Properties

Label 162.3.h.a.5.12
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.12
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 + 1.37609i) q^{2} +(-2.21854 - 2.01943i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(2.97271 - 2.21310i) q^{5} +(2.05537 - 3.71153i) q^{6} +(-8.93104 + 5.87404i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(0.843823 + 8.96036i) q^{9} +O(q^{10})\) \(q+(0.326140 + 1.37609i) q^{2} +(-2.21854 - 2.01943i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(2.97271 - 2.21310i) q^{5} +(2.05537 - 3.71153i) q^{6} +(-8.93104 + 5.87404i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(0.843823 + 8.96036i) q^{9} +(4.01495 + 3.36895i) q^{10} +(-1.77098 + 15.1517i) q^{11} +(5.77775 + 1.61790i) q^{12} +(4.78178 + 15.9723i) q^{13} +(-10.9960 - 10.3742i) q^{14} +(-11.0643 - 1.09333i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-10.6405 - 1.87621i) q^{17} +(-12.0551 + 4.08351i) q^{18} +(-5.69767 - 32.3131i) q^{19} +(-3.32655 + 6.62370i) q^{20} +(31.6761 + 5.00382i) q^{21} +(-21.4277 + 2.50454i) q^{22} +(-19.5064 + 29.6580i) q^{23} +(-0.342021 + 8.47839i) q^{24} +(-3.23089 + 10.7919i) q^{25} +(-20.4198 + 11.7894i) q^{26} +(16.2227 - 21.5829i) q^{27} +(10.6896 - 18.5150i) q^{28} +(-14.7526 + 13.9183i) q^{29} +(-2.10398 - 15.5820i) q^{30} +(1.11649 - 19.1694i) q^{31} +(5.19421 + 2.24057i) q^{32} +(34.5268 - 30.0383i) q^{33} +(-0.888457 - 15.2542i) q^{34} +(-13.5496 + 37.2271i) q^{35} +(-9.55094 - 15.2571i) q^{36} +(52.1313 - 18.9742i) q^{37} +(42.6076 - 18.3791i) q^{38} +(21.6463 - 45.0915i) q^{39} +(-10.1997 - 2.41738i) q^{40} +(6.39904 - 26.9997i) q^{41} +(3.44512 + 45.2212i) q^{42} +(16.3061 + 37.8018i) q^{43} +(-10.4349 - 28.6697i) q^{44} +(22.3386 + 24.7691i) q^{45} +(-47.1740 - 17.1699i) q^{46} +(-39.3092 + 2.28950i) q^{47} +(-11.7786 + 2.29449i) q^{48} +(25.8513 - 59.9300i) q^{49} +(-15.9044 - 0.926327i) q^{50} +(19.8175 + 25.6501i) q^{51} +(-22.8830 - 24.2546i) q^{52} +(57.3348 + 33.1023i) q^{53} +(34.9910 + 15.2849i) q^{54} +(28.2676 + 48.9610i) q^{55} +(28.9646 + 8.67144i) q^{56} +(-52.6135 + 83.1939i) q^{57} +(-23.9643 - 15.7616i) q^{58} +(-0.906847 - 7.75857i) q^{59} +(20.7561 - 7.97721i) q^{60} +(-83.4583 - 41.9143i) q^{61} +(26.7430 - 4.71551i) q^{62} +(-60.1697 - 75.0687i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(49.5631 + 36.8984i) q^{65} +(52.5960 + 37.7154i) q^{66} +(-33.4457 + 35.4503i) q^{67} +(20.7015 - 6.19761i) q^{68} +(103.168 - 26.4057i) q^{69} +(-55.6470 - 6.50421i) q^{70} +(-49.9363 + 59.5117i) q^{71} +(17.8803 - 18.1189i) q^{72} +(47.7499 - 40.0669i) q^{73} +(43.1124 + 65.5493i) q^{74} +(28.9614 - 17.4177i) q^{75} +(39.1875 + 52.6379i) q^{76} +(-73.1850 - 145.723i) q^{77} +(69.1099 + 15.0811i) q^{78} +(109.320 - 25.9093i) q^{79} -14.8242i q^{80} +(-79.5759 + 15.1219i) q^{81} +39.2410 q^{82} +(3.90805 + 16.4894i) q^{83} +(-61.1049 + 19.4892i) q^{84} +(-35.7833 + 17.9711i) q^{85} +(-46.7007 + 34.7674i) q^{86} +(60.8362 - 1.08660i) q^{87} +(36.0490 - 23.7098i) q^{88} +(-15.4330 - 18.3923i) q^{89} +(-26.7990 + 38.8182i) q^{90} +(-136.528 - 114.561i) q^{91} +(8.24210 - 70.5157i) q^{92} +(-41.1882 + 40.2734i) q^{93} +(-15.9709 - 53.3464i) q^{94} +(-88.4497 - 83.4480i) q^{95} +(-6.99890 - 15.4601i) q^{96} +(-29.3167 + 39.3791i) q^{97} +(90.9005 + 16.0282i) q^{98} +(-137.259 - 3.08326i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326140 + 1.37609i 0.163070 + 0.688047i
\(3\) −2.21854 2.01943i −0.739513 0.673143i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) 2.97271 2.21310i 0.594542 0.442620i −0.257364 0.966314i \(-0.582854\pi\)
0.851906 + 0.523694i \(0.175447\pi\)
\(6\) 2.05537 3.71153i 0.342561 0.618589i
\(7\) −8.93104 + 5.87404i −1.27586 + 0.839149i −0.992780 0.119947i \(-0.961728\pi\)
−0.283083 + 0.959095i \(0.591357\pi\)
\(8\) −1.81808 2.16670i −0.227260 0.270838i
\(9\) 0.843823 + 8.96036i 0.0937581 + 0.995595i
\(10\) 4.01495 + 3.36895i 0.401495 + 0.336895i
\(11\) −1.77098 + 15.1517i −0.160998 + 1.37743i 0.635179 + 0.772365i \(0.280926\pi\)
−0.796178 + 0.605063i \(0.793148\pi\)
\(12\) 5.77775 + 1.61790i 0.481479 + 0.134825i
\(13\) 4.78178 + 15.9723i 0.367829 + 1.22864i 0.919005 + 0.394246i \(0.128994\pi\)
−0.551175 + 0.834389i \(0.685820\pi\)
\(14\) −10.9960 10.3742i −0.785428 0.741014i
\(15\) −11.0643 1.09333i −0.737618 0.0728883i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −10.6405 1.87621i −0.625911 0.110365i −0.148309 0.988941i \(-0.547383\pi\)
−0.477603 + 0.878576i \(0.658494\pi\)
\(18\) −12.0551 + 4.08351i −0.669727 + 0.226862i
\(19\) −5.69767 32.3131i −0.299878 1.70069i −0.646688 0.762755i \(-0.723846\pi\)
0.346810 0.937935i \(-0.387265\pi\)
\(20\) −3.32655 + 6.62370i −0.166327 + 0.331185i
\(21\) 31.6761 + 5.00382i 1.50838 + 0.238277i
\(22\) −21.4277 + 2.50454i −0.973988 + 0.113843i
\(23\) −19.5064 + 29.6580i −0.848104 + 1.28948i 0.107315 + 0.994225i \(0.465775\pi\)
−0.955419 + 0.295255i \(0.904596\pi\)
\(24\) −0.342021 + 8.47839i −0.0142509 + 0.353266i
\(25\) −3.23089 + 10.7919i −0.129236 + 0.431677i
\(26\) −20.4198 + 11.7894i −0.785377 + 0.453438i
\(27\) 16.2227 21.5829i 0.600842 0.799368i
\(28\) 10.6896 18.5150i 0.381772 0.661249i
\(29\) −14.7526 + 13.9183i −0.508709 + 0.479942i −0.897271 0.441480i \(-0.854453\pi\)
0.388562 + 0.921423i \(0.372972\pi\)
\(30\) −2.10398 15.5820i −0.0701328 0.519401i
\(31\) 1.11649 19.1694i 0.0360158 0.618368i −0.931215 0.364470i \(-0.881250\pi\)
0.967231 0.253898i \(-0.0817127\pi\)
\(32\) 5.19421 + 2.24057i 0.162319 + 0.0700177i
\(33\) 34.5268 30.0383i 1.04627 0.910250i
\(34\) −0.888457 15.2542i −0.0261311 0.448653i
\(35\) −13.5496 + 37.2271i −0.387130 + 1.06363i
\(36\) −9.55094 15.2571i −0.265304 0.423809i
