Properties

Label 201.4.m.a.4.2
Level $201$
Weight $4$
Character 201.4
Analytic conductor $11.859$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,4,Mod(4,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.4");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 201.m (of order \(33\), degree \(20\), 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: \(11.8593839112\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 201.4
Dual form 201.4.m.a.151.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-4.56923 - 0.436309i) q^{2} +(2.52376 + 1.62192i) q^{3} +(12.8321 + 2.47318i) q^{4} +(0.0429643 + 0.298823i) q^{5} +(-10.8240 - 8.51208i) q^{6} +(4.15175 - 5.83032i) q^{7} +(-22.3209 - 6.55402i) q^{8} +(3.73874 + 8.18669i) q^{9} +O(q^{10})\) \(q+(-4.56923 - 0.436309i) q^{2} +(2.52376 + 1.62192i) q^{3} +(12.8321 + 2.47318i) q^{4} +(0.0429643 + 0.298823i) q^{5} +(-10.8240 - 8.51208i) q^{6} +(4.15175 - 5.83032i) q^{7} +(-22.3209 - 6.55402i) q^{8} +(3.73874 + 8.18669i) q^{9} +(-0.0659346 - 1.38414i) q^{10} +(8.13590 - 6.39814i) q^{11} +(28.3738 + 27.0543i) q^{12} +(19.5651 - 80.6483i) q^{13} +(-21.5141 + 24.8286i) q^{14} +(-0.376236 + 0.823843i) q^{15} +(2.07293 + 0.829877i) q^{16} +(-105.375 + 20.3093i) q^{17} +(-13.5112 - 39.0381i) q^{18} +(80.3673 + 112.860i) q^{19} +(-0.187722 + 3.94078i) q^{20} +(19.9343 - 7.98051i) q^{21} +(-39.9664 + 25.6848i) q^{22} +(-42.5380 + 21.9298i) q^{23} +(-45.7026 - 52.7436i) q^{24} +(119.849 - 35.1909i) q^{25} +(-124.585 + 359.964i) q^{26} +(-3.84250 + 26.7252i) q^{27} +(67.6950 - 64.5470i) q^{28} +(-33.0065 - 57.1690i) q^{29} +(2.07856 - 3.60017i) q^{30} +(-47.0907 - 194.111i) q^{31} +(156.308 + 80.5824i) q^{32} +(30.9103 - 2.95158i) q^{33} +(490.343 - 46.8221i) q^{34} +(1.92061 + 0.990143i) q^{35} +(27.7286 + 114.299i) q^{36} +(173.915 - 301.230i) q^{37} +(-317.975 - 550.749i) q^{38} +(180.183 - 171.804i) q^{39} +(0.999490 - 6.95160i) q^{40} +(146.785 - 424.108i) q^{41} +(-94.5666 + 27.7673i) q^{42} +(8.00452 + 9.23771i) q^{43} +(120.224 - 61.9799i) q^{44} +(-2.28574 + 1.46896i) q^{45} +(203.934 - 81.6428i) q^{46} +(3.44765 - 72.3751i) q^{47} +(3.88559 + 5.45655i) q^{48} +(95.4287 + 275.723i) q^{49} +(-562.973 + 108.504i) q^{50} +(-298.881 - 119.654i) q^{51} +(450.518 - 986.497i) q^{52} +(316.506 - 365.267i) q^{53} +(29.2177 - 120.437i) q^{54} +(2.26146 + 2.15630i) q^{55} +(-130.883 + 102.928i) q^{56} +(19.7775 + 415.181i) q^{57} +(125.871 + 275.619i) q^{58} +(736.039 + 216.120i) q^{59} +(-6.86540 + 9.64111i) q^{60} +(45.4439 + 35.7375i) q^{61} +(130.476 + 907.482i) q^{62} +(63.2533 + 12.1911i) q^{63} +(-694.076 - 446.056i) q^{64} +(24.9402 + 2.38150i) q^{65} -142.524 q^{66} +(407.617 - 366.894i) q^{67} -1402.41 q^{68} +(-142.924 - 13.6476i) q^{69} +(-8.34370 - 5.36217i) q^{70} +(-55.5894 - 10.7140i) q^{71} +(-29.7964 - 207.238i) q^{72} +(221.963 + 174.554i) q^{73} +(-926.089 + 1300.51i) q^{74} +(359.548 + 105.573i) q^{75} +(752.156 + 1646.99i) q^{76} +(-3.52498 - 73.9984i) q^{77} +(-898.257 + 706.397i) q^{78} +(-575.186 - 548.439i) q^{79} +(-0.158924 + 0.655095i) q^{80} +(-53.0437 + 61.2157i) q^{81} +(-855.737 + 1873.80i) q^{82} +(-111.049 - 44.4574i) q^{83} +(275.536 - 53.1053i) q^{84} +(-10.5963 - 30.6159i) q^{85} +(-32.5440 - 45.7017i) q^{86} +(9.42308 - 197.815i) q^{87} +(-223.534 + 89.4897i) q^{88} +(-307.253 + 197.460i) q^{89} +(11.0850 - 5.71471i) q^{90} +(-388.976 - 448.902i) q^{91} +(-600.087 + 176.201i) q^{92} +(195.987 - 566.266i) q^{93} +(-47.3310 + 329.194i) q^{94} +(-30.2723 + 28.8645i) q^{95} +(263.786 + 456.890i) q^{96} +(-485.391 + 840.723i) q^{97} +(-315.735 - 1301.48i) q^{98} +(82.7975 + 42.6851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q - 2 q^{2} - 96 q^{3} + 66 q^{4} - 4 q^{5} + 27 q^{6} + 14 q^{7} + 123 q^{8} - 288 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q - 2 q^{2} - 96 q^{3} + 66 q^{4} - 4 q^{5} + 27 q^{6} + 14 q^{7} + 123 q^{8} - 288 q^{9} + 35 q^{10} - 192 q^{11} + 33 q^{12} - 88 q^{13} - 214 q^{14} + 54 q^{15} + 298 q^{16} - 272 q^{17} - 18 q^{18} - 64 q^{19} - 164 q^{20} + 42 q^{21} + 473 q^{22} - 732 q^{23} - 324 q^{24} - 484 q^{25} - 353 q^{26} - 864 q^{27} + 4338 q^{28} + 1646 q^{29} + 666 q^{30} + 302 q^{31} + 910 q^{32} + 612 q^{33} - 138 q^{34} - 552 q^{35} + 99 q^{36} + 3388 q^{37} + 194 q^{38} - 264 q^{39} + 2003 q^{40} + 1152 q^{41} + 18 q^{42} - 2788 q^{43} - 2439 q^{44} - 36 q^{45} - 477 q^{46} - 512 q^{47} + 894 q^{48} + 5020 q^{49} - 4098 q^{50} - 90 q^{51} - 2992 q^{52} - 368 q^{53} - 54 q^{54} - 2492 q^{55} + 2775 q^{56} + 1194 q^{57} + 2088 q^{58} - 364 q^{59} - 8874 q^{60} + 14 q^{61} + 1762 q^{62} - 666 q^{63} - 10293 q^{64} + 5568 q^{65} - 4290 q^{66} - 1562 q^{67} + 4726 q^{68} - 1800 q^{69} - 2498 q^{70} + 6194 q^{71} - 2556 q^{72} - 2154 q^{73} + 3221 q^{74} - 1452 q^{75} - 8038 q^{76} + 1358 q^{77} + 1845 q^{78} + 4924 q^{79} - 2143 q^{80} - 2592 q^{81} + 5080 q^{82} + 2606 q^{83} + 243 q^{84} + 2786 q^{85} + 6437 q^{86} - 144 q^{87} - 2884 q^{88} + 3018 q^{89} + 315 q^{90} + 5506 q^{91} - 15636 q^{92} - 2526 q^{93} + 2358 q^{94} - 140 q^{95} + 1575 q^{96} + 2408 q^{97} - 7221 q^{98} - 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{33}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.56923 0.436309i −1.61547 0.154258i −0.752175 0.658963i \(-0.770995\pi\)
−0.863292 + 0.504705i \(0.831601\pi\)
\(3\) 2.52376 + 1.62192i 0.485698 + 0.312139i
\(4\) 12.8321 + 2.47318i 1.60401 + 0.309147i
\(5\) 0.0429643 + 0.298823i 0.00384284 + 0.0267275i 0.991653 0.128938i \(-0.0411569\pi\)
−0.987810 + 0.155666i \(0.950248\pi\)
\(6\) −10.8240 8.51208i −0.736479 0.579173i
\(7\) 4.15175 5.83032i 0.224173 0.314808i −0.687137 0.726528i \(-0.741133\pi\)
0.911310 + 0.411721i \(0.135072\pi\)
\(8\) −22.3209 6.55402i −0.986456 0.289650i
\(9\) 3.73874 + 8.18669i 0.138472 + 0.303211i
\(10\) −0.0659346 1.38414i −0.00208503 0.0437703i
\(11\) 8.13590 6.39814i 0.223006 0.175374i −0.500405 0.865791i \(-0.666816\pi\)
0.723411 + 0.690418i \(0.242573\pi\)
\(12\) 28.3738 + 27.0543i 0.682567 + 0.650826i
\(13\) 19.5651 80.6483i 0.417413 1.72060i −0.243289 0.969954i \(-0.578226\pi\)
0.660702 0.750648i \(-0.270259\pi\)
\(14\) −21.5141 + 24.8286i −0.410707 + 0.473981i
\(15\) −0.376236 + 0.823843i −0.00647625 + 0.0141810i
\(16\) 2.07293 + 0.829877i 0.0323896 + 0.0129668i
\(17\) −105.375 + 20.3093i −1.50336 + 0.289749i −0.873449 0.486916i \(-0.838122\pi\)
−0.629914 + 0.776665i \(0.716910\pi\)
\(18\) −13.5112 39.0381i −0.176924 0.511187i
\(19\) 80.3673 + 112.860i 0.970396 + 1.36273i 0.931601 + 0.363483i \(0.118412\pi\)
0.0387948 + 0.999247i \(0.487648\pi\)
\(20\) −0.187722 + 3.94078i −0.00209880 + 0.0440592i
\(21\) 19.9343 7.98051i 0.207144 0.0829281i
\(22\) −39.9664 + 25.6848i −0.387312 + 0.248910i
\(23\) −42.5380 + 21.9298i −0.385643 + 0.198813i −0.640135 0.768262i \(-0.721122\pi\)
0.254493 + 0.967075i \(0.418091\pi\)
\(24\) −45.7026 52.7436i −0.388709 0.448594i
\(25\) 119.849 35.1909i 0.958793 0.281527i
\(26\) −124.585 + 359.964i −0.939735 + 2.71519i
\(27\) −3.84250 + 26.7252i −0.0273885 + 0.190491i
\(28\) 67.6950 64.5470i 0.456898 0.435652i
\(29\) −33.0065 57.1690i −0.211350 0.366069i 0.740787 0.671740i \(-0.234453\pi\)
−0.952137 + 0.305671i \(0.901119\pi\)
\(30\) 2.07856 3.60017i 0.0126497 0.0219099i
\(31\) −47.0907 194.111i −0.272830 1.12462i −0.929021 0.370027i \(-0.879348\pi\)
0.656191 0.754595i \(-0.272167\pi\)
\(32\) 156.308 + 80.5824i 0.863489 + 0.445159i
\(33\) 30.9103 2.95158i 0.163055 0.0155698i
\(34\) 490.343 46.8221i 2.47333 0.236174i
\(35\) 1.92061 + 0.990143i 0.00927550 + 0.00478185i
\(36\) 27.7286 + 114.299i 0.128373 + 0.529161i
\(37\) 173.915 301.230i 0.772743 1.33843i −0.163311 0.986575i \(-0.552217\pi\)
0.936054 0.351856i \(-0.114449\pi\)
\(38\) −317.975 550.749i −1.35743 2.35114i
\(39\) 180.183 171.804i 0.739804 0.705402i
\(40\) 0.999490 6.95160i 0.00395083 0.0274786i
\(41\) 146.785 424.108i 0.559122 1.61548i −0.210935 0.977500i \(-0.567651\pi\)
0.770056 0.637976i \(-0.220228\pi\)
\(42\) −94.5666 + 27.7673i −0.347427 + 0.102014i
\(43\) 8.00452 + 9.23771i 0.0283879 + 0.0327614i 0.769766 0.638326i \(-0.220373\pi\)
−0.741378 + 0.671088i \(0.765827\pi\)
