Properties

Label 38.4.e.a.35.1
Level $38$
Weight $4$
Character 38.35
Analytic conductor $2.242$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.24207258022\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + 5157591 x^{4} - 11890401 x^{3} - 56759508 x^{2} + 62864118 x + 272110107\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 35.1
Root \(-5.28151 - 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 38.35
Dual form 38.4.e.a.25.1

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53209 + 1.28558i) q^{2} +(-6.18284 + 2.25037i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-1.97089 + 11.1775i) q^{5} +(-12.3657 - 4.50074i) q^{6} +(4.35993 + 7.55162i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(12.4801 - 10.4721i) q^{9} +O(q^{10})\) \(q+(1.53209 + 1.28558i) q^{2} +(-6.18284 + 2.25037i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-1.97089 + 11.1775i) q^{5} +(-12.3657 - 4.50074i) q^{6} +(4.35993 + 7.55162i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(12.4801 - 10.4721i) q^{9} +(-17.3890 + 14.5911i) q^{10} +(25.8541 - 44.7806i) q^{11} +(-13.1593 - 22.7925i) q^{12} +(26.0508 + 9.48171i) q^{13} +(-3.02837 + 17.1748i) q^{14} +(-12.9677 - 73.5436i) q^{15} +(-15.0351 + 5.47232i) q^{16} +(89.9509 + 75.4778i) q^{17} +32.5833 q^{18} +(-66.4025 + 49.4945i) q^{19} -45.3995 q^{20} +(-43.9507 - 36.8790i) q^{21} +(97.1796 - 35.3705i) q^{22} +(-17.2918 - 98.0667i) q^{23} +(9.14034 - 51.8374i) q^{24} +(-3.58954 - 1.30648i) q^{25} +(27.7227 + 48.0171i) q^{26} +(35.2285 - 61.0176i) q^{27} +(-26.7192 + 22.4201i) q^{28} +(-106.910 + 89.7079i) q^{29} +(74.6782 - 129.346i) q^{30} +(1.55152 + 2.68730i) q^{31} +(-30.0702 - 10.9446i) q^{32} +(-59.0788 + 335.052i) q^{33} +(40.7804 + 231.277i) q^{34} +(-93.0008 + 33.8495i) q^{35} +(49.9205 + 41.8883i) q^{36} -91.5180 q^{37} +(-165.363 - 9.53550i) q^{38} -182.405 q^{39} +(-69.5561 - 58.3645i) q^{40} +(234.973 - 85.5233i) q^{41} +(-19.9256 - 113.004i) q^{42} +(-71.8763 + 407.631i) q^{43} +(194.359 + 70.7409i) q^{44} +(92.4542 + 160.135i) q^{45} +(99.5795 - 172.477i) q^{46} +(468.670 - 393.260i) q^{47} +(80.6447 - 67.6690i) q^{48} +(133.482 - 231.198i) q^{49} +(-3.81990 - 6.61627i) q^{50} +(-726.005 - 264.244i) q^{51} +(-19.2560 + 109.206i) q^{52} +(-105.673 - 599.300i) q^{53} +(132.416 - 48.1954i) q^{54} +(449.577 + 377.240i) q^{55} -69.7588 q^{56} +(299.175 - 455.447i) q^{57} -279.121 q^{58} +(-438.389 - 367.852i) q^{59} +(280.698 - 102.166i) q^{60} +(99.4456 + 563.984i) q^{61} +(-1.07767 + 6.11178i) q^{62} +(133.494 + 48.5877i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(-157.325 + 272.494i) q^{65} +(-521.249 + 437.380i) q^{66} +(228.665 - 191.873i) q^{67} +(-234.845 + 406.764i) q^{68} +(327.599 + 567.418i) q^{69} +(-186.002 - 67.6990i) q^{70} +(43.9429 - 249.213i) q^{71} +(22.6321 + 128.353i) q^{72} +(489.349 - 178.108i) q^{73} +(-140.214 - 117.653i) q^{74} +25.1336 q^{75} +(-241.093 - 227.196i) q^{76} +450.888 q^{77} +(-279.461 - 234.496i) q^{78} +(-212.771 + 77.4423i) q^{79} +(-31.5342 - 178.839i) q^{80} +(-156.884 + 889.731i) q^{81} +(469.947 + 171.047i) q^{82} +(190.469 + 329.902i) q^{83} +(114.747 - 198.748i) q^{84} +(-1020.93 + 856.664i) q^{85} +(-634.161 + 532.124i) q^{86} +(459.129 - 795.235i) q^{87} +(206.833 + 358.245i) q^{88} +(-949.189 - 345.477i) q^{89} +(-64.2180 + 364.199i) q^{90} +(41.9773 + 238.065i) q^{91} +(374.297 - 136.233i) q^{92} +(-15.6402 - 13.1237i) q^{93} +1223.61 q^{94} +(-422.351 - 839.759i) q^{95} +210.548 q^{96} +(-180.131 - 151.148i) q^{97} +(501.728 - 182.614i) q^{98} +(-146.283 - 829.614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} + O(q^{10}) \) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} - 9q^{11} + 36q^{12} + 39q^{13} - 138q^{14} + 423q^{15} + 69q^{17} + 132q^{18} - 462q^{19} - 216q^{20} - 279q^{21} + 204q^{22} - 66q^{23} - 72q^{24} + 342q^{25} + 48q^{26} + 189q^{27} + 192q^{28} + 159q^{29} + 72q^{31} - 1560q^{33} + 408q^{34} - 135q^{35} - 108q^{36} + 1116q^{37} - 294q^{38} - 1248q^{39} + 147q^{41} + 414q^{42} - 117q^{43} + 408q^{44} + 1296q^{45} + 528q^{46} + 783q^{47} + 288q^{48} + 1413q^{49} - 354q^{50} - 2301q^{51} - 348q^{52} - 249q^{53} - 540q^{54} + 2187q^{55} - 336q^{56} - 2670q^{57} - 1932q^{58} - 4248q^{59} + 324q^{60} + 3114q^{61} - 438q^{62} + 363q^{63} - 384q^{64} + 495q^{65} + 822q^{66} + 3060q^{67} + 408q^{68} - 237q^{69} - 270q^{70} + 1686q^{71} + 432q^{72} + 1626q^{73} + 90q^{74} - 1854q^{75} - 1416q^{77} - 108q^{78} - 327q^{79} + 3483q^{81} + 294q^{82} + 927q^{83} + 204q^{84} - 3294q^{85} + 1188q^{86} + 2892q^{87} - 72q^{88} - 6366q^{89} - 5076q^{90} + 840q^{91} - 156q^{92} + 870q^{93} + 3432q^{94} + 513q^{95} - 576q^{96} - 8052q^{97} + 378q^{98} + 4494q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53209 + 1.28558i 0.541675 + 0.454519i
\(3\) −6.18284 + 2.25037i −1.18989 + 0.433084i −0.859684 0.510826i \(-0.829340\pi\)
−0.330204 + 0.943910i \(0.607117\pi\)
\(4\) 0.694593 + 3.93923i 0.0868241 + 0.492404i
\(5\) −1.97089 + 11.1775i −0.176281 + 0.999742i 0.760373 + 0.649487i \(0.225016\pi\)
−0.936654 + 0.350255i \(0.886095\pi\)
\(6\) −12.3657 4.50074i −0.841378 0.306236i
\(7\) 4.35993 + 7.55162i 0.235414 + 0.407749i 0.959393 0.282073i \(-0.0910221\pi\)
−0.723979 + 0.689822i \(0.757689\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) 12.4801 10.4721i 0.462227 0.387855i
\(10\) −17.3890 + 14.5911i −0.549890 + 0.461412i
\(11\) 25.8541 44.7806i 0.708663 1.22744i −0.256690 0.966494i \(-0.582632\pi\)
0.965353 0.260947i \(-0.0840349\pi\)
\(12\) −13.1593 22.7925i −0.316563 0.548303i
\(13\) 26.0508 + 9.48171i 0.555784 + 0.202289i 0.604614 0.796518i \(-0.293327\pi\)
−0.0488306 + 0.998807i \(0.515549\pi\)
\(14\) −3.02837 + 17.1748i −0.0578119 + 0.327868i
\(15\) −12.9677 73.5436i −0.223217 1.26593i
\(16\) −15.0351 + 5.47232i −0.234923 + 0.0855050i
\(17\) 89.9509 + 75.4778i 1.28331 + 1.07683i 0.992779 + 0.119961i \(0.0382770\pi\)
0.290533 + 0.956865i \(0.406167\pi\)
\(18\) 32.5833 0.426665
\(19\) −66.4025 + 49.4945i −0.801778 + 0.597622i
\(20\) −45.3995 −0.507582
\(21\) −43.9507 36.8790i −0.456706 0.383222i
\(22\) 97.1796 35.3705i 0.941761 0.342773i
