Properties

Label 177.3.g.a.10.3
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.g (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.3
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.66127 - 1.06035i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(3.05402 + 2.89292i) q^{4} +(-5.63025 + 6.62844i) q^{5} +(4.38386 + 2.32417i) q^{6} +(-9.66711 - 5.81651i) q^{7} +(-0.248591 - 0.537320i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(-2.66127 - 1.06035i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(3.05402 + 2.89292i) q^{4} +(-5.63025 + 6.62844i) q^{5} +(4.38386 + 2.32417i) q^{6} +(-9.66711 - 5.81651i) q^{7} +(-0.248591 - 0.537320i) q^{8} +(2.92986 + 0.644911i) q^{9} +(22.0120 - 11.6700i) q^{10} +(3.71017 + 0.201160i) q^{11} +(-4.71696 - 5.55323i) q^{12} +(2.13917 + 9.71835i) q^{13} +(19.5592 + 25.7297i) q^{14} +(10.9360 - 10.3591i) q^{15} +(-0.819156 - 15.1084i) q^{16} +(-9.52590 + 5.73155i) q^{17} +(-7.11331 - 4.82294i) q^{18} +(5.29744 - 19.0797i) q^{19} +(-36.3705 + 3.95553i) q^{20} +(15.5565 + 11.8258i) q^{21} +(-9.66045 - 4.46940i) q^{22} +(14.2231 - 9.64348i) q^{23} +(0.327425 + 0.971763i) q^{24} +(-8.19199 - 49.9689i) q^{25} +(4.61190 - 28.1314i) q^{26} +(-4.92415 - 1.65914i) q^{27} +(-12.6968 - 45.7299i) q^{28} +(-6.46968 - 16.2377i) q^{29} +(-40.0879 + 15.9725i) q^{30} +(39.7409 - 11.0340i) q^{31} +(-14.5963 + 43.3203i) q^{32} +(-6.35086 - 1.04117i) q^{33} +(31.4284 - 5.15242i) q^{34} +(92.9826 - 31.3295i) q^{35} +(7.08218 + 10.4454i) q^{36} +(-13.7852 + 29.7962i) q^{37} +(-34.3289 + 45.1589i) q^{38} +(-1.86350 - 17.1346i) q^{39} +(4.96123 + 1.37748i) q^{40} +(-0.305876 + 0.451133i) q^{41} +(-28.8607 - 47.9668i) q^{42} +(32.0863 - 1.73967i) q^{43} +(10.7490 + 11.3476i) q^{44} +(-20.7706 + 15.7894i) q^{45} +(-48.0768 + 10.5825i) q^{46} +(-65.4692 + 55.6101i) q^{47} +(-1.41882 + 26.1686i) q^{48} +(36.6692 + 69.1655i) q^{49} +(-31.1832 + 141.667i) q^{50} +(17.4760 - 8.08524i) q^{51} +(-21.5814 + 35.8685i) q^{52} +(46.2012 - 87.1446i) q^{53} +(11.3452 + 9.63671i) q^{54} +(-22.2226 + 23.4601i) q^{55} +(-0.722172 + 6.64026i) q^{56} +(-12.6947 + 31.8612i) q^{57} +50.0729i q^{58} +(45.9817 - 36.9686i) q^{59} +63.3669 q^{60} +(69.3811 + 27.6439i) q^{61} +(-117.461 - 12.7746i) q^{62} +(-24.5722 - 23.2760i) q^{63} +(45.5978 - 53.6818i) q^{64} +(-76.4616 - 40.5374i) q^{65} +(15.7973 + 9.50493i) q^{66} +(8.65254 + 18.7022i) q^{67} +(-45.6732 - 10.0534i) q^{68} +(-26.2966 + 13.9416i) q^{69} +(-280.672 - 15.2176i) q^{70} +(26.8191 + 31.5739i) q^{71} +(-0.381813 - 1.73459i) q^{72} +(56.1939 + 73.9218i) q^{73} +(68.2803 - 64.6786i) q^{74} +(4.74820 + 87.5754i) q^{75} +(71.3744 - 42.9446i) q^{76} +(-34.6966 - 23.5249i) q^{77} +(-13.2093 + 47.5757i) q^{78} +(-35.8427 + 3.89812i) q^{79} +(104.757 + 79.6346i) q^{80} +(8.16818 + 3.77900i) q^{81} +(1.29237 - 0.876250i) q^{82} +(-5.57653 - 16.5506i) q^{83} +(13.2989 + 81.1199i) q^{84} +(15.6420 - 95.4119i) q^{85} +(-87.2349 - 29.3929i) q^{86} +(8.09934 + 29.1712i) q^{87} +(-0.814227 - 2.04356i) q^{88} +(-91.5230 + 36.4661i) q^{89} +(72.0183 - 19.9958i) q^{90} +(35.8473 - 106.391i) q^{91} +(71.3354 + 11.6948i) q^{92} +(-70.4960 + 11.5572i) q^{93} +(233.197 - 78.5732i) q^{94} +(96.6425 + 142.537i) q^{95} +(33.2459 - 71.8598i) q^{96} +(108.814 - 143.142i) q^{97} +(-24.2473 - 222.950i) q^{98} +(10.7406 + 2.98210i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.66127 1.06035i −1.33063 0.530173i −0.406992 0.913432i \(-0.633422\pi\)
−0.923641 + 0.383259i \(0.874802\pi\)
\(3\) −1.72190 0.187268i −0.573966 0.0624225i
\(4\) 3.05402 + 2.89292i 0.763505 + 0.723230i
\(5\) −5.63025 + 6.62844i −1.12605 + 1.32569i −0.186822 + 0.982394i \(0.559819\pi\)
−0.939228 + 0.343295i \(0.888457\pi\)
\(6\) 4.38386 + 2.32417i 0.730643 + 0.387362i
\(7\) −9.66711 5.81651i −1.38102 0.830930i −0.385246 0.922814i \(-0.625883\pi\)
−0.995770 + 0.0918843i \(0.970711\pi\)
\(8\) −0.248591 0.537320i −0.0310739 0.0671650i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) 22.0120 11.6700i 2.20120 1.16700i
\(11\) 3.71017 + 0.201160i 0.337288 + 0.0182872i 0.222005 0.975045i \(-0.428740\pi\)
0.115283 + 0.993333i \(0.463223\pi\)
\(12\) −4.71696 5.55323i −0.393080 0.462769i
\(13\) 2.13917 + 9.71835i 0.164552 + 0.747565i 0.984536 + 0.175180i \(0.0560508\pi\)
−0.819985 + 0.572385i \(0.806018\pi\)
\(14\) 19.5592 + 25.7297i 1.39709 + 1.83784i
\(15\) 10.9360 10.3591i 0.729067 0.690609i
\(16\) −0.819156 15.1084i −0.0511972 0.944277i
\(17\) −9.52590 + 5.73155i −0.560347 + 0.337150i −0.767388 0.641182i \(-0.778444\pi\)
0.207041 + 0.978332i \(0.433617\pi\)
\(18\) −7.11331 4.82294i −0.395184 0.267941i
\(19\) 5.29744 19.0797i 0.278813 1.00419i −0.682985 0.730432i \(-0.739319\pi\)
0.961798 0.273760i \(-0.0882675\pi\)
\(20\) −36.3705 + 3.95553i −1.81852 + 0.197776i
\(21\) 15.5565 + 11.8258i 0.740787 + 0.563132i
\(22\) −9.66045 4.46940i −0.439111 0.203154i
\(23\) 14.2231 9.64348i 0.618394 0.419282i −0.211362 0.977408i \(-0.567790\pi\)
0.829756 + 0.558126i \(0.188479\pi\)
\(24\) 0.327425 + 0.971763i 0.0136427 + 0.0404901i
\(25\) −8.19199 49.9689i −0.327679 1.99876i
\(26\) 4.61190 28.1314i 0.177381 1.08198i
\(27\) −4.92415 1.65914i −0.182376 0.0614496i
\(28\) −12.6968 45.7299i −0.453459 1.63321i
\(29\) −6.46968 16.2377i −0.223092 0.559920i 0.774242 0.632890i \(-0.218131\pi\)
−0.997334 + 0.0729703i \(0.976752\pi\)
\(30\) −40.0879 + 15.9725i −1.33626 + 0.532416i
\(31\) 39.7409 11.0340i 1.28196 0.355935i 0.441234 0.897392i \(-0.354541\pi\)
0.840729 + 0.541457i \(0.182127\pi\)
\(32\) −14.5963 + 43.3203i −0.456135 + 1.35376i
\(33\) −6.35086 1.04117i −0.192450 0.0315506i
\(34\) 31.4284 5.15242i 0.924364 0.151542i
\(35\) 92.9826 31.3295i 2.65665 0.895128i
\(36\) 7.08218 + 10.4454i 0.196727 + 0.290151i
\(37\) −13.7852 + 29.7962i −0.372573 + 0.805303i 0.627080 + 0.778955i \(0.284250\pi\)
−0.999653 + 0.0263482i \(0.991612\pi\)
\(38\) −34.3289 + 45.1589i −0.903393 + 1.18839i
\(39\) −1.86350 17.1346i −0.0477821 0.439349i
\(40\) 4.96123 + 1.37748i 0.124031 + 0.0344369i
\(41\) −0.305876 + 0.451133i −0.00746038 + 0.0110032i −0.831401 0.555673i \(-0.812461\pi\)
0.823941 + 0.566676i \(0.191771\pi\)
\(42\) −28.8607 47.9668i −0.687159 1.14207i
