Properties

Label 43.4.e.a.11.10
Level $43$
Weight $4$
Character 43.11
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.10
Character \(\chi\) \(=\) 43.11
Dual form 43.4.e.a.4.10

$q$-expansion

\(f(q)\) \(=\) \(q+(2.96047 + 3.71232i) q^{2} +(4.10366 - 5.14583i) q^{3} +(-3.23672 + 14.1810i) q^{4} +(-6.52318 + 3.14140i) q^{5} +31.2517 q^{6} +6.49418 q^{7} +(-28.0025 + 13.4853i) q^{8} +(-3.63147 - 15.9105i) q^{9} +O(q^{10})\) \(q+(2.96047 + 3.71232i) q^{2} +(4.10366 - 5.14583i) q^{3} +(-3.23672 + 14.1810i) q^{4} +(-6.52318 + 3.14140i) q^{5} +31.2517 q^{6} +6.49418 q^{7} +(-28.0025 + 13.4853i) q^{8} +(-3.63147 - 15.9105i) q^{9} +(-30.9735 - 14.9161i) q^{10} +(-14.2157 - 62.2832i) q^{11} +(59.6906 + 74.8497i) q^{12} +(-60.9667 + 29.3600i) q^{13} +(19.2258 + 24.1084i) q^{14} +(-10.6038 + 46.4584i) q^{15} +(-28.1205 - 13.5421i) q^{16} +(3.84960 + 1.85387i) q^{17} +(48.3139 - 60.5837i) q^{18} +(25.0832 - 109.897i) q^{19} +(-23.4344 - 102.673i) q^{20} +(26.6499 - 33.4180i) q^{21} +(189.129 - 237.161i) q^{22} +(21.8573 + 95.7630i) q^{23} +(-45.5198 + 199.435i) q^{24} +(-45.2528 + 56.7452i) q^{25} +(-289.484 - 139.408i) q^{26} +(63.3341 + 30.5001i) q^{27} +(-21.0198 + 92.0939i) q^{28} +(179.507 + 225.095i) q^{29} +(-203.861 + 98.1741i) q^{30} +(-56.8270 - 71.2588i) q^{31} +(22.3509 + 97.9258i) q^{32} +(-378.835 - 182.437i) q^{33} +(4.51448 + 19.7792i) q^{34} +(-42.3627 + 20.4008i) q^{35} +237.381 q^{36} -207.629 q^{37} +(482.229 - 232.229i) q^{38} +(-99.1052 + 434.208i) q^{39} +(140.302 - 175.934i) q^{40} +(151.751 + 190.290i) q^{41} +202.954 q^{42} +(101.435 - 263.093i) q^{43} +929.249 q^{44} +(73.6698 + 92.3791i) q^{45} +(-290.795 + 364.645i) q^{46} +(16.8156 - 73.6740i) q^{47} +(-185.083 + 89.1312i) q^{48} -300.826 q^{49} -344.626 q^{50} +(25.3371 - 12.2017i) q^{51} +(-219.022 - 959.599i) q^{52} +(-130.471 - 62.8314i) q^{53} +(74.2729 + 325.411i) q^{54} +(288.388 + 361.627i) q^{55} +(-181.853 + 87.5758i) q^{56} +(-462.576 - 580.052i) q^{57} +(-304.197 + 1332.77i) q^{58} +(162.603 + 78.3053i) q^{59} +(-624.505 - 300.746i) q^{60} +(353.168 - 442.859i) q^{61} +(96.3003 - 421.919i) q^{62} +(-23.5834 - 103.326i) q^{63} +(-453.042 + 568.097i) q^{64} +(305.465 - 383.041i) q^{65} +(-444.266 - 1946.46i) q^{66} +(-15.1178 + 66.2354i) q^{67} +(-38.7497 + 48.5906i) q^{68} +(582.475 + 280.505i) q^{69} +(-201.148 - 96.8676i) q^{70} +(18.0598 - 79.1252i) q^{71} +(316.248 + 396.562i) q^{72} +(533.721 - 257.027i) q^{73} +(-614.681 - 770.785i) q^{74} +(106.299 + 465.726i) q^{75} +(1477.26 + 711.409i) q^{76} +(-92.3194 - 404.478i) q^{77} +(-1905.32 + 917.552i) q^{78} -646.997 q^{79} +225.976 q^{80} +(813.845 - 391.927i) q^{81} +(-257.161 + 1126.70i) q^{82} +(-329.635 + 413.349i) q^{83} +(387.641 + 486.087i) q^{84} -30.9353 q^{85} +(1276.98 - 402.321i) q^{86} +1894.94 q^{87} +(1237.98 + 1552.38i) q^{88} +(307.576 - 385.689i) q^{89} +(-124.843 + 546.971i) q^{90} +(-395.929 + 190.669i) q^{91} -1428.76 q^{92} -599.884 q^{93} +(323.283 - 155.685i) q^{94} +(181.607 + 795.671i) q^{95} +(595.631 + 286.841i) q^{96} +(-47.0477 - 206.130i) q^{97} +(-890.586 - 1116.76i) q^{98} +(-939.332 + 452.358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.96047 + 3.71232i 1.04669 + 1.31250i 0.948308 + 0.317353i \(0.102794\pi\)
0.0983775 + 0.995149i \(0.468635\pi\)
\(3\) 4.10366 5.14583i 0.789751 0.990316i −0.210169 0.977665i \(-0.567402\pi\)
0.999920 0.0126510i \(-0.00402704\pi\)
\(4\) −3.23672 + 14.1810i −0.404590 + 1.77262i
\(5\) −6.52318 + 3.14140i −0.583451 + 0.280975i −0.702235 0.711945i \(-0.747814\pi\)
0.118785 + 0.992920i \(0.462100\pi\)
\(6\) 31.2517 2.12641
\(7\) 6.49418 0.350653 0.175326 0.984510i \(-0.443902\pi\)
0.175326 + 0.984510i \(0.443902\pi\)
\(8\) −28.0025 + 13.4853i −1.23755 + 0.595971i
\(9\) −3.63147 15.9105i −0.134499 0.589277i
\(10\) −30.9735 14.9161i −0.979469 0.471687i
\(11\) −14.2157 62.2832i −0.389655 1.70719i −0.665848 0.746087i \(-0.731930\pi\)
0.276194 0.961102i \(-0.410927\pi\)
\(12\) 59.6906 + 74.8497i 1.43593 + 1.80060i
\(13\) −60.9667 + 29.3600i −1.30070 + 0.626385i −0.950627 0.310336i \(-0.899558\pi\)
−0.350076 + 0.936721i \(0.613844\pi\)
\(14\) 19.2258 + 24.1084i 0.367023 + 0.460232i
\(15\) −10.6038 + 46.4584i −0.182526 + 0.799701i
\(16\) −28.1205 13.5421i −0.439384 0.211596i
\(17\) 3.84960 + 1.85387i 0.0549214 + 0.0264488i 0.461143 0.887326i \(-0.347440\pi\)
−0.406221 + 0.913775i \(0.633154\pi\)
\(18\) 48.3139 60.5837i 0.632650 0.793318i
\(19\) 25.0832 109.897i 0.302867 1.32695i −0.562910 0.826518i \(-0.690318\pi\)
0.865777 0.500429i \(-0.166825\pi\)
\(20\) −23.4344 102.673i −0.262005 1.14792i
\(21\) 26.6499 33.4180i 0.276928 0.347257i
\(22\) 189.129 237.161i 1.83284 2.29831i
\(23\) 21.8573 + 95.7630i 0.198155 + 0.868172i 0.972034 + 0.234839i \(0.0754564\pi\)
−0.773879 + 0.633333i \(0.781686\pi\)
\(24\) −45.5198 + 199.435i −0.387154 + 1.69623i
\(25\) −45.2528 + 56.7452i −0.362022 + 0.453961i
\(26\) −289.484 139.408i −2.18356 1.05155i
\(27\) 63.3341 + 30.5001i 0.451431 + 0.217398i
\(28\) −21.0198 + 92.0939i −0.141871 + 0.621575i
\(29\) 179.507 + 225.095i 1.14944 + 1.44135i 0.877852 + 0.478933i \(0.158976\pi\)
0.271584 + 0.962415i \(0.412452\pi\)
\(30\) −203.861 + 98.1741i −1.24066 + 0.597468i
\(31\) −56.8270 71.2588i −0.329239 0.412853i 0.589468 0.807792i \(-0.299337\pi\)
−0.918708 + 0.394938i \(0.870766\pi\)
\(32\) 22.3509 + 97.9258i 0.123473 + 0.540969i
\(33\) −378.835 182.437i −1.99839 0.962372i
\(34\) 4.51448 + 19.7792i 0.0227714 + 0.0997680i
\(35\) −42.3627 + 20.4008i −0.204588 + 0.0985246i
\(36\) 237.381 1.09898
\(37\) −207.629 −0.922542 −0.461271 0.887259i \(-0.652606\pi\)
−0.461271 + 0.887259i \(0.652606\pi\)
\(38\) 482.229 232.229i 2.05863 0.991383i
\(39\) −99.1052 + 434.208i −0.406911 + 1.78279i
\(40\) 140.302 175.934i 0.554594 0.695439i
\(41\) 151.751 + 190.290i 0.578039 + 0.724837i 0.981777 0.190037i \(-0.0608608\pi\)
−0.403738 + 0.914874i \(0.632289\pi\)