\(23\) −17.2918 98.0667i −0.156765 0.889057i −0.957155 0.289577i \(-0.906485\pi\)
0.800390 0.599480i \(-0.204626\pi\)
\(24\) 9.14034 51.8374i 0.0777402 0.440886i
\(25\) −3.58954 1.30648i −0.0287163 0.0104519i
\(26\) 27.7227 + 48.0171i 0.209110 + 0.362189i
\(27\) 35.2285 61.0176i 0.251101 0.434920i
\(28\) −26.7192 + 22.4201i −0.180338 + 0.151321i
\(29\) −106.910 + 89.7079i −0.684573 + 0.574425i −0.917339 0.398108i \(-0.869667\pi\)
0.232765 + 0.972533i \(0.425223\pi\)
\(30\) 74.6782 129.346i 0.454477 0.787177i
\(31\) 1.55152 + 2.68730i 0.00898905 + 0.0155695i 0.870485 0.492195i \(-0.163805\pi\)
−0.861496 + 0.507765i \(0.830472\pi\)
\(32\) −30.0702 10.9446i −0.166116 0.0604612i
\(33\) −59.0788 + 335.052i −0.311645 + 1.76743i
\(34\) 40.7804 + 231.277i 0.205700 + 1.16658i
\(35\) −93.0008 + 33.8495i −0.449143 + 0.163475i
\(36\) 49.9205 + 41.8883i 0.231114 + 0.193927i
\(37\) −91.5180 −0.406634 −0.203317 0.979113i \(-0.565172\pi\)
−0.203317 + 0.979113i \(0.565172\pi\)
\(38\) −165.363 9.53550i −0.705934 0.0407069i
\(39\) −182.405 −0.748929
\(40\) −69.5561 58.3645i −0.274945 0.230706i
\(41\) 234.973 85.5233i 0.895041 0.325768i 0.146777 0.989170i \(-0.453110\pi\)
0.748264 + 0.663401i \(0.230888\pi\)
\(42\) −19.9256 113.004i −0.0732045 0.415163i
\(43\) −71.8763 + 407.631i −0.254908 + 1.44565i 0.541401 + 0.840764i \(0.317894\pi\)
−0.796309 + 0.604890i \(0.793217\pi\)
\(44\) 194.359 + 70.7409i 0.665926 + 0.242377i
\(45\) 92.4542 + 160.135i 0.306273 + 0.530480i
\(46\) 99.5795 172.477i 0.319178 0.552833i
\(47\) 468.670 393.260i 1.45452 1.22049i 0.525324 0.850902i \(-0.323944\pi\)
0.929197 0.369586i \(-0.120500\pi\)
\(48\) 80.6447 67.6690i 0.242501 0.203483i
\(49\) 133.482 231.198i 0.389161 0.674046i
\(50\) −3.81990 6.61627i −0.0108043 0.0187136i
\(51\) −726.005 264.244i −1.99335 0.725521i
\(52\) −19.2560 + 109.206i −0.0513524 + 0.291234i
\(53\) −105.673 599.300i −0.273873 1.55321i −0.742519 0.669825i \(-0.766369\pi\)
0.468646 0.883386i \(-0.344742\pi\)
\(54\) 132.416 48.1954i 0.333695 0.121455i
\(55\) 449.577 + 377.240i 1.10220 + 0.924856i
\(56\) −69.7588 −0.166463
\(57\) 299.175 455.447i 0.695206 1.05834i
\(58\) −279.121 −0.631904
\(59\) −438.389 367.852i −0.967346 0.811700i 0.0147864 0.999891i \(-0.495293\pi\)
−0.982132 + 0.188191i \(0.939738\pi\)
\(60\) 280.698 102.166i 0.603966 0.219826i
\(61\) 99.4456 + 563.984i 0.208733 + 1.18378i 0.891457 + 0.453106i \(0.149684\pi\)
−0.682724 + 0.730677i \(0.739205\pi\)
\(62\) −1.07767 + 6.11178i −0.00220749 + 0.0125193i
\(63\) 133.494 + 48.5877i 0.266962 + 0.0971663i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) −157.325 + 272.494i −0.300211 + 0.519981i
\(66\) −521.249 + 437.380i −0.972141 + 0.815723i
\(67\) 228.665 191.873i 0.416954 0.349866i −0.410049 0.912064i \(-0.634488\pi\)
0.827003 + 0.562198i \(0.190044\pi\)
\(68\) −234.845 + 406.764i −0.418811 + 0.725402i
\(69\) 327.599 + 567.418i 0.571569 + 0.989986i
\(70\) −186.002 67.6990i −0.317592 0.115594i
\(71\) 43.9429 249.213i 0.0734516 0.416565i −0.925805 0.378002i \(-0.876611\pi\)
0.999256 0.0385622i \(-0.0122778\pi\)
\(72\) 22.6321 + 128.353i 0.0370448 + 0.210091i
\(73\) 489.349 178.108i 0.784575 0.285562i 0.0814958 0.996674i \(-0.474030\pi\)
0.703079 + 0.711112i \(0.251808\pi\)
\(74\) −140.214 117.653i −0.220264 0.184823i
\(75\) 25.1336 0.0386957
\(76\) −241.093 227.196i −0.363885 0.342911i
\(77\) 450.888 0.667317
\(78\) −279.461 234.496i −0.405676 0.340403i
\(79\) −212.771 + 77.4423i −0.303020 + 0.110290i −0.489055 0.872253i \(-0.662658\pi\)
0.186035 + 0.982543i \(0.440436\pi\)
\(80\) −31.5342 178.839i −0.0440704 0.249936i
\(81\) −156.884 + 889.731i −0.215204 + 1.22048i
\(82\) 469.947 + 171.047i 0.632889 + 0.230353i
\(83\) 190.469 + 329.902i 0.251888 + 0.436283i 0.964046 0.265737i \(-0.0856151\pi\)
−0.712157 + 0.702020i \(0.752282\pi\)
\(84\) 114.747 198.748i 0.149047 0.258157i
\(85\) −1020.93 + 856.664i −1.30277 + 1.09316i
\(86\) −634.161 + 532.124i −0.795155 + 0.667215i
\(87\) 459.129 795.235i 0.565791 0.979979i
\(88\) 206.833 + 358.245i 0.250550 + 0.433966i
\(89\) −949.189 345.477i −1.13049 0.411466i −0.292022 0.956412i \(-0.594328\pi\)
−0.838471 + 0.544946i \(0.816550\pi\)
\(90\) −64.2180 + 364.199i −0.0752131 + 0.426554i
\(91\) 41.9773 + 238.065i 0.0483562 + 0.274242i
\(92\) 374.297 136.233i 0.424164 0.154383i
\(93\) −15.6402 13.1237i −0.0174389 0.0146329i
\(94\) 1223.61 1.34261
\(95\) −422.351 839.759i −0.456129 0.906921i
\(96\) 210.548 0.223844
\(97\) −180.131 151.148i −0.188552 0.158214i 0.543625 0.839328i \(-0.317051\pi\)
−0.732177 + 0.681114i \(0.761496\pi\)
\(98\) 501.728 182.614i 0.517166 0.188233i
\(99\) −146.283 829.614i −0.148505 0.842215i
\(100\) 2.65328 15.0475i 0.00265328 0.0150475i
\(101\) −883.874 321.704i −0.870780 0.316938i −0.132297 0.991210i \(-0.542235\pi\)
−0.738483 + 0.674272i \(0.764457\pi\)
\(102\) −772.598 1338.18i −0.749986 1.29901i
\(103\) −886.196 + 1534.94i −0.847762 + 1.46837i 0.0354397 + 0.999372i \(0.488717\pi\)
−0.883201 + 0.468994i \(0.844617\pi\)
\(104\) −169.894 + 142.558i −0.160188 + 0.134413i
\(105\) 498.835 418.572i 0.463631 0.389033i
\(106\) 608.545 1054.03i 0.557615 0.965817i
\(107\) 262.587 + 454.814i 0.237245 + 0.410921i 0.959923 0.280264i \(-0.0904221\pi\)
−0.722677 + 0.691185i \(0.757089\pi\)
\(108\) 264.832 + 96.3909i 0.235958 + 0.0858816i
\(109\) 142.243 806.698i 0.124994 0.708877i −0.856317 0.516450i \(-0.827253\pi\)
0.981311 0.192427i \(-0.0616358\pi\)
\(110\) 203.822 + 1155.93i 0.176670 + 1.00194i
\(111\) 565.841 205.949i 0.483849 0.176107i
\(112\) −106.877 89.6802i −0.0901688 0.0756606i
\(113\) 1939.84 1.61491 0.807457 0.589927i \(-0.200843\pi\)
0.807457 + 0.589927i \(0.200843\pi\)
\(114\) 1043.87 313.172i 0.857612 0.257292i
\(115\) 1130.22 0.916463
\(116\) −427.639 358.831i −0.342287 0.287213i
\(117\) 424.411 154.473i 0.335357 0.122060i
\(118\) −198.750 1127.16i −0.155054 0.879355i
\(119\) −177.800 + 1008.35i −0.136965 + 0.776769i
\(120\) 561.396 + 204.331i 0.427068 + 0.155440i
\(121\) −671.367 1162.84i −0.504408 0.873660i
\(122\) −572.684 + 991.918i −0.424987 + 0.736099i
\(123\) −1260.34 + 1057.55i −0.923913 + 0.775255i
\(124\) −9.50824 + 7.97836i −0.00688601 + 0.00577805i
\(125\) −687.690 + 1191.11i −0.492071 + 0.852292i
