Properties

Label 29.3.f.a.14.2
Level $29$
Weight $3$
Character 29.14
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 14.2
Character \(\chi\) \(=\) 29.14
Dual form 29.3.f.a.27.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.170607 - 1.51418i) q^{2} +(2.08647 + 3.32060i) q^{3} +(1.63608 - 0.373424i) q^{4} +(-5.91405 - 4.71630i) q^{5} +(4.67202 - 3.72581i) q^{6} +(-1.42870 + 6.25955i) q^{7} +(-2.85762 - 8.16662i) q^{8} +(-2.76806 + 5.74794i) q^{9} +O(q^{10})\) \(q+(-0.170607 - 1.51418i) q^{2} +(2.08647 + 3.32060i) q^{3} +(1.63608 - 0.373424i) q^{4} +(-5.91405 - 4.71630i) q^{5} +(4.67202 - 3.72581i) q^{6} +(-1.42870 + 6.25955i) q^{7} +(-2.85762 - 8.16662i) q^{8} +(-2.76806 + 5.74794i) q^{9} +(-6.13235 + 9.75958i) q^{10} +(-5.33282 + 15.2403i) q^{11} +(4.65362 + 4.65362i) q^{12} +(-5.47235 - 11.3635i) q^{13} +(9.72184 + 1.09539i) q^{14} +(3.32144 - 29.4786i) q^{15} +(-5.83035 + 2.80775i) q^{16} +(11.5542 - 11.5542i) q^{17} +(9.17568 + 3.21071i) q^{18} +(12.1000 + 7.60291i) q^{19} +(-11.4370 - 5.50778i) q^{20} +(-23.7664 + 8.31623i) q^{21} +(23.9864 + 5.47475i) q^{22} +(-2.84328 - 3.56536i) q^{23} +(21.1557 - 26.5284i) q^{24} +(7.16951 + 31.4117i) q^{25} +(-16.2727 + 10.2248i) q^{26} +(10.2113 - 1.15053i) q^{27} +10.7746i q^{28} +(23.5053 + 16.9853i) q^{29} -45.2026 q^{30} +(-1.32747 - 11.7816i) q^{31} +(-13.1667 - 20.9547i) q^{32} +(-61.7338 + 14.0903i) q^{33} +(-19.4664 - 15.5239i) q^{34} +(37.9713 - 30.2811i) q^{35} +(-2.38235 + 10.4377i) q^{36} +(2.68961 + 7.68647i) q^{37} +(9.44783 - 19.6186i) q^{38} +(26.3156 - 41.8810i) q^{39} +(-21.6161 + 61.7752i) q^{40} +(10.8682 + 10.8682i) q^{41} +(16.6470 + 34.5678i) q^{42} +(-41.8092 - 4.71076i) q^{43} +(-3.03380 + 26.9258i) q^{44} +(43.4795 - 20.9386i) q^{45} +(-4.91352 + 4.91352i) q^{46} +(-28.2097 - 9.87101i) q^{47} +(-21.4883 - 13.5020i) q^{48} +(7.00665 + 3.37423i) q^{49} +(46.3398 - 16.2150i) q^{50} +(62.4744 + 14.2594i) q^{51} +(-13.1966 - 16.5480i) q^{52} +(-25.1303 + 31.5124i) q^{53} +(-3.48423 - 15.2654i) q^{54} +(103.417 - 64.9809i) q^{55} +(55.2021 - 6.21978i) q^{56} +56.0423i q^{57} +(21.7087 - 38.4890i) q^{58} -72.0544 q^{59} +(-5.57388 - 49.4696i) q^{60} +(-36.0211 - 57.3273i) q^{61} +(-17.6131 + 4.02006i) q^{62} +(-32.0248 - 25.5389i) q^{63} +(-49.7205 + 39.6508i) q^{64} +(-21.2297 + 93.0134i) q^{65} +(31.8675 + 91.0722i) q^{66} +(-40.9142 + 84.9592i) q^{67} +(14.5890 - 23.2182i) q^{68} +(5.90672 - 16.8804i) q^{69} +(-52.3293 - 52.3293i) q^{70} +(13.8330 + 28.7244i) q^{71} +(54.8514 + 6.18026i) q^{72} +(14.9474 - 132.662i) q^{73} +(11.1798 - 5.38392i) q^{74} +(-89.3466 + 89.3466i) q^{75} +(22.6356 + 7.92053i) q^{76} +(-87.7787 - 55.1550i) q^{77} +(-67.9050 - 32.7013i) q^{78} +(82.9084 - 29.0109i) q^{79} +(47.7232 + 10.8925i) q^{80} +(60.9253 + 76.3979i) q^{81} +(14.6022 - 18.3106i) q^{82} +(-14.4328 - 63.2343i) q^{83} +(-35.7782 + 22.4809i) q^{84} +(-122.825 + 13.8391i) q^{85} +64.1103i q^{86} +(-7.35846 + 113.491i) q^{87} +139.701 q^{88} +(10.8152 + 95.9875i) q^{89} +(-39.1228 - 62.2635i) q^{90} +(78.9486 - 18.0195i) q^{91} +(-5.98322 - 4.77146i) q^{92} +(36.3524 - 28.9901i) q^{93} +(-10.1337 + 44.3987i) q^{94} +(-35.7022 - 102.031i) q^{95} +(42.1103 - 87.4429i) q^{96} +(63.6202 - 101.251i) q^{97} +(3.91380 - 11.1850i) q^{98} +(-72.8390 - 72.8390i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.170607 1.51418i −0.0853036 0.757090i −0.961438 0.275023i \(-0.911315\pi\)
0.876134 0.482067i \(-0.160114\pi\)
\(3\) 2.08647 + 3.32060i 0.695490 + 1.10687i 0.988568 + 0.150778i \(0.0481777\pi\)
−0.293077 + 0.956089i \(0.594679\pi\)
\(4\) 1.63608 0.373424i 0.409019 0.0933560i
\(5\) −5.91405 4.71630i −1.18281 0.943260i −0.183600 0.983001i \(-0.558775\pi\)
−0.999210 + 0.0397411i \(0.987347\pi\)
\(6\) 4.67202 3.72581i 0.778670 0.620968i
\(7\) −1.42870 + 6.25955i −0.204100 + 0.894222i 0.764308 + 0.644852i \(0.223081\pi\)
−0.968408 + 0.249370i \(0.919776\pi\)
\(8\) −2.85762 8.16662i −0.357203 1.02083i
\(9\) −2.76806 + 5.74794i −0.307563 + 0.638661i
\(10\) −6.13235 + 9.75958i −0.613235 + 0.975958i
\(11\) −5.33282 + 15.2403i −0.484802 + 1.38548i 0.398710 + 0.917077i \(0.369458\pi\)
−0.883512 + 0.468408i \(0.844828\pi\)
\(12\) 4.65362 + 4.65362i 0.387801 + 0.387801i
\(13\) −5.47235 11.3635i −0.420950 0.874112i −0.998337 0.0576417i \(-0.981642\pi\)
0.577387 0.816471i \(-0.304072\pi\)
\(14\) 9.72184 + 1.09539i 0.694417 + 0.0782420i
\(15\) 3.32144 29.4786i 0.221429 1.96524i
\(16\) −5.83035 + 2.80775i −0.364397 + 0.175484i
\(17\) 11.5542 11.5542i 0.679659 0.679659i −0.280264 0.959923i \(-0.590422\pi\)
0.959923 + 0.280264i \(0.0904219\pi\)
\(18\) 9.17568 + 3.21071i 0.509760 + 0.178373i
\(19\) 12.1000 + 7.60291i 0.636840 + 0.400153i 0.811398 0.584494i \(-0.198707\pi\)
−0.174558 + 0.984647i \(0.555850\pi\)
\(20\) −11.4370 5.50778i −0.571851 0.275389i
\(21\) −23.7664 + 8.31623i −1.13173 + 0.396011i
\(22\) 23.9864 + 5.47475i 1.09029 + 0.248852i
\(23\) −2.84328 3.56536i −0.123621 0.155016i 0.716170 0.697926i \(-0.245894\pi\)
−0.839791 + 0.542910i \(0.817322\pi\)
\(24\) 21.1557 26.5284i 0.881488 1.10535i
\(25\) 7.16951 + 31.4117i 0.286780 + 1.25647i
\(26\) −16.2727 + 10.2248i −0.625873 + 0.393262i
\(27\) 10.2113 1.15053i 0.378195 0.0426124i
\(28\) 10.7746i 0.384808i
\(29\) 23.5053 + 16.9853i 0.810527 + 0.585702i
\(30\) −45.2026 −1.50675
\(31\) −1.32747 11.7816i −0.0428217 0.380053i −0.996785 0.0801282i \(-0.974467\pi\)
0.953963 0.299925i \(-0.0969616\pi\)
\(32\) −13.1667 20.9547i −0.411461 0.654836i
\(33\) −61.7338 + 14.0903i −1.87072 + 0.426980i
\(34\) −19.4664 15.5239i −0.572541 0.456586i
\(35\) 37.9713 30.2811i 1.08490 0.865175i
\(36\) −2.38235 + 10.4377i −0.0661763 + 0.289937i
\(37\) 2.68961 + 7.68647i 0.0726922 + 0.207742i 0.974497 0.224402i \(-0.0720428\pi\)
−0.901804 + 0.432144i \(0.857757\pi\)
\(38\) 9.44783 19.6186i 0.248627 0.516280i
\(39\) 26.3156 41.8810i 0.674759 1.07387i
\(40\) −21.6161 + 61.7752i −0.540402 + 1.54438i
\(41\) 10.8682 + 10.8682i 0.265077 + 0.265077i 0.827113 0.562036i \(-0.189982\pi\)
−0.562036 + 0.827113i \(0.689982\pi\)
\(42\) 16.6470 + 34.5678i 0.396357 + 0.823043i
