Properties

Label 197.4.g.a.16.5
Level $197$
Weight $4$
Character 197.16
Analytic conductor $11.623$
Analytic rank $0$
Dimension $2058$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,4,Mod(16,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(98))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.16");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 197 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 197.g (of order \(49\), degree \(42\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(11.6233762711\)
Analytic rank: \(0\)
Dimension: \(2058\)
Relative dimension: \(49\) over \(\Q(\zeta_{49})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{49}]$

Embedding invariants

Embedding label 16.5
Character \(\chi\) \(=\) 197.16
Dual form 197.4.g.a.37.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-4.56883 - 0.293328i) q^{2} +(2.48580 - 3.56358i) q^{3} +(12.8538 + 1.65732i) q^{4} +(14.1644 - 9.22000i) q^{5} +(-12.4025 + 15.5522i) q^{6} +(-25.2149 + 1.61885i) q^{7} +(-22.2903 - 4.34104i) q^{8} +(2.80495 + 7.62194i) q^{9} +O(q^{10})\) \(q+(-4.56883 - 0.293328i) q^{2} +(2.48580 - 3.56358i) q^{3} +(12.8538 + 1.65732i) q^{4} +(14.1644 - 9.22000i) q^{5} +(-12.4025 + 15.5522i) q^{6} +(-25.2149 + 1.61885i) q^{7} +(-22.2903 - 4.34104i) q^{8} +(2.80495 + 7.62194i) q^{9} +(-67.4192 + 37.9698i) q^{10} +(-17.8505 + 60.1444i) q^{11} +(37.8580 - 41.6859i) q^{12} +(-1.41073 + 43.9917i) q^{13} +115.677 q^{14} +(2.35364 - 73.3951i) q^{15} +(0.276370 + 0.0724727i) q^{16} +(-76.7593 - 74.3373i) q^{17} +(-10.5796 - 35.6461i) q^{18} +(-73.1467 - 35.2256i) q^{19} +(197.347 - 95.0374i) q^{20} +(-56.9103 + 93.8795i) q^{21} +(99.1981 - 269.553i) q^{22} +(16.8572 + 104.268i) q^{23} +(-70.8789 + 68.6424i) q^{24} +(65.0239 - 146.890i) q^{25} +(19.3494 - 200.577i) q^{26} +(147.610 + 38.7079i) q^{27} +(-326.791 - 20.9807i) q^{28} +(-185.671 + 204.444i) q^{29} +(-32.2822 + 334.639i) q^{30} +(-80.3690 + 32.5378i) q^{31} +(171.176 + 56.8344i) q^{32} +(169.957 + 213.119i) q^{33} +(328.895 + 362.150i) q^{34} +(-342.228 + 255.412i) q^{35} +(23.4223 + 102.620i) q^{36} +(61.5665 - 16.1446i) q^{37} +(323.862 + 182.396i) q^{38} +(153.261 + 114.382i) q^{39} +(-355.753 + 144.029i) q^{40} +(-312.773 - 302.904i) q^{41} +(287.551 - 412.226i) q^{42} +(-55.4417 + 186.801i) q^{43} +(-329.126 + 743.502i) q^{44} +(110.005 + 82.0987i) q^{45} +(-46.4331 - 481.327i) q^{46} +(-6.68321 - 12.8105i) q^{47} +(0.945263 - 0.804714i) q^{48} +(292.986 - 37.7764i) q^{49} +(-340.170 + 652.042i) q^{50} +(-455.715 + 88.7506i) q^{51} +(-91.0415 + 563.124i) q^{52} +(-12.9059 - 133.783i) q^{53} +(-663.051 - 220.148i) q^{54} +(301.689 + 1016.49i) q^{55} +(569.076 + 73.3742i) q^{56} +(-307.357 + 173.100i) q^{57} +(908.267 - 879.608i) q^{58} +(-442.595 - 249.265i) q^{59} +(151.892 - 939.507i) q^{60} +(52.2525 + 74.9078i) q^{61} +(376.737 - 125.085i) q^{62} +(-83.0652 - 187.646i) q^{63} +(-767.522 - 310.735i) q^{64} +(385.622 + 636.123i) q^{65} +(-713.989 - 1023.56i) q^{66} +(238.639 + 457.425i) q^{67} +(-863.451 - 1082.73i) q^{68} +(413.471 + 199.117i) q^{69} +(1638.50 - 1066.55i) q^{70} +(221.690 + 602.405i) q^{71} +(-29.4360 - 182.072i) q^{72} +(1176.90 - 308.621i) q^{73} +(-286.022 + 55.7028i) q^{74} +(-361.819 - 596.858i) q^{75} +(-881.835 - 574.011i) q^{76} +(352.735 - 1545.43i) q^{77} +(-666.673 - 567.547i) q^{78} +(707.599 + 460.596i) q^{79} +(4.58281 - 1.52160i) q^{80} +(337.894 - 287.653i) q^{81} +(1340.16 + 1475.66i) q^{82} +(-809.071 + 389.628i) q^{83} +(-887.103 + 1112.39i) q^{84} +(-1772.64 - 345.222i) q^{85} +(308.098 - 837.201i) q^{86} +(267.013 + 1169.86i) q^{87} +(658.984 - 1263.15i) q^{88} +(319.423 + 129.320i) q^{89} +(-478.511 - 407.362i) q^{90} +(-35.6446 - 1111.53i) q^{91} +(43.8749 + 1368.18i) q^{92} +(-83.8302 + 367.284i) q^{93} +(26.7768 + 60.4892i) q^{94} +(-1360.86 + 175.463i) q^{95} +(628.044 - 468.721i) q^{96} +(213.573 - 352.312i) q^{97} +(-1349.69 + 86.6527i) q^{98} +(-508.487 + 32.6460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 2058 q - 42 q^{2} - 42 q^{3} - 84 q^{4} - 42 q^{5} - 119 q^{6} - 84 q^{7} - 98 q^{8} - 42 q^{9} + 168 q^{10} - 140 q^{11} + 14 q^{12} - 42 q^{13} - 812 q^{14} + 1638 q^{15} + 672 q^{16} - 42 q^{17} + 147 q^{18} - 567 q^{19} - 35 q^{20} - 42 q^{21} + 1302 q^{22} - 42 q^{23} - 434 q^{24} - 42 q^{25} + 364 q^{26} - 1596 q^{27} - 147 q^{28} + 4676 q^{29} - 847 q^{30} + 882 q^{31} + 910 q^{32} - 287 q^{33} - 882 q^{34} - 42 q^{35} - 17787 q^{36} - 1400 q^{37} + 14 q^{38} + 168 q^{39} + 3962 q^{40} - 392 q^{41} + 1764 q^{42} + 294 q^{43} - 12978 q^{44} + 2814 q^{45} + 840 q^{46} + 28 q^{47} + 3654 q^{48} + 1554 q^{49} - 4998 q^{50} - 98 q^{51} - 3703 q^{52} - 42 q^{53} - 1365 q^{54} + 4046 q^{55} - 3073 q^{56} + 14567 q^{57} - 10402 q^{58} + 4004 q^{59} - 4536 q^{60} - 1050 q^{61} + 210 q^{62} + 2254 q^{63} + 3822 q^{64} - 1106 q^{65} - 875 q^{66} - 3612 q^{67} + 819 q^{68} + 4333 q^{69} - 5292 q^{70} + 11424 q^{71} - 1876 q^{72} - 714 q^{73} + 1288 q^{74} - 1316 q^{75} + 8715 q^{76} + 6629 q^{77} + 13986 q^{78} - 1512 q^{79} + 406 q^{80} + 1078 q^{81} - 42 q^{82} - 5999 q^{83} - 7595 q^{84} + 30492 q^{85} + 7749 q^{86} - 35 q^{87} + 8897 q^{88} - 196 q^{89} - 14910 q^{90} - 8232 q^{91} - 7938 q^{92} - 2639 q^{93} - 11116 q^{94} + 3703 q^{95} + 14497 q^{96} - 2674 q^{97} - 10024 q^{98} + 6237 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{49}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.56883 0.293328i −1.61532 0.103707i −0.770030 0.638008i \(-0.779759\pi\)
−0.845295 + 0.534300i \(0.820575\pi\)
\(3\) 2.48580 3.56358i 0.478392 0.685812i −0.505853 0.862620i \(-0.668822\pi\)
0.984245 + 0.176808i \(0.0565772\pi\)
\(4\) 12.8538 + 1.65732i 1.60673 + 0.207165i
\(5\) 14.1644 9.22000i 1.26690 0.824662i 0.276252 0.961085i \(-0.410908\pi\)
0.990651 + 0.136423i \(0.0435606\pi\)
\(6\) −12.4025 + 15.5522i −0.843883 + 1.05820i
\(7\) −25.2149 + 1.61885i −1.36148 + 0.0874097i −0.727588 0.686015i \(-0.759359\pi\)
−0.633889 + 0.773424i \(0.718542\pi\)
\(8\) −22.2903 4.34104i −0.985102 0.191849i
\(9\) 2.80495 + 7.62194i 0.103887 + 0.282294i
\(10\) −67.4192 + 37.9698i −2.13198 + 1.20071i
\(11\) −17.8505 + 60.1444i −0.489286 + 1.64857i 0.244849 + 0.969561i \(0.421262\pi\)
−0.734134 + 0.679004i \(0.762412\pi\)
\(12\) 37.8580 41.6859i 0.910723 1.00281i
\(13\) −1.41073 + 43.9917i −0.0300974 + 0.938546i 0.867423 + 0.497572i \(0.165775\pi\)
