Properties

Label 74.4.f.b.53.1
Level $74$
Weight $4$
Character 74.53
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 53.1
Character \(\chi\) \(=\) 74.53
Dual form 74.4.f.b.7.1

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + O(q^{10}) \) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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 −0.895674 0.444711i \(-0.853306\pi\)
−0.400272 + 0.916396i \(0.631084\pi\)
\(4\) 3.06418 + 2.57115i 0.383022 + 0.321394i
\(5\) −2.75980 + 15.6516i −0.246844 + 1.39992i 0.569327 + 0.822111i \(0.307204\pi\)
−0.816171 + 0.577811i \(0.803907\pi\)
\(6\) 14.3322 0.975183
\(7\) 5.01435 28.4378i 0.270749 1.53550i −0.481399 0.876502i \(-0.659871\pi\)
0.752148 0.658994i \(-0.229018\pi\)
\(8\) −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 0.860030 0.510244i \(-0.170445\pi\)
−0.871899 + 0.489685i \(0.837112\pi\)
\(12\) −26.9357 9.80380i −0.647973 0.235843i
\(13\) −52.8199 44.3212i −1.12689 0.945575i −0.127961 0.991779i \(-0.540843\pi\)
−0.998932 + 0.0462039i \(0.985288\pi\)
\(14\) −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 −0.242271 0.970209i \(-0.577892\pi\)
0.913399 + 0.407065i \(0.133448\pi\)
\(18\) −45.7687 + 16.6584i −0.599321 + 0.218135i
\(19\) 98.8344 35.9728i 1.19338 0.434354i 0.332469 0.943114i \(-0.392118\pi\)
0.860908 + 0.508761i \(0.169896\pi\)
\(20\) −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 −0.696439 0.717616i \(-0.745233\pi\)
0.969693 + 0.244325i \(0.0785665\pi\)
\(24\) 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 0.910869 0.412695i \(-0.135412\pi\)
−0.812839 + 0.582489i \(0.802079\pi\)
\(30\) −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 −0.989547 0.144213i \(-0.953935\pi\)
−0.313855 0.949471i \(-0.601620\pi\)
\(42\) 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 −0.755721 0.654894i \(-0.772713\pi\)
0.945015 + 0.327027i \(0.106047\pi\)
\(48\) −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 −0.988911 0.148510i \(-0.952552\pi\)
0.878479 0.477781i \(-0.158559\pi\)
\(54\) −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 0.999899 0.0142112i \(-0.00452371\pi\)
−0.944458 + 0.328631i \(0.893413\pi\)
\(60\) 227.782 394.531i 0.490110 0.848895i
\(61\) −95.3712 80.0259i −0.200181 0.167972i 0.537187 0.843463i \(-0.319487\pi\)
−0.737368 + 0.675492i \(0.763931\pi\)
\(62\) 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 −0.598233 0.801322i \(-0.704130\pi\)
0.836224 0.548389i \(-0.184759\pi\)
\(68\) 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 −0.163717 0.986507i \(-0.552348\pi\)
0.508700 + 0.860944i \(0.330126\pi\)
\(72\) −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 −0.254703 0.967019i \(-0.581978\pi\)
0.570083 0.821587i \(-0.306911\pi\)
\(80\) −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 −0.989036 0.147678i \(-0.952820\pi\)
−0.0263100 + 0.999654i \(0.508376\pi\)
\(84\) −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 0.904503 + 0.426467i \(0.140242\pi\)
−0.704094 + 0.710106i \(0.748647\pi\)
\(90\) −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 −0.427160 0.904176i \(-0.640486\pi\)
0.996619 0.0821571i \(-0.0261809\pi\)
\(98\) 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 0.217798 + 0.975994i \(0.430112\pi\)
−0.954135 + 0.299378i \(0.903221\pi\)
\(102\) 674.205 565.725i 0.654473 0.549168i
\(103\) −349.807 605.883i −0.334636 0.579606i 0.648779 0.760977i \(-0.275280\pi\)
−0.983415 + 0.181371i \(0.941947\pi\)
\(104\) −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 −0.139543 0.990216i \(-0.544563\pi\)