\(126\) 142.061 + 246.057i 0.100443 + 0.173972i
\(127\) −631.477 229.839i −0.441217 0.160590i 0.111853 0.993725i \(-0.464321\pi\)
−0.553070 + 0.833135i \(0.686544\pi\)
\(128\) 22.2270 126.055i 0.0153485 0.0870455i
\(129\) −472.920 2682.07i −0.322778 1.83056i
\(130\) −591.347 + 215.233i −0.398958 + 0.145209i
\(131\) 1410.22 + 1183.31i 0.940545 + 0.789211i 0.977680 0.210100i \(-0.0673788\pi\)
−0.0371353 + 0.999310i \(0.511823\pi\)
\(132\) −1360.88 −0.897347
\(133\) −663.274 285.654i −0.432429 0.186236i
\(134\) 597.003 0.384875
\(135\) 612.590 + 514.024i 0.390543 + 0.327705i
\(136\) −882.729 + 321.287i −0.556569 + 0.202574i
\(137\) −163.611 927.887i −0.102031 0.578647i −0.992365 0.123338i \(-0.960640\pi\)
0.890334 0.455309i \(-0.150471\pi\)
\(138\) −227.548 + 1290.49i −0.140363 + 0.796040i
\(139\) −241.962 88.0668i −0.147647 0.0537390i 0.267140 0.963658i \(-0.413922\pi\)
−0.414786 + 0.909919i \(0.636144\pi\)
\(140\) −197.939 342.840i −0.119492 0.206966i
\(141\) −2012.73 + 3486.15i −1.20214 + 2.08217i
\(142\) 387.706 325.324i 0.229124 0.192258i
\(143\) 1098.12 921.429i 0.642161 0.538837i
\(144\) −130.333 + 225.744i −0.0754243 + 0.130639i
\(145\) −791.999 1371.78i −0.453599 0.785657i
\(146\) 978.698 + 356.217i 0.554778 + 0.201923i
\(147\) −305.018 + 1729.84i −0.171139 + 0.970578i
\(148\) −63.5678 360.511i −0.0353057 0.200228i
\(149\) 1766.77 643.053i 0.971407 0.353563i 0.192914 0.981216i \(-0.438206\pi\)
0.778494 + 0.627652i \(0.215984\pi\)
\(150\) 38.5069 + 32.3111i 0.0209605 + 0.0175879i
\(151\) −1342.24 −0.723375 −0.361688 0.932299i \(-0.617799\pi\)
−0.361688 + 0.932299i \(0.617799\pi\)
\(152\) −77.2977 658.028i −0.0412479 0.351139i
\(153\) 1913.01 1.01083
\(154\) 690.800 + 579.650i 0.361469 + 0.303309i
\(155\) −33.0951 + 12.0456i −0.0171501 + 0.00624212i
\(156\) −126.697 718.536i −0.0650250 0.368775i
\(157\) 232.616 1319.23i 0.118247 0.670613i −0.866844 0.498579i \(-0.833855\pi\)
0.985091 0.172033i \(-0.0550337\pi\)
\(158\) −425.542 154.885i −0.214268 0.0779871i
\(159\) 2002.00 + 3467.57i 0.998549 + 1.72954i
\(160\) 181.598 314.537i 0.0897287 0.155415i
\(161\) 665.171 558.145i 0.325608 0.273217i
\(162\) −1384.18 + 1161.46i −0.671303 + 0.563290i
\(163\) 1164.30 2016.62i 0.559476 0.969041i −0.438064 0.898944i \(-0.644336\pi\)
0.997540 0.0700975i \(-0.0223310\pi\)
\(164\) 500.107 + 866.210i 0.238121 + 0.412437i
\(165\) −3628.59 1320.70i −1.71203 0.623130i
\(166\) −132.299 + 750.302i −0.0618576 + 0.350812i
\(167\) 479.587 + 2719.87i 0.222225 + 1.26030i 0.867920 + 0.496704i \(0.165456\pi\)
−0.645695 + 0.763595i \(0.723432\pi\)
\(168\) 431.308 156.983i 0.198072 0.0720923i
\(169\) −1094.26 918.192i −0.498069 0.417930i
\(170\) −2665.46 −1.20254
\(171\) −310.403 + 1313.07i −0.138813 + 0.587210i
\(172\) −1655.68 −0.733978
\(173\) −492.664 413.394i −0.216512 0.181675i 0.528081 0.849194i \(-0.322912\pi\)
−0.744593 + 0.667519i \(0.767356\pi\)
\(174\) 1725.76 628.126i 0.751895 0.273667i
\(175\) −5.78405 32.8030i −0.00249847 0.0141696i
\(176\) −143.664 + 814.762i −0.0615291 + 0.348949i
\(177\) 3538.29 + 1287.83i 1.50257 + 0.546890i
\(178\) −1010.11 1749.56i −0.425341 0.736712i
\(179\) 1064.68 1844.08i 0.444569 0.770015i −0.553454 0.832880i \(-0.686690\pi\)
0.998022 + 0.0628648i \(0.0200237\pi\)
\(180\) −566.592 + 475.428i −0.234618 + 0.196868i
\(181\) −802.809 + 673.636i −0.329681 + 0.276635i −0.792570 0.609781i \(-0.791257\pi\)
0.462889 + 0.886416i \(0.346813\pi\)
\(182\) −241.738 + 418.702i −0.0984549 + 0.170529i
\(183\) −1884.03 3263.23i −0.761046 1.31817i
\(184\) 748.593 + 272.466i 0.299929 + 0.109165i
\(185\) 180.372 1022.94i 0.0716821 0.406530i
\(186\) −7.09069 40.2133i −0.00279524 0.0158526i
\(187\) 5705.53 2076.64i 2.23118 0.812082i
\(188\) 1874.68 + 1573.04i 0.727260 + 0.610244i
\(189\) 614.375 0.236451
\(190\) 432.495 1829.55i 0.165140 0.698576i
\(191\) −2438.71 −0.923869 −0.461934 0.886914i \(-0.652844\pi\)
−0.461934 + 0.886914i \(0.652844\pi\)
\(192\) 322.579 + 270.676i 0.121251 + 0.101741i
\(193\) 790.073 287.563i 0.294667 0.107250i −0.190457 0.981696i \(-0.560997\pi\)
0.485124 + 0.874446i \(0.338775\pi\)
\(194\) −81.6647 463.143i −0.0302226 0.171401i
\(195\) 359.500 2038.83i 0.132022 0.748735i
\(196\) 1003.46 + 365.228i 0.365691 + 0.133101i
\(197\) −713.006 1234.96i −0.257866 0.446637i 0.707804 0.706409i \(-0.249686\pi\)
−0.965670 + 0.259772i \(0.916353\pi\)
\(198\) 842.412 1459.10i 0.302362 0.523706i
\(199\) 1889.19 1585.22i 0.672972 0.564690i −0.240972 0.970532i \(-0.577466\pi\)
0.913943 + 0.405842i \(0.133022\pi\)
\(200\) 23.4097 19.6431i 0.00827659 0.00694488i
\(201\) −982.016 + 1700.90i −0.344607 + 0.596877i
\(202\) −940.599 1629.17i −0.327625 0.567464i
\(203\) −1143.56 416.221i −0.395379 0.143906i
\(204\) 536.641 3043.44i 0.184178 1.04453i
\(205\) 492.827 + 2794.96i 0.167905 + 0.952237i
\(206\) −3331.01 + 1212.39i −1.12661 + 0.410053i
\(207\) −1242.77 1042.80i −0.417286 0.350145i
\(208\) −443.563 −0.147863
\(209\) 499.615 + 4253.18i 0.165355 + 1.40765i
\(210\) 1302.37 0.427961
\(211\) −1644.43 1379.84i −0.536527 0.450200i 0.333821 0.942636i \(-0.391662\pi\)
−0.870348 + 0.492437i \(0.836106\pi\)
\(212\) 2287.38 832.539i 0.741029 0.269712i
\(213\) 289.128 + 1639.73i 0.0930082 + 0.527476i
\(214\) −182.391 + 1034.39i −0.0582617 + 0.330418i
\(215\) −4414.62 1606.79i −1.40035 0.509684i
\(216\) 281.828 + 488.141i 0.0887777 + 0.153767i
\(217\) −13.5290 + 23.4329i −0.00423229 + 0.00733055i
\(218\) 1255.00 1053.07i 0.389905 0.327169i
\(219\) −2624.76 + 2202.43i −0.809884 + 0.679573i
\(220\) −1173.76 + 2033.02i −0.359705 + 0.623027i
\(221\) 1627.63 + 2819.14i 0.495414 + 0.858082i
\(222\) 1131.68 + 411.899i 0.342133 + 0.124526i
\(223\) −541.258 + 3069.63i −0.162535 + 0.921782i 0.789035 + 0.614349i \(0.210581\pi\)
−0.951570 + 0.307433i \(0.900530\pi\)
\(224\) −48.4540 274.796i −0.0144530 0.0819669i
\(225\) −58.4795 + 21.2848i −0.0173273 + 0.00630661i
\(226\) 2972.01 + 2493.82i 0.874759 + 0.734010i
\(227\) −2700.49 −0.789595 −0.394798 0.918768i \(-0.629185\pi\)
−0.394798 + 0.918768i \(0.629185\pi\)
\(228\) 2001.91 + 862.171i 0.581491 + 0.250433i
\(229\) −6126.53 −1.76791 −0.883957 0.467568i \(-0.845130\pi\)