−0.897520 + 0.440974i \(0.854633\pi\)
\(14\) 115.677 2.20829
\(15\) 2.35364 73.3951i 0.0405138 1.26337i
\(16\) 0.276370 + 0.0724727i 0.00431828 + 0.00113239i
\(17\) −76.7593 74.3373i −1.09511 1.06056i −0.997866 0.0652947i \(-0.979201\pi\)
−0.0972444 0.995261i \(-0.531003\pi\)
\(18\) −10.5796 35.6461i −0.138535 0.466771i
\(19\) −73.1467 35.2256i −0.883210 0.425332i −0.0634144 0.997987i \(-0.520199\pi\)
−0.819796 + 0.572656i \(0.805913\pi\)
\(20\) 197.347 95.0374i 2.20641 1.06255i
\(21\) −56.9103 + 93.8795i −0.591374 + 0.975533i
\(22\) 99.1981 269.553i 0.961323 2.61223i
\(23\) 16.8572 + 104.268i 0.152825 + 0.945278i 0.943096 + 0.332520i \(0.107899\pi\)
−0.790271 + 0.612757i \(0.790060\pi\)
\(24\) −70.8789 + 68.6424i −0.602838 + 0.583816i
\(25\) 65.0239 146.890i 0.520191 1.17512i
\(26\) 19.3494 200.577i 0.145951 1.51294i
\(27\) 147.610 + 38.7079i 1.05213 + 0.275901i
\(28\) −326.791 20.9807i −2.20563 0.141606i
\(29\) −185.671 + 204.444i −1.18890 + 1.30911i −0.248669 + 0.968589i \(0.579993\pi\)
−0.940235 + 0.340526i \(0.889395\pi\)
\(30\) −32.2822 + 334.639i −0.196463 + 2.03655i
\(31\) −80.3690 + 32.5378i −0.465636 + 0.188515i −0.596054 0.802944i \(-0.703266\pi\)
0.130419 + 0.991459i \(0.458368\pi\)
\(32\) 171.176 + 56.8344i 0.945623 + 0.313969i
\(33\) 169.957 + 213.119i 0.896535 + 1.12422i
\(34\) 328.895 + 362.150i 1.65897 + 1.82671i
\(35\) −342.228 + 255.412i −1.65277 + 1.23350i
\(36\) 23.4223 + 102.620i 0.108437 + 0.475092i
\(37\) 61.5665 16.1446i 0.273553 0.0717341i −0.114329 0.993443i \(-0.536472\pi\)
0.387883 + 0.921709i \(0.373207\pi\)
\(38\) 323.862 + 182.396i 1.38256 + 0.778644i
\(39\) 153.261 + 114.382i 0.629268 + 0.469635i
\(40\) −355.753 + 144.029i −1.40624 + 0.569323i
\(41\) −312.773 302.904i −1.19139 1.15380i −0.984491 0.175434i \(-0.943867\pi\)
−0.206898 0.978362i \(-0.566337\pi\)
\(42\) 287.551 412.226i 1.05643 1.51447i
\(43\) −55.4417 + 186.801i −0.196623 + 0.662487i 0.801312 + 0.598247i \(0.204136\pi\)
−0.997934 + 0.0642401i \(0.979538\pi\)
\(44\) −329.126 + 743.502i −1.12767 + 2.54743i
\(45\) 110.005 + 82.0987i 0.364412 + 0.271968i
\(46\) −46.4331 481.327i −0.148830 1.54278i
\(47\) −6.68321 12.8105i −0.0207414 0.0397574i 0.876006 0.482301i \(-0.160199\pi\)
−0.896747 + 0.442543i \(0.854076\pi\)
\(48\) 0.945263 0.804714i 0.00284244 0.00241980i
\(49\) 292.986 37.7764i 0.854188 0.110135i
\(50\) −340.170 + 652.042i −0.962146 + 1.84425i
\(51\) −455.715 + 88.7506i −1.25123 + 0.243678i
\(52\) −91.0415 + 563.124i −0.242792 + 1.50175i
\(53\) −12.9059 133.783i −0.0334483 0.346727i −0.996890 0.0788080i \(-0.974889\pi\)
0.963442 0.267919i \(-0.0863359\pi\)
\(54\) −663.051 220.148i −1.67092 0.554784i
\(55\) 301.689 + 1016.49i 0.739633 + 2.49207i
\(56\) 569.076 + 73.3742i 1.35796 + 0.175090i
\(57\) −307.357 + 173.100i −0.714219 + 0.402240i
\(58\) 908.267 879.608i 2.05623 1.99135i
\(59\) −442.595 249.265i −0.976626 0.550025i −0.0818995 0.996641i \(-0.526099\pi\)
−0.894726 + 0.446615i \(0.852629\pi\)
\(60\) 151.892 939.507i 0.326820 2.02150i
\(61\) 52.2525 + 74.9078i 0.109676 + 0.157229i 0.871234 0.490868i \(-0.163320\pi\)
−0.761558 + 0.648097i \(0.775565\pi\)
\(62\) 376.737 125.085i 0.771703 0.256223i
\(63\) −83.0652 187.646i −0.166115 0.375256i
\(64\) −767.522 310.735i −1.49907 0.606905i
\(65\) 385.622 + 636.123i 0.735853 + 1.21387i
\(66\) −713.989 1023.56i −1.33161 1.90896i
\(67\) 238.639 + 457.425i 0.435139 + 0.834081i 0.999961 + 0.00886742i \(0.00282262\pi\)
−0.564821 + 0.825213i \(0.691055\pi\)
\(68\) −863.451 1082.73i −1.53984 1.93089i
\(69\) 413.471 + 199.117i 0.721393 + 0.347404i
\(70\) 1638.50 1066.55i 2.79769 1.82109i
\(71\) 221.690 + 602.405i 0.370561 + 1.00693i 0.977268 + 0.212008i \(0.0680003\pi\)
−0.606707 + 0.794925i \(0.707510\pi\)
\(72\) −29.4360 182.072i −0.0481814 0.298019i
\(73\) 1176.90 308.621i 1.88693 0.494812i 0.887513 0.460782i \(-0.152431\pi\)
0.999421 0.0340302i \(-0.0108342\pi\)
\(74\) −286.022 + 55.7028i −0.449316 + 0.0875044i
\(75\) −361.819 596.858i −0.557056 0.918922i
\(76\) −881.835 574.011i −1.33097 0.866363i
\(77\) 352.735 1545.43i 0.522050 2.28725i
\(78\) −666.673 567.547i −0.967767 0.823872i
\(79\) 707.599 + 460.596i 1.00773 + 0.655963i 0.939799 0.341727i \(-0.111012\pi\)
0.0679356 + 0.997690i \(0.478359\pi\)
\(80\) 4.58281 1.52160i 0.00640468 0.00212650i
\(81\) 337.894 287.653i 0.463503 0.394586i
\(82\) 1340.16 + 1475.66i 1.80482 + 1.98731i
\(83\) −809.071 + 389.628i −1.06996 + 0.515268i −0.884095 0.467307i \(-0.845224\pi\)
−0.185869 + 0.982574i \(0.559510\pi\)
\(84\) −887.103 + 1112.39i −1.15227 + 1.44490i
\(85\) −1772.64 345.222i −2.26200 0.440524i
\(86\) 308.098 837.201i 0.386314 1.04974i
\(87\) 267.013 + 1169.86i 0.329044 + 1.44163i
\(88\) 658.984 1263.15i 0.798271 1.53014i
\(89\) 319.423 + 129.320i 0.380435 + 0.154021i 0.557498 0.830178i \(-0.311762\pi\)
−0.177063 + 0.984200i \(0.556660\pi\)
\(90\) −478.511 407.362i −0.560439 0.477108i
\(91\) −35.6446 1111.53i −0.0410612 1.28044i
\(92\) 43.8749 + 1368.18i 0.0497204 + 1.55046i
\(93\) −83.8302 + 367.284i −0.0934708 + 0.409523i
\(94\) 26.7768 + 60.4892i 0.0293810 + 0.0663722i
\(95\) −1360.86 + 175.463i −1.46970 + 0.189496i
\(96\) 628.044 468.721i 0.667702 0.498319i
\(97\) 213.573 352.312i 0.223558 0.368782i −0.723248 0.690589i \(-0.757351\pi\)
0.946805 + 0.321807i \(0.104290\pi\)
\(98\) −1349.69 + 86.6527i −1.39121 + 0.0893188i
\(99\) −508.487 + 32.6460i −0.516211 + 0.0331418i
\(100\) 1079.25 1780.34i 1.07925 1.78034i
\(101\) −858.000 + 640.342i −0.845289 + 0.630855i −0.930819 0.365480i \(-0.880905\pi\)
0.0855303 + 0.996336i \(0.472742\pi\)
\(102\) 2108.12 271.812i 2.04642 0.263857i
\(103\) −598.791 1352.68i −0.572821 1.29401i −0.932578 0.360968i \(-0.882446\pi\)
0.359757 0.933046i \(-0.382860\pi\)
\(104\) 222.415 974.465i 0.209708 0.918790i
\(105\) 59.4689 + 1854.46i 0.0552721 + 1.72359i
\(106\) 19.7224 + 615.017i 0.0180718 + 0.563545i
\(107\) 322.163 + 274.261i 0.291072 + 0.247793i 0.781814 0.623512i \(-0.214295\pi\)
−0.490742 + 0.871305i \(0.663274\pi\)
\(108\) 1833.20 + 742.181i 1.63333 + 0.661263i
\(109\) 1040.38 1994.21i 0.914223 1.75239i 0.321695 0.946843i \(-0.395747\pi\)
0.592527 0.805550i \(-0.298130\pi\)
\(110\) −1080.20 4732.67i −0.936301 4.10220i
\(111\) 95.5092 259.529i 0.0816697 0.221923i
\(112\) −7.08596 1.37999i −0.00597822 0.00116426i
\(113\) 122.588 153.721i 0.102054 0.127972i −0.728182 0.685384i \(-0.759634\pi\)
