Properties

Label 63.4.s.a.47.9
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.9
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.54833 + 0.893930i) q^{2} +(5.18374 + 0.358957i) q^{3} +(-2.40178 + 4.16000i) q^{4} -16.9434 q^{5} +(-8.34703 + 4.07812i) q^{6} +(-9.83512 + 15.6930i) q^{7} -22.8910i q^{8} +(26.7423 + 3.72148i) q^{9} +O(q^{10})\) \(q+(-1.54833 + 0.893930i) q^{2} +(5.18374 + 0.358957i) q^{3} +(-2.40178 + 4.16000i) q^{4} -16.9434 q^{5} +(-8.34703 + 4.07812i) q^{6} +(-9.83512 + 15.6930i) q^{7} -22.8910i q^{8} +(26.7423 + 3.72148i) q^{9} +(26.2340 - 15.1462i) q^{10} +7.14600i q^{11} +(-13.9435 + 20.7022i) q^{12} +(-67.0144 + 38.6908i) q^{13} +(1.19958 - 33.0899i) q^{14} +(-87.8300 - 6.08194i) q^{15} +(1.24870 + 2.16282i) q^{16} +(1.06481 + 1.84430i) q^{17} +(-44.7327 + 18.1437i) q^{18} +(104.730 + 60.4661i) q^{19} +(40.6942 - 70.4844i) q^{20} +(-56.6158 + 77.8181i) q^{21} +(-6.38802 - 11.0644i) q^{22} +10.8686i q^{23} +(8.21688 - 118.661i) q^{24} +162.077 q^{25} +(69.1737 - 119.812i) q^{26} +(137.289 + 28.8905i) q^{27} +(-41.6612 - 78.6052i) q^{28} +(-110.704 - 63.9149i) q^{29} +(141.427 - 69.0970i) q^{30} +(184.393 + 106.459i) q^{31} +(154.726 + 89.3314i) q^{32} +(-2.56511 + 37.0430i) q^{33} +(-3.29735 - 1.90372i) q^{34} +(166.640 - 265.892i) q^{35} +(-79.7104 + 102.310i) q^{36} +(-12.2062 + 21.1417i) q^{37} -216.210 q^{38} +(-361.273 + 176.507i) q^{39} +387.850i q^{40} +(-64.8686 - 112.356i) q^{41} +(18.0962 - 171.099i) q^{42} +(86.4878 - 149.801i) q^{43} +(-29.7274 - 17.1631i) q^{44} +(-453.104 - 63.0544i) q^{45} +(-9.71576 - 16.8282i) q^{46} +(202.426 + 350.613i) q^{47} +(5.69660 + 11.6597i) q^{48} +(-149.541 - 308.685i) q^{49} +(-250.950 + 144.886i) q^{50} +(4.85765 + 9.94258i) q^{51} -371.706i q^{52} +(-291.479 + 168.286i) q^{53} +(-238.396 + 77.9949i) q^{54} -121.077i q^{55} +(359.228 + 225.135i) q^{56} +(521.190 + 351.034i) q^{57} +228.542 q^{58} +(-330.799 + 572.960i) q^{59} +(236.249 - 350.765i) q^{60} +(-300.606 + 173.555i) q^{61} -380.669 q^{62} +(-321.415 + 383.066i) q^{63} -339.403 q^{64} +(1135.45 - 655.551i) q^{65} +(-29.1422 - 59.6479i) q^{66} +(134.558 - 233.062i) q^{67} -10.2297 q^{68} +(-3.90136 + 56.3399i) q^{69} +(-20.3249 + 560.654i) q^{70} -637.224i q^{71} +(85.1883 - 612.157i) q^{72} +(-503.982 + 290.974i) q^{73} -43.6458i q^{74} +(840.167 + 58.1789i) q^{75} +(-503.078 + 290.452i) q^{76} +(-112.142 - 70.2817i) q^{77} +(401.586 - 596.245i) q^{78} +(85.9381 + 148.849i) q^{79} +(-21.1572 - 36.6454i) q^{80} +(701.301 + 199.042i) q^{81} +(200.876 + 115.976i) q^{82} +(-635.597 + 1100.89i) q^{83} +(-187.745 - 422.423i) q^{84} +(-18.0414 - 31.2486i) q^{85} +309.256i q^{86} +(-550.917 - 371.056i) q^{87} +163.579 q^{88} +(-175.384 + 303.774i) q^{89} +(757.923 - 307.415i) q^{90} +(51.9198 - 1432.18i) q^{91} +(-45.2133 - 26.1039i) q^{92} +(917.632 + 618.047i) q^{93} +(-626.847 - 361.910i) q^{94} +(-1774.49 - 1024.50i) q^{95} +(769.995 + 518.611i) q^{96} +(-73.3753 - 42.3633i) q^{97} +(507.482 + 344.268i) q^{98} +(-26.5937 + 191.100i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.54833 + 0.893930i −0.547418 + 0.316052i −0.748080 0.663609i \(-0.769024\pi\)
0.200662 + 0.979661i \(0.435691\pi\)
\(3\) 5.18374 + 0.358957i 0.997611 + 0.0690814i
\(4\) −2.40178 + 4.16000i −0.300222 + 0.520000i
\(5\) −16.9434 −1.51546 −0.757730 0.652568i \(-0.773692\pi\)
−0.757730 + 0.652568i \(0.773692\pi\)
\(6\) −8.34703 + 4.07812i −0.567944 + 0.277481i
\(7\) −9.83512 + 15.6930i −0.531046 + 0.847343i
\(8\) 22.8910i 1.01165i
\(9\) 26.7423 + 3.72148i 0.990456 + 0.137833i
\(10\) 26.2340 15.1462i 0.829591 0.478964i
\(11\) 7.14600i 0.195873i 0.995193 + 0.0979364i \(0.0312242\pi\)
−0.995193 + 0.0979364i \(0.968776\pi\)
\(12\) −13.9435 + 20.7022i −0.335427 + 0.498018i
\(13\) −67.0144 + 38.6908i −1.42973 + 0.825453i −0.997099 0.0761201i \(-0.975747\pi\)
−0.432627 + 0.901573i \(0.642413\pi\)
\(14\) 1.19958 33.0899i 0.0229001 0.631689i
\(15\) −87.8300 6.08194i −1.51184 0.104690i
\(16\) 1.24870 + 2.16282i 0.0195110 + 0.0337941i
\(17\) 1.06481 + 1.84430i 0.0151914 + 0.0263122i 0.873521 0.486786i \(-0.161831\pi\)
−0.858330 + 0.513098i \(0.828498\pi\)
\(18\) −44.7327 + 18.1437i −0.585756 + 0.237583i
\(19\) 104.730 + 60.4661i 1.26457 + 0.730099i 0.973955 0.226741i \(-0.0728072\pi\)
0.290614 + 0.956840i \(0.406141\pi\)
\(20\) 40.6942 70.4844i 0.454975 0.788040i
\(21\) −56.6158 + 77.8181i −0.588313 + 0.808633i
\(22\) −6.38802 11.0644i −0.0619060 0.107224i
\(23\) 10.8686i 0.0985329i 0.998786 + 0.0492664i \(0.0156883\pi\)
−0.998786 + 0.0492664i \(0.984312\pi\)
\(24\) 8.21688 118.661i 0.0698860 1.00923i
\(25\) 162.077 1.29662
\(26\) 69.1737 119.812i 0.521772 0.903736i
\(27\) 137.289 + 28.8905i 0.978568 + 0.205925i
\(28\) −41.6612 78.6052i −0.281186 0.530535i
\(29\) −110.704 63.9149i −0.708869 0.409266i 0.101773 0.994808i \(-0.467548\pi\)
−0.810642 + 0.585542i \(0.800882\pi\)
\(30\) 141.427 69.0970i 0.860696 0.420511i
\(31\) 184.393 + 106.459i 1.06832 + 0.616796i 0.927723 0.373270i \(-0.121764\pi\)
0.140600 + 0.990067i \(0.455097\pi\)
\(32\) 154.726 + 89.3314i 0.854751 + 0.493491i
\(33\) −2.56511 + 37.0430i −0.0135312 + 0.195405i
\(34\) −3.29735 1.90372i −0.0166321 0.00960253i
\(35\) 166.640 265.892i 0.804780 1.28411i
\(36\) −79.7104 + 102.310i −0.369030 + 0.473657i
\(37\) −12.2062 + 21.1417i −0.0542346 + 0.0939371i −0.891868 0.452296i \(-0.850605\pi\)
0.837634 + 0.546233i \(0.183939\pi\)
\(38\) −216.210 −0.922997
\(39\) −361.273 + 176.507i −1.48333 + 0.724713i
\(40\) 387.850i 1.53311i
\(41\) −64.8686 112.356i −0.247092 0.427976i 0.715626 0.698484i \(-0.246142\pi\)
−0.962718 + 0.270508i \(0.912808\pi\)
\(42\) 18.0962 171.099i 0.0664833 0.628598i
\(43\) 86.4878 149.801i 0.306727 0.531267i −0.670917 0.741532i \(-0.734099\pi\)
0.977644 + 0.210265i \(0.0674327\pi\)
\(44\) −29.7274 17.1631i −0.101854 0.0588053i
