Properties

Label 27.4.e.a.16.4
Level 27
Weight 4
Character 27.16
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 16.4
Character \(\chi\) = 27.16
Dual form 27.4.e.a.22.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.883701 - 0.741513i) q^{2} +(-5.10626 - 0.962362i) q^{3} +(-1.15810 - 6.56791i) q^{4} +(-7.21673 - 2.62667i) q^{5} +(3.79880 + 4.63680i) q^{6} +(2.25256 - 12.7749i) q^{7} +(-8.46114 + 14.6551i) q^{8} +(25.1477 + 9.82813i) q^{9} +O(q^{10})\) \(q+(-0.883701 - 0.741513i) q^{2} +(-5.10626 - 0.962362i) q^{3} +(-1.15810 - 6.56791i) q^{4} +(-7.21673 - 2.62667i) q^{5} +(3.79880 + 4.63680i) q^{6} +(2.25256 - 12.7749i) q^{7} +(-8.46114 + 14.6551i) q^{8} +(25.1477 + 9.82813i) q^{9} +(4.42972 + 7.67249i) q^{10} +(-10.9793 + 3.99613i) q^{11} +(-0.407152 + 34.6519i) q^{12} +(54.8237 - 46.0025i) q^{13} +(-11.4633 + 9.61888i) q^{14} +(34.3227 + 20.3576i) q^{15} +(-31.7921 + 11.5714i) q^{16} +(-18.1319 - 31.4053i) q^{17} +(-14.9354 - 27.3325i) q^{18} +(-11.8561 + 20.5353i) q^{19} +(-8.89407 + 50.4408i) q^{20} +(-23.7962 + 63.0641i) q^{21} +(12.6656 + 4.60990i) q^{22} +(-34.5875 - 196.155i) q^{23} +(57.3083 - 66.6901i) q^{24} +(-50.5738 - 42.4365i) q^{25} -82.5592 q^{26} +(-118.952 - 74.3862i) q^{27} -86.5130 q^{28} +(218.552 + 183.387i) q^{29} +(-15.2356 - 43.4407i) q^{30} +(5.40959 + 30.6793i) q^{31} +(163.889 + 59.6507i) q^{32} +(59.9088 - 9.83923i) q^{33} +(-7.26431 + 41.1980i) q^{34} +(-49.8116 + 86.2762i) q^{35} +(35.4267 - 176.550i) q^{36} +(171.316 + 296.728i) q^{37} +(25.7044 - 9.35564i) q^{38} +(-324.215 + 182.141i) q^{39} +(99.5559 - 83.5374i) q^{40} +(188.628 - 158.278i) q^{41} +(67.7916 - 38.0846i) q^{42} +(-143.766 + 52.3265i) q^{43} +(38.9613 + 67.4830i) q^{44} +(-155.669 - 136.982i) q^{45} +(-114.887 + 198.990i) q^{46} +(49.8026 - 282.445i) q^{47} +(173.475 - 28.4910i) q^{48} +(164.191 + 59.7606i) q^{49} +(13.2249 + 75.0023i) q^{50} +(62.3628 + 177.813i) q^{51} +(-365.632 - 306.802i) q^{52} -321.986 q^{53} +(49.9601 + 153.940i) q^{54} +89.7310 q^{55} +(168.158 + 141.102i) q^{56} +(80.3025 - 93.4487i) q^{57} +(-57.1507 - 324.118i) q^{58} +(-382.499 - 139.218i) q^{59} +(93.9577 - 249.004i) q^{60} +(36.2242 - 205.438i) q^{61} +(17.9686 - 31.1226i) q^{62} +(182.200 - 299.121i) q^{63} +(34.7329 + 60.1591i) q^{64} +(-516.481 + 187.984i) q^{65} +(-60.2373 - 35.7282i) q^{66} +(-152.054 + 127.588i) q^{67} +(-185.269 + 155.459i) q^{68} +(-12.1599 + 1034.90i) q^{69} +(107.993 - 39.3064i) q^{70} +(-82.6900 - 143.223i) q^{71} +(-356.811 + 285.386i) q^{72} +(484.355 - 838.928i) q^{73} +(68.6357 - 389.252i) q^{74} +(217.404 + 265.362i) q^{75} +(148.605 + 54.0876i) q^{76} +(26.3187 + 149.261i) q^{77} +(421.569 + 79.4519i) q^{78} +(759.383 + 637.198i) q^{79} +259.829 q^{80} +(535.816 + 494.310i) q^{81} -284.056 q^{82} +(440.670 + 369.766i) q^{83} +(441.758 + 83.2568i) q^{84} +(48.3613 + 274.270i) q^{85} +(165.847 + 60.3633i) q^{86} +(-939.496 - 1146.74i) q^{87} +(34.3334 - 194.714i) q^{88} +(-140.691 + 243.684i) q^{89} +(35.9910 + 236.482i) q^{90} +(-464.184 - 803.990i) q^{91} +(-1248.27 + 454.335i) q^{92} +(1.90184 - 161.862i) q^{93} +(-253.447 + 212.667i) q^{94} +(139.502 - 117.056i) q^{95} +(-779.454 - 462.312i) q^{96} +(446.114 - 162.372i) q^{97} +(-100.782 - 174.560i) q^{98} +(-315.378 - 7.41226i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.883701 0.741513i −0.312435 0.262164i 0.473062 0.881029i \(-0.343149\pi\)
−0.785498 + 0.618864i \(0.787593\pi\)
\(3\) −5.10626 0.962362i −0.982700 0.185207i
\(4\) −1.15810 6.56791i −0.144762 0.820989i
\(5\) −7.21673 2.62667i −0.645484 0.234937i −0.00152709 0.999999i \(-0.500486\pi\)
−0.643957 + 0.765062i \(0.722708\pi\)
\(6\) 3.79880 + 4.63680i 0.258476 + 0.315494i
\(7\) 2.25256 12.7749i 0.121627 0.689779i −0.861628 0.507541i \(-0.830555\pi\)
0.983254 0.182238i \(-0.0583342\pi\)
\(8\) −8.46114 + 14.6551i −0.373933 + 0.647671i
\(9\) 25.1477 + 9.82813i 0.931397 + 0.364005i
\(10\) 4.42972 + 7.67249i 0.140080 + 0.242626i
\(11\) −10.9793 + 3.99613i −0.300943 + 0.109534i −0.488078 0.872800i \(-0.662302\pi\)
0.187135 + 0.982334i \(0.440080\pi\)
\(12\) −0.407152 + 34.6519i −0.00979456 + 0.833596i
\(13\) 54.8237 46.0025i 1.16964 0.981447i 0.169651 0.985504i \(-0.445736\pi\)
0.999992 + 0.00405757i \(0.00129157\pi\)
\(14\) −11.4633 + 9.61888i −0.218836 + 0.183625i
\(15\) 34.3227 + 20.3576i 0.590805 + 0.350420i
\(16\) −31.7921 + 11.5714i −0.496752 + 0.180803i
\(17\) −18.1319 31.4053i −0.258684 0.448054i 0.707206 0.707008i \(-0.249956\pi\)
−0.965890 + 0.258954i \(0.916622\pi\)
\(18\) −14.9354 27.3325i −0.195572 0.357907i
\(19\) −11.8561 + 20.5353i −0.143156 + 0.247954i −0.928684 0.370873i \(-0.879058\pi\)
0.785527 + 0.618827i \(0.212392\pi\)
\(20\) −8.89407 + 50.4408i −0.0994387 + 0.563945i
\(21\) −23.7962 + 63.0641i −0.247274 + 0.655320i
\(22\) 12.6656 + 4.60990i 0.122741 + 0.0446742i
\(23\) −34.5875 196.155i −0.313564 1.77831i −0.580159 0.814504i \(-0.697009\pi\)
0.266594 0.963809i \(-0.414102\pi\)
\(24\) 57.3083 66.6901i 0.487417 0.567211i
\(25\) −50.5738 42.4365i −0.404590 0.339492i
\(26\) −82.5592 −0.622738
\(27\) −118.952 74.3862i −0.847867 0.530208i
\(28\) −86.5130 −0.583908
\(29\) 218.552 + 183.387i 1.39945 + 1.17428i 0.961343 + 0.275353i \(0.0887947\pi\)
0.438105 + 0.898924i \(0.355650\pi\)
\(30\) −15.2356 43.4407i −0.0927206 0.264372i
\(31\) 5.40959 + 30.6793i 0.0313416 + 0.177747i 0.996460 0.0840660i \(-0.0267907\pi\)
−0.965119 + 0.261813i \(0.915680\pi\)
\(32\) 163.889 + 59.6507i 0.905367 + 0.329527i
\(33\) 59.9088 9.83923i 0.316023 0.0519027i
\(34\) −7.26431 + 41.1980i −0.0366417 + 0.207806i
\(35\) −49.8116 + 86.2762i −0.240563 + 0.416667i
\(36\) 35.4267 176.550i 0.164013 0.817361i
\(37\) 171.316 + 296.728i 0.761195 + 1.31843i 0.942235 + 0.334953i \(0.108720\pi\)
−0.181040 + 0.983476i \(0.557946\pi\)
\(38\) 25.7044 9.35564i 0.109732 0.0399391i
\(39\) −324.215 + 182.141i −1.33118 + 0.747842i
\(40\) 99.5559 83.5374i 0.393529 0.330210i
\(41\) 188.628 158.278i 0.718507 0.602899i −0.208465 0.978030i \(-0.566847\pi\)
