Properties

Label 74.4.f.a.9.1
Level $74$
Weight $4$
Character 74.9
Analytic conductor $4.366$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.1
Character \(\chi\) \(=\) 74.9
Dual form 74.4.f.a.33.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.347296 - 1.96962i) q^{2} +(-1.43352 + 8.12991i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-2.21967 - 1.86252i) q^{5} +16.5106 q^{6} +(-21.7866 - 18.2811i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-38.6687 - 14.0742i) q^{9} +O(q^{10})\) \(q+(-0.347296 - 1.96962i) q^{2} +(-1.43352 + 8.12991i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-2.21967 - 1.86252i) q^{5} +16.5106 q^{6} +(-21.7866 - 18.2811i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-38.6687 - 14.0742i) q^{9} +(-2.89757 + 5.01874i) q^{10} +(-14.7962 - 25.6277i) q^{11} +(-5.73409 - 32.5196i) q^{12} +(-35.3427 + 12.8637i) q^{13} +(-28.4404 + 49.2602i) q^{14} +(18.3241 - 15.3757i) q^{15} +(12.2567 - 10.2846i) q^{16} +(31.2096 + 11.3594i) q^{17} +(-14.2914 + 81.0504i) q^{18} +(-21.5046 + 121.959i) q^{19} +(10.8913 + 3.96411i) q^{20} +(179.855 - 150.917i) q^{21} +(-45.3381 + 38.0432i) q^{22} +(-78.7697 + 136.433i) q^{23} +(-62.0597 + 22.5879i) q^{24} +(-20.2481 - 114.833i) q^{25} +(37.6109 + 65.1440i) q^{26} +(58.4078 - 101.165i) q^{27} +(106.901 + 38.9087i) q^{28} +(-73.5919 - 127.465i) q^{29} +(-36.6482 - 30.7515i) q^{30} +36.4653 q^{31} +(-24.5134 - 20.5692i) q^{32} +(229.561 - 83.5535i) q^{33} +(11.5346 - 65.4160i) q^{34} +(14.3100 + 81.1561i) q^{35} +164.601 q^{36} +(200.463 - 102.312i) q^{37} +247.680 q^{38} +(-53.9160 - 305.773i) q^{39} +(4.02526 - 22.8284i) q^{40} +(-325.103 + 118.328i) q^{41} +(-359.711 - 301.833i) q^{42} +160.652 q^{43} +(90.6762 + 76.0863i) q^{44} +(59.6180 + 103.261i) q^{45} +(296.077 + 107.763i) q^{46} +(-271.116 + 469.587i) q^{47} +(66.0426 + 114.389i) q^{48} +(80.8949 + 458.778i) q^{49} +(-219.144 + 79.7619i) q^{50} +(-137.090 + 237.447i) q^{51} +(115.246 - 96.7033i) q^{52} +(3.05085 - 2.55997i) q^{53} +(-219.542 - 79.9066i) q^{54} +(-14.8896 + 84.4432i) q^{55} +(39.5090 - 224.066i) q^{56} +(-960.685 - 349.661i) q^{57} +(-225.499 + 189.216i) q^{58} +(-104.362 + 87.5697i) q^{59} +(-47.8408 + 82.8627i) q^{60} +(868.781 - 316.211i) q^{61} +(-12.6643 - 71.8226i) q^{62} +(585.166 + 1013.54i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(102.408 + 37.2734i) q^{65} +(-244.294 - 423.130i) q^{66} +(-209.401 - 175.708i) q^{67} -132.850 q^{68} +(-996.270 - 835.970i) q^{69} +(154.876 - 56.3704i) q^{70} +(118.178 - 670.220i) q^{71} +(-57.1655 - 324.201i) q^{72} -537.365 q^{73} +(-271.136 - 359.301i) q^{74} +962.604 q^{75} +(-86.0184 - 487.835i) q^{76} +(-146.145 + 828.831i) q^{77} +(-583.530 + 212.388i) q^{78} +(-100.265 - 84.1322i) q^{79} -46.3611 q^{80} +(-112.385 - 94.3022i) q^{81} +(345.967 + 599.232i) q^{82} +(-293.536 - 106.838i) q^{83} +(-469.569 + 813.317i) q^{84} +(-48.1179 - 83.3427i) q^{85} +(-55.7940 - 316.424i) q^{86} +(1141.77 - 415.572i) q^{87} +(118.369 - 205.022i) q^{88} +(-250.855 + 210.492i) q^{89} +(182.680 - 153.287i) q^{90} +(1005.16 + 365.848i) q^{91} +(109.426 - 620.584i) q^{92} +(-52.2738 + 296.459i) q^{93} +(1019.06 + 370.909i) q^{94} +(274.884 - 230.655i) q^{95} +(202.366 - 169.805i) q^{96} +(-761.149 + 1318.35i) q^{97} +(875.521 - 318.664i) q^{98} +(211.457 + 1199.23i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9} + 6 q^{10} + 87 q^{11} + 24 q^{12} - 45 q^{13} + 6 q^{14} - 141 q^{15} + 120 q^{17} - 192 q^{18} - 177 q^{19} - 36 q^{20} + 159 q^{21} - 42 q^{22} + 45 q^{23} - 48 q^{24} - 321 q^{25} + 150 q^{26} + 435 q^{27} + 96 q^{28} - 153 q^{29} + 282 q^{30} + 1002 q^{31} - 210 q^{33} - 456 q^{34} + 3 q^{35} + 216 q^{36} - 1239 q^{37} + 780 q^{38} - 474 q^{39} - 144 q^{40} - 1437 q^{41} - 318 q^{42} + 504 q^{43} + 84 q^{44} - 171 q^{45} + 714 q^{46} + 396 q^{47} + 144 q^{48} + 399 q^{49} - 1212 q^{50} - 972 q^{51} + 504 q^{52} + 1173 q^{53} + 360 q^{54} + 1755 q^{55} - 408 q^{56} - 3525 q^{57} + 24 q^{58} + 1260 q^{59} - 108 q^{60} + 2946 q^{61} - 1380 q^{62} + 2514 q^{63} - 768 q^{64} + 1599 q^{65} - 252 q^{66} - 645 q^{67} + 1200 q^{68} - 5037 q^{69} - 366 q^{70} - 753 q^{71} - 768 q^{72} - 876 q^{73} - 1338 q^{74} + 6960 q^{75} - 708 q^{76} + 1197 q^{77} - 1590 q^{78} - 3276 q^{79} + 96 q^{80} + 36 q^{81} - 216 q^{82} - 1110 q^{83} + 504 q^{84} + 1992 q^{85} - 192 q^{86} + 1125 q^{87} - 696 q^{88} + 3045 q^{89} + 4590 q^{90} + 5046 q^{91} + 2604 q^{92} - 4917 q^{93} + 78 q^{94} + 2274 q^{95} + 384 q^{96} - 624 q^{97} + 1902 q^{98} - 5904 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.347296 1.96962i −0.122788 0.696364i
\(3\) −1.43352 + 8.12991i −0.275881 + 1.56460i 0.460267 + 0.887781i \(0.347754\pi\)
−0.736148 + 0.676820i \(0.763357\pi\)
\(4\) −3.75877 + 1.36808i −0.469846 + 0.171010i
\(5\) −2.21967 1.86252i −0.198533 0.166589i 0.538101 0.842880i \(-0.319142\pi\)
−0.736635 + 0.676291i \(0.763586\pi\)
\(6\) 16.5106 1.12341
\(7\) −21.7866 18.2811i −1.17637 0.987088i −0.999996 0.00276366i \(-0.999120\pi\)
−0.176369 0.984324i \(-0.556435\pi\)
\(8\) 4.00000 + 6.92820i 0.176777 + 0.306186i
\(9\) −38.6687 14.0742i −1.43217 0.521268i
\(10\) −2.89757 + 5.01874i −0.0916293 + 0.158707i
\(11\) −14.7962 25.6277i −0.405565 0.702459i 0.588822 0.808262i \(-0.299592\pi\)
−0.994387 + 0.105804i \(0.966258\pi\)
\(12\) −5.73409 32.5196i −0.137941 0.782301i
\(13\) −35.3427 + 12.8637i −0.754023 + 0.274442i −0.690297 0.723526i \(-0.742520\pi\)
−0.0637252 + 0.997967i \(0.520298\pi\)
\(14\) −28.4404 + 49.2602i −0.542929 + 0.940381i
\(15\) 18.3241 15.3757i 0.315417 0.264666i
\(16\) 12.2567 10.2846i 0.191511 0.160697i
\(17\) 31.2096 + 11.3594i 0.445261 + 0.162062i 0.554913 0.831908i \(-0.312751\pi\)
−0.109652 + 0.993970i \(0.534974\pi\)
\(18\) −14.2914 + 81.0504i −0.187139 + 1.06132i
\(19\) −21.5046 + 121.959i −0.259658 + 1.47259i 0.524170 + 0.851614i \(0.324376\pi\)
−0.783828 + 0.620978i \(0.786736\pi\)
\(20\) 10.8913 + 3.96411i 0.121769 + 0.0443201i
\(21\) 179.855 150.917i 1.86894 1.56822i
\(22\) −45.3381 + 38.0432i −0.439369 + 0.368674i
\(23\) −78.7697 + 136.433i −0.714114 + 1.23688i 0.249187 + 0.968455i \(0.419837\pi\)