\(45\) −453.104 63.0544i −1.50100 0.208880i
\(46\) −9.71576 16.8282i −0.0311415 0.0539387i
\(47\) 202.426 + 350.613i 0.628232 + 1.08813i 0.987906 + 0.155052i \(0.0495546\pi\)
−0.359674 + 0.933078i \(0.617112\pi\)
\(48\) 5.69660 + 11.6597i 0.0171299 + 0.0350612i
\(49\) −149.541 308.685i −0.435979 0.899957i
\(50\) −250.950 + 144.886i −0.709793 + 0.409799i
\(51\) 4.85765 + 9.94258i 0.0133374 + 0.0272988i
\(52\) 371.706i 0.991277i
\(53\) −291.479 + 168.286i −0.755429 + 0.436147i −0.827652 0.561241i \(-0.810324\pi\)
0.0722231 + 0.997388i \(0.476991\pi\)
\(54\) −238.396 + 77.9949i −0.600769 + 0.196551i
\(55\) 121.077i 0.296837i
\(56\) 359.228 + 225.135i 0.857212 + 0.537232i
\(57\) 521.190 + 351.034i 1.21111 + 0.815713i
\(58\) 228.542 0.517397
\(59\) −330.799 + 572.960i −0.729938 + 1.26429i 0.226971 + 0.973901i \(0.427118\pi\)
−0.956909 + 0.290388i \(0.906216\pi\)
\(60\) 236.249 350.765i 0.508327 0.754727i
\(61\) −300.606 + 173.555i −0.630961 + 0.364286i −0.781124 0.624376i \(-0.785353\pi\)
0.150163 + 0.988661i \(0.452020\pi\)
\(62\) −380.669 −0.779759
\(63\) −321.415 + 383.066i −0.642769 + 0.766060i
\(64\) −339.403 −0.662897
\(65\) 1135.45 655.551i 2.16669 1.25094i
\(66\) −29.1422 59.6479i −0.0543509 0.111245i
\(67\) 134.558 233.062i 0.245357 0.424971i −0.716875 0.697202i \(-0.754428\pi\)
0.962232 + 0.272231i \(0.0877615\pi\)
\(68\) −10.2297 −0.0182432
\(69\) −3.90136 + 56.3399i −0.00680679 + 0.0982975i
\(70\) −20.3249 + 560.654i −0.0347042 + 0.957300i
\(71\) 637.224i 1.06514i −0.846387 0.532568i \(-0.821227\pi\)
0.846387 0.532568i \(-0.178773\pi\)
\(72\) 85.1883 612.157i 0.139438 1.00199i
\(73\) −503.982 + 290.974i −0.808036 + 0.466520i −0.846273 0.532749i \(-0.821159\pi\)
0.0382377 + 0.999269i \(0.487826\pi\)
\(74\) 43.6458i 0.0685638i
\(75\) 840.167 + 58.1789i 1.29352 + 0.0895723i
\(76\) −503.078 + 290.452i −0.759303 + 0.438384i
\(77\) −112.142 70.2817i −0.165971 0.104018i
\(78\) 401.586 596.245i 0.582957 0.865532i
\(79\) 85.9381 + 148.849i 0.122390 + 0.211985i 0.920710 0.390248i \(-0.127611\pi\)
−0.798320 + 0.602234i \(0.794278\pi\)
\(80\) −21.1572 36.6454i −0.0295682 0.0512135i
\(81\) 701.301 + 199.042i 0.962004 + 0.273034i
\(82\) 200.876 + 115.976i 0.270525 + 0.156188i
\(83\) −635.597 + 1100.89i −0.840552 + 1.45588i 0.0488762 + 0.998805i \(0.484436\pi\)
−0.889428 + 0.457074i \(0.848897\pi\)
\(84\) −187.745 422.423i −0.243865 0.548693i
\(85\) −18.0414 31.2486i −0.0230219 0.0398751i
\(86\) 309.256i 0.387767i
\(87\) −550.917 371.056i −0.678903 0.457257i
\(88\) 163.579 0.198154
\(89\) −175.384 + 303.774i −0.208884 + 0.361798i −0.951363 0.308071i \(-0.900316\pi\)
0.742479 + 0.669869i \(0.233650\pi\)
\(90\) 757.923 307.415i 0.887689 0.360048i
\(91\) 51.9198 1432.18i 0.0598096 1.64982i
\(92\) −45.2133 26.1039i −0.0512371 0.0295818i
\(93\) 917.632 + 618.047i 1.02316 + 0.689124i
\(94\) −626.847 361.910i −0.687812 0.397108i
\(95\) −1774.49 1024.50i −1.91640 1.10644i
\(96\) 769.995 + 518.611i 0.818618 + 0.551359i
\(97\) −73.3753 42.3633i −0.0768055 0.0443437i 0.461105 0.887345i \(-0.347453\pi\)
−0.537911 + 0.843002i \(0.680786\pi\)
\(98\) 507.482 + 344.268i 0.523096 + 0.354860i
\(99\) −26.5937 + 191.100i −0.0269977 + 0.194003i
\(100\) −389.274 + 674.243i −0.389274 + 0.674243i
\(101\) 1647.26 1.62285 0.811427 0.584453i \(-0.198691\pi\)
0.811427 + 0.584453i \(0.198691\pi\)
\(102\) −16.4092 11.0520i −0.0159290 0.0107286i
\(103\) 1841.23i 1.76137i −0.473698 0.880687i \(-0.657081\pi\)
0.473698 0.880687i \(-0.342919\pi\)
\(104\) 885.669 + 1534.02i 0.835067 + 1.44638i
\(105\) 959.262 1318.50i 0.891566 1.22545i
\(106\) 300.871 521.124i 0.275690 0.477510i
\(107\) −377.689 218.059i −0.341239 0.197014i 0.319581 0.947559i \(-0.396458\pi\)
−0.660820 + 0.750545i \(0.729791\pi\)
\(108\) −449.923 + 501.735i −0.400869 + 0.447032i
\(109\) 583.379 + 1010.44i 0.512638 + 0.887915i 0.999893 + 0.0146552i \(0.00466507\pi\)
−0.487255 + 0.873260i \(0.662002\pi\)
\(110\) 108.235 + 187.468i 0.0938160 + 0.162494i
\(111\) −70.8625 + 105.211i −0.0605943 + 0.0899661i
\(112\) −46.2223 1.67566i −0.0389964 0.00141370i
\(113\) 127.611 73.6761i 0.106236 0.0613351i −0.445941 0.895062i \(-0.647131\pi\)
0.552176 + 0.833727i \(0.313798\pi\)
\(114\) −1120.78 77.6101i −0.920792 0.0637619i
\(115\) 184.150i 0.149323i
\(116\) 531.772 307.019i 0.425636 0.245741i
\(117\) −1936.10 + 785.287i −1.52985 + 0.620511i
\(118\) 1182.84i 0.922793i
\(119\) −39.4151 1.42888i −0.0303628 0.00110072i
\(120\) −139.222 + 2010.51i −0.105909 + 1.52945i
\(121\) 1279.93 0.961634
\(122\) 310.292 537.441i 0.230266 0.398833i
\(123\) −295.931 605.708i −0.216937 0.444023i
\(124\) −885.743 + 511.384i −0.641468 + 0.370352i
\(125\) −628.217 −0.449516
\(126\) 155.223 880.436i 0.109749 0.622504i
\(127\) −29.4522 −0.0205784 −0.0102892 0.999947i \(-0.503275\pi\)
−0.0102892 + 0.999947i \(0.503275\pi\)
\(128\) −712.303 + 411.248i −0.491869 + 0.283981i
\(129\) 502.103 745.486i 0.342695 0.508809i
\(130\) −1172.03 + 2030.02i −0.790725 + 1.36958i
\(131\) −979.694 −0.653407 −0.326703 0.945127i \(-0.605938\pi\)
−0.326703 + 0.945127i \(0.605938\pi\)
\(132\) −147.938 99.6399i −0.0975482 0.0657011i
\(133\) −1978.93 + 1048.84i −1.29019 + 0.683807i
\(134\) 481.143i 0.310182i
\(135\) −2326.14 489.503i −1.48298 0.312072i
\(136\) 42.2178 24.3744i 0.0266187 0.0153683i
\(137\) 1243.14i 0.775244i 0.921818 + 0.387622i \(0.126703\pi\)
−0.921818 + 0.387622i \(0.873297\pi\)
\(138\) −44.3233 90.7204i −0.0273410 0.0559611i
\(139\) 976.590 563.835i 0.595923 0.344056i −0.171513 0.985182i \(-0.554866\pi\)
0.767436 + 0.641126i \(0.221532\pi\)
\(140\) 705.880 + 1331.84i 0.426127 + 0.804005i
\(141\) 923.470 + 1890.15i 0.551562 + 1.12893i
\(142\) 569.634 + 986.635i 0.336638 + 0.583074i
\(143\) −276.484 478.885i −0.161684 0.280044i
\(144\) 25.3443 + 62.4858i 0.0146669 + 0.0361608i
\(145\) 1875.70 + 1082.93i 1.07426 + 0.620226i