0.830236 + 0.557412i \(0.188206\pi\)
\(114\) 1455.04 700.709i 1.19541 0.575679i
\(115\) 1200.12 + 1321.47i 0.973149 + 1.07155i
\(116\) −2725.41 + 2320.17i −2.18145 + 1.85709i
\(117\) −339.259 + 112.642i −0.268073 + 0.0890063i
\(118\) 1949.02 + 1268.67i 1.52053 + 0.989753i
\(119\) 2055.82 + 1750.15i 1.58367 + 1.34820i
\(120\) −371.074 + 1625.78i −0.282286 + 1.23677i
\(121\) −2183.21 1421.11i −1.64028 1.06770i
\(122\) −216.760 357.568i −0.160857 0.265350i
\(123\) −1856.91 + 361.634i −1.36124 + 0.265101i
\(124\) −1086.98 + 285.038i −0.787204 + 0.206429i
\(125\) −96.1311 594.605i −0.0687858 0.425465i
\(126\) 324.469 + 881.686i 0.229413 + 0.623388i
\(127\) 588.408 383.011i 0.411124 0.267612i −0.323308 0.946294i \(-0.604795\pi\)
0.734433 + 0.678681i \(0.237448\pi\)
\(128\) 2115.50 + 1018.77i 1.46083 + 0.703497i
\(129\) 527.865 + 661.922i 0.360279 + 0.451775i
\(130\) −1575.25 3019.45i −1.06276 2.03710i
\(131\) 71.0002 + 101.784i 0.0473535 + 0.0678849i 0.843146 0.537684i \(-0.180701\pi\)
−0.795793 + 0.605569i \(0.792946\pi\)
\(132\) 1831.39 + 3021.06i 1.20759 + 1.99204i
\(133\) 1901.41 + 769.796i 1.23965 + 0.501878i
\(134\) −956.122 2159.90i −0.616391 1.39244i
\(135\) 2447.69 812.691i 1.56047 0.518113i
\(136\) 1388.29 + 1990.22i 0.875330 + 1.25485i
\(137\) −126.628 + 783.238i −0.0789675 + 0.488442i 0.917012 + 0.398860i \(0.130594\pi\)
−0.995979 + 0.0895822i \(0.971447\pi\)
\(138\) −1830.67 1031.02i −1.12925 0.635985i
\(139\) −340.228 + 329.493i −0.207610 + 0.201059i −0.792186 0.610280i \(-0.791057\pi\)
0.584576 + 0.811339i \(0.301261\pi\)
\(140\) −4822.24 + 2715.83i −2.91110 + 1.63950i
\(141\) −62.2643 8.02809i −0.0371886 0.00479494i
\(142\) −836.163 2817.31i −0.494150 1.66495i
\(143\) −2620.67 870.123i −1.53253 0.508835i
\(144\) 0.222820 + 2.30976i 0.000128947 + 0.00133667i
\(145\) −744.940 + 4607.72i −0.426647 + 2.63897i
\(146\) −5467.60 + 1064.81i −3.09933 + 0.603594i
\(147\) 593.686 1137.99i 0.333105 0.638500i
\(148\) 818.122 105.485i 0.454386 0.0585866i
\(149\) 277.967 236.637i 0.152832 0.130108i −0.568540 0.822656i \(-0.692491\pi\)
0.721372 + 0.692548i \(0.243512\pi\)
\(150\) 1478.01 + 2833.07i 0.804527 + 1.54213i
\(151\) 8.24726 + 85.4915i 0.00444472 + 0.0460742i 0.997335 0.0729602i \(-0.0232446\pi\)
−0.992890 + 0.119034i \(0.962020\pi\)
\(152\) 1477.55 + 1102.72i 0.788453 + 0.588438i
\(153\) 351.289 793.567i 0.185621 0.419321i
\(154\) −2064.90 + 6957.35i −1.08049 + 3.64051i
\(155\) −838.381 + 1201.88i −0.434454 + 0.622822i
\(156\) 1780.43 + 1724.25i 0.913770 + 0.884937i
\(157\) −2633.75 + 1066.29i −1.33883 + 0.542032i −0.928983 0.370123i \(-0.879316\pi\)
−0.409846 + 0.912155i \(0.634418\pi\)
\(158\) −3097.79 2311.94i −1.55979 1.16410i
\(159\) −508.828 286.567i −0.253791 0.142932i
\(160\) 2948.62 773.220i 1.45693 0.382052i
\(161\) −593.848 2601.82i −0.290694 1.27361i
\(162\) −1628.16 + 1215.12i −0.789629 + 0.589316i
\(163\) 112.577 + 123.959i 0.0540962 + 0.0595659i 0.766727 0.641974i \(-0.221884\pi\)
−0.712631 + 0.701540i \(0.752496\pi\)
\(164\) −3518.32 4411.84i −1.67521 2.10065i
\(165\) 4372.29 + 1451.70i 2.06292 + 0.684938i
\(166\) 3810.79 1542.82i 1.78178 0.721362i
\(167\) 17.5186 181.599i 0.00811757 0.0841471i −0.990431 0.138011i \(-0.955929\pi\)
0.998548 + 0.0538637i \(0.0171536\pi\)
\(168\) 1676.08 1845.55i 0.769718 0.847545i
\(169\) 259.207 + 16.6416i 0.117982 + 0.00757470i
\(170\) 7997.63 + 2097.22i 3.60818 + 0.946175i
\(171\) 63.3149 656.326i 0.0283147 0.293512i
\(172\) −1022.23 + 2309.23i −0.453163 + 1.02370i
\(173\) 437.329 423.529i 0.192194 0.186129i −0.593333 0.804957i \(-0.702188\pi\)
0.785526 + 0.618828i \(0.212392\pi\)
\(174\) −876.783 5423.21i −0.382004 2.36283i
\(175\) −1401.78 + 3809.08i −0.605511 + 1.64537i
\(176\) −9.29218 + 15.3284i −0.00397969 + 0.00656491i
\(177\) −1988.48 + 957.600i −0.844424 + 0.406653i
\(178\) −1421.45 684.536i −0.598553 0.288248i
\(179\) 522.366 + 1760.02i 0.218120 + 0.734918i 0.994508 + 0.104663i \(0.0333763\pi\)
−0.776388 + 0.630255i \(0.782950\pi\)
\(180\) 1277.92 + 1237.59i 0.529169 + 0.512471i
\(181\) −3731.59 978.537i −1.53241 0.401846i −0.611382 0.791336i \(-0.709386\pi\)
−0.921031 + 0.389490i \(0.872651\pi\)
\(182\) −163.189 + 5088.84i −0.0664637 + 2.07258i
\(183\) 396.829 0.160298
\(184\) 76.8782 2397.35i 0.0308018 0.960514i
\(185\) 723.199 796.322i 0.287409 0.316469i
\(186\) 490.741 1653.47i 0.193456 0.651818i
\(187\) 5841.17 3289.68i 2.28422 1.28645i
\(188\) −64.6738 175.740i −0.0250895 0.0681762i
\(189\) −3784.63 737.057i −1.45657 0.283667i
\(190\) 6269.00 402.483i 2.39369 0.153680i
\(191\) −2680.05 + 3360.67i −1.01529 + 1.27314i −0.0537316 + 0.998555i \(0.517112\pi\)
−0.961563 + 0.274584i \(0.911460\pi\)
\(192\) −3015.24 + 1962.70i −1.13336 + 0.737738i
\(193\) −2206.64 284.515i −0.822993 0.106113i −0.295145 0.955452i \(-0.595368\pi\)
−0.527847 + 0.849339i \(0.677001\pi\)
\(194\) −1079.12 + 1547.00i −0.399363 + 0.572517i
\(195\) 3225.45 + 207.081i 1.18451 + 0.0760481i
\(196\) 3828.60 1.39526
\(197\) −2552.08 1064.09i −0.922984 0.384837i
\(198\) 2332.77 0.837285
\(199\) 394.154 + 25.3055i 0.140406 + 0.00901438i 0.134115 0.990966i \(-0.457181\pi\)
0.00629164 + 0.999980i \(0.497997\pi\)
\(200\) −2087.06 + 2991.96i −0.737887 + 1.05782i
\(201\) 2223.28 + 286.660i 0.780190 + 0.100594i
\(202\) 4107.88 2673.94i 1.43084 0.931374i
\(203\) 4350.71 5455.61i 1.50423 1.88625i
\(204\) −6004.77 + 385.519i −2.06087 + 0.132312i
\(205\) −7223.02 1406.68i −2.46087 0.479254i
\(206\) 2338.99 + 6355.80i 0.791094 + 2.14966i
\(207\) −747.441 + 420.951i −0.250970 + 0.141344i
\(208\) −3.57808 + 12.0557i −0.00119277 + 0.00401882i
\(209\) 3424.33 3770.57i 1.13333 1.24792i
\(210\) 272.263 8490.15i 0.0894662 2.78989i
\(211\) 411.294 0.134193 0.0670963 0.997747i \(-0.478627\pi\)
0.0670963 + 0.997747i \(0.478627\pi\)
\(212\) 55.8309 1741.01i 0.0180872 0.564025i
\(213\) 2697.80 + 707.446i 0.867840 + 0.227575i
\(214\) −1391.46 1347.55i −0.444477 0.430452i
\(215\) 937.011 + 3157.10i 0.297226 + 1.00145i
\(216\) −3122.24 1503.59i −0.983526 0.473641i
\(217\) 1973.82 950.543i 0.617474 0.297360i
\(218\) −5338.27 + 8806.04i −1.65850 + 2.73587i
\(219\) 1825.75 4961.16i 0.563347 1.53080i
\(220\) 2193.21 + 13565.8i 0.672120 + 4.15730i
\(221\) 3378.51 3271.90i 1.02834 0.995892i
\(222\) −512.493 + 1157.73i −0.154938 + 0.350008i
\(223\) 476.630 4940.77i 0.143128 1.48367i −0.592109 0.805858i \(-0.701704\pi\)
0.735236 0.677811i \(-0.237071\pi\)