\(42\) 202.954 0.745632
\(43\) 101.435 263.093i 0.359737 0.933054i
\(44\) 929.249 3.18385
\(45\) 73.6698 + 92.3791i 0.244046 + 0.306023i
\(46\) −290.795 + 364.645i −0.932072 + 1.16878i
\(47\) 16.8156 73.6740i 0.0521874 0.228648i −0.942108 0.335310i \(-0.891159\pi\)
0.994295 + 0.106662i \(0.0340162\pi\)
\(48\) −185.083 + 89.1312i −0.556550 + 0.268020i
\(49\) −300.826 −0.877043
\(50\) −344.626 −0.974748
\(51\) 25.3371 12.2017i 0.0695669 0.0335016i
\(52\) −219.022 959.599i −0.584095 2.55909i
\(53\) −130.471 62.8314i −0.338142 0.162841i 0.257105 0.966384i \(-0.417231\pi\)
−0.595247 + 0.803543i \(0.702946\pi\)
\(54\) 74.2729 + 325.411i 0.187171 + 0.820052i
\(55\) 288.388 + 361.627i 0.707022 + 0.886577i
\(56\) −181.853 + 87.5758i −0.433949 + 0.208979i
\(57\) −462.576 580.052i −1.07491 1.34789i
\(58\) −304.197 + 1332.77i −0.688673 + 3.01727i
\(59\) 162.603 + 78.3053i 0.358798 + 0.172788i 0.604594 0.796534i \(-0.293335\pi\)
−0.245797 + 0.969321i \(0.579050\pi\)
\(60\) −624.505 300.746i −1.34372 0.647102i
\(61\) 353.168 442.859i 0.741287 0.929545i −0.258043 0.966133i \(-0.583078\pi\)
0.999330 + 0.0365884i \(0.0116490\pi\)
\(62\) 96.3003 421.919i 0.197260 0.864255i
\(63\) −23.5834 103.326i −0.0471623 0.206632i
\(64\) −453.042 + 568.097i −0.884848 + 1.10956i
\(65\) 305.465 383.041i 0.582897 0.730930i
\(66\) −444.266 1946.46i −0.828566 3.63019i
\(67\) −15.1178 + 66.2354i −0.0275661 + 0.120775i −0.986839 0.161706i \(-0.948300\pi\)
0.959273 + 0.282481i \(0.0911575\pi\)
\(68\) −38.7497 + 48.5906i −0.0691044 + 0.0866541i
\(69\) 582.475 + 280.505i 1.01626 + 0.489404i
\(70\) −201.148 96.8676i −0.343453 0.165398i
\(71\) 18.0598 79.1252i 0.0301874 0.132260i −0.957589 0.288138i \(-0.906964\pi\)
0.987776 + 0.155879i \(0.0498209\pi\)
\(72\) 316.248 + 396.562i 0.517641 + 0.649101i
\(73\) 533.721 257.027i 0.855717 0.412092i 0.0460208 0.998940i \(-0.485346\pi\)
0.809697 + 0.586849i \(0.199632\pi\)
\(74\) −614.681 770.785i −0.965611 1.21084i
\(75\) 106.299 + 465.726i 0.163658 + 0.717033i
\(76\) 1477.26 + 711.409i 2.22964 + 1.07374i
\(77\) −92.3194 404.478i −0.136633 0.598630i
\(78\) −1905.32 + 917.552i −2.76583 + 1.33195i
\(79\) −646.997 −0.921429 −0.460715 0.887548i \(-0.652407\pi\)
−0.460715 + 0.887548i \(0.652407\pi\)
\(80\) 225.976 0.315812
\(81\) 813.845 391.927i 1.11639 0.537623i
\(82\) −257.161 + 1126.70i −0.346326 + 1.51735i
\(83\) −329.635 + 413.349i −0.435929 + 0.546638i −0.950465 0.310831i \(-0.899393\pi\)
0.514536 + 0.857469i \(0.327964\pi\)
\(84\) 387.641 + 486.087i 0.503514 + 0.631386i
\(85\) −30.9353 −0.0394754
\(86\) 1276.98 402.321i 1.60117 0.504458i
\(87\) 1894.94 2.33516
\(88\) 1237.98 + 1552.38i 1.49965 + 1.88050i
\(89\) 307.576 385.689i 0.366326 0.459359i −0.564171 0.825658i \(-0.690804\pi\)
0.930497 + 0.366300i \(0.119375\pi\)
\(90\) −124.843 + 546.971i −0.146217 + 0.640620i
\(91\) −395.929 + 190.669i −0.456095 + 0.219644i
\(92\) −1428.76 −1.61911
\(93\) −599.884 −0.668872
\(94\) 323.283 155.685i 0.354725 0.170826i
\(95\) 181.607 + 795.671i 0.196131 + 0.859306i
\(96\) 595.631 + 286.841i 0.633243 + 0.304954i
\(97\) −47.0477 206.130i −0.0492471 0.215766i 0.944317 0.329037i \(-0.106724\pi\)
−0.993564 + 0.113271i \(0.963867\pi\)
\(98\) −890.586 1116.76i −0.917988 1.15112i
\(99\) −939.332 + 452.358i −0.953600 + 0.459230i
\(100\) −658.233 825.398i −0.658233 0.825398i
\(101\) 371.473 1627.53i 0.365970 1.60342i −0.371764 0.928327i \(-0.621247\pi\)
0.737734 0.675092i \(-0.235896\pi\)
\(102\) 120.307 + 57.9366i 0.116786 + 0.0562410i
\(103\) −1098.11 528.824i −1.05049 0.505889i −0.172719 0.984971i \(-0.555255\pi\)
−0.877770 + 0.479082i \(0.840969\pi\)
\(104\) 1311.29 1644.31i 1.23637 1.55036i
\(105\) −68.8631 + 301.709i −0.0640034 + 0.280417i
\(106\) −153.005 670.359i −0.140200 0.614255i
\(107\) 22.2929 27.9545i 0.0201415 0.0252566i −0.771659 0.636037i \(-0.780573\pi\)
0.791800 + 0.610780i \(0.209144\pi\)
\(108\) −637.516 + 799.420i −0.568009 + 0.712261i
\(109\) 57.4196 + 251.572i 0.0504568 + 0.221066i 0.993870 0.110553i \(-0.0352623\pi\)
−0.943413 + 0.331619i \(0.892405\pi\)
\(110\) −488.709 + 2141.17i −0.423605 + 1.85593i
\(111\) −852.041 + 1068.43i −0.728578 + 0.913608i
\(112\) −182.620 87.9451i −0.154071 0.0741967i
\(113\) 1135.00 + 546.585i 0.944880 + 0.455030i 0.841888 0.539652i \(-0.181444\pi\)
0.102992 + 0.994682i \(0.467158\pi\)
\(114\) 783.893 3434.46i 0.644020 2.82164i
\(115\) −443.408 556.016i −0.359548 0.450859i
\(116\) −3773.08 + 1817.02i −3.02002 + 1.45436i
\(117\) 688.531 + 863.391i 0.544058 + 0.682227i
\(118\) 190.687 + 835.453i 0.148764 + 0.651777i
\(119\) 25.0000 + 12.0393i 0.0192583 + 0.00927433i
\(120\) −329.571 1443.95i −0.250713 1.09845i
\(121\) −2477.92 + 1193.30i −1.86169 + 0.896545i
\(122\) 2689.58 1.99592
\(123\) 1601.94 1.17432
\(124\) 1194.45 575.218i 0.865041 0.416582i
\(125\) 318.319 1394.65i 0.227771 0.997928i
\(126\) 313.759 393.441i 0.221840 0.278179i
\(127\) 1447.77 + 1815.44i 1.01156 + 1.26846i 0.962961 + 0.269641i \(0.0869049\pi\)
0.0486011 + 0.998818i \(0.484524\pi\)
\(128\) −2646.62 −1.82758
\(129\) −937.577 1601.61i −0.639915 1.09313i
\(130\) 2326.29 1.56946
\(131\) −192.824 241.793i −0.128604 0.161264i 0.713361 0.700797i \(-0.247172\pi\)
−0.841964 + 0.539533i \(0.818601\pi\)
\(132\) 3813.33 4781.76i 2.51445 3.15302i
\(133\) 162.895 713.688i 0.106201 0.465298i
\(134\) −290.642 + 139.966i −0.187371 + 0.0902330i
\(135\) −508.952 −0.324471
\(136\) −132.798 −0.0837305
\(137\) −2359.35 + 1136.20i −1.47134 + 0.708559i −0.986151 0.165852i \(-0.946963\pi\)
−0.485186 + 0.874411i \(0.661248\pi\)
\(138\) 683.078 + 2992.76i 0.421358 + 1.84609i
\(139\) −2317.77 1116.18i −1.41432 0.681100i −0.438309 0.898825i \(-0.644422\pi\)
−0.976010 + 0.217724i \(0.930137\pi\)
\(140\) −152.187 666.776i −0.0918727 0.402521i
\(141\) −310.108 388.864i −0.185219 0.232257i
\(142\) 347.203 167.204i 0.205188 0.0988132i
\(143\) 2695.32 + 3379.83i 1.57618 + 1.97647i