−0.999404 + 0.0345263i \(0.989008\pi\)
\(108\) 71.2985 25.9505i 0.0635250 0.0231212i
\(109\) 1483.07 + 539.793i 1.30323 + 0.474338i 0.898048 0.439897i \(-0.144985\pi\)
0.405184 + 0.914235i \(0.367207\pi\)
\(110\) −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 0.620768 0.783994i \(-0.286821\pi\)
−0.0284061 + 0.999596i \(0.509043\pi\)
\(114\) 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 0.990153 + 0.139990i \(0.0447072\pi\)
−0.882560 + 0.470200i \(0.844182\pi\)
\(128\) 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 −0.180623 0.983552i \(-0.557811\pi\)
0.937245 + 0.348671i \(0.113367\pi\)
\(132\) 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 0.953081 0.302717i \(-0.0978936\pi\)
−0.738701 + 0.674034i \(0.764560\pi\)
\(138\) 431.989 748.226i 0.266473 0.461545i
\(139\) −217.984 + 182.910i −0.133015 + 0.111613i −0.706868 0.707345i \(-0.749893\pi\)
0.573853 + 0.818958i \(0.305448\pi\)
\(140\) 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 −0.656854 0.754018i \(-0.728113\pi\)
−0.0185060 + 0.999829i \(0.505891\pi\)
\(152\) −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 −0.849105 0.528224i \(-0.822858\pi\)
0.372753 + 0.927930i \(0.378414\pi\)
\(158\) −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 −0.829708 0.558197i \(-0.811493\pi\)
0.588756 0.808311i \(-0.299618\pi\)
\(164\) −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 −0.855135 0.518405i \(-0.826526\pi\)
−0.321847 + 0.946792i \(0.604304\pi\)
\(168\) 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 0.0761856 0.997094i \(-0.475726\pi\)
−0.582558 + 0.812789i \(0.697948\pi\)
\(174\) 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 0.699567 0.714567i \(-0.253376\pi\)
−0.582232 + 0.813023i \(0.697821\pi\)
\(182\) 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 0.677642 0.735392i \(-0.263002\pi\)
−0.975689 + 0.219159i \(0.929669\pi\)
\(194\) −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 0.923704 0.383107i \(-0.125146\pi\)
0.461342 + 0.887223i \(0.347368\pi\)
\(198\) 32.3142 + 27.1148i 0.0115983 + 0.00973215i
\(199\) −558.999 + 968.214i −0.199127 + 0.344899i −0.948246 0.317537i \(-0.897144\pi\)
0.749118 + 0.662436i \(0.230477\pi\)
\(200\) 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 0.992328 + 0.123631i \(0.0394538\pi\)
−0.389097 + 0.921197i \(0.627213\pi\)
\(212\) 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 0.667424 + 0.744678i \(0.267397\pi\)
−0.881868 + 0.471496i \(0.843714\pi\)
\(228\) −3014.85 −0.875715
\(229\) 88.4186 501.447i 0.0255147 0.144701i −0.969389 0.245529i \(-0.921038\pi\)
0.994904 + 0.100828i \(0.0321493\pi\)
\(230\) −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 0.787141 0.616773i \(-0.211560\pi\)
−0.927712 + 0.373297i \(0.878227\pi\)
\(234\) 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 −0.451294 0.892375i \(-0.649037\pi\)
0.800452 + 0.599397i \(0.204593\pi\)
\(240\) 1712.36 623.250i 0.460553 0.167627i
\(241\) 5348.84 1946.82i 1.42966 0.520355i 0.492829 0.870126i \(-0.335963\pi\)
0.936835 + 0.349771i \(0.113741\pi\)
\(242\) −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 0.522093 0.852889i \(-0.325151\pi\)
−0.999670 + 0.0257014i \(0.991818\pi\)
\(252\) 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 0.534923 0.844901i \(-0.320341\pi\)
−0.133317 + 0.991073i \(0.542563\pi\)
\(258\) 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 0.717577 0.696479i \(-0.245251\pi\)
−0.561292 + 0.827618i \(0.689695\pi\)