\(224\) −4408.20 1155.96i −1.31489 0.344804i
\(225\) 1301.98 + 83.5897i 0.385771 + 0.0247673i
\(226\) −605.175 + 666.364i −0.178122 + 0.196132i
\(227\) 67.0372 694.910i 0.0196009 0.203184i −0.980381 0.197114i \(-0.936843\pi\)
0.999982 0.00607054i \(-0.00193232\pi\)
\(228\) −4237.60 + 1715.61i −1.23089 + 0.498330i
\(229\) 2186.07 + 725.825i 0.630827 + 0.209449i 0.612610 0.790385i \(-0.290119\pi\)
0.0182168 + 0.999834i \(0.494201\pi\)
\(230\) −5095.54 6389.60i −1.46082 1.83182i
\(231\) −4630.45 5098.64i −1.31888 1.45223i
\(232\) 5026.16 3751.12i 1.42234 1.06152i
\(233\) −418.261 1832.52i −0.117602 0.515247i −0.999075 0.0430120i \(-0.986305\pi\)
0.881473 0.472235i \(-0.156553\pi\)
\(234\) 1583.06 415.127i 0.442255 0.115973i
\(235\) −212.776 119.833i −0.0590638 0.0332641i
\(236\) −5275.92 3937.52i −1.45523 1.08606i
\(237\) 3400.32 1376.64i 0.931960 0.377309i
\(238\) −8879.32 8599.14i −2.41832 2.34202i
\(239\) 1999.49 2866.42i 0.541157 0.775789i −0.452070 0.891982i \(-0.649314\pi\)
0.993227 + 0.116194i \(0.0370694\pi\)
\(240\) 5.96962 20.1136i 0.00160557 0.00540970i
\(241\) −2744.46 + 6199.77i −0.733552 + 1.65711i 0.0200706 + 0.999799i \(0.493611\pi\)
−0.753622 + 0.657308i \(0.771695\pi\)
\(242\) 9557.87 + 7133.22i 2.53886 + 1.89480i
\(243\) 210.497 + 2182.02i 0.0555695 + 0.576037i
\(244\) 547.498 + 1049.45i 0.143647 + 0.275345i
\(245\) 3801.68 3236.42i 0.991348 0.843947i
\(246\) 8590.00 1107.56i 2.22634 0.287054i
\(247\) 1652.82 3168.15i 0.425776 0.816133i
\(248\) 1932.70 376.393i 0.494865 0.0963750i
\(249\) −622.717 + 3851.73i −0.158486 + 0.980294i
\(250\) 264.792 + 2744.85i 0.0669877 + 0.694397i
\(251\) −2788.53 925.856i −0.701237 0.232827i −0.0578026 0.998328i \(-0.518409\pi\)
−0.643434 + 0.765501i \(0.722491\pi\)
\(252\) −756.717 2549.63i −0.189162 0.637348i
\(253\) −6572.05 847.372i −1.63313 0.210568i
\(254\) −2800.69 + 1577.32i −0.691853 + 0.389644i
\(255\) −5636.66 + 5458.80i −1.38424 + 1.34056i
\(256\) −3594.66 2024.48i −0.877603 0.494257i
\(257\) −621.086 + 3841.63i −0.150748 + 0.932430i 0.794782 + 0.606895i \(0.207585\pi\)
−0.945530 + 0.325535i \(0.894456\pi\)
\(258\) −2217.56 3179.04i −0.535114 0.767127i
\(259\) −1526.26 + 506.752i −0.366166 + 0.121575i
\(260\) 3902.45 + 8815.71i 0.930846 + 2.10280i
\(261\) −2079.06 841.718i −0.493067 0.199621i
\(262\) −294.531 485.860i −0.0694512 0.114567i
\(263\) 939.748 + 1347.20i 0.220332 + 0.315863i 0.914989 0.403478i \(-0.132199\pi\)
−0.694657 + 0.719341i \(0.744444\pi\)
\(264\) −2863.23 5488.28i −0.667499 1.27947i
\(265\) −1416.28 1775.96i −0.328308 0.411685i
\(266\) −8461.42 4074.80i −1.95039 0.939256i
\(267\) 1254.86 816.825i 0.287627 0.187224i
\(268\) 2309.32 + 6275.17i 0.526359 + 1.43029i
\(269\) 174.628 + 1080.14i 0.0395809 + 0.244822i 0.999353 0.0359571i \(-0.0114480\pi\)
−0.959772 + 0.280779i \(0.909407\pi\)
\(270\) −11421.5 + 2995.07i −2.57440 + 0.675088i
\(271\) −4400.15 + 856.928i −0.986309 + 0.192084i −0.658435 0.752638i \(-0.728781\pi\)
−0.327874 + 0.944721i \(0.606332\pi\)
\(272\) −15.8266 26.1076i −0.00352804 0.00581986i
\(273\) −4049.63 2636.02i −0.897784 0.584392i
\(274\) 808.287 3541.34i 0.178213 0.780803i
\(275\) 7673.91 + 6532.89i 1.68274 + 1.43254i
\(276\) 4984.69 + 3244.67i 1.08711 + 0.707632i
\(277\) 6398.36 2124.40i 1.38787 0.460805i 0.478976 0.877828i \(-0.341008\pi\)
0.908896 + 0.417023i \(0.136927\pi\)
\(278\) 1651.09 1405.60i 0.356209 0.303245i
\(279\) −473.432 521.302i −0.101590 0.111862i
\(280\) 8737.13 4207.58i 1.86480 0.898039i
\(281\) 2607.25 3269.39i 0.553508 0.694077i −0.423835 0.905739i \(-0.639316\pi\)
0.977343 + 0.211663i \(0.0678878\pi\)
\(282\) 282.120 + 54.9428i 0.0595744 + 0.0116021i
\(283\) −344.219 + 935.355i −0.0723028 + 0.196470i −0.969464 0.245233i \(-0.921136\pi\)
0.897161 + 0.441703i \(0.145625\pi\)
\(284\) 1851.20 + 8110.62i 0.386790 + 1.69464i
\(285\) −2757.55 + 5285.70i −0.573133 + 1.09859i
\(286\) 11718.2 + 4744.16i 2.42276 + 0.980868i
\(287\) 8376.90 + 7131.36i 1.72290 + 1.46673i
\(288\) 46.9512 + 1464.11i 0.00960635 + 0.299561i
\(289\) 208.496 + 6501.69i 0.0424377 + 1.32336i
\(290\) 4755.08 20833.3i 0.962854 4.21854i
\(291\) −724.590 1636.86i −0.145966 0.329741i
\(292\) 15639.2 2016.45i 3.13430 0.404123i
\(293\) 3418.90 2551.59i 0.681687 0.508756i −0.200477 0.979698i \(-0.564249\pi\)
0.882164 + 0.470942i \(0.156086\pi\)
\(294\) −3046.25 + 5025.12i −0.604290 + 0.996839i
\(295\) −8567.31 + 550.039i −1.69087 + 0.108558i
\(296\) −1442.42 + 92.6065i −0.283240 + 0.0181846i
\(297\) −4962.98 + 8186.96i −0.969635 + 1.59951i
\(298\) −1339.40 + 999.618i −0.260366 + 0.194317i
\(299\) −4610.71 + 594.485i −0.891786 + 0.114983i
\(300\) −3661.57 8271.55i −0.704670 1.59186i
\(301\) 1095.55 4799.93i 0.209789 0.919147i
\(302\) −12.6032 393.015i −0.00240144 0.0748857i
\(303\) 149.094 + 4649.31i 0.0282682 + 0.881505i
\(304\) −17.6626 15.0364i −0.00333231 0.00283684i
\(305\) 1430.78 + 579.257i 0.268610 + 0.108748i
\(306\) −1837.75 + 3522.63i −0.343325 + 0.658089i
\(307\) 662.765 + 2903.76i 0.123212 + 0.539826i 0.998426 + 0.0560897i \(0.0178633\pi\)
−0.875214 + 0.483736i \(0.839280\pi\)
\(308\) 7095.26 19280.1i 1.31263 3.56684i
\(309\) −6308.86 1228.65i −1.16148 0.226199i
\(310\) 4182.96 5245.27i 0.766375 0.961004i
\(311\) −3604.93 + 1736.04i −0.657289 + 0.316534i −0.732633 0.680624i \(-0.761709\pi\)
0.0753438 + 0.997158i \(0.475995\pi\)
\(312\) −2919.71 3214.92i −0.529794 0.583362i
\(313\) 2894.15 2463.83i 0.522642 0.444932i −0.347538 0.937666i \(-0.612982\pi\)
0.870180 + 0.492734i \(0.164003\pi\)
\(314\) 12345.9 4099.13i 2.21886 0.736711i
\(315\) −2906.66 1892.03i −0.519911 0.338424i
\(316\) 8332.00 + 7093.13i 1.48326 + 1.26272i
\(317\) −1855.14 + 8127.89i −0.328690 + 1.44009i 0.492939 + 0.870064i \(0.335923\pi\)
−0.821629 + 0.570023i \(0.806934\pi\)
\(318\) 2240.69 + 1458.53i 0.395131 + 0.257202i
\(319\) −8981.85 14816.5i −1.57645 2.60052i
\(320\) −13736.5 + 2675.18i −2.39966 + 0.467334i
\(321\) 1778.19 466.295i 0.309186 0.0810780i
\(322\) 1950.00 + 12061.5i 0.337482 + 2.08745i
\(323\) 2996.12 + 8141.42i 0.516125 + 1.40248i
\(324\) 4819.96 3137.45i 0.826468 0.537971i
\(325\) 6370.22 + 3067.73i 1.08725 + 0.523592i
\(326\) −477.982 599.371i −0.0812055 0.101828i
\(327\) −4520.36 8664.69i −0.764455 1.46532i
\(328\) 5656.90 + 8109.59i 0.952286 + 1.36517i
\(329\) 189.255 + 312.195i 0.0317141 + 0.0523158i
\(330\) −19550.4 7915.09i −3.26126 1.32034i