−0.883957 + 0.467568i \(0.845130\pi\)
\(230\) 1731.59 + 1452.98i 0.496425 + 0.416550i
\(231\) −2787.77 + 1014.66i −0.794033 + 0.289004i
\(232\) −193.876 1099.52i −0.0548645 0.311152i
\(233\) −46.1861 + 261.934i −0.0129861 + 0.0736476i −0.990612 0.136703i \(-0.956349\pi\)
0.977626 + 0.210351i \(0.0674605\pi\)
\(234\) 848.821 + 308.946i 0.237133 + 0.0863095i
\(235\) 3471.96 + 6013.60i 0.963768 + 1.66929i
\(236\) 1144.55 1982.42i 0.315695 0.546800i
\(237\) 1141.26 957.627i 0.312795 0.262466i
\(238\) −1568.72 + 1316.31i −0.427247 + 0.358503i
\(239\) −883.976 + 1531.09i −0.239245 + 0.414385i −0.960498 0.278287i \(-0.910233\pi\)
0.721253 + 0.692672i \(0.243567\pi\)
\(240\) 597.425 + 1034.77i 0.160682 + 0.278309i
\(241\) 4686.94 + 1705.91i 1.25275 + 0.455963i 0.881329 0.472502i \(-0.156649\pi\)
0.371419 + 0.928465i \(0.378871\pi\)
\(242\) 466.327 2644.67i 0.123870 0.702503i
\(243\) −701.900 3980.67i −0.185296 1.05086i
\(244\) −2152.59 + 783.478i −0.564776 + 0.205562i
\(245\) 2321.12 + 1947.65i 0.605270 + 0.507882i
\(246\) −3290.52 −0.852829
\(247\) −2199.13 + 659.761i −0.566508 + 0.169958i
\(248\) −24.8243 −0.00635622
\(249\) −1920.04 1611.11i −0.488666 0.410039i
\(250\) −2584.87 + 940.815i −0.653926 + 0.238010i
\(251\) −207.498 1176.78i −0.0521798 0.295926i 0.947539 0.319640i \(-0.103562\pi\)
−0.999719 + 0.0237138i \(0.992451\pi\)
\(252\) −98.6745 + 559.611i −0.0246663 + 0.139890i
\(253\) −4838.55 1761.09i −1.20236 0.437623i
\(254\) −672.004 1163.94i −0.166005 0.287529i
\(255\) 4384.45 7594.09i 1.07673 1.86494i
\(256\) 196.107 164.554i 0.0478778 0.0401742i
\(257\) 5463.11 4584.09i 1.32599 1.11264i 0.340993 0.940066i \(-0.389237\pi\)
0.984997 0.172572i \(-0.0552078\pi\)
\(258\) 2723.44 4717.14i 0.657186 1.13828i
\(259\) −399.012 691.109i −0.0957274 0.165805i
\(260\) −1182.69 430.465i −0.282106 0.102678i
\(261\) −394.819 + 2239.13i −0.0936349 + 0.531030i
\(262\) 639.341 + 3625.88i 0.150758 + 0.854992i
\(263\) −1349.95 + 491.341i −0.316507 + 0.115199i −0.495389 0.868671i \(-0.664974\pi\)
0.178881 + 0.983871i \(0.442752\pi\)
\(264\) −2085.00 1749.52i −0.486070 0.407862i
\(265\) 6906.92 1.60109
\(266\) −648.964 1290.34i −0.149589 0.297427i
\(267\) 6646.14 1.52336
\(268\) 914.661 + 767.492i 0.208477 + 0.174933i
\(269\) −1129.16 + 410.979i −0.255933 + 0.0931518i −0.466800 0.884363i \(-0.654593\pi\)
0.210868 + 0.977515i \(0.432371\pi\)
\(270\) 277.726 + 1575.06i 0.0625994 + 0.355019i
\(271\) 145.076 822.766i 0.0325193 0.184426i −0.964221 0.265098i \(-0.914596\pi\)
0.996741 + 0.0806723i \(0.0257067\pi\)
\(272\) −1765.46 642.574i −0.393554 0.143242i
\(273\) −795.274 1377.45i −0.176308 0.305375i
\(274\) 942.201 1631.94i 0.207739 0.359814i
\(275\) −151.309 + 126.964i −0.0331792 + 0.0278407i
\(276\) −2007.64 + 1684.61i −0.437847 + 0.367397i
\(277\) 285.665 494.786i 0.0619636 0.107324i −0.833379 0.552701i \(-0.813597\pi\)
0.895343 + 0.445377i \(0.146930\pi\)
\(278\) −257.490 445.986i −0.0555512 0.0962175i
\(279\) 47.5048 + 17.2903i 0.0101937 + 0.00371020i
\(280\) 137.487 779.726i 0.0293443 0.166420i
\(281\) −1149.07 6516.67i −0.243941 1.38346i −0.822939 0.568130i \(-0.807667\pi\)
0.578997 0.815329i \(-0.303444\pi\)
\(282\) −7565.38 + 2753.57i −1.59756 + 0.581464i
\(283\) −5424.27 4551.50i −1.13936 0.956038i −0.139944 0.990159i \(-0.544692\pi\)
−0.999418 + 0.0341219i \(0.989137\pi\)
\(284\) 1012.23 0.211495
\(285\) 4501.09 + 4241.65i 0.935515 + 0.881592i
\(286\) 2866.98 0.592755
\(287\) 1670.31 + 1401.55i 0.343537 + 0.288262i
\(288\) −489.893 + 178.306i −0.100233 + 0.0364820i
\(289\) 1541.14 + 8740.22i 0.313685 + 1.77900i
\(290\) 550.117 3119.87i 0.111393 0.631741i
\(291\) 1453.86 + 529.161i 0.292875 + 0.106598i
\(292\) 1041.51 + 1803.95i 0.208732 + 0.361534i
\(293\) −3317.15 + 5745.48i −0.661400 + 1.14558i 0.318848 + 0.947806i \(0.396704\pi\)
−0.980248 + 0.197773i \(0.936629\pi\)
\(294\) −2691.16 + 2258.15i −0.533848 + 0.447952i
\(295\) 4975.67 4175.08i 0.982016 0.824009i
\(296\) 366.072 634.056i 0.0718835 0.124506i
\(297\) −1821.60 3155.11i −0.355892 0.616424i
\(298\) 3533.55 + 1286.11i 0.686889 + 0.250007i
\(299\) 479.375 2718.67i 0.0927190 0.525835i
\(300\) 17.4576 + 99.0070i 0.00335972 + 0.0190539i
\(301\) −3391.65 + 1234.46i −0.649473 + 0.236389i
\(302\) −2056.43 1725.55i −0.391834 0.328788i
\(303\) 6188.80 1.17339
\(304\) 727.518 1107.53i 0.137257 0.208951i
\(305\) −6499.90 −1.22027
\(306\) 2930.90 + 2459.32i 0.547543 + 0.459444i
\(307\) −3671.67 + 1336.38i −0.682584 + 0.248440i −0.659957 0.751304i \(-0.729425\pi\)
−0.0226273 + 0.999744i \(0.507203\pi\)
\(308\) 313.183 + 1776.15i 0.0579392 + 0.328590i
\(309\) 2025.03 11484.5i 0.372816 2.11434i
\(310\) −66.1902 24.0913i −0.0121269 0.00441384i
\(311\) −1366.86 2367.47i −0.249220 0.431662i 0.714090 0.700054i \(-0.246841\pi\)
−0.963310 + 0.268393i \(0.913508\pi\)
\(312\) 729.621 1263.74i 0.132393 0.229312i
\(313\) 1134.35 951.836i 0.204848 0.171888i −0.534592 0.845110i \(-0.679535\pi\)
0.739440 + 0.673222i \(0.235090\pi\)
\(314\) 2052.36 1722.14i 0.368858 0.309509i
\(315\) −806.188 + 1396.36i −0.144202 + 0.249765i
\(316\) −452.852 784.363i −0.0806169 0.139633i
\(317\) 9902.20 + 3604.10i 1.75446 + 0.638570i 0.999845 0.0176020i \(-0.00560317\pi\)
0.754611 + 0.656172i \(0.227825\pi\)
\(318\) −1390.58 + 7886.36i −0.245219 + 1.39071i
\(319\) 1253.12 + 7106.79i 0.219941 + 1.24735i
\(320\) 682.586 248.441i 0.119243 0.0434008i
\(321\) −2647.03 2221.13i −0.460259 0.386203i
\(322\) 1736.64 0.300556
\(323\) −9708.70 559.841i −1.67247 0.0964409i
\(324\) −3613.83 −0.619655
\(325\) −81.1226 68.0699i −0.0138458 0.0116180i
\(326\) 4376.32 1592.85i 0.743503 0.270613i
\(327\) 935.905 + 5307.78i 0.158274 + 0.897618i
\(328\) −347.371 + 1970.04i −0.0584766 + 0.331637i
\(329\) 5013.12 + 1824.63i 0.840067 + 0.305759i
\(330\) −3861.47 6688.26i −0.644142 1.11569i
\(331\) 916.896 1588.11i 0.152257 0.263717i −0.779800 0.626029i \(-0.784679\pi\)
0.932057 + 0.362312i \(0.118012\pi\)
\(332\) −1167.26 + 979.450i −0.192958 + 0.161911i
\(333\) −1142.16 + 958.384i −0.187957 + 0.157715i
\(334\) −2761.83 + 4783.63i −0.452457 + 0.783678i
\(335\) 1693.98 + 2934.06i 0.276274 + 0.478521i
\(336\) 862.615 + 313.966i 0.140058 + 0.0509770i