\(43\) 32.0863 1.73967i 0.746194 0.0404574i 0.322879 0.946440i \(-0.395349\pi\)
0.423315 + 0.905983i \(0.360867\pi\)
\(44\) 10.7490 + 11.3476i 0.244295 + 0.257899i
\(45\) −20.7706 + 15.7894i −0.461569 + 0.350876i
\(46\) −48.0768 + 10.5825i −1.04515 + 0.230054i
\(47\) −65.4692 + 55.6101i −1.39296 + 1.18319i −0.433569 + 0.901120i \(0.642746\pi\)
−0.959393 + 0.282072i \(0.908978\pi\)
\(48\) −1.41882 + 26.1686i −0.0295587 + 0.545179i
\(49\) 36.6692 + 69.1655i 0.748352 + 1.41154i
\(50\) −31.1832 + 141.667i −0.623665 + 2.83334i
\(51\) 17.4760 8.08524i 0.342666 0.158534i
\(52\) −21.5814 + 35.8685i −0.415026 + 0.689779i
\(53\) 46.2012 87.1446i 0.871720 1.64424i 0.112265 0.993678i \(-0.464189\pi\)
0.759455 0.650560i \(-0.225466\pi\)
\(54\) 11.3452 + 9.63671i 0.210096 + 0.178458i
\(55\) −22.2226 + 23.4601i −0.404046 + 0.426547i
\(56\) −0.722172 + 6.64026i −0.0128959 + 0.118576i
\(57\) −12.6947 + 31.8612i −0.222713 + 0.558968i
\(58\) 50.0729i 0.863325i
\(59\) 45.9817 36.9686i 0.779351 0.626587i
\(60\) 63.3669 1.05612
\(61\) 69.3811 + 27.6439i 1.13739 + 0.453179i 0.861374 0.507972i \(-0.169605\pi\)
0.276021 + 0.961152i \(0.410984\pi\)
\(62\) −117.461 12.7746i −1.89453 0.206042i
\(63\) −24.5722 23.2760i −0.390034 0.369460i
\(64\) 45.5978 53.6818i 0.712465 0.838779i
\(65\) −76.4616 40.5374i −1.17633 0.623652i
\(66\) 15.7973 + 9.50493i 0.239353 + 0.144014i
\(67\) 8.65254 + 18.7022i 0.129142 + 0.279137i 0.961351 0.275326i \(-0.0887858\pi\)
−0.832209 + 0.554463i \(0.812924\pi\)
\(68\) −45.6732 10.0534i −0.671665 0.147845i
\(69\) −26.2966 + 13.9416i −0.381110 + 0.202052i
\(70\) −280.672 15.2176i −4.00959 0.217394i
\(71\) 26.8191 + 31.5739i 0.377733 + 0.444702i 0.917874 0.396873i \(-0.129905\pi\)
−0.540140 + 0.841575i \(0.681629\pi\)
\(72\) −0.381813 1.73459i −0.00530296 0.0240916i
\(73\) 56.1939 + 73.9218i 0.769779 + 1.01263i 0.999227 + 0.0393061i \(0.0125147\pi\)
−0.229448 + 0.973321i \(0.573692\pi\)
\(74\) 68.2803 64.6786i 0.922707 0.874035i
\(75\) 4.74820 + 87.5754i 0.0633094 + 1.16767i
\(76\) 71.3744 42.9446i 0.939137 0.565060i
\(77\) −34.6966 23.5249i −0.450605 0.305518i
\(78\) −13.2093 + 47.5757i −0.169350 + 0.609945i
\(79\) −35.8427 + 3.89812i −0.453705 + 0.0493433i −0.332119 0.943238i \(-0.607763\pi\)
−0.121586 + 0.992581i \(0.538798\pi\)
\(80\) 104.757 + 79.6346i 1.30947 + 0.995432i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) 1.29237 0.876250i 0.0157606 0.0106860i
\(83\) −5.57653 16.5506i −0.0671872 0.199404i 0.908800 0.417232i \(-0.137000\pi\)
−0.975987 + 0.217827i \(0.930103\pi\)
\(84\) 13.2989 + 81.1199i 0.158321 + 0.965714i
\(85\) 15.6420 95.4119i 0.184023 1.12249i
\(86\) −87.2349 29.3929i −1.01436 0.341777i
\(87\) 8.09934 + 29.1712i 0.0930958 + 0.335301i
\(88\) −0.814227 2.04356i −0.00925258 0.0232222i
\(89\) −91.5230 + 36.4661i −1.02835 + 0.409732i −0.822447 0.568841i \(-0.807392\pi\)
−0.205901 + 0.978573i \(0.566013\pi\)
\(90\) 72.0183 19.9958i 0.800204 0.222175i
\(91\) 35.8473 106.391i 0.393926 1.16913i
\(92\) 71.3354 + 11.6948i 0.775385 + 0.127118i
\(93\) −70.4960 + 11.5572i −0.758021 + 0.124271i
\(94\) 233.197 78.5732i 2.48082 0.835885i
\(95\) 96.6425 + 142.537i 1.01729 + 1.50039i
\(96\) 33.2459 71.8598i 0.346311 0.748539i
\(97\) 108.814 143.142i 1.12179 1.47569i 0.261981 0.965073i \(-0.415624\pi\)
0.859809 0.510616i \(-0.170583\pi\)
\(98\) −24.2473 222.950i −0.247421 2.27500i
\(99\) 10.7406 + 2.98210i 0.108490 + 0.0301222i
\(100\) 119.538 176.305i 1.19538 1.76305i
\(101\) −1.26785 2.10718i −0.0125529 0.0208631i 0.850517 0.525947i \(-0.176289\pi\)
−0.863070 + 0.505084i \(0.831461\pi\)
\(102\) −55.0813 + 2.98642i −0.540013 + 0.0292787i
\(103\) −60.1579 63.5079i −0.584057 0.616581i 0.365259 0.930906i \(-0.380981\pi\)
−0.949316 + 0.314325i \(0.898222\pi\)
\(104\) 4.69009 3.56531i 0.0450970 0.0342819i
\(105\) −165.974 + 36.5335i −1.58070 + 0.347938i
\(106\) −215.357 + 182.926i −2.03167 + 1.72572i
\(107\) 8.23273 151.844i 0.0769414 1.41910i −0.664101 0.747643i \(-0.731186\pi\)
0.741043 0.671458i \(-0.234332\pi\)
\(108\) −10.2387 19.3122i −0.0948027 0.178817i
\(109\) 17.0095 77.2748i 0.156050 0.708943i −0.831995 0.554782i \(-0.812802\pi\)
0.988046 0.154161i \(-0.0492675\pi\)
\(110\) 84.0159 38.8699i 0.763781 0.353363i
\(111\) 29.3166 48.7245i 0.264113 0.438960i
\(112\) −79.9595 + 150.820i −0.713924 + 1.34660i
\(113\) −24.2911 20.6331i −0.214966 0.182593i 0.533434 0.845842i \(-0.320901\pi\)
−0.748399 + 0.663249i \(0.769177\pi\)
\(114\) 67.5677 71.3303i 0.592699 0.625705i
\(115\) −16.1582 + 148.572i −0.140506 + 1.29193i
\(116\) 27.2158 68.3065i 0.234619 0.588849i
\(117\) 29.8530i 0.255154i
\(118\) −161.569 + 49.6268i −1.36923 + 0.420566i
\(119\) 125.426 1.05400
\(120\) −8.28476 3.30095i −0.0690397 0.0275079i
\(121\) −106.566 11.5897i −0.880709 0.0957829i
\(122\) −155.329 147.136i −1.27319 1.20603i
\(123\) 0.611169 0.719524i 0.00496885 0.00584978i
\(124\) 153.290 + 81.2691i 1.23621 + 0.655396i
\(125\) 191.039 + 114.944i 1.52831 + 0.919555i
\(126\) 40.7125 + 87.9986i 0.323115 + 0.698401i
\(127\) −150.316 33.0871i −1.18359 0.260528i −0.420789 0.907159i \(-0.638247\pi\)
−0.762803 + 0.646630i \(0.776178\pi\)
\(128\) −16.7160 + 8.86227i −0.130594 + 0.0692365i
\(129\) −55.5752 3.01320i −0.430815 0.0233581i
\(130\) 160.501 + 188.956i 1.23462 + 1.45351i
\(131\) −14.7557 67.0356i −0.112639 0.511722i −0.998828 0.0483992i \(-0.984588\pi\)
0.886189 0.463323i \(-0.153343\pi\)
\(132\) −16.3836 21.5523i −0.124118 0.163275i
\(133\) −162.188 + 153.633i −1.21946 + 1.15513i
\(134\) −3.19596 58.9461i −0.0238505 0.439896i
\(135\) 38.7217 23.2981i 0.286827 0.172578i
\(136\) 5.44773 + 3.69365i 0.0400568 + 0.0271592i
\(137\) 49.9369 179.856i 0.364503 1.31282i −0.523124 0.852257i \(-0.675233\pi\)
0.887626 0.460564i \(-0.152353\pi\)
\(138\) 84.7651 9.21876i 0.614240 0.0668026i
\(139\) −169.630 128.950i −1.22036 0.927695i −0.221489 0.975163i \(-0.571092\pi\)
−0.998873 + 0.0474679i \(0.984885\pi\)
\(140\) 374.605 + 173.311i 2.67575 + 1.23793i
\(141\) 123.145 83.4946i 0.873371 0.592160i
\(142\) −37.8935 112.464i −0.266856 0.791999i
\(143\) 5.98175 + 36.4870i 0.0418304 + 0.255154i
\(144\) 7.34359 44.7939i 0.0509972 0.311069i
\(145\) 144.056 + 48.5383i 0.993492 + 0.334747i