\(37\) 52.1313 18.9742i 1.40895 0.512817i 0.478132 0.878288i \(-0.341314\pi\)
0.930823 + 0.365471i \(0.119092\pi\)
\(38\) 42.6076 18.3791i 1.12125 0.483661i
\(39\) 21.6463 45.0915i 0.555033 1.15619i
\(40\) −10.1997 2.41738i −0.254994 0.0604346i
\(41\) 6.39904 26.9997i 0.156074 0.658528i −0.837606 0.546275i \(-0.816045\pi\)
0.993680 0.112253i \(-0.0358067\pi\)
\(42\) 3.44512 + 45.2212i 0.0820266 + 1.07669i
\(43\) 16.3061 + 37.8018i 0.379212 + 0.879112i 0.995777 + 0.0918076i \(0.0292645\pi\)
−0.616565 + 0.787304i \(0.711476\pi\)
\(44\) −10.4349 28.6697i −0.237158 0.651585i
\(45\) 22.3386 + 24.7691i 0.496414 + 0.550424i
\(46\) −47.1740 17.1699i −1.02552 0.373260i
\(47\) −39.3092 + 2.28950i −0.836366 + 0.0487128i −0.470981 0.882143i \(-0.656100\pi\)
−0.365386 + 0.930856i \(0.619063\pi\)
\(48\) −11.7786 + 2.29449i −0.245387 + 0.0478019i
\(49\) 25.8513 59.9300i 0.527577 1.22306i
\(50\) −15.9044 0.926327i −0.318088 0.0185265i
\(51\) 19.8175 + 25.6501i 0.388578 + 0.502944i
\(52\) −22.8830 24.2546i −0.440058 0.466434i
\(53\) 57.3348 + 33.1023i 1.08179 + 0.624571i 0.931378 0.364053i \(-0.118607\pi\)
0.150410 + 0.988624i \(0.451941\pi\)
\(54\) 34.9910 + 15.2849i 0.647982 + 0.283054i
\(55\) 28.2676 + 48.9610i 0.513957 + 0.890200i
\(56\) 28.9646 + 8.67144i 0.517225 + 0.154847i
\(57\) −52.6135 + 83.1939i −0.923044 + 1.45954i
\(58\) −23.9643 15.7616i −0.413178 0.271751i
\(59\) −0.906847 7.75857i −0.0153703 0.131501i 0.983375 0.181589i \(-0.0581240\pi\)
−0.998745 + 0.0500877i \(0.984050\pi\)
\(60\) 20.7561 7.97721i 0.345936 0.132953i
\(61\) −83.4583 41.9143i −1.36817 0.687120i −0.395316 0.918545i \(-0.629365\pi\)
−0.972853 + 0.231425i \(0.925661\pi\)
\(62\) 26.7430 4.71551i 0.431339 0.0760567i
\(63\) −60.1697 75.0687i −0.955075 1.19157i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) 49.5631 + 36.8984i 0.762509 + 0.567667i
\(66\) 52.5960 + 37.7154i 0.796909 + 0.571445i
\(67\) −33.4457 + 35.4503i −0.499189 + 0.529110i −0.927151 0.374687i \(-0.877750\pi\)
0.427962 + 0.903797i \(0.359232\pi\)
\(68\) 20.7015 6.19761i 0.304433 0.0911413i
\(69\) 103.168 26.4057i 1.49519 0.382692i
\(70\) −55.6470 6.50421i −0.794958 0.0929172i
\(71\) −49.9363 + 59.5117i −0.703328 + 0.838193i −0.992899 0.118963i \(-0.962043\pi\)
0.289571 + 0.957157i \(0.406487\pi\)
\(72\) 17.8803 18.1189i 0.248337 0.251652i
\(73\) 47.7499 40.0669i 0.654108 0.548862i −0.254207 0.967150i \(-0.581814\pi\)
0.908314 + 0.418288i \(0.137370\pi\)
\(74\) 43.1124 + 65.5493i 0.582601 + 0.885801i
\(75\) 28.9614 17.4177i 0.386151 0.232237i
\(76\) 39.1875 + 52.6379i 0.515624 + 0.692604i
\(77\) −73.1850 145.723i −0.950455 1.89251i
\(78\) 69.1099 + 15.0811i 0.886024 + 0.193348i
\(79\) 109.320 25.9093i 1.38379 0.327965i 0.529745 0.848157i \(-0.322288\pi\)
0.854049 + 0.520192i \(0.174140\pi\)
\(80\) 14.8242i 0.185303i
\(81\) −79.5759 + 15.1219i −0.982419 + 0.186690i
\(82\) 39.2410 0.478549
\(83\) 3.90805 + 16.4894i 0.0470849 + 0.198667i 0.991504 0.130078i \(-0.0415226\pi\)
−0.944419 + 0.328745i \(0.893374\pi\)
\(84\) −61.1049 + 19.4892i −0.727440 + 0.232015i
\(85\) −35.7833 + 17.9711i −0.420980 + 0.211424i
\(86\) −46.7007 + 34.7674i −0.543032 + 0.404272i
\(87\) 60.8362 1.08660i 0.699267 0.0124897i
\(88\) 36.0490 23.7098i 0.409648 0.269429i
\(89\) −15.4330 18.3923i −0.173404 0.206655i 0.672342 0.740241i \(-0.265289\pi\)
−0.845746 + 0.533586i \(0.820844\pi\)
\(90\) −26.7990 + 38.8182i −0.297767 + 0.431313i
\(91\) −136.528 114.561i −1.50031 1.25891i
\(92\) 8.24210 70.5157i 0.0895880 0.766475i
\(93\) −41.1882 + 40.2734i −0.442884 + 0.433047i
\(94\) −15.9709 53.3464i −0.169903 0.567515i
\(95\) −88.4497 83.4480i −0.931050 0.878400i
\(96\) −6.99890 15.4601i −0.0729052 0.161043i
\(97\) −29.3167 + 39.3791i −0.302234 + 0.405971i −0.927132 0.374736i \(-0.877733\pi\)
0.624898 + 0.780707i \(0.285141\pi\)
\(98\) 90.9005 + 16.0282i 0.927556 + 0.163553i
\(99\) −137.259 3.08326i −1.38645 0.0311440i
\(100\) −3.91236 22.1881i −0.0391236 0.221881i
\(101\) −43.4843 + 86.5845i −0.430538 + 0.857272i 0.568855 + 0.822438i \(0.307387\pi\)
−0.999393 + 0.0348340i \(0.988910\pi\)
\(102\) −28.8337 + 35.6362i −0.282683 + 0.349375i
\(103\) −64.1866 + 7.50234i −0.623171 + 0.0728383i −0.421818 0.906680i \(-0.638608\pi\)
−0.201353 + 0.979519i \(0.564534\pi\)
\(104\) 25.9135 39.3995i 0.249168 0.378842i
\(105\) 105.238 55.2274i 1.00226 0.525975i
\(106\) −26.8526 + 89.6940i −0.253327 + 0.846170i
\(107\) −36.9630 + 21.3406i −0.345449 + 0.199445i −0.662679 0.748904i \(-0.730581\pi\)
0.317230 + 0.948349i \(0.397247\pi\)
\(108\) −9.62153 + 53.1359i −0.0890883 + 0.491999i
\(109\) 39.7650 68.8750i 0.364816 0.631881i −0.623930 0.781480i \(-0.714465\pi\)
0.988747 + 0.149599i \(0.0477984\pi\)
\(110\) −58.1557 + 54.8670i −0.528688 + 0.498791i
\(111\) −153.972 63.1803i −1.38714 0.569192i
\(112\) −2.48618 + 42.6861i −0.0221981 + 0.381126i
\(113\) 149.483 + 64.4807i 1.32286 + 0.570626i 0.936158 0.351579i \(-0.114355\pi\)
0.386702 + 0.922205i \(0.373614\pi\)
\(114\) −131.642 45.2682i −1.15475 0.397090i
\(115\) 7.64936 + 131.334i 0.0665161 + 1.14204i
\(116\) 13.8737 38.1176i 0.119601 0.328600i
\(117\) −139.082 + 56.3242i −1.18874 + 0.481404i
\(118\) 10.3808 3.77829i 0.0879725 0.0320194i
\(119\) 106.052 45.7462i 0.891190 0.384422i
\(120\) 17.7468 + 25.9607i 0.147890 + 0.216339i
\(121\) −108.699 25.7622i −0.898341 0.212911i
\(122\) 30.4589 128.516i 0.249663 1.05341i
\(123\) −68.7204 + 46.9774i −0.558702 + 0.381930i
\(124\) 15.2110 + 35.2630i 0.122669 + 0.284379i
\(125\) 45.9677 + 126.295i 0.367742 + 1.01036i
\(126\) 83.6777 107.282i 0.664109 0.851445i
\(127\) 109.334 + 39.7942i 0.860894 + 0.313340i 0.734474 0.678637i \(-0.237429\pi\)
0.126420 + 0.991977i \(0.459651\pi\)