\(43\) −41.8092 4.71076i −0.972307 0.109553i −0.388503 0.921447i \(-0.627008\pi\)
−0.583804 + 0.811895i \(0.698436\pi\)
\(44\) −3.03380 + 26.9258i −0.0689501 + 0.611949i
\(45\) 43.4795 20.9386i 0.966211 0.465303i
\(46\) −4.91352 + 4.91352i −0.106816 + 0.106816i
\(47\) −28.2097 9.87101i −0.600207 0.210022i 0.0130369 0.999915i \(-0.495850\pi\)
−0.613244 + 0.789893i \(0.710136\pi\)
\(48\) −21.4883 13.5020i −0.447672 0.281291i
\(49\) 7.00665 + 3.37423i 0.142993 + 0.0688618i
\(50\) 46.3398 16.2150i 0.926796 0.324300i
\(51\) 62.4744 + 14.2594i 1.22499 + 0.279596i
\(52\) −13.1966 16.5480i −0.253780 0.318230i
\(53\) −25.1303 + 31.5124i −0.474157 + 0.594574i −0.960184 0.279370i \(-0.909874\pi\)
0.486026 + 0.873944i \(0.338446\pi\)
\(54\) −3.48423 15.2654i −0.0645228 0.282693i
\(55\) 103.417 64.9809i 1.88030 1.18147i
\(56\) 55.2021 6.21978i 0.985751 0.111068i
\(57\) 56.0423i 0.983199i
\(58\) 21.7087 38.4890i 0.374288 0.663604i
\(59\) −72.0544 −1.22126 −0.610631 0.791915i \(-0.709084\pi\)
−0.610631 + 0.791915i \(0.709084\pi\)
\(60\) −5.57388 49.4696i −0.0928980 0.824493i
\(61\) −36.0211 57.3273i −0.590510 0.939791i −0.999627 0.0273095i \(-0.991306\pi\)
0.409117 0.912482i \(-0.365837\pi\)
\(62\) −17.6131 + 4.02006i −0.284081 + 0.0648397i
\(63\) −32.0248 25.5389i −0.508331 0.405380i
\(64\) −49.7205 + 39.6508i −0.776883 + 0.619543i
\(65\) −21.2297 + 93.0134i −0.326611 + 1.43097i
\(66\) 31.8675 + 91.0722i 0.482842 + 1.37988i
\(67\) −40.9142 + 84.9592i −0.610659 + 1.26805i 0.334794 + 0.942291i \(0.391333\pi\)
−0.945454 + 0.325756i \(0.894381\pi\)
\(68\) 14.5890 23.2182i 0.214543 0.341444i
\(69\) 5.90672 16.8804i 0.0856046 0.244644i
\(70\) −52.3293 52.3293i −0.747561 0.747561i
\(71\) 13.8330 + 28.7244i 0.194830 + 0.404570i 0.975382 0.220522i \(-0.0707760\pi\)
−0.780552 + 0.625091i \(0.785062\pi\)
\(72\) 54.8514 + 6.18026i 0.761824 + 0.0858370i
\(73\) 14.9474 132.662i 0.204758 1.81728i −0.299910 0.953968i \(-0.596957\pi\)
0.504668 0.863313i \(-0.331615\pi\)
\(74\) 11.1798 5.38392i 0.151079 0.0727557i
\(75\) −89.3466 + 89.3466i −1.19129 + 1.19129i
\(76\) 22.6356 + 7.92053i 0.297836 + 0.104217i
\(77\) −87.7787 55.1550i −1.13998 0.716299i
\(78\) −67.9050 32.7013i −0.870577 0.419248i
\(79\) 82.9084 29.0109i 1.04947 0.367227i 0.250200 0.968194i \(-0.419504\pi\)
0.799274 + 0.600967i \(0.205218\pi\)
\(80\) 47.7232 + 10.8925i 0.596540 + 0.136156i
\(81\) 60.9253 + 76.3979i 0.752164 + 0.943184i
\(82\) 14.6022 18.3106i 0.178075 0.223300i
\(83\) −14.4328 63.2343i −0.173889 0.761859i −0.984373 0.176098i \(-0.943653\pi\)
0.810483 0.585762i \(-0.199205\pi\)
\(84\) −35.7782 + 22.4809i −0.425931 + 0.267630i
\(85\) −122.825 + 13.8391i −1.44500 + 0.162813i
\(86\) 64.1103i 0.745469i
\(87\) −7.35846 + 113.491i −0.0845800 + 1.30449i
\(88\) 139.701 1.58751
\(89\) 10.8152 + 95.9875i 0.121519 + 1.07851i 0.895426 + 0.445211i \(0.146871\pi\)
−0.773907 + 0.633300i \(0.781700\pi\)
\(90\) −39.1228 62.2635i −0.434697 0.691817i
\(91\) 78.9486 18.0195i 0.867567 0.198016i
\(92\) −5.98322 4.77146i −0.0650350 0.0518637i
\(93\) 36.3524 28.9901i 0.390886 0.311721i
\(94\) −10.1337 + 44.3987i −0.107805 + 0.472327i
\(95\) −35.7022 102.031i −0.375813 1.07401i
\(96\) 42.1103 87.4429i 0.438649 0.910864i
\(97\) 63.6202 101.251i 0.655879 1.04382i −0.338806 0.940856i \(-0.610023\pi\)
0.994685 0.102969i \(-0.0328341\pi\)
\(98\) 3.91380 11.1850i 0.0399367 0.114133i
\(99\) −72.8390 72.8390i −0.735747 0.735747i
\(100\) 23.4597 + 48.7146i 0.234597 + 0.487146i
\(101\) 44.5062 + 5.01465i 0.440656 + 0.0496500i 0.329505 0.944154i \(-0.393118\pi\)
0.111150 + 0.993804i \(0.464547\pi\)
\(102\) 10.9327 97.0303i 0.107183 0.951277i
\(103\) −58.9299 + 28.3791i −0.572135 + 0.275526i −0.697500 0.716585i \(-0.745704\pi\)
0.125365 + 0.992111i \(0.459990\pi\)
\(104\) −77.1631 + 77.1631i −0.741953 + 0.741953i
\(105\) 179.778 + 62.9069i 1.71217 + 0.599113i
\(106\) 52.0029 + 32.6756i 0.490594 + 0.308260i
\(107\) 73.6724 + 35.4788i 0.688527 + 0.331577i 0.745224 0.666814i \(-0.232343\pi\)
−0.0566968 + 0.998391i \(0.518057\pi\)
\(108\) 16.2768 5.69550i 0.150711 0.0527361i
\(109\) −70.6783 16.1319i −0.648425 0.147999i −0.114356 0.993440i \(-0.536481\pi\)
−0.534069 + 0.845441i \(0.679338\pi\)
\(110\) −116.036 145.505i −1.05488 1.32277i
\(111\) −19.9119 + 24.9687i −0.179386 + 0.224943i
\(112\) −9.24542 40.5068i −0.0825484 0.361668i
\(113\) −32.1123 + 20.1775i −0.284180 + 0.178562i −0.666577 0.745436i \(-0.732241\pi\)
0.382397 + 0.923998i \(0.375099\pi\)
\(114\) 84.8582 9.56122i 0.744370 0.0838704i
\(115\) 34.4955i 0.299961i
\(116\) 44.7992 + 19.0119i 0.386200 + 0.163896i
\(117\) 80.4644 0.687730
\(118\) 12.2930 + 109.103i 0.104178 + 0.924605i
\(119\) 55.8167 + 88.8317i 0.469048 + 0.746485i
\(120\) −250.232 + 57.1138i −2.08527 + 0.475949i
\(121\) −109.227 87.1058i −0.902704 0.719882i
\(122\) −80.6584 + 64.3229i −0.661134 + 0.527237i
\(123\) −13.4127 + 58.7650i −0.109046 + 0.477764i
\(124\) −6.57139 18.7800i −0.0529951 0.151451i
\(125\) 23.6947 49.2026i 0.189558 0.393621i
\(126\) −33.2069 + 52.8485i −0.263547 + 0.419432i
\(127\) −16.1833 + 46.2491i −0.127427 + 0.364166i −0.989868 0.141992i \(-0.954649\pi\)
0.862441 + 0.506158i \(0.168935\pi\)
\(128\) −1.47690 1.47690i −0.0115383 0.0115383i
\(129\) −71.5911 148.660i −0.554970 1.15241i
\(130\) 144.461 + 16.2768i 1.11124 + 0.125206i
\(131\) −9.85869 + 87.4983i −0.0752572 + 0.667926i 0.898284 + 0.439415i \(0.144814\pi\)
−0.973541 + 0.228511i \(0.926614\pi\)
\(132\) −95.7396 + 46.1058i −0.725300 + 0.349286i
\(133\) −64.8780 + 64.8780i −0.487805 + 0.487805i
\(134\) 135.624 + 47.4568i 1.01212 + 0.354155i
\(135\) −65.8163 41.3551i −0.487528 0.306334i
\(136\) −127.376 61.3412i −0.936591 0.451039i
\(137\) 47.1122 16.4853i 0.343885 0.120330i −0.152811 0.988255i \(-0.548832\pi\)
0.496695 + 0.867925i \(0.334547\pi\)
\(138\) −26.5677 6.06392i −0.192520 0.0439414i
\(139\) 3.30447 + 4.14367i 0.0237732 + 0.0298106i 0.793576 0.608471i \(-0.208217\pi\)
−0.769803 + 0.638282i \(0.779645\pi\)
\(140\) 50.8163 63.7217i 0.362974 0.455155i
\(141\) −26.0811 114.269i −0.184972 0.810417i