0.926972 + 0.375131i \(0.122402\pi\)
\(42\) 67.7916 38.0846i 0.249059 0.139919i
\(43\) −143.766 + 52.3265i −0.509862 + 0.185575i −0.584124 0.811664i \(-0.698562\pi\)
0.0742623 + 0.997239i \(0.476340\pi\)
\(44\) 38.9613 + 67.4830i 0.133492 + 0.231215i
\(45\) −155.669 136.982i −0.515683 0.453779i
\(46\) −114.887 + 198.990i −0.368242 + 0.637813i
\(47\) 49.8026 282.445i 0.154563 0.876570i −0.804621 0.593788i \(-0.797632\pi\)
0.959184 0.282782i \(-0.0912573\pi\)
\(48\) 173.475 28.4910i 0.521644 0.0856732i
\(49\) 164.191 + 59.7606i 0.478690 + 0.174229i
\(50\) 13.2249 + 75.0023i 0.0374057 + 0.212139i
\(51\) 62.3628 + 177.813i 0.171226 + 0.488212i
\(52\) −365.632 306.802i −0.975077 0.818187i
\(53\) −321.986 −0.834493 −0.417247 0.908793i \(-0.637005\pi\)
−0.417247 + 0.908793i \(0.637005\pi\)
\(54\) 49.9601 + 153.940i 0.125902 + 0.387937i
\(55\) 89.7310 0.219988
\(56\) 168.158 + 141.102i 0.401270 + 0.336705i
\(57\) 80.3025 93.4487i 0.186602 0.217151i
\(58\) −57.1507 324.118i −0.129384 0.733771i
\(59\) −382.499 139.218i −0.844018 0.307197i −0.116419 0.993200i \(-0.537142\pi\)
−0.727599 + 0.686003i \(0.759364\pi\)
\(60\) 93.9577 249.004i 0.202165 0.535772i
\(61\) 36.2242 205.438i 0.0760334 0.431207i −0.922900 0.385039i \(-0.874188\pi\)
0.998934 0.0461679i \(-0.0147009\pi\)
\(62\) 17.9686 31.1226i 0.0368068 0.0637512i
\(63\) 182.200 299.121i 0.364366 0.598186i
\(64\) 34.7329 + 60.1591i 0.0678377 + 0.117498i
\(65\) −516.481 + 187.984i −0.985563 + 0.358716i
\(66\) −60.2373 35.7282i −0.112344 0.0666339i
\(67\) −152.054 + 127.588i −0.277258 + 0.232647i −0.770804 0.637073i \(-0.780145\pi\)
0.493546 + 0.869720i \(0.335701\pi\)
\(68\) −185.269 + 155.459i −0.330399 + 0.277238i
\(69\) −12.1599 + 1034.90i −0.0212156 + 1.80562i
\(70\) 107.993 39.3064i 0.184395 0.0671145i
\(71\) −82.6900 143.223i −0.138218 0.239401i 0.788604 0.614901i \(-0.210804\pi\)
−0.926822 + 0.375500i \(0.877471\pi\)
\(72\) −356.811 + 285.386i −0.584035 + 0.467125i
\(73\) 484.355 838.928i 0.776568 1.34506i −0.157341 0.987544i \(-0.550292\pi\)
0.933909 0.357511i \(-0.116375\pi\)
\(74\) 68.6357 389.252i 0.107821 0.611482i
\(75\) 217.404 + 265.362i 0.334715 + 0.408551i
\(76\) 148.605 + 54.0876i 0.224291 + 0.0816352i
\(77\) 26.3187 + 149.261i 0.0389518 + 0.220907i
\(78\) 421.569 + 79.4519i 0.611965 + 0.115335i
\(79\) 759.383 + 637.198i 1.08148 + 0.907473i 0.996043 0.0888706i \(-0.0283258\pi\)
0.0854406 + 0.996343i \(0.472770\pi\)
\(80\) 259.829 0.363123
\(81\) 535.816 + 494.310i 0.735001 + 0.678066i
\(82\) −284.056 −0.382546
\(83\) 440.670 + 369.766i 0.582769 + 0.489001i 0.885855 0.463962i \(-0.153573\pi\)
−0.303086 + 0.952963i \(0.598017\pi\)
\(84\) 441.758 + 83.2568i 0.573806 + 0.108144i
\(85\) 48.3613 + 274.270i 0.0617120 + 0.349986i
\(86\) 165.847 + 60.3633i 0.207950 + 0.0756876i
\(87\) −939.496 1146.74i −1.15775 1.41315i
\(88\) 34.3334 194.714i 0.0415904 0.235871i
\(89\) −140.691 + 243.684i −0.167564 + 0.290229i −0.937563 0.347816i \(-0.886923\pi\)
0.769999 + 0.638045i \(0.220257\pi\)
\(90\) 35.9910 + 236.482i 0.0421531 + 0.276970i
\(91\) −464.184 803.990i −0.534722 0.926165i
\(92\) −1248.27 + 454.335i −1.41458 + 0.514866i
\(93\) 1.90184 161.862i 0.00212056 0.180477i
\(94\) −253.447 + 212.667i −0.278097 + 0.233351i
\(95\) 139.502 117.056i 0.150659 0.126418i
\(96\) −779.454 462.312i −0.828673 0.491506i
\(97\) 446.114 162.372i 0.466969 0.169963i −0.0978099 0.995205i \(-0.531184\pi\)
0.564779 + 0.825242i \(0.308961\pi\)
\(98\) −100.782 174.560i −0.103883 0.179931i
\(99\) −315.378 7.41226i −0.320169 0.00752485i
\(100\) −220.149 + 381.310i −0.220149 + 0.381310i
\(101\) 247.912 1405.98i 0.244240 1.38515i −0.578012 0.816028i \(-0.696171\pi\)
0.822252 0.569124i \(-0.192718\pi\)
\(102\) 76.7408 203.377i 0.0744948 0.197424i
\(103\) −1158.18 421.542i −1.10795 0.403260i −0.277708 0.960666i \(-0.589575\pi\)
−0.830241 + 0.557405i \(0.811797\pi\)
\(104\) 210.302 + 1192.68i 0.198287 + 1.12454i
\(105\) 337.380 392.611i 0.313570 0.364904i
\(106\) 284.539 + 238.757i 0.260725 + 0.218774i
\(107\) 1720.54 1.55449 0.777247 0.629196i \(-0.216616\pi\)
0.777247 + 0.629196i \(0.216616\pi\)
\(108\) −350.803 + 867.416i −0.312556 + 0.772844i
\(109\) −313.942 −0.275873 −0.137937 0.990441i \(-0.544047\pi\)
−0.137937 + 0.990441i \(0.544047\pi\)
\(110\) −79.2954 66.5367i −0.0687320 0.0576730i
\(111\) −589.225 1680.04i −0.503844 1.43660i
\(112\) 76.2096 + 432.206i 0.0642958 + 0.364640i
\(113\) −500.705 182.242i −0.416835 0.151716i 0.125084 0.992146i \(-0.460080\pi\)
−0.541919 + 0.840431i \(0.682302\pi\)
\(114\) −140.257 + 23.0354i −0.115230 + 0.0189251i
\(115\) −265.628 + 1506.45i −0.215390 + 1.22154i
\(116\) 951.362 1647.81i 0.761480 1.31892i
\(117\) 1830.81 618.044i 1.44665 0.488361i
\(118\) 234.782 + 406.655i 0.183165 + 0.317251i
\(119\) −442.043 + 160.890i −0.340521 + 0.123940i
\(120\) −588.751 + 330.754i −0.447878 + 0.251613i
\(121\) −915.030 + 767.801i −0.687475 + 0.576860i
\(122\) −184.346 + 154.685i −0.136803 + 0.114791i
\(123\) −1115.51 + 626.679i −0.817738 + 0.459397i
\(124\) 195.234 71.0594i 0.141391 0.0514623i
\(125\) 733.503 + 1270.46i 0.524852 + 0.909071i
\(126\) −382.812 + 129.230i −0.270664 + 0.0913706i
\(127\) 50.2066 86.9604i 0.0350797 0.0607598i −0.847953 0.530072i \(-0.822165\pi\)
0.883032 + 0.469312i \(0.155498\pi\)
\(128\) 256.199 1452.98i 0.176914 1.00333i
\(129\) 784.462 128.838i 0.535411 0.0879343i
\(130\) 595.807 + 216.856i 0.401967 + 0.146304i
\(131\) −31.1900 176.887i −0.0208022 0.117975i 0.972638 0.232324i \(-0.0746329\pi\)
−0.993441 + 0.114349i \(0.963522\pi\)
\(132\) −134.003 382.080i −0.0883599 0.251938i
\(133\) 235.630 + 197.717i 0.153622 + 0.128904i
\(134\) 228.978 0.147617
\(135\) 663.059 + 849.274i 0.422719 + 0.541436i
\(136\) 613.665 0.386922
\(137\) 1384.41 + 1161.66i 0.863344 + 0.724431i 0.962686 0.270622i \(-0.0872294\pi\)
−0.0993420 + 0.995053i \(0.531674\pi\)
\(138\) 778.141 905.529i 0.479998 0.558578i
\(139\) 148.123 + 840.050i 0.0903861 + 0.512605i 0.996064 + 0.0886382i \(0.0282515\pi\)
−0.905678 + 0.423967i \(0.860637\pi\)
