Properties

Label 74.4.f.b.7.1
Level $74$
Weight $4$
Character 74.7
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 74.7
Dual form 74.4.f.b.53.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.87939 + 0.684040i) q^{2} +(-6.73393 - 2.45095i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-2.75980 - 15.6516i) q^{5} +14.3322 q^{6} +(5.01435 + 28.4378i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(18.6555 + 15.6538i) q^{9} +O(q^{10})\) \(q+(-1.87939 + 0.684040i) q^{2} +(-6.73393 - 2.45095i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-2.75980 - 15.6516i) q^{5} +14.3322 q^{6} +(5.01435 + 28.4378i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(18.6555 + 15.6538i) q^{9} +(15.8931 + 27.5276i) q^{10} +(-0.433038 + 0.750044i) q^{11} +(-26.9357 + 9.80380i) q^{12} +(-52.8199 + 44.3212i) q^{13} +(-28.8765 - 50.0155i) q^{14} +(-19.7770 + 112.161i) q^{15} +(2.77837 - 15.7569i) q^{16} +(47.0412 + 39.4723i) q^{17} +(-45.7687 - 16.6584i) q^{18} +(98.8344 + 35.9728i) q^{19} +(-48.6991 - 40.8634i) q^{20} +(35.9333 - 203.788i) q^{21} +(0.300785 - 1.70584i) q^{22} +(30.1411 + 52.2060i) q^{23} +(43.9164 - 36.8503i) q^{24} +(-119.895 + 43.6381i) q^{25} +(68.9515 - 119.427i) q^{26} +(9.48428 + 16.4273i) q^{27} +(88.4826 + 74.2457i) q^{28} +(15.3095 - 26.5167i) q^{29} +(-39.5540 - 224.322i) q^{30} -322.240 q^{31} +(5.55674 + 31.5138i) q^{32} +(4.75437 - 3.98939i) q^{33} +(-115.409 - 42.0055i) q^{34} +(431.258 - 156.965i) q^{35} +97.4121 q^{36} +(-167.535 - 150.283i) q^{37} -210.355 q^{38} +(464.315 - 168.997i) q^{39} +(119.477 + 43.4860i) q^{40} +(-342.179 + 287.123i) q^{41} +(71.8666 + 407.576i) q^{42} +174.447 q^{43} +(0.601570 + 3.41167i) q^{44} +(193.522 - 335.190i) q^{45} +(-92.3578 - 77.4974i) q^{46} +(60.9935 + 105.644i) q^{47} +(-57.3288 + 99.2964i) q^{48} +(-461.249 + 167.881i) q^{49} +(195.478 - 164.025i) q^{50} +(-220.028 - 381.099i) q^{51} +(-47.8932 + 271.616i) q^{52} +(-42.6097 + 241.652i) q^{53} +(-29.0615 - 24.3855i) q^{54} +(12.9345 + 4.70777i) q^{55} +(-217.080 - 79.0107i) q^{56} +(-577.377 - 484.476i) q^{57} +(-10.6338 + 60.3075i) q^{58} +(25.1251 - 142.491i) q^{59} +(227.782 + 394.531i) q^{60} +(-95.3712 + 80.0259i) q^{61} +(605.614 - 220.425i) q^{62} +(-351.615 + 609.014i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(839.470 + 704.399i) q^{65} +(-6.20639 + 10.7498i) q^{66} +(130.518 + 740.207i) q^{67} +245.632 q^{68} +(-75.0141 - 425.426i) q^{69} +(-703.130 + 589.996i) q^{70} +(206.389 + 75.1193i) q^{71} +(-183.075 + 66.6338i) q^{72} -377.863 q^{73} +(417.663 + 167.838i) q^{74} +914.317 q^{75} +(395.338 - 143.891i) q^{76} +(-23.5010 - 8.55366i) q^{77} +(-757.026 + 635.220i) q^{78} +(221.449 + 1255.90i) q^{79} -254.289 q^{80} +(-137.783 - 781.408i) q^{81} +(446.684 - 773.679i) q^{82} +(-767.770 - 644.235i) q^{83} +(-413.863 - 716.833i) q^{84} +(487.980 - 845.206i) q^{85} +(-327.852 + 119.328i) q^{86} +(-168.084 + 141.039i) q^{87} +(-3.46431 - 6.00035i) q^{88} +(168.268 - 954.295i) q^{89} +(-134.419 + 762.327i) q^{90} +(-1525.25 - 1279.84i) q^{91} +(226.587 + 82.4710i) q^{92} +(2169.95 + 789.796i) q^{93} +(-186.895 - 156.823i) q^{94} +(290.268 - 1646.19i) q^{95} +(39.8202 - 225.831i) q^{96} +(544.027 + 942.283i) q^{97} +(752.027 - 631.025i) q^{98} +(-19.8196 + 7.21374i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 6q^{3} - 6q^{5} - 36q^{6} - 75q^{7} - 120q^{8} - 48q^{9} + O(q^{10}) \) \( 30q + 6q^{3} - 6q^{5} - 36q^{6} - 75q^{7} - 120q^{8} - 48q^{9} + 54q^{10} - 21q^{11} + 24q^{12} - 159q^{13} + 6q^{14} - 69q^{15} - 171q^{17} + 192q^{18} - 45q^{19} - 24q^{20} + 579q^{21} + 42q^{22} + 459q^{23} + 48q^{24} - 204q^{25} + 264q^{26} + 435q^{27} + 96q^{28} + 273q^{29} - 138q^{30} - 258q^{31} - 318q^{33} - 558q^{34} - 753q^{35} + 1296q^{36} - 891q^{37} - 2556q^{38} - 504q^{39} + 96q^{40} + 648q^{41} + 1158q^{42} - 216q^{43} + 84q^{44} + 1731q^{45} - 6q^{46} + 48q^{47} + 144q^{48} + 1731q^{49} + 240q^{50} + 972q^{51} + 48q^{52} - 135q^{53} + 360q^{54} + 765q^{55} + 408q^{56} - 405q^{57} - 762q^{58} + 1836q^{59} + 108q^{60} - 684q^{61} - 204q^{62} - 3264q^{63} - 960q^{64} - 1350q^{65} + 252q^{66} + 1095q^{67} - 432q^{68} - 5823q^{69} - 1146q^{70} + 4179q^{71} + 768q^{72} - 2658q^{73} - 1692q^{74} - 10416q^{75} - 180q^{76} + 267q^{77} + 1530q^{78} + 4866q^{79} - 864q^{80} - 2076q^{81} + 1800q^{82} - 186q^{83} + 504q^{84} + 753q^{85} + 648q^{86} - 525q^{87} - 168q^{88} + 687q^{89} + 768q^{90} + 3990q^{91} + 132q^{92} + 3753q^{93} + 6210q^{94} + 9000q^{95} - 384q^{96} + 7428q^{97} - 1542q^{98} + 6324q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.87939 + 0.684040i −0.664463 + 0.241845i
\(3\) −6.73393 2.45095i −1.29595 0.471686i −0.400272 0.916396i \(-0.631084\pi\)
−0.895674 + 0.444711i \(0.853306\pi\)
\(4\) 3.06418 2.57115i 0.383022 0.321394i
\(5\) −2.75980 15.6516i −0.246844 1.39992i −0.816171 0.577811i \(-0.803907\pi\)
0.569327 0.822111i \(-0.307204\pi\)
\(6\) 14.3322 0.975183
\(7\) 5.01435 + 28.4378i 0.270749 + 1.53550i 0.752148 + 0.658994i \(0.229018\pi\)
−0.481399 + 0.876502i \(0.659871\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) 18.6555 + 15.6538i 0.690944 + 0.579771i
\(10\) 15.8931 + 27.5276i 0.502583 + 0.870498i
\(11\) −0.433038 + 0.750044i −0.0118696 + 0.0205588i −0.871899 0.489685i \(-0.837112\pi\)
0.860030 + 0.510244i \(0.170445\pi\)
\(12\) −26.9357 + 9.80380i −0.647973 + 0.235843i
\(13\) −52.8199 + 44.3212i −1.12689 + 0.945575i −0.998932 0.0462039i \(-0.985288\pi\)
−0.127961 + 0.991779i \(0.540843\pi\)
\(14\) −28.8765 50.0155i −0.551254 0.954801i
\(15\) −19.7770 + 112.161i −0.340427 + 1.93066i
\(16\) 2.77837 15.7569i 0.0434120 0.246202i
\(17\) 47.0412 + 39.4723i 0.671128 + 0.563143i 0.913399 0.407065i \(-0.133448\pi\)
−0.242271 + 0.970209i \(0.577892\pi\)
\(18\) −45.7687 16.6584i −0.599321 0.218135i
\(19\) 98.8344 + 35.9728i 1.19338 + 0.434354i 0.860908 0.508761i \(-0.169896\pi\)
0.332469 + 0.943114i \(0.392118\pi\)
\(20\) −48.6991 40.8634i −0.544473 0.456867i
\(21\) 35.9333 203.788i 0.373395 2.11763i
\(22\) 0.300785 1.70584i 0.00291489 0.0165312i
\(23\) 30.1411 + 52.2060i 0.273255 + 0.473291i 0.969693 0.244325i \(-0.0785665\pi\)
−0.696439 + 0.717616i \(0.745233\pi\)