\(44\) 120.224 61.9799i 0.411920 0.212360i
\(45\) −2.28574 + 1.46896i −0.00757195 + 0.00486620i
\(46\) 203.934 81.6428i 0.653661 0.261687i
\(47\) 3.44765 72.3751i 0.0106998 0.224617i −0.987184 0.159589i \(-0.948983\pi\)
0.997883 0.0650282i \(-0.0207137\pi\)
\(48\) 3.88559 + 5.45655i 0.0116841 + 0.0164080i
\(49\) 95.4287 + 275.723i 0.278218 + 0.803858i
\(50\) −562.973 + 108.504i −1.59233 + 0.306896i
\(51\) −298.881 119.654i −0.820622 0.328528i
\(52\) 450.518 986.497i 1.20145 2.63082i
\(53\) 316.506 365.267i 0.820290 0.946666i −0.179018 0.983846i \(-0.557292\pi\)
0.999309 + 0.0371801i \(0.0118375\pi\)
\(54\) 29.2177 120.437i 0.0736301 0.303507i
\(55\) 2.26146 + 2.15630i 0.00554429 + 0.00528647i
\(56\) −130.883 + 102.928i −0.312321 + 0.245612i
\(57\) 19.7775 + 415.181i 0.0459578 + 0.964774i
\(58\) 125.871 + 275.619i 0.284960 + 0.623975i
\(59\) 736.039 + 216.120i 1.62414 + 0.476890i 0.962126 0.272605i \(-0.0878852\pi\)
0.662011 + 0.749495i \(0.269703\pi\)
\(60\) −6.86540 + 9.64111i −0.0147720 + 0.0207444i
\(61\) 45.4439 + 35.7375i 0.0953852 + 0.0750118i 0.664713 0.747099i \(-0.268554\pi\)
−0.569328 + 0.822111i \(0.692796\pi\)
\(62\) 130.476 + 907.482i 0.267266 + 1.85888i
\(63\) 63.2533 + 12.1911i 0.126495 + 0.0243799i
\(64\) −694.076 446.056i −1.35562 0.871203i
\(65\) 24.9402 + 2.38150i 0.0475915 + 0.00454444i
\(66\) −142.524 −0.265811
\(67\) 407.617 366.894i 0.743259 0.669003i
\(68\) −1402.41 −2.50098
\(69\) −142.924 13.6476i −0.249363 0.0238113i
\(70\) −8.34370 5.36217i −0.0142466 0.00915575i
\(71\) −55.5894 10.7140i −0.0929189 0.0179087i 0.142580 0.989783i \(-0.454460\pi\)
−0.235499 + 0.971875i \(0.575672\pi\)
\(72\) −29.7964 207.238i −0.0487713 0.339212i
\(73\) 221.963 + 174.554i 0.355874 + 0.279863i 0.780050 0.625717i \(-0.215194\pi\)
−0.424175 + 0.905580i \(0.639436\pi\)
\(74\) −926.089 + 1300.51i −1.45481 + 2.04299i
\(75\) 359.548 + 105.573i 0.553560 + 0.162540i
\(76\) 752.156 + 1646.99i 1.13524 + 2.48583i
\(77\) −3.52498 73.9984i −0.00521699 0.109518i
\(78\) −898.257 + 706.397i −1.30394 + 1.02543i
\(79\) −575.186 548.439i −0.819159 0.781066i 0.159361 0.987220i \(-0.449057\pi\)
−0.978519 + 0.206154i \(0.933905\pi\)
\(80\) −0.158924 + 0.655095i −0.000222104 + 0.000915524i
\(81\) −53.0437 + 61.2157i −0.0727623 + 0.0839722i
\(82\) −855.737 + 1873.80i −1.15244 + 2.52350i
\(83\) −111.049 44.4574i −0.146858 0.0587932i 0.297069 0.954856i \(-0.403991\pi\)
−0.443927 + 0.896063i \(0.646415\pi\)
\(84\) 275.536 53.1053i 0.357898 0.0689793i
\(85\) −10.5963 30.6159i −0.0135215 0.0390677i
\(86\) −32.5440 45.7017i −0.0408060 0.0573040i
\(87\) 9.42308 197.815i 0.0116122 0.243770i
\(88\) −223.534 + 89.4897i −0.270782 + 0.108405i
\(89\) −307.253 + 197.460i −0.365941 + 0.235176i −0.710669 0.703527i \(-0.751608\pi\)
0.344728 + 0.938703i \(0.387971\pi\)
\(90\) 11.0850 5.71471i 0.0129829 0.00669315i
\(91\) −388.976 448.902i −0.448085 0.517118i
\(92\) −600.087 + 176.201i −0.680037 + 0.199677i
\(93\) 195.987 566.266i 0.218525 0.631388i
\(94\) −47.3310 + 329.194i −0.0519342 + 0.361211i
\(95\) −30.2723 + 28.8645i −0.0326934 + 0.0311731i
\(96\) 263.786 + 456.890i 0.280443 + 0.485742i
\(97\) −485.391 + 840.723i −0.508083 + 0.880025i 0.491873 + 0.870667i \(0.336312\pi\)
−0.999956 + 0.00935843i \(0.997021\pi\)
\(98\) −315.735 1301.48i −0.325450 1.34152i
\(99\) 82.7975 + 42.6851i 0.0840552 + 0.0433335i
\(100\) 1624.95 155.164i 1.62495 0.155164i
\(101\) −765.381 + 73.0850i −0.754042 + 0.0720023i −0.464996 0.885313i \(-0.653944\pi\)
−0.289046 + 0.957315i \(0.593338\pi\)
\(102\) 1313.45 + 677.131i 1.27501 + 0.657313i
\(103\) −150.220 619.215i −0.143705 0.592360i −0.997431 0.0716371i \(-0.977178\pi\)
0.853726 0.520723i \(-0.174338\pi\)
\(104\) −965.282 + 1671.92i −0.910131 + 1.57639i
\(105\) 3.24122 + 5.61397i 0.00301249 + 0.00521778i
\(106\) −1605.56 + 1530.89i −1.47118 + 1.40277i
\(107\) −68.3300 + 475.246i −0.0617356 + 0.429381i 0.935390 + 0.353617i \(0.115048\pi\)
−0.997126 + 0.0757634i \(0.975861\pi\)
\(108\) −115.403 + 333.436i −0.102821 + 0.297083i
\(109\) 564.471 165.744i 0.496023 0.145645i −0.0241468 0.999708i \(-0.507687\pi\)
0.520170 + 0.854063i \(0.325869\pi\)
\(110\) −9.39234 10.8393i −0.00814113 0.00939537i
\(111\) 927.493 478.156i 0.793097 0.408870i
\(112\) 13.4447 8.64042i 0.0113429 0.00728967i
\(113\) 2229.50 892.558i 1.85605 0.743051i 0.917936 0.396728i \(-0.129854\pi\)
0.938115 0.346323i \(-0.112570\pi\)
\(114\) 90.7791 1905.69i 0.0745811 1.56565i
\(115\) −8.38076 11.7691i −0.00679573 0.00954327i
\(116\) −282.153 815.227i −0.225838 0.652517i
\(117\) 733.391 141.350i 0.579505 0.111690i
\(118\) −3268.83 1308.64i −2.55017 1.02094i
\(119\) −319.080 + 698.688i −0.245799 + 0.538224i
\(120\) 13.7974 15.9231i 0.0104961 0.0121131i
\(121\) −288.539 + 1189.37i −0.216783 + 0.893593i
\(122\) −192.051 183.120i −0.142520 0.135893i
\(123\) 1058.32 832.273i 0.775818 0.610110i
\(124\) −124.201 2607.31i −0.0899484 1.88825i
\(125\) 31.3416 + 68.6285i 0.0224262 + 0.0491066i
\(126\) −283.700 83.3018i −0.200587 0.0588977i
\(127\) 428.882 602.281i 0.299662 0.420817i −0.637101 0.770780i \(-0.719867\pi\)
0.936763 + 0.349963i \(0.113806\pi\)
\(128\) 1870.91 + 1471.30i 1.29193 + 1.01598i
\(129\) 5.21865 + 36.2965i 0.00356183 + 0.0247731i
\(130\) −112.918 21.7632i −0.0761815 0.0146828i
\(131\) 1076.56 + 691.862i 0.718010 + 0.461437i 0.847944 0.530085i \(-0.177840\pi\)
−0.129934 + 0.991523i \(0.541477\pi\)
\(132\) 403.944 + 38.5719i 0.266354 + 0.0254338i
\(133\) 991.675 0.646535
\(134\) −2022.58 + 1498.58i −1.30391 + 0.966099i
\(135\) −8.15119 −0.00519661
\(136\) 2485.18 + 237.305i 1.56693 + 0.149623i
\(137\) −1721.25 1106.18i −1.07340 0.689833i −0.120378 0.992728i \(-0.538411\pi\)
−0.953024 + 0.302895i \(0.902047\pi\)
\(138\) 647.099 + 124.718i 0.399165 + 0.0769327i
\(139\) 201.291 + 1400.01i 0.122829 + 0.854295i 0.954326 + 0.298766i \(0.0965751\pi\)
−0.831497 + 0.555529i \(0.812516\pi\)
\(140\) 22.1966 + 17.4556i 0.0133997 + 0.0105376i
\(141\) 126.088 177.066i 0.0753086 0.105756i
\(142\) 249.326 + 73.2087i 0.147345 + 0.0432644i
\(143\) −356.820 781.327i −0.208663 0.456908i
\(144\) 0.956202 + 20.0731i 0.000553358 + 0.0116164i
\(145\) 15.6653 12.3193i 0.00897195 0.00705562i
\(146\) −938.042 894.421i −0.531732 0.507006i
\(147\) −206.362 + 850.637i −0.115786 + 0.477275i
\(148\) 2976.69 3435.28i 1.65326 1.90796i
\(149\) −63.4123 + 138.854i −0.0348653 + 0.0763445i −0.926263 0.376877i \(-0.876998\pi\)
0.891398 + 0.453221i \(0.149725\pi\)
\(150\) −1596.79 639.260i −0.869184 0.347969i
\(151\) −3069.14 + 591.529i −1.65406 + 0.318794i −0.929054 0.369945i \(-0.879376\pi\)
−0.725009 + 0.688740i \(0.758164\pi\)
\(152\) −1054.19 3045.87i −0.562538 1.62535i
\(153\) −560.235 786.740i −0.296028 0.415714i
\(154\) −16.1797 + 339.654i −0.00846621 + 0.177728i
\(155\) 55.9815 22.4116i 0.0290100 0.0116138i
\(156\) 2737.02 1758.98i 1.40473 0.902762i
\(157\) −146.392 + 75.4704i −0.0744163 + 0.0383643i −0.495033 0.868874i \(-0.664844\pi\)
0.420617 + 0.907238i \(0.361814\pi\)
\(158\) 2388.87 + 2756.90i 1.20284 + 1.38815i
\(159\) 1391.22 408.499i 0.693905 0.203749i
\(160\) −17.3642 + 50.1706i −0.00857977 + 0.0247896i
\(161\) −48.7490 + 339.057i −0.0238631 + 0.165972i
\(162\) 269.078 256.565i 0.130499 0.124430i
\(163\) 984.546 + 1705.28i 0.473102 + 0.819436i 0.999526 0.0307857i \(-0.00980094\pi\)
−0.526424 + 0.850222i \(0.676468\pi\)
\(164\) 2932.45 5079.16i 1.39626 2.41839i
\(165\) 2.21004 + 9.10991i 0.00104274 + 0.00429822i
\(166\) 488.013 + 251.588i 0.228175 + 0.117633i
\(167\) −1906.60 + 182.058i −0.883457 + 0.0843599i −0.526914 0.849919i \(-0.676651\pi\)
−0.356543 + 0.934279i \(0.616045\pi\)
\(168\) −497.258 + 47.4824i −0.228359 + 0.0218056i
\(169\) −4168.59 2149.06i −1.89740 0.978178i
\(170\) 35.0588 + 144.514i 0.0158170 + 0.0651984i
\(171\) −623.478 + 1079.90i −0.278822 + 0.482934i
\(172\) 79.8681 + 138.336i 0.0354063 + 0.0613256i
\(173\) 2715.46 2589.19i 1.19337 1.13788i 0.206148 0.978521i \(-0.433907\pi\)
0.987221 0.159355i \(-0.0509413\pi\)
\(174\) −129.365 + 899.750i −0.0563626 + 0.392011i
\(175\) 292.410 844.863i 0.126309 0.364946i
\(176\) 22.1748 6.51112i 0.00949711 0.00278860i
