Properties

Label 32.4.g.a.21.4
Level $32$
Weight $4$
Character 32.21
Analytic conductor $1.888$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 32 = 2^{5} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 32.g (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.88806112018\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(11\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 21.4
Character \(\chi\) \(=\) 32.21
Dual form 32.4.g.a.29.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.98147 - 2.01836i) q^{2} +(5.53310 - 2.29188i) q^{3} +(-0.147593 + 7.99864i) q^{4} +(4.22177 - 10.1923i) q^{5} +(-15.5895 - 6.62652i) q^{6} +(-11.6451 - 11.6451i) q^{7} +(16.4366 - 15.5511i) q^{8} +(6.27055 - 6.27055i) q^{9} +O(q^{10})\) \(q+(-1.98147 - 2.01836i) q^{2} +(5.53310 - 2.29188i) q^{3} +(-0.147593 + 7.99864i) q^{4} +(4.22177 - 10.1923i) q^{5} +(-15.5895 - 6.62652i) q^{6} +(-11.6451 - 11.6451i) q^{7} +(16.4366 - 15.5511i) q^{8} +(6.27055 - 6.27055i) q^{9} +(-28.9370 + 11.6745i) q^{10} +(27.7531 + 11.4957i) q^{11} +(17.5153 + 44.5955i) q^{12} +(15.9612 + 38.5338i) q^{13} +(-0.429700 + 46.5783i) q^{14} -66.0706i q^{15} +(-63.9564 - 2.36108i) q^{16} +131.437i q^{17} +(-25.0812 - 0.231382i) q^{18} +(-13.7982 - 33.3119i) q^{19} +(80.9011 + 35.2727i) q^{20} +(-91.1226 - 37.7442i) q^{21} +(-31.7893 - 78.7943i) q^{22} +(128.594 - 128.594i) q^{23} +(55.3040 - 123.717i) q^{24} +(2.32952 + 2.32952i) q^{25} +(46.1486 - 108.569i) q^{26} +(-41.5567 + 100.327i) q^{27} +(94.8635 - 91.4261i) q^{28} +(-192.157 + 79.5938i) q^{29} +(-133.355 + 130.917i) q^{30} -215.350 q^{31} +(121.962 + 133.766i) q^{32} +179.908 q^{33} +(265.288 - 260.438i) q^{34} +(-167.853 + 69.5268i) q^{35} +(49.2304 + 51.0814i) q^{36} +(-9.39705 + 22.6865i) q^{37} +(-39.8948 + 93.8561i) q^{38} +(176.630 + 176.630i) q^{39} +(-89.1095 - 233.180i) q^{40} +(257.295 - 257.295i) q^{41} +(104.375 + 258.707i) q^{42} +(-81.5685 - 33.7868i) q^{43} +(-96.0463 + 220.291i) q^{44} +(-37.4383 - 90.3840i) q^{45} +(-514.355 - 4.74509i) q^{46} -113.432i q^{47} +(-359.289 + 133.517i) q^{48} -71.7841i q^{49} +(0.0859586 - 9.31768i) q^{50} +(301.238 + 727.254i) q^{51} +(-310.574 + 121.981i) q^{52} +(-11.8996 - 4.92896i) q^{53} +(284.839 - 114.917i) q^{54} +(234.335 - 234.335i) q^{55} +(-372.500 - 10.3116i) q^{56} +(-152.694 - 152.694i) q^{57} +(541.401 + 230.130i) q^{58} +(210.637 - 508.522i) q^{59} +(528.475 + 9.75153i) q^{60} +(-251.800 + 104.299i) q^{61} +(426.708 + 434.655i) q^{62} -146.042 q^{63} +(28.3249 - 511.216i) q^{64} +460.131 q^{65} +(-356.481 - 363.119i) q^{66} +(-418.173 + 173.213i) q^{67} +(-1051.32 - 19.3991i) q^{68} +(416.801 - 1006.25i) q^{69} +(472.925 + 201.023i) q^{70} +(-28.0923 - 28.0923i) q^{71} +(5.55253 - 200.581i) q^{72} +(-333.018 + 333.018i) q^{73} +(64.4096 - 25.9858i) q^{74} +(18.2285 + 7.55047i) q^{75} +(268.486 - 105.450i) q^{76} +(-189.319 - 457.056i) q^{77} +(6.51759 - 706.490i) q^{78} -38.8621i q^{79} +(-294.074 + 641.893i) q^{80} +889.794i q^{81} +(-1029.14 - 9.49412i) q^{82} +(229.913 + 555.060i) q^{83} +(315.351 - 723.286i) q^{84} +(1339.64 + 554.897i) q^{85} +(93.4311 + 231.582i) q^{86} +(-880.801 + 880.801i) q^{87} +(634.939 - 242.642i) q^{88} +(-872.568 - 872.568i) q^{89} +(-108.245 + 254.657i) q^{90} +(262.859 - 634.599i) q^{91} +(1009.60 + 1047.56i) q^{92} +(-1191.55 + 493.557i) q^{93} +(-228.947 + 224.761i) q^{94} -397.776 q^{95} +(981.403 + 460.617i) q^{96} -51.1346 q^{97} +(-144.886 + 142.238i) q^{98} +(246.112 - 101.943i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} + O(q^{10}) \) \( 44q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} + 116q^{10} - 4q^{11} - 52q^{12} - 4q^{13} - 212q^{14} - 304q^{16} - 184q^{18} - 4q^{19} + 76q^{20} - 4q^{21} + 192q^{22} + 324q^{23} - 48q^{24} - 4q^{25} + 16q^{26} - 268q^{27} + 376q^{28} - 4q^{29} + 1188q^{30} - 752q^{31} + 616q^{32} - 8q^{33} + 528q^{34} - 460q^{35} + 1456q^{36} - 4q^{37} + 980q^{38} + 596q^{39} - 536q^{40} - 4q^{41} - 2264q^{42} + 804q^{43} - 2044q^{44} + 104q^{45} - 1444q^{46} - 2448q^{48} - 3564q^{50} - 1384q^{51} - 2524q^{52} + 748q^{53} - 1088q^{54} - 292q^{55} + 1192q^{56} - 4q^{57} + 3200q^{58} + 1372q^{59} + 5752q^{60} - 1828q^{61} + 3384q^{62} + 2512q^{63} + 4952q^{64} - 8q^{65} + 5996q^{66} + 2036q^{67} + 2768q^{68} - 1060q^{69} + 1400q^{70} + 220q^{71} - 1708q^{72} - 4q^{73} - 3476q^{74} - 1712q^{75} - 5124q^{76} + 1900q^{77} - 11916q^{78} - 10312q^{80} - 6404q^{82} + 2436q^{83} - 6560q^{84} + 496q^{85} - 928q^{86} - 1292q^{87} + 1248q^{88} - 4q^{89} + 7400q^{90} - 3604q^{91} + 10152q^{92} - 112q^{93} + 12840q^{94} - 6088q^{95} + 17792q^{96} - 8q^{97} + 11224q^{98} - 5424q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(31\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.98147 2.01836i −0.700554 0.713600i
\(3\) 5.53310 2.29188i 1.06485 0.441073i 0.219676 0.975573i \(-0.429500\pi\)
0.845169 + 0.534499i \(0.179500\pi\)
\(4\) −0.147593 + 7.99864i −0.0184491 + 0.999830i
\(5\) 4.22177 10.1923i 0.377607 0.911624i −0.614807 0.788678i \(-0.710766\pi\)
0.992413 0.122946i \(-0.0392341\pi\)
\(6\) −15.5895 6.62652i −1.06073 0.450878i
\(7\) −11.6451 11.6451i −0.628775 0.628775i 0.318985 0.947760i \(-0.396658\pi\)
−0.947760 + 0.318985i \(0.896658\pi\)
\(8\) 16.4366 15.5511i 0.726403 0.687269i
\(9\) 6.27055 6.27055i 0.232243 0.232243i
\(10\) −28.9370 + 11.6745i −0.915068 + 0.369181i
\(11\) 27.7531 + 11.4957i 0.760717 + 0.315099i 0.729106 0.684401i \(-0.239936\pi\)
0.0316109 + 0.999500i \(0.489936\pi\)
\(12\) 17.5153 + 44.5955i 0.421353 + 1.07280i
\(13\) 15.9612 + 38.5338i 0.340527 + 0.822104i 0.997663 + 0.0683319i \(0.0217677\pi\)
−0.657136 + 0.753772i \(0.728232\pi\)
\(14\) −0.429700 + 46.5783i −0.00820302 + 0.889185i
\(15\) 66.0706i 1.13729i
\(16\) −63.9564 2.36108i −0.999319 0.0368919i
\(17\) 131.437i 1.87518i 0.347736 + 0.937592i \(0.386951\pi\)
−0.347736 + 0.937592i \(0.613049\pi\)
\(18\) −25.0812 0.231382i −0.328427 0.00302984i
\(19\) −13.7982 33.3119i −0.166607 0.402224i 0.818421 0.574619i \(-0.194850\pi\)
−0.985028 + 0.172394i \(0.944850\pi\)
\(20\) 80.9011 + 35.2727i 0.904502 + 0.394361i
\(21\) −91.1226 37.7442i −0.946884 0.392212i
