i −0.0423838 0.389713i
\(105\) 22.6533 + 115.713i 0.215746 + 1.10203i
\(106\) 3.91668 + 9.83014i 0.0369499 + 0.0927371i
\(107\) 51.4407 + 14.2824i 0.480754 + 0.133481i 0.499447 0.866345i \(-0.333537\pi\)
−0.0186926 + 0.999825i \(0.505950\pi\)
\(108\) 24.5692 103.762i 0.227492 0.960763i
\(109\) −12.9038 24.3392i −0.118384 0.223296i 0.817237 0.576301i \(-0.195505\pi\)
−0.935621 + 0.353005i \(0.885160\pi\)
\(110\) −32.1734 + 21.8141i −0.292485 + 0.198310i
\(111\) −76.0540 37.3648i −0.685171 0.336620i
\(112\) 47.8363 + 56.3172i 0.427109 + 0.502832i
\(113\) −28.7673 11.4619i −0.254577 0.101433i 0.239358 0.970931i \(-0.423063\pi\)
−0.493936 + 0.869498i \(0.664442\pi\)
\(114\) −14.3702 + 0.443181i −0.126054 + 0.00388756i
\(115\) 22.1974 + 13.3558i 0.193021 + 0.116137i
\(116\) 0.806051 2.39227i 0.00694871 0.0206230i
\(117\) −42.5720 + 200.555i −0.363863 + 1.71415i
\(118\) 2.43851 13.0571i 0.0206653 0.110653i
\(119\) 76.8883i 0.646120i
\(120\) 15.3149 + 41.2089i 0.127625 + 0.343408i
\(121\) 277.298 + 166.845i 2.29172 + 1.37888i
\(122\) 2.04947 2.69604i 0.0167990 0.0220987i
\(123\) 12.6213 + 40.5631i 0.102613 + 0.329782i
\(124\) −104.137 122.600i −0.839818 0.988710i
\(125\) 58.6158 + 126.696i 0.468926 + 1.01357i
\(126\) 3.66742 + 9.00758i 0.0291065 + 0.0714887i
\(127\) 12.9731 + 24.4698i 0.102150 + 0.192676i 0.929319 0.369278i \(-0.120395\pi\)
−0.827169 + 0.561953i \(0.810050\pi\)
\(128\) 42.5456 + 36.1385i 0.332387 + 0.282332i
\(129\) 31.6959 13.7756i 0.245704 0.106787i
\(130\) −15.5439 39.0122i −0.119568 0.300094i
\(131\) −40.7018 21.5787i −0.310701 0.164723i 0.305760 0.952109i \(-0.401089\pi\)
−0.616461 + 0.787385i \(0.711434\pi\)
\(132\) 175.991 177.315i 1.33326 1.34329i
\(133\) −81.3401 + 61.8332i −0.611580 + 0.464911i
\(134\) 11.3624 3.15474i 0.0847938 0.0235429i
\(135\) −8.47124 220.922i −0.0627500 1.63646i
\(136\) −4.63796 28.2903i −0.0341027 0.208017i
\(137\) 44.5880 + 202.565i 0.325460 + 1.47858i 0.800882 + 0.598822i \(0.204364\pi\)
−0.475423 + 0.879758i \(0.657705\pi\)
\(138\) 2.00846 + 0.729340i 0.0145541 + 0.00528507i
\(139\) −6.68380 0.726907i −0.0480849 0.00522955i 0.0840449 0.996462i \(-0.473216\pi\)
−0.132130 + 0.991232i \(0.542182\pi\)
\(140\) 128.474 + 87.1076i 0.917673 + 0.622197i
\(141\) 18.2262 + 31.9572i 0.129264 + 0.226647i
\(142\) −0.422605 7.79449i −0.00297609 0.0548908i
\(143\) −330.336 + 348.732i −2.31004 + 2.43868i
\(144\) −72.3174 118.178i −0.502204 0.820681i
\(145\) 0.283363 5.22633i 0.00195423 0.0360436i
\(146\) −2.86198 + 13.0021i −0.0196026 + 0.0890556i
\(147\) −65.7794 41.6990i −0.447479 0.283666i
\(148\) −105.712 + 35.6184i −0.714267 + 0.240665i
\(149\) −13.7893 + 62.6455i −0.0925457 + 0.420440i 0.907454 + 0.420151i \(0.138023\pi\)
−1.00000 0.000288584i \(0.999908\pi\)
\(150\) 16.6545 + 23.0035i 0.111030 + 0.153357i
\(151\) −122.587 + 116.120i −0.811833 + 0.769009i −0.976080 0.217410i \(-0.930239\pi\)
0.164247 + 0.986419i \(0.447480\pi\)
\(152\) −26.1985 + 27.6574i −0.172359 + 0.181957i
\(153\) −22.2568 + 142.440i −0.145469 + 0.930981i
\(154\) −3.68636 + 22.4858i −0.0239374 + 0.146012i
\(155\) −276.047 187.165i −1.78095 1.20751i
\(156\) 146.212 + 226.868i 0.937253 + 1.45428i
\(157\) 216.406 130.207i 1.37838 0.829344i 0.382853 0.923809i \(-0.374942\pi\)
0.995528 + 0.0944652i \(0.0301141\pi\)
\(158\) −2.29821 10.4409i −0.0145456 0.0660814i
\(159\) −105.310 93.7678i −0.662327 0.589735i
\(160\) 78.9554 + 36.5286i 0.493471 + 0.228304i
\(161\) 14.6321 4.06258i 0.0908826 0.0252334i
\(162\) −4.18669 17.7487i −0.0258438 0.109560i
\(163\) −93.6563 + 10.1857i −0.574578 + 0.0624892i −0.390795 0.920478i \(-0.627800\pi\)
−0.183783 + 0.982967i \(0.558834\pi\)
\(164\) 49.4096 + 26.1953i 0.301278 + 0.159728i
\(165\) 253.237 451.854i 1.53477 2.73851i
\(166\) −0.957370 + 3.44813i −0.00576729 + 0.0207719i
\(167\) 60.0295 + 50.9895i 0.359458 + 0.305327i 0.808858 0.588004i \(-0.200086\pi\)
−0.449400 + 0.893331i \(0.648362\pi\)
\(168\) 23.7111 + 10.0946i 0.141138 + 0.0600871i
\(169\) −196.386 289.648i −1.16205 1.71390i
\(170\) −12.3993 26.8006i −0.0729370 0.157651i
\(171\) 168.586 91.0041i 0.985884 0.532188i
\(172\) 16.8399 42.2649i 0.0979061 0.245726i
\(173\) −64.5385 + 84.8990i −0.373055 + 0.490746i −0.943863 0.330338i \(-0.892837\pi\)
0.570807 + 0.821084i \(0.306630\pi\)
\(174\) −0.0598848 0.427545i −0.000344165 0.00245715i
\(175\) 191.263 + 64.4442i 1.09293 + 0.368252i
\(176\) 324.606i 1.84435i
\(177\) 48.8339 + 170.130i 0.275898 + 0.961187i
\(178\) −4.33857 −0.0243740
\(179\) 41.6980 123.755i 0.232950 0.691370i −0.765879 0.642985i \(-0.777696\pi\)
0.998829 0.0483855i \(-0.0154076\pi\)
\(180\) −212.791 198.561i −1.18217 1.10312i
\(181\) −4.44746 3.38087i −0.0245716 0.0186788i 0.592816 0.805338i \(-0.298016\pi\)
−0.617388 + 0.786659i \(0.711809\pi\)
\(182\) −22.8686 9.11167i −0.125651 0.0500641i
\(183\) −8.33795 + 44.3508i −0.0455626 + 0.242354i
\(184\) 5.13869 2.37741i 0.0279276 0.0129207i
\(185\) −191.431 + 129.794i −1.03476 + 0.701587i