\(331\) 122.263 + 276.193i 0.0203026 + 0.0458639i 0.924276 0.381724i \(-0.124670\pi\)
−0.903974 + 0.427588i \(0.859363\pi\)
\(332\) −11045.4 + 3667.32i −1.82589 + 0.606236i
\(333\) 295.744 + 423.971i 0.0486687 + 0.0697702i
\(334\) −133.308 + 824.556i −0.0218392 + 0.135083i
\(335\) 7597.64 + 4278.91i 1.23911 + 0.697856i
\(336\) −22.5320 + 21.8210i −0.00365840 + 0.00354296i
\(337\) −4604.21 + 2593.04i −0.744235 + 0.419145i −0.815832 0.578288i \(-0.803721\pi\)
0.0715976 + 0.997434i \(0.477190\pi\)
\(338\) −1179.39 152.065i −0.189794 0.0244712i
\(339\) −243.066 818.971i −0.0389426 0.131211i
\(340\) −22213.1 7375.25i −3.54316 1.17641i
\(341\) −522.337 5414.57i −0.0829505 0.859869i
\(342\) −481.794 + 2980.07i −0.0761767 + 0.471180i
\(343\) 1180.23 229.850i 0.185791 0.0361829i
\(344\) 2046.72 3923.19i 0.320791 0.614896i
\(345\) 7692.44 991.830i 1.20043 0.154778i
\(346\) −2122.31 + 1806.75i −0.329758 + 0.280727i
\(347\) 2376.13 + 4554.59i 0.367600 + 0.704620i 0.997394 0.0721415i \(-0.0229833\pi\)
−0.629794 + 0.776762i \(0.716861\pi\)
\(348\) 1493.31 + 15479.7i 0.230028 + 2.38448i
\(349\) −5487.12 4095.14i −0.841601 0.628103i 0.0882259 0.996100i \(-0.471880\pi\)
−0.929827 + 0.367997i \(0.880044\pi\)
\(350\) 7521.80 16991.9i 1.14873 2.59501i
\(351\) −1911.06 + 6439.01i −0.290613 + 0.979171i
\(352\) −6473.86 + 9280.76i −0.980278 + 1.40530i
\(353\) −1780.31 1724.13i −0.268431 0.259961i 0.549216 0.835680i \(-0.314926\pi\)
−0.817648 + 0.575719i \(0.804722\pi\)
\(354\) 9365.90 3791.83i 1.40619 0.569304i
\(355\) 8694.29 + 6488.71i 1.29984 + 0.970099i
\(356\) 3891.48 + 2191.64i 0.579348 + 0.326283i
\(357\) 11347.1 2975.57i 1.68223 0.441131i
\(358\) −1870.33 8194.47i −0.276118 1.20975i
\(359\) −6071.36 + 4531.17i −0.892574 + 0.666145i −0.943076 0.332579i \(-0.892081\pi\)
0.0505013 + 0.998724i \(0.483918\pi\)
\(360\) −2095.65 2307.54i −0.306806 0.337828i
\(361\) −166.922 209.314i −0.0243362 0.0305166i
\(362\) 16761.9 + 5565.35i 2.43367 + 0.808034i
\(363\) −10491.3 + 4247.45i −1.51694 + 0.614141i
\(364\) 1383.99 14346.5i 0.199288 2.06582i
\(365\) 13824.7 15222.5i 1.98251 2.18296i
\(366\) −1813.05 116.401i −0.258933 0.0166240i
\(367\) 2678.10 + 702.280i 0.380914 + 0.0998875i 0.439146 0.898416i \(-0.355281\pi\)
−0.0582319 + 0.998303i \(0.518546\pi\)
\(368\) −2.89775 + 30.0382i −0.000410478 + 0.00425503i
\(369\) 1431.41 3233.57i 0.201940 0.456187i
\(370\) −3537.75 + 3426.12i −0.497079 + 0.481394i
\(371\) 541.995 + 3352.43i 0.0758464 + 0.469137i
\(372\) −1686.25 + 4582.07i −0.235021 + 0.638628i
\(373\) −2461.68 + 4060.80i −0.341719 + 0.563701i −0.978219 0.207576i \(-0.933443\pi\)
0.636500 + 0.771277i \(0.280381\pi\)
\(374\) −27652.2 + 13316.6i −3.82317 + 1.84114i
\(375\) −2357.89 1135.50i −0.324695 0.156365i
\(376\) 93.3602 + 314.561i 0.0128050 + 0.0431443i
\(377\) −8731.92 8456.39i −1.19288 1.15524i
\(378\) 17075.1 + 4477.63i 2.32341 + 0.609271i
\(379\) −71.1927 + 2220.05i −0.00964887 + 0.300887i 0.983274 + 0.182130i \(0.0582992\pi\)
−0.992923 + 0.118757i \(0.962109\pi\)
\(380\) −17783.0 −2.40066
\(381\) 97.7733 3048.93i 0.0131472 0.409978i
\(382\) 13230.4 14568.2i 1.77206 1.95124i
\(383\) 908.717 3061.77i 0.121236 0.408483i −0.876041 0.482237i \(-0.839824\pi\)
0.997276 + 0.0737538i \(0.0234979\pi\)
\(384\) 8889.20 5006.30i 1.18132 0.665304i
\(385\) −9252.62 25142.3i −1.22482 3.32824i
\(386\) 9998.31 + 1947.17i 1.31840 + 0.256758i
\(387\) −1579.30 + 101.394i −0.207443 + 0.0133183i
\(388\) 3329.13 4174.59i 0.435595 0.546219i
\(389\) 1128.81 734.772i 0.147128 0.0957697i −0.469865 0.882738i \(-0.655698\pi\)
0.616993 + 0.786968i \(0.288351\pi\)
\(390\) −14675.8 1892.24i −1.90548 0.245685i
\(391\) 6457.05 9256.67i 0.835159 1.19726i
\(392\) −6694.75 429.817i −0.862592 0.0553802i
\(393\) 539.208 0.0692098
\(394\) 11347.9 + 5610.22i 1.45101 + 0.717358i
\(395\) 14269.4 1.81765
\(396\) −6590.11 423.099i −0.836276 0.0536907i
\(397\) 6298.64 9029.57i 0.796271 1.14151i −0.190863 0.981617i \(-0.561128\pi\)
0.987134 0.159898i \(-0.0511164\pi\)
\(398\) −1793.40 231.233i −0.225867 0.0291223i
\(399\) 7469.76 4862.27i 0.937232 0.610071i
\(400\) 28.6162 35.8836i 0.00357702 0.00448545i
\(401\) −5932.80 + 380.898i −0.738827 + 0.0474343i −0.428933 0.903337i \(-0.641110\pi\)
−0.309895 + 0.950771i \(0.600294\pi\)
\(402\) −10073.7 1961.85i −1.24983 0.243404i
\(403\) −1318.02 3581.47i −0.162916 0.442694i
\(404\) −12089.8 + 6808.87i −1.48884 + 0.838499i
\(405\) 2133.90 7189.82i 0.261813 0.882136i
\(406\) −21477.9 + 23649.6i −2.62545 + 2.89091i
\(407\) −127.986 + 3991.07i −0.0155873 + 0.486069i
\(408\) 10543.3 1.27934
\(409\) −319.293 + 9956.75i −0.0386016 + 1.20374i 0.778650 + 0.627458i \(0.215905\pi\)
−0.817252 + 0.576281i \(0.804503\pi\)
\(410\) 32588.1 + 8545.61i 3.92540 + 1.02936i
\(411\) 2476.36 + 2398.22i 0.297202 + 0.287824i
\(412\) −5454.93 18379.5i −0.652295 2.19780i
\(413\) 11563.5 + 5568.69i 1.37773 + 0.663480i
\(414\) 3538.41 1704.01i 0.420056 0.202288i
\(415\) −7867.63 + 12978.5i −0.930619 + 1.53515i
\(416\) −2741.72 + 7450.15i −0.323135 + 0.878062i
\(417\) 328.434 + 2031.48i 0.0385696 + 0.238566i
\(418\) −16751.2 + 16222.6i −1.96011 + 1.89826i
\(419\) −889.671 + 2009.78i −0.103731 + 0.234330i −0.958741 0.284282i \(-0.908245\pi\)
0.855010 + 0.518612i \(0.173551\pi\)
\(420\) −2309.03 + 23935.5i −0.268259 + 2.78079i
\(421\) 11788.6 + 3091.32i 1.36470 + 0.357867i 0.862138 0.506674i \(-0.169125\pi\)
0.502563 + 0.864541i \(0.332390\pi\)
\(422\) −1879.13 120.644i −0.216765 0.0139168i
\(423\) 78.8946 86.8717i 0.00906852 0.00998545i
\(424\) −293.081 + 3038.09i −0.0335690 + 0.347978i
\(425\) −15910.6 + 6441.49i −1.81595 + 0.735196i
\(426\) −12118.3 4023.54i −1.37824 0.457608i
\(427\) −1438.81 1804.20i −0.163065 0.204477i
\(428\) 3686.49 + 4059.23i 0.416339 + 0.458436i
\(429\) −9615.22 + 7176.03i −1.08212 + 0.807603i
\(430\) −3354.98 14699.1i −0.376259 1.64850i
\(431\) −1748.16 + 458.421i −0.195373 + 0.0512328i −0.350044 0.936733i \(-0.613833\pi\)
0.154671 + 0.987966i \(0.450568\pi\)
\(432\) 37.9897 + 21.3954i 0.00423097 + 0.00238284i
\(433\) 8338.83 + 6223.43i 0.925493 + 0.690713i 0.951075 0.308959i \(-0.0999807\pi\)
−0.0255821 + 0.999673i \(0.508144\pi\)
\(434\) −9296.88 + 3763.89i −1.02826 + 0.416296i
\(435\) 14568.2 + 14108.5i 1.60573 + 1.55506i
\(436\) 16677.9 23909.0i 1.83194 2.62623i
\(437\) 2439.85 8220.66i 0.267080 0.899880i
\(438\) −9796.80 + 22131.2i −1.06874 + 2.41431i