\(22\) −31.7893 78.7943i −0.308068 0.763591i
\(23\) 128.594 128.594i 1.16582 1.16582i 0.182634 0.983181i \(-0.441538\pi\)
0.983181 0.182634i \(-0.0584624\pi\)
\(24\) 55.3040 123.717i 0.470370 1.05223i
\(25\) 2.32952 + 2.32952i 0.0186362 + 0.0186362i
\(26\) 46.1486 108.569i 0.348096 0.818928i
\(27\) −41.5567 + 100.327i −0.296207 + 0.715106i
\(28\) 94.8635 91.4261i 0.640269 0.617068i
\(29\) −192.157 + 79.5938i −1.23043 + 0.509662i −0.900712 0.434416i \(-0.856955\pi\)
−0.329721 + 0.944078i \(0.606955\pi\)
\(30\) −133.355 + 130.917i −0.811570 + 0.796733i
\(31\) −215.350 −1.24768 −0.623839 0.781553i \(-0.714428\pi\)
−0.623839 + 0.781553i \(0.714428\pi\)
\(32\) 121.962 + 133.766i 0.673751 + 0.738959i
\(33\) 179.908 0.949027
\(34\) 265.288 260.438i 1.33813 1.31367i
\(35\) −167.853 + 69.5268i −0.810636 + 0.335777i
\(36\) 49.2304 + 51.0814i 0.227919 + 0.236488i
\(37\) −9.39705 + 22.6865i −0.0417531 + 0.100801i −0.943380 0.331713i \(-0.892373\pi\)
0.901627 + 0.432514i \(0.142373\pi\)
\(38\) −39.8948 + 93.8561i −0.170310 + 0.400670i
\(39\) 176.630 + 176.630i 0.725216 + 0.725216i
\(40\) −89.1095 233.180i −0.352236 0.921723i
\(41\) 257.295 257.295i 0.980067 0.980067i −0.0197381 0.999805i \(-0.506283\pi\)
0.999805 + 0.0197381i \(0.00628325\pi\)
\(42\) 104.375 + 258.707i 0.383461 + 0.950462i
\(43\) −81.5685 33.7868i −0.289281 0.119824i 0.233324 0.972399i \(-0.425040\pi\)
−0.522605 + 0.852575i \(0.675040\pi\)
\(44\) −96.0463 + 220.291i −0.329080 + 0.754774i
\(45\) −37.4383 90.3840i −0.124022 0.299414i
\(46\) −514.355 4.74509i −1.64864 0.0152092i
\(47\) 113.432i 0.352037i −0.984387 0.176018i \(-0.943678\pi\)
0.984387 0.176018i \(-0.0563218\pi\)
\(48\) −359.289 + 133.517i −1.08039 + 0.401489i
\(49\) 71.7841i 0.209283i
\(50\) 0.0859586 9.31768i 0.000243128 0.0263544i
\(51\) 301.238 + 727.254i 0.827094 + 1.99678i
\(52\) −310.574 + 121.981i −0.828246 + 0.325302i
\(53\) −11.8996 4.92896i −0.0308402 0.0127744i 0.367210 0.930138i \(-0.380313\pi\)
−0.398050 + 0.917364i \(0.630313\pi\)
\(54\) 284.839 114.917i 0.717809 0.289597i
\(55\) 234.335 234.335i 0.574504 0.574504i
\(56\) −372.500 10.3116i −0.888882 0.0246063i
\(57\) −152.694 152.694i −0.354821 0.354821i
\(58\) 541.401 + 230.130i 1.22568 + 0.520991i
\(59\) 210.637 508.522i 0.464789 1.12210i −0.501619 0.865088i \(-0.667262\pi\)
0.966408 0.257011i \(-0.0827378\pi\)
\(60\) 528.475 + 9.75153i 1.13710 + 0.0209819i
\(61\) −251.800 + 104.299i −0.528519 + 0.218920i −0.630954 0.775820i \(-0.717336\pi\)
0.102436 + 0.994740i \(0.467336\pi\)
\(62\) 426.708 + 434.655i 0.874065 + 0.890342i
\(63\) −146.042 −0.292057
\(64\) 28.3249 511.216i 0.0553221 0.998469i
\(65\) 460.131 0.878034
\(66\) −356.481 363.119i −0.664844 0.677226i
\(67\) −418.173 + 173.213i −0.762507 + 0.315841i −0.729833 0.683625i \(-0.760402\pi\)
−0.0326737 + 0.999466i \(0.510402\pi\)
\(68\) −1051.32 19.3991i −1.87487 0.0345954i
\(69\) 416.801 1006.25i 0.727203 1.75562i
\(70\) 472.925 + 201.023i 0.807504 + 0.343240i
\(71\) −28.0923 28.0923i −0.0469569 0.0469569i 0.683238 0.730195i \(-0.260571\pi\)
−0.730195 + 0.683238i \(0.760571\pi\)
\(72\) 5.55253 200.581i 0.00908850 0.328315i
\(73\) −333.018 + 333.018i −0.533928 + 0.533928i −0.921739 0.387811i \(-0.873231\pi\)
0.387811 + 0.921739i \(0.373231\pi\)
\(74\) 64.4096 25.9858i 0.101182 0.0408215i
\(75\) 18.2285 + 7.55047i 0.0280645 + 0.0116247i
\(76\) 268.486 105.450i 0.405230 0.159158i
\(77\) −189.319 457.056i −0.280193 0.676446i
\(78\) 6.51759 706.490i 0.00946118 1.02557i
\(79\) 38.8621i 0.0553460i −0.999617 0.0276730i \(-0.991190\pi\)
0.999617 0.0276730i \(-0.00880971\pi\)
\(80\) −294.074 + 641.893i −0.410981 + 0.897072i
\(81\) 889.794i 1.22057i
\(82\) −1029.14 9.49412i −1.38597 0.0127860i
\(83\) 229.913 + 555.060i 0.304051 + 0.734045i 0.999875 + 0.0158320i \(0.00503969\pi\)
−0.695823 + 0.718213i \(0.744960\pi\)
\(84\) 315.351 723.286i 0.409615 0.939487i
\(85\) 1339.64 + 554.897i 1.70946 + 0.708083i
\(86\) 93.4311 + 231.582i 0.117150 + 0.290374i
\(87\) −880.801 + 880.801i −1.08542 + 1.08542i
\(88\) 634.939 242.642i 0.769145 0.293928i
\(89\) −872.568 872.568i −1.03924 1.03924i −0.999198 0.0400377i \(-0.987252\pi\)
−0.0400377 0.999198i \(-0.512748\pi\)
\(90\) −108.245 + 254.657i −0.126778 + 0.298258i
\(91\) 262.859 634.599i 0.302804 0.731033i
\(92\) 1009.60 + 1047.56i 1.14411 + 1.18712i
\(93\) −1191.55 + 493.557i −1.32858 + 0.550317i
\(94\) −228.947 + 224.761i −0.251213 + 0.246621i
\(95\) −397.776 −0.429589
\(96\) 981.403 + 460.617i 1.04338 + 0.489703i
\(97\) −51.1346 −0.0535251 −0.0267625 0.999642i \(-0.508520\pi\)
−0.0267625 + 0.999642i \(0.508520\pi\)
\(98\) −144.886 + 142.238i −0.149344 + 0.146614i
\(99\) 246.112 101.943i 0.249850 0.103491i
\(100\) −18.9768 + 18.2892i −0.0189768 + 0.0182892i
\(101\) −153.885 + 371.512i −0.151606 + 0.366008i −0.981376 0.192096i \(-0.938471\pi\)
0.829770 + 0.558105i \(0.188471\pi\)
\(102\) 870.970 2049.04i 0.845479 1.98907i
\(103\) 601.189 + 601.189i 0.575115 + 0.575115i 0.933553 0.358438i \(-0.116691\pi\)
−0.358438 + 0.933553i \(0.616691\pi\)
\(104\) 861.592 + 385.150i 0.812366 + 0.363145i
\(105\) −769.398 + 769.398i −0.715100 + 0.715100i
\(106\) 13.6301 + 33.7842i 0.0124894 + 0.0309567i
\(107\) −825.321 341.859i −0.745671 0.308867i −0.0226969 0.999742i \(-0.507225\pi\)
−0.722974 + 0.690875i \(0.757225\pi\)
\(108\) −796.343 347.204i −0.709520 0.309349i
\(109\) 790.968 + 1909.57i 0.695055 + 1.67801i 0.734338 + 0.678784i \(0.237493\pi\)
−0.0392828 + 0.999228i \(0.512507\pi\)
\(110\) −937.299 8.64689i −0.812436 0.00749498i
\(111\) 147.064i 0.125754i
\(112\) 717.283 + 772.273i 0.605151 + 0.651544i
\(113\) 717.104i 0.596987i −0.954412 0.298493i \(-0.903516\pi\)
0.954412 0.298493i \(-0.0964841\pi\)
\(114\) −5.63436 + 610.749i −0.00462900 + 0.501771i
\(115\) −767.770 1853.56i −0.622565 1.50300i
\(116\) −608.282 1548.74i −0.486875 1.23963i
\(117\) 341.714 + 141.543i 0.270013 + 0.111843i
\(118\) −1443.75 + 582.476i −1.12634 + 0.454418i
\(119\) 1530.59 1530.59i 1.17907 1.17907i
\(120\) −1027.47 1085.98i −0.781625 0.826131i
\(121\) −303.075 303.075i −0.227705 0.227705i
\(122\) 709.445 + 301.559i 0.526477 + 0.223786i
\(123\) 833.948 2013.33i 0.611338 1.47590i
\(124\) 31.7841 1722.51i 0.0230185 1.24746i