\(337\) −251.737 + 1427.67i −0.0406914 + 0.230772i −0.998370 0.0570659i \(-0.981825\pi\)
0.957679 + 0.287838i \(0.0929366\pi\)
\(338\) −496.097 2813.50i −0.0798346 0.452765i
\(339\) −11993.7 + 4365.37i −1.92157 + 0.699393i
\(340\) −4083.73 3426.66i −0.651386 0.546578i
\(341\) 160.452 0.0254808
\(342\) −2163.61 + 1612.69i −0.342090 + 0.254984i
\(343\) 5318.80 0.837283
\(344\) −2536.65 2128.50i −0.397578 0.333607i
\(345\) −6987.94 + 2543.40i −1.09049 + 0.396905i
\(346\) −223.356 1266.71i −0.0347043 0.196818i
\(347\) −542.420 + 3076.21i −0.0839153 + 0.475907i 0.913670 + 0.406457i \(0.133236\pi\)
−0.997585 + 0.0694507i \(0.977875\pi\)
\(348\) 3451.52 + 1256.25i 0.531670 + 0.193512i
\(349\) −266.769 462.057i −0.0409164 0.0708692i 0.844842 0.535016i \(-0.179694\pi\)
−0.885758 + 0.464147i \(0.846361\pi\)
\(350\) 33.3090 57.6929i 0.00508698 0.00881090i
\(351\) 1496.28 1255.53i 0.227537 0.190927i
\(352\) −1267.54 + 1063.60i −0.191933 + 0.161051i
\(353\) −3747.21 + 6490.36i −0.564997 + 0.978603i 0.432053 + 0.901848i \(0.357789\pi\)
−0.997050 + 0.0767549i \(0.975544\pi\)
\(354\) 3765.37 + 6521.82i 0.565331 + 0.979183i
\(355\) 2698.96 + 982.340i 0.403509 + 0.146865i
\(356\) 701.612 3979.04i 0.104453 0.592384i
\(357\) −1169.86 6634.59i −0.173433 0.983585i
\(358\) 4001.88 1456.57i 0.590799 0.215033i
\(359\) −6647.50 5577.92i −0.977275 0.820031i 0.00640098 0.999980i \(-0.497962\pi\)
−0.983676 + 0.179948i \(0.942407\pi\)
\(360\) −1479.27 −0.216567
\(361\) 1959.59 6573.12i 0.285696 0.958320i
\(362\) −2095.98 −0.304316
\(363\) 6767.78 + 5678.84i 0.978557 + 0.821107i
\(364\) −908.637 + 330.717i −0.130839 + 0.0476216i
\(365\) 1026.35 + 5820.71i 0.147182 + 0.834712i
\(366\) 1308.63 7421.62i 0.186894 1.05993i
\(367\) −2788.63 1014.98i −0.396636 0.144364i 0.135999 0.990709i \(-0.456576\pi\)
−0.532635 + 0.846345i \(0.678798\pi\)
\(368\) 796.636 + 1379.81i 0.112847 + 0.195456i
\(369\) 2036.89 3528.00i 0.287361 0.497725i
\(370\) 1591.41 1335.35i 0.223604 0.187626i
\(371\) 4064.96 3410.91i 0.568847 0.477319i
\(372\) 40.8337 70.7260i 0.00569120 0.00985745i
\(373\) 2740.66 + 4746.96i 0.380445 + 0.658950i 0.991126 0.132927i \(-0.0424374\pi\)
−0.610681 + 0.791877i \(0.709104\pi\)
\(374\) 11411.1 + 4153.29i 1.57768 + 0.574229i
\(375\) 1571.43 8912.02i 0.216395 1.22724i
\(376\) 849.910 + 4820.08i 0.116571 + 0.661108i
\(377\) −3635.67 + 1323.27i −0.496675 + 0.180775i
\(378\) 941.277 + 789.825i 0.128080 + 0.107472i
\(379\) −9315.11 −1.26249 −0.631246 0.775582i \(-0.717456\pi\)
−0.631246 + 0.775582i \(0.717456\pi\)
\(380\) 3014.64 2247.03i 0.406968 0.303342i
\(381\) 4421.54 0.594547
\(382\) −3736.32 3135.15i −0.500437 0.419916i
\(383\) −3079.03 + 1120.67i −0.410786 + 0.149514i −0.539143 0.842214i \(-0.681252\pi\)
0.128357 + 0.991728i \(0.459030\pi\)
\(384\) 146.245 + 829.399i 0.0194350 + 0.110222i
\(385\) −888.649 + 5039.78i −0.117636 + 0.667145i
\(386\) 1580.15 + 575.126i 0.208361 + 0.0758372i
\(387\) 3371.72 + 5839.98i 0.442879 + 0.767088i
\(388\) 470.288 814.563i 0.0615342 0.106580i
\(389\) 6367.04 5342.58i 0.829875 0.696348i −0.125387 0.992108i \(-0.540017\pi\)
0.955262 + 0.295760i \(0.0955728\pi\)
\(390\) 3171.85 2661.50i 0.411828 0.345565i
\(391\) 5846.44 10126.3i 0.756182 1.30975i
\(392\) 1067.86 + 1849.58i 0.137589 + 0.238311i
\(393\) −11382.0 4142.73i −1.46094 0.531738i
\(394\) 495.249 2808.70i 0.0633256 0.359137i
\(395\) −446.261 2530.87i −0.0568451 0.322384i
\(396\) 3166.43 1152.49i 0.401816 0.146249i
\(397\) −5236.67 4394.09i −0.662018 0.555499i 0.248673 0.968587i \(-0.420006\pi\)
−0.910691 + 0.413089i \(0.864450\pi\)
\(398\) 4932.33 0.621195
\(399\) 4743.74 + 273.542i 0.595198 + 0.0343214i
\(400\) 61.1185 0.00763981
\(401\) 5610.38 + 4707.67i 0.698675 + 0.586258i 0.921396 0.388624i \(-0.127049\pi\)
−0.222721 + 0.974882i \(0.571494\pi\)
\(402\) −3691.17 + 1343.48i −0.457958 + 0.166683i
\(403\) 14.9380 + 84.7174i 0.00184644 + 0.0104717i
\(404\) 653.333 3705.24i 0.0804568 0.456293i
\(405\) −9635.73 3507.12i −1.18223 0.430297i
\(406\) −1216.95 2107.82i −0.148759 0.257658i
\(407\) −2366.11 + 4098.23i −0.288167 + 0.499120i
\(408\) 4734.76 3972.93i 0.574523 0.482082i
\(409\) −4224.36 + 3544.66i −0.510712 + 0.428538i −0.861380 0.507962i \(-0.830399\pi\)
0.350668 + 0.936500i \(0.385955\pi\)
\(410\) −2838.08 + 4915.69i −0.341860 + 0.592119i
\(411\) 3099.67 + 5368.79i 0.372008 + 0.644338i
\(412\) −6662.01 2424.77i −0.796635 0.289952i
\(413\) 866.534 4914.36i 0.103243 0.585520i
\(414\) −563.424 3195.34i −0.0668860 0.379329i
\(415\) −4062.86 + 1478.76i −0.480574 + 0.174915i
\(416\) −679.578 570.233i −0.0800938 0.0672067i
\(417\) 1694.19 0.198957
\(418\) −4702.33 + 7158.54i −0.550235 + 0.837645i
\(419\) −1125.88 −0.131272 −0.0656359 0.997844i \(-0.520908\pi\)
−0.0656359 + 0.997844i \(0.520908\pi\)
\(420\) 1995.34 + 1674.29i 0.231816 + 0.194516i
\(421\) 5879.23 2139.86i 0.680608 0.247721i 0.0214997 0.999769i \(-0.493156\pi\)
0.659109 + 0.752048i \(0.270934\pi\)
\(422\) −745.524 4228.08i −0.0859989 0.487724i
\(423\) 1730.81 9815.89i 0.198947 1.12829i
\(424\) 4574.77 + 1665.08i 0.523986 + 0.190715i
\(425\) −224.271 388.450i −0.0255971 0.0443355i
\(426\) −1665.02 + 2883.91i −0.189368 + 0.327995i
\(427\) −3825.41 + 3209.90i −0.433548 + 0.363790i
\(428\) −1609.23 + 1350.30i −0.181740 + 0.152498i
\(429\) −4715.92 + 8168.21i −0.530738 + 0.919266i
\(430\) −4697.94 8137.07i −0.526871 0.912568i
\(431\) 645.399 + 234.906i 0.0721294 + 0.0262529i 0.377833 0.925874i \(-0.376669\pi\)
−0.305703 + 0.952127i \(0.598892\pi\)
\(432\) −195.756 + 1110.19i −0.0218016 + 0.123643i
\(433\) −710.953 4032.01i −0.0789058 0.447497i −0.998506 0.0546416i \(-0.982598\pi\)
0.919600 0.392855i \(-0.128513\pi\)
\(434\) −50.8524 + 18.5088i −0.00562441 + 0.00204712i
\(435\) 7983.82 + 6699.22i 0.879988 + 0.738397i
\(436\) 3276.57 0.359906
\(437\) 6001.98 + 5656.03i 0.657011 + 0.619141i
\(438\) −6852.75 −0.747573
\(439\) 9446.82 + 7926.82i 1.02704 + 0.861792i 0.990496 0.137540i \(-0.0439196\pi\)
0.0365473 + 0.999332i \(0.488364\pi\)
\(440\) −4411.91 + 1605.80i −0.478021 + 0.173986i
\(441\) −755.246 4283.21i −0.0815512 0.462500i
\(442\) −1130.54 + 6411.62i −0.121662 + 0.689977i