\(128\) −11.2946 + 0.657834i −0.0882388 + 0.00513933i
\(129\) 40.1623 116.794i 0.311336 0.905378i
\(130\) −34.6111 + 80.2375i −0.266239 + 0.617211i
\(131\) 176.164 + 10.2604i 1.34477 + 0.0783237i 0.715362 0.698754i \(-0.246262\pi\)
0.629404 + 0.777078i \(0.283299\pi\)
\(132\) −34.7462 + 84.6775i −0.263229 + 0.641496i
\(133\) 240.695 + 255.121i 1.80973 + 1.91821i
\(134\) −59.6910 34.4626i −0.445455 0.257184i
\(135\) 0.460300 100.062i 0.00340963 0.741203i
\(136\) 15.2801 + 26.4659i 0.112353 + 0.194602i
\(137\) −49.2855 14.7551i −0.359748 0.107702i 0.101828 0.994802i \(-0.467531\pi\)
−0.461576 + 0.887100i \(0.652716\pi\)
\(138\) 69.9839 + 133.357i 0.507130 + 0.966353i
\(139\) −18.8821 12.4190i −0.135843 0.0893451i 0.479769 0.877395i \(-0.340721\pi\)
−0.615611 + 0.788050i \(0.711091\pi\)
\(140\) −9.19834 78.6968i −0.0657024 0.562120i
\(141\) 91.8325 + 74.3028i 0.651294 + 0.526970i
\(142\) −98.1799 49.3078i −0.691408 0.347238i
\(143\) −250.475 + 44.1656i −1.75158 + 0.308850i
\(144\) 30.7648 + 18.6956i 0.213645 + 0.129831i
\(145\) −13.0524 + 74.0241i −0.0900168 + 0.510511i
\(146\) 70.7089 + 52.6408i 0.484308 + 0.360554i
\(147\) −178.376 + 80.7522i −1.21345 + 0.549335i
\(148\) −76.1412 + 80.7050i −0.514468 + 0.545304i
\(149\) −179.381 + 53.7031i −1.20390 + 0.360423i −0.825063 0.565041i \(-0.808860\pi\)
−0.378835 + 0.925464i \(0.623675\pi\)
\(150\) 33.4139 + 34.1729i 0.222759 + 0.227819i
\(151\) 232.634 + 27.1910i 1.54062 + 0.180073i 0.843598 0.536975i \(-0.180433\pi\)
0.697024 + 0.717048i \(0.254507\pi\)
\(152\) −59.6540 + 71.0929i −0.392461 + 0.467717i
\(153\) 7.83278 96.9258i 0.0511947 0.633502i
\(154\) 176.660 148.236i 1.14714 0.962569i
\(155\) −39.1048 59.4560i −0.252289 0.383587i
\(156\) 1.78647 + 100.020i 0.0114517 + 0.641155i
\(157\) 81.3685 + 109.297i 0.518271 + 0.696158i 0.981799 0.189924i \(-0.0608241\pi\)
−0.463528 + 0.886082i \(0.653417\pi\)
\(158\) 71.3071 + 141.984i 0.451311 + 0.898633i
\(159\) −60.3518 189.222i −0.379571 1.19008i
\(160\) 20.3995 4.83477i 0.127497 0.0302173i
\(161\) 379.459i 2.35689i
\(162\) −46.7621 104.572i −0.288655 0.645506i
\(163\) −57.8650 −0.355000 −0.177500 0.984121i \(-0.556801\pi\)
−0.177500 + 0.984121i \(0.556801\pi\)
\(164\) 12.7981 + 53.9993i 0.0780370 + 0.329264i
\(165\) 36.1603 165.706i 0.219154 1.00428i
\(166\) −21.4163 + 10.7557i −0.129014 + 0.0647933i
\(167\) 52.6286 39.1806i 0.315142 0.234614i −0.427952 0.903801i \(-0.640765\pi\)
0.743094 + 0.669187i \(0.233358\pi\)
\(168\) −46.7478 77.7299i −0.278261 0.462678i
\(169\) −91.0504 + 59.8848i −0.538760 + 0.354348i
\(170\) −36.4002 43.3801i −0.214119 0.255177i
\(171\) 284.729 78.3197i 1.66508 0.458010i
\(172\) −63.0742 52.9255i −0.366710 0.307706i
\(173\) 1.01246 8.66215i 0.00585237 0.0500702i −0.989997 0.141091i \(-0.954939\pi\)
0.995849 + 0.0910209i \(0.0290130\pi\)
\(174\) 21.3364 + 83.3619i 0.122623 + 0.479091i
\(175\) −34.5370 115.362i −0.197354 0.659209i
\(176\) 44.3839 + 41.8741i 0.252181 + 0.237921i
\(177\) −13.6560 + 19.0440i −0.0771525 + 0.107593i
\(178\) 20.2762 27.2357i 0.113911 0.153009i
\(179\) −55.2250 9.73766i −0.308520 0.0544004i 0.0172448 0.999851i \(-0.494511\pi\)
−0.325765 + 0.945451i \(0.605622\pi\)
\(180\) −62.1577 24.2178i −0.345321 0.134543i
\(181\) 31.5455 + 178.904i 0.174285 + 0.988417i 0.938966 + 0.344009i \(0.111785\pi\)
−0.764682 + 0.644408i \(0.777104\pi\)
\(182\) 113.119 225.238i 0.621532 1.23757i
\(183\) 100.512 + 261.527i 0.549248 + 1.42911i
\(184\) 99.7242 11.6561i 0.541979 0.0633483i
\(185\) 112.979 171.777i 0.610699 0.928523i
\(186\) −68.8530 43.5440i −0.370178 0.234108i
\(187\) 47.2718 157.899i 0.252790 0.844379i
\(188\) 68.2009 39.3758i 0.362771 0.209446i
\(189\) −18.1070 + 288.051i −0.0958042 + 1.52408i
\(190\) 85.9852 148.931i 0.452554 0.783846i
\(191\) −14.6003 + 13.7747i −0.0764416 + 0.0721189i −0.723514 0.690309i \(-0.757474\pi\)
0.647073 + 0.762428i \(0.275993\pi\)
\(192\) 18.9919 14.6733i 0.0989164 0.0764235i
\(193\) 1.61567 27.7401i 0.00837137 0.143731i −0.991532 0.129859i \(-0.958547\pi\)
0.999904 0.0138715i \(-0.00441556\pi\)
\(194\) −63.7507 27.4994i −0.328612 0.141749i
\(195\) −35.4440 181.949i −0.181764 0.933074i
\(196\) 7.58998 + 130.315i 0.0387244 + 0.664872i
\(197\) −68.2126 + 187.413i −0.346257 + 0.951333i 0.637281 + 0.770631i \(0.280059\pi\)
−0.983538 + 0.180702i \(0.942163\pi\)
\(198\) −40.5228 189.887i −0.204661 0.959024i
\(199\) −17.1938 + 6.25801i −0.0864008 + 0.0314473i −0.384859 0.922975i \(-0.625750\pi\)
0.298458 + 0.954423i \(0.403528\pi\)
\(200\) 29.2569 12.6202i 0.146284 0.0631009i
\(201\) 145.790 11.1068i 0.725323 0.0552578i
\(202\) −133.330 31.5999i −0.660051 0.156435i
\(203\) 49.9990 210.962i 0.246300 1.03922i
\(204\) −58.4426 28.0555i −0.286483 0.137527i
\(205\) −40.7305 94.4239i −0.198685 0.460604i
\(206\) −31.2578 85.8800i −0.151737 0.416893i
\(207\) −282.206 149.758i −1.36332 0.723469i
\(208\) 62.6688 + 22.8096i 0.301292 + 0.109661i
\(209\) 499.689 29.1036i 2.39086 0.139252i
\(210\) 110.320 + 126.805i 0.525335 + 0.603833i
\(211\) 28.6003 66.3028i 0.135546 0.314231i −0.836901 0.547354i \(-0.815635\pi\)
0.972447 + 0.233123i \(0.0748944\pi\)
\(212\) −132.185 7.69890i −0.623514 0.0363156i
\(213\) 230.965 31.1863i 1.08434 0.146415i
\(214\) −41.4218 43.9046i −0.193560 0.205162i
\(215\) 132.133 + 76.2867i 0.614570 + 0.354822i
\(216\) −76.2580 + 4.08963i −0.353046 + 0.0189335i
\(217\) 102.630 + 177.761i 0.472951 + 0.819175i
\(218\) 107.747 + 32.2574i 0.494254 + 0.147970i
\(219\) −186.847 7.53747i −0.853183 0.0344177i
\(220\) −94.4691 62.1333i −0.429405 0.282424i
\(221\) −20.9133 178.924i −0.0946302 0.809613i
\(222\) 36.7254 232.486i 0.165430 1.04723i
\(223\) 205.655 + 103.284i 0.922218 + 0.463155i 0.845547 0.533901i \(-0.179275\pi\)
