Properties

Label 177.3.h.a.5.19
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 5.19
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0718854 + 0.213348i) q^{2} +(2.81983 - 1.02398i) q^{3} +(3.14402 + 2.39002i) q^{4} +(-7.60675 - 3.03081i) q^{5} +(0.0157589 + 0.675216i) q^{6} +(4.35627 - 2.01543i) q^{7} +(-1.48128 + 1.00433i) q^{8} +(6.90294 - 5.77490i) q^{9} +O(q^{10})\) \(q+(-0.0718854 + 0.213348i) q^{2} +(2.81983 - 1.02398i) q^{3} +(3.14402 + 2.39002i) q^{4} +(-7.60675 - 3.03081i) q^{5} +(0.0157589 + 0.675216i) q^{6} +(4.35627 - 2.01543i) q^{7} +(-1.48128 + 1.00433i) q^{8} +(6.90294 - 5.77490i) q^{9} +(1.19343 - 1.40502i) q^{10} +(20.3175 + 5.64112i) q^{11} +(11.3130 + 3.52006i) q^{12} +(10.6705 - 20.1268i) q^{13} +(0.116835 + 1.07428i) q^{14} +(-24.5533 - 0.757230i) q^{15} +(4.11842 + 14.8332i) q^{16} +(-6.72609 + 14.5382i) q^{17} +(0.735844 + 1.88786i) q^{18} +(-20.7890 + 4.57601i) q^{19} +(-16.6721 - 27.7092i) q^{20} +(10.2202 - 10.1439i) q^{21} +(-2.66405 + 3.92918i) q^{22} +(-3.12206 - 0.511835i) q^{23} +(-3.14855 + 4.34884i) q^{24} +(30.5270 + 28.9167i) q^{25} +(3.52696 + 3.72336i) q^{26} +(13.5518 - 23.3527i) q^{27} +(18.5131 + 4.07505i) q^{28} +(0.204099 + 0.605744i) q^{29} +(1.92657 - 5.18396i) q^{30} +(-39.7784 - 8.75589i) q^{31} +(-10.6088 - 0.575193i) q^{32} +(63.0683 - 4.89762i) q^{33} +(-2.61819 - 2.48008i) q^{34} +(-39.2455 + 2.12783i) q^{35} +(35.5051 - 1.65822i) q^{36} +(-15.8511 + 23.3786i) q^{37} +(0.518144 - 4.76425i) q^{38} +(9.47980 - 67.6806i) q^{39} +(14.3116 - 3.15023i) q^{40} +(-13.9739 + 2.29091i) q^{41} +(1.42950 + 2.90966i) q^{42} +(-3.08193 - 11.1001i) q^{43} +(50.3962 + 66.2951i) q^{44} +(-70.0115 + 23.0067i) q^{45} +(0.333629 - 0.629292i) q^{46} +(-11.3922 + 4.53905i) q^{47} +(26.8022 + 37.6101i) q^{48} +(-16.8068 + 19.7864i) q^{49} +(-8.36378 + 4.43419i) q^{50} +(-4.07966 + 47.8827i) q^{51} +(81.6519 - 37.7762i) q^{52} +(35.8230 - 30.4284i) q^{53} +(4.00808 + 4.56997i) q^{54} +(-137.453 - 104.489i) q^{55} +(-4.42869 + 7.36055i) q^{56} +(-53.9359 + 34.1911i) 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} +(18.4322 - 39.0694i) q^{63} +(-21.9068 + 54.9819i) q^{64} +(-142.169 + 120.759i) q^{65} +(-3.48879 + 13.8076i) q^{66} +(29.3943 + 43.3533i) q^{67} +(-55.8936 + 29.6329i) q^{68} +(-9.32779 + 1.75363i) q^{69} +(2.36721 - 8.52591i) q^{70} +(-32.2100 + 12.8336i) q^{71} +(-4.42526 + 15.4871i) q^{72} +(-58.7889 + 6.39367i) q^{73} +(-3.84832 - 5.06238i) q^{74} +(115.691 + 50.2814i) q^{75} +(-76.2980 - 35.2992i) q^{76} +(99.8777 - 16.3741i) q^{77} +(13.7581 + 6.88775i) q^{78} +(40.6892 - 24.4819i) q^{79} +(13.6288 - 125.315i) q^{80} +(14.3011 - 79.7275i) q^{81} +(0.515759 - 3.14599i) q^{82} +(15.8720 - 0.860557i) q^{83} +(56.3767 - 7.46607i) q^{84} +(95.2262 - 90.2030i) q^{85} +(2.58973 + 0.140411i) q^{86} +(1.19579 + 1.49911i) q^{87} +(-35.7614 + 12.0494i) q^{88} +(6.15329 + 18.2623i) q^{89} +(0.124360 - 16.5907i) q^{90} +(5.91976 - 109.183i) q^{91} +(-8.59252 - 9.07101i) q^{92} +(-121.134 + 16.0420i) q^{93} +(-0.149469 - 2.75679i) q^{94} +(172.006 + 28.1990i) q^{95} +(-30.5041 + 9.24124i) q^{96} +(147.069 + 15.9947i) q^{97} +(-3.01324 - 5.00805i) q^{98} +(172.827 - 78.3910i) 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 −0.964122 0.265458i \(-0.914477\pi\)
0.928180 + 0.372132i \(0.121373\pi\)
\(3\) 2.81983 1.02398i 0.939945 0.341326i
\(4\) 3.14402 + 2.39002i 0.786006 + 0.597506i
\(5\) −7.60675 3.03081i −1.52135 0.606161i −0.548203 0.836345i \(-0.684688\pi\)
−0.973147 + 0.230184i \(0.926067\pi\)
\(6\) 0.0157589 + 0.675216i 0.00262649 + 0.112536i
\(7\) 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
\(9\) 6.90294 5.77490i 0.766993 0.641655i
\(10\) 1.19343 1.40502i 0.119343 0.140502i
\(11\) 20.3175 + 5.64112i 1.84704 + 0.512829i 0.999830 0.0184237i \(-0.00586479\pi\)
0.847213 + 0.531253i \(0.178279\pi\)
\(12\) 11.3130 + 3.52006i 0.942746 + 0.293339i
\(13\) 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
\(15\) −24.5533 0.757230i −1.63688 0.0504820i
\(16\) 4.11842 + 14.8332i 0.257402 + 0.927077i
\(17\) −6.72609 + 14.5382i −0.395652 + 0.855188i 0.602709 + 0.797961i \(0.294088\pi\)
−0.998361 + 0.0572271i \(0.981774\pi\)
\(18\) 0.735844 + 1.88786i 0.0408802 + 0.104881i
\(19\) −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
\(21\) 10.2202 10.1439i 0.486677 0.483043i
\(22\) −2.66405 + 3.92918i −0.121093 + 0.178599i
\(23\) −3.12206 0.511835i −0.135742 0.0222537i 0.0935281 0.995617i \(-0.470186\pi\)
−0.229270 + 0.973363i \(0.573634\pi\)
\(24\) −3.14855 + 4.34884i −0.131189 + 0.181202i
\(25\) 30.5270 + 28.9167i 1.22108 + 1.15667i
\(26\) 3.52696 + 3.72336i 0.135652 + 0.143206i
\(27\) 13.5518 23.3527i 0.501918 0.864915i
\(28\) 18.5131 + 4.07505i 0.661183 + 0.145537i
\(29\) 0.204099 + 0.605744i 0.00703789 + 0.0208877i 0.951115 0.308838i \(-0.0999402\pi\)
−0.944077 + 0.329726i \(0.893044\pi\)
\(30\) 1.92657 5.18396i 0.0642192 0.172799i
\(31\) −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
\(33\) 63.0683 4.89762i 1.91116 0.148413i
\(34\) −2.61819 2.48008i −0.0770056 0.0729436i
\(35\) −39.2455 + 2.12783i −1.12130 + 0.0607951i
\(36\) 35.5051 1.65822i 0.986254 0.0460617i
\(37\) −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