\(264\) 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 −0.591709 0.806152i \(-0.701546\pi\)
0.994002 + 0.109359i \(0.0348797\pi\)
\(270\) −301.468 522.158i −0.0679510 0.117695i
\(271\) 5176.50 + 1884.09i 1.16033 + 0.422326i 0.849216 0.528046i \(-0.177075\pi\)
0.311116 + 0.950372i \(0.399297\pi\)
\(272\) 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 −0.758415 0.651772i \(-0.774026\pi\)
−0.162028 + 0.986786i \(0.551804\pi\)
\(278\) 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 0.999819 0.0190165i \(-0.00605350\pi\)
−0.946027 + 0.324089i \(0.894942\pi\)
\(282\) 874.171 1514.11i 0.184596 0.319730i
\(283\) −57.3757 48.1439i −0.0120517 0.0101126i 0.636742 0.771077i \(-0.280282\pi\)
−0.648794 + 0.760964i \(0.724726\pi\)
\(284\) 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 −0.871767 0.489920i \(-0.837026\pi\)
−0.352898 + 0.935662i \(0.614804\pi\)
\(294\) −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 0.999779 + 0.0210247i \(0.00669286\pi\)
−0.481682 + 0.876346i \(0.659974\pi\)
\(308\) −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 −0.913854 0.406043i \(-0.866908\pi\)
0.719867 0.694112i \(-0.244203\pi\)
\(312\) −686.415 3892.85i −0.124553 0.706376i
\(313\) 5069.05 4253.44i 0.915398 0.768110i −0.0577400 0.998332i \(-0.518389\pi\)
0.973138 + 0.230221i \(0.0739450\pi\)
\(314\) 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 0.878638 + 0.477489i \(0.158453\pi\)
−0.662339 + 0.749204i \(0.730436\pi\)
\(318\) −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 0.157095 0.987584i \(-0.449787\pi\)
−0.514465 + 0.857511i \(0.672009\pi\)
\(332\) −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 0.698971 0.715150i \(-0.253642\pi\)
−0.582910 + 0.812537i \(0.698086\pi\)
\(338\) 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 0.292268 0.956337i \(-0.405590\pi\)
0.682078 0.731280i \(-0.261077\pi\)
\(348\) −152.406 864.339i −0.0234765 0.133142i
\(349\) −1748.75 9917.68i −0.268220 1.52115i −0.759708 0.650265i \(-0.774658\pi\)
0.491488 0.870884i \(-0.336453\pi\)
\(350\) 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 −0.785154 0.619301i \(-0.787416\pi\)
0.473552 + 0.880766i \(0.342972\pi\)
\(354\) 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 0.851836 0.523809i \(-0.175489\pi\)
−0.879550 + 0.475807i \(0.842156\pi\)
\(360\) 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 −0.590162 0.807285i \(-0.700936\pi\)
0.0668229 + 0.997765i \(0.478714\pi\)
\(368\) 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 −0.876296 0.481773i \(-0.839993\pi\)
−0.361604 + 0.932332i \(0.617771\pi\)
\(374\) 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 −0.477066 0.878867i \(-0.658300\pi\)
0.782674 + 0.622432i \(0.213855\pi\)
\(380\) −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 0.593958 0.804496i \(-0.297564\pi\)
−0.689134 + 0.724634i \(0.742009\pi\)
\(384\) −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 −0.972333 0.233598i \(-0.924950\pi\)
−0.594697 + 0.803950i \(0.702728\pi\)
\(390\) 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 −0.631649 0.775255i \(-0.717622\pi\)
0.987215 + 0.159397i \(0.0509549\pi\)
\(398\) 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 0.793567 0.608483i \(-0.208222\pi\)
0.216782 + 0.976220i \(0.430444\pi\)
\(410\) −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 0.545152 0.838337i \(-0.316472\pi\)
−0.121262 + 0.992621i \(0.538694\pi\)
\(420\) −10077.4 8455.94i −1.17078 0.982399i
\(421\) −967.573 + 1675.89i −0.112011 + 0.194009i −0.916581 0.399849i \(-0.869063\pi\)
0.804570 + 0.593858i \(0.202396\pi\)