\(125\) 1307.61 541.630i 0.935650 0.387559i
\(126\) 289.378 + 294.767i 0.204602 + 0.208412i
\(127\) −713.424 −0.498474 −0.249237 0.968443i \(-0.580180\pi\)
−0.249237 + 0.968443i \(0.580180\pi\)
\(128\) −1087.94 + 955.786i −0.751263 + 0.660003i
\(129\) −528.762 −0.360890
\(130\) −911.734 928.712i −0.615110 0.626565i
\(131\) 918.787 380.574i 0.612784 0.253824i −0.0546341 0.998506i \(-0.517399\pi\)
0.667419 + 0.744683i \(0.267399\pi\)
\(132\) −26.5530 + 1439.02i −0.0175087 + 0.948866i
\(133\) −227.238 + 548.601i −0.148151 + 0.357667i
\(134\) 1178.20 + 500.810i 0.759561 + 0.322861i
\(135\) 847.113 + 847.113i 0.540058 + 0.540058i
\(136\) 2043.99 + 2160.38i 1.28876 + 1.36214i
\(137\) 1589.55 1589.55i 0.991274 0.991274i −0.00868786 0.999962i \(-0.502765\pi\)
0.999962 + 0.00868786i \(0.00276547\pi\)
\(138\) −2856.85 + 1152.59i −1.76226 + 0.710976i
\(139\) 828.901 + 343.342i 0.505802 + 0.209510i 0.620967 0.783836i \(-0.286740\pi\)
−0.115166 + 0.993346i \(0.536740\pi\)
\(140\) −531.346 1352.85i −0.320764 0.816693i
\(141\) −259.972 627.629i −0.155274 0.374865i
\(142\) −1.03660 + 112.364i −0.000612601 + 0.0664043i
\(143\) 1252.92i 0.732688i
\(144\) −415.848 + 386.237i −0.240653 + 0.223517i
\(145\) 2294.54i 1.31414i
\(146\) 1332.01 + 12.2883i 0.755056 + 0.00696564i
\(147\) −164.521 397.188i −0.0923092 0.222854i
\(148\) −180.074 78.5120i −0.100014 0.0436057i
\(149\) −1399.70 579.774i −0.769582 0.318771i −0.0368792 0.999320i \(-0.511742\pi\)
−0.732703 + 0.680548i \(0.761742\pi\)
\(150\) −20.8794 51.7527i −0.0113653 0.0281706i
\(151\) −521.322 + 521.322i −0.280958 + 0.280958i −0.833491 0.552533i \(-0.813661\pi\)
0.552533 + 0.833491i \(0.313661\pi\)
\(152\) −744.833 332.956i −0.397460 0.177673i
\(153\) 824.183 + 824.183i 0.435498 + 0.435498i
\(154\) −547.377 + 1287.76i −0.286422 + 0.673833i
\(155\) −909.159 + 2194.90i −0.471131 + 1.13741i
\(156\) −1438.87 + 1386.73i −0.738472 + 0.711713i
\(157\) 1501.66 622.009i 0.763348 0.316189i 0.0331736 0.999450i \(-0.489439\pi\)
0.730175 + 0.683260i \(0.239439\pi\)
\(158\) −78.4380 + 77.0040i −0.0394949 + 0.0387728i
\(159\) −77.1380 −0.0384745
\(160\) 1878.27 678.339i 0.928065 0.335171i
\(161\) −2994.98 −1.46607
\(162\) 1795.93 1763.10i 0.870997 0.855073i
\(163\) −1676.94 + 694.610i −0.805815 + 0.333779i −0.747283 0.664506i \(-0.768642\pi\)
−0.0585321 + 0.998286i \(0.518642\pi\)
\(164\) 2020.04 + 2095.99i 0.961819 + 0.997982i
\(165\) 759.529 1833.67i 0.358359 0.865156i
\(166\) 664.748 1563.88i 0.310810 0.731209i
\(167\) −664.730 664.730i −0.308014 0.308014i 0.536125 0.844139i \(-0.319888\pi\)
−0.844139 + 0.536125i \(0.819888\pi\)
\(168\) −2084.71 + 796.671i −0.957375 + 0.365860i
\(169\) 323.421 323.421i 0.147210 0.147210i
\(170\) −1534.46 3803.39i −0.692283 1.71592i
\(171\) −295.406 122.361i −0.132107 0.0547205i
\(172\) 282.287 647.450i 0.125141 0.287021i
\(173\) 190.687 + 460.359i 0.0838016 + 0.202315i 0.960226 0.279225i \(-0.0900776\pi\)
−0.876424 + 0.481540i \(0.840078\pi\)
\(174\) 3523.05 + 32.5013i 1.53495 + 0.0141604i
\(175\) 54.2549i 0.0234359i
\(176\) −1747.85 800.753i −0.748574 0.342949i
\(177\) 3296.45i 1.39987i
\(178\) −32.1975 + 3490.12i −0.0135579 + 1.46964i
\(179\) 1230.51 + 2970.71i 0.513814 + 1.24046i 0.941648 + 0.336599i \(0.109277\pi\)
−0.427835 + 0.903857i \(0.640723\pi\)
\(180\) 728.474 286.115i 0.301652 0.118476i
\(181\) −1720.96 712.847i −0.706731 0.292738i 0.000220198 1.00000i \(-0.499930\pi\)
−0.706951 + 0.707262i \(0.749930\pi\)
\(182\) −1801.70 + 726.889i −0.733796 + 0.296047i
\(183\) −1154.19 + 1154.19i −0.466231 + 0.466231i
\(184\) 113.869 4113.44i 0.0456226 1.64808i
\(185\) 191.554 + 191.554i 0.0761263 + 0.0761263i
\(186\) 3357.20 + 1427.02i 1.32345 + 0.562550i
\(187\) −1510.96 + 3647.79i −0.590869 + 1.42648i
\(188\) 907.300 + 16.7417i 0.351977 + 0.00649475i
\(189\) 1652.24 684.381i 0.635889 0.263394i
\(190\) 788.180 + 802.857i 0.300950 + 0.306555i
\(191\) −454.987 −0.172365 −0.0861825 0.996279i \(-0.527467\pi\)
−0.0861825 + 0.996279i \(0.527467\pi\)
\(192\) −1014.92 2893.52i −0.381488 1.08762i
\(193\) 3199.61 1.19333 0.596666 0.802490i \(-0.296492\pi\)
0.596666 + 0.802490i \(0.296492\pi\)
\(194\) 101.321 + 103.208i 0.0374972 + 0.0381955i
\(195\) 2545.95 1054.57i 0.934971 0.387278i
\(196\) 574.175 + 10.5948i 0.209247 + 0.00386108i
\(197\) −1023.92 + 2471.95i −0.370309 + 0.894006i 0.623388 + 0.781912i \(0.285756\pi\)
−0.993698 + 0.112093i \(0.964244\pi\)
\(198\) −693.420 294.747i −0.248885 0.105792i
\(199\) −2332.44 2332.44i −0.830867 0.830867i 0.156768 0.987635i \(-0.449892\pi\)
−0.987635 + 0.156768i \(0.949892\pi\)
\(200\) 74.5161 + 2.06277i 0.0263454 + 0.000729300i
\(201\) −1916.81 + 1916.81i −0.672643 + 0.672643i
\(202\) 1054.77 425.542i 0.367391 0.148223i
\(203\) 3164.56 + 1310.80i 1.09413 + 0.453203i
\(204\) −5861.50 + 2302.16i −2.01170 + 0.790114i
\(205\) −1536.18 3708.66i −0.523372 1.26353i
\(206\) 22.1837 2404.65i 0.00750297 0.813301i
\(207\) 1612.71i 0.541504i
\(208\) −929.841 2502.17i −0.309966 0.834107i
\(209\) 1083.13i 0.358476i
\(210\) 3077.46 + 28.3905i 1.01126 + 0.00932921i
\(211\) −2070.04 4997.52i −0.675390 1.63054i −0.772311 0.635245i \(-0.780899\pi\)
0.0969206 0.995292i \(-0.469101\pi\)
\(212\) 41.1812 94.4528i 0.0133412 0.0305993i
\(213\) −219.822 91.0531i −0.0707133 0.0292904i
\(214\) 945.348 + 2343.18i 0.301975 + 0.748488i
\(215\) −688.727 + 688.727i −0.218469 + 0.218469i
\(216\) 877.142 + 2295.28i 0.276305 + 0.723029i
\(217\) 2507.77 + 2507.77i 0.784509 + 0.784509i
\(218\) 2286.93 5380.20i 0.710505 1.67153i
\(219\) −1079.38 + 2605.86i −0.333049 + 0.804052i
\(220\) 1839.77 + 1908.95i 0.563807 + 0.585005i
\(221\) −5064.76 + 2097.89i −1.54160 + 0.638550i
\(222\) 296.828 291.401i 0.0897378 0.0880972i
\(223\) 6620.99 1.98822 0.994112 0.108357i \(-0.0345589\pi\)
0.994112 + 0.108357i \(0.0345589\pi\)
\(224\) 137.457 2977.97i 0.0410011 0.888277i
\(225\) 29.2148 0.00865623
\(226\) −1447.38 + 1420.92i −0.426010 + 0.418221i
\(227\) −1044.31 + 432.568i −0.305345 + 0.126478i −0.530095 0.847939i \(-0.677844\pi\)
0.224750 + 0.974417i \(0.427844\pi\)
\(228\) 1243.88 1198.81i 0.361307 0.348214i
\(229\) −986.462 + 2381.53i −0.284660 + 0.687231i −0.999933 0.0116150i \(-0.996303\pi\)