\(39\) 9.47980 67.6806i 0.243072 1.73540i
\(40\) 14.3116 3.15023i 0.357791 0.0787558i
\(41\) −13.9739 + 2.29091i −0.340827 + 0.0558758i −0.329765 0.944063i \(-0.606970\pi\)
−0.0110621 + 0.999939i \(0.503521\pi\)
\(42\) 1.42950 + 2.90966i 0.0340357 + 0.0692777i
\(43\) −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
\(45\) −70.0115 + 23.0067i −1.55581 + 0.511261i
\(46\) 0.333629 0.629292i 0.00725281 0.0136803i
\(47\) −11.3922 + 4.53905i −0.242386 + 0.0965755i −0.488168 0.872750i \(-0.662335\pi\)
0.245782 + 0.969325i \(0.420955\pi\)
\(48\) 26.8022 + 37.6101i 0.558379 + 0.783543i
\(49\) −16.8068 + 19.7864i −0.342995 + 0.403805i
\(50\) −8.36378 + 4.43419i −0.167276 + 0.0886839i
\(51\) −4.07966 + 47.8827i −0.0799934 + 0.938876i
\(52\) 81.6519 37.7762i 1.57023 0.726466i
\(53\) 35.8230 30.4284i 0.675906 0.574120i −0.242310 0.970199i \(-0.577905\pi\)
0.918217 + 0.396079i \(0.129629\pi\)
\(54\) 4.00808 + 4.56997i 0.0742238 + 0.0846290i
\(55\) −137.453 104.489i −2.49914 1.89980i
\(56\) −4.42869 + 7.36055i −0.0790838 + 0.131438i
\(57\) −53.9359 + 34.1911i −0.946245 + 0.599844i
\(58\) −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
\(63\) 18.4322 39.0694i 0.292575 0.620149i
\(64\) −21.9068 + 54.9819i −0.342294 + 0.859093i
\(65\) −142.169 + 120.759i −2.18721 + 1.85783i
\(66\) −3.48879 + 13.8076i −0.0528605 + 0.209206i
\(67\) 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
\(69\) −9.32779 + 1.75363i −0.135185 + 0.0254149i
\(70\) 2.36721 8.52591i 0.0338172 0.121799i
\(71\) −32.2100 + 12.8336i −0.453662 + 0.180755i −0.585766 0.810480i \(-0.699206\pi\)
0.132104 + 0.991236i \(0.457827\pi\)
\(72\) −4.42526 + 15.4871i −0.0614619 + 0.215098i
\(73\) −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
\(75\) 115.691 + 50.2814i 1.54255 + 0.670419i
\(76\) −76.2980 35.2992i −1.00392 0.464463i
\(77\) 99.8777 16.3741i 1.29711 0.212651i
\(78\) 13.7581 + 6.88775i 0.176386 + 0.0883044i
\(79\) 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
\(81\) 14.3011 79.7275i 0.176557 0.984290i
\(82\) 0.515759 3.14599i 0.00628975 0.0383658i
\(83\) 15.8720 0.860557i 0.191229 0.0103682i 0.0417246 0.999129i \(-0.486715\pi\)
0.149505 + 0.988761i \(0.452232\pi\)
\(84\) 56.3767 7.46607i 0.671152 0.0888818i
\(85\) 95.2262 90.2030i 1.12031 1.06121i
\(86\) 2.58973 + 0.140411i 0.0301132 + 0.00163269i
\(87\) 1.19579 + 1.49911i 0.0137448 + 0.0172311i
\(88\) −35.7614 + 12.0494i −0.406379 + 0.136925i
\(89\) 6.15329 + 18.2623i 0.0691381 + 0.205195i 0.976652 0.214827i \(-0.0689189\pi\)
−0.907514 + 0.420022i \(0.862022\pi\)
\(90\) 0.124360 16.5907i 0.00138178 0.184341i
\(91\) 5.91976 109.183i 0.0650523 1.19982i
\(92\) −8.59252 9.07101i −0.0933969 0.0985979i
\(93\) −121.134 + 16.0420i −1.30252 + 0.172495i
\(94\) −0.149469 2.75679i −0.00159009 0.0293275i
\(95\) 172.006 + 28.1990i 1.81059 + 0.296831i
\(96\) −30.5041 + 9.24124i −0.317751 + 0.0962630i
\(97\) 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
\(99\) 172.827 78.3910i 1.74573 0.791829i
\(100\) 26.8660 + 163.875i 0.268660 + 1.63875i
\(101\) −31.4151 + 67.9026i −0.311040 + 0.672303i −0.998548 0.0538747i \(-0.982843\pi\)
0.687507 + 0.726177i \(0.258705\pi\)
\(102\) −9.92242 4.31245i −0.0972786 0.0422790i
\(103\) −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
\(105\) −108.487 + 46.1866i −1.03321 + 0.439872i
\(106\) 3.91668 + 9.83014i 0.0369499 + 0.0927371i
\(107\) −51.4407 14.2824i −0.480754 0.133481i 0.0186926 0.999825i \(-0.494050\pi\)
−0.499447 + 0.866345i \(0.666463\pi\)
\(108\) 98.4206 41.0324i 0.911302 0.379929i
\(109\) −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
\(111\) −20.7583 + 82.1549i −0.187011 + 0.740134i
\(112\) 47.8363 + 56.3172i 0.427109 + 0.502832i
\(113\) 28.7673 + 11.4619i 0.254577 + 0.101433i 0.493936 0.869498i \(-0.335558\pi\)
−0.239358 + 0.970931i \(0.576937\pi\)
\(114\) −3.41741 13.9650i −0.0299773 0.122500i
\(115\) 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
\(120\) 37.1307 23.5379i 0.309423 0.196150i
\(121\) 277.298 + 166.845i 2.29172 + 1.37888i
\(122\) −2.04947 + 2.69604i −0.0167990 + 0.0220987i
\(123\) −37.0583 + 20.7690i −0.301287 + 0.168853i
\(124\) −104.137 122.600i −0.839818 0.988710i
\(125\) −58.6158 126.696i −0.468926 1.01357i
\(126\) 7.01038 + 6.74100i 0.0556379 + 0.0535000i
\(127\) 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
\(129\) −20.0568 28.1446i −0.155479 0.218175i
\(130\) −15.5439 39.0122i −0.119568 0.300094i
\(131\) 40.7018 + 21.5787i 0.310701 + 0.164723i 0.616461 0.787385i \(-0.288566\pi\)
−0.305760 + 0.952109i \(0.598911\pi\)
\(132\) 209.994 + 135.337i 1.59086 + 1.02528i
\(133\) −81.3401 + 61.8332i −0.611580 + 0.464911i
\(134\) −11.3624 + 3.15474i −0.0847938 + 0.0235429i
\(135\) −173.863 + 136.565i −1.28787 + 1.01160i
\(136\) −4.63796 28.2903i −0.0341027 0.208017i
\(137\) −44.5880 202.565i −0.325460 1.47858i −0.800882 0.598822i \(-0.795636\pi\)
0.475423 0.879758i \(-0.342295\pi\)
\(138\) 0.296399 2.11613i 0.00214782 0.0153343i
\(139\) −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
\(141\) −27.4761 + 24.4647i −0.194866 + 0.173508i
\(142\) −0.422605 7.79449i −0.00297609 0.0548908i
\(143\) 330.336 348.732i 2.31004 2.43868i
\(144\) 114.090 + 78.6094i 0.792289 + 0.545898i
