Properties

Label 27.4.e.a.4.4
Level 27
Weight 4
Character 27.4
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 4.4
Character \(\chi\) = 27.4
Dual form 27.4.e.a.7.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.982993 - 0.357780i) q^{2} +(-5.19600 - 0.0395600i) q^{3} +(-5.29009 - 4.43891i) q^{4} +(2.68017 - 15.2000i) q^{5} +(5.09348 + 1.89791i) q^{6} +(-18.0349 + 15.1331i) q^{7} +(7.79628 + 13.5036i) q^{8} +(26.9969 + 0.411107i) q^{9} +O(q^{10})\) \(q+(-0.982993 - 0.357780i) q^{2} +(-5.19600 - 0.0395600i) q^{3} +(-5.29009 - 4.43891i) q^{4} +(2.68017 - 15.2000i) q^{5} +(5.09348 + 1.89791i) q^{6} +(-18.0349 + 15.1331i) q^{7} +(7.79628 + 13.5036i) q^{8} +(26.9969 + 0.411107i) q^{9} +(-8.07284 + 13.9826i) q^{10} +(-7.09896 - 40.2602i) q^{11} +(27.3117 + 23.2739i) q^{12} +(11.9280 - 4.34143i) q^{13} +(23.1425 - 8.42319i) q^{14} +(-14.5275 + 78.8731i) q^{15} +(6.76093 + 38.3432i) q^{16} +(23.8240 - 41.2643i) q^{17} +(-26.3907 - 10.0631i) q^{18} +(-67.6602 - 117.191i) q^{19} +(-81.6496 + 68.5122i) q^{20} +(94.3081 - 77.9181i) q^{21} +(-7.42608 + 42.1154i) q^{22} +(36.2326 + 30.4028i) q^{23} +(-39.9753 - 70.4729i) q^{24} +(-106.394 - 38.7244i) q^{25} -13.2784 q^{26} +(-140.260 - 3.20411i) q^{27} +162.581 q^{28} +(-118.886 - 43.2708i) q^{29} +(42.4996 - 72.3341i) q^{30} +(158.028 + 132.602i) q^{31} +(28.7334 - 162.955i) q^{32} +(35.2935 + 209.473i) q^{33} +(-38.1824 + 32.0388i) q^{34} +(181.686 + 314.689i) q^{35} +(-140.991 - 122.011i) q^{36} +(93.6104 - 162.138i) q^{37} +(24.5809 + 139.405i) q^{38} +(-62.1496 + 22.0862i) q^{39} +(226.149 - 82.3116i) q^{40} +(-41.7814 + 15.2072i) q^{41} +(-120.582 + 42.8514i) q^{42} +(41.2948 + 234.195i) q^{43} +(-141.157 + 244.492i) q^{44} +(78.6049 - 409.250i) q^{45} +(-24.7389 - 42.8490i) q^{46} +(83.8400 - 70.3501i) q^{47} +(-33.6130 - 199.499i) q^{48} +(36.6864 - 208.059i) q^{49} +(90.7302 + 76.1317i) q^{50} +(-125.422 + 213.467i) q^{51} +(-82.3713 - 29.9807i) q^{52} +11.6792 q^{53} +(136.728 + 53.3317i) q^{54} -630.981 q^{55} +(-344.956 - 125.554i) q^{56} +(346.927 + 611.601i) q^{57} +(101.382 + 85.0698i) q^{58} +(126.168 - 715.536i) q^{59} +(426.962 - 352.759i) q^{60} +(-45.5286 + 38.2030i) q^{61} +(-107.899 - 186.886i) q^{62} +(-493.108 + 401.132i) q^{63} +(69.1916 - 119.843i) q^{64} +(-34.0207 - 192.941i) q^{65} +(40.2520 - 218.538i) q^{66} +(-290.347 + 105.678i) q^{67} +(-309.199 + 112.539i) q^{68} +(-187.062 - 159.406i) q^{69} +(-66.0065 - 374.341i) q^{70} +(130.821 - 226.589i) q^{71} +(204.924 + 367.759i) q^{72} +(186.795 + 323.539i) q^{73} +(-150.028 + 125.889i) q^{74} +(551.294 + 205.421i) q^{75} +(-162.272 + 920.288i) q^{76} +(737.290 + 618.660i) q^{77} +(68.9947 + 0.525293i) q^{78} +(-128.935 - 46.9287i) q^{79} +600.936 q^{80} +(728.662 + 22.1972i) q^{81} +46.5117 q^{82} +(1033.80 + 376.273i) q^{83} +(-844.769 - 6.43168i) q^{84} +(-563.365 - 472.719i) q^{85} +(43.1977 - 244.986i) q^{86} +(616.018 + 229.538i) q^{87} +(488.311 - 409.741i) q^{88} +(-716.067 - 1240.26i) q^{89} +(-223.690 + 374.167i) q^{90} +(-149.421 + 258.805i) q^{91} +(-56.7185 - 321.667i) q^{92} +(-815.870 - 695.250i) q^{93} +(-107.584 + 39.1574i) q^{94} +(-1962.64 + 714.343i) q^{95} +(-155.746 + 845.580i) q^{96} +(137.698 + 780.924i) q^{97} +(-110.502 + 191.395i) q^{98} +(-175.098 - 1089.82i) 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.982993 0.357780i −0.347541 0.126494i 0.162351 0.986733i \(-0.448092\pi\)
−0.509892 + 0.860239i \(0.670315\pi\)
\(3\) −5.19600 0.0395600i −0.999971 0.00761332i
\(4\) −5.29009 4.43891i −0.661261 0.554864i
\(5\) 2.68017 15.2000i 0.239721 1.35953i −0.592717 0.805410i \(-0.701945\pi\)
0.832439 0.554117i \(-0.186944\pi\)
\(6\) 5.09348 + 1.89791i 0.346568 + 0.129137i
\(7\) −18.0349 + 15.1331i −0.973794 + 0.817110i −0.983142 0.182846i \(-0.941469\pi\)
0.00934778 + 0.999956i \(0.497024\pi\)
\(8\) 7.79628 + 13.5036i 0.344550 + 0.596779i
\(9\) 26.9969 + 0.411107i 0.999884 + 0.0152262i
\(10\) −8.07284 + 13.9826i −0.255286 + 0.442168i
\(11\) −7.09896 40.2602i −0.194583 1.10354i −0.913011 0.407935i \(-0.866249\pi\)
0.718427 0.695602i \(-0.244862\pi\)
\(12\) 27.3117 + 23.2739i 0.657017 + 0.559882i
\(13\) 11.9280 4.34143i 0.254479 0.0926228i −0.211631 0.977350i \(-0.567877\pi\)
0.466110 + 0.884727i \(0.345655\pi\)
\(14\) 23.1425 8.42319i 0.441793 0.160799i
\(15\) −14.5275 + 78.8731i −0.250065 + 1.35766i
\(16\) 6.76093 + 38.3432i 0.105640 + 0.599112i
\(17\) 23.8240 41.2643i 0.339892 0.588710i −0.644520 0.764587i \(-0.722943\pi\)
0.984412 + 0.175877i \(0.0562762\pi\)
\(18\) −26.3907 10.0631i −0.345574 0.131771i
\(19\) −67.6602 117.191i −0.816964 1.41502i −0.907909 0.419168i \(-0.862322\pi\)
0.0909443 0.995856i \(-0.471011\pi\)
\(20\) −81.6496 + 68.5122i −0.912871 + 0.765989i
\(21\) 94.3081 77.9181i 0.979986 0.809672i
\(22\) −7.42608 + 42.1154i −0.0719657 + 0.408138i
\(23\) 36.2326 + 30.4028i 0.328479 + 0.275627i 0.792080 0.610418i \(-0.208998\pi\)
−0.463601 + 0.886044i \(0.653443\pi\)
\(24\) −39.9753 70.4729i −0.339997 0.599385i
\(25\) −106.394 38.7244i −0.851156 0.309795i
\(26\) −13.2784 −0.100158
\(27\) −140.260 3.20411i −0.999739 0.0228382i
\(28\) 162.581 1.09732
\(29\) −118.886 43.2708i −0.761258 0.277075i −0.0679230 0.997691i \(-0.521637\pi\)
−0.693335 + 0.720615i \(0.743859\pi\)
\(30\) 42.4996 72.3341i 0.258645 0.440211i
\(31\) 158.028 + 132.602i 0.915572 + 0.768256i 0.973171 0.230083i \(-0.0738999\pi\)
−0.0575985 + 0.998340i \(0.518344\pi\)
\(32\) 28.7334 162.955i 0.158731 0.900210i
\(33\) 35.2935 + 209.473i 0.186176 + 1.10499i
\(34\) −38.1824 + 32.0388i −0.192595 + 0.161606i
\(35\) 181.686 + 314.689i 0.877444 + 1.51978i
\(36\) −140.991 122.011i −0.652736 0.564868i
\(37\) 93.6104 162.138i 0.415931 0.720414i −0.579594 0.814905i \(-0.696789\pi\)
0.995526 + 0.0944909i \(0.0301223\pi\)
\(38\) 24.5809 + 139.405i 0.104936 + 0.595120i
\(39\) −62.1496 + 22.0862i −0.255177 + 0.0906827i
\(40\) 226.149 82.3116i 0.893933 0.325365i
\(41\) −41.7814 + 15.2072i −0.159150 + 0.0579260i −0.420367 0.907354i \(-0.638099\pi\)
