Properties

Label 177.4.e.a.4.5
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.99643 - 0.325881i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(1.05942 + 0.233196i) q^{4} +(-3.11311 - 2.36653i) q^{5} +(6.56466 - 6.21838i) q^{6} +(-9.33995 + 23.4415i) q^{7} +(19.7521 + 6.65525i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-2.99643 - 0.325881i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(1.05942 + 0.233196i) q^{4} +(-3.11311 - 2.36653i) q^{5} +(6.56466 - 6.21838i) q^{6} +(-9.33995 + 23.4415i) q^{7} +(19.7521 + 6.65525i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(8.55701 + 8.10563i) q^{10} +(-16.8281 + 7.78552i) q^{11} +(-2.59076 + 1.96945i) q^{12} +(-5.52483 + 33.7000i) q^{13} +(35.6256 - 67.1971i) q^{14} +(11.4572 - 2.52192i) q^{15} +(-64.8930 - 30.0227i) q^{16} +(39.3850 + 98.8490i) q^{17} +(1.46862 + 27.0871i) q^{18} +(-60.0820 - 88.6143i) q^{19} +(-2.74623 - 3.23311i) q^{20} +(-35.4590 - 66.8828i) q^{21} +(52.9614 - 17.8448i) q^{22} +(2.56866 - 47.3761i) q^{23} +(-53.5788 + 32.2373i) q^{24} +(-29.3500 - 105.709i) q^{25} +(27.5370 - 99.1792i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-15.3614 + 22.6564i) q^{28} +(74.6296 - 8.11646i) q^{29} +(-35.1525 + 3.82306i) q^{30} +(109.479 - 161.470i) q^{31} +(41.7866 + 25.1422i) q^{32} +(14.8814 - 53.5980i) q^{33} +(-85.8014 - 309.029i) q^{34} +(84.5513 - 50.8728i) q^{35} +(0.528560 - 9.74871i) q^{36} +(-281.578 + 94.8748i) q^{37} +(151.154 + 285.106i) q^{38} +(-66.3245 - 78.0832i) q^{39} +(-45.7406 - 67.4623i) q^{40} +(-24.6739 - 455.083i) q^{41} +(84.4546 + 211.965i) q^{42} +(-425.164 - 196.702i) q^{43} +(-19.6436 + 4.32388i) q^{44} +(-16.4853 + 31.0947i) q^{45} +(-23.1358 + 141.122i) q^{46} +(453.273 - 344.569i) q^{47} +(194.679 - 90.0681i) q^{48} +(-213.253 - 202.004i) q^{49} +(53.4966 + 326.315i) q^{50} +(-302.509 - 101.927i) q^{51} +(-13.7118 + 34.4141i) q^{52} +(-312.730 + 296.234i) q^{53} +(-64.7865 - 49.2495i) q^{54} +(70.8125 + 15.5870i) q^{55} +(-340.492 + 400.859i) q^{56} +(319.304 + 34.7264i) q^{57} -226.267 q^{58} +(324.017 + 316.847i) q^{59} +12.7261 q^{60} +(-308.330 - 33.5330i) q^{61} +(-380.667 + 448.156i) q^{62} +(221.794 + 48.8205i) q^{63} +(338.357 + 257.213i) q^{64} +(96.9514 - 91.8372i) q^{65} +(-62.0577 + 155.753i) q^{66} +(907.404 + 305.740i) q^{67} +(18.6741 + 113.907i) q^{68} +(103.336 + 97.8851i) q^{69} +(-269.930 + 124.883i) q^{70} +(238.693 - 181.450i) q^{71} +(30.3484 - 185.117i) q^{72} +(-180.710 + 340.856i) q^{73} +(874.647 - 192.524i) q^{74} +(298.705 + 138.196i) q^{75} +(-42.9876 - 107.891i) q^{76} +(-25.3305 - 467.193i) q^{77} +(173.291 + 255.585i) q^{78} +(132.282 + 155.734i) q^{79} +(130.970 + 247.035i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-74.3694 + 1371.66i) q^{82} +(364.416 - 219.262i) q^{83} +(-21.9692 - 79.1259i) q^{84} +(111.319 - 400.934i) q^{85} +(1209.87 + 727.955i) q^{86} +(-126.384 + 186.403i) q^{87} +(-384.205 + 41.7848i) q^{88} +(-1548.39 + 168.398i) q^{89} +(59.5303 - 87.8007i) q^{90} +(-738.377 - 444.267i) q^{91} +(13.7692 - 49.5922i) q^{92} +(156.573 + 563.924i) q^{93} +(-1470.49 + 884.764i) q^{94} +(-22.6661 + 418.052i) q^{95} +(-138.644 + 46.7145i) q^{96} +(-545.452 - 1028.83i) q^{97} +(573.169 + 674.786i) q^{98} +(93.6490 + 138.122i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.99643 0.325881i −1.05940 0.115216i −0.438205 0.898875i \(-0.644386\pi\)
−0.621192 + 0.783658i \(0.713351\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 1.05942 + 0.233196i 0.132427 + 0.0291495i
\(5\) −3.11311 2.36653i −0.278445 0.211669i 0.456625 0.889659i \(-0.349058\pi\)
−0.735071 + 0.677990i \(0.762851\pi\)
\(6\) 6.56466 6.21838i 0.446669 0.423107i
\(7\) −9.33995 + 23.4415i −0.504310 + 1.26572i 0.427907 + 0.903823i \(0.359251\pi\)
−0.932217 + 0.361900i \(0.882128\pi\)
\(8\) 19.7521 + 6.65525i 0.872926 + 0.294123i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 8.55701 + 8.10563i 0.270596 + 0.256323i
\(11\) −16.8281 + 7.78552i −0.461261 + 0.213402i −0.636736 0.771082i \(-0.719716\pi\)
0.175475 + 0.984484i \(0.443854\pi\)
\(12\) −2.59076 + 1.96945i −0.0623240 + 0.0473775i
\(13\) −5.52483 + 33.7000i −0.117870 + 0.718977i 0.860083 + 0.510154i \(0.170412\pi\)
−0.977953 + 0.208823i \(0.933037\pi\)
\(14\) 35.6256 67.1971i 0.680097 1.28280i
\(15\) 11.4572 2.52192i 0.197216 0.0434104i
\(16\) −64.8930 30.0227i −1.01395 0.469105i
\(17\) 39.3850 + 98.8490i 0.561898 + 1.41026i 0.885755 + 0.464152i \(0.153641\pi\)
−0.323857 + 0.946106i \(0.604980\pi\)
\(18\) 1.46862 + 27.0871i 0.0192309 + 0.354694i
\(19\) −60.0820 88.6143i −0.725461 1.06997i −0.994282 0.106784i \(-0.965945\pi\)
0.268822 0.963190i \(-0.413366\pi\)
\(20\) −2.74623 3.23311i −0.0307038 0.0361473i
\(21\) −35.4590 66.8828i −0.368466 0.695001i
\(22\) 52.9614 17.8448i 0.513246 0.172933i
\(23\) 2.56866 47.3761i 0.0232870 0.429504i −0.963523 0.267624i \(-0.913761\pi\)
0.986810 0.161880i \(-0.0517558\pi\)
\(24\) −53.5788 + 32.2373i −0.455697 + 0.274184i
\(25\) −29.3500 105.709i −0.234800 0.845674i
\(26\) 27.5370 99.1792i 0.207709 0.748102i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) −15.3614 + 22.6564i −0.103680 + 0.152916i
\(29\) 74.6296 8.11646i 0.477875 0.0519720i 0.133988 0.990983i \(-0.457222\pi\)
0.343887 + 0.939011i \(0.388256\pi\)
\(30\) −35.1525 + 3.82306i −0.213931 + 0.0232664i
\(31\) 109.479 161.470i 0.634293 0.935512i −0.365696 0.930735i \(-0.619169\pi\)
0.999989 0.00477767i \(-0.00152079\pi\)
\(32\) 41.7866 + 25.1422i 0.230841 + 0.138892i
\(33\) 14.8814 53.5980i 0.0785006 0.282734i
\(34\) −85.8014 309.029i −0.432789 1.55876i
\(35\) 84.5513 50.8728i 0.408336 0.245688i
\(36\) 0.528560 9.74871i 0.00244704 0.0451329i
\(37\) −281.578 + 94.8748i −1.25111 + 0.421549i −0.865406 0.501072i \(-0.832939\pi\)
−0.385708 + 0.922621i \(0.626043\pi\)
\(38\) 151.154 + 285.106i 0.645273 + 1.21711i
\(39\) −66.3245 78.0832i −0.272318 0.320598i
\(40\) −45.7406 67.4623i −0.180806 0.266668i
\(41\) −24.6739 455.083i −0.0939856 1.73346i −0.542821 0.839848i \(-0.682644\pi\)
0.448836 0.893614i \(-0.351839\pi\)
\(42\) 84.4546 + 211.965i 0.310277 + 0.778736i
\(43\) −425.164 196.702i −1.50783 0.697598i −0.520152 0.854074i \(-0.674125\pi\)