\(443\) 5347.19 + 1946.22i 0.573482 + 0.208731i 0.612449 0.790510i \(-0.290184\pi\)
−0.0389668 + 0.999241i \(0.512407\pi\)
\(444\) 1204.31 + 2085.93i 0.128725 + 0.222959i
\(445\) 5732.30 9928.63i 0.610645 1.05767i
\(446\) −4775.49 + 4007.11i −0.507009 + 0.425431i
\(447\) −9476.57 + 7951.78i −1.00274 + 0.841402i
\(448\) 279.035 483.303i 0.0294267 0.0509686i
\(449\) −7486.66 12967.3i −0.786898 1.36295i −0.927859 0.372932i \(-0.878352\pi\)
0.140960 0.990015i \(-0.454981\pi\)
\(450\) −116.959 42.5696i −0.0122522 0.00445944i
\(451\) 2245.24 12733.4i 0.234421 1.32947i
\(452\) 1347.40 + 7641.50i 0.140213 + 0.795190i
\(453\) 8298.83 3020.53i 0.860735 0.313282i
\(454\) −4137.40 3471.69i −0.427704 0.358886i
\(455\) −2743.70 −0.282695
\(456\) 1958.73 + 3894.53i 0.201153 + 0.399952i
\(457\) −13039.1 −1.33466 −0.667332 0.744760i \(-0.732564\pi\)
−0.667332 + 0.744760i \(0.732564\pi\)
\(458\) −9386.38 7876.11i −0.957635 0.803551i
\(459\) 7774.30 2829.62i 0.790574 0.287745i
\(460\) 785.040 + 4452.18i 0.0795710 + 0.451270i
\(461\) −1003.14 + 5689.07i −0.101346 + 0.574764i 0.891270 + 0.453472i \(0.149815\pi\)
−0.992617 + 0.121292i \(0.961296\pi\)
\(462\) −5575.53 2029.33i −0.561466 0.204357i
\(463\) 8419.31 + 14582.7i 0.845094 + 1.46375i 0.885539 + 0.464564i \(0.153789\pi\)
−0.0404450 + 0.999182i \(0.512878\pi\)
\(464\) 1116.49 1933.81i 0.111706 0.193480i
\(465\) 177.514 148.952i 0.0177033 0.0148548i
\(466\) −407.497 + 341.931i −0.0405085 + 0.0339906i
\(467\) −2194.78 + 3801.46i −0.217478 + 0.376683i −0.954036 0.299691i \(-0.903116\pi\)
0.736558 + 0.676374i \(0.236450\pi\)
\(468\) 903.297 + 1564.56i 0.0892199 + 0.154533i
\(469\) 2445.92 + 890.241i 0.240814 + 0.0876492i
\(470\) −2411.60 + 13676.8i −0.236678 + 1.34227i
\(471\) 1530.53 + 8680.07i 0.149731 + 0.849165i
\(472\) 4302.11 1565.84i 0.419536 0.152698i
\(473\) 16395.7 + 13757.6i 1.59381 + 1.33737i
\(474\) 2979.61 0.288730
\(475\) 303.018 90.9084i 0.0292704 0.00878139i
\(476\) −4095.63 −0.394376
\(477\) −7594.73 6372.73i −0.729012 0.611714i
\(478\) −3322.66 + 1209.35i −0.317940 + 0.115721i
\(479\) −519.886 2948.42i −0.0495912 0.281246i 0.949921 0.312492i \(-0.101164\pi\)
−0.999512 + 0.0312460i \(0.990052\pi\)
\(480\) −414.967 + 2353.40i −0.0394595 + 0.223786i
\(481\) −2384.12 867.748i −0.226001 0.0822576i
\(482\) 4987.74 + 8639.01i 0.471339 + 0.816382i
\(483\) −2856.61 + 4947.80i −0.269111 + 0.466113i
\(484\) 4114.37 3452.37i 0.386399 0.324227i
\(485\) 2044.46 1715.51i 0.191411 0.160613i
\(486\) 4042.08 7001.09i 0.377268 0.653448i
\(487\) −2766.10 4791.03i −0.257380 0.445795i 0.708159 0.706053i \(-0.249526\pi\)
−0.965539 + 0.260258i \(0.916193\pi\)
\(488\) −4305.18 1566.96i −0.399357 0.145354i
\(489\) −2660.51 + 15088.5i −0.246038 + 1.39535i
\(490\) 1052.31 + 5967.96i 0.0970176 + 0.550214i
\(491\) 4248.85 1546.46i 0.390526 0.142140i −0.139292 0.990251i \(-0.544483\pi\)
0.529818 + 0.848112i \(0.322260\pi\)
\(492\) −5041.37 4230.21i −0.461957 0.387628i
\(493\) −16387.6 −1.49708
\(494\) −4217.44 1816.34i −0.384112 0.165427i
\(495\) 9561.28 0.868177
\(496\) −38.0330 31.9134i −0.00344300 0.00288902i
\(497\) 2073.55 754.709i 0.187145 0.0681153i
\(498\) −870.477 4936.72i −0.0783273 0.444216i
\(499\) −344.421 + 1953.31i −0.0308986 + 0.175235i −0.996352 0.0853421i \(-0.972802\pi\)
0.965453 + 0.260577i \(0.0839128\pi\)
\(500\) −5169.74 1881.63i −0.462395 0.168298i
\(501\) −9085.92 15737.3i −0.810237 1.40337i
\(502\) 1194.93 2069.68i 0.106240 0.184013i
\(503\) −14441.0 + 12117.5i −1.28011 + 1.07414i −0.286877 + 0.957968i \(0.592617\pi\)
−0.993229 + 0.116169i \(0.962939\pi\)
\(504\) −870.600 + 730.520i −0.0769436 + 0.0645634i
\(505\) 5337.84 9245.42i 0.470358 0.814685i
\(506\) −5149.07 8918.46i −0.452380 0.783545i
\(507\) 8831.90 + 3214.55i 0.773646 + 0.281584i
\(508\) 466.769 2647.18i 0.0407668 0.231200i
\(509\) −842.918 4780.43i −0.0734022 0.416284i −0.999262 0.0384167i \(-0.987769\pi\)
0.925860 0.377868i \(-0.123343\pi\)
\(510\) 16480.1 5998.28i 1.43089 0.520801i
\(511\) 3478.53 + 2918.83i 0.301137 + 0.252684i
\(512\) 512.000 0.0441942
\(513\) 680.771 + 5795.34i 0.0585902 + 0.498773i
\(514\) 14263.2 1.22397
\(515\) −15410.1 12930.6i −1.31854 1.10639i
\(516\) 10236.8 3725.89i 0.873352 0.317874i
\(517\) −5493.41 31154.7i −0.467311 2.65025i
\(518\) 277.151 1571.80i 0.0235083 0.133322i
\(519\) 3976.35 + 1447.27i 0.336305 + 0.122405i
\(520\) −1258.60 2179.95i −0.106141 0.183841i
\(521\) 3946.86 6836.17i 0.331891 0.574852i −0.650992 0.759085i \(-0.725647\pi\)
0.982883 + 0.184233i \(0.0589800\pi\)
\(522\) −3483.47 + 2922.98i −0.292083 + 0.245087i
\(523\) 13105.6 10996.9i 1.09573 0.919429i 0.0986025 0.995127i \(-0.468563\pi\)
0.997131 + 0.0756975i \(0.0241183\pi\)
\(524\) −3681.82 + 6377.10i −0.306948 + 0.531650i
\(525\) 109.581 + 189.799i 0.00910951 + 0.0157781i
\(526\) −2699.90 982.682i −0.223804 0.0814581i
\(527\) −63.2715 + 358.830i −0.00522988 + 0.0296601i
\(528\) −945.260 5360.84i −0.0779113 0.441857i
\(529\) 2115.17 769.860i 0.173845 0.0632744i
\(530\) 10582.0 + 8879.37i 0.867271 + 0.727726i
\(531\) −9323.33 −0.761955
\(532\) 664.552 2811.20i 0.0541579 0.229100i
\(533\) 6932.15 0.563348
\(534\) 10182.5 + 8544.11i 0.825166 + 0.692396i
\(535\) −5601.20 + 2038.67i −0.452637 + 0.164746i
\(536\) 414.674 + 2351.73i 0.0334164 + 0.189514i
\(537\) −2432.88 + 13797.5i −0.195506 + 1.10877i
\(538\) −2258.31 821.958i −0.180972 0.0658683i
\(539\) −6902.11 11954.8i −0.551568 0.955343i
\(540\) −1599.36 + 2770.17i −0.127454 + 0.220758i
\(541\) 17690.7 14844.2i 1.40588 1.17967i 0.447464 0.894302i \(-0.352327\pi\)
0.958417 0.285372i \(-0.0921170\pi\)
\(542\) 1280.00 1074.04i 0.101440 0.0851183i
\(543\) 3447.71 5971.60i 0.272477 0.471945i
\(544\) −1878.76 3254.11i −0.148072 0.256468i
\(545\) 8736.48 + 3179.82i 0.686660 + 0.249924i
\(546\) 552.391 3132.77i 0.0432970 0.245549i
\(547\) 3473.82 + 19701.0i 0.271535 + 1.53995i 0.749757 + 0.661713i \(0.230170\pi\)
−0.478222 + 0.878239i \(0.658719\pi\)
\(548\) 3541.52 1289.01i 0.276069 0.100481i
\(549\) 7147.18 + 5997.19i 0.555618 + 0.466219i
\(550\) −395.040 −0.0306265
\(551\) 2659.03 11248.3i 0.205587 0.869677i
\(552\) −5241.58 −0.404160
\(553\) −1512.48 1269.12i −0.116306 0.0975924i