\(177\) 1507.05 + 1739.23i 0.639984 + 0.738581i
\(178\) 1490.06 768.182i 0.627444 0.323470i
\(179\) 1862.99 1197.27i 0.777911 0.499933i −0.0904287 0.995903i \(-0.528824\pi\)
0.868340 + 0.495970i \(0.165187\pi\)
\(180\) −32.9638 + 13.1967i −0.0136499 + 0.00546458i
\(181\) 77.5744 1628.49i 0.0318567 0.668754i −0.925309 0.379214i \(-0.876195\pi\)
0.957166 0.289540i \(-0.0935024\pi\)
\(182\) 1581.46 + 2220.85i 0.644097 + 0.904508i
\(183\) 56.7261 + 163.899i 0.0229143 + 0.0662065i
\(184\) 1093.22 210.700i 0.438005 0.0844186i
\(185\) 97.4867 + 39.0278i 0.0387425 + 0.0155102i
\(186\) −1142.57 + 2501.89i −0.450417 + 0.986277i
\(187\) −727.377 + 839.438i −0.284444 + 0.328266i
\(188\) 223.237 920.196i 0.0866023 0.356980i
\(189\) 139.863 + 133.359i 0.0538283 + 0.0513252i
\(190\) 150.915 118.681i 0.0576237 0.0453158i
\(191\) 132.950 + 2790.97i 0.0503662 + 1.05732i 0.872683 + 0.488287i \(0.162378\pi\)
−0.822317 + 0.569030i \(0.807319\pi\)
\(192\) −1028.21 2251.48i −0.386484 0.846283i
\(193\) −958.854 281.545i −0.357616 0.105005i 0.0979893 0.995187i \(-0.468759\pi\)
−0.455605 + 0.890182i \(0.650577\pi\)
\(194\) 2584.68 3629.67i 0.956542 1.34328i
\(195\) 59.0804 + 46.4614i 0.0216966 + 0.0170624i
\(196\) 542.636 + 3774.11i 0.197753 + 1.37541i
\(197\) −3122.64 601.840i −1.12933 0.217661i −0.409839 0.912158i \(-0.634415\pi\)
−0.719496 + 0.694497i \(0.755627\pi\)
\(198\) −359.697 231.163i −0.129104 0.0829700i
\(199\) −1906.06 182.007i −0.678981 0.0648348i −0.250133 0.968212i \(-0.580474\pi\)
−0.428848 + 0.903377i \(0.641080\pi\)
\(200\) −2905.79 −1.02735
\(201\) 1623.80 264.829i 0.569822 0.0929332i
\(202\) 3529.09 1.22924
\(203\) −470.348 44.9128i −0.162621 0.0155284i
\(204\) −3539.34 2274.60i −1.21472 0.780655i
\(205\) 133.040 + 25.6413i 0.0453263 + 0.00873593i
\(206\) 416.221 + 2894.88i 0.140774 + 0.979106i
\(207\) −338.571 266.255i −0.113683 0.0894010i
\(208\) 107.485 150.942i 0.0358306 0.0503170i
\(209\) 1375.95 + 404.017i 0.455391 + 0.133715i
\(210\) −12.3605 27.0657i −0.00406169 0.00889385i
\(211\) 193.229 + 4056.38i 0.0630447 + 1.32347i 0.779748 + 0.626093i \(0.215347\pi\)
−0.716704 + 0.697378i \(0.754350\pi\)
\(212\) 4964.79 3904.36i 1.60841 1.26487i
\(213\) −122.917 117.201i −0.0395405 0.0377018i
\(214\) 519.569 2141.69i 0.165967 0.684127i
\(215\) −2.41653 + 2.78883i −0.000766541 + 0.000884635i
\(216\) 260.926 571.347i 0.0821932 0.179978i
\(217\) −1327.24 531.345i −0.415201 0.166221i
\(218\) −2651.51 + 511.037i −0.823776 + 0.158770i
\(219\) 277.069 + 800.539i 0.0854914 + 0.247011i
\(220\) 23.6864 + 33.2628i 0.00725879 + 0.0101935i
\(221\) −423.753 + 8895.66i −0.128980 + 2.70763i
\(222\) −4446.55 + 1780.13i −1.34429 + 0.538174i
\(223\) −953.915 + 613.044i −0.286452 + 0.184092i −0.675974 0.736926i \(-0.736277\pi\)
0.389521 + 0.921017i \(0.372640\pi\)
\(224\) 1118.77 576.768i 0.333711 0.172040i
\(225\) 736.181 + 849.598i 0.218128 + 0.251733i
\(226\) −10576.5 + 3105.55i −3.11301 + 0.914063i
\(227\) 938.018 2710.22i 0.274266 0.792440i −0.720792 0.693151i \(-0.756222\pi\)
0.995059 0.0992892i \(-0.0316569\pi\)
\(228\) −773.031 + 5376.55i −0.224541 + 1.56171i
\(229\) −3214.83 + 3065.34i −0.927695 + 0.884556i −0.993564 0.113272i \(-0.963867\pi\)
0.0658685 + 0.997828i \(0.479018\pi\)
\(230\) 33.1586 + 57.4324i 0.00950616 + 0.0164651i
\(231\) 111.123 192.471i 0.0316510 0.0548212i
\(232\) 362.050 + 1492.39i 0.102456 + 0.422329i
\(233\) −3317.78 1710.44i −0.932855 0.480920i −0.0763627 0.997080i \(-0.524331\pi\)
−0.856492 + 0.516160i \(0.827361\pi\)
\(234\) −3412.71 + 325.874i −0.953400 + 0.0910387i
\(235\) 21.7755 2.07931i 0.00604458 0.000577187i
\(236\) 8910.40 + 4593.63i 2.45770 + 1.26703i
\(237\) −562.107 2317.04i −0.154062 0.635054i
\(238\) 1762.80 3053.25i 0.480105 0.831567i
\(239\) 280.466 + 485.781i 0.0759072 + 0.131475i 0.901480 0.432820i \(-0.142481\pi\)
−0.825573 + 0.564295i \(0.809148\pi\)
\(240\) −1.46360 + 1.39554i −0.000393646 + 0.000375341i
\(241\) −446.335 + 3104.33i −0.119299 + 0.829741i 0.839032 + 0.544081i \(0.183122\pi\)
−0.958331 + 0.285660i \(0.907787\pi\)
\(242\) 1837.33 5308.62i 0.488050 1.41013i
\(243\) −233.157 + 68.4610i −0.0615515 + 0.0180732i
\(244\) 494.755 + 570.977i 0.129809 + 0.149808i
\(245\) −78.2924 + 40.3626i −0.0204160 + 0.0105252i
\(246\) −5198.84 + 3341.09i −1.34742 + 0.865936i
\(247\) 10674.4 4273.37i 2.74977 1.10084i
\(248\) −221.095 + 4641.37i −0.0566112 + 1.18842i
\(249\) −208.155 292.313i −0.0529771 0.0743960i
\(250\) −113.264 327.254i −0.0286537 0.0827895i
\(251\) 5295.46 1020.62i 1.33166 0.256656i 0.526732 0.850031i \(-0.323417\pi\)
0.804926 + 0.593375i \(0.202205\pi\)
\(252\) 781.520 + 312.873i 0.195362 + 0.0782110i
\(253\) −205.774 + 450.583i −0.0511341 + 0.111968i
\(254\) −2222.44 + 2564.83i −0.549009 + 0.633591i
\(255\) 22.9142 94.4534i 0.00562722 0.0231957i
\(256\) −3129.75 2984.21i −0.764100 0.728568i
\(257\) 1119.97 880.756i 0.271836 0.213775i −0.472930 0.881100i \(-0.656804\pi\)
0.744766 + 0.667326i \(0.232561\pi\)
\(258\) −8.00873 168.124i −0.00193257 0.0405695i
\(259\) −1034.21 2264.61i −0.248120 0.543306i
\(260\) 314.144 + 92.2411i 0.0749323 + 0.0220021i
\(261\) 344.622 483.954i 0.0817301 0.114774i
\(262\) −4617.18 3630.99i −1.08874 0.856196i
\(263\) −675.293 4696.76i −0.158328 1.10120i −0.901714 0.432334i \(-0.857690\pi\)
0.743385 0.668863i \(-0.233219\pi\)
\(264\) −709.293 136.705i −0.165356 0.0318697i
\(265\) 122.749 + 78.8858i 0.0284543 + 0.0182865i
\(266\) −4531.19 432.676i −1.04446 0.0997334i
\(267\) −1095.70 −0.251145
\(268\) 6137.97 3699.90i 1.39902 0.843311i
\(269\) −7823.58 −1.77328 −0.886640 0.462460i \(-0.846967\pi\)
−0.886640 + 0.462460i \(0.846967\pi\)
\(270\) 37.2447 + 3.55643i 0.00839496 + 0.000801621i
\(271\) 571.865 + 367.515i 0.128186 + 0.0823800i 0.603162 0.797618i \(-0.293907\pi\)
−0.474977 + 0.879998i \(0.657543\pi\)
\(272\) −235.289 45.3483i −0.0524504 0.0101090i
\(273\) −253.598 1763.81i −0.0562214 0.391028i
\(274\) 7382.14 + 5805.38i 1.62763 + 1.27998i
\(275\) 749.924 1053.12i 0.164444 0.230929i
\(276\) −1800.26 528.604i −0.392619 0.115283i
\(277\) −1285.51 2814.87i −0.278840 0.610574i 0.717453 0.696607i \(-0.245308\pi\)
−0.996292 + 0.0860336i \(0.972581\pi\)
\(278\) −308.908 6484.78i −0.0666441 1.39903i
\(279\) 1413.06 1111.25i 0.303218 0.238453i
\(280\) −36.3804 34.6887i −0.00776481 0.00740373i
\(281\) −851.400 + 3509.52i −0.180748 + 0.745055i 0.807201 + 0.590277i \(0.200981\pi\)
−0.987949 + 0.154778i \(0.950534\pi\)
\(282\) −653.380 + 754.040i −0.137972 + 0.159229i
\(283\) −1736.26 + 3801.87i −0.364699 + 0.798579i 0.634962 + 0.772543i \(0.281016\pi\)
−0.999661 + 0.0260356i \(0.991712\pi\)
\(284\) −686.829 274.965i −0.143506 0.0574513i
\(285\) −123.216 + 23.7479i −0.0256094 + 0.00493581i
\(286\) 1289.49 + 3725.75i 0.266606 + 0.770307i
\(287\) −1863.27 2616.59i −0.383224 0.538163i
\(288\) −75.3086 + 1580.92i −0.0154083 + 0.323461i
\(289\) 6130.33 2454.21i 1.24778 0.499535i
\(290\) −76.9534 + 49.4550i −0.0155823 + 0.0100141i
\(291\) −2588.60 + 1334.52i −0.521465 + 0.268834i
\(292\) 2416.55 + 2788.84i 0.484307 + 0.558920i
\(293\) −6126.62 + 1798.94i −1.22157 + 0.358686i −0.828064 0.560634i \(-0.810557\pi\)
−0.393510 + 0.919320i \(0.628739\pi\)
\(294\) 1314.06 3796.72i 0.260671 0.753161i
\(295\) −32.9584 + 229.231i −0.00650479 + 0.0452418i
\(296\) −5856.22 + 5583.90i −1.14995 + 1.09648i
\(297\) 139.729 + 242.018i 0.0272994 + 0.0472839i
\(298\) 350.328 606.786i 0.0681006 0.117954i
\(299\) 936.347 + 3859.67i 0.181105 + 0.746524i
\(300\) 4352.64 + 2243.94i 0.837666 + 0.431847i
\(301\) 87.0916 8.31624i 0.0166773 0.00159249i
\(302\) 14281.7 1363.74i 2.72126 0.259849i
\(303\) −2050.18 1056.94i −0.388711 0.200395i
\(304\) 72.9360 + 300.646i 0.0137604 + 0.0567212i
\(305\) −8.72672 + 15.1151i −0.00163833 + 0.00283767i
\(306\) 2216.58 + 3839.23i 0.414097 + 0.717236i
\(307\) 6252.14 5961.41i 1.16231 1.10826i 0.169876 0.985465i \(-0.445663\pi\)
0.992432 0.122793i \(-0.0391852\pi\)
\(308\) 137.778 958.270i 0.0254891 0.177281i
\(309\) 625.200 1806.40i 0.115102 0.332564i
\(310\) −265.571 + 77.9786i −0.0486562 + 0.0142867i
\(311\) 5087.63 + 5871.44i 0.927631 + 1.07054i 0.997334 + 0.0729754i \(0.0232495\pi\)
