Properties

Label 105.4.s.a.26.7
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.7
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20225 - 0.694119i) q^{2} +(3.08234 - 4.18320i) q^{3} +(-3.03640 - 5.25919i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-6.60938 + 2.88975i) q^{6} +(-11.1211 - 14.8095i) q^{7} +19.5364i q^{8} +(-7.99841 - 25.7881i) q^{9} +O(q^{10})\) \(q+(-1.20225 - 0.694119i) q^{2} +(3.08234 - 4.18320i) q^{3} +(-3.03640 - 5.25919i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-6.60938 + 2.88975i) q^{6} +(-11.1211 - 14.8095i) q^{7} +19.5364i q^{8} +(-7.99841 - 25.7881i) q^{9} +(6.01125 - 3.47060i) q^{10} +(-11.5490 + 6.66781i) q^{11} +(-31.3595 - 3.50873i) q^{12} +27.3633i q^{13} +(3.09083 + 25.5241i) q^{14} +(10.4080 + 23.8049i) q^{15} +(-10.7306 + 18.5859i) q^{16} +(-8.19960 - 14.2021i) q^{17} +(-8.28393 + 36.5556i) q^{18} +(3.26555 + 1.88537i) q^{19} +30.3640 q^{20} +(-96.2301 + 0.874166i) q^{21} +18.5130 q^{22} +(-171.457 - 98.9905i) q^{23} +(81.7247 + 60.2177i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(18.9934 - 32.8976i) q^{26} +(-132.531 - 46.0286i) q^{27} +(-44.1177 + 103.456i) q^{28} -68.2057i q^{29} +(4.01048 - 35.8438i) q^{30} +(-4.82091 + 2.78335i) q^{31} +(161.154 - 93.0422i) q^{32} +(-7.70504 + 68.8642i) q^{33} +22.7660i q^{34} +(91.9297 - 11.1322i) q^{35} +(-111.338 + 120.368i) q^{36} +(125.414 - 217.224i) q^{37} +(-2.61734 - 4.53337i) q^{38} +(114.466 + 84.3430i) q^{39} +(-84.5951 - 48.8410i) q^{40} +113.675 q^{41} +(116.299 + 65.7442i) q^{42} +15.9752 q^{43} +(70.1346 + 40.4922i) q^{44} +(131.662 + 29.8361i) q^{45} +(137.422 + 238.023i) q^{46} +(199.709 - 345.907i) q^{47} +(44.6735 + 102.176i) q^{48} +(-95.6411 + 329.396i) q^{49} +34.7060i q^{50} +(-84.6843 - 9.47511i) q^{51} +(143.909 - 83.0859i) q^{52} +(557.261 - 321.735i) q^{53} +(127.386 + 147.330i) q^{54} -66.6781i q^{55} +(289.324 - 217.267i) q^{56} +(17.9524 - 7.84914i) q^{57} +(-47.3429 + 82.0003i) q^{58} +(-254.309 - 440.476i) q^{59} +(93.5920 - 127.019i) q^{60} +(315.897 + 182.383i) q^{61} +7.72791 q^{62} +(-292.957 + 405.245i) q^{63} -86.6401 q^{64} +(-118.487 - 68.4083i) q^{65} +(57.0633 - 77.4437i) q^{66} +(-528.013 - 914.545i) q^{67} +(-49.7945 + 86.2465i) q^{68} +(-942.584 + 412.116i) q^{69} +(-118.250 - 50.4265i) q^{70} +761.859i q^{71} +(503.806 - 156.260i) q^{72} +(399.076 - 230.406i) q^{73} +(-301.559 + 174.105i) q^{74} +(-129.098 - 14.4445i) q^{75} -22.8989i q^{76} +(227.184 + 96.8808i) q^{77} +(-79.0731 - 180.855i) q^{78} +(-392.931 + 680.577i) q^{79} +(-53.6529 - 92.9296i) q^{80} +(-601.051 + 412.527i) q^{81} +(-136.666 - 78.9042i) q^{82} -1281.97 q^{83} +(296.790 + 503.439i) q^{84} +81.9960 q^{85} +(-19.2061 - 11.0887i) q^{86} +(-285.319 - 210.233i) q^{87} +(-130.265 - 225.625i) q^{88} +(111.389 - 192.931i) q^{89} +(-137.580 - 127.259i) q^{90} +(405.237 - 304.311i) q^{91} +1202.30i q^{92} +(-3.21632 + 28.7461i) q^{93} +(-480.201 + 277.244i) q^{94} +(-16.3278 + 9.42685i) q^{95} +(107.516 - 960.927i) q^{96} -1510.37i q^{97} +(343.625 - 329.630i) q^{98} +(264.324 + 244.494i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20225 0.694119i −0.425059 0.245408i 0.272180 0.962246i \(-0.412255\pi\)
−0.697240 + 0.716838i \(0.745589\pi\)
\(3\) 3.08234 4.18320i 0.593196 0.805058i
\(4\) −3.03640 5.25919i −0.379550 0.657399i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) −6.60938 + 2.88975i −0.449711 + 0.196622i
\(7\) −11.1211 14.8095i −0.600484 0.799637i
\(8\) 19.5364i 0.863395i
\(9\) −7.99841 25.7881i −0.296237 0.955114i
\(10\) 6.01125 3.47060i 0.190092 0.109750i
\(11\) −11.5490 + 6.66781i −0.316559 + 0.182765i −0.649858 0.760056i \(-0.725172\pi\)
0.333299 + 0.942821i \(0.391838\pi\)
\(12\) −31.3595 3.50873i −0.754392 0.0844070i
\(13\) 27.3633i 0.583786i 0.956451 + 0.291893i \(0.0942852\pi\)
−0.956451 + 0.291893i \(0.905715\pi\)
\(14\) 3.09083 + 25.5241i 0.0590042 + 0.487257i
\(15\) 10.4080 + 23.8049i 0.179155 + 0.409760i
\(16\) −10.7306 + 18.5859i −0.167665 + 0.290405i
\(17\) −8.19960 14.2021i −0.116982 0.202619i 0.801588 0.597876i \(-0.203989\pi\)
−0.918570 + 0.395258i \(0.870655\pi\)
\(18\) −8.28393 + 36.5556i −0.108474 + 0.478679i
\(19\) 3.26555 + 1.88537i 0.0394300 + 0.0227649i 0.519585 0.854419i \(-0.326086\pi\)
−0.480155 + 0.877183i \(0.659420\pi\)
\(20\) 30.3640 0.339480
\(21\) −96.2301 + 0.874166i −0.999959 + 0.00908375i
\(22\) 18.5130 0.179409
\(23\) −171.457 98.9905i −1.55440 0.897433i −0.997775 0.0666676i \(-0.978763\pi\)
−0.556623 0.830765i \(-0.687903\pi\)
\(24\) 81.7247 + 60.2177i 0.695083 + 0.512162i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) 18.9934 32.8976i 0.143266 0.248144i
\(27\) −132.531 46.0286i −0.944649 0.328082i
\(28\) −44.1177 + 103.456i −0.297767 + 0.698260i
\(29\) 68.2057i 0.436741i −0.975866 0.218370i \(-0.929926\pi\)
0.975866 0.218370i \(-0.0700741\pi\)
\(30\) 4.01048 35.8438i 0.0244070 0.218139i
\(31\) −4.82091 + 2.78335i −0.0279310 + 0.0161260i −0.513900 0.857850i \(-0.671800\pi\)
0.485969 + 0.873976i \(0.338467\pi\)
\(32\) 161.154 93.0422i 0.890257 0.513990i
\(33\) −7.70504 + 68.8642i −0.0406447 + 0.363264i
\(34\) 22.7660i 0.114833i
\(35\) 91.9297 11.1322i 0.443970 0.0537624i
\(36\) −111.338 + 120.368i −0.515455 + 0.557259i
\(37\) 125.414 217.224i 0.557243 0.965173i −0.440483 0.897761i \(-0.645193\pi\)
0.997725 0.0674114i \(-0.0214740\pi\)
\(38\) −2.61734 4.53337i −0.0111734 0.0193529i
\(39\) 114.466 + 84.3430i 0.469982 + 0.346300i
\(40\) −84.5951 48.8410i −0.334391 0.193061i
\(41\) 113.675 0.433003 0.216501 0.976282i \(-0.430535\pi\)
0.216501 + 0.976282i \(0.430535\pi\)
\(42\) 116.299 + 65.7442i 0.427271 + 0.241537i
\(43\) 15.9752 0.0566556 0.0283278 0.999599i \(-0.490982\pi\)
0.0283278 + 0.999599i \(0.490982\pi\)
\(44\) 70.1346 + 40.4922i 0.240300 + 0.138737i
\(45\) 131.662 + 29.8361i 0.436155 + 0.0988379i