\(554\) 1073.75 390.812i 0.0823451 0.0299712i
\(555\) 1186.78 + 6730.57i 0.0907676 + 0.514769i
\(556\) 178.851 1014.31i 0.0136420 0.0773677i
\(557\) 6872.72 + 2501.46i 0.522812 + 0.190288i 0.589926 0.807457i \(-0.299157\pi\)
−0.0671139 + 0.997745i \(0.521379\pi\)
\(558\) 50.5535 + 87.5613i 0.00383531 + 0.00664295i
\(559\) −5737.48 + 9937.60i −0.434113 + 0.751906i
\(560\) 1213.04 1017.86i 0.0915362 0.0768080i
\(561\) −30603.2 + 25679.1i −2.30315 + 1.93257i
\(562\) 6617.20 11461.3i 0.496672 0.860262i
\(563\) −7273.00 12597.2i −0.544442 0.943000i −0.998642 0.0521008i \(-0.983408\pi\)
0.454200 0.890900i \(-0.349925\pi\)
\(564\) −15130.8 5507.15i −1.12965 0.411157i
\(565\) −3823.21 + 21682.5i −0.284679 + 1.61450i
\(566\) −2459.16 13946.6i −0.182626 1.03572i
\(567\) −7402.91 + 2694.44i −0.548312 + 0.199569i
\(568\) 1550.82 + 1301.30i 0.114562 + 0.0961288i
\(569\) −9607.67 −0.707864 −0.353932 0.935271i \(-0.615156\pi\)
−0.353932 + 0.935271i \(0.615156\pi\)
\(570\) 1443.11 + 12285.1i 0.106044 + 0.902746i
\(571\) 4066.67 0.298047 0.149024 0.988834i \(-0.452387\pi\)
0.149024 + 0.988834i \(0.452387\pi\)
\(572\) 4392.46 + 3685.71i 0.321081 + 0.269419i
\(573\) 15078.2 5488.00i 1.09930 0.400113i
\(574\) 757.255 + 4294.61i 0.0550648 + 0.312288i
\(575\) −66.0530 + 374.605i −0.00479061 + 0.0271689i
\(576\) −979.786 356.613i −0.0708757 0.0257966i
\(577\) −4383.19 7591.92i −0.316247 0.547757i 0.663454 0.748217i \(-0.269090\pi\)
−0.979702 + 0.200460i \(0.935756\pi\)
\(578\) −8875.05 + 15372.0i −0.638674 + 1.10622i
\(579\) −4237.77 + 3555.91i −0.304172 + 0.255231i
\(580\) 4853.65 4072.70i 0.347477 0.291568i
\(581\) −1660.86 + 2876.70i −0.118596 + 0.205414i
\(582\) 1547.16 + 2679.76i 0.110192 + 0.190859i
\(583\) −29569.1 10762.3i −2.10056 0.764541i
\(584\) −723.424 + 4102.74i −0.0512594 + 0.290707i
\(585\) 890.148 + 5048.28i 0.0629113 + 0.356788i
\(586\) −12468.4 + 4538.13i −0.878952 + 0.319912i
\(587\) 12645.9 + 10611.2i 0.889188 + 0.746118i 0.968047 0.250768i \(-0.0806832\pi\)
−0.0788588 + 0.996886i \(0.525128\pi\)
\(588\) −7026.11 −0.492775
\(589\) −236.031 101.652i −0.0165119 0.00711122i
\(590\) 12990.5 0.906462
\(591\) 7187.53 + 6031.05i 0.500263 + 0.419770i
\(592\) 1375.98 500.816i 0.0955278 0.0347693i
\(593\) 981.169 + 5564.49i 0.0679457 + 0.385339i 0.999750 + 0.0223770i \(0.00712342\pi\)
−0.931804 + 0.362962i \(0.881765\pi\)
\(594\) 1265.27 7175.71i 0.0873985 0.495661i
\(595\) −10920.4 3974.70i −0.752424 0.273860i
\(596\) 3760.32 + 6513.07i 0.258438 + 0.447627i
\(597\) −8113.24 + 14052.6i −0.556203 + 0.963371i
\(598\) 4229.50 3548.97i 0.289226 0.242689i
\(599\) −1245.44 + 1045.05i −0.0849537 + 0.0712846i −0.684276 0.729224i \(-0.739881\pi\)
0.599322 + 0.800508i \(0.295437\pi\)
\(600\) −100.534 + 174.131i −0.00684050 + 0.0118481i
\(601\) 12273.5 + 21258.4i 0.833024 + 1.44284i 0.895629 + 0.444802i \(0.146726\pi\)
−0.0626048 + 0.998038i \(0.519941\pi\)
\(602\) −6783.30 2468.92i −0.459247 0.167152i
\(603\) 844.466 4789.20i 0.0570303 0.323435i
\(604\) −932.308 5287.38i −0.0628064 0.356193i
\(605\) 14320.8 5212.34i 0.962352 0.350268i
\(606\) 9481.79 + 7956.17i 0.635597 + 0.533329i
\(607\) 6347.64 0.424452 0.212226 0.977221i \(-0.431929\pi\)
0.212226 + 0.977221i \(0.431929\pi\)
\(608\) 2538.43 761.555i 0.169321 0.0507979i
\(609\) 8007.08 0.532781
\(610\) −9958.43 8356.11i −0.660992 0.554638i
\(611\) 15938.0 5800.96i 1.05529 0.384094i
\(612\) 1328.76 + 7535.78i 0.0877647 + 0.497738i
\(613\) −4225.96 + 23966.6i −0.278442 + 1.57912i 0.449370 + 0.893346i \(0.351649\pi\)
−0.727812 + 0.685777i \(0.759463\pi\)
\(614\) −7343.34 2672.76i −0.482660 0.175674i
\(615\) −9336.76 16171.7i −0.612186 1.06034i
\(616\) −1803.55 + 3123.84i −0.117966 + 0.204323i
\(617\) −4653.49 + 3904.74i −0.303635 + 0.254780i −0.781855 0.623460i \(-0.785726\pi\)
0.478221 + 0.878240i \(0.341282\pi\)
\(618\) 17866.8 14992.0i 1.16295 0.975835i
\(619\) −58.1237 + 100.673i −0.00377413 + 0.00653699i −0.867906 0.496728i \(-0.834535\pi\)
0.864132 + 0.503265i \(0.167868\pi\)
\(620\) −70.4381 122.002i −0.00456268 0.00790280i
\(621\) −6592.96 2399.64i −0.426032 0.155063i
\(622\) 949.410 5384.37i 0.0612023 0.347096i
\(623\) −1529.49 8674.17i −0.0983591 0.557822i
\(624\) 2742.48 998.180i 0.175941 0.0640372i
\(625\) −12324.0 10341.1i −0.788739 0.661830i
\(626\) 2961.59 0.189088
\(627\) −12660.3 25172.4i −0.806383 1.60333i
\(628\) 5358.33 0.340479
\(629\) −8232.13 6907.58i −0.521839 0.437875i
\(630\) −3030.27 + 1102.93i −0.191633 + 0.0697488i
\(631\) −2890.61 16393.5i −0.182367 1.03425i −0.929292 0.369346i \(-0.879582\pi\)
0.746925 0.664908i \(-0.231529\pi\)
\(632\) 314.548 1783.89i 0.0197975 0.112277i
\(633\) 13272.4 + 4830.76i 0.833381 + 0.303326i
\(634\) 10537.7 + 18251.8i 0.660103 + 1.14333i
\(635\) 3813.58 6605.32i 0.238327 0.412794i
\(636\) −12269.0 + 10294.9i −0.764933 + 0.641855i
\(637\) 5669.46 4757.25i 0.352641 0.295901i
\(638\) −7216.42 + 12499.2i −0.447807 + 0.775625i
\(639\) −2061.36 3570.38i −0.127615 0.221036i
\(640\) 1365.17 + 496.882i 0.0843174 + 0.0306890i
\(641\) −917.383 + 5202.74i −0.0565280 + 0.320586i −0.999939 0.0110394i \(-0.996486\pi\)
0.943411 + 0.331626i \(0.107597\pi\)
\(642\) −1200.07 6805.92i −0.0737740 0.418393i
\(643\) 22733.0 8274.12i 1.39425 0.507464i 0.467781 0.883844i \(-0.345054\pi\)
0.926465 + 0.376380i \(0.122831\pi\)
\(644\) 2660.68 + 2232.58i 0.162804 + 0.136609i
\(645\) 30910.7 1.88699
\(646\) −14154.9 13339.0i −0.862099 0.812408i
\(647\) −22736.9 −1.38158 −0.690789 0.723056i \(-0.742737\pi\)
−0.690789 + 0.723056i \(0.742737\pi\)
\(648\) −5536.70 4645.85i −0.335652 0.281645i
\(649\) −27806.8 + 10120.8i −1.68184 + 0.612138i
\(650\) −36.7780 208.578i −0.00221931 0.0125863i
\(651\) 30.9149 175.327i 0.00186121 0.0105555i
\(652\) 8752.64 + 3185.70i 0.525736 + 0.191352i
\(653\) −986.712 1709.04i −0.0591317 0.102419i 0.834944 0.550335i \(-0.185500\pi\)
−0.894076 + 0.447916i \(0.852167\pi\)
\(654\) −5389.66 + 9335.17i −0.322251 + 0.558156i
\(655\) −16005.8 + 13430.5i −0.954808 + 0.801179i
\(656\) −3064.83 + 2571.70i −0.182411 + 0.153061i
\(657\) 4241.97 7347.32i 0.251895 0.436295i
\(658\) 5334.85 + 9240.23i 0.316070 + 0.547449i