−0.0697028 + 0.997568i \(0.522205\pi\)
\(312\) −5147.86 + 2653.91i −0.934103 + 0.481564i
\(313\) 2762.41 1775.29i 0.498852 0.320593i −0.266905 0.963723i \(-0.586001\pi\)
0.765757 + 0.643130i \(0.222365\pi\)
\(314\) 701.828 280.970i 0.126135 0.0504969i
\(315\) −0.925342 + 19.4253i −0.000165515 + 0.00347458i
\(316\) −6024.45 8460.15i −1.07247 1.50608i
\(317\) 2258.01 + 6524.10i 0.400072 + 1.15593i 0.947687 + 0.319201i \(0.103414\pi\)
−0.547616 + 0.836730i \(0.684464\pi\)
\(318\) −6535.03 + 1259.52i −1.15241 + 0.222109i
\(319\) −634.313 253.941i −0.111331 0.0445703i
\(320\) 103.471 226.571i 0.0180757 0.0395802i
\(321\) −943.260 + 1088.58i −0.164011 + 0.189279i
\(322\) 370.679 1527.96i 0.0641526 0.264441i
\(323\) −10760.8 10260.4i −1.85371 1.76751i
\(324\) −832.058 + 654.338i −0.142671 + 0.112198i
\(325\) −493.229 10354.1i −0.0841828 1.76721i
\(326\) −3754.59 8221.40i −0.637875 1.39675i
\(327\) 1693.41 + 497.231i 0.286379 + 0.0840884i
\(328\) −6056.00 + 8504.46i −1.01947 + 1.43165i
\(329\) −407.656 320.584i −0.0683125 0.0537215i
\(330\) −6.12345 42.5895i −0.00102147 0.00710448i
\(331\) 3547.40 + 683.705i 0.589072 + 0.113534i 0.475073 0.879947i \(-0.342422\pi\)
0.113999 + 0.993481i \(0.463634\pi\)
\(332\) −1315.04 845.126i −0.217386 0.139706i
\(333\) 3116.30 + 297.571i 0.512830 + 0.0489693i
\(334\) 8791.14 1.44021
\(335\) 127.149 + 106.042i 0.0207370 + 0.0172946i
\(336\) 47.9454 0.00778463
\(337\) −7812.88 746.039i −1.26289 0.120592i −0.557961 0.829867i \(-0.688416\pi\)
−0.704931 + 0.709276i \(0.749022\pi\)
\(338\) 18109.6 + 11638.3i 2.91430 + 1.87290i
\(339\) 7074.39 + 1363.48i 1.13342 + 0.218448i
\(340\) −60.2534 419.072i −0.00961088 0.0668451i
\(341\) −1625.07 1277.97i −0.258072 0.202950i
\(342\) 3319.98 4662.26i 0.524924 0.737153i
\(343\) 4359.32 + 1280.01i 0.686243 + 0.201499i
\(344\) −118.124 258.656i −0.0185141 0.0405402i
\(345\) −2.06241 43.2954i −0.000321845 0.00675636i
\(346\) −13537.3 + 10645.8i −2.10338 + 1.65411i
\(347\) −6926.70 6604.60i −1.07160 1.02177i −0.999703 0.0243553i \(-0.992247\pi\)
−0.0718955 0.997412i \(-0.522905\pi\)
\(348\) 610.149 2515.07i 0.0939869 0.387419i
\(349\) 202.791 234.034i 0.0311036 0.0358955i −0.739985 0.672624i \(-0.765167\pi\)
0.771088 + 0.636728i \(0.219713\pi\)
\(350\) −1704.71 + 3732.79i −0.260344 + 0.570075i
\(351\) 2080.16 + 832.771i 0.316327 + 0.126638i
\(352\) 1787.28 344.471i 0.270632 0.0521601i
\(353\) 1689.29 + 4880.89i 0.254708 + 0.735930i 0.997772 + 0.0667104i \(0.0212504\pi\)
−0.743064 + 0.669220i \(0.766628\pi\)
\(354\) −6127.24 8604.50i −0.919941 1.29188i
\(355\) 0.813225 17.0717i 0.000121582 0.00255232i
\(356\) −4431.05 + 1773.93i −0.659678 + 0.264095i
\(357\) −1938.50 + 1245.80i −0.287385 + 0.184691i
\(358\) −9034.79 + 4657.76i −1.33381 + 0.687626i
\(359\) −591.068 682.128i −0.0868951 0.100282i 0.710637 0.703559i \(-0.248407\pi\)
−0.797532 + 0.603277i \(0.793861\pi\)
\(360\) 60.6474 17.8077i 0.00887889 0.00260708i
\(361\) −4035.13 + 11658.7i −0.588297 + 1.69977i
\(362\) −1064.98 + 7407.09i −0.154624 + 1.07544i
\(363\) −2657.27 + 2533.70i −0.384216 + 0.366350i
\(364\) −3881.15 6722.36i −0.558867 0.967987i
\(365\) −42.6242 + 73.8273i −0.00611248 + 0.0105871i
\(366\) −187.684 773.644i −0.0268044 0.110489i
\(367\) 992.476 + 511.657i 0.141163 + 0.0727746i 0.527361 0.849641i \(-0.323182\pi\)
−0.386198 + 0.922416i \(0.626212\pi\)
\(368\) −106.377 + 10.1578i −0.0150688 + 0.00143889i
\(369\) 4020.83 383.943i 0.567252 0.0541660i
\(370\) −428.411 220.861i −0.0601947 0.0310325i
\(371\) −815.570 3361.83i −0.114130 0.470451i
\(372\) 3915.39 6781.66i 0.545709 0.945195i
\(373\) 5435.85 + 9415.17i 0.754578 + 1.30697i 0.945584 + 0.325378i \(0.105492\pi\)
−0.191006 + 0.981589i \(0.561175\pi\)
\(374\) 3689.81 3518.23i 0.510148 0.486425i
\(375\) −32.2115 + 224.036i −0.00443571 + 0.0308511i
\(376\) −551.303 + 1592.88i −0.0756151 + 0.218475i
\(377\) −5256.36 + 1543.41i −0.718080 + 0.210847i
\(378\) −580.881 670.373i −0.0790405 0.0912176i
\(379\) −11247.5 + 5798.50i −1.52440 + 0.785882i −0.997930 0.0643135i \(-0.979514\pi\)
−0.526468 + 0.850195i \(0.676484\pi\)
\(380\) −459.843 + 295.523i −0.0620775 + 0.0398948i
\(381\) 2059.25 824.399i 0.276899 0.110854i
\(382\) 610.244 12810.6i 0.0817351 1.71583i
\(383\) 6313.70 + 8866.35i 0.842337 + 1.18290i 0.981278 + 0.192596i \(0.0616906\pi\)
−0.138941 + 0.990301i \(0.544370\pi\)
\(384\) 2335.40 + 6747.69i 0.310359 + 0.896723i
\(385\) 21.9610 4.23263i 0.00290710 0.000560298i
\(386\) 4258.39 + 1704.80i 0.561519 + 0.224798i
\(387\) −45.6995 + 100.068i −0.00600267 + 0.0131440i
\(388\) −8307.84 + 9587.75i −1.08703 + 1.25450i
\(389\) −279.148 + 1150.66i −0.0363840 + 0.149977i −0.987106 0.160068i \(-0.948829\pi\)
0.950722 + 0.310044i \(0.100344\pi\)
\(390\) −249.681 238.070i −0.0324181 0.0309106i
\(391\) 4037.05 3174.77i 0.522155 0.410627i
\(392\) −322.964 6779.85i −0.0416126 0.873556i
\(393\) 1594.83 + 3492.19i 0.204704 + 0.448238i
\(394\) 14005.5 + 4112.38i 1.79083 + 0.525834i
\(395\) 139.174 195.442i 0.0177281 0.0248956i
\(396\) 956.896 + 752.512i 0.121429 + 0.0954928i
\(397\) 979.334 + 6811.42i 0.123807 + 0.861096i 0.953181 + 0.302402i \(0.0977884\pi\)
−0.829374 + 0.558694i \(0.811302\pi\)
\(398\) 8629.83 + 1663.26i 1.08687 + 0.209477i
\(399\) 2502.75 + 1608.42i 0.314021 + 0.201809i
\(400\) 277.643 + 26.5117i 0.0347054 + 0.00331397i
\(401\) 4583.31 0.570773 0.285386 0.958413i \(-0.407878\pi\)
0.285386 + 0.958413i \(0.407878\pi\)
\(402\) −7535.07 + 501.585i −0.934864 + 0.0622308i
\(403\) −16576.0 −2.04891
\(404\) −10002.2 955.092i −1.23175 0.117618i
\(405\) −20.5717 13.2206i −0.00252398 0.00162207i
\(406\) 2129.53 + 410.434i 0.260313 + 0.0501712i
\(407\) −512.356 3563.51i −0.0623993 0.433997i
\(408\) 5887.10 + 4629.66i 0.714350 + 0.561771i
\(409\) −2101.92 + 2951.73i −0.254115 + 0.356855i −0.921852 0.387543i \(-0.873324\pi\)
0.667736 + 0.744398i \(0.267263\pi\)
\(410\) −596.702 175.207i −0.0718756 0.0211046i
\(411\) −2549.88 5583.46i −0.306025 0.670101i
\(412\) −396.204 8317.34i −0.0473775 0.994577i
\(413\) 4315.90 3394.06i 0.514217 0.404385i
\(414\) 1430.84 + 1364.30i 0.169860 + 0.161961i
\(415\) 8.51375 35.0942i 0.00100705 0.00415110i
\(416\) 9557.02 11029.4i 1.12637 1.29990i
\(417\) −1762.69 + 3859.76i −0.207001 + 0.453269i
\(418\) −6110.78 2446.39i −0.715043 0.286260i
\(419\) 6171.34 1189.43i 0.719546 0.138681i 0.183682 0.982986i \(-0.441198\pi\)
0.535864 + 0.844305i \(0.319986\pi\)
\(420\) 27.7073 + 80.0550i 0.00321899 + 0.00930067i
\(421\) 2629.99 + 3693.31i 0.304461 + 0.427556i 0.938254 0.345947i \(-0.112442\pi\)
−0.633793 + 0.773503i \(0.718503\pi\)
\(422\) 886.924 18618.8i 0.102310 2.14775i
\(423\) 605.402 242.366i 0.0695878 0.0278588i
\(424\) −9458.67 + 6078.72i −1.08338 + 0.696247i
\(425\) −11914.4 + 6142.30i −1.35984 + 0.701047i
\(426\) 510.500 + 589.149i 0.0580606 + 0.0670055i
\(427\) 397.033 116.579i 0.0449971 0.0132123i
\(428\) −2052.18 + 5929.39i −0.231766 + 0.669645i
\(429\) 366.723 2550.62i 0.0412717 0.287051i
\(430\) 12.2585 11.6884i 0.00137478 0.00131085i
\(431\) −4702.26 8144.55i −0.525522 0.910230i −0.999558 0.0297250i \(-0.990537\pi\)
0.474036 0.880505i \(-0.342796\pi\)
\(432\) −30.1439 + 52.2107i −0.00335717 + 0.00581479i
\(433\) −1430.44 5896.35i −0.158759 0.654412i −0.994450 0.105212i \(-0.966448\pi\)
0.835691 0.549200i \(-0.185067\pi\)
\(434\) 5832.61 + 3006.92i 0.645102 + 0.332573i
\(435\) 59.5165 5.68313i 0.00655999 0.000626403i
\(436\) 7653.24 730.796i 0.840651 0.0802725i
\(437\) −5893.66 3038.39i −0.645154 0.332600i
\(438\) −916.712 3778.74i −0.100005 0.412226i
\(439\) 7010.52 12142.6i 0.762173 1.32012i −0.179555 0.983748i \(-0.557466\pi\)
0.941728 0.336375i \(-0.109201\pi\)
\(440\) −36.3456 62.9524i −0.00393797 0.00682077i
\(441\) −1900.48 + 1812.10i −0.205213 + 0.195670i
\(442\) 5817.48 40461.5i 0.626039 4.35420i
\(443\) −936.429 + 2705.63i −0.100431 + 0.290177i −0.984012 0.178101i \(-0.943004\pi\)
0.883581 + 0.468279i \(0.155126\pi\)
\(444\) 13084.2 3841.87i 1.39854 0.410647i
\(445\) −72.2064 83.3307i −0.00769194 0.00887697i
\(446\) 4626.13 2384.94i 0.491152 0.253206i
\(447\) −385.247 + 247.583i −0.0407641 + 0.0261975i