\(186\) −25.3111 10.7758i −0.136081 0.0579345i
\(187\) −218.669 + 257.437i −1.16935 + 1.37667i
\(188\) 46.6656 + 12.9566i 0.248221 + 0.0689183i
\(189\) −97.4329 85.4535i −0.515518 0.452135i
\(190\) −18.3809 + 34.6701i −0.0967417 + 0.182474i
\(191\) 26.3720 + 242.487i 0.138073 + 1.26956i 0.834126 + 0.551574i \(0.185972\pi\)
−0.696053 + 0.717991i \(0.745062\pi\)
\(192\) −172.467 42.2050i −0.898268 0.219818i
\(193\) −53.5044 192.706i −0.277225 0.998475i −0.962743 0.270419i \(-0.912838\pi\)
0.685518 0.728056i \(-0.259576\pi\)
\(194\) 13.9846 30.2272i 0.0720854 0.155810i
\(195\) 417.937 + 372.130i 2.14327 + 1.90836i
\(196\) −100.131 + 22.0405i −0.510872 + 0.112451i
\(197\) −173.228 287.907i −0.879329 1.46146i −0.887147 0.461486i \(-0.847316\pi\)
0.00781861 0.999969i \(-0.497511\pi\)
\(198\) 13.3382 40.5892i 0.0673644 0.204996i
\(199\) 102.329 150.924i 0.514217 0.758413i −0.478603 0.878031i \(-0.658857\pi\)
0.992820 + 0.119618i \(0.0381671\pi\)
\(200\) 74.2609 + 12.1745i 0.371305 + 0.0608723i
\(201\) −116.570 + 105.371i −0.579953 + 0.524235i
\(202\) −12.2286 11.5836i −0.0605377 0.0573443i
\(203\) −2.10994 2.22744i −0.0103938 0.0109726i
\(204\) 111.299 + 153.728i 0.545582 + 0.753571i
\(205\) 113.239 + 24.9259i 0.552387 + 0.121590i
\(206\) 10.3428 + 30.6963i 0.0502076 + 0.149011i
\(207\) −28.2828 + 3.29063i −0.136632 + 0.0158967i
\(208\) 342.491 + 75.3880i 1.64659 + 0.362442i
\(209\) 448.195 + 24.3004i 2.14447 + 0.116270i
\(210\) 26.3155 + 3.48501i 0.125312 + 0.0165953i
\(211\) 109.503 + 103.727i 0.518972 + 0.491596i 0.901758 0.432241i \(-0.142277\pi\)
−0.382787 + 0.923837i \(0.625036\pi\)
\(212\) −185.353 + 10.0495i −0.874306 + 0.0474035i
\(213\) 51.5325 + 90.3553i 0.241937 + 0.424203i
\(214\) 6.74497 9.94808i 0.0315185 0.0464864i
\(215\) 10.1988 93.7765i 0.0474363 0.436170i
\(216\) −41.0042 25.5646i −0.189834 0.118354i
\(217\) −190.932 + 42.0274i −0.879873 + 0.193675i
\(218\) −6.12033 + 1.00338i −0.0280749 + 0.00460265i
\(219\) −43.4599 172.001i −0.198447 0.785393i
\(220\) −182.424 657.031i −0.829199 2.98651i
\(221\) −220.836 290.505i −0.999259 1.31450i
\(222\) −13.4389 + 13.5400i −0.0605355 + 0.0609910i
\(223\) 166.253 313.586i 0.745528 1.40622i −0.162243 0.986751i \(-0.551873\pi\)
0.907772 0.419465i \(-0.137782\pi\)
\(224\) 47.3742 18.8756i 0.211492 0.0842660i
\(225\) −335.672 174.752i −1.49188 0.776674i
\(226\) −4.51333 + 5.31350i −0.0199705 + 0.0235110i
\(227\) 127.516 67.6046i 0.561744 0.297818i −0.163237 0.986587i \(-0.552193\pi\)
0.724981 + 0.688769i \(0.241849\pi\)
\(228\) 73.1234 241.371i 0.320717 1.05864i
\(229\) −272.468 + 126.057i −1.18982 + 0.550468i −0.912010 0.410169i \(-0.865470\pi\)
−0.277807 + 0.960637i \(0.589608\pi\)
\(230\) 4.44510 3.77570i 0.0193265 0.0164161i
\(231\) −90.2104 289.923i −0.390521 1.25508i
\(232\) −0.910695 0.692292i −0.00392541 0.00298402i
\(233\) 51.1532 85.0172i 0.219542 0.364881i −0.727439 0.686173i \(-0.759289\pi\)
0.946980 + 0.321292i \(0.104117\pi\)
\(234\) 39.7278 + 23.4997i 0.169777 + 0.100426i
\(235\) 100.414 0.427295
\(236\) 203.401 + 113.673i 0.861868 + 0.481666i
\(237\) 89.6679 + 110.700i 0.378346 + 0.467087i
\(238\) −16.4040 5.52714i −0.0689243 0.0232233i
\(239\) −222.181 + 369.267i −0.929626 + 1.54505i −0.0941266 + 0.995560i \(0.530006\pi\)
−0.835500 + 0.549491i \(0.814822\pi\)
\(240\) −377.982 + 11.6571i −1.57492 + 0.0485711i
\(241\) 21.0227 52.7630i 0.0872312 0.218934i −0.878889 0.477026i \(-0.841715\pi\)
0.966120 + 0.258093i \(0.0830939\pi\)
\(242\) 55.5297 47.1673i 0.229462 0.194906i
\(243\) 155.764 + 186.511i 0.641005 + 0.767537i
\(244\) 33.3389 + 49.1713i 0.136635 + 0.201522i
\(245\) −187.814 + 99.5726i −0.766587 + 0.406419i
\(246\) 9.56136 + 0.223154i 0.0388673 + 0.000907129i
\(247\) −129.730 + 467.245i −0.525223 + 1.89168i
\(248\) −67.7167 + 26.9808i −0.273051 + 0.108794i
\(249\) −9.16167 46.7977i −0.0367939 0.187943i
\(250\) 31.2440 3.39799i 0.124976 0.0135920i
\(251\) −198.001 260.466i −0.788848 1.03771i −0.998206 0.0598726i \(-0.980931\pi\)
0.209358 0.977839i \(-0.432863\pi\)
\(252\) −170.283 + 10.5131i −0.675725 + 0.0417188i
\(253\) −60.5450 28.0111i −0.239308 0.110716i
\(254\) 6.15316 1.00876i 0.0242250 0.00397149i
\(255\) 307.620 + 245.380i 1.20635 + 0.962274i
\(256\) −192.086 + 115.574i −0.750334 + 0.451461i
\(257\) 3.08343 28.3517i 0.0119978 0.110318i −0.986608 0.163111i \(-0.947847\pi\)
0.998605 + 0.0527936i \(0.0168125\pi\)
\(258\) −0.660524 7.75252i −0.00256017 0.0300485i
\(259\) −21.9338 + 133.790i −0.0846864 + 0.516564i
\(260\) 735.599 39.8830i 2.82923 0.153396i
\(261\) 3.26402 + 4.73723i 0.0125058 + 0.0181503i
\(262\) −7.52965 + 7.13246i −0.0287391 + 0.0272231i
\(263\) −391.353 21.2185i −1.48803 0.0806788i −0.707909 0.706304i \(-0.750361\pi\)
−0.780124 + 0.625625i \(0.784844\pi\)
\(264\) −50.6804 101.233i −0.191971 0.383458i
\(265\) −364.719 + 122.888i −1.37630 + 0.463729i
\(266\) 7.34483 + 21.7987i 0.0276121 + 0.0819499i
\(267\) 51.6967 25.8811i 0.193621 0.0969328i