\(659\) 1116.19 + 406.260i 0.0659796 + 0.0240146i 0.374799 0.927106i \(-0.377712\pi\)
−0.308820 + 0.951121i \(0.599934\pi\)
\(660\) 2682.15 15211.2i 0.158186 0.897115i
\(661\) 5018.84 + 28463.2i 0.295325 + 1.67487i 0.665877 + 0.746062i \(0.268058\pi\)
−0.370551 + 0.928812i \(0.620831\pi\)
\(662\) 3446.40 1254.39i 0.202339 0.0736453i
\(663\) −16407.5 13767.5i −0.961108 0.806466i
\(664\) −3047.51 −0.178112
\(665\) 4500.12 6850.72i 0.262417 0.399488i
\(666\) −2981.96 −0.173496
\(667\) 10646.0 + 8933.06i 0.618014 + 0.518575i
\(668\) −10381.1 + 3778.40i −0.601282 + 0.218849i
\(669\) −3561.28 20197.0i −0.205810 1.16721i
\(670\) −1176.63 + 6672.97i −0.0678463 + 0.384775i
\(671\) 27826.6 + 10128.1i 1.60094 + 0.582696i
\(672\) 917.976 + 1589.98i 0.0526960 + 0.0912721i
\(673\) −5342.27 + 9253.08i −0.305987 + 0.529985i −0.977481 0.211025i \(-0.932320\pi\)
0.671494 + 0.741010i \(0.265653\pi\)
\(674\) −2221.06 + 1863.69i −0.126932 + 0.106509i
\(675\) −206.173 + 172.999i −0.0117564 + 0.00986481i
\(676\) 2856.91 4948.31i 0.162546 0.281538i
\(677\) 12451.1 + 21565.9i 0.706844 + 1.22429i 0.966022 + 0.258460i \(0.0832151\pi\)
−0.259178 + 0.965830i \(0.583452\pi\)
\(678\) −23987.5 8730.73i −1.35875 0.494545i
\(679\) 356.052 2019.27i 0.0201237 0.114127i
\(680\) −1851.41 10499.9i −0.104409 0.592135i
\(681\) 16696.7 6077.11i 0.939530 0.341961i
\(682\) 245.827 + 206.273i 0.0138023 + 0.0115815i
\(683\) 24754.8 1.38685 0.693423 0.720531i \(-0.256102\pi\)
0.693423 + 0.720531i \(0.256102\pi\)
\(684\) −5388.09 310.698i −0.301197 0.0173682i
\(685\) 10693.9 0.596484
\(686\) 8148.87 + 6837.72i 0.453536 + 0.380562i
\(687\) 37879.3 13786.9i 2.10362 0.765655i
\(688\) −1150.02 6522.10i −0.0637270 0.361414i
\(689\) 2929.53 16614.2i 0.161983 0.918651i
\(690\) −13975.9 5086.81i −0.771091 0.280654i
\(691\) −4061.66 7035.01i −0.223608 0.387300i 0.732293 0.680990i \(-0.238450\pi\)
−0.955901 + 0.293690i \(0.905117\pi\)
\(692\) 1286.25 2227.86i 0.0706591 0.122385i
\(693\) 5627.14 4721.73i 0.308452 0.258822i
\(694\) −4785.74 + 4015.71i −0.261764 + 0.219646i
\(695\) 1461.24 2530.94i 0.0797526 0.138136i
\(696\) 3673.04 + 6361.88i 0.200037 + 0.346475i
\(697\) 27591.2 + 10042.4i 1.49941 + 0.545741i
\(698\) 185.296 1050.86i 0.0100481 0.0569854i
\(699\) −303.888 1723.43i −0.0164436 0.0932564i
\(700\) 125.201 45.5694i 0.00676021 0.00246052i
\(701\) −11630.5 9759.15i −0.626645 0.525818i 0.273239 0.961946i \(-0.411905\pi\)
−0.899884 + 0.436128i \(0.856349\pi\)
\(702\) 3906.51 0.210031
\(703\) 6077.03 4529.64i 0.326031 0.243014i
\(704\) −3309.32 −0.177166
\(705\) −34999.4 29368.0i −1.86972 1.56888i
\(706\) −14084.9 + 5126.48i −0.750839 + 0.273283i
\(707\) −1424.24 8077.28i −0.0757626 0.429671i
\(708\) −2615.40 + 14832.7i −0.138832 + 0.787353i
\(709\) 15726.2 + 5723.88i 0.833020 + 0.303195i 0.723098 0.690746i \(-0.242718\pi\)
0.109922 + 0.993940i \(0.464940\pi\)
\(710\) 2872.17 + 4974.74i 0.151818 + 0.262956i
\(711\) −1844.43 + 3194.65i −0.0972876 + 0.168507i
\(712\) 6190.29 5194.27i 0.325830 0.273404i
\(713\) 236.707 198.620i 0.0124330 0.0104325i
\(714\) 6736.94 11668.7i 0.353114 0.611612i
\(715\) 8134.97 + 14090.2i 0.425497 + 0.736983i
\(716\) 8003.76 + 2913.13i 0.417758 + 0.152051i
\(717\) 2019.96 11455.8i 0.105212 0.596685i
\(718\) −3013.73 17091.7i −0.156646 0.888381i
\(719\) −24987.0 + 9094.52i −1.29605 + 0.471722i −0.895707 0.444645i \(-0.853330\pi\)
−0.400339 + 0.916367i \(0.631108\pi\)
\(720\) −2266.37 1901.71i −0.117309 0.0984341i
\(721\) −15455.0 −0.798300
\(722\) 11452.5 7551.40i 0.590330 0.389244i
\(723\) −32817.5 −1.68810
\(724\) −3211.23 2694.55i −0.164841 0.138318i
\(725\) 500.958 182.334i 0.0256622 0.00934029i
\(726\) 3068.26 + 17401.0i 0.156851 + 0.889546i
\(727\) −2478.57 + 14056.6i −0.126444 + 0.717101i 0.853995 + 0.520281i \(0.174173\pi\)
−0.980440 + 0.196820i \(0.936938\pi\)
\(728\) −1817.27 661.433i −0.0925173 0.0336736i
\(729\) 1101.05 + 1907.07i 0.0559391 + 0.0968894i
\(730\) −5910.50 + 10237.3i −0.299668 + 0.519040i
\(731\) −37232.4 + 31241.7i −1.88384 + 1.58073i
\(732\) 11546.0 9688.24i 0.582995 0.489191i
\(733\) 13147.5 22772.2i 0.662503 1.14749i −0.317453 0.948274i \(-0.602828\pi\)
0.979956 0.199214i \(-0.0638389\pi\)
\(734\) −2967.60 5140.04i −0.149232 0.258477i
\(735\) −18734.1 6818.65i −0.940159 0.342190i
\(736\) −553.338 + 3138.13i −0.0277124 + 0.157165i
\(737\) −2680.25 15200.5i −0.133960 0.759724i
\(738\) 7656.21 2786.63i 0.381882 0.138994i
\(739\) 3115.29 + 2614.04i 0.155071 + 0.130120i 0.717022 0.697050i \(-0.245505\pi\)
−0.561951 + 0.827171i \(0.689949\pi\)
\(740\) 4154.88 0.206400
\(741\) 12112.2 9028.05i 0.600475 0.447576i
\(742\) 10612.9 0.525081
\(743\) 12038.1 + 10101.2i 0.594396 + 0.498757i 0.889639 0.456665i \(-0.150956\pi\)
−0.295243 + 0.955422i \(0.595401\pi\)
\(744\) 153.484 55.8637i 0.00756319 0.00275277i
\(745\) 3705.58 + 21015.4i 0.182231 + 1.03348i
\(746\) −1903.64 + 10796.1i −0.0934281 + 0.529857i
\(747\) 5831.85 + 2122.62i 0.285644 + 0.103966i
\(748\) 12143.4 + 21033.0i 0.593592 + 1.02813i
\(749\) −2289.72 + 3965.91i −0.111702 + 0.193473i
\(750\) 13864.6 11633.8i 0.675020 0.566409i
\(751\) −25213.6 + 21156.7i −1.22511 + 1.02799i −0.226568 + 0.973995i \(0.572751\pi\)
−0.998541 + 0.0539934i \(0.982805\pi\)
\(752\) −4894.44 + 8477.41i −0.237343 + 0.411090i
\(753\) 3931.11 + 6808.88i 0.190249 + 0.329521i
\(754\) −7271.33 2646.55i −0.351202 0.127827i
\(755\) 2645.40 15002.8i 0.127518 0.723189i
\(756\) 426.740 + 2420.17i 0.0205296 + 0.116429i
\(757\) −22119.0 + 8050.65i −1.06199 + 0.386533i −0.813176 0.582018i \(-0.802263\pi\)
−0.248815 + 0.968551i \(0.580041\pi\)
\(758\) −14271.6 11975.3i −0.683861 0.573828i
\(759\) 33879.0 1.62020
\(760\) 7507.43 + 432.907i 0.358320 + 0.0206621i
\(761\) −32174.2 −1.53260 −0.766302 0.642480i \(-0.777905\pi\)
−0.766302 + 0.642480i \(0.777905\pi\)
\(762\) 6774.19 + 5684.22i 0.322051 + 0.270233i
\(763\) 6712.04 2442.98i 0.318469 0.115913i
\(764\) −1693.91 9606.64i −0.0802141 0.454916i
\(765\) −3770.32 + 21382.6i −0.178191 + 1.01057i
\(766\) −6158.06 2241.35i −0.290469 0.105722i
\(767\) −7932.52 13739.5i −0.373438 0.646813i
\(768\) −842.194 + 1458.72i −0.0395704 + 0.0685379i
\(769\) −7929.88 + 6653.96i −0.371858 + 0.312026i −0.809496