\(146\) 520.221 901.049i 0.294889 0.510763i
\(147\) −664.376 1653.82i −0.372768 0.927925i
\(148\) −58.6330 101.555i −0.0325649 0.0564040i
\(149\) 2166.55i 1.19121i −0.803276 0.595607i \(-0.796912\pi\)
0.803276 0.595607i \(-0.203088\pi\)
\(150\) −1352.87 + 660.971i −0.736407 + 0.359787i
\(151\) 2142.13 1.15447 0.577233 0.816580i \(-0.304133\pi\)
0.577233 + 0.816580i \(0.304133\pi\)
\(152\) 1384.13 2397.38i 0.738603 1.27930i
\(153\) 21.6118 + 53.2834i 0.0114197 + 0.0281550i
\(154\) 236.460 + 8.57220i 0.123731 + 0.00448550i
\(155\) −3124.24 1803.78i −1.61900 0.934730i
\(156\) 133.427 1926.83i 0.0684788 0.988909i
\(157\) 2593.06 + 1497.11i 1.31815 + 0.761032i 0.983430 0.181287i \(-0.0580264\pi\)
0.334716 + 0.942319i \(0.391360\pi\)
\(158\) −266.121 153.645i −0.133997 0.0773630i
\(159\) −1571.36 + 767.720i −0.783754 + 0.382919i
\(160\) −2621.59 1513.57i −1.29534 0.747866i
\(161\) −170.561 106.894i −0.0834911 0.0523255i
\(162\) −1263.78 + 318.731i −0.612912 + 0.154580i
\(163\) −1154.51 + 1999.68i −0.554776 + 0.960901i 0.443145 + 0.896450i \(0.353863\pi\)
−0.997921 + 0.0644506i \(0.979471\pi\)
\(164\) 623.200 0.296730
\(165\) 43.4616 627.633i 0.0205059 0.296128i
\(166\) 2272.72i 1.06263i
\(167\) 1145.13 + 1983.42i 0.530616 + 0.919053i 0.999362 + 0.0357205i \(0.0113726\pi\)
−0.468746 + 0.883333i \(0.655294\pi\)
\(168\) 1781.33 + 1295.99i 0.818052 + 0.595166i
\(169\) 1895.45 3283.01i 0.862744 1.49432i
\(170\) 55.8681 + 32.2555i 0.0252052 + 0.0145523i
\(171\) 2575.71 + 2006.76i 1.15187 + 0.897430i
\(172\) 415.449 + 719.579i 0.184173 + 0.318996i
\(173\) −821.495 1422.87i −0.361024 0.625312i 0.627106 0.778934i \(-0.284239\pi\)
−0.988130 + 0.153622i \(0.950906\pi\)
\(174\) 1184.70 + 82.0368i 0.516161 + 0.0357425i
\(175\) −1594.05 + 2543.48i −0.688565 + 1.09868i
\(176\) −15.4555 + 8.92324i −0.00661933 + 0.00382167i
\(177\) −1920.44 + 2851.33i −0.815533 + 1.21084i
\(178\) 627.125i 0.264073i
\(179\) 2452.01 1415.67i 1.02386 0.591129i 0.108644 0.994081i \(-0.465349\pi\)
0.915221 + 0.402952i \(0.132016\pi\)
\(180\) 1350.56 1733.47i 0.559250 0.717808i
\(181\) 918.046i 0.377005i −0.982073 0.188502i \(-0.939637\pi\)
0.982073 0.188502i \(-0.0603633\pi\)
\(182\) 1199.88 + 2263.91i 0.488689 + 0.922045i
\(183\) −1620.56 + 791.758i −0.654619 + 0.319828i
\(184\) 248.792 0.0996805
\(185\) 206.813 358.211i 0.0821904 0.142358i
\(186\) −1973.29 136.644i −0.777896 0.0538668i
\(187\) −13.1794 + 7.60910i −0.00515385 + 0.00297558i
\(188\) −1944.73 −0.754437
\(189\) −1803.64 + 1870.34i −0.694154 + 0.719826i
\(190\) 3663.32 1.39877
\(191\) 1671.69 965.153i 0.633296 0.365634i −0.148731 0.988878i \(-0.547519\pi\)
0.782027 + 0.623244i \(0.214186\pi\)
\(192\) −1759.38 121.831i −0.661313 0.0457938i
\(193\) 666.196 1153.89i 0.248466 0.430355i −0.714635 0.699498i \(-0.753407\pi\)
0.963100 + 0.269143i \(0.0867404\pi\)
\(194\) 151.479 0.0560596
\(195\) 6121.18 2990.63i 2.24793 1.09827i
\(196\) 1643.29 + 119.303i 0.598868 + 0.0434777i
\(197\) 1816.48i 0.656949i −0.944513 0.328474i \(-0.893466\pi\)
0.944513 0.328474i \(-0.106534\pi\)
\(198\) −129.655 319.660i −0.0465361 0.114734i
\(199\) 58.8698 33.9885i 0.0209707 0.0121074i −0.489478 0.872016i \(-0.662813\pi\)
0.510449 + 0.859908i \(0.329479\pi\)
\(200\) 3710.11i 1.31172i
\(201\) 781.174 1159.83i 0.274128 0.407006i
\(202\) −2550.50 + 1472.53i −0.888380 + 0.512907i
\(203\) 2091.80 1108.67i 0.723230 0.383316i
\(204\) −53.0281 3.67203i −0.0181996 0.00126026i
\(205\) 1099.09 + 1903.68i 0.374458 + 0.648581i
\(206\) 1645.93 + 2850.83i 0.556686 + 0.964209i
\(207\) −40.4472 + 290.651i −0.0135810 + 0.0975924i
\(208\) −167.362 96.6266i −0.0557908 0.0322108i
\(209\) −432.091 + 748.404i −0.143007 + 0.247695i
\(210\) −306.610 + 2898.99i −0.100753 + 0.952615i
\(211\) 856.959 + 1484.30i 0.279599 + 0.484280i 0.971285 0.237918i \(-0.0764650\pi\)
−0.691686 + 0.722199i \(0.743132\pi\)
\(212\) 1616.74i 0.523764i
\(213\) 228.736 3303.20i 0.0735810 1.06259i
\(214\) 779.717 0.249067
\(215\) −1465.39 + 2538.14i −0.464833 + 0.805114i
\(216\) 661.332 3142.68i 0.208324 0.989966i
\(217\) −3484.20 + 1846.64i −1.08997 + 0.577688i
\(218\) −1806.53 1043.00i −0.561255 0.324041i
\(219\) −2716.96 + 1327.43i −0.838333 + 0.409585i
\(220\) 503.682 + 290.801i 0.154355 + 0.0891172i
\(221\) −142.715 82.3963i −0.0434390 0.0250795i
\(222\) 15.6670 226.248i 0.00473648 0.0684000i
\(223\) −2434.38 1405.49i −0.731023 0.422056i 0.0877734 0.996140i \(-0.472025\pi\)
−0.818796 + 0.574084i \(0.805358\pi\)
\(224\) −2923.63 + 1549.54i −0.872068 + 0.462201i
\(225\) 4334.32 + 603.168i 1.28424 + 0.178717i
\(226\) −131.723 + 228.150i −0.0387702 + 0.0671519i
\(227\) −3911.92 −1.14380 −0.571901 0.820322i \(-0.693794\pi\)
−0.571901 + 0.820322i \(0.693794\pi\)
\(228\) −2712.09 + 1325.05i −0.787774 + 0.384883i
\(229\) 1284.55i 0.370680i 0.982674 + 0.185340i \(0.0593386\pi\)
−0.982674 + 0.185340i \(0.940661\pi\)
\(230\) 164.618 + 285.126i 0.0471937 + 0.0817420i
\(231\) −556.088 404.577i −0.158389 0.115235i
\(232\) −1463.07 + 2534.12i −0.414032 + 0.717125i
\(233\) 1309.89 + 756.266i 0.368300 + 0.212638i 0.672715 0.739901i \(-0.265128\pi\)
−0.304416 + 0.952539i \(0.598461\pi\)
\(234\) 2295.74 2946.63i 0.641356 0.823193i
\(235\) −3429.78 5940.56i −0.952061 1.64902i
\(236\) −1589.01 2752.25i −0.438287 0.759135i
\(237\) 392.050 + 802.443i 0.107453 + 0.219934i
\(238\) 62.3049 33.0219i 0.0169690 0.00899367i
\(239\) −2341.49 + 1351.86i −0.633718 + 0.365877i −0.782191 0.623039i \(-0.785898\pi\)
0.148473 + 0.988917i \(0.452564\pi\)
\(240\) −96.5195 197.555i −0.0259596 0.0531338i
\(241\) 4934.13i 1.31882i 0.751785 + 0.659409i \(0.229193\pi\)
−0.751785 + 0.659409i \(0.770807\pi\)
\(242\) −1981.76 + 1144.17i −0.526416 + 0.303926i
\(243\) 3563.91 + 1283.52i 0.940845 + 0.338838i
\(244\) 1667.36i 0.437467i
\(245\) 2533.73 + 5230.16i 0.660709 + 1.36385i