\(268\) −11.1992 + 206.557i −0.0417880 + 0.770734i
\(269\) 279.276 + 294.828i 1.03820 + 1.09601i 0.995291 + 0.0969349i \(0.0309039\pi\)
0.0429088 + 0.999079i \(0.486338\pi\)
\(270\) −47.7423 14.0737i −0.176823 0.0521250i
\(271\) 18.0811 + 333.486i 0.0667198 + 1.23057i 0.819802 + 0.572648i \(0.194084\pi\)
−0.753082 + 0.657927i \(0.771434\pi\)
\(272\) 243.349 + 39.8951i 0.894666 + 0.146673i
\(273\) 326.847 27.8478i 1.19724 0.102007i
\(274\) 46.4222 + 5.04872i 0.169424 + 0.0184260i
\(275\) −457.109 759.721i −1.66222 2.76262i
\(276\) −23.3743 + 29.3031i −0.0846894 + 0.106171i
\(277\) −40.9715 249.915i −0.147911 0.902220i −0.951638 0.307221i \(-0.900601\pi\)
0.803727 0.594999i \(-0.202847\pi\)
\(278\) −0.635552 + 1.37372i −0.00228616 + 0.00494145i
\(279\) 365.879 22.5891i 1.31140 0.0809646i
\(280\) 55.9964 42.5673i 0.199987 0.152026i
\(281\) 49.9715 + 459.481i 0.177835 + 1.63516i 0.654489 + 0.756072i \(0.272884\pi\)
−0.476654 + 0.879091i \(0.658150\pi\)
\(282\) 8.12821 1.59127i 0.0288234 0.00564282i
\(283\) 92.5286 + 232.229i 0.326956 + 0.820598i 0.996936 + 0.0782188i \(0.0249233\pi\)
−0.669980 + 0.742379i \(0.733697\pi\)
\(284\) 131.942 + 36.6334i 0.464583 + 0.128991i
\(285\) 12.2009 522.765i 0.0428100 1.83426i
\(286\) 50.6550 + 95.5454i 0.177115 + 0.334075i
\(287\) 56.2570 38.1432i 0.196017 0.132903i
\(288\) −93.2274 + 21.2548i −0.323706 + 0.0738013i
\(289\) 20.9757 + 24.6945i 0.0725802 + 0.0854480i
\(290\) −1.09466 0.436152i −0.00377468 0.00150397i
\(291\) 13.6807 + 443.598i 0.0470127 + 1.52439i
\(292\) −200.115 120.405i −0.685324 0.412346i
\(293\) 32.5154 96.5023i 0.110974 0.329359i −0.877748 0.479123i \(-0.840955\pi\)
0.988722 + 0.149764i \(0.0478513\pi\)
\(294\) −13.6250 + 11.0364i −0.0463435 + 0.0375387i
\(295\) 469.402 + 114.271i 1.59119 + 0.387361i
\(296\) 50.5499i 0.170777i
\(297\) 83.1963 + 563.212i 0.280122 + 1.89634i
\(298\) 12.3741 + 7.44522i 0.0415237 + 0.0249840i
\(299\) 43.6157 57.3754i 0.145872 0.191891i
\(300\) −475.693 + 148.013i −1.58564 + 0.493378i
\(301\) −35.7972 42.1437i −0.118927 0.140012i
\(302\) 15.9619 + 34.5010i 0.0528539 + 0.114242i
\(303\) 214.811 + 65.0773i 0.708949 + 0.214777i
\(304\) −153.495 289.523i −0.504918 0.952377i
\(305\) 93.8781 + 79.7408i 0.307797 + 0.261445i
\(306\) 28.7894 + 14.9878i 0.0940830 + 0.0489798i
\(307\) −129.122 324.071i −0.420592 1.05561i −0.974771 0.223209i \(-0.928347\pi\)
0.554178 0.832398i \(-0.313033\pi\)
\(308\) −353.152 187.230i −1.14660 0.607888i
\(309\) −306.354 304.067i −0.991438 0.984035i
\(310\) −59.7750 + 45.4398i −0.192823 + 0.146580i
\(311\) 3.90249 1.08352i 0.0125482 0.00348399i −0.261249 0.965272i \(-0.584134\pi\)
0.273797 + 0.961788i \(0.411720\pi\)
\(312\) 118.581 29.9620i 0.380066 0.0960321i
\(313\) 46.4396 + 283.269i 0.148369 + 0.905013i 0.951148 + 0.308736i \(0.0999059\pi\)
−0.802778 + 0.596277i \(0.796646\pi\)
\(314\) −12.2230 55.5298i −0.0389268 0.176846i
\(315\) −334.355 + 115.455i −1.06145 + 0.366525i
\(316\) 186.440 + 20.2766i 0.590000 + 0.0641664i
\(317\) 120.017 + 81.3738i 0.378604 + 0.256700i 0.735614 0.677401i \(-0.236894\pi\)
−0.357011 + 0.934100i \(0.616204\pi\)
\(318\) −27.5754 + 15.7272i −0.0867152 + 0.0494565i
\(319\) 0.729701 + 13.4585i 0.00228746 + 0.0421898i
\(320\) −333.279 + 351.839i −1.04150 + 1.09950i
\(321\) −21.0267 + 158.774i −0.0655037 + 0.494622i
\(322\) 0.185089 3.41377i 0.000574812 0.0106018i
\(323\) −73.3019 + 333.014i −0.226941 + 1.03100i
\(324\) 318.502 + 29.8155i 0.983031 + 0.0920230i
\(325\) 907.741 305.853i 2.79305 0.941087i
\(326\) −4.55941 + 20.7136i −0.0139859 + 0.0635387i
\(327\) 66.9421 48.4658i 0.204716 0.148213i
\(328\) 18.3984 17.4279i 0.0560927 0.0531339i
\(329\) 40.4792 42.7334i 0.123037 0.129889i
\(330\) −78.1982 86.5094i −0.236964 0.262150i
\(331\) 30.9230 188.622i 0.0934230 0.569855i −0.898086 0.439819i \(-0.855043\pi\)
0.991509 0.130036i \(-0.0415092\pi\)
\(332\) −51.9588 35.2290i −0.156502 0.106111i
\(333\) 79.3618 241.505i 0.238324 0.725241i
\(334\) 15.1938 9.14179i 0.0454903 0.0273706i
\(335\) 92.1994 + 418.866i 0.275222 + 1.25035i
\(336\) −147.412 + 165.557i −0.438726 + 0.492730i
\(337\) −50.2255 23.2368i −0.149037 0.0689520i 0.343953 0.938987i \(-0.388234\pi\)
−0.492990 + 0.870035i \(0.664096\pi\)
\(338\) −75.9133 + 21.0772i −0.224595 + 0.0623586i
\(339\) 22.0822 90.2372i 0.0651392 0.266186i
\(340\) 514.980 56.0075i 1.51465 0.164728i
\(341\) 758.804 + 402.292i 2.22523 + 1.17974i
\(342\) −7.29668 42.5094i −0.0213353 0.124297i
\(343\) −96.2581 + 346.690i −0.280636 + 1.01076i
\(344\) −15.7134 13.3471i −0.0456784 0.0387996i
\(345\) −30.4427 + 71.5064i −0.0882398 + 0.207265i
\(346\) 13.4737 + 19.8722i 0.0389412 + 0.0574340i
\(347\) −170.650 368.855i −0.491788 1.06298i −0.981564 0.191134i \(-0.938784\pi\)
0.489776 0.871848i \(-0.337079\pi\)
\(348\) 7.44287 + 1.39926i 0.0213876 + 0.00402086i
\(349\) 70.8924 177.927i 0.203130 0.509818i −0.791754 0.610840i \(-0.790832\pi\)
0.994884 + 0.101022i \(0.0322112\pi\)
\(350\) 27.4981 36.1731i 0.0785660 0.103352i