\(142\) 41.1340 25.8462i 0.289676 0.182015i
\(143\) 202.366 22.8012i 1.41515 0.159449i
\(144\) 41.2846i 0.286698i
\(145\) −58.9034 211.310i −0.406231 1.45731i
\(146\) −203.424 −1.39331
\(147\) 3.41472 + 30.3065i 0.0232294 + 0.206167i
\(148\) 7.27072 + 11.5713i 0.0491265 + 0.0781844i
\(149\) 121.378 27.7037i 0.814617 0.185931i 0.205138 0.978733i \(-0.434236\pi\)
0.609479 + 0.792802i \(0.291379\pi\)
\(150\) 150.530 + 120.044i 1.00353 + 0.800291i
\(151\) 116.656 93.0300i 0.772556 0.616093i −0.155798 0.987789i \(-0.549795\pi\)
0.928355 + 0.371696i \(0.121224\pi\)
\(152\) 27.5129 120.542i 0.181006 0.793039i
\(153\) 34.4302 + 98.3958i 0.225034 + 0.643110i
\(154\) −68.5389 + 142.323i −0.445058 + 0.924173i
\(155\) −47.7150 + 75.9380i −0.307839 + 0.489923i
\(156\) 27.4149 78.3474i 0.175737 0.502227i
\(157\) 112.055 + 112.055i 0.713725 + 0.713725i 0.967312 0.253587i \(-0.0816105\pi\)
−0.253587 + 0.967312i \(0.581611\pi\)
\(158\) −58.0725 120.589i −0.367548 0.763221i
\(159\) −157.074 17.6980i −0.987886 0.111308i
\(160\) −20.9601 + 186.026i −0.131000 + 1.16266i
\(161\) 26.3798 12.7038i 0.163850 0.0789058i
\(162\) 105.286 105.286i 0.649913 0.649913i
\(163\) −108.237 37.8739i −0.664033 0.232355i −0.0228453 0.999739i \(-0.507273\pi\)
−0.641188 + 0.767384i \(0.721558\pi\)
\(164\) 21.8396 + 13.7227i 0.133168 + 0.0836752i
\(165\) 431.551 + 207.824i 2.61546 + 1.25954i
\(166\) −93.2858 + 32.6421i −0.561963 + 0.196639i
\(167\) −39.7689 9.07699i −0.238137 0.0543532i 0.101787 0.994806i \(-0.467544\pi\)
−0.339924 + 0.940453i \(0.610401\pi\)
\(168\) 135.831 + 170.327i 0.808517 + 1.01385i
\(169\) 6.18821 7.75977i 0.0366166 0.0459158i
\(170\) 41.9098 + 183.619i 0.246528 + 1.08011i
\(171\) −77.1945 + 48.5045i −0.451430 + 0.283652i
\(172\) −70.1622 + 7.90538i −0.407919 + 0.0459615i
\(173\) 92.8408i 0.536652i −0.963328 0.268326i \(-0.913530\pi\)
0.963328 0.268326i \(-0.0864704\pi\)
\(174\) 173.101 8.22034i 0.994835 0.0472434i
\(175\) −206.866 −1.18209
\(176\) −11.6988 103.830i −0.0664705 0.589942i
\(177\) −150.339 239.264i −0.849375 1.35177i
\(178\) 143.497 32.7523i 0.806164 0.184002i
\(179\) −259.613 207.034i −1.45035 1.15662i −0.958198 0.286108i \(-0.907639\pi\)
−0.492153 0.870509i \(-0.663790\pi\)
\(180\) 63.3168 50.4935i 0.351760 0.280519i
\(181\) −5.32646 + 23.3367i −0.0294279 + 0.128932i −0.987508 0.157568i \(-0.949635\pi\)
0.958080 + 0.286500i \(0.0924919\pi\)
\(182\) −40.7539 116.468i −0.223923 0.639935i
\(183\) 115.204 239.223i 0.629529 1.30723i
\(184\) −20.9919 + 33.4085i −0.114087 + 0.181568i
\(185\) 20.3452 58.1432i 0.109974 0.314288i
\(186\) −50.0981 50.0981i −0.269345 0.269345i
\(187\) 114.473 + 237.707i 0.612158 + 1.27116i
\(188\) −49.8394 5.61555i −0.265103 0.0298699i
\(189\) −7.38704 + 65.5618i −0.0390849 + 0.346888i
\(190\) −148.402 + 71.4668i −0.781065 + 0.376141i
\(191\) 80.4392 80.4392i 0.421147 0.421147i −0.464451 0.885599i \(-0.653748\pi\)
0.885599 + 0.464451i \(0.153748\pi\)
\(192\) −235.405 82.3716i −1.22607 0.429019i
\(193\) 185.269 + 116.412i 0.959941 + 0.603171i 0.918267 0.395961i \(-0.129588\pi\)
0.0416731 + 0.999131i \(0.486731\pi\)
\(194\) −164.166 79.0584i −0.846218 0.407517i
\(195\) −353.155 + 123.574i −1.81105 + 0.633715i
\(196\) 12.7234 + 2.90404i 0.0649155 + 0.0148165i
\(197\) 156.057 + 195.689i 0.792166 + 0.993345i 0.999885 + 0.0151563i \(0.00482457\pi\)
−0.207719 + 0.978189i \(0.566604\pi\)
\(198\) −97.8645 + 122.718i −0.494265 + 0.619789i
\(199\) 68.8429 + 301.621i 0.345944 + 1.51568i 0.786293 + 0.617854i \(0.211998\pi\)
−0.440349 + 0.897827i \(0.645145\pi\)
\(200\) 236.039 148.313i 1.18020 0.741567i
\(201\) −367.482 + 41.4052i −1.82827 + 0.205996i
\(202\) 68.2460i 0.337851i
\(203\) −139.903 + 122.866i −0.689176 + 0.605249i
\(204\) 107.538 0.527146
\(205\) −13.0174 115.532i −0.0634994 0.563573i
\(206\) 53.0250 + 84.3888i 0.257403 + 0.409654i
\(207\) 28.3639 6.47388i 0.137024 0.0312748i
\(208\) 63.8115 + 50.8880i 0.306786 + 0.244654i
\(209\) −180.398 + 143.862i −0.863147 + 0.688337i
\(210\) 64.5811 282.948i 0.307529 1.34737i
\(211\) 15.0592 + 43.0368i 0.0713708 + 0.203966i 0.974043 0.226363i \(-0.0726834\pi\)
−0.902672 + 0.430329i \(0.858398\pi\)
\(212\) −29.3477 + 60.9410i −0.138432 + 0.287458i
\(213\) −66.5203 + 105.866i −0.312302 + 0.497025i
\(214\) 41.1522 117.606i 0.192300 0.549562i
\(215\) 225.044 + 225.044i 1.04672 + 1.04672i
\(216\) −38.5759 80.1038i −0.178592 0.370851i
\(217\) 75.6444 + 8.52307i 0.348592 + 0.0392768i
\(218\) −12.3683 + 109.772i −0.0567354 + 0.503541i
\(219\) 471.703 227.160i 2.15389 1.03726i
\(220\) 144.932 144.932i 0.658782 0.658782i
\(221\) −194.525 68.0671i −0.880202 0.307996i
\(222\) 41.2042 + 25.8903i 0.185605 + 0.116623i
\(223\) −125.985 60.6713i −0.564956 0.272069i 0.129529 0.991576i \(-0.458654\pi\)
−0.694485 + 0.719507i \(0.744368\pi\)
\(224\) 149.979 52.4798i 0.669548 0.234285i
\(225\) −200.398 45.7396i −0.890659 0.203287i
\(226\) 36.0310 + 45.1814i 0.159429 + 0.199918i
\(227\) 18.6570 23.3951i 0.0821894 0.103062i −0.739037 0.673665i \(-0.764719\pi\)
0.821226 + 0.570603i \(0.193290\pi\)
\(228\) 20.9275 + 91.6896i 0.0917875 + 0.402147i
\(229\) −251.179 + 157.826i −1.09685 + 0.689196i −0.953777 0.300516i \(-0.902841\pi\)
−0.143073 + 0.989712i \(0.545698\pi\)
\(230\) 52.2325 5.88518i 0.227098 0.0255878i
\(231\) 406.557i 1.75999i
\(232\) 71.5436 240.496i 0.308378 1.03662i
\(233\) 102.836 0.441355 0.220678 0.975347i \(-0.429173\pi\)
0.220678 + 0.975347i \(0.429173\pi\)
\(234\) −13.7278 121.838i −0.0586658 0.520673i
\(235\) 120.279 + 191.423i 0.511826 + 0.814567i
\(236\) −117.887 + 26.9068i −0.499519 + 0.114012i
\(237\) 269.320 + 214.775i 1.13637 + 0.906225i
\(238\) 124.985 99.6718i 0.525145 0.418789i
\(239\) 82.4096 361.060i 0.344810 1.51071i −0.443973 0.896040i \(-0.646432\pi\)
0.788783 0.614671i \(-0.210711\pi\)
\(240\) 63.4034 + 181.196i 0.264181 + 0.754985i
\(241\) −23.2235 + 48.2241i −0.0963630 + 0.200100i −0.943578 0.331150i \(-0.892563\pi\)
0.847215 + 0.531250i \(0.178278\pi\)
\(242\) −113.259 + 180.251i −0.468012 + 0.744837i
\(243\) −96.0228 + 274.417i −0.395155 + 1.12929i