−0.963300 + 0.268425i \(0.913497\pi\)
\(24\) −62.0597 + 22.5879i −0.527829 + 0.192114i
\(25\) −20.2481 114.833i −0.161985 0.918661i
\(26\) 37.6109 + 65.1440i 0.283696 + 0.491376i
\(27\) 58.4078 101.165i 0.416318 0.721085i
\(28\) 106.901 + 38.9087i 0.721513 + 0.262609i
\(29\) −73.5919 127.465i −0.471230 0.816195i 0.528228 0.849103i \(-0.322857\pi\)
−0.999458 + 0.0329076i \(0.989523\pi\)
\(30\) −36.6482 30.7515i −0.223034 0.187147i
\(31\) 36.4653 0.211270 0.105635 0.994405i \(-0.466313\pi\)
0.105635 + 0.994405i \(0.466313\pi\)
\(32\) −24.5134 20.5692i −0.135419 0.113630i
\(33\) 229.561 83.5535i 1.21096 0.440752i
\(34\) 11.5346 65.4160i 0.0581814 0.329963i
\(35\) 14.3100 + 81.1561i 0.0691095 + 0.391939i
\(36\) 164.601 0.762044
\(37\) 200.463 102.312i 0.890698 0.454595i
\(38\) 247.680 1.05734
\(39\) −53.9160 305.773i −0.221371 1.25546i
\(40\) 4.02526 22.8284i 0.0159113 0.0902372i
\(41\) −325.103 + 118.328i −1.23835 + 0.450724i −0.876451 0.481492i \(-0.840095\pi\)
−0.361903 + 0.932216i \(0.617873\pi\)
\(42\) −359.711 301.833i −1.32154 1.10890i
\(43\) 160.652 0.569751 0.284875 0.958565i \(-0.408048\pi\)
0.284875 + 0.958565i \(0.408048\pi\)
\(44\) 90.6762 + 76.0863i 0.310681 + 0.260692i
\(45\) 59.6180 + 103.261i 0.197496 + 0.342074i
\(46\) 296.077 + 107.763i 0.949004 + 0.345409i
\(47\) −271.116 + 469.587i −0.841412 + 1.45737i 0.0472896 + 0.998881i \(0.484942\pi\)
−0.888701 + 0.458487i \(0.848392\pi\)
\(48\) 66.0426 + 114.389i 0.198592 + 0.343972i
\(49\) 80.8949 + 458.778i 0.235845 + 1.33754i
\(50\) −219.144 + 79.7619i −0.619833 + 0.225601i
\(51\) −137.090 + 237.447i −0.376401 + 0.651946i
\(52\) 115.246 96.7033i 0.307342 0.257891i
\(53\) 3.05085 2.55997i 0.00790692 0.00663469i −0.638826 0.769352i \(-0.720579\pi\)
0.646733 + 0.762717i \(0.276135\pi\)
\(54\) −219.542 79.9066i −0.553256 0.201369i
\(55\) −14.8896 + 84.4432i −0.0365039 + 0.207024i
\(56\) 39.5090 224.066i 0.0942787 0.534681i
\(57\) −960.685 349.661i −2.23238 0.812521i
\(58\) −225.499 + 189.216i −0.510508 + 0.428367i
\(59\) −104.362 + 87.5697i −0.230283 + 0.193231i −0.750627 0.660726i \(-0.770248\pi\)
0.520344 + 0.853957i \(0.325804\pi\)
\(60\) −47.8408 + 82.8627i −0.102937 + 0.178292i
\(61\) 868.781 316.211i 1.82354 0.663715i 0.829016 0.559225i \(-0.188901\pi\)
0.994526 0.104489i \(-0.0333208\pi\)
\(62\) −12.6643 71.8226i −0.0259413 0.147121i
\(63\) 585.166 + 1013.54i 1.17022 + 2.02688i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) 102.408 + 37.2734i 0.195418 + 0.0711262i
\(66\) −244.294 423.130i −0.455614 0.789147i
\(67\) −209.401 175.708i −0.381827 0.320391i 0.431592 0.902069i \(-0.357952\pi\)
−0.813419 + 0.581678i \(0.802396\pi\)
\(68\) −132.850 −0.236919
\(69\) −996.270 835.970i −1.73821 1.45854i
\(70\) 154.876 56.3704i 0.264447 0.0962508i
\(71\) 118.178 670.220i 0.197537 1.12029i −0.711222 0.702968i \(-0.751858\pi\)
0.908759 0.417321i \(-0.137031\pi\)
\(72\) −57.1655 324.201i −0.0935696 0.530660i
\(73\) −537.365 −0.861558 −0.430779 0.902457i \(-0.641761\pi\)
−0.430779 + 0.902457i \(0.641761\pi\)
\(74\) −271.136 359.301i −0.425931 0.564432i
\(75\) 962.604 1.48203
\(76\) −86.0184 487.835i −0.129829 0.736296i
\(77\) −146.145 + 828.831i −0.216296 + 1.22668i
\(78\) −583.530 + 212.388i −0.847074 + 0.308310i
\(79\) −100.265 84.1322i −0.142793 0.119818i 0.568593 0.822619i \(-0.307488\pi\)
−0.711386 + 0.702801i \(0.751932\pi\)
\(80\) −46.3611 −0.0647917
\(81\) −112.385 94.3022i −0.154163 0.129358i
\(82\) 345.967 + 599.232i 0.465923 + 0.807002i
\(83\) −293.536 106.838i −0.388190 0.141289i 0.140550 0.990074i \(-0.455113\pi\)
−0.528740 + 0.848784i \(0.677335\pi\)
\(84\) −469.569 + 813.317i −0.609931 + 1.05643i
\(85\) −48.1179 83.3427i −0.0614014 0.106350i
\(86\) −55.7940 316.424i −0.0699584 0.396754i
\(87\) 1141.77 415.572i 1.40702 0.512115i
\(88\) 118.369 205.022i 0.143389 0.248357i
\(89\) −250.855 + 210.492i −0.298770 + 0.250698i −0.779832 0.625989i \(-0.784696\pi\)
0.481062 + 0.876687i \(0.340251\pi\)
\(90\) 182.680 153.287i 0.213958 0.179532i
\(91\) 1005.16 + 365.848i 1.15790 + 0.421443i
\(92\) 109.426 620.584i 0.124005 0.703265i
\(93\) −52.2738 + 296.459i −0.0582854 + 0.330553i
\(94\) 1019.06 + 370.909i 1.11817 + 0.406982i
\(95\) 274.884 230.655i 0.296868 0.249102i
\(96\) 202.366 169.805i 0.215145 0.180528i
\(97\) −761.149 + 1318.35i −0.796731 + 1.37998i 0.125003 + 0.992156i \(0.460106\pi\)
−0.921734 + 0.387823i \(0.873227\pi\)
\(98\) 875.521 318.664i 0.902459 0.328468i
\(99\) 211.457 + 1199.23i 0.214669 + 1.21745i
\(100\) 233.208 + 403.928i 0.233208 + 0.403928i
\(101\) 629.924 1091.06i 0.620592 1.07490i −0.368784 0.929515i \(-0.620226\pi\)
0.989376 0.145382i \(-0.0464410\pi\)
\(102\) 515.291 + 187.551i 0.500210 + 0.182061i
\(103\) 186.355 + 322.777i 0.178273 + 0.308778i 0.941289 0.337601i \(-0.109616\pi\)
−0.763016 + 0.646380i \(0.776282\pi\)
\(104\) −230.493 193.407i −0.217324 0.182356i
\(105\) −680.305 −0.632295
\(106\) −6.10170 5.11994i −0.00559104 0.00469144i
\(107\) −1569.20 + 571.142i −1.41776 + 0.516023i −0.933397 0.358844i \(-0.883171\pi\)
−0.484363 + 0.874867i \(0.660949\pi\)
\(108\) −81.1393 + 460.164i −0.0722929 + 0.409994i
\(109\) −345.108 1957.21i −0.303260 1.71988i −0.631582 0.775309i \(-0.717594\pi\)
0.328321 0.944566i \(-0.393517\pi\)
\(110\) 171.492 0.148646
\(111\) 544.421 + 1776.41i 0.465533 + 1.51900i
\(112\) −455.046 −0.383909
\(113\) −94.1657 534.040i −0.0783926 0.444587i −0.998588 0.0531267i \(-0.983081\pi\)
0.920195 0.391460i \(-0.128030\pi\)
\(114\) −355.055 + 2013.62i −0.291701 + 1.65432i
\(115\) 428.952 156.126i 0.347826 0.126598i
\(116\) 450.998 + 378.432i 0.360983 + 0.302901i
\(117\) 1547.70 1.22295
\(118\) 208.723 + 175.139i 0.162835 + 0.136635i
\(119\) −472.289 818.029i −0.363821 0.630156i
\(120\) 179.823 + 65.4500i 0.136796 + 0.0497895i
\(121\) 227.647 394.296i 0.171035 0.296241i
\(122\) −924.538 1601.35i −0.686096 1.18835i
\(123\) −495.951 2812.68i −0.363564 2.06188i
\(124\) −137.065 + 49.8875i −0.0992643 + 0.0361292i
\(125\) −350.033 + 606.274i −0.250463 + 0.433815i
\(126\) 1793.05 1504.55i 1.26776 1.06378i
\(127\) 1886.31 1582.80i 1.31798 1.10591i 0.331246 0.943544i \(-0.392531\pi\)