\(24\) 43.9164 36.8503i 0.373517 0.313418i
\(25\) −119.895 + 43.6381i −0.959157 + 0.349105i
\(26\) 68.9515 119.427i 0.520096 0.900833i
\(27\) 9.48428 + 16.4273i 0.0676019 + 0.117090i
\(28\) 88.4826 + 74.2457i 0.597202 + 0.501112i
\(29\) 15.3095 26.5167i 0.0980308 0.169794i −0.812839 0.582489i \(-0.802079\pi\)
0.910869 + 0.412695i \(0.135412\pi\)
\(30\) −39.5540 224.322i −0.240718 1.36518i
\(31\) −322.240 −1.86697 −0.933485 0.358616i \(-0.883249\pi\)
−0.933485 + 0.358616i \(0.883249\pi\)
\(32\) 5.55674 + 31.5138i 0.0306970 + 0.174091i
\(33\) 4.75437 3.98939i 0.0250797 0.0210444i
\(34\) −115.409 42.0055i −0.582133 0.211879i
\(35\) 431.258 156.965i 2.08274 0.758056i
\(36\) 97.4121 0.450982
\(37\) −167.535 150.283i −0.744396 0.667739i
\(38\) −210.355 −0.898001
\(39\) 464.315 168.997i 1.90641 0.693875i
\(40\) 119.477 + 43.4860i 0.472273 + 0.171893i
\(41\) −342.179 + 287.123i −1.30340 + 1.09368i −0.313855 + 0.949471i \(0.601620\pi\)
−0.989547 + 0.144213i \(0.953935\pi\)
\(42\) 71.8666 + 407.576i 0.264030 + 1.49739i
\(43\) 174.447 0.618671 0.309336 0.950953i \(-0.399893\pi\)
0.309336 + 0.950953i \(0.399893\pi\)
\(44\) 0.601570 + 3.41167i 0.00206114 + 0.0116893i
\(45\) 193.522 335.190i 0.641079 1.11038i
\(46\) −92.3578 77.4974i −0.296031 0.248399i
\(47\) 60.9935 + 105.644i 0.189294 + 0.327867i 0.945015 0.327027i \(-0.106047\pi\)
−0.755721 + 0.654894i \(0.772713\pi\)
\(48\) −57.3288 + 99.2964i −0.172390 + 0.298588i
\(49\) −461.249 + 167.881i −1.34475 + 0.489448i
\(50\) 195.478 164.025i 0.552895 0.463934i
\(51\) −220.028 381.099i −0.604119 1.04636i
\(52\) −47.8932 + 271.616i −0.127723 + 0.724353i
\(53\) −42.6097 + 241.652i −0.110432 + 0.626291i 0.878479 + 0.477781i \(0.158559\pi\)
−0.988911 + 0.148510i \(0.952552\pi\)
\(54\) −29.0615 24.3855i −0.0732365 0.0614527i
\(55\) 12.9345 + 4.70777i 0.0317107 + 0.0115417i
\(56\) −217.080 79.0107i −0.518010 0.188540i
\(57\) −577.377 484.476i −1.34167 1.12580i
\(58\) −10.6338 + 60.3075i −0.0240740 + 0.136530i
\(59\) 25.1251 142.491i 0.0554408 0.314420i −0.944458 0.328631i \(-0.893413\pi\)
0.999899 + 0.0142112i \(0.00452371\pi\)
\(60\) 227.782 + 394.531i 0.490110 + 0.848895i
\(61\) −95.3712 + 80.0259i −0.200181 + 0.167972i −0.737368 0.675492i \(-0.763931\pi\)
0.537187 + 0.843463i \(0.319487\pi\)
\(62\) 605.614 220.425i 1.24053 0.451517i
\(63\) −351.615 + 609.014i −0.703163 + 1.21791i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) 839.470 + 704.399i 1.60190 + 1.34415i
\(66\) −6.20639 + 10.7498i −0.0115751 + 0.0200486i
\(67\) 130.518 + 740.207i 0.237990 + 1.34971i 0.836224 + 0.548389i \(0.184759\pi\)
−0.598233 + 0.801322i \(0.704130\pi\)
\(68\) 245.632 0.438048
\(69\) −75.0141 425.426i −0.130879 0.742250i
\(70\) −703.130 + 589.996i −1.20057 + 1.00740i
\(71\) 206.389 + 75.1193i 0.344983 + 0.125564i 0.508700 0.860944i \(-0.330126\pi\)
−0.163717 + 0.986507i \(0.552348\pi\)
\(72\) −183.075 + 66.6338i −0.299661 + 0.109068i
\(73\) −377.863 −0.605830 −0.302915 0.953018i \(-0.597960\pi\)
−0.302915 + 0.953018i \(0.597960\pi\)
\(74\) 417.663 + 167.838i 0.656113 + 0.263659i
\(75\) 914.317 1.40768
\(76\) 395.338 143.891i 0.596688 0.217177i
\(77\) −23.5010 8.55366i −0.0347816 0.0126595i
\(78\) −757.026 + 635.220i −1.09893 + 0.922109i
\(79\) 221.449 + 1255.90i 0.315380 + 1.78861i 0.570083 + 0.821587i \(0.306911\pi\)
−0.254703 + 0.967019i \(0.581978\pi\)
\(80\) −254.289 −0.355380
\(81\) −137.783 781.408i −0.189003 1.07189i
\(82\) 446.684 773.679i 0.601560 1.04193i
\(83\) −767.770 644.235i −1.01535 0.851976i −0.0263100 0.999654i \(-0.508376\pi\)
−0.989036 + 0.147678i \(0.952820\pi\)
\(84\) −413.863 716.833i −0.537574 0.931105i
\(85\) 487.980 845.206i 0.622693 1.07854i
\(86\) −327.852 + 119.328i −0.411084 + 0.149622i
\(87\) −168.084 + 141.039i −0.207132 + 0.173805i
\(88\) −3.46431 6.00035i −0.00419655 0.00726863i
\(89\) 168.268 954.295i 0.200409 1.13657i −0.704094 0.710106i \(-0.748647\pi\)
0.904503 0.426467i \(-0.140242\pi\)
\(90\) −134.419 + 762.327i −0.157433 + 0.892849i
\(91\) −1525.25 1279.84i −1.75703 1.47432i
\(92\) 226.587 + 82.4710i 0.256775 + 0.0934586i
\(93\) 2169.95 + 789.796i 2.41949 + 0.880623i
\(94\) −186.895 156.823i −0.205072 0.172075i
\(95\) 290.268 1646.19i 0.313483 1.77785i
\(96\) 39.8202 225.831i 0.0423347 0.240092i
\(97\) 544.027 + 942.283i 0.569460 + 0.986333i 0.996619 + 0.0821571i \(0.0261809\pi\)
−0.427160 + 0.904176i \(0.640486\pi\)
\(98\) 752.027 631.025i 0.775165 0.650441i
\(99\) −19.8196 + 7.21374i −0.0201206 + 0.00732332i
\(100\) −255.178 + 441.982i −0.255178 + 0.441982i
\(101\) −747.409 1294.55i −0.736336 1.27537i −0.954135 0.299378i \(-0.903221\pi\)
0.217798 0.975994i \(-0.430112\pi\)
\(102\) 674.205 + 565.725i 0.654473 + 0.549168i
\(103\) −349.807 + 605.883i −0.334636 + 0.579606i −0.983415 0.181371i \(-0.941947\pi\)
0.648779 + 0.760977i \(0.275280\pi\)
\(104\) −95.7864 543.232i −0.0903137 0.512195i
\(105\) −3288.78 −3.05668
\(106\) −85.2194 483.303i −0.0780872 0.442854i
\(107\) −1260.61 + 1057.77i −1.13895 + 0.955690i −0.999404 0.0345263i \(-0.989008\pi\)
−0.139543 + 0.990216i \(0.544563\pi\)
\(108\) 71.2985 + 25.9505i 0.0635250 + 0.0231212i
\(109\) 1483.07 539.793i 1.30323 0.474338i 0.405184 0.914235i \(-0.367207\pi\)
0.898048 + 0.439897i \(0.144985\pi\)
\(110\) −27.5292 −0.0238619
\(111\) 759.836 + 1422.61i 0.649734 + 1.21647i
\(112\) 462.024 0.389796
\(113\) 711.549 258.983i 0.592362 0.215602i −0.0284061 0.999596i \(-0.509043\pi\)
0.620768 + 0.783994i \(0.286821\pi\)
\(114\) 1416.51 + 515.569i 1.16376 + 0.423574i
\(115\) 733.923 615.835i 0.595119 0.499364i
\(116\) −21.2677 120.615i −0.0170229 0.0965415i
\(117\) −1679.18 −1.32684
\(118\) 50.2502 + 284.983i 0.0392026 + 0.222329i
\(119\) −886.623 + 1535.68i −0.682996 + 1.18298i
\(120\) −697.966 585.663i −0.530961 0.445529i
\(121\) 665.125 + 1152.03i 0.499718 + 0.865537i
\(122\) 124.498 215.637i 0.0923897 0.160024i
\(123\) 3007.94 1094.80i 2.20501 0.802559i
\(124\) −987.402 + 828.529i −0.715091 + 0.600033i
\(125\) 20.5750 + 35.6369i 0.0147223 + 0.0254997i
\(126\) 244.229 1385.09i 0.172680 0.979315i
\(127\) 153.989 873.315i 0.107593 0.610191i −0.882560 0.470200i \(-0.844182\pi\)