\(145\) 0.283363 5.22633i 0.00195423 0.0360436i
\(146\) 2.86198 13.0021i 0.0196026 0.0890556i
\(147\) −27.1314 + 73.0043i −0.184567 + 0.496628i
\(148\) −105.712 + 35.6184i −0.714267 + 0.240665i
\(149\) 13.7893 62.6455i 0.0925457 0.420440i −0.907454 0.420151i \(-0.861977\pi\)
1.00000 0.000288584i \(-9.18593e-5\pi\)
\(150\) −19.0440 + 21.0680i −0.126960 + 0.140453i
\(151\) −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
\(153\) 37.5268 + 139.199i 0.245273 + 0.909796i
\(154\) −3.68636 + 22.4858i −0.0239374 + 0.146012i
\(155\) 276.047 + 187.165i 1.78095 + 1.20751i
\(156\) 191.563 190.132i 1.22797 1.21880i
\(157\) 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
\(159\) 69.8571 122.485i 0.439353 0.770346i
\(160\) 78.9554 + 36.5286i 0.493471 + 0.228304i
\(161\) −14.6321 + 4.06258i −0.0908826 + 0.0252334i
\(162\) 15.9817 + 8.78236i 0.0986524 + 0.0542121i
\(163\) −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
\(165\) −494.589 153.893i −2.99751 0.932684i
\(166\) −0.957370 + 3.44813i −0.00576729 + 0.0207719i
\(167\) −60.0295 50.9895i −0.359458 0.305327i 0.449400 0.893331i \(-0.351638\pi\)
−0.808858 + 0.588004i \(0.799914\pi\)
\(168\) −4.95115 + 25.2904i −0.0294711 + 0.150538i
\(169\) −196.386 289.648i −1.16205 1.71390i
\(170\) 12.3993 + 26.8006i 0.0729370 + 0.157651i
\(171\) −117.079 + 151.643i −0.684675 + 0.886799i
\(172\) 16.8399 42.2649i 0.0979061 0.245726i
\(173\) 64.5385 84.8990i 0.373055 0.490746i −0.570807 0.821084i \(-0.693370\pi\)
0.943863 + 0.330338i \(0.107163\pi\)
\(174\) −0.405791 + 0.147357i −0.00233213 + 0.000846877i
\(175\) 191.263 + 64.4442i 1.09293 + 0.368252i
\(176\) 324.606i 1.84435i
\(177\) −156.282 + 83.0960i −0.882949 + 0.469469i
\(178\) −4.33857 −0.0243740
\(179\) −41.6980 + 123.755i −0.232950 + 0.691370i 0.765879 + 0.642985i \(0.222304\pi\)
−0.998829 + 0.0483855i \(0.984592\pi\)
\(180\) −275.105 94.9956i −1.52836 0.527753i
\(181\) −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
\(183\) 45.1155 1.05295i 0.246533 0.00575385i
\(184\) 5.13869 2.37741i 0.0279276 0.0129207i
\(185\) 191.431 129.794i 1.03476 0.701587i
\(186\) 5.28525 26.9970i 0.0284153 0.145145i
\(187\) −218.669 + 257.437i −1.16935 + 1.37667i
\(188\) −46.6656 12.9566i −0.248221 0.0689183i
\(189\) 11.9696 129.043i 0.0633311 0.682769i
\(190\) −18.3809 + 34.6701i −0.0967417 + 0.182474i
\(191\) −26.3720 242.487i −0.138073 1.26956i −0.834126 0.551574i \(-0.814028\pi\)
0.696053 0.717991i \(-0.254938\pi\)
\(192\) −5.47329 + 177.472i −0.0285067 + 0.924334i
\(193\) −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
\(195\) −277.237 + 486.098i −1.42173 + 2.49281i
\(196\) −100.131 + 22.0405i −0.510872 + 0.112451i
\(197\) 173.228 + 287.907i 0.879329 + 1.46146i 0.887147 + 0.461486i \(0.152684\pi\)
−0.00781861 + 0.999969i \(0.502489\pi\)
\(198\) 4.30084 + 42.5075i 0.0217214 + 0.214685i
\(199\) 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
\(201\) 127.280 + 92.1500i 0.633233 + 0.458458i
\(202\) −12.2286 11.5836i −0.0605377 0.0573443i
\(203\) 2.10994 + 2.22744i 0.0103938 + 0.0109726i
\(204\) −127.267 + 140.794i −0.623859 + 0.690165i
\(205\) 113.239 + 24.9259i 0.552387 + 0.121590i
\(206\) −10.3428 30.6963i −0.0502076 0.149011i
\(207\) −24.5072 + 14.4964i −0.118392 + 0.0700309i
\(208\) 342.491 + 75.3880i 1.64659 + 0.362442i
\(209\) −448.195 24.3004i −2.14447 0.116270i
\(210\) −2.05521 26.4656i −0.00978671 0.126027i
\(211\) 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
\(213\) −77.6855 + 69.1710i −0.364721 + 0.324747i
\(214\) 6.74497 9.94808i 0.0315185 0.0464864i
\(215\) −10.1988 + 93.7765i −0.0474363 + 0.436170i
\(216\) 3.37991 + 48.2023i 0.0156477 + 0.223159i
\(217\) −190.932 + 42.0274i −0.879873 + 0.193675i
\(218\) 6.12033 1.00338i 0.0280749 0.00460265i
\(219\) −159.228 + 78.2276i −0.727068 + 0.357204i
\(220\) −182.424 657.031i −0.829199 2.98651i
\(221\) 220.836 + 290.505i 0.999259 + 1.31450i
\(222\) −16.0354 10.3345i −0.0722315 0.0465517i
\(223\) 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
\(225\) 377.717 + 23.3200i 1.67874 + 0.103644i
\(226\) −4.51333 + 5.31350i −0.0199705 + 0.0235110i
\(227\) −127.516 + 67.6046i −0.561744 + 0.297818i −0.724981 0.688769i \(-0.758151\pi\)
0.163237 + 0.986587i \(0.447807\pi\)
\(228\) −251.293 21.4105i −1.10216 0.0939057i
\(229\) −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
\(231\) 264.872 148.445i 1.14663 0.642619i
\(232\) −0.910695 0.692292i −0.00392541 0.00298402i
\(233\) −51.1532 + 85.0172i −0.219542 + 0.364881i −0.946980 0.321292i \(-0.895883\pi\)
0.727439 + 0.686173i \(0.240711\pi\)
\(234\) 45.8484 + 5.33434i 0.195933 + 0.0227963i
\(235\) 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 \(-0.469994\pi\)
0.835500 0.549491i \(-0.185178\pi\)
\(240\) −89.8886 367.323i −0.374536 1.53051i
\(241\) 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
\(243\) −41.3124 239.462i −0.170010 0.985442i
\(244\) 33.3389 + 49.1713i 0.136635 + 0.201522i
\(245\) 187.814 99.5726i 0.766587 0.406419i
\(246\) −1.76707 9.39930i −0.00718321 0.0382086i
\(247\) −129.730 + 467.245i −0.525223 + 1.89168i
\(248\) 67.7167 26.9808i 0.273051 0.108794i
\(249\) 43.8754 18.6793i 0.176206 0.0750171i
\(250\) 31.2440 3.39799i 0.124976 0.0135920i