\(244\) −80.3407 80.3407i −0.329265 0.329265i
\(245\) −25.5238 53.0008i −0.104179 0.216330i
\(246\) 91.2691 + 10.2836i 0.371012 + 0.0418031i
\(247\) 20.1801 179.103i 0.0817007 0.725114i
\(248\) −92.4227 + 44.5084i −0.372672 + 0.179470i
\(249\) 179.862 179.862i 0.722338 0.722338i
\(250\) −78.5441 27.4838i −0.314177 0.109935i
\(251\) 309.133 + 194.241i 1.23160 + 0.773868i 0.980960 0.194211i \(-0.0622147\pi\)
0.250644 + 0.968079i \(0.419358\pi\)
\(252\) −61.9319 29.8248i −0.245762 0.118353i
\(253\) 69.5001 24.3191i 0.274704 0.0961231i
\(254\) 72.7905 + 16.6139i 0.286577 + 0.0654092i
\(255\) −302.225 378.979i −1.18520 1.48619i
\(256\) −160.587 + 201.370i −0.627294 + 0.786602i
\(257\) −94.8505 415.567i −0.369068 1.61699i −0.729344 0.684147i \(-0.760175\pi\)
0.360276 0.932846i \(-0.382683\pi\)
\(258\) −212.885 + 133.764i −0.825135 + 0.518466i
\(259\) −51.9565 + 5.85409i −0.200604 + 0.0226027i
\(260\) 160.105i 0.615787i
\(261\) −162.695 + 88.0905i −0.623352 + 0.337511i
\(262\) 134.170 0.512100
\(263\) 1.99454 + 17.7021i 0.00758382 + 0.0673083i 0.996934 0.0782461i \(-0.0249320\pi\)
−0.989350 + 0.145554i \(0.953503\pi\)
\(264\) 291.482 + 463.892i 1.10410 + 1.75717i
\(265\) 297.244 67.8441i 1.12168 0.256015i
\(266\) 109.306 + 87.1684i 0.410924 + 0.327701i
\(267\) −296.170 + 236.188i −1.10925 + 0.884599i
\(268\) −35.2130 + 154.278i −0.131392 + 0.575664i
\(269\) −69.6952 199.177i −0.259090 0.740437i −0.997793 0.0664053i \(-0.978847\pi\)
0.738703 0.674031i \(-0.235439\pi\)
\(270\) −51.3904 + 106.713i −0.190335 + 0.395234i
\(271\) 168.487 268.145i 0.621722 0.989464i −0.376294 0.926500i \(-0.622802\pi\)
0.998016 0.0629639i \(-0.0200553\pi\)
\(272\) −34.9238 + 99.8065i −0.128396 + 0.366935i
\(273\) 224.559 + 224.559i 0.822562 + 0.822562i
\(274\) −32.9993 68.5238i −0.120436 0.250087i
\(275\) −516.958 58.2472i −1.87985 0.211808i
\(276\) 3.36029 29.8234i 0.0121750 0.108056i
\(277\) −486.478 + 234.275i −1.75624 + 0.845760i −0.781022 + 0.624503i \(0.785302\pi\)
−0.975216 + 0.221257i \(0.928984\pi\)
\(278\) 5.71050 5.71050i 0.0205414 0.0205414i
\(279\) 71.3947 + 24.9821i 0.255895 + 0.0895416i
\(280\) −355.802 223.565i −1.27072 0.798448i
\(281\) −178.225 85.8285i −0.634252 0.305439i 0.0889921 0.996032i \(-0.471635\pi\)
−0.723244 + 0.690593i \(0.757350\pi\)
\(282\) −168.574 + 58.9866i −0.597780 + 0.209172i
\(283\) 155.124 + 35.4061i 0.548143 + 0.125110i 0.487619 0.873057i \(-0.337866\pi\)
0.0605241 + 0.998167i \(0.480723\pi\)
\(284\) 33.3582 + 41.8298i 0.117458 + 0.147288i
\(285\) 264.312 331.437i 0.927412 1.16294i
\(286\) −69.0502 302.529i −0.241434 1.05779i
\(287\) −83.5573 + 52.5025i −0.291140 + 0.182936i
\(288\) 156.893 17.6776i 0.544768 0.0613806i
\(289\) 22.0004i 0.0761260i
\(290\) −309.912 + 125.241i −1.06866 + 0.431867i
\(291\) 468.956 1.61153
\(292\) −25.0839 222.626i −0.0859039 0.762418i
\(293\) 131.410 + 209.138i 0.448498 + 0.713781i 0.992084 0.125572i \(-0.0400768\pi\)
−0.543586 + 0.839353i \(0.682934\pi\)
\(294\) 45.3069 10.3410i 0.154105 0.0351735i
\(295\) 426.134 + 339.830i 1.44452 + 1.15197i
\(296\) 55.0866 43.9301i 0.186103 0.148412i
\(297\) −36.9204 + 161.759i −0.124311 + 0.544643i
\(298\) −62.6564 179.062i −0.210256 0.600878i
\(299\) −24.9554 + 51.8205i −0.0834630 + 0.173313i
\(300\) −112.814 + 179.542i −0.376046 + 0.598474i
\(301\) 89.2202 254.977i 0.296413 0.847098i
\(302\) −160.767 160.767i −0.532340 0.532340i
\(303\) 76.2093 + 158.250i 0.251516 + 0.522278i
\(304\) −91.8941 10.3540i −0.302283 0.0340591i
\(305\) −57.3418 + 508.923i −0.188006 + 1.66860i
\(306\) 143.115 68.9205i 0.467696 0.225230i
\(307\) 226.087 226.087i 0.736440 0.736440i −0.235447 0.971887i \(-0.575655\pi\)
0.971887 + 0.235447i \(0.0756555\pi\)
\(308\) −164.209 57.4592i −0.533146 0.186556i
\(309\) −217.191 136.470i −0.702884 0.441652i
\(310\) 123.124 + 59.2936i 0.397175 + 0.191270i
\(311\) 72.3712 25.3238i 0.232705 0.0814269i −0.211408 0.977398i \(-0.567805\pi\)
0.444112 + 0.895971i \(0.353519\pi\)
\(312\) −417.226 95.2292i −1.33726 0.305222i
\(313\) −344.367 431.823i −1.10022 1.37963i −0.918100 0.396349i \(-0.870277\pi\)
−0.182116 0.983277i \(-0.558294\pi\)
\(314\) 150.554 188.789i 0.479471 0.601238i
\(315\) 68.9472 + 302.077i 0.218880 + 0.958976i
\(316\) 124.811 78.4241i 0.394972 0.248177i
\(317\) 7.26544 0.818619i 0.0229194 0.00258239i −0.100497 0.994937i \(-0.532043\pi\)
0.123417 + 0.992355i \(0.460615\pi\)
\(318\) 240.858i 0.757414i
\(319\) −384.212 + 267.648i −1.20443 + 0.839023i
\(320\) 481.054 1.50330
\(321\) 35.9046 + 318.662i 0.111852 + 0.992716i
\(322\) −23.7365 37.7764i −0.0737158 0.117318i
\(323\) 227.651 51.9599i 0.704802 0.160866i
\(324\) 128.207 + 102.242i 0.395701 + 0.315561i
\(325\) 317.711 253.366i 0.977573 0.779589i
\(326\) −38.8819 + 170.353i −0.119270 + 0.522554i
\(327\) −93.9008 268.353i −0.287158 0.820651i
\(328\) 57.6991 119.813i 0.175912 0.365285i
\(329\) 102.091 162.478i 0.310308 0.493853i
\(330\) 241.057 688.903i 0.730477 2.08758i
\(331\) −60.5776 60.5776i −0.183014 0.183014i 0.609654 0.792668i \(-0.291308\pi\)
−0.792668 + 0.609654i \(0.791308\pi\)
\(332\) −47.2264 98.0667i −0.142248 0.295382i
\(333\) −51.6264 5.81690i −0.155034 0.0174682i
\(334\) −6.95934 + 61.7659i −0.0208364 + 0.184928i
\(335\) 642.661 309.489i 1.91839 0.923849i
\(336\) 115.217 115.217i 0.342907 0.342907i
\(337\) 319.145 + 111.674i 0.947018 + 0.331376i 0.759222 0.650832i \(-0.225580\pi\)
0.187796 + 0.982208i \(0.439865\pi\)
\(338\) −12.8054 8.04620i −0.0378859 0.0238053i
\(339\) −134.003 64.5324i −0.395289 0.190361i
\(340\) −195.784 + 68.5077i −0.575835 + 0.201493i
\(341\) 186.635 + 42.5983i 0.547318 + 0.124922i
\(342\) 86.6146 + 108.611i 0.253259 + 0.317577i
\(343\) −227.285 + 285.007i −0.662639 + 0.830923i
\(344\) 81.0039 + 354.901i 0.235476 + 1.03169i
\(345\) −114.546 + 71.9739i −0.332017 + 0.208620i
\(346\) −140.578 + 15.8393i −0.406294 + 0.0457783i
\(347\) 98.3157i 0.283330i −0.989915 0.141665i \(-0.954754\pi\)
0.989915 0.141665i \(-0.0452456\pi\)
\(348\) 30.3412 + 188.428i 0.0871875 + 0.541459i
\(349\) −534.702 −1.53210 −0.766049 0.642782i \(-0.777780\pi\)
−0.766049 + 0.642782i \(0.777780\pi\)