\(140\) 624.341 + 227.241i 0.376903 + 0.137182i
\(141\) −526.119 + 1394.31i −0.314236 + 0.832779i
\(142\) −33.1287 + 187.882i −0.0195782 + 0.111033i
\(143\) −418.092 + 724.157i −0.244494 + 0.423476i
\(144\) −913.225 21.4633i −0.528487 0.0124209i
\(145\) −1095.53 1897.51i −0.627440 1.08676i
\(146\) −1050.10 + 382.205i −0.595253 + 0.216654i
\(147\) −780.889 463.164i −0.438140 0.259871i
\(148\) 1750.48 1468.83i 0.972222 0.815791i
\(149\) −1741.89 + 1461.62i −0.957725 + 0.803627i −0.980581 0.196112i \(-0.937168\pi\)
0.0228566 + 0.999739i \(0.492724\pi\)
\(150\) 4.64947 395.708i 0.00253085 0.215396i
\(151\) 32.0911 11.6802i 0.0172950 0.00629485i −0.333358 0.942800i \(-0.608182\pi\)
0.350653 + 0.936505i \(0.385960\pi\)
\(152\) −200.632 347.504i −0.107062 0.185436i
\(153\) −147.320 967.975i −0.0778437 0.511478i
\(154\) 87.4209 151.417i 0.0457440 0.0792309i
\(155\) 41.5450 235.613i 0.0215289 0.122096i
\(156\) 1571.76 + 1918.48i 0.806674 + 0.984623i
\(157\) −1761.03 640.961i −0.895192 0.325823i −0.146867 0.989156i \(-0.546919\pi\)
−0.748324 + 0.663333i \(0.769141\pi\)
\(158\) −198.577 1126.18i −0.0999868 0.567053i
\(159\) 1644.14 + 309.867i 0.820056 + 0.154554i
\(160\) −1026.06 860.966i −0.506982 0.425408i
\(161\) −2583.77 −1.26478
\(162\) −106.963 834.137i −0.0518754 0.404543i
\(163\) 1450.53 0.697020 0.348510 0.937305i \(-0.386688\pi\)
0.348510 + 0.937305i \(0.386688\pi\)
\(164\) −1258.01 1055.59i −0.598986 0.502609i
\(165\) −458.190 86.3537i −0.216182 0.0407432i
\(166\) −115.234 653.525i −0.0538789 0.305563i
\(167\) 1758.56 + 640.064i 0.814860 + 0.296585i 0.715630 0.698480i \(-0.246140\pi\)
0.0992302 + 0.995065i \(0.468362\pi\)
\(168\) −722.869 882.330i −0.331967 0.405198i
\(169\) 507.898 2880.43i 0.231178 1.31108i
\(170\) 160.638 278.234i 0.0724729 0.125527i
\(171\) −499.977 + 399.893i −0.223592 + 0.178834i
\(172\) 510.171 + 883.641i 0.226164 + 0.391727i
\(173\) −797.694 + 290.337i −0.350564 + 0.127595i −0.511299 0.859403i \(-0.670836\pi\)
0.160736 + 0.986998i \(0.448613\pi\)
\(174\) −20.0924 + 1710.03i −0.00875403 + 0.745039i
\(175\) −656.042 + 550.484i −0.283383 + 0.237787i
\(176\) 302.814 254.091i 0.129690 0.108823i
\(177\) 1819.16 + 1078.99i 0.772521 + 0.458201i
\(178\) 305.023 111.019i 0.128441 0.0467486i
\(179\) −1072.00 1856.77i −0.447628 0.775314i 0.550603 0.834767i \(-0.314398\pi\)
−0.998231 + 0.0594528i \(0.981064\pi\)
\(180\) −719.404 + 1181.06i −0.297896 + 0.489060i
\(181\) −328.190 + 568.441i −0.134774 + 0.233436i −0.925511 0.378720i \(-0.876364\pi\)
0.790737 + 0.612156i \(0.209698\pi\)
\(182\) −185.969 + 1054.68i −0.0757416 + 0.429552i
\(183\) −382.676 + 1014.16i −0.154580 + 0.409665i
\(184\) 3167.33 + 1152.81i 1.26901 + 0.461883i
\(185\) −456.934 2591.40i −0.181592 1.02986i
\(186\) −121.704 + 141.628i −0.0479772 + 0.0558314i
\(187\) 324.575 + 272.351i 0.126927 + 0.106504i
\(188\) −1912.75 −0.742029
\(189\) −1218.22 + 1352.05i −0.468850 + 0.520354i
\(190\) −210.076 −0.0802132
\(191\) 2772.47 + 2326.38i 1.05031 + 0.881314i 0.993126 0.117049i \(-0.0373436\pi\)
0.0571834 + 0.998364i \(0.481788\pi\)
\(192\) −119.460 340.614i −0.0449026 0.128030i
\(193\) −365.157 2070.91i −0.136190 0.772370i −0.974024 0.226445i \(-0.927290\pi\)
0.837834 0.545925i \(-0.183822\pi\)
\(194\) −514.632 187.311i −0.190456 0.0693203i
\(195\) 2818.19 462.852i 1.03495 0.169977i
\(196\) 202.353 1147.60i 0.0737437 0.418221i
\(197\) −2294.50 + 3974.20i −0.829831 + 1.43731i 0.0683399 + 0.997662i \(0.478230\pi\)
−0.898171 + 0.439647i \(0.855104\pi\)
\(198\) 273.204 + 240.407i 0.0980594 + 0.0862879i
\(199\) 983.076 + 1702.74i 0.350193 + 0.606552i 0.986283 0.165063i \(-0.0527827\pi\)
−0.636090 + 0.771615i \(0.719449\pi\)
\(200\) 1049.82 382.104i 0.371169 0.135094i
\(201\) 899.210 505.167i 0.315549 0.177272i
\(202\) −1261.63 + 1058.64i −0.439447 + 0.368740i
\(203\) 2835.04 2378.88i 0.980202 0.822487i
\(204\) 1095.64 615.518i 0.376030 0.211250i
\(205\) −1777.02 + 646.784i −0.605428 + 0.220358i
\(206\) 710.904 + 1231.32i 0.240442 + 0.416458i
\(207\) 1058.04 5272.79i 0.355262 1.77045i
\(208\) −1210.65 + 2096.91i −0.403574 + 0.699011i
\(209\) 48.1093 272.841i 0.0159224 0.0903006i
\(210\) −589.269 + 96.7798i −0.193635 + 0.0318021i
\(211\) 554.841 + 201.946i 0.181028 + 0.0658887i 0.430944 0.902379i \(-0.358181\pi\)
−0.249916 + 0.968268i \(0.580403\pi\)
\(212\) 372.892 + 2114.77i 0.120803 + 0.685109i
\(213\) 284.404 + 810.913i 0.0914884 + 0.260858i
\(214\) −1520.44 1275.80i −0.485679 0.407533i
\(215\) 1174.96 0.372706
\(216\) 2096.61 1113.87i 0.660446 0.350877i
\(217\) 404.110 0.126418
\(218\) 277.431 + 232.792i 0.0861926 + 0.0723242i
\(219\) −3280.59 + 3817.65i −1.01225 + 1.17796i
\(220\) −103.917 589.345i −0.0318460 0.180607i
\(221\) −2438.78 887.644i −0.742309 0.270178i
\(222\) −725.073 + 1921.57i −0.219206 + 0.580934i
\(223\) −745.499 + 4227.93i −0.223867 + 1.26961i 0.640973 + 0.767563i \(0.278531\pi\)
−0.864840 + 0.502048i \(0.832580\pi\)
\(224\) 1131.20 1959.30i 0.337417 0.584424i
\(225\) −854.745 1564.23i −0.253258 0.463475i
\(226\) 307.339 + 532.326i 0.0904596 + 0.156681i
\(227\) 4108.16 1495.25i 1.20118 0.437195i 0.337546 0.941309i \(-0.390403\pi\)
0.863637 + 0.504114i \(0.168181\pi\)
\(228\) −706.761 419.197i −0.205291 0.121763i
\(229\) 4523.97 3796.06i 1.30547 1.09542i 0.316296 0.948660i \(-0.397561\pi\)
0.989172 0.146758i \(-0.0468838\pi\)
\(230\) 1351.79 1134.28i 0.387540 0.325185i
\(231\) 9.25283 787.491i 0.00263546 0.224299i
\(232\) −4536.75 + 1651.24i −1.28384 + 0.467281i
\(233\) −1092.56 1892.37i −0.307193 0.532073i 0.670554 0.741860i \(-0.266056\pi\)
−0.977747 + 0.209787i \(0.932723\pi\)
\(234\) −2076.18 811.403i −0.580017 0.226680i
\(235\) −1101.30 + 1907.51i −0.305707 + 0.529499i
\(236\) −471.400 + 2673.44i −0.130024 + 0.737400i
\(237\) −3264.39 3984.50i −0.894704 1.09207i
\(238\) 509.936 + 185.602i 0.138883 + 0.0505494i
\(239\) −217.813 1235.28i −0.0589505 0.334325i 0.941042 0.338291i \(-0.109849\pi\)
−0.999992 + 0.00396578i \(0.998738\pi\)
\(240\) −1326.76 250.050i −0.356841 0.0672527i