\(146\) −71.1642 256.310i −0.487426 1.75555i
\(147\) −50.1882 125.963i −0.341416 0.856891i
\(148\) −128.298 + 51.1187i −0.866881 + 0.345397i
\(149\) −69.5681 + 19.3155i −0.466900 + 0.129634i −0.493008 0.870025i \(-0.664103\pi\)
0.0261077 + 0.999659i \(0.491689\pi\)
\(150\) 80.2239 238.096i 0.534826 1.58731i
\(151\) 195.490 + 32.0490i 1.29464 + 0.212245i 0.769431 0.638729i \(-0.220540\pi\)
0.525207 + 0.850975i \(0.323988\pi\)
\(152\) −11.5688 + 1.89661i −0.0761104 + 0.0124777i
\(153\) −31.6059 + 10.6493i −0.206575 + 0.0696031i
\(154\) 67.3923 + 99.3962i 0.437612 + 0.645430i
\(155\) −150.613 + 325.544i −0.971695 + 2.10028i
\(156\) 43.8779 57.7204i 0.281269 0.370002i
\(157\) 28.7237 + 264.110i 0.182953 + 1.68223i 0.621419 + 0.783479i \(0.286557\pi\)
−0.438465 + 0.898748i \(0.644478\pi\)
\(158\) 99.5202 + 27.6316i 0.629875 + 0.174884i
\(159\) −95.8730 + 141.402i −0.602975 + 0.889322i
\(160\) −204.965 340.655i −1.28103 2.12910i
\(161\) −193.587 + 10.4960i −1.20241 + 0.0651926i
\(162\) −17.7306 18.7180i −0.109448 0.115543i
\(163\) 159.685 121.389i 0.979661 0.744719i 0.0127724 0.999918i \(-0.495934\pi\)
0.966888 + 0.255200i \(0.0821412\pi\)
\(164\) −2.23924 + 0.492894i −0.0136539 + 0.00300545i
\(165\) 42.6583 36.2343i 0.258535 0.219602i
\(166\) −2.70867 + 49.9585i −0.0163173 + 0.300955i
\(167\) 64.5543 + 121.762i 0.386553 + 0.729115i 0.998069 0.0621164i \(-0.0197850\pi\)
−0.611516 + 0.791232i \(0.709440\pi\)
\(168\) 2.48701 11.2986i 0.0148037 0.0672537i
\(169\) 63.5099 29.3828i 0.375798 0.173863i
\(170\) −142.797 + 237.331i −0.839983 + 1.39606i
\(171\) 27.8255 52.4844i 0.162722 0.306926i
\(172\) 103.025 + 87.5102i 0.598983 + 0.508780i
\(173\) 139.647 147.423i 0.807208 0.852159i −0.184211 0.982887i \(-0.558973\pi\)
0.991418 + 0.130728i \(0.0417314\pi\)
\(174\) 9.37702 86.2203i 0.0538909 0.495519i
\(175\) −211.452 + 530.704i −1.20830 + 3.03259i
\(176\) 56.2196i 0.319430i
\(177\) −86.0989 + 55.0453i −0.486434 + 0.310990i
\(178\) 282.234 1.58558
\(179\) 230.646 + 91.8976i 1.28852 + 0.513395i 0.910924 0.412574i \(-0.135370\pi\)
0.377599 + 0.925969i \(0.376750\pi\)
\(180\) −109.111 11.8666i −0.606174 0.0659254i
\(181\) −92.1387 87.2784i −0.509053 0.482201i 0.389524 0.921016i \(-0.372640\pi\)
−0.898577 + 0.438815i \(0.855398\pi\)
\(182\) −208.210 + 245.124i −1.14401 + 1.34683i
\(183\) −114.290 60.5929i −0.624537 0.331109i
\(184\) −8.71736 5.24506i −0.0473770 0.0285058i
\(185\) −119.888 259.135i −0.648045 1.40073i
\(186\) 199.863 + 43.9932i 1.07453 + 0.236523i
\(187\) −36.4957 + 19.3488i −0.195164 + 0.103469i
\(188\) −360.820 19.5631i −1.91925 0.104059i
\(189\) 37.9519 + 44.6804i 0.200804 + 0.236404i
\(190\) −106.053 481.803i −0.558173 2.53581i
\(191\) 179.295 + 235.858i 0.938717 + 1.23486i 0.971896 + 0.235412i \(0.0756438\pi\)
−0.0331789 + 0.999449i \(0.510563\pi\)
\(192\) −88.5675 + 83.8956i −0.461289 + 0.436956i
\(193\) −9.10290 167.893i −0.0471653 0.869912i −0.922405 0.386223i \(-0.873779\pi\)
0.875240 0.483689i \(-0.160703\pi\)
\(194\) −441.362 + 265.559i −2.27506 + 1.36886i
\(195\) 124.068 + 84.1200i 0.636245 + 0.431385i
\(196\) −88.1018 + 317.314i −0.449499 + 1.61895i
\(197\) −253.855 + 27.6084i −1.28860 + 0.140144i −0.726640 0.687018i \(-0.758919\pi\)
−0.561963 + 0.827162i \(0.689954\pi\)
\(198\) −25.4214 19.3249i −0.128391 0.0976003i
\(199\) 270.199 + 125.007i 1.35778 + 0.628177i 0.957558 0.288240i \(-0.0930700\pi\)
0.400225 + 0.916417i \(0.368932\pi\)
\(200\) −24.8129 + 16.8235i −0.124064 + 0.0841177i
\(201\) −11.3965 33.8235i −0.0566989 0.168276i
\(202\) 1.13974 + 6.95211i 0.00564228 + 0.0344164i
\(203\) −31.9034 + 194.602i −0.157160 + 0.958632i
\(204\) 76.7619 + 25.8641i 0.376284 + 0.126785i
\(205\) −1.26815 4.56747i −0.00618610 0.0222803i
\(206\) 92.7558 + 232.799i 0.450271 + 1.13009i
\(207\) 47.8908 19.0814i 0.231357 0.0921809i
\(208\) 145.077 40.2804i 0.697485 0.193656i
\(209\) 23.4925 69.7231i 0.112404 0.333603i
\(210\) 480.438 + 78.7638i 2.28780 + 0.375066i
\(211\) −170.136 + 27.8925i −0.806334 + 0.132192i −0.550831 0.834617i \(-0.685689\pi\)
−0.255503 + 0.966808i \(0.582241\pi\)
\(212\) 393.202 132.485i 1.85473 0.624930i
\(213\) −40.2669 59.3893i −0.189047 0.278823i
\(214\) −182.916 + 395.367i −0.854749 + 1.84751i
\(215\) −169.123 + 222.477i −0.786617 + 1.03478i
\(216\) 0.332609 + 3.05829i 0.00153986 + 0.0141588i
\(217\) −448.358 124.486i −2.06617 0.573669i
\(218\) −127.205 + 187.613i −0.583508 + 0.860610i
\(219\) −82.9169 137.809i −0.378616 0.629265i
\(220\) −135.736 + 7.35940i −0.616983 + 0.0334518i
\(221\) −76.0787 80.3153i −0.344248 0.363418i
\(222\) −129.684 + 98.5832i −0.584162 + 0.444068i
\(223\) 258.774 56.9605i 1.16042 0.255428i 0.407291 0.913298i \(-0.366473\pi\)
0.753131 + 0.657870i \(0.228542\pi\)
\(224\) 393.077 333.883i 1.75481 1.49055i
\(225\) 8.22413 151.685i 0.0365517 0.674156i
\(226\) 42.7669 + 80.6670i 0.189234 + 0.356934i
\(227\) 7.41093 33.6682i 0.0326473 0.148318i −0.957477 0.288509i \(-0.906841\pi\)
0.990125 + 0.140191i \(0.0447716\pi\)
\(228\) −130.942 + 60.5800i −0.574305 + 0.265702i
\(229\) −8.07437 + 13.4197i −0.0352592 + 0.0586013i −0.873986 0.485952i \(-0.838473\pi\)
0.838726 + 0.544553i \(0.183301\pi\)
\(230\) 200.539 378.256i 0.871908 1.64459i
\(231\) 55.3385 + 47.0049i 0.239561 + 0.203485i
\(232\) −7.11653 + 7.51283i −0.0306747 + 0.0323829i
\(233\) 30.6912 282.201i 0.131722 1.21116i −0.722544 0.691325i \(-0.757027\pi\)
0.854266 0.519837i \(-0.174007\pi\)
\(234\) 31.6545 79.4468i 0.135276 0.339516i
\(235\) 747.057i 3.17897i
\(236\) 247.376 + 20.1186i 1.04821 + 0.0852484i
\(237\) 62.4474 0.263491
\(238\) −333.791 132.994i −1.40248 0.558800i
\(239\) −77.7720 8.45822i −0.325406 0.0353900i −0.0560418 0.998428i \(-0.517848\pi\)
−0.269364 + 0.963038i \(0.586814\pi\)
\(240\) −165.469 156.740i −0.689453 0.653084i
\(241\) 50.6521 59.6322i 0.210175 0.247437i −0.646966 0.762518i \(-0.723963\pi\)
0.857141 + 0.515082i \(0.172238\pi\)
\(242\) 271.311 + 143.840i 1.12112 + 0.594380i
\(243\) −13.3571 8.03669i −0.0549674 0.0330728i
\(244\) 131.919 + 285.139i 0.540653 + 1.16860i
\(245\) −664.917 146.359i −2.71395 0.597385i
\(246\) −2.38943 + 1.26679i −0.00971311 + 0.00514957i
\(247\) 196.755 + 10.6677i 0.796579 + 0.0431892i