\(46\) 137.422 + 238.023i 0.440475 + 0.762924i
\(47\) 199.709 345.907i 0.619800 1.07352i −0.369722 0.929142i \(-0.620547\pi\)
0.989522 0.144382i \(-0.0461195\pi\)
\(48\) 44.6735 + 102.176i 0.134335 + 0.307248i
\(49\) −95.6411 + 329.396i −0.278837 + 0.960338i
\(50\) 34.7060i 0.0981633i
\(51\) −84.6843 9.47511i −0.232513 0.0260153i
\(52\) 143.909 83.0859i 0.383781 0.221576i
\(53\) 557.261 321.735i 1.44426 0.833843i 0.446129 0.894969i \(-0.352802\pi\)
0.998130 + 0.0611257i \(0.0194691\pi\)
\(54\) 127.386 + 147.330i 0.321018 + 0.371279i
\(55\) 66.6781i 0.163470i
\(56\) 289.324 217.267i 0.690402 0.518455i
\(57\) 17.9524 7.84914i 0.0417168 0.0182394i
\(58\) −47.3429 + 82.0003i −0.107180 + 0.185641i
\(59\) −254.309 440.476i −0.561156 0.971951i −0.997396 0.0721206i \(-0.977023\pi\)
0.436240 0.899831i \(-0.356310\pi\)
\(60\) 93.5920 127.019i 0.201378 0.273301i
\(61\) 315.897 + 182.383i 0.663057 + 0.382816i 0.793441 0.608647i \(-0.208288\pi\)
−0.130383 + 0.991464i \(0.541621\pi\)
\(62\) 7.72791 0.0158298
\(63\) −292.957 + 405.245i −0.585858 + 0.810413i
\(64\) −86.6401 −0.169219
\(65\) −118.487 68.4083i −0.226099 0.130539i
\(66\) 57.0633 77.4437i 0.106424 0.144434i
\(67\) −528.013 914.545i −0.962791 1.66760i −0.715435 0.698679i \(-0.753772\pi\)
−0.247356 0.968925i \(-0.579562\pi\)
\(68\) −49.7945 + 86.2465i −0.0888010 + 0.153808i
\(69\) −942.584 + 412.116i −1.64455 + 0.719028i
\(70\) −118.250 50.4265i −0.201908 0.0861017i
\(71\) 761.859i 1.27347i 0.771085 + 0.636733i \(0.219714\pi\)
−0.771085 + 0.636733i \(0.780286\pi\)
\(72\) 503.806 156.260i 0.824641 0.255770i
\(73\) 399.076 230.406i 0.639839 0.369411i −0.144713 0.989474i \(-0.546226\pi\)
0.784553 + 0.620062i \(0.212893\pi\)
\(74\) −301.559 + 174.105i −0.473723 + 0.273504i
\(75\) −129.098 14.4445i −0.198760 0.0222387i
\(76\) 22.8989i 0.0345617i
\(77\) 227.184 + 96.8808i 0.336235 + 0.143384i
\(78\) −79.0731 180.855i −0.114786 0.262535i
\(79\) −392.931 + 680.577i −0.559598 + 0.969251i 0.437932 + 0.899008i \(0.355711\pi\)
−0.997530 + 0.0702434i \(0.977622\pi\)
\(80\) −53.6529 92.9296i −0.0749823 0.129873i
\(81\) −601.051 + 412.527i −0.824487 + 0.565881i
\(82\) −136.666 78.9042i −0.184052 0.106262i
\(83\) −1281.97 −1.69536 −0.847681 0.530507i \(-0.822002\pi\)
−0.847681 + 0.530507i \(0.822002\pi\)
\(84\) 296.790 + 503.439i 0.385506 + 0.653924i
\(85\) 81.9960 0.104632
\(86\) −19.2061 11.0887i −0.0240820 0.0139037i
\(87\) −285.319 210.233i −0.351602 0.259073i
\(88\) −130.265 225.625i −0.157799 0.273315i
\(89\) 111.389 192.931i 0.132665 0.229783i −0.792038 0.610472i \(-0.790980\pi\)
0.924703 + 0.380689i \(0.124313\pi\)
\(90\) −137.580 127.259i −0.161136 0.149048i
\(91\) 405.237 304.311i 0.466817 0.350555i
\(92\) 1202.30i 1.36248i
\(93\) −3.21632 + 28.7461i −0.00358621 + 0.0320519i
\(94\) −480.201 + 277.244i −0.526903 + 0.304208i
\(95\) −16.3278 + 9.42685i −0.0176336 + 0.0101808i
\(96\) 107.516 960.927i 0.114305 1.02161i
\(97\) 1510.37i 1.58098i −0.612474 0.790491i \(-0.709825\pi\)
0.612474 0.790491i \(-0.290175\pi\)
\(98\) 343.625 329.630i 0.354197 0.339772i
\(99\) 264.324 + 244.494i 0.268338 + 0.248208i
\(100\) −75.9099 + 131.480i −0.0759099 + 0.131480i
\(101\) −331.336 573.890i −0.326427 0.565388i 0.655373 0.755305i \(-0.272511\pi\)
−0.981800 + 0.189917i \(0.939178\pi\)
\(102\) 95.2348 + 70.1724i 0.0924475 + 0.0681187i
\(103\) 1047.51 + 604.778i 1.00208 + 0.578549i 0.908862 0.417097i \(-0.136952\pi\)
0.0932143 + 0.995646i \(0.470286\pi\)
\(104\) −534.581 −0.504038
\(105\) 236.790 418.874i 0.220079 0.389314i
\(106\) −893.290 −0.818528
\(107\) 412.952 + 238.418i 0.373099 + 0.215409i 0.674811 0.737990i \(-0.264225\pi\)
−0.301713 + 0.953399i \(0.597558\pi\)
\(108\) 160.342 + 836.765i 0.142861 + 0.745535i
\(109\) 316.182 + 547.643i 0.277842 + 0.481236i 0.970848 0.239695i \(-0.0770476\pi\)
−0.693006 + 0.720931i \(0.743714\pi\)
\(110\) −46.2825 + 80.1637i −0.0401170 + 0.0694846i
\(111\) −522.123 1194.19i −0.446466 1.02115i
\(112\) 394.584 47.7820i 0.332899 0.0403123i
\(113\) 1640.51i 1.36572i 0.730550 + 0.682859i \(0.239264\pi\)
−0.730550 + 0.682859i \(0.760736\pi\)
\(114\) −27.0315 3.02449i −0.0222082 0.00248482i
\(115\) 857.283 494.953i 0.695148 0.401344i
\(116\) −358.707 + 207.100i −0.287113 + 0.165765i
\(117\) 705.648 218.863i 0.557583 0.172939i
\(118\) 706.083i 0.550849i
\(119\) −119.137 + 279.375i −0.0917755 + 0.215212i
\(120\) −465.062 + 203.334i −0.353785 + 0.154682i
\(121\) −576.581 + 998.667i −0.433194 + 0.750313i
\(122\) −253.192 438.541i −0.187893 0.325439i
\(123\) 350.386 475.527i 0.256855 0.348592i
\(124\) 29.2764 + 16.9027i 0.0212024 + 0.0122412i
\(125\) 125.000 0.0894427
\(126\) 633.495 283.859i 0.447907 0.200699i
\(127\) −1207.61 −0.843762 −0.421881 0.906651i \(-0.638630\pi\)
−0.421881 + 0.906651i \(0.638630\pi\)
\(128\) −1185.07 684.199i −0.818329 0.472463i
\(129\) 49.2408 66.8274i 0.0336078 0.0456110i
\(130\) 94.9671 + 164.488i 0.0640705 + 0.110973i
\(131\) 837.937 1451.35i 0.558862 0.967977i −0.438730 0.898619i \(-0.644571\pi\)
0.997592 0.0693583i \(-0.0220952\pi\)
\(132\) 385.566 168.577i 0.254236 0.111157i
\(133\) −8.39532 69.3286i −0.00547343 0.0451996i
\(134\) 1466.02i 0.945108i
\(135\) 530.636 458.803i 0.338296 0.292500i
\(136\) 277.458 160.191i 0.174940 0.101002i
\(137\) −16.0858 + 9.28713i −0.0100314 + 0.00579163i −0.505007 0.863115i \(-0.668510\pi\)
0.494976 + 0.868907i \(0.335177\pi\)
\(138\) 1419.28 + 158.800i 0.875486 + 0.0979559i
\(139\) 1605.37i 0.979612i −0.871831 0.489806i \(-0.837068\pi\)
0.871831 0.489806i \(-0.162932\pi\)
\(140\) −337.682 449.674i −0.203852 0.271460i
\(141\) −831.427 1901.62i −0.496587 1.13579i
\(142\) 528.821 915.945i 0.312519 0.541298i
\(143\) −182.453 316.019i −0.106696 0.184803i
\(144\) 565.123 + 128.064i 0.327039 + 0.0741109i
\(145\) 295.339 + 170.514i 0.169149 + 0.0976582i
\(146\) −639.718 −0.362626