0.0766708 + 0.997056i \(0.475571\pi\)
\(224\) −59.5509 + 10.5004i −0.265852 + 0.0468769i
\(225\) −99.4258 19.8434i −0.441892 0.0881931i
\(226\) −39.9791 + 226.733i −0.176899 + 1.00324i
\(227\) −15.2310 11.3391i −0.0670969 0.0499518i 0.563088 0.826397i \(-0.309613\pi\)
−0.630184 + 0.776445i \(0.717021\pi\)
\(228\) 19.3595 195.915i 0.0849103 0.859278i
\(229\) −84.6945 + 89.7709i −0.369845 + 0.392013i −0.885389 0.464850i \(-0.846108\pi\)
0.515544 + 0.856863i \(0.327590\pi\)
\(230\) −178.234 + 53.3596i −0.774929 + 0.231998i
\(231\) −131.914 + 471.085i −0.571056 + 2.03933i
\(232\) 56.9782 + 6.65979i 0.245596 + 0.0287060i
\(233\) −173.504 + 206.775i −0.744654 + 0.887445i −0.996775 0.0802514i \(-0.974428\pi\)
0.252120 + 0.967696i \(0.418872\pi\)
\(234\) −122.868 173.020i −0.525076 0.739404i
\(235\) −111.788 + 93.8013i −0.475694 + 0.399154i
\(236\) 8.58485 + 13.0526i 0.0363765 + 0.0553078i
\(237\) −294.852 163.283i −1.24410 0.688956i
\(238\) 97.5387 + 131.017i 0.409827 + 0.550493i
\(239\) 133.166 + 265.155i 0.557180 + 1.10944i 0.979209 + 0.202854i \(0.0650215\pi\)
−0.422030 + 0.906582i \(0.638682\pi\)
\(240\) −29.9364 + 32.8881i −0.124735 + 0.137034i
\(241\) −66.9743 + 15.8732i −0.277902 + 0.0658639i −0.367203 0.930141i \(-0.619685\pi\)
0.0893016 + 0.996005i \(0.471537\pi\)
\(242\) 157.982i 0.652820i
\(243\) 207.080 + 127.149i 0.852180 + 0.523248i
\(244\) 186.784 0.765510
\(245\) −55.7828 235.366i −0.227685 0.960678i
\(246\) −87.0577 79.2444i −0.353893 0.322132i
\(247\) 488.869 245.519i 1.97923 0.994004i
\(248\) −43.5642 + 32.4324i −0.175662 + 0.130776i
\(249\) 24.6289 44.4743i 0.0989113 0.178612i
\(250\) −158.802 + 104.446i −0.635209 + 0.417783i
\(251\) 220.645 + 262.954i 0.879063 + 1.04763i 0.998498 + 0.0547846i \(0.0174472\pi\)
−0.119435 + 0.992842i \(0.538108\pi\)
\(252\) 174.921 + 80.1594i 0.694130 + 0.318093i
\(253\) −414.824 348.079i −1.63962 1.37581i
\(254\) −19.1024 + 163.432i −0.0752064 + 0.643432i
\(255\) 115.678 + 32.3924i 0.453639 + 0.127029i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 51.4167 + 48.5091i 0.200065 + 0.188751i 0.779754 0.626087i \(-0.215344\pi\)
−0.579689 + 0.814838i \(0.696826\pi\)
\(258\) 173.818 + 17.1759i 0.673712 + 0.0665734i
\(259\) −354.132 + 475.681i −1.36730 + 1.83661i
\(260\) −121.702 21.4594i −0.468086 0.0825361i
\(261\) −137.162 120.444i −0.525524 0.461470i
\(262\) 43.3350 + 245.765i 0.165401 + 0.938034i
\(263\) −33.6112 + 66.9253i −0.127799 + 0.254469i −0.948428 0.316992i \(-0.897327\pi\)
0.820629 + 0.571461i \(0.193623\pi\)
\(264\) −127.856 20.1972i −0.484304 0.0765047i
\(265\) 243.698 28.4843i 0.919617 0.107488i
\(266\) −272.571 + 414.424i −1.02470 + 1.55798i
\(267\) −2.90328 + 71.9698i −0.0108737 + 0.269550i
\(268\) 27.9561 93.3800i 0.104314 0.348433i
\(269\) 90.1721 52.0609i 0.335212 0.193535i −0.322941 0.946419i \(-0.604671\pi\)
0.658153 + 0.752884i \(0.271338\pi\)
\(270\) 137.845 32.0009i 0.510538 0.118522i
\(271\) 114.592 198.479i 0.422848 0.732394i −0.573369 0.819297i \(-0.694364\pi\)
0.996217 + 0.0869036i \(0.0276972\pi\)
\(272\) −31.4360 + 29.6584i −0.115574 + 0.109038i
\(273\) 71.5458 + 529.866i 0.262072 + 1.94090i
\(274\) 4.23043 72.6337i 0.0154395 0.265087i
\(275\) −157.794 68.0658i −0.573797 0.247512i
\(276\) −160.687 + 139.797i −0.582198 + 0.506512i
\(277\) −16.9164 290.443i −0.0610700 1.04853i −0.880103 0.474784i \(-0.842526\pi\)
0.819033 0.573747i \(-0.194511\pi\)
\(278\) 10.9314 30.0339i 0.0393217 0.108036i
\(279\) 172.707 6.17143i 0.619021 0.0221198i
\(280\) 105.294 38.3240i 0.376051 0.136871i
\(281\) 219.466 94.6685i 0.781018 0.336898i 0.0320346 0.999487i \(-0.489801\pi\)
0.748984 + 0.662588i \(0.230542\pi\)
\(282\) −72.2973 + 150.603i −0.256373 + 0.534054i
\(283\) −544.234 128.986i −1.92309 0.455781i −0.996896 0.0787316i \(-0.974913\pi\)
−0.926193 0.377049i \(-0.876939\pi\)
\(284\) 35.8317 151.186i 0.126168 0.532345i
\(285\) 27.7119 + 363.750i 0.0972346 + 1.27632i
\(286\) −142.466 330.273i −0.498133 1.15480i
\(287\) 101.447 + 278.723i 0.353474 + 0.971161i
\(288\) −15.6933 + 48.4326i −0.0544905 + 0.168169i
\(289\) −161.871 58.9163i −0.560108 0.203863i
\(290\) −106.121 + 6.18084i −0.365934 + 0.0213132i
\(291\) 144.564 28.1612i 0.496782 0.0967739i
\(292\) −49.3777 + 114.470i −0.169102 + 0.392022i
\(293\) 243.559 + 14.1857i 0.831259 + 0.0484153i 0.468496 0.883466i \(-0.344796\pi\)
0.362764 + 0.931881i \(0.381833\pi\)
\(294\) −169.298 219.126i −0.575845 0.745327i
\(295\) −19.8663 21.0570i −0.0673433 0.0713798i
\(296\) −135.890 78.4563i −0.459089 0.265055i
\(297\) 298.288 + 284.025i 1.00434 + 0.956313i
\(298\) −132.404 229.330i −0.444308 0.769564i
\(299\) −566.981 169.743i −1.89626 0.567703i
\(300\) −36.1275 + 57.1258i −0.120425 + 0.190419i
\(301\) −367.680 241.827i −1.22153 0.803411i
\(302\) 38.4539 + 328.994i 0.127331 + 1.08938i
\(303\) 271.323 104.277i 0.895455 0.344150i
\(304\) −117.286 58.9033i −0.385809 0.193761i
\(305\) −340.858 + 60.1025i −1.11757 + 0.197057i
\(306\) 135.934 20.8327i 0.444227 0.0680809i
\(307\) 2.50027 14.1797i 0.00814419 0.0461880i −0.980465 0.196694i \(-0.936979\pi\)
0.988609 + 0.150506i \(0.0480904\pi\)
\(308\) 261.602 + 194.755i 0.849357 + 0.632323i
\(309\) 157.551 + 112.976i 0.509874 + 0.365618i
\(310\) 69.0633 73.2028i 0.222785 0.236138i
\(311\) 27.8452 8.33632i 0.0895345 0.0268049i −0.241723 0.970345i \(-0.577712\pi\)
0.331257 + 0.943541i \(0.392527\pi\)
\(312\) −137.055 + 35.0790i −0.439277 + 0.112433i
\(313\) −126.217 14.7526i −0.403248 0.0471329i −0.0879481 0.996125i \(-0.528031\pi\)
−0.315300 + 0.948992i \(0.602105\pi\)
\(314\) −123.865 + 147.617i −0.394475 + 0.470117i
\(315\) −345.002 89.9958i −1.09524 0.285701i