\(251\) 198.001 + 260.466i 0.788848 + 1.03771i 0.998206 + 0.0598726i \(0.0190694\pi\)
−0.209358 + 0.977839i \(0.567137\pi\)
\(252\) 151.328 78.7816i 0.600508 0.312626i
\(253\) −60.5450 28.0111i −0.239308 0.110716i
\(254\) −6.15316 + 1.00876i −0.0242250 + 0.00397149i
\(255\) 176.156 351.867i 0.690808 1.37987i
\(256\) −192.086 + 115.574i −0.750334 + 0.451461i
\(257\) −3.08343 + 28.3517i −0.0119978 + 0.110318i −0.998605 0.0527936i \(-0.983187\pi\)
0.986608 + 0.163111i \(0.0521530\pi\)
\(258\) 7.44640 2.25589i 0.0288620 0.00874377i
\(259\) −21.9338 + 133.790i −0.0846864 + 0.516564i
\(260\) −735.599 + 39.8830i −2.82923 + 0.153396i
\(261\) 4.90699 + 3.00276i 0.0188007 + 0.0115048i
\(262\) −7.52965 + 7.13246i −0.0287391 + 0.0272231i
\(263\) 391.353 + 21.2185i 1.48803 + 0.0806788i 0.780124 0.625625i \(-0.215156\pi\)
0.707909 + 0.706304i \(0.249639\pi\)
\(264\) −88.5029 + 70.5962i −0.335238 + 0.267410i
\(265\) −364.719 + 122.888i −1.37630 + 0.463729i
\(266\) −7.34483 21.7987i −0.0276121 0.0819499i
\(267\) 36.0515 + 45.1959i 0.135024 + 0.169273i
\(268\) −11.1992 + 206.557i −0.0417880 + 0.770734i
\(269\) −279.276 294.828i −1.03820 1.09601i −0.995291 0.0969349i \(-0.969096\pi\)
−0.0429088 0.999079i \(-0.513662\pi\)
\(270\) −16.6378 46.9103i −0.0616216 0.173742i
\(271\) 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
\(273\) −95.1087 313.941i −0.348384 1.14997i
\(274\) 46.4222 + 5.04872i 0.169424 + 0.0184260i
\(275\) 457.109 + 759.721i 1.66222 + 2.76262i
\(276\) −33.5180 16.7802i −0.121442 0.0607978i
\(277\) −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
\(279\) −325.152 + 169.275i −1.16542 + 0.606720i
\(280\) 55.9964 42.5673i 0.199987 0.152026i
\(281\) −49.9715 459.481i −0.177835 1.63516i −0.654489 0.756072i \(-0.727116\pi\)
0.476654 0.879091i \(-0.341850\pi\)
\(282\) −3.24437 7.62063i −0.0115048 0.0270235i
\(283\) 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
\(285\) 513.904 96.6140i 1.80317 0.338997i
\(286\) 50.6550 + 95.5454i 0.177115 + 0.334075i
\(287\) −56.2570 + 38.1432i −0.196017 + 0.132903i
\(288\) −76.5537 + 57.2943i −0.265811 + 0.198939i
\(289\) 20.9757 + 24.6945i 0.0725802 + 0.0854480i
\(290\) 1.09466 + 0.436152i 0.00377468 + 0.00150397i
\(291\) 431.089 105.493i 1.48141 0.362519i
\(292\) −200.115 120.405i −0.685324 0.412346i
\(293\) −32.5154 + 96.5023i −0.110974 + 0.329359i −0.988722 0.149764i \(-0.952149\pi\)
0.877748 + 0.479123i \(0.159045\pi\)
\(294\) −13.6250 11.0364i −0.0463435 0.0375387i
\(295\) 469.402 + 114.271i 1.59119 + 0.387361i
\(296\) 50.5499i 0.170777i
\(297\) 407.073 398.021i 1.37062 1.34014i
\(298\) 12.3741 + 7.44522i 0.0415237 + 0.0249840i
\(299\) −43.6157 + 57.3754i −0.145872 + 0.191891i
\(300\) 243.562 + 434.591i 0.811873 + 1.44864i
\(301\) −35.7972 42.1437i −0.118927 0.140012i
\(302\) −15.9619 34.5010i −0.0528539 0.114242i
\(303\) −19.0546 + 223.642i −0.0628865 + 0.738094i
\(304\) −153.495 289.523i −0.504918 0.952377i
\(305\) −93.8781 79.7408i −0.307797 0.261445i
\(306\) −32.3954 2.00007i −0.105867 0.00653618i
\(307\) −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
\(309\) −233.827 + 362.815i −0.756721 + 1.17416i
\(310\) −59.7750 + 45.4398i −0.192823 + 0.146580i
\(311\) −3.90249 + 1.08352i −0.0125482 + 0.00348399i −0.273797 0.961788i \(-0.588280\pi\)
0.261249 + 0.965272i \(0.415866\pi\)
\(312\) 53.9316 + 109.775i 0.172858 + 0.351842i
\(313\) 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
\(315\) −258.621 + 241.327i −0.821019 + 0.766117i
\(316\) 186.440 + 20.2766i 0.590000 + 0.0641664i
\(317\) −120.017 81.3738i −0.378604 0.256700i 0.357011 0.934100i \(-0.383796\pi\)
−0.735614 + 0.677401i \(0.763106\pi\)
\(318\) 21.1102 + 23.7088i 0.0663844 + 0.0745559i
\(319\) 0.729701 + 13.4585i 0.00228746 + 0.0421898i
\(320\) 333.279 351.839i 1.04150 1.09950i
\(321\) −159.679 + 12.4000i −0.497443 + 0.0386293i
\(322\) 0.185089 3.41377i 0.000574812 0.0106018i
\(323\) 73.3019 333.014i 0.226941 1.03100i
\(324\) 235.514 216.485i 0.726894 0.668164i
\(325\) 907.741 305.853i 2.79305 0.941087i
\(326\) 4.55941 20.7136i 0.0139859 0.0635387i
\(327\) −61.3096 55.4194i −0.187491 0.169478i
\(328\) 18.3984 17.4279i 0.0560927 0.0531339i
\(329\) −40.4792 + 42.7334i −0.123037 + 0.129889i
\(330\) 68.3865 94.4570i 0.207232 0.286233i
\(331\) 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
\(333\) 25.5899 + 252.919i 0.0768467 + 0.759517i
\(334\) 15.1938 9.14179i 0.0454903 0.0273706i
\(335\) −92.1994 418.866i −0.275222 1.25035i
\(336\) 192.558 + 109.822i 0.573089 + 0.326851i
\(337\) −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
\(339\) 92.8557 + 2.86370i 0.273910 + 0.00844748i
\(340\) 514.980 56.0075i 1.51465 0.164728i
\(341\) −758.804 402.292i −2.22523 1.17974i
\(342\) −23.9364 35.8796i −0.0699894 0.104911i
\(343\) −96.2581 + 346.690i −0.280636 + 1.01076i
\(344\) 15.7134 + 13.3471i 0.0456784 + 0.0387996i
\(345\) 76.2691 + 14.9313i 0.221070 + 0.0432792i
\(346\) 13.4737 + 19.8722i 0.0389412 + 0.0574340i
\(347\) 170.650 + 368.855i 0.491788 + 1.06298i 0.981564 + 0.191134i \(0.0612165\pi\)
−0.489776 + 0.871848i \(0.662921\pi\)
\(348\) 0.176705 + 7.57119i 0.000507773 + 0.0217563i
\(349\) 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
\(351\) −325.410 521.940i −0.927095 1.48701i