\(144\) −113.343 + 496.589i −0.0655922 + 0.287378i
\(145\) −1878.07 904.430i −1.07562 0.517992i
\(146\) 2534.23 + 1220.42i 1.43654 + 0.691800i
\(147\) −1234.49 + 1548.00i −0.692645 + 0.868549i
\(148\) 672.038 2944.39i 0.373251 1.63532i
\(149\) 182.515 + 799.651i 0.100350 + 0.439664i 0.999995 + 0.00304180i \(0.000968237\pi\)
−0.899645 + 0.436622i \(0.856175\pi\)
\(150\) −1414.23 + 1773.39i −0.769808 + 0.965309i
\(151\) 10.0773 12.6366i 0.00543100 0.00681026i −0.779109 0.626889i \(-0.784328\pi\)
0.784540 + 0.620079i \(0.212899\pi\)
\(152\) 779.595 + 3415.63i 0.416010 + 1.82266i
\(153\) 15.5163 67.9812i 0.00819880 0.0359213i
\(154\) 1228.24 1540.16i 0.642691 0.805909i
\(155\) 594.544 + 286.317i 0.308096 + 0.148371i
\(156\) −5836.73 2810.82i −2.99559 1.44260i
\(157\) 123.407 540.683i 0.0627324 0.274849i −0.933828 0.357723i \(-0.883553\pi\)
0.996560 + 0.0828749i \(0.0264102\pi\)
\(158\) −1915.42 2401.86i −0.964446 1.20938i
\(159\) −858.728 + 413.541i −0.428312 + 0.206264i
\(160\) −453.423 568.574i −0.224039 0.280936i
\(161\) 141.945 + 621.902i 0.0694835 + 0.304427i
\(162\) 3864.32 + 1860.96i 1.87413 + 0.902536i
\(163\) −707.572 3100.08i −0.340008 1.48967i −0.799053 0.601261i \(-0.794665\pi\)
0.459045 0.888413i \(-0.348192\pi\)
\(164\) −3189.68 + 1536.07i −1.51873 + 0.731383i
\(165\) 3044.32 1.43636
\(166\) −2510.36 −1.17374
\(167\) −397.131 + 191.248i −0.184017 + 0.0886181i −0.523624 0.851949i \(-0.675420\pi\)
0.339607 + 0.940568i \(0.389706\pi\)
\(168\) −295.614 + 1295.17i −0.135756 + 0.594788i
\(169\) 1485.12 1862.29i 0.675978 0.847650i
\(170\) −91.5832 114.842i −0.0413183 0.0518115i
\(171\) −1839.60 −0.822675
\(172\) 3402.60 + 2290.01i 1.50841 + 1.01518i
\(173\) 282.197 0.124018 0.0620088 0.998076i \(-0.480249\pi\)
0.0620088 + 0.998076i \(0.480249\pi\)
\(174\) 5609.91 + 7034.61i 2.44417 + 3.06490i
\(175\) −293.880 + 368.513i −0.126944 + 0.159183i
\(176\) −443.693 + 1943.95i −0.190026 + 0.832560i
\(177\) 1070.21 515.387i 0.454475 0.218864i
\(178\) 2342.37 0.986337
\(179\) 2784.23 1.16259 0.581294 0.813694i \(-0.302547\pi\)
0.581294 + 0.813694i \(0.302547\pi\)
\(180\) −1548.48 + 745.706i −0.641203 + 0.308787i
\(181\) 552.827 + 2422.09i 0.227024 + 0.994657i 0.952052 + 0.305937i \(0.0989698\pi\)
−0.725028 + 0.688720i \(0.758173\pi\)
\(182\) −1879.96 905.342i −0.765670 0.368727i
\(183\) −829.594 3634.69i −0.335111 1.46822i
\(184\) −1903.45 2386.85i −0.762631 0.956309i
\(185\) 1354.40 652.246i 0.538257 0.259211i
\(186\) −1775.94 2226.96i −0.700099 0.877896i
\(187\) 60.7399 266.119i 0.0237526 0.104067i
\(188\) 990.343 + 476.924i 0.384192 + 0.185017i
\(189\) 411.303 + 198.073i 0.158296 + 0.0762312i
\(190\) −2416.14 + 3029.74i −0.922553 + 1.15685i
\(191\) 6.90851 30.2681i 0.00261718 0.0114666i −0.973602 0.228250i \(-0.926700\pi\)
0.976220 + 0.216784i \(0.0695567\pi\)
\(192\) 1064.20 + 4662.56i 0.400010 + 1.75256i
\(193\) 739.632 927.470i 0.275854 0.345910i −0.624534 0.780998i \(-0.714711\pi\)
0.900388 + 0.435087i \(0.143282\pi\)
\(194\) 625.934 784.897i 0.231647 0.290476i
\(195\) −717.540 3143.75i −0.263508 1.15450i
\(196\) 973.688 4266.01i 0.354843 1.55467i
\(197\) −1972.52 + 2473.46i −0.713381 + 0.894552i −0.997943 0.0641061i \(-0.979580\pi\)
0.284562 + 0.958658i \(0.408152\pi\)
\(198\) −4460.16 2147.90i −1.60086 0.770933i
\(199\) 1597.16 + 769.151i 0.568943 + 0.273988i 0.696160 0.717886i \(-0.254890\pi\)
−0.127217 + 0.991875i \(0.540605\pi\)
\(200\) 501.965 2199.25i 0.177471 0.777553i
\(201\) 278.798 + 349.601i 0.0978352 + 0.122681i
\(202\) 7141.64 3439.23i 2.48755 1.19794i
\(203\) 1165.75 + 1461.81i 0.403053 + 0.505412i
\(204\) 91.0234 + 398.799i 0.0312398 + 0.136870i
\(205\) −1587.68 764.585i −0.540918 0.260492i
\(206\) −1287.78 5642.11i −0.435551 1.90827i
\(207\) 1444.26 695.520i 0.484943 0.233536i
\(208\) 2112.02 0.704048
\(209\) −7201.28 −2.38336
\(210\) −1323.91 + 637.560i −0.435039 + 0.209504i
\(211\) −449.690 + 1970.22i −0.146720 + 0.642823i 0.847063 + 0.531492i \(0.178368\pi\)
−0.993783 + 0.111331i \(0.964489\pi\)
\(212\) 1313.31 1646.84i 0.425464 0.533515i
\(213\) −333.054 417.636i −0.107138 0.134347i
\(214\) 169.773 0.0542312
\(215\) 164.801 + 2034.85i 0.0522759 + 0.645468i
\(216\) −2184.81 −0.688230
\(217\) −369.044 462.767i −0.115449 0.144768i
\(218\) −763.924 + 957.930i −0.237337 + 0.297611i
\(219\) 867.597 3801.19i 0.267702 1.17288i
\(220\) −6061.66 + 2919.14i −1.85762 + 0.894584i
\(221\) −289.127 −0.0880035
\(222\) −6488.78 −1.96170
\(223\) 3866.93 1862.22i 1.16121 0.559208i 0.248825 0.968548i \(-0.419956\pi\)
0.912381 + 0.409341i \(0.134241\pi\)
\(224\) 145.151 + 635.948i 0.0432960 + 0.189692i
\(225\) 1067.18 + 513.926i 0.316201 + 0.152274i
\(226\) 1331.03 + 5831.62i 0.391764 + 1.71643i
\(227\) −355.032 445.196i −0.103808 0.130171i 0.727214 0.686411i \(-0.240815\pi\)
−0.831021 + 0.556240i \(0.812243\pi\)
\(228\) 9722.95 4682.33i 2.82420 1.36006i
\(229\) 1030.54 + 1292.26i 0.297380 + 0.372903i 0.907964 0.419049i \(-0.137636\pi\)
−0.610583 + 0.791952i \(0.709065\pi\)
\(230\) 751.410 3292.14i 0.215420 0.943815i
\(231\) −2460.22 1184.78i −0.700740 0.337458i
\(232\) −8062.12 3882.51i −2.28148 1.09870i
\(233\) −3885.23 + 4871.93i −1.09240 + 1.36983i −0.169172 + 0.985586i \(0.554109\pi\)
−0.923231 + 0.384245i \(0.874462\pi\)
\(234\) −1166.80 + 5112.09i −0.325967 + 1.42815i
\(235\) 121.748 + 533.413i 0.0337956 + 0.148068i
\(236\) −1636.75 + 2052.41i −0.451454 + 0.566105i
\(237\) −2655.06 + 3329.34i −0.727699 + 0.912506i
\(238\) 29.3179 + 128.450i 0.00798485 + 0.0349839i
\(239\) 1025.11 4491.32i 0.277444 1.21556i −0.623569 0.781768i \(-0.714318\pi\)
0.901013 0.433793i \(-0.142825\pi\)
\(240\) 927.332 1162.84i 0.249413 0.312753i
\(241\) −2609.43 1256.64i −0.697463 0.335880i 0.0513328 0.998682i \(-0.483653\pi\)
−0.748795 + 0.662801i \(0.769367\pi\)
\(242\) −11765.7 5666.07i −3.12532 1.50508i
\(243\) 900.615 3945.85i 0.237755 1.04167i
\(244\) 5137.07 + 6441.68i 1.34782 + 1.69011i