\(350\) 35.2929 + 313.233i 0.100837 + 0.894951i
\(351\) −68.9538 109.739i −0.196449 0.312648i
\(352\) 389.573 88.9176i 1.10674 0.252607i
\(353\) 263.129 + 209.839i 0.745409 + 0.594444i 0.920791 0.390057i \(-0.127545\pi\)
−0.175382 + 0.984500i \(0.556116\pi\)
\(354\) −336.640 + 268.461i −0.950959 + 0.758365i
\(355\) 53.6642 235.118i 0.151167 0.662305i
\(356\) 53.5385 + 153.004i 0.150389 + 0.429787i
\(357\) −178.515 + 370.690i −0.500041 + 1.03835i
\(358\) −269.195 + 428.422i −0.751943 + 1.19671i
\(359\) −81.3356 + 232.444i −0.226561 + 0.647475i 0.773348 + 0.633982i \(0.218581\pi\)
−0.999909 + 0.0134931i \(0.995705\pi\)
\(360\) −295.246 295.246i −0.820127 0.820127i
\(361\) −68.0273 141.260i −0.188441 0.391302i
\(362\) 36.2447 + 4.08380i 0.100124 + 0.0112812i
\(363\) 61.3440 544.443i 0.168992 1.49984i
\(364\) 122.437 58.9625i 0.336365 0.161985i
\(365\) −714.071 + 714.071i −1.95636 + 1.95636i
\(366\) −381.882 133.626i −1.04339 0.365099i
\(367\) 132.396 + 83.1898i 0.360752 + 0.226675i 0.700196 0.713951i \(-0.253096\pi\)
−0.339444 + 0.940626i \(0.610239\pi\)
\(368\) 26.5880 + 12.8041i 0.0722500 + 0.0347938i
\(369\) −92.5534 + 32.3859i −0.250822 + 0.0877665i
\(370\) −91.5103 20.8866i −0.247325 0.0564504i
\(371\) −161.350 202.327i −0.434906 0.545355i
\(372\) 48.6497 61.0048i 0.130779 0.163991i
\(373\) −130.647 572.403i −0.350261 1.53459i −0.776579 0.630020i \(-0.783047\pi\)
0.426318 0.904573i \(-0.359810\pi\)
\(374\) 340.401 213.888i 0.910162 0.571893i
\(375\) 212.821 23.9791i 0.567522 0.0639443i
\(376\) 258.586i 0.687728i
\(377\) 64.3831 360.051i 0.170778 0.955043i
\(378\) 100.533 0.265959
\(379\) −7.44921 66.1135i −0.0196549 0.174442i 0.980050 0.198753i \(-0.0636893\pi\)
−0.999704 + 0.0243113i \(0.992261\pi\)
\(380\) −96.5123 153.598i −0.253980 0.404207i
\(381\) −187.341 + 42.7593i −0.491708 + 0.112229i
\(382\) −135.523 108.076i −0.354772 0.282921i
\(383\) 21.1423 16.8604i 0.0552018 0.0440220i −0.595500 0.803355i \(-0.703046\pi\)
0.650702 + 0.759333i \(0.274475\pi\)
\(384\) 1.82268 7.98570i 0.00474657 0.0207961i
\(385\) 259.000 + 740.180i 0.672728 + 1.92255i
\(386\) 144.661 300.391i 0.374768 0.778214i
\(387\) 142.808 227.277i 0.369012 0.587280i
\(388\) 66.2780 189.412i 0.170820 0.488175i
\(389\) −148.329 148.329i −0.381307 0.381307i 0.490266 0.871573i \(-0.336900\pi\)
−0.871573 + 0.490266i \(0.836900\pi\)
\(390\) 247.365 + 513.658i 0.634268 + 1.31707i
\(391\) −74.0469 8.34308i −0.189378 0.0213378i
\(392\) 7.53364 66.8629i 0.0192185 0.170569i
\(393\) −311.117 + 149.826i −0.791645 + 0.381236i
\(394\) 269.684 269.684i 0.684477 0.684477i
\(395\) −627.149 219.449i −1.58772 0.555567i
\(396\) −146.370 91.9704i −0.369621 0.232248i
\(397\) 625.449 + 301.201i 1.57544 + 0.758692i 0.998318 0.0579674i \(-0.0184619\pi\)
0.577121 + 0.816659i \(0.304176\pi\)
\(398\) 444.963 155.699i 1.11800 0.391204i
\(399\) −350.800 80.0678i −0.879198 0.200671i
\(400\) −129.997 163.011i −0.324992 0.407527i
\(401\) −475.354 + 596.075i −1.18542 + 1.48647i −0.350097 + 0.936713i \(0.613851\pi\)
−0.835324 + 0.549758i \(0.814720\pi\)
\(402\) 125.390 + 549.369i 0.311915 + 1.36659i
\(403\) −126.616 + 79.5580i −0.314183 + 0.197414i
\(404\) 74.6882 8.41534i 0.184872 0.0208300i
\(405\) 739.163i 1.82509i
\(406\) 209.909 + 190.876i 0.517017 + 0.470138i
\(407\) −131.488 −0.323065
\(408\) −62.0775 550.953i −0.152151 1.35037i
\(409\) 82.4668 + 131.245i 0.201630 + 0.320893i 0.932199 0.361947i \(-0.117888\pi\)
−0.730569 + 0.682839i \(0.760745\pi\)
\(410\) −172.716 + 39.4213i −0.421259 + 0.0961496i
\(411\) 153.039 + 122.045i 0.372358 + 0.296946i
\(412\) −85.8164 + 68.4363i −0.208292 + 0.166107i
\(413\) 102.944 451.029i 0.249260 1.09208i
\(414\) −14.6417 41.8436i −0.0353664 0.101071i
\(415\) −212.876 + 442.041i −0.512953 + 1.06516i
\(416\) −166.065 + 264.292i −0.399196 + 0.635316i
\(417\) −6.86480 + 19.6185i −0.0164623 + 0.0470467i
\(418\) 248.611 + 248.611i 0.594763 + 0.594763i
\(419\) 149.598 + 310.643i 0.357035 + 0.741390i 0.999693 0.0247624i \(-0.00788291\pi\)
−0.642659 + 0.766153i \(0.722169\pi\)
\(420\) 317.621 + 35.7873i 0.756240 + 0.0852078i
\(421\) −66.7338 + 592.279i −0.158513 + 1.40684i 0.622645 + 0.782504i \(0.286058\pi\)
−0.781158 + 0.624334i \(0.785371\pi\)
\(422\) 62.5963 30.1448i 0.148332 0.0714331i
\(423\) 134.824 134.824i 0.318734 0.318734i
\(424\) 329.163 + 115.179i 0.776328 + 0.271649i
\(425\) 445.775 + 280.099i 1.04888 + 0.659057i
\(426\) 171.650 + 82.6621i 0.402934 + 0.194043i
\(427\) 410.307 143.572i 0.960905 0.336235i
\(428\) 133.782 + 30.5349i 0.312575 + 0.0713433i
\(429\) 497.944 + 624.402i 1.16071 + 1.45548i
\(430\) 302.364 379.152i 0.703171 0.881749i
\(431\) −61.6978 270.316i −0.143150 0.627183i −0.994692 0.102896i \(-0.967189\pi\)
0.851542 0.524287i \(-0.175668\pi\)
\(432\) −56.3049 + 35.3787i −0.130335 + 0.0818952i
\(433\) −318.885 + 35.9297i −0.736454 + 0.0829785i −0.472221 0.881480i \(-0.656547\pi\)
−0.264233 + 0.964459i \(0.585119\pi\)
\(434\) 115.993i 0.267266i
\(435\) 578.776 636.487i 1.33052 1.46319i
\(436\) −121.659 −0.279035
\(437\) −7.29647 64.7580i −0.0166967 0.148188i
\(438\) −424.437 675.488i −0.969035 1.54221i
\(439\) −589.295 + 134.503i −1.34236 + 0.306384i −0.832572 0.553917i \(-0.813132\pi\)
−0.509785 + 0.860302i \(0.670275\pi\)
\(440\) −826.200 658.873i −1.87773 1.49744i
\(441\) −38.7897 + 30.9338i −0.0879586 + 0.0701446i
\(442\) −69.8786 + 306.158i −0.158096 + 0.692665i
\(443\) −286.372 818.404i −0.646438 1.84741i −0.517339 0.855781i \(-0.673077\pi\)
−0.129098 0.991632i \(-0.541208\pi\)
\(444\) −23.2535 + 48.2863i −0.0523726 + 0.108753i
\(445\) 388.744 618.683i 0.873582 1.39030i
\(446\) −70.3733 + 201.115i −0.157788 + 0.450931i
\(447\) 345.245 + 345.245i 0.772359 + 0.772359i
\(448\) −177.160 367.877i −0.395447 0.821154i
\(449\) 583.687 + 65.7657i 1.29997 + 0.146472i 0.734677 0.678417i \(-0.237334\pi\)
0.565295 + 0.824889i \(0.308762\pi\)
\(450\) −35.0686 + 311.243i −0.0779303 + 0.691650i
\(451\) −223.593 + 107.677i −0.495771 + 0.238751i
\(452\) −45.0035 + 45.0035i −0.0995652 + 0.0995652i
\(453\) 552.315 + 193.263i 1.21924 + 0.426630i