−0.987682 + 0.156475i \(0.949987\pi\)
\(44\) −19.6436 + 4.32388i −0.0673042 + 0.0148148i
\(45\) −16.4853 + 31.0947i −0.0546109 + 0.103007i
\(46\) −23.1358 + 141.122i −0.0741562 + 0.452333i
\(47\) 453.273 344.569i 1.40674 1.06937i 0.419916 0.907563i \(-0.362059\pi\)
0.986822 0.161812i \(-0.0517337\pi\)
\(48\) 194.679 90.0681i 0.585406 0.270838i
\(49\) −213.253 202.004i −0.621730 0.588933i
\(50\) 53.4966 + 326.315i 0.151311 + 0.922957i
\(51\) −302.509 101.927i −0.830582 0.279856i
\(52\) −13.7118 + 34.4141i −0.0365671 + 0.0917764i
\(53\) −312.730 + 296.234i −0.810505 + 0.767751i −0.975840 0.218486i \(-0.929888\pi\)
0.165335 + 0.986238i \(0.447130\pi\)
\(54\) −64.7865 49.2495i −0.163265 0.124111i
\(55\) 70.8125 + 15.5870i 0.173606 + 0.0382137i
\(56\) −340.492 + 400.859i −0.812504 + 0.956553i
\(57\) 319.304 + 34.7264i 0.741980 + 0.0806952i
\(58\) −226.267 −0.512247
\(59\) 324.017 + 316.847i 0.714973 + 0.699152i
\(60\) 12.7261 0.0273821
\(61\) −308.330 33.5330i −0.647175 0.0703845i −0.221356 0.975193i \(-0.571048\pi\)
−0.425819 + 0.904809i \(0.640014\pi\)
\(62\) −380.667 + 448.156i −0.779755 + 0.917998i
\(63\) 221.794 + 48.8205i 0.443546 + 0.0976318i
\(64\) 338.357 + 257.213i 0.660854 + 0.502368i
\(65\) 96.9514 91.8372i 0.185005 0.175246i
\(66\) −62.0577 + 155.753i −0.115739 + 0.290483i
\(67\) 907.404 + 305.740i 1.65458 + 0.557494i 0.983027 0.183460i \(-0.0587299\pi\)
0.671556 + 0.740954i \(0.265626\pi\)
\(68\) 18.6741 + 113.907i 0.0333025 + 0.203136i
\(69\) 103.336 + 97.8851i 0.180293 + 0.170782i
\(70\) −269.930 + 124.883i −0.460898 + 0.213234i
\(71\) 238.693 181.450i 0.398981 0.303297i −0.386375 0.922342i \(-0.626273\pi\)
0.785356 + 0.619044i \(0.212480\pi\)
\(72\) 30.3484 185.117i 0.0496749 0.303004i
\(73\) −180.710 + 340.856i −0.289733 + 0.546495i −0.985063 0.172196i \(-0.944914\pi\)
0.695329 + 0.718691i \(0.255259\pi\)
\(74\) 874.647 192.524i 1.37400 0.302439i
\(75\) 298.705 + 138.196i 0.459887 + 0.212766i
\(76\) −42.9876 107.891i −0.0648817 0.162841i
\(77\) −25.3305 467.193i −0.0374893 0.691449i
\(78\) 173.291 + 255.585i 0.251555 + 0.371016i
\(79\) 132.282 + 155.734i 0.188391 + 0.221791i 0.848247 0.529601i \(-0.177659\pi\)
−0.659856 + 0.751392i \(0.729383\pi\)
\(80\) 130.970 + 247.035i 0.183036 + 0.345242i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −74.3694 + 1371.66i −0.100155 + 1.84725i
\(83\) 364.416 219.262i 0.481926 0.289966i −0.253785 0.967261i \(-0.581676\pi\)
0.735711 + 0.677295i \(0.236848\pi\)
\(84\) −21.9692 79.1259i −0.0285361 0.102778i
\(85\) 111.319 400.934i 0.142049 0.511616i
\(86\) 1209.87 + 727.955i 1.51702 + 0.912761i
\(87\) −126.384 + 186.403i −0.155745 + 0.229707i
\(88\) −384.205 + 41.7848i −0.465413 + 0.0506168i
\(89\) −1548.39 + 168.398i −1.84415 + 0.200563i −0.962489 0.271322i \(-0.912539\pi\)
−0.881660 + 0.471885i \(0.843574\pi\)
\(90\) 59.5303 87.8007i 0.0697228 0.102833i
\(91\) −738.377 444.267i −0.850582 0.511778i
\(92\) 13.7692 49.5922i 0.0156037 0.0561994i
\(93\) 156.573 + 563.924i 0.174579 + 0.628776i
\(94\) −1470.49 + 884.764i −1.61350 + 0.970813i
\(95\) −22.6661 + 418.052i −0.0244789 + 0.451486i
\(96\) −138.644 + 46.7145i −0.147398 + 0.0496643i
\(97\) −545.452 1028.83i −0.570951 1.07693i −0.985940 0.167101i \(-0.946559\pi\)
0.414989 0.909827i \(-0.363786\pi\)
\(98\) 573.169 + 674.786i 0.590804 + 0.695548i
\(99\) 93.6490 + 138.122i 0.0950715 + 0.140220i
\(100\) −6.44303 118.835i −0.00644303 0.118835i
\(101\) 46.3023 + 116.210i 0.0456163 + 0.114488i 0.950019 0.312191i \(-0.101063\pi\)
−0.904403 + 0.426679i \(0.859683\pi\)
\(102\) 873.230 + 403.999i 0.847673 + 0.392175i
\(103\) 194.526 42.8183i 0.186089 0.0409613i −0.120948 0.992659i \(-0.538593\pi\)
0.307037 + 0.951698i \(0.400662\pi\)
\(104\) −333.409 + 628.876i −0.314360 + 0.592945i
\(105\) −47.8920 + 292.128i −0.0445122 + 0.271512i
\(106\) 1033.61 785.730i 0.947105 0.719970i
\(107\) 1128.26 521.989i 1.01938 0.471613i 0.162265 0.986747i \(-0.448120\pi\)
0.857110 + 0.515134i \(0.172258\pi\)
\(108\) 21.2638 + 20.1421i 0.0189454 + 0.0179461i
\(109\) −64.8910 395.818i −0.0570223 0.347821i −0.999893 0.0146605i \(-0.995333\pi\)
0.942870 0.333160i \(-0.108115\pi\)
\(110\) −207.105 69.7818i −0.179515 0.0604858i
\(111\) 329.940 828.087i 0.282131 0.708095i
\(112\) 1309.87 1240.78i 1.10510 1.04681i
\(113\) −458.982 348.909i −0.382101 0.290466i 0.396438 0.918061i \(-0.370246\pi\)
−0.778539 + 0.627596i \(0.784039\pi\)
\(114\) −945.455 208.110i −0.776754 0.170977i
\(115\) −120.113 + 141.408i −0.0973967 + 0.114664i
\(116\) 80.9568 + 8.80458i 0.0647987 + 0.00704728i
\(117\) 307.349 0.242858
\(118\) −867.639 1055.00i −0.676887 0.823056i
\(119\) −2685.02 −2.06837
\(120\) 243.087 + 26.4373i 0.184923 + 0.0201115i
\(121\) −639.100 + 752.406i −0.480165 + 0.565294i
\(122\) 912.962 + 200.958i 0.677506 + 0.149130i
\(123\) 1088.46 + 827.426i 0.797912 + 0.606557i
\(124\) 153.639 145.534i 0.111268 0.105398i
\(125\) −339.721 + 852.636i −0.243085 + 0.610097i
\(126\) −648.679 218.565i −0.458642 0.154535i
\(127\) −298.808 1822.65i −0.208779 1.27350i −0.858298 0.513151i \(-0.828478\pi\)
0.649519 0.760345i \(-0.274970\pi\)
\(128\) −1213.28 1149.28i −0.837812 0.793618i
\(129\) 1275.49 590.105i 0.870548 0.402759i
\(130\) −320.436 + 243.589i −0.216185 + 0.164340i
\(131\) 327.006 1994.65i 0.218097 1.33033i −0.619911 0.784672i \(-0.712831\pi\)
0.838008 0.545658i \(-0.183720\pi\)
\(132\) 28.2645 53.3125i 0.0186372 0.0351535i
\(133\) 2638.42 580.759i 1.72015 0.378633i
\(134\) −2619.34 1211.83i −1.68863 0.781243i
\(135\) −39.0804 98.0843i −0.0249148 0.0625315i
\(136\) 120.071 + 2214.59i 0.0757062 + 1.39632i
\(137\) 229.337 + 338.246i 0.143019 + 0.210937i 0.892451 0.451144i \(-0.148984\pi\)
−0.749432 + 0.662081i \(0.769674\pi\)
\(138\) −277.740 326.981i −0.171325 0.201699i
\(139\) −109.977 207.438i −0.0671087 0.126581i 0.847688 0.530495i \(-0.177994\pi\)
−0.914797 + 0.403915i \(0.867649\pi\)
\(140\) 101.439 34.1786i 0.0612366 0.0206330i
\(141\) −92.4755 + 1705.61i −0.0552330 + 1.01871i
\(142\) −774.357 + 465.915i −0.457624 + 0.275343i
\(143\) −169.399 610.122i −0.0990622 0.356790i
\(144\) −172.158 + 620.057i −0.0996285 + 0.358830i
\(145\) −251.538 151.345i −0.144063 0.0866797i