0.261216 + 0.965280i \(0.415876\pi\)
\(42\) −120.582 + 42.8514i −0.443004 + 0.157431i
\(43\) 41.2948 + 234.195i 0.146451 + 0.830566i 0.966191 + 0.257829i \(0.0830072\pi\)
−0.819739 + 0.572737i \(0.805882\pi\)
\(44\) −141.157 + 244.492i −0.483642 + 0.837693i
\(45\) 78.6049 409.250i 0.260394 1.35572i
\(46\) −24.7389 42.8490i −0.0792946 0.137342i
\(47\) 83.8400 70.3501i 0.260198 0.218332i −0.503351 0.864082i \(-0.667900\pi\)
0.763549 + 0.645750i \(0.223455\pi\)
\(48\) −33.6130 199.499i −0.101075 0.599899i
\(49\) 36.6864 208.059i 0.106957 0.606585i
\(50\) 90.7302 + 76.1317i 0.256624 + 0.215333i
\(51\) −125.422 + 213.467i −0.344364 + 0.586105i
\(52\) −82.3713 29.9807i −0.219670 0.0799534i
\(53\) 11.6792 0.0302692 0.0151346 0.999885i \(-0.495182\pi\)
0.0151346 + 0.999885i \(0.495182\pi\)
\(54\) 136.728 + 53.3317i 0.344561 + 0.134399i
\(55\) −630.981 −1.54693
\(56\) −344.956 125.554i −0.823155 0.299604i
\(57\) 346.927 + 611.601i 0.806168 + 1.42120i
\(58\) 101.382 + 85.0698i 0.229520 + 0.192590i
\(59\) 126.168 715.536i 0.278402 1.57890i −0.449542 0.893259i \(-0.648413\pi\)
0.727944 0.685636i \(-0.240476\pi\)
\(60\) 426.962 352.759i 0.918676 0.759017i
\(61\) −45.5286 + 38.2030i −0.0955629 + 0.0801868i −0.689317 0.724459i \(-0.742089\pi\)
0.593755 + 0.804646i \(0.297645\pi\)
\(62\) −107.899 186.886i −0.221018 0.382815i
\(63\) −493.108 + 401.132i −0.986122 + 0.802188i
\(64\) 69.1916 119.843i 0.135140 0.234069i
\(65\) −34.0207 192.941i −0.0649192 0.368175i
\(66\) 40.2520 218.538i 0.0750709 0.407578i
\(67\) −290.347 + 105.678i −0.529426 + 0.192695i −0.592882 0.805289i \(-0.702010\pi\)
0.0634560 + 0.997985i \(0.479788\pi\)
\(68\) −309.199 + 112.539i −0.551411 + 0.200697i
\(69\) −187.062 159.406i −0.326371 0.278120i
\(70\) −66.0065 374.341i −0.112704 0.639176i
\(71\) 130.821 226.589i 0.218671 0.378749i −0.735731 0.677274i \(-0.763161\pi\)
0.954402 + 0.298525i \(0.0964946\pi\)
\(72\) 204.924 + 367.759i 0.335424 + 0.601956i
\(73\) 186.795 + 323.539i 0.299490 + 0.518731i 0.976019 0.217684i \(-0.0698502\pi\)
−0.676530 + 0.736415i \(0.736517\pi\)
\(74\) −150.028 + 125.889i −0.235681 + 0.197760i
\(75\) 551.294 + 205.421i 0.848772 + 0.316266i
\(76\) −162.272 + 920.288i −0.244919 + 1.38900i
\(77\) 737.290 + 618.660i 1.09120 + 0.915622i
\(78\) 68.9947 + 0.525293i 0.100155 + 0.000762535i
\(79\) −128.935 46.9287i −0.183625 0.0668340i 0.248571 0.968614i \(-0.420039\pi\)
−0.432196 + 0.901780i \(0.642261\pi\)
\(80\) 600.936 0.839833
\(81\) 728.662 + 22.1972i 0.999536 + 0.0304489i
\(82\) 46.5117 0.0626385
\(83\) 1033.80 + 376.273i 1.36716 + 0.497606i 0.918261 0.395975i \(-0.129593\pi\)
0.448901 + 0.893581i \(0.351816\pi\)
\(84\) −844.769 6.43168i −1.09728 0.00835422i
\(85\) −563.365 472.719i −0.718888 0.603219i
\(86\) 43.1977 244.986i 0.0541642 0.307181i
\(87\) 616.018 + 229.538i 0.759127 + 0.282863i
\(88\) 488.311 409.741i 0.591524 0.496347i
\(89\) −716.067 1240.26i −0.852842 1.47717i −0.878632 0.477499i \(-0.841543\pi\)
0.0257897 0.999667i \(-0.491790\pi\)
\(90\) −223.690 + 374.167i −0.261989 + 0.438229i
\(91\) −149.421 + 258.805i −0.172127 + 0.298133i
\(92\) −56.7185 321.667i −0.0642751 0.364522i
\(93\) −815.870 695.250i −0.909697 0.775205i
\(94\) −107.584 + 39.1574i −0.118047 + 0.0429657i
\(95\) −1962.64 + 714.343i −2.11961 + 0.771474i
\(96\) −155.746 + 845.580i −0.165580 + 0.898976i
\(97\) 137.698 + 780.924i 0.144135 + 0.817431i 0.968057 + 0.250728i \(0.0806701\pi\)
−0.823922 + 0.566703i \(0.808219\pi\)
\(98\) −110.502 + 191.395i −0.113902 + 0.197284i
\(99\) −175.098 1089.82i −0.177758 1.10637i
\(100\) 390.942 + 677.131i 0.390942 + 0.677131i
\(101\) 647.510 543.325i 0.637917 0.535276i −0.265461 0.964122i \(-0.585524\pi\)
0.903378 + 0.428846i \(0.141080\pi\)
\(102\) 199.663 164.963i 0.193820 0.160135i
\(103\) 293.566 1664.89i 0.280834 1.59269i −0.438964 0.898505i \(-0.644654\pi\)
0.719798 0.694184i \(-0.244234\pi\)
\(104\) 151.619 + 127.223i 0.142956 + 0.119955i
\(105\) −931.592 1642.31i −0.865848 1.52641i
\(106\) −11.4806 4.17860i −0.0105198 0.00382889i
\(107\) −1055.10 −0.953275 −0.476638 0.879100i \(-0.658145\pi\)
−0.476638 + 0.879100i \(0.658145\pi\)
\(108\) 727.762 + 639.549i 0.648416 + 0.569821i
\(109\) 1352.76 1.18873 0.594363 0.804197i \(-0.297404\pi\)
0.594363 + 0.804197i \(0.297404\pi\)
\(110\) 620.250 + 225.752i 0.537623 + 0.195679i
\(111\) −492.814 + 838.766i −0.421404 + 0.717227i
\(112\) −702.183 589.202i −0.592412 0.497092i
\(113\) −185.962 + 1054.64i −0.154813 + 0.877986i 0.804144 + 0.594434i \(0.202624\pi\)
−0.958957 + 0.283552i \(0.908487\pi\)
\(114\) −122.208 725.323i −0.100402 0.595901i
\(115\) 559.231 469.250i 0.453466 0.380503i
\(116\) 436.840 + 756.628i 0.349651 + 0.605614i
\(117\) 323.803 112.301i 0.255860 0.0887374i
\(118\) −380.027 + 658.226i −0.296477 + 0.513514i
\(119\) 194.793 + 1104.73i 0.150056 + 0.851011i
\(120\) −1178.33 + 418.745i −0.896384 + 0.318550i
\(121\) −319.758 + 116.382i −0.240239 + 0.0874399i
\(122\) 58.4226 21.2641i 0.0433552 0.0157800i
\(123\) 217.698 77.3638i 0.159587 0.0567126i
\(124\) −247.378 1402.95i −0.179155 1.01604i
\(125\) 90.8887 157.424i 0.0650347 0.112643i
\(126\) 628.238 217.886i 0.444190 0.154054i
\(127\) −390.223 675.886i −0.272651 0.472245i 0.696889 0.717179i \(-0.254567\pi\)
−0.969540 + 0.244934i \(0.921234\pi\)
\(128\) −1124.95 + 943.943i −0.776814 + 0.651825i
\(129\) −205.303 1218.51i −0.140124 0.831657i
\(130\) −35.5884 + 201.832i −0.0240100 + 0.136168i
\(131\) 1968.87 + 1652.07i 1.31313 + 1.10185i 0.987712 + 0.156282i \(0.0499509\pi\)
0.325422 + 0.945569i \(0.394494\pi\)
\(132\) 743.126 1264.79i 0.490006 0.833987i
\(133\) 2993.71 + 1089.62i 1.95178 + 0.710392i
\(134\) 323.219 0.208372
\(135\) −424.621 + 2123.35i −0.270708 + 1.35370i
\(136\) 742.954 0.468439
\(137\) −1381.39 502.786i −0.861463 0.313547i −0.126758 0.991934i \(-0.540457\pi\)
−0.734705 + 0.678387i \(0.762679\pi\)
\(138\) 126.848 + 223.622i 0.0782467 + 0.137942i
\(139\) 1104.10 + 926.448i 0.673729 + 0.565326i 0.914166 0.405339i \(-0.132846\pi\)
−0.240438 + 0.970665i \(0.577291\pi\)