0.990153 0.139990i \(-0.0447072\pi\)
\(128\) 98.0537 + 82.2768i 0.0677094 + 0.0568149i
\(129\) −1174.71 427.560i −0.801764 0.291818i
\(130\) −2059.52 749.605i −1.38948 0.505729i
\(131\) 1134.45 + 951.918i 0.756622 + 0.634882i 0.937245 0.348671i \(-0.113367\pi\)
−0.180623 + 0.983552i \(0.557811\pi\)
\(132\) 4.31091 24.4484i 0.00284255 0.0161209i
\(133\) −527.396 + 2991.01i −0.343842 + 1.95003i
\(134\) −751.625 1301.85i −0.484556 0.839276i
\(135\) 230.938 193.780i 0.147230 0.123540i
\(136\) −461.637 + 168.022i −0.291066 + 0.105940i
\(137\) 343.767 595.423i 0.214380 0.371317i −0.738701 0.674034i \(-0.764560\pi\)
0.953081 + 0.302717i \(0.0978936\pi\)
\(138\) 431.989 + 748.226i 0.266473 + 0.461545i
\(139\) −217.984 182.910i −0.133015 0.111613i 0.573853 0.818958i \(-0.305448\pi\)
−0.706868 + 0.707345i \(0.749893\pi\)
\(140\) 917.871 1589.80i 0.554102 0.959732i
\(141\) −151.798 860.890i −0.0906646 0.514185i
\(142\) −439.268 −0.259596
\(143\) −10.3698 58.8100i −0.00606410 0.0343912i
\(144\) 298.488 250.461i 0.172736 0.144943i
\(145\) −457.281 166.437i −0.261897 0.0953228i
\(146\) 710.151 258.474i 0.402551 0.146517i
\(147\) 3517.48 1.97359
\(148\) −899.758 29.7344i −0.499727 0.0165145i
\(149\) 522.815 0.287454 0.143727 0.989617i \(-0.454091\pi\)
0.143727 + 0.989617i \(0.454091\pi\)
\(150\) −1718.35 + 625.430i −0.935353 + 0.340441i
\(151\) −1253.14 456.107i −0.675360 0.245811i −0.0185060 0.999829i \(-0.505891\pi\)
−0.656854 + 0.754018i \(0.728113\pi\)
\(152\) −644.564 + 540.854i −0.343954 + 0.288612i
\(153\) 259.686 + 1472.75i 0.137218 + 0.778201i
\(154\) 50.0185 0.0261727
\(155\) 889.319 + 5043.58i 0.460851 + 2.61361i
\(156\) 988.227 1711.66i 0.507189 0.878477i
\(157\) −937.081 786.304i −0.476352 0.399707i 0.372753 0.927930i \(-0.378414\pi\)
−0.849105 + 0.528224i \(0.822858\pi\)
\(158\) −1275.28 2208.84i −0.642123 1.11219i
\(159\) 879.207 1522.83i 0.438526 0.759550i
\(160\) 477.907 173.944i 0.236137 0.0859467i
\(161\) −1333.48 + 1118.93i −0.652753 + 0.547725i
\(162\) 793.462 + 1374.32i 0.384816 + 0.666522i
\(163\) −501.432 + 2843.76i −0.240952 + 1.36651i 0.588756 + 0.808311i \(0.299618\pi\)
−0.829708 + 0.558197i \(0.811493\pi\)
\(164\) −310.263 + 1759.59i −0.147729 + 0.837810i
\(165\) −75.5615 63.4036i −0.0356512 0.0299149i
\(166\) 1883.62 + 685.581i 0.880705 + 0.320551i
\(167\) −2540.06 924.507i −1.17698 0.428386i −0.321847 0.946792i \(-0.604304\pi\)
−0.855135 + 0.518405i \(0.826526\pi\)
\(168\) 1268.15 + 1064.11i 0.582381 + 0.488676i
\(169\) 444.072 2518.46i 0.202126 1.14632i
\(170\) −338.947 + 1922.27i −0.152918 + 0.867242i
\(171\) 1280.69 + 2218.23i 0.572731 + 0.991999i
\(172\) 534.535 448.528i 0.236965 0.198837i
\(173\) −1152.23 + 419.377i −0.506372 + 0.184304i −0.582558 0.812789i \(-0.697948\pi\)
0.0761856 + 0.997094i \(0.475726\pi\)
\(174\) 219.418 380.043i 0.0955980 0.165581i
\(175\) −1842.16 3190.72i −0.795739 1.37826i
\(176\) 10.6152 + 8.90725i 0.00454633 + 0.00381483i
\(177\) −518.430 + 897.947i −0.220156 + 0.381321i
\(178\) 336.536 + 1908.59i 0.141710 + 0.803679i
\(179\) −773.588 −0.323021 −0.161510 0.986871i \(-0.551637\pi\)
−0.161510 + 0.986871i \(0.551637\pi\)
\(180\) −268.838 1524.65i −0.111322 0.631339i
\(181\) 285.724 239.751i 0.117335 0.0984560i −0.582232 0.813023i \(-0.697821\pi\)
0.699567 + 0.714567i \(0.253376\pi\)
\(182\) 3742.00 + 1361.98i 1.52404 + 0.554705i
\(183\) 838.363 305.139i 0.338653 0.123260i
\(184\) −482.258 −0.193220
\(185\) −1889.80 + 3036.95i −0.751032 + 1.20692i
\(186\) −4618.42 −1.82064
\(187\) −49.9766 + 18.1900i −0.0195436 + 0.00711329i
\(188\) 458.521 + 166.888i 0.177878 + 0.0647423i
\(189\) −419.597 + 352.084i −0.161488 + 0.135504i
\(190\) 580.537 + 3292.39i 0.221666 + 1.25713i
\(191\) 1913.11 0.724752 0.362376 0.932032i \(-0.381966\pi\)
0.362376 + 0.932032i \(0.381966\pi\)
\(192\) 79.6404 + 451.663i 0.0299351 + 0.169771i
\(193\) −799.138 + 1384.15i −0.298048 + 0.516234i −0.975689 0.219159i \(-0.929669\pi\)
0.677642 + 0.735392i \(0.263002\pi\)
\(194\) −1667.00 1398.78i −0.616925 0.517661i
\(195\) −3926.49 6800.87i −1.44196 2.49754i
\(196\) −981.701 + 1700.36i −0.357763 + 0.619663i
\(197\) 3829.69 1393.89i 1.38505 0.504115i 0.461342 0.887223i \(-0.347368\pi\)
0.923704 + 0.383107i \(0.125146\pi\)
\(198\) 32.3142 27.1148i 0.0115983 0.00973215i
\(199\) −558.999 968.214i −0.199127 0.344899i 0.749118 0.662436i \(-0.230477\pi\)
−0.948246 + 0.317537i \(0.897144\pi\)
\(200\) 177.245 1005.21i 0.0626656 0.355394i
\(201\) 935.308 5304.40i 0.328217 1.86141i
\(202\) 2290.19 + 1921.70i 0.797710 + 0.669358i
\(203\) 830.844 + 302.403i 0.287260 + 0.104554i
\(204\) −1654.07 602.032i −0.567686 0.206621i
\(205\) 5438.28 + 4563.26i 1.85281 + 1.55469i
\(206\) 242.973 1377.97i 0.0821783 0.466056i
\(207\) −254.925 + 1445.75i −0.0855967 + 0.485443i
\(208\) 551.612 + 955.420i 0.183882 + 0.318493i
\(209\) −69.7802 + 58.5526i −0.0230947 + 0.0193788i
\(210\) 6180.88 2249.66i 2.03105 0.739243i
\(211\) 1848.88 3202.35i 0.603231 1.04483i −0.389097 0.921197i \(-0.627213\pi\)
0.992328 0.123631i \(-0.0394538\pi\)
\(212\) 490.759 + 850.020i 0.158988 + 0.275375i
\(213\) −1205.69 1011.70i −0.387853 0.325447i
\(214\) 1645.60 2850.27i 0.525659 0.910469i
\(215\) −481.438 2730.37i −0.152715 0.866091i
\(216\) −151.748 −0.0478017
\(217\) −1615.83 9163.80i −0.505481 2.86672i
\(218\) −2418.02 + 2028.96i −0.751233 + 0.630360i
\(219\) 2544.51 + 926.125i 0.785123 + 0.285761i
\(220\) 51.7380 18.8311i 0.0158553 0.00577087i
\(221\) −4234.17 −1.28878
\(222\) −2401.15 2153.88i −0.725922 0.651167i
\(223\) −2543.94 −0.763922 −0.381961 0.924178i \(-0.624751\pi\)
−0.381961 + 0.924178i \(0.624751\pi\)
\(224\) −868.320 + 316.043i −0.259005 + 0.0942700i
\(225\) −2919.80 1062.72i −0.865125 0.314880i
\(226\) −1160.12 + 973.456i −0.341460 + 0.286519i
\(227\) −733.420 4159.43i −0.214444 1.21617i −0.881868 0.471496i \(-0.843714\pi\)
0.667424 0.744678i \(-0.267397\pi\)
\(228\) −3014.85 −0.875715
\(229\) 88.4186 + 501.447i 0.0255147 + 0.144701i 0.994904 0.100828i \(-0.0321493\pi\)
−0.969389 + 0.245529i \(0.921038\pi\)
\(230\) −958.069 + 1659.42i −0.274666 + 0.475736i
\(231\) 137.289 + 115.200i 0.0391038 + 0.0328120i
\(232\) 122.476 + 212.134i 0.0346591 + 0.0600314i