\(352\) −212.300 71.5321i −0.603124 0.203216i
\(353\) 467.922i 1.32556i 0.748815 + 0.662779i \(0.230623\pi\)
−0.748815 + 0.662779i \(0.769377\pi\)
\(354\) −6.49400 39.3159i −0.0183446 0.111062i
\(355\) 283.910 0.799746
\(356\) −24.3013 + 72.1237i −0.0682621 + 0.202595i
\(357\) 78.7319 + 216.812i 0.220538 + 0.607317i
\(358\) −23.4055 17.7924i −0.0653785 0.0496994i
\(359\) −465.018 185.280i −1.29531 0.516100i −0.382304 0.924037i \(-0.624869\pi\)
−0.913010 + 0.407936i \(0.866249\pi\)
\(360\) 80.6002 104.394i 0.223889 0.289984i
\(361\) 83.6098 38.6820i 0.231606 0.107152i
\(362\) 1.04101 0.705822i 0.00287572 0.00194978i
\(363\) 952.780 + 186.527i 2.62474 + 0.513850i
\(364\) 279.563 329.127i 0.768030 0.904195i
\(365\) 466.570 + 129.543i 1.27828 + 0.354911i
\(366\) −3.01850 + 9.70099i −0.00824726 + 0.0265055i
\(367\) −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
\(369\) −83.2313 + 96.5119i −0.225559 + 0.261550i
\(370\) 13.9301 + 50.1718i 0.0376490 + 0.135599i
\(371\) 94.7288 204.753i 0.255334 0.551895i
\(372\) −419.190 239.078i −1.12686 0.642681i
\(373\) 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
\(375\) −295.021 297.240i −0.786722 0.792641i
\(376\) 12.3162 18.1651i 0.0327559 0.0483114i
\(377\) 14.3695 + 2.35576i 0.0381155 + 0.00624871i
\(378\) 26.6707 + 11.8300i 0.0705575 + 0.0312964i
\(379\) −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
\(381\) 61.6384 + 55.7166i 0.161781 + 0.146238i
\(382\) 53.6299 + 11.8048i 0.140392 + 0.0309027i
\(383\) 41.4497 + 123.018i 0.108224 + 0.321197i 0.988058 0.154084i \(-0.0492428\pi\)
−0.879834 + 0.475281i \(0.842346\pi\)
\(384\) −156.977 58.3390i −0.408793 0.151924i
\(385\) −809.372 178.156i −2.10227 0.462744i
\(386\) 44.9596 + 2.43764i 0.116476 + 0.00631512i
\(387\) −85.3763 58.8255i −0.220611 0.152004i
\(388\) 424.161 + 401.787i 1.09320 + 1.03553i
\(389\) −452.549 + 24.5365i −1.16337 + 0.0630758i −0.625687 0.780074i \(-0.715181\pi\)
−0.537678 + 0.843150i \(0.680699\pi\)
\(390\) −83.7789 94.0915i −0.214818 0.241260i
\(391\) 28.4404 41.9464i 0.0727376 0.107280i
\(392\) 5.02333 46.1888i 0.0128146 0.117829i
\(393\) 136.868 + 19.1707i 0.348266 + 0.0487804i
\(394\) −73.8769 + 16.2615i −0.187505 + 0.0412730i
\(395\) −383.712 + 62.9065i −0.971424 + 0.159257i
\(396\) 730.729 + 166.598i 1.84528 + 0.420702i
\(397\) 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
\(399\) −166.050 + 257.650i −0.416165 + 0.645739i
\(400\) −303.205 + 571.905i −0.758012 + 1.42976i
\(401\) 318.379 126.854i 0.793964 0.316344i 0.0623420 0.998055i \(-0.480143\pi\)
0.731622 + 0.681711i \(0.238764\pi\)
\(402\) −28.8096 + 20.5307i −0.0716657 + 0.0510713i
\(403\) −600.685 + 707.182i −1.49053 + 1.75479i
\(404\) −261.058 + 138.404i −0.646184 + 0.342585i
\(405\) −350.424 + 563.124i −0.865244 + 1.39043i
\(406\) −0.626894 + 0.290032i −0.00154407 + 0.000714365i
\(407\) −453.935 + 385.576i −1.11532 + 0.947362i
\(408\) −42.0470 75.0249i −0.103056 0.183885i
\(409\) −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
\(411\) −333.153 525.544i −0.810592 1.27870i
\(412\) −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
\(417\) −19.5916 + 4.79431i −0.0469821 + 0.0114971i
\(418\) 37.4031 93.8747i 0.0894811 0.224581i
\(419\) −321.424 + 273.020i −0.767122 + 0.651600i −0.942993 0.332814i \(-0.892002\pi\)
0.175870 + 0.984413i \(0.443726\pi\)
\(420\) −451.472 114.074i −1.07493 0.271606i
\(421\) −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
\(423\) −52.4268 + 97.1213i −0.123940 + 0.229601i
\(424\) −22.5037 + 81.0511i −0.0530748 + 0.191158i
\(425\) −625.724 + 249.311i −1.47229 + 0.586615i
\(426\) −9.17307 21.5465i −0.0215330 0.0505785i
\(427\) 71.7797 7.80651i 0.168102 0.0182822i
\(428\) −127.595 167.849i −0.298120 0.392170i
\(429\) 574.400 1321.62i 1.33893 3.08071i
\(430\) −19.2739 8.91705i −0.0448230 0.0207373i
\(431\) 280.961 46.0612i 0.651881 0.106871i 0.173238 0.984880i \(-0.444577\pi\)
0.478643 + 0.878009i \(0.341129\pi\)
\(432\) 402.208 + 104.840i 0.931037 + 0.242686i
\(433\) 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
\(435\) −4.55261 15.0275i −0.0104658 0.0345461i
\(436\) 17.6014 107.364i 0.0403701 0.246247i
\(437\) 67.2467 3.64601i 0.153883 0.00834328i
\(438\) −5.24356 39.5944i −0.0119716 0.0903982i
\(439\) 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
\(441\) −1.75133 + 233.642i −0.00397127 + 0.529800i
\(442\) −77.8536 + 26.2319i −0.176139 + 0.0593483i
\(443\) −163.776 486.069i −0.369697 1.09722i −0.957554 0.288255i \(-0.906925\pi\)
0.587857 0.808965i \(-0.299972\pi\)
\(444\) −261.617 + 208.684i −0.589227 + 0.470009i
\(445\) 8.54300 157.566i 0.0191978 0.354082i
\(446\) 54.9519 + 58.0120i 0.123210 + 0.130072i
\(447\) −25.2640 190.770i −0.0565190 0.426778i
\(448\) 15.3800 + 283.668i 0.0343304 + 0.633187i
\(449\) 122.750 + 20.1239i 0.273386 + 0.0448194i 0.296915 0.954904i \(-0.404042\pi\)
−0.0235294 + 0.999723i \(0.507490\pi\)
\(450\) −32.1276 + 78.9089i −0.0713947 + 0.175353i
\(451\) −296.838 32.2831i −0.658177 0.0715811i
\(452\) 63.0506 + 104.791i 0.139493 + 0.231838i
\(453\) −226.770 + 452.966i −0.500596 + 0.999926i
\(454\) −5.25680 32.0651i −0.0115789 0.0706279i
\(455\) −375.944 + 812.590i −0.826251 + 1.78591i