\(146\) 652.564 962.460i 0.369908 0.545574i
\(147\) 876.051 95.2763i 0.491534 0.0534575i
\(148\) −320.434 + 34.8493i −0.177970 + 0.0193554i
\(149\) 214.676 316.623i 0.118033 0.174086i −0.764083 0.645118i \(-0.776808\pi\)
0.882116 + 0.471032i \(0.156119\pi\)
\(150\) −850.013 511.436i −0.462688 0.278390i
\(151\) 105.763 380.923i 0.0569990 0.205292i −0.929567 0.368652i \(-0.879819\pi\)
0.986567 + 0.163360i \(0.0522332\pi\)
\(152\) −596.993 2150.18i −0.318569 1.14738i
\(153\) 820.575 493.723i 0.433592 0.260884i
\(154\) −76.3485 + 1408.17i −0.0399502 + 0.736839i
\(155\) −722.945 + 243.588i −0.374634 + 0.126229i
\(156\) −52.0568 98.1895i −0.0267172 0.0503939i
\(157\) −1475.76 1737.40i −0.750180 0.883181i 0.246109 0.969242i \(-0.420848\pi\)
−0.996290 + 0.0860614i \(0.972572\pi\)
\(158\) −345.622 509.755i −0.174027 0.256670i
\(159\) −69.9627 1290.39i −0.0348956 0.643612i
\(160\) −70.5869 177.160i −0.0348774 0.0875356i
\(161\) 1086.58 + 502.703i 0.531889 + 0.246078i
\(162\) 238.434 52.4833i 0.115637 0.0254536i
\(163\) −981.275 + 1850.88i −0.471530 + 0.889400i 0.527672 + 0.849448i \(0.323065\pi\)
−0.999202 + 0.0399515i \(0.987280\pi\)
\(164\) 79.9834 487.877i 0.0380833 0.232298i
\(165\) −173.169 + 131.639i −0.0817040 + 0.0621097i
\(166\) −1163.40 + 538.247i −0.543960 + 0.251663i
\(167\) −1156.64 1095.62i −0.535947 0.507676i 0.371164 0.928567i \(-0.378959\pi\)
−0.907111 + 0.420891i \(0.861717\pi\)
\(168\) −255.267 1557.06i −0.117228 0.715059i
\(169\) 976.828 + 329.132i 0.444619 + 0.149810i
\(170\) −464.215 + 1165.09i −0.209433 + 0.525638i
\(171\) −699.541 + 662.640i −0.312838 + 0.296335i
\(172\) −404.557 307.536i −0.179344 0.136334i
\(173\) 493.422 + 108.610i 0.216845 + 0.0477312i 0.322064 0.946718i \(-0.395623\pi\)
−0.105219 + 0.994449i \(0.533554\pi\)
\(174\) 439.447 517.357i 0.191462 0.225406i
\(175\) 2752.11 + 299.310i 1.18880 + 0.129290i
\(176\) 1325.77 0.567805
\(177\) −1353.76 + 125.493i −0.574885 + 0.0532917i
\(178\) 4694.52 1.97679
\(179\) −2648.12 288.000i −1.10575 0.120258i −0.463019 0.886348i \(-0.653234\pi\)
−0.642733 + 0.766091i \(0.722199\pi\)
\(180\) −24.7161 + 29.0980i −0.0102346 + 0.0120491i
\(181\) 3818.74 + 840.569i 1.56820 + 0.345188i 0.912257 0.409619i \(-0.134338\pi\)
0.655947 + 0.754807i \(0.272269\pi\)
\(182\) 2067.72 + 1571.84i 0.842139 + 0.640177i
\(183\) 675.499 639.867i 0.272865 0.258472i
\(184\) 366.036 918.681i 0.146655 0.368076i
\(185\) 1101.11 + 371.007i 0.437595 + 0.147443i
\(186\) −285.387 1740.78i −0.112503 0.686238i
\(187\) −1432.37 1356.81i −0.560134 0.530587i
\(188\) 560.559 259.342i 0.217462 0.100609i
\(189\) −542.386 + 412.311i −0.208745 + 0.158684i
\(190\) 204.153 1245.28i 0.0779515 0.475483i
\(191\) 536.317 1011.60i 0.203176 0.383230i −0.760895 0.648875i \(-0.775240\pi\)
0.964071 + 0.265645i \(0.0855848\pi\)
\(192\) −1245.26 + 274.102i −0.468066 + 0.103029i
\(193\) −3056.06 1413.88i −1.13979 0.527325i −0.243111 0.969999i \(-0.578168\pi\)
−0.896683 + 0.442674i \(0.854030\pi\)
\(194\) 1299.13 + 3260.57i 0.480784 + 1.20668i
\(195\) 21.6896 + 400.040i 0.00796524 + 0.146910i
\(196\) −178.818 263.737i −0.0651670 0.0961141i
\(197\) 1529.84 + 1801.06i 0.553280 + 0.651372i 0.965712 0.259617i \(-0.0835962\pi\)
−0.412431 + 0.910989i \(0.635320\pi\)
\(198\) −235.601 444.391i −0.0845629 0.159503i
\(199\) −214.122 + 72.1461i −0.0762749 + 0.0257000i −0.357180 0.934035i \(-0.616262\pi\)
0.280905 + 0.959735i \(0.409365\pi\)
\(200\) 123.797 2283.31i 0.0437690 0.807271i
\(201\) −2461.39 + 1480.97i −0.863748 + 0.519700i
\(202\) −100.871 363.304i −0.0351349 0.126544i
\(203\) −506.775 + 1825.24i −0.175215 + 0.631067i
\(204\) −296.715 178.527i −0.101834 0.0612716i
\(205\) −1000.15 + 1475.11i −0.340750 + 0.502568i
\(206\) −596.835 + 64.9098i −0.201862 + 0.0219538i
\(207\) −424.508 + 46.1680i −0.142538 + 0.0155019i
\(208\) 1370.29 2021.02i 0.456790 0.673715i
\(209\) 1700.98 + 1023.44i 0.562962 + 0.338723i
\(210\) 238.704 859.735i 0.0784388 0.282511i
\(211\) −32.0837 115.555i −0.0104679 0.0377021i 0.958132 0.286328i \(-0.0924348\pi\)
−0.968600 + 0.248626i \(0.920021\pi\)
\(212\) −400.393 + 240.908i −0.129713 + 0.0780456i
\(213\) −48.6974 + 898.172i −0.0156652 + 0.288928i
\(214\) −3550.86 + 1196.42i −1.13426 + 0.382177i
\(215\) 858.083 + 1618.52i 0.272190 + 0.513404i
\(216\) 364.326 + 428.918i 0.114765 + 0.135112i
\(217\) 2762.57 + 4074.49i 0.864219 + 1.27463i
\(218\) 65.4518 + 1207.19i 0.0203346 + 0.375050i
\(219\) −428.394 1075.19i −0.132183 0.331755i
\(220\) 71.3853 + 33.0264i 0.0218764 + 0.0101211i
\(221\) −3548.81 + 781.151i −1.08017 + 0.237764i
\(222\) −1258.50 + 2373.78i −0.380473 + 0.717648i
\(223\) −1031.02 + 6288.92i −0.309605 + 1.88851i 0.131924 + 0.991260i \(0.457884\pi\)
−0.441529 + 0.897247i \(0.645564\pi\)
\(224\) −979.656 + 744.715i −0.292214 + 0.222136i
\(225\) −896.115 + 414.587i −0.265516 + 0.122841i
\(226\) 1261.60 + 1195.05i 0.371330 + 0.351743i
\(227\) −60.9946 372.051i −0.0178342 0.108784i 0.976409 0.215928i \(-0.0692776\pi\)
−0.994243 + 0.107144i \(0.965829\pi\)
\(228\) 330.179 + 111.250i 0.0959063 + 0.0323146i
\(229\) −1049.04 + 2632.90i −0.302719 + 0.759768i 0.696394 + 0.717660i \(0.254787\pi\)
−0.999113 + 0.0421079i \(0.986593\pi\)
\(230\) 405.993 384.577i 0.116393 0.110253i
\(231\) 1117.43 + 849.445i 0.318274 + 0.241945i
\(232\) 1528.11 + 336.362i 0.432436 + 0.0951863i
\(233\) 741.484 872.942i 0.208482 0.245444i −0.647976 0.761661i \(-0.724384\pi\)
0.856458 + 0.516217i \(0.172660\pi\)
\(234\) −920.949 100.159i −0.257283 0.0279813i
\(235\) −2226.52 −0.618052
\(236\) 269.382 + 411.233i 0.0743021 + 0.113428i
\(237\) −612.997 −0.168010
\(238\) 8045.48 + 874.999i 2.19122 + 0.238310i
\(239\) 2385.88 2808.87i 0.645731 0.760213i −0.337748 0.941237i \(-0.609665\pi\)
0.983479 + 0.181023i \(0.0579409\pi\)
\(240\) −819.206 180.321i −0.220331 0.0484986i
\(241\) −5298.70 4027.96i −1.41626 1.07661i −0.984647 0.174556i \(-0.944151\pi\)
−0.431615 0.902058i \(-0.642056\pi\)
\(242\) 2160.21 2046.26i 0.573817 0.543548i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −318.832 107.427i −0.0836521 0.0281857i
\(245\) 185.833 + 1133.53i 0.0484589 + 0.295586i
\(246\) −2991.85 2834.03i −0.775421 0.734518i