\(233\) −499.953 + 865.944i −0.140571 + 0.243476i −0.927712 0.373297i \(-0.878227\pi\)
0.787141 + 0.616773i \(0.211560\pi\)
\(234\) 3155.82 1148.62i 0.881634 0.320889i
\(235\) 1485.16 1246.20i 0.412262 0.345928i
\(236\) −289.379 501.219i −0.0798177 0.138248i
\(237\) 1586.93 8999.91i 0.434945 2.46670i
\(238\) 615.842 3492.61i 0.167727 0.951229i
\(239\) 1290.09 + 1082.51i 0.349158 + 0.292978i 0.800452 0.599397i \(-0.204593\pi\)
−0.451294 + 0.892375i \(0.649037\pi\)
\(240\) 1712.36 + 623.250i 0.460553 + 0.167627i
\(241\) 5348.84 + 1946.82i 1.42966 + 0.520355i 0.936835 0.349771i \(-0.113741\pi\)
0.492829 + 0.870126i \(0.335963\pi\)
\(242\) −2038.06 1710.14i −0.541370 0.454263i
\(243\) −898.435 + 5095.28i −0.237179 + 1.34511i
\(244\) −86.4756 + 490.427i −0.0226886 + 0.128674i
\(245\) 3900.56 + 6755.96i 1.01713 + 1.76173i
\(246\) −4904.19 + 4115.10i −1.27105 + 1.06654i
\(247\) −6814.78 + 2480.38i −1.75552 + 0.638958i
\(248\) 1288.96 2232.55i 0.330037 0.571641i
\(249\) 3591.12 + 6220.00i 0.913968 + 1.58304i
\(250\) −63.0454 52.9014i −0.0159494 0.0133831i
\(251\) −1899.13 + 3289.38i −0.477577 + 0.827187i −0.999670 0.0257014i \(-0.991818\pi\)
0.522093 + 0.852889i \(0.325151\pi\)
\(252\) 488.458 + 2770.18i 0.122103 + 0.692480i
\(253\) −52.2090 −0.0129737
\(254\) 307.978 + 1746.63i 0.0760798 + 0.431470i
\(255\) −5357.58 + 4495.55i −1.31571 + 1.10401i
\(256\) −240.561 87.5572i −0.0587308 0.0213763i
\(257\) 1654.63 602.234i 0.401606 0.146173i −0.133317 0.991073i \(-0.542563\pi\)
0.534923 + 0.844901i \(0.320341\pi\)
\(258\) 2500.20 0.603317
\(259\) 3433.63 5517.90i 0.823765 1.32381i
\(260\) 4383.40 1.04556
\(261\) 700.694 255.032i 0.166176 0.0604830i
\(262\) −2783.22 1013.01i −0.656290 0.238870i
\(263\) 666.581 559.328i 0.156286 0.131139i −0.561292 0.827618i \(-0.689695\pi\)
0.717577 + 0.696479i \(0.245251\pi\)
\(264\) 8.62183 + 48.8968i 0.00200999 + 0.0113992i
\(265\) 3899.83 0.904018
\(266\) −1054.79 5982.02i −0.243133 1.37888i
\(267\) −3472.03 + 6013.74i −0.795824 + 1.37841i
\(268\) 2303.11 + 1932.54i 0.524944 + 0.440481i
\(269\) 1774.89 + 3074.20i 0.402294 + 0.696793i 0.994002 0.109359i \(-0.0348797\pi\)
−0.591709 + 0.806152i \(0.701546\pi\)
\(270\) −301.468 + 522.158i −0.0679510 + 0.117695i
\(271\) 5176.50 1884.09i 1.16033 0.422326i 0.311116 0.950372i \(-0.399297\pi\)
0.849216 + 0.528046i \(0.177075\pi\)
\(272\) 752.660 631.557i 0.167782 0.140786i
\(273\) 7134.13 + 12356.7i 1.58160 + 2.73941i
\(274\) −238.778 + 1354.18i −0.0526465 + 0.298573i
\(275\) 19.1885 108.823i 0.00420767 0.0238629i
\(276\) −1323.69 1110.71i −0.288684 0.242235i
\(277\) −4243.42 1544.48i −0.920443 0.335014i −0.162028 0.986786i \(-0.551804\pi\)
−0.758415 + 0.651772i \(0.774026\pi\)
\(278\) 534.793 + 194.649i 0.115377 + 0.0419937i
\(279\) −6011.55 5044.29i −1.28997 1.08242i
\(280\) −637.546 + 3615.70i −0.136074 + 0.771713i
\(281\) 253.385 1437.02i 0.0537925 0.305072i −0.946027 0.324089i \(-0.894942\pi\)
0.999819 + 0.0190165i \(0.00605350\pi\)
\(282\) 874.171 + 1514.11i 0.184596 + 0.319730i
\(283\) −57.3757 + 48.1439i −0.0120517 + 0.0101126i −0.648794 0.760964i \(-0.724726\pi\)
0.636742 + 0.771077i \(0.280282\pi\)
\(284\) 825.554 300.477i 0.172492 0.0627818i
\(285\) −5989.39 + 10373.9i −1.24485 + 2.15613i
\(286\) 59.7173 + 103.433i 0.0123467 + 0.0213851i
\(287\) −9880.94 8291.09i −2.03224 1.70525i
\(288\) −389.648 + 674.891i −0.0797231 + 0.138084i
\(289\) −198.317 1124.71i −0.0403657 0.228925i
\(290\) 973.256 0.197074
\(291\) −1353.95 7678.65i −0.272750 1.54684i
\(292\) −1157.84 + 971.544i −0.232046 + 0.194710i
\(293\) −6142.13 2235.55i −1.22466 0.445742i −0.352898 0.935662i \(-0.614804\pi\)
−0.871767 + 0.489920i \(0.837026\pi\)
\(294\) −6610.71 + 2406.10i −1.31138 + 0.477302i
\(295\) −2299.56 −0.453849
\(296\) 1711.33 559.588i 0.336044 0.109883i
\(297\) −16.4282 −0.00320964
\(298\) −982.570 + 357.626i −0.191003 + 0.0695192i
\(299\) −3905.88 1421.62i −0.755461 0.274965i
\(300\) 2801.63 2350.85i 0.539174 0.452421i
\(301\) 874.736 + 4960.87i 0.167505 + 0.949966i
\(302\) 2667.13 0.508200
\(303\) 1860.12 + 10549.3i 0.352677 + 2.00013i
\(304\) 841.419 1457.38i 0.158746 0.274956i
\(305\) 1515.74 + 1271.86i 0.284561 + 0.238775i
\(306\) −1495.47 2590.23i −0.279380 0.483900i
\(307\) 2786.88 4827.03i 0.518097 0.897371i −0.481682 0.876346i \(-0.659974\pi\)
0.999779 0.0210247i \(-0.00669286\pi\)
\(308\) −94.0039 + 34.2146i −0.0173908 + 0.00632974i
\(309\) 3840.56 3222.61i 0.707061 0.593295i
\(310\) −5121.38 8870.50i −0.938307 1.62520i
\(311\) −1063.93 + 6033.85i −0.193987 + 1.10015i 0.719867 + 0.694112i \(0.244203\pi\)
−0.913854 + 0.406043i \(0.866908\pi\)
\(312\) −686.415 + 3892.85i −0.124553 + 0.706376i
\(313\) 5069.05 + 4253.44i 0.915398 + 0.768110i 0.973138 0.230221i \(-0.0739450\pi\)
−0.0577400 + 0.998332i \(0.518389\pi\)
\(314\) 2299.00 + 836.768i 0.413185 + 0.150387i
\(315\) 10502.4 + 3822.57i 1.87856 + 0.683739i
\(316\) 3907.67 + 3278.92i 0.695644 + 0.583715i
\(317\) 1220.80 6923.49i 0.216299 1.22669i −0.662339 0.749204i \(-0.730436\pi\)
0.878638 0.477489i \(-0.158453\pi\)
\(318\) −610.691 + 3463.40i −0.107691 + 0.610748i
\(319\) 13.2592 + 22.9655i 0.00232718 + 0.00403079i
\(320\) −779.186 + 653.815i −0.136118 + 0.114217i
\(321\) 11081.4 4033.29i 1.92680 0.701297i
\(322\) 1740.74 3015.05i 0.301266 0.521808i
\(323\) 3229.36 + 5593.42i 0.556305 + 0.963549i
\(324\) −2431.31 2040.11i −0.416891 0.349813i
\(325\) 4398.73 7618.83i 0.750762 1.30036i
\(326\) −1002.86 5687.53i −0.170379 0.966267i
\(327\) −11309.9 −1.91266
\(328\) −620.526 3519.18i −0.104460 0.592421i
\(329\) −2698.43 + 2264.25i −0.452186 + 0.379429i
\(330\) 185.380 + 67.4727i 0.0309237 + 0.0112553i
\(331\) −2152.09 + 783.296i −0.357370 + 0.130072i −0.514465 0.857511i \(-0.672009\pi\)
0.157095 + 0.987584i \(0.449787\pi\)
\(332\) −4009.01 −0.662720
\(333\) −772.956 5426.17i −0.127200 0.892949i
\(334\) 5406.16 0.885664
\(335\) 11225.2 4085.64i 1.83074 0.666336i
\(336\) −3111.24 1132.40i −0.505154 0.183861i
\(337\) 718.011 602.483i 0.116061 0.0973867i −0.582910 0.812537i \(-0.698086\pi\)
0.698971 + 0.715150i \(0.253642\pi\)
\(338\) 888.144 + 5036.91i 0.142925 + 0.810568i
\(339\) −5426.28 −0.869365