\(439\) 7435.22 + 5549.05i 0.808345 + 0.603284i 0.920650 0.390390i \(-0.127660\pi\)
−0.112304 + 0.993674i \(0.535823\pi\)
\(440\) −2312.12 23967.6i −0.250514 2.59684i
\(441\) 1109.74 + 2127.17i 0.119829 + 0.229691i
\(442\) −16395.6 + 13957.8i −1.76438 + 1.50204i
\(443\) −7337.34 + 946.046i −0.786925 + 0.101463i −0.510846 0.859672i \(-0.670668\pi\)
−0.276079 + 0.961135i \(0.589035\pi\)
\(444\) 1657.78 3177.66i 0.177196 0.339651i
\(445\) 5716.76 1113.34i 0.608990 0.118601i
\(446\) −3626.91 + 22433.7i −0.385065 + 2.38176i
\(447\) −152.304 1578.79i −0.0161157 0.167057i
\(448\) 19856.0 + 6592.65i 2.09399 + 0.695253i
\(449\) −2046.36 6894.86i −0.215086 0.724697i −0.995095 0.0989277i \(-0.968459\pi\)
0.780008 0.625769i \(-0.215215\pi\)
\(450\) −5923.99 763.814i −0.620577 0.0800145i
\(451\) 23801.2 13404.6i 2.48504 1.39955i
\(452\) 1830.49 1772.73i 0.190485 0.184474i
\(453\) 325.157 + 183.125i 0.0337245 + 0.0189933i
\(454\) −510.118 + 3155.26i −0.0527336 + 0.326176i
\(455\) −10753.2 15415.5i −1.10795 1.58833i
\(456\) 7602.53 2524.21i 0.780748 0.259226i
\(457\) 467.161 + 1055.32i 0.0478181 + 0.108022i 0.936725 0.350066i \(-0.113841\pi\)
−0.888907 + 0.458088i \(0.848535\pi\)
\(458\) −9774.86 3957.40i −0.997269 0.403750i
\(459\) −8453.01 13944.1i −0.859592 1.41799i
\(460\) 13236.1 + 18974.9i 1.34160 + 1.92328i
\(461\) 3854.72 + 7388.77i 0.389441 + 0.746485i 0.998927 0.0463117i \(-0.0147468\pi\)
−0.609486 + 0.792797i \(0.708624\pi\)
\(462\) 19660.1 + 24653.0i 1.97981 + 2.48260i
\(463\) 1170.43 + 563.650i 0.117483 + 0.0565767i 0.491702 0.870764i \(-0.336375\pi\)
−0.374219 + 0.927340i \(0.622089\pi\)
\(464\) −66.1305 + 43.0462i −0.00661644 + 0.00430683i
\(465\) 2198.96 + 5975.28i 0.219299 + 0.595907i
\(466\) 1373.43 + 8495.16i 0.136530 + 0.844487i
\(467\) −14188.5 + 3720.66i −1.40592 + 0.368676i −0.877202 0.480121i \(-0.840593\pi\)
−0.528719 + 0.848797i \(0.677327\pi\)
\(468\) −4547.46 + 885.618i −0.449159 + 0.0874738i
\(469\) −6757.75 11147.6i −0.665339 1.09755i
\(470\) 936.987 + 609.911i 0.0919575 + 0.0598577i
\(471\) −2747.18 + 12036.2i −0.268754 + 1.17749i
\(472\) 8783.51 + 7477.51i 0.856554 + 0.729195i
\(473\) −10245.4 6669.01i −0.995949 0.648291i
\(474\) −15939.3 + 5292.20i −1.54455 + 0.512825i
\(475\) −9930.57 + 8454.02i −0.959255 + 0.816625i
\(476\) 23524.6 + 25903.2i 2.26523 + 2.49427i
\(477\) 983.487 473.622i 0.0944041 0.0454626i
\(478\) −9976.14 + 12509.7i −0.954598 + 1.19703i
\(479\) 819.679 + 159.632i 0.0781881 + 0.0152271i 0.230101 0.973167i \(-0.426094\pi\)
−0.151913 + 0.988394i \(0.548543\pi\)
\(480\) 4574.25 12429.7i 0.434969 1.18195i
\(481\) 623.376 + 2731.19i 0.0590925 + 0.258901i
\(482\) 14357.5 27520.7i 1.35678 2.60069i
\(483\) −10748.0 4351.37i −1.01253 0.409926i
\(484\) −25707.4 21885.0i −2.41429 2.05532i
\(485\) −223.175 6959.43i −0.0208946 0.651570i
\(486\) −321.676 10031.0i −0.0300237 0.936249i
\(487\) 502.588 2201.98i 0.0467648 0.204890i −0.946148 0.323734i \(-0.895062\pi\)
0.992913 + 0.118844i \(0.0379189\pi\)
\(488\) −839.546 1896.55i −0.0778780 0.175928i
\(489\) 721.582 93.0377i 0.0667302 0.00860391i
\(490\) −18318.5 + 13671.5i −1.68887 + 1.26044i
\(491\) −4343.86 + 7165.65i −0.399258 + 0.658618i −0.988821 0.149104i \(-0.952361\pi\)
0.589563 + 0.807722i \(0.299300\pi\)
\(492\) −24467.8 + 1570.89i −2.24206 + 0.143945i
\(493\) 29449.8 1890.74i 2.69037 0.172727i
\(494\) −8480.77 + 13989.9i −0.772405 + 1.27416i
\(495\) −6901.42 + 5150.66i −0.626658 + 0.467687i
\(496\) −24.5697 + 3.16791i −0.00222422 + 0.000286781i
\(497\) −6565.11 14830.7i −0.592526 1.33853i
\(498\) 3974.91 17415.2i 0.357671 1.56706i
\(499\) −13.0621 407.326i −0.00117183 0.0365419i 0.998733 0.0503172i \(-0.0160232\pi\)
−0.999905 + 0.0137753i \(0.995615\pi\)
\(500\) −250.204 7802.27i −0.0223789 0.697856i
\(501\) −603.595 513.848i −0.0538257 0.0458225i
\(502\) 12468.7 + 5048.03i 1.10858 + 0.448814i
\(503\) −366.804 + 703.095i −0.0325149 + 0.0623250i −0.902309 0.431090i \(-0.858129\pi\)
0.869794 + 0.493415i \(0.164252\pi\)
\(504\) 1036.97 + 4543.27i 0.0916477 + 0.401535i
\(505\) −6249.10 + 16980.8i −0.550656 + 1.49631i
\(506\) 29778.0 + 5799.27i 2.61619 + 0.509504i
\(507\) 703.640 882.336i 0.0616365 0.0772898i
\(508\) 8198.07 3947.98i 0.716005 0.344810i
\(509\) 9156.86 + 10082.7i 0.797388 + 0.878013i 0.994752 0.102317i \(-0.0326257\pi\)
−0.197364 + 0.980330i \(0.563238\pi\)
\(510\) 27354.1 23286.9i 2.37502 2.02189i
\(511\) −29175.9 + 9687.07i −2.52577 + 0.838612i
\(512\) 86.6912 + 56.4297i 0.00748290 + 0.00487083i
\(513\) −9433.67 8031.00i −0.811904 0.691184i
\(514\) 3964.49 17369.6i 0.340207 1.49054i
\(515\) −20953.2 13639.0i −1.79283 1.16701i
\(516\) 5688.07 + 9383.07i 0.485278 + 0.800517i
\(517\) 889.777 173.284i 0.0756912 0.0147409i
\(518\) 7121.85 1867.57i 0.604085 0.158410i
\(519\) −422.169 2611.27i −0.0357055 0.220851i
\(520\) −5834.19 15853.4i −0.492012 1.33696i
\(521\) 14767.6 9612.65i 1.24181 0.808326i 0.254487 0.967076i \(-0.418093\pi\)
0.987319 + 0.158750i \(0.0507465\pi\)
\(522\) 9251.96 + 4455.51i 0.775761 + 0.373587i
\(523\) −956.880 1199.89i −0.0800027 0.100320i 0.740219 0.672365i \(-0.234722\pi\)
−0.820222 + 0.572045i \(0.806150\pi\)
\(524\) 743.935 + 1425.98i 0.0620209 + 0.118882i
\(525\) 10089.4 + 14464.0i 0.838741 + 1.20240i
\(526\) −3898.37 6430.78i −0.323151 0.533071i
\(527\) 8587.85 + 3476.83i 0.709853 + 0.287388i
\(528\) 31.5256 + 71.2169i 0.00259844 + 0.00586992i
\(529\) 959.509 318.579i 0.0788616 0.0261839i
\(530\) 5949.82 + 8529.51i 0.487630 + 0.699054i
\(531\) 658.427 4072.60i 0.0538104 0.332836i
\(532\) 23164.6 + 13046.1i 1.88781 + 1.06319i
\(533\) 13766.5 13332.1i 1.11875 1.08345i
\(534\) −5972.85 + 3363.85i −0.484027 + 0.272599i
\(535\) 7091.94 + 914.404i 0.573105 + 0.0738937i
\(536\) −3333.63 11232.1i −0.268639 0.905136i
\(537\) 7570.48 + 2513.57i 0.608362 + 0.201990i
\(538\) −481.011 4986.18i −0.0385462 0.399572i
\(539\) −2957.93 + 18295.8i −0.236377 + 1.46207i
\(540\) 32809.1 6389.58i 2.61459 0.509192i
\(541\) 7260.01 13916.1i 0.576954 1.10591i −0.404558 0.914512i \(-0.632575\pi\)
0.981512 0.191400i \(-0.0613029\pi\)
\(542\) 20354.9 2624.47i 1.61313 0.207990i
\(543\) −12763.1 + 10865.4i −1.00868 + 0.858706i
\(544\) −8914.45 17087.3i −0.702581 1.34672i
\(545\) −3650.30 37839.1i −0.286902 2.97404i
\(546\) 17728.9 + 13231.4i 1.38961 + 1.03709i
\(547\) −9988.83 + 22564.9i −0.780789 + 1.76381i −0.148755 + 0.988874i \(0.547527\pi\)