\(351\) −613.565 43.0227i −1.74805 0.122572i
\(352\) −212.300 71.5321i −0.603124 0.203216i
\(353\) 467.922i 1.32556i −0.748815 0.662779i \(-0.769377\pi\)
0.748815 0.662779i \(-0.230623\pi\)
\(354\) 39.8074 + 1.81125i 0.112450 + 0.00511652i
\(355\) 283.910 0.799746
\(356\) 24.3013 72.1237i 0.0682621 0.202595i
\(357\) 228.435 31.9961i 0.639874 0.0896250i
\(358\) −23.4055 17.7924i −0.0653785 0.0496994i
\(359\) 465.018 + 185.280i 1.29531 + 0.516100i 0.913010 0.407936i \(-0.133751\pi\)
0.382304 + 0.924037i \(0.375131\pi\)
\(360\) −116.059 + 62.6493i −0.322385 + 0.174026i
\(361\) 83.6098 38.6820i 0.231606 0.107152i
\(362\) −1.04101 + 0.705822i −0.00287572 + 0.00194978i
\(363\) −380.301 + 893.282i −1.04766 + 2.46083i
\(364\) 279.563 329.127i 0.768030 0.904195i
\(365\) −466.570 129.543i −1.27828 0.354911i
\(366\) 8.86278 + 4.96706i 0.0242153 + 0.0135712i
\(367\) −53.9214 + 101.707i −0.146925 + 0.277130i −0.946041 0.324047i \(-0.894956\pi\)
0.799116 + 0.601177i \(0.205301\pi\)
\(368\) 5.26579 + 48.4181i 0.0143092 + 0.131571i
\(369\) −115.261 + 54.3779i −0.312360 + 0.147365i
\(370\) 13.9301 + 50.1718i 0.0376490 + 0.135599i
\(371\) −94.7288 + 204.753i −0.255334 + 0.551895i
\(372\) 320.909 360.411i 0.862659 0.968846i
\(373\) 226.641 49.8875i 0.607617 0.133747i 0.0995041 0.995037i \(-0.468274\pi\)
0.508113 + 0.861291i \(0.330343\pi\)
\(374\) 39.2046 + 65.1586i 0.104825 + 0.174221i
\(375\) −352.021 + 226.870i −0.938723 + 0.604988i
\(376\) 12.3162 18.1651i 0.0327559 0.0483114i
\(377\) −14.3695 2.35576i −0.0381155 0.00624871i
\(378\) −25.2353 + 14.6443i −0.0667602 + 0.0387415i
\(379\) −335.467 317.771i −0.885136 0.838446i 0.102577 0.994725i \(-0.467291\pi\)
−0.987713 + 0.156279i \(0.950050\pi\)
\(380\) −473.395 499.757i −1.24578 1.31515i
\(381\) −67.3011 + 48.7257i −0.176643 + 0.127889i
\(382\) 53.6299 + 11.8048i 0.140392 + 0.0309027i
\(383\) −41.4497 123.018i −0.108224 0.321197i 0.879834 0.475281i \(-0.157654\pi\)
−0.988058 + 0.154084i \(0.950757\pi\)
\(384\) −89.6627 + 141.441i −0.233497 + 0.368337i
\(385\) −809.372 178.156i −2.10227 0.462744i
\(386\) −44.9596 2.43764i −0.116476 0.00631512i
\(387\) 54.1171 + 88.4359i 0.139837 + 0.228516i
\(388\) 424.161 + 401.787i 1.09320 + 1.03553i
\(389\) 452.549 24.5365i 1.16337 0.0630758i 0.537678 0.843150i \(-0.319301\pi\)
0.625687 + 0.780074i \(0.284819\pi\)
\(390\) 109.437 62.4154i 0.280607 0.160039i
\(391\) 28.4404 41.9464i 0.0727376 0.107280i
\(392\) −5.02333 + 46.1888i −0.0128146 + 0.117829i
\(393\) 47.1728 129.905i 0.120033 0.330546i
\(394\) −73.8769 + 16.2615i −0.187505 + 0.0412730i
\(395\) 383.712 62.9065i 0.971424 0.159257i
\(396\) 600.039 + 449.081i 1.51525 + 1.13404i
\(397\) 25.3272 + 91.2205i 0.0637966 + 0.229774i 0.988575 0.150733i \(-0.0481632\pi\)
−0.924778 + 0.380507i \(0.875749\pi\)
\(398\) −24.8434 32.6810i −0.0624207 0.0821130i
\(399\) −217.555 215.930i −0.545250 0.541179i
\(400\) −303.205 + 571.905i −0.758012 + 1.42976i
\(401\) −318.379 + 126.854i −0.793964 + 0.316344i −0.731622 0.681711i \(-0.761236\pi\)
−0.0623420 + 0.998055i \(0.519857\pi\)
\(402\) 14.1010 + 32.4448i 0.0350772 + 0.0807083i
\(403\) −600.685 + 707.182i −1.49053 + 1.75479i
\(404\) 261.058 138.404i 0.646184 0.342585i
\(405\) 652.834 117.102i 1.61194 0.289141i
\(406\) −0.626894 + 0.290032i −0.00154407 + 0.000714365i
\(407\) 453.935 385.576i 1.11532 0.947362i
\(408\) 82.1205 25.5521i 0.201276 0.0626276i
\(409\) −523.154 397.691i −1.27910 0.972350i −0.999927 0.0121103i \(-0.996145\pi\)
−0.279178 0.960239i \(-0.590062\pi\)
\(410\) 13.4581 22.3676i 0.0328247 0.0545552i
\(411\) −583.266 + 216.766i −1.41914 + 0.527411i
\(412\) −568.222 −1.37918
\(413\) 237.857 153.698i 0.575924 0.372151i
\(414\) −1.33107 + 6.27064i −0.00321515 + 0.0151465i
\(415\) −123.343 41.5591i −0.297212 0.100142i
\(416\) 124.779 207.384i 0.299949 0.498519i
\(417\) −0.621742 20.1601i −0.00149099 0.0483455i
\(418\) 37.4031 93.8747i 0.0894811 0.224581i
\(419\) 321.424 273.020i 0.767122 0.651600i −0.175870 0.984413i \(-0.556274\pi\)
0.942993 + 0.332814i \(0.107998\pi\)
\(420\) −205.334 + 417.945i −0.488890 + 0.995108i
\(421\) −115.024 169.648i −0.273217 0.402965i 0.666183 0.745789i \(-0.267927\pi\)
−0.939400 + 0.342823i \(0.888617\pi\)
\(422\) 30.0016 15.9058i 0.0710938 0.0376916i
\(423\) −87.3602 + 67.4486i −0.206525 + 0.159453i
\(424\) −22.5037 + 81.0511i −0.0530748 + 0.191158i
\(425\) 625.724 249.311i 1.47229 0.586615i
\(426\) 22.9816 4.49914i 0.0539473 0.0105614i
\(427\) 71.7797 7.80651i 0.168102 0.0182822i
\(428\) 127.595 + 167.849i 0.298120 + 0.392170i
\(429\) −1173.55 836.308i −2.73554 1.94944i
\(430\) −19.2739 8.91705i −0.0448230 0.0207373i
\(431\) −280.961 + 46.0612i −0.651881 + 0.106871i −0.478643 0.878009i \(-0.658871\pi\)
−0.173238 + 0.984880i \(0.555423\pi\)
\(432\) 321.013 264.033i 0.743085 0.611188i
\(433\) 157.937 95.0278i 0.364752 0.219464i −0.321365 0.946955i \(-0.604142\pi\)
0.686117 + 0.727492i \(0.259314\pi\)
\(434\) −4.75878 + 43.7563i −0.0109649 + 0.100821i