\(316\) −172.127 + 144.432i −0.544706 + 0.457063i
\(317\) −206.789 314.408i −0.652332 0.991823i −0.998559 0.0536717i \(-0.982908\pi\)
0.346227 0.938151i \(-0.387463\pi\)
\(318\) 240.704 144.763i 0.756931 0.455228i
\(319\) −184.760 248.176i −0.579185 0.777980i
\(320\) 13.3062 + 26.4948i 0.0415818 + 0.0827962i
\(321\) 125.100 + 27.2992i 0.389719 + 0.0850443i
\(322\) 522.170 123.757i 1.62165 0.384337i
\(323\) 354.518i 1.09758i
\(324\) 128.650 98.4541i 0.397068 0.303871i
\(325\) −187.821 −0.577910
\(326\) −18.8721 79.6276i −0.0578898 0.244256i
\(327\) −227.308 + 72.4992i −0.695132 + 0.221710i
\(328\) −70.1341 + 35.2227i −0.213824 + 0.107386i
\(329\) 337.624 251.352i 1.02621 0.763986i
\(330\) 239.821 4.28345i 0.726729 0.0129802i
\(331\) 406.918 267.634i 1.22936 0.808562i 0.242501 0.970151i \(-0.422032\pi\)
0.986858 + 0.161589i \(0.0516618\pi\)
\(332\) −21.7855 25.9630i −0.0656191 0.0782018i
\(333\) 214.006 + 451.104i 0.642659 + 1.35467i
\(334\) 71.0804 + 59.6436i 0.212816 + 0.178574i
\(335\) −20.9691 + 179.402i −0.0625944 + 0.535529i
\(336\) 91.7172 89.6801i 0.272968 0.266905i
\(337\) −16.5763 55.3686i −0.0491878 0.164299i 0.929867 0.367896i \(-0.119922\pi\)
−0.979055 + 0.203598i \(0.934737\pi\)
\(338\) −112.102 105.763i −0.331664 0.312908i
\(339\) −201.420 444.923i −0.594159 1.31246i
\(340\) 47.8235 64.2381i 0.140657 0.188936i
\(341\) 288.472 + 50.8654i 0.845958 + 0.149165i
\(342\) 200.637 + 366.271i 0.586657 + 1.07097i
\(343\) 30.1970 + 171.256i 0.0880379 + 0.499288i
\(344\) 52.2594 104.057i 0.151917 0.302491i
\(345\) 248.250 306.818i 0.719565 0.889326i
\(346\) 12.2501 1.43183i 0.0354050 0.00413825i
\(347\) −279.358 + 424.744i −0.805067 + 1.22404i 0.166210 + 0.986090i \(0.446847\pi\)
−0.971276 + 0.237954i \(0.923523\pi\)
\(348\) −107.755 + 56.5485i −0.309641 + 0.162496i
\(349\) 16.9262 56.5374i 0.0484991 0.161998i −0.930310 0.366775i \(-0.880462\pi\)
0.978809 + 0.204777i \(0.0656470\pi\)
\(350\) 147.484 85.1501i 0.421384 0.243286i
\(351\) 422.302 + 155.909i 1.20314 + 0.444185i
\(352\) −43.1472 + 74.7332i −0.122577 + 0.212310i
\(353\) −283.086 + 267.078i −0.801944 + 0.756595i −0.973526 0.228574i \(-0.926594\pi\)
0.171582 + 0.985170i \(0.445112\pi\)
\(354\) −30.6601 12.5809i −0.0866104 0.0355393i
\(355\) −16.7406 + 287.425i −0.0471566 + 0.809648i
\(356\) 44.0917 + 19.0193i 0.123853 + 0.0534250i
\(357\) −327.661 112.674i −0.917817 0.315613i
\(358\) −4.61116 79.1706i −0.0128803 0.221147i
\(359\) 216.969 596.117i 0.604370 1.66049i −0.137944 0.990440i \(-0.544049\pi\)
0.742314 0.670052i \(-0.233728\pi\)
\(360\) 13.0538 93.4332i 0.0362607 0.259537i
\(361\) −672.445 + 244.750i −1.86273 + 0.677978i
\(362\) −235.900 + 101.757i −0.651657 + 0.281097i
\(363\) 189.129 + 276.665i 0.521015 + 0.762162i
\(364\) 346.841 + 82.2029i 0.952861 + 0.225832i
\(365\) 53.2744 224.783i 0.145957 0.615843i
\(366\) −327.104 + 223.609i −0.893726 + 0.610953i
\(367\) 102.455 + 237.518i 0.279169 + 0.647187i 0.998891 0.0470753i \(-0.0149901\pi\)
−0.719722 + 0.694262i \(0.755731\pi\)
\(368\) 48.5639 + 133.428i 0.131967 + 0.362577i
\(369\) 247.326 + 34.5547i 0.670261 + 0.0936442i
\(370\) 273.228 + 99.4469i 0.738454 + 0.268775i
\(371\) −706.504 + 41.1492i −1.90432 + 0.110914i
\(372\) 37.4649 108.950i 0.100712 0.292875i
\(373\) 134.381 311.531i 0.360272 0.835204i −0.637623 0.770349i \(-0.720082\pi\)
0.997895 0.0648554i \(-0.0206586\pi\)
\(374\) 232.701 + 13.5533i 0.622195 + 0.0362387i
\(375\) 153.063 373.019i 0.408168 0.994718i
\(376\) 76.4279 + 81.0088i 0.203266 + 0.215449i
\(377\) −292.851 169.077i −0.776793 0.448481i
\(378\) −402.291 + 69.0281i −1.06426 + 0.182614i
\(379\) −94.7484 164.109i −0.249996 0.433005i 0.713529 0.700626i \(-0.247096\pi\)
−0.963524 + 0.267621i \(0.913763\pi\)
\(380\) 232.986 + 69.7514i 0.613121 + 0.183556i
\(381\) −162.199 309.076i −0.425720 0.811223i
\(382\) −23.7170 15.5989i −0.0620865 0.0408349i
\(383\) 22.8165 + 195.208i 0.0595731 + 0.509681i 0.989776 + 0.142634i \(0.0455571\pi\)
−0.930202 + 0.367047i \(0.880369\pi\)
\(384\) 26.3859 + 21.3491i 0.0687132 + 0.0555967i
\(385\) −540.058 271.227i −1.40275 0.704487i
\(386\) 38.6998 6.82383i 0.100259 0.0176783i
\(387\) −324.958 + 178.007i −0.839685 + 0.459965i
\(388\) 17.0500 96.6956i 0.0439434 0.249215i
\(389\) −40.6918 30.2940i −0.104606 0.0778765i 0.543585 0.839354i \(-0.317067\pi\)
−0.648191 + 0.761478i \(0.724474\pi\)
\(390\) 238.820 108.115i 0.612358 0.277219i
\(391\) 263.202 278.978i 0.673152 0.713499i
\(392\) −176.850 + 52.9454i −0.451148 + 0.135065i
\(393\) −370.107 378.514i −0.941749 0.963141i
\(394\) −280.144 32.7442i −0.711026 0.0831070i
\(395\) 267.636 318.956i 0.677560 0.807484i
\(396\) 248.086 117.693i 0.626479 0.297204i
\(397\) 50.3139 42.2184i 0.126735 0.106344i −0.577217 0.816591i \(-0.695861\pi\)
0.703952 + 0.710247i \(0.251417\pi\)
\(398\) −14.2192 21.6192i −0.0357266 0.0543196i
\(399\) −18.7910 1052.06i −0.0470952 2.63675i
\(400\) 26.9084 + 36.1442i 0.0672710 + 0.0903606i
\(401\) 69.4536 + 138.293i 0.173201 + 0.344871i 0.963439 0.267929i \(-0.0863392\pi\)
−0.790238 + 0.612800i \(0.790043\pi\)
\(402\) 62.8320 + 196.998i 0.156298 + 0.490045i
\(403\) 311.518 73.8310i 0.772996 0.183204i
\(404\) 193.781i 0.479656i
\(405\) −203.090 + 221.063i −0.501456 + 0.545834i
\(406\) 306.611 0.755198
\(407\) 195.169 + 823.481i 0.479530 + 2.02330i
\(408\) 19.5465 89.5725i 0.0479080 0.219540i
\(409\) −478.284 + 240.203i −1.16940 + 0.587294i −0.924099 0.382153i \(-0.875183\pi\)
−0.245300 + 0.969447i \(0.578886\pi\)
\(410\) 116.652 86.8444i 0.284518 0.211816i
\(411\) 79.5449 + 132.263i 0.193540 + 0.321809i
\(412\) 107.984 71.0225i 0.262098 0.172385i
\(413\) 53.6732 + 63.9653i 0.129959 + 0.154880i
\(414\) 114.042 437.184i 0.275464 1.05600i