0.986730 0.162369i \(-0.0519134\pi\)
\(128\) 120.281 + 43.7786i 0.0830579 + 0.0302306i
\(129\) −230.299 + 1306.09i −0.157184 + 0.891432i
\(130\) 37.8484 214.649i 0.0255348 0.144815i
\(131\) −1461.09 531.794i −0.974476 0.354680i −0.194786 0.980846i \(-0.562401\pi\)
−0.779690 + 0.626166i \(0.784623\pi\)
\(132\) −748.561 + 628.117i −0.493590 + 0.414171i
\(133\) 2698.05 2263.94i 1.75903 1.47600i
\(134\) −273.354 + 473.462i −0.176225 + 0.305231i
\(135\) −318.069 + 115.768i −0.202778 + 0.0738051i
\(136\) 46.1384 + 261.664i 0.0290907 + 0.164982i
\(137\) 1519.54 + 2631.92i 0.947612 + 1.64131i 0.750435 + 0.660945i \(0.229844\pi\)
0.197177 + 0.980368i \(0.436822\pi\)
\(138\) −1300.54 + 2252.60i −0.802240 + 1.38952i
\(139\) 540.740 + 196.813i 0.329964 + 0.120097i 0.501689 0.865048i \(-0.332712\pi\)
−0.171726 + 0.985145i \(0.554934\pi\)
\(140\) −164.816 285.470i −0.0994964 0.172333i
\(141\) −3429.05 2877.31i −2.04807 1.71853i
\(142\) −1361.12 −0.804384
\(143\) 852.603 + 715.419i 0.498589 + 0.418366i
\(144\) −618.699 + 225.188i −0.358043 + 0.130317i
\(145\) −74.0568 + 419.997i −0.0424143 + 0.240544i
\(146\) 186.625 + 1058.40i 0.105789 + 0.599958i
\(147\) −3845.78 −2.15779
\(148\) −613.521 + 658.817i −0.340751 + 0.365908i
\(149\) −1473.67 −0.810256 −0.405128 0.914260i \(-0.632773\pi\)
−0.405128 + 0.914260i \(0.632773\pi\)
\(150\) −334.309 1895.96i −0.181975 1.03203i
\(151\) −631.797 + 3583.10i −0.340496 + 1.93105i 0.0236831 + 0.999720i \(0.492461\pi\)
−0.364179 + 0.931329i \(0.618650\pi\)
\(152\) −930.973 + 338.846i −0.496789 + 0.180816i
\(153\) −1046.96 878.504i −0.553214 0.464201i
\(154\) 1683.23 0.880772
\(155\) −80.9409 67.9175i −0.0419440 0.0351952i
\(156\) 620.980 + 1075.57i 0.318706 + 0.552016i
\(157\) 1076.45 + 391.794i 0.547196 + 0.199163i 0.600800 0.799399i \(-0.294849\pi\)
−0.0536045 + 0.998562i \(0.517071\pi\)
\(158\) −130.887 + 226.702i −0.0659036 + 0.114148i
\(159\) 16.4388 + 28.4729i 0.00819927 + 0.0142016i
\(160\) 16.1011 + 91.3136i 0.00795563 + 0.0451186i
\(161\) 4210.27 1532.41i 2.06097 0.750131i
\(162\) −146.708 + 254.106i −0.0711511 + 0.123237i
\(163\) −1164.68 + 977.280i −0.559660 + 0.469610i −0.878196 0.478300i \(-0.841253\pi\)
0.318536 + 0.947911i \(0.396809\pi\)
\(164\) 1060.10 889.533i 0.504758 0.423542i
\(165\) −665.171 242.102i −0.313839 0.114228i
\(166\) −108.486 + 615.257i −0.0507240 + 0.287670i
\(167\) 335.454 1902.46i 0.155439 0.881536i −0.802945 0.596053i \(-0.796735\pi\)
0.958384 0.285483i \(-0.0921540\pi\)
\(168\) 1765.00 + 642.408i 0.810553 + 0.295017i
\(169\) −599.369 + 502.930i −0.272813 + 0.228917i
\(170\) −147.442 + 123.718i −0.0665192 + 0.0558163i
\(171\) 2548.03 4413.32i 1.13949 1.97366i
\(172\) −603.856 + 219.786i −0.267695 + 0.0974331i
\(173\) −104.773 594.195i −0.0460446 0.261132i 0.953092 0.302681i \(-0.0978818\pi\)
−0.999136 + 0.0415493i \(0.986771\pi\)
\(174\) −1215.05 2104.53i −0.529384 0.916919i
\(175\) −1658.13 + 2871.97i −0.716246 + 1.24057i
\(176\) −444.923 161.939i −0.190553 0.0693556i
\(177\) −562.329 973.982i −0.238798 0.413610i
\(178\) 501.710 + 420.984i 0.211262 + 0.177270i
\(179\) −1559.18 −0.651055 −0.325528 0.945533i \(-0.605542\pi\)
−0.325528 + 0.945533i \(0.605542\pi\)
\(180\) −365.361 306.574i −0.151291 0.126948i
\(181\) −1575.18 + 573.317i −0.646861 + 0.235438i −0.644554 0.764559i \(-0.722957\pi\)
−0.00230760 + 0.999997i \(0.500735\pi\)
\(182\) 371.492 2106.83i 0.151301 0.858071i
\(183\) 1325.34 + 7516.40i 0.535368 + 3.03622i
\(184\) −1260.31 −0.504954
\(185\) −635.519 146.267i −0.252564 0.0581284i
\(186\) 602.066 0.237342
\(187\) −170.668 967.906i −0.0667405 0.378504i
\(188\) 376.631 2135.98i 0.146110 0.828629i
\(189\) −3121.92 + 1136.29i −1.20152 + 0.437316i
\(190\) −549.768 461.310i −0.209918 0.176142i
\(191\) −1587.56 −0.601422 −0.300711 0.953715i \(-0.597224\pi\)
−0.300711 + 0.953715i \(0.597224\pi\)
\(192\) −404.732 339.611i −0.152130 0.127653i
\(193\) −600.453 1040.01i −0.223946 0.387886i 0.732057 0.681244i \(-0.238561\pi\)
−0.956003 + 0.293358i \(0.905227\pi\)
\(194\) 2860.98 + 1041.31i 1.05880 + 0.385371i
\(195\) −449.834 + 779.135i −0.165196 + 0.286128i
\(196\) −931.710 1613.77i −0.339544 0.588108i
\(197\) 697.499 + 3955.72i 0.252258 + 1.43062i 0.803015 + 0.595959i \(0.203228\pi\)
−0.550757 + 0.834666i \(0.685661\pi\)
\(198\) 2288.59 832.980i 0.821430 0.298976i
\(199\) 1466.55 2540.14i 0.522417 0.904853i −0.477243 0.878771i \(-0.658364\pi\)
0.999660 0.0260812i \(-0.00830285\pi\)
\(200\) 714.591 599.613i 0.252646 0.211995i
\(201\) 1728.67 1450.53i 0.606623 0.509017i
\(202\) −2367.74 861.787i −0.824721 0.300174i
\(203\) −726.885 + 4122.37i −0.251317 + 1.42529i
\(204\) 190.444 1080.06i 0.0653614 0.370683i
\(205\) 942.008 + 342.863i 0.320940 + 0.116813i
\(206\) 571.026 479.148i 0.193132 0.162057i
\(207\) 4966.11 4167.06i 1.66748 1.39918i
\(208\) −300.887 + 521.152i −0.100302 + 0.173728i
\(209\) 3443.71 1253.41i 1.13974 0.414832i
\(210\) 236.267 + 1339.94i 0.0776381 + 0.440308i
\(211\) 1672.68 + 2897.18i 0.545746 + 0.945260i 0.998560 + 0.0536544i \(0.0170869\pi\)
−0.452814 + 0.891605i \(0.649580\pi\)
\(212\) −7.96521 + 13.7961i −0.00258044 + 0.00446945i
\(213\) 5279.42 + 1921.55i 1.69831 + 0.618134i
\(214\) 1669.91 + 2892.37i 0.533423 + 0.923916i
\(215\) −356.595 299.219i −0.113114 0.0949143i
\(216\) 934.526 0.294382
\(217\) −794.454 666.626i −0.248530 0.208542i
\(218\) −3735.09 + 1359.46i −1.16042 + 0.422359i
\(219\) 770.324 4368.72i 0.237688 1.34800i
\(220\) −59.5585 337.773i −0.0182520 0.103512i
\(221\) −1249.15 −0.380214
\(222\) 3309.77 1689.24i 1.00062 0.510695i
\(223\) −2687.13 −0.806921 −0.403460 0.914997i \(-0.632193\pi\)
−0.403460 + 0.914997i \(0.632193\pi\)
\(224\) 158.036 + 896.266i 0.0471393 + 0.267340i
\(225\) −833.216 + 4725.40i −0.246879 + 1.40012i
\(226\) −1019.15 + 370.940i −0.299969 + 0.109180i
\(227\) 4021.82 + 3374.71i 1.17594 + 0.986727i 0.999997 + 0.00232626i \(0.000740471\pi\)
0.175939 + 0.984401i \(0.443704\pi\)
\(228\) 4089.36 1.18783
\(229\) 657.046 + 551.327i 0.189602 + 0.159095i 0.732647 0.680608i \(-0.238284\pi\)
−0.543046 + 0.839703i \(0.682729\pi\)
\(230\) −456.482 790.649i −0.130867 0.226669i
\(231\) −6528.81 2376.29i −1.85959 0.676834i