\(340\) −677.895 3844.53i −0.108129 0.613233i
\(341\) 139.542 241.695i 0.0221603 0.0383827i
\(342\) −3924.27 3292.85i −0.620469 0.520635i
\(343\) −2134.70 3697.41i −0.336044 0.582045i
\(344\) −697.786 + 1208.60i −0.109367 + 0.189429i
\(345\) −6451.57 + 2348.18i −1.00679 + 0.366440i
\(346\) 1878.61 1576.34i 0.291893 0.244927i
\(347\) 6298.07 + 10908.6i 0.974346 + 1.68762i 0.682078 + 0.731280i \(0.261077\pi\)
0.292268 + 0.956337i \(0.405590\pi\)
\(348\) −152.406 + 864.339i −0.0234765 + 0.133142i
\(349\) −1748.75 + 9917.68i −0.268220 + 1.52115i 0.491488 + 0.870884i \(0.336453\pi\)
−0.759708 + 0.650265i \(0.774658\pi\)
\(350\) 5644.71 + 4736.48i 0.862065 + 0.723358i
\(351\) −1229.03 447.332i −0.186897 0.0680251i
\(352\) −26.0431 9.47890i −0.00394347 0.00143530i
\(353\) −2066.63 1734.11i −0.311602 0.261465i 0.473552 0.880766i \(-0.342972\pi\)
−0.785154 + 0.619301i \(0.787416\pi\)
\(354\) 360.098 2042.22i 0.0540649 0.306617i
\(355\) 606.146 3437.63i 0.0906222 0.513944i
\(356\) −1938.03 3356.77i −0.288527 0.499743i
\(357\) 9734.32 8168.07i 1.44312 1.21092i
\(358\) 1453.87 529.166i 0.214635 0.0781209i
\(359\) −188.511 + 326.510i −0.0277137 + 0.0480015i −0.879550 0.475807i \(-0.842156\pi\)
0.851836 + 0.523809i \(0.175489\pi\)
\(360\) 1548.18 + 2681.52i 0.226656 + 0.392579i
\(361\) 3219.90 + 2701.81i 0.469441 + 0.393908i
\(362\) −372.986 + 646.031i −0.0541539 + 0.0937973i
\(363\) −1655.34 9387.88i −0.239346 1.35740i
\(364\) −7964.30 −1.14682
\(365\) 1042.83 + 5914.17i 0.149545 + 0.848114i
\(366\) −1366.88 + 1146.95i −0.195213 + 0.163803i
\(367\) −3679.44 1339.21i −0.523339 0.190480i 0.0668229 0.997765i \(-0.478714\pi\)
−0.590162 + 0.807285i \(0.700936\pi\)
\(368\) 906.349 329.884i 0.128388 0.0467293i
\(369\) −10878.1 −1.53466
\(370\) 1474.27 7000.29i 0.207145 0.983589i
\(371\) −7085.69 −0.991566
\(372\) 8679.78 3159.18i 1.20975 0.440312i
\(373\) −8917.62 3245.75i −1.23790 0.450559i −0.361604 0.932332i \(-0.617771\pi\)
−0.876296 + 0.481773i \(0.839993\pi\)
\(374\) 81.4826 68.3720i 0.0112657 0.00945303i
\(375\) −51.2062 290.405i −0.00705140 0.0399905i
\(376\) −975.895 −0.133851
\(377\) 366.609 + 2079.14i 0.0500831 + 0.284036i
\(378\) 547.745 948.722i 0.0745316 0.129093i
\(379\) 2254.87 + 1892.06i 0.305607 + 0.256435i 0.782674 0.622432i \(-0.213855\pi\)
−0.477066 + 0.878867i \(0.658300\pi\)
\(380\) −3343.18 5790.56i −0.451320 0.781708i
\(381\) −3177.41 + 5503.43i −0.427253 + 0.740024i
\(382\) −3595.47 + 1308.64i −0.481571 + 0.175278i
\(383\) −713.388 + 598.604i −0.0951761 + 0.0798622i −0.689134 0.724634i \(-0.742009\pi\)
0.593958 + 0.804496i \(0.297564\pi\)
\(384\) −458.631 794.371i −0.0609489 0.105567i
\(385\) −69.0205 + 391.435i −0.00913665 + 0.0518165i
\(386\) 555.075 3147.99i 0.0731932 0.415100i
\(387\) 3254.39 + 2730.75i 0.427467 + 0.358688i
\(388\) 4089.75 + 1488.55i 0.535117 + 0.194767i
\(389\) −12022.7 4375.90i −1.56703 0.570352i −0.594697 0.803950i \(-0.702728\pi\)
−0.972333 + 0.233598i \(0.924950\pi\)
\(390\) 12031.4 + 10095.6i 1.56214 + 1.31079i
\(391\) −642.813 + 3645.57i −0.0831418 + 0.471520i
\(392\) 681.882 3867.15i 0.0878578 0.498266i
\(393\) −5306.22 9190.64i −0.681077 1.17966i
\(394\) −6243.98 + 5239.32i −0.798394 + 0.669932i
\(395\) 19045.7 6932.07i 2.42606 0.883014i
\(396\) −42.1831 + 73.0633i −0.00535299 + 0.00927164i
\(397\) 2812.58 + 4871.54i 0.355566 + 0.615858i 0.987215 0.159397i \(-0.0509549\pi\)
−0.631649 + 0.775255i \(0.717622\pi\)
\(398\) 1712.87 + 1437.27i 0.215725 + 0.181015i
\(399\) 10882.3 18848.6i 1.36540 2.36494i
\(400\) 354.490 + 2010.41i 0.0443113 + 0.251302i
\(401\) 1086.88 0.135352 0.0676760 0.997707i \(-0.478442\pi\)
0.0676760 + 0.997707i \(0.478442\pi\)
\(402\) 1870.62 + 10608.8i 0.232084 + 1.31622i
\(403\) 17020.7 14282.1i 2.10388 1.76536i
\(404\) −5618.68 2045.03i −0.691930 0.251842i
\(405\) −11850.0 + 4313.06i −1.45391 + 0.529179i
\(406\) −1768.33 −0.216160
\(407\) 185.268 60.5808i 0.0225636 0.00737808i
\(408\) 3520.45 0.427177
\(409\) 8357.12 3041.74i 1.01035 0.367737i 0.216782 0.976220i \(-0.430444\pi\)
0.793567 + 0.608483i \(0.208222\pi\)
\(410\) −13342.1 4856.12i −1.60712 0.584943i
\(411\) −3774.26 + 3166.98i −0.452970 + 0.380087i
\(412\) 485.946 + 2755.94i 0.0581088 + 0.329552i
\(413\) 4178.12 0.497801
\(414\) −509.850 2891.50i −0.0605260 0.343260i
\(415\) −7964.42 + 13794.8i −0.942068 + 1.63171i
\(416\) −1690.24 1418.28i −0.199208 0.167156i
\(417\) 1019.58 + 1765.97i 0.119734 + 0.207386i
\(418\) 91.0916 157.775i 0.0106589 0.0184618i
\(419\) 3635.58 1323.24i 0.423890 0.154283i −0.121262 0.992621i \(-0.538694\pi\)
0.545152 + 0.838337i \(0.316472\pi\)
\(420\) −10077.4 + 8455.94i −1.17078 + 0.982399i
\(421\) −967.573 1675.89i −0.112011 0.194009i 0.804570 0.593858i \(-0.202396\pi\)
−0.916581 + 0.399849i \(0.869063\pi\)
\(422\) −1284.22 + 7283.15i −0.148139 + 0.840138i
\(423\) −515.865 + 2925.62i −0.0592960 + 0.336285i
\(424\) −1503.77 1261.82i −0.172240 0.144526i
\(425\) −7362.48 2679.73i −0.840313 0.305849i
\(426\) 2958.00 + 1076.62i 0.336422 + 0.122448i
\(427\) −2753.98 2310.87i −0.312118 0.261898i
\(428\) −1143.02 + 6482.41i −0.129089 + 0.732101i
\(429\) −74.3110 + 421.439i −0.00836310 + 0.0474295i
\(430\) 2772.49 + 4802.09i 0.310933 + 0.538552i
\(431\) 6702.44 5624.01i 0.749061 0.628536i −0.186194 0.982513i \(-0.559615\pi\)
0.935254 + 0.353977i \(0.115171\pi\)
\(432\) 285.194 103.802i 0.0317625 0.0115606i
\(433\) 1039.09 1799.75i 0.115324 0.199748i −0.802585 0.596538i \(-0.796543\pi\)
0.917909 + 0.396790i \(0.129876\pi\)
\(434\) 9305.17 + 16117.0i 1.02918 + 1.78258i
\(435\) 2671.37 + 2241.54i 0.294442 + 0.247066i
\(436\) 3156.50 5467.22i 0.346718 0.600533i
\(437\) 1100.99 + 6244.00i 0.120520 + 0.683504i
\(438\) −5415.62 −0.590795
\(439\) 2232.65 + 12662.0i 0.242730 + 1.37659i 0.825705 + 0.564102i \(0.190778\pi\)
−0.582974 + 0.812491i \(0.698111\pi\)
\(440\) −84.3544 + 70.7817i −0.00913963 + 0.00766906i
\(441\) −11232.8 4088.40i −1.21291 0.441465i
\(442\) 7957.64 2896.34i 0.856349 0.311686i
\(443\) −1335.45 −0.143226 −0.0716129 0.997433i \(-0.522815\pi\)
−0.0716129 + 0.997433i \(0.522815\pi\)
\(444\) 5986.03 + 2405.49i 0.639830 + 0.257116i
\(445\) −15400.6 −1.64058