\(415\) 48.1101 + 40.3692i 0.115928 + 0.0972751i
\(416\) −10.9493 + 93.6773i −0.0263204 + 0.225186i
\(417\) 16.8115 + 65.6830i 0.0403153 + 0.157513i
\(418\) 203.018 + 678.127i 0.485689 + 1.62231i
\(419\) −137.769 129.978i −0.328803 0.310210i 0.504082 0.863656i \(-0.331831\pi\)
−0.832885 + 0.553446i \(0.813312\pi\)
\(420\) −138.516 + 193.167i −0.329799 + 0.459922i
\(421\) −182.396 + 245.000i −0.433244 + 0.581947i −0.964108 0.265510i \(-0.914460\pi\)
0.530865 + 0.847457i \(0.321867\pi\)
\(422\) 100.567 + 17.7326i 0.238309 + 0.0420204i
\(423\) −53.6848 350.293i −0.126914 0.828115i
\(424\) −32.5164 184.410i −0.0766897 0.434929i
\(425\) 54.6261 108.770i 0.128532 0.255928i
\(426\) 118.242 + 307.658i 0.277564 + 0.722203i
\(427\) 991.576 115.899i 2.32219 0.271425i
\(428\) 46.9075 71.3193i 0.109597 0.166634i
\(429\) 644.879 + 407.834i 1.50321 + 0.950662i
\(430\) −61.8840 + 206.707i −0.143916 + 0.480714i
\(431\) 697.533 402.721i 1.61841 0.934388i 0.631074 0.775722i \(-0.282614\pi\)
0.987332 0.158665i \(-0.0507191\pi\)
\(432\) −30.4985 103.604i −0.0705983 0.239825i
\(433\) −102.056 + 176.766i −0.235696 + 0.408237i −0.959475 0.281795i \(-0.909070\pi\)
0.723779 + 0.690032i \(0.242403\pi\)
\(434\) −211.144 + 199.204i −0.486507 + 0.458995i
\(435\) 178.444 137.867i 0.410215 0.316935i
\(436\) −9.24851 + 158.791i −0.0212122 + 0.364199i
\(437\) 1069.48 + 461.331i 2.44733 + 1.05568i
\(438\) −50.5661 259.577i −0.115448 0.592642i
\(439\) −26.9241 462.269i −0.0613305 1.05300i −0.878848 0.477101i \(-0.841687\pi\)
0.817518 0.575903i \(-0.195350\pi\)
\(440\) 54.6910 150.262i 0.124298 0.341505i
\(441\) 558.808 + 181.066i 1.26714 + 0.410581i
\(442\) 239.396 87.1330i 0.541620 0.197134i
\(443\) 528.841 228.120i 1.19377 0.514943i 0.295908 0.955217i \(-0.404378\pi\)
0.897863 + 0.440274i \(0.145119\pi\)
\(444\) 331.900 25.2854i 0.747523 0.0569491i
\(445\) −86.5818 20.5203i −0.194566 0.0461129i
\(446\) −75.0557 + 316.685i −0.168286 + 0.710055i
\(447\) 506.413 + 243.104i 1.13291 + 0.543857i
\(448\) −33.8715 78.5230i −0.0756061 0.175275i
\(449\) −141.233 388.035i −0.314550 0.864219i −0.991723 0.128395i \(-0.959017\pi\)
0.677173 0.735824i \(-0.263205\pi\)
\(450\) −5.12029 143.291i −0.0113784 0.318424i
\(451\) 397.758 + 144.772i 0.881947 + 0.321003i
\(452\) −325.044 + 18.9317i −0.719124 + 0.0418842i
\(453\) −461.197 530.112i −1.01810 1.17022i
\(454\) 10.6362 24.6574i 0.0234277 0.0543114i
\(455\) −659.393 38.4052i −1.44921 0.0844071i
\(456\) 275.912 37.2553i 0.605070 0.0817003i
\(457\) −323.168 342.538i −0.707151 0.749536i 0.269819 0.962911i \(-0.413036\pi\)
−0.976970 + 0.213375i \(0.931555\pi\)
\(458\) −151.155 87.2696i −0.330034 0.190545i
\(459\) −213.112 + 199.216i −0.464296 + 0.434021i
\(460\) −131.557 227.863i −0.285993 0.495355i
\(461\) −790.287 236.596i −1.71429 0.513224i −0.729057 0.684453i \(-0.760041\pi\)
−0.985231 + 0.171229i \(0.945226\pi\)
\(462\) −691.279 27.8864i −1.49627 0.0603602i
\(463\) 317.321 + 208.706i 0.685360 + 0.450768i 0.843841 0.536594i \(-0.180289\pi\)
−0.158481 + 0.987362i \(0.550660\pi\)
\(464\) 9.41837 + 80.5793i 0.0202982 + 0.173662i
\(465\) −33.3115 + 210.875i −0.0716377 + 0.453494i
\(466\) −341.128 171.321i −0.732034 0.367641i
\(467\) −475.788 + 83.8942i −1.01882 + 0.179645i −0.658021 0.753000i \(-0.728606\pi\)
−0.360797 + 0.932645i \(0.617495\pi\)
\(468\) 198.020 225.506i 0.423120 0.481851i
\(469\) 90.4681 513.070i 0.192896 1.09397i
\(470\) −165.538 123.238i −0.352208 0.262209i
\(471\) 40.1980 406.797i 0.0853461 0.863688i
\(472\) −15.1618 + 16.0705i −0.0321224 + 0.0340478i
\(473\) −601.639 + 180.119i −1.27196 + 0.380801i
\(474\) 128.529 458.997i 0.271158 0.968347i
\(475\) 367.129 + 42.9112i 0.772904 + 0.0903395i
\(476\) −148.481 + 176.952i −0.311934 + 0.371749i
\(477\) −248.228 + 541.673i −0.520393 + 1.13558i
\(478\) −321.447 + 269.726i −0.672484 + 0.564281i
\(479\) −263.388 400.461i −0.549870 0.836036i 0.448461 0.893803i \(-0.351972\pi\)
−0.998330 + 0.0577666i \(0.981602\pi\)
\(480\) −55.0205 30.4692i −0.114626 0.0634775i
\(481\) 552.342 + 741.924i 1.14832 + 1.54246i
\(482\) −43.6860 86.9860i −0.0906349 0.180469i
\(483\) −766.289 + 841.843i −1.58652 + 1.74295i
\(484\) 217.399 51.5244i 0.449171 0.106455i
\(485\) 181.944i 0.375141i
\(486\) −107.432 + 326.430i −0.221054 + 0.671666i
\(487\) 297.111 0.610084 0.305042 0.952339i \(-0.401329\pi\)
0.305042 + 0.952339i \(0.401329\pi\)
\(488\) 60.9179 + 257.033i 0.124832 + 0.526706i
\(489\) 128.376 + 116.854i 0.262527 + 0.238965i
\(490\) 305.693 153.525i 0.623863 0.313316i
\(491\) −72.1941 + 53.7465i −0.147035 + 0.109463i −0.668163 0.744015i \(-0.732919\pi\)
0.521128 + 0.853479i \(0.325512\pi\)
\(492\) 80.6547 145.644i 0.163932 0.296025i
\(493\) 183.088 120.419i 0.371376 0.244258i
\(494\) 497.297 + 592.655i 1.00667 + 1.19971i
\(495\) −414.855 + 294.602i −0.838091 + 0.595156i
\(496\) −58.8380 49.3709i −0.118625 0.0995382i
\(497\) 96.4087 824.829i 0.193981 1.65962i
\(498\) 69.2332 + 19.3868i 0.139023 + 0.0389294i
\(499\) 149.036 + 497.813i 0.298668 + 0.997622i 0.967217 + 0.253953i \(0.0817309\pi\)
−0.668548 + 0.743669i \(0.733084\pi\)
\(500\) −195.519 184.463i −0.391038 0.368925i
\(501\) −195.881 19.3561i −0.390980 0.0386350i
\(502\) −289.888 + 389.388i −0.577467 + 0.775673i
\(503\) 735.545 + 129.696i 1.46232 + 0.257846i 0.847488 0.530815i \(-0.178114\pi\)
0.614829 + 0.788661i \(0.289225\pi\)
\(504\) −53.2582 + 266.850i −0.105671 + 0.529465i
\(505\) 62.3538 + 353.626i 0.123473 + 0.700249i
\(506\) 343.698 684.359i 0.679245 1.35249i
\(507\) 322.932 + 51.0130i 0.636946 + 0.100617i
\(508\) −231.127 + 27.0149i −0.454975 + 0.0531789i
\(509\) −406.118 + 617.473i −0.797875 + 1.21311i 0.175633 + 0.984456i \(0.443803\pi\)