\(140\) 435.743 2471.22i 0.263050 1.49183i
\(141\) −438.416 + 362.223i −0.261853 + 0.216345i
\(142\) −209.666 + 175.930i −0.123907 + 0.103970i
\(143\) −259.463 449.404i −0.151730 0.262804i
\(144\) 166.761 + 1037.92i 0.0965052 + 0.600651i
\(145\) −976.348 + 1691.08i −0.559181 + 0.968530i
\(146\) −67.8627 384.869i −0.0384682 0.218164i
\(147\) −198.853 + 1079.62i −0.111572 + 0.605753i
\(148\) −1214.92 + 442.196i −0.674771 + 0.245596i
\(149\) −2536.57 + 923.237i −1.39466 + 0.507614i −0.926588 0.376077i \(-0.877273\pi\)
−0.468070 + 0.883691i \(0.655051\pi\)
\(150\) −468.423 399.170i −0.254977 0.217280i
\(151\) −178.841 1014.26i −0.0963835 0.546618i −0.994315 0.106482i \(-0.966041\pi\)
0.897931 0.440136i \(-0.145070\pi\)
\(152\) 1055.00 1827.31i 0.562971 0.975094i
\(153\) 660.137 1104.21i 0.348816 0.583466i
\(154\) −503.407 871.927i −0.263414 0.456246i
\(155\) 2439.08 2046.63i 1.26395 1.06058i
\(156\) 426.816 + 159.038i 0.219055 + 0.0816235i
\(157\) −170.059 + 964.451i −0.0864469 + 0.490265i 0.910588 + 0.413315i \(0.135629\pi\)
−0.997035 + 0.0769498i \(0.975482\pi\)
\(158\) 109.953 + 92.2612i 0.0553630 + 0.0464551i
\(159\) −60.6854 0.462030i −0.0302683 0.000230449i
\(160\) −2399.91 873.495i −1.18581 0.431599i
\(161\) −1113.54 −0.545088
\(162\) −708.328 282.521i −0.343528 0.137018i
\(163\) −2890.61 −1.38902 −0.694509 0.719484i \(-0.744379\pi\)
−0.694509 + 0.719484i \(0.744379\pi\)
\(164\) 288.531 + 105.017i 0.137381 + 0.0500026i
\(165\) 3278.58 + 24.9616i 1.54689 + 0.0117773i
\(166\) −881.597 739.748i −0.412200 0.345877i
\(167\) 198.680 1126.77i 0.0920620 0.522110i −0.903546 0.428491i \(-0.859045\pi\)
0.995608 0.0936188i \(-0.0298435\pi\)
\(168\) 1787.42 + 666.023i 0.820850 + 0.305862i
\(169\) −1559.57 + 1308.64i −0.709864 + 0.595646i
\(170\) 384.654 + 666.240i 0.173539 + 0.300578i
\(171\) −1778.44 3191.61i −0.795324 1.42730i
\(172\) 821.115 1422.21i 0.364008 0.630481i
\(173\) 126.482 + 717.312i 0.0555850 + 0.315238i 0.999905 0.0137904i \(-0.00438977\pi\)
−0.944320 + 0.329029i \(0.893279\pi\)
\(174\) −523.417 446.034i −0.228047 0.194332i
\(175\) 2504.83 911.685i 1.08199 0.393811i
\(176\) 1495.71 544.393i 0.640587 0.233154i
\(177\) −683.877 + 3712.93i −0.290414 + 1.57673i
\(178\) 260.147 + 1475.37i 0.109544 + 0.621255i
\(179\) −525.620 + 910.400i −0.219479 + 0.380148i −0.954649 0.297735i \(-0.903769\pi\)
0.735170 + 0.677883i \(0.237102\pi\)
\(180\) −2232.45 + 1816.05i −0.924428 + 0.752001i
\(181\) 521.671 + 903.561i 0.214229 + 0.371056i 0.953034 0.302864i \(-0.0979427\pi\)
−0.738805 + 0.673920i \(0.764609\pi\)
\(182\) 239.475 200.943i 0.0975334 0.0818402i
\(183\) 238.078 196.702i 0.0961706 0.0794569i
\(184\) −128.066 + 726.298i −0.0513106 + 0.290997i
\(185\) −2213.60 1857.43i −0.879715 0.738169i
\(186\) 553.248 + 975.328i 0.218098 + 0.384487i
\(187\) −1830.44 666.224i −0.715801 0.260530i
\(188\) −755.798 −0.293204
\(189\) 2578.06 2064.77i 0.992201 0.794657i
\(190\) 2184.84 0.834237
\(191\) 342.587 + 124.692i 0.129784 + 0.0472375i 0.406096 0.913831i \(-0.366890\pi\)
−0.276312 + 0.961068i \(0.589112\pi\)
\(192\) −364.261 + 619.970i −0.136918 + 0.233034i
\(193\) 627.855 + 526.833i 0.234166 + 0.196489i 0.752318 0.658800i \(-0.228936\pi\)
−0.518152 + 0.855288i \(0.673380\pi\)
\(194\) 144.043 816.909i 0.0533077 0.302323i
\(195\) 169.139 + 1003.87i 0.0621143 + 0.368659i
\(196\) −1117.63 + 937.801i −0.407299 + 0.341764i
\(197\) 1084.39 + 1878.22i 0.392180 + 0.679276i 0.992737 0.120306i \(-0.0383876\pi\)
−0.600557 + 0.799582i \(0.705054\pi\)
\(198\) −217.795 + 1133.93i −0.0781717 + 0.406995i
\(199\) 2026.30 3509.66i 0.721813 1.25022i −0.238459 0.971153i \(-0.576642\pi\)
0.960272 0.279065i \(-0.0900244\pi\)
\(200\) −306.564 1738.61i −0.108387 0.614692i
\(201\) 1512.82 537.615i 0.530878 0.188659i
\(202\) −830.889 + 302.419i −0.289412 + 0.105337i
\(203\) 2798.91 1018.72i 0.967709 0.352217i
\(204\) 1611.05 572.523i 0.552923 0.196493i
\(205\) 119.168 + 675.835i 0.0406002 + 0.230255i
\(206\) −884.239 + 1531.55i −0.299067 + 0.518000i
\(207\) 965.668 + 835.675i 0.324244 + 0.280596i
\(208\) 247.109 + 428.005i 0.0823745 + 0.142677i
\(209\) −4237.82 + 3555.95i −1.40256 + 1.17689i
\(210\) 328.161 + 1947.69i 0.107835 + 0.640016i
\(211\) −9.81661 + 55.6728i −0.00320286 + 0.0181643i −0.986367 0.164559i \(-0.947380\pi\)
0.983164 + 0.182723i \(0.0584911\pi\)
\(212\) −61.7842 51.8431i −0.0200158 0.0167953i
\(213\) −688.711 + 1172.18i −0.221548 + 0.377073i
\(214\) 1037.16 + 377.494i 0.331302 + 0.120584i
\(215\) 3670.43 1.16428
\(216\) −1050.24 1918.98i −0.330831 0.604492i
\(217\) −4856.70 −1.51933
\(218\) −1329.76 483.992i −0.413131 0.150367i
\(219\) −957.790 1688.50i −0.295532 0.520997i
\(220\) 3337.94 + 2800.87i 1.02293 + 0.858338i
\(221\) 105.026 595.631i 0.0319674 0.181296i
\(222\) 784.527 648.182i 0.237180 0.195960i
\(223\) 282.857 237.345i 0.0849395 0.0712727i −0.599329 0.800503i \(-0.704566\pi\)
0.684269 + 0.729230i \(0.260122\pi\)
\(224\) 1947.81 + 3373.71i 0.580999 + 1.00632i
\(225\) −2856.40 1089.18i −0.846340 0.322719i
\(226\) 560.130 970.173i 0.164864 0.285553i
\(227\) −373.816 2120.01i −0.109300 0.619869i −0.989416 0.145110i \(-0.953646\pi\)
0.880116 0.474759i \(-0.157465\pi\)
\(228\) 879.570 4775.40i 0.255487 1.38710i
\(229\) 3772.34 1373.02i 1.08857 0.396208i 0.265480 0.964116i \(-0.414470\pi\)
0.823092 + 0.567909i \(0.192247\pi\)
\(230\) −717.609 + 261.188i −0.205729 + 0.0748793i
\(231\) −3806.49 3243.73i −1.08419 0.923903i
\(232\) −342.556 1942.73i −0.0969391 0.549769i
\(233\) −881.056 + 1526.03i −0.247725 + 0.429072i −0.962894 0.269879i \(-0.913016\pi\)
0.715169 + 0.698951i \(0.246350\pi\)
\(234\) −358.476 5.45885i −0.100147 0.00152503i
\(235\) −844.615 1462.92i −0.234454 0.406086i
\(236\) −3843.64 + 3225.20i −1.06017 + 0.889587i
\(237\) 668.093 + 248.942i 0.183111 + 0.0682301i
\(238\) 203.770 1155.63i 0.0554975 0.314742i
\(239\) 2444.98 + 2051.58i 0.661726 + 0.555254i 0.910604 0.413281i \(-0.135617\pi\)
−0.248878 + 0.968535i \(0.580062\pi\)