0.715272 + 0.698846i \(0.246303\pi\)
\(230\) −2219.85 + 5222.41i −0.636403 + 1.49720i
\(231\) −2095.04 2095.04i −0.596725 0.596725i
\(232\) −1920.63 + 4296.50i −0.543515 + 1.21586i
\(233\) 978.403 978.403i 0.275096 0.275096i −0.556052 0.831148i \(-0.687684\pi\)
0.831148 + 0.556052i \(0.187684\pi\)
\(234\) −391.410 970.165i −0.109347 0.271033i
\(235\) −1156.13 478.883i −0.320925 0.132931i
\(236\) 4036.39 + 1759.86i 1.11333 + 0.485412i
\(237\) −89.0675 215.028i −0.0244116 0.0589349i
\(238\) −6122.12 56.4785i −1.66739 0.0153822i
\(239\) 706.309i 0.191160i −0.995422 0.0955801i \(-0.969529\pi\)
0.995422 0.0955801i \(-0.0304706\pi\)
\(240\) −155.998 + 4225.64i −0.0419568 + 1.13652i
\(241\) 1700.85i 0.454611i −0.973824 0.227305i \(-0.927008\pi\)
0.973824 0.227305i \(-0.0729916\pi\)
\(242\) −11.1834 + 1212.25i −0.00297064 + 0.322009i
\(243\) 917.274 + 2214.50i 0.242153 + 0.584609i
\(244\) −797.085 2029.45i −0.209132 0.532468i
\(245\) −731.642 303.056i −0.190787 0.0790267i
\(246\) −5716.07 + 2306.13i −1.48148 + 0.597697i
\(247\) 1063.40 1063.40i 0.273936 0.273936i
\(248\) −3539.63 + 3348.93i −0.906316 + 0.857490i
\(249\) 2544.27 + 2544.27i 0.647535 + 0.647535i
\(250\) −3684.19 1566.01i −0.932035 0.396174i
\(251\) −436.343 + 1053.43i −0.109728 + 0.264907i −0.969200 0.246277i \(-0.920793\pi\)
0.859472 + 0.511184i \(0.170793\pi\)
\(252\) 21.5548 1168.14i 0.00538818 0.292007i
\(253\) 5047.17 2090.61i 1.25420 0.519508i
\(254\) 1413.63 + 1439.95i 0.349208 + 0.355711i
\(255\) 8684.12 2.13263
\(256\) 4084.85 + 302.012i 0.997278 + 0.0737335i
\(257\) 7006.16 1.70052 0.850258 0.526366i \(-0.176446\pi\)
0.850258 + 0.526366i \(0.176446\pi\)
\(258\) 1047.72 + 1067.23i 0.252823 + 0.257531i
\(259\) 373.616 154.757i 0.0896345 0.0371278i
\(260\) −67.9119 + 3680.42i −0.0161989 + 0.877885i
\(261\) −705.831 + 1704.03i −0.167394 + 0.404125i
\(262\) −2588.68 1100.35i −0.610417 0.259466i
\(263\) −361.548 361.548i −0.0847681 0.0847681i 0.663451 0.748219i \(-0.269091\pi\)
−0.748219 + 0.663451i \(0.769091\pi\)
\(264\) 2957.07 2797.77i 0.689376 0.652237i
\(265\) −100.474 + 100.474i −0.0232909 + 0.0232909i
\(266\) 1557.54 628.384i 0.359019 0.144845i
\(267\) −6827.83 2828.18i −1.56500 0.648246i
\(268\) −1323.75 3370.38i −0.301719 0.768204i
\(269\) 45.5340 + 109.929i 0.0103207 + 0.0249163i 0.928956 0.370190i \(-0.120708\pi\)
−0.918635 + 0.395107i \(0.870708\pi\)
\(270\) 31.2582 3388.31i 0.00704561 0.763725i
\(271\) 3443.94i 0.771972i −0.922505 0.385986i \(-0.873861\pi\)
0.922505 0.385986i \(-0.126139\pi\)
\(272\) 310.333 8406.24i 0.0691791 1.87391i
\(273\) 4113.74i 0.911996i
\(274\) −6357.94 58.6540i −1.40181 0.0129322i
\(275\) 37.8720 + 91.4310i 0.00830460 + 0.0200491i
\(276\) 7987.09 + 3482.36i 1.74191 + 0.759468i
\(277\) −2101.15 870.326i −0.455762 0.188783i 0.142979 0.989726i \(-0.454332\pi\)
−0.598741 + 0.800943i \(0.704332\pi\)
\(278\) −949.449 2353.34i −0.204835 0.507713i
\(279\) −1350.36 + 1350.36i −0.289764 + 0.289764i
\(280\) −1677.71 + 3753.08i −0.358080 + 0.801034i
\(281\) 2252.56 + 2252.56i 0.478207 + 0.478207i 0.904558 0.426351i \(-0.140201\pi\)
−0.426351 + 0.904558i \(0.640201\pi\)
\(282\) −751.658 + 1768.34i −0.158725 + 0.373416i
\(283\) 2659.18 6419.84i 0.558559 1.34848i −0.352349 0.935869i \(-0.614617\pi\)
0.910907 0.412611i \(-0.135383\pi\)
\(284\) 228.846 220.554i 0.0478153 0.0460826i
\(285\) −2200.93 + 911.657i −0.457446 + 0.189480i
\(286\) 2528.85 2482.61i 0.522846 0.513287i
\(287\) −5992.45 −1.23248
\(288\) 1603.55 + 74.0169i 0.328092 + 0.0151441i
\(289\) −12362.7 −2.51632
\(290\) 4631.21 4546.54i 0.937773 0.920629i
\(291\) −282.933 + 117.195i −0.0569959 + 0.0236085i
\(292\) −2614.54 2712.84i −0.523987 0.543688i
\(293\) −1751.78 + 4229.17i −0.349284 + 0.843245i 0.647421 + 0.762132i \(0.275847\pi\)
−0.996705 + 0.0811131i \(0.974153\pi\)
\(294\) −475.679 + 1119.08i −0.0943611 + 0.221993i
\(295\) −4293.73 4293.73i −0.847425 0.847425i
\(296\) 198.345 + 519.024i 0.0389478 + 0.101918i
\(297\) −2306.65 + 2306.65i −0.450659 + 0.450659i
\(298\) 1603.26 + 3973.90i 0.311659 + 0.772490i
\(299\) 7007.74 + 2902.70i 1.35541 + 0.561430i
\(300\) −63.0839 + 144.688i −0.0121405 + 0.0278453i
\(301\) 556.422 + 1343.32i 0.106550 + 0.257235i
\(302\) 2085.20 + 19.2366i 0.397317 + 0.00366538i
\(303\) 2408.30i 0.456612i
\(304\) 803.833 + 2163.09i 0.151655 + 0.408097i
\(305\) 3006.73i 0.564476i
\(306\) 30.4121 3296.59i 0.00568152 0.615861i
\(307\) −172.273 415.904i −0.0320265 0.0773189i 0.907057 0.421008i \(-0.138323\pi\)
−0.939084 + 0.343689i \(0.888323\pi\)
\(308\) 3683.77 1446.83i 0.681501 0.267666i
\(309\) 4704.29 + 1948.58i 0.866077 + 0.358741i
\(310\) 6231.58 2514.11i 1.14171 0.460619i
\(311\) 1586.57 1586.57i 0.289279 0.289279i −0.547516 0.836795i \(-0.684426\pi\)
0.836795 + 0.547516i \(0.184426\pi\)
\(312\) 5649.99 + 156.405i 1.02522 + 0.0283803i
\(313\) 1221.66 + 1221.66i 0.220615 + 0.220615i 0.808757 0.588143i \(-0.200141\pi\)
−0.588143 + 0.808757i \(0.700141\pi\)
\(314\) −4230.93 1798.41i −0.760399 0.323218i
\(315\) −616.557 + 1488.50i −0.110283 + 0.266246i
\(316\) 310.844 + 5.73576i 0.0553366 + 0.00102108i
\(317\) 1676.17 694.291i 0.296981 0.123013i −0.229218 0.973375i \(-0.573617\pi\)
0.526199 + 0.850362i \(0.323617\pi\)
\(318\) 152.846 + 155.693i 0.0269534 + 0.0274554i
\(319\) −6247.93 −1.09661
\(320\) −5090.86 2446.93i −0.889337 0.427461i
\(321\) −5350.08 −0.930257
\(322\) 5934.45 + 6044.96i 1.02706 + 1.04619i
\(323\) 4378.41 1813.60i 0.754245 0.312419i
\(324\) −7117.14 131.327i −1.22036 0.0225183i
\(325\) −52.5833 + 126.947i −0.00897475 + 0.0216670i
\(326\) 4724.77 + 2008.33i 0.802702 + 0.341199i
\(327\) 8753.01 + 8753.01i 1.48025 + 1.48025i
\(328\) 227.833 8230.29i 0.0383536 1.38549i
\(329\) −1320.92 + 1320.92i −0.221352 + 0.221352i
\(330\) −5205.99 + 2100.34i −0.868425 + 0.350363i
\(331\) 1687.62 + 699.037i 0.280242 + 0.116080i 0.518378 0.855152i \(-0.326536\pi\)
−0.238135 + 0.971232i \(0.576536\pi\)
\(332\) −4473.66 + 1757.07i −0.739530 + 0.290457i
\(333\) 83.3322 + 201.182i 0.0137134 + 0.0331072i
\(334\) −24.5284 + 2658.81i −0.00401836 + 0.435579i
\(335\) 4993.39i 0.814383i