\(247\) 3318.24 1535.18i 0.854797 0.395471i
\(248\) 3237.07 2460.76i 0.828847 0.630073i
\(249\) −206.415 + 1259.07i −0.0525342 + 0.320444i
\(250\) 1295.81 2444.15i 0.327817 0.618328i
\(251\) −1157.63 + 254.813i −0.291110 + 0.0640782i −0.358125 0.933674i \(-0.616584\pi\)
0.0670144 + 0.997752i \(0.478653\pi\)
\(252\) 223.588 + 103.443i 0.0558917 + 0.0258583i
\(253\) 325.622 + 817.249i 0.0809157 + 0.203083i
\(254\) 301.390 + 5558.82i 0.0744524 + 1.37319i
\(255\) 700.530 + 1033.21i 0.172035 + 0.253733i
\(256\) 1059.75 + 1247.64i 0.258729 + 0.304599i
\(257\) −2215.64 4179.15i −0.537775 1.01435i −0.992328 0.123631i \(-0.960546\pi\)
0.454554 0.890719i \(-0.349799\pi\)
\(258\) −4014.22 + 1352.55i −0.968661 + 0.326380i
\(259\) 405.920 7486.75i 0.0973846 1.79615i
\(260\) 124.128 74.6855i 0.0296081 0.0178146i
\(261\) −180.749 651.000i −0.0428663 0.154390i
\(262\) −1629.87 + 5870.26i −0.384327 + 1.38422i
\(263\) −1587.51 955.174i −0.372206 0.223949i 0.317144 0.948377i \(-0.397276\pi\)
−0.689350 + 0.724429i \(0.742104\pi\)
\(264\) 650.647 959.632i 0.151684 0.223717i
\(265\) 1674.61 182.125i 0.388190 0.0422182i
\(266\) −8095.08 + 880.393i −1.86594 + 0.202934i
\(267\) 2622.18 3867.43i 0.601030 0.886453i
\(268\) 890.024 + 535.510i 0.202862 + 0.122058i
\(269\) −1578.47 + 5685.15i −0.357774 + 1.28859i 0.537573 + 0.843217i \(0.319341\pi\)
−0.895347 + 0.445368i \(0.853073\pi\)
\(270\) 85.1377 + 306.638i 0.0191900 + 0.0691163i
\(271\) 2766.20 1664.37i 0.620055 0.373075i −0.170597 0.985341i \(-0.554569\pi\)
0.790652 + 0.612266i \(0.209742\pi\)
\(272\) 411.900 7597.05i 0.0918203 1.69353i
\(273\) 2449.86 825.452i 0.543121 0.182999i
\(274\) −576.963 1088.27i −0.127210 0.239944i
\(275\) 1316.91 + 1550.38i 0.288773 + 0.339970i
\(276\) 86.6498 + 127.799i 0.0188975 + 0.0278717i
\(277\) 116.011 + 2139.70i 0.0251640 + 0.464123i 0.983775 + 0.179405i \(0.0574173\pi\)
−0.958611 + 0.284718i \(0.908100\pi\)
\(278\) 261.938 + 657.414i 0.0565107 + 0.141831i
\(279\) −1593.49 737.228i −0.341935 0.158196i
\(280\) 2008.63 442.134i 0.428710 0.0943662i
\(281\) −365.527 + 689.457i −0.0775997 + 0.146368i −0.919276 0.393614i \(-0.871224\pi\)
0.841676 + 0.539983i \(0.181569\pi\)
\(282\) 832.923 5080.61i 0.175886 1.07286i
\(283\) −2453.24 + 1864.90i −0.515299 + 0.391720i −0.830253 0.557387i \(-0.811804\pi\)
0.314954 + 0.949107i \(0.398011\pi\)
\(284\) 295.189 136.569i 0.0616769 0.0285348i
\(285\) −911.848 863.749i −0.189520 0.179523i
\(286\) 308.766 + 1883.39i 0.0638382 + 0.389396i
\(287\) 10898.3 + 3672.06i 2.24148 + 0.755243i
\(288\) 162.456 407.734i 0.0332389 0.0834234i
\(289\) −4653.12 + 4407.67i −0.947103 + 0.897144i
\(290\) 704.395 + 535.467i 0.142633 + 0.108427i
\(291\) 3411.76 + 750.986i 0.687289 + 0.151284i
\(292\) −270.934 + 318.968i −0.0542987 + 0.0639254i
\(293\) −3484.00 378.907i −0.694666 0.0755495i −0.246028 0.969263i \(-0.579125\pi\)
−0.448639 + 0.893713i \(0.648091\pi\)
\(294\) −2656.07 −0.526889
\(295\) −258.874 1753.17i −0.0510923 0.346013i
\(296\) −6193.17 −1.21612
\(297\) −497.695 54.1276i −0.0972364 0.0105751i
\(298\) −746.441 + 878.779i −0.145101 + 0.170826i
\(299\) 1582.38 + 348.309i 0.306059 + 0.0673686i
\(300\) 284.227 + 216.064i 0.0546996 + 0.0415816i
\(301\) 8581.99 8129.30i 1.64338 1.55669i
\(302\) −441.046 + 1106.94i −0.0840376 + 0.210919i
\(303\) −355.639 119.829i −0.0674288 0.0227194i
\(304\) 1238.46 + 7554.27i 0.233653 + 1.42522i
\(305\) 880.510 + 834.064i 0.165305 + 0.156585i
\(306\) −2619.69 + 1212.00i −0.489404 + 0.226422i
\(307\) −4015.32 + 3052.36i −0.746470 + 0.567452i −0.907777 0.419453i \(-0.862222\pi\)
0.161308 + 0.986904i \(0.448429\pi\)
\(308\) 82.1119 500.861i 0.0151908 0.0926597i
\(309\) −279.896 + 527.940i −0.0515299 + 0.0971956i
\(310\) 2245.63 494.301i 0.411430 0.0905627i
\(311\) −8584.36 3971.55i −1.56519 0.724134i −0.569959 0.821673i \(-0.693041\pi\)
−0.995232 + 0.0975388i \(0.968903\pi\)
\(312\) −790.383 1983.71i −0.143419 0.359954i
\(313\) 510.613 + 9417.70i 0.0922094 + 1.70070i 0.569528 + 0.821972i \(0.307126\pi\)
−0.477319 + 0.878730i \(0.658391\pi\)
\(314\) 3855.82 + 5686.91i 0.692982 + 1.02207i
\(315\) −574.934 676.864i −0.102838 0.121070i
\(316\) 103.825 + 195.836i 0.0184830 + 0.0348627i
\(317\) 1840.24 620.048i 0.326051 0.109859i −0.151516 0.988455i \(-0.548415\pi\)
0.477567 + 0.878596i \(0.341519\pi\)
\(318\) −210.874 + 3889.35i −0.0371863 + 0.685861i
\(319\) −1192.69 + 717.615i −0.209334 + 0.125952i
\(320\) −444.644 1601.46i −0.0776761 0.279764i
\(321\) −997.741 + 3593.54i −0.173484 + 0.624834i
\(322\) −3092.02 1860.41i −0.535130 0.321977i
\(323\) 6393.10 9429.12i 1.10131 1.62430i
\(324\) −87.3522 + 9.50013i −0.0149781 + 0.00162897i
\(325\) 3724.55 405.070i 0.635696 0.0691361i
\(326\) 3543.49 5226.25i 0.602011 0.887900i
\(327\) 1031.06 + 620.369i 0.174366 + 0.104913i
\(328\) 2541.33 9153.03i 0.427809 1.54083i
\(329\) 3843.68 + 13843.7i 0.644099 + 2.31984i
\(330\) 561.786 338.015i 0.0937130 0.0563853i
\(331\) −440.568 + 8125.80i −0.0731595 + 1.34935i 0.699548 + 0.714586i \(0.253385\pi\)
−0.772707 + 0.634762i \(0.781098\pi\)
\(332\) 437.201 147.310i 0.0722727 0.0243515i
\(333\) 1252.61 + 2362.68i 0.206134 + 0.388811i
\(334\) 3108.73 + 3659.88i 0.509288 + 0.599580i
\(335\) −2101.31 3099.20i −0.342707 0.505455i
\(336\) 293.040 + 5404.80i 0.0475793 + 0.877548i
\(337\) −3497.34 8777.67i −0.565319 1.41884i −0.882425 0.470453i \(-0.844090\pi\)
0.317106 0.948390i \(-0.397289\pi\)
\(338\) −2819.74 1304.55i −0.453768 0.209935i
\(339\) 1689.19 371.819i 0.270632 0.0595707i
\(340\) 211.429 398.798i 0.0337246 0.0636113i
\(341\) −585.205 + 3569.59i −0.0929344 + 0.566875i
\(342\) 2312.07 1757.59i 0.365562 0.277893i
\(343\) −1128.15 + 521.937i −0.177593 + 0.0821631i
\(344\) −7088.76 6714.83i −1.11105 1.05244i
\(345\) −90.0490 549.275i −0.0140524 0.0857158i
\(346\) −1443.11 486.240i −0.224225 0.0755504i
\(347\) −93.2139 + 233.949i −0.0144207 + 0.0361932i −0.936011 0.351971i \(-0.885511\pi\)
0.921590 + 0.388165i \(0.126891\pi\)
\(348\) −177.363 + 168.007i −0.0273208 + 0.0258796i
\(349\) −5143.40 3909.91i −0.788882 0.599693i 0.131228 0.991352i \(-0.458108\pi\)
−0.920110 + 0.391659i \(0.871901\pi\)