\(246\) 999.660 + 673.295i 0.259089 + 0.174503i
\(247\) −9357.92 −2.41065
\(248\) 2436.96 4220.94i 0.623980 1.08077i
\(249\) −3689.94 + 5478.56i −0.939118 + 1.39433i
\(250\) 972.689 561.582i 0.246073 0.142070i
\(251\) −633.966 −0.159425 −0.0797123 0.996818i \(-0.525400\pi\)
−0.0797123 + 0.996818i \(0.525400\pi\)
\(252\) −821.587 2257.13i −0.205378 0.564228i
\(253\) −77.6669 −0.0192999
\(254\) 45.6018 26.3282i 0.0112650 0.00650386i
\(255\) −82.3049 168.461i −0.0202123 0.0413703i
\(256\) 2092.87 3624.95i 0.510954 0.884998i
\(257\) −532.495 −0.129246 −0.0646228 0.997910i \(-0.520584\pi\)
−0.0646228 + 0.997910i \(0.520584\pi\)
\(258\) −111.010 + 1603.10i −0.0267875 + 0.386841i
\(259\) −211.728 399.482i −0.0507958 0.0958402i
\(260\) 6297.96i 1.50224i
\(261\) −2722.62 2121.21i −0.645693 0.503065i
\(262\) 1516.89 875.778i 0.357687 0.206511i
\(263\) 5230.97i 1.22645i 0.789910 + 0.613223i \(0.210127\pi\)
−0.789910 + 0.613223i \(0.789873\pi\)
\(264\) 847.950 + 58.7178i 0.197681 + 0.0136888i
\(265\) 4938.64 2851.32i 1.14482 0.660964i
\(266\) 2126.45 3392.99i 0.490154 0.782095i
\(267\) −1018.19 + 1511.73i −0.233379 + 0.346504i
\(268\) 646.358 + 1119.53i 0.147323 + 0.255171i
\(269\) 3581.36 + 6203.09i 0.811744 + 1.40598i 0.911642 + 0.410985i \(0.134815\pi\)
−0.0998978 + 0.994998i \(0.531852\pi\)
\(270\) 4039.22 1321.49i 0.910441 0.297865i
\(271\) 669.831 + 386.727i 0.150145 + 0.0866863i 0.573190 0.819422i \(-0.305706\pi\)
−0.423045 + 0.906109i \(0.639039\pi\)
\(272\) −2.65926 + 4.60597i −0.000592798 + 0.00102676i
\(273\) 783.232 7405.44i 0.173639 1.64175i
\(274\) −1111.28 1924.79i −0.245017 0.424382i
\(275\) 1158.21i 0.253972i
\(276\) −225.004 151.546i −0.0490712 0.0330506i
\(277\) −985.162 −0.213692 −0.106846 0.994276i \(-0.534075\pi\)
−0.106846 + 0.994276i \(0.534075\pi\)
\(278\) −1008.06 + 1746.01i −0.217479 + 0.376685i
\(279\) 4534.91 + 3533.19i 0.973111 + 0.758159i
\(280\) −6086.53 3814.55i −1.29907 0.814153i
\(281\) −68.0344 39.2797i −0.0144434 0.00833890i 0.492761 0.870165i \(-0.335988\pi\)
−0.507204 + 0.861826i \(0.669321\pi\)
\(282\) −3119.50 2101.06i −0.658736 0.443674i
\(283\) −2059.84 1189.25i −0.432668 0.249801i 0.267815 0.963470i \(-0.413698\pi\)
−0.700482 + 0.713670i \(0.747032\pi\)
\(284\) 2650.85 + 1530.47i 0.553871 + 0.319777i
\(285\) −8830.72 5947.70i −1.83539 1.23618i
\(286\) 856.179 + 494.315i 0.177017 + 0.102201i
\(287\) 2401.19 + 87.0483i 0.493860 + 0.0179035i
\(288\) 3805.30 + 2964.74i 0.778574 + 0.606593i
\(289\) 2454.23 4250.86i 0.499538 0.865226i
\(290\) −3872.27 −0.784094
\(291\) −365.152 245.939i −0.0735587 0.0495436i
\(292\) 2795.42i 0.560238i
\(293\) 1799.84 + 3117.41i 0.358866 + 0.621573i 0.987772 0.155908i \(-0.0498303\pi\)
−0.628906 + 0.777481i \(0.716497\pi\)
\(294\) 2507.08 + 1966.76i 0.497332 + 0.390149i
\(295\) 5604.84 9707.87i 1.10619 1.91598i
\(296\) 483.954 + 279.411i 0.0950312 + 0.0548663i
\(297\) −206.452 + 981.069i −0.0403352 + 0.191675i
\(298\) 1936.75 + 3354.54i 0.376485 + 0.652092i
\(299\) −420.514 728.351i −0.0813342 0.140875i
\(300\) −2259.92 + 3355.36i −0.434922 + 0.645740i
\(301\) 1500.22 + 2830.57i 0.287279 + 0.542031i
\(302\) −3316.73 + 1914.92i −0.631975 + 0.364871i
\(303\) 8538.96 + 591.295i 1.61898 + 0.112109i
\(304\) 302.017i 0.0569799i
\(305\) 5093.27 2940.60i 0.956197 0.552060i
\(306\) −81.0940 63.1810i −0.0151498 0.0118033i
\(307\) 2829.86i 0.526086i 0.964784 + 0.263043i \(0.0847262\pi\)
−0.964784 + 0.263043i \(0.915274\pi\)
\(308\) 561.713 297.711i 0.103917 0.0550767i
\(309\) 660.922 9544.45i 0.121678 1.75717i
\(310\) 6449.82 1.18169
\(311\) 3570.62 6184.49i 0.651033 1.12762i −0.331840 0.943336i \(-0.607669\pi\)
0.982873 0.184286i \(-0.0589974\pi\)
\(312\) 4040.43 + 8269.89i 0.733154 + 1.50061i
\(313\) −3058.15 + 1765.62i −0.552259 + 0.318847i −0.750032 0.661401i \(-0.769962\pi\)
0.197774 + 0.980248i \(0.436629\pi\)
\(314\) −5353.23 −0.962103
\(315\) 5445.85 6490.42i 0.974091 1.16093i
\(316\) −825.616 −0.146976
\(317\) 1844.54 1064.95i 0.326814 0.188686i −0.327612 0.944812i \(-0.606244\pi\)
0.654426 + 0.756126i \(0.272911\pi\)
\(318\) 1746.70 2593.37i 0.308019 0.457324i
\(319\) 456.736 791.090i 0.0801640 0.138848i
\(320\) 5750.63 1.00459
\(321\) −1879.57 1265.93i −0.326813 0.220117i
\(322\) 359.640 + 13.0377i 0.0622422 + 0.00225641i
\(323\) 257.539i 0.0443648i
\(324\) −2512.38 + 2439.36i −0.430793 + 0.418271i
\(325\) −10861.5 + 6270.90i −1.85381 + 1.07030i
\(326\) 4128.22i 0.701353i
\(327\) 2661.38 + 5447.27i 0.450075 + 0.921208i
\(328\) −2571.93 + 1484.91i −0.432961 + 0.249970i
\(329\) −7493.05 271.639i −1.25564 0.0455196i
\(330\) 493.767 + 1010.64i 0.0823666 + 0.168587i
\(331\) 2449.86 + 4243.28i 0.406817 + 0.704628i 0.994531 0.104441i \(-0.0333054\pi\)
−0.587714 + 0.809069i \(0.699972\pi\)
\(332\) −3053.13 5288.17i −0.504705 0.874175i
\(333\) −405.099 + 519.952i −0.0666646 + 0.0855652i
\(334\) −3546.08 2047.33i −0.580937 0.335404i
\(335\) −2279.87 + 3948.85i −0.371829 + 0.644026i
\(336\) −239.003 25.2780i −0.0388056 0.00410425i
\(337\) −1234.19 2137.68i −0.199497 0.345539i 0.748868 0.662719i \(-0.230598\pi\)
−0.948365 + 0.317180i \(0.897264\pi\)
\(338\) 6777.60i 1.09069i
\(339\) 687.948 336.111i 0.110219 0.0538497i
\(340\) 173.326 0.0276468
\(341\) −760.759 + 1317.67i −0.120814 + 0.209255i
\(342\) −5781.95 804.622i −0.914188 0.127219i
\(343\) 6314.95 + 689.208i 0.994097 + 0.108495i
\(344\) −3429.10 1979.79i −0.537455 0.310300i
\(345\) 66.1021 954.587i 0.0103154 0.148966i
\(346\) 2543.90 + 1468.72i 0.395262 + 0.228205i
\(347\) −8699.48 5022.64i −1.34586 0.777031i −0.358197 0.933646i \(-0.616608\pi\)
−0.987660 + 0.156615i \(0.949942\pi\)
\(348\) 2866.78 1400.62i 0.441596 0.215751i
\(349\) −9911.49 5722.40i −1.52020 0.877688i −0.999716 0.0238161i \(-0.992418\pi\)
−0.520484 0.853872i \(-0.674248\pi\)
\(350\) 194.425 5363.13i 0.0296927 0.819061i