\(240\) −3122.46 23.7730i −0.839809 0.00639392i
\(241\) 2116.26 + 770.257i 0.565646 + 0.205878i 0.608984 0.793182i \(-0.291577\pi\)
−0.0433387 + 0.999060i \(0.513799\pi\)
\(242\) 355.960 0.0945535
\(243\) −3785.25 144.163i −0.999276 0.0380578i
\(244\) 410.430 0.107685
\(245\) −3064.16 1115.26i −0.799029 0.290823i
\(246\) −241.675 1.84000i −0.0626367 0.000476887i
\(247\) −1315.83 1104.11i −0.338964 0.284425i
\(248\) −558.559 + 3167.75i −0.143018 + 0.811097i
\(249\) −5356.75 1996.01i −1.36333 0.508001i
\(250\) −145.666 + 122.228i −0.0368509 + 0.0309216i
\(251\) −2815.86 4877.20i −0.708108 1.22648i −0.965558 0.260188i \(-0.916215\pi\)
0.257449 0.966292i \(-0.417118\pi\)
\(252\) 4389.17 + 66.8381i 1.09719 + 0.0167079i
\(253\) 966.808 1674.56i 0.240248 0.416121i
\(254\) 141.768 + 804.005i 0.0350209 + 0.198613i
\(255\) 2908.54 + 2478.54i 0.714275 + 0.608674i
\(256\) 403.238 146.767i 0.0984467 0.0358317i
\(257\) 6307.99 2295.92i 1.53106 0.557259i 0.567176 0.823596i \(-0.308036\pi\)
0.963880 + 0.266338i \(0.0858136\pi\)
\(258\) −234.147 + 1271.24i −0.0565013 + 0.306759i
\(259\) 765.393 + 4340.76i 0.183626 + 1.04140i
\(260\) −676.475 + 1171.69i −0.161358 + 0.279481i
\(261\) −3191.75 1217.05i −0.756951 0.288634i
\(262\) −1344.30 2328.40i −0.316990 0.549042i
\(263\) 4224.56 3544.82i 0.990484 0.831115i 0.00484607 0.999988i \(-0.498457\pi\)
0.985638 + 0.168874i \(0.0540130\pi\)
\(264\) −2553.47 + 2109.70i −0.595285 + 0.491829i
\(265\) 31.3023 177.524i 0.00725617 0.0411518i
\(266\) −2552.95 2142.18i −0.588464 0.493780i
\(267\) 3671.62 + 6472.75i 0.841572 + 1.48362i
\(268\) 2005.06 + 729.780i 0.457008 + 0.166337i
\(269\) 813.037 0.184282 0.0921408 0.995746i \(-0.470629\pi\)
0.0921408 + 0.995746i \(0.470629\pi\)
\(270\) 1177.09 1935.32i 0.265317 0.436222i
\(271\) 5803.74 1.30093 0.650465 0.759536i \(-0.274574\pi\)
0.650465 + 0.759536i \(0.274574\pi\)
\(272\) 1743.28 + 634.501i 0.388609 + 0.141442i
\(273\) 786.630 1338.84i 0.174392 0.296814i
\(274\) 1178.01 + 988.471i 0.259731 + 0.217941i
\(275\) −803.763 + 4558.37i −0.176250 + 0.999563i
\(276\) 281.984 + 1673.62i 0.0614980 + 0.365001i
\(277\) −2413.49 + 2025.16i −0.523511 + 0.439278i −0.865854 0.500297i \(-0.833224\pi\)
0.342343 + 0.939575i \(0.388780\pi\)
\(278\) −753.856 1305.72i −0.162638 0.281697i
\(279\) 4211.76 + 3644.79i 0.903769 + 0.782108i
\(280\) −2832.95 + 4906.82i −0.604647 + 1.04728i
\(281\) 1128.17 + 6398.19i 0.239506 + 1.35831i 0.832913 + 0.553404i \(0.186671\pi\)
−0.593407 + 0.804903i \(0.702217\pi\)
\(282\) 560.556 199.206i 0.118371 0.0420657i
\(283\) −5039.70 + 1834.30i −1.05858 + 0.385293i −0.811896 0.583802i \(-0.801564\pi\)
−0.246688 + 0.969095i \(0.579342\pi\)
\(284\) −1697.86 + 617.972i −0.354752 + 0.129119i
\(285\) 10226.1 3634.08i 2.12542 0.755314i
\(286\) 94.2629 + 534.592i 0.0194891 + 0.110528i
\(287\) 523.393 906.543i 0.107648 0.186451i
\(288\) 842.705 4387.47i 0.172420 0.897689i
\(289\) 1321.34 + 2288.62i 0.268947 + 0.465830i
\(290\) 1564.78 1313.01i 0.316852 0.265870i
\(291\) −684.586 4063.13i −0.137908 0.818505i
\(292\) 447.997 2540.72i 0.0897844 0.509193i
\(293\) −6595.63 5534.39i −1.31509 1.10349i −0.987322 0.158731i \(-0.949260\pi\)
−0.327766 0.944759i \(-0.606296\pi\)
\(294\) 581.739 990.116i 0.115400 0.196411i
\(295\) −10538.0 3835.51i −2.07981 0.756990i
\(296\) 2919.25 0.573237
\(297\) 866.699 + 5669.62i 0.169330 + 1.10769i
\(298\) 2823.75 0.548911
\(299\) 564.174 + 205.342i 0.109120 + 0.0397166i
\(300\) −2004.55 3533.84i −0.385775 0.680088i
\(301\) −4288.84 3598.76i −0.821277 0.689133i
\(302\) −187.082 + 1061.00i −0.0356469 + 0.202164i
\(303\) −3385.96 + 2797.50i −0.641974 + 0.530404i
\(304\) 4036.03 3386.63i 0.761454 0.638936i
\(305\) 458.661 + 794.424i 0.0861077 + 0.149143i
\(306\) −1043.98 + 849.251i −0.195033 + 0.158655i
\(307\) −1613.24 + 2794.22i −0.299911 + 0.519461i −0.976115 0.217253i \(-0.930290\pi\)
0.676204 + 0.736714i \(0.263624\pi\)
\(308\) −1154.15 6545.53i −0.213520 1.21093i
\(309\) −1591.23 + 8639.18i −0.292951 + 1.59050i
\(310\) −3129.85 + 1139.17i −0.573431 + 0.208712i
\(311\) 336.079 122.323i 0.0612775 0.0223032i −0.311200 0.950345i \(-0.600731\pi\)
0.372477 + 0.928041i \(0.378509\pi\)
\(312\) −782.779 667.050i −0.142039 0.121039i
\(313\) −1107.26 6279.59i −0.199955 1.13400i −0.905183 0.425023i \(-0.860266\pi\)
0.705227 0.708981i \(-0.250845\pi\)
\(314\) 512.228 887.206i 0.0920596 0.159452i
\(315\) 4775.58 + 8570.32i 0.854202 + 1.53296i
\(316\) 473.768 + 820.590i 0.0843402 + 0.146082i
\(317\) 6742.70 5657.79i 1.19466 1.00244i 0.194895 0.980824i \(-0.437563\pi\)
0.999766 0.0216156i \(-0.00688099\pi\)
\(318\) 59.4880 + 22.1662i 0.0104903 + 0.00390887i
\(319\) −898.127 + 5093.53i −0.157635 + 0.893991i
\(320\) −1636.17 1372.91i −0.285828 0.239838i
\(321\) 5482.31 + 41.7397i 0.953248 + 0.00725759i
\(322\) 1094.60 + 398.403i 0.189440 + 0.0689506i
\(323\) −6447.74 −1.11072
\(324\) −3756.15 3351.89i −0.644059 0.574741i
\(325\) −1437.19 −0.245296
\(326\) 2841.45 + 1034.20i 0.482740 + 0.175703i
\(327\) −7028.96 53.5152i −1.18869 0.00905015i
\(328\) −531.091 445.638i −0.0894043 0.0750191i
\(329\) −447.432 + 2537.52i −0.0749780 + 0.425221i
\(330\) −3213.89 1197.55i −0.536117 0.199766i
\(331\) 4268.76 3581.91i 0.708858 0.594803i −0.215420 0.976521i \(-0.569112\pi\)
0.924279 + 0.381719i \(0.124668\pi\)
\(332\) −3798.66 6579.47i −0.627947 1.08764i
\(333\) 2593.84 4338.74i 0.426852 0.713998i
\(334\) −598.439 + 1036.53i −0.0980393 + 0.169809i
\(335\) 828.120 + 4696.50i 0.135060 + 0.765962i
\(336\) 3625.24 + 3089.27i 0.588610 + 0.501588i
\(337\) 276.634 100.686i 0.0447157 0.0162752i −0.319565 0.947564i \(-0.603537\pi\)
0.364281 + 0.931289i \(0.381315\pi\)
\(338\) 2001.25 728.396i 0.322052 0.117218i
\(339\) 1007.98 5472.57i 0.161493 0.876782i
\(340\) 881.891 + 5001.45i 0.140668 + 0.797770i
\(341\) 4216.73 7303.59i 0.669644 1.15986i
\(342\) 606.298 + 3773.62i 0.0958621 + 0.596649i
\(343\) −1550.67 2685.84i −0.244106 0.422804i
\(344\) −2840.51 + 2383.47i −0.445204 + 0.373571i
\(345\) −2924.33 + 2416.10i −0.456349 + 0.377039i