\(241\) −1882.83 1579.88i −0.503252 0.422279i 0.355495 0.934678i \(-0.384312\pi\)
−0.858747 + 0.512399i \(0.828757\pi\)
\(242\) 1377.95 0.366024
\(243\) −2260.31 3039.72i −0.596703 0.802463i
\(244\) −1391.25 −0.365023
\(245\) −1027.95 862.551i −0.268054 0.224924i
\(246\) 1450.46 + 273.365i 0.375928 + 0.0708501i
\(247\) 294.683 + 1671.23i 0.0759119 + 0.430518i
\(248\) −495.380 180.304i −0.126841 0.0461665i
\(249\) −1894.33 2312.20i −0.482120 0.588474i
\(250\) 293.869 1666.61i 0.0743436 0.421624i
\(251\) 39.4859 68.3916i 0.00992960 0.0171986i −0.861018 0.508575i \(-0.830173\pi\)
0.870948 + 0.491376i \(0.163506\pi\)
\(252\) −2175.60 850.262i −0.543850 0.212545i
\(253\) 1163.61 + 2015.43i 0.289152 + 0.500825i
\(254\) −108.850 + 39.6181i −0.0268892 + 0.00978687i
\(255\) 17.0023 1447.04i 0.00417540 0.355360i
\(256\) −878.093 + 736.808i −0.214378 + 0.179885i
\(257\) 249.106 209.024i 0.0604622 0.0507338i −0.612056 0.790815i \(-0.709657\pi\)
0.672518 + 0.740081i \(0.265213\pi\)
\(258\) −788.764 467.835i −0.190335 0.112892i
\(259\) 4176.57 1520.15i 1.00201 0.364700i
\(260\) 1832.80 + 3174.50i 0.437174 + 0.757208i
\(261\) 3693.73 + 6759.71i 0.875999 + 1.60312i
\(262\) −103.602 + 179.443i −0.0244295 + 0.0423131i
\(263\) −749.827 + 4252.48i −0.175803 + 0.997031i 0.761409 + 0.648272i \(0.224508\pi\)
−0.937212 + 0.348759i \(0.886603\pi\)
\(264\) −362.701 + 961.221i −0.0845557 + 0.224087i
\(265\) 2323.68 + 845.751i 0.538652 + 0.196053i
\(266\) −61.6166 349.445i −0.0142028 0.0805483i
\(267\) 952.916 1108.92i 0.218418 0.254174i
\(268\) 1014.08 + 850.914i 0.231137 + 0.193947i
\(269\) 1591.29 0.360678 0.180339 0.983604i \(-0.442280\pi\)
0.180339 + 0.983604i \(0.442280\pi\)
\(270\) 43.8018 1242.17i 0.00987293 0.279986i
\(271\) −1969.04 −0.441369 −0.220684 0.975345i \(-0.570829\pi\)
−0.220684 + 0.975345i \(0.570829\pi\)
\(272\) 939.855 + 788.632i 0.209511 + 0.175801i
\(273\) 1596.51 + 4552.09i 0.353939 + 1.00918i
\(274\) −362.020 2053.12i −0.0798190 0.452676i
\(275\) 724.846 + 263.822i 0.158945 + 0.0578512i
\(276\) 6811.24 1118.66i 1.48547 0.243968i
\(277\) −313.846 + 1779.91i −0.0680764 + 0.386081i 0.931665 + 0.363320i \(0.118357\pi\)
−0.999741 + 0.0227609i \(0.992754\pi\)
\(278\) 492.011 852.188i 0.106147 0.183852i
\(279\) −165.481 + 824.681i −0.0355094 + 0.176962i
\(280\) −842.925 1459.99i −0.179909 0.311611i
\(281\) 2764.86 1006.33i 0.586967 0.213639i −0.0314277 0.999506i \(-0.510005\pi\)
0.618395 + 0.785867i \(0.287783\pi\)
\(282\) 1498.83 842.027i 0.316504 0.177808i
\(283\) −1458.43 + 1223.76i −0.306341 + 0.257050i −0.782978 0.622050i \(-0.786300\pi\)
0.476637 + 0.879100i \(0.341856\pi\)
\(284\) −844.914 + 708.967i −0.176537 + 0.148132i
\(285\) −824.981 + 463.466i −0.171465 + 0.0963275i
\(286\) 906.441 329.917i 0.187409 0.0682113i
\(287\) −1597.09 2766.24i −0.328478 0.568940i
\(288\) 3535.18 + 3110.80i 0.723307 + 0.636478i
\(289\) 1798.97 3115.91i 0.366165 0.634217i
\(290\) −438.911 + 2489.19i −0.0888749 + 0.504034i
\(291\) −2434.23 + 399.791i −0.490368 + 0.0805366i
\(292\) −6070.93 2209.64i −1.21669 0.442840i
\(293\) 389.898 + 2211.22i 0.0777408 + 0.440890i 0.998688 + 0.0512033i \(0.0163056\pi\)
−0.920947 + 0.389687i \(0.872583\pi\)
\(294\) 346.630 + 988.338i 0.0687616 + 0.196058i
\(295\) 2394.71 + 2009.40i 0.472628 + 0.396582i
\(296\) −5798.12 −1.13854
\(297\) 1603.27 + 341.357i 0.313236 + 0.0666921i
\(298\) 2623.12 0.509910
\(299\) −10919.8 9162.84i −2.11208 1.77224i
\(300\) 1491.10 1735.20i 0.286962 0.333940i
\(301\) 344.624 + 1954.46i 0.0659927 + 0.374263i
\(302\) −37.0200 13.4742i −0.00705385 0.00256739i
\(303\) −2618.97 + 6940.72i −0.496554 + 1.31595i
\(304\) 139.308 790.053i 0.0262824 0.149055i
\(305\) −801.039 + 1387.44i −0.150385 + 0.260474i
\(306\) −587.580 + 964.640i −0.109770 + 0.180212i
\(307\) −1641.19 2842.62i −0.305106 0.528459i 0.672179 0.740389i \(-0.265358\pi\)
−0.977285 + 0.211930i \(0.932025\pi\)
\(308\) 949.851 345.717i 0.175723 0.0639580i
\(309\) 5508.28 + 3267.09i 1.01409 + 0.601483i
\(310\) −211.424 + 177.406i −0.0387357 + 0.0325031i
\(311\) −416.568 + 349.542i −0.0759530 + 0.0637321i −0.679974 0.733236i \(-0.738009\pi\)
0.604021 + 0.796969i \(0.293564\pi\)
\(312\) 73.9356 6292.52i 0.0134160 1.14181i
\(313\) 4550.96 1656.41i 0.821839 0.299125i 0.103334 0.994647i \(-0.467049\pi\)
0.718505 + 0.695522i \(0.244827\pi\)
\(314\) 1080.94 + 1872.24i 0.194270 + 0.336486i
\(315\) −2100.58 + 1680.09i −0.375728 + 0.300516i
\(316\) 3305.62 5725.50i 0.588467 1.01925i
\(317\) −253.609 + 1438.29i −0.0449340 + 0.254834i −0.998997 0.0447718i \(-0.985744\pi\)
0.954063 + 0.299605i \(0.0968550\pi\)
\(318\) −1223.16 1492.98i −0.215696 0.263278i
\(319\) −3132.38 1140.09i −0.549778 0.200103i
\(320\) −92.6394 525.384i −0.0161834 0.0917808i
\(321\) −8785.51 1655.78i −1.52760 0.287902i
\(322\) 2283.28 + 1915.90i 0.395162 + 0.331581i
\(323\) 859.891 0.148129
\(324\) 2626.06 4091.65i 0.450284 0.701586i
\(325\) −4724.83 −0.806419
\(326\) −1281.83 1075.59i −0.217774 0.182734i
\(327\) 1603.07 + 302.126i 0.271100 + 0.0510935i
\(328\) 723.572 + 4103.58i 0.121807 + 0.690800i
\(329\) −3496.02 1272.45i −0.585841 0.213229i
\(330\) 340.870 + 416.064i 0.0568615 + 0.0694048i
\(331\) 718.217 4073.21i 0.119265 0.676386i −0.865285 0.501281i \(-0.832862\pi\)
0.984550 0.175105i \(-0.0560266\pi\)
\(332\) 1918.25 3322.51i 0.317101 0.549236i
\(333\) 1391.93 + 9145.76i 0.229060 + 1.50506i
\(334\) −1079.43 1869.62i −0.176837 0.306291i
\(335\) 1432.46 521.373i 0.233623 0.0850318i
\(336\) 26.7929 2280.30i 0.00435022 0.370239i
\(337\) 990.666 831.268i 0.160134 0.134368i −0.559200 0.829033i \(-0.688892\pi\)
0.719334 + 0.694665i \(0.244447\pi\)
\(338\) −2584.71 + 2168.83i −0.415946 + 0.349020i
\(339\) 2381.35 + 1412.43i 0.381525 + 0.226291i
\(340\) 1745.38 635.265i 0.278401 0.101330i
\(341\) −181.992 315.219i −0.0289015 0.0500589i
\(342\) 738.356 + 17.3534i 0.116742 + 0.00274376i
\(343\) 3357.98 5816.18i 0.528611 0.915581i
\(344\) 449.571 2549.65i 0.0704630 0.399615i
\(345\) 2806.11 7436.68i 0.437901 1.16051i