\(350\) −8148.97 1793.72i −1.24452 0.273939i
\(351\) −596.920 + 702.749i −0.0907728 + 0.106866i
\(352\) −898.936 97.7652i −0.136118 0.0148037i
\(353\) 9550.44 1.44000 0.719998 0.693976i \(-0.244143\pi\)
0.719998 + 0.693976i \(0.244143\pi\)
\(354\) 4097.34 + 65.1340i 0.615172 + 0.00977920i
\(355\) −1172.48 −0.175293
\(356\) −1679.67 182.675i −0.250062 0.0271959i
\(357\) 5214.74 6139.27i 0.773091 0.910153i
\(358\) 7841.04 + 1725.94i 1.15757 + 0.254801i
\(359\) −1148.96 873.418i −0.168913 0.128405i 0.517302 0.855803i \(-0.326936\pi\)
−0.686216 + 0.727398i \(0.740729\pi\)
\(360\) −532.562 + 504.470i −0.0779681 + 0.0738553i
\(361\) −1703.87 + 4276.39i −0.248414 + 0.623472i
\(362\) −11168.7 3763.16i −1.62158 0.546374i
\(363\) −479.133 2922.58i −0.0692782 0.422578i
\(364\) −678.650 642.852i −0.0977223 0.0925675i
\(365\) 1369.22 633.467i 0.196351 0.0908415i
\(366\) −2232.61 + 1697.18i −0.318853 + 0.242386i
\(367\) 1681.75 10258.2i 0.239200 1.45906i −0.544940 0.838475i \(-0.683448\pi\)
0.784141 0.620583i \(-0.213104\pi\)
\(368\) −1589.05 + 2997.26i −0.225094 + 0.424573i
\(369\) −4005.86 + 881.757i −0.565141 + 0.124397i
\(370\) −3178.49 1470.53i −0.446599 0.206619i
\(371\) −4023.28 10097.7i −0.563014 1.41306i
\(372\) 34.3714 + 633.944i 0.00479053 + 0.0883561i
\(373\) −5565.62 8208.68i −0.772593 1.13949i −0.986680 0.162674i \(-0.947988\pi\)
0.214087 0.976815i \(-0.431322\pi\)
\(374\) 3849.83 + 4532.37i 0.532272 + 0.626639i
\(375\) −1289.75 2432.72i −0.177606 0.335001i
\(376\) 11246.3 3789.31i 1.54251 0.519731i
\(377\) −138.792 + 2559.86i −0.0189605 + 0.349707i
\(378\) 1759.58 1058.71i 0.239427 0.144058i
\(379\) 205.528 + 740.243i 0.0278555 + 0.100326i 0.976171 0.217002i \(-0.0696279\pi\)
−0.948316 + 0.317329i \(0.897214\pi\)
\(380\) −121.501 + 437.607i −0.0164023 + 0.0590757i
\(381\) 4747.80 + 2856.66i 0.638417 + 0.384123i
\(382\) −1936.70 + 2856.42i −0.259398 + 0.382584i
\(383\) −3129.61 + 340.366i −0.417535 + 0.0454097i −0.314476 0.949266i \(-0.601829\pi\)
−0.103059 + 0.994675i \(0.532863\pi\)
\(384\) 4984.20 542.065i 0.662367 0.0720368i
\(385\) −1026.77 + 1514.37i −0.135919 + 0.200466i
\(386\) 8696.51 + 5232.52i 1.14674 + 0.689969i
\(387\) −1127.94 + 4062.47i −0.148156 + 0.533610i
\(388\) −337.943 1217.16i −0.0442177 0.159258i
\(389\) −7914.94 + 4762.26i −1.03163 + 0.620710i −0.927488 0.373853i \(-0.878037\pi\)
−0.104140 + 0.994563i \(0.533209\pi\)
\(390\) 65.3744 1205.76i 0.00848811 0.156554i
\(391\) 4784.24 1612.00i 0.618797 0.208497i
\(392\) −2867.80 5409.25i −0.369505 0.696961i
\(393\) 3925.64 + 4621.62i 0.503873 + 0.593206i
\(394\) −3997.11 5895.30i −0.511095 0.753809i
\(395\) −43.2591 797.867i −0.00551038 0.101633i
\(396\) 67.0041 + 168.168i 0.00850274 + 0.0213403i
\(397\) −4345.09 2010.25i −0.549305 0.254135i 0.125548 0.992087i \(-0.459931\pi\)
−0.674853 + 0.737952i \(0.735793\pi\)
\(398\) 665.112 146.402i 0.0837665 0.0184384i
\(399\) −3796.32 + 7160.63i −0.476326 + 0.898446i
\(400\) −1269.07 + 7740.96i −0.158633 + 0.967620i
\(401\) −2829.17 + 2150.68i −0.352324 + 0.267830i −0.766334 0.642443i \(-0.777921\pi\)
0.414009 + 0.910273i \(0.364128\pi\)
\(402\) 7858.01 3635.50i 0.974930 0.451051i
\(403\) 4836.68 + 4581.55i 0.597847 + 0.566311i
\(404\) 21.9539 + 133.913i 0.00270358 + 0.0164911i
\(405\) 300.169 + 101.139i 0.0368284 + 0.0124089i
\(406\) 2113.32 5304.05i 0.258331 0.648363i
\(407\) 3999.79 3788.80i 0.487130 0.461434i
\(408\) −5296.82 4026.54i −0.642725 0.488587i
\(409\) −6758.27 1487.61i −0.817054 0.179847i −0.213268 0.976994i \(-0.568411\pi\)
−0.603786 + 0.797147i \(0.706342\pi\)
\(410\) 3477.60 4094.14i 0.418893 0.493159i
\(411\) −1218.80 132.553i −0.146275 0.0159084i
\(412\) 216.069 0.0258373
\(413\) −10453.7 + 4636.11i −1.24550 + 0.552368i
\(414\) 1287.05 0.152790
\(415\) −1653.36 179.814i −0.195567 0.0212692i
\(416\) −1078.16 + 1269.30i −0.127070 + 0.149598i
\(417\) 687.897 + 151.418i 0.0807829 + 0.0177817i
\(418\) −4763.33 3620.99i −0.557374 0.423704i
\(419\) −7129.91 + 6753.81i −0.831310 + 0.787459i −0.979488 0.201502i \(-0.935418\pi\)
0.148178 + 0.988961i \(0.452659\pi\)
\(420\) −118.861 + 298.318i −0.0138091 + 0.0346582i
\(421\) 304.239 + 102.510i 0.0352202 + 0.0118671i 0.336856 0.941556i \(-0.390636\pi\)
−0.301636 + 0.953423i \(0.597533\pi\)
\(422\) 58.4793 + 356.708i 0.00674581 + 0.0411476i
\(423\) −3720.25 3524.01i −0.427624 0.405067i
\(424\) −8148.57 + 3769.93i −0.933325 + 0.431802i
\(425\) 9293.30 7064.58i 1.06068 0.806312i
\(426\) 438.616 2675.44i 0.0498850 0.304285i
\(427\) 3665.85 6914.53i 0.415464 0.783648i
\(428\) 1317.03 289.900i 0.148741 0.0327403i
\(429\) 1724.04 + 797.624i 0.194026 + 0.0897660i
\(430\) −2043.74 5129.40i −0.229204 0.575259i
\(431\) −56.3792 1039.85i −0.00630090 0.116213i −0.999992 0.00405950i \(-0.998708\pi\)
0.993691 0.112154i \(-0.0357749\pi\)
\(432\) −1083.39 1597.89i −0.120659 0.177959i
\(433\) −6266.98 7378.05i −0.695546 0.818861i 0.295078 0.955473i \(-0.404654\pi\)
−0.990625 + 0.136613i \(0.956378\pi\)
\(434\) −6950.04 13109.2i −0.768693 1.44991i
\(435\) 834.576 281.201i 0.0919882 0.0309944i
\(436\) 23.5563 434.470i 0.00258748 0.0477232i
\(437\) −4352.53 + 2618.83i −0.476452 + 0.286672i
\(438\) 933.268 + 3361.33i 0.101811 + 0.366691i
\(439\) 4213.10 15174.2i 0.458042 1.64972i −0.269012 0.963137i \(-0.586697\pi\)
0.727053 0.686581i \(-0.240889\pi\)
\(440\) 1294.96 + 779.150i 0.140306 + 0.0844194i
\(441\) −1483.58 + 2188.12i −0.160197 + 0.236273i
\(442\) 10888.3 1184.17i 1.17173 0.127433i
\(443\) 12803.0 1392.41i 1.37311 0.149335i 0.608361 0.793660i \(-0.291827\pi\)
0.764752 + 0.644325i \(0.222862\pi\)
\(444\) 542.651 800.351i 0.0580025 0.0855472i
\(445\) 5218.84 + 3140.07i 0.555947 + 0.334502i
\(446\) 5138.80 18508.3i 0.545582 1.96501i
\(447\) 307.020 + 1105.78i 0.0324866 + 0.117006i
\(448\) −9189.70 + 5529.26i −0.969135 + 0.583109i
\(449\) 84.6644 1561.54i 0.00889880 0.164129i −0.990706 0.136020i \(-0.956569\pi\)
0.999605 0.0281086i \(-0.00894841\pi\)
\(450\) 2820.25 950.253i 0.295440 0.0995453i
\(451\) 3958.27 + 7466.09i 0.413276 + 0.779522i
\(452\) −404.891 476.674i −0.0421337 0.0496037i
\(453\) 665.567 + 981.638i 0.0690311 + 0.101813i
\(454\) 61.5217 + 1134.70i 0.00635982 + 0.117300i