\(346\) 132.310 750.366i 0.0205578 0.116589i
\(347\) 230.707 + 193.586i 0.0356917 + 0.0299489i 0.660459 0.750862i \(-0.270362\pi\)
−0.624767 + 0.780811i \(0.714806\pi\)
\(348\) −2239.89 3948.72i −0.345030 0.608258i
\(349\) 7527.49 + 2739.78i 1.15455 + 0.420221i 0.847147 0.531359i \(-0.178319\pi\)
0.307401 + 0.951580i \(0.400541\pi\)
\(350\) −2788.42 −0.425849
\(351\) −1686.92 + 570.709i −0.256528 + 0.0867868i
\(352\) −6764.60 −1.02430
\(353\) −1832.30 666.904i −0.276271 0.100555i 0.200169 0.979761i \(-0.435851\pi\)
−0.476440 + 0.879207i \(0.658073\pi\)
\(354\) 2000.66 3405.11i 0.300378 0.511242i
\(355\) −3093.53 2595.78i −0.462500 0.388083i
\(356\) −1717.37 + 9739.67i −0.255675 + 1.45000i
\(357\) −968.444 5747.88i −0.143573 0.852129i
\(358\) 842.404 706.861i 0.124364 0.104354i
\(359\) 1524.21 + 2640.01i 0.224080 + 0.388119i 0.956043 0.293226i \(-0.0947289\pi\)
−0.731963 + 0.681345i \(0.761396\pi\)
\(360\) 6139.16 2129.18i 0.898783 0.311716i
\(361\) −5726.32 + 9918.27i −0.834862 + 1.44602i
\(362\) −189.523 1074.84i −0.0275169 0.156056i
\(363\) 1666.07 592.074i 0.240898 0.0856083i
\(364\) 1939.26 705.833i 0.279244 0.101637i
\(365\) 5418.43 1972.15i 0.777024 0.282813i
\(366\) −304.405 + 108.177i −0.0434741 + 0.0154495i
\(367\) 213.215 + 1209.20i 0.0303262 + 0.171988i 0.996209 0.0869907i \(-0.0277250\pi\)
−0.965883 + 0.258979i \(0.916614\pi\)
\(368\) −920.772 + 1594.82i −0.130431 + 0.225913i
\(369\) −1134.22 + 393.370i −0.160014 + 0.0554960i
\(370\) 1511.40 + 2617.83i 0.212363 + 0.367823i
\(371\) −210.634 + 176.743i −0.0294760 + 0.0247333i
\(372\) 1229.87 + 7299.51i 0.171414 + 1.01737i
\(373\) 13.3473 75.6964i 0.00185281 0.0105078i −0.983867 0.178900i \(-0.942746\pi\)
0.985720 + 0.168392i \(0.0538574\pi\)
\(374\) 1560.94 + 1309.79i 0.215814 + 0.181090i
\(375\) −478.486 + 814.379i −0.0658904 + 0.112145i
\(376\) 1603.62 + 583.669i 0.219947 + 0.0800543i
\(377\) −1605.92 −0.219388
\(378\) −3272.95 + 1107.28i −0.445350 + 0.150668i
\(379\) 4538.70 0.615138 0.307569 0.951526i \(-0.400485\pi\)
0.307569 + 0.951526i \(0.400485\pi\)
\(380\) 13553.4 + 4933.05i 1.82968 + 0.665948i
\(381\) 2000.86 + 3527.34i 0.269048 + 0.474307i
\(382\) −292.149 245.142i −0.0391299 0.0328339i
\(383\) −1582.94 + 8977.31i −0.211187 + 1.19770i 0.676215 + 0.736704i \(0.263619\pi\)
−0.887402 + 0.460996i \(0.847492\pi\)
\(384\) 5882.57 4860.23i 0.781754 0.645892i
\(385\) 11379.7 9548.69i 1.50640 1.26402i
\(386\) −428.687 742.508i −0.0565275 0.0979084i
\(387\) 1018.55 + 6339.50i 0.133788 + 0.832700i
\(388\) 2738.02 4742.38i 0.358252 0.620511i
\(389\) 41.7951 + 237.032i 0.00544755 + 0.0308946i 0.987410 0.158180i \(-0.0505625\pi\)
−0.981963 + 0.189074i \(0.939451\pi\)
\(390\) 192.902 1047.31i 0.0250460 0.135981i
\(391\) 2117.75 770.800i 0.273912 0.0996957i
\(392\) 3095.55 1126.69i 0.398849 0.145169i
\(393\) −10164.9 8662.07i −1.30471 1.11182i
\(394\) −393.958 2234.25i −0.0503739 0.285685i
\(395\) −1058.88 + 1834.04i −0.134882 + 0.233622i
\(396\) −3911.32 + 6542.48i −0.496341 + 0.830232i
\(397\) 5249.73 + 9092.81i 0.663669 + 1.14951i 0.979644 + 0.200741i \(0.0643350\pi\)
−0.315975 + 0.948767i \(0.602332\pi\)
\(398\) −3247.53 + 2725.00i −0.409005 + 0.343196i
\(399\) −15512.2 5780.10i −1.94632 0.725231i
\(400\) 765.491 4341.31i 0.0956863 0.542664i
\(401\) −11889.8 9976.74i −1.48067 1.24243i −0.905464 0.424423i \(-0.860477\pi\)
−0.575207 0.818008i \(-0.695079\pi\)
\(402\) −1679.44 12.7865i −0.208366 0.00158640i
\(403\) 2460.64 + 895.601i 0.304152 + 0.110702i
\(404\) −5837.16 −0.718835
\(405\) 2290.33 11016.2i 0.281006 1.35160i
\(406\) −3115.79 −0.380872
\(407\) −7192.25 2617.76i −0.875937 0.318815i
\(408\) −3860.39 29.3912i −0.468426 0.00356638i
\(409\) 4365.10 + 3662.76i 0.527727 + 0.442816i 0.867316 0.497758i \(-0.165843\pi\)
−0.339588 + 0.940574i \(0.610288\pi\)
\(410\) 124.659 706.977i 0.0150158 0.0851588i
\(411\) 7157.83 + 2667.13i 0.859051 + 0.320096i
\(412\) −8943.30 + 7504.32i −1.06943 + 0.897358i
\(413\) 8552.83 + 14813.9i 1.01903 + 1.76500i
\(414\) −650.257 1166.96i −0.0771942 0.138534i
\(415\) 8490.10 14705.3i 1.00425 1.73941i
\(416\) −364.728 2068.48i −0.0429862 0.243787i
\(417\) −5700.24 4857.50i −0.669405 0.570439i
\(418\) 5437.99 1979.27i 0.636318 0.231601i
\(419\) −8940.47 + 3254.06i −1.04241 + 0.379407i −0.805794 0.592196i \(-0.798261\pi\)
−0.236617 + 0.971603i \(0.576039\pi\)
\(420\) −2361.88 + 12823.2i −0.274400 + 1.48979i
\(421\) −1986.28 11264.7i −0.229941 1.30406i −0.853010 0.521894i \(-0.825226\pi\)
0.623069 0.782167i \(-0.285885\pi\)
\(422\) 29.5683 51.2138i 0.00341081 0.00590770i
\(423\) 2292.34 1864.77i 0.263492 0.214345i
\(424\) 91.0547 + 157.711i 0.0104293 + 0.0180640i
\(425\) −4132.68 + 3467.73i −0.471681 + 0.395787i
\(426\) 1096.38 905.840i 0.124695 0.103024i
\(427\) 242.974 1377.98i 0.0275371 0.156171i
\(428\) 5581.57 + 4683.50i 0.630364 + 0.528938i
\(429\) 1330.39 + 2345.37i 0.149725 + 0.263952i
\(430\) −3608.01 1313.21i −0.404636 0.147276i
\(431\) 6855.26 0.766139 0.383070 0.923719i \(-0.374867\pi\)
0.383070 + 0.923719i \(0.374867\pi\)
\(432\) −825.430 5399.66i −0.0919294 0.601368i
\(433\) 4284.51 0.475521 0.237760 0.971324i \(-0.423587\pi\)
0.237760 + 0.971324i \(0.423587\pi\)
\(434\) 4774.10 + 1737.63i 0.528028 + 0.192187i
\(435\) 5140.01 8748.25i 0.566539 0.964245i
\(436\) −7156.23 6004.79i −0.786058 0.659581i
\(437\) 1111.42 6303.19i 0.121663 0.689983i
\(438\) 337.389 + 2002.46i 0.0368061 + 0.218451i
\(439\) −10557.0 + 8858.38i −1.14774 + 0.963070i −0.999664 0.0259060i \(-0.991753\pi\)
−0.148077 + 0.988976i \(0.547309\pi\)
\(440\) −4919.30 8520.49i −0.532997 0.923178i
\(441\) 1075.95 5601.85i 0.116181 0.604886i
\(442\) −316.345 + 547.925i −0.0340429 + 0.0589641i
\(443\) −410.540 2328.29i −0.0440301 0.249707i 0.954846 0.297100i \(-0.0960196\pi\)
−0.998876 + 0.0473935i \(0.984909\pi\)
\(444\) 6330.24 2249.59i 0.676621 0.240452i
\(445\) −20771.2 + 7560.09i −2.21269 + 0.805354i
\(446\) −362.964 + 132.108i −0.0385355 + 0.0140258i
\(447\) 13216.6 4696.79i 1.39848 0.496982i