\(346\) 920.211 + 334.929i 0.142979 + 0.0520402i
\(347\) 1770.08 + 10038.6i 0.273841 + 1.55303i 0.742618 + 0.669715i \(0.233584\pi\)
−0.468777 + 0.883317i \(0.655305\pi\)
\(348\) −6443.68 + 7498.57i −0.992580 + 1.15507i
\(349\) −1281.95 1075.68i −0.196622 0.164986i 0.539161 0.842203i \(-0.318741\pi\)
−0.735783 + 0.677217i \(0.763186\pi\)
\(350\) 987.936 0.150878
\(351\) −9943.37 + 1393.99i −1.51207 + 0.211982i
\(352\) −2037.75 −0.308559
\(353\) −5103.18 4282.07i −0.769447 0.645643i 0.171120 0.985250i \(-0.445261\pi\)
−0.940567 + 0.339608i \(0.889706\pi\)
\(354\) −807.509 2302.43i −0.121239 0.345686i
\(355\) 220.550 + 1250.80i 0.0329735 + 0.187002i
\(356\) 1763.43 + 641.835i 0.262532 + 0.0955539i
\(357\) 2412.02 396.143i 0.357584 0.0587286i
\(358\) −429.485 + 2435.73i −0.0634050 + 0.359588i
\(359\) 2601.49 4505.92i 0.382455 0.662432i −0.608957 0.793203i \(-0.708412\pi\)
0.991413 + 0.130771i \(0.0417452\pi\)
\(360\) 3324.62 1122.32i 0.486730 0.164310i
\(361\) 3148.37 + 5453.13i 0.459013 + 0.795033i
\(362\) 711.528 258.975i 0.103307 0.0376006i
\(363\) 5411.28 3040.00i 0.782420 0.439555i
\(364\) −4742.96 + 3979.82i −0.682964 + 0.573075i
\(365\) −5699.05 + 4782.07i −0.817265 + 0.685767i
\(366\) 1090.18 612.453i 0.155696 0.0874684i
\(367\) −10308.0 + 3751.81i −1.46614 + 0.533632i −0.947050 0.321087i \(-0.895952\pi\)
−0.519091 + 0.854719i \(0.673729\pi\)
\(368\) 3369.40 + 5835.97i 0.477288 + 0.826687i
\(369\) 6299.15 2126.47i 0.888674 0.299998i
\(370\) −1517.76 + 2628.85i −0.213256 + 0.369371i
\(371\) −725.291 + 4113.33i −0.101497 + 0.575616i
\(372\) −1065.30 + 174.962i −0.148476 + 0.0243853i
\(373\) 784.003 + 285.354i 0.108831 + 0.0396114i 0.395862 0.918310i \(-0.370446\pi\)
−0.287030 + 0.957921i \(0.592668\pi\)
\(374\) −84.8756 481.353i −0.0117348 0.0665513i
\(375\) −2522.81 7193.22i −0.347406 0.990550i
\(376\) 3717.88 + 3119.67i 0.509933 + 0.427885i
\(377\) 20418.0 2.78934
\(378\) 2079.10 291.476i 0.282904 0.0396611i
\(379\) 10439.8 1.41492 0.707459 0.706754i \(-0.249841\pi\)
0.707459 + 0.706754i \(0.249841\pi\)
\(380\) −930.368 780.672i −0.125597 0.105388i
\(381\) −340.055 + 395.725i −0.0457259 + 0.0532116i
\(382\) −724.995 4111.65i −0.0971046 0.550708i
\(383\) 9129.32 + 3322.80i 1.21798 + 0.443309i 0.869465 0.493994i \(-0.164464\pi\)
0.348516 + 0.937303i \(0.386686\pi\)
\(384\) −2706.51 + 7172.71i −0.359677 + 0.953206i
\(385\) 202.124 1146.30i 0.0267564 0.151743i
\(386\) −1212.92 + 2100.83i −0.159938 + 0.277020i
\(387\) −4129.65 97.0582i −0.542434 0.0127487i
\(388\) −1583.09 2741.99i −0.207137 0.358772i
\(389\) 6289.83 2289.31i 0.819812 0.298387i 0.102142 0.994770i \(-0.467431\pi\)
0.717671 + 0.696383i \(0.245208\pi\)
\(390\) −2833.65 1680.71i −0.367917 0.218220i
\(391\) −5533.19 + 4642.89i −0.715666 + 0.600515i
\(392\) −2265.04 + 1900.59i −0.291841 + 0.244884i
\(393\) −10.9654 + 933.248i −0.00140746 + 0.119787i
\(394\) 4974.58 1810.60i 0.636080 0.231514i
\(395\) −3806.55 6593.13i −0.484881 0.839839i
\(396\) 316.557 + 2079.96i 0.0401706 + 0.263944i
\(397\) −4335.99 + 7510.15i −0.548153 + 0.949429i 0.450248 + 0.892904i \(0.351336\pi\)
−0.998401 + 0.0565258i \(0.981998\pi\)
\(398\) 393.857 2233.67i 0.0496037 0.281317i
\(399\) −1012.91 1236.35i −0.127090 0.155126i
\(400\) 2098.90 + 763.937i 0.262362 + 0.0954921i
\(401\) −1265.71 7178.21i −0.157622 0.893921i −0.956349 0.292227i \(-0.905604\pi\)
0.798726 0.601694i \(-0.205507\pi\)
\(402\) −1169.22 220.360i −0.145063 0.0273397i
\(403\) 1707.90 + 1433.10i 0.211108 + 0.177141i
\(404\) −9521.47 −1.17255
\(405\) −2568.44 4974.72i −0.315128 0.610360i
\(406\) −4269.30 −0.521877
\(407\) −3066.69 2573.26i −0.373490 0.313395i
\(408\) −3133.53 590.568i −0.380228 0.0716605i
\(409\) 732.096 + 4151.92i 0.0885081 + 0.501955i 0.996544 + 0.0830628i \(0.0264702\pi\)
−0.908036 + 0.418892i \(0.862419\pi\)
\(410\) 2049.96 + 746.123i 0.246927 + 0.0898742i
\(411\) −5951.22 7264.02i −0.714238 0.871795i
\(412\) −1427.37 + 8095.00i −0.170683 + 0.967990i
\(413\) −2640.10 + 4572.78i −0.314554 + 0.544823i
\(414\) −4844.83 + 3875.01i −0.575146 + 0.460016i
\(415\) −2208.94 3826.00i −0.261283 0.452556i
\(416\) 11729.1 4269.04i 1.38237 0.503141i
\(417\) 52.0756 4432.06i 0.00611548 0.520477i
\(418\) −244.830 + 205.436i −0.0286483 + 0.0240388i
\(419\) 2785.14 2337.01i 0.324733 0.272483i −0.465817 0.884881i \(-0.654239\pi\)
0.790550 + 0.612398i \(0.209795\pi\)
\(420\) −2969.36 1761.20i −0.344976 0.204613i
\(421\) 3313.92 1206.17i 0.383636 0.139632i −0.143001 0.989723i \(-0.545675\pi\)
0.526637 + 0.850091i \(0.323453\pi\)
\(422\) −340.568 589.882i −0.0392858 0.0680450i
\(423\) 4028.33 6613.38i 0.463036 0.760173i
\(424\) 2724.36 4718.74i 0.312044 0.540477i
\(425\) −415.733 + 2357.74i −0.0474495 + 0.269099i
\(426\) 349.974 927.493i 0.0398036 0.105486i
\(427\) −2542.85 925.521i −0.288190 0.104893i
\(428\) −1992.56 11300.3i −0.225032 1.27622i
\(429\) 2831.79 3295.38i 0.318695 0.370868i
\(430\) −1038.32 871.250i −0.116447 0.0977103i
\(431\) −1227.61 −0.137197 −0.0685983 0.997644i \(-0.521853\pi\)
−0.0685983 + 0.997644i \(0.521853\pi\)
\(432\) 4642.51 + 988.450i 0.517043 + 0.110085i
\(433\) −13096.8 −1.45356 −0.726781 0.686869i \(-0.758985\pi\)
−0.726781 + 0.686869i \(0.758985\pi\)
\(434\) −357.112 299.653i −0.0394976 0.0331424i
\(435\) 3767.96 + 10743.5i 0.415310 + 1.18416i
\(436\) 363.576 + 2061.94i 0.0399361 + 0.226489i
\(437\) 4438.18 + 1615.36i 0.485828 + 0.176827i
\(438\) 5729.90 941.062i 0.625081 0.102661i
\(439\) 275.337 1561.51i 0.0299342 0.169765i −0.966176 0.257885i \(-0.916975\pi\)
0.996110 + 0.0881194i \(0.0280857\pi\)
\(440\) −759.226 + 1315.02i −0.0822607 + 0.142480i
\(441\) 3541.69 + 3116.53i 0.382431 + 0.336522i
\(442\) 1496.95 + 2592.80i 0.161092 + 0.279020i
\(443\) −16704.8 + 6080.04i −1.79157 + 0.652079i −0.792463 + 0.609921i \(0.791201\pi\)
−0.999111 + 0.0421589i \(0.986576\pi\)
\(444\) −10352.0 + 5815.63i −1.10649 + 0.621616i
\(445\) 1655.41 1389.05i 0.176345 0.147971i
\(446\) 3793.87 3183.43i 0.402791 0.337982i