−0.632034 + 0.774941i \(0.717780\pi\)
\(548\) −2925.73 + 9857.74i −0.228067 + 0.768434i
\(549\) −424.378 + 608.378i −0.0329909 + 0.0472950i
\(550\) −33144.5 32098.6i −2.56961 2.48853i
\(551\) 20782.9 8414.05i 1.60686 0.650546i
\(552\) −8352.03 6233.28i −0.643996 0.480627i
\(553\) −18587.7 10468.4i −1.42934 0.804992i
\(554\) −29856.2 + 7829.21i −2.28965 + 0.600417i
\(555\) −1040.03 4556.68i −0.0795439 0.348505i
\(556\) −4919.31 + 3671.37i −0.375225 + 0.280038i
\(557\) 5908.78 + 6506.22i 0.449485 + 0.494933i 0.922433 0.386158i \(-0.126198\pi\)
−0.472948 + 0.881090i \(0.656810\pi\)
\(558\) 2010.12 + 2520.61i 0.152500 + 0.191229i
\(559\) −8139.50 2702.50i −0.615857 0.204479i
\(560\) −113.092 + 45.7859i −0.00853394 + 0.00345501i
\(561\) 2796.92 28993.0i 0.210492 2.18197i
\(562\) −12871.1 + 14172.5i −0.966075 + 1.06376i
\(563\) −500.728 32.1478i −0.0374834 0.00240652i 0.0453172 0.998973i \(-0.485570\pi\)
−0.0828006 + 0.996566i \(0.526386\pi\)
\(564\) −787.029 206.383i −0.0587587 0.0154083i
\(565\) 319.082 3307.62i 0.0237591 0.246288i
\(566\) 1847.04 4172.51i 0.137168 0.309865i
\(567\) −8054.29 + 7800.14i −0.596558 + 0.577734i
\(568\) −2326.49 14390.2i −0.171861 1.06302i
\(569\) −7387.37 + 20073.9i −0.544279 + 1.47898i 0.305680 + 0.952134i \(0.401116\pi\)
−0.849959 + 0.526848i \(0.823374\pi\)
\(570\) 14149.2 23340.6i 1.03973 1.71514i
\(571\) −12764.4 + 6146.99i −0.935502 + 0.450514i −0.838580 0.544778i \(-0.816614\pi\)
−0.0969218 + 0.995292i \(0.530900\pi\)
\(572\) −32243.6 15527.7i −2.35695 1.13504i
\(573\) 5313.97 + 17904.5i 0.387424 + 1.30536i
\(574\) −36180.8 35039.1i −2.63094 2.54792i
\(575\) 16412.1 + 4303.75i 1.19031 + 0.312137i
\(576\) 215.549 6721.60i 0.0155924 0.486227i
\(577\) 2181.00 0.157359 0.0786796 0.996900i \(-0.474930\pi\)
0.0786796 + 0.996900i \(0.474930\pi\)
\(578\) 954.546 29766.2i 0.0686918 2.14206i
\(579\) −6499.17 + 7156.30i −0.466487 + 0.513654i
\(580\) −17211.8 + 57992.2i −1.23221 + 4.15171i
\(581\) 19769.9 11134.2i 1.41169 0.795050i
\(582\) 2830.39 + 7691.08i 0.201587 + 0.547776i
\(583\) 8276.68 + 1611.88i 0.587968 + 0.114507i
\(584\) −27573.3 + 1770.26i −1.95375 + 0.125435i
\(585\) −3766.85 + 4723.48i −0.266222 + 0.333832i
\(586\) −16368.8 + 10654.9i −1.15391 + 0.751111i
\(587\) −6516.09 840.157i −0.458173 0.0590749i −0.104668 0.994507i \(-0.533378\pi\)
−0.353506 + 0.935432i \(0.615011\pi\)
\(588\) 9517.15 13643.5i 0.667484 0.956888i
\(589\) 7024.89 + 451.013i 0.491436 + 0.0315512i
\(590\) 39303.9 2.74257
\(591\) −10135.9 + 6449.43i −0.705475 + 0.448890i
\(592\) 18.1852 0.00126251
\(593\) 10763.2 + 691.022i 0.745350 + 0.0478531i 0.432110 0.901821i \(-0.357769\pi\)
0.313240 + 0.949674i \(0.398586\pi\)
\(594\) 25076.5 35949.0i 1.73216 2.48318i
\(595\) 45255.8 + 5835.09i 3.11816 + 0.402043i
\(596\) 3965.13 2581.01i 0.272513 0.177386i
\(597\) 1069.97 1341.70i 0.0733515 0.0919798i
\(598\) 21239.9 1363.65i 1.45245 0.0932503i
\(599\) −13145.8 2560.15i −0.896702 0.174633i −0.278299 0.960494i \(-0.589771\pi\)
−0.618402 + 0.785862i \(0.712220\pi\)
\(600\) 5474.07 + 14874.8i 0.372463 + 1.01210i
\(601\) −1838.69 + 1035.53i −0.124795 + 0.0702831i −0.551855 0.833940i \(-0.686080\pi\)
0.427060 + 0.904223i \(0.359549\pi\)
\(602\) −6413.35 + 21608.7i −0.434200 + 1.46296i
\(603\) −2817.10 + 3101.94i −0.190251 + 0.209487i
\(604\) −35.6777 + 1112.56i −0.00240348 + 0.0749495i
\(605\) −44026.6 −2.95857
\(606\) 682.589 21285.6i 0.0457563 1.42685i
\(607\) 24796.6 + 6502.44i 1.65810 + 0.434804i 0.959727 0.280934i \(-0.0906441\pi\)
0.698369 + 0.715738i \(0.253909\pi\)
\(608\) −10518.9 10187.0i −0.701644 0.679504i
\(609\) −8626.53 29065.7i −0.573998 1.93399i
\(610\) −6367.06 3066.21i −0.422614 0.203520i
\(611\) 572.982 275.934i 0.0379384 0.0182702i
\(612\) 5830.60 9618.18i 0.385111 0.635281i
\(613\) 534.722 1453.01i 0.0352320 0.0957368i −0.919631 0.392784i \(-0.871512\pi\)
0.954863 + 0.297047i \(0.0960018\pi\)
\(614\) −2176.30 13461.2i −0.143043 0.884771i
\(615\) −22967.8 + 22243.1i −1.50594 + 1.45842i
\(616\) −14571.4 + 32916.9i −0.953079 + 2.15302i
\(617\) 781.149 8097.42i 0.0509690 0.528347i −0.934199 0.356753i \(-0.883884\pi\)
0.985168 0.171594i \(-0.0548917\pi\)
\(618\) 28463.7 + 7464.06i 1.85271 + 0.485839i
\(619\) −15536.6 997.480i −1.00883 0.0647691i −0.449133 0.893465i \(-0.648267\pi\)
−0.559699 + 0.828696i \(0.689083\pi\)
\(620\) −12768.3 + 14059.3i −0.827076 + 0.910703i
\(621\) −1547.70 + 16043.5i −0.100011 + 1.03672i
\(622\) 16979.6 6874.26i 1.09456 0.443139i
\(623\) −8263.56 2743.69i −0.531416 0.176442i
\(624\) 34.0672 + 42.7190i 0.00218555 + 0.00274059i
\(625\) 6655.80 + 7328.77i 0.425971 + 0.469042i
\(626\) −13945.6 + 10407.9i −0.890379 + 0.664507i
\(627\) −4924.53 21575.8i −0.313663 1.37425i
\(628\) −35621.0 + 9340.91i −2.26342 + 0.593540i
\(629\) −5925.95 3337.43i −0.375649 0.211561i
\(630\) 12725.1 + 9496.96i 0.804728 + 0.600584i
\(631\) −5985.70 + 2423.34i −0.377634 + 0.152887i −0.556216 0.831038i \(-0.687747\pi\)
0.178582 + 0.983925i \(0.442849\pi\)
\(632\) −13773.1 13338.5i −0.866876 0.839523i
\(633\) 1022.39 1465.68i 0.0641967 0.0920308i
\(634\) 10859.9 36590.7i 0.680289 2.29212i
\(635\) 4803.09 10850.3i 0.300165 0.678078i
\(636\) −6065.46 4526.77i −0.378162 0.282230i
\(637\) 1248.52 + 12942.3i 0.0776583 + 0.805010i
\(638\) 36690.4 + 70328.7i 2.27678 + 4.36417i
\(639\) −3969.66 + 3379.42i −0.245755 + 0.209214i
\(640\) 39357.9 5074.64i 2.43087 0.313426i
\(641\) −4704.43 + 9017.51i −0.289881 + 0.555648i −0.986886 0.161419i \(-0.948393\pi\)
0.697005 + 0.717066i \(0.254515\pi\)
\(642\) −8261.00 + 1608.83i −0.507844 + 0.0989025i
\(643\) 4263.54 26371.5i 0.261489 1.61740i −0.435408 0.900233i \(-0.643396\pi\)
0.696898 0.717171i \(-0.254563\pi\)
\(644\) −3321.18 34427.5i −0.203219 2.10657i
\(645\) 13579.8 + 4508.81i 0.829000 + 0.275247i
\(646\) −11300.6 38075.6i −0.688262 2.31898i
\(647\) 7296.45 + 940.773i 0.443359 + 0.0571648i 0.346321 0.938116i \(-0.387431\pi\)
0.0970374 + 0.995281i \(0.469063\pi\)
\(648\) −8780.47 + 4945.07i −0.532299 + 0.299785i
\(649\) 22892.4 22170.1i 1.38460 1.34091i
\(650\) −28204.6 15884.5i −1.70196 0.958526i
\(651\) 1519.19 9396.74i 0.0914621 0.565726i
\(652\) 1241.60 + 1779.93i 0.0745779 + 0.106913i
\(653\) −18201.3 + 6043.25i −1.09077 + 0.362160i −0.803267 0.595619i \(-0.796907\pi\)
−0.287503 + 0.957780i \(0.592825\pi\)
\(654\) 18111.2 + 40913.4i 1.08288 + 2.44624i
\(655\) 1944.12 + 787.089i 0.115974 + 0.0469528i