\(248\) −15.8080 18.6106i −0.0637419 0.0750428i
\(249\) 6.50283 + 29.5427i 0.0261158 + 0.118645i
\(250\) −386.525 508.465i −1.54610 2.03386i
\(251\) 147.012 139.257i 0.585706 0.554810i −0.336414 0.941714i \(-0.609214\pi\)
0.922120 + 0.386904i \(0.126456\pi\)
\(252\) −7.70827 142.171i −0.0305884 0.564169i
\(253\) 54.7099 32.9178i 0.216245 0.130110i
\(254\) 364.948 + 247.441i 1.43680 + 0.974175i
\(255\) −44.8015 + 161.360i −0.175692 + 0.632786i
\(256\) −226.200 + 24.6007i −0.883594 + 0.0960966i
\(257\) −32.4259 24.6496i −0.126171 0.0959127i 0.540186 0.841546i \(-0.318354\pi\)
−0.666357 + 0.745633i \(0.732147\pi\)
\(258\) 144.705 + 66.9478i 0.560873 + 0.259487i
\(259\) 306.573 207.862i 1.18368 0.802554i
\(260\) −116.244 344.999i −0.447092 1.32692i
\(261\) −8.48341 51.7465i −0.0325035 0.198262i
\(262\) −31.8122 + 194.046i −0.121420 + 0.740632i
\(263\) −308.675 104.005i −1.17367 0.395455i −0.336121 0.941819i \(-0.609115\pi\)
−0.837548 + 0.546363i \(0.816012\pi\)
\(264\) 1.01932 + 3.67127i 0.00386107 + 0.0139063i
\(265\) 317.509 + 796.888i 1.19815 + 3.00712i
\(266\) 594.529 236.882i 2.23507 0.890533i
\(267\) 164.422 45.6516i 0.615814 0.170980i
\(268\) −27.6788 + 82.1479i −0.103279 + 0.306522i
\(269\) 352.366 + 57.7674i 1.30991 + 0.214749i 0.775968 0.630772i \(-0.217262\pi\)
0.533942 + 0.845521i \(0.320710\pi\)
\(270\) −127.753 + 20.9440i −0.473158 + 0.0775704i
\(271\) −77.2269 + 26.0208i −0.284970 + 0.0960176i −0.458157 0.888871i \(-0.651490\pi\)
0.173187 + 0.984889i \(0.444594\pi\)
\(272\) 94.3979 + 139.227i 0.347051 + 0.511862i
\(273\) −81.6489 + 176.481i −0.299080 + 0.646451i
\(274\) −323.605 + 425.695i −1.18104 + 1.55363i
\(275\) −20.3419 187.041i −0.0739707 0.680149i
\(276\) −120.642 33.4961i −0.437109 0.121363i
\(277\) 179.151 264.228i 0.646754 0.953890i −0.353079 0.935594i \(-0.614865\pi\)
0.999833 0.0182968i \(-0.00582436\pi\)
\(278\) 314.700 + 523.036i 1.13201 + 1.88142i
\(279\) 123.551 6.69875i 0.442836 0.0240099i
\(280\) −39.9486 42.1732i −0.142674 0.150619i
\(281\) −172.084 + 130.815i −0.612398 + 0.465533i −0.864818 0.502085i \(-0.832567\pi\)
0.252420 + 0.967618i \(0.418773\pi\)
\(282\) −416.255 + 91.6247i −1.47608 + 0.324910i
\(283\) 284.833 241.939i 1.00648 0.854909i 0.0170372 0.999855i \(-0.494577\pi\)
0.989440 + 0.144946i \(0.0463008\pi\)
\(284\) −9.43469 + 174.013i −0.0332207 + 0.612721i
\(285\) −139.716 263.532i −0.490231 0.924674i
\(286\) 22.7698 103.444i 0.0796148 0.361694i
\(287\) 5.58095 2.58202i 0.0194458 0.00899659i
\(288\) −70.7030 + 117.509i −0.245496 + 0.408018i
\(289\) −77.4778 + 146.139i −0.268089 + 0.505670i
\(290\) −331.905 281.923i −1.14450 0.972147i
\(291\) −214.172 + 226.098i −0.735985 + 0.776970i
\(292\) −42.2327 + 388.323i −0.144632 + 1.32987i
\(293\) −76.0923 + 190.977i −0.259701 + 0.651799i −0.999785 0.0207141i \(-0.993406\pi\)
0.740085 + 0.672514i \(0.234785\pi\)
\(294\) 388.438i 1.32122i
\(295\) −13.8442 + 512.930i −0.0469296 + 1.73875i
\(296\) 19.4370 0.0656655
\(297\) −17.9357 7.14623i −0.0603895 0.0240614i
\(298\) 205.620 + 22.3625i 0.690001 + 0.0750421i
\(299\) 124.144 + 117.596i 0.415198 + 0.393297i
\(300\) −238.848 + 281.193i −0.796159 + 0.937311i
\(301\) −320.301 169.813i −1.06412 0.564162i
\(302\) −486.269 292.578i −1.61016 0.968802i
\(303\) 1.78849 + 3.86577i 0.00590262 + 0.0127583i
\(304\) −292.603 64.4069i −0.962511 0.211865i
\(305\) −573.869 + 304.246i −1.88154 + 0.997528i
\(306\) 95.4036 + 5.17264i 0.311777 + 0.0169040i
\(307\) 86.1062 + 101.372i 0.280476 + 0.330202i 0.884303 0.466913i \(-0.154634\pi\)
−0.603827 + 0.797115i \(0.706358\pi\)
\(308\) −37.9084 172.220i −0.123079 0.559155i
\(309\) 91.6927 + 120.620i 0.296740 + 0.390355i
\(310\) 746.009 706.658i 2.40648 2.27954i
\(311\) −28.6397 528.227i −0.0920889 1.69848i −0.571268 0.820764i \(-0.693548\pi\)
0.479179 0.877717i \(-0.340934\pi\)
\(312\) −8.74352 + 5.26080i −0.0280241 + 0.0168615i
\(313\) 90.1241 + 61.1057i 0.287936 + 0.195226i 0.696601 0.717459i \(-0.254695\pi\)
−0.408664 + 0.912685i \(0.634005\pi\)
\(314\) 203.606 733.323i 0.648427 2.33542i
\(315\) 292.631 31.8255i 0.928987 0.101033i
\(316\) −120.741 91.7851i −0.382092 0.290459i
\(317\) 26.1175 + 12.0832i 0.0823894 + 0.0381174i 0.460651 0.887581i \(-0.347616\pi\)
−0.378262 + 0.925699i \(0.623478\pi\)
\(318\) 405.079 274.650i 1.27383 0.863680i
\(319\) −20.7372 61.5460i −0.0650070 0.192934i
\(320\) 99.1002 + 604.484i 0.309688 + 1.88901i
\(321\) −42.6113 + 259.918i −0.132746 + 0.809712i
\(322\) 526.317 + 177.337i 1.63452 + 0.550735i
\(323\) 58.8930 + 212.114i 0.182331 + 0.656698i
\(324\) 14.0134 + 35.1710i 0.0432513 + 0.108553i
\(325\) 468.091 186.505i 1.44028 0.573860i
\(326\) −553.678 + 153.728i −1.69840 + 0.471558i
\(327\) −43.7597 + 129.874i −0.133822 + 0.397168i
\(328\) 0.318441 + 0.0522057i 0.000970855 + 0.000159164i
\(329\) 956.355 156.786i 2.90685 0.476554i
\(330\) −151.946 + 51.1965i −0.460442 + 0.155141i
\(331\) 124.558 + 183.709i 0.376307 + 0.555011i 0.967935 0.251200i \(-0.0808251\pi\)
−0.591628 + 0.806211i \(0.701515\pi\)
\(332\) 30.8486 66.6782i 0.0929176 0.200838i
\(333\) −59.6046 + 78.4086i −0.178993 + 0.235461i
\(334\) −42.6860 392.492i −0.127802 1.17512i
\(335\) −172.682 47.9449i −0.515469 0.143119i
\(336\) 165.926 244.722i 0.493826 0.728339i
\(337\) −170.729 283.754i −0.506614 0.842000i 0.492993 0.870033i \(-0.335903\pi\)
−0.999607 + 0.0280339i \(0.991075\pi\)
\(338\) −200.173 + 10.8531i −0.592227 + 0.0321096i
\(339\) 37.9629 + 40.0769i 0.111985 + 0.118221i
\(340\) 323.790 246.139i 0.952324 0.723938i
\(341\) 149.665 32.9437i 0.438900 0.0966092i
\(342\) −129.702 + 110.170i −0.379247 + 0.322135i
\(343\) 17.8871 329.908i 0.0521489 0.961831i
\(344\) −8.91113 16.8082i −0.0259044 0.0488610i
\(345\) 55.6455 252.800i 0.161291 0.732753i
\(346\) −527.957 + 244.259i −1.52589 + 0.705951i
\(347\) 180.959 300.756i 0.521496 0.866732i −0.478440 0.878120i \(-0.658797\pi\)
0.999935 + 0.0113881i \(0.00362503\pi\)
\(348\) −59.6544 + 112.520i −0.171421 + 0.323334i
\(349\) −18.7243 15.9046i −0.0536513 0.0455718i 0.620160 0.784476i \(-0.287068\pi\)
−0.673811 + 0.738904i \(0.735344\pi\)
\(350\) 1125.46 1188.13i 3.21559 3.39466i
\(351\) 5.59050 51.4038i 0.0159274 0.146450i