\(447\) 10301.1 5787.07i 1.08999 0.612347i
\(448\) 846.764 308.197i 0.0892988 0.0325021i
\(449\) −367.697 636.869i −0.0386474 0.0669393i 0.846055 0.533096i \(-0.178972\pi\)
−0.884702 + 0.466157i \(0.845638\pi\)
\(450\) −404.556 + 2016.11i −0.0423799 + 0.211201i
\(451\) −1438.50 + 2491.56i −0.150192 + 0.260140i
\(452\) −617.081 + 3499.64i −0.0642147 + 0.364180i
\(453\) −175.106 + 28.7589i −0.0181616 + 0.00298281i
\(454\) −4739.14 1724.90i −0.489909 0.178312i
\(455\) 1238.07 + 7021.44i 0.127564 + 0.723450i
\(456\) 690.052 + 1967.53i 0.0708654 + 0.202057i
\(457\) −9890.38 8299.01i −1.01237 0.849478i −0.0237189 0.999719i \(-0.507551\pi\)
−0.988649 + 0.150241i \(0.951995\pi\)
\(458\) −6812.67 −0.695055
\(459\) −179.291 + 5084.51i −0.0182322 + 0.517047i
\(460\) 10201.8 1.03405
\(461\) 9334.65 + 7832.70i 0.943076 + 0.791335i 0.978118 0.208051i \(-0.0667120\pi\)
−0.0350418 + 0.999386i \(0.511156\pi\)
\(462\) −592.112 + 689.046i −0.0596267 + 0.0693881i
\(463\) −3036.40 17220.3i −0.304781 1.72850i −0.624536 0.780996i \(-0.714712\pi\)
0.319755 0.947500i \(-0.396399\pi\)
\(464\) −9070.26 3301.30i −0.907492 0.330300i
\(465\) −438.885 + 1163.12i −0.0437694 + 0.115997i
\(466\) −437.720 + 2482.43i −0.0435128 + 0.246774i
\(467\) 2497.25 4325.37i 0.247450 0.428596i −0.715368 0.698748i \(-0.753741\pi\)
0.962818 + 0.270152i \(0.0870741\pi\)
\(468\) −6179.52 11308.8i −0.610360 1.11699i
\(469\) 1287.41 + 2229.87i 0.126753 + 0.219543i
\(470\) 2387.67 869.040i 0.234330 0.0852890i
\(471\) 8375.41 + 4967.65i 0.819360 + 0.485982i
\(472\) 5276.63 4427.62i 0.514569 0.431775i
\(473\) 1369.34 1149.01i 0.133113 0.111695i
\(474\) −69.8134 + 5941.69i −0.00676506 + 0.575761i
\(475\) 1471.05 535.419i 0.142098 0.0517194i
\(476\) 1568.64 + 2716.97i 0.151048 + 0.261622i
\(477\) −8097.21 3164.52i −0.777244 0.303760i
\(478\) −723.495 + 1253.13i −0.0692299 + 0.119910i
\(479\) −2206.15 + 12511.7i −0.210442 + 1.19348i 0.678201 + 0.734876i \(0.262760\pi\)
−0.888643 + 0.458599i \(0.848351\pi\)
\(480\) 4410.76 + 5383.75i 0.419422 + 0.511945i
\(481\) 23042.4 + 8386.76i 2.18429 + 0.795018i
\(482\) 492.355 + 2792.29i 0.0465273 + 0.263870i
\(483\) 13193.4 + 2486.52i 1.24290 + 0.234246i
\(484\) 6102.54 + 5120.64i 0.573116 + 0.480902i
\(485\) −3645.98 −0.341351
\(486\) −256.561 + 4362.25i −0.0239461 + 0.407152i
\(487\) 8245.41 0.767218 0.383609 0.923496i \(-0.374681\pi\)
0.383609 + 0.923496i \(0.374681\pi\)
\(488\) 2704.22 + 2269.11i 0.250849 + 0.210487i
\(489\) −7406.78 1395.93i −0.684961 0.129093i
\(490\) 268.806 + 1524.48i 0.0247825 + 0.140548i
\(491\) −15342.3 5584.15i −1.41016 0.513257i −0.478985 0.877823i \(-0.658995\pi\)
−0.931178 + 0.364566i \(0.881217\pi\)
\(492\) 5407.84 + 6600.78i 0.495537 + 0.604850i
\(493\) 1796.57 10188.8i 0.164124 0.930795i
\(494\) 978.828 1695.38i 0.0891489 0.154410i
\(495\) 2256.53 + 881.888i 0.204896 + 0.0800766i
\(496\) −526.985 912.764i −0.0477063 0.0826297i
\(497\) −2015.93 + 733.737i −0.181945 + 0.0662225i
\(498\) −40.5127 + 3447.96i −0.00364542 + 0.310255i
\(499\) 10901.6 9147.50i 0.977998 0.820638i −0.00578835 0.999983i \(-0.501842\pi\)
0.983786 + 0.179346i \(0.0573981\pi\)
\(500\) 7494.83 6288.91i 0.670358 0.562497i
\(501\) −8363.70 4960.71i −0.745833 0.442371i
\(502\) −85.6071 + 31.1584i −0.00761121 + 0.00277026i
\(503\) −112.991 195.706i −0.0100159 0.0173481i 0.860974 0.508649i \(-0.169855\pi\)
−0.870990 + 0.491301i \(0.836522\pi\)
\(504\) 2842.03 + 5201.07i 0.251179 + 0.459670i
\(505\) −5482.17 + 9495.40i −0.483076 + 0.836712i
\(506\) 466.185 2643.86i 0.0409574 0.232281i
\(507\) −5365.48 + 14219.5i −0.469999 + 1.24558i
\(508\) −629.293 229.044i −0.0549613 0.0200043i
\(509\) −725.487 4114.44i −0.0631761 0.358290i −0.999965 0.00839383i \(-0.997328\pi\)
0.936789 0.349896i \(-0.113783\pi\)
\(510\) −1088.02 + 1266.14i −0.0944674 + 0.109933i
\(511\) −9626.17 8077.32i −0.833340 0.699255i
\(512\) −10480.8 −0.904669
\(513\) 2937.85 1560.80i 0.252845 0.134329i
\(514\) −375.129 −0.0321911
\(515\) 7251.00 + 6084.31i 0.620422 + 0.520596i
\(516\) −1754.68 5003.07i −0.149700 0.426837i
\(517\) 581.889 + 3300.06i 0.0494999 + 0.280728i
\(518\) −4818.05 1753.63i −0.408674 0.148745i
\(519\) 4352.64 714.864i 0.368130 0.0604606i
\(520\) 1615.09 9159.65i 0.136205 0.772456i
\(521\) −8636.71 + 14959.2i −0.726259 + 1.25792i 0.232195 + 0.972669i \(0.425409\pi\)
−0.958454 + 0.285248i \(0.907924\pi\)
\(522\) 1748.26 8712.50i 0.146589 0.730529i
\(523\) −707.631 1225.65i −0.0591636 0.102474i 0.834927 0.550361i \(-0.185510\pi\)
−0.894090 + 0.447887i \(0.852177\pi\)
\(524\) −1125.66 + 409.706i −0.0938447 + 0.0341567i
\(525\) 3879.68 2179.56i 0.322520 0.181189i
\(526\) 3815.89 3201.91i 0.316313 0.265418i
\(527\) 865.408 726.164i 0.0715328 0.0600231i
\(528\) −1790.77 + 1006.04i −0.147601 + 0.0829208i
\(529\) −25847.3 + 9407.66i −2.12438 + 0.773211i
\(530\) −1426.31 2470.43i −0.116896 0.202469i
\(531\) −8250.71 7260.26i −0.674294 0.593350i
\(532\) 1025.70 1776.57i 0.0835900 0.144782i
\(533\) 3060.11 17354.8i 0.248683 1.41035i
\(534\) −1664.37 + 273.351i −0.134877 + 0.0221518i
\(535\) −12416.7 4519.30i −1.00340 0.365208i
\(536\) −583.272 3307.90i −0.0470029 0.266566i
\(537\) 3687.05 + 10512.8i 0.296290 + 0.844805i
\(538\) −1406.22 1179.96i −0.112689 0.0945570i
\(539\) −2041.51 −0.163143
\(540\) 4810.07 5338.46i 0.383319 0.425427i
\(541\) −1781.53 −0.141578 −0.0707892 0.997491i \(-0.522552\pi\)
−0.0707892 + 0.997491i \(0.522552\pi\)
\(542\) 1740.05 + 1460.07i 0.137899 + 0.115711i
\(543\) 2222.87 2586.77i 0.175676 0.204436i
\(544\) −1098.26 6228.57i −0.0865583 0.490897i
\(545\) 2265.63 + 824.623i 0.178072 + 0.0648128i
\(546\) 1964.60 5206.52i 0.153987 0.408093i
\(547\) −1740.99 + 9873.64i −0.136087 + 0.771785i 0.838010 + 0.545654i \(0.183719\pi\)
−0.974097 + 0.226131i \(0.927392\pi\)
\(548\) 6026.38 10438.0i 0.469770 0.813666i
\(549\) 2930.03 4810.28i 0.227779 0.373948i
\(550\) −444.919 770.623i −0.0344935 0.0597445i
\(551\) −6357.06 + 2313.78i −0.491506 + 0.178894i
\(552\) −15063.8 8934.67i −1.16151 0.688922i