\(448\) 565.736 + 3208.45i 0.0596619 + 0.338359i
\(449\) −967.587 + 1675.91i −0.101700 + 0.176149i −0.912385 0.409333i \(-0.865761\pi\)
0.810685 + 0.585482i \(0.199095\pi\)
\(450\) 2418.13 + 2092.62i 0.253315 + 0.219215i
\(451\) 908.850 + 1574.17i 0.0948915 + 0.164357i
\(452\) 5665.22 4753.68i 0.589534 0.494678i
\(453\) 889.136 + 5277.17i 0.0922191 + 0.547336i
\(454\) −391.041 + 2217.70i −0.0404239 + 0.229255i
\(455\) 3533.35 + 2964.84i 0.364057 + 0.305480i
\(456\) −5554.05 + 9452.96i −0.570378 + 0.970780i
\(457\) −4776.95 1738.67i −0.488964 0.177968i 0.0857600 0.996316i \(-0.472668\pi\)
−0.574724 + 0.818348i \(0.694890\pi\)
\(458\) −4199.42 −0.428441
\(459\) −3473.75 + 5711.38i −0.353248 + 0.580794i
\(460\) −5041.34 −0.510986
\(461\) −7307.48 2659.71i −0.738272 0.268709i −0.0546099 0.998508i \(-0.517392\pi\)
−0.683662 + 0.729799i \(0.739614\pi\)
\(462\) 2581.21 + 4550.45i 0.259932 + 0.458238i
\(463\) 12156.4 + 10200.5i 1.22021 + 1.02388i 0.998814 + 0.0486955i \(0.0155064\pi\)
0.221398 + 0.975184i \(0.428938\pi\)
\(464\) 855.362 4851.00i 0.0855801 0.485349i
\(465\) −12754.4 + 10537.8i −1.27199 + 1.05092i
\(466\) 1412.06 1184.86i 0.140370 0.117784i
\(467\) −3439.99 5958.24i −0.340865 0.590395i 0.643729 0.765254i \(-0.277387\pi\)
−0.984594 + 0.174858i \(0.944053\pi\)
\(468\) −2211.44 843.249i −0.218427 0.0832889i
\(469\) 3637.15 6299.74i 0.358098 0.620245i
\(470\) 306.848 + 1740.22i 0.0301146 + 0.170788i
\(471\) 921.779 5004.56i 0.0901770 0.489593i
\(472\) 10645.9 3874.80i 1.03817 0.377865i
\(473\) 9135.57 3325.08i 0.888063 0.323229i
\(474\) −567.664 483.739i −0.0550077 0.0468752i
\(475\) 2660.52 + 15088.6i 0.256996 + 1.45750i
\(476\) 3873.32 6708.78i 0.372969 0.646001i
\(477\) 315.303 + 4.80142i 0.0302657 + 0.000460885i
\(478\) −1669.38 2891.46i −0.159740 0.276678i
\(479\) −943.013 + 791.282i −0.0899528 + 0.0754793i −0.686655 0.726983i \(-0.740922\pi\)
0.596702 + 0.802463i \(0.296477\pi\)
\(480\) 12435.4 + 4633.62i 1.18249 + 0.440615i
\(481\) 412.673 2340.38i 0.0391191 0.221855i
\(482\) −1804.69 1514.32i −0.170542 0.143102i
\(483\) 5785.95 + 44.0516i 0.545073 + 0.00414993i
\(484\) 2208.16 + 803.704i 0.207378 + 0.0754794i
\(485\) 12239.1 1.14587
\(486\) 3669.30 + 1496.00i 0.342475 + 0.139629i
\(487\) −5337.59 −0.496652 −0.248326 0.968677i \(-0.579880\pi\)
−0.248326 + 0.968677i \(0.579880\pi\)
\(488\) −870.830 316.956i −0.0807800 0.0294015i
\(489\) 15019.6 + 114.352i 1.38898 + 0.0105750i
\(490\) 2613.03 + 2192.59i 0.240908 + 0.202146i
\(491\) 1031.86 5851.97i 0.0948415 0.537873i −0.899954 0.435984i \(-0.856400\pi\)
0.994796 0.101889i \(-0.0324886\pi\)
\(492\) −1495.05 557.081i −0.136996 0.0510470i
\(493\) −4617.87 + 3874.85i −0.421862 + 0.353985i
\(494\) 898.421 + 1556.11i 0.0818256 + 0.141726i
\(495\) −17034.5 259.401i −1.54676 0.0235539i
\(496\) −4015.95 + 6955.82i −0.363551 + 0.629689i
\(497\) 1069.64 + 6066.24i 0.0965393 + 0.547501i
\(498\) 4551.52 + 3878.61i 0.409555 + 0.349005i
\(499\) 11278.9 4105.19i 1.01185 0.368284i 0.217708 0.976014i \(-0.430142\pi\)
0.794144 + 0.607730i \(0.207920\pi\)
\(500\) −1179.60 + 429.339i −0.105507 + 0.0384013i
\(501\) −1076.92 + 5846.86i −0.0960343 + 0.521394i
\(502\) 1023.00 + 5801.72i 0.0909536 + 0.515823i
\(503\) −2465.92 + 4271.10i −0.218588 + 0.378606i −0.954377 0.298605i \(-0.903479\pi\)
0.735788 + 0.677212i \(0.236812\pi\)
\(504\) −9261.11 3531.37i −0.818497 0.312103i
\(505\) −6523.10 11298.3i −0.574800 0.995583i
\(506\) −1549.49 + 1300.18i −0.136133 + 0.114229i
\(507\) 8155.30 6737.97i 0.714378 0.590225i
\(508\) −935.883 + 5307.66i −0.0817384 + 0.463561i
\(509\) 10406.5 + 8732.10i 0.906209 + 0.760400i 0.971394 0.237474i \(-0.0763193\pi\)
−0.0651850 + 0.997873i \(0.520764\pi\)
\(510\) −1972.31 3477.00i −0.171246 0.301891i
\(511\) −8264.99 3008.21i −0.715502 0.260421i
\(512\) 11299.2 0.975312
\(513\) 9114.50 + 16653.9i 0.784435 + 1.43331i
\(514\) −7022.14 −0.602594
\(515\) −24519.5 8924.39i −2.09798 0.763603i
\(516\) −4322.78 + 7357.34i −0.368798 + 0.627692i
\(517\) −3427.49 2876.00i −0.291568 0.244655i
\(518\) 800.662 4540.78i 0.0679133 0.385155i
\(519\) −628.821 3732.16i −0.0531834 0.315652i
\(520\) 2340.15 1963.62i 0.197351 0.165597i
\(521\) 2801.92 + 4853.07i 0.235613 + 0.408094i 0.959451 0.281877i \(-0.0909569\pi\)
−0.723838 + 0.689970i \(0.757624\pi\)
\(522\) 2702.03 + 2338.30i 0.226561 + 0.196062i
\(523\) −3114.24 + 5394.02i −0.260375 + 0.450983i −0.966342 0.257262i \(-0.917180\pi\)
0.705967 + 0.708245i \(0.250513\pi\)
\(524\) −3082.06 17479.2i −0.256947 1.45722i
\(525\) −13051.2 + 4638.03i −1.08495 + 0.385562i
\(526\) −5420.98 + 1973.07i −0.449365 + 0.163555i
\(527\) 9236.58 3361.84i 0.763476 0.277882i
\(528\) −7793.24 + 2769.50i −0.642343 + 0.228271i
\(529\) −1724.30 9779.01i −0.141720 0.803732i
\(530\) −94.2847 + 163.306i −0.00772729 + 0.0133841i
\(531\) 3700.31 19265.4i 0.302410 1.57447i
\(532\) −11000.2 19053.0i −0.896468 1.55273i
\(533\) −432.347 + 362.783i −0.0351352 + 0.0294819i
\(534\) −1293.36 7676.30i −0.104811 0.622071i
\(535\) −2827.85 + 16037.5i −0.228520 + 1.29600i
\(536\) −3690.65 3096.83i −0.297410 0.249557i
\(537\) 2767.14 4709.65i 0.222366 0.378466i
\(538\) −799.210 290.889i −0.0640453 0.0233106i
\(539\) −8636.92 −0.690202
\(540\) 11671.7 9347.87i 0.930126 0.744941i
\(541\) 15860.5 1.26044 0.630219 0.776418i \(-0.282965\pi\)
0.630219 + 0.776418i \(0.282965\pi\)
\(542\) −5705.04 2076.46i −0.452126 0.164560i
\(543\) −2674.86 4715.54i −0.211398 0.372676i
\(544\) −6039.70 5067.91i −0.476011 0.399421i
\(545\) 3625.63 20562.0i 0.284963 1.61611i
\(546\) −1252.26 + 1034.63i −0.0981536 + 0.0810953i
\(547\) −11583.9 + 9720.02i −0.905467 + 0.759777i −0.971251 0.238057i \(-0.923490\pi\)
0.0657839 + 0.997834i \(0.479045\pi\)
\(548\) 5075.87 + 8791.66i 0.395676 + 0.685331i
\(549\) −1244.83 + 1012.64i −0.0967728 + 0.0787225i
\(550\) 2420.99 4193.27i 0.187693 0.325094i
\(551\) 2972.88 + 16860.0i 0.229853 + 1.30356i
\(552\) 694.163 3768.78i 0.0535245 0.290598i
\(553\) 3035.52 1104.84i 0.233424 0.0849593i