\(245\) 1962.34 945.012i 0.511711 0.246427i
\(246\) 4742.49 + 5946.90i 1.22915 + 1.54130i
\(247\) 1697.33 + 7436.48i 0.437240 + 1.91568i
\(248\) 2552.24 + 1229.09i 0.653498 + 0.314708i
\(249\) 774.314 + 3392.49i 0.197069 + 0.863415i
\(250\) 6119.75 2947.11i 1.54819 0.745567i
\(251\) 5056.33 1.27153 0.635763 0.771885i \(-0.280686\pi\)
0.635763 + 0.771885i \(0.280686\pi\)
\(252\) 1541.59 0.385362
\(253\) 5653.70 2722.68i 1.40492 0.676575i
\(254\) −2453.42 + 10749.1i −0.606067 + 2.65535i
\(255\) −126.948 + 159.188i −0.0311757 + 0.0390931i
\(256\) −4210.91 5280.32i −1.02805 1.28914i
\(257\) 4682.42 1.13650 0.568251 0.822855i \(-0.307620\pi\)
0.568251 + 0.822855i \(0.307620\pi\)
\(258\) 3170.02 8222.12i 0.764949 1.98406i
\(259\) −1348.38 −0.323492
\(260\) 4443.20 + 5571.60i 1.05983 + 1.32898i
\(261\) 2929.50 3673.47i 0.694756 0.871196i
\(262\) 326.763 1431.64i 0.0770516 0.337585i
\(263\) −579.227 + 278.941i −0.135805 + 0.0654001i −0.500552 0.865706i \(-0.666870\pi\)
0.364747 + 0.931107i \(0.381155\pi\)
\(264\) 13068.5 3.04664
\(265\) 1048.46 0.243043
\(266\) 3131.68 1508.14i 0.721863 0.347631i
\(267\) −722.499 3165.47i −0.165604 0.725557i
\(268\) −890.351 428.771i −0.202936 0.0977288i
\(269\) 121.024 + 530.240i 0.0274310 + 0.120183i 0.986790 0.162006i \(-0.0517965\pi\)
−0.959359 + 0.282189i \(0.908939\pi\)
\(270\) −1506.74 1889.39i −0.339619 0.425869i
\(271\) −5983.65 + 2881.57i −1.34126 + 0.645915i −0.960376 0.278709i \(-0.910094\pi\)
−0.380881 + 0.924624i \(0.624379\pi\)
\(272\) −83.1474 104.264i −0.0185351 0.0232423i
\(273\) −643.607 + 2819.83i −0.142685 + 0.625142i
\(274\) −11202.8 5394.96i −2.47001 1.18949i
\(275\) 4177.57 + 2011.81i 0.916062 + 0.441152i
\(276\) −5863.15 + 7352.16i −1.27870 + 1.60344i
\(277\) −895.845 + 3924.95i −0.194318 + 0.851363i 0.779927 + 0.625871i \(0.215256\pi\)
−0.974245 + 0.225492i \(0.927601\pi\)
\(278\) −2718.08 11908.7i −0.586402 2.56919i
\(279\) −927.397 + 1162.92i −0.199003 + 0.249542i
\(280\) 911.149 1142.55i 0.194470 0.243858i
\(281\) 819.224 + 3589.26i 0.173917 + 0.761982i 0.984361 + 0.176165i \(0.0563692\pi\)
−0.810443 + 0.585817i \(0.800774\pi\)
\(282\) 525.517 2302.44i 0.110972 0.486200i
\(283\) −3765.91 + 4722.30i −0.791024 + 0.991913i 0.208878 + 0.977942i \(0.433019\pi\)
−0.999902 + 0.0139713i \(0.995553\pi\)
\(284\) 1063.62 + 512.212i 0.222233 + 0.107022i
\(285\) 4839.64 + 2330.65i 1.00588 + 0.484406i
\(286\) −4567.56 + 20011.8i −0.944354 + 4.13749i
\(287\) 985.500 + 1235.78i 0.202691 + 0.254166i
\(288\) 1476.88 711.228i 0.302174 0.145519i
\(289\) −3051.82 3826.86i −0.621173 0.778926i
\(290\) −2202.44 9649.53i −0.445972 1.95393i
\(291\) −1253.78 603.787i −0.252569 0.121631i
\(292\) 1917.39 + 8400.62i 0.384269 + 1.68359i
\(293\) 2578.67 1241.82i 0.514155 0.247604i −0.158769 0.987316i \(-0.550753\pi\)
0.672924 + 0.739712i \(0.265038\pi\)
\(294\) −9401.33 −1.86495
\(295\) −1306.67 −0.257890
\(296\) 5814.14 2799.94i 1.14169 0.549808i
\(297\) 999.302 4378.23i 0.195237 0.855389i
\(298\) −2428.23 + 3044.90i −0.472025 + 0.591900i
\(299\) −4144.17 5196.63i −0.801551 1.00511i
\(300\) −6948.52 −1.33724
\(301\) 658.737 1708.57i 0.126143 0.327178i
\(302\) 76.7446 0.0146230
\(303\) −6850.60 8590.38i −1.29887 1.62873i
\(304\) −2193.59 + 2750.67i −0.413851 + 0.518953i
\(305\) −912.583 + 3998.29i −0.171326 + 0.750627i
\(306\) 298.303 143.655i 0.0557283 0.0268373i
\(307\) 2900.09 0.539143 0.269572 0.962980i \(-0.413118\pi\)
0.269572 + 0.962980i \(0.413118\pi\)
\(308\) 6034.71 1.11643
\(309\) −7227.53 + 3480.59i −1.33061 + 0.640790i
\(310\) 697.231 + 3054.77i 0.127742 + 0.559675i
\(311\) −4262.33 2052.63i −0.777152 0.374257i 0.00288021 0.999996i \(-0.499083\pi\)
−0.780032 + 0.625739i \(0.784797\pi\)
\(312\) −3080.23 13495.4i −0.558922 2.44880i
\(313\) 2068.92 + 2594.35i 0.373618 + 0.468502i 0.932722 0.360595i \(-0.117426\pi\)
−0.559105 + 0.829097i \(0.688855\pi\)
\(314\) 2372.53 1142.55i 0.426400 0.205343i
\(315\) 478.425 + 599.926i 0.0855752 + 0.107308i
\(316\) 2094.15 9175.07i 0.372801 1.63335i
\(317\) 3016.32 + 1452.58i 0.534427 + 0.257366i 0.681575 0.731748i \(-0.261295\pi\)
−0.147149 + 0.989114i \(0.547010\pi\)
\(318\) −4077.44 1963.59i −0.719029 0.346266i
\(319\) 11467.8 14380.2i 2.01277 2.52393i
\(320\) 1170.66 5128.98i 0.204505 0.895996i
\(321\) −52.3662 229.431i −0.00910529 0.0398929i
\(322\) −1888.47 + 2368.07i −0.326834 + 0.409836i
\(323\) 300.294 376.557i 0.0517300 0.0648674i
\(324\) 2923.73 + 12809.7i 0.501325 + 2.19645i
\(325\) 1092.87 4788.19i 0.186528 0.817234i
\(326\) 9413.72 11804.4i 1.59932 2.00548i
\(327\) 1530.18 + 736.894i 0.258773 + 0.124619i
\(328\) −6815.53 3282.19i −1.14733 0.552526i
\(329\) 109.204 478.452i 0.0182997 0.0801760i
\(330\) 9012.62 + 11301.5i 1.50342 + 1.88523i
\(331\) −4573.96 + 2202.70i −0.759539 + 0.365775i −0.773225 0.634132i \(-0.781358\pi\)
0.0136861 + 0.999906i \(0.495643\pi\)
\(332\) −4794.76 6012.44i −0.792611 0.993902i
\(333\) 753.999 + 3303.48i 0.124081 + 0.543633i
\(334\) −1885.67 908.090i −0.308920 0.148768i
\(335\) −109.455 479.556i −0.0178513 0.0782117i
\(336\) −1201.96 + 578.834i −0.195156 + 0.0939821i
\(337\) 9191.45 1.48573 0.742863 0.669443i \(-0.233467\pi\)
0.742863 + 0.669443i \(0.233467\pi\)
\(338\) 11310.1 1.82008
\(339\) 7470.28 3597.50i 1.19684 0.576369i
\(340\) 100.129 438.694i 0.0159713 0.0699750i
\(341\) −3630.38 + 4552.36i −0.576529 + 0.722944i
\(342\) −5446.08 6829.16i −0.861082 1.07976i
\(343\) −4181.12 −0.658190
\(344\) 707.452 + 8735.14i 0.110882 + 1.36909i
\(345\) −4680.77 −0.730446
\(346\) 835.437 + 1047.60i 0.129807 + 0.162773i
\(347\) −5419.09 + 6795.33i −0.838364 + 1.05127i 0.159580 + 0.987185i \(0.448986\pi\)
−0.997944 + 0.0640899i \(0.979586\pi\)
\(348\) −6133.38 + 26872.1i −0.944781 + 4.13936i
\(349\) 691.858 333.181i 0.106115 0.0511025i −0.380073 0.924956i \(-0.624101\pi\)
0.486188 + 0.873854i \(0.338387\pi\)
\(350\) −2238.06 −0.341798