\(232\) 588.736 1019.72i 0.166605 0.288568i
\(233\) 2234.27 + 3869.87i 0.628206 + 1.08808i 0.987912 + 0.155019i \(0.0495439\pi\)
−0.359705 + 0.933066i \(0.617123\pi\)
\(234\) −537.511 3048.38i −0.150163 0.851618i
\(235\) 1476.40 537.367i 0.409830 0.149166i
\(236\) 272.469 471.929i 0.0751534 0.130169i
\(237\) 827.719 694.539i 0.226861 0.190359i
\(238\) −1447.18 + 1214.33i −0.394145 + 0.330727i
\(239\) −1770.88 644.547i −0.479283 0.174445i 0.0910700 0.995844i \(-0.470971\pi\)
−0.570353 + 0.821400i \(0.693194\pi\)
\(240\) 66.4597 376.912i 0.0178748 0.101373i
\(241\) 274.119 1554.60i 0.0732678 0.415522i −0.926009 0.377501i \(-0.876783\pi\)
0.999277 0.0380211i \(-0.0121054\pi\)
\(242\) −855.673 311.440i −0.227292 0.0827276i
\(243\) 3343.90 2805.86i 0.882762 0.740725i
\(244\) −2832.95 + 2377.13i −0.743282 + 0.623688i
\(245\) 674.924 1169.00i 0.175997 0.304836i
\(246\) −5367.65 + 1953.67i −1.39118 + 0.506346i
\(247\) −808.808 4586.98i −0.208353 1.18163i
\(248\) 145.861 + 252.639i 0.0373476 + 0.0646879i
\(249\) 1289.37 2233.26i 0.328156 0.568383i
\(250\) 1315.69 + 478.873i 0.332847 + 0.121146i
\(251\) −1352.43 2342.47i −0.340097 0.589066i 0.644353 0.764728i \(-0.277127\pi\)
−0.984450 + 0.175662i \(0.943793\pi\)
\(252\) −3586.10 3009.10i −0.896442 0.752204i
\(253\) 4661.96 1.15848
\(254\) −3772.62 3165.60i −0.931950 0.781999i
\(255\) 746.546 271.721i 0.183335 0.0667286i
\(256\) 44.4539 252.111i 0.0108530 0.0615505i
\(257\) 521.525 + 2957.72i 0.126583 + 0.717888i 0.980355 + 0.197241i \(0.0631982\pi\)
−0.853772 + 0.520647i \(0.825691\pi\)
\(258\) 2652.48 0.640062
\(259\) −6237.78 1435.65i −1.49651 0.344427i
\(260\) −435.921 −0.103980
\(261\) 1051.73 + 5964.65i 0.249427 + 1.41457i
\(262\) −539.998 + 3062.48i −0.127333 + 0.722140i
\(263\) −864.088 + 314.502i −0.202593 + 0.0737378i −0.441324 0.897348i \(-0.645491\pi\)
0.238731 + 0.971086i \(0.423269\pi\)
\(264\) 1497.12 + 1256.23i 0.349021 + 0.292863i
\(265\) −11.5399 −0.00267505
\(266\) −5396.11 4527.87i −1.24382 1.04369i
\(267\) −1351.68 2341.17i −0.309817 0.536619i
\(268\) 1027.47 + 373.970i 0.234190 + 0.0852382i
\(269\) −201.501 + 349.010i −0.0456719 + 0.0791061i −0.887958 0.459925i \(-0.847876\pi\)
0.842286 + 0.539031i \(0.181210\pi\)
\(270\) 338.482 + 586.268i 0.0762939 + 0.132145i
\(271\) −711.222 4033.54i −0.159423 0.904133i −0.954630 0.297795i \(-0.903749\pi\)
0.795207 0.606338i \(-0.207362\pi\)
\(272\) 499.354 181.750i 0.111315 0.0405155i
\(273\) −4415.23 + 7647.40i −0.978834 + 1.69539i
\(274\) 4656.13 3906.96i 1.02660 0.861416i
\(275\) −2643.30 + 2217.99i −0.579626 + 0.486364i
\(276\) 4888.42 + 1779.24i 1.06612 + 0.388035i
\(277\) 409.271 2321.09i 0.0887751 0.503469i −0.907703 0.419614i \(-0.862166\pi\)
0.996478 0.0838552i \(-0.0267233\pi\)
\(278\) 199.849 1133.40i 0.0431157 0.244521i
\(279\) −1410.06 513.222i −0.302575 0.110128i
\(280\) −505.026 + 423.767i −0.107789 + 0.0904461i
\(281\) −5672.85 + 4760.09i −1.20432 + 1.01054i −0.204824 + 0.978799i \(0.565662\pi\)
−0.999496 + 0.0317460i \(0.989893\pi\)
\(282\) −4476.30 + 7753.18i −0.945248 + 1.63722i
\(283\) −2688.44 + 978.510i −0.564703 + 0.205535i −0.608567 0.793502i \(-0.708255\pi\)
0.0438642 + 0.999038i \(0.486033\pi\)
\(284\) 472.712 + 2680.88i 0.0987686 + 0.560144i
\(285\) 1481.15 + 2565.43i 0.307845 + 0.533203i
\(286\) 1112.99 1927.76i 0.230114 0.398570i
\(287\) 9246.04 + 3365.28i 1.90166 + 0.692148i
\(288\) 658.406 + 1140.39i 0.134712 + 0.233327i
\(289\) −2918.57 2448.97i −0.594051 0.498468i
\(290\) 852.952 0.172714
\(291\) −9626.92 8077.95i −1.93931 1.62728i
\(292\) 2019.83 735.158i 0.404800 0.147335i
\(293\) −291.553 + 1653.48i −0.0581321 + 0.329684i −0.999980 0.00635641i \(-0.997977\pi\)
0.941848 + 0.336040i \(0.109088\pi\)
\(294\) 1335.63 + 7574.71i 0.264950 + 1.50261i
\(295\) 394.749 0.0779090
\(296\) 1510.69 + 979.596i 0.296645 + 0.192358i
\(297\) −3456.85 −0.675376
\(298\) 511.802 + 2902.57i 0.0994895 + 0.564233i
\(299\) 1028.90 5835.18i 0.199006 1.12862i
\(300\) −3618.21 + 1316.92i −0.696325 + 0.253441i
\(301\) −3500.07 2936.91i −0.670235 0.562394i
\(302\) 7276.74 1.38652
\(303\) 7967.21 + 6685.28i 1.51058 + 1.26752i
\(304\) 990.721 + 1715.98i 0.186914 + 0.323744i
\(305\) −2517.36 916.243i −0.472601 0.172013i
\(306\) −1366.71 + 2367.21i −0.255325 + 0.442236i
\(307\) −1709.22 2960.45i −0.317753 0.550364i 0.662266 0.749269i \(-0.269595\pi\)
−0.980019 + 0.198905i \(0.936262\pi\)
\(308\) −584.581 3315.32i −0.108148 0.613338i
\(309\) −2891.29 + 1052.34i −0.532297 + 0.193740i
\(310\) −105.661 + 183.010i −0.0193585 + 0.0335299i
\(311\) 109.131 91.5721i 0.0198980 0.0166964i −0.632784 0.774328i \(-0.718088\pi\)
0.652682 + 0.757632i \(0.273644\pi\)
\(312\) 1902.79 1596.63i 0.345271 0.289717i
\(313\) −4908.93 1786.71i −0.886484 0.322654i −0.141660 0.989915i \(-0.545244\pi\)
−0.744823 + 0.667262i \(0.767466\pi\)
\(314\) 397.838 2256.25i 0.0715010 0.405502i
\(315\) 588.862 3339.60i 0.105329 0.597350i
\(316\) 491.972 + 179.063i 0.0875810 + 0.0318769i
\(317\) −5954.24 + 4996.20i −1.05496 + 0.885220i −0.993607 0.112896i \(-0.963987\pi\)
−0.0613574 + 0.998116i \(0.519543\pi\)
\(318\) 50.3715 42.2667i 0.00888269 0.00745346i
\(319\) −2177.76 + 3771.99i −0.382229 + 0.662040i
\(320\) 174.261 63.4258i 0.0304421 0.0110800i
\(321\) −2393.85 13576.2i −0.416236 2.36059i
\(322\) −4480.48 7760.41i −0.775426 1.34308i
\(323\) −2056.52 + 3562.00i −0.354267 + 0.613608i
\(324\) 551.442 + 200.709i 0.0945546 + 0.0344151i
\(325\) 2192.79 + 3798.03i 0.374259 + 0.648236i
\(326\) 2329.35 + 1954.56i 0.395739 + 0.332065i
\(327\) 16406.6 2.77458
\(328\) −2120.21 1779.07i −0.356918 0.299489i
\(329\) 14491.3 5274.39i 2.42836 0.883850i
\(330\) −245.837 + 1394.21i −0.0410088 + 0.232572i
\(331\) −639.697 3627.90i −0.106226 0.602440i −0.990723 0.135894i \(-0.956609\pi\)
0.884497 0.466546i \(-0.154502\pi\)
\(332\) 1249.50 0.206551
\(333\) −9191.59 + 1134.92i −1.51260 + 0.186766i
\(334\) −3863.61 −0.632956
\(335\) 137.540 + 780.029i 0.0224317 + 0.127216i
\(336\) 652.318 3699.48i 0.105913 0.600664i
\(337\) 5687.10 2069.93i 0.919276 0.334589i 0.161325 0.986901i \(-0.448423\pi\)
0.757950 + 0.652312i \(0.226201\pi\)