\(147\) 1083.13 + 1415.40i 0.607723 + 0.794149i
\(148\) −1523.23 −0.846005
\(149\) 1677.53 + 968.523i 0.922341 + 0.532514i 0.884381 0.466766i \(-0.154581\pi\)
0.0379596 + 0.999279i \(0.487914\pi\)
\(150\) 145.182 + 106.975i 0.0790272 + 0.0582301i
\(151\) 1607.99 + 2785.12i 0.866597 + 1.50099i 0.865453 + 0.500991i \(0.167031\pi\)
0.00114431 + 0.999999i \(0.499636\pi\)
\(152\) −36.8333 + 63.7972i −0.0196551 + 0.0340436i
\(153\) −300.662 + 325.046i −0.158870 + 0.171754i
\(154\) −205.886 274.168i −0.107732 0.143462i
\(155\) 27.8335i 0.0144235i
\(156\) 96.0106 858.100i 0.0492757 0.440404i
\(157\) −1852.87 + 1069.76i −0.941882 + 0.543796i −0.890550 0.454886i \(-0.849680\pi\)
−0.0513323 + 0.998682i \(0.516347\pi\)
\(158\) 944.803 545.482i 0.475724 0.274660i
\(159\) 371.783 3322.83i 0.185436 1.65734i
\(160\) 930.422i 0.459727i
\(161\) 440.793 + 3640.07i 0.215772 + 1.78185i
\(162\) 1008.96 78.7597i 0.489328 0.0381972i
\(163\) −850.663 + 1473.39i −0.408767 + 0.708006i −0.994752 0.102316i \(-0.967375\pi\)
0.585985 + 0.810322i \(0.300708\pi\)
\(164\) −345.163 597.841i −0.164346 0.284656i
\(165\) −278.928 205.524i −0.131603 0.0969700i
\(166\) 1541.25 + 889.843i 0.720629 + 0.416056i
\(167\) 1973.70 0.914546 0.457273 0.889326i \(-0.348826\pi\)
0.457273 + 0.889326i \(0.348826\pi\)
\(168\) −17.0781 1879.99i −0.00784286 0.863359i
\(169\) 1448.25 0.659194
\(170\) −98.5796 56.9150i −0.0444748 0.0256775i
\(171\) 22.5008 99.2924i 0.0100625 0.0444040i
\(172\) −48.5069 84.0165i −0.0215036 0.0372453i
\(173\) 200.730 347.674i 0.0882151 0.152793i −0.818542 0.574447i \(-0.805217\pi\)
0.906757 + 0.421654i \(0.138550\pi\)
\(174\) 197.097 + 450.798i 0.0858731 + 0.196407i
\(175\) −181.620 + 425.898i −0.0784527 + 0.183971i
\(176\) 286.198i 0.122574i
\(177\) −2626.47 293.869i −1.11535 0.124794i
\(178\) −267.835 + 154.634i −0.112781 + 0.0651142i
\(179\) 1413.50 816.086i 0.590224 0.340766i −0.174962 0.984575i \(-0.555980\pi\)
0.765186 + 0.643809i \(0.222647\pi\)
\(180\) −242.863 783.029i −0.100566 0.324242i
\(181\) 1150.39i 0.472418i 0.971702 + 0.236209i \(0.0759049\pi\)
−0.971702 + 0.236209i \(0.924095\pi\)
\(182\) −698.424 + 84.5754i −0.284454 + 0.0344459i
\(183\) 1736.65 759.296i 0.701512 0.306715i
\(184\) 1933.92 3349.64i 0.774839 1.34206i
\(185\) 627.071 + 1086.12i 0.249206 + 0.431638i
\(186\) 23.8200 32.3274i 0.00939015 0.0127439i
\(187\) 189.394 + 109.347i 0.0740634 + 0.0427605i
\(188\) −2425.59 −0.940979
\(189\) 792.231 + 2474.60i 0.304901 + 0.952384i
\(190\) 26.1734 0.00999379
\(191\) 397.619 + 229.565i 0.150632 + 0.0869674i 0.573422 0.819260i \(-0.305616\pi\)
−0.422790 + 0.906228i \(0.638949\pi\)
\(192\) −267.054 + 362.433i −0.100380 + 0.136231i
\(193\) −2645.81 4582.68i −0.986786 1.70916i −0.633716 0.773566i \(-0.718471\pi\)
−0.353069 0.935597i \(-0.614862\pi\)
\(194\) −1048.38 + 1815.85i −0.387986 + 0.672011i
\(195\) −651.382 + 284.797i −0.239212 + 0.104588i
\(196\) 2022.76 497.182i 0.737158 0.181189i
\(197\) 3519.93i 1.27302i 0.771270 + 0.636508i \(0.219622\pi\)
−0.771270 + 0.636508i \(0.780378\pi\)
\(198\) −148.075 477.415i −0.0531475 0.171356i
\(199\) 728.847 420.800i 0.259631 0.149898i −0.364535 0.931190i \(-0.618772\pi\)
0.624166 + 0.781292i \(0.285439\pi\)
\(200\) 422.975 244.205i 0.149544 0.0863395i
\(201\) −5453.24 610.149i −1.91364 0.214113i
\(202\) 919.946i 0.320432i
\(203\) −1010.09 + 758.525i −0.349234 + 0.262256i
\(204\) 207.304 + 474.141i 0.0711478 + 0.162728i
\(205\) −284.188 + 492.229i −0.0968223 + 0.167701i
\(206\) −839.576 1454.19i −0.283961 0.491835i
\(207\) −1181.40 + 5213.30i −0.396680 + 1.75048i
\(208\) −508.573 293.625i −0.169535 0.0978808i
\(209\) −50.2851 −0.0166426
\(210\) −575.429 + 339.231i −0.189088 + 0.111472i
\(211\) −888.762 −0.289976 −0.144988 0.989433i \(-0.546314\pi\)
−0.144988 + 0.989433i \(0.546314\pi\)
\(212\) −3384.13 1953.83i −1.09634 0.632970i
\(213\) 3187.01 + 2348.31i 1.02521 + 0.755414i
\(214\) −330.981 573.276i −0.105726 0.183123i
\(215\) −39.9379 + 69.1745i −0.0126686 + 0.0219426i
\(216\) 899.233 2589.17i 0.283264 0.815605i
\(217\) 94.8339 + 40.4411i 0.0296670 + 0.0126512i
\(218\) 877.872i 0.272739i
\(219\) 266.248 2379.61i 0.0821524 0.734241i
\(220\) −350.673 + 202.461i −0.107465 + 0.0620451i
\(221\) 388.617 224.368i 0.118286 0.0682925i
\(222\) −201.188 + 1798.13i −0.0608238 + 0.543616i
\(223\) 3755.81i 1.12784i −0.825830 0.563919i \(-0.809293\pi\)
0.825830 0.563919i \(-0.190707\pi\)
\(224\) −3170.12 1351.87i −0.945591 0.403239i
\(225\) −458.348 + 495.522i −0.135807 + 0.146821i
\(226\) 1138.71 1972.30i 0.335159 0.580512i
\(227\) −3177.53 5503.64i −0.929075 1.60921i −0.784872 0.619658i \(-0.787271\pi\)
−0.144203 0.989548i \(-0.546062\pi\)
\(228\) −95.7909 70.5822i −0.0278241 0.0205018i
\(229\) −3403.52 1965.02i −0.982144 0.567041i −0.0792274 0.996857i \(-0.525245\pi\)
−0.902917 + 0.429815i \(0.858579\pi\)
\(230\) −1374.22 −0.393972
\(231\) 1105.53 651.740i 0.314886 0.185633i
\(232\) 1332.49 0.377080
\(233\) 3996.42 + 2307.33i 1.12367 + 0.648749i 0.942334 0.334673i \(-0.108626\pi\)
0.181332 + 0.983422i \(0.441959\pi\)
\(234\) −1000.28 226.676i −0.279447 0.0633259i
\(235\) 998.546 + 1729.53i 0.277183 + 0.480095i
\(236\) −1544.37 + 2674.92i −0.425973 + 0.737807i
\(237\) 1635.85 + 3741.48i 0.448353 + 1.02546i
\(238\) 337.152 253.183i 0.0918250 0.0689556i
\(239\) 5573.06i 1.50833i −0.656684 0.754166i \(-0.728041\pi\)
0.656684 0.754166i \(-0.271959\pi\)
\(240\) −554.120 61.9991i −0.149035 0.0166751i
\(241\) −3752.89 + 2166.73i −1.00309 + 0.579135i −0.909161 0.416444i \(-0.863276\pi\)
−0.0939293 + 0.995579i \(0.529943\pi\)
\(242\) 1386.39 800.431i 0.368266 0.212619i
\(243\) −126.955 + 3785.87i −0.0335152 + 0.999438i
\(244\) 2215.15i 0.581191i
\(245\) −1187.22 1237.63i −0.309588 0.322731i
\(246\) −751.324 + 328.493i −0.194726 + 0.0851380i
\(247\) −51.5900 + 89.3565i −0.0132898 + 0.0230187i