\(351\) −10318.1 + 3375.74i −1.56907 + 0.513345i
\(352\) −638.362 + 1105.68i −0.0966614 + 0.167422i
\(353\) 1456.87 0.219664 0.109832 0.993950i \(-0.464969\pi\)
0.109832 + 0.993950i \(0.464969\pi\)
\(354\) 424.590 6131.55i 0.0637478 0.920589i
\(355\) 10796.7i 1.61417i
\(356\) −842.468 1459.20i −0.125423 0.217240i
\(357\) −203.805 21.5553i −0.0302142 0.00319559i
\(358\) −2531.02 + 4383.85i −0.373655 + 0.647189i
\(359\) 282.828 + 163.291i 0.0415797 + 0.0240060i 0.520646 0.853773i \(-0.325691\pi\)
−0.479066 + 0.877779i \(0.659025\pi\)
\(360\) −1443.38 + 10372.0i −0.211313 + 1.51848i
\(361\) 3882.81 + 6725.22i 0.566089 + 0.980496i
\(362\) 820.669 + 1421.44i 0.119153 + 0.206379i
\(363\) 6634.85 + 459.442i 0.959337 + 0.0664310i
\(364\) 5833.19 + 3655.78i 0.839951 + 0.526414i
\(365\) 8539.14 4930.08i 1.22455 0.706992i
\(366\) 1801.39 2674.57i 0.257268 0.381973i
\(367\) 6367.01i 0.905599i −0.891612 0.452800i \(-0.850425\pi\)
0.891612 0.452800i \(-0.149575\pi\)
\(368\) −23.5068 + 13.5716i −0.00332983 + 0.00192248i
\(369\) −1316.61 3246.06i −0.185745 0.457949i
\(370\) 739.507i 0.103906i
\(371\) 225.825 6229.29i 0.0316018 0.871722i
\(372\) −4775.03 + 2332.94i −0.665520 + 0.325154i
\(373\) −1937.38 −0.268938 −0.134469 0.990918i \(-0.542933\pi\)
−0.134469 + 0.990918i \(0.542933\pi\)
\(374\) 13.6040 23.5628i 0.00188087 0.00325777i
\(375\) −3256.52 225.503i −0.448442 0.0310532i
\(376\) 8025.86 4633.73i 1.10080 0.635550i
\(377\) 9891.67 1.35132
\(378\) 1120.67 4508.23i 0.152490 0.613435i
\(379\) 9315.44 1.26254 0.631269 0.775564i \(-0.282534\pi\)
0.631269 + 0.775564i \(0.282534\pi\)
\(380\) 8523.84 4921.24i 1.15069 0.664354i
\(381\) −152.673 10.5721i −0.0205293 0.00142159i
\(382\) −1725.56 + 2988.76i −0.231119 + 0.400309i
\(383\) 2954.91 0.394227 0.197114 0.980381i \(-0.436843\pi\)
0.197114 + 0.980381i \(0.436843\pi\)
\(384\) −3840.01 + 1876.12i −0.510312 + 0.249323i
\(385\) 1900.07 + 1190.81i 0.251523 + 0.157634i
\(386\) 2382.13i 0.314112i
\(387\) 2870.37 3684.17i 0.377026 0.483919i
\(388\) 352.462 203.494i 0.0461174 0.0266259i
\(389\) 4739.61i 0.617757i 0.951101 + 0.308879i \(0.0999537\pi\)
−0.951101 + 0.308879i \(0.900046\pi\)
\(390\) −6804.21 + 10102.4i −0.883448 + 1.31168i
\(391\) −20.0449 + 11.5729i −0.00259262 + 0.00149685i
\(392\) −7066.10 + 3423.14i −0.910439 + 0.441057i
\(393\) −5078.48 351.668i −0.651846 0.0451382i
\(394\) 1623.81 + 2812.52i 0.207630 + 0.359626i
\(395\) −1456.08 2522.00i −0.185477 0.321255i
\(396\) −731.106 569.611i −0.0927764 0.0722829i
\(397\) 6808.08 + 3930.65i 0.860674 + 0.496911i 0.864238 0.503083i \(-0.167801\pi\)
−0.00356368 + 0.999994i \(0.501134\pi\)
\(398\) −60.7667 + 105.251i −0.00765316 + 0.0132557i
\(399\) −10634.8 + 4726.58i −1.33434 + 0.593045i
\(400\) 202.387 + 350.544i 0.0252984 + 0.0438180i
\(401\) 4166.67i 0.518886i −0.965758 0.259443i \(-0.916461\pi\)
0.965758 0.259443i \(-0.0835390\pi\)
\(402\) −172.710 + 2494.12i −0.0214278 + 0.309441i
\(403\) −16476.0 −2.03654
\(404\) −3956.35 + 6852.60i −0.487217 + 0.843885i
\(405\) −11882.4 3372.44i −1.45788 0.413772i
\(406\) −2247.74 + 3586.51i −0.274762 + 0.438412i
\(407\) −151.078 87.2252i −0.0183997 0.0106231i
\(408\) 227.595 111.196i 0.0276168 0.0134927i
\(409\) −11636.0 6718.04i −1.40675 0.812190i −0.411681 0.911328i \(-0.635058\pi\)
−0.995074 + 0.0991379i \(0.968392\pi\)
\(410\) −3403.52 1965.02i −0.409971 0.236697i
\(411\) −446.233 + 6444.10i −0.0535549 + 0.773392i
\(412\) 7659.51 + 4422.22i 0.915915 + 0.528804i
\(413\) −5738.02 10826.4i −0.683655 1.28990i
\(414\) −197.196 486.181i −0.0234098 0.0577162i
\(415\) 10769.2 18652.7i 1.27382 2.20633i
\(416\) −13825.2 −1.62941
\(417\) 5264.78 2572.22i 0.618267 0.302067i
\(418\) 1545.04i 0.180790i
\(419\) 5509.22 + 9542.24i 0.642346 + 1.11258i 0.984908 + 0.173080i \(0.0553719\pi\)
−0.342562 + 0.939495i \(0.611295\pi\)
\(420\) 3181.03 + 7157.27i 0.369567 + 0.831522i
\(421\) −3981.69 + 6896.49i −0.460940 + 0.798372i −0.999008 0.0445296i \(-0.985821\pi\)
0.538068 + 0.842902i \(0.319154\pi\)
\(422\) −2653.71 1532.12i −0.306116 0.176736i
\(423\) 4108.55 + 10129.5i 0.472256 + 1.16434i
\(424\) 3852.22 + 6672.24i 0.441227 + 0.764228i
\(425\) 172.581 + 298.919i 0.0196974 + 0.0341170i
\(426\) 2598.67 + 5318.93i 0.295554 + 0.604937i
\(427\) 232.896 6424.34i 0.0263949 0.728093i
\(428\) 1814.25 1047.46i 0.204895 0.118296i
\(429\) −1261.32 2581.66i −0.141952 0.290545i
\(430\) 5239.84i 0.587646i
\(431\) 5455.54 3149.75i 0.609707 0.352015i −0.163144 0.986602i \(-0.552163\pi\)
0.772851 + 0.634588i \(0.218830\pi\)
\(432\) 108.949 + 333.008i 0.0121338 + 0.0370876i
\(433\) 1195.77i 0.132714i 0.997796 + 0.0663571i \(0.0211377\pi\)
−0.997796 + 0.0663571i \(0.978862\pi\)
\(434\) 3743.93 5973.85i 0.414088 0.660723i
\(435\) 9334.39 + 6286.94i 1.02885 + 0.692956i
\(436\) −5604.58 −0.615621
\(437\) −657.181 + 1138.27i −0.0719388 + 0.124602i
\(438\) 3020.13 4484.06i 0.329469 0.489171i
\(439\) −4954.45 + 2860.45i −0.538640 + 0.310984i −0.744527 0.667592i \(-0.767325\pi\)
0.205888 + 0.978576i \(0.433992\pi\)
\(440\) −2771.58 −0.300295
\(441\) −2850.30 8811.46i −0.307775 0.951459i
\(442\) 294.626 0.0317057
\(443\) −7609.01 + 4393.06i −0.816061 + 0.471153i −0.849056 0.528302i \(-0.822829\pi\)
0.0329952 + 0.999456i \(0.489495\pi\)
\(444\) −267.484 547.483i −0.0285906 0.0585189i
\(445\) 2971.60 5146.96i 0.316556 0.548290i
\(446\) 5025.64 0.533567
\(447\) 777.699 11230.8i 0.0822906 1.18837i
\(448\) 3338.07 5326.26i 0.352029 0.561701i
\(449\) 14022.9i 1.47390i −0.675945 0.736952i \(-0.736264\pi\)
0.675945 0.736952i \(-0.263736\pi\)
\(450\) −7250.17 + 2940.68i −0.759502 + 0.308055i
\(451\) 802.894 463.551i 0.0838288 0.0483986i
\(452\) 707.815i 0.0736566i
\(453\) 11104.3 + 768.934i 1.15171 + 0.0797520i
\(454\) 6056.95 3496.98i 0.626138 0.361501i
\(455\) −879.695 + 24266.0i −0.0906390 + 2.50024i