\(554\) 3097.01 1127.22i 0.237508 0.0864457i
\(555\) 11428.4 + 9738.80i 0.874070 + 0.744845i
\(556\) −1728.35 9801.98i −0.131832 0.747655i
\(557\) −13032.6 + 22573.2i −0.991402 + 1.71716i −0.382378 + 0.924006i \(0.624895\pi\)
−0.609024 + 0.793152i \(0.708439\pi\)
\(558\) −2836.10 5089.69i −0.215164 0.386136i
\(559\) 1509.30 + 2614.19i 0.114198 + 0.197797i
\(560\) −10837.8 + 9094.01i −0.817824 + 0.686236i
\(561\) 9484.59 + 3534.11i 0.713796 + 0.265972i
\(562\) 1180.16 6693.02i 0.0885802 0.502363i
\(563\) −6443.37 5406.63i −0.482337 0.404728i 0.368934 0.929456i \(-0.379723\pi\)
−0.851270 + 0.524727i \(0.824167\pi\)
\(564\) 3927.13 + 29.8994i 0.293195 + 0.00223225i
\(565\) 15532.1 + 5653.24i 1.15653 + 0.420944i
\(566\) 5610.27 0.416638
\(567\) −13477.3 + 10626.6i −0.998222 + 0.787080i
\(568\) 4079.68 0.301372
\(569\) 2859.32 + 1040.71i 0.210666 + 0.0766762i 0.445198 0.895432i \(-0.353133\pi\)
−0.234532 + 0.972109i \(0.575356\pi\)
\(570\) −11352.4 86.4322i −0.834213 0.00635131i
\(571\) 15411.5 + 12931.8i 1.12951 + 0.947776i 0.999046 0.0436768i \(-0.0139072\pi\)
0.130469 + 0.991452i \(0.458352\pi\)
\(572\) −622.279 + 3529.12i −0.0454874 + 0.257972i
\(573\) −1775.15 661.450i −0.129421 0.0482242i
\(574\) −838.835 + 703.866i −0.0609970 + 0.0511826i
\(575\) −2677.62 4637.77i −0.194199 0.336363i
\(576\) 1917.23 3206.95i 0.138688 0.231984i
\(577\) −1827.40 + 3165.16i −0.131847 + 0.228366i −0.924389 0.381452i \(-0.875424\pi\)
0.792541 + 0.609818i \(0.208757\pi\)
\(578\) −480.041 2722.45i −0.0345451 0.195915i
\(579\) −3241.50 2762.26i −0.232663 0.198266i
\(580\) 12671.5 4612.06i 0.907167 0.330182i
\(581\) −24338.7 + 8858.56i −1.73793 + 0.632556i
\(582\) −780.765 + 4238.96i −0.0556078 + 0.301908i
\(583\) −82.9105 470.209i −0.00588988 0.0334032i
\(584\) −2912.62 + 5044.81i −0.206379 + 0.357458i
\(585\) −839.133 5222.79i −0.0593058 0.369121i
\(586\) 4503.36 + 7800.05i 0.317461 + 0.549859i
\(587\) 11835.8 9931.44i 0.832226 0.698321i −0.123575 0.992335i \(-0.539436\pi\)
0.955801 + 0.294014i \(0.0949914\pi\)
\(588\) 5844.30 4828.60i 0.409889 0.338654i
\(589\) 4847.47 27491.4i 0.339111 1.92320i
\(590\) 8986.49 + 7540.56i 0.627064 + 0.526169i
\(591\) −5560.18 9802.12i −0.386997 0.682242i
\(592\) 6849.78 + 2493.12i 0.475548 + 0.173085i
\(593\) 11806.2 0.817573 0.408787 0.912630i \(-0.365952\pi\)
0.408787 + 0.912630i \(0.365952\pi\)
\(594\) 1176.52 5883.29i 0.0812680 0.406388i
\(595\) 17313.9 1.19294
\(596\) 17516.9 + 6375.61i 1.20389 + 0.438180i
\(597\) −10667.5 + 18156.0i −0.731311 + 1.24469i
\(598\) −481.112 403.701i −0.0328999 0.0276063i
\(599\) 1878.61 10654.1i 0.128143 0.726736i −0.851248 0.524763i \(-0.824154\pi\)
0.979391 0.201972i \(-0.0647351\pi\)
\(600\) 1524.13 + 9045.95i 0.103704 + 0.615499i
\(601\) −3054.52 + 2563.05i −0.207315 + 0.173958i −0.740533 0.672020i \(-0.765427\pi\)
0.533218 + 0.845978i \(0.320983\pi\)
\(602\) 2928.33 + 5072.02i 0.198256 + 0.343389i
\(603\) −7881.91 + 2733.60i −0.532299 + 0.184612i
\(604\) −3556.12 + 6159.38i −0.239564 + 0.414937i
\(605\) 912.006 + 5172.24i 0.0612865 + 0.347573i
\(606\) 4329.26 1538.50i 0.290205 0.103131i
\(607\) 5912.85 2152.10i 0.395379 0.143906i −0.136676 0.990616i \(-0.543642\pi\)
0.532056 + 0.846709i \(0.321420\pi\)
\(608\) −21041.0 + 7658.31i −1.40350 + 0.510831i
\(609\) −14583.4 + 5182.55i −0.970363 + 0.344840i
\(610\) −166.631 945.013i −0.0110602 0.0627254i
\(611\) 694.622 1203.12i 0.0459925 0.0796613i
\(612\) −8393.68 + 2911.10i −0.554403 + 0.192278i
\(613\) −3112.72 5391.39i −0.205093 0.355231i 0.745070 0.666987i \(-0.232416\pi\)
−0.950162 + 0.311756i \(0.899083\pi\)
\(614\) 2585.52 2169.51i 0.169940 0.142597i
\(615\) −592.461 3516.35i −0.0388460 0.230558i
\(616\) −2605.99 + 14779.3i −0.170452 + 0.966680i
\(617\) 21021.0 + 17638.7i 1.37159 + 1.15090i 0.972208 + 0.234120i \(0.0752210\pi\)
0.399386 + 0.916783i \(0.369223\pi\)
\(618\) 4655.10 7922.94i 0.303002 0.515708i
\(619\) −11484.7 4180.09i −0.745733 0.271425i −0.0589242 0.998262i \(-0.518767\pi\)
−0.686809 + 0.726838i \(0.740989\pi\)
\(620\) −21987.8 −1.42428
\(621\) −4984.55 4380.37i −0.322099 0.283057i
\(622\) −374.128 −0.0241176
\(623\) 31683.2 + 11531.8i 2.03750 + 0.741589i
\(624\) −1267.05 2233.69i −0.0812859 0.143300i
\(625\) −12990.9 10900.7i −0.831420 0.697644i
\(626\) −1158.28 + 6568.95i −0.0739525 + 0.419406i
\(627\) 22160.4 18309.1i 1.41148 1.16618i
\(628\) 5180.74 4347.16i 0.329194 0.276227i
\(629\) −4460.34 7725.54i −0.282743 0.489726i
\(630\) −1628.07 10133.2i −0.102959 0.640818i
\(631\) 5283.88 9151.94i 0.333356 0.577390i −0.649811 0.760095i \(-0.725152\pi\)
0.983168 + 0.182705i \(0.0584855\pi\)
\(632\) −371.513 2106.96i −0.0233829 0.132611i
\(633\) 53.2096 288.888i 0.00334106 0.0181394i
\(634\) −8652.27 + 3149.17i −0.541996 + 0.197271i
\(635\) −11319.3 + 4119.89i −0.707391 + 0.257469i
\(636\) 318.980 + 271.821i 0.0198874 + 0.0169472i
\(637\) −465.679 2640.99i −0.0289652 0.164270i
\(638\) 2705.22 4685.58i 0.167869 0.290758i
\(639\) 3624.92 6063.41i 0.224412 0.375376i
\(640\) 11332.9 + 19629.1i 0.699954 + 1.21236i
\(641\) −13412.3 + 11254.3i −0.826452 + 0.693475i −0.954473 0.298296i \(-0.903582\pi\)
0.128022 + 0.991771i \(0.459137\pi\)
\(642\) −5374.14 2002.49i −0.330374 0.123103i
\(643\) −2166.26 + 12285.5i −0.132860 + 0.753487i 0.843466 + 0.537183i \(0.180511\pi\)
−0.976326 + 0.216304i \(0.930600\pi\)
\(644\) 5890.72 + 4942.90i 0.360446 + 0.302450i
\(645\) −19071.6 145.202i −1.16425 0.00886407i
\(646\) 6338.09 + 2306.88i 0.386020 + 0.140500i
\(647\) −13857.5 −0.842029 −0.421015 0.907054i \(-0.638326\pi\)
−0.421015 + 0.907054i \(0.638326\pi\)
\(648\) 5381.11 + 10012.6i 0.326219 + 0.606993i
\(649\) −29703.3 −1.79654
\(650\) 1412.75 + 514.199i 0.0852502 + 0.0310285i
\(651\) 25235.4 + 192.131i 1.51928 + 0.0115671i
\(652\) 15291.6 + 12831.2i 0.918504 + 0.770716i
\(653\) 1267.79 7190.01i 0.0759763 0.430883i −0.922965 0.384884i \(-0.874242\pi\)
0.998941 0.0459996i \(-0.0146473\pi\)
\(654\) 6890.27 + 2567.43i 0.411974 + 0.153508i