\(435\) 15.6453 1.33300i 0.0359663 0.00306437i
\(436\) 17.6014 107.364i 0.0403701 0.246247i
\(437\) −67.2467 + 3.64601i −0.153883 + 0.00834328i
\(438\) −39.8202 3.09227i −0.0909138 0.00705998i
\(439\) 262.057 248.234i 0.596942 0.565453i −0.328423 0.944531i \(-0.606517\pi\)
0.925365 + 0.379077i \(0.123759\pi\)
\(440\) −308.547 16.7290i −0.701244 0.0380204i
\(441\) 96.5142 212.783i 0.218853 0.482501i
\(442\) −77.8536 + 26.2319i −0.176139 + 0.0593483i
\(443\) 163.776 + 486.069i 0.369697 + 1.09722i 0.957554 + 0.288255i \(0.0930752\pi\)
−0.587857 + 0.808965i \(0.700028\pi\)
\(444\) −149.813 299.247i −0.337416 0.673979i
\(445\) 8.54300 157.566i 0.0191978 0.354082i
\(446\) −54.9519 58.0120i −0.123210 0.130072i
\(447\) −191.858 14.8989i −0.429212 0.0333308i
\(448\) 15.3800 + 283.668i 0.0343304 + 0.633187i
\(449\) −122.750 20.1239i −0.273386 0.0448194i 0.0235294 0.999723i \(-0.492510\pi\)
−0.296915 + 0.954904i \(0.595958\pi\)
\(450\) −61.4129 + 59.0530i −0.136473 + 0.131229i
\(451\) −296.838 32.2831i −0.658177 0.0715811i
\(452\) −63.0506 104.791i −0.139493 0.231838i
\(453\) −396.006 315.883i −0.874186 0.697314i
\(454\) −5.25680 32.0651i −0.0115789 0.0706279i
\(455\) 375.944 812.590i 0.826251 1.78591i
\(456\) −93.0724 66.3264i −0.204106 0.145453i
\(457\) 520.040 395.324i 1.13794 0.865042i 0.145697 0.989329i \(-0.453458\pi\)
0.992246 + 0.124287i \(0.0396645\pi\)
\(458\) 7.30760 + 67.1922i 0.0159555 + 0.146708i
\(459\) −432.451 6.85027i −0.942160 0.0149243i
\(460\) 37.8687 + 95.0432i 0.0823232 + 0.206616i
\(461\) −793.293 220.257i −1.72081 0.477780i −0.739976 0.672633i \(-0.765163\pi\)
−0.980833 + 0.194853i \(0.937577\pi\)
\(462\) −68.3393 1.59498i −0.147921 0.00345233i
\(463\) −118.008 222.587i −0.254877 0.480749i 0.722746 0.691114i \(-0.242880\pi\)
−0.977623 + 0.210365i \(0.932535\pi\)
\(464\) 8.14457 5.52216i 0.0175530 0.0119012i
\(465\) 441.192 898.022i 0.948800 1.93123i
\(466\) −14.4611 17.0249i −0.0310324 0.0365342i
\(467\) −378.869 150.955i −0.811283 0.323245i −0.0726546 0.997357i \(-0.523147\pi\)
−0.738629 + 0.674112i \(0.764526\pi\)
\(468\) −613.179 + 528.802i −1.31021 + 1.12992i
\(469\) 215.425 + 129.617i 0.459328 + 0.276368i
\(470\) 7.21832 21.4232i 0.0153581 0.0455813i
\(471\) 476.899 + 588.757i 1.01253 + 1.25002i
\(472\) 78.2459 70.8996i 0.165775 0.150211i
\(473\) 242.912i 0.513555i
\(474\) 30.0634 11.1728i 0.0634249 0.0235713i
\(475\) −766.951 461.459i −1.61463 0.971492i
\(476\) 183.765 241.739i 0.386061 0.507854i
\(477\) 234.760 351.896i 0.492160 0.737727i
\(478\) 62.8110 + 73.9468i 0.131404 + 0.154700i
\(479\) −201.609 435.771i −0.420896 0.909751i −0.995802 0.0915318i \(-0.970824\pi\)
0.574907 0.818219i \(-0.305038\pi\)
\(480\) −75.6702 + 249.777i −0.157646 + 0.520369i
\(481\) 301.396 + 568.494i 0.626603 + 1.18190i
\(482\) −9.74567 8.27805i −0.0202192 0.0171744i
\(483\) 18.1589 + 41.7813i 0.0375960 + 0.0865038i
\(484\) 473.068 + 1187.31i 0.977414 + 2.45312i
\(485\) 1070.24 + 567.406i 2.20668 + 1.16991i
\(486\) 50.9891 19.8246i 0.104916 0.0407913i
\(487\) 21.5082 16.3501i 0.0441646 0.0335731i −0.582859 0.812573i \(-0.698066\pi\)
0.627024 + 0.779000i \(0.284273\pi\)
\(488\) 25.9398 7.20214i 0.0531552 0.0147585i
\(489\) −69.2357 274.014i −0.141586 0.560356i
\(490\) 7.74256 + 47.2275i 0.0158011 + 0.0963827i
\(491\) −60.2978 273.935i −0.122806 0.557913i −0.997336 0.0729422i \(-0.976761\pi\)
0.874530 0.484971i \(-0.161170\pi\)
\(492\) −57.2650 + 157.697i −0.116392 + 0.320522i
\(493\) −10.1792 1.10706i −0.0206475 0.00224555i
\(494\) 90.3603 + 61.2658i 0.182916 + 0.124020i
\(495\) 1447.84 + 564.334i 2.92493 + 1.14007i
\(496\) −33.9463 626.103i −0.0684401 1.26230i
\(497\) 114.450 120.824i 0.230282 0.243106i
\(498\) −10.6428 1.40945i −0.0213711 0.00283021i
\(499\) 26.9489 497.043i 0.0540058 0.996078i −0.838460 0.544963i \(-0.816544\pi\)
0.892466 0.451115i \(-0.148974\pi\)
\(500\) −118.517 + 538.428i −0.237034 + 1.07686i
\(501\) −126.509 + 199.566i −0.252514 + 0.398336i
\(502\) −69.8032 + 23.5194i −0.139050 + 0.0468515i
\(503\) 6.50433 29.5495i 0.0129311 0.0587465i −0.969713 0.244246i \(-0.921459\pi\)
0.982644 + 0.185500i \(0.0593905\pi\)
\(504\) −20.1241 + 74.6464i −0.0399287 + 0.148108i
\(505\) 444.766 421.305i 0.880725 0.834267i
\(506\) −10.3284 + 10.9036i −0.0204119 + 0.0215486i
\(507\) 778.821 703.997i 1.53614 1.38855i
\(508\) −17.6958 + 107.939i −0.0348342 + 0.212479i
\(509\) −556.394 377.244i −1.09311 0.741148i −0.125123 0.992141i \(-0.539933\pi\)
−0.967989 + 0.250993i \(0.919243\pi\)
\(510\) 74.4647 47.9910i 0.146009 0.0941000i
\(511\) −243.214 + 146.337i −0.475958 + 0.286374i
\(512\) 58.8499 + 267.358i 0.114941 + 0.522183i
\(513\) 340.528 + 462.999i 0.663797 + 0.902532i
\(514\) −5.82712 2.69591i −0.0113368 0.00524497i
\(515\) −1135.18 + 315.181i −2.20424 + 0.612003i
\(516\) 132.576 + 32.4432i 0.256931 + 0.0628744i
\(517\) −257.065 + 27.9575i −0.497225 + 0.0540764i
\(518\) 26.9672 + 14.2971i 0.0520602 + 0.0276006i
\(519\) −279.092 156.414i −0.537749 0.301376i