\(351\) −4756.76 −0.723353
\(352\) 5781.39 2784.17i 0.875424 0.421582i
\(353\) −539.286 2362.77i −0.0813125 0.356253i 0.917861 0.396902i \(-0.129915\pi\)
−0.999174 + 0.0406487i \(0.987058\pi\)
\(354\) 5081.62 + 2447.18i 0.762952 + 0.367418i
\(355\) 130.756 + 572.881i 0.0195488 + 0.0856489i
\(356\) 4473.91 + 5610.10i 0.666058 + 0.835210i
\(357\) 164.544 79.2402i 0.0243938 0.0117474i
\(358\) 8242.64 + 10335.9i 1.21686 + 1.52590i
\(359\) 2880.00 12618.1i 0.423400 1.85504i −0.0886257 0.996065i \(-0.528248\pi\)
0.512025 0.858970i \(-0.328895\pi\)
\(360\) −3308.70 1593.38i −0.484399 0.233274i
\(361\) −5268.34 2537.10i −0.768092 0.369894i
\(362\) −7354.95 + 9222.81i −1.06787 + 1.33906i
\(363\) −4028.01 + 17647.8i −0.582412 + 2.55171i
\(364\) −1422.37 6231.81i −0.204814 0.897350i
\(365\) −2674.14 + 3353.26i −0.383481 + 0.480870i
\(366\) 11037.1 13840.1i 1.57628 1.97660i
\(367\) 515.201 + 2257.24i 0.0732787 + 0.321055i 0.998261 0.0589563i \(-0.0187773\pi\)
−0.924982 + 0.380011i \(0.875920\pi\)
\(368\) 682.197 2988.90i 0.0966359 0.423389i
\(369\) 2476.53 3105.47i 0.349385 0.438115i
\(370\) 6431.01 + 3097.01i 0.903601 + 0.435151i
\(371\) −847.300 408.038i −0.118570 0.0571005i
\(372\) 1941.66 8506.96i 0.270619 1.18566i
\(373\) −3973.38 4982.47i −0.551566 0.691642i 0.425408 0.905002i \(-0.360131\pi\)
−0.976974 + 0.213360i \(0.931559\pi\)
\(374\) 1167.74 562.352i 0.161450 0.0777501i
\(375\) −5870.35 7361.18i −0.808382 1.01368i
\(376\) 522.636 + 2289.82i 0.0716832 + 0.314065i
\(377\) −17552.8 8452.96i −2.39791 1.15477i
\(378\) 482.341 + 2113.28i 0.0656322 + 0.287553i
\(379\) 3774.14 1817.53i 0.511515 0.246333i −0.160277 0.987072i \(-0.551239\pi\)
0.671793 + 0.740739i \(0.265525\pi\)
\(380\) −11871.2 −1.60258
\(381\) 15283.1 2.05506
\(382\) 132.817 63.9615i 0.0177893 0.00856689i
\(383\) −1843.99 + 8079.06i −0.246015 + 1.07786i 0.689420 + 0.724362i \(0.257865\pi\)
−0.935435 + 0.353499i \(0.884992\pi\)
\(384\) −10860.8 + 13619.1i −1.44333 + 1.80988i
\(385\) 1872.84 + 2348.47i 0.247919 + 0.310881i
\(386\) 5632.72 0.742741
\(387\) −4554.30 658.468i −0.598212 0.0864904i
\(388\) 3075.40 0.402397
\(389\) −2720.79 3411.76i −0.354626 0.444687i 0.572236 0.820089i \(-0.306076\pi\)
−0.926862 + 0.375402i \(0.877505\pi\)
\(390\) 9546.32 11970.7i 1.23948 1.55426i
\(391\) −93.3902 + 409.169i −0.0120791 + 0.0529222i
\(392\) 8423.86 4056.72i 1.08538 0.522692i
\(393\) −2035.51 −0.261267
\(394\) −15021.8 −1.92079
\(395\) 4220.48 2032.48i 0.537608 0.258899i
\(396\) −3374.54 14784.8i −0.428224 1.87617i
\(397\) 8653.48 + 4167.29i 1.09397 + 0.526827i 0.891757 0.452514i \(-0.149473\pi\)
0.202211 + 0.979342i \(0.435187\pi\)
\(398\) 1873.01 + 8206.21i 0.235894 + 1.03352i
\(399\) −3004.05 3766.96i −0.376919 0.472642i
\(400\) 2040.98 982.886i 0.255123 0.122861i
\(401\) 998.680 + 1252.31i 0.124368 + 0.155953i 0.840117 0.542405i \(-0.182486\pi\)
−0.715749 + 0.698358i \(0.753915\pi\)
\(402\) −472.457 + 2069.97i −0.0586170 + 0.256818i
\(403\) 5556.71 + 2675.97i 0.686848 + 0.330768i
\(404\) 21877.6 + 10535.7i 2.69419 + 1.29745i
\(405\) −4077.65 + 5113.22i −0.500297 + 0.627353i
\(406\) −1975.51 + 8655.28i −0.241485 + 1.05802i
\(407\) 2951.60 + 12931.8i 0.359473 + 1.57495i
\(408\) −544.959 + 683.357i −0.0661262 + 0.0829197i
\(409\) −7849.66 + 9843.16i −0.948999 + 1.19001i 0.0326797 + 0.999466i \(0.489596\pi\)
−0.981679 + 0.190542i \(0.938976\pi\)
\(410\) −1861.89 8157.49i −0.224274 0.982609i
\(411\) −3835.28 + 16803.4i −0.460293 + 2.01667i
\(412\) 11053.5 13860.7i 1.32177 1.65744i
\(413\) 1055.97 + 508.529i 0.125813 + 0.0605885i
\(414\) 6857.69 + 3302.49i 0.814099 + 0.392049i
\(415\) 851.773 3731.86i 0.100752 0.441421i
\(416\) −4237.77 5313.99i −0.499456 0.626298i
\(417\) −15255.0 + 7346.42i −1.79146 + 0.862723i
\(418\) −21319.2 26733.4i −2.49463 3.12817i
\(419\) −1538.50 6740.61i −0.179381 0.785920i −0.981916 0.189315i \(-0.939373\pi\)
0.802535 0.596605i \(-0.203484\pi\)
\(420\) −4055.64 1953.10i −0.471179 0.226908i
\(421\) 312.754 + 1370.26i 0.0362059 + 0.158629i 0.989799 0.142469i \(-0.0455041\pi\)
−0.953593 + 0.301098i \(0.902647\pi\)
\(422\) −8645.37 + 4163.39i −0.997276 + 0.480263i
\(423\) −1233.25 −0.141756
\(424\) 4500.80 0.515515
\(425\) −279.403 + 134.553i −0.0318895 + 0.0153572i
\(426\) 564.401 2472.80i 0.0641909 0.281239i
\(427\) 2293.54 2876.00i 0.259934 0.325947i
\(428\) 324.266 + 406.617i 0.0366215 + 0.0459219i
\(429\) 28452.7 3.20212
\(430\) −7066.11 + 6635.91i −0.792461 + 0.744214i
\(431\) 4118.99 0.460336 0.230168 0.973151i \(-0.426072\pi\)
0.230168 + 0.973151i \(0.426072\pi\)
\(432\) −1367.95 1715.36i −0.152351 0.191042i
\(433\) −2702.88 + 3389.30i −0.299982 + 0.376165i −0.908862 0.417097i \(-0.863048\pi\)
0.608880 + 0.793262i \(0.291619\pi\)
\(434\) 625.391 2740.02i 0.0691699 0.303053i
\(435\) −12361.0 + 5952.75i −1.36245 + 0.656121i
\(436\) −3753.38 −0.412281
\(437\) 11072.3 1.21203
\(438\) 16679.7 8032.53i 1.81961 0.876277i
\(439\) −1875.93 8219.01i −0.203949 0.893558i −0.968504 0.248999i \(-0.919898\pi\)
0.764555 0.644559i \(-0.222959\pi\)
\(440\) −12952.2 6237.46i −1.40335 0.675816i
\(441\) 1092.44 + 4786.28i 0.117961 + 0.516821i
\(442\) −855.952 1073.33i −0.0921120 0.115505i
\(443\) 9346.46 4501.02i 1.00240 0.482731i 0.140648 0.990060i \(-0.455081\pi\)
0.861753 + 0.507329i \(0.169367\pi\)
\(444\) −12393.5 15541.0i −1.32471 1.66113i
\(445\) −794.774 + 3482.13i −0.0846650 + 0.370941i
\(446\) 18361.1 + 8842.23i 1.94938 + 0.938771i
\(447\) 4863.85 + 2342.31i 0.514658 + 0.247846i
\(448\) −2942.14 + 3689.32i −0.310274 + 0.389072i
\(449\) 959.994 4206.01i 0.100902 0.442080i −0.899089 0.437766i \(-0.855770\pi\)
0.999991 0.00431359i \(-0.00137306\pi\)
\(450\) 1251.50 + 5483.16i 0.131102 + 0.574397i
\(451\) 9694.62 12156.7i 1.01220 1.26926i
\(452\) −11424.8 + 14326.2i −1.18889 + 1.49082i
\(453\) −23.6717 103.713i −0.00245517 0.0107568i
\(454\) 601.646 2635.98i 0.0621952 0.272495i
\(455\) 1983.75 2487.54i 0.204394 0.256302i