\(655\) 30388.4 25498.9i 1.81278 1.52111i
\(656\) −865.574 1499.22i −0.0515167 0.0892296i
\(657\) 4909.88 + 8811.34i 0.291557 + 0.523231i
\(658\) 1347.70 2334.28i 0.0798460 0.138297i
\(659\) −3817.86 21652.1i −0.225679 1.27989i −0.861382 0.507957i \(-0.830401\pi\)
0.635703 0.771934i \(-0.280710\pi\)
\(660\) −17233.2 14685.4i −1.01636 0.866101i
\(661\) −23240.8 + 8458.96i −1.36757 + 0.497754i −0.918386 0.395686i \(-0.870507\pi\)
−0.449183 + 0.893440i \(0.648285\pi\)
\(662\) −5477.70 + 1993.72i −0.321596 + 0.117052i
\(663\) −569.277 + 3090.74i −0.0333467 + 0.181048i
\(664\) 2978.79 + 16893.5i 0.174095 + 0.987344i
\(665\) 24585.8 42583.9i 1.43368 2.48321i
\(666\) −4102.05 + 3336.92i −0.238665 + 0.194149i
\(667\) −2991.98 5182.26i −0.173688 0.300837i
\(668\) −6052.68 + 5078.80i −0.350577 + 0.294169i
\(669\) −1479.11 + 1222.06i −0.0854796 + 0.0706240i
\(670\) 866.280 4912.92i 0.0499512 0.283287i
\(671\) 1861.27 + 1561.79i 0.107084 + 0.0898542i
\(672\) −9987.38 17606.9i −0.573321 1.01071i
\(673\) −5162.27 1878.91i −0.295678 0.107618i 0.189922 0.981799i \(-0.439176\pi\)
−0.485600 + 0.874181i \(0.661399\pi\)
\(674\) −307.953 −0.0175992
\(675\) 14798.8 + 5772.37i 0.843859 + 0.329153i
\(676\) 14059.2 0.799908
\(677\) −21448.3 7806.53i −1.21761 0.443175i −0.348275 0.937392i \(-0.613232\pi\)
−0.869338 + 0.494217i \(0.835455\pi\)
\(678\) −2948.82 + 5018.86i −0.167033 + 0.284290i
\(679\) −14301.2 12000.1i −0.808289 0.678235i
\(680\) 1991.24 11292.9i 0.112295 0.636856i
\(681\) 1858.48 + 11030.4i 0.104577 + 0.620683i
\(682\) −6758.10 + 5670.72i −0.379444 + 0.318392i
\(683\) −8593.28 14884.0i −0.481424 0.833851i 0.518349 0.855169i \(-0.326547\pi\)
−0.999773 + 0.0213186i \(0.993214\pi\)
\(684\) −4759.16 + 24778.2i −0.266040 + 1.38511i
\(685\) −11344.7 + 19649.6i −0.632787 + 1.09602i
\(686\) 563.359 + 3194.97i 0.0313544 + 0.177820i
\(687\) −19655.4 + 6984.97i −1.09156 + 0.387909i
\(688\) −8700.57 + 3166.75i −0.482131 + 0.175481i
\(689\) 139.310 50.7047i 0.00770288 0.00280362i
\(690\) 3739.03 1328.75i 0.206293 0.0733109i
\(691\) −4152.63 23550.7i −0.228616 1.29654i −0.855651 0.517553i \(-0.826843\pi\)
0.627035 0.778991i \(-0.284268\pi\)
\(692\) 2514.99 4356.08i 0.138158 0.239297i
\(693\) 19650.2 + 17005.0i 1.07713 + 0.932130i
\(694\) −157.522 272.837i −0.00861595 0.0149233i
\(695\) 17041.2 14299.2i 0.930083 0.780432i
\(696\) 1703.07 + 10108.0i 0.0927507 + 0.550491i
\(697\) −367.885 + 2086.38i −0.0199923 + 0.113382i
\(698\) −6419.23 5386.37i −0.348097 0.292088i
\(699\) 4638.34 7894.42i 0.250984 0.427174i
\(700\) −17297.7 6295.84i −0.933987 0.339943i
\(701\) 9600.52 0.517270 0.258635 0.965975i \(-0.416727\pi\)
0.258635 + 0.965975i \(0.416727\pi\)
\(702\) 1862.42 + 42.5455i 0.100132 + 0.00228743i
\(703\) −25334.8 −1.35920
\(704\) −5316.11 1934.91i −0.284600 0.103586i
\(705\) 4330.75 + 7634.73i 0.231355 + 0.407859i
\(706\) 1562.54 + 1311.13i 0.0832959 + 0.0698936i
\(707\) −3455.59 + 19597.6i −0.183820 + 1.04250i
\(708\) 20099.1 16606.1i 1.06691 0.881489i
\(709\) 6827.53 5728.98i 0.361655 0.303464i −0.443795 0.896128i \(-0.646368\pi\)
0.805450 + 0.592664i \(0.201924\pi\)
\(710\) 2112.20 + 3658.43i 0.111647 + 0.193378i
\(711\) −3461.56 1319.93i −0.182586 0.0696222i
\(712\) 11165.3 19338.9i 0.587694 1.01792i
\(713\) 1694.33 + 9609.00i 0.0889944 + 0.504713i
\(714\) −1104.50 + 5996.62i −0.0578922 + 0.314311i
\(715\) −7526.33 + 2739.36i −0.393663 + 0.143282i
\(716\) 6821.76 2482.92i 0.356063 0.129596i
\(717\) −12623.0 10756.7i −0.657480 0.560276i
\(718\) −553.746 3140.45i −0.0287822 0.163232i
\(719\) −9627.06 + 16674.6i −0.499345 + 0.864890i −1.00000 0.000756651i \(-0.999759\pi\)
0.500655 + 0.865647i \(0.333092\pi\)
\(720\) 16223.4 + 247.049i 0.839736 + 0.0127875i
\(721\) 19900.6 + 34468.8i 1.02793 + 1.78042i
\(722\) 9177.49 7700.83i 0.473062 0.396946i
\(723\) −10965.6 4085.98i −0.564062 0.210179i
\(724\) 1251.14 7095.57i 0.0642241 0.364233i
\(725\) 10973.1 + 9207.55i 0.562113 + 0.471669i
\(726\) −1849.57 14.0817i −0.0945508 0.000719866i
\(727\) 23401.7 + 8517.51i 1.19384 + 0.434521i 0.861069 0.508488i \(-0.169795\pi\)
0.332768 + 0.943009i \(0.392017\pi\)
\(728\) −4659.71 −0.237226
\(729\) 19662.5 + 898.813i 0.998957 + 0.0456645i
\(730\) −6031.88 −0.305822
\(731\) 10647.7 + 3875.44i 0.538740 + 0.196085i
\(732\) −2132.59 16.2366i −0.107682 0.000819838i
\(733\) −22459.9 18846.1i −1.13175 0.949655i −0.132617 0.991167i \(-0.542338\pi\)
−0.999138 + 0.0415124i \(0.986782\pi\)
\(734\) 223.039 1264.92i 0.0112160 0.0636090i
\(735\) 15877.3 + 5916.13i 0.796792 + 0.296898i
\(736\) 5995.38 5030.72i 0.300262 0.251950i
\(737\) 6315.77 + 10939.2i 0.315664 + 0.546746i
\(738\) 1255.67 + 19.1213i 0.0626313 + 0.000953746i
\(739\) −10452.2 + 18103.8i −0.520287 + 0.901163i 0.479435 + 0.877577i \(0.340842\pi\)
−0.999722 + 0.0235855i \(0.992492\pi\)
\(740\) 3465.17 + 19652.0i 0.172138 + 0.976244i
\(741\) 6793.36 + 5789.01i 0.336789 + 0.286997i
\(742\) 270.287 98.3765i 0.0133727 0.00486727i
\(743\) −14435.9 + 5254.24i −0.712788 + 0.259434i −0.672861 0.739769i \(-0.734935\pi\)
−0.0399271 + 0.999203i \(0.512713\pi\)
\(744\) 3027.59 16437.5i 0.149189 0.809985i
\(745\) 7234.74 + 41030.3i 0.355786 + 2.01776i
\(746\) −40.2030 + 69.6336i −0.00197310 + 0.00341752i
\(747\) 27754.7 + 10583.2i 1.35943 + 0.518365i
\(748\) 6725.85 + 11649.5i 0.328772 + 0.569450i
\(749\) 19028.7 15966.9i 0.928293 0.778931i
\(750\) 761.717 629.337i 0.0370853 0.0306402i
\(751\) 4371.61 24792.6i 0.212413 1.20465i −0.672927 0.739709i \(-0.734963\pi\)
0.885340 0.464945i \(-0.153926\pi\)
\(752\) 3264.28 + 2739.06i 0.158293 + 0.132823i
\(753\) 14438.2 + 25453.4i 0.698750 + 1.23184i
\(754\) 1578.61 + 574.568i 0.0762462 + 0.0277513i
\(755\) −15896.1 −0.766247
\(756\) −22803.5 520.926i −1.09703 0.0250607i
\(757\) 8319.25 0.399430 0.199715 0.979854i \(-0.435998\pi\)
0.199715 + 0.979854i \(0.435998\pi\)
\(758\) −4461.51 1623.86i −0.213785 0.0778115i
\(759\) −5089.78 + 8662.77i −0.243409 + 0.414280i
\(760\) −24947.5 20933.4i −1.19071 0.999125i
\(761\) 3537.36 20061.4i