\(456\) 45.5549 104.816i 0.0999011 0.229860i
\(457\) 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
\(459\) 248.356 + 354.091i 0.541080 + 0.771440i
\(460\) 37.8687 + 95.0432i 0.0823232 + 0.206616i
\(461\) 793.293 + 220.257i 1.72081 + 0.477780i 0.980833 0.194853i \(-0.0624228\pi\)
0.739976 + 0.672633i \(0.234837\pi\)
\(462\) 12.6300 + 67.1810i 0.0273377 + 0.145413i
\(463\) −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
\(465\) 970.060 + 245.107i 2.08615 + 0.527112i
\(466\) −14.4611 17.0249i −0.0310324 0.0365342i
\(467\) 378.869 + 150.955i 0.811283 + 0.323245i 0.738629 0.674112i \(-0.235474\pi\)
0.0726546 + 0.997357i \(0.476853\pi\)
\(468\) 345.485 732.298i 0.738215 1.56474i
\(469\) 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
\(474\) 17.1718 + 27.0882i 0.0362274 + 0.0571481i
\(475\) −766.951 461.459i −1.61463 0.971492i
\(476\) −183.765 + 241.739i −0.386061 + 0.507854i
\(477\) 71.5636 416.919i 0.150028 0.874045i
\(478\) 62.8110 + 73.9468i 0.131404 + 0.154700i
\(479\) 201.609 + 435.771i 0.420896 + 0.909751i 0.995802 + 0.0915318i \(0.0291763\pi\)
−0.574907 + 0.818219i \(0.694962\pi\)
\(480\) 260.046 + 22.1562i 0.541762 + 0.0461587i
\(481\) 301.396 + 568.494i 0.626603 + 1.18190i
\(482\) 9.74567 + 8.27805i 0.0202192 + 0.0171744i
\(483\) −37.1001 + 26.4388i −0.0768118 + 0.0547386i
\(484\) 473.068 + 1187.31i 0.977414 + 2.45312i
\(485\) −1070.24 567.406i −2.20668 1.16991i
\(486\) 54.0587 + 8.39992i 0.111232 + 0.0172838i
\(487\) 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
\(489\) −253.665 + 124.624i −0.518743 + 0.254855i
\(490\) 7.74256 + 47.2275i 0.0158011 + 0.0963827i
\(491\) 60.2978 + 273.935i 0.122806 + 0.557913i 0.997336 + 0.0729422i \(0.0232389\pi\)
−0.874530 + 0.484971i \(0.838830\pi\)
\(492\) −166.150 23.2721i −0.337704 0.0473011i
\(493\) −10.1792 1.10706i −0.0206475 0.00224555i
\(494\) −90.3603 61.2658i −0.182916 0.124020i
\(495\) −1552.24 + 72.4954i −3.13584 + 0.146455i
\(496\) −33.9463 626.103i −0.0684401 1.26230i
\(497\) −114.450 + 120.824i −0.230282 + 0.243106i
\(498\) 0.831189 + 10.7035i 0.00166905 + 0.0214930i
\(499\) 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
\(501\) −221.486 82.3132i −0.442087 0.164298i
\(502\) −69.8032 + 23.5194i −0.139050 + 0.0468515i
\(503\) −6.50433 + 29.5495i −0.0129311 + 0.0587465i −0.982644 0.185500i \(-0.940610\pi\)
0.969713 + 0.244246i \(0.0785406\pi\)
\(504\) 11.9354 + 76.3847i 0.0236813 + 0.151557i
\(505\) 444.766 421.305i 0.880725 0.834267i
\(506\) 10.3284 10.9036i 0.0204119 0.0215486i
\(507\) −850.371 615.665i −1.67726 1.21433i
\(508\) −17.6958 + 107.939i −0.0348342 + 0.212479i
\(509\) 556.394 + 377.244i 1.09311 + 0.741148i 0.967989 0.250993i \(-0.0807571\pi\)
0.125123 + 0.992141i \(0.460067\pi\)
\(510\) 62.4072 + 62.8767i 0.122367 + 0.123288i
\(511\) −243.214 + 146.337i −0.475958 + 0.286374i
\(512\) −58.8499 267.358i −0.114941 0.522183i
\(513\) −174.866 + 547.494i −0.340870 + 1.06724i
\(514\) −5.82712 2.69591i −0.0113368 0.00524497i
\(515\) 1135.18 315.181i 2.20424 0.612003i
\(516\) 4.20734 136.424i 0.00815376 0.264387i
\(517\) −257.065 + 27.9575i −0.497225 + 0.0540764i
\(518\) −26.9672 14.2971i −0.0520602 0.0276006i
\(519\) 95.0533 305.487i 0.183147 0.588607i
\(520\) 89.3091 321.662i 0.171748 0.618581i
\(521\) −692.483 588.201i −1.32914 1.12898i −0.981522 0.191349i \(-0.938714\pi\)
−0.347620 0.937635i \(-0.613010\pi\)
\(522\) −0.993375 + 0.831043i −0.00190302 + 0.00159204i
\(523\) 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
\(525\) 605.321 14.1277i 1.15299 0.0269098i
\(526\) −32.6595 + 81.9691i −0.0620903 + 0.155835i
\(527\) 394.848 519.414i 0.749237 0.985604i
\(528\) 332.390 + 915.336i 0.629526 + 1.73359i
\(529\) −491.823 165.715i −0.929723 0.313260i
\(530\) 86.6461i 0.163483i
\(531\) −355.601 + 394.346i −0.669681 + 0.742648i
\(532\) −403.518 −0.758492
\(533\) −103.001 + 305.695i −0.193247 + 0.573537i
\(534\) −12.2340 + 4.44260i −0.0229102 + 0.00831947i
\(535\) 348.009 + 264.550i 0.650485 + 0.494486i
\(536\) −87.0821 34.6967i −0.162467 0.0647326i
\(537\) 9.14117 + 391.667i 0.0170227 + 0.729362i
\(538\) 82.9768 38.3892i 0.154232 0.0713553i
\(539\) −453.089 + 307.202i −0.840610 + 0.569948i
\(540\) −873.023 + 13.8292i −1.61671 + 0.0256096i
\(541\) −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
\(543\) −16.0030 4.97939i −0.0294715 0.00917015i
\(544\) 79.7181 150.364i 0.146541 0.276405i
\(545\) 24.3888 + 224.252i 0.0447502 + 0.411471i
\(546\) 73.8157 + 2.27650i 0.135194 + 0.00416941i
\(547\) 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
\(549\) 126.140 49.1664i 0.229763 0.0895563i
\(550\) −194.945 + 42.9106i −0.354445 + 0.0780192i
\(551\) −7.01491 11.6589i −0.0127312 0.0211595i
\(552\) 12.0558 11.9658i 0.0218403 0.0216772i
\(553\) 127.912 188.656i 0.231305 0.341150i
\(554\) 56.2641 + 9.22404i 0.101560 + 0.0166499i
\(555\) 406.899 562.018i 0.733151 1.01264i
\(556\) −19.2767 18.2599i −0.0346703 0.0328415i
\(557\) 310.975 + 328.293i 0.558304 + 0.589395i 0.942645 0.333797i \(-0.108330\pi\)
−0.384341 + 0.923191i \(0.625571\pi\)
\(558\) −12.7408 81.5391i −0.0228330 0.146127i
\(559\) −256.295 56.4149i −0.458489 0.100921i
\(560\) −193.192 573.373i −0.344986 1.02388i
\(561\) −353.000 + 949.842i −0.629234 + 1.69312i