\(336\) 5738.76 + 2629.13i 0.931770 + 0.426878i
\(337\) 7042.63i 1.13839i 0.822203 + 0.569194i \(0.192745\pi\)
−0.822203 + 0.569194i \(0.807255\pi\)
\(338\) −1293.63 11.9341i −0.208178 0.00192051i
\(339\) −1643.52 3967.81i −0.263315 0.635699i
\(340\) −4636.14 + 10633.4i −0.739500 + 1.69611i
\(341\) −5976.63 2475.60i −0.949129 0.393142i
\(342\) 338.368 + 838.692i 0.0534995 + 0.132606i
\(343\) −4830.20 + 4830.20i −0.760367 + 0.760367i
\(344\) −1866.13 + 713.141i −0.292486 + 0.111773i
\(345\) −8496.30 8496.30i −1.32587 1.32587i
\(346\) 551.333 1297.06i 0.0856643 0.201533i
\(347\) −1762.67 + 4255.46i −0.272695 + 0.658343i −0.999597 0.0283982i \(-0.990959\pi\)
0.726902 + 0.686741i \(0.240959\pi\)
\(348\) −6915.21 7175.21i −1.06521 1.10526i
\(349\) 10776.6 4463.83i 1.65289 0.684651i 0.655392 0.755289i \(-0.272503\pi\)
0.997502 + 0.0706374i \(0.0225033\pi\)
\(350\) −109.506 + 107.504i −0.0167239 + 0.0164181i
\(351\) −4529.26 −0.688758
\(352\) 1847.09 + 5114.46i 0.279688 + 0.774436i
\(353\) 9544.92 1.43916 0.719582 0.694407i \(-0.244333\pi\)
0.719582 + 0.694407i \(0.244333\pi\)
\(354\) −6653.45 + 6531.81i −0.998946 + 0.980683i
\(355\) −404.923 + 167.725i −0.0605383 + 0.0250758i
\(356\) 7108.14 6850.57i 1.05823 1.01989i
\(357\) 4960.98 11976.9i 0.735471 1.77558i
\(358\) 3557.77 8369.98i 0.525235 1.23566i
\(359\) −5623.45 5623.45i −0.826725 0.826725i 0.160338 0.987062i \(-0.448742\pi\)
−0.987062 + 0.160338i \(0.948742\pi\)
\(360\) −2020.93 903.400i −0.295868 0.132259i
\(361\) 3930.76 3930.76i 0.573080 0.573080i
\(362\) 1971.25 + 4886.02i 0.286206 + 0.709401i
\(363\) −2371.55 982.330i −0.342904 0.142036i
\(364\) 5037.13 + 2196.18i 0.725323 + 0.316239i
\(365\) 1988.28 + 4800.13i 0.285127 + 0.688356i
\(366\) 4616.57 + 42.5893i 0.659322 + 0.00608246i
\(367\) 5141.87i 0.731344i 0.930744 + 0.365672i \(0.119161\pi\)
−0.930744 + 0.365672i \(0.880839\pi\)
\(368\) −8528.05 + 7920.81i −1.20803 + 1.12201i
\(369\) 3226.77i 0.455227i
\(370\) 7.06830 766.185i 0.000993145 0.107654i
\(371\) 81.1732 + 195.969i 0.0113593 + 0.0274238i
\(372\) −3771.92 9603.64i −0.525712 1.33851i
\(373\) 5767.56 + 2389.00i 0.800625 + 0.331630i 0.745207 0.666833i \(-0.232351\pi\)
0.0554183 + 0.998463i \(0.482351\pi\)
\(374\) 10356.5 4178.29i 1.43187 0.577685i
\(375\) 5993.78 5993.78i 0.825380 0.825380i
\(376\) −1763.99 1864.43i −0.241944 0.255720i
\(377\) −6134.10 6134.10i −0.837991 0.837991i
\(378\) −4655.19 1978.75i −0.633432 0.269249i
\(379\) −961.979 + 2322.42i −0.130379 + 0.314762i −0.975565 0.219709i \(-0.929489\pi\)
0.845187 + 0.534471i \(0.179489\pi\)
\(380\) 58.7088 3181.67i 0.00792552 0.429516i
\(381\) −3947.45 + 1635.09i −0.530798 + 0.219864i
\(382\) 901.542 + 918.330i 0.120751 + 0.123000i
\(383\) −2634.68 −0.351503 −0.175752 0.984435i \(-0.556236\pi\)
−0.175752 + 0.984435i \(0.556236\pi\)
\(384\) −3829.15 + 7781.90i −0.508869 + 1.03416i
\(385\) −5457.70 −0.722467
\(386\) −6339.91 6457.98i −0.835993 0.851561i
\(387\) −723.341 + 299.618i −0.0950116 + 0.0393551i
\(388\) 7.54709 409.007i 0.000987488 0.0535159i
\(389\) 4066.54 9817.49i 0.530030 1.27961i −0.401473 0.915871i \(-0.631502\pi\)
0.931503 0.363734i \(-0.118498\pi\)
\(390\) −7173.21 3049.07i −0.931358 0.395886i
\(391\) 16902.0 + 16902.0i 2.18612 + 2.18612i
\(392\) −1116.32 1179.89i −0.143834 0.152024i
\(393\) 4211.51 4211.51i 0.540566 0.540566i
\(394\) 7018.15 2831.45i 0.897384 0.362046i
\(395\) −396.093 164.067i −0.0504547 0.0208990i
\(396\) 779.080 + 1983.61i 0.0988643 + 0.251717i
\(397\) −1600.83 3864.76i −0.202377 0.488581i 0.789809 0.613353i \(-0.210180\pi\)
−0.992185 + 0.124773i \(0.960180\pi\)
\(398\) −86.0665 + 9329.38i −0.0108395 + 1.17497i
\(399\) 3556.26i 0.446205i
\(400\) −143.488 154.488i −0.0179360 0.0193110i
\(401\) 2096.79i 0.261119i −0.991440 0.130560i \(-0.958323\pi\)
0.991440 0.130560i \(-0.0416774\pi\)
\(402\) 7666.90 + 70.7297i 0.951220 + 0.00877531i
\(403\) −3437.25 8298.25i −0.424867 1.02572i
\(404\) −2948.88 1285.71i −0.363149 0.158332i
\(405\) 9069.01 + 3756.51i 1.11270 + 0.460895i
\(406\) −3624.78 8984.54i −0.443091 1.09826i
\(407\) −521.595 + 521.595i −0.0635246 + 0.0635246i
\(408\) 16261.0 + 7268.99i 1.97313 + 0.882032i
\(409\) −2541.72 2541.72i −0.307286 0.307286i 0.536570 0.843856i \(-0.319720\pi\)
−0.843856 + 0.536570i \(0.819720\pi\)
\(410\) −4441.55 + 10449.1i −0.535006 + 1.25865i
\(411\) 5152.08 12438.2i 0.618329 1.49278i
\(412\) −4897.42 + 4719.96i −0.585628 + 0.564407i
\(413\) −8374.66 + 3468.90i −0.997796 + 0.413301i
\(414\) −3255.05 + 3195.54i −0.386417 + 0.379353i
\(415\) 6627.96 0.783985
\(416\) −3207.84 + 6834.72i −0.378071 + 0.805528i
\(417\) 5373.29 0.631010
\(418\) −2186.15 + 2146.18i −0.255809 + 0.251132i
\(419\) −10221.3 + 4233.80i −1.19175 + 0.493639i −0.888324 0.459217i \(-0.848130\pi\)
−0.303425 + 0.952855i \(0.598130\pi\)
\(420\) −6040.58 6267.69i −0.701785 0.728171i
\(421\) −1917.63 + 4629.56i −0.221994 + 0.535940i −0.995161 0.0982623i \(-0.968672\pi\)
0.773167 + 0.634203i \(0.218672\pi\)
\(422\) −5985.10 + 14080.5i −0.690403 + 1.62424i
\(423\) −711.280 711.280i −0.0817580 0.0817580i
\(424\) −272.239 + 104.036i −0.0311819 + 0.0119161i
\(425\) −306.185 + 306.185i −0.0349462 + 0.0349462i
\(426\) 251.791 + 624.099i 0.0286368 + 0.0709805i
\(427\) 4146.80 + 1717.66i 0.469971 + 0.194668i
\(428\) 2856.22 6550.99i 0.322571 0.739845i
\(429\) 2871.54 + 6932.52i 0.323169 + 0.780199i
\(430\) 2754.79 + 25.4138i 0.308948 + 0.00285015i
\(431\) 12541.7i 1.40165i −0.713331 0.700827i \(-0.752814\pi\)
0.713331 0.700827i \(-0.247186\pi\)
\(432\) 2894.70 6318.42i 0.322387 0.703692i
\(433\) 5467.10i 0.606772i 0.952868 + 0.303386i \(0.0981171\pi\)
−0.952868 + 0.303386i \(0.901883\pi\)
\(434\) 92.5359 10030.6i 0.0102347 1.10942i
\(435\) 5258.81 + 12695.9i 0.579634 + 1.39936i
\(436\) −15390.7 + 6044.83i −1.69055 + 0.663979i
\(437\) −6058.08 2509.34i −0.663152 0.274687i
\(438\) 7398.32 2984.83i 0.807090 0.325618i
\(439\) −6912.86 + 6912.86i −0.751556 + 0.751556i −0.974770 0.223214i \(-0.928345\pi\)
0.223214 + 0.974770i \(0.428345\pi\)
\(440\) 207.502 7495.84i 0.0224824 0.812160i
\(441\) −450.126 450.126i −0.0486045 0.0486045i
\(442\) 14270.0 + 6065.64i 1.53564 + 0.652744i