−0.973508 + 0.228654i \(0.926568\pi\)
\(510\) −6.84769 + 169.748i −0.0134269 + 0.332839i
\(511\) −191.102 + 638.324i −0.373976 + 1.24917i
\(512\) 19.5959 11.3137i 0.0382733 0.0220971i
\(513\) −789.844 401.235i −1.53966 0.782134i
\(514\) −49.9840 + 86.5749i −0.0972452 + 0.168434i
\(515\) −174.205 + 164.354i −0.338262 + 0.319134i
\(516\) 33.0532 + 244.791i 0.0640566 + 0.474401i
\(517\) 34.9260 599.656i 0.0675551 1.15988i
\(518\) −770.078 332.179i −1.48664 0.641273i
\(519\) −19.7388 + 17.1727i −0.0380323 + 0.0330881i
\(520\) −10.1619 174.472i −0.0195420 0.335524i
\(521\) 213.622 586.922i 0.410024 1.12653i −0.547155 0.837032i \(-0.684289\pi\)
0.957178 0.289499i \(-0.0934887\pi\)
\(522\) 121.008 228.029i 0.231816 0.436837i
\(523\) −763.802 + 278.001i −1.46042 + 0.531551i −0.945482 0.325674i \(-0.894409\pi\)
−0.514942 + 0.857225i \(0.672186\pi\)
\(524\) −324.062 + 139.787i −0.618439 + 0.266769i
\(525\) −156.343 + 325.679i −0.297796 + 0.620341i
\(526\) −103.057 24.4251i −0.195927 0.0464355i
\(527\) −47.8458 + 201.877i −0.0907889 + 0.383069i
\(528\) −13.9058 182.529i −0.0263367 0.345699i
\(529\) −289.573 671.306i −0.547397 1.26901i
\(530\) 118.677 + 326.062i 0.223919 + 0.615211i
\(531\) 68.7543 14.6725i 0.129481 0.0276319i
\(532\) −659.182 239.923i −1.23906 0.450982i
\(533\) 461.845 26.8994i 0.866500 0.0504679i
\(534\) −99.9840 + 19.4770i −0.187236 + 0.0364739i
\(535\) −62.6515 + 145.242i −0.117106 + 0.271481i
\(536\) 137.617 + 8.01529i 0.256748 + 0.0149539i
\(537\) 102.854 + 133.126i 0.191535 + 0.247908i
\(538\) 101.049 + 107.106i 0.187824 + 0.199082i
\(539\) 862.260 + 497.826i 1.59974 + 0.923610i
\(540\) 88.9931 + 179.251i 0.164802 + 0.331947i
\(541\) 454.022 + 786.389i 0.839227 + 1.45358i 0.890542 + 0.454901i \(0.150325\pi\)
−0.0513149 + 0.998683i \(0.516341\pi\)
\(542\) 310.498 + 92.9570i 0.572875 + 0.171507i
\(543\) 291.298 460.608i 0.536460 0.848266i
\(544\) −51.0652 33.5861i −0.0938699 0.0617392i
\(545\) −34.2175 292.749i −0.0627844 0.537155i
\(546\) −705.811 + 271.264i −1.29269 + 0.496821i
\(547\) −829.937 416.810i −1.51725 0.761993i −0.521429 0.853295i \(-0.674601\pi\)
−0.995823 + 0.0913018i \(0.970897\pi\)
\(548\) 101.330 17.8673i 0.184910 0.0326046i
\(549\) 305.143 783.184i 0.555817 1.42657i
\(550\) 42.2018 239.338i 0.0767306 0.435161i
\(551\) 533.800 + 397.399i 0.968784 + 0.721233i
\(552\) −244.781 175.526i −0.443443 0.317983i
\(553\) −824.147 + 873.545i −1.49032 + 1.57965i
\(554\) 394.160 118.004i 0.711479 0.213003i
\(555\) −597.540 + 152.940i −1.07665 + 0.275567i
\(556\) 44.8946 + 5.24743i 0.0807457 + 0.00943782i
\(557\) 169.650 202.181i 0.304577 0.362981i −0.591946 0.805978i \(-0.701640\pi\)
0.896523 + 0.442996i \(0.146085\pi\)
\(558\) 64.8191 + 235.648i 0.116163 + 0.422308i
\(559\) −525.808 + 441.205i −0.940623 + 0.789276i
\(560\) 87.0780 + 132.396i 0.155496 + 0.236421i
\(561\) −423.740 + 254.843i −0.755329 + 0.454265i
\(562\) 201.849 + 271.131i 0.359163 + 0.482439i
\(563\) −39.3784 78.4087i −0.0699438 0.139270i 0.855944 0.517069i \(-0.172977\pi\)
−0.925887 + 0.377800i \(0.876681\pi\)
\(564\) −230.823 50.3701i −0.409261 0.0893087i
\(565\) 587.073 139.139i 1.03907 0.246263i
\(566\) 790.985i 1.39750i
\(567\) 621.869 602.487i 1.09677 1.06259i
\(568\) 219.732 0.386852
\(569\) −155.916 657.861i −0.274017 1.15617i −0.919718 0.392580i \(-0.871583\pi\)
0.645701 0.763591i \(-0.276565\pi\)
\(570\) −491.517 + 156.768i −0.862310 + 0.275031i
\(571\) 987.657 496.020i 1.72970 0.868687i 0.751860 0.659323i \(-0.229157\pi\)
0.977838 0.209364i \(-0.0671394\pi\)
\(572\) 408.023 303.762i 0.713327 0.531052i
\(573\) 60.2084 1.07539i 0.105076 0.00187677i
\(574\) −350.463 + 230.503i −0.610563 + 0.401574i
\(575\) −257.044 306.333i −0.447033 0.532754i
\(576\) −71.7660 5.79957i −0.124594 0.0100687i
\(577\) 425.695 + 357.200i 0.737773 + 0.619065i 0.932238 0.361844i \(-0.117853\pi\)
−0.194466 + 0.980909i \(0.562297\pi\)
\(578\) 28.2816 241.965i 0.0489302 0.418624i
\(579\) −59.6035 + 58.2796i −0.102942 + 0.100656i
\(580\) −43.1157 144.017i −0.0743374 0.248304i
\(581\) −131.762 124.311i −0.226785 0.213961i
\(582\) 85.9004 + 189.748i 0.147595 + 0.326028i
\(583\) −603.094 + 810.096i −1.03447 + 1.38953i
\(584\) −173.626 30.6149i −0.297305 0.0524228i
\(585\) −288.800 + 475.239i −0.493675 + 0.812374i
\(586\) 59.9135 + 339.786i 0.102241 + 0.579840i
\(587\) −184.928 + 368.223i −0.315040 + 0.627296i −0.994302 0.106600i \(-0.966004\pi\)
0.679262 + 0.733896i \(0.262300\pi\)
\(588\) 246.323 304.436i 0.418917 0.517748i
\(589\) −625.784 + 73.1437i −1.06245 + 0.124183i
\(590\) 22.4973 34.2054i 0.0381309 0.0579753i
\(591\) 529.799 278.032i 0.896444 0.470443i
\(592\) 63.6439 212.585i 0.107507 0.359097i
\(593\) −763.305 + 440.694i −1.28719 + 0.743161i −0.978153 0.207889i \(-0.933341\pi\)
−0.309040 + 0.951049i \(0.600008\pi\)
\(594\) −293.561 + 503.104i −0.494211 + 0.846976i
\(595\) 214.020 370.693i 0.359697 0.623014i
\(596\) 272.397 256.994i 0.457042 0.431197i
\(597\) 50.7826 + 20.8379i 0.0850630 + 0.0349044i
\(598\) 48.6669 835.579i 0.0813829 1.39729i
\(599\) 671.237 + 289.543i 1.12060 + 0.483378i 0.874090 0.485763i \(-0.161458\pi\)
0.246506 + 0.969141i \(0.420718\pi\)
\(600\) −90.3930 31.0838i −0.150655 0.0518063i
\(601\) 4.78617 + 82.1753i 0.00796367 + 0.136731i 0.999946 + 0.0103572i \(0.00329685\pi\)
−0.991983 + 0.126374i \(0.959666\pi\)
\(602\) 212.861 584.831i 0.353590 0.971480i
\(603\) −345.870 269.771i −0.573582 0.447382i
\(604\) −440.185 + 160.214i −0.728783 + 0.265255i
\(605\) −380.146 + 163.979i −0.628340 + 0.271039i
\(606\) 231.985 + 339.356i 0.382813 + 0.559994i
\(607\) 876.024 + 207.622i 1.44320 + 0.342045i 0.876311 0.481747i \(-0.159997\pi\)
0.566892 + 0.823792i \(0.308146\pi\)