\(352\) −62.8691 + 157.790i −0.178605 + 0.448266i
\(353\) 449.557i 1.27353i 0.771057 + 0.636766i \(0.219728\pi\)
−0.771057 + 0.636766i \(0.780272\pi\)
\(354\) 287.499 55.1956i 0.812144 0.155920i
\(355\) −360.284 −1.01488
\(356\) −385.007 153.401i −1.08148 0.430901i
\(357\) −215.970 23.4881i −0.604958 0.0657931i
\(358\) −516.366 489.128i −1.44236 1.36628i
\(359\) 180.148 212.087i 0.501806 0.590771i −0.451691 0.892174i \(-0.649179\pi\)
0.953497 + 0.301403i \(0.0974549\pi\)
\(360\) 13.6474 + 7.23537i 0.0379093 + 0.0200982i
\(361\) −26.6450 16.0318i −0.0738089 0.0444094i
\(362\) 152.660 + 329.970i 0.421713 + 0.911519i
\(363\) 181.325 + 39.9127i 0.499518 + 0.109952i
\(364\) 417.259 221.217i 1.14632 0.607738i
\(365\) −806.372 43.7202i −2.20924 0.119781i
\(366\) 239.907 + 282.441i 0.655485 + 0.771696i
\(367\) 81.6925 + 371.133i 0.222595 + 1.01126i 0.946837 + 0.321715i \(0.104259\pi\)
−0.724241 + 0.689547i \(0.757810\pi\)
\(368\) −157.349 206.989i −0.427578 0.562470i
\(369\) −1.18711 + 1.12449i −0.00321711 + 0.00304741i
\(370\) 44.2828 + 816.749i 0.119683 + 2.20743i
\(371\) −953.509 + 573.707i −2.57011 + 1.54638i
\(372\) −248.730 168.643i −0.668630 0.453342i
\(373\) −27.7475 + 99.9374i −0.0743901 + 0.267929i −0.991387 0.130966i \(-0.958192\pi\)
0.916997 + 0.398894i \(0.130606\pi\)
\(374\) 117.641 12.7942i 0.314548 0.0342092i
\(375\) −307.424 233.698i −0.819798 0.623194i
\(376\) 46.1555 + 21.3538i 0.122754 + 0.0567920i
\(377\) 143.964 97.6098i 0.381866 0.258912i
\(378\) −53.6234 159.149i −0.141861 0.421028i
\(379\) −94.1977 574.581i −0.248543 1.51604i −0.756117 0.654436i \(-0.772906\pi\)
0.507575 0.861608i \(-0.330542\pi\)
\(380\) −117.200 + 714.890i −0.308422 + 1.88129i
\(381\) 252.633 + 85.1219i 0.663078 + 0.223417i
\(382\) −227.060 817.796i −0.594398 2.14083i
\(383\) 50.0643 + 125.652i 0.130716 + 0.328073i 0.979738 0.200286i \(-0.0641870\pi\)
−0.849021 + 0.528359i \(0.822808\pi\)
\(384\) 30.4429 12.1296i 0.0792784 0.0315874i
\(385\) 351.283 97.5334i 0.912425 0.253333i
\(386\) −153.799 + 456.460i −0.398444 + 1.18254i
\(387\) 95.1304 + 15.5958i 0.245815 + 0.0402993i
\(388\) 746.417 122.369i 1.92376 0.315384i
\(389\) −244.748 + 82.4651i −0.629171 + 0.211993i −0.615780 0.787918i \(-0.711159\pi\)
−0.0133910 + 0.999910i \(0.504263\pi\)
\(390\) −240.981 355.420i −0.617900 0.911334i
\(391\) −80.2156 + 173.383i −0.205155 + 0.443435i
\(392\) 28.0484 36.8971i 0.0715521 0.0941251i
\(393\) 12.8541 + 118.192i 0.0327077 + 0.300742i
\(394\) 704.850 + 195.701i 1.78896 + 0.496702i
\(395\) 175.965 259.528i 0.445480 0.657034i
\(396\) 24.1749 + 40.1790i 0.0610477 + 0.101462i
\(397\) −119.222 + 6.46404i −0.300308 + 0.0162822i −0.203677 0.979038i \(-0.565289\pi\)
−0.0966307 + 0.995320i \(0.530807\pi\)
\(398\) −586.520 619.182i −1.47367 1.55573i
\(399\) 308.041 234.167i 0.772033 0.586885i
\(400\) −748.242 + 164.700i −1.87060 + 0.411751i
\(401\) 182.416 154.946i 0.454903 0.386398i −0.390434 0.920631i \(-0.627675\pi\)
0.845338 + 0.534232i \(0.179399\pi\)
\(402\) −5.53557 + 102.098i −0.0137701 + 0.253974i
\(403\) 192.245 + 362.612i 0.477034 + 0.899782i
\(404\) 2.22387 10.1031i 0.00550462 0.0250078i
\(405\) −71.0378 + 32.8656i −0.175402 + 0.0811496i
\(406\) 291.249 484.060i 0.717362 1.19227i
\(407\) −57.1392 + 107.776i −0.140391 + 0.264806i
\(408\) −8.68873 7.38027i −0.0212959 0.0180889i
\(409\) −275.534 + 290.878i −0.673678 + 0.711193i −0.969785 0.243961i \(-0.921553\pi\)
0.296107 + 0.955155i \(0.404312\pi\)
\(410\) −1.46820 + 13.4999i −0.00358099 + 0.0329266i
\(411\) −119.668 + 300.343i −0.291162 + 0.730761i
\(412\) 367.986i 0.893171i
\(413\) −659.539 + 89.9267i −1.59695 + 0.217740i
\(414\) −147.683 −0.356722
\(415\) 141.102 + 56.2201i 0.340004 + 0.135470i
\(416\) −452.226 49.1826i −1.08708 0.118227i
\(417\) 267.938 + 253.804i 0.642537 + 0.608643i
\(418\) −136.450 + 160.642i −0.326436 + 0.384310i
\(419\) 177.452 + 94.0793i 0.423514 + 0.224533i 0.666513 0.745494i \(-0.267786\pi\)
−0.242999 + 0.970027i \(0.578131\pi\)
\(420\) −612.575 368.574i −1.45851 0.877558i
\(421\) 209.326 + 452.451i 0.497212 + 1.07471i 0.980005 + 0.198971i \(0.0637600\pi\)
−0.482794 + 0.875734i \(0.660378\pi\)
\(422\) 482.354 + 106.174i 1.14302 + 0.251597i
\(423\) −227.679 + 120.708i −0.538249 + 0.285362i
\(424\) −58.3098 3.16146i −0.137523 0.00745628i
\(425\) 364.435 + 429.046i 0.857494 + 1.00952i
\(426\) 44.1879 + 200.748i 0.103727 + 0.471238i
\(427\) −509.923 670.793i −1.19420 1.57094i
\(428\) 464.415 439.917i 1.08508 1.02784i
\(429\) −3.46711 63.9471i −0.00808185 0.149061i
\(430\) 685.983 412.742i 1.59531 0.959866i
\(431\) −355.348 240.932i −0.824473 0.559007i 0.0743936 0.997229i \(-0.476298\pi\)
−0.898867 + 0.438222i \(0.855608\pi\)
\(432\) −21.0334 + 75.7553i −0.0486883 + 0.175360i
\(433\) −1.18164 + 0.128511i −0.00272897 + 0.000296793i −0.109483 0.993989i \(-0.534920\pi\)
0.106754 + 0.994285i \(0.465954\pi\)
\(434\) 1061.20 + 806.705i 2.44517 + 1.85877i
\(435\) −238.961 110.555i −0.549335 0.254149i
\(436\) 275.497 186.792i 0.631875 0.428422i
\(437\) −108.648 322.457i −0.248623 0.737888i
\(438\) 74.5389 + 454.667i 0.170180 + 1.03805i
\(439\) −21.2127 + 129.391i −0.0483204 + 0.294741i −0.999921 0.0125971i \(-0.995990\pi\)
0.951600 + 0.307338i \(0.0994384\pi\)
\(440\) 18.1299 + 6.10867i 0.0412043 + 0.0138833i
\(441\) 62.8302 + 226.294i 0.142472 + 0.513138i
\(442\) 117.304 + 294.410i 0.265393 + 0.666086i
\(443\) 51.8031 20.6403i 0.116937 0.0465920i −0.310936 0.950431i \(-0.600642\pi\)
0.427873 + 0.903839i \(0.359263\pi\)
\(444\) 230.490 63.9951i 0.519121 0.144133i
\(445\) 273.584 811.969i 0.614796 1.82465i
\(446\) −749.065 122.803i −1.67952 0.275343i
\(447\) 123.406 20.2314i 0.276077 0.0452605i
\(448\) −753.039 + 253.728i −1.68089 + 0.566358i
\(449\) 283.556 + 418.214i 0.631528 + 0.931434i 0.999998 + 0.00179480i \(0.000571303\pi\)
−0.368470 + 0.929640i \(0.620118\pi\)
\(450\) −182.725 + 394.954i −0.406056 + 0.877675i
\(451\) −1.22560 + 1.61225i −0.00271752 + 0.00357483i
\(452\) −14.4957 133.286i −0.0320702 0.294881i
\(453\) −330.613 91.7942i −0.729829 0.202636i
\(454\) −55.4223 + 81.7418i −0.122076 + 0.180048i
\(455\) 503.377 + 836.619i 1.10632 + 1.83872i
\(456\) 20.2754 1.09930i 0.0444637 0.00241075i