\(248\) −54.3766 94.1831i −0.0139231 0.0241155i
\(249\) −3951.48 + 5362.76i −1.00568 + 1.36486i
\(250\) −150.281 86.7649i −0.0380185 0.0219500i
\(251\) 4198.97 1.05592 0.527961 0.849268i \(-0.322957\pi\)
0.527961 + 0.849268i \(0.322957\pi\)
\(252\) 3020.79 + 310.232i 0.755128 + 0.0775508i
\(253\) 2640.20 0.656079
\(254\) 1451.85 + 838.223i 0.358649 + 0.207066i
\(255\) 252.739 343.006i 0.0620672 0.0842348i
\(256\) 1296.39 + 2245.42i 0.316502 + 0.548197i
\(257\) −1667.55 + 2888.29i −0.404743 + 0.701036i −0.994292 0.106697i \(-0.965972\pi\)
0.589548 + 0.807733i \(0.299306\pi\)
\(258\) −105.586 + 46.1642i −0.0254787 + 0.0111398i
\(259\) −4611.72 + 558.455i −1.10640 + 0.133979i
\(260\) 830.859i 0.198183i
\(261\) −1758.90 + 545.537i −0.417138 + 0.129379i
\(262\) −2014.82 + 1163.26i −0.475099 + 0.274299i
\(263\) 5242.36 3026.68i 1.22912 0.709632i 0.262272 0.964994i \(-0.415528\pi\)
0.966845 + 0.255362i \(0.0821948\pi\)
\(264\) −1345.36 150.529i −0.313640 0.0350924i
\(265\) 3217.35i 0.745812i
\(266\) −38.0290 + 89.1776i −0.00876582 + 0.0205558i
\(267\) −463.733 1060.64i −0.106292 0.243109i
\(268\) −3206.51 + 5553.84i −0.730854 + 1.26588i
\(269\) 2121.49 + 3674.52i 0.480852 + 0.832860i 0.999759 0.0219707i \(-0.00699405\pi\)
−0.518906 + 0.854831i \(0.673661\pi\)
\(270\) −956.421 + 183.271i −0.215578 + 0.0413093i
\(271\) 3244.58 + 1873.26i 0.727285 + 0.419898i 0.817428 0.576030i \(-0.195399\pi\)
−0.0901429 + 0.995929i \(0.528732\pi\)
\(272\) 351.946 0.0784554
\(273\) −23.9201 2633.18i −0.00530297 0.583762i
\(274\) 25.7855 0.00568525
\(275\) 288.725 + 166.695i 0.0633118 + 0.0365531i
\(276\) 5029.46 + 3705.89i 1.09688 + 0.808218i
\(277\) −1198.10 2075.18i −0.259881 0.450127i 0.706329 0.707884i \(-0.250350\pi\)
−0.966210 + 0.257757i \(0.917017\pi\)
\(278\) −1114.32 + 1930.06i −0.240405 + 0.416393i
\(279\) 110.337 + 102.060i 0.0236763 + 0.0219002i
\(280\) 217.483 + 1795.98i 0.0464182 + 0.383322i
\(281\) 3478.54i 0.738479i −0.929334 0.369239i \(-0.879618\pi\)
0.929334 0.369239i \(-0.120382\pi\)
\(282\) −320.372 + 2863.34i −0.0676519 + 0.604643i
\(283\) 7388.81 4265.93i 1.55201 0.896054i 0.554033 0.832495i \(-0.313088\pi\)
0.997978 0.0635589i \(-0.0202451\pi\)
\(284\) 4006.76 2313.31i 0.837175 0.483343i
\(285\) −10.8933 + 97.3591i −0.00226408 + 0.0202353i
\(286\) 506.578i 0.104736i
\(287\) −1264.20 1683.47i −0.260011 0.346245i
\(288\) −3688.35 3411.66i −0.754647 0.698035i
\(289\) 2322.03 4021.88i 0.472630 0.818620i
\(290\) −236.715 410.002i −0.0479323 0.0830211i
\(291\) −6318.20 4655.48i −1.27278 0.937832i
\(292\) −2423.50 1399.21i −0.485702 0.280420i
\(293\) 3903.31 0.778273 0.389136 0.921180i \(-0.372773\pi\)
0.389136 + 0.921180i \(0.372773\pi\)
\(294\) −319.743 2453.48i −0.0634279 0.486701i
\(295\) 2543.09 0.501913
\(296\) 4243.77 + 2450.14i 0.833325 + 0.481120i
\(297\) 1837.50 352.106i 0.358999 0.0687920i
\(298\) −1344.54 2328.81i −0.261366 0.452700i
\(299\) 2708.71 4691.62i 0.523909 0.907437i
\(300\) 316.027 + 722.812i 0.0608195 + 0.139105i
\(301\) −177.662 236.584i −0.0340208 0.0453039i
\(302\) 4464.54i 0.850680i
\(303\) −3421.99 382.878i −0.648806 0.0725932i
\(304\) −70.0827 + 40.4622i −0.0132221 + 0.00763378i
\(305\) −1579.49 + 911.917i −0.296528 + 0.171201i
\(306\) 587.091 182.092i 0.109679 0.0340179i
\(307\) 5233.50i 0.972938i 0.873698 + 0.486469i \(0.161715\pi\)
−0.873698 + 0.486469i \(0.838285\pi\)
\(308\) −180.307 1488.98i −0.0333570 0.275462i
\(309\) 5758.68 2517.80i 1.06019 0.463537i
\(310\) −19.3198 + 33.4628i −0.00353964 + 0.00613084i
\(311\) −4645.70 8046.59i −0.847053 1.46714i −0.883826 0.467815i \(-0.845041\pi\)
0.0367733 0.999324i \(-0.488292\pi\)
\(312\) −1647.76 + 2236.26i −0.298993 + 0.405780i
\(313\) 3504.01 + 2023.04i 0.632775 + 0.365333i 0.781826 0.623497i \(-0.214289\pi\)
−0.149051 + 0.988829i \(0.547622\pi\)
\(314\) 2970.16 0.533808
\(315\) −1022.37 2281.65i −0.182870 0.408116i
\(316\) 4772.38 0.849580
\(317\) 2541.03 + 1467.06i 0.450216 + 0.259932i 0.707921 0.706291i \(-0.249633\pi\)
−0.257706 + 0.966223i \(0.582966\pi\)
\(318\) −2753.42 + 3736.81i −0.485547 + 0.658962i
\(319\) 454.783 + 787.707i 0.0798212 + 0.138254i
\(320\) 216.600 375.162i 0.0378385 0.0655382i
\(321\) 2270.21 992.578i 0.394737 0.172587i
\(322\) 1996.70 4682.23i 0.345564 0.810344i
\(323\) 61.8371i 0.0106523i
\(324\) 3994.59 + 1908.45i 0.684943 + 0.327237i
\(325\) 592.433 342.042i 0.101115 0.0583786i
\(326\) 2045.42 1180.92i 0.347501 0.200630i
\(327\) 3265.48 + 365.367i 0.552238 + 0.0617885i
\(328\) 2220.81i 0.373852i
\(329\) −7343.69 + 889.281i −1.23061 + 0.149020i
\(330\) 192.683 + 440.701i 0.0321420 + 0.0735145i
\(331\) −3966.45 + 6870.09i −0.658657 + 1.14083i 0.322306 + 0.946636i \(0.395542\pi\)
−0.980963 + 0.194193i \(0.937791\pi\)
\(332\) 3892.58 + 6742.15i 0.643474 + 1.11453i
\(333\) −6604.90 1496.75i −1.08693 0.246310i
\(334\) −2372.87 1369.98i −0.388736 0.224437i
\(335\) 5280.13 0.861147
\(336\) 1016.36 1797.91i 0.165021 0.291916i
\(337\) −4749.73 −0.767758 −0.383879 0.923383i \(-0.625412\pi\)
−0.383879 + 0.923383i \(0.625412\pi\)
\(338\) −1741.16 1005.26i −0.280196 0.161771i
\(339\) 6862.59 + 5056.60i 1.09948 + 0.810139i
\(340\) −248.972 431.233i −0.0397130 0.0687849i
\(341\) 37.1177 64.2897i 0.00589453 0.0102096i
\(342\) −95.9724 + 103.756i −0.0151742 + 0.0164049i
\(343\) 5941.82 2246.86i 0.935359 0.353700i
\(344\) 312.097i 0.0489161i
\(345\) 571.946 5111.80i 0.0892538 0.797710i
\(346\) −482.655 + 278.661i −0.0749933 + 0.0432974i
\(347\) −1441.07 + 832.000i −0.222941 + 0.128715i −0.607311 0.794464i \(-0.707752\pi\)
0.384370 + 0.923179i \(0.374419\pi\)
\(348\) −239.316 + 2138.90i −0.0368640 + 0.329474i
\(349\) 5194.97i 0.796792i 0.917214 + 0.398396i \(0.130433\pi\)
−0.917214 + 0.398396i \(0.869567\pi\)
\(350\) 513.977 385.969i 0.0784949 0.0589455i
\(351\) 1259.50 3626.48i 0.191530 0.551473i