\(446\) 4781.04 1740.15i 0.507598 0.184750i
\(447\) −3520.60 1281.39i −0.372525 0.135588i
\(448\) 1415.72 1187.93i 0.149300 0.125278i
\(449\) 826.151 + 4685.33i 0.0868340 + 0.492460i 0.996946 + 0.0780972i \(0.0248845\pi\)
−0.910112 + 0.414363i \(0.864004\pi\)
\(450\) 6214.36 0.650995
\(451\) −67.1779 380.985i −0.00701393 0.0397780i
\(452\) 1514.43 2623.07i 0.157595 0.272962i
\(453\) 7320.69 + 6142.79i 0.759285 + 0.637115i
\(454\) 4223.60 + 7315.49i 0.436615 + 0.756240i
\(455\) −15822.1 + 27404.7i −1.63023 + 2.82364i
\(456\) 5666.06 2062.28i 0.581880 0.211787i
\(457\) 12654.0 10617.9i 1.29525 1.08684i 0.304302 0.952576i \(-0.401577\pi\)
0.990945 0.134266i \(-0.0428675\pi\)
\(458\) −509.182 881.929i −0.0519487 0.0899778i
\(459\) −202.269 + 1147.12i −0.0205689 + 0.116652i
\(460\) 665.468 3774.06i 0.0674513 0.382535i
\(461\) −13086.2 10980.6i −1.32209 1.10937i −0.985856 0.167592i \(-0.946401\pi\)
−0.336238 0.941777i \(-0.609155\pi\)
\(462\) −336.821 122.593i −0.0339185 0.0123453i
\(463\) 5539.47 + 2016.20i 0.556028 + 0.202378i 0.604723 0.796436i \(-0.293284\pi\)
−0.0486947 + 0.998814i \(0.515506\pi\)
\(464\) −375.287 314.903i −0.0375480 0.0315065i
\(465\) 6372.95 36142.8i 0.635567 3.60448i
\(466\) 347.264 1969.43i 0.0345208 0.195777i
\(467\) 4892.45 + 8473.97i 0.484787 + 0.839676i 0.999847 0.0174782i \(-0.00556378\pi\)
−0.515060 + 0.857154i \(0.672230\pi\)
\(468\) −5145.30 + 4317.42i −0.508208 + 0.426437i
\(469\) −20395.4 + 7423.30i −2.00804 + 0.730866i
\(470\) −1938.74 + 3358.00i −0.190272 + 0.329560i
\(471\) 4383.05 + 7591.66i 0.428790 + 0.742686i
\(472\) 886.709 + 744.037i 0.0864705 + 0.0725574i
\(473\) −75.5420 + 130.843i −0.00734340 + 0.0127191i
\(474\) 3173.86 + 17999.8i 0.307553 + 1.74422i
\(475\) −13419.5 −1.29627
\(476\) 1231.68 + 6985.22i 0.118601 + 0.672620i
\(477\) −4577.68 + 3841.13i −0.439408 + 0.368707i
\(478\) −3165.05 1151.98i −0.302858 0.110231i
\(479\) −11903.1 + 4332.39i −1.13542 + 0.413261i −0.840259 0.542186i \(-0.817597\pi\)
−0.295165 + 0.955446i \(0.595375\pi\)
\(480\) −3644.52 −0.346560
\(481\) 15509.9 + 512.557i 1.47025 + 0.0485875i
\(482\) −11384.2 −1.07580
\(483\) 11722.0 4266.46i 1.10429 0.401927i
\(484\) 5000.10 + 1819.89i 0.469582 + 0.170914i
\(485\) 13246.8 11115.4i 1.24022 1.04067i
\(486\) −1796.87 10190.6i −0.167711 0.951137i
\(487\) −1999.26 −0.186027 −0.0930133 0.995665i \(-0.529650\pi\)
−0.0930133 + 0.995665i \(0.529650\pi\)
\(488\) −172.951 980.854i −0.0160433 0.0909861i
\(489\) 10346.5 17920.7i 0.956823 1.65727i
\(490\) −11952.0 10028.9i −1.10191 0.924613i
\(491\) −6013.98 10416.5i −0.552764 0.957415i −0.998074 0.0620383i \(-0.980240\pi\)
0.445310 0.895376i \(-0.353093\pi\)
\(492\) 6401.96 11088.5i 0.586631 1.01608i
\(493\) 1766.85 643.082i 0.161410 0.0587483i
\(494\) 11110.9 9323.16i 1.01195 0.849128i
\(495\) 167.605 + 290.300i 0.0152187 + 0.0263596i
\(496\) −895.303 + 5077.52i −0.0810490 + 0.459652i
\(497\) −1101.32 + 6245.90i −0.0993984 + 0.563716i
\(498\) −11003.8 9233.31i −0.990148 0.830832i
\(499\) 5221.01 + 1900.29i 0.468386 + 0.170478i 0.565421 0.824802i \(-0.308714\pi\)
−0.0970352 + 0.995281i \(0.530936\pi\)
\(500\) 154.673 + 56.2965i 0.0138344 + 0.00503531i
\(501\) 14838.7 + 12451.1i 1.32324 + 1.11033i
\(502\) 1319.12 7481.10i 0.117281 0.665135i
\(503\) 464.742 2635.69i 0.0411965 0.233637i −0.957256 0.289241i \(-0.906597\pi\)
0.998453 + 0.0556037i \(0.0177083\pi\)
\(504\) −2812.92 4872.11i −0.248606 0.430598i
\(505\) −18199.1 + 15270.8i −1.60366 + 1.34563i
\(506\) 98.1209 35.7131i 0.00862056 0.00313763i
\(507\) −9162.96 + 15870.7i −0.802646 + 1.39022i
\(508\) −1773.58 3071.92i −0.154901 0.268296i
\(509\) 10478.9 + 8792.82i 0.912511 + 0.765687i 0.972595 0.232506i \(-0.0746925\pi\)
−0.0600844 + 0.998193i \(0.519137\pi\)
\(510\) 6993.83 12113.7i 0.607239 1.05177i
\(511\) −1894.74 10745.6i −0.164028 0.930249i
\(512\) 512.000 0.0441942
\(513\) 346.439 + 1964.75i 0.0298161 + 0.169095i
\(514\) −2697.73 + 2263.66i −0.231501 + 0.194253i
\(515\) 10448.4 + 3802.92i 0.894006 + 0.325391i
\(516\) −4698.85 + 1710.24i −0.400882 + 0.145909i
\(517\) −105.650 −0.00898739
\(518\) −2678.64 + 12719.0i −0.227206 + 1.07884i
\(519\) 8786.91 0.743165
\(520\) −8238.10 + 2998.42i −0.694739 + 0.252864i
\(521\) −12099.4 4403.80i −1.01743 0.370315i −0.221150 0.975240i \(-0.570981\pi\)
−0.796283 + 0.604925i \(0.793203\pi\)
\(522\) −1142.42 + 958.605i −0.0957901 + 0.0803774i
\(523\) −766.834 4348.93i −0.0641134 0.363605i −0.999938 0.0111389i \(-0.996454\pi\)
0.935825 0.352466i \(-0.114657\pi\)
\(524\) 5923.69 0.493850
\(525\) 4584.70 + 26001.1i 0.381129 + 2.16149i
\(526\) −870.160 + 1507.16i −0.0721308 + 0.124934i
\(527\) −15158.6 12719.6i −1.25298 1.05137i
\(528\) −49.6511 85.9983i −0.00409240 0.00708825i
\(529\) 4266.53 7389.84i 0.350664 0.607367i
\(530\) −7329.28 + 2667.64i −0.600686 + 0.218632i
\(531\) 2699.25 2264.94i 0.220598 0.185104i
\(532\) 6074.30 + 10521.0i 0.495027 + 0.857412i
\(533\) 5348.28 30331.6i 0.434633 2.46493i
\(534\) 2411.65 13677.1i 0.195435 1.10837i
\(535\) 20034.9 + 16811.2i 1.61903 + 1.35853i
\(536\) −5650.38 2056.57i −0.455334 0.165728i
\(537\) 5209.29 + 1896.03i 0.418617 + 0.152364i
\(538\) −5438.58 4563.51i −0.435825 0.365701i
\(539\) 73.8203 418.656i 0.00589919 0.0334560i
\(540\) 209.398 1187.55i 0.0166871 0.0946373i
\(541\) 12103.3 + 20963.5i 0.961848 + 1.66597i 0.717854 + 0.696194i \(0.245125\pi\)
0.243995 + 0.969777i \(0.421542\pi\)
\(542\) −8439.84 + 7081.87i −0.668860 + 0.561240i
\(543\) −2511.66 + 914.171i −0.198501 + 0.0722483i
\(544\) −982.528 + 1701.79i −0.0774366 + 0.134124i
\(545\) −12541.6 21722.7i −0.985731 1.70734i
\(546\) −21860.2 18342.9i −1.71343 1.43774i
\(547\) −3332.58 + 5772.20i −0.260495 + 0.451191i −0.966374 0.257142i \(-0.917219\pi\)
0.705878 + 0.708333i \(0.250552\pi\)
\(548\) −477.557 2708.36i −0.0372267 0.211123i
\(549\) −3031.91 −0.235699
\(550\) 38.3769 + 217.646i 0.00297527 + 0.0168736i
\(551\) 2466.98 2070.04i 0.190739 0.160049i
\(552\) 3247.49 + 1181.99i 0.250403 + 0.0911393i
\(553\) −34604.6 + 12595.0i −2.66101 + 0.968528i
\(554\) 9031.52 0.692622
\(555\) 20169.2 15818.8i 1.54259 1.20986i
\(556\) −1138.23 −0.0868196