\(456\) 20775.5 + 10004.9i 2.13355 + 1.02746i
\(457\) −8095.32 3898.50i −0.828628 0.399046i −0.0290278 0.999579i \(-0.509241\pi\)
−0.799601 + 0.600532i \(0.794955\pi\)
\(458\) −1746.38 + 7651.39i −0.178172 + 0.780624i
\(459\) 187.267 + 234.826i 0.0190434 + 0.0238796i
\(460\) 9320.05 4488.30i 0.944673 0.454931i
\(461\) −3711.81 4654.47i −0.375003 0.470239i 0.558139 0.829748i \(-0.311516\pi\)
−0.933142 + 0.359509i \(0.882944\pi\)
\(462\) −2885.14 12640.6i −0.290539 1.27293i
\(463\) 310.923 + 149.733i 0.0312091 + 0.0150295i 0.449423 0.893319i \(-0.351630\pi\)
−0.418214 + 0.908348i \(0.637344\pi\)
\(464\) −1999.57 8760.70i −0.200060 0.876520i
\(465\) 3913.15 1884.47i 0.390254 0.187936i
\(466\) −29588.3 −2.94131
\(467\) 14107.1 1.39786 0.698930 0.715190i \(-0.253660\pi\)
0.698930 + 0.715190i \(0.253660\pi\)
\(468\) −14472.3 + 6969.50i −1.42945 + 0.688388i
\(469\) −98.1776 + 430.144i −0.00966614 + 0.0423501i
\(470\) −1619.76 + 2031.12i −0.158966 + 0.199337i
\(471\) −2275.84 2853.82i −0.222644 0.279187i
\(472\) −5609.25 −0.547005
\(473\) −17828.2 2577.64i −1.73307 0.250570i
\(474\) −20219.8 −1.95934
\(475\) 5101.02 + 6396.47i 0.492738 + 0.617874i
\(476\) −251.648 + 315.556i −0.0242316 + 0.0303855i
\(477\) −525.878 + 2304.02i −0.0504786 + 0.221161i
\(478\) 19708.0 9490.87i 1.88582 0.908164i
\(479\) −20351.8 −1.94133 −0.970665 0.240437i \(-0.922709\pi\)
−0.970665 + 0.240437i \(0.922709\pi\)
\(480\) −4786.48 −0.455150
\(481\) 12658.5 6096.00i 1.19995 0.577867i
\(482\) −3060.13 13407.3i −0.289180 1.26698i
\(483\) 3782.70 + 1821.65i 0.356353 + 0.171611i
\(484\) −8901.88 39001.7i −0.836014 3.66282i
\(485\) 954.435 + 1196.82i 0.0893581 + 0.112051i
\(486\) 17314.5 8338.22i 1.61605 0.778250i
\(487\) −1270.83 1593.57i −0.118248 0.148279i 0.719184 0.694819i \(-0.244516\pi\)
−0.837432 + 0.546541i \(0.815944\pi\)
\(488\) −3917.51 + 17163.7i −0.363396 + 1.59214i
\(489\) −18856.1 9080.63i −1.74377 0.839755i
\(490\) 9317.63 + 4487.14i 0.859036 + 0.413690i
\(491\) −399.307 + 500.715i −0.0367016 + 0.0460223i −0.799844 0.600209i \(-0.795084\pi\)
0.763142 + 0.646231i \(0.223656\pi\)
\(492\) −5185.02 + 22717.1i −0.475120 + 2.08164i
\(493\) 273.734 + 1199.31i 0.0250068 + 0.109562i
\(494\) −22581.7 + 28316.5i −2.05667 + 2.57899i
\(495\) 4706.39 5901.63i 0.427346 0.535875i
\(496\) 633.009 + 2773.39i 0.0573043 + 0.251067i
\(497\) 117.284 513.853i 0.0105853 0.0463772i
\(498\) −10301.7 + 12917.9i −0.926965 + 1.16238i
\(499\) −2008.24 967.120i −0.180163 0.0867620i 0.341628 0.939835i \(-0.389022\pi\)
−0.521791 + 0.853073i \(0.674736\pi\)
\(500\) 18747.2 + 9028.16i 1.67680 + 0.807503i
\(501\) −645.561 + 2828.39i −0.0575679 + 0.252221i
\(502\) 14969.1 + 18770.7i 1.33089 + 1.66888i
\(503\) −4696.13 + 2261.54i −0.416283 + 0.200471i −0.630288 0.776361i \(-0.717063\pi\)
0.214005 + 0.976832i \(0.431349\pi\)
\(504\) 2053.77 + 2575.34i 0.181512 + 0.227609i
\(505\) 2689.53 + 11783.6i 0.236995 + 1.03834i
\(506\) 26845.1 + 12927.9i 2.35852 + 1.13580i
\(507\) −3488.57 15284.4i −0.305587 1.33886i
\(508\) −30430.8 + 14654.7i −2.65777 + 1.27991i
\(509\) 14963.8 1.30306 0.651530 0.758623i \(-0.274127\pi\)
0.651530 + 0.758623i \(0.274127\pi\)
\(510\) −966.783 −0.0839409
\(511\) 3466.08 1669.18i 0.300060 0.144501i
\(512\) 2424.48 10622.4i 0.209273 0.916887i
\(513\) 4940.47 6195.16i 0.425199 0.533183i
\(514\) 13862.2 + 17382.6i 1.18956 + 1.49166i
\(515\) 8824.43 0.755050
\(516\) 25747.1 8111.81i 2.19662 0.692059i
\(517\) −4827.69 −0.410680
\(518\) −3991.85 5005.62i −0.338594 0.424583i
\(519\) 1158.04 1452.14i 0.0979430 0.122817i
\(520\) −3388.36 + 14845.4i −0.285749 + 1.25195i
\(521\) 60.5127 29.1414i 0.00508850 0.00245049i −0.431338 0.902191i \(-0.641958\pi\)
0.436426 + 0.899740i \(0.356244\pi\)
\(522\) 22309.8 1.87064
\(523\) −17636.9 −1.47458 −0.737291 0.675576i \(-0.763895\pi\)
−0.737291 + 0.675576i \(0.763895\pi\)
\(524\) 4052.98 1951.81i 0.337892 0.162720i
\(525\) 690.325 + 3024.51i 0.0573871 + 0.251429i
\(526\) −2750.30 1324.48i −0.227983 0.109791i
\(527\) −86.6565 379.667i −0.00716284 0.0313825i
\(528\) 8182.46 + 10260.5i 0.674424 + 0.845701i
\(529\) 2269.28 1092.83i 0.186511 0.0898189i
\(530\) 3103.94 + 3892.22i 0.254390 + 0.318995i
\(531\) 655.390 2871.45i 0.0535622 0.234671i
\(532\) 9593.56 + 4620.01i 0.781830 + 0.376509i
\(533\) −14838.7 7145.95i −1.20588 0.580723i
\(534\) 9612.30 12053.4i 0.778960 0.976785i
\(535\) −57.6047 + 252.383i −0.00465508 + 0.0203952i
\(536\) −469.867 2058.62i −0.0378641 0.165894i
\(537\) 11425.6 14327.2i 0.918155 1.15133i
\(538\) −1610.13 + 2019.04i −0.129029 + 0.161797i
\(539\) 4276.45 + 18736.4i 0.341744 + 1.49728i
\(540\) 1647.34 7217.45i 0.131278 0.575166i
\(541\) 12333.0 15465.1i 0.980106 1.22901i 0.00668875 0.999978i \(-0.497871\pi\)
0.973418 0.229037i \(-0.0735577\pi\)
\(542\) −28411.7 13682.4i −2.25164 1.08433i
\(543\) 14732.3 + 7094.71i 1.16432 + 0.560705i
\(544\) −95.4995 + 418.410i −0.00752666 + 0.0329765i
\(545\) −1164.84 1460.67i −0.0915531 0.114804i
\(546\) −12373.5 + 5958.75i −0.969845 + 0.467053i
\(547\) 13717.6 + 17201.4i 1.07226 + 1.34457i 0.935246 + 0.353997i \(0.115178\pi\)
0.137010 + 0.990570i \(0.456251\pi\)
\(548\) −8475.95 37135.6i −0.660720 2.89480i
\(549\) −8328.62 4010.85i −0.647462 0.311801i
\(550\) 4899.10 + 21464.4i 0.379815 + 1.66408i
\(551\) 29239.8 14081.1i 2.26072 1.08870i
\(552\) −20093.4 −1.54934
\(553\) −4201.72 −0.323102
\(554\) −17222.8 + 8294.05i −1.32080 + 0.636066i
\(555\) 2201.67 9646.13i 0.168388 0.737757i
\(556\) 23330.5 29255.5i 1.77955 2.23149i
\(557\) 4061.78 + 5093.31i 0.308982 + 0.387451i 0.911941 0.410321i \(-0.134583\pi\)
−0.602959 + 0.797772i \(0.706012\pi\)
\(558\) −7062.65 −0.535817
\(559\) 1540.26 + 19018.1i 0.116540 + 1.43896i
\(560\) 1467.53 0.110740
\(561\) −1120.15 1404.62i −0.0843007 0.105710i
\(562\) −10899.2 + 13667.1i −0.818066 + 1.02582i
\(563\) 1564.94 6856.47i 0.117148 0.513261i −0.881971 0.471304i \(-0.843784\pi\)