\(352\) −1240.78 + 2149.09i −0.187879 + 0.325417i
\(353\) −1454.79 2519.78i −0.219351 0.379927i 0.735259 0.677786i \(-0.237061\pi\)
−0.954610 + 0.297860i \(0.903727\pi\)
\(354\) 2953.69 + 2176.39i 0.443466 + 0.326762i
\(355\) −3298.95 1904.65i −0.493211 0.284755i
\(356\) −1352.88 −0.201412
\(357\) 801.463 + 1359.50i 0.118818 + 0.201548i
\(358\) −2265.84 −0.334507
\(359\) 6437.76 + 3716.84i 0.946439 + 0.546427i 0.891973 0.452089i \(-0.149321\pi\)
0.0544663 + 0.998516i \(0.482654\pi\)
\(360\) −582.890 + 2572.20i −0.0853361 + 0.376574i
\(361\) −3422.39 5927.75i −0.498964 0.864230i
\(362\) 798.506 1383.05i 0.115935 0.200806i
\(363\) 2400.41 + 5490.18i 0.347077 + 0.793829i
\(364\) −2830.89 1207.21i −0.407634 0.173832i
\(365\) 2304.06i 0.330412i
\(366\) −2614.93 292.578i −0.373455 0.0417849i
\(367\) 3145.00 1815.77i 0.447323 0.258262i −0.259376 0.965776i \(-0.583517\pi\)
0.706699 + 0.707514i \(0.250183\pi\)
\(368\) 3679.66 2124.45i 0.521238 0.300937i
\(369\) −909.222 2931.47i −0.128271 0.413567i
\(370\) 1741.05i 0.244629i
\(371\) −10962.1 4674.69i −1.53403 0.654172i
\(372\) 160.947 70.3692i 0.0224320 0.00980772i
\(373\) −3450.26 + 5976.02i −0.478948 + 0.829562i −0.999709 0.0241408i \(-0.992315\pi\)
0.520761 + 0.853703i \(0.325648\pi\)
\(374\) −151.799 262.924i −0.0209876 0.0363515i
\(375\) 385.292 522.901i 0.0530571 0.0720066i
\(376\) 6757.77 + 3901.60i 0.926875 + 0.535132i
\(377\) 1866.34 0.254963
\(378\) 765.207 3524.99i 0.104122 0.479645i
\(379\) −1750.73 −0.237279 −0.118640 0.992937i \(-0.537853\pi\)
−0.118640 + 0.992937i \(0.537853\pi\)
\(380\) 99.1552 + 57.2473i 0.0133857 + 0.00772822i
\(381\) −3722.25 + 5051.67i −0.500516 + 0.679278i
\(382\) −318.692 551.990i −0.0426850 0.0739326i
\(383\) −4308.32 + 7462.23i −0.574791 + 0.995567i 0.421274 + 0.906934i \(0.361583\pi\)
−0.996064 + 0.0886330i \(0.971750\pi\)
\(384\) −6514.92 + 2848.45i −0.865789 + 0.378540i
\(385\) −987.467 + 741.535i −0.130717 + 0.0981614i
\(386\) 7346.03i 0.968661i
\(387\) −127.776 411.969i −0.0167835 0.0541125i
\(388\) −7943.35 + 4586.10i −1.03934 + 0.600061i
\(389\) −9276.11 + 5355.57i −1.20904 + 0.698041i −0.962550 0.271103i \(-0.912611\pi\)
−0.246493 + 0.969145i \(0.579278\pi\)
\(390\) 980.807 + 109.740i 0.127346 + 0.0142485i
\(391\) 3246.73i 0.419934i
\(392\) −6435.21 1868.48i −0.829151 0.240746i
\(393\) −3488.49 7978.81i −0.447763 1.02412i
\(394\) 2443.25 4231.83i 0.312409 0.541108i
\(395\) −1964.66 3402.88i −0.250260 0.433462i
\(396\) 483.252 2132.51i 0.0613241 0.270613i
\(397\) −2144.73 1238.26i −0.271135 0.156540i 0.358268 0.933619i \(-0.383367\pi\)
−0.629404 + 0.777079i \(0.716701\pi\)
\(398\) −1168.34 −0.147145
\(399\) −315.893 178.575i −0.0396351 0.0224058i
\(400\) 536.529 0.0670662
\(401\) −6384.47 3686.07i −0.795075 0.459037i 0.0466710 0.998910i \(-0.485139\pi\)
−0.841746 + 0.539873i \(0.818472\pi\)
\(402\) 6132.64 + 4518.75i 0.760867 + 0.560634i
\(403\) −76.1618 131.916i −0.00941411 0.0163057i
\(404\) −2012.13 + 3485.12i −0.247791 + 0.429186i
\(405\) −283.668 3633.95i −0.0348039 0.445857i
\(406\) 1740.89 210.812i 0.212805 0.0257696i
\(407\) 3344.95i 0.407379i
\(408\) 185.109 1654.43i 0.0224615 0.200751i
\(409\) 3200.28 1847.68i 0.386904 0.223379i −0.293914 0.955832i \(-0.594958\pi\)
0.680818 + 0.732453i \(0.261625\pi\)
\(410\) 683.331 394.521i 0.0823105 0.0475220i
\(411\) −10.7318 + 95.9162i −0.00128798 + 0.0115114i
\(412\) 7345.38i 0.878352i
\(413\) −3695.02 + 8664.77i −0.440242 + 1.03236i
\(414\) 5038.99 5447.66i 0.598195 0.646710i
\(415\) 3204.94 5551.11i 0.379094 0.656611i
\(416\) 2545.94 + 4409.70i 0.300061 + 0.519720i
\(417\) −6715.61 4948.30i −0.788645 0.581102i
\(418\) 60.4553 + 34.9039i 0.00707408 + 0.00408422i
\(419\) −4189.28 −0.488448 −0.244224 0.969719i \(-0.578533\pi\)
−0.244224 + 0.969719i \(0.578533\pi\)
\(420\) −2921.93 + 26.5432i −0.339466 + 0.00308375i
\(421\) 3165.16 0.366414 0.183207 0.983074i \(-0.441352\pi\)
0.183207 + 0.983074i \(0.441352\pi\)
\(422\) 1068.51 + 616.907i 0.123257 + 0.0711625i
\(423\) −10517.6 2383.42i −1.20895 0.273962i
\(424\) 6285.54 + 10886.9i 0.719936 + 1.24697i
\(425\) −204.990 + 355.053i −0.0233964 + 0.0405238i
\(426\) −2201.58 5035.42i −0.250392 0.572692i
\(427\) −812.131 6706.58i −0.0920417 0.760080i
\(428\) 2895.73i 0.327033i
\(429\) −1884.35 210.836i −0.212069 0.0237278i
\(430\) 96.0307 55.4433i 0.0107698 0.00621794i
\(431\) −3806.66 + 2197.78i −0.425431 + 0.245622i −0.697398 0.716684i \(-0.745659\pi\)
0.271968 + 0.962306i \(0.412326\pi\)
\(432\) 2277.62 1969.29i 0.253662 0.219323i
\(433\) 9745.02i 1.08156i −0.841164 0.540780i \(-0.818129\pi\)
0.841164 0.540780i \(-0.181871\pi\)
\(434\) −85.9431 114.446i −0.00950553 0.0126581i
\(435\) 1623.63 709.883i 0.178959 0.0782443i
\(436\) 1920.11 3325.73i 0.210909 0.365306i
\(437\) −373.267 646.518i −0.0408599 0.0707715i
\(438\) −1971.83 + 2676.07i −0.215108 + 0.291935i
\(439\) −12760.4 7367.21i −1.38729 0.800952i −0.394280 0.918990i \(-0.629006\pi\)
−0.993009 + 0.118039i \(0.962339\pi\)
\(440\) 1302.65 0.141139
\(441\) 9259.47 168.242i 0.999835 0.0181667i
\(442\) −622.953 −0.0670382
\(443\) −6568.16 3792.13i −0.704431 0.406703i 0.104565 0.994518i \(-0.466655\pi\)
−0.808995 + 0.587815i \(0.799988\pi\)
\(444\) −4695.11 + 6371.98i −0.501847 + 0.681083i
\(445\) 556.944 + 964.656i 0.0593297 + 0.102762i
\(446\) −2606.98 + 4515.42i −0.276781 + 0.479398i
\(447\) 9222.25 4032.14i 0.975833 0.426653i
\(448\) 963.535 + 1283.09i 0.101613 + 0.135314i
\(449\) 10465.0i 1.09994i 0.835185 + 0.549968i \(0.185360\pi\)
−0.835185 + 0.549968i \(0.814640\pi\)
\(450\) 895.000 277.592i 0.0937572 0.0290796i
\(451\) −1312.83 + 757.965i −0.137071 + 0.0791379i
\(452\) 8627.76 4981.24i 0.897822 0.518358i
\(453\) 16607.1 + 1858.12i 1.72245 + 0.192720i
\(454\) 8822.34i 0.912011i
\(455\) 304.614 + 2515.50i 0.0313858 + 0.259184i