\(448\) −5482.28 + 2194.77i −0.578155 + 0.231458i
\(449\) 332.069 6970.98i 0.0349026 0.732697i −0.911809 0.410614i \(-0.865314\pi\)
0.946712 0.322082i \(-0.104383\pi\)
\(450\) −2993.09 4203.21i −0.313546 0.440314i
\(451\) −1519.27 4389.65i −0.158625 0.458316i
\(452\) 30816.6 5939.41i 3.20684 0.618067i
\(453\) −8705.20 3485.04i −0.902883 0.361460i
\(454\) −5468.51 + 11974.4i −0.565309 + 1.23785i
\(455\) 117.430 135.522i 0.0120994 0.0139634i
\(456\) 2279.65 9396.86i 0.234111 0.965018i
\(457\) 9096.74 + 8673.72i 0.931132 + 0.887833i 0.993910 0.110195i \(-0.0351475\pi\)
−0.0627779 + 0.998028i \(0.519996\pi\)
\(458\) 16026.8 12603.6i 1.63511 1.28587i
\(459\) −137.868 2894.20i −0.0140199 0.294313i
\(460\) −78.4353 171.749i −0.00795014 0.0174084i
\(461\) 279.935 + 82.1963i 0.0282817 + 0.00830426i 0.295843 0.955237i \(-0.404400\pi\)
−0.267561 + 0.963541i \(0.586218\pi\)
\(462\) −591.725 + 830.962i −0.0595878 + 0.0836793i
\(463\) 12462.1 + 9800.30i 1.25089 + 0.983712i 0.999876 + 0.0157289i \(0.00500686\pi\)
0.251015 + 0.967983i \(0.419236\pi\)
\(464\) −20.9771 145.899i −0.00209879 0.0145974i
\(465\) 177.634 + 34.2361i 0.0177152 + 0.00341433i
\(466\) 14413.4 + 9262.95i 1.43281 + 0.920811i
\(467\) 13482.3 + 1287.40i 1.33594 + 0.127567i 0.738450 0.674308i \(-0.235558\pi\)
0.597491 + 0.801875i \(0.296164\pi\)
\(468\) 9760.52 0.964060
\(469\) −446.783 3899.79i −0.0439883 0.383956i
\(470\) −100.404 −0.00985385
\(471\) −491.866 46.9675i −0.0481189 0.00459479i
\(472\) −15012.6 9648.02i −1.46401 0.940861i
\(473\) 124.228 + 23.9430i 0.0120761 + 0.00232749i
\(474\) 1557.45 + 10832.3i 0.150920 + 1.04967i
\(475\) 13603.6 + 10698.0i 1.31405 + 1.03338i
\(476\) −5822.44 + 8176.48i −0.560654 + 0.787328i
\(477\) 4173.66 + 1225.50i 0.400626 + 0.117634i
\(478\) −1069.56 2342.02i −0.102344 0.224103i
\(479\) 105.771 + 2220.40i 0.0100893 + 0.211801i 0.998282 + 0.0585870i \(0.0186595\pi\)
−0.988193 + 0.153214i \(0.951037\pi\)
\(480\) −125.196 + 98.4553i −0.0119050 + 0.00936218i
\(481\) −20891.0 19919.6i −1.98035 1.88826i
\(482\) 3393.86 13989.7i 0.320718 1.32202i
\(483\) −672.955 + 776.632i −0.0633965 + 0.0731635i
\(484\) −6644.08 + 14548.5i −0.623974 + 1.36631i
\(485\) −272.082 108.925i −0.0254734 0.0101980i
\(486\) 1095.22 211.086i 0.102222 0.0197017i
\(487\) −239.019 690.599i −0.0222402 0.0642588i 0.933334 0.359008i \(-0.116885\pi\)
−0.955575 + 0.294749i \(0.904764\pi\)
\(488\) −780.127 1095.54i −0.0723662 0.101624i
\(489\) −281.080 + 5900.59i −0.0259936 + 0.545672i
\(490\) 375.347 150.266i 0.0346050 0.0138537i
\(491\) −10623.2 + 6827.09i −0.976409 + 0.627500i −0.928492 0.371351i \(-0.878895\pi\)
−0.0479165 + 0.998851i \(0.515258\pi\)
\(492\) 15638.8 8062.37i 1.43303 0.738780i
\(493\) 4639.12 + 5353.83i 0.423804 + 0.489096i
\(494\) −50638.2 + 14868.7i −4.61198 + 1.35420i
\(495\) −9.19796 + 26.5758i −0.000835187 + 0.00241311i
\(496\) 63.4720 441.458i 0.00574593 0.0399638i
\(497\) −293.259 + 279.622i −0.0264677 + 0.0252369i
\(498\) 823.571 + 1426.47i 0.0741066 + 0.128356i
\(499\) 9930.49 17200.1i 0.890881 1.54305i 0.0520604 0.998644i \(-0.483421\pi\)
0.838821 0.544408i \(-0.183246\pi\)
\(500\) 232.447 + 958.160i 0.0207907 + 0.0857004i
\(501\) −5107.09 2632.89i −0.455425 0.234788i
\(502\) −24641.5 + 2352.97i −2.19084 + 0.209200i
\(503\) 3900.44 372.447i 0.345750 0.0330151i 0.0792631 0.996854i \(-0.474743\pi\)
0.266486 + 0.963839i \(0.414137\pi\)
\(504\) −1331.97 686.680i −0.117720 0.0606888i
\(505\) −54.7235 225.573i −0.00482211 0.0198770i
\(506\) 1136.82 1969.04i 0.0998774 0.172993i
\(507\) −7034.92 12184.8i −0.616236 1.06735i
\(508\) 6992.99 6667.81i 0.610756 0.582355i
\(509\) −409.113 + 2845.44i −0.0356260 + 0.247784i −0.999850 0.0173036i \(-0.994492\pi\)
0.964224 + 0.265088i \(0.0854009\pi\)
\(510\) −145.911 + 421.582i −0.0126687 + 0.0366038i
\(511\) 1939.24 569.412i 0.167881 0.0492942i
\(512\) 529.272 + 610.812i 0.0456850 + 0.0527233i
\(513\) −3325.02 + 1714.17i −0.286166 + 0.147529i
\(514\) −5501.69 + 3535.72i −0.472119 + 0.303413i
\(515\) 178.582 71.4933i 0.0152801 0.00611723i
\(516\) −22.8017 + 478.666i −0.00194532 + 0.0408374i
\(517\) −435.016 610.895i −0.0370058 0.0519674i
\(518\) 3737.50 + 10798.8i 0.317020 + 0.915968i
\(519\) 11052.6 2130.22i 0.934792 0.180166i
\(520\) −541.080 216.616i −0.0456306 0.0182677i
\(521\) −7599.68 + 16641.0i −0.639056 + 1.39934i 0.261759 + 0.965133i \(0.415698\pi\)
−0.900815 + 0.434204i \(0.857030\pi\)
\(522\) −1785.81 + 2060.93i −0.149737 + 0.172806i
\(523\) 2831.85 11673.0i 0.236765 0.975959i −0.722030 0.691861i \(-0.756791\pi\)
0.958795 0.284097i \(-0.0916939\pi\)
\(524\) 12103.4 + 11540.5i 1.00904 + 0.962121i
\(525\) 2108.27 1657.96i 0.175262 0.137828i
\(526\) 1036.33 + 21755.2i 0.0859052 + 1.80337i
\(527\) 8904.44 + 19498.0i 0.736022 + 1.61166i
\(528\) 66.5245 + 19.5334i 0.00548316 + 0.00161000i
\(529\) −5728.99 + 8045.24i −0.470863 + 0.661235i
\(530\) −526.448 414.004i −0.0431461 0.0339305i
\(531\) 982.543 + 6833.74i 0.0802989 + 0.558491i
\(532\) 12725.2 + 2452.59i 1.03705 + 0.199875i
\(533\) −31331.7 20135.7i −2.54621 1.63635i
\(534\) 5006.50 + 478.063i 0.405716 + 0.0387412i
\(535\) −144.950 −0.0117135
\(536\) −11503.0 + 5517.89i −0.926969 + 0.444657i
\(537\) 6643.61 0.533879
\(538\) 35747.8 + 3413.50i 2.86468 + 0.273543i
\(539\) 2540.51 + 1632.69i 0.203020 + 0.130473i
\(540\) −104.597 20.1594i −0.00833542 0.00160652i
\(541\) 1670.93 + 11621.6i 0.132789 + 0.923570i 0.941895 + 0.335907i \(0.109043\pi\)
−0.809106 + 0.587663i \(0.800048\pi\)
\(542\) −2452.63 1928.77i −0.194372 0.152856i
\(543\) 2837.06 3984.09i 0.224217 0.314869i
\(544\) −18107.5 5316.85i −1.42712 0.419041i
\(545\) 73.7801 + 161.556i 0.00579888 + 0.0126978i
\(546\) 389.181 + 8169.91i 0.0305044 + 0.640366i
\(547\) 11173.0 8786.58i 0.873354 0.686813i −0.0773195 0.997006i \(-0.524636\pi\)
0.950674 + 0.310193i \(0.100394\pi\)
\(548\) −19351.4 18451.5i −1.50849 1.43834i
\(549\) −122.669 + 505.648i −0.00953622 + 0.0393088i
\(550\) −3886.06 + 4484.76i −0.301277 + 0.347692i
\(551\) 3799.45 8319.63i 0.293760 0.643245i
\(552\) 3100.76 + 1241.36i 0.239089 + 0.0957166i
\(553\) −5585.60 + 1076.54i −0.429519 + 0.0827830i
\(554\) 4645.63 + 13422.7i 0.356270 + 1.02938i
\(555\) 182.733 + 256.613i 0.0139758 + 0.0196263i
\(556\) −879.492 + 18462.8i −0.0670841 + 1.40827i
\(557\) −11703.7 + 4685.44i −0.890306 + 0.356425i −0.771302 0.636469i \(-0.780394\pi\)
−0.119004 + 0.992894i \(0.537970\pi\)
\(558\) −6941.46 + 4461.00i −0.526622 + 0.338440i
\(559\) 901.615 464.815i 0.0682187 0.0351692i
\(560\) 3.15960 + 3.64637i 0.000238424 + 0.000275156i
\(561\) −3197.23 + 938.791i −0.240619 + 0.0706521i
\(562\) 5421.48 15664.3i 0.406924 1.17573i
\(563\) −1625.97 + 11308.9i −0.121717 + 0.846557i 0.833894 + 0.551925i \(0.186106\pi\)
−0.955611 + 0.294633i \(0.904803\pi\)
\(564\) 2055.88 1960.28i 0.153490 0.146352i
\(565\) 362.506 + 627.878i 0.0269924 + 0.0467523i
\(566\) 9592.15 16614.1i 0.712346 1.23382i
\(567\) 136.683 + 563.414i 0.0101237 + 0.0417305i
\(568\) 1170.59 + 603.480i 0.0864732 + 0.0445800i
\(569\) −26565.0 + 2536.65i −1.95723 + 0.186893i −0.996034 0.0889783i \(-0.971640\pi\)
−0.961195 + 0.275871i \(0.911034\pi\)
\(570\) 573.364 54.7496i 0.0421326 0.00402317i
\(571\) 7518.96 + 3876.30i 0.551066 + 0.284094i 0.711187 0.703003i \(-0.248158\pi\)
−0.160121 + 0.987097i \(0.551188\pi\)
\(572\) −2646.38 10908.5i −0.193445 0.797392i
\(573\) −4191.20 + 7259.38i −0.305567 + 0.529258i
\(574\) 7372.06 + 12768.8i 0.536069 + 0.928499i
\(575\) −4326.41 + 4125.22i −0.313780 + 0.299189i
\(576\) 1056.75 7349.87i 0.0764433 0.531675i
\(577\) −6459.55 + 18663.6i −0.466056 + 1.34658i 0.430075 + 0.902793i \(0.358487\pi\)
−0.896132 + 0.443788i \(0.853634\pi\)
\(578\) −29081.7 + 8539.15i −2.09280 + 0.614502i
\(579\) −1963.27 2265.74i −0.140917 0.162627i
\(580\) 231.486 119.339i 0.0165723 0.00854362i
\(581\) −720.250 + 462.876i −0.0514303 + 0.0330522i
\(582\) 12410.2 4968.28i 0.883879 0.353852i
\(583\) 238.028 4996.82i 0.0169093 0.354970i
\(584\) −3810.40 5350.96i −0.269992 0.379151i
\(585\) 73.7481 + 213.081i 0.00521215 + 0.0150595i
\(586\) 28778.8 5546.67i 2.02874 0.391008i