\(422\) −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 0.935254 0.353977i \(-0.115171\pi\)
−0.186194 + 0.982513i \(0.559615\pi\)
\(432\) 285.194 + 103.802i 0.0317625 + 0.0115606i
\(433\) 1039.09 + 1799.75i 0.115324 + 0.199748i 0.917909 0.396790i \(-0.129876\pi\)
−0.802585 + 0.596538i \(0.796543\pi\)
\(434\) 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 −0.582974 0.812491i \(-0.698111\pi\)
0.825705 0.564102i \(-0.190778\pi\)
\(440\) −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 −0.910112 0.414363i \(-0.864004\pi\)
0.996946 0.0780972i \(-0.0248845\pi\)
\(450\) 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 0.990945 + 0.134266i \(0.0428675\pi\)
0.304302 + 0.952576i \(0.401577\pi\)
\(458\) −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 −0.336238 + 0.941777i \(0.609155\pi\)
−0.985856 + 0.167592i \(0.946401\pi\)
\(462\) −336.821 + 122.593i −0.0339185 + 0.0123453i
\(463\) 5539.47 2016.20i 0.556028 0.202378i −0.0486947 0.998814i \(-0.515506\pi\)
0.604723 + 0.796436i \(0.293284\pi\)
\(464\) −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 −0.515060 0.857154i \(-0.672230\pi\)
0.999847 + 0.0174782i \(0.00556378\pi\)
\(468\) −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 −0.295165 0.955446i \(-0.595375\pi\)
−0.840259 + 0.542186i \(0.817597\pi\)
\(480\) −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 0.445310 + 0.895376i \(0.353093\pi\)
−0.998074 + 0.0620383i \(0.980240\pi\)
\(492\) 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 −0.0970352 0.995281i \(-0.530936\pi\)
0.565421 + 0.824802i \(0.308714\pi\)
\(500\) 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 0.998453 0.0556037i \(-0.0177083\pi\)
−0.957256 + 0.289241i \(0.906597\pi\)
\(504\) −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 −0.0600844 0.998193i \(-0.519137\pi\)
0.972595 + 0.232506i \(0.0746925\pi\)
\(510\) 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 −0.796283 0.604925i \(-0.793203\pi\)
−0.221150 + 0.975240i \(0.570981\pi\)
\(522\) −1142.42 958.605i −0.0957901 0.0803774i
\(523\) −766.834 + 4348.93i −0.0641134 + 0.363605i 0.935825 + 0.352466i \(0.114657\pi\)
−0.999938 + 0.0111389i \(0.996454\pi\)
\(524\) 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 0.243995 0.969777i \(-0.421542\pi\)
0.717854 0.696194i \(-0.245125\pi\)
\(542\) −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 0.705878 0.708333i \(-0.250552\pi\)
−0.966374 + 0.257142i \(0.917219\pi\)
\(548\) −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 0.568093 0.822965i \(-0.307682\pi\)
−0.0938074 + 0.995590i \(0.529904\pi\)
\(558\) 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 0.598845 0.800865i \(-0.295627\pi\)
−0.992992 + 0.118182i \(0.962293\pi\)
\(564\) −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 −0.519664 0.854371i \(-0.673943\pi\)
0.999739 + 0.0228571i \(0.00727629\pi\)
\(570\) 4160.19 + 23593.6i 0.305704 + 1.73373i
\(571\) 2988.99 + 16951.4i 0.219064 + 1.24237i 0.873714 + 0.486441i \(0.161705\pi\)
−0.654650 + 0.755932i \(0.727184\pi\)
\(572\) −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 −0.914457 0.404684i \(-0.867381\pi\)
0.720898 0.693041i \(-0.243730\pi\)
\(578\) 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 −0.997209 0.0746544i \(-0.976215\pi\)
0.962604 + 0.270914i \(0.0873257\pi\)
\(588\) 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 −0.805698 0.592327i \(-0.798209\pi\)
0.959696 0.281041i \(-0.0906795\pi\)
\(600\) −3657.27 6334.57i −0.248846 0.431013i