\(520\) 89.3091 321.662i 0.171748 0.618581i
\(521\) 692.483 + 588.201i 1.32914 + 1.12898i 0.981522 + 0.191349i \(0.0612861\pi\)
0.347620 + 0.937635i \(0.386990\pi\)
\(522\) 1.24531 0.355835i 0.00238566 0.000681676i
\(523\) 455.148 + 671.294i 0.870265 + 1.28354i 0.957815 + 0.287384i \(0.0927857\pi\)
−0.0875505 + 0.996160i \(0.527904\pi\)
\(524\) −76.3937 165.122i −0.145789 0.315119i
\(525\) −111.872 + 595.061i −0.213089 + 1.13345i
\(526\) −32.6595 + 81.9691i −0.0620903 + 0.155835i
\(527\) −394.848 + 519.414i −0.749237 + 0.985604i
\(528\) 964.405 135.081i 1.82652 0.255835i
\(529\) −491.823 165.715i −0.929723 0.313260i
\(530\) 86.6461i 0.163483i
\(531\) −485.135 + 215.883i −0.913624 + 0.406559i
\(532\) −403.518 −0.758492
\(533\) 103.001 305.695i 0.193247 0.573537i
\(534\) −1.80544 12.8899i −0.00338098 0.0241383i
\(535\) 348.009 + 264.550i 0.650485 + 0.494486i
\(536\) 87.0821 + 34.6967i 0.162467 + 0.0647326i
\(537\) 385.029 + 72.3855i 0.717000 + 0.134796i
\(538\) 82.9768 38.3892i 0.154232 0.0713553i
\(539\) 453.089 307.202i 0.840610 0.569948i
\(540\) 501.375 714.831i 0.928473 1.32376i
\(541\) −613.695 + 722.498i −1.13437 + 1.33549i −0.199748 + 0.979847i \(0.564012\pi\)
−0.934624 + 0.355638i \(0.884264\pi\)
\(542\) 72.4483 + 20.1152i 0.133669 + 0.0371129i
\(543\) 8.19380 14.6203i 0.0150899 0.0269250i
\(544\) 79.7181 150.364i 0.146541 0.276405i
\(545\) −24.3888 224.252i −0.0447502 0.411471i
\(546\) 17.5543 71.7342i 0.0321507 0.131381i
\(547\) 107.001 + 385.383i 0.195615 + 0.704540i 0.994654 + 0.103262i \(0.0329279\pi\)
−0.799040 + 0.601278i \(0.794658\pi\)
\(548\) −343.950 + 743.436i −0.627646 + 1.35664i
\(549\) −135.236 6.31601i −0.246331 0.0115046i
\(550\) −194.945 + 42.9106i −0.354445 + 0.0780192i
\(551\) 7.01491 + 11.6589i 0.0127312 + 0.0211595i
\(552\) 9.20168 + 14.2777i 0.0166697 + 0.0258654i
\(553\) 127.912 188.656i 0.231305 0.341150i
\(554\) −56.2641 9.22404i −0.101560 0.0166499i
\(555\) −465.278 514.730i −0.838339 0.927441i
\(556\) −19.2767 18.2599i −0.0346703 0.0328415i
\(557\) −310.975 328.293i −0.558304 0.589395i 0.384341 0.923191i \(-0.374429\pi\)
−0.942645 + 0.333797i \(0.891670\pi\)
\(558\) 21.4820 79.6835i 0.0384983 0.142802i
\(559\) −256.295 56.4149i −0.458489 0.100921i
\(560\) 193.192 + 573.373i 0.344986 + 1.02388i
\(561\) −855.841 542.536i −1.52556 0.967087i
\(562\) 101.622 + 22.3686i 0.180821 + 0.0398018i
\(563\) −283.512 15.3716i −0.503574 0.0273030i −0.199397 0.979919i \(-0.563898\pi\)
−0.304176 + 0.952616i \(0.598381\pi\)
\(564\) −19.0748 + 144.035i −0.0338206 + 0.255382i
\(565\) −184.086 174.376i −0.325817 0.308630i
\(566\) 56.1971 3.04692i 0.0992882 0.00538325i
\(567\) 213.337 325.033i 0.376255 0.573251i
\(568\) 34.8227 51.3597i 0.0613076 0.0904220i
\(569\) 8.51787 78.3206i 0.0149699 0.137646i −0.984268 0.176683i \(-0.943463\pi\)
0.999238 + 0.0390366i \(0.0124289\pi\)
\(570\) −110.654 40.1822i −0.194130 0.0704950i
\(571\) 342.747 75.4443i 0.600257 0.132127i 0.0955609 0.995424i \(-0.469536\pi\)
0.504696 + 0.863297i \(0.331604\pi\)
\(572\) −1872.06 + 306.909i −3.27284 + 0.536554i
\(573\) −709.453 + 179.259i −1.23814 + 0.312843i
\(574\) −4.09373 14.7443i −0.00713193 0.0256869i
\(575\) 80.5064 + 105.904i 0.140011 + 0.184182i
\(576\) 53.6208 529.964i 0.0930917 0.920076i
\(577\) −272.487 + 513.965i −0.472248 + 0.890754i 0.526918 + 0.849916i \(0.323348\pi\)
−0.999166 + 0.0408381i \(0.986997\pi\)
\(578\) 6.77636 2.69995i 0.0117238 0.00467119i
\(579\) 550.263 239.154i 0.950367 0.413046i
\(580\) 13.3819 15.7544i 0.0230723 0.0271628i
\(581\) −67.4086 + 35.7378i −0.116022 + 0.0615108i
\(582\) 95.6243 + 28.9695i 0.164303 + 0.0497757i
\(583\) 899.484 416.146i 1.54285 0.713800i
\(584\) −80.6613 + 68.5143i −0.138119 + 0.117319i
\(585\) −931.679 + 1396.55i −1.59261 + 2.38726i
\(586\) −18.2512 13.8742i −0.0311454 0.0236761i
\(587\) −473.499 + 786.962i −0.806642 + 1.34065i 0.130410 + 0.991460i \(0.458371\pi\)
−0.937052 + 0.349190i \(0.886457\pi\)
\(588\) −107.150 288.317i −0.182229 0.490335i
\(589\) 867.022 1.47202
\(590\) 58.1227 91.9315i 0.0985131 0.155816i
\(591\) 783.284 634.468i 1.32535 1.07355i
\(592\) −412.061 138.840i −0.696050 0.234526i
\(593\) −132.236 + 219.778i −0.222995 + 0.370621i −0.948077 0.318042i \(-0.896975\pi\)
0.725081 + 0.688663i \(0.241802\pi\)
\(594\) 126.141 + 22.7369i 0.212358 + 0.0382777i
\(595\) 233.034 584.870i 0.391653 0.982975i
\(596\) −193.078 + 164.002i −0.323957 + 0.275171i
\(597\) 490.978 + 241.214i 0.822409 + 0.404044i
\(598\) −9.10561 13.4298i −0.0152268 0.0224578i
\(599\) 754.242 399.874i 1.25917 0.667569i 0.300959 0.953637i \(-0.402693\pi\)
0.958209 + 0.286068i \(0.0923484\pi\)
\(600\) −5.26753 + 225.695i −0.00877921 + 0.376159i
\(601\) 162.019 583.539i 0.269582 0.970947i −0.697521 0.716564i \(-0.745714\pi\)
0.967103 0.254383i \(-0.0818725\pi\)
\(602\) −11.5646 + 4.60775i −0.0192103 + 0.00765406i
\(603\) −361.567 302.482i −0.599614 0.501628i
\(604\) −662.946 + 72.0997i −1.09759 + 0.119370i