\(587\) −6663.32 2667.59i −0.468526 0.187569i 0.125372 0.992110i \(-0.459987\pi\)
−0.593898 + 0.804540i \(0.702412\pi\)
\(588\) −4751.84 + 10405.1i −0.333269 + 0.729758i
\(589\) 18122.8 20914.8i 1.26780 1.46312i
\(590\) 250.610 1033.03i 0.0174872 0.0720832i
\(591\) −6904.66 6583.58i −0.480575 0.458227i
\(592\) 610.499 480.102i 0.0423840 0.0333312i
\(593\) −515.996 10832.1i −0.0357326 0.750119i −0.943645 0.330959i \(-0.892628\pi\)
0.907912 0.419160i \(-0.137675\pi\)
\(594\) −532.861 1166.80i −0.0368073 0.0805967i
\(595\) −222.493 65.3299i −0.0153300 0.00450129i
\(596\) −1157.12 + 1624.95i −0.0795260 + 0.111679i
\(597\) −4515.24 3550.83i −0.309542 0.243427i
\(598\) −2594.38 18044.3i −0.177411 1.23392i
\(599\) 14999.4 + 2890.91i 1.02314 + 0.197194i 0.673108 0.739544i \(-0.264959\pi\)
0.350031 + 0.936738i \(0.386171\pi\)
\(600\) −7333.51 4712.96i −0.498982 0.320677i
\(601\) 18090.4 + 1727.42i 1.22783 + 0.117243i 0.688740 0.725008i \(-0.258164\pi\)
0.539085 + 0.842251i \(0.318770\pi\)
\(602\) −401.570 −0.0271873
\(603\) 4527.62 + 1965.32i 0.305769 + 0.132726i
\(604\) −40846.4 −2.75169
\(605\) −367.809 35.1215i −0.0247166 0.00236015i
\(606\) 8906.58 + 5723.91i 0.597038 + 0.383693i
\(607\) −25767.8 4966.33i −1.72303 0.332087i −0.770712 0.637184i \(-0.780099\pi\)
−0.952322 + 0.305096i \(0.901311\pi\)
\(608\) 3467.52 + 24117.1i 0.231294 + 1.60868i
\(609\) −1114.20 876.217i −0.0741374 0.0583023i
\(610\) 46.4693 65.2570i 0.00308440 0.00433144i
\(611\) −5769.48 1694.07i −0.382010 0.112168i
\(612\) −5243.23 11481.1i −0.346315 0.758325i
\(613\) 761.859 + 15993.4i 0.0501977 + 1.05378i 0.873700 + 0.486466i \(0.161714\pi\)
−0.823502 + 0.567314i \(0.807983\pi\)
\(614\) −31168.5 + 24511.2i −2.04863 + 1.61106i
\(615\) 294.172 + 280.493i 0.0192881 + 0.0183911i
\(616\) −406.306 + 1674.82i −0.0265755 + 0.109546i
\(617\) 1208.60 1394.80i 0.0788599 0.0910092i −0.714948 0.699177i \(-0.753550\pi\)
0.793808 + 0.608168i \(0.208095\pi\)
\(618\) −3644.83 + 7981.06i −0.237243 + 0.519491i
\(619\) 4950.76 + 1981.99i 0.321467 + 0.128696i 0.526783 0.850000i \(-0.323398\pi\)
−0.205316 + 0.978696i \(0.565822\pi\)
\(620\) 773.787 149.135i 0.0501226 0.00966034i
\(621\) −422.627 1221.10i −0.0273099 0.0789067i
\(622\) −20684.8 29047.8i −1.33342 1.87252i
\(623\) −124.386 + 2611.19i −0.00799908 + 0.167921i
\(624\) 516.083 206.609i 0.0331088 0.0132547i
\(625\) 13115.8 8429.04i 0.839414 0.539459i
\(626\) −13396.7 + 6906.46i −0.855333 + 0.440955i
\(627\) 2817.30 + 3251.33i 0.179445 + 0.207090i
\(628\) −2065.17 + 606.388i −0.131225 + 0.0385311i
\(629\) −12208.5 + 35274.2i −0.773904 + 2.23605i
\(630\) 12.7035 88.3550i 0.000803367 0.00558754i
\(631\) −10071.0 + 9602.65i −0.635371 + 0.605825i −0.937728 0.347370i \(-0.887075\pi\)
0.302358 + 0.953195i \(0.402226\pi\)
\(632\) 9244.22 + 16011.5i 0.581828 + 1.00776i
\(633\) −6091.46 + 10550.7i −0.382486 + 0.662486i
\(634\) −7470.86 30795.3i −0.467990 1.92908i
\(635\) 198.402 + 102.283i 0.0123990 + 0.00639211i
\(636\) 18862.5 1801.15i 1.17602 0.112296i
\(637\) 24103.7 2301.62i 1.49925 0.143161i
\(638\) 2787.52 + 1437.07i 0.172977 + 0.0891757i
\(639\) −120.122 495.149i −0.00743654 0.0306539i
\(640\) −359.277 + 622.285i −0.0221901 + 0.0384343i
\(641\) −375.341 650.109i −0.0231280 0.0400589i 0.854230 0.519896i \(-0.174029\pi\)
−0.877358 + 0.479837i \(0.840696\pi\)
\(642\) 4784.93 4562.42i 0.294153 0.280474i
\(643\) 2480.79 17254.2i 0.152150 1.05823i −0.760456 0.649389i \(-0.775025\pi\)
0.912606 0.408839i \(-0.134066\pi\)
\(644\) −1464.10 + 4230.24i −0.0895864 + 0.258843i
\(645\) −10.6220 + 3.11890i −0.000648436 + 0.000190398i
\(646\) 44691.9 + 51577.2i 2.72195 + 3.14130i
\(647\) 5937.75 3061.12i 0.360799 0.186005i −0.268290 0.963338i \(-0.586458\pi\)
0.629089 + 0.777333i \(0.283428\pi\)
\(648\) 1585.20 1018.74i 0.0960993 0.0617593i
\(649\) 7371.10 2950.94i 0.445826 0.178482i
\(650\) −2263.93 + 47525.7i −0.136613 + 2.86786i
\(651\) −2487.82 3493.66i −0.149778 0.210334i
\(652\) 8416.30 + 24317.3i 0.505533 + 1.46064i
\(653\) 10422.3 2008.74i 0.624590 0.120380i 0.132870 0.991133i \(-0.457581\pi\)
0.491720 + 0.870754i \(0.336369\pi\)
\(654\) −7520.65 3010.81i −0.449664 0.180018i
\(655\) −160.491 + 351.426i −0.00957389 + 0.0209639i
\(656\) 656.233 757.334i 0.0390573 0.0450746i
\(657\) −599.156 + 2469.75i −0.0355788 + 0.146658i
\(658\) 1722.80 + 1642.69i 0.102070 + 0.0973231i
\(659\) 9332.18 7338.91i 0.551639 0.433814i −0.303034 0.952980i \(-0.598000\pi\)
0.854674 + 0.519166i \(0.173757\pi\)
\(660\) 5.82896 + 122.365i 0.000343776 + 0.00721674i
\(661\) −10719.3 23472.0i −0.630761 1.38117i −0.907428 0.420207i \(-0.861957\pi\)
0.276668 0.960966i \(-0.410770\pi\)
\(662\) −15910.6 4671.77i −0.934112 0.274280i
\(663\) −15497.5 + 21763.2i −0.907804 + 1.27483i
\(664\) 2187.35 + 1720.15i 0.127840 + 0.100534i
\(665\) 42.6066 + 296.335i 0.00248453 + 0.0172803i
\(666\) −14109.3 2719.34i −0.820905 0.158217i
\(667\) 2657.74 + 1708.02i 0.154285 + 0.0991528i
\(668\) −24915.9 2379.18i −1.44315 0.137804i
\(669\) −3401.76 −0.196592
\(670\) −534.708 540.007i −0.0308322 0.0311378i
\(671\) 598.381 0.0344266
\(672\) 3758.99 + 358.940i 0.215783 + 0.0206048i
\(673\) 7880.40 + 5064.42i 0.451363 + 0.290073i 0.746505 0.665380i \(-0.231731\pi\)
−0.295142 + 0.955453i \(0.595367\pi\)
\(674\) 35373.3 + 6817.65i 2.02156 + 0.389623i
\(675\) 479.962 + 3338.21i 0.0273685 + 0.190352i
\(676\) −48176.6 37886.5i −2.74105 2.15558i
\(677\) 14892.2 20913.2i 0.845426 1.18724i −0.135097 0.990832i \(-0.543135\pi\)
0.980523 0.196403i \(-0.0629260\pi\)
\(678\) −31729.6 9316.65i −1.79730 0.527734i
\(679\) 2886.46 + 6320.46i 0.163140 + 0.357227i
\(680\) 35.8614 + 752.823i 0.00202238 + 0.0424551i
\(681\) 6763.11 5318.57i 0.380562 0.299277i
\(682\) 6867.74 + 6548.38i 0.385600 + 0.367669i
\(683\) 1639.04 6756.20i 0.0918243 0.378505i −0.907294 0.420498i \(-0.861856\pi\)
0.999118 + 0.0419928i \(0.0133707\pi\)
\(684\) −10671.3 + 12315.3i −0.596531 + 0.688433i
\(685\) 256.599 561.874i 0.0143126 0.0313403i
\(686\) −19360.3 7750.68i −1.07752 0.431374i
\(687\) −13085.2 + 2521.97i −0.726684 + 0.140057i
\(688\) 8.92668 + 25.7919i 0.000494660 + 0.00142923i
\(689\) −23265.7 32672.1i −1.28643 1.80654i
\(690\) −9.46651 + 198.726i −0.000522295 + 0.0109643i
\(691\) −22878.4 + 9159.12i −1.25953 + 0.504240i −0.902837 0.429982i \(-0.858520\pi\)
−0.356692 + 0.934222i \(0.616095\pi\)
\(692\) 41248.6 26508.8i 2.26595 1.45624i
\(693\) 592.622 305.518i 0.0324847 0.0167470i
\(694\) 28768.1 + 33200.1i 1.57352 + 1.81593i
\(695\) −409.706 + 120.301i −0.0223612 + 0.00656584i
\(696\) −1506.81 + 4353.65i −0.0820627 + 0.237105i
\(697\) −6854.12 + 47671.4i −0.372480 + 2.59065i
\(698\) −1028.71 + 980.874i −0.0557841 + 0.0531900i
\(699\) −5599.10 9697.92i −0.302972 0.524762i
\(700\) 5841.72 10118.2i 0.315423 0.546329i
\(701\) 528.327 + 2177.79i 0.0284659 + 0.117338i 0.984272 0.176660i \(-0.0565292\pi\)
−0.955806 + 0.293998i \(0.905014\pi\)
\(702\) −9141.40 4712.72i −0.491481 0.253376i
\(703\) 47974.0 4580.96i 2.57379 0.245767i
\(704\) −8500.86 + 811.734i −0.455097 + 0.0434565i
\(705\) 58.3286 + 30.0705i 0.00311600 + 0.00160641i
\(706\) −5589.19 23038.9i −0.297949 1.22816i
\(707\) −2751.56 + 4765.84i −0.146369 + 0.253519i
\(708\) 15037.2 + 26045.2i 0.798210 + 1.38254i
\(709\) 9162.38 8736.31i 0.485332 0.462763i −0.407466 0.913220i \(-0.633588\pi\)
0.892798 + 0.450457i \(0.148739\pi\)
\(710\) −11.1643 + 77.6497i −0.000590127 + 0.00410443i
\(711\) 2339.43 6759.34i 0.123397 0.356533i
\(712\) 8152.34 2393.74i 0.429104 0.125996i
\(713\) 6259.96 + 7224.38i 0.328804 + 0.379460i
\(714\) 9401.01 4846.56i 0.492751 0.254031i
\(715\) 218.148 140.195i 0.0114102 0.00733287i
\(716\) 26867.0 10755.9i 1.40233 0.561408i
\(717\) −80.0706 + 1680.89i −0.00417056 + 0.0875508i
\(718\) 2403.11 + 3374.69i 0.124907 + 0.175407i
\(719\) 1102.40 + 3185.17i 0.0571801 + 0.165211i 0.969974 0.243211i \(-0.0782006\pi\)
−0.912793 + 0.408421i \(0.866079\pi\)
\(720\) −5.95724 + 1.14816i −0.000308352 + 5.94299e-5i
\(721\) −4233.90 1695.00i −0.218694 0.0875520i
\(722\) 23524.3 51511.0i 1.21258 2.65518i
\(723\) −6161.43 + 7110.67i −0.316938 + 0.365766i
\(724\) 5022.98 20705.0i 0.257842 1.06284i