\(656\) −64.4888 106.381i −0.00383821 0.00633153i
\(657\) 5653.44 + 8104.63i 0.335710 + 0.481266i
\(658\) −773.096 1481.88i −0.0458031 0.0877959i
\(659\) 8402.10 + 10535.9i 0.496661 + 0.622793i 0.965472 0.260505i \(-0.0838891\pi\)
−0.468812 + 0.883298i \(0.655318\pi\)
\(660\) 53794.7 + 25906.2i 3.17266 + 1.52787i
\(661\) −21773.0 + 14172.6i −1.28120 + 0.833967i −0.992356 0.123411i \(-0.960617\pi\)
−0.288841 + 0.957377i \(0.593270\pi\)
\(662\) −477.581 1297.74i −0.0280389 0.0761906i
\(663\) −3261.40 20172.9i −0.191044 1.18167i
\(664\) 19725.8 5172.72i 1.15288 0.302320i
\(665\) 34029.9 6627.32i 1.98439 0.386461i
\(666\) −1226.84 2023.80i −0.0713801 0.117749i
\(667\) −24446.9 15913.2i −1.41917 0.923778i
\(668\) 526.149 2305.21i 0.0304750 0.133520i
\(669\) −16422.0 13980.3i −0.949046 0.807935i
\(670\) −33457.2 21778.2i −1.92920 1.25577i
\(671\) −5438.02 + 1805.55i −0.312865 + 0.103878i
\(672\) −15077.3 + 12835.5i −0.865503 + 0.736814i
\(673\) 3690.42 + 4063.57i 0.211375 + 0.232747i 0.836761 0.547568i \(-0.184446\pi\)
−0.625386 + 0.780315i \(0.715059\pi\)
\(674\) 21796.4 10496.6i 1.24565 0.599873i
\(675\) 15284.0 19165.5i 0.871527 1.09286i
\(676\) 3304.22 + 643.496i 0.187996 + 0.0366122i
\(677\) 294.538 800.356i 0.0167209 0.0454360i −0.929833 0.367982i \(-0.880049\pi\)
0.946554 + 0.322546i \(0.104539\pi\)
\(678\) 870.301 + 3813.04i 0.0492975 + 0.215986i
\(679\) −4814.89 + 9229.24i −0.272133 + 0.521629i
\(680\) 38014.1 + 15390.2i 2.14379 + 0.867923i
\(681\) −2309.73 1966.30i −0.129969 0.110644i
\(682\) 798.220 + 24891.4i 0.0448173 + 1.39757i
\(683\) 633.044 + 19740.6i 0.0354652 + 1.10594i 0.850318 + 0.526269i \(0.176409\pi\)
−0.814853 + 0.579668i \(0.803182\pi\)
\(684\) 1901.58 8331.36i 0.106299 0.465728i
\(685\) 5427.85 + 12261.6i 0.302756 + 0.683930i
\(686\) −5459.69 + 703.949i −0.303866 + 0.0391791i
\(687\) 8020.66 5985.98i 0.445426 0.332430i
\(688\) −28.8604 + 47.6083i −0.00159926 + 0.00263815i
\(689\) 5903.55 379.021i 0.326426 0.0209572i
\(690\) −35436.3 + 2275.09i −1.95513 + 0.125523i
\(691\) 10360.7 17091.1i 0.570390 0.940919i −0.428904 0.903350i \(-0.641100\pi\)
0.999294 0.0375683i \(-0.0119612\pi\)
\(692\) 6323.27 4719.18i 0.347362 0.259243i
\(693\) 12768.6 1646.33i 0.699912 0.0902437i
\(694\) −9520.12 21506.1i −0.520719 1.17631i
\(695\) −1781.20 + 7803.97i −0.0972158 + 0.425930i
\(696\) −873.395 27235.7i −0.0475660 1.48328i
\(697\) 1491.21 + 46501.4i 0.0810382 + 2.52707i
\(698\) 23868.5 + 20319.5i 1.29432 + 1.10187i
\(699\) −7570.05 3064.77i −0.409622 0.165838i
\(700\) −24331.1 + 46638.1i −1.31375 + 2.51822i
\(701\) −1377.41 6034.81i −0.0742139 0.325152i 0.924170 0.381981i \(-0.124758\pi\)
−0.998384 + 0.0568290i \(0.981901\pi\)
\(702\) 10620.1 28858.2i 0.570981 1.55154i
\(703\) −5072.09 987.789i −0.272116 0.0529945i
\(704\) 32389.7 40615.4i 1.73399 2.17436i
\(705\) −955.955 + 460.364i −0.0510686 + 0.0245933i
\(706\) 7628.18 + 8399.48i 0.406644 + 0.447760i
\(707\) 20597.8 17535.1i 1.09570 0.932781i
\(708\) −27146.6 + 9013.29i −1.44100 + 0.478446i
\(709\) 11266.5 + 7333.69i 0.596788 + 0.388466i 0.808180 0.588935i \(-0.200453\pi\)
−0.211392 + 0.977401i \(0.567800\pi\)
\(710\) −37819.4 32196.1i −1.99906 1.70183i
\(711\) −1525.86 + 6685.22i −0.0804840 + 0.352624i
\(712\) −6558.65 4269.21i −0.345219 0.224712i
\(713\) −4747.45 7831.42i −0.249360 0.411345i
\(714\) −52716.0 + 10266.4i −2.76309 + 0.538111i
\(715\) −45142.8 + 11837.8i −2.36118 + 0.619175i
\(716\) 3797.48 + 23488.8i 0.198210 + 1.22600i
\(717\) −5244.39 14250.7i −0.273160 0.742263i
\(718\) 29068.1 18921.3i 1.51088 0.983475i
\(719\) 13817.5 + 6654.15i 0.716697 + 0.345143i 0.756436 0.654067i \(-0.226939\pi\)
−0.0397399 + 0.999210i \(0.512653\pi\)
\(720\) 24.4521 + 30.6619i 0.00126566 + 0.00158709i
\(721\) 17288.2 + 33138.3i 0.892992 + 1.71170i
\(722\) 701.240 + 1005.28i 0.0361461 + 0.0518181i
\(723\) 15271.2 + 25191.5i 0.785537 + 1.29583i
\(724\) −46343.4 18762.4i −2.37892 0.963119i
\(725\) 17957.8 + 40567.0i 0.919911 + 2.07810i
\(726\) 49178.8 16328.5i 2.51404 0.834720i
\(727\) −7279.55 10435.8i −0.371367 0.532382i 0.590090 0.807337i \(-0.299092\pi\)
−0.961457 + 0.274955i \(0.911337\pi\)
\(728\) −4030.67 + 24931.1i −0.205201 + 1.26924i
\(729\) 18738.6 + 10553.4i 0.952021 + 0.536168i
\(730\) −67627.7 + 65493.7i −3.42878 + 3.32059i
\(731\) 18142.0 10217.4i 0.917928 0.516967i
\(732\) 5100.78 + 657.672i 0.257555 + 0.0332080i
\(733\) 4106.06 + 13834.7i 0.206904 + 0.697129i 0.996507 + 0.0835104i \(0.0266132\pi\)
−0.789603 + 0.613618i \(0.789713\pi\)
\(734\) −12029.8 3994.16i −0.604941 0.200854i
\(735\) −2083.02 21592.7i −0.104535 1.08362i
\(736\) −3040.45 + 18806.3i −0.152272 + 0.941859i
\(737\) −31771.4 + 6187.48i −1.58794 + 0.309252i
\(738\) −7488.34 + 14353.7i −0.373509 + 0.715947i
\(739\) −12260.9 + 1580.87i −0.610320 + 0.0786920i −0.426833 0.904330i \(-0.640371\pi\)
−0.183486 + 0.983022i \(0.558738\pi\)
\(740\) 10615.6 9037.22i 0.527349 0.448939i
\(741\) −7181.38 13765.4i −0.356025 0.682434i
\(742\) −1492.92 15475.7i −0.0738636 0.765674i
\(743\) −3258.78 2432.09i −0.160906 0.120087i 0.514636 0.857409i \(-0.327927\pi\)
−0.675542 + 0.737322i \(0.736090\pi\)
\(744\) 3463.00 7822.97i 0.170645 0.385489i
\(745\) 1755.45 5914.68i 0.0863283 0.290869i
\(746\) 12438.2 17831.0i 0.610447 0.875121i
\(747\) −5239.12 5073.81i −0.256612 0.248515i
\(748\) 80533.4 32604.4i 3.93662 1.59376i
\(749\) −8567.29 6393.94i −0.417947 0.311922i
\(750\) 10439.7 + 5879.53i 0.508272 + 0.286254i
\(751\) 36590.2 9595.07i 1.77789 0.466217i 0.788939 0.614471i \(-0.210631\pi\)
0.988949 + 0.148254i \(0.0473654\pi\)
\(752\) −0.918629 4.02478i −4.45465e−5 0.000195171i
\(753\) −10231.1 + 7635.66i −0.495142 + 0.369534i
\(754\) 37414.1 + 41197.1i 1.80708 + 1.98980i
\(755\) 905.050 + 1134.90i 0.0436267 + 0.0547061i
\(756\) −47425.5 15746.3i −2.28155 0.757525i
\(757\) −7779.09 + 3149.41i −0.373495 + 0.151211i −0.554320 0.832304i \(-0.687021\pi\)
0.180824 + 0.983515i \(0.442123\pi\)
\(758\) 976.471 10122.1i 0.0467903 0.485030i
\(759\) −19356.5 + 21313.6i −0.925686 + 1.01928i
\(760\) 31095.7 + 1996.41i 1.48416 + 0.0952860i
\(761\) 12982.0 + 3404.27i 0.618391 + 0.162161i 0.549542 0.835466i \(-0.314802\pi\)
0.0688487 + 0.997627i \(0.478067\pi\)
\(762\) −1341.05 + 13901.4i −0.0637546 + 0.660884i
\(763\) −23004.7 + 51968.1i −1.09152 + 2.46575i
\(764\) −40018.5 + 38755.8i −1.89505 + 1.83526i
\(765\) −2340.90 14479.3i −0.110635 0.684314i