\(455\) 1247.28 + 3130.44i 0.128513 + 0.322544i
\(456\) 6075.80 + 2810.97i 0.623960 + 0.288674i
\(457\) −1874.01 + 412.500i −0.191821 + 0.0422230i −0.309842 0.950788i \(-0.600276\pi\)
0.118021 + 0.993011i \(0.462345\pi\)
\(458\) 4001.39 7547.43i 0.408237 0.770018i
\(459\) −464.795 + 2835.12i −0.0472653 + 0.288305i
\(460\) −160.226 + 121.801i −0.0162404 + 0.0123456i
\(461\) 15672.4 7250.85i 1.58338 0.732550i 0.586387 0.810031i \(-0.300550\pi\)
0.996994 + 0.0774809i \(0.0246877\pi\)
\(462\) −3071.47 2909.45i −0.309302 0.292987i
\(463\) −1923.68 11733.9i −0.193090 1.17780i −0.888393 0.459083i \(-0.848178\pi\)
0.695303 0.718717i \(-0.255270\pi\)
\(464\) −5086.62 1713.88i −0.508923 0.171476i
\(465\) 847.112 2126.09i 0.0844815 0.212032i
\(466\) −2506.28 + 2374.07i −0.249144 + 0.236002i
\(467\) 6580.81 + 5002.60i 0.652084 + 0.495702i 0.878134 0.478414i \(-0.158788\pi\)
−0.226050 + 0.974116i \(0.572581\pi\)
\(468\) 325.611 + 71.6725i 0.0321611 + 0.00707919i
\(469\) −15642.1 + 18415.3i −1.54005 + 1.81309i
\(470\) 6671.61 + 725.582i 0.654763 + 0.0712098i
\(471\) 6838.69 0.669024
\(472\) 4291.31 + 8414.80i 0.418482 + 0.820598i
\(473\) 8686.13 0.844374
\(474\) 1836.80 + 199.764i 0.177990 + 0.0193575i
\(475\) −7603.94 + 8952.05i −0.734511 + 0.864733i
\(476\) −2844.57 626.136i −0.273909 0.0602918i
\(477\) 3086.33 + 2346.17i 0.296254 + 0.225207i
\(478\) −8064.48 + 7639.08i −0.771675 + 0.730969i
\(479\) −7376.43 + 18513.5i −0.703628 + 1.76597i −0.0631413 + 0.998005i \(0.520112\pi\)
−0.640487 + 0.767969i \(0.721267\pi\)
\(480\) 542.164 + 182.676i 0.0515548 + 0.0173708i
\(481\) −1641.61 10013.4i −0.155615 0.949209i
\(482\) 14564.5 + 13796.3i 1.37634 + 1.30374i
\(483\) −3259.73 + 1508.11i −0.307086 + 0.142073i
\(484\) −852.533 + 648.079i −0.0800651 + 0.0608639i
\(485\) −736.704 + 4493.69i −0.0689732 + 0.420718i
\(486\) −343.074 + 647.107i −0.0320209 + 0.0603979i
\(487\) −2772.46 + 610.265i −0.257972 + 0.0567838i −0.342073 0.939673i \(-0.611129\pi\)
0.0841015 + 0.996457i \(0.473198\pi\)
\(488\) −5866.99 2714.36i −0.544234 0.251790i
\(489\) −2326.22 5838.38i −0.215124 0.539919i
\(490\) −187.439 3457.10i −0.0172809 0.318727i
\(491\) −144.663 213.362i −0.0132964 0.0196108i 0.820983 0.570953i \(-0.193426\pi\)
−0.834279 + 0.551342i \(0.814116\pi\)
\(492\) 960.184 + 1130.42i 0.0879847 + 0.103584i
\(493\) 3741.59 + 7057.39i 0.341811 + 0.644724i
\(494\) −10443.2 + 3518.71i −0.951134 + 0.320475i
\(495\) 35.3294 651.612i 0.00320795 0.0591672i
\(496\) −11952.2 + 7191.41i −1.08200 + 0.651016i
\(497\) 2024.07 + 7290.05i 0.182680 + 0.657954i
\(498\) 1028.82 3705.46i 0.0925750 0.333425i
\(499\) −9868.93 5937.94i −0.885359 0.532703i −0.00125822 0.999999i \(-0.500401\pi\)
−0.884101 + 0.467296i \(0.845228\pi\)
\(500\) −558.739 + 824.078i −0.0499751 + 0.0737078i
\(501\) 4751.50 516.756i 0.423715 0.0460818i
\(502\) 3551.78 386.279i 0.315784 0.0343436i
\(503\) −10604.3 + 15640.2i −0.940009 + 1.38641i −0.0177478 + 0.999842i \(0.505650\pi\)
−0.922261 + 0.386567i \(0.873661\pi\)
\(504\) 4055.97 + 2440.40i 0.358467 + 0.215682i
\(505\) 130.870 471.350i 0.0115319 0.0415343i
\(506\) −709.376 2554.94i −0.0623234 0.224468i
\(507\) −2649.71 + 1594.28i −0.232106 + 0.139654i
\(508\) 108.471 2000.63i 0.00947368 0.174732i
\(509\) 302.396 101.889i 0.0263329 0.00887259i −0.306104 0.951998i \(-0.599026\pi\)
0.332437 + 0.943125i \(0.392129\pi\)
\(510\) −1762.39 3324.21i −0.153019 0.288625i
\(511\) −6302.35 7419.70i −0.545596 0.642325i
\(512\) 4733.94 + 6982.04i 0.408619 + 0.602667i
\(513\) −156.498 2886.44i −0.0134690 0.248420i
\(514\) 5277.11 + 13244.6i 0.452847 + 1.13656i
\(515\) −706.910 327.052i −0.0604858 0.0279837i
\(516\) 1488.89 327.730i 0.127025 0.0279603i
\(517\) −4945.09 + 9327.42i −0.420667 + 0.793462i
\(518\) −3656.10 + 22301.2i −0.310115 + 1.89162i
\(519\) −1206.64 + 917.263i −0.102053 + 0.0775788i
\(520\) 2526.19 1168.74i 0.213040 0.0985627i
\(521\) −461.592 437.244i −0.0388152 0.0367677i 0.668046 0.744120i \(-0.267131\pi\)
−0.706861 + 0.707352i \(0.749890\pi\)
\(522\) 329.454 + 2009.58i 0.0276241 + 0.168500i
\(523\) 6833.80 + 2302.58i 0.571360 + 0.192514i 0.590127 0.807310i \(-0.299078\pi\)
−0.0187672 + 0.999824i \(0.505974\pi\)
\(524\) 811.581 2036.91i 0.0676604 0.169815i
\(525\) −6029.41 + 5711.36i −0.501228 + 0.474789i
\(526\) 4445.59 + 3379.45i 0.368511 + 0.280135i
\(527\) 20273.0 + 4462.42i 1.67572 + 0.368854i
\(528\) −2574.86 + 3031.36i −0.212228 + 0.249854i
\(529\) 9857.78 + 1072.10i 0.810206 + 0.0881153i
\(530\) −5077.20 −0.416112
\(531\) 2342.28 3339.08i 0.191424 0.272888i
\(532\) 2930.62 0.238832
\(533\) 15472.6 + 1682.75i 1.25740 + 0.136750i
\(534\) −9117.51 + 10734.0i −0.738864 + 0.869858i
\(535\) −4747.70 1045.05i −0.383666 0.0844512i
\(536\) 15888.3 + 12078.0i 1.28036 + 0.973302i
\(537\) 5801.57 5495.54i 0.466213 0.441620i
\(538\) 6582.46 16520.7i 0.527491 1.32390i
\(539\) 5161.36 + 1739.06i 0.412459 + 0.138974i
\(540\) −18.5296 113.026i −0.00147665 0.00900714i
\(541\) −305.035 288.944i −0.0242411 0.0229624i 0.675483 0.737376i \(-0.263935\pi\)
−0.699724 + 0.714413i \(0.746694\pi\)
\(542\) −8831.12 + 4085.71i −0.699869 + 0.323794i
\(543\) −9338.55 + 7098.98i −0.738040 + 0.561043i
\(544\) −839.511 + 5120.79i −0.0661650 + 0.403589i
\(545\) −734.700 + 1385.79i −0.0577451 + 0.108919i
\(546\) −7609.82 + 1675.05i −0.596465 + 0.131292i
\(547\) −4004.00 1852.45i −0.312978 0.144799i 0.257111 0.966382i \(-0.417229\pi\)
−0.570089 + 0.821583i \(0.693091\pi\)
\(548\) 164.086 + 411.825i 0.0127909 + 0.0321028i
\(549\) 151.120 + 2787.24i 0.0117480 + 0.216679i
\(550\) −3440.78 5074.77i −0.266755 0.393434i
\(551\) −5203.13 6125.60i −0.402288 0.473610i
\(552\) 1389.65 + 2621.16i 0.107151 + 0.202109i
\(553\) −4886.15 + 1646.34i −0.375733 + 0.126599i
\(554\) 349.669 6449.27i 0.0268159 0.494590i
\(555\) −2986.83 + 1797.12i −0.228439 + 0.137447i
\(556\) −68.1379 245.410i −0.00519728 0.0187189i
\(557\) −867.976 + 3126.17i −0.0660275 + 0.237810i −0.989199 0.146579i \(-0.953174\pi\)
0.923171 + 0.384388i \(0.125588\pi\)
\(558\) 4534.54 + 2728.34i 0.344018 + 0.206989i
\(559\) 8977.81 13241.3i 0.679286 1.00187i
\(560\) −7014.12 + 762.832i −0.529287 + 0.0575635i