\(725\) −5967.63 5690.12i −0.305700 0.291484i
\(726\) 13247.2 10417.7i 0.677202 0.532557i
\(727\) −668.337 14030.1i −0.0340952 0.715747i −0.949605 0.313450i \(-0.898515\pi\)
0.915509 0.402297i \(-0.131788\pi\)
\(728\) 5740.20 + 12569.3i 0.292233 + 0.639902i
\(729\) −699.470 205.383i −0.0355368 0.0104345i
\(730\) 226.971 318.737i 0.0115077 0.0161602i
\(731\) −1031.09 810.856i −0.0521699 0.0410268i
\(732\) 322.561 + 2243.46i 0.0162872 + 0.113280i
\(733\) −16777.9 3233.67i −0.845436 0.162944i −0.251901 0.967753i \(-0.581056\pi\)
−0.593534 + 0.804809i \(0.702268\pi\)
\(734\) −4311.61 2770.91i −0.216818 0.139341i
\(735\) −263.056 25.1188i −0.0132013 0.00126057i
\(736\) −8416.19 −0.421501
\(737\) 968.894 5593.00i 0.0484256 0.279540i
\(738\) −18539.6 −0.924733
\(739\) 13407.2 + 1280.24i 0.667379 + 0.0637269i 0.423246 0.906015i \(-0.360891\pi\)
0.244133 + 0.969742i \(0.421497\pi\)
\(740\) 1154.43 + 741.909i 0.0573484 + 0.0368556i
\(741\) 33870.6 + 6528.03i 1.67917 + 0.323634i
\(742\) 2259.73 + 15716.8i 0.111803 + 0.777604i
\(743\) 11555.7 + 9087.52i 0.570577 + 0.448707i 0.861297 0.508102i \(-0.169653\pi\)
−0.290720 + 0.956808i \(0.593895\pi\)
\(744\) −8085.93 + 11355.1i −0.398447 + 0.559540i
\(745\) −44.2171 12.9833i −0.00217448 0.000638486i
\(746\) −20729.7 45391.8i −1.01739 2.22776i
\(747\) −51.2248 1075.34i −0.00250899 0.0526702i
\(748\) −11409.8 + 8972.80i −0.557734 + 0.438607i
\(749\) 2487.14 + 2371.49i 0.121333 + 0.115691i
\(750\) 244.930 1009.62i 0.0119248 0.0491546i
\(751\) −18528.6 + 21383.2i −0.900292 + 1.03899i 0.0987446 + 0.995113i \(0.468517\pi\)
−0.999037 + 0.0438798i \(0.986028\pi\)
\(752\) 67.2092 147.168i 0.00325913 0.00713650i
\(753\) 15019.8 + 6013.03i 0.726896 + 0.291005i
\(754\) 24690.9 4758.78i 1.19256 0.229847i
\(755\) −308.626 891.717i −0.0148769 0.0429840i
\(756\) 1464.91 + 2057.18i 0.0704741 + 0.0989670i
\(757\) 1637.53 34376.0i 0.0786223 1.65049i −0.523459 0.852051i \(-0.675359\pi\)
0.602081 0.798435i \(-0.294338\pi\)
\(758\) 53922.5 21587.3i 2.58384 1.03441i
\(759\) −1250.14 + 803.413i −0.0597853 + 0.0384217i
\(760\) 864.884 445.879i 0.0412798 0.0212812i
\(761\) 3495.56 + 4034.10i 0.166510 + 0.192163i 0.832872 0.553465i \(-0.186695\pi\)
−0.666362 + 0.745628i \(0.732149\pi\)
\(762\) −9768.87 + 2868.40i −0.464421 + 0.136366i
\(763\) 1377.20 3979.17i 0.0653449 0.188802i
\(764\) −5196.55 + 36142.8i −0.246079 + 1.71152i
\(765\) 211.026 201.213i 0.00997341 0.00950963i
\(766\) −24980.3 43267.1i −1.17830 2.04087i
\(767\) 31830.4 55131.9i 1.49847 2.59543i
\(768\) −3058.58 12607.7i −0.143707 0.592369i
\(769\) 8492.51 + 4378.19i 0.398241 + 0.205308i 0.645701 0.763591i \(-0.276565\pi\)
−0.247459 + 0.968898i \(0.579596\pi\)
\(770\) −102.191 + 9.75810i −0.00478276 + 0.000456698i
\(771\) 4255.06 406.309i 0.198758 0.0189791i
\(772\) −11607.8 5984.23i −0.541157 0.278986i
\(773\) 7921.02 + 32650.9i 0.368563 + 1.51924i 0.790415 + 0.612572i \(0.209865\pi\)
−0.421852 + 0.906665i \(0.638620\pi\)
\(774\) 252.472 437.294i 0.0117247 0.0203078i
\(775\) −12474.7 21606.8i −0.578200 1.00147i
\(776\) 16344.5 15584.5i 0.756100 0.720940i
\(777\) 1062.92 7392.76i 0.0490759 0.341331i
\(778\) 1777.54 5135.85i 0.0819123 0.236670i
\(779\) 59661.6 17518.2i 2.74403 0.805719i
\(780\) 643.217 + 742.312i 0.0295268 + 0.0340757i
\(781\) −520.819 + 268.501i −0.0238622 + 0.0123018i
\(782\) −19831.4 + 12744.9i −0.906867 + 0.582808i
\(783\) 1654.68 662.433i 0.0755216 0.0302343i
\(784\) −30.9990 + 650.750i −0.00141213 + 0.0296442i
\(785\) −28.8419 40.5028i −0.00131135 0.00184154i
\(786\) −5763.47 16652.5i −0.261547 0.755691i
\(787\) −6617.14 + 1275.35i −0.299715 + 0.0577653i −0.336892 0.941543i \(-0.609376\pi\)
0.0371769 + 0.999309i \(0.488163\pi\)
\(788\) −38581.5 15445.7i −1.74417 0.698262i
\(789\) 5913.51 12948.8i 0.266827 0.584270i
\(790\) −721.190 + 832.298i −0.0324795 + 0.0374833i
\(791\) 4052.44 16704.4i 0.182159 0.750871i
\(792\) −1568.36 1495.43i −0.0703652 0.0670931i
\(793\) 3771.28 2965.77i 0.168880 0.132809i
\(794\) −1502.92 31550.2i −0.0671747 1.41017i
\(795\) 181.842 + 398.178i 0.00811227 + 0.0177634i
\(796\) −24008.6 7049.56i −1.06905 0.313901i
\(797\) −439.359 + 616.993i −0.0195268 + 0.0274216i −0.824224 0.566264i \(-0.808388\pi\)
0.804697 + 0.593686i \(0.202328\pi\)
\(798\) −10733.9 8441.21i −0.476159 0.374456i
\(799\) 1106.60 + 7696.54i 0.0489969 + 0.340781i
\(800\) 21569.2 + 4157.12i 0.953232 + 0.183720i
\(801\) −2765.28 1777.14i −0.121980 0.0783921i
\(802\) −20942.2 1999.74i −0.922064 0.0880465i
\(803\) 2922.69 0.128443
\(804\) 21491.7 + 617.652i 0.942729 + 0.0270932i
\(805\) −103.413 −0.00452772
\(806\) 75739.7 + 7232.26i 3.30995 + 0.316062i
\(807\) −19744.9 12689.2i −0.861279 0.553510i
\(808\) 17563.0 + 3385.00i 0.764684 + 0.147381i
\(809\) −954.495 6638.66i −0.0414811 0.288508i −0.999994 0.00345847i \(-0.998899\pi\)
0.958513 0.285049i \(-0.0920100\pi\)
\(810\) 88.2284 + 69.3836i 0.00382720 + 0.00300974i
\(811\) 4506.82 6328.94i 0.195137 0.274031i −0.705402 0.708808i \(-0.749233\pi\)
0.900538 + 0.434777i \(0.143173\pi\)
\(812\) −5924.46 1739.58i −0.256044 0.0751814i
\(813\) 847.169 + 1855.04i 0.0365455 + 0.0800236i
\(814\) 786.280 + 16506.1i 0.0338564 + 0.710733i
\(815\) −467.278 + 367.471i −0.0200835 + 0.0157938i
\(816\) −520.263 496.069i −0.0223196 0.0212817i
\(817\) −399.267 + 1645.80i −0.0170974 + 0.0704765i
\(818\) 10892.0 12570.1i 0.465563 0.537288i
\(819\) 2220.74 4862.75i 0.0947486 0.207470i
\(820\) 1643.76 + 658.062i 0.0700032 + 0.0280250i
\(821\) 31146.6 6003.01i 1.32402 0.255184i 0.522239 0.852799i \(-0.325097\pi\)
0.801784 + 0.597615i \(0.203885\pi\)
\(822\) 9214.88 + 26624.6i 0.391005 + 1.12973i
\(823\) −16341.9 22949.0i −0.692154 0.971994i −0.999790 0.0204903i \(-0.993477\pi\)
0.307636 0.951504i \(-0.400462\pi\)
\(824\) −705.297 + 14806.0i −0.0298182 + 0.625961i
\(825\) 3600.71 1441.51i 0.151952 0.0608325i
\(826\) −21201.2 + 13625.2i −0.893080 + 0.573948i
\(827\) −21454.7 + 11060.7i −0.902120 + 0.465075i −0.845899 0.533343i \(-0.820935\pi\)
−0.0562210 + 0.998418i \(0.517905\pi\)
\(828\) −3686.07 4253.95i −0.154710 0.178545i
\(829\) −37792.3 + 11096.8i −1.58333 + 0.464907i −0.950845 0.309666i \(-0.899783\pi\)
−0.632484 + 0.774573i \(0.717965\pi\)
\(830\) −54.2132 + 156.639i −0.00226719 + 0.00655061i
\(831\) 1321.18 9189.04i 0.0551521 0.383591i
\(832\) −49553.3 + 47249.0i −2.06485 + 1.96883i
\(833\) −15655.6 27116.2i −0.651180 1.12788i
\(834\) 9738.20 16867.1i 0.404324 0.700310i
\(835\) −136.319 561.915i −0.00564972 0.0232885i
\(836\) 16657.1 + 8587.35i 0.689114 + 0.355263i
\(837\) 5368.59 512.638i 0.221703 0.0211701i
\(838\) −28717.2 + 2742.16i −1.18380 + 0.113039i
\(839\) 93.6628 + 48.2865i 0.00385411 + 0.00198693i 0.460153 0.887840i \(-0.347795\pi\)
−0.456298 + 0.889827i \(0.650825\pi\)
\(840\) −35.5532 146.552i −0.00146036 0.00601968i
\(841\) 10015.6 17347.6i 0.410662 0.711288i
\(842\) −10405.6 18023.1i −0.425893 0.737668i
\(843\) −7840.90 + 7476.28i −0.320350 + 0.305453i
\(844\) −7552.62 + 52529.6i −0.308023 + 2.14235i
\(845\) 463.088 1338.00i 0.0188529 0.0544719i
\(846\) −2871.97 + 843.286i −0.116714 + 0.0342704i
\(847\) 5736.48 + 6620.25i 0.232713 + 0.268565i
\(848\) 959.222 494.513i 0.0388441 0.0200255i
\(849\) −10548.2 + 6778.94i −0.426401 + 0.274031i
\(850\) 57119.5 22867.2i 2.30492 0.922752i
\(851\) −792.073 + 16627.7i −0.0319059 + 0.669787i
\(852\) −1287.42 1807.93i −0.0517680 0.0726979i
\(853\) 263.681 + 761.855i 0.0105841 + 0.0305808i 0.950169 0.311735i \(-0.100910\pi\)
−0.939585 + 0.342316i \(0.888789\pi\)
\(854\) −1865.00 + 359.449i −0.0747294 + 0.0144029i
\(855\) −349.485 139.913i −0.0139791 0.00559639i
\(856\) 4639.96 10160.1i 0.185269 0.405683i
\(857\) −15518.7 + 17909.6i −0.618565 + 0.713862i −0.975434 0.220293i \(-0.929299\pi\)
0.356869 + 0.934154i \(0.383844\pi\)
\(858\) −2788.50 + 11494.3i −0.110953 + 0.457355i
\(859\) 20567.1 + 19610.7i 0.816928 + 0.778939i 0.978133 0.207982i \(-0.0666896\pi\)
−0.161205 + 0.986921i \(0.551538\pi\)
\(860\) −37.9064 + 29.8099i −0.00150302 + 0.00118199i
\(861\) −458.530 9625.73i −0.0181494 0.381004i
\(862\) 17932.2 + 39266.0i 0.708552 + 1.55151i