\(553\) 9850.68 8265.70i 0.757493 0.635612i
\(554\) 1597.17 1340.19i 0.122486 0.102778i
\(555\) −160.644 + 13672.1i −0.0122864 + 1.04567i
\(556\) 5345.83 1945.72i 0.407758 0.148412i
\(557\) −1468.87 2544.15i −0.111738 0.193536i 0.804733 0.593637i \(-0.202308\pi\)
−0.916471 + 0.400101i \(0.868975\pi\)
\(558\) 757.748 606.064i 0.0574875 0.0459798i
\(559\) −5474.62 + 9482.32i −0.414225 + 0.717458i
\(560\) 585.281 3319.29i 0.0441654 0.250475i
\(561\) −1395.26 1703.05i −0.105005 0.128169i
\(562\) −3189.52 1160.89i −0.239398 0.0871337i
\(563\) 906.104 + 5138.77i 0.0678290 + 0.384677i 0.999757 + 0.0220345i \(0.00701436\pi\)
−0.931928 + 0.362643i \(0.881875\pi\)
\(564\) 9766.99 + 1840.76i 0.729192 + 0.137429i
\(565\) 3134.76 + 2630.38i 0.233417 + 0.195860i
\(566\) 2196.25 0.163101
\(567\) 7521.72 5731.52i 0.557112 0.424517i
\(568\) 2798.61 0.206737
\(569\) 6604.67 + 5541.97i 0.486612 + 0.408316i 0.852810 0.522221i \(-0.174896\pi\)
−0.366199 + 0.930537i \(0.619341\pi\)
\(570\) 1072.70 + 202.169i 0.0788255 + 0.0148560i
\(571\) 1857.04 + 10531.8i 0.136103 + 0.771877i 0.974085 + 0.226180i \(0.0726239\pi\)
−0.837983 + 0.545697i \(0.816265\pi\)
\(572\) 5240.39 + 1907.35i 0.383063 + 0.139423i
\(573\) −11918.1 14547.2i −0.868913 1.06059i
\(574\) −639.853 + 3628.79i −0.0465278 + 0.263872i
\(575\) −6574.91 + 11388.1i −0.476857 + 0.825941i
\(576\) 282.201 + 1854.22i 0.0204138 + 0.134131i
\(577\) 11035.7 + 19114.4i 0.796225 + 1.37910i 0.922058 + 0.387051i \(0.126506\pi\)
−0.125833 + 0.992051i \(0.540160\pi\)
\(578\) −3900.24 + 1419.57i −0.280672 + 0.102156i
\(579\) −128.378 + 10926.0i −0.00921452 + 0.784231i
\(580\) −11194.0 + 9392.86i −0.801387 + 0.672443i
\(581\) 5716.35 4796.59i 0.408183 0.342506i
\(582\) 2447.58 + 1451.72i 0.174322 + 0.103395i
\(583\) 3535.17 1286.70i 0.251135 0.0914057i
\(584\) 8196.39 + 14196.6i 0.580769 + 1.00592i
\(585\) −14835.9 348.684i −1.04853 0.0246432i
\(586\) 1295.10 2243.17i 0.0912967 0.158131i
\(587\) 2983.21 16918.6i 0.209762 1.18962i −0.680007 0.733205i \(-0.738023\pi\)
0.889769 0.456412i \(-0.150866\pi\)
\(588\) −2137.67 + 5665.20i −0.149925 + 0.397328i
\(589\) −694.145 252.648i −0.0485599 0.0176743i
\(590\) −626.210 3551.41i −0.0436960 0.247813i
\(591\) 15540.9 18085.1i 1.08167 1.25875i
\(592\) −8880.07 7451.26i −0.616501 0.517306i
\(593\) 5277.08 0.365436 0.182718 0.983165i \(-0.441510\pi\)
0.182718 + 0.983165i \(0.441510\pi\)
\(594\) −1163.69 1490.50i −0.0803818 0.102956i
\(595\) 3612.71 0.248919
\(596\) 11617.1 + 9747.86i 0.798411 + 0.669946i
\(597\) −3381.19 9640.69i −0.231797 0.660917i
\(598\) 2855.51 + 16194.4i 0.195269 + 1.10742i
\(599\) 23691.1 + 8622.84i 1.61601 + 0.588180i 0.982616 0.185650i \(-0.0594390\pi\)
0.633394 + 0.773829i \(0.281661\pi\)
\(600\) −5728.39 + 940.813i −0.389768 + 0.0640142i
\(601\) 2466.89 13990.4i 0.167432 0.949555i −0.779089 0.626913i \(-0.784318\pi\)
0.946521 0.322641i \(-0.104571\pi\)
\(602\) 1144.71 1982.70i 0.0775000 0.134234i
\(603\) −5077.75 + 1714.15i −0.342922 + 0.115764i
\(604\) −113.879 197.245i −0.00767167 0.0132877i
\(605\) 8620.28 3137.53i 0.579280 0.210841i
\(606\) 7461.02 4191.52i 0.500137 0.280972i
\(607\) −11779.8 + 9884.43i −0.787690 + 0.660950i −0.945172 0.326572i \(-0.894107\pi\)
0.157483 + 0.987522i \(0.449662\pi\)
\(608\) −3168.02 + 2658.29i −0.211316 + 0.177315i
\(609\) −16765.8 + 9418.85i −1.11557 + 0.626718i
\(610\) 1736.68 632.101i 0.115273 0.0419558i
\(611\) −10262.8 17775.7i −0.679524 1.17697i
\(612\) −6186.97 + 2088.59i −0.408649 + 0.137952i
\(613\) −4463.56 + 7731.11i −0.294097 + 0.509391i −0.974774 0.223192i \(-0.928352\pi\)
0.680677 + 0.732583i \(0.261686\pi\)
\(614\) −657.521 + 3728.99i −0.0432172 + 0.245097i
\(615\) 9696.38 1592.50i 0.635766 0.104416i
\(616\) −2410.12 877.211i −0.157640 0.0573764i
\(617\) −776.890 4405.96i −0.0506911 0.287484i 0.948916 0.315530i \(-0.102182\pi\)
−0.999607 + 0.0280467i \(0.991071\pi\)
\(618\) −2445.08 6971.59i −0.159151 0.453784i
\(619\) 16763.6 + 14066.3i 1.08851 + 0.913367i 0.996599 0.0824007i \(-0.0262587\pi\)
0.0919088 + 0.995767i \(0.470703\pi\)
\(620\) −1595.60 −0.103356
\(621\) −10477.0 + 25906.0i −0.677015 + 1.67403i
\(622\) 627.311 0.0404387
\(623\) 2796.12 + 2346.22i 0.179814 + 0.150882i
\(624\) 8199.87 9542.25i 0.526053 0.612173i
\(625\) −523.377 2968.22i −0.0334961 0.189966i
\(626\) −5249.94 1910.82i −0.335191 0.122000i
\(627\) −508.230 + 1346.90i −0.0323712 + 0.0857894i
\(628\) −2170.33 + 12308.6i −0.137907 + 0.782109i
\(629\) 6212.57 10760.5i 0.393818 0.682113i
\(630\) 3102.10 + 72.9078i 0.196175 + 0.00461066i
\(631\) −14486.4 25091.2i −0.913939 1.58299i −0.808448 0.588568i \(-0.799692\pi\)
−0.105491 0.994420i \(-0.533641\pi\)
\(632\) −15763.4 + 5737.43i −0.992146 + 0.361112i
\(633\) −2638.82 1565.15i −0.165693 0.0982763i
\(634\) 1290.62 1082.96i 0.0808473 0.0678389i
\(635\) −590.744 + 495.693i −0.0369181 + 0.0309779i
\(636\) 131.097 11157.4i 0.00817349 0.695630i
\(637\) 11750.7 4276.90i 0.730893 0.266023i
\(638\) 1922.69 + 3330.20i 0.119310 + 0.206652i
\(639\) −671.847 4414.43i −0.0415929 0.273290i
\(640\) −5665.41 + 9812.78i −0.349914 + 0.606069i
\(641\) 1409.67 7994.62i 0.0868619 0.492618i −0.910077 0.414438i \(-0.863978\pi\)
0.996939 0.0781800i \(-0.0249109\pi\)
\(642\) 6535.98 + 7977.79i 0.401799 + 0.490433i
\(643\) 8064.57 + 2935.26i 0.494612 + 0.180024i 0.577269 0.816554i \(-0.304118\pi\)
−0.0826569 + 0.996578i \(0.526341\pi\)
\(644\) 2992.26 + 16970.0i 0.183093 + 1.03837i
\(645\) −5999.66 1130.74i −0.366258 0.0690276i
\(646\) −759.887 637.621i −0.0462807 0.0388341i
\(647\) 17695.3 1.07523 0.537616 0.843190i \(-0.319325\pi\)
0.537616 + 0.843190i \(0.319325\pi\)
\(648\) −11777.8 + 3670.01i −0.714005 + 0.222487i
\(649\) 4755.89 0.287650
\(650\) 4175.33 + 3503.52i 0.251954 + 0.211415i
\(651\) −2063.49 388.900i −0.124231 0.0234135i
\(652\) −1679.86 9526.95i −0.100902 0.572246i
\(653\) −2354.57 856.993i −0.141105 0.0513579i 0.270502 0.962719i \(-0.412810\pi\)
−0.411607 + 0.911361i \(0.635032\pi\)
\(654\) −1192.60 1455.68i −0.0713065 0.0870364i