\(338\) 1198.74 + 1005.86i 0.192908 + 0.161869i
\(339\) 4476.69 0.717228
\(340\) 294.884 + 247.437i 0.0470362 + 0.0394681i
\(341\) −539.546 934.522i −0.0856835 0.148408i
\(342\) −9577.47 3485.91i −1.51430 0.551160i
\(343\) 1747.02 3025.93i 0.275015 0.476340i
\(344\) 642.610 + 1113.03i 0.100719 + 0.174450i
\(345\) 654.376 + 3711.15i 0.102117 + 0.579135i
\(346\) −1133.95 + 412.724i −0.176189 + 0.0641276i
\(347\) 4563.95 7904.99i 0.706068 1.22295i −0.260237 0.965545i \(-0.583801\pi\)
0.966305 0.257401i \(-0.0828660\pi\)
\(348\) −3723.13 + 3124.08i −0.573508 + 0.481230i
\(349\) 6227.76 5225.71i 0.955199 0.801507i −0.0249661 0.999688i \(-0.507948\pi\)
0.980165 + 0.198181i \(0.0635033\pi\)
\(350\) 6232.54 + 2268.46i 0.951837 + 0.346441i
\(351\) −762.931 + 4326.79i −0.116018 + 0.657969i
\(352\) −164.437 + 932.568i −0.0248992 + 0.141210i
\(353\) −8409.90 3060.95i −1.26803 0.461524i −0.381572 0.924339i \(-0.624617\pi\)
−0.886455 + 0.462815i \(0.846840\pi\)
\(354\) −1723.08 + 1445.83i −0.258702 + 0.217077i
\(355\) −1510.62 + 1267.56i −0.225846 + 0.189507i
\(356\) 654.935 1134.38i 0.0975042 0.168882i
\(357\) 7327.53 2667.00i 1.08631 0.395386i
\(358\) 541.499 + 3070.99i 0.0799416 + 0.453371i
\(359\) 274.806 + 475.977i 0.0404003 + 0.0699753i 0.885518 0.464604i \(-0.153803\pi\)
−0.845118 + 0.534579i \(0.820470\pi\)
\(360\) −476.944 + 826.092i −0.0698255 + 0.120941i
\(361\) −7966.12 2899.43i −1.16141 0.422719i
\(362\) 1676.27 + 2903.38i 0.243377 + 0.421542i
\(363\) 2879.25 + 2415.98i 0.416313 + 0.349328i
\(364\) −4278.67 −0.616108
\(365\) 1192.77 + 1000.85i 0.171048 + 0.143526i
\(366\) 14344.1 5220.84i 2.04858 0.745622i
\(367\) −232.811 + 1320.33i −0.0331134 + 0.187795i −0.996878 0.0789594i \(-0.974840\pi\)
0.963764 + 0.266755i \(0.0859514\pi\)
\(368\) 437.703 + 2482.34i 0.0620023 + 0.351632i
\(369\) 14236.7 2.00849
\(370\) −67.3762 + 1302.53i −0.00946682 + 0.183014i
\(371\) −113.267 −0.0158504
\(372\) −209.095 1185.84i −0.0291427 0.165276i
\(373\) −1494.58 + 8476.17i −0.207470 + 1.17662i 0.686036 + 0.727568i \(0.259349\pi\)
−0.893506 + 0.449052i \(0.851762\pi\)
\(374\) −1847.13 + 672.300i −0.255382 + 0.0929514i
\(375\) −4427.17 3714.84i −0.609649 0.511556i
\(376\) −4337.86 −0.594968
\(377\) 4240.61 + 3558.29i 0.579316 + 0.486104i
\(378\) 3322.28 + 5754.36i 0.452063 + 0.782996i
\(379\) −4725.46 1719.93i −0.640450 0.233105i 0.00132310 0.999999i \(-0.499579\pi\)
−0.641773 + 0.766894i \(0.721801\pi\)
\(380\) −717.671 + 1243.04i −0.0968836 + 0.167807i
\(381\) 10164.0 + 17604.5i 1.36671 + 2.36721i
\(382\) 551.353 + 3126.88i 0.0738473 + 0.418809i
\(383\) −5670.44 + 2063.87i −0.756517 + 0.275350i −0.691345 0.722524i \(-0.742982\pi\)
−0.0651716 + 0.997874i \(0.520759\pi\)
\(384\) −528.341 + 915.113i −0.0702129 + 0.121612i
\(385\) 1868.11 1567.53i 0.247293 0.207503i
\(386\) −1839.89 + 1543.85i −0.242612 + 0.203575i
\(387\) −6212.22 2261.06i −0.815981 0.296993i
\(388\) 1057.38 5996.68i 0.138351 0.784627i
\(389\) 1332.02 7554.29i 0.173615 0.984621i −0.766115 0.642704i \(-0.777813\pi\)
0.939730 0.341917i \(-0.111076\pi\)
\(390\) 1690.82 + 615.409i 0.219533 + 0.0799037i
\(391\) −4008.16 + 3363.25i −0.518418 + 0.435005i
\(392\) −2854.92 + 2395.57i −0.367846 + 0.308659i
\(393\) 6417.95 11116.2i 0.823772 1.42682i
\(394\) 7549.00 2747.61i 0.965262 0.351326i
\(395\) 65.8566 + 373.491i 0.00838887 + 0.0475757i
\(396\) −2435.47 4218.36i −0.309058 0.535304i
\(397\) −1355.17 + 2347.22i −0.171320 + 0.296734i −0.938881 0.344241i \(-0.888136\pi\)
0.767562 + 0.640975i \(0.221470\pi\)
\(398\) −5512.42 2006.36i −0.694253 0.252688i
\(399\) 14537.9 + 25180.3i 1.82407 + 3.15938i
\(400\) −1429.18 1199.23i −0.178648 0.149903i
\(401\) 8251.53 1.02759 0.513793 0.857914i \(-0.328240\pi\)
0.513793 + 0.857914i \(0.328240\pi\)
\(402\) −3457.35 2901.06i −0.428947 0.359929i
\(403\) −1288.78 + 469.078i −0.159302 + 0.0579812i
\(404\) −875.082 + 4962.83i −0.107765 + 0.611164i
\(405\) 73.8174 + 418.639i 0.00905683 + 0.0513638i
\(406\) 8371.93 1.02338
\(407\) −5588.10 3623.57i −0.680570 0.441311i
\(408\) −2193.44 −0.266156
\(409\) 1997.86 + 11330.4i 0.241535 + 1.36981i 0.828403 + 0.560132i \(0.189250\pi\)
−0.586868 + 0.809683i \(0.699639\pi\)
\(410\) 348.152 1974.47i 0.0419366 0.237834i
\(411\) −23575.5 + 8580.79i −2.82943 + 1.02983i
\(412\) −1142.05 958.296i −0.136565 0.114592i
\(413\) 3874.55 0.461633
\(414\) −9932.22 8334.13i −1.17909 0.989372i
\(415\) 452.563 + 783.863i 0.0535312 + 0.0927188i
\(416\) 1130.97 + 411.638i 0.133294 + 0.0485149i
\(417\) −2375.23 + 4114.03i −0.278935 + 0.483129i
\(418\) −3664.72 6347.48i −0.428821 0.742740i
\(419\) 714.936 + 4054.60i 0.0833578 + 0.472746i 0.997699 + 0.0678007i \(0.0215982\pi\)
−0.914341 + 0.404945i \(0.867291\pi\)
\(420\) 2557.11 930.712i 0.297081 0.108129i
\(421\) −2437.92 + 4222.60i −0.282226 + 0.488829i −0.971933 0.235259i \(-0.924406\pi\)
0.689707 + 0.724089i \(0.257739\pi\)
\(422\) 5125.40 4300.72i 0.591234 0.496104i
\(423\) 17092.8 14342.5i 1.96473 1.64860i
\(424\) 29.9394 + 10.8970i 0.00342921 + 0.00124813i
\(425\) 672.491 3813.89i 0.0767544 0.435296i
\(426\) 1951.19 11065.8i 0.221915 1.25854i
\(427\) −24708.5 8993.15i −2.80030 1.01922i
\(428\) 5116.90 4293.59i 0.577885 0.484903i
\(429\) −7038.51 + 5906.01i −0.792127 + 0.664673i
\(430\) −465.502 + 806.273i −0.0522058 + 0.0904231i
\(431\) −11430.4 + 4160.32i −1.27745 + 0.464955i −0.889589 0.456762i \(-0.849009\pi\)
−0.387864 + 0.921717i \(0.626787\pi\)
\(432\) −324.557 1840.66i −0.0361465 0.204997i
\(433\) −4738.82 8207.88i −0.525943 0.910960i −0.999543 0.0302201i \(-0.990379\pi\)
0.473600 0.880740i \(-0.342954\pi\)
\(434\) −1037.09 + 1796.29i −0.114704 + 0.198674i
\(435\) −3308.37 1204.15i −0.364654 0.132723i
\(436\) 3974.80 + 6884.56i 0.436602 + 0.756217i
\(437\) −14945.3 12540.6i −1.63600 1.37276i
\(438\) −8872.23 −0.967881
\(439\) 9796.21 + 8219.99i 1.06503 + 0.893665i 0.994593 0.103851i \(-0.0331166\pi\)
0.0704357 + 0.997516i \(0.477561\pi\)
\(440\) −644.598 + 234.615i −0.0698409 + 0.0254200i
\(441\) 3328.85 18878.9i 0.359448 2.03853i
\(442\) 433.827 + 2460.35i 0.0466856 + 0.264767i
\(443\) 1830.38 0.196307 0.0981534 0.995171i \(-0.468706\pi\)
0.0981534 + 0.995171i \(0.468706\pi\)