\(457\) 160.074 + 168.988i 0.350272 + 0.369778i 0.877194 0.480136i \(-0.159413\pi\)
−0.526922 + 0.849914i \(0.676654\pi\)
\(458\) 35.7175 27.1518i 0.0779859 0.0592833i
\(459\) 56.4164 12.4182i 0.122912 0.0270549i
\(460\) −479.155 + 406.998i −1.04164 + 0.884777i
\(461\) −4.84068 + 89.2812i −0.0105004 + 0.193668i 0.988577 + 0.150718i \(0.0481585\pi\)
−0.999077 + 0.0429505i \(0.986324\pi\)
\(462\) −97.4290 183.770i −0.210885 0.397772i
\(463\) 25.1801 114.394i 0.0543846 0.247072i −0.941583 0.336780i \(-0.890662\pi\)
0.995968 + 0.0897077i \(0.0285933\pi\)
\(464\) −240.026 + 111.048i −0.517298 + 0.239327i
\(465\) 320.304 532.349i 0.688825 1.14484i
\(466\) −380.907 + 718.468i −0.817398 + 1.54178i
\(467\) −180.555 153.365i −0.386627 0.328404i 0.432903 0.901441i \(-0.357489\pi\)
−0.819530 + 0.573037i \(0.805765\pi\)
\(468\) −86.3624 + 91.1717i −0.184535 + 0.194811i
\(469\) 25.1362 231.123i 0.0535953 0.492800i
\(470\) −792.139 + 1988.12i −1.68540 + 4.23004i
\(471\) 460.149i 0.976961i
\(472\) −31.2946 15.5169i −0.0663022 0.0328747i
\(473\) 119.396 0.252422
\(474\) −166.189 66.2158i −0.350610 0.139696i
\(475\) −996.786 108.407i −2.09850 0.228225i
\(476\) 383.052 + 362.846i 0.804731 + 0.762282i
\(477\) 191.564 225.526i 0.401601 0.472801i
\(478\) 198.003 + 104.975i 0.414233 + 0.219612i
\(479\) 481.594 + 289.766i 1.00542 + 0.604939i 0.920210 0.391424i \(-0.128018\pi\)
0.0852062 + 0.996363i \(0.472845\pi\)
\(480\) 289.136 + 624.957i 0.602366 + 1.30199i
\(481\) −319.059 70.2302i −0.663324 0.146009i
\(482\) −198.029 + 104.988i −0.410849 + 0.217818i
\(483\) 335.303 + 18.1796i 0.694209 + 0.0376389i
\(484\) −291.926 343.682i −0.603153 0.710086i
\(485\) 336.160 + 1527.19i 0.693113 + 3.14884i
\(486\) 27.0251 + 35.5509i 0.0556072 + 0.0731500i
\(487\) 207.049 196.127i 0.425151 0.402725i −0.444983 0.895539i \(-0.646790\pi\)
0.870135 + 0.492814i \(0.164032\pi\)
\(488\) −2.39385 44.1519i −0.00490542 0.0904752i
\(489\) −297.693 + 179.116i −0.608779 + 0.366290i
\(490\) 1614.33 + 1094.54i 3.29455 + 2.23376i
\(491\) 170.613 614.493i 0.347481 1.25151i −0.558965 0.829191i \(-0.688801\pi\)
0.906446 0.422322i \(-0.138785\pi\)
\(492\) 3.94805 0.429376i 0.00802449 0.000872715i
\(493\) 154.697 + 117.597i 0.313786 + 0.238534i
\(494\) −512.306 237.018i −1.03706 0.479793i
\(495\) −80.2387 + 54.4032i −0.162098 + 0.109905i
\(496\) −199.260 591.384i −0.401735 1.19231i
\(497\) −75.6134 461.221i −0.152140 0.928011i
\(498\) 14.0197 85.5162i 0.0281519 0.171719i
\(499\) −162.234 54.6629i −0.325118 0.109545i 0.152010 0.988379i \(-0.451425\pi\)
−0.477127 + 0.878834i \(0.658322\pi\)
\(500\) 250.912 + 903.703i 0.501824 + 1.80741i
\(501\) −88.3537 221.751i −0.176355 0.442617i
\(502\) −538.899 + 214.717i −1.07350 + 0.427723i
\(503\) −65.9795 + 18.3191i −0.131172 + 0.0364197i −0.332494 0.943105i \(-0.607890\pi\)
0.201322 + 0.979525i \(0.435476\pi\)
\(504\) −6.39825 + 18.9893i −0.0126949 + 0.0376772i
\(505\) 21.1056 + 3.46008i 0.0417932 + 0.00685165i
\(506\) −180.502 + 29.5918i −0.356723 + 0.0584817i
\(507\) −114.860 + 38.7009i −0.226548 + 0.0763331i
\(508\) −363.350 535.902i −0.715256 1.05492i
\(509\) −90.8469 + 196.362i −0.178481 + 0.385781i −0.976081 0.217406i \(-0.930240\pi\)
0.797600 + 0.603187i \(0.206103\pi\)
\(510\) 290.326 381.918i 0.569267 0.748858i
\(511\) −113.266 1041.46i −0.221655 2.03809i
\(512\) 700.985 + 194.628i 1.36911 + 0.380132i
\(513\) −57.7412 + 85.1619i −0.112556 + 0.166008i
\(514\) 60.1570 + 99.9817i 0.117037 + 0.194517i
\(515\) 759.662 41.1877i 1.47507 0.0799761i
\(516\) −161.011 169.977i −0.312036 0.329413i
\(517\) −254.088 + 193.153i −0.491467 + 0.373603i
\(518\) −1036.28 + 228.102i −2.00053 + 0.440351i
\(519\) −268.065 + 227.697i −0.516504 + 0.438722i
\(520\) −2.77390 + 51.1616i −0.00533442 + 0.0983877i
\(521\) −276.600 521.723i −0.530903 1.00139i −0.993393 0.114764i \(-0.963389\pi\)
0.462490 0.886624i \(-0.346956\pi\)
\(522\) −32.2925 + 146.707i −0.0618631 + 0.281047i
\(523\) −628.739 + 290.886i −1.20218 + 0.556187i −0.915686 0.401895i \(-0.868352\pi\)
−0.286493 + 0.958082i \(0.592490\pi\)
\(524\) 148.865 247.415i 0.284093 0.472166i
\(525\) 463.482 874.219i 0.882822 1.66518i
\(526\) 711.185 + 604.086i 1.35206 + 1.14845i
\(527\) −315.326 + 332.885i −0.598341 + 0.631661i
\(528\) −10.5281 + 96.8045i −0.0199396 + 0.183342i
\(529\) −86.5041 + 217.109i −0.163524 + 0.410414i
\(530\) 2457.40i 4.63660i
\(531\) 158.562 78.6588i 0.298609 0.148133i
\(532\) −939.772 −1.76649
\(533\) −5.03859 2.00756i −0.00945326 0.00376652i
\(534\) −485.978 52.8533i −0.910070 0.0989761i
\(535\) 960.135 + 909.488i 1.79465 + 1.69998i
\(536\) 7.89811 9.29837i 0.0147353 0.0173477i
\(537\) −379.939 201.431i −0.707521 0.375104i
\(538\) −876.486 527.364i −1.62916 0.980230i
\(539\) 122.136 + 263.992i 0.226597 + 0.489781i
\(540\) 185.656 + 40.8661i 0.343808 + 0.0756779i
\(541\) 131.168 69.5409i 0.242455 0.128541i −0.342751 0.939426i \(-0.611359\pi\)
0.585206 + 0.810885i \(0.301014\pi\)
\(542\) 233.112 + 12.6390i 0.430096 + 0.0233191i
\(543\) 142.309 + 167.539i 0.262079 + 0.308543i
\(544\) −109.249 496.325i −0.200826 0.912362i
\(545\) 416.444 + 547.823i 0.764118 + 1.00518i
\(546\) 404.420 383.087i 0.740696 0.701625i
\(547\) 18.8650 + 347.944i 0.0344880 + 0.636095i 0.963772 + 0.266728i \(0.0859426\pi\)
−0.929284 + 0.369367i \(0.879575\pi\)
\(548\) 672.819 404.822i 1.22777 0.738726i
\(549\) 185.449 + 125.738i 0.337794 + 0.229030i
\(550\) −144.193 + 519.335i −0.262169 + 0.944246i
\(551\) −344.082 + 37.4212i −0.624468 + 0.0679150i
\(552\) 14.0282 + 10.6639i 0.0254134 + 0.0193187i
\(553\) 369.168 + 170.796i 0.667574 + 0.308853i
\(554\) −756.940 + 513.218i −1.36632 + 0.926387i
\(555\) 157.908 + 468.654i 0.284519 + 0.844422i
\(556\) −145.013 884.542i −0.260815 1.59090i
\(557\) 70.8675 432.273i 0.127231 0.776073i −0.843718 0.536786i \(-0.819638\pi\)
0.970949 0.239287i \(-0.0769136\pi\)
\(558\) −335.905 113.180i −0.601981 0.202831i
\(559\) 85.5449 + 308.105i 0.153032 + 0.551171i
\(560\) −549.507 1379.16i −0.981262 2.46278i
\(561\) 66.4652 26.4822i 0.118476 0.0472053i
\(562\) 596.670 165.665i 1.06169 0.294777i
\(563\) 184.697 548.160i 0.328058 0.973641i −0.649022 0.760769i \(-0.724822\pi\)