\(454\) −38.6075 24.2587i −0.0850384 0.0534332i
\(455\) −551.891 265.777i −1.21295 0.584125i
\(456\) 457.676 160.148i 1.00368 0.351202i
\(457\) 30.9403 + 7.06192i 0.0677030 + 0.0154528i 0.256238 0.966614i \(-0.417517\pi\)
−0.188535 + 0.982066i \(0.560374\pi\)
\(458\) 281.830 + 353.403i 0.615349 + 0.771623i
\(459\) 104.690 131.277i 0.228082 0.286006i
\(460\) 12.8815 + 56.4373i 0.0280032 + 0.122690i
\(461\) −26.3626 + 16.5647i −0.0571858 + 0.0359322i −0.560322 0.828275i \(-0.689322\pi\)
0.503136 + 0.864207i \(0.332180\pi\)
\(462\) −615.601 + 69.3615i −1.33247 + 0.150133i
\(463\) 492.788i 1.06434i 0.846638 + 0.532169i \(0.178623\pi\)
−0.846638 + 0.532169i \(0.821377\pi\)
\(464\) −184.735 33.0336i −0.398135 0.0711932i
\(465\) −351.716 −0.756378
\(466\) −17.5445 155.712i −0.0376492 0.334146i
\(467\) 70.6660 + 112.464i 0.151319 + 0.240823i 0.913778 0.406214i \(-0.133151\pi\)
−0.762459 + 0.647036i \(0.776008\pi\)
\(468\) 131.646 30.0473i 0.281295 0.0642037i
\(469\) −473.352 377.486i −1.00928 0.804874i
\(470\) 269.329 214.783i 0.573040 0.456984i
\(471\) −138.290 + 605.888i −0.293609 + 1.28639i
\(472\) 205.904 + 588.441i 0.436238 + 1.24670i
\(473\) 294.755 612.064i 0.623160 1.29401i
\(474\) 279.261 444.441i 0.589157 0.937638i
\(475\) −152.069 + 434.589i −0.320146 + 0.914924i
\(476\) 124.492 + 124.492i 0.261538 + 0.261538i
\(477\) −111.569 231.676i −0.233898 0.485694i
\(478\) −560.770 63.1836i −1.17316 0.132183i
\(479\) 20.8876 185.382i 0.0436066 0.387020i −0.952885 0.303331i \(-0.901901\pi\)
0.996492 0.0836888i \(-0.0266702\pi\)
\(480\) −661.450 + 318.537i −1.37802 + 0.663619i
\(481\) 72.6264 72.6264i 0.150990 0.150990i
\(482\) 76.9820 + 26.9372i 0.159714 + 0.0558863i
\(483\) 97.2250 + 61.0905i 0.201294 + 0.126481i
\(484\) −211.231 101.724i −0.436429 0.210173i
\(485\) −853.784 + 298.752i −1.76038 + 0.615983i
\(486\) 431.899 + 98.5782i 0.888682 + 0.202836i
\(487\) 348.899 + 437.506i 0.716426 + 0.898369i 0.998130 0.0611319i \(-0.0194710\pi\)
−0.281704 + 0.959501i \(0.590900\pi\)
\(488\) −365.235 + 457.990i −0.748433 + 0.938505i
\(489\) −100.070 438.436i −0.204642 0.896597i
\(490\) −75.8982 + 47.6900i −0.154894 + 0.0973266i
\(491\) 244.577 27.5572i 0.498121 0.0561247i 0.140670 0.990057i \(-0.455074\pi\)
0.357451 + 0.933932i \(0.383646\pi\)
\(492\) 101.153i 0.205595i
\(493\) 467.837 75.3326i 0.948960 0.152805i
\(494\) −274.637 −0.555946
\(495\) 87.2431 + 774.304i 0.176249 + 1.56425i
\(496\) 40.8195 + 64.9639i 0.0822974 + 0.130976i
\(497\) −199.565 + 45.5495i −0.401540 + 0.0916489i
\(498\) −303.030 241.658i −0.608493 0.485257i
\(499\) −414.297 + 330.391i −0.830254 + 0.662106i −0.943468 0.331465i \(-0.892457\pi\)
0.113213 + 0.993571i \(0.463886\pi\)
\(500\) 20.3930 89.3475i 0.0407859 0.178695i
\(501\) −52.8356 150.995i −0.105460 0.301388i
\(502\) 241.376 501.221i 0.480828 0.998449i
\(503\) −337.253 + 536.736i −0.670484 + 1.06707i 0.322240 + 0.946658i \(0.395564\pi\)
−0.992724 + 0.120411i \(0.961579\pi\)
\(504\) −117.052 + 334.515i −0.232246 + 0.663721i
\(505\) −239.562 239.562i −0.474379 0.474379i
\(506\) −48.6808 101.087i −0.0962070 0.199776i
\(507\) 38.6786 + 4.35803i 0.0762892 + 0.00859573i
\(508\) −9.20654 + 81.7103i −0.0181231 + 0.160847i
\(509\) 480.177 231.241i 0.943374 0.454305i 0.102016 0.994783i \(-0.467471\pi\)
0.841358 + 0.540478i \(0.181756\pi\)
\(510\) −522.280 + 522.280i −1.02408 + 1.02408i
\(511\) 809.047 + 283.098i 1.58326 + 0.554007i
\(512\) 325.234 + 204.358i 0.635223 + 0.399137i
\(513\) 132.303 + 63.7140i 0.257901 + 0.124199i
\(514\) −613.062 + 214.520i −1.19273 + 0.417353i
\(515\) 482.359 + 110.095i 0.936619 + 0.213777i
\(516\) −172.642 216.486i −0.334577 0.419547i
\(517\) 300.875 377.285i 0.581964 0.729759i
\(518\) 17.7283 + 77.6728i 0.0342245 + 0.149947i
\(519\) 308.287 193.710i 0.594002 0.373236i
\(520\) 820.271 92.4223i 1.57744 0.177735i
\(521\) 491.340i 0.943071i −0.881847 0.471535i \(-0.843700\pi\)
0.881847 0.471535i \(-0.156300\pi\)
\(522\) 161.142 + 231.321i 0.308701 + 0.443143i
\(523\) −633.523 −1.21133 −0.605663 0.795721i \(-0.707092\pi\)
−0.605663 + 0.795721i \(0.707092\pi\)
\(524\) 16.5444 + 146.835i 0.0315732 + 0.280220i
\(525\) −431.620 686.920i −0.822134 1.30842i
\(526\) 26.4638 6.04020i 0.0503115 0.0114833i
\(527\) −151.465 120.790i −0.287411 0.229202i
\(528\) 320.368 255.485i 0.606757 0.483873i
\(529\) 113.086 495.462i 0.213773 0.936601i
\(530\) −153.440 438.507i −0.289510 0.827371i
\(531\) 199.451 414.165i 0.375614 0.779972i
\(532\) −81.9184 + 130.372i −0.153982 + 0.245061i
\(533\) 64.0256 182.975i 0.120123 0.343292i
\(534\) 408.160 + 408.160i 0.764344 + 0.764344i
\(535\) −268.374 557.284i −0.501634 1.04165i
\(536\) 810.746 + 91.3492i 1.51259 + 0.170428i
\(537\) 145.803 1294.04i 0.271515 2.40976i
\(538\) −289.700 + 139.512i −0.538476 + 0.259316i
\(539\) −88.7896 + 88.7896i −0.164730 + 0.164730i
\(540\) −123.123 43.0828i −0.228006 0.0797829i
\(541\) −450.657 283.166i −0.833007 0.523413i 0.0467114 0.998908i \(-0.485126\pi\)
−0.879718 + 0.475496i \(0.842269\pi\)
\(542\) −434.765 209.372i −0.802149 0.386294i
\(543\) −88.6054 + 31.0044i −0.163178 + 0.0570983i
\(544\) −394.247 89.9843i −0.724719 0.165412i
\(545\) 341.913 + 428.745i 0.627362 + 0.786688i
\(546\) 301.712 378.335i 0.552586 0.692921i
\(547\) 93.5855 + 410.025i 0.171089 + 0.749588i 0.985552 + 0.169373i \(0.0541743\pi\)
−0.814463 + 0.580215i \(0.802969\pi\)
\(548\) 70.9231 44.5640i 0.129422 0.0813211i
\(549\) 429.223 48.3618i 0.781827 0.0880907i
\(550\) 792.705i 1.44128i
\(551\) 155.275 + 384.230i 0.281805 + 0.697333i
\(552\) −154.735 −0.280317
\(553\) 63.1439 + 560.418i 0.114184 + 1.01341i
\(554\) 437.732 + 696.646i 0.790130 + 1.25748i
\(555\) 235.520 53.7559i 0.424360 0.0968574i
\(556\) 6.95371 + 5.54540i 0.0125067 + 0.00997374i
\(557\) 436.339 347.969i 0.783374 0.624720i −0.147915 0.989000i \(-0.547256\pi\)
0.931289 + 0.364280i \(0.118685\pi\)
\(558\) 25.6470 112.367i 0.0459623 0.201374i
\(559\) 175.264 + 500.876i 0.313531 + 0.896022i
\(560\) −136.364 + 283.164i −0.243508 + 0.505650i
\(561\) −550.483 + 876.088i −0.981253 + 1.56165i