\(456\) 153.344 + 350.726i 0.0157478 + 0.0360181i
\(457\) 5743.83 9948.61i 0.587932 1.01833i −0.406571 0.913619i \(-0.633275\pi\)
0.994503 0.104709i \(-0.0333912\pi\)
\(458\) 2727.92 + 4724.90i 0.278313 + 0.482052i
\(459\) 432.994 + 2259.63i 0.0440315 + 0.229783i
\(460\) −5206.10 3005.74i −0.527687 0.304660i
\(461\) 8170.78 0.825490 0.412745 0.910847i \(-0.364570\pi\)
0.412745 + 0.910847i \(0.364570\pi\)
\(462\) −1781.51 + 16.1835i −0.179401 + 0.00162970i
\(463\) 1490.95 0.149655 0.0748277 0.997196i \(-0.476159\pi\)
0.0748277 + 0.997196i \(0.476159\pi\)
\(464\) 1267.67 + 731.888i 0.126832 + 0.0732264i
\(465\) −116.433 85.7922i −0.0116118 0.00855596i
\(466\) −3203.13 5547.98i −0.318417 0.551514i
\(467\) −5352.40 + 9270.62i −0.530363 + 0.918615i 0.469010 + 0.883193i \(0.344611\pi\)
−0.999372 + 0.0354221i \(0.988722\pi\)
\(468\) −3293.67 3046.58i −0.325320 0.300915i
\(469\) −7671.83 + 17990.4i −0.755336 + 1.77125i
\(470\) 2772.44i 0.272092i
\(471\) −1236.17 + 11048.3i −0.120933 + 1.08085i
\(472\) 8605.32 4968.28i 0.839178 0.484499i
\(473\) −184.497 + 106.519i −0.0179348 + 0.0103547i
\(474\) 630.336 5633.66i 0.0610808 0.545913i
\(475\) 94.2685i 0.00910596i
\(476\) 1831.04 221.729i 0.176314 0.0213507i
\(477\) −12754.1 11797.3i −1.22426 1.13242i
\(478\) −3868.37 + 6700.21i −0.370157 + 0.641131i
\(479\) −7952.89 13774.8i −0.758616 1.31396i −0.943557 0.331211i \(-0.892543\pi\)
0.184941 0.982750i \(-0.440791\pi\)
\(480\) 3892.15 + 2867.87i 0.370107 + 0.272708i
\(481\) 5943.97 + 3431.75i 0.563455 + 0.325311i
\(482\) 6015.88 0.568498
\(483\) 16585.8 + 9375.99i 1.56249 + 0.883276i
\(484\) 7002.91 0.657674
\(485\) 6540.11 + 3775.94i 0.612312 + 0.353518i
\(486\) 2780.48 4463.44i 0.259516 0.416596i
\(487\) −1302.04 2255.19i −0.121152 0.209841i 0.799070 0.601237i \(-0.205325\pi\)
−0.920222 + 0.391397i \(0.871992\pi\)
\(488\) −3563.11 + 6171.49i −0.330522 + 0.572480i
\(489\) 3541.47 + 8099.99i 0.327507 + 0.749068i
\(490\) 568.278 + 2312.01i 0.0523922 + 0.213155i
\(491\) 4419.78i 0.406236i 0.979154 + 0.203118i \(0.0651075\pi\)
−0.979154 + 0.203118i \(0.934893\pi\)
\(492\) −3564.80 398.856i −0.326654 0.0365484i
\(493\) −968.666 + 559.259i −0.0884919 + 0.0510908i
\(494\) 124.048 71.6192i 0.0112979 0.00652287i
\(495\) −1719.50 + 533.318i −0.156133 + 0.0484260i
\(496\) 119.468i 0.0108151i
\(497\) 11282.7 8472.73i 1.01831 0.764696i
\(498\) 8473.06 3704.58i 0.762423 0.333346i
\(499\) 1824.21 3159.62i 0.163653 0.283455i −0.772523 0.634987i \(-0.781006\pi\)
0.936176 + 0.351531i \(0.114339\pi\)
\(500\) −379.550 657.399i −0.0339480 0.0587996i
\(501\) 6083.59 8256.37i 0.542505 0.736262i
\(502\) −5048.21 2914.59i −0.448830 0.259132i
\(503\) 14124.3 1.25203 0.626016 0.779810i \(-0.284685\pi\)
0.626016 + 0.779810i \(0.284685\pi\)
\(504\) −7917.02 5723.32i −0.699707 0.505827i
\(505\) 3313.36 0.291965
\(506\) −3174.18 1832.61i −0.278872 0.161007i
\(507\) 4463.99 6058.32i 0.391031 0.530689i
\(508\) 3666.77 + 6351.04i 0.320250 + 0.554689i
\(509\) 4137.89 7167.03i 0.360331 0.624112i −0.627684 0.778468i \(-0.715997\pi\)
0.988015 + 0.154356i \(0.0493303\pi\)
\(510\) −541.943 + 236.948i −0.0470542 + 0.0205730i
\(511\) −7850.37 3347.72i −0.679608 0.289813i
\(512\) 7347.78i 0.634237i
\(513\) −346.005 400.178i −0.0297788 0.0344411i
\(514\) 4009.63 2314.96i 0.344080 0.198655i
\(515\) −5237.53 + 3023.89i −0.448142 + 0.258735i
\(516\) −500.973 56.0526i −0.0427405 0.00478213i
\(517\) 5326.49i 0.453112i
\(518\) 5932.07 + 2529.68i 0.503167 + 0.214571i
\(519\) −835.676 1911.34i −0.0706784 0.161654i
\(520\) 1336.45 2314.80i 0.112706 0.195213i
\(521\) 209.258 + 362.446i 0.0175965 + 0.0304780i 0.874690 0.484684i \(-0.161065\pi\)
−0.857093 + 0.515162i \(0.827732\pi\)
\(522\) 2493.30 + 565.011i 0.209059 + 0.0473752i
\(523\) 1185.36 + 684.367i 0.0991053 + 0.0572185i 0.548734 0.835997i \(-0.315110\pi\)
−0.449628 + 0.893216i \(0.648444\pi\)
\(524\) −10177.2 −0.848463
\(525\) 1221.80 + 2072.52i 0.101569 + 0.172290i
\(526\) −8403.51 −0.696598
\(527\) 79.0589 + 45.6447i 0.00653484 + 0.00377289i
\(528\) −1197.23 882.159i −0.0986791 0.0727103i
\(529\) 13514.7 + 23408.2i 1.11077 + 1.92391i
\(530\) 2233.22 3868.06i 0.183028 0.317014i
\(531\) −9324.97 + 10081.3i −0.762089 + 0.823897i
\(532\) −339.121 + 254.662i −0.0276368 + 0.0207537i
\(533\) 3110.54i 0.252781i
\(534\) −178.689 + 1597.04i −0.0144806 + 0.129421i
\(535\) −2064.76 + 1192.09i −0.166855 + 0.0963337i
\(536\) 17866.9 10315.5i 1.43980 0.831269i
\(537\) 943.034 8428.42i 0.0757820 0.677306i
\(538\) 5890.25i 0.472020i
\(539\) −1091.79 4441.91i −0.0872483 0.354966i
\(540\) −4024.16 1397.61i −0.320689 0.111377i
\(541\) 3826.77 6628.16i 0.304114 0.526741i −0.672950 0.739688i \(-0.734973\pi\)
0.977064 + 0.212948i \(0.0683063\pi\)
\(542\) −2600.53 4504.25i −0.206093 0.356964i
\(543\) 4812.30 + 3545.88i 0.380324 + 0.280236i
\(544\) −2642.79 1525.82i −0.208288 0.120255i
\(545\) −3161.82 −0.248509
\(546\) −1798.98 + 3182.34i −0.141006 + 0.249435i
\(547\) 11532.7 0.901465 0.450733 0.892659i \(-0.351163\pi\)
0.450733 + 0.892659i \(0.351163\pi\)
\(548\) 97.6856 + 56.3988i 0.00761482 + 0.00439642i
\(549\) 2176.64 9605.16i 0.169211 0.746700i
\(550\) −231.413 400.819i −0.0179409 0.0310745i
\(551\) 128.593 222.730i 0.00994237 0.0172207i
\(552\) −8051.26 18414.7i −0.620805 1.41989i
\(553\) 14448.8 1749.68i 1.11108 0.134546i
\(554\) 3326.51i 0.255108i
\(555\) 6476.30 + 724.617i 0.495322 + 0.0554203i
\(556\) −8442.98 + 4874.55i −0.643996 + 0.371811i
\(557\) 411.256 237.439i 0.0312845 0.0180621i −0.484276 0.874915i \(-0.660917\pi\)
0.515561 + 0.856853i \(0.327584\pi\)
\(558\) −61.8110 199.288i −0.00468937 0.0151192i
\(559\) 437.134i 0.0330747i
\(560\) −779.558 + 1828.05i −0.0588256 + 0.137945i
\(561\) 1041.20 455.231i 0.0783588 0.0342600i
\(562\) −2414.52 + 4182.08i −0.181229 + 0.313897i