\(456\) 8035.52 11930.6i 0.825214 1.22522i
\(457\) 6061.20 + 10498.3i 0.620418 + 1.07459i 0.989408 + 0.145162i \(0.0463702\pi\)
−0.368990 + 0.929433i \(0.620296\pi\)
\(458\) −1148.30 1988.92i −0.117154 0.202917i
\(459\) 92.9036 + 283.965i 0.00944743 + 0.0288766i
\(460\) 766.066 + 442.288i 0.0776478 + 0.0448300i
\(461\) 7878.24 13645.5i 0.795935 1.37860i −0.126309 0.991991i \(-0.540313\pi\)
0.922244 0.386609i \(-0.126354\pi\)
\(462\) 1222.67 + 129.315i 0.123125 + 0.0130223i
\(463\) 2355.94 + 4080.61i 0.236480 + 0.409595i 0.959702 0.281021i \(-0.0906731\pi\)
−0.723222 + 0.690615i \(0.757340\pi\)
\(464\) 319.243i 0.0319407i
\(465\) −15547.8 10471.8i −1.55056 1.04434i
\(466\) −2704.20 −0.268819
\(467\) 4389.02 7602.00i 0.434903 0.753274i −0.562385 0.826876i \(-0.690116\pi\)
0.997288 + 0.0736019i \(0.0234494\pi\)
\(468\) 1383.30 9940.28i 0.136630 0.981816i
\(469\) 2334.04 + 4403.82i 0.229800 + 0.433581i
\(470\) 10620.9 + 6131.97i 1.04235 + 0.601802i
\(471\) 12904.4 + 8691.40i 1.26242 + 0.850273i
\(472\) 13115.6 + 7572.30i 1.27902 + 0.738440i
\(473\) 1070.48 + 618.042i 0.104061 + 0.0600795i
\(474\) −1324.35 891.983i −0.128332 0.0864349i
\(475\) 16974.4 + 9800.20i 1.63967 + 0.946661i
\(476\) 100.610 160.535i 0.00968796 0.0154582i
\(477\) −8421.09 + 3415.61i −0.808334 + 0.327862i
\(478\) 2416.94 4186.26i 0.231272 0.400576i
\(479\) 9448.00 0.901232 0.450616 0.892718i \(-0.351204\pi\)
0.450616 + 0.892718i \(0.351204\pi\)
\(480\) −13046.3 8787.01i −1.24058 0.835563i
\(481\) 1889.06i 0.179072i
\(482\) −4410.76 7639.67i −0.416815 0.721945i
\(483\) −845.772 615.334i −0.0796770 0.0579682i
\(484\) −3074.12 + 5324.53i −0.288704 + 0.500050i
\(485\) 1243.22 + 717.776i 0.116396 + 0.0672011i
\(486\) −6665.50 + 1198.58i −0.622126 + 0.111869i
\(487\) −3150.98 5457.65i −0.293192 0.507823i 0.681371 0.731938i \(-0.261384\pi\)
−0.974563 + 0.224115i \(0.928051\pi\)
\(488\) 3972.84 + 6881.16i 0.368529 + 0.638310i
\(489\) −6702.50 + 9951.38i −0.619831 + 0.920280i
\(490\) −8598.45 5833.06i −0.792731 0.537777i
\(491\) −11356.2 + 6556.53i −1.04379 + 0.602632i −0.920904 0.389789i \(-0.872548\pi\)
−0.122884 + 0.992421i \(0.539214\pi\)
\(492\) 3230.51 + 223.702i 0.296021 + 0.0204985i
\(493\) 272.228i 0.0248692i
\(494\) 14489.2 8365.33i 1.31963 0.761891i
\(495\) 450.587 3237.88i 0.0409139 0.294004i
\(496\) 531.746i 0.0481373i
\(497\) 9999.97 + 6267.18i 0.902535 + 0.565636i
\(498\) 815.808 11781.2i 0.0734081 1.06009i
\(499\) 1276.72 0.114537 0.0572684 0.998359i \(-0.481761\pi\)
0.0572684 + 0.998359i \(0.481761\pi\)
\(500\) 1508.84 2613.39i 0.134955 0.233748i
\(501\) 5224.09 + 10692.6i 0.465859 + 0.953513i
\(502\) 981.590 566.721i 0.0872720 0.0503865i
\(503\) −17740.2 −1.57256 −0.786279 0.617872i \(-0.787995\pi\)
−0.786279 + 0.617872i \(0.787995\pi\)
\(504\) 8768.75 + 7357.50i 0.774982 + 0.650256i
\(505\) −27910.1 −2.45937
\(506\) 120.254 69.4288i 0.0105651 0.00609977i
\(507\) 11004.0 16337.9i 0.963913 1.43115i
\(508\) 70.7377 122.521i 0.00617810 0.0107008i
\(509\) −11516.0 −1.00282 −0.501411 0.865209i \(-0.667186\pi\)
−0.501411 + 0.865209i \(0.667186\pi\)
\(510\) 278.027 + 187.258i 0.0241397 + 0.0162587i
\(511\) 390.463 10770.8i 0.0338025 0.932427i
\(512\) 903.539i 0.0779905i
\(513\) 12631.5 + 11327.1i 1.08712 + 0.974858i
\(514\) 824.479 476.013i 0.0707514 0.0408483i
\(515\) 31196.6i 2.66929i
\(516\) 1895.28 + 3879.24i 0.161696 + 0.330957i
\(517\) −2505.48 + 1446.54i −0.213135 + 0.123054i
\(518\) 684.934 + 429.262i 0.0580971 + 0.0364106i
\(519\) −3747.67 7670.68i −0.316964 0.648758i
\(520\) −15006.2 25991.5i −1.26551 2.19193i
\(521\) 10167.1 + 17609.9i 0.854947 + 1.48081i 0.876694 + 0.481048i \(0.159744\pi\)
−0.0217470 + 0.999764i \(0.506923\pi\)
\(522\) 6111.74 + 850.514i 0.512459 + 0.0713142i
\(523\) −8533.45 4926.79i −0.713464 0.411919i 0.0988783 0.995100i \(-0.468475\pi\)
−0.812342 + 0.583181i \(0.801808\pi\)
\(524\) 2353.01 4075.53i 0.196167 0.339772i
\(525\) −9176.15 + 12612.6i −0.762819 + 1.04849i
\(526\) −4676.12 8099.28i −0.387621 0.671379i
\(527\) 453.435i 0.0374799i
\(528\) −83.3204 + 40.7079i −0.00686753 + 0.00335527i
\(529\) 12048.9 0.990291
\(530\) −5097.77 + 8829.59i −0.417798 + 0.723647i
\(531\) −10978.6 + 14091.2i −0.897231 + 1.15161i
\(532\) 389.763 10751.4i 0.0317638 0.876192i
\(533\) 8694.26 + 5019.63i 0.706548 + 0.407926i
\(534\) 225.111 3250.85i 0.0182425 0.263442i
\(535\) 6399.31 + 3694.65i 0.517134 + 0.298567i
\(536\) −5335.01 3080.17i −0.429921 0.248215i
\(537\) 13218.7 6458.29i 1.06225 0.518986i
\(538\) −11090.3 6402.97i −0.888727 0.513107i
\(539\) 2205.86 1068.62i 0.176277 0.0853965i
\(540\) 7623.21 8501.07i 0.607501 0.677459i
\(541\) −9862.19 + 17081.8i −0.783750 + 1.35749i 0.145993 + 0.989286i \(0.453362\pi\)
−0.929743 + 0.368209i \(0.879971\pi\)
\(542\) −1382.83 −0.109590
\(543\) 329.539 4758.91i 0.0260440 0.376104i
\(544\) 380.482i 0.0299872i
\(545\) −9884.40 17120.3i −0.776883 1.34560i
\(546\) 5407.24 + 12166.2i 0.423825 + 0.953602i
\(547\) −1833.52 + 3175.75i −0.143319 + 0.248236i −0.928745 0.370720i \(-0.879111\pi\)
0.785425 + 0.618956i \(0.212444\pi\)
\(548\) −5171.45 2985.74i −0.403127 0.232745i
\(549\) −8684.77 + 3522.56i −0.675149 + 0.273842i
\(550\) −1035.36 1793.29i −0.0802685 0.139029i
\(551\) −7729.38 13387.7i −0.597609 1.03509i
\(552\) 1289.67 + 89.3058i 0.0994424 + 0.00688607i
\(553\) −3181.10 115.322i −0.244619 0.00886795i
\(554\) 1525.36 880.666i 0.116979 0.0675377i
\(555\) 1200.65 1782.64i 0.0918283 0.136340i
\(556\) 5416.82i 0.413173i
\(557\) −18967.2 + 10950.7i −1.44285 + 0.833028i −0.998039 0.0625971i \(-0.980062\pi\)
−0.444809 + 0.895626i \(0.646728\pi\)
\(558\) −10180.0 1416.65i −0.772316 0.107476i
\(559\) 13385.1i 1.01276i
\(560\) 783.161 + 28.3913i 0.0590975 + 0.00214241i
\(561\) −71.0497 + 34.7128i −0.00534709 + 0.00261243i
\(562\) 140.453 0.0105421
\(563\) −6893.85 + 11940.5i −0.516059 + 0.893840i 0.483767 + 0.875197i \(0.339268\pi\)