\(444\) −4476.62 5932.30i −0.478493 0.634087i
\(445\) 948.861 0.101079
\(446\) 933.229 + 5292.61i 0.0990800 + 0.561911i
\(447\) 2112.54 11980.8i 0.223534 1.26773i
\(448\) 1710.41 622.540i 0.180378 0.0656523i
\(449\) 8192.48 + 6874.31i 0.861085 + 0.722536i 0.962202 0.272338i \(-0.0877970\pi\)
−0.101117 + 0.994875i \(0.532241\pi\)
\(450\) 9596.60 1.00531
\(451\) 7842.74 + 6580.84i 0.818847 + 0.687095i
\(452\) 1084.56 + 1878.51i 0.112861 + 0.195481i
\(453\) −28224.5 10272.9i −2.92738 1.06548i
\(454\) 5250.11 9093.46i 0.542731 0.940038i
\(455\) −1549.72 2684.19i −0.159675 0.276565i
\(456\) −1420.22 8054.47i −0.145851 0.827160i
\(457\) 11925.2 4340.43i 1.22065 0.444282i 0.350267 0.936650i \(-0.386091\pi\)
0.870387 + 0.492368i \(0.163869\pi\)
\(458\) 857.712 1485.60i 0.0875071 0.151567i
\(459\) 2972.06 2493.86i 0.302231 0.253602i
\(460\) −1398.74 + 1173.68i −0.141775 + 0.118964i
\(461\) −3191.48 1161.60i −0.322434 0.117356i 0.175732 0.984438i \(-0.443771\pi\)
−0.498166 + 0.867082i \(0.665993\pi\)
\(462\) −2412.95 + 13684.5i −0.242989 + 1.37806i
\(463\) −3211.44 + 18213.0i −0.322350 + 1.82814i 0.205325 + 0.978694i \(0.434175\pi\)
−0.527676 + 0.849446i \(0.676936\pi\)
\(464\) −2212.92 805.438i −0.221406 0.0805851i
\(465\) 668.193 560.681i 0.0666381 0.0559160i
\(466\) 6846.21 5744.65i 0.680567 0.571064i
\(467\) −3456.03 + 5986.02i −0.342454 + 0.593148i −0.984888 0.173193i \(-0.944591\pi\)
0.642434 + 0.766341i \(0.277925\pi\)
\(468\) −5817.45 + 2117.38i −0.574598 + 0.209137i
\(469\) 1349.99 + 7656.17i 0.132914 + 0.753794i
\(470\) −1571.16 2721.32i −0.154196 0.267075i
\(471\) −4728.36 + 8189.76i −0.462572 + 0.801197i
\(472\) −1024.15 372.759i −0.0998732 0.0363509i
\(473\) −2377.04 4117.15i −0.231071 0.400226i
\(474\) −1655.44 1389.08i −0.160415 0.134604i
\(475\) 14440.3 1.39487
\(476\) 2894.36 + 2428.65i 0.278703 + 0.233859i
\(477\) −154.002 + 56.0521i −0.0147825 + 0.00538040i
\(478\) −654.490 + 3711.80i −0.0626270 + 0.355175i
\(479\) −69.3714 393.425i −0.00661724 0.0375282i 0.981320 0.192381i \(-0.0616209\pi\)
−0.987938 + 0.154853i \(0.950510\pi\)
\(480\) −765.452 −0.0727874
\(481\) −5768.77 + 6194.67i −0.546847 + 0.587220i
\(482\) −3157.17 −0.298351
\(483\) 6422.86 + 36425.9i 0.605073 + 3.43154i
\(484\) −316.244 + 1793.51i −0.0296998 + 0.168436i
\(485\) 4144.95 1508.64i 0.388067 0.141245i
\(486\) −6687.79 5611.73i −0.624207 0.523772i
\(487\) −4344.99 −0.404292 −0.202146 0.979355i \(-0.564792\pi\)
−0.202146 + 0.979355i \(0.564792\pi\)
\(488\) 5665.90 + 4754.25i 0.525580 + 0.441014i
\(489\) −6275.61 10869.7i −0.580353 1.00520i
\(490\) −2536.88 923.351i −0.233887 0.0851280i
\(491\) 6635.29 11492.7i 0.609871 1.05633i −0.381390 0.924414i \(-0.624555\pi\)
0.991261 0.131913i \(-0.0421120\pi\)
\(492\) 5712.14 + 9893.71i 0.523421 + 0.906592i
\(493\) −848.854 4814.09i −0.0775466 0.439789i
\(494\) −8753.68 + 3186.08i −0.797261 + 0.290179i
\(495\) 1764.24 3055.75i 0.160195 0.277466i
\(496\) 446.945 375.031i 0.0404605 0.0339504i
\(497\) −14827.1 + 12441.4i −1.33820 + 1.12288i
\(498\) −4846.46 1763.97i −0.436095 0.158726i
\(499\) 1972.72 11187.9i 0.176976 1.00368i −0.758861 0.651252i \(-0.774244\pi\)
0.935838 0.352431i \(-0.114645\pi\)
\(500\) 486.260 2757.72i 0.0434924 0.246658i
\(501\) 14985.9 + 5454.42i 1.33637 + 0.486399i
\(502\) −4144.08 + 3477.29i −0.368445 + 0.309162i
\(503\) 5612.10 4709.11i 0.497478 0.417433i −0.359219 0.933253i \(-0.616957\pi\)
0.856697 + 0.515820i \(0.172513\pi\)
\(504\) −4681.33 + 8108.29i −0.413736 + 0.716611i
\(505\) −3430.35 + 1248.54i −0.302274 + 0.110019i
\(506\) −1619.08 9182.26i −0.142247 0.806722i
\(507\) −3229.57 5593.78i −0.282900 0.489997i
\(508\) −4924.81 + 8530.01i −0.430124 + 0.744996i
\(509\) −5035.18 1832.66i −0.438469 0.159590i 0.113347 0.993555i \(-0.463843\pi\)
−0.551816 + 0.833966i \(0.686065\pi\)
\(510\) −794.458 1376.04i −0.0689788 0.119475i
\(511\) 11707.3 + 9823.63i 1.01351 + 0.850434i
\(512\) −512.000 −0.0441942
\(513\) 11082.0 + 9298.87i 0.953763 + 0.800302i
\(514\) 5644.44 2054.41i 0.484369 0.176296i
\(515\) 187.533 1063.55i 0.0160460 0.0910012i
\(516\) −921.195 5224.36i −0.0785918 0.445716i
\(517\) 16045.9 1.36499
\(518\) −661.314 + 12784.6i −0.0560936 + 1.08441i
\(519\) 4980.95 0.421270
\(520\) 151.394 + 858.597i 0.0127674 + 0.0724076i
\(521\) −2073.02 + 11756.7i −0.174320 + 0.988619i 0.764605 + 0.644499i \(0.222934\pi\)
−0.938926 + 0.344120i \(0.888177\pi\)
\(522\) 11382.8 4143.01i 0.954429 0.347384i
\(523\) 12684.6 + 10643.7i 1.06053 + 0.889894i 0.994162 0.107901i \(-0.0344128\pi\)
0.0663730 + 0.997795i \(0.478857\pi\)
\(524\) 6219.45 0.518508
\(525\) −20971.9 17597.5i −1.74340 1.46289i
\(526\) 919.544 + 1592.70i 0.0762243 + 0.132024i
\(527\) 1138.07 + 414.223i 0.0940702 + 0.0342388i
\(528\) 1954.35 3385.04i 0.161084 0.279006i
\(529\) −6325.82 10956.6i −0.519916 0.900521i
\(530\) 4.00776 + 22.7291i 0.000328464 + 0.00186281i
\(531\) 5268.00 1917.39i 0.430530 0.156700i
\(532\) −7044.12 + 12200.8i −0.574063 + 0.994305i
\(533\) 9967.87 8364.03i 0.810049 0.679712i
\(534\) −4141.77 + 3475.36i −0.335641 + 0.281636i
\(535\) 4546.87 + 1654.93i 0.367436 + 0.133736i
\(536\) 379.739 2153.61i 0.0306012 0.173548i
\(537\) 2235.12 12676.0i 0.179614 1.01864i
\(538\) 757.397 + 275.670i 0.0606946 + 0.0220910i
\(539\) 10560.5 8861.30i 0.843919 0.708132i
\(540\) 1037.17 870.288i 0.0826530 0.0693541i
\(541\) 8288.48 14356.1i 0.658687 1.14088i −0.322269 0.946648i \(-0.604446\pi\)
0.980956 0.194231i \(-0.0622211\pi\)
\(542\) −7697.52 + 2801.67i −0.610031 + 0.222033i
\(543\) −2402.96 13627.9i −0.189910 1.07703i
\(544\) −531.401 920.414i −0.0418817 0.0725412i
\(545\) −2879.32 + 4987.12i −0.226305 + 0.391972i
\(546\) 16595.8 + 6040.39i 1.30080 + 0.473452i
\(547\) 3704.76 + 6416.83i 0.289587 + 0.501579i 0.973711 0.227786i \(-0.0731488\pi\)
−0.684124 + 0.729365i \(0.739815\pi\)
\(548\) −9312.27 7813.92i −0.725913 0.609113i
\(549\) −38045.0 −2.95760
\(550\) 5286.60 + 4435.99i 0.409857 + 0.343911i
\(551\) 17128.0 6234.09i 1.32428 0.481999i
\(552\) 1806.69 10246.2i 0.139308 0.790052i
\(553\) 646.399 + 3665.91i 0.0497065 + 0.281899i
\(554\) −4713.80 −0.361498