\(563\) −9360.39 16212.7i −0.700699 1.21365i −0.968221 0.250094i \(-0.919538\pi\)
0.267523 0.963552i \(-0.413795\pi\)
\(564\) −7476.47 + 10146.7i −0.558185 + 0.757543i
\(565\) −7103.62 4101.28i −0.528941 0.305384i
\(566\) −11844.3 −0.879596
\(567\) 12793.7 + 4313.48i 0.947591 + 0.319487i
\(568\) −14884.0 −1.09950
\(569\) −4773.59 2756.03i −0.351703 0.203056i 0.313732 0.949512i \(-0.398421\pi\)
−0.665435 + 0.746456i \(0.731754\pi\)
\(570\) 80.6753 109.489i 0.00592827 0.00804558i
\(571\) −4990.29 8643.44i −0.365739 0.633479i 0.623155 0.782098i \(-0.285851\pi\)
−0.988895 + 0.148619i \(0.952517\pi\)
\(572\) −1108.00 + 1919.12i −0.0809928 + 0.140284i
\(573\) 2185.92 955.724i 0.159368 0.0696788i
\(574\) 351.351 + 2901.46i 0.0255490 + 0.210983i
\(575\) 4949.53i 0.358973i
\(576\) 692.982 + 2234.28i 0.0501289 + 0.161623i
\(577\) −13552.6 + 7824.60i −0.977820 + 0.564545i −0.901611 0.432547i \(-0.857615\pi\)
−0.0762088 + 0.997092i \(0.524282\pi\)
\(578\) −5583.33 + 3223.54i −0.401792 + 0.231975i
\(579\) −27325.6 3057.39i −1.96133 0.219449i
\(580\) 2071.00i 0.148265i
\(581\) 14257.0 + 18985.4i 1.01804 + 1.35567i
\(582\) 4364.60 + 9982.64i 0.310857 + 0.710986i
\(583\) −4290.53 + 7431.42i −0.304795 + 0.527921i
\(584\) 4501.31 + 7796.50i 0.318948 + 0.552434i
\(585\) −816.415 + 3602.70i −0.0577002 + 0.254621i
\(586\) −4692.76 2709.36i −0.330812 0.190995i
\(587\) −19977.1 −1.40467 −0.702337 0.711844i \(-0.747860\pi\)
−0.702337 + 0.711844i \(0.747860\pi\)
\(588\) 4155.02 9994.11i 0.291412 0.700936i
\(589\) −20.9906 −0.00146842
\(590\) −3057.43 1765.21i −0.213343 0.123174i
\(591\) 14724.6 + 10849.6i 1.02485 + 0.755148i
\(592\) 2691.54 + 4661.88i 0.186861 + 0.323652i
\(593\) 7671.44 13287.3i 0.531245 0.920143i −0.468090 0.883681i \(-0.655058\pi\)
0.999335 0.0364627i \(-0.0116090\pi\)
\(594\) −2453.54 852.128i −0.169478 0.0588607i
\(595\) −911.887 1214.32i −0.0628298 0.0836675i
\(596\) 11763.3i 0.808461i
\(597\) 486.259 4345.96i 0.0333354 0.297937i
\(598\) −6513.09 + 3760.34i −0.445385 + 0.257143i
\(599\) 7700.72 4446.01i 0.525280 0.303271i −0.213812 0.976875i \(-0.568588\pi\)
0.739092 + 0.673604i \(0.235255\pi\)
\(600\) 282.193 2522.11i 0.0192008 0.171608i
\(601\) 9396.07i 0.637727i −0.947801 0.318863i \(-0.896699\pi\)
0.947801 0.318863i \(-0.103301\pi\)
\(602\) 49.3765 + 407.751i 0.00334292 + 0.0276058i
\(603\) −19361.1 + 20931.3i −1.30754 + 1.41358i
\(604\) 9764.98 16913.4i 0.657833 1.13940i
\(605\) −2882.90 4993.33i −0.193730 0.335550i
\(606\) 3848.32 + 2835.58i 0.257966 + 0.190079i
\(607\) 17387.7 + 10038.8i 1.16268 + 0.671273i 0.951945 0.306270i \(-0.0990810\pi\)
0.210735 + 0.977543i \(0.432414\pi\)
\(608\) 701.675 0.0468038
\(609\) 59.6231 + 6563.45i 0.00396724 + 0.436723i
\(610\) 2531.92 0.168056
\(611\) 9465.15 + 5464.71i 0.626709 + 0.361831i
\(612\) 2622.41 + 594.269i 0.173210 + 0.0392515i
\(613\) −3697.97 6405.08i −0.243654 0.422021i 0.718099 0.695941i \(-0.245013\pi\)
−0.961752 + 0.273921i \(0.911679\pi\)
\(614\) 3632.68 6291.98i 0.238767 0.413556i
\(615\) 1183.13 + 2706.03i 0.0775746 + 0.177427i
\(616\) −1892.70 + 4438.36i −0.123797 + 0.290303i
\(617\) 422.096i 0.0275412i −0.999905 0.0137706i \(-0.995617\pi\)
0.999905 0.0137706i \(-0.00438346\pi\)
\(618\) −8671.02 970.179i −0.564401 0.0631494i
\(619\) 4770.86 2754.46i 0.309785 0.178855i −0.337045 0.941488i \(-0.609428\pi\)
0.646830 + 0.762634i \(0.276094\pi\)
\(620\) −146.382 + 84.5136i −0.00948199 + 0.00547443i
\(621\) 18166.9 + 21011.2i 1.17393 + 1.35773i
\(622\) 12898.7i 0.831495i
\(623\) −4095.98 + 496.001i −0.263406 + 0.0318971i
\(624\) −2795.88 + 1222.41i −0.179367 + 0.0784227i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) −2808.46 4864.40i −0.179311 0.310576i
\(627\) −154.996 + 210.353i −0.00987230 + 0.0133982i
\(628\) 11252.1 + 6496.42i 0.714982 + 0.412795i
\(629\) −4113.38 −0.260749
\(630\) −354.595 + 3452.76i −0.0224245 + 0.218351i
\(631\) −8193.81 −0.516942 −0.258471 0.966019i \(-0.583219\pi\)
−0.258471 + 0.966019i \(0.583219\pi\)
\(632\) −13296.0 7676.46i −0.836847 0.483154i
\(633\) −2739.46 + 3717.88i −0.172013 + 0.233448i
\(634\) −2036.63 3527.55i −0.127579 0.220973i
\(635\) 3019.02 5229.09i 0.188671 0.326788i
\(636\) −18604.3 + 8134.16i −1.15992 + 0.507139i
\(637\) −9013.37 2617.06i −0.560632 0.162781i
\(638\) 1262.69i 0.0783551i
\(639\) 19646.9 6093.66i 1.21630 0.377248i
\(640\) 5925.34 3421.00i 0.365968 0.211292i
\(641\) −7976.28 + 4605.11i −0.491489 + 0.283761i −0.725192 0.688547i \(-0.758249\pi\)
0.233703 + 0.972308i \(0.424916\pi\)
\(642\) −3418.32 382.468i −0.210141 0.0235121i
\(643\) 14613.6i 0.896277i −0.893964 0.448138i \(-0.852087\pi\)
0.893964 0.448138i \(-0.147913\pi\)
\(644\) 17805.4 13370.9i 1.08949 0.818148i
\(645\) 166.269 + 380.287i 0.0101501 + 0.0232152i
\(646\) −42.9223 + 74.3436i −0.00261417 + 0.00452788i
\(647\) 3498.36 + 6059.34i 0.212573 + 0.368188i 0.952519 0.304479i \(-0.0984823\pi\)
−0.739946 + 0.672666i \(0.765149\pi\)
\(648\) −8059.29 11742.4i −0.488579 0.711858i
\(649\) 5874.02 + 3391.37i 0.355278 + 0.205120i
\(650\) −949.671 −0.0573064
\(651\) 461.483 272.056i 0.0277833 0.0163790i
\(652\) 10331.8 0.620590
\(653\) −4248.55 2452.90i −0.254607 0.146998i 0.367265 0.930116i \(-0.380294\pi\)
−0.621872 + 0.783119i \(0.713628\pi\)
\(654\) −3672.32 2705.90i −0.219570 0.161787i
\(655\) 4189.69 + 7256.75i 0.249931 + 0.432893i
\(656\) −1219.80 + 2112.76i −0.0725996 + 0.125746i
\(657\) −9133.71 8448.51i −0.542374 0.501686i
\(658\) 9446.21 + 4028.25i 0.559653 + 0.238659i
\(659\) 25374.7i 1.49993i 0.661475 + 0.749967i \(0.269931\pi\)
−0.661475 + 0.749967i \(0.730069\pi\)
\(660\) −233.956 + 2090.99i −0.0137980 + 0.123321i
\(661\) 11622.2 6710.08i 0.683890 0.394844i −0.117429 0.993081i \(-0.537465\pi\)
0.801319 + 0.598237i \(0.204132\pi\)
\(662\) 9537.32 5506.37i 0.559937 0.323280i
\(663\) 259.271 2317.24i 0.0151874 0.135738i