\(443\) 5145.53 12422.4i 0.551854 1.33229i −0.364230 0.931309i \(-0.618668\pi\)
0.916084 0.400985i \(-0.131332\pi\)
\(444\) −1176.31 21.7055i −0.125732 0.00232004i
\(445\) −12577.2 + 5209.66i −1.33981 + 0.554969i
\(446\) −13119.3 13363.6i −1.39286 1.41880i
\(447\) −9073.44 −0.960088
\(448\) −6283.00 + 5623.31i −0.662598 + 0.593027i
\(449\) 4228.21 0.444413 0.222207 0.975000i \(-0.428674\pi\)
0.222207 + 0.975000i \(0.428674\pi\)
\(450\) −57.8880 58.9661i −0.00606415 0.00617708i
\(451\) 10098.5 4182.95i 1.05437 0.436735i
\(452\) 5735.86 + 105.839i 0.596885 + 0.0110139i
\(453\) −1689.72 + 4079.34i −0.175253 + 0.423099i
\(454\) 2942.34 + 1250.68i 0.304165 + 0.129289i
\(455\) −5358.26 5358.26i −0.552086 0.552086i
\(456\) −4884.33 135.209i −0.501600 0.0138854i
\(457\) −1932.67 + 1932.67i −0.197826 + 0.197826i −0.799067 0.601242i \(-0.794673\pi\)
0.601242 + 0.799067i \(0.294673\pi\)
\(458\) 6761.43 2727.88i 0.689828 0.278309i
\(459\) −13186.6 5462.08i −1.34096 0.555443i
\(460\) 14939.3 5867.54i 1.51423 0.594730i
\(461\) 5203.91 + 12563.3i 0.525749 + 1.26927i 0.934285 + 0.356527i \(0.116039\pi\)
−0.408536 + 0.912742i \(0.633961\pi\)
\(462\) −77.3063 + 8379.80i −0.00778488 + 0.843861i
\(463\) 6800.09i 0.682564i 0.939961 + 0.341282i \(0.110861\pi\)
−0.939961 + 0.341282i \(0.889139\pi\)
\(464\) 12477.6 4636.84i 1.24840 0.463922i
\(465\) 14228.3i 1.41897i
\(466\) −3913.44 36.1028i −0.389027 0.00358890i
\(467\) 3594.92 + 8678.90i 0.356216 + 0.859982i 0.995825 + 0.0912813i \(0.0290963\pi\)
−0.639609 + 0.768700i \(0.720904\pi\)
\(468\) −1182.58 + 2712.36i −0.116805 + 0.267903i
\(469\) 6886.74 + 2852.58i 0.678038 + 0.280853i
\(470\) 1324.26 + 3282.38i 0.129965 + 0.322138i
\(471\) 6883.27 6883.27i 0.673385 0.673385i
\(472\) −4445.93 11634.0i −0.433561 1.13453i
\(473\) −1875.38 1875.38i −0.182304 0.182304i
\(474\) −257.521 + 605.841i −0.0249543 + 0.0587072i
\(475\) 45.4574 109.744i 0.00439101 0.0106008i
\(476\) 12016.8 + 12468.6i 1.15712 + 1.20062i
\(477\) −105.524 + 43.7095i −0.0101292 + 0.00419564i
\(478\) −1425.59 + 1399.53i −0.136412 + 0.133918i
\(479\) −6129.80 −0.584714 −0.292357 0.956309i \(-0.594439\pi\)
−0.292357 + 0.956309i \(0.594439\pi\)
\(480\) 8837.99 8058.10i 0.840410 0.766250i
\(481\) −1024.18 −0.0970869
\(482\) −3432.93 + 3370.17i −0.324410 + 0.318479i
\(483\) −16571.5 + 6864.15i −1.56114 + 0.646645i
\(484\) 2468.92 2379.45i 0.231867 0.223465i
\(485\) −215.879 + 521.177i −0.0202114 + 0.0487947i
\(486\) 2652.11 6239.34i 0.247536 0.582350i
\(487\) −5985.06 5985.06i −0.556897 0.556897i 0.371526 0.928423i \(-0.378835\pi\)
−0.928423 + 0.371526i \(0.878835\pi\)
\(488\) −2516.77 + 5630.09i −0.233461 + 0.522258i
\(489\) −7686.69 + 7686.69i −0.710847 + 0.710847i
\(490\) 838.046 + 2077.22i 0.0772634 + 0.191508i
\(491\) −4495.22 1861.98i −0.413170 0.171141i 0.166409 0.986057i \(-0.446783\pi\)
−0.579579 + 0.814916i \(0.696783\pi\)
\(492\) 15980.8 + 6967.60i 1.46437 + 0.638463i
\(493\) −10461.6 25256.5i −0.955711 2.30729i
\(494\) −4253.40 39.2390i −0.387388 0.00357378i
\(495\) 2938.82i 0.266849i
\(496\) 13773.0 + 508.458i 1.24683 + 0.0460291i
\(497\) 654.274i 0.0590507i
\(498\) 93.8827 10176.6i 0.00844776 0.915714i
\(499\) 6391.46 + 15430.3i 0.573389 + 1.38428i 0.898653 + 0.438659i \(0.144547\pi\)
−0.325265 + 0.945623i \(0.605453\pi\)
\(500\) 4139.31 + 10539.0i 0.370231 + 0.942641i
\(501\) −5201.50 2154.53i −0.463844 0.192131i
\(502\) 2990.79 1206.63i 0.265908 0.107280i
\(503\) 13536.2 13536.2i 1.19990 1.19990i 0.225706 0.974196i \(-0.427531\pi\)
0.974196 0.225706i \(-0.0724688\pi\)
\(504\) −2400.44 + 2271.12i −0.212151 + 0.200722i
\(505\) 3136.88 + 3136.88i 0.276415 + 0.276415i
\(506\) −14220.4 6044.57i −1.24936 0.531055i
\(507\) 1048.28 2530.76i 0.0918257 0.221687i
\(508\) 105.296 5706.42i 0.00919638 0.498389i
\(509\) −6936.01 + 2872.99i −0.603995 + 0.250183i −0.663659 0.748036i \(-0.730997\pi\)
0.0596637 + 0.998219i \(0.480997\pi\)
\(510\) −17207.3 17527.7i −1.49402 1.52184i
\(511\) 7756.03 0.671442
\(512\) −7484.42 8843.15i −0.646031 0.763312i
\(513\) 3915.48 0.336983
\(514\) −13882.5 14141.0i −1.19130 1.21349i
\(515\) 8665.56 3589.39i 0.741456 0.307121i
\(516\) 78.0413 4229.37i 0.00665809 0.360829i
\(517\) 1303.98 3148.09i 0.110926 0.267800i
\(518\) −1052.66 447.448i −0.0892882 0.0379531i
\(519\) 2110.18 + 2110.18i 0.178471 + 0.178471i
\(520\) 7563.00 7155.56i 0.637807 0.603446i
\(521\) −513.751 + 513.751i −0.0432012 + 0.0432012i −0.728377 0.685176i \(-0.759725\pi\)
0.685176 + 0.728377i \(0.259725\pi\)
\(522\) 4837.92 1951.84i 0.405652 0.163659i
\(523\) 10786.8 + 4468.04i 0.901861 + 0.373563i 0.784936 0.619577i \(-0.212696\pi\)
0.116926 + 0.993141i \(0.462696\pi\)
\(524\) 2908.47 + 7405.21i 0.242475 + 0.617363i
\(525\) −124.346 300.198i −0.0103370 0.0249556i
\(526\) −13.3410 + 1446.13i −0.00110589 + 0.119875i
\(527\) 28304.9i 2.33963i
\(528\) −11506.2 424.776i −0.948381 0.0350114i
\(529\) 20905.9i 1.71825i
\(530\) 401.881 + 3.70748i 0.0329370 + 0.000303854i
\(531\) −1867.90 4509.52i −0.152656 0.368543i
\(532\) −4354.52 1898.56i −0.354873 0.154724i
\(533\) 14021.3 + 5807.81i 1.13946 + 0.471978i
\(534\) 7820.80 + 19385.0i 0.633781 + 1.57092i
\(535\) −6968.63 + 6968.63i −0.563141 + 0.563141i
\(536\) −4179.69 + 9350.09i −0.336820 + 0.753475i
\(537\) 13617.1 + 13617.1i 1.09426 + 1.09426i
\(538\) 131.652 309.724i 0.0105501 0.0248200i
\(539\) 825.210 1992.23i 0.0659449 0.159205i
\(540\) −6900.78 + 6650.72i −0.549930 + 0.530003i
\(541\) 1012.42 419.356i 0.0804568 0.0333263i −0.342092 0.939666i \(-0.611135\pi\)
0.422549 + 0.906340i \(0.361135\pi\)
\(542\) −6951.13 + 6824.04i −0.550879 + 0.540808i
\(543\) −11156.0 −0.881678
\(544\) −17581.8 + 16030.3i −1.38568 + 1.26341i
\(545\) 22802.1 1.79217
\(546\) −8303.03 + 8151.23i −0.650800 + 0.638902i
\(547\) −16637.9 + 6891.62i −1.30052 + 0.538692i −0.922103 0.386944i \(-0.873531\pi\)
−0.378415 + 0.925636i \(0.623531\pi\)
\(548\) 12479.6 + 12948.9i 0.972818 + 1.00939i
\(549\) −924.912 + 2232.94i −0.0719022 + 0.173587i
\(550\) 109.499 257.607i 0.00848920 0.0199716i
\(551\) 5302.84 + 5302.84i 0.409997 + 0.409997i
\(552\) −8797.48 23021.0i −0.678343 1.77507i
\(553\) −452.553 + 452.553i −0.0348002 + 0.0348002i