\(605\) 1603.66 + 2109.58i 2.65068 + 3.48691i
\(606\) 29.3259 41.1515i 0.0483926 0.0679068i
\(607\) 622.077 + 287.803i 1.02484 + 0.474141i 0.858980 0.512009i \(-0.171099\pi\)
0.165858 + 0.986150i \(0.446961\pi\)
\(608\) −223.179 + 36.5884i −0.367071 + 0.0601783i
\(609\) 5.73969 7.19556i 0.00942478 0.0118154i
\(610\) 23.7610 14.2965i 0.0389525 0.0234369i
\(611\) 30.2040 277.722i 0.0494338 0.454536i
\(612\) −410.411 + 394.641i −0.670607 + 0.644838i
\(613\) 35.9401 219.225i 0.0586299 0.357626i −0.941176 0.337917i \(-0.890278\pi\)
0.999806 0.0197092i \(-0.00627405\pi\)
\(614\) −78.4220 + 4.25192i −0.127723 + 0.00692495i
\(615\) −26.9315 + 346.807i −0.0437911 + 0.563913i
\(616\) −131.502 + 124.565i −0.213477 + 0.202216i
\(617\) −554.868 30.0841i −0.899300 0.0487586i −0.401311 0.915942i \(-0.631445\pi\)
−0.497989 + 0.867183i \(0.665928\pi\)
\(618\) −86.8945 + 43.5022i −0.140606 + 0.0703920i
\(619\) 1022.99 344.684i 1.65264 0.556841i 0.670003 0.742358i \(-0.266293\pi\)
0.982641 + 0.185517i \(0.0593961\pi\)
\(620\) −420.571 1248.21i −0.678340 2.01324i
\(621\) −21.5460 82.6589i −0.0346956 0.133106i
\(622\) 0.0493648 0.910479i 7.93646e−5 0.00146379i
\(623\) −63.6118 67.1542i −0.102106 0.107792i
\(624\) −81.4541 + 1048.91i −0.130535 + 1.68095i
\(625\) 4.97334 + 91.7279i 0.00795735 + 0.146765i
\(626\) 63.7733 + 10.4551i 0.101874 + 0.0167014i
\(627\) 114.314 + 1341.70i 0.182319 + 2.13987i
\(628\) 991.583 + 107.841i 1.57895 + 0.171721i
\(629\) 233.267 + 387.692i 0.370853 + 0.616363i
\(630\) 0.596917 + 79.6337i 0.000947487 + 0.126403i
\(631\) −152.522 930.341i −0.241714 1.47439i −0.776882 0.629646i \(-0.783200\pi\)
0.535168 0.844746i \(-0.320248\pi\)
\(632\) 35.6841 77.1299i 0.0564622 0.122041i
\(633\) −262.604 + 368.498i −0.414856 + 0.582145i
\(634\) 25.9885 19.7559i 0.0409912 0.0311607i
\(635\) 24.5197 + 225.455i 0.0386136 + 0.355046i
\(636\) −106.990 546.501i −0.168223 0.859279i
\(637\) 218.900 + 549.398i 0.343643 + 0.862478i
\(638\) 2.92381 + 0.811792i 0.00458277 + 0.00127240i
\(639\) −247.001 + 190.703i −0.386543 + 0.298440i
\(640\) 214.105 + 403.844i 0.334539 + 0.631007i
\(641\) −202.709 + 137.440i −0.316239 + 0.214416i −0.708971 0.705237i \(-0.750840\pi\)
0.392732 + 0.919653i \(0.371530\pi\)
\(642\) 32.3626 + 15.8995i 0.0504090 + 0.0247656i
\(643\) 135.968 + 160.074i 0.211459 + 0.248949i 0.857658 0.514220i \(-0.171918\pi\)
−0.646200 + 0.763169i \(0.723643\pi\)
\(644\) 55.7133 + 22.1982i 0.0865113 + 0.0344693i
\(645\) 282.854 8.72329i 0.438533 0.0135245i
\(646\) 65.7786 + 39.5777i 0.101824 + 0.0612657i
\(647\) −38.6526 + 114.717i −0.0597413 + 0.177306i −0.973368 0.229248i \(-0.926373\pi\)
0.913627 + 0.406554i \(0.133270\pi\)
\(648\) 58.8889 132.462i 0.0908779 0.204416i
\(649\) −1233.51 161.848i −1.90062 0.249381i
\(650\) 215.651i 0.331771i
\(651\) −204.318 549.771i −0.313852 0.844502i
\(652\) −318.802 191.817i −0.488959 0.294197i
\(653\) 5.43581 7.15068i 0.00832436 0.0109505i −0.791912 0.610635i \(-0.790914\pi\)
0.800236 + 0.599685i \(0.204707\pi\)
\(654\) −5.52793 17.7660i −0.00845250 0.0271651i
\(655\) −244.208 287.503i −0.372836 0.438936i
\(656\) 91.5320 + 197.843i 0.139531 + 0.301590i
\(657\) 492.929 200.695i 0.750273 0.305472i
\(658\) −6.20723 11.7081i −0.00943348 0.0177934i
\(659\) −436.633 370.879i −0.662568 0.562791i 0.251747 0.967793i \(-0.418995\pi\)
−0.914316 + 0.405002i \(0.867271\pi\)
\(660\) 1876.13 815.396i 2.84261 1.23545i
\(661\) 279.204 + 700.748i 0.422396 + 1.06013i 0.974105 + 0.226097i \(0.0725967\pi\)
−0.551709 + 0.834037i \(0.686024\pi\)
\(662\) −38.0192 20.1565i −0.0574309 0.0304479i
\(663\) 771.192 776.994i 1.16319 1.17194i
\(664\) −22.6466 + 17.2155i −0.0341064 + 0.0259270i
\(665\) −806.139 + 223.823i −1.21224 + 0.336576i
\(666\) −45.8197 34.2924i −0.0687984 0.0514901i
\(667\) −0.327167 1.99563i −0.000490506 0.00299195i
\(668\) 66.8680 + 303.784i 0.100102 + 0.454767i
\(669\) 1000.85 + 363.442i 1.49604 + 0.543261i
\(670\) 95.9921 + 10.4398i 0.143272 + 0.0155817i
\(671\) −262.534 178.002i −0.391257 0.265279i
\(672\) 75.7935 + 132.894i 0.112788 + 0.197758i
\(673\) 49.0927 + 905.461i 0.0729460 + 1.34541i 0.774401 + 0.632696i \(0.218052\pi\)
−0.701455 + 0.712714i \(0.747466\pi\)
\(674\) −8.56802 + 9.04514i −0.0127122 + 0.0134201i
\(675\) 379.501 1070.00i 0.562223 1.58519i
\(676\) 74.8230 1380.03i 0.110685 2.04146i
\(677\) −172.335 + 782.927i −0.254557 + 1.15647i 0.659763 + 0.751474i \(0.270657\pi\)
−0.914320 + 0.404992i \(0.867274\pi\)
\(678\) −17.6646 11.1979i −0.0260539 0.0165161i
\(679\) 672.910 226.730i 0.991030 0.333917i
\(680\) 50.4627 229.254i 0.0742098 0.337139i
\(681\) 253.917 + 350.717i 0.372860 + 0.515002i
\(682\) 140.375 132.971i 0.205829 0.194971i
\(683\) 298.019 314.615i 0.436338 0.460636i −0.470324 0.882494i \(-0.655863\pi\)
0.906662 + 0.421857i \(0.138622\pi\)
\(684\) 747.541 + 116.806i 1.09290 + 0.170769i
\(685\) −274.767 + 1676.00i −0.401119 + 2.44672i
\(686\) 67.0462 + 45.4585i 0.0977350 + 0.0662660i
\(687\) −487.900 757.045i −0.710189 1.10196i