\(601\) 13816.1 11593.1i 0.937723 0.786843i −0.0394646 0.999221i \(-0.512565\pi\)
0.977188 + 0.212378i \(0.0681208\pi\)
\(602\) −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 0.997942 0.0641297i \(-0.0204272\pi\)
−0.959692 + 0.281054i \(0.909316\pi\)
\(608\) −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 −0.997640 0.0686644i \(-0.978126\pi\)
0.913990 0.405736i \(-0.132985\pi\)
\(614\) −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 0.216208 0.976347i \(-0.430631\pi\)
−0.461959 + 0.886901i \(0.652853\pi\)
\(618\) −5013.50 8683.63i −0.326331 0.565222i
\(619\) −7871.83 + 13634.4i −0.511140 + 0.885320i 0.488777 + 0.872409i \(0.337443\pi\)
−0.999917 + 0.0129113i \(0.995890\pi\)
\(620\) 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 −0.167930 0.985799i \(-0.553708\pi\)
−0.762301 + 0.647223i \(0.775930\pi\)
\(632\) −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 0.356980 0.934112i \(-0.383807\pi\)
−0.326973 + 0.945034i \(0.606029\pi\)
\(642\) −18067.2 15160.2i −1.11068 0.931972i
\(643\) −1016.80 + 1761.15i −0.0623617 + 0.108014i −0.895521 0.445020i \(-0.853197\pi\)
0.833159 + 0.553034i \(0.186530\pi\)
\(644\) −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 0.781287 0.624172i \(-0.214563\pi\)
0.999711 0.0240587i \(-0.00765885\pi\)
\(648\) 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 0.464482 0.885582i \(-0.346240\pi\)
−0.791472 + 0.611205i \(0.790685\pi\)
\(654\) 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 −0.279109 0.960259i \(-0.590039\pi\)
0.590705 0.806888i \(-0.298850\pi\)
\(660\) −394.554 −0.0232697
\(661\) 1083.40 6144.27i 0.0637510 0.361550i −0.936198 0.351472i \(-0.885681\pi\)
0.999949 0.0100774i \(-0.00320778\pi\)
\(662\) 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 −0.831610 0.555360i \(-0.812580\pi\)
0.971402 0.237440i \(-0.0763084\pi\)
\(674\) −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 0.747223 0.664573i \(-0.231387\pi\)
−0.949149 + 0.314828i \(0.898053\pi\)
\(678\) 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 −0.849877 0.526981i \(-0.823324\pi\)
0.371395 + 0.928475i \(0.378879\pi\)
\(684\) 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 0.0822049 0.996615i \(-0.473804\pi\)
−0.577639 + 0.816292i \(0.696026\pi\)
\(692\) −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 0.988291 0.152584i \(-0.0487593\pi\)
0.658996 + 0.752147i \(0.270982\pi\)
\(702\) 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 0.798967 + 0.601375i \(0.205380\pi\)
−0.545101 + 0.838370i \(0.683509\pi\)
\(720\) −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 0.306932 0.951731i \(-0.400697\pi\)
−0.883974 + 0.467536i \(0.845142\pi\)
\(728\) 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 0.678738 + 0.734381i \(0.262527\pi\)
−0.888978 + 0.457950i \(0.848584\pi\)
\(734\) 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 −0.797439 0.603400i \(-0.793812\pi\)
−0.223015 + 0.974815i \(0.571590\pi\)
\(744\) −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 0.999862 + 0.0166370i \(0.00529598\pi\)
−0.485523 + 0.874224i \(0.661371\pi\)
\(752\) 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 −0.246915 0.969037i \(-0.579417\pi\)
0.911439 + 0.411435i \(0.134972\pi\)
\(758\) −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 0.987150 + 0.159796i \(0.0510836\pi\)
−0.872964 + 0.487784i \(0.837805\pi\)
\(762\) 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 0.983203 + 0.182518i \(0.0584247\pi\)
−0.333536 + 0.942737i \(0.608242\pi\)
\(770\) −138.041 + 782.869i −0.00646058 + 0.0366398i