\(562\) −99.5534 + 284.507i −0.177141 + 0.506241i
\(563\) −624.348 624.348i −1.10897 1.10897i −0.993287 0.115679i \(-0.963096\pi\)
−0.115679 0.993287i \(-0.536904\pi\)
\(564\) −85.3414 177.213i −0.151315 0.314208i
\(565\) 285.077 + 32.1205i 0.504561 + 0.0568504i
\(566\) 27.1459 240.927i 0.0479610 0.425666i
\(567\) −565.261 + 272.215i −0.996933 + 0.480098i
\(568\) 195.052 195.052i 0.343402 0.343402i
\(569\) 994.025 + 347.824i 1.74697 + 0.611290i 0.998645 0.0520443i \(-0.0165737\pi\)
0.748323 + 0.663335i \(0.230859\pi\)
\(570\) −546.950 343.671i −0.959561 0.602932i
\(571\) 383.661 + 184.761i 0.671911 + 0.323575i 0.738547 0.674202i \(-0.235512\pi\)
−0.0666361 + 0.997777i \(0.521227\pi\)
\(572\) 322.572 112.873i 0.563937 0.197330i
\(573\) 434.940 + 99.2722i 0.759058 + 0.173250i
\(574\) 93.7538 + 117.563i 0.163334 + 0.204814i
\(575\) 91.6092 114.874i 0.159320 0.199781i
\(576\) −90.2809 395.546i −0.156738 0.686713i
\(577\) 174.128 109.412i 0.301782 0.189622i −0.372625 0.927982i \(-0.621542\pi\)
0.674407 + 0.738360i \(0.264399\pi\)
\(578\) 33.3126 3.75343i 0.0576343 0.00649382i
\(579\) 858.093i 1.48203i
\(580\) −175.279 323.724i −0.302205 0.558144i
\(581\) 416.439 0.716762
\(582\) −80.0072 710.084i −0.137469 1.22007i
\(583\) −346.245 551.045i −0.593901 0.945189i
\(584\) −1126.11 + 257.027i −1.92827 + 0.440115i
\(585\) −475.870 379.494i −0.813454 0.648708i
\(586\) 294.253 234.659i 0.502138 0.400442i
\(587\) −110.905 + 485.906i −0.188935 + 0.827778i 0.788244 + 0.615362i \(0.210990\pi\)
−0.977179 + 0.212416i \(0.931867\pi\)
\(588\) 16.9039 + 48.3086i 0.0287482 + 0.0821575i
\(589\) 73.5124 152.650i 0.124809 0.259168i
\(590\) 441.863 703.221i 0.748920 1.19190i
\(591\) −324.197 + 926.501i −0.548556 + 1.56768i
\(592\) −37.2631 37.2631i −0.0629444 0.0629444i
\(593\) 27.9471 + 58.0328i 0.0471283 + 0.0978630i 0.923203 0.384312i \(-0.125561\pi\)
−0.876075 + 0.482175i \(0.839847\pi\)
\(594\) 251.231 + 28.3069i 0.422948 + 0.0476548i
\(595\) 88.8543 788.604i 0.149335 1.32538i
\(596\) 188.238 90.6509i 0.315836 0.152099i
\(597\) −857.922 + 857.922i −1.43706 + 1.43706i
\(598\) 82.7231 + 28.9461i 0.138333 + 0.0484048i
\(599\) −693.663 435.857i −1.15803 0.727641i −0.190826 0.981624i \(-0.561117\pi\)
−0.967209 + 0.253983i \(0.918259\pi\)
\(600\) 984.979 + 474.341i 1.64163 + 0.790568i
\(601\) −311.390 + 108.960i −0.518119 + 0.181298i −0.576655 0.816988i \(-0.695642\pi\)
0.0585361 + 0.998285i \(0.481357\pi\)
\(602\) −401.302 91.5946i −0.666615 0.152150i
\(603\) −375.088 470.345i −0.622036 0.780008i
\(604\) 156.118 195.766i 0.258474 0.324116i
\(605\) 235.158 + 1030.30i 0.388692 + 1.70297i
\(606\) 226.617 142.393i 0.373956 0.234972i
\(607\) −344.589 + 38.8258i −0.567692 + 0.0639635i −0.391145 0.920329i \(-0.627921\pi\)
−0.176546 + 0.984292i \(0.556492\pi\)
\(608\) 353.657i 0.581673i
\(609\) −699.890 208.206i −1.14924 0.341881i
\(610\) 780.384 1.27932
\(611\) 42.2048 + 374.578i 0.0690750 + 0.613057i
\(612\) 93.0737 + 148.126i 0.152081 + 0.242036i
\(613\) −869.396 + 198.434i −1.41826 + 0.323710i −0.861837 0.507186i \(-0.830686\pi\)
−0.556428 + 0.830896i \(0.687829\pi\)
\(614\) −380.909 303.764i −0.620372 0.494730i
\(615\) 356.477 284.281i 0.579637 0.462245i
\(616\) −199.591 + 874.467i −0.324012 + 1.41959i
\(617\) 130.369 + 372.572i 0.211294 + 0.603845i 0.999939 0.0110041i \(-0.00350277\pi\)
−0.788645 + 0.614849i \(0.789217\pi\)
\(618\) −169.586 + 352.150i −0.274411 + 0.569821i
\(619\) 547.850 871.898i 0.885057 1.40856i −0.0275057 0.999622i \(-0.508756\pi\)
0.912562 0.408938i \(-0.134101\pi\)
\(620\) −49.7083 + 142.058i −0.0801748 + 0.229126i
\(621\) −33.1356 33.1356i −0.0533585 0.0533585i
\(622\) −50.6918 105.263i −0.0814980 0.169232i
\(623\) −616.290 69.4393i −0.989230 0.111459i
\(624\) −35.8377 + 318.069i −0.0574323 + 0.509725i
\(625\) 353.533 170.252i 0.565652 0.272404i
\(626\) −595.106 + 595.106i −0.950649 + 0.950649i
\(627\) −854.104 298.864i −1.36221 0.476657i
\(628\) 225.174 + 141.486i 0.358558 + 0.225297i
\(629\) 119.887 + 57.7347i 0.190600 + 0.0917881i
\(630\) 445.637 155.935i 0.707360 0.247516i
\(631\) −75.0733 17.1350i −0.118975 0.0271553i 0.162619 0.986689i \(-0.448006\pi\)
−0.281594 + 0.959534i \(0.590863\pi\)
\(632\) −473.842 594.179i −0.749750 0.940157i
\(633\) −111.487 + 139.801i −0.176125 + 0.220854i
\(634\) −2.47907 10.8615i −0.00391021 0.0171317i
\(635\) 313.833 197.194i 0.494226 0.310542i
\(636\) −263.594 + 29.6999i −0.414456 + 0.0466979i
\(637\) 98.0848i 0.153979i
\(638\) 470.817 + 536.103i 0.737958 + 0.840287i
\(639\) −203.397 −0.318305
\(640\) 1.76896 + 15.7000i 0.00276400 + 0.0245312i
\(641\) −57.7855 91.9651i −0.0901490 0.143471i 0.798605 0.601855i \(-0.205571\pi\)
−0.888754 + 0.458384i \(0.848429\pi\)
\(642\) 476.386 108.732i 0.742034 0.169364i
\(643\) 353.051 + 281.549i 0.549069 + 0.437868i 0.858322 0.513112i \(-0.171508\pi\)
−0.309253 + 0.950980i \(0.600079\pi\)
\(644\) 38.4155 30.6353i 0.0596513 0.0475703i
\(645\) −277.734 + 1216.83i −0.430595 + 1.88656i
\(646\) −117.515 335.840i −0.181913 0.519876i
\(647\) −353.316 + 733.668i −0.546084 + 1.13395i 0.427160 + 0.904176i \(0.359514\pi\)
−0.973243 + 0.229778i \(0.926200\pi\)
\(648\) 449.811 715.870i 0.694153 1.10474i
\(649\) 384.254 1098.13i 0.592070 1.69204i
\(650\) −437.846 437.846i −0.673609 0.673609i
\(651\) 129.528 + 268.968i 0.198968 + 0.413161i
\(652\) −191.228 21.5462i −0.293294 0.0330463i
\(653\) −41.8389 + 371.331i −0.0640719 + 0.568653i 0.920131 + 0.391610i \(0.128082\pi\)
−0.984203 + 0.177043i \(0.943347\pi\)
\(654\) −390.315 + 187.966i −0.596811 + 0.287409i
\(655\) 470.973 470.973i 0.719043 0.719043i
\(656\) −93.8804 32.8502i −0.143110 0.0500765i
\(657\) 721.156 + 453.132i 1.09765 + 0.689699i
\(658\) −263.438 126.865i −0.400362 0.192804i
\(659\) 874.680 306.064i 1.32728 0.464436i 0.428782 0.903408i \(-0.358943\pi\)
0.898501 + 0.438971i \(0.144657\pi\)
\(660\) 783.657 + 178.865i 1.18736 + 0.271007i
\(661\) −560.439 702.769i −0.847866 1.06319i −0.997228 0.0744073i \(-0.976293\pi\)
0.149362 0.988783i \(-0.452278\pi\)
\(662\) −81.3904 + 102.060i −0.122946 + 0.154170i
\(663\) −179.846 787.958i −0.271261 1.18847i