0.999119 0.0419571i \(-0.0133593\pi\)
\(564\) 6518.21 3139.00i 0.486642 0.234354i
\(565\) −9120.82 −0.679143
\(566\) −28679.5 −2.12984
\(567\) 5285.25 2545.24i 0.391463 0.188519i
\(568\) 561.307 + 2459.24i 0.0414646 + 0.181668i
\(569\) −8506.14 4096.34i −0.626706 0.301806i 0.0934435 0.995625i \(-0.470213\pi\)
−0.720150 + 0.693819i \(0.755927\pi\)
\(570\) 5675.52 + 24866.1i 0.417055 + 1.82724i
\(571\) −813.828 1020.51i −0.0596456 0.0747932i 0.751114 0.660173i \(-0.229517\pi\)
−0.810759 + 0.585380i \(0.800946\pi\)
\(572\) −56653.3 + 27282.8i −4.14125 + 1.99432i
\(573\) −127.405 159.760i −0.00928866 0.0116476i
\(574\) −1670.05 + 7316.98i −0.121440 + 0.532064i
\(575\) −6423.19 3093.25i −0.465853 0.224343i
\(576\) 10683.9 + 5145.10i 0.772852 + 0.372186i
\(577\) 3460.73 4339.62i 0.249692 0.313104i −0.641151 0.767414i \(-0.721543\pi\)
0.890843 + 0.454311i \(0.150114\pi\)
\(578\) 5171.69 22658.7i 0.372170 1.63058i
\(579\) −1737.40 7612.05i −0.124704 0.546366i
\(580\) 18904.5 23705.5i 1.35339 1.69710i
\(581\) −2140.71 + 2684.36i −0.152860 + 0.191680i
\(582\) −1470.32 6441.91i −0.104720 0.458807i
\(583\) −2058.60 + 9019.32i −0.146241 + 0.640724i
\(584\) −11479.4 + 14394.8i −0.813395 + 1.01997i
\(585\) −7203.66 3469.10i −0.509119 0.245179i
\(586\) 12244.1 + 5896.45i 0.863138 + 0.415666i
\(587\) 2052.41 8992.19i 0.144313 0.632278i −0.850091 0.526636i \(-0.823453\pi\)
0.994404 0.105642i \(-0.0336898\pi\)
\(588\) −17956.5 22516.7i −1.25937 1.57921i
\(589\) −9256.49 + 4457.69i −0.647550 + 0.311844i
\(590\) −3868.37 4850.78i −0.269929 0.338481i
\(591\) 4633.46 + 20300.5i 0.322496 + 1.41295i
\(592\) 5838.65 + 2811.74i 0.405350 + 0.195206i
\(593\) 837.642 + 3669.95i 0.0580064 + 0.254143i 0.995614 0.0935513i \(-0.0298219\pi\)
−0.937608 + 0.347694i \(0.886965\pi\)
\(594\) 19211.8 9251.90i 1.32705 0.639074i
\(595\) −200.900 −0.0138421
\(596\) −11930.6 −0.819960
\(597\) 10512.1 5062.37i 0.720658 0.347051i
\(598\) 7022.81 30768.9i 0.480241 2.10407i
\(599\) −14783.4 + 18537.8i −1.00840 + 1.26450i −0.0442844 + 0.999019i \(0.514101\pi\)
−0.964117 + 0.265477i \(0.914471\pi\)
\(600\) −9257.09 11608.0i −0.629865 0.789826i
\(601\) −21266.2 −1.44337 −0.721685 0.692222i \(-0.756632\pi\)
−0.721685 + 0.692222i \(0.756632\pi\)
\(602\) 8292.93 2612.74i 0.561453 0.176890i
\(603\) 1108.74 0.0748777
\(604\) 146.582 + 183.808i 0.00987471 + 0.0123825i
\(605\) 12415.2 15568.2i 0.834300 1.04618i
\(606\) 11609.2 50863.2i 0.778203 3.40953i
\(607\) −16607.5 + 7997.75i −1.11051 + 0.534792i −0.896947 0.442138i \(-0.854220\pi\)
−0.213560 + 0.976930i \(0.568506\pi\)
\(608\) 11322.3 0.755233
\(609\) 12306.1 0.818829
\(610\) −17544.6 + 8449.02i −1.16452 + 0.560805i
\(611\) 1137.88 + 4985.37i 0.0753414 + 0.330092i
\(612\) 913.819 + 440.072i 0.0603578 + 0.0290668i
\(613\) 5134.31 + 22494.9i 0.338292 + 1.48215i 0.802621 + 0.596490i \(0.203438\pi\)
−0.464329 + 0.885663i \(0.653705\pi\)
\(614\) 8585.65 + 10766.1i 0.564313 + 0.707627i
\(615\) −10449.7 + 5032.32i −0.685160 + 0.329956i
\(616\) 8039.67 + 10081.4i 0.525857 + 0.659403i
\(617\) 2752.02 12057.4i 0.179566 0.786730i −0.802264 0.596969i \(-0.796372\pi\)
0.981830 0.189761i \(-0.0607713\pi\)
\(618\) −34318.0 16526.7i −2.23377 1.07573i
\(619\) −3015.95 1452.40i −0.195834 0.0943087i 0.333397 0.942787i \(-0.391805\pi\)
−0.529231 + 0.848478i \(0.677519\pi\)
\(620\) −5984.64 + 7504.50i −0.387659 + 0.486110i
\(621\) −1536.47 + 6731.71i −0.0992856 + 0.434999i
\(622\) −4998.50 21899.8i −0.322221 1.41174i
\(623\) 1997.46 2504.73i 0.128453 0.161075i
\(624\) 8667.00 10868.1i 0.556022 0.697230i
\(625\) 285.871 + 1252.48i 0.0182958 + 0.0801590i
\(626\) −3506.04 + 15361.0i −0.223849 + 0.980748i
\(627\) −29551.6 + 37056.6i −1.88226 + 2.36028i
\(628\) 7267.99 + 3500.08i 0.461822 + 0.222402i
\(629\) −799.289 384.917i −0.0506673 0.0244001i
\(630\) −810.750 + 3552.13i −0.0512715 + 0.224635i
\(631\) −2288.82 2870.09i −0.144400 0.181072i 0.704372 0.709831i \(-0.251229\pi\)
−0.848772 + 0.528759i \(0.822657\pi\)
\(632\) 18117.5 8724.95i 1.14031 0.549145i
\(633\) 8293.05 + 10399.2i 0.520725 + 0.652969i
\(634\) 3537.28 + 15497.9i 0.221583 + 0.970817i
\(635\) −15147.0 7294.43i −0.946602 0.455859i
\(636\) −3084.97 13516.1i −0.192338 0.842688i
\(637\) 18340.4 8832.25i 1.14077 0.549367i
\(638\) 87333.8 5.41940
\(639\) −1324.50 −0.0819978
\(640\) 17264.4 8314.09i 1.06630 0.513505i
\(641\) −5583.35 + 24462.3i −0.344039 + 1.50733i 0.446423 + 0.894822i \(0.352698\pi\)
−0.790462 + 0.612512i \(0.790159\pi\)
\(642\) 696.693 873.625i 0.0428291 0.0537060i
\(643\) −9706.09 12171.1i −0.595289 0.746469i 0.389346 0.921091i \(-0.372701\pi\)
−0.984635 + 0.174623i \(0.944129\pi\)
\(644\) −9278.62 −0.567747
\(645\) 11147.3 + 7502.30i 0.680502 + 0.457989i
\(646\) 2286.91 0.139284
\(647\) 5927.46 + 7432.80i 0.360174 + 0.451644i 0.928595 0.371094i \(-0.121017\pi\)
−0.568422 + 0.822737i \(0.692446\pi\)
\(648\) −17504.4 + 21949.9i −1.06117 + 1.33067i
\(649\) 2565.59 11240.6i 0.155174 0.679863i
\(650\) 21010.7 10118.2i 1.26786 0.610568i
\(651\) −3895.76 −0.234542
\(652\) 46252.4 2.77820
\(653\) −16626.2 + 8006.74i −0.996374 + 0.479828i −0.859706 0.510789i \(-0.829353\pi\)
−0.136667 + 0.990617i \(0.543639\pi\)
\(654\) 1794.46 + 7862.05i 0.107292 + 0.470077i
\(655\) 2017.39 + 971.524i 0.120345 + 0.0579551i
\(656\) −1690.39 7406.10i −0.100608 0.440792i
\(657\) −6027.61 7558.39i −0.357929 0.448829i
\(658\) 2099.46 1011.05i 0.124385 0.0599007i
\(659\) 6606.97 + 8284.88i 0.390548 + 0.489731i 0.937771 0.347256i \(-0.112886\pi\)
−0.547223 + 0.836987i \(0.684315\pi\)
\(660\) −9853.60 + 43171.4i −0.581138 + 2.54613i
\(661\) −7430.53 3578.35i −0.437238 0.210563i 0.202298 0.979324i \(-0.435159\pi\)
−0.639536 + 0.768761i \(0.720873\pi\)
\(662\) −21718.2 10458.9i −1.27508 0.614045i
\(663\) −1186.48 + 1487.80i −0.0695009 + 0.0871513i
\(664\) 3656.46 16020.0i 0.213702 0.936291i
\(665\) 1179.39 + 5167.23i 0.0687739 + 0.301318i