\(561\) 5884.21 639.947i 0.442837 0.0481614i
\(562\) 1319.96 1946.79i 0.0990729 0.146122i
\(563\) −200.593 120.693i −0.0150160 0.00903482i 0.508026 0.861342i \(-0.330375\pi\)
−0.523042 + 0.852307i \(0.675203\pi\)
\(564\) −495.712 + 1785.39i −0.0370093 + 0.133295i
\(565\) 603.160 + 2172.39i 0.0449117 + 0.161758i
\(566\) 7958.68 4788.58i 0.591040 0.355617i
\(567\) 110.656 2040.93i 0.00819598 0.151166i
\(568\) 5922.27 1995.44i 0.437487 0.147407i
\(569\) 7587.51 + 14311.6i 0.559024 + 1.05443i 0.988481 + 0.151344i \(0.0483602\pi\)
−0.429457 + 0.903087i \(0.641295\pi\)
\(570\) 2450.81 + 2885.32i 0.180093 + 0.212022i
\(571\) 5790.07 + 8539.71i 0.424355 + 0.625877i 0.978427 0.206592i \(-0.0662371\pi\)
−0.554072 + 0.832469i \(0.686927\pi\)
\(572\) −37.1872 685.878i −0.00271832 0.0501364i
\(573\) 1271.40 + 3190.97i 0.0926937 + 0.232644i
\(574\) −31459.2 14554.6i −2.28760 1.05836i
\(575\) −5083.48 + 1118.96i −0.368688 + 0.0811544i
\(576\) 1791.76 3379.61i 0.129612 0.244474i
\(577\) −2125.08 + 12962.4i −0.153325 + 0.935239i 0.792336 + 0.610084i \(0.208864\pi\)
−0.945661 + 0.325154i \(0.894584\pi\)
\(578\) 15379.1 11690.9i 1.10672 0.841310i
\(579\) 9168.19 4241.65i 0.658060 0.304451i
\(580\) −231.191 218.996i −0.0165512 0.0156781i
\(581\) 1736.20 + 10590.4i 0.123976 + 0.756218i
\(582\) −9978.37 3362.10i −0.710682 0.239457i
\(583\) 2956.33 7419.83i 0.210015 0.527097i
\(584\) −5837.88 + 5529.94i −0.413653 + 0.391833i
\(585\) −956.811 727.349i −0.0676227 0.0514054i
\(586\) 10316.1 + 2270.74i 0.727223 + 0.160074i
\(587\) 8039.84 9465.24i 0.565315 0.665540i −0.403021 0.915191i \(-0.632040\pi\)
0.968336 + 0.249650i \(0.0803157\pi\)
\(588\) 950.324 + 103.354i 0.0666509 + 0.00724872i
\(589\) −20886.3 −1.46113
\(590\) 204.371 + 5337.62i 0.0142607 + 0.372452i
\(591\) −7089.28 −0.493425
\(592\) 21120.9 + 2297.03i 1.46632 + 0.159472i
\(593\) 4612.67 5430.46i 0.319426 0.376058i −0.578891 0.815405i \(-0.696514\pi\)
0.898317 + 0.439347i \(0.144790\pi\)
\(594\) 1473.67 + 324.379i 0.101794 + 0.0224065i
\(595\) 8358.78 + 6354.18i 0.575927 + 0.437808i
\(596\) 301.267 285.375i 0.0207053 0.0196131i
\(597\) 250.898 629.706i 0.0172003 0.0431695i
\(598\) −4627.99 1559.35i −0.316476 0.106633i
\(599\) −3275.92 19982.2i −0.223457 1.36302i −0.825428 0.564507i \(-0.809066\pi\)
0.601972 0.798517i \(-0.294382\pi\)
\(600\) 4980.32 + 4717.61i 0.338868 + 0.320992i
\(601\) 10701.1 4950.85i 0.726300 0.336022i −0.0216607 0.999765i \(-0.506895\pi\)
0.747960 + 0.663743i \(0.231033\pi\)
\(602\) −28364.5 + 21562.1i −1.92035 + 1.45981i
\(603\) 1394.20 8504.22i 0.0941560 0.574326i
\(604\) 200.877 378.894i 0.0135324 0.0255248i
\(605\) 3770.18 829.879i 0.253355 0.0557676i
\(606\) 1026.60 + 474.954i 0.0688162 + 0.0318378i
\(607\) −7025.65 17633.1i −0.469790 1.17908i −0.952835 0.303488i \(-0.901849\pi\)
0.483045 0.875595i \(-0.339531\pi\)
\(608\) −282.667 5213.49i −0.0188547 0.347755i
\(609\) −3189.14 4703.63i −0.212201 0.312974i
\(610\) −2366.58 2786.15i −0.157082 0.184931i
\(611\) 9107.73 + 17179.0i 0.603043 + 1.13746i
\(612\) 984.468 331.706i 0.0650241 0.0219092i
\(613\) −123.464 + 2277.16i −0.00813486 + 0.150039i 0.991644 + 0.129005i \(0.0411784\pi\)
−0.999779 + 0.0210334i \(0.993304\pi\)
\(614\) 13026.3 7837.67i 0.856188 0.515151i
\(615\) −1430.37 5151.74i −0.0937858 0.337786i
\(616\) 2608.96 9396.61i 0.170646 0.614611i
\(617\) 14091.7 + 8478.72i 0.919469 + 0.553226i 0.894799 0.446469i \(-0.147319\pi\)
0.0246702 + 0.999696i \(0.492146\pi\)
\(618\) 1010.73 1490.72i 0.0657891 0.0970317i
\(619\) −21860.3 + 2377.45i −1.41945 + 0.154375i −0.785434 0.618945i \(-0.787560\pi\)
−0.634016 + 0.773320i \(0.718595\pi\)
\(620\) −822.706 + 89.4747i −0.0532914 + 0.00579579i
\(621\) 718.899 1060.30i 0.0464548 0.0685157i
\(622\) 24428.2 + 14697.9i 1.57473 + 0.947482i
\(623\) 10514.4 37869.5i 0.676165 2.43533i
\(624\) 1959.73 + 7058.29i 0.125724 + 0.452817i
\(625\) −8675.14 + 5219.66i −0.555209 + 0.334058i
\(626\) 1539.04 28385.9i 0.0982624 1.81234i
\(627\) −5643.65 + 1901.57i −0.359467 + 0.121119i
\(628\) −1158.29 2184.77i −0.0736002 0.138825i
\(629\) −20468.2 24097.1i −1.29749 1.52752i
\(630\) 1502.17 + 2215.53i 0.0949966 + 0.140110i
\(631\) −593.061 10938.4i −0.0374158 0.690094i −0.955731 0.294243i \(-0.904932\pi\)
0.918315 0.395851i \(-0.129550\pi\)
\(632\) 1576.39 + 3956.44i 0.0992175 + 0.249017i
\(633\) 326.527 + 151.067i 0.0205028 + 0.00948561i
\(634\) −5716.20 + 1258.23i −0.358075 + 0.0788182i
\(635\) −3383.13 + 6381.25i −0.211426 + 0.398791i
\(636\) 226.793 1383.38i 0.0141398 0.0862491i
\(637\) 7985.73 6070.59i 0.496713 0.377591i
\(638\) 3807.65 1761.61i 0.236280 0.109315i
\(639\) −1959.08 1855.74i −0.121283 0.114886i
\(640\) 1057.28 + 6449.11i 0.0653009 + 0.398318i
\(641\) −4831.60 1627.95i −0.297717 0.100313i 0.166479 0.986045i \(-0.446760\pi\)
−0.464196 + 0.885732i \(0.653657\pi\)
\(642\) 4160.73 10442.6i 0.255780 0.641960i
\(643\) −3880.86 + 3676.14i −0.238019 + 0.225463i −0.797406 0.603443i \(-0.793795\pi\)
0.559387 + 0.828906i \(0.311036\pi\)
\(644\) 1033.91 + 785.959i 0.0632637 + 0.0480918i
\(645\) −5367.25 1181.42i −0.327651 0.0721215i
\(646\) −22229.2 + 26170.3i −1.35387 + 1.59389i
\(647\) −16824.5 1829.77i −1.02232 0.111183i −0.418425 0.908251i \(-0.637418\pi\)
−0.603890 + 0.797068i \(0.706383\pi\)
\(648\) −1688.29 −0.102349
\(649\) −7919.42 2809.30i −0.478990 0.169915i
\(650\) −11292.4 −0.681420
\(651\) −14681.6 1596.72i −0.883898 0.0961297i
\(652\) −1471.20 + 1732.03i −0.0883691 + 0.104036i
\(653\) −10203.9 2246.04i −0.611498 0.134601i −0.101585 0.994827i \(-0.532391\pi\)
−0.509913 + 0.860226i \(0.670322\pi\)
\(654\) −2887.33 2194.89i −0.172636 0.131234i
\(655\) −5738.39 + 5435.70i −0.342317 + 0.324260i
\(656\) −12061.6 + 30272.5i −0.717878 + 1.80174i
\(657\) 3290.41 + 1108.67i 0.195390 + 0.0658345i
\(658\) −7005.91 42734.1i −0.415074 2.53184i
\(659\) −23007.7 21794.1i −1.36002 1.28828i −0.920872 0.389866i \(-0.872521\pi\)
−0.439149 0.898414i \(-0.644720\pi\)
\(660\) −214.156 + 99.0791i −0.0126303 + 0.00584341i
\(661\) 5344.24 4062.59i 0.314473 0.239056i −0.436016 0.899939i \(-0.643611\pi\)
0.750489 + 0.660882i \(0.229818\pi\)
\(662\) 3968.17 24204.8i 0.232972 1.42107i