\(664\) −475.167 + 298.567i −0.715613 + 0.449650i
\(665\) 689.676 77.7079i 1.03711 0.116854i
\(666\) 79.1641i 0.118865i
\(667\) −6.27320 132.099i −0.00940510 0.198050i
\(668\) −68.4545 −0.102477
\(669\) −61.3995 544.935i −0.0917780 0.814552i
\(670\) −578.265 920.304i −0.863083 1.37359i
\(671\) 1065.78 243.258i 1.58835 0.362530i
\(672\) 487.191 + 388.522i 0.724986 + 0.578157i
\(673\) −481.293 + 383.819i −0.715146 + 0.570310i −0.912033 0.410116i \(-0.865488\pi\)
0.196887 + 0.980426i \(0.436917\pi\)
\(674\) 114.646 502.296i 0.170097 0.745246i
\(675\) 109.350 + 312.505i 0.162000 + 0.462970i
\(676\) 7.22671 15.0064i 0.0106904 0.0221988i
\(677\) −421.002 + 670.021i −0.621864 + 0.989692i 0.376141 + 0.926562i \(0.377251\pi\)
−0.998005 + 0.0631292i \(0.979892\pi\)
\(678\) −74.8518 + 213.914i −0.110401 + 0.315508i
\(679\) 542.892 + 542.892i 0.799546 + 0.799546i
\(680\) 464.007 + 963.521i 0.682363 + 1.41694i
\(681\) 116.613 + 13.1391i 0.171238 + 0.0192939i
\(682\) 32.6602 289.867i 0.0478888 0.425025i
\(683\) 241.679 116.387i 0.353849 0.170405i −0.248511 0.968629i \(-0.579941\pi\)
0.602361 + 0.798224i \(0.294227\pi\)
\(684\) −108.183 + 108.183i −0.158163 + 0.158163i
\(685\) −356.373 124.700i −0.520253 0.182044i
\(686\) 470.328 + 295.527i 0.685609 + 0.430797i
\(687\) −1048.15 504.764i −1.52570 0.734737i
\(688\) 256.989 89.9243i 0.373530 0.130704i
\(689\) 495.612 + 113.120i 0.719321 + 0.164180i
\(690\) 128.524 + 161.164i 0.186266 + 0.233571i
\(691\) 10.6882 13.4026i 0.0154677 0.0193959i −0.774037 0.633140i \(-0.781766\pi\)
0.789505 + 0.613744i \(0.210337\pi\)
\(692\) −34.6689 151.895i −0.0500996 0.219501i
\(693\) 560.005 351.874i 0.808088 0.507755i
\(694\) −148.868 + 16.7734i −0.214507 + 0.0241691i
\(695\) 40.0908i 0.0576845i
\(696\) 947.866 264.221i 1.36188 0.379628i
\(697\) 251.146 0.360325
\(698\) 91.2241 + 809.636i 0.130693 + 1.15994i
\(699\) 214.564 + 341.476i 0.306958 + 0.488521i
\(700\) −338.449 + 77.2488i −0.483498 + 0.110355i
\(701\) −554.998 442.596i −0.791723 0.631378i 0.141800 0.989895i \(-0.454711\pi\)
−0.933523 + 0.358517i \(0.883282\pi\)
\(702\) −154.401 + 123.131i −0.219945 + 0.175400i
\(703\) −25.8953 + 113.455i −0.0368354 + 0.161387i
\(704\) −339.140 969.207i −0.481733 1.37672i
\(705\) −384.681 + 798.798i −0.545647 + 1.13305i
\(706\) 272.842 434.225i 0.386461 0.615050i
\(707\) −94.9756 + 271.425i −0.134336 + 0.383910i
\(708\) −335.314 335.314i −0.473607 0.473607i
\(709\) 397.216 + 824.828i 0.560249 + 1.16337i 0.968157 + 0.250345i \(0.0805442\pi\)
−0.407908 + 0.913023i \(0.633742\pi\)
\(710\) −365.167 41.1444i −0.514320 0.0579499i
\(711\) −62.7427 + 556.857i −0.0882458 + 0.783203i
\(712\) 752.987 362.620i 1.05757 0.509297i
\(713\) −38.2315 + 38.2315i −0.0536206 + 0.0536206i
\(714\) 591.747 + 207.061i 0.828777 + 0.290002i
\(715\) −1304.34 819.571i −1.82425 1.14625i
\(716\) −502.058 241.778i −0.701198 0.337679i
\(717\) 1370.88 479.692i 1.91197 0.669026i
\(718\) 365.838 + 83.5002i 0.509524 + 0.116295i
\(719\) −98.7345 123.809i −0.137322 0.172196i 0.708415 0.705796i \(-0.249410\pi\)
−0.845737 + 0.533600i \(0.820839\pi\)
\(720\) −194.710 + 244.159i −0.270431 + 0.339110i
\(721\) −93.4475 409.420i −0.129608 0.567851i
\(722\) −202.287 + 127.106i −0.280176 + 0.176046i
\(723\) −208.588 + 23.5022i −0.288503 + 0.0325065i
\(724\) 40.1697i 0.0554830i
\(725\) −365.017 + 860.117i −0.503472 + 1.18637i
\(726\) −834.851 −1.14993
\(727\) −85.2122 756.279i −0.117211 1.04027i −0.905318 0.424735i \(-0.860367\pi\)
0.788107 0.615538i \(-0.211061\pi\)
\(728\) −372.764 593.250i −0.512038 0.814903i
\(729\) −254.179 + 58.0147i −0.348668 + 0.0795812i
\(730\) 1203.06 + 959.406i 1.64802 + 1.31426i
\(731\) −537.501 + 428.643i −0.735296 + 0.586379i
\(732\) 99.1507 434.408i 0.135452 0.593453i
\(733\) 268.707 + 767.920i 0.366585 + 1.04764i 0.968486 + 0.249069i \(0.0801245\pi\)
−0.601901 + 0.798571i \(0.705590\pi\)
\(734\) 103.377 214.664i 0.140840 0.292458i
\(735\) 122.740 195.339i 0.166993 0.265767i
\(736\) −37.2745 + 106.525i −0.0506448 + 0.144734i
\(737\) −1076.62 1076.62i −1.46081 1.46081i
\(738\) 64.8283 + 134.617i 0.0878432 + 0.182408i
\(739\) 1094.54 + 123.325i 1.48111 + 0.166881i 0.815214 0.579160i \(-0.196619\pi\)
0.665900 + 0.746041i \(0.268048\pi\)
\(740\) 11.5742 102.724i 0.0156408 0.138816i
\(741\) 636.835 306.684i 0.859426 0.413878i
\(742\) −278.831 + 278.831i −0.375784 + 0.375784i
\(743\) −786.175 275.095i −1.05811 0.370248i −0.255534 0.966800i \(-0.582251\pi\)
−0.802575 + 0.596552i \(0.796537\pi\)
\(744\) −340.632 214.033i −0.457839 0.287679i
\(745\) −848.495 408.614i −1.13892 0.548475i
\(746\) −844.433 + 295.480i −1.13195 + 0.396085i
\(747\) 403.418 + 92.0776i 0.540051 + 0.123263i
\(748\) 276.053 + 346.159i 0.369054 + 0.462780i
\(749\) −327.337 + 410.468i −0.437032 + 0.548021i
\(750\) −72.6174 318.158i −0.0968232 0.424210i
\(751\) −163.686 + 102.851i −0.217958 + 0.136952i −0.636586 0.771206i \(-0.719654\pi\)
0.418628 + 0.908158i \(0.362511\pi\)
\(752\) 192.188 21.6544i 0.255569 0.0287957i
\(753\) 1431.78i 1.90144i
\(754\) −556.166 36.0604i −0.737621 0.0478254i
\(755\) −1128.67 −1.49492
\(756\) 12.3966 + 110.023i 0.0163976 + 0.145533i
\(757\) 39.3932 + 62.6939i 0.0520386 + 0.0828189i 0.871730 0.489986i \(-0.162998\pi\)
−0.819692 + 0.572805i \(0.805855\pi\)
\(758\) −98.8369 + 22.5589i −0.130392 + 0.0297611i
\(759\) 225.764 + 180.041i 0.297449 + 0.237208i
\(760\) −731.225 + 583.132i −0.962138 + 0.767279i
\(761\) 158.627 694.991i 0.208446 0.913261i −0.757156 0.653234i \(-0.773412\pi\)
0.965602 0.260026i \(-0.0837312\pi\)
\(762\) 96.7069 + 276.372i 0.126912 + 0.362693i
\(763\) 201.957 419.367i 0.264687 0.549629i
\(764\) 101.567 161.643i 0.132941 0.211574i
\(765\) 260.442 744.301i 0.340447 0.972942i
\(766\) −29.1367 29.1367i −0.0380375 0.0380375i
\(767\) 394.307 + 818.788i 0.514090 + 1.06752i
\(768\) −1003.73 113.093i −1.30694 0.147257i
\(769\) 54.5870 484.473i 0.0709845 0.630004i −0.906971 0.421192i \(-0.861612\pi\)
0.977956 0.208812i \(-0.0669597\pi\)
\(770\) 1076.58 518.453i 1.39815 0.673316i
\(771\) 1182.03 1182.03i 1.53311 1.53311i