\(655\) −239.535 + 1358.47i −0.0142892 + 0.0810381i
\(656\) −4165.40 + 7214.69i −0.247914 + 0.429400i
\(657\) 20425.5 16336.8i 1.21290 0.970106i
\(658\) 2145.90 + 3716.81i 0.127137 + 0.220207i
\(659\) −22609.4 + 8229.15i −1.33648 + 0.486437i −0.908701 0.417448i \(-0.862924\pi\)
−0.427774 + 0.903886i \(0.640702\pi\)
\(660\) −36.5342 + 3109.35i −0.00215468 + 0.183381i
\(661\) −14240.1 + 11948.8i −0.837933 + 0.703109i −0.957098 0.289765i \(-0.906423\pi\)
0.119165 + 0.992875i \(0.461978\pi\)
\(662\) −3655.03 + 3066.93i −0.214587 + 0.180060i
\(663\) 11598.8 + 6879.53i 0.679428 + 0.402985i
\(664\) −9147.53 + 3329.43i −0.534628 + 0.194589i
\(665\) −1181.14 2045.79i −0.0688761 0.119297i
\(666\) 5551.66 9114.25i 0.323006 0.530285i
\(667\) 28413.1 49212.9i 1.64941 2.85687i
\(668\) 2167.29 12291.3i 0.125532 0.711925i
\(669\) 7875.51 20871.5i 0.455134 1.20618i
\(670\) −1652.47 601.451i −0.0952844 0.0346807i
\(671\) 423.241 + 2400.32i 0.0243503 + 0.138097i
\(672\) −7661.75 + 8916.05i −0.439819 + 0.511821i
\(673\) −6242.12 5237.76i −0.357528 0.300001i 0.446277 0.894895i \(-0.352750\pi\)
−0.803804 + 0.594894i \(0.797194\pi\)
\(674\) −1491.85 −0.0852580
\(675\) 2859.19 + 8809.92i 0.163038 + 0.502361i
\(676\) −19506.6 −1.10984
\(677\) −12973.4 10886.0i −0.736497 0.617994i 0.195397 0.980724i \(-0.437400\pi\)
−0.931894 + 0.362730i \(0.881845\pi\)
\(678\) −1057.06 3013.97i −0.0598763 0.170724i
\(679\) −1069.39 6064.81i −0.0604409 0.342777i
\(680\) −4428.66 1611.90i −0.249752 0.0909022i
\(681\) −22416.3 + 3681.59i −1.26137 + 0.207164i
\(682\) −72.9128 + 413.509i −0.00409380 + 0.0232171i
\(683\) 4393.17 7609.20i 0.246120 0.426293i −0.716326 0.697766i \(-0.754178\pi\)
0.962446 + 0.271473i \(0.0875108\pi\)
\(684\) 3205.49 + 2820.69i 0.179188 + 0.157678i
\(685\) −6939.61 12019.8i −0.387079 0.670440i
\(686\) −7280.22 + 2649.78i −0.405190 + 0.147477i
\(687\) −26753.7 + 15030.0i −1.48576 + 0.834686i
\(688\) 3965.13 3327.14i 0.219723 0.184369i
\(689\) −17652.4 + 14812.2i −0.976059 + 0.819010i
\(690\) −7994.16 + 4491.04i −0.441062 + 0.247784i
\(691\) 23714.3 8631.29i 1.30555 0.475181i 0.406749 0.913540i \(-0.366663\pi\)
0.898800 + 0.438359i \(0.144440\pi\)
\(692\) 2830.71 + 4902.94i 0.155502 + 0.269338i
\(693\) −805.099 + 4012.23i −0.0441316 + 0.219931i
\(694\) 5879.55 10183.7i 0.321592 0.557014i
\(695\) 1137.57 6451.48i 0.0620870 0.352113i
\(696\) 24754.9 4065.67i 1.34818 0.221421i
\(697\) −8390.96 3054.06i −0.455998 0.165970i
\(698\) 335.226 + 1901.16i 0.0181784 + 0.103095i
\(699\) 3757.74 + 10714.3i 0.203335 + 0.579762i
\(700\) 4375.29 + 3671.31i 0.236244 + 0.198232i
\(701\) −1195.09 −0.0643909 −0.0321955 0.999482i \(-0.510250\pi\)
−0.0321955 + 0.999482i \(0.510250\pi\)
\(702\) 9820.63 + 6141.27i 0.527999 + 0.330181i
\(703\) −8124.55 −0.435879
\(704\) −621.746 521.707i −0.0332854 0.0279298i
\(705\) 7459.25 8680.39i 0.398485 0.463720i
\(706\) 1334.47 + 7568.15i 0.0711379 + 0.403443i
\(707\) −17402.8 6334.11i −0.925743 0.336943i
\(708\) 4979.91 13197.6i 0.264345 0.700561i
\(709\) −4612.68 + 26159.8i −0.244334 + 1.38569i 0.577700 + 0.816249i \(0.303951\pi\)
−0.822034 + 0.569439i \(0.807161\pi\)
\(710\) 732.586 1268.88i 0.0387232 0.0670706i
\(711\) 12834.3 + 23487.4i 0.676966 + 1.23888i
\(712\) −2380.81 4123.68i −0.125315 0.217053i
\(713\) 5830.80 2122.24i 0.306263 0.111470i
\(714\) −2425.25 1438.47i −0.127119 0.0753970i
\(715\) 4919.38 4127.85i 0.257307 0.215906i
\(716\) −10953.6 + 9191.15i −0.571725 + 0.479734i
\(717\) −76.5764 + 6517.28i −0.00398856 + 0.339459i
\(718\) −5640.14 + 2052.84i −0.293159 + 0.106701i
\(719\) 381.663 + 661.059i 0.0197964 + 0.0342884i 0.875754 0.482758i \(-0.160365\pi\)
−0.855957 + 0.517046i \(0.827032\pi\)
\(720\) 6534.12 + 2553.64i 0.338211 + 0.132178i
\(721\) −7994.02 + 13846.1i −0.412917 + 0.715193i
\(722\) 1261.35 7153.49i 0.0650176 0.368733i
\(723\) 8093.80 + 9879.25i 0.416337 + 0.508179i
\(724\) 4113.55 + 1497.21i 0.211158 + 0.0768554i
\(725\) −3270.71 18549.1i −0.167546 0.950202i
\(726\) −7036.15 1326.08i −0.359692 0.0677901i
\(727\) 26579.4 + 22302.8i 1.35595 + 1.13778i 0.977210 + 0.212273i \(0.0680867\pi\)
0.378739 + 0.925503i \(0.376358\pi\)
\(728\) 15710.1 0.799800
\(729\) 8616.39 + 17696.8i 0.437758 + 0.899093i
\(730\) 8582.22 0.435126
\(731\) 4250.07 + 3566.24i 0.215041 + 0.180440i
\(732\) 7104.08 + 1338.89i 0.358708 + 0.0676047i
\(733\) −1176.42 6671.79i −0.0592796 0.336191i 0.940716 0.339195i \(-0.110155\pi\)
−0.999995 + 0.00300429i \(0.999044\pi\)
\(734\) 11891.2 + 4328.05i 0.597974 + 0.217645i
\(735\) 4418.88 + 5393.67i 0.221759 + 0.270678i
\(736\) 6032.29 34210.8i 0.302110 1.71335i
\(737\) 1159.58 2008.45i 0.0579561 0.100383i
\(738\) −7143.37 2791.74i −0.356302 0.139249i
\(739\) 14129.7 + 24473.3i 0.703340 + 1.21822i 0.967287 + 0.253683i \(0.0816421\pi\)
−0.263947 + 0.964537i \(0.585025\pi\)
\(740\) −16490.9 + 6002.20i −0.819213 + 0.298169i
\(741\) 103.601 8817.32i 0.00513616 0.437129i
\(742\) 3691.03 3097.14i 0.182617 0.153234i
\(743\) −8665.44 + 7271.17i −0.427866 + 0.359022i −0.831146 0.556055i \(-0.812315\pi\)
0.403280 + 0.915077i \(0.367870\pi\)
\(744\) 2356.02 + 1397.41i 0.116097 + 0.0688597i
\(745\) 16409.9 5972.72i 0.806997 0.293723i
\(746\) −481.231 833.516i −0.0236181 0.0409078i
\(747\) 7447.73 + 13629.7i 0.364790 + 0.667585i
\(748\) 1412.88 2447.19i 0.0690644 0.119623i
\(749\) 3875.61 21979.7i 0.189068 1.07226i
\(750\) −3104.46 + 8227.35i −0.151145 + 0.400560i
\(751\) −2748.90 1000.52i −0.133567 0.0486144i 0.274372 0.961624i \(-0.411530\pi\)
−0.407939 + 0.913009i \(0.633752\pi\)
\(752\) 1684.95 + 9555.81i 0.0817070 + 0.463384i
\(753\) −267.443 + 311.226i −0.0129431 + 0.0150620i
\(754\) −18043.4 15140.2i −0.871490 0.731267i
\(755\) −262.273 −0.0126425
\(756\) 10290.9 + 6435.37i 0.495076 + 0.309593i
\(757\) 6486.15 0.311417 0.155709 0.987803i \(-0.450234\pi\)
0.155709 + 0.987803i \(0.450234\pi\)
\(758\) −9225.62 7741.21i −0.442071 0.370941i
\(759\) −4002.11 11411.1i −0.191393 0.545714i
\(760\) 535.124 + 3034.84i 0.0255408 + 0.144849i
\(761\) 1025.17 +