\(555\) 2100.17 4957.03i 0.160625 0.379125i
\(556\) −2301.77 −0.175570
\(557\) 281.712 + 1597.67i 0.0214300 + 0.121536i 0.993646 0.112549i \(-0.0359017\pi\)
−0.972216 + 0.234085i \(0.924791\pi\)
\(558\) −521.139 + 2955.53i −0.0395369 + 0.224225i
\(559\) −5677.89 + 2066.58i −0.429605 + 0.156363i
\(560\) 1010.05 + 847.534i 0.0762187 + 0.0639551i
\(561\) 8113.64 0.610621
\(562\) 11345.7 + 9520.18i 0.851583 + 0.714563i
\(563\) −11694.8 20256.1i −0.875451 1.51633i −0.856281 0.516510i \(-0.827231\pi\)
−0.0191701 0.999816i \(-0.506102\pi\)
\(564\) 16825.4 + 6123.94i 1.25616 + 0.457207i
\(565\) −785.646 + 1360.78i −0.0584998 + 0.101325i
\(566\) 2860.97 + 4955.35i 0.212466 + 0.368002i
\(567\) 724.536 + 4109.05i 0.0536643 + 0.304345i
\(568\) 5116.13 1862.12i 0.377937 0.137558i
\(569\) −7409.29 + 12833.3i −0.545894 + 0.945516i 0.452656 + 0.891685i \(0.350476\pi\)
−0.998550 + 0.0538308i \(0.982857\pi\)
\(570\) 4538.51 3808.26i 0.333504 0.279843i
\(571\) 538.204 451.607i 0.0394451 0.0330983i −0.622852 0.782340i \(-0.714026\pi\)
0.662297 + 0.749241i \(0.269582\pi\)
\(572\) −4183.49 1522.67i −0.305805 0.111304i
\(573\) 2275.80 12906.7i 0.165921 0.940986i
\(574\) 3417.20 19379.9i 0.248486 1.40924i
\(575\) 17261.9 + 6282.82i 1.25195 + 0.455672i
\(576\) 2017.47 1692.86i 0.145940 0.122458i
\(577\) 5602.45 4701.02i 0.404217 0.339178i −0.417904 0.908491i \(-0.637235\pi\)
0.822121 + 0.569313i \(0.192791\pi\)
\(578\) −3809.92 + 6598.98i −0.274173 + 0.474882i
\(579\) 9315.98 3390.74i 0.668669 0.243375i
\(580\) −296.227 1679.99i −0.0212072 0.120272i
\(581\) 4442.02 + 7693.80i 0.317188 + 0.549385i
\(582\) −12567.1 + 21766.8i −0.895054 + 1.55028i
\(583\) −110.747 40.3086i −0.00786736 0.00286349i
\(584\) −2149.46 3722.97i −0.152303 0.263797i
\(585\) −3435.38 2882.63i −0.242796 0.203730i
\(586\) 3357.98 0.236718
\(587\) −16398.8 13760.2i −1.15307 0.967537i −0.153278 0.988183i \(-0.548983\pi\)
−0.999787 + 0.0206465i \(0.993428\pi\)
\(588\) 14455.4 5261.34i 1.01383 0.369003i
\(589\) −784.172 + 4447.26i −0.0548578 + 0.311114i
\(590\) −137.095 777.503i −0.00956627 0.0542530i
\(591\) −33159.5 −2.30795
\(592\) 1404.77 3315.69i 0.0975266 0.230192i
\(593\) 14057.1 0.973453 0.486726 0.873555i \(-0.338191\pi\)
0.486726 + 0.873555i \(0.338191\pi\)
\(594\) 1200.55 + 6808.66i 0.0829279 + 0.470308i
\(595\) −475.272 + 2695.40i −0.0327466 + 0.185715i
\(596\) 5539.20 2016.11i 0.380696 0.138562i
\(597\) 18548.8 + 15564.3i 1.27161 + 1.06701i
\(598\) −11850.4 −0.810365
\(599\) −13438.3 11276.1i −0.916654 0.769164i 0.0567190 0.998390i \(-0.481936\pi\)
−0.973373 + 0.229226i \(0.926381\pi\)
\(600\) 3850.42 + 6669.12i 0.261988 + 0.453776i
\(601\) 5332.54 + 1940.88i 0.361928 + 0.131731i 0.516582 0.856238i \(-0.327204\pi\)
−0.154654 + 0.987969i \(0.549426\pi\)
\(602\) −4569.02 + 7913.77i −0.309334 + 0.535783i
\(603\) 5624.30 + 9741.57i 0.379833 + 0.657890i
\(604\) −2527.19 14332.4i −0.170248 0.965524i
\(605\) −1239.69 + 451.209i −0.0833065 + 0.0303211i
\(606\) 10400.5 18014.1i 0.697178 1.20755i
\(607\) −7498.00 + 6291.57i −0.501374 + 0.420703i −0.858082 0.513513i \(-0.828344\pi\)
0.356707 + 0.934216i \(0.383899\pi\)
\(608\) 3035.74 2547.29i 0.202493 0.169912i
\(609\) −32472.5 11819.0i −2.16068 0.786421i
\(610\) −930.377 + 5276.43i −0.0617539 + 0.350224i
\(611\) 3541.35 20084.0i 0.234481 1.32981i
\(612\) 5137.15 + 1869.77i 0.339309 + 0.123498i
\(613\) −6721.27 + 5639.82i −0.442854 + 0.371599i −0.836776 0.547545i \(-0.815562\pi\)
0.393922 + 0.919144i \(0.371118\pi\)
\(614\) −5237.34 + 4394.65i −0.344238 + 0.288850i
\(615\) −4137.83 + 7166.94i −0.271307 + 0.469917i
\(616\) −6326.89 + 2302.80i −0.413827 + 0.150621i
\(617\) −984.095 5581.08i −0.0642110 0.364159i −0.999935 0.0114250i \(-0.996363\pi\)
0.935724 0.352734i \(-0.114748\pi\)
\(618\) 3076.85 + 5329.26i 0.200274 + 0.346884i
\(619\) −3426.68 + 5935.19i −0.222504 + 0.385388i −0.955568 0.294772i \(-0.904756\pi\)
0.733064 + 0.680160i \(0.238090\pi\)
\(620\) 397.155 + 144.552i 0.0257260 + 0.00936350i
\(621\) 9201.53 + 15937.5i 0.594597 + 1.02987i
\(622\) −218.263 183.144i −0.0140700 0.0118061i
\(623\) 9313.30 0.598924
\(624\) −3805.59 3193.27i −0.244143 0.204861i
\(625\) −11790.3 + 4291.33i −0.754582 + 0.274645i
\(626\) −1814.27 + 10289.2i −0.115835 + 0.656933i
\(627\) 5253.45 + 29793.8i 0.334613 + 1.89769i
\(628\) −4582.12 −0.291157
\(629\) 7418.56 915.995i 0.470266 0.0580654i
\(630\) −6782.24 −0.428906
\(631\) −2560.21 14519.7i −0.161522 0.916037i −0.952578 0.304294i \(-0.901580\pi\)
0.791056 0.611744i \(-0.209532\pi\)
\(632\) 181.826 1031.18i 0.0114440 0.0649024i
\(633\) −25951.6 + 9445.61i −1.62952 + 0.593095i
\(634\) 11908.5 + 9992.41i 0.745972 + 0.625945i
\(635\) −7134.99 −0.445895
\(636\) −100.743 84.5334i −0.00628101 0.00527039i
\(637\) −8760.61 15173.8i −0.544911 0.943813i
\(638\) 8185.69 + 2979.35i 0.507954 + 0.184880i
\(639\) −14002.6 + 24253.3i −0.866879 + 1.50148i
\(640\) −185.445 321.199i −0.0114537 0.0198383i
\(641\) 641.505 + 3638.15i 0.0395287 + 0.224179i 0.998172 0.0604305i \(-0.0192473\pi\)
−0.958644 + 0.284609i \(0.908136\pi\)
\(642\) −25908.5 + 9429.93i −1.59272 + 0.579704i
\(643\) 6087.01 10543.0i 0.373326 0.646619i −0.616749 0.787160i \(-0.711551\pi\)
0.990075 + 0.140541i \(0.0448841\pi\)
\(644\) −13729.0 + 11520.0i −0.840058 + 0.704893i
\(645\) 2943.81 2470.15i 0.179709 0.150794i
\(646\) 7730.00 + 2813.49i 0.470794 + 0.171355i
\(647\) −107.010 + 606.881i −0.00650229 + 0.0368763i −0.987886 0.155180i \(-0.950404\pi\)
0.981384 + 0.192056i \(0.0615155\pi\)
\(648\) 203.805 1155.83i 0.0123553 0.0700702i
\(649\) 3788.36 + 1378.85i 0.229131 + 0.0833969i
\(650\) 6719.10 5638.00i 0.405454 0.340216i
\(651\) 6558.48 5503.22i 0.394849 0.331318i
\(652\) 3040.76 5266.74i 0.182646 0.316352i
\(653\) 6752.05 2457.54i 0.404637 0.147276i −0.131680 0.991292i \(-0.542037\pi\)
0.536317 + 0.844016i \(0.319815\pi\)
\(654\) −5697.96 32314.8i −0.340685 1.93212i
\(655\) 2252.66 + 3901.73i 0.134380 + 0.232753i
\(656\) −2767.74 + 4793.86i −0.164729 + 0.285318i
\(657\) 20779.2 + 7563.00i 1.23390 + 0.449103i
\(658\) −15421.3 26710.5i −0.913654 1.58250i
\(659\) 13727.7 + 11518.9i 0.811465 + 0.680900i 0.950957 0.309323i \(-0.100102\pi\)