\(663\) 5106.25 9631.41i 0.299111 0.564183i
\(664\) 8657.22 1905.60i 0.505972 0.111373i
\(665\) −9588.07 4435.91i −0.559112 0.258673i
\(666\) −2983.41 7487.80i −0.173581 0.435655i
\(667\) −192.828 3556.51i −0.0111939 0.206459i
\(668\) −969.867 1430.45i −0.0561756 0.0828528i
\(669\) −12377.1 14571.5i −0.715287 0.842101i
\(670\) 5286.45 + 9971.30i 0.304826 + 0.574963i
\(671\) 5449.70 1836.22i 0.313537 0.105643i
\(672\) 199.867 3686.33i 0.0114733 0.211612i
\(673\) −1126.77 + 677.958i −0.0645378 + 0.0388311i −0.547457 0.836834i \(-0.684404\pi\)
0.482919 + 0.875665i \(0.339576\pi\)
\(674\) 7619.06 + 27441.4i 0.435423 + 1.56825i
\(675\) 792.451 2854.15i 0.0451873 0.162750i
\(676\) 958.119 + 576.481i 0.0545129 + 0.0327993i
\(677\) 10120.5 14926.6i 0.574536 0.847377i −0.423757 0.905776i \(-0.639289\pi\)
0.998293 + 0.0583986i \(0.0185994\pi\)
\(678\) −5182.71 + 563.654i −0.293571 + 0.0319277i
\(679\) 29211.9 3176.98i 1.65103 0.179560i
\(680\) 4867.09 7178.41i 0.274477 0.404823i
\(681\) 969.151 + 583.119i 0.0545344 + 0.0328123i
\(682\) 2916.79 10505.3i 0.163768 0.589838i
\(683\) 4158.15 + 14976.3i 0.232953 + 0.839022i 0.983909 + 0.178670i \(0.0571793\pi\)
−0.750956 + 0.660353i \(0.770407\pi\)
\(684\) −895.632 + 538.884i −0.0500663 + 0.0301239i
\(685\) 86.5180 1595.73i 0.00482581 0.0890069i
\(686\) 3550.51 1196.30i 0.197608 0.0665818i
\(687\) −3982.68 7512.13i −0.221177 0.417184i
\(688\) 21684.6 + 25529.1i 1.20163 + 1.41466i
\(689\) −8255.29 12175.6i −0.456461 0.673230i
\(690\) 90.8271 + 1675.21i 0.00501120 + 0.0924262i
\(691\) 3261.22 + 8185.06i 0.179541 + 0.450614i 0.991011 0.133780i \(-0.0427116\pi\)
−0.811470 + 0.584394i \(0.801332\pi\)
\(692\) 497.413 + 230.128i 0.0273249 + 0.0126418i
\(693\) −4112.46 + 905.222i −0.225425 + 0.0496198i
\(694\) 355.548 670.635i 0.0194473 0.0366815i
\(695\) −148.538 + 906.042i −0.00810701 + 0.0494505i
\(696\) −3736.91 + 2840.73i −0.203516 + 0.154709i
\(697\) 44012.7 20362.4i 2.39182 1.10657i
\(698\) 14137.7 + 13391.9i 0.766646 + 0.726205i
\(699\) 555.891 + 3390.79i 0.0300797 + 0.183478i
\(700\) 2845.84 + 958.876i 0.153661 + 0.0517745i
\(701\) 11050.2 27733.8i 0.595376 1.49428i −0.254379 0.967105i \(-0.581871\pi\)
0.849755 0.527177i \(-0.176750\pi\)
\(702\) 2017.64 1911.21i 0.108477 0.102755i
\(703\) 25325.0 + 19251.6i 1.35868 + 1.03284i
\(704\) −7696.46 1694.12i −0.412033 0.0906953i
\(705\) 4324.26 5090.91i 0.231009 0.271964i
\(706\) −28617.2 3112.31i −1.52553 0.165911i
\(707\) −3156.60 −0.167915
\(708\) −1463.46 182.741i −0.0776841 0.00970034i
\(709\) −10202.1 −0.540404 −0.270202 0.962804i \(-0.587090\pi\)
−0.270202 + 0.962804i \(0.587090\pi\)
\(710\) 3513.26 + 382.090i 0.185705 + 0.0201966i
\(711\) 1190.54 1401.61i 0.0627969 0.0739303i
\(712\) −31704.7 6978.73i −1.66880 0.367330i
\(713\) −7368.60 5601.47i −0.387036 0.294217i
\(714\) −17626.3 + 16696.5i −0.923875 + 0.875141i
\(715\) −916.509 + 2300.27i −0.0479378 + 0.120315i
\(716\) −2738.31 922.643i −0.142926 0.0481575i
\(717\) 1788.70 + 10910.6i 0.0931661 + 0.568288i
\(718\) 3158.15 + 2991.56i 0.164152 + 0.155493i
\(719\) 12512.9 5789.10i 0.649031 0.300274i −0.0676143 0.997712i \(-0.521539\pi\)
0.716645 + 0.697438i \(0.245677\pi\)
\(720\) 2003.33 1522.89i 0.103694 0.0788261i
\(721\) −813.133 + 4959.89i −0.0420009 + 0.256194i
\(722\) 6499.12 12258.6i 0.335003 0.631883i
\(723\) 19500.8 4292.45i 1.00310 0.220799i
\(724\) 3849.63 + 1781.03i 0.197611 + 0.0914247i
\(725\) −3048.36 7650.82i −0.156156 0.391923i
\(726\) 483.274 + 8913.46i 0.0247052 + 0.455660i
\(727\) −2410.73 3555.57i −0.122984 0.181387i 0.761213 0.648502i \(-0.224604\pi\)
−0.884197 + 0.467114i \(0.845294\pi\)
\(728\) −11627.8 13689.3i −0.591970 0.696920i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −4309.19 + 1451.94i −0.218480 + 0.0736144i
\(731\) 2698.67 49774.1i 0.136544 2.51841i
\(732\) 864.852 520.364i 0.0436692 0.0262749i
\(733\) −3237.33 11659.8i −0.163129 0.587537i −0.999240 0.0389771i \(-0.987590\pi\)
0.836111 0.548560i \(-0.184824\pi\)
\(734\) −8382.20 + 30189.9i −0.421516 + 1.51816i
\(735\) −2952.72 1776.59i −0.148181 0.0891573i
\(736\) 1298.47 1915.11i 0.0650304 0.0959127i
\(737\) −17650.3 + 1919.58i −0.882165 + 0.0959412i
\(738\) 12290.6 1336.69i 0.613041 0.0666722i
\(739\) 2910.96 4293.34i 0.144900 0.213712i −0.748312 0.663347i \(-0.769135\pi\)
0.893213 + 0.449635i \(0.148446\pi\)
\(740\) 1080.02 + 649.826i 0.0536517 + 0.0322812i
\(741\) −2934.38 + 10568.7i −0.145475 + 0.523955i
\(742\) 8764.83 + 31568.1i 0.433648 + 1.56186i
\(743\) −20919.4 + 12586.8i −1.03292 + 0.621487i −0.927841 0.372977i \(-0.878337\pi\)
−0.105078 + 0.994464i \(0.533509\pi\)
\(744\) −660.418 + 12180.7i −0.0325431 + 0.600223i
\(745\) −1417.61 + 477.647i −0.0697141 + 0.0234894i
\(746\) 14001.9 + 26410.5i 0.687195 + 1.29619i
\(747\) −2477.97 2917.29i −0.121371 0.142889i
\(748\) −1201.08 1771.45i −0.0587108 0.0865919i
\(749\) 1698.31 + 31323.5i 0.0828504 + 1.52809i
\(750\) 3071.86 + 7709.79i 0.149558 + 0.375362i
\(751\) 27512.2 + 12728.5i 1.33680 + 0.618469i 0.952443 0.304717i \(-0.0985618\pi\)
0.384355 + 0.923185i \(0.374424\pi\)
\(752\) −39759.2 + 8751.65i −1.92802 + 0.424388i
\(753\) 1665.67 3141.78i 0.0806112 0.152049i
\(754\) 1250.09 7625.20i 0.0603787 0.368294i
\(755\) −1230.72 + 935.566i −0.0593250 + 0.0450977i
\(756\) −670.764 + 310.328i −0.0322691 + 0.0149293i
\(757\) −19273.3 18256.7i −0.925365 0.876552i 0.0672654 0.997735i \(-0.478573\pi\)
−0.992630 + 0.121183i \(0.961331\pi\)
\(758\) −374.617 2285.06i −0.0179508 0.109495i
\(759\) −2501.04 842.698i −0.119607 0.0403004i
\(760\) −3229.94 + 8106.54i −0.154161 + 0.386915i
\(761\) 5204.83 4930.28i 0.247931 0.234852i −0.553635 0.832760i \(-0.686760\pi\)
0.801565 + 0.597907i \(0.204001\pi\)
\(762\) −13295.5 10107.0i −0.632081 0.480495i
\(763\) 9884.65 + 2175.78i 0.469002 + 0.103235i
\(764\) 804.087 946.644i 0.0380770 0.0448277i
\(765\) −3722.95 404.895i −0.175952 0.0191360i
\(766\) 9488.59 0.447567
\(767\) −12467.9 + 9168.84i −0.586948 + 0.431640i
\(768\) −4910.92 −0.230739
\(769\) 25215.8 + 2742.38i 1.18245 + 0.128599i 0.678147 0.734927i \(-0.262783\pi\)
0.504304 + 0.863526i \(0.331749\pi\)
\(770\) 3570.14 4203.10i 0.167090 0.196713i
\(771\)