−0.999826 + 0.0186434i \(0.994065\pi\)
\(564\) −10081.0 698.076i −0.752635 0.0521175i
\(565\) −2162.16 + 1248.32i −0.160996 + 0.0929509i
\(566\) 4252.43 0.315800
\(567\) −10020.9 + 9047.92i −0.742223 + 0.670154i
\(568\) −14586.7 −1.07754
\(569\) −10087.0 + 5823.75i −0.743181 + 0.429076i −0.823225 0.567715i \(-0.807827\pi\)
0.0800436 + 0.996791i \(0.474494\pi\)
\(570\) 18989.7 + 1314.98i 1.39542 + 0.0966286i
\(571\) −1244.70 + 2155.88i −0.0912243 + 0.158005i −0.908027 0.418913i \(-0.862411\pi\)
0.816802 + 0.576918i \(0.195745\pi\)
\(572\) 2656.21 0.194164
\(573\) 9012.07 4403.03i 0.657042 0.321011i
\(574\) −3795.66 + 2011.72i −0.276006 + 0.146285i
\(575\) 1761.55i 0.127760i
\(576\) −9076.42 1263.08i −0.656570 0.0913688i
\(577\) 18275.1 10551.1i 1.31855 0.761265i 0.335055 0.942199i \(-0.391245\pi\)
0.983495 + 0.180934i \(0.0579119\pi\)
\(578\) 8775.65i 0.631521i
\(579\) 3867.58 5742.30i 0.277601 0.412162i
\(580\) −9010.01 + 5201.93i −0.645035 + 0.372411i
\(581\) −11025.0 20801.8i −0.787256 1.48538i
\(582\) 785.229 + 54.3745i 0.0559257 + 0.00387268i
\(583\) −1202.57 2082.91i −0.0854293 0.147968i
\(584\) 6660.68 + 11536.6i 0.471953 + 0.817447i
\(585\) 32804.1 13305.4i 2.31843 0.940360i
\(586\) −5573.49 3217.86i −0.392899 0.226840i
\(587\) 12811.9 22190.8i 0.900856 1.56033i 0.0744697 0.997223i \(-0.476274\pi\)
0.826386 0.563104i \(-0.190393\pi\)
\(588\) 8475.59 + 1208.31i 0.594434 + 0.0847444i
\(589\) 12874.4 + 22299.1i 0.900645 + 1.55996i
\(590\) 20041.4i 1.39846i
\(591\) 652.039 9416.17i 0.0453829 0.655380i
\(592\) −60.9675 −0.00423269
\(593\) −413.666 + 716.491i −0.0286463 + 0.0496168i −0.879993 0.474986i \(-0.842453\pi\)
0.851347 + 0.524603i \(0.175786\pi\)
\(594\) −557.351 1703.57i −0.0384990 0.117674i
\(595\) 667.824 + 24.2100i 0.0460136 + 0.00166809i
\(596\) 9012.86 + 5203.57i 0.619431 + 0.357629i
\(597\) 317.366 155.056i 0.0217570 0.0106298i
\(598\) 1302.19 + 751.820i 0.0890477 + 0.0514117i
\(599\) −17.0623 9.85092i −0.00116385 0.000671950i 0.499418 0.866361i \(-0.333547\pi\)
−0.500582 + 0.865689i \(0.666881\pi\)
\(600\) 1331.77 19232.2i 0.0906155 1.30859i
\(601\) 8877.74 + 5125.57i 0.602547 + 0.347881i 0.770043 0.637992i \(-0.220235\pi\)
−0.167496 + 0.985873i \(0.553568\pi\)
\(602\) −4853.16 3041.57i −0.328572 0.205922i
\(603\) 4465.73 5731.85i 0.301590 0.387096i
\(604\) −5144.93 + 8911.27i −0.346596 + 0.600322i
\(605\) −21686.4 −1.45732
\(606\) −13749.7 + 6717.71i −0.921690 + 0.450311i
\(607\) 17590.0i 1.17620i −0.808788 0.588101i \(-0.799876\pi\)
0.808788 0.588101i \(-0.200124\pi\)
\(608\) 10803.0 + 18711.4i 0.720594 + 1.24811i
\(609\) 11241.3 4996.17i 0.747983 0.332438i
\(610\) −5257.39 + 9106.06i −0.348960 + 0.604416i
\(611\) −27130.9 15664.1i −1.79640 1.03715i
\(612\) −273.566 38.0697i −0.0180690 0.00251450i
\(613\) −13259.6 22966.2i −0.873652 1.51321i −0.858192 0.513330i \(-0.828412\pi\)
−0.0154607 0.999880i \(-0.504921\pi\)
\(614\) −2529.69 4381.56i −0.166271 0.287989i
\(615\) 5014.07 + 10262.7i 0.328759 + 0.672899i
\(616\) −1608.82 + 2567.04i −0.105229 + 0.167904i
\(617\) 20820.5 12020.7i 1.35851 0.784336i 0.369086 0.929395i \(-0.379671\pi\)
0.989423 + 0.145060i \(0.0463374\pi\)
\(618\) 7508.74 + 15368.8i 0.488747 + 1.00036i
\(619\) 16042.3i 1.04167i −0.853656 0.520837i \(-0.825620\pi\)
0.853656 0.520837i \(-0.174380\pi\)
\(620\) 15007.5 8664.56i 0.972120 0.561254i
\(621\) −313.999 + 1492.14i −0.0202904 + 0.0964211i
\(622\) 12767.5i 0.823041i
\(623\) −3042.21 5739.96i −0.195640 0.369128i
\(624\) −832.877 560.963i −0.0534323 0.0359880i
\(625\) −9615.57 −0.615397
\(626\) 3156.69 5467.55i 0.201544 0.349085i
\(627\) −2508.49 + 3724.43i −0.159776 + 0.237224i
\(628\) −12455.9 + 7191.43i −0.791473 + 0.456957i
\(629\) −51.9888 −0.00329559
\(630\) −2630.00 + 14917.5i −0.166320 + 0.943380i
\(631\) 8270.89 0.521805 0.260902 0.965365i \(-0.415980\pi\)
0.260902 + 0.965365i \(0.415980\pi\)
\(632\) 3407.30 1967.21i 0.214454 0.123815i
\(633\) 3909.45 + 8001.82i 0.245477 + 0.502439i
\(634\) −1903.98 + 3297.79i −0.119269 + 0.206580i
\(635\) 499.020 0.0311858
\(636\) 580.340 8380.75i 0.0361823 0.522513i
\(637\) 21964.7 + 14900.5i 1.36620 + 0.926811i
\(638\) 1633.16i 0.101344i
\(639\) 2371.42 17040.8i 0.146810 1.05497i
\(640\) 12068.8 6967.93i 0.745408 0.430362i
\(641\) 7425.79i 0.457568i 0.973477 + 0.228784i \(0.0734750\pi\)
−0.973477 + 0.228784i \(0.926525\pi\)
\(642\) 4041.85 + 279.885i 0.248472 + 0.0172059i
\(643\) 5121.19 2956.72i 0.314090 0.181340i −0.334665 0.942337i \(-0.608623\pi\)
0.648755 + 0.760997i \(0.275290\pi\)
\(644\) 854.327 452.798i 0.0522752 0.0277061i
\(645\) −8507.31 + 12631.0i −0.519341 + 0.771080i
\(646\) −230.222 398.756i −0.0140216 0.0242861i
\(647\) 9583.58 + 16599.2i 0.582333 + 1.00863i 0.995202 + 0.0978399i \(0.0311933\pi\)
−0.412869 + 0.910790i \(0.635473\pi\)
\(648\) 4556.26 16053.5i 0.276214 0.973209i
\(649\) −4094.37 2363.89i −0.247640 0.142975i
\(650\) 11211.5 19418.9i 0.676540 1.17180i
\(651\) −18724.0 + 8321.83i −1.12727 + 0.501011i
\(652\) −5545.77 9605.56i −0.333112 0.576967i
\(653\) 9070.14i 0.543556i 0.962360 + 0.271778i \(0.0876116\pi\)
−0.962360 + 0.271778i \(0.912388\pi\)
\(654\) −8990.18 6055.10i −0.537529 0.362039i
\(655\) 16599.3 0.990212
\(656\) 162.003 280.598i 0.00964203 0.0167005i
\(657\) −14560.5 + 5905.75i −0.864625 + 0.350693i
\(658\) 11844.6 6277.68i 0.701747 0.371929i
\(659\) 25154.3 + 14522.8i 1.48691 + 0.858465i 0.999889 0.0149269i \(-0.00475157\pi\)
0.487017 + 0.873392i \(0.338085\pi\)
\(660\) 2506.57 + 1688.23i 0.147830 + 0.0995674i
\(661\) −7059.83 4075.99i −0.415424 0.239845i 0.277693 0.960670i \(-0.410430\pi\)
−0.693118 + 0.720824i \(0.743763\pi\)
\(662\) −7586.39 4380.00i −0.445398 0.257151i
\(663\) −710.218 478.349i −0.0416027 0.0280204i
\(664\) 25200.4 + 14549.4i 1.47284 + 0.850343i