−0.139492 + 0.990223i \(0.544547\pi\)
\(660\) 2831.44 0.166990
\(661\) −1507.05 1264.57i −0.0886801 0.0744115i 0.597370 0.801966i \(-0.296212\pi\)
−0.686050 + 0.727554i \(0.740657\pi\)
\(662\) −6923.41 + 2519.91i −0.406474 + 0.147945i
\(663\) 1790.69 10155.5i 0.104894 0.594883i
\(664\) −433.946 2461.03i −0.0253620 0.143835i
\(665\) −10205.4 −0.595112
\(666\) 5427.56 + 17709.7i 0.315786 + 1.03039i
\(667\) 23187.2 1.34605
\(668\) 1341.82 + 7609.82i 0.0777193 + 0.440768i
\(669\) 3852.06 21846.1i 0.222614 1.26251i
\(670\) 1488.59 541.802i 0.0858347 0.0312413i
\(671\) −20958.4 17586.2i −1.20580 1.01178i
\(672\) −7513.10 −0.431286
\(673\) −4282.27 3593.25i −0.245274 0.205810i 0.511860 0.859069i \(-0.328957\pi\)
−0.757134 + 0.653259i \(0.773401\pi\)
\(674\) −6052.08 10482.5i −0.345872 0.599067i
\(675\) −12799.7 4658.72i −0.729869 0.265651i
\(676\) 1564.84 2710.39i 0.0890329 0.154209i
\(677\) −950.490 1646.30i −0.0539591 0.0934599i 0.837784 0.546002i \(-0.183851\pi\)
−0.891743 + 0.452542i \(0.850517\pi\)
\(678\) −1554.74 8817.35i −0.0880668 0.499452i
\(679\) 40683.7 14807.7i 2.29941 0.836916i
\(680\) 384.943 666.741i 0.0217087 0.0376005i
\(681\) −33201.4 + 27859.3i −1.86825 + 1.56765i
\(682\) −1653.27 + 1387.26i −0.0928253 + 0.0778897i
\(683\) −15278.8 5561.03i −0.855969 0.311547i −0.123497 0.992345i \(-0.539411\pi\)
−0.732472 + 0.680798i \(0.761633\pi\)
\(684\) −3539.69 + 20074.6i −0.197870 + 1.12218i
\(685\) 1529.14 8672.16i 0.0852923 0.483717i
\(686\) −6566.65 2390.06i −0.365475 0.133022i
\(687\) −5424.13 + 4551.38i −0.301227 + 0.252760i
\(688\) 1969.07 1652.25i 0.109114 0.0915571i
\(689\) −74.8946 + 129.721i −0.00414116 + 0.00717270i
\(690\) 7082.28 2577.74i 0.390750 0.142222i
\(691\) 3057.73 + 17341.2i 0.168338 + 0.954692i 0.945556 + 0.325460i \(0.105519\pi\)
−0.777218 + 0.629232i \(0.783370\pi\)
\(692\) 1206.72 + 2090.11i 0.0662901 + 0.114818i
\(693\) 17316.4 29992.9i 0.949201 1.64406i
\(694\) −17154.8 6243.85i −0.938312 0.341518i
\(695\) −833.694 1444.00i −0.0455019 0.0788116i
\(696\) 7446.26 + 6248.15i 0.405531 + 0.340281i
\(697\) −11490.5 −0.624436
\(698\) −12455.5 10451.4i −0.675428 0.566751i
\(699\) −34664.6 + 12616.9i −1.87573 + 0.682710i
\(700\) 2303.45 13063.5i 0.124375 0.705364i
\(701\) 113.256 + 642.305i 0.00610215 + 0.0346070i 0.987707 0.156318i \(-0.0499624\pi\)
−0.981605 + 0.190925i \(0.938851\pi\)
\(702\) 8787.09 0.472432
\(703\) 8166.99 + 26648.3i 0.438156 + 1.42967i
\(704\) 1893.91 0.101391
\(705\) 2252.29 + 12773.4i 0.120321 + 0.682372i
\(706\) −3108.17 + 17627.3i −0.165691 + 0.939679i
\(707\) −33669.7 + 12254.8i −1.79106 + 0.651893i
\(708\) 3446.15 + 2891.66i 0.182930 + 0.153496i
\(709\) 30921.8 1.63793 0.818966 0.573842i \(-0.194548\pi\)
0.818966 + 0.573842i \(0.194548\pi\)
\(710\) 3021.23 + 2535.12i 0.159697 + 0.134002i
\(711\) 2693.01 + 4664.44i 0.142048 + 0.246034i
\(712\) −2461.75 896.004i −0.129576 0.0471618i
\(713\) −2872.36 + 4975.07i −0.150871 + 0.261315i
\(714\) −7797.80 13506.2i −0.408719 0.707922i
\(715\) −560.012 3175.98i −0.0292913 0.166119i
\(716\) 5860.61 2133.09i 0.305896 0.111337i
\(717\) 7778.70 13473.1i 0.405162 0.701760i
\(718\) 842.054 706.567i 0.0437676 0.0367254i
\(719\) 5220.41 4380.44i 0.270777 0.227209i −0.497281 0.867590i \(-0.665668\pi\)
0.768057 + 0.640381i \(0.221224\pi\)
\(720\) 1792.72 + 652.498i 0.0927929 + 0.0337739i
\(721\) 1840.68 10439.0i 0.0950769 0.539208i
\(722\) −2944.16 + 16697.2i −0.151759 + 0.860671i
\(723\) 12245.8 + 4457.12i 0.629913 + 0.229270i
\(724\) 5136.38 4309.93i 0.263663 0.221240i
\(725\) −13147.0 + 11031.7i −0.673474 + 0.565112i
\(726\) 3758.60 6510.09i 0.192141 0.332799i
\(727\) 4172.97 1518.84i 0.212884 0.0774835i −0.233377 0.972386i \(-0.574978\pi\)
0.446261 + 0.894903i \(0.352755\pi\)
\(728\) 1485.97 + 8427.34i 0.0756506 + 0.429036i
\(729\) 16037.3 + 27777.4i 0.814779 + 1.41124i
\(730\) 1557.05 2696.89i 0.0789440 0.136735i
\(731\) 5013.90 + 1824.91i 0.253688 + 0.0923348i
\(732\) −15264.7 26439.3i −0.770765 1.33500i
\(733\) −15377.3 12903.1i −0.774864 0.650188i 0.167086 0.985942i \(-0.446564\pi\)
−0.941949 + 0.335755i \(0.891009\pi\)
\(734\) 2681.41 0.134840
\(735\) 8536.36 + 7162.86i 0.428393 + 0.359464i
\(736\) 4737.23 1724.21i 0.237251 0.0863523i
\(737\) −1404.67 + 7966.28i −0.0702058 + 0.398157i
\(738\) −4944.34 28040.8i −0.246617 1.39864i
\(739\) 26282.3 1.30827 0.654133 0.756379i \(-0.273033\pi\)
0.654133 + 0.756379i \(0.273033\pi\)
\(740\) 2588.88 319.657i 0.128607 0.0158795i
\(741\) 38451.1 1.90626
\(742\) 39.3371 + 223.092i 0.00194624 + 0.0110377i
\(743\) 5523.96 31327.9i 0.272752 1.54685i −0.473263 0.880921i \(-0.656924\pi\)
0.746014 0.665930i \(-0.231965\pi\)
\(744\) −2263.03 + 823.674i −0.111514 + 0.0405878i
\(745\) 3271.07 + 2744.75i 0.160863 + 0.134980i
\(746\) 17213.9 0.844831
\(747\) 9846.97 + 8262.59i 0.482305 + 0.404702i
\(748\) 1965.67 + 3404.65i 0.0960858 + 0.166426i
\(749\) 44628.7 + 16243.5i 2.17716 + 0.792423i
\(750\) −5779.26 + 10010.0i −0.281372 + 0.487350i
\(751\) −16840.6 29168.7i −0.818270 1.41729i −0.906956 0.421226i \(-0.861600\pi\)
0.0886859 0.996060i \(-0.471733\pi\)
\(752\) 1506.52 + 8543.91i 0.0730548 + 0.414314i
\(753\) 20982.8 7637.12i 1.01548 0.369604i
\(754\) 5535.72 9588.14i 0.267373 0.463103i
\(755\) 8075.98 6776.55i 0.389291 0.326654i
\(756\) 10180.1 8542.09i 0.489743 0.410943i
\(757\) 10733.5 + 3906.66i 0.515342 + 0.187569i 0.586582 0.809890i \(-0.300473\pi\)
−0.0712394 + 0.997459i \(0.522695\pi\)
\(758\) −1746.46 + 9904.67i −0.0836864 + 0.474609i
\(759\) −6683.01 + 37901.3i −0.319602 + 1.81255i
\(760\) 2697.56 + 981.832i 0.128751 + 0.0468616i
\(761\) −26431.5 + 22178.7i −1.25906 + 1.05647i −0.263276 + 0.964721i \(0.584803\pi\)
−0.995782 + 0.0917541i \(0.970753\pi\)
\(762\) 31144.2 26133.1i 1.48062 1.24239i
\(763\) −28261.2 + 48949.8i −1.34092 + 2.32255i
\(764\) 5967.26 2171.91i 0.282576 0.102849i
\(765\) 687.671 + 3899.97i 0.0325004 + 0.184319i
\(766\) 6034.36 + 10451.8i 0.284635 + 0.493002i
\(767\) 2561.95 4437.42i 0.120608 0.208900i
\(768\) 1985.91 + 722.813i 0.0933078 + 0.0339613i
\(769\) 9889.44 + 17129.0i 0.463748 + 0.803235i 0.999144 0.0413660i \(-0.0131710\pi\)
−0.535396 +