\(666\) −10031.4 + 12579.0i −0.583646 + 0.731869i
\(667\) −17632.2 + 22110.1i −1.02357 + 1.28352i
\(668\) −1426.69 6250.72i −0.0826350 0.362048i
\(669\) 6285.94 27540.5i 0.363271 1.59160i
\(670\) 1456.22 1826.05i 0.0839683 0.105293i
\(671\) −32603.2 15700.9i −1.87576 0.903316i
\(672\) 3868.13 + 1862.79i 0.222048 + 0.106933i
\(673\) 4299.76 18838.5i 0.246276 1.07900i −0.688910 0.724847i \(-0.741911\pi\)
0.935186 0.354157i \(-0.115232\pi\)
\(674\) 27211.0 + 34121.5i 1.55509 + 1.95002i
\(675\) −4596.78 + 2213.69i −0.262118 + 0.126230i
\(676\) 21602.2 + 27088.2i 1.22907 + 1.54121i
\(677\) −3984.40 17456.8i −0.226193 0.991017i −0.952713 0.303871i \(-0.901721\pi\)
0.726520 0.687145i \(-0.241136\pi\)
\(678\) 35470.6 + 17081.7i 2.00920 + 0.967582i
\(679\) −305.536 1338.64i −0.0172686 0.0756589i
\(680\) 866.266 417.172i 0.0488526 0.0235262i
\(681\) −3747.84 −0.210892
\(682\) −27647.4 −1.55231
\(683\) 19581.8 9430.12i 1.09704 0.528307i 0.204313 0.978906i \(-0.434504\pi\)
0.892726 + 0.450599i \(0.148790\pi\)
\(684\) 5954.26 26087.3i 0.332846 1.45829i
\(685\) 11821.2 14823.3i 0.659365 0.826818i
\(686\) −12378.1 15521.6i −0.688918 0.863876i
\(687\) 10878.7 0.604148
\(688\) −6415.25 + 6024.67i −0.355493 + 0.333849i
\(689\) 9799.10 0.541823
\(690\) −13857.3 17376.5i −0.764547 0.958712i
\(691\) 3754.31 4707.76i 0.206687 0.259177i −0.667674 0.744454i \(-0.732710\pi\)
0.874361 + 0.485277i \(0.161281\pi\)
\(692\) −913.392 + 4001.83i −0.0501763 + 0.219837i
\(693\) −6100.19 + 2937.70i −0.334382 + 0.161030i
\(694\) −41269.5 −2.25730
\(695\) 18625.5 1.01656
\(696\) −53063.0 + 25553.8i −2.88987 + 1.39169i
\(697\) 231.409 + 1013.87i 0.0125756 + 0.0550975i
\(698\) 3285.10 + 1582.02i 0.178142 + 0.0857885i
\(699\) 9126.43 + 39985.5i 0.493839 + 2.16365i
\(700\) −4274.68 5360.28i −0.230811 0.289428i
\(701\) −16805.7 + 8093.21i −0.905482 + 0.436057i −0.827866 0.560926i \(-0.810445\pi\)
−0.0776165 + 0.996983i \(0.524731\pi\)
\(702\) −14082.2 17658.6i −0.757123 0.949402i
\(703\) −5208.00 + 22817.7i −0.279408 + 1.22416i
\(704\) 41823.2 + 20141.0i 2.23902 + 1.07826i
\(705\) 3244.47 + 1562.45i 0.173324 + 0.0834686i
\(706\) 7174.80 8996.91i 0.382474 0.479608i
\(707\) 2412.41 10569.5i 0.128328 0.562243i
\(708\) 3844.73 + 16844.8i 0.204087 + 0.894164i
\(709\) 6533.18 8192.35i 0.346063 0.433949i −0.578089 0.815974i \(-0.696201\pi\)
0.924152 + 0.382024i \(0.124773\pi\)
\(710\) −1739.61 + 2181.41i −0.0919529 + 0.115305i
\(711\) 2349.55 + 10294.0i 0.123931 + 0.542977i
\(712\) −3411.78 + 14948.0i −0.179581 + 0.786797i
\(713\) 5581.87 6999.44i 0.293187 0.367645i
\(714\) 781.292 + 376.251i 0.0409512 + 0.0197210i
\(715\) −28199.4 13580.1i −1.47496 0.710305i
\(716\) −9011.78 + 39483.2i −0.470371 + 2.06083i
\(717\) −18904.8 23705.9i −0.984678 1.23475i
\(718\) 55368.5 26664.1i 2.87790 1.38593i
\(719\) 8537.64 + 10705.9i 0.442838 + 0.555301i 0.952289 0.305199i \(-0.0987229\pi\)
−0.509451 + 0.860500i \(0.670151\pi\)
\(720\) −820.626 3595.40i −0.0424763 0.186101i
\(721\) −7131.34 3434.27i −0.368357 0.177391i
\(722\) −6178.27 27068.8i −0.318465 1.39528i
\(723\) −17174.7 + 8270.90i −0.883449 + 0.425447i
\(724\) −36137.1 −1.85500
\(725\) −20896.2 −1.07044
\(726\) −77439.2 + 37292.7i −3.95873 + 1.90642i
\(727\) 1224.48 5364.78i 0.0624667 0.273684i −0.934043 0.357160i \(-0.883745\pi\)
0.996510 + 0.0834759i \(0.0266021\pi\)
\(728\) 8515.76 10678.4i 0.433537 0.543639i
\(729\) −1402.53 1758.72i −0.0712559 0.0893521i
\(730\) −20365.1 −1.03253
\(731\) 878.224 824.755i 0.0444354 0.0417300i
\(732\) 54228.6 2.73818
\(733\) −2872.42 3601.90i −0.144741 0.181499i 0.704176 0.710025i \(-0.251316\pi\)
−0.848917 + 0.528526i \(0.822745\pi\)
\(734\) −6854.36 + 8595.10i −0.344685 + 0.432222i
\(735\) 3189.90 13975.9i 0.160083 0.701372i
\(736\) −8889.14 + 4280.78i −0.445187 + 0.214391i
\(737\) 4340.26 0.216927
\(738\) 18860.2 0.940722
\(739\) −11774.4 + 5670.25i −0.586100 + 0.282251i −0.703341 0.710853i \(-0.748309\pi\)
0.117241 + 0.993103i \(0.462595\pi\)
\(740\) 4865.67 + 21317.9i 0.241710 + 1.05900i
\(741\) 45232.1 + 21782.6i 2.24243 + 1.07990i
\(742\) −993.642 4353.43i −0.0491614 0.215390i
\(743\) 5419.46 + 6795.79i 0.267592 + 0.335549i 0.897414 0.441190i \(-0.145444\pi\)
−0.629822 + 0.776740i \(0.716872\pi\)
\(744\) 16798.3 8089.61i 0.827761 0.398628i
\(745\) −3702.60 4642.91i −0.182084 0.228326i
\(746\) 6733.39 29500.9i 0.330465 1.44786i
\(747\) 7773.64 + 3743.59i 0.380753 + 0.183361i
\(748\) 3577.23 + 1722.71i 0.174862 + 0.0842090i
\(749\) 144.774 181.541i 0.00706267 0.00885630i
\(750\) 9948.03 43585.2i 0.484334 2.12201i
\(751\) −721.997 3163.28i −0.0350813 0.153701i 0.954354 0.298679i \(-0.0965460\pi\)
−0.989435 + 0.144978i \(0.953689\pi\)
\(752\) −1470.57 + 1844.03i −0.0713113 + 0.0894215i
\(753\) 20749.5 26019.0i 1.00419 1.25921i
\(754\) −20584.4 90186.2i −0.994217 4.35595i
\(755\) −26.0397 + 114.087i −0.00125521 + 0.00549943i
\(756\) −4140.14 + 5191.57i −0.199174 + 0.249756i
\(757\) 5934.62 + 2857.96i 0.284937 + 0.137219i 0.570893 0.821024i \(-0.306597\pi\)
−0.285956 + 0.958243i \(0.592311\pi\)
\(758\) 17920.5 + 8630.04i 0.858708 + 0.413532i
\(759\) 9190.45 40266.0i 0.439515 1.92564i
\(760\) −15815.3 19831.7i −0.754843 0.946543i
\(761\) 10092.0 4860.03i 0.480727 0.231506i −0.177795 0.984068i \(-0.556896\pi\)
0.658522 + 0.752562i \(0.271182\pi\)
\(762\) 45245.2 + 56735.7i 2.15100 + 2.69727i
\(763\) 372.893 + 1633.75i 0.0176928 + 0.0775173i
\(764\) 406.871 + 195.939i 0.0192671 + 0.00927856i
\(765\) 112.341 + 492.196i 0.00530939 + 0.0232620i
\(766\) −35451.1 + 17072.4i −1.67219 + 0.805286i
\(767\) −12212.4 −0.574921
\(768\) −44451.8 −2.08856
\(769\) 11514.5 5545.07i 0.539951 0.260027i −0.143971 0.989582i \(-0.545987\pi\)
0.683922 + 0.729555i \(0.260273\pi\)
\(770\) −3173.76 + 13905.2i −0.148538 + 0.650788i
\(771\) 19215.1 24094.9i 0.897553 1.12550i
\(772\) 10758.5 + 13490.7i 0.501561 + 0.628938i
\(773\) −31109.7