\(562\) 101.622 + 22.3686i 0.180821 + 0.0398018i
\(563\) 283.512 + 15.3716i 0.503574 + 0.0273030i 0.304176 0.952616i \(-0.401619\pi\)
0.199397 + 0.979919i \(0.436102\pi\)
\(564\) −144.857 + 11.2490i −0.256838 + 0.0199450i
\(565\) −184.086 174.376i −0.325817 0.308630i
\(566\) −56.1971 + 3.04692i −0.0992882 + 0.00538325i
\(567\) −98.3854 376.138i −0.173519 0.663382i
\(568\) 34.8227 51.3597i 0.0613076 0.0904220i
\(569\) −8.51787 + 78.3206i −0.0149699 + 0.137646i −0.999238 0.0390366i \(-0.987571\pi\)
0.984268 + 0.176683i \(0.0565366\pi\)
\(570\) −16.3298 + 116.586i −0.0286487 + 0.204536i
\(571\) 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
\(573\) −322.666 656.768i −0.563117 1.14619i
\(574\) −4.09373 14.7443i −0.00713193 0.0256869i
\(575\) −80.5064 105.904i −0.140011 0.184182i
\(576\) 166.294 + 506.047i 0.288704 + 0.878553i
\(577\) −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
\(579\) −348.200 488.611i −0.601382 0.843887i
\(580\) 13.3819 15.7544i 0.0230723 0.0271628i
\(581\) 67.4086 35.7378i 0.116022 0.0615108i
\(582\) −8.48225 + 99.5555i −0.0145743 + 0.171058i
\(583\) 899.484 416.146i 1.54285 0.713800i
\(584\) 80.6613 68.5143i 0.138119 0.117319i
\(585\) −284.010 + 1654.60i −0.485487 + 2.82838i
\(586\) −18.2512 13.8742i −0.0311454 0.0236761i
\(587\) 473.499 786.962i 0.806642 1.34065i −0.130410 0.991460i \(-0.541629\pi\)
0.937052 0.349190i \(-0.113543\pi\)
\(588\) −259.784 + 164.682i −0.441809 + 0.280072i
\(589\) 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 −0.725081 0.688663i \(-0.758198\pi\)
0.948077 + 0.318042i \(0.103025\pi\)
\(594\) 55.6544 + 115.460i 0.0936944 + 0.194378i
\(595\) 233.034 584.870i 0.391653 0.982975i
\(596\) 193.078 164.002i 0.323957 0.275171i
\(597\) 134.008 530.364i 0.224469 0.888382i
\(598\) −9.10561 13.4298i −0.0152268 0.0224578i
\(599\) −754.242 + 399.874i −1.25917 + 0.667569i −0.958209 0.286068i \(-0.907652\pi\)
−0.300959 + 0.953637i \(0.597307\pi\)
\(600\) −221.870 + 41.7116i −0.369783 + 0.0695193i
\(601\) 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
\(603\) 453.267 + 129.516i 0.751687 + 0.214786i
\(604\) −662.946 + 72.0997i −1.09759 + 0.119370i
\(605\) −1603.66 2109.58i −2.65068 3.48691i
\(606\) −46.3440 20.1419i −0.0764752 0.0332374i
\(607\) 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
\(609\) 8.23054 + 4.12048i 0.0135148 + 0.00676597i
\(610\) 23.7610 14.2965i 0.0389525 0.0234369i
\(611\) −30.2040 + 277.722i −0.0494338 + 0.454536i
\(612\) −214.703 + 527.334i −0.350822 + 0.861657i
\(613\) 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
\(615\) 344.840 45.6678i 0.560715 0.0742565i
\(616\) −131.502 + 124.565i −0.213477 + 0.202216i
\(617\) 554.868 + 30.0841i 0.899300 + 0.0487586i 0.497989 0.867183i \(-0.334072\pi\)
0.401311 + 0.915942i \(0.368555\pi\)
\(618\) −60.5972 75.9676i −0.0980537 0.122925i
\(619\) 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
\(621\) −54.2622 + 65.9722i −0.0873787 + 0.106235i
\(622\) 0.0493648 0.910479i 7.93646e−5 0.00146379i
\(623\) 63.6118 + 67.1542i 0.102106 + 0.107792i
\(624\) 1042.96 138.122i 1.67142 0.221349i
\(625\) 4.97334 + 91.7279i 0.00795735 + 0.146765i
\(626\) −63.7733 10.4551i −0.101874 0.0167014i
\(627\) −1288.72 + 390.418i −2.05537 + 0.622677i
\(628\) 991.583 + 107.841i 1.57895 + 0.171721i
\(629\) −233.267 387.692i −0.370853 0.616363i
\(630\) −32.8956 72.5242i −0.0522152 0.115118i
\(631\) −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
\(633\) 414.994 + 180.364i 0.655599 + 0.284935i
\(634\) 25.9885 19.7559i 0.0409912 0.0311607i
\(635\) −24.5197 225.455i −0.0386136 0.355046i
\(636\) 512.374 218.135i 0.805620 0.342980i
\(637\) 218.900 + 549.398i 0.343643 + 0.862478i
\(638\) −2.92381 0.811792i −0.00458277 0.00127240i
\(639\) −148.231 + 274.599i −0.231973 + 0.429733i
\(640\) 214.105 + 403.844i 0.334539 + 0.631007i
\(641\) 202.709 137.440i 0.316239 0.214416i −0.392732 0.919653i \(-0.628470\pi\)
0.708971 + 0.705237i \(0.249160\pi\)
\(642\) 8.83308 34.9587i 0.0137587 0.0544527i
\(643\) 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
\(645\) 67.2661 + 274.878i 0.104288 + 0.426167i
\(646\) 65.7786 + 39.5777i 0.101824 + 0.0612657i
\(647\) 38.6526 114.717i 0.0597413 0.177306i −0.913627 0.406554i \(-0.866730\pi\)
0.973368 + 0.229248i \(0.0736268\pi\)
\(648\) 58.8889 + 132.462i 0.0908779 + 0.204416i
\(649\) −1233.51 161.848i −1.90062 0.249381i
\(650\) 215.651i 0.331771i
\(651\) −495.363 + 314.021i −0.760926 + 0.482367i
\(652\) −318.802 191.817i −0.488959 0.294197i
\(653\) −5.43581 + 7.15068i −0.00832436 + 0.0109505i −0.800236 0.599685i \(-0.795293\pi\)
0.791912 + 0.610635i \(0.209086\pi\)
\(654\) 16.2309 9.09644i 0.0248179 0.0139089i
\(655\) −244.208 287.503i −0.372836 0.438936i
\(656\) −91.5320 197.843i −0.139531 0.301590i
\(657\) −368.893 + 383.635i −0.561481 + 0.583919i
\(658\) −6.20723 11.7081i −0.00943348 0.0177934i
\(659\) 436.633 + 370.879i 0.662568 + 0.562791i 0.914316 0.405002i \(-0.132729\pi\)
−0.251747 + 0.967793i \(0.581005\pi\)
\(660\) −1187.19 1665.92i −1.79877 2.52412i
\(661\) 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
\(663\) 920.193 + 593.045i 1.38792 + 0.894487i
\(664\) −22.6466 + 17.2155i −0.0341064 + 0.0259270i
\(665\) 806.139 223.823i 1.21224 0.336576i