\(554\) 2406.72 + 5965.41i 0.184570 + 0.457484i
\(555\) 1498.91 + 620.869i 0.114640 + 0.0474854i
\(556\) −2868.61 + 6579.40i −0.218806 + 0.501850i
\(557\) −5219.38 12600.7i −0.397041 0.958543i −0.988364 0.152108i \(-0.951394\pi\)
0.591323 0.806435i \(-0.298606\pi\)
\(558\) 5401.22 + 49.8280i 0.409771 + 0.00378027i
\(559\) 3682.42i 0.278622i
\(560\) 10899.4 4050.37i 0.822472 0.305642i
\(561\) 23646.5i 1.77960i
\(562\) 83.1187 9009.84i 0.00623870 0.676258i
\(563\) 7201.62 + 17386.3i 0.539098 + 1.30150i 0.925353 + 0.379106i \(0.123768\pi\)
−0.386255 + 0.922392i \(0.626232\pi\)
\(564\) 5058.55 1986.79i 0.377665 0.148332i
\(565\) −7308.92 3027.45i −0.544227 0.225426i
\(566\) −18226.7 + 7353.48i −1.35358 + 0.546095i
\(567\) 10361.7 10361.7i 0.767463 0.767463i
\(568\) −898.609 24.8755i −0.0663817 0.00183759i
\(569\) −2337.98 2337.98i −0.172255 0.172255i 0.615714 0.787969i \(-0.288868\pi\)
−0.787969 + 0.615714i \(0.788868\pi\)
\(570\) 6201.13 + 2635.87i 0.455679 + 0.193692i
\(571\) −6423.07 + 15506.7i −0.470748 + 1.13649i 0.493086 + 0.869981i \(0.335869\pi\)
−0.963834 + 0.266505i \(0.914131\pi\)
\(572\) −10021.6 184.922i −0.732563 0.0135174i
\(573\) −2517.49 + 1042.78i −0.183542 + 0.0760256i
\(574\) 11873.8 + 12094.9i 0.863421 + 0.879500i
\(575\) 599.126 0.0434526
\(576\) −3027.99 3383.22i −0.219039 0.244735i
\(577\) −15420.1 −1.11256 −0.556279 0.830995i \(-0.687772\pi\)
−0.556279 + 0.830995i \(0.687772\pi\)
\(578\) 24496.2 + 24952.4i 1.76282 + 1.79564i
\(579\) 17703.8 7333.13i 1.27071 0.526347i
\(580\) −18353.2 338.657i −1.31392 0.0242447i
\(581\) 3786.36 9141.08i 0.270369 0.652730i
\(582\) 797.163 + 338.844i 0.0567757 + 0.0241333i
\(583\) −273.588 273.588i −0.0194354 0.0194354i
\(584\) −294.885 + 10652.5i −0.0208945 + 0.754799i
\(585\) 2885.28 2885.28i 0.203917 0.203917i
\(586\) 12007.1 4844.23i 0.846432 0.341490i
\(587\) −4807.28 1991.24i −0.338020 0.140013i 0.207216 0.978295i \(-0.433560\pi\)
−0.545236 + 0.838283i \(0.683560\pi\)
\(588\) 3201.25 1257.32i 0.224519 0.0881820i
\(589\) 2971.45 + 7173.71i 0.207872 + 0.501846i
\(590\) −158.437 + 17174.2i −0.0110555 + 1.19839i
\(591\) 16024.2i 1.11531i
\(592\) 654.567 1428.76i 0.0454434 0.0991920i
\(593\) 7386.71i 0.511528i −0.966739 0.255764i \(-0.917673\pi\)
0.966739 0.255764i \(-0.0823269\pi\)
\(594\) 9226.23 + 85.1149i 0.637301 + 0.00587930i
\(595\) −9138.40 22062.0i −0.629643 1.52009i
\(596\) 4843.99 11110.1i 0.332915 0.763570i
\(597\) −18251.3 7559.95i −1.25122 0.518271i
\(598\) −8026.89 19895.8i −0.548903 1.36053i
\(599\) −14260.6 + 14260.6i −0.972744 + 0.972744i −0.999638 0.0268941i \(-0.991438\pi\)
0.0268941 + 0.999638i \(0.491438\pi\)
\(600\) 417.032 159.369i 0.0283755 0.0108437i
\(601\) −849.123 849.123i −0.0576314 0.0576314i 0.677704 0.735335i \(-0.262975\pi\)
−0.735335 + 0.677704i \(0.762975\pi\)
\(602\) 1608.78 3784.81i 0.108919 0.256241i
\(603\) −1536.04 + 3708.32i −0.103735 + 0.250438i
\(604\) −4092.92 4246.81i −0.275726 0.286093i
\(605\) −4368.53 + 1809.50i −0.293564 + 0.121598i
\(606\) 4860.83 4771.96i 0.325838 0.319881i
\(607\) 24362.0 1.62904 0.814518 0.580139i \(-0.197002\pi\)
0.814518 + 0.580139i \(0.197002\pi\)
\(608\) 2773.13 5908.51i 0.184976 0.394115i
\(609\) 20514.0 1.36497
\(610\) 6068.69 5957.74i 0.402810 0.395446i
\(611\) 4370.96 1810.51i 0.289411 0.119878i
\(612\) −6713.98 + 6470.70i −0.443459 + 0.427389i
\(613\) −2098.82 + 5066.99i −0.138288 + 0.333856i −0.977818 0.209457i \(-0.932830\pi\)
0.839530 + 0.543313i \(0.182830\pi\)
\(614\) −498.093 + 1171.81i −0.0327384 + 0.0770202i
\(615\) −16999.6 16999.6i −1.11462 1.11462i
\(616\) −10219.5 4568.34i −0.668434 0.298804i
\(617\) 18585.0 18585.0i 1.21265 1.21265i 0.242493 0.970153i \(-0.422035\pi\)
0.970153 0.242493i \(-0.0779652\pi\)
\(618\) −5388.44 13356.0i −0.350736 0.869349i
\(619\) 5415.72 + 2243.27i 0.351658 + 0.145662i 0.551518 0.834163i \(-0.314049\pi\)
−0.199860 + 0.979824i \(0.564049\pi\)
\(620\) −17422.1 7595.98i −1.12853 0.492035i
\(621\) 7557.48 + 18245.4i 0.488360 + 1.17900i
\(622\) −6345.99 58.5438i −0.409086 0.00377395i
\(623\) 20322.2i 1.30689i
\(624\) −10879.6 11713.7i −0.697968 0.751477i
\(625\) 15202.3i 0.972950i
\(626\) 45.0789 4886.44i 0.00287814 0.311983i
\(627\) −2482.41 5993.06i −0.158114 0.381722i
\(628\) 4753.59 + 12103.1i 0.302052 + 0.769052i
\(629\) −2981.84 1235.12i −0.189020 0.0782949i
\(630\) 4226.02 1704.98i 0.267252 0.107822i
\(631\) 9326.18 9326.18i 0.588382 0.588382i −0.348811 0.937193i \(-0.613414\pi\)
0.937193 + 0.348811i \(0.113414\pi\)
\(632\) −604.350 638.762i −0.0380376 0.0402035i
\(633\) −22907.5 22907.5i −1.43837 1.43837i
\(634\) −4722.60 2007.40i −0.295833 0.125748i
\(635\) −3011.92 + 7271.41i −0.188227 + 0.454421i
\(636\) 11.3850 616.999i 0.000709819 0.0384679i
\(637\) 2766.11 1145.76i 0.172052 0.0712664i
\(638\) 12380.1 + 12610.6i 0.768231 + 0.782537i
\(639\) −352.309 −0.0218108
\(640\) 5148.57 + 15123.7i 0.317992 + 0.934091i
\(641\) −24698.6 −1.52189 −0.760947 0.648814i \(-0.775265\pi\)
−0.760947 + 0.648814i \(0.775265\pi\)
\(642\) 10601.0 + 10798.4i 0.651695 + 0.663831i
\(643\) −15953.0 + 6607.95i −0.978422 + 0.405276i −0.813841 0.581088i \(-0.802627\pi\)
−0.164581 + 0.986364i \(0.552627\pi\)
\(644\) 442.037 23955.8i 0.0270477 1.46582i
\(645\) −2232.31 + 5389.28i −0.136275 + 0.328996i
\(646\) −12336.2 5243.65i −0.751331 0.319363i
\(647\) 15582.9 + 15582.9i 0.946874 + 0.946874i 0.998658 0.0517843i \(-0.0164908\pi\)
−0.0517843 + 0.998658i \(0.516491\pi\)
\(648\) 13837.3 + 14625.2i 0.838858 + 0.886624i
\(649\) 11691.6 11691.6i 0.707145 0.707145i
\(650\) 360.418 145.409i 0.0217488 0.00877449i
\(651\) 19623.2 + 8128.21i 1.18141 + 0.489354i
\(652\) −5308.43 13515.7i −0.318856 0.811836i
\(653\) 6341.65 + 15310.1i 0.380043 + 0.917504i 0.991956 + 0.126580i \(0.0403999\pi\)
−0.611914 + 0.790924i \(0.709600\pi\)
\(654\) 322.984 35010.6i 0.0193114 2.09330i
\(655\) 10971.2i 0.654474i
\(656\) −17063.2 + 15848.2i −1.01556 + 0.943243i
\(657\) 4176.41i 0.248002i
\(658\) 5283.46 + 48.7417i 0.313026 + 0.00288776i
\(659\) −7357.67 17763.0i −0.434923 1.05000i −0.977679 0.210106i \(-0.932619\pi\)
0.542756 0.839891i \(-0.317381\pi\)
\(660\) 14554.7 + 6345.83i 0.858397 + 0.374259i