0.977080 0.212872i \(-0.0682816\pi\)
\(564\) 617.631 + 101.256i 1.09509 + 0.179531i
\(565\) 273.530 44.8430i 0.484124 0.0793681i
\(566\) −1014.56 + 341.843i −1.79250 + 0.603964i
\(567\) −56.9821 84.0423i −0.100498 0.148223i
\(568\) 10.2983 22.2594i 0.0181308 0.0391891i
\(569\) 396.404 521.460i 0.696667 0.916450i −0.302661 0.953098i \(-0.597875\pi\)
0.999328 + 0.0366484i \(0.0116682\pi\)
\(570\) 92.3861 + 849.476i 0.162081 + 1.49031i
\(571\) 712.962 + 197.953i 1.24862 + 0.346678i 0.828087 0.560599i \(-0.189429\pi\)
0.420533 + 0.907277i \(0.361843\pi\)
\(572\) −87.2858 + 128.737i −0.152597 + 0.225064i
\(573\) −264.559 439.700i −0.461708 0.767365i
\(574\) −17.5902 + 0.953714i −0.0306450 + 0.00166152i
\(575\) −598.389 631.712i −1.04068 1.09863i
\(576\) 168.215 127.874i 0.292040 0.222003i
\(577\) −555.849 + 122.352i −0.963344 + 0.212048i −0.668678 0.743552i \(-0.733139\pi\)
−0.294666 + 0.955600i \(0.595208\pi\)
\(578\) 361.146 306.761i 0.624821 0.530728i
\(579\) −15.7667 + 290.799i −0.0272309 + 0.502244i
\(580\) 299.534 + 564.981i 0.516438 + 0.974104i
\(581\) −42.3575 + 192.432i −0.0729045 + 0.331208i
\(582\) 809.710 374.612i 1.39125 0.643663i
\(583\) 188.944 314.028i 0.324089 0.538641i
\(584\) 25.7504 48.5704i 0.0440931 0.0831685i
\(585\) −197.879 168.080i −0.338255 0.287316i
\(586\) 405.004 427.557i 0.691132 0.729620i
\(587\) 2.38564 21.9356i 0.00406412 0.0373690i −0.991930 0.126784i \(-0.959534\pi\)
0.995994 + 0.0894154i \(0.0284999\pi\)
\(588\) 211.125 529.884i 0.359056 0.901163i
\(589\) 816.694i 1.38658i
\(590\) 580.726 1350.36i 0.984281 2.28875i
\(591\) 442.282 0.748362
\(592\) 461.467 + 183.865i 0.779504 + 0.310583i
\(593\) 315.327 + 34.2939i 0.531750 + 0.0578312i 0.370055 0.929010i \(-0.379339\pi\)
0.161694 + 0.986841i \(0.448304\pi\)
\(594\) 40.1541 + 38.0360i 0.0675996 + 0.0640337i
\(595\) −706.177 + 831.376i −1.18685 + 1.39727i
\(596\) −268.340 142.265i −0.450236 0.238700i
\(597\) −441.845 265.849i −0.740109 0.445309i
\(598\) −205.689 444.589i −0.343961 0.743460i
\(599\) −363.444 80.0001i −0.606752 0.133556i −0.0990403 0.995083i \(-0.531577\pi\)
−0.507711 + 0.861527i \(0.669508\pi\)
\(600\) 45.8757 24.3218i 0.0764595 0.0405363i
\(601\) 513.400 + 27.8357i 0.854242 + 0.0463157i 0.476057 0.879414i \(-0.342065\pi\)
0.378185 + 0.925730i \(0.376548\pi\)
\(602\) 672.345 + 791.546i 1.11685 + 1.31486i
\(603\) 13.2895 + 60.3748i 0.0220390 + 0.100124i
\(604\) 504.316 + 663.417i 0.834961 + 1.09837i
\(605\) 676.814 641.112i 1.11870 1.05969i
\(606\) −0.660611 12.1843i −0.00109012 0.0201060i
\(607\) 328.136 197.433i 0.540587 0.325261i −0.218938 0.975739i \(-0.570259\pi\)
0.759525 + 0.650478i \(0.225432\pi\)
\(608\) 749.214 + 507.980i 1.23226 + 0.835493i
\(609\) 91.3772 329.111i 0.150045 0.540412i
\(610\) 1849.82 201.180i 3.03250 0.329804i
\(611\) −680.488 517.294i −1.11373 0.846634i
\(612\) −127.333 58.9103i −0.208060 0.0962587i
\(613\) 331.324 224.643i 0.540496 0.366465i −0.260183 0.965559i \(-0.583783\pi\)
0.800679 + 0.599094i \(0.204472\pi\)
\(614\) −121.662 361.080i −0.198147 0.588078i
\(615\) 1.32829 + 8.10219i 0.00215982 + 0.0131743i
\(616\) −4.01513 + 24.4912i −0.00651807 + 0.0397585i
\(617\) 1044.77 + 352.026i 1.69331 + 0.570544i 0.990091 0.140426i \(-0.0448471\pi\)
0.703223 + 0.710970i \(0.251744\pi\)
\(618\) −116.120 418.227i −0.187897 0.676742i
\(619\) −387.521 972.604i −0.626043 1.57125i −0.808794 0.588091i \(-0.799880\pi\)
0.182751 0.983159i \(-0.441500\pi\)
\(620\) −1401.75 + 558.507i −2.26088 + 0.900818i
\(621\) −86.0364 + 23.8879i −0.138545 + 0.0384668i
\(622\) −483.886 + 1436.12i −0.777951 + 2.30888i
\(623\) 1096.87 + 179.823i 1.76062 + 0.288640i
\(624\) −257.351 + 42.1905i −0.412421 + 0.0676130i
\(625\) −637.866 + 214.922i −1.02059 + 0.343876i
\(626\) −175.051 258.181i −0.279634 0.412430i
\(627\) −53.5085 + 115.657i −0.0853405 + 0.184460i
\(628\) −676.326 + 889.691i −1.07695 + 1.41671i
\(629\) −39.4619 362.846i −0.0627376 0.576862i
\(630\) −812.515 225.594i −1.28971 0.358085i
\(631\) −151.388 + 223.280i −0.239917 + 0.353851i −0.928517 0.371291i \(-0.878915\pi\)
0.688600 + 0.725142i \(0.258226\pi\)
\(632\) 11.0047 + 18.2900i 0.0174125 + 0.0289398i
\(633\) 298.181 16.1669i 0.471060 0.0255401i
\(634\) −56.6931 59.8502i −0.0894213 0.0944009i
\(635\) 1065.63 810.073i 1.67816 1.27571i
\(636\) −701.863 + 154.492i −1.10356 + 0.242912i
\(637\) −593.733 + 504.322i −0.932077 + 0.791714i
\(638\) −10.0726 + 185.779i −0.0157878 + 0.291189i
\(639\) 58.2138 + 109.803i 0.0911015 + 0.171836i
\(640\) 35.3723 160.698i 0.0552692 0.251091i
\(641\) −915.226 + 423.428i −1.42781 + 0.660575i −0.973167 0.230100i \(-0.926095\pi\)
−0.454642 + 0.890674i \(0.650233\pi\)
\(642\) 389.002 646.527i 0.605923 1.00705i
\(643\) −202.027 + 381.063i −0.314194 + 0.592633i −0.989437 0.144962i \(-0.953694\pi\)
0.675243 + 0.737595i \(0.264039\pi\)
\(644\) −621.584 527.978i −0.965192 0.819842i
\(645\) 332.875 351.412i 0.516085 0.544824i
\(646\) 68.1835 626.937i 0.105547 0.970491i
\(647\) 230.612 578.793i 0.356433 0.894580i −0.635988 0.771699i \(-0.719407\pi\)
0.992421 0.122881i \(-0.0392134\pi\)
\(648\) 5.32835i 0.00822277i
\(649\) 178.037 127.910i 0.274325 0.197088i
\(650\) −1443.47 −2.22073
\(651\) 748.715 + 298.315i 1.15010 + 0.458242i
\(652\) 838.850 + 91.2304i 1.28658 + 0.139924i
\(653\) −359.124 340.180i −0.549960 0.520950i 0.361481 0.932379i \(-0.382271\pi\)
−0.911442 + 0.411429i \(0.865030\pi\)
\(654\) 254.167 299.229i 0.388635 0.457537i
\(655\) 527.420 + 279.620i 0.805221 + 0.426901i
\(656\) 7.06647 + 4.25175i 0.0107721 + 0.00648133i
\(657\) 116.967 + 252.821i 0.178032 + 0.384811i
\(658\) −2711.36 596.816i −4.12061 0.907015i
\(659\) 546.200 289.577i 0.828832 0.439419i 0.000732205 1.00000i \(-0.499767\pi\)
0.828100 + 0.560581i \(0.189422\pi\)
\(660\) 235.102 + 12.7469i 0.356215 + 0.0193134i
\(661\) 58.3094 + 68.6471i 0.0882139 + 0.103853i 0.804498 0.593955i \(-0.202434\pi\)
−0.716284 + 0.697809i \(0.754159\pi\)
\(662\) −136.686 620.972i −0.206475 0.938023i
\(663\) 115.959 + 152.542i 0.174901 + 0.230078i
\(664\) −7.50668 + 7.11070i −0.0113052 + 0.0107089i
\(665\) −105.186 1940.04i −0.158175 2.91736i
\(666\) 241.764 145.465i 0.363009 0.218415i
\(667\) −248.606 168.559i −0.372723 0.252713i