\(664\) 25045.2i 1.46377i
\(665\) 321.190 + 136.969i 0.0187296 + 0.00798709i
\(666\) 6901.82 + 6384.06i 0.401562 + 0.371437i
\(667\) −6751.72 + 11694.3i −0.391946 + 0.678870i
\(668\) −5992.92 10380.0i −0.347115 0.601222i
\(669\) −15711.3 11576.7i −0.907975 0.669028i
\(670\) −6348.03 3665.04i −0.366039 0.211333i
\(671\) −4864.39 −0.279862
\(672\) −15426.5 + 9094.34i −0.885552 + 0.522056i
\(673\) −20830.6 −1.19310 −0.596552 0.802574i \(-0.703463\pi\)
−0.596552 + 0.802574i \(0.703463\pi\)
\(674\) 5710.36 + 3296.88i 0.326343 + 0.188414i
\(675\) 660.085 + 3444.73i 0.0376395 + 0.196426i
\(676\) −4397.46 7616.62i −0.250197 0.433353i
\(677\) 11397.9 19741.7i 0.647055 1.12073i −0.336768 0.941588i \(-0.609334\pi\)
0.983823 0.179144i \(-0.0573329\pi\)
\(678\) −4740.66 10842.8i −0.268531 0.614179i
\(679\) −22367.8 + 16797.1i −1.26421 + 0.949355i
\(680\) 1601.91i 0.0903386i
\(681\) −32817.1 3671.82i −1.84663 0.206615i
\(682\) −89.2495 + 51.5282i −0.00501106 + 0.00289313i
\(683\) −17518.8 + 10114.5i −0.981460 + 0.566646i −0.902711 0.430248i \(-0.858426\pi\)
−0.0787496 + 0.996894i \(0.525093\pi\)
\(684\) −590.519 + 183.155i −0.0330103 + 0.0102385i
\(685\) 92.8713i 0.00518019i
\(686\) −8703.14 1423.04i −0.484384 0.0792013i
\(687\) −18710.9 + 8180.76i −1.03911 + 0.454317i
\(688\) −171.423 + 296.913i −0.00949918 + 0.0164531i
\(689\) 8803.74 + 15248.5i 0.486786 + 0.843139i
\(690\) −4235.82 + 5748.66i −0.233703 + 0.317171i
\(691\) 4789.37 + 2765.14i 0.263670 + 0.152230i 0.626008 0.779817i \(-0.284688\pi\)
−0.362337 + 0.932047i \(0.618021\pi\)
\(692\) −2437.98 −0.133928
\(693\) 681.258 6633.54i 0.0373432 0.363618i
\(694\) 2310.03 0.126351
\(695\) 6951.48 + 4013.44i 0.379402 + 0.219048i
\(696\) 4107.19 5574.10i 0.223682 0.303571i
\(697\) −932.092 1614.43i −0.0506535 0.0877344i
\(698\) 3605.93 6245.65i 0.195539 0.338684i
\(699\) 21970.4 9605.87i 1.18883 0.519781i
\(700\) 2791.35 338.018i 0.150719 0.0182512i
\(701\) 421.262i 0.0226974i 0.999936 + 0.0113487i \(0.00361247\pi\)
−0.999936 + 0.0113487i \(0.996388\pi\)
\(702\) −4031.44 + 3485.69i −0.216748 + 0.187406i
\(703\) 819.094 472.904i 0.0439441 0.0253712i
\(704\) 1000.60 577.699i 0.0535678 0.0309274i
\(705\) 10312.8 + 1153.88i 0.550928 + 0.0616419i
\(706\) 4039.20i 0.215322i
\(707\) −4814.19 + 11289.2i −0.256091 + 0.600530i
\(708\) 6429.49 + 14705.4i 0.341292 + 0.780598i
\(709\) 10728.9 18583.1i 0.568313 0.984347i −0.428420 0.903580i \(-0.640930\pi\)
0.996733 0.0807675i \(-0.0257371\pi\)
\(710\) 2644.10 + 4579.72i 0.139763 + 0.242076i
\(711\) 20693.6 + 4689.41i 1.09152 + 0.247351i
\(712\) 3769.18 + 2176.14i 0.198393 + 0.114542i
\(713\) 1102.10 0.0578878
\(714\) −19.9013 2190.77i −0.00104312 0.114829i
\(715\) 1824.53 0.0954318
\(716\) −8583.91 4955.92i −0.448039 0.258675i
\(717\) −23313.3 17178.0i −1.21429 0.894736i
\(718\) −5159.86 8937.14i −0.268195 0.464528i
\(719\) 14853.2 25726.6i 0.770421 1.33441i −0.166912 0.985972i \(-0.553379\pi\)
0.937332 0.348436i \(-0.113287\pi\)
\(720\) −1967.34 + 2126.90i −0.101831 + 0.110090i
\(721\) −2693.00 22238.8i −0.139102 1.14871i
\(722\) 9502.19i 0.489799i
\(723\) −2503.78 + 22377.7i −0.128792 + 1.15109i
\(724\) 6050.11 3493.03i 0.310567 0.179306i
\(725\) −1476.70 + 852.572i −0.0756457 + 0.0436741i
\(726\) 924.945 8266.74i 0.0472836 0.422600i
\(727\) 38935.7i 1.98630i 0.116827 + 0.993152i \(0.462728\pi\)
−0.116827 + 0.993152i \(0.537272\pi\)
\(728\) 5945.14 + 7916.86i 0.302667 + 0.403047i
\(729\) 15445.7 + 12200.4i 0.784725 + 0.619844i
\(730\) 1599.30 2770.06i 0.0810857 0.140445i
\(731\) −130.990 226.881i −0.00662768 0.0114795i
\(732\) −9266.44 6827.85i −0.467893 0.344760i
\(733\) 23326.9 + 13467.8i 1.17544 + 0.678642i 0.954956 0.296748i \(-0.0959021\pi\)
0.220487 + 0.975390i \(0.429235\pi\)
\(734\) −5041.43 −0.253519
\(735\) −8836.68 + 1151.61i −0.443464 + 0.0577931i
\(736\) −36841.2 −1.84509
\(737\) 12196.0 + 7041.38i 0.609561 + 0.351930i
\(738\) −941.678 + 4155.47i −0.0469697 + 0.207269i
\(739\) −1235.50 2139.96i −0.0615004 0.106522i 0.833636 0.552314i \(-0.186255\pi\)
−0.895136 + 0.445793i \(0.852922\pi\)
\(740\) 3808.07 6595.78i 0.189172 0.327656i
\(741\) 214.779 + 491.238i 0.0106479 + 0.0243537i
\(742\) 9934.39 + 13229.1i 0.491513 + 0.654525i
\(743\) 17603.7i 0.869201i −0.900623 0.434601i \(-0.856890\pi\)
0.900623 0.434601i \(-0.143110\pi\)
\(744\) −561.594 62.8354i −0.0276734 0.00309631i
\(745\) −8387.66 + 4842.62i −0.412483 + 0.238147i
\(746\) 8296.14 4789.78i 0.407163 0.235075i
\(747\) 10253.8 + 33059.7i 0.502229 + 1.61926i
\(748\) 1328.08i 0.0649190i
\(749\) −1061.65 8767.08i −0.0517913 0.427693i
\(750\) −826.173 + 361.219i −0.0402234 + 0.0175864i
\(751\) −1082.00 + 1874.07i −0.0525734 + 0.0910599i −0.891114 0.453779i \(-0.850076\pi\)
0.838541 + 0.544838i \(0.183409\pi\)
\(752\) 4286.00 + 7423.56i 0.207838 + 0.359986i
\(753\) 12942.6 17565.1i 0.626369 0.850079i
\(754\) −2243.80 1295.46i −0.108375 0.0625701i
\(755\) −16079.9 −0.775108
\(756\) 10608.9 11680.4i 0.510371 0.561919i
\(757\) 18589.0 0.892507 0.446254 0.894907i \(-0.352758\pi\)
0.446254 + 0.894907i \(0.352758\pi\)
\(758\) 2104.81 + 1215.21i 0.100858 + 0.0582303i
\(759\) 8137.98 11044.5i 0.389183 0.528181i
\(760\) −184.167 318.986i −0.00879003 0.0152248i
\(761\) 8739.70 15137.6i 0.416312 0.721074i −0.579253 0.815148i \(-0.696656\pi\)
0.995565 + 0.0940737i \(0.0299889\pi\)
\(762\) 7981.54 3489.68i 0.379450 0.165903i
\(763\) 4594.01 10772.9i 0.217974 0.511147i
\(764\) 2788.21i 0.132034i
\(765\) −655.837 2114.52i −0.0309959 0.0999354i
\(766\) 10359.4 5980.97i 0.488640 0.282117i
\(767\) 12052.9 6958.74i 0.567412 0.327595i
\(768\) 13389.0 + 1498.06i 0.629078 + 0.0703860i
\(769\) 6592.66i 0.309151i 0.987981 + 0.154576i \(0.0494010\pi\)
−0.987981 + 0.154576i \(0.950599\pi\)
\(770\) 1701.90 206.091i 0.0796521 0.00964544i
\(771\) 6942.33 + 15878.4i 0.324283 + 0.741694i