\(557\) 6234.80 2269.28i 0.474285 0.172626i −0.0938074 0.995590i \(-0.529904\pi\)
0.568093 + 0.822965i \(0.307682\pi\)
\(558\) 14748.5 + 5368.02i 1.11892 + 0.407252i
\(559\) −9214.25 + 7731.68i −0.697176 + 0.585000i
\(560\) −1275.09 7231.41i −0.0962187 0.545684i
\(561\) 381.122 0.0286827
\(562\) 506.770 + 2874.04i 0.0380370 + 0.215719i
\(563\) −5265.28 + 9119.72i −0.394147 + 0.682683i −0.992992 0.118182i \(-0.962293\pi\)
0.598845 + 0.800865i \(0.295627\pi\)
\(564\) −2678.61 2247.62i −0.199982 0.167805i
\(565\) −6017.22 10422.1i −0.448047 0.776040i
\(566\) 74.8987 129.728i 0.00556224 0.00963408i
\(567\) 21530.6 7836.50i 1.59471 0.580427i
\(568\) −1346.00 + 1129.42i −0.0994309 + 0.0834324i
\(569\) 6515.94 + 11285.9i 0.480075 + 0.831513i 0.999739 0.0228571i \(-0.00727629\pi\)
−0.519664 + 0.854371i \(0.673943\pi\)
\(570\) 4160.19 23593.6i 0.305704 1.73373i
\(571\) 2988.99 16951.4i 0.219064 1.24237i −0.654650 0.755932i \(-0.727184\pi\)
0.873714 0.486441i \(-0.161705\pi\)
\(572\) −182.984 153.542i −0.0133758 0.0112236i
\(573\) −12882.7 4688.94i −0.939240 0.341855i
\(574\) 24241.5 + 8823.19i 1.76276 + 0.641591i
\(575\) −5891.93 4943.91i −0.427322 0.358566i
\(576\) 270.647 1534.91i 0.0195780 0.111033i
\(577\) −2682.73 + 15214.5i −0.193559 + 1.09773i 0.720898 + 0.693041i \(0.243730\pi\)
−0.914457 + 0.404684i \(0.867381\pi\)
\(578\) 1142.06 + 1978.11i 0.0821859 + 0.142350i
\(579\) 8773.82 7362.11i 0.629754 0.528426i
\(580\) −1829.12 + 665.746i −0.130949 + 0.0476614i
\(581\) 14470.8 25064.1i 1.03330 1.78973i
\(582\) 7797.11 + 13505.0i 0.555327 + 0.961855i
\(583\) −162.798 136.604i −0.0115650 0.00970419i
\(584\) 1511.45 2617.91i 0.107097 0.185497i
\(585\) 4634.19 + 26281.8i 0.327522 + 1.85747i
\(586\) 13072.6 0.921545
\(587\) −492.159 2791.17i −0.0346058 0.196259i 0.962604 0.270914i \(-0.0873257\pi\)
−0.997209 + 0.0746544i \(0.976215\pi\)
\(588\) 10778.2 9043.98i 0.755928 0.634299i
\(589\) −31848.4 11591.9i −2.22800 0.810926i
\(590\) 4321.76 1572.99i 0.301566 0.109761i
\(591\) −29205.2 −2.03273
\(592\) −2833.47 + 2222.30i −0.196714 + 0.154284i
\(593\) 8176.35 0.566210 0.283105 0.959089i \(-0.408636\pi\)
0.283105 + 0.959089i \(0.408636\pi\)
\(594\) 30.8750 11.2376i 0.00213268 0.000776234i
\(595\) 26482.7 + 9638.91i 1.82468 + 0.664129i
\(596\) 1602.00 1344.24i 0.110101 0.0923859i
\(597\) 1391.21 + 7889.97i 0.0953745 + 0.540896i
\(598\) 8313.10 0.568475
\(599\) 2257.65 + 12803.8i 0.153998 + 0.873368i 0.959696 + 0.281041i \(0.0906795\pi\)
−0.805698 + 0.592327i \(0.798209\pi\)
\(600\) −3657.27 + 6334.57i −0.248846 + 0.431013i
\(601\) 13816.1 + 11593.1i 0.937723 + 0.786843i 0.977188 0.212378i \(-0.0681208\pi\)
−0.0394646 + 0.999221i \(0.512565\pi\)
\(602\) −5037.40 8725.04i −0.341045 0.590707i
\(603\) −9152.17 + 15852.0i −0.618085 + 1.07055i
\(604\) −5012.57 + 1824.43i −0.337680 + 0.122905i
\(605\) 16195.5 13589.6i 1.08833 0.913219i
\(606\) −10712.0 18553.8i −0.718062 1.24372i
\(607\) 572.018 3244.07i 0.0382496 0.216924i −0.959692 0.281054i \(-0.909316\pi\)
0.997942 + 0.0641297i \(0.0204272\pi\)
\(608\) −584.443 + 3314.54i −0.0389841 + 0.221090i
\(609\) −4853.67 4072.72i −0.322957 0.270993i
\(610\) −3718.66 1353.48i −0.246826 0.0898375i
\(611\) −7903.92 2876.79i −0.523336 0.190479i
\(612\) 4582.38 + 3845.08i 0.302666 + 0.253967i
\(613\) −1269.56 + 7200.06i −0.0836496 + 0.474401i 0.913990 + 0.405736i \(0.132985\pi\)
−0.997640 + 0.0686644i \(0.978126\pi\)
\(614\) −1935.75 + 10978.2i −0.127232 + 0.721569i
\(615\) −25436.7 44057.6i −1.66781 2.88874i
\(616\) 153.265 128.605i 0.0100247 0.00841176i
\(617\) −3766.37 + 1370.85i −0.245751 + 0.0894460i −0.461959 0.886901i \(-0.652853\pi\)
0.216208 + 0.976347i \(0.430631\pi\)
\(618\) −5013.50 + 8683.63i −0.326331 + 0.565222i
\(619\) −7871.83 13634.4i −0.511140 0.885320i −0.999917 0.0129113i \(-0.995890\pi\)
0.488777 0.872409i \(-0.337443\pi\)
\(620\) 15692.8 + 13167.9i 1.01652 + 0.852957i
\(621\) −571.734 + 990.272i −0.0369451 + 0.0639907i
\(622\) −2127.86 12067.7i −0.137169 0.777927i
\(623\) 27981.8 1.79946
\(624\) −1372.83 7785.71i −0.0880724 0.499484i
\(625\) −11716.4 + 9831.21i −0.749848 + 0.629197i
\(626\) −12436.2 4526.41i −0.794012 0.288997i
\(627\) 613.405 223.261i 0.0390702 0.0142204i
\(628\) −4893.09 −0.310916
\(629\) −1949.07 13682.5i −0.123552 0.867340i
\(630\) −22352.9 −1.41359
\(631\) −14744.7 + 5366.61i −0.930230 + 0.338576i −0.762301 0.647223i \(-0.775930\pi\)
−0.167930 + 0.985799i \(0.553708\pi\)
\(632\) −9586.93 3489.36i −0.603398 0.219619i
\(633\) −20299.0 + 17032.9i −1.27459 + 1.06950i
\(634\) 2441.59 + 13847.0i 0.152947 + 0.867403i
\(635\) −14093.8 −0.880778
\(636\) −1221.38 6926.80i −0.0761493 0.431864i
\(637\) 16922.4 29310.5i 1.05258 1.82312i
\(638\) −40.6284 34.0913i −0.00252115 0.00211550i
\(639\) 2674.38 + 4632.16i 0.165566 + 0.286769i
\(640\) 1017.16 1761.76i 0.0628228 0.108812i
\(641\) 486.966 177.241i 0.0300062 0.0109214i −0.326973 0.945034i \(-0.606029\pi\)
0.356980 + 0.934112i \(0.383807\pi\)
\(642\) −18067.2 + 15160.2i −1.11068 + 0.931972i
\(643\) −1016.80 1761.15i −0.0623617 0.108014i 0.833159 0.553034i \(-0.186530\pi\)
−0.895521 + 0.445020i \(0.853197\pi\)
\(644\) −1209.10 + 6857.17i −0.0739835 + 0.419581i
\(645\) −3450.03 + 19566.1i −0.210612 + 1.19444i
\(646\) −9895.34 8303.18i −0.602674 0.505703i
\(647\) 29310.3 + 10668.1i 1.78100 + 0.648230i 0.999711 + 0.0240587i \(0.00765885\pi\)
0.781287 + 0.624172i \(0.214563\pi\)
\(648\) 5964.88 + 2171.04i 0.361609 + 0.131615i
\(649\) 95.9947 + 80.5491i 0.00580604 + 0.00487185i
\(650\) −3055.33 + 17327.6i −0.184369 + 1.04561i
\(651\) −11579.2 + 65668.7i −0.697117 + 3.95355i
\(652\) 5775.27 + 10003.1i 0.346897 + 0.600843i
\(653\) −5456.37 + 4578.44i −0.326990 + 0.274377i −0.791472 0.611205i \(-0.790685\pi\)
0.464482 + 0.885582i \(0.346240\pi\)
\(654\) 21255.7 7736.43i 1.27089 0.462566i
\(655\) 11768.2 20383.1i 0.702017 1.21593i
\(656\) 3573.47 + 6189.43i 0.212684 + 0.368379i
\(657\) −7049.23 5915.00i −0.418595 0.351242i
\(658\) 3522.55 6101.24i 0.208698 0.361476i
\(659\) 5271.32 + 29895.2i 0.311596 + 1.76715i 0.590705 + 0.806888i \(0.298850\pi\)
−0.279109 + 0.960259i \(0.590039\pi\)
\(660\) −394.554 −0.0232697