\(668\) −155.099 + 558.615i −0.232184 + 0.836250i
\(669\) −456.250 + 49.6201i −0.681987 + 0.0741706i
\(670\) 408.715 + 310.697i 0.610022 + 0.463727i
\(671\) 251.855 + 116.520i 0.375342 + 0.173652i
\(672\) −739.364 + 501.301i −1.10024 + 0.745984i
\(673\) −85.5522 253.910i −0.127121 0.377281i 0.865128 0.501552i \(-0.167237\pi\)
−0.992248 + 0.124271i \(0.960341\pi\)
\(674\) 153.478 + 936.176i 0.227713 + 1.38899i
\(675\) −42.5668 + 259.646i −0.0630619 + 0.384661i
\(676\) 278.963 + 93.9935i 0.412667 + 0.139044i
\(677\) −46.8553 168.758i −0.0692102 0.249273i 0.920850 0.389917i \(-0.127496\pi\)
−0.990060 + 0.140645i \(0.955083\pi\)
\(678\) −58.5339 146.909i −0.0863333 0.216680i
\(679\) −1884.50 + 750.853i −2.77540 + 1.10582i
\(680\) −55.1552 + 15.3138i −0.0811106 + 0.0225203i
\(681\) −19.0658 + 56.5853i −0.0279968 + 0.0830915i
\(682\) −433.230 71.0244i −0.635234 0.104141i
\(683\) −12.0713 + 1.97900i −0.0176740 + 0.00289751i −0.170613 0.985338i \(-0.554575\pi\)
0.152939 + 0.988236i \(0.451126\pi\)
\(684\) 236.813 79.7915i 0.346217 0.116654i
\(685\) 911.011 + 1343.64i 1.32994 + 1.96152i
\(686\) −397.418 + 859.006i −0.579327 + 1.25220i
\(687\) 16.4163 21.5953i 0.0238956 0.0314342i
\(688\) −52.5674 483.349i −0.0764061 0.702543i
\(689\) 945.734 + 262.582i 1.37262 + 0.381106i
\(690\) −416.142 + 613.764i −0.603105 + 0.889513i
\(691\) −150.377 249.928i −0.217622 0.361691i 0.728744 0.684786i \(-0.240104\pi\)
−0.946367 + 0.323095i \(0.895277\pi\)
\(692\) 852.969 46.2466i 1.23261 0.0668304i
\(693\) −86.4847 91.3008i −0.124798 0.131747i
\(694\) −800.485 + 608.513i −1.15344 + 0.876820i
\(695\) 1809.80 398.366i 2.60402 0.573189i
\(696\) 13.6608 11.6036i 0.0196276 0.0166719i
\(697\) 0.328053 6.05059i 0.000470665 0.00868090i
\(698\) 32.9660 + 62.1805i 0.0472292 + 0.0890838i
\(699\) −105.694 + 480.173i −0.151208 + 0.686943i
\(700\) −2181.06 + 1009.07i −3.11580 + 1.44152i
\(701\) 279.603 464.704i 0.398863 0.662915i −0.590721 0.806876i \(-0.701156\pi\)
0.989583 + 0.143961i \(0.0459840\pi\)
\(702\) −69.3836 + 130.871i −0.0988370 + 0.186426i
\(703\) 495.475 + 420.861i 0.704801 + 0.598664i
\(704\) 179.974 189.996i 0.255645 0.269881i
\(705\) −139.900 + 1286.36i −0.198439 + 1.82462i
\(706\) 476.685 1196.39i 0.675192 1.69460i
\(707\) 27.7447i 0.0392429i
\(708\) −422.189 80.9678i −0.596313 0.114361i
\(709\) −1188.59 −1.67643 −0.838213 0.545342i \(-0.816400\pi\)
−0.838213 + 0.545342i \(0.816400\pi\)
\(710\) 958.810 + 382.025i 1.35044 + 0.538063i
\(711\) −107.528 11.6944i −0.151235 0.0164478i
\(712\) 42.3458 + 40.1120i 0.0594744 + 0.0563371i
\(713\) 458.831 540.177i 0.643522 0.757612i
\(714\) 549.848 + 291.511i 0.770095 + 0.408278i
\(715\) −275.531 165.781i −0.385358 0.231862i
\(716\) 438.544 + 947.897i 0.612491 + 1.32388i
\(717\) 132.332 + 29.1284i 0.184563 + 0.0406253i
\(718\) −704.308 + 373.400i −0.980930 + 0.520056i
\(719\) −323.692 17.5501i −0.450197 0.0244090i −0.172353 0.985035i \(-0.555137\pi\)
−0.277844 + 0.960626i \(0.589620\pi\)
\(720\) 255.568 + 300.877i 0.354955 + 0.417885i
\(721\) 212.159 + 963.846i 0.294256 + 1.33682i
\(722\) 53.9103 + 70.9177i 0.0746680 + 0.0982240i
\(723\) −98.3848 + 93.1951i −0.136079 + 0.128901i
\(724\) −28.9038 533.100i −0.0399224 0.736326i
\(725\) −758.379 + 456.302i −1.04604 + 0.629382i
\(726\) −440.233 298.485i −0.606381 0.411137i
\(727\) 85.5196 308.014i 0.117634 0.423678i −0.881158 0.472822i \(-0.843236\pi\)
0.998792 + 0.0491439i \(0.0156493\pi\)
\(728\) −66.0773 + 7.18634i −0.0907655 + 0.00987134i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) 2099.61 + 971.383i 2.87618 + 1.33066i
\(731\) −295.680 + 200.476i −0.404487 + 0.274249i
\(732\) −173.754 515.685i −0.237369 0.704487i
\(733\) 71.7447 + 437.623i 0.0978782 + 0.597030i 0.989532 + 0.144313i \(0.0460972\pi\)
−0.891654 + 0.452718i \(0.850455\pi\)
\(734\) 176.123 1074.31i 0.239950 1.46363i
\(735\) 1117.51 + 376.533i 1.52042 + 0.512290i
\(736\) 210.154 + 756.908i 0.285536 + 1.02841i
\(737\) 28.3403 + 71.1287i 0.0384535 + 0.0965111i
\(738\) 4.35158 1.73383i 0.00589644 0.00234936i
\(739\) −126.475 + 35.1157i −0.171144 + 0.0475179i −0.352043 0.935984i \(-0.614513\pi\)
0.180899 + 0.983502i \(0.442099\pi\)
\(740\) 383.514 1138.23i 0.518262 1.53815i
\(741\) −336.794 55.2146i −0.454513 0.0745136i
\(742\) 3145.87 515.739i 4.23972 0.695066i
\(743\) 223.926 75.4496i 0.301381 0.101547i −0.164548 0.986369i \(-0.552617\pi\)
0.465929 + 0.884822i \(0.345720\pi\)
\(744\) 23.7346 + 35.0059i 0.0319013 + 0.0470509i
\(745\) 263.654 569.879i 0.353898 0.764938i
\(746\) 179.812 236.538i 0.241034 0.317075i
\(747\) −5.66483 52.0872i −0.00758344 0.0697286i
\(748\) −167.433 46.4875i −0.223841 0.0621491i
\(749\) −962.787 + 1420.00i −1.28543 + 1.89587i
\(750\) 570.337 + 947.908i 0.760450 + 1.26388i
\(751\) −367.774 + 19.9401i −0.489712 + 0.0265514i −0.297342 0.954771i \(-0.596100\pi\)
−0.192370 + 0.981322i \(0.561617\pi\)
\(752\) 893.811 + 943.584i 1.18858 + 1.25477i
\(753\) −279.218 + 212.256i −0.370808 + 0.281881i
\(754\) −486.626 + 107.114i −0.645392 + 0.142062i
\(755\) −1313.09 + 1115.35i −1.73920 + 1.47729i
\(756\) −13.3511 + 246.247i −0.0176602 + 0.325723i
\(757\) −174.218 328.609i −0.230142 0.434094i 0.741366 0.671101i \(-0.234178\pi\)
−0.971508 + 0.237007i \(0.923834\pi\)
\(758\) −358.569 + 1628.99i −0.473046 + 2.14907i
\(759\) −100.369 + 46.4358i −0.132239 + 0.0611802i
\(760\) 52.5636 87.3614i 0.0691626 0.114949i
\(761\) −508.187 + 958.542i −0.667788 + 1.25958i 0.285748 + 0.958305i \(0.407758\pi\)
−0.953536 + 0.301278i \(0.902587\pi\)
\(762\) −582.065 494.410i −0.763864 0.648832i
\(763\) −613.902 + 648.089i −0.804590 + 0.849395i
\(764\) −134.750 + 1239.00i −0.176374 + 1.62173i
\(765\) 107.361 269.456i 0.140341 0.352230i
\(766\) 387.479i 0.505847i
\(767\) 457.637 + 367.784i 0.596658 + 0.479510i
\(768\) 394.100 0.513151
\(769\) −928.694 370.025i −1.20766 0.481177i −0.322551 0.946552i \(-0.604540\pi\)
−0.885114 + 0.465375i \(0.845920\pi\)
\(770\) −1038.28 112.919i −1.34841 0.146649i
\(771\) 51.2181 + 48.5164i 0.0664307 + 0.0629265i
\(772\) 457.901 539.083i 0.593136 0.698294i
\(773\) −184.822 97.9864i −0.239097 0.126761i 0.344552 0.938767i \(-0.388031\pi\)
−0.583649 + 0.812006i \(0.698376\p