\(666\) −55.7994 12.7216i −0.0837829 0.0191015i
\(667\) −0.327167 1.99563i −0.000490506 0.00299195i
\(668\) −66.8680 303.784i −0.100102 0.454767i
\(669\) 147.700 1054.50i 0.220778 1.57623i
\(670\) 95.9921 + 10.4398i 0.143272 + 0.0155817i
\(671\) 262.534 + 178.002i 0.391257 + 0.265279i
\(672\) −114.259 + 101.736i −0.170028 + 0.151393i
\(673\) 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
\(675\) 1088.98 321.015i 1.61330 0.475578i
\(676\) 74.8230 1380.03i 0.110685 2.04146i
\(677\) 172.335 782.927i 0.254557 1.15647i −0.659763 0.751474i \(-0.729343\pi\)
0.914320 0.404992i \(-0.132726\pi\)
\(678\) −7.28593 + 19.6047i −0.0107462 + 0.0289155i
\(679\) 672.910 226.730i 0.991030 0.333917i
\(680\) −50.4627 + 229.254i −0.0742098 + 0.337139i
\(681\) −290.348 + 321.207i −0.426356 + 0.471670i
\(682\) 140.375 132.971i 0.205829 0.194971i
\(683\) −298.019 + 314.615i −0.436338 + 0.460636i −0.906662 0.421857i \(-0.861378\pi\)
0.470324 + 0.882494i \(0.344137\pi\)
\(684\) −730.530 + 196.945i −1.06803 + 0.287931i
\(685\) −274.767 + 1676.00i −0.401119 + 2.44672i
\(686\) −67.0462 45.4585i −0.0977350 0.0662660i
\(687\) −639.235 + 634.462i −0.930473 + 0.923525i
\(688\) 151.958 91.4299i 0.220869 0.132892i
\(689\) −230.174 1045.69i −0.334069 1.51769i
\(690\) −8.66821 + 15.1985i −0.0125626 + 0.0220269i
\(691\) 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
\(693\) 594.891 689.813i 0.858429 0.995402i
\(694\) −90.9618 + 9.89269i −0.131069 + 0.0142546i
\(695\) 48.6389 + 25.7867i 0.0699840 + 0.0371032i
\(696\) −3.27690 1.01962i −0.00470819 0.00146497i
\(697\) 60.6841 218.564i 0.0870647 0.313579i
\(698\) 32.8642 + 27.9151i 0.0470834 + 0.0399930i
\(699\) −57.1877 + 292.114i −0.0818137 + 0.417903i
\(700\) 447.314 + 659.738i 0.639019 + 0.942483i
\(701\) 342.393 + 740.070i 0.488435 + 1.05574i 0.982492 + 0.186306i \(0.0596515\pi\)
−0.494057 + 0.869430i \(0.664486\pi\)
\(702\) 134.747 31.9058i 0.191948 0.0454499i
\(703\) 222.548 558.553i 0.316569 0.794528i
\(704\) −755.251 + 993.516i −1.07280 + 1.41124i
\(705\) 283.152 102.822i 0.401634 0.145847i
\(706\) −99.8303 33.6367i −0.141403 0.0476441i
\(707\) 359.117i 0.507945i
\(708\) −689.955 112.262i −0.974513 0.158562i
\(709\) −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
\(711\) 139.495 403.973i 0.196195 0.568176i
\(712\) −27.4562 20.8716i −0.0385620 0.0293141i
\(713\) 119.709 + 47.6964i 0.167895 + 0.0668953i
\(714\) −51.9162 + 1.21168i −0.0727118 + 0.00169703i
\(715\) −3569.73 + 1651.53i −4.99262 + 2.30983i
\(716\) −426.877 + 289.430i −0.596198 + 0.404232i
\(717\) 248.391 1268.78i 0.346432 1.76957i
\(718\) 72.9572 85.8918i 0.101612 0.119626i
\(719\) −608.473 168.942i −0.846277 0.234968i −0.182787 0.983153i \(-0.558512\pi\)
−0.663490 + 0.748185i \(0.730926\pi\)
\(720\) −629.601 943.746i −0.874446 1.31076i
\(721\) −323.484 + 610.156i −0.448661 + 0.846264i
\(722\) 2.24241 + 20.6187i 0.00310584 + 0.0285577i
\(723\) 5.25240 170.310i 0.00726474 0.235560i
\(724\) −5.90255 21.2590i −0.00815269 0.0293633i
\(725\) −11.2856 + 24.3934i −0.0155663 + 0.0336461i
\(726\) −108.286 + 189.865i −0.149155 + 0.261522i
\(727\) 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
\(729\) −361.698 632.942i −0.496157 0.868233i
\(730\) −61.1773 + 90.2297i −0.0838045 + 0.123602i
\(731\) 182.105 + 29.8546i 0.249117 + 0.0408407i
\(732\) 144.361 + 104.516i 0.197214 + 0.142782i
\(733\) −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
\(735\) 427.644 473.095i 0.581828 0.643667i
\(736\) 32.8269 + 7.22575i 0.0446018 + 0.00981760i
\(737\) 352.656 + 1046.65i 0.478502 + 1.42014i
\(738\) −14.6075 24.6950i −0.0197934 0.0334621i
\(739\) 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
\(741\) 112.632 + 1450.40i 0.151999 + 1.95735i
\(742\) 36.8741 + 34.9290i 0.0496955 + 0.0470741i
\(743\) −578.111 + 31.3443i −0.778076 + 0.0421861i −0.438899 0.898536i \(-0.644631\pi\)
−0.339177 + 0.940722i \(0.610149\pi\)
\(744\) 163.322 145.422i 0.219519 0.195459i
\(745\) −294.758 + 434.736i −0.395649 + 0.583538i
\(746\) −5.64878 + 51.9397i −0.00757209 + 0.0696242i
\(747\) 104.594 97.5998i 0.140019 0.130656i
\(748\) −1302.78 + 286.764i −1.74168 + 0.383374i
\(749\) −252.875 + 41.4567i −0.337617 + 0.0553495i
\(750\) 84.6234 41.5749i 0.112831 0.0554332i
\(751\) −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
\(753\) 825.041 + 531.722i 1.09567 + 0.706138i
\(754\) −1.53556 + 2.89637i −0.00203655 + 0.00384134i
\(755\) 1284.43 511.762i 1.70123 0.677830i
\(756\) 346.049 377.108i 0.457737 0.498820i
\(757\) 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
\(759\) −199.410 16.9899i −0.262727 0.0223846i
\(760\) −283.110 + 130.981i −0.372513 + 0.172343i
\(761\) −95.3373 + 80.9802i −0.125279 + 0.106413i −0.707836 0.706377i \(-0.750328\pi\)
0.582557 + 0.812790i \(0.302052\pi\)
\(762\) −16.3179 + 9.14524i −0.0214146 + 0.0120016i
\(763\) −105.267 80.0216i −0.137964 0.104878i
\(764\) 496.635 825.414i 0.650046 1.08038i
\(765\) 136.427 1172.59i 0.178336 1.53279i
\(766\) −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
\(771\) 20.3367 + 83.1044i 0.0263771 + 0.107788i
\(772\) 292.352 733.748i 0.378694 0.950450i
\(773\) 151.053 128.306i 0.195412 0.165984i −0.544339 0.838866i \(-0.683219\pi\)