\(661\) 1083.40 + 6144.27i 0.0637510 + 0.361550i 0.999949 + 0.0100774i \(0.00320778\pi\)
−0.936198 + 0.351472i \(0.885681\pi\)
\(662\) 3508.80 2944.23i 0.206002 0.172856i
\(663\) 28512.6 + 10377.7i 1.67019 + 0.607901i
\(664\) 7534.47 2742.32i 0.440353 0.160275i
\(665\) 48269.6 2.81476
\(666\) 5164.40 + 9669.12i 0.300475 + 0.562569i
\(667\) 1845.78 0.107150
\(668\) −10160.3 + 3698.03i −0.588491 + 0.214193i
\(669\) 17130.7 + 6235.06i 0.990001 + 0.360331i
\(670\) −18301.8 + 15357.0i −1.05531 + 0.885511i
\(671\) −18.7236 106.187i −0.00107722 0.00610924i
\(672\) 6621.82 0.380122
\(673\) 2440.65 + 13841.6i 0.139792 + 0.792800i 0.971402 + 0.237440i \(0.0763084\pi\)
−0.831610 + 0.555360i \(0.812580\pi\)
\(674\) −937.297 + 1623.45i −0.0535657 + 0.0927786i
\(675\) −1853.97 1555.66i −0.105717 0.0887074i
\(676\) −5114.62 8858.77i −0.291000 0.504027i
\(677\) −3556.92 + 6160.76i −0.201925 + 0.349745i −0.949149 0.314828i \(-0.898053\pi\)
0.747223 + 0.664573i \(0.231387\pi\)
\(678\) 10198.1 3711.79i 0.577661 0.210251i
\(679\) −24068.5 + 20195.9i −1.36033 + 1.14145i
\(680\) 3903.84 + 6761.65i 0.220155 + 0.381320i
\(681\) −5255.77 + 29806.9i −0.295744 + 1.67725i
\(682\) −96.9251 + 549.690i −0.00544202 + 0.0308632i
\(683\) −8540.75 7166.54i −0.478482 0.401494i 0.371395 0.928475i \(-0.378879\pi\)
−0.849877 + 0.526981i \(0.823324\pi\)
\(684\) 9627.66 + 3504.18i 0.538191 + 0.195886i
\(685\) −10268.0 3737.26i −0.572733 0.208458i
\(686\) 6541.10 + 5488.64i 0.364053 + 0.305477i
\(687\) 633.616 3593.42i 0.0351877 0.199560i
\(688\) 484.677 2748.74i 0.0268578 0.152318i
\(689\) −8459.64 14652.5i −0.467760 0.810184i
\(690\) 10518.7 8826.27i 0.580350 0.486972i
\(691\) −8999.19 + 3275.44i −0.495435 + 0.180323i −0.577639 0.816292i \(-0.696026\pi\)
0.0822049 + 0.996615i \(0.473804\pi\)
\(692\) −2452.35 + 4247.60i −0.134718 + 0.233338i
\(693\) −304.525 527.453i −0.0166926 0.0289124i
\(694\) −19298.4 16193.3i −1.05556 0.885718i
\(695\) −2261.24 + 3916.59i −0.123416 + 0.213762i
\(696\) −304.813 1728.68i −0.0166004 0.0941456i
\(697\) −27429.9 −1.49065
\(698\) −3497.51 19835.4i −0.189660 1.07561i
\(699\) 5489.03 4605.85i 0.297016 0.249226i
\(700\) −13848.5 5040.45i −0.747750 0.272159i
\(701\) 30573.6 11127.9i 1.64729 0.599563i 0.658996 0.752147i \(-0.270982\pi\)
0.988291 + 0.152584i \(0.0487593\pi\)
\(702\) 2615.82 0.140638
\(703\) −11152.2 20879.8i −0.598310 1.12019i
\(704\) 55.4289 0.00296741
\(705\) −13055.4 + 4751.77i −0.697438 + 0.253847i
\(706\) 5070.19 + 1845.40i 0.270282 + 0.0983746i
\(707\) 33066.4 27746.0i 1.75896 1.47595i
\(708\) 720.195 + 4084.43i 0.0382297 + 0.216811i
\(709\) 13428.6 0.711312 0.355656 0.934617i \(-0.384257\pi\)
0.355656 + 0.934617i \(0.384257\pi\)
\(710\) 1212.29 + 6875.25i 0.0640796 + 0.363413i
\(711\) −15528.4 + 26896.0i −0.819072 + 1.41868i
\(712\) 5938.48 + 4982.97i 0.312576 + 0.262282i
\(713\) −9712.69 16822.9i −0.510159 0.883621i
\(714\) −12707.3 + 22009.6i −0.666046 + 1.15363i
\(715\) −891.852 + 324.608i −0.0466481 + 0.0169785i
\(716\) −2370.41 + 1989.01i −0.123724 + 0.103817i
\(717\) −6034.18 10451.5i −0.314296 0.544377i
\(718\) 130.938 742.587i 0.00680580 0.0385976i
\(719\) 4894.38 27757.4i 0.253866 1.43975i −0.545101 0.838370i \(-0.683509\pi\)
0.798967 0.601375i \(-0.205380\pi\)
\(720\) −4743.88 3980.59i −0.245547 0.206039i
\(721\) −18984.0 6909.61i −0.980584 0.356903i
\(722\) −7899.57 2875.21i −0.407191 0.148205i
\(723\) −31247.2 26219.5i −1.60732 1.34870i
\(724\) 259.073 1469.28i 0.0132989 0.0754217i
\(725\) −678.381 + 3847.29i −0.0347509 + 0.197082i
\(726\) 9532.71 + 16511.1i 0.487317 + 0.844057i
\(727\) −11311.2 + 9491.23i −0.577042 + 0.484196i −0.883974 0.467536i \(-0.845142\pi\)
0.306932 + 0.951731i \(0.400697\pi\)
\(728\) 14968.0 5447.90i 0.762020 0.277353i
\(729\) 7826.53 13556.0i 0.397629 0.688714i
\(730\) −6005.40 10401.7i −0.304479 0.527374i
\(731\) 8206.18 + 6885.80i 0.415207 + 0.348400i
\(732\) 1784.33 3090.56i 0.0900968 0.156052i
\(733\) −4172.26 23662.1i −0.210240 1.19233i −0.888978 0.457950i \(-0.848584\pi\)
0.678738 0.734381i \(-0.262527\pi\)
\(734\) 7831.16 0.393806
\(735\) −9707.55 55054.3i −0.487168 2.76287i
\(736\) −1477.72 + 1239.96i −0.0740077 + 0.0620998i
\(737\) −611.707 222.643i −0.0305733 0.0111278i
\(738\) 20444.1 7441.05i 1.01973 0.371150i
\(739\) −1782.19 −0.0887128 −0.0443564 0.999016i \(-0.514124\pi\)
−0.0443564 + 0.999016i \(0.514124\pi\)
\(740\) 2017.76 + 14164.7i 0.100236 + 0.703656i
\(741\) 51969.5 2.57645
\(742\) 13316.7 4846.90i 0.658859 0.239805i
\(743\) −20667.0 7522.16i −1.02045 0.371415i −0.223015 0.974815i \(-0.571590\pi\)
−0.797439 + 0.603400i \(0.793812\pi\)
\(744\) −14151.6 + 11874.6i −0.697345 + 0.585142i
\(745\) −1442.86 8182.89i −0.0709563 0.402413i
\(746\) 18979.9 0.931504
\(747\) −4238.38 24037.1i −0.207596 1.17734i
\(748\) −106.368 + 184.235i −0.00519946 + 0.00900574i
\(749\) −36401.8 30544.8i −1.77583 1.49009i
\(750\) 294.885 + 510.755i 0.0143569 + 0.0248669i
\(751\) 10585.4 18334.5i 0.514339 0.890861i −0.485523 0.874224i \(-0.661371\pi\)
0.999862 0.0166370i \(-0.00529598\pi\)
\(752\) 1834.08 667.552i 0.0889390 0.0323712i
\(753\) 20850.7 17495.8i 1.00909 0.846724i
\(754\) −2111.22 3656.74i −0.101971 0.176619i
\(755\) −3680.38 + 20872.5i −0.177408 + 1.00613i
\(756\) −380.460 + 2157.69i −0.0183032 + 0.103802i
\(757\) 13840.6 + 11613.6i 0.664524 + 0.557602i 0.911439 0.411435i \(-0.134972\pi\)
−0.246915 + 0.969037i \(0.579417\pi\)
\(758\) −5532.03 2013.49i −0.265082 0.0964820i
\(759\) 351.572 + 127.962i 0.0168133 + 0.00611952i
\(760\) 10244.1 + 8595.82i 0.488937 + 0.410267i
\(761\) 2397.12 13594.7i 0.114186 0.647580i −0.872964 0.487784i \(-0.837805\pi\)
0.987150 0.159796i \(-0.0510836\pi\)
\(762\) 2207.00 12516.5i 0.104923 0.595048i
\(763\) 22787.1 + 39468.5i 1.08119 + 1.87268i
\(764\) 5862.11 4918.89i 0.277596 0.232931i
\(765\) 22334.2 8128.99i 1.05555 0.384189i
\(766\) 931.262 1612.99i 0.0439267 0.0760833i
\(767\) 4988.28 + 8639.95i 0.234832 + 0.406741i
\(768\) 1405.33 + 1179.21i 0.0660291 + 0.0554050i
\(769\) 13854.1 23996.1i 0.649666 1.12526i −0.333536 0.942737i \(-0.608242\pi\)
0.983203 0.182518i \(-0.0584247\pi\)
\(770\) −138.041 782.869i −0.00646058 0.0366398i
\(771\)