\(863\) 7496.75 + 2201.24i 0.295704 + 0.0868264i 0.426219 0.904620i \(-0.359845\pi\)
−0.130516 + 0.991446i \(0.541663\pi\)
\(864\) −2754.19 + 3867.72i −0.108449 + 0.152295i
\(865\) 890.378 + 700.201i 0.0349985 + 0.0275232i
\(866\) 3963.38 + 27565.9i 0.155521 + 1.08167i
\(867\) 19452.0 + 3749.07i 0.761967 + 0.146857i
\(868\) −15717.1 10100.7i −0.614599 0.394979i
\(869\) −8188.65 781.921i −0.319656 0.0305234i
\(870\) −274.424 −0.0106941
\(871\) −21614.3 40052.0i −0.840842 1.55810i
\(872\) −13685.8 −0.531491
\(873\) −8697.48 830.509i −0.337188 0.0321976i
\(874\) 25603.8 + 16454.6i 0.990918 + 0.636824i
\(875\) 530.249 + 102.197i 0.0204865 + 0.00394845i
\(876\) 1575.50 + 10957.8i 0.0607661 + 0.422638i
\(877\) 2749.05 + 2161.88i 0.105848 + 0.0832399i 0.669680 0.742649i \(-0.266431\pi\)
−0.563832 + 0.825889i \(0.690674\pi\)
\(878\) −37330.6 + 52423.5i −1.43491 + 2.01504i
\(879\) −18379.9 5396.82i −0.705276 0.207088i
\(880\) 2.89840 + 6.34661i 0.000111028 + 0.000243118i
\(881\) −15.5305 326.026i −0.000593913 0.0124678i 0.998551 0.0538149i \(-0.0171381\pi\)
−0.999145 + 0.0413471i \(0.986835\pi\)
\(882\) 9474.35 7450.71i 0.361699 0.284443i
\(883\) 1885.52 + 1797.84i 0.0718606 + 0.0685190i 0.725158 0.688582i \(-0.241767\pi\)
−0.653298 + 0.757101i \(0.726615\pi\)
\(884\) −27438.2 + 113102.i −1.04394 + 4.30320i
\(885\) −454.974 + 525.068i −0.0172811 + 0.0199435i
\(886\) 5459.25 11954.1i 0.207006 0.453279i
\(887\) 23516.2 + 9414.46i 0.890187 + 0.356377i 0.771256 0.636525i \(-0.219629\pi\)
0.118931 + 0.992902i \(0.462053\pi\)
\(888\) −23836.4 + 4594.08i −0.900784 + 0.173612i
\(889\) −1730.88 5001.04i −0.0653000 0.188672i
\(890\) 293.570 + 412.261i 0.0110567 + 0.0155270i
\(891\) −39.8915 + 837.426i −0.00149991 + 0.0314869i
\(892\) −13756.9 + 5507.42i −0.516384 + 0.206729i
\(893\) 8445.33 5427.49i 0.316475 0.203386i
\(894\) 1868.31 963.178i 0.0698943 0.0360330i
\(895\) 437.813 + 505.263i 0.0163514 + 0.0188705i
\(896\) 16345.7 4799.54i 0.609456 0.178952i
\(897\) −3896.98 + 11259.6i −0.145057 + 0.419115i
\(898\) −4558.80 + 31707.1i −0.169409 + 1.17826i
\(899\) −9542.80 + 9099.04i −0.354027 + 0.337564i
\(900\) 7345.52 + 12722.8i 0.272056 + 0.471215i
\(901\) −25933.4 + 44918.0i −0.958898 + 1.66086i
\(902\) 5026.67 + 20720.2i 0.185554 + 0.764864i
\(903\) 233.287 + 120.268i 0.00859722 + 0.00443218i
\(904\) −55614.4 + 5310.53i −2.04614 + 0.195382i
\(905\) 489.962 46.7857i 0.0179966 0.00171846i
\(906\) 38255.5 + 19722.1i 1.40282 + 0.723204i
\(907\) 3895.39 + 16057.0i 0.142607 + 0.587832i 0.997603 + 0.0691984i \(0.0220441\pi\)
−0.854996 + 0.518634i \(0.826441\pi\)
\(908\) 18739.6 32457.9i 0.684906 1.18629i
\(909\) −3459.88 5992.69i −0.126245 0.218663i
\(910\) −595.695 + 567.994i −0.0217001 + 0.0206910i
\(911\) 773.589 5380.43i 0.0281341 0.195677i −0.970907 0.239456i \(-0.923031\pi\)
0.999041 + 0.0437795i \(0.0139399\pi\)
\(912\) −303.552 + 877.056i −0.0110215 + 0.0318445i
\(913\) −1187.93 + 348.808i −0.0430611 + 0.0126439i
\(914\) −37780.7 43601.2i −1.36726 1.57790i
\(915\) −46.5397 + 23.9929i −0.00168148 + 0.000866864i
\(916\) −48834.1 + 31383.8i −1.76149 + 1.13204i
\(917\) 8503.38 3404.24i 0.306223 0.122593i
\(918\) −632.815 + 13284.4i −0.0227517 + 0.477616i
\(919\) −4392.61 6168.56i −0.157670 0.221417i 0.728183 0.685383i \(-0.240365\pi\)
−0.885853 + 0.463966i \(0.846426\pi\)
\(920\) 109.931 + 317.626i 0.00393949 + 0.0113824i
\(921\) 25447.8 4904.67i 0.910462 0.175477i
\(922\) −1243.22 497.712i −0.0444072 0.0177780i
\(923\) −1951.67 + 4273.57i −0.0695993 + 0.152401i
\(924\) 1901.96 2194.98i 0.0677163 0.0781488i
\(925\) 10243.1 42222.4i 0.364097 1.50083i
\(926\) −52666.2 50217.2i −1.86903 1.78211i
\(927\) 4507.69 3544.89i 0.159711 0.125598i
\(928\) −552.372 11595.7i −0.0195393 0.410181i
\(929\) 6109.36 + 13377.6i 0.215761 + 0.472450i 0.986304 0.164938i \(-0.0527423\pi\)
−0.770543 + 0.637388i \(0.780015\pi\)
\(930\) −796.712 233.936i −0.0280916 0.00824845i
\(931\) −23448.8 + 32929.2i −0.825460 + 1.15920i
\(932\) −38343.8 30153.9i −1.34763 1.05979i
\(933\) 3316.95 + 23069.9i 0.116390 + 0.809511i
\(934\) −61041.8 11764.9i −2.13849 0.412160i
\(935\) −282.095 181.291i −0.00986683 0.00634103i
\(936\) −17296.4 1651.61i −0.604007 0.0576757i
\(937\) −16981.4 −0.592059 −0.296029 0.955179i \(-0.595663\pi\)
−0.296029 + 0.955179i \(0.595663\pi\)
\(938\) 339.941 + 18014.0i 0.0118331 + 0.627055i
\(939\) 9851.05 0.342361
\(940\) 284.567 + 27.1729i 0.00987399 + 0.000942852i
\(941\) 16560.4 + 10642.7i 0.573703 + 0.368696i 0.795092 0.606489i \(-0.207423\pi\)
−0.221389 + 0.975186i \(0.571059\pi\)
\(942\) 2226.96 + 429.211i 0.0770257 + 0.0148455i
\(943\) 3056.68 + 21259.7i 0.105556 + 0.734157i
\(944\) 1346.41 + 1058.82i 0.0464214 + 0.0365062i
\(945\) −33.8417 + 47.5240i −0.00116494 + 0.00163593i
\(946\) −557.181 163.603i −0.0191496 0.00562283i
\(947\) 18668.9 + 40879.1i 0.640608 + 1.40274i 0.899539 + 0.436841i \(0.143903\pi\)
−0.258930 + 0.965896i \(0.583370\pi\)
\(948\) −1482.55 31122.6i −0.0507922 1.06626i
\(949\) 18420.2 14485.8i 0.630079 0.495500i
\(950\) −57490.4 54816.9i −1.96340 1.87210i
\(951\) −4882.90 + 20127.6i −0.166497 + 0.686311i
\(952\) 11701.4 13504.1i 0.398366 0.459739i
\(953\) 6161.72 13492.3i 0.209442 0.458613i −0.775534 0.631306i \(-0.782519\pi\)
0.984976 + 0.172692i \(0.0552467\pi\)
\(954\) −18535.7 7420.58i −0.629052 0.251834i
\(955\) −828.295 + 159.641i −0.0280660 + 0.00540927i
\(956\) 2397.53 + 6927.22i 0.0811107 + 0.234354i
\(957\) −1188.98 1669.69i −0.0401613 0.0563986i
\(958\) 485.490 10191.7i 0.0163731 0.343715i
\(959\) −13595.6 + 5442.84i −0.457793 + 0.183273i
\(960\) 628.617 403.987i 0.0211339 0.0135819i
\(961\) −8982.09 + 4630.59i −0.301503 + 0.155436i
\(962\) 86764.9 + 100132.i 2.90791 + 3.35591i
\(963\) −4146.16 + 1217.42i −0.138741 + 0.0407382i
\(964\) −13405.0 + 38731.1i −0.447869 + 1.29403i
\(965\) 42.9357 298.624i 0.00143228 0.00996171i
\(966\) 3413.74 3254.99i 0.113701 0.108414i
\(967\) 26029.1 + 45083.8i 0.865605 + 1.49927i 0.866445 + 0.499273i \(0.166399\pi\)
−0.000839554 1.00000i \(0.500267\pi\)
\(968\) 14235.6 24656.8i 0.472676 0.818699i
\(969\) −10516.1 43348.0i −0.348634 1.43709i
\(970\) 1195.68 + 616.416i 0.0395783 + 0.0204040i
\(971\) −9521.88 + 909.230i −0.314698 + 0.0300500i −0.251210 0.967933i \(-0.580828\pi\)
−0.0634879 + 0.997983i \(0.520222\pi\)
\(972\) −3161.20 + 301.858i −0.104316 + 0.00996101i
\(973\) 8998.19 + 4638.89i 0.296474 + 0.152843i
\(974\) 790.817 + 3259.79i 0.0260158 + 0.107239i
\(975\) 15548.8 26931.4i 0.510729 0.884609i
\(976\) 64.5445 + 111.794i 0.00211682 + 0.00366644i
\(977\) 6372.78 6076.43i 0.208683 0.198979i −0.578528 0.815662i \(-0.696373\pi\)
0.787211 + 0.616684i \(0.211524\pi\)
\(978\) 3858.79 26838.5i 0.126166 0.877506i
\(979\) −1236.41 + 3572.36i −0.0403633 + 0.116622i
\(980\) −1104.48 + 324.304i −0.0360013 + 0.0105709i
\(981\) 3467.30 + 4001.47i 0.112846 + 0.130232i
\(982\) 51518.4 26559.6i 1.67415 0.863086i
\(983\) 16491.8 10598.6i 0.535104 0.343891i −0.245017 0.969519i \(-0.578794\pi\)
0.780121 + 0.625628i \(0.215157\pi\)
\(984\) −29077.5 + 11640.9i −0.942028 + 0.377131i
\(985\) 45.6816 958.975i 0.00147770 0.0310208i
\(986\) −18861.3 26487.0i −0.609195 0.855494i
\(987\) −508.863 1470.26i −0.0164106 0.0474154i
\(988\) 147543. 28436.6i 4.75098 0.915677i
\(989\) −543.078 217.416i −0.0174609 0.00699031i
\(990\) 53.6228 117.418i 0.00172146 0.00376947i
\(991\) 17874.4 20628.2i 0.572956 0.661227i −0.393119 0.919488i \(-0.628604\pi\)
0.966075 + 0.258261i \(0.0831494\pi\)
\(992\) 8281.24 34135.7i 0.265050 1.09255i
\(993\) 7843.87 + 7479.12i 0.250672 + 0.239016i
\(994\) 1461.97 1149.71i 0.0466508 0.0366866i
\(995\) −27.5047 577.395i −0.000876340 0.0183966i
\(996\) −1948.12 4265.79i −0.0619765 0.135710i
\(997\) −28481.7 8362.98i −0.904738 0.265655i −0.203914 0.978989i \(-0.565366\pi\)
−0.700825 + 0.713334i \(0.747184\pi\)
\(998\) −52879.3 + 74258.5i −1.67722 + 2.35532i
\(999\) 7382.16 + 5805.40i 0.233795 + 0.183858i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 201.4.m.a.4.2 320
67.17 even 33 inner 201.4.m.a.151.2 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.4.m.a.4.2 320 1.1 even 1 trivial
201.4.m.a.151.2 yes 320 67.17 even 33 inner