\(661\) −8796.41 3643.59i −0.517611 0.214401i 0.108556 0.994090i \(-0.465377\pi\)
−0.626167 + 0.779689i \(0.715377\pi\)
\(662\) −1933.06 4791.36i −0.113490 0.281301i
\(663\) −23215.7 + 23215.7i −1.35991 + 1.35991i
\(664\) 12410.8 + 5547.90i 0.725350 + 0.324247i
\(665\) 4632.14 + 4632.14i 0.270115 + 0.270115i
\(666\) 240.938 566.829i 0.0140183 0.0329793i
\(667\) −14474.9 + 34945.5i −0.840286 + 2.02863i
\(668\) 5415.05 5218.83i 0.313644 0.302279i
\(669\) 36634.6 15174.5i 2.11715 0.876953i
\(670\) 10078.5 9894.23i 0.581143 0.570519i
\(671\) −8187.22 −0.471034
\(672\) −6064.60 16792.4i −0.348135 0.963962i
\(673\) −18778.9 −1.07559 −0.537795 0.843076i \(-0.680743\pi\)
−0.537795 + 0.843076i \(0.680743\pi\)
\(674\) 14214.6 13954.7i 0.812353 0.797502i
\(675\) −330.520 + 136.906i −0.0188470 + 0.00780668i
\(676\) 2539.19 + 2634.66i 0.144469 + 0.149901i
\(677\) 2171.42 5242.27i 0.123271 0.297603i −0.850182 0.526489i \(-0.823508\pi\)
0.973453 + 0.228886i \(0.0735083\pi\)
\(678\) −4751.91 + 11179.3i −0.269168 + 0.633242i
\(679\) 595.467 + 595.467i 0.0336552 + 0.0336552i
\(680\) 30648.4 11712.3i 1.72840 0.660508i
\(681\) −4786.88 + 4786.88i −0.269359 + 0.269359i
\(682\) 6845.82 + 16968.3i 0.384370 + 0.952715i
\(683\) −25821.4 10695.6i −1.44660 0.599202i −0.485212 0.874396i \(-0.661258\pi\)
−0.961389 + 0.275195i \(0.911258\pi\)
\(684\) 1022.32 2344.79i 0.0571484 0.131075i
\(685\) −9490.40 22911.9i −0.529357 1.27798i
\(686\) 19320.0 + 178.233i 1.07528 + 0.00991977i
\(687\) 15438.1i 0.857351i
\(688\) 5137.06 + 2353.47i 0.284663 + 0.130415i
\(689\) 537.207i 0.0297039i
\(690\) −313.511 + 33983.7i −0.0172973 + 1.87498i
\(691\) −4070.96 9828.16i −0.224120 0.541072i 0.771322 0.636445i \(-0.219596\pi\)
−0.995442 + 0.0953726i \(0.969596\pi\)
\(692\) −3710.39 + 1457.29i −0.203827 + 0.0800548i
\(693\) −4053.13 1678.86i −0.222173 0.0920269i
\(694\) 12081.7 4874.33i 0.660830 0.266610i
\(695\) 6998.86 6998.86i 0.381988 0.381988i
\(696\) −779.943 + 28174.8i −0.0424765 + 1.53443i
\(697\) 33818.1 + 33818.1i 1.83781 + 1.83781i
\(698\) −30363.2 12906.3i −1.64651 0.699870i
\(699\) 3171.21 7655.98i 0.171597 0.414272i
\(700\) 433.965 + 8.00762i 0.0234319 + 0.000432371i
\(701\) 1993.12 825.577i 0.107388 0.0444816i −0.328343 0.944559i \(-0.606490\pi\)
0.435731 + 0.900077i \(0.356490\pi\)
\(702\) 8974.57 + 9141.70i 0.482512 + 0.491498i
\(703\) 885.392 0.0475010
\(704\) 6662.90 13862.2i 0.356701 0.742120i
\(705\) −7494.50 −0.400368
\(706\) −18912.9 19265.1i −1.00821 1.02699i
\(707\) 6118.30 2534.28i 0.325463 0.134811i
\(708\) 26367.1 + 486.532i 1.39963 + 0.0258263i
\(709\) −8011.74 + 19342.1i −0.424383 + 1.02455i 0.556657 + 0.830742i \(0.312084\pi\)
−0.981040 + 0.193808i \(0.937916\pi\)
\(710\) 1140.87 + 484.942i 0.0603044 + 0.0256332i
\(711\) −243.687 243.687i −0.0128537 0.0128537i
\(712\) −27911.5 772.652i −1.46914 0.0406691i
\(713\) −27692.8 + 27692.8i −1.45456 + 1.45456i
\(714\) −34003.7 + 13718.7i −1.78229 + 0.719060i
\(715\) 12770.1 + 5289.54i 0.667935 + 0.276668i
\(716\) −23943.3 + 9403.95i −1.24972 + 0.490841i
\(717\) −1618.78 3908.07i −0.0843157 0.203556i
\(718\) −207.504 + 22492.8i −0.0107855 + 1.16912i
\(719\) 29047.6i 1.50667i 0.657639 + 0.753334i \(0.271555\pi\)
−0.657639 + 0.753334i \(0.728445\pi\)
\(720\) 2181.01 + 5869.03i 0.112891 + 0.303786i
\(721\) 14001.8i 0.723237i
\(722\) −15722.4 145.044i −0.810423 0.00747641i
\(723\) −3898.15 9410.96i −0.200517 0.484090i
\(724\) 5955.81 13660.2i 0.305726 0.701210i
\(725\) −633.048 262.217i −0.0324287 0.0134324i
\(726\) 2716.45 + 6733.11i 0.138866 + 0.344200i
\(727\) −12248.6 + 12248.6i −0.624862 + 0.624862i −0.946771 0.321909i \(-0.895676\pi\)
0.321909 + 0.946771i \(0.395676\pi\)
\(728\) −5548.21 14518.4i −0.282459 0.739133i
\(729\) −6837.10 6837.10i −0.347361 0.347361i
\(730\) 5748.70 13524.4i 0.291464 0.685697i
\(731\) 4440.83 10721.1i 0.224692 0.542455i
\(732\) −9061.61 9402.31i −0.457550 0.474753i
\(733\) 17288.6 7161.19i 0.871174 0.360852i 0.0981066 0.995176i \(-0.468721\pi\)
0.773067 + 0.634324i \(0.218721\pi\)
\(734\) 10378.2 10188.4i 0.521887 0.512346i
\(735\) −4742.82 −0.238016
\(736\) 32885.1 + 1517.91i 1.64696 + 0.0760203i
\(737\) −13596.8 −0.679573
\(738\) −6512.79 + 6393.72i −0.324850 + 0.318911i
\(739\) 31548.5 13067.8i 1.57041 0.650483i 0.583548 0.812079i \(-0.301664\pi\)
0.986857 + 0.161595i \(0.0516640\pi\)
\(740\) −1560.45 + 1503.90i −0.0775178 + 0.0747089i
\(741\) 3446.69 8321.05i 0.170874 0.412526i
\(742\) 234.696 552.144i 0.0116118 0.0273178i
\(743\) −19385.2 19385.2i −0.957163 0.957163i 0.0419563 0.999119i \(-0.486641\pi\)
−0.999119 + 0.0419563i \(0.986641\pi\)
\(744\) −11909.7 + 26642.4i −0.586870 + 1.31285i
\(745\) −11818.4 + 11818.4i −0.581199 + 0.581199i
\(746\) −6606.35 16374.8i −0.324230 0.803650i
\(747\) 4922.22 + 2038.85i 0.241090 + 0.0998629i
\(748\) −28954.3 12624.0i −1.41534 0.617086i
\(749\) 5629.95 + 13591.9i 0.274651 + 0.663067i
\(750\) −23974.1 221.169i −1.16721 0.0107679i
\(751\) 32864.8i 1.59688i −0.602078 0.798438i \(-0.705660\pi\)
0.602078 0.798438i \(-0.294340\pi\)
\(752\) −267.821 + 7254.69i −0.0129873 + 0.351797i
\(753\) 6828.75i 0.330483i
\(754\) −226.347 + 24535.4i −0.0109324 + 1.18505i
\(755\) 3112.55 + 7514.36i 0.150036 + 0.362219i
\(756\) 5230.26 + 13316.7i 0.251617 + 0.640640i
\(757\) 29982.4 + 12419.1i 1.43954 + 0.596275i 0.959686 0.281076i \(-0.0906912\pi\)
0.479850 + 0.877351i \(0.340691\pi\)
\(758\) 6593.62 2660.18i 0.315951 0.127470i
\(759\) 23135.1 23135.1i 1.10639 1.10639i
\(760\) −6538.10 + 6185.87i −0.312055 + 0.295243i
\(761\) 11824.8 + 11824.8i 0.563270 + 0.563270i 0.930235 0.366965i \(-0.119603\pi\)
−0.366965 + 0.930235i \(0.619603\pi\)
\(762\) 11121.9 + 4727.52i 0.528747 + 0.224751i
\(763\) 13026.2 31448.0i 0.618059 1.49213i
\(764\) 67.1528 3639.28i 0.00317998 0.172336i
\(765\) 11879.8 4920.77i 0.561457 0.232563i
\(766\) 5220.52 + 5317.74i 0.246247 + 0.250832i
\(767\) 22957.3 1.08076
\(768\) 23294.1 7690.94i 1.09447 0.361358i
\(769\) −6754.02 −0.316718 −0.158359 0.987382i \(-0.550620\pi\)
−0.158359 + 0.987382i \(0.550620\pi\)
\(770\) 10814.2 + 11015.6i 0.506127 + 0.515553i
\(771\) 38765.8 16057.3i 1.81079 0.750052i
\(772\) −472.239 + 25592.5i