\(688\) 151.958 91.4299i 0.220869 0.132892i
\(689\) 230.174 + 1045.69i 0.334069 + 1.51769i
\(690\) 13.0674 + 11.6352i 0.0189382 + 0.0168626i
\(691\) 294.806 + 136.392i 0.426637 + 0.197383i 0.621444 0.783458i \(-0.286546\pi\)
−0.194808 + 0.980841i \(0.562408\pi\)
\(692\) −405.821 + 112.676i −0.586447 + 0.162826i
\(693\) 823.820 388.663i 1.18877 0.560841i
\(694\) −90.9618 + 9.89269i −0.131069 + 0.0142546i
\(695\) −48.6389 25.7867i −0.0699840 0.0371032i
\(696\) 1.67782 2.99376i 0.00241067 0.00430138i
\(697\) 60.6841 218.564i 0.0870647 0.313579i
\(698\) −32.8642 27.9151i −0.0470834 0.0399930i
\(699\) 273.873 + 116.597i 0.391807 + 0.166806i
\(700\) 447.314 + 659.738i 0.639019 + 0.942483i
\(701\) −342.393 740.070i −0.488435 1.05574i −0.982492 0.186306i \(-0.940349\pi\)
0.494057 0.869430i \(-0.335514\pi\)
\(702\) −53.2852 + 127.810i −0.0759048 + 0.182066i
\(703\) 222.548 558.553i 0.316569 0.794528i
\(704\) 755.251 993.516i 1.07280 1.41124i
\(705\) 41.7862 + 298.331i 0.0592712 + 0.423164i
\(706\) −99.8303 33.6367i −0.141403 0.0476441i
\(707\) 359.117i 0.507945i
\(708\) −253.080 + 651.607i −0.357458 + 0.920349i
\(709\) −31.5779 −0.0445386 −0.0222693 0.999752i \(-0.507089\pi\)
−0.0222693 + 0.999752i \(0.507089\pi\)
\(710\) 20.4090 60.5716i 0.0287450 0.0853122i
\(711\) −291.574 + 312.470i −0.410091 + 0.439479i
\(712\) −27.4562 20.8716i −0.0385620 0.0293141i
\(713\) −119.709 47.6964i −0.167895 0.0668953i
\(714\) 9.59482 51.0362i 0.0134381 0.0714793i
\(715\) −3569.73 + 1651.53i −4.99262 + 2.30983i
\(716\) 426.877 289.430i 0.596198 0.404232i
\(717\) −1189.55 506.432i −1.65907 0.706321i
\(718\) 72.9572 85.8918i 0.101612 0.119626i
\(719\) 608.473 + 168.942i 0.846277 + 0.234968i 0.663490 0.748185i \(-0.269074\pi\)
0.182787 + 0.983153i \(0.441488\pi\)
\(720\) −191.925 1118.13i −0.266563 1.55296i
\(721\) −323.484 + 610.156i −0.448661 + 0.846264i
\(722\) −2.24241 20.6187i −0.00310584 0.0285577i
\(723\) 165.507 + 40.5018i 0.228917 + 0.0560190i
\(724\) −5.90255 21.2590i −0.00815269 0.0293633i
\(725\) 11.2856 24.3934i 0.0155663 0.0336461i
\(726\) 163.242 + 145.350i 0.224851 + 0.200207i
\(727\) 177.460 39.0619i 0.244099 0.0537302i −0.0912357 0.995829i \(-0.529082\pi\)
0.335335 + 0.942099i \(0.391151\pi\)
\(728\) −100.888 167.676i −0.138582 0.230325i
\(729\) −489.306 + 540.389i −0.671202 + 0.741275i
\(730\) −61.1773 + 90.2297i −0.0838045 + 0.123602i
\(731\) −182.105 29.8546i −0.249117 0.0408407i
\(732\) −132.214 + 119.512i −0.180620 + 0.163268i
\(733\) −917.565 869.164i −1.25179 1.18576i −0.974354 0.225020i \(-0.927755\pi\)
−0.277440 0.960743i \(-0.589486\pi\)
\(734\) 17.8228 + 18.8153i 0.0242817 + 0.0256339i
\(735\) −373.986 516.558i −0.508825 0.702801i
\(736\) 32.8269 + 7.22575i 0.0446018 + 0.00981760i
\(737\) −352.656 1046.65i −0.478502 1.42014i
\(738\) 3.31585 + 28.4997i 0.00449303 + 0.0386174i
\(739\) 317.371 + 69.8587i 0.429460 + 0.0945314i 0.424440 0.905456i \(-0.360471\pi\)
0.00502028 + 0.999987i \(0.498402\pi\)
\(740\) −912.074 49.4512i −1.23253 0.0668259i
\(741\) −1442.17 190.989i −1.94625 0.257745i
\(742\) 36.8741 + 34.9290i 0.0496955 + 0.0470741i
\(743\) 578.111 31.3443i 0.778076 0.0421861i 0.339177 0.940722i \(-0.389851\pi\)
0.438899 + 0.898536i \(0.355369\pi\)
\(744\) −108.339 189.958i −0.145617 0.255320i
\(745\) −294.758 + 434.736i −0.395649 + 0.583538i
\(746\) 5.64878 51.9397i 0.00757209 0.0696242i
\(747\) 135.223 46.6936i 0.181022 0.0625082i
\(748\) −1302.78 + 286.764i −1.74168 + 0.383374i
\(749\) 252.875 41.4567i 0.337617 0.0553495i
\(750\) 23.0972 + 91.4118i 0.0307963 + 0.121882i
\(751\) −77.6407 279.637i −0.103383 0.372352i 0.893701 0.448663i \(-0.148100\pi\)
−0.997084 + 0.0763108i \(0.975686\pi\)
\(752\) 114.246 + 150.289i 0.151923 + 0.199852i
\(753\) 691.447 696.650i 0.918257 0.925165i
\(754\) −1.53556 + 2.89637i −0.00203655 + 0.00384134i
\(755\) −1284.43 + 511.762i −1.70123 + 0.677830i
\(756\) −102.096 501.535i −0.135047 0.663406i
\(757\) 583.174 686.565i 0.770375 0.906955i −0.227388 0.973804i \(-0.573019\pi\)
0.997763 + 0.0668488i \(0.0212945\pi\)
\(758\) −91.9110 + 48.7281i −0.121255 + 0.0642851i
\(759\) 58.0259 191.536i 0.0764504 0.252352i
\(760\) −283.110 + 130.981i −0.372513 + 0.172343i
\(761\) 95.3373 80.9802i 0.125279 0.106413i −0.582557 0.812790i \(-0.697948\pi\)
0.707836 + 0.706377i \(0.249672\pi\)
\(762\) 5.55758 + 17.8612i 0.00729342 + 0.0234400i
\(763\) −105.267 80.0216i −0.137964 0.104878i
\(764\) −496.635 + 825.414i −0.650046 + 1.08038i
\(765\) −601.011 + 1016.05i −0.785635 + 1.32817i
\(766\) −29.2254 −0.0381533
\(767\) 457.240 1263.88i 0.596141 1.64782i
\(768\) −423.304 522.591i −0.551177 0.680457i
\(769\) 31.8997 + 10.7483i 0.0414821 + 0.0139769i 0.339966 0.940438i \(-0.389584\pi\)
−0.298484 + 0.954415i \(0.596481\pi\)
\(770\) −96.1914 + 159.871i −0.124924 + 0.207625i
\(771\) 85.5159 2.63733i 0.110916 0.00342067i
\(772\) 292.352 733.748i 0.378694 0.950450i
\(773\) −151.053 + 128.306i −0.195412 + 0.165984i −0.739751