\(665\) 33529.8 17770.9i 1.95523 1.03628i
\(666\) 162.427 1167.19i 0.00945033 0.0679094i
\(667\) 694.665 1203.19i 0.0403261 0.0698469i
\(668\) −11001.4 −0.637211
\(669\) −12114.7 8159.53i −0.700120 0.471548i
\(670\) 8152.18i 0.470069i
\(671\) −1240.22 2148.13i −0.0713536 0.123588i
\(672\) −15711.6 + 6982.95i −0.901914 + 0.400853i
\(673\) 376.383 651.914i 0.0215579 0.0373395i −0.855045 0.518554i \(-0.826471\pi\)
0.876603 + 0.481214i \(0.159804\pi\)
\(674\) 3821.87 + 2206.56i 0.218417 + 0.126103i
\(675\) 22251.5 + 4682.50i 1.26883 + 0.267007i
\(676\) 9104.90 + 15770.1i 0.518030 + 0.897254i
\(677\) −1991.13 3448.73i −0.113036 0.195784i 0.803957 0.594687i \(-0.202724\pi\)
−0.916993 + 0.398904i \(0.869391\pi\)
\(678\) −764.712 + 1135.39i −0.0433165 + 0.0643132i
\(679\) 1386.46 734.832i 0.0783616 0.0415320i
\(680\) −715.311 + 412.985i −0.0403396 + 0.0232901i
\(681\) −20278.4 1404.21i −1.14107 0.0790154i
\(682\) 2720.26i 0.152733i
\(683\) −4073.29 + 2351.72i −0.228199 + 0.131751i −0.609741 0.792601i \(-0.708727\pi\)
0.381542 + 0.924352i \(0.375393\pi\)
\(684\) −14534.4 + 5895.17i −0.812480 + 0.329543i
\(685\) 21062.9i 1.17485i
\(686\) −10393.7 + 4578.00i −0.578477 + 0.254794i
\(687\) −461.100 + 6658.79i −0.0256071 + 0.369794i
\(688\) 431.991 0.0239382
\(689\) 13022.2 22555.1i 0.720038 1.24714i
\(690\) 750.986 + 1537.11i 0.0414341 + 0.0848069i
\(691\) 2015.73 1163.78i 0.110972 0.0640700i −0.443486 0.896281i \(-0.646259\pi\)
0.554459 + 0.832211i \(0.312925\pi\)
\(692\) 7892.20 0.433550
\(693\) −2737.39 2296.83i −0.150050 0.125901i
\(694\) 17959.6 0.982329
\(695\) −16546.7 + 9553.25i −0.903098 + 0.521404i
\(696\) −8493.84 + 12611.0i −0.462583 + 0.686810i
\(697\) 138.145 239.274i 0.00750734 0.0130031i
\(698\) 20461.7 1.10958
\(699\) 6518.67 + 4390.48i 0.352731 + 0.237573i
\(700\) −6752.34 12740.1i −0.364592 0.687903i
\(701\) 1250.95i 0.0674005i 0.999432 + 0.0337003i \(0.0107292\pi\)
−0.999432 + 0.0337003i \(0.989271\pi\)
\(702\) 12958.2 14450.5i 0.696691 0.776920i
\(703\) −2556.71 + 1476.12i −0.137167 + 0.0791933i
\(704\) 2425.38i 0.129843i
\(705\) −15646.7 32025.4i −0.835870 1.71085i
\(706\) −2255.72 + 1302.34i −0.120248 + 0.0694253i
\(707\) −16201.0 + 25850.4i −0.861811 + 1.37511i
\(708\) −7249.08 14837.3i −0.384798 0.787599i
\(709\) −17364.5 30076.3i −0.919801 1.59314i −0.799716 0.600379i \(-0.795017\pi\)
−0.120085 0.992764i \(-0.538317\pi\)
\(710\) −9651.52 16716.9i −0.510162 0.883626i
\(711\) 1744.24 + 4300.38i 0.0920031 + 0.226831i
\(712\) 6953.69 + 4014.71i 0.366012 + 0.211317i
\(713\) −1157.06 + 2004.09i −0.0607747 + 0.105265i
\(714\) 334.826 148.812i 0.0175498 0.00779994i
\(715\) 4684.57 + 8113.91i 0.245025 + 0.424396i
\(716\) 13600.5i 0.709880i
\(717\) −12622.9 + 6167.20i −0.657479 + 0.321225i
\(718\) −583.883 −0.0303486
\(719\) 14119.5 24455.6i 0.732361 1.26849i −0.223511 0.974701i \(-0.571752\pi\)
0.955872 0.293785i \(-0.0949149\pi\)
\(720\) −429.418 1058.72i −0.0222270 0.0548002i
\(721\) 28894.4 + 18108.7i 1.49249 + 0.935372i
\(722\) −12023.8 6941.92i −0.619775 0.357827i
\(723\) −1771.14 + 25577.2i −0.0911057 + 1.31567i
\(724\) 3819.07 + 2204.94i 0.196042 + 0.113185i
\(725\) −17942.6 10359.2i −0.919133 0.530662i
\(726\) −10683.7 + 5219.72i −0.546154 + 0.266835i
\(727\) −4105.21 2370.14i −0.209427 0.120913i 0.391618 0.920128i \(-0.371916\pi\)
−0.601045 + 0.799215i \(0.705249\pi\)
\(728\) −32784.1 1188.49i −1.66904 0.0605062i
\(729\) 18013.7 + 7932.72i 0.915189 + 0.403024i
\(730\) −8814.29 + 15266.8i −0.446892 + 0.774040i
\(731\) 368.371 0.0186384
\(732\) 598.511 8643.16i 0.0302208 0.436421i
\(733\) 20291.2i 1.02248i 0.859439 + 0.511238i \(0.170813\pi\)
−0.859439 + 0.511238i \(0.829187\pi\)
\(734\) 5691.66 + 9858.24i 0.286217 + 0.495742i
\(735\) 11256.8 + 28021.3i 0.564915 + 1.40623i
\(736\) −970.905 + 1681.66i −0.0486251 + 0.0842211i
\(737\) 1665.46 + 961.554i 0.0832402 + 0.0480587i
\(738\) 4940.29 + 3849.02i 0.246416 + 0.191984i
\(739\) −14186.1 24571.1i −0.706151 1.22309i −0.966274 0.257515i \(-0.917096\pi\)
0.260123 0.965575i \(-0.416237\pi\)
\(740\) 993.439 + 1720.69i 0.0493508 + 0.0854780i
\(741\) −48509.0 3359.09i −2.40489 0.166531i
\(742\) 5218.90 + 9846.89i 0.258210 + 0.487184i
\(743\) 7268.83 4196.66i 0.358907 0.207215i −0.309694 0.950836i \(-0.600227\pi\)
0.668601 + 0.743621i \(0.266893\pi\)
\(744\) 14147.7 21005.5i 0.697150 1.03508i
\(745\) 36708.7i 1.80524i
\(746\) 2999.71 1731.88i 0.147221 0.0849983i
\(747\) −21094.3 + 27074.9i −1.03320 + 1.32613i
\(748\) 73.1015i 0.00357334i
\(749\) 7136.61 3782.44i 0.348152 0.184522i
\(750\) 5243.75 2561.94i 0.255300 0.124732i
\(751\) 28345.3 1.37727 0.688637 0.725106i \(-0.258209\pi\)
0.688637 + 0.725106i \(0.258209\pi\)
\(752\) −505.541 + 875.623i −0.0245149 + 0.0424610i
\(753\) −3286.31 227.567i −0.159044 0.0110133i
\(754\) −15315.6 + 8842.46i −0.739736 + 0.427087i
\(755\) −36294.9 −1.74955
\(756\) −3448.68 11995.3i −0.165909 0.577068i
\(757\) −18383.7 −0.882651 −0.441326 0.897347i \(-0.645492\pi\)
−0.441326 + 0.897347i \(0.645492\pi\)
\(758\) −14423.4 + 8327.35i −0.691136 + 0.399028i
\(759\) −402.605 27.8791i −0.0192538 0.00133326i
\(760\) −23451.8 + 40619.7i −1.11932 + 1.93872i
\(761\) 29518.0 1.40608 0.703040 0.711150i \(-0.251825\pi\)
0.703040 + 0.711150i \(0.251825\pi\)
\(762\) 245.839 120.110i 0.0116874 0.00571012i
\(763\) −21594.5 782.846i −1.02460 0.0371441i
\(764\) 9272.33i 0.439085i
\(765\) −366.177 902.800i −0.0173061 0.0426677i
\(766\) −4575.19 + 2641.49i −0.215807 + 0.124596i
\(767\) 51195.4i 2.41012i
\(768\) 12150.1 18039.6i 0.570870 0.847587i
\(769\) 21532.4 12431.8i 1.00973 0.582965i 0.0986144 0.995126i \(-0.468559\pi\)
0.911111 + 0.412160i \(0.135226\pi\)
\(770\) −4006.43 145.242i −0.187509 0.00679760i
\(771\) −2760.31 191.143i −0.128937 0.00892846i
\(772\) 3200.11 + 5542.75i 0.149190 + 0.258404i
\(773\) 14395.5 + 24933.8i 0.669820 + 1.16016i