\(608\) 42.8047 180.607i 0.0704025 0.297051i
\(609\) −536.948 + 367.059i −0.881688 + 0.602724i
\(610\) −193.874 449.451i −0.317826 0.736804i
\(611\) −224.537 616.909i −0.367490 1.00967i
\(612\) 73.0012 + 180.263i 0.119283 + 0.294547i
\(613\) 962.901 + 350.467i 1.57080 + 0.571725i 0.973178 0.230053i \(-0.0738900\pi\)
0.597622 + 0.801778i \(0.296112\pi\)
\(614\) 20.3281 1.18397i 0.0331076 0.00192830i
\(615\) −100.320 + 291.735i −0.163122 + 0.474366i
\(616\) −182.683 + 423.506i −0.296563 + 0.687510i
\(617\) −180.822 10.5317i −0.293067 0.0170692i −0.0890183 0.996030i \(-0.528373\pi\)
−0.204048 + 0.978961i \(0.565410\pi\)
\(618\) −104.082 + 253.651i −0.168417 + 0.410438i
\(619\) −604.609 640.848i −0.976751 1.03530i −0.999368 0.0355513i \(-0.988681\pi\)
0.0226169 0.999744i \(-0.492800\pi\)
\(620\) 123.258 + 71.1632i 0.198804 + 0.114779i
\(621\) 323.660 + 902.140i 0.521192 + 1.45272i
\(622\) 20.5530 + 35.5988i 0.0330434 + 0.0572328i
\(623\) 245.870 + 73.6085i 0.394654 + 0.118152i
\(624\) −92.9709 177.159i −0.148992 0.283909i
\(625\) 180.855 + 118.950i 0.289368 + 0.190320i
\(626\) −20.8633 178.497i −0.0333280 0.285139i
\(627\) −1167.35 944.519i −1.86181 1.50641i
\(628\) −243.532 122.306i −0.387789 0.194755i
\(629\) −590.302 + 104.086i −0.938478 + 0.165479i
\(630\) 11.3238 504.106i 0.0179742 0.800168i
\(631\) −49.6456 + 281.554i −0.0786776 + 0.446203i 0.919865 + 0.392235i \(0.128298\pi\)
−0.998543 + 0.0539680i \(0.982813\pi\)
\(632\) −254.889 189.758i −0.403306 0.300250i
\(633\) −197.345 + 89.3392i −0.311761 + 0.141136i
\(634\) 365.212 387.102i 0.576044 0.610571i
\(635\) 413.086 123.670i 0.650528 0.194755i
\(636\) 277.710 + 284.018i 0.436651 + 0.446570i
\(637\) 1080.83 + 126.331i 1.69676 + 0.198322i
\(638\) 281.255 335.187i 0.440839 0.525371i
\(639\) −575.384 397.229i −0.900444 0.621642i
\(640\) −32.1196 + 26.9516i −0.0501869 + 0.0421118i
\(641\) −4.54653 6.91267i −0.00709287 0.0107842i 0.831924 0.554890i \(-0.187240\pi\)
−0.839017 + 0.544105i \(0.816869\pi\)
\(642\) 3.23379 + 181.052i 0.00503706 + 0.282013i
\(643\) 229.167 + 307.825i 0.356403 + 0.478732i 0.943777 0.330583i \(-0.107246\pi\)
−0.587374 + 0.809316i \(0.699838\pi\)
\(644\) 340.601 + 678.193i 0.528884 + 1.05309i
\(645\) −139.085 436.077i −0.215636 0.676089i
\(646\) −487.849 + 115.622i −0.755184 + 0.178982i
\(647\) 138.910i 0.214699i −0.994221 0.107349i \(-0.965764\pi\)
0.994221 0.107349i \(-0.0342363\pi\)
\(648\) 177.440 + 144.924i 0.273827 + 0.223649i
\(649\) 119.162 0.183608
\(650\) −61.2559 258.459i −0.0942399 0.397629i
\(651\) 131.286 601.624i 0.201668 0.924154i
\(652\) 103.420 51.9395i 0.158620 0.0796618i
\(653\) −127.263 + 94.7440i −0.194890 + 0.145090i −0.690181 0.723637i \(-0.742469\pi\)
0.495291 + 0.868727i \(0.335062\pi\)
\(654\) −173.900 289.152i −0.265902 0.442129i
\(655\) 546.393 359.368i 0.834188 0.548654i
\(656\) −71.3433 85.0236i −0.108755 0.129609i
\(657\) 399.306 + 394.046i 0.607772 + 0.599766i
\(658\) 455.996 + 382.626i 0.693003 + 0.581498i
\(659\) −135.175 + 1156.49i −0.205121 + 1.75492i 0.362826 + 0.931857i \(0.381812\pi\)
−0.567947 + 0.823065i \(0.692262\pi\)
\(660\) 84.1095 + 328.618i 0.127439 + 0.497907i
\(661\) −38.5347 128.715i −0.0582976 0.194727i 0.923880 0.382682i \(-0.124999\pi\)
−0.982178 + 0.187954i \(0.939814\pi\)
\(662\) 501.002 + 472.671i 0.756800 + 0.714004i
\(663\) −314.928 + 439.183i −0.475005 + 0.662418i
\(664\) 28.6224 38.4465i 0.0431060 0.0579014i
\(665\) 1280.13 + 225.721i 1.92500 + 0.339430i
\(666\) −550.966 + 441.615i −0.827276 + 0.663085i
\(667\) −125.021 709.028i −0.187438 1.06301i
\(668\) −58.8929 + 117.265i −0.0881630 + 0.175547i
\(669\) −247.679 644.443i −0.370222 0.963293i
\(670\) −253.713 + 29.6548i −0.378676 + 0.0442609i
\(671\) 782.877 1190.31i 1.16673 1.77393i
\(672\) 153.321 + 96.9632i 0.228156 + 0.144290i
\(673\) −11.5814 + 38.6845i −0.0172086 + 0.0574807i −0.966163 0.257934i \(-0.916958\pi\)
0.948954 + 0.315414i \(0.102144\pi\)
\(674\) 70.7862 40.8684i 0.105024 0.0606357i
\(675\) 180.507 + 244.807i 0.267418 + 0.362676i
\(676\) 108.979 188.757i 0.161211 0.279226i
\(677\) 146.449 138.167i 0.216320 0.204087i −0.570452 0.821331i \(-0.693232\pi\)
0.786772 + 0.617243i \(0.211751\pi\)
\(678\) 546.565 422.280i 0.806143 0.622832i
\(679\) 30.5140 523.904i 0.0449395 0.771582i
\(680\) 103.995 + 44.8590i 0.152934 + 0.0659691i
\(681\) 10.8921 + 55.9140i 0.0159943 + 0.0821057i
\(682\) 24.0867 + 413.553i 0.0353178 + 0.606383i
\(683\) −374.460 + 1028.82i −0.548257 + 1.50632i 0.287804 + 0.957689i \(0.407075\pi\)
−0.836062 + 0.548635i \(0.815148\pi\)
\(684\) −438.587 + 395.551i −0.641209 + 0.578290i
\(685\) −179.166 + 65.2112i −0.261556 + 0.0951988i
\(686\) −225.815 + 97.4072i −0.329177 + 0.141993i
\(687\) 369.184 28.1258i 0.537385 0.0409400i
\(688\) 160.236 + 37.9767i 0.232901 + 0.0551986i
\(689\) −254.556 + 1074.05i −0.369457 + 1.55886i
\(690\) 503.174 + 241.549i 0.729237 + 0.350072i
\(691\) 230.083 + 533.391i 0.332970 + 0.771912i 0.999647 + 0.0265652i \(0.00845695\pi\)
−0.666677 + 0.745347i \(0.732284\pi\)
\(692\) 5.96559 + 16.3903i 0.00862080 + 0.0236855i
\(693\) 1243.98 778.728i 1.79506 1.12371i
\(694\) −675.597 245.897i −0.973482 0.354319i
\(695\) −83.6155 + 4.87005i −0.120310 + 0.00700726i
\(696\) −112.959 129.838i −0.162298 0.186549i
\(697\) −118.746 + 275.284i −0.170367 + 0.394955i
\(698\) 83.3210 + 4.85289i 0.119371 + 0.00695257i
\(699\) 802.493 108.358i 1.14806 0.155018i
\(700\) 165.275 + 175.181i 0.236107 + 0.250259i
\(701\) 389.117 + 224.657i 0.555089 + 0.320481i 0.751172 0.660107i \(-0.229489\pi\)
−0.196083 + 0.980587i \(0.562822\pi\)
\(702\) −76.8158 + 631.975i −0.109424 + 0.900249i
\(703\) −910.144 1576.42i −1.29466 2.24241i
\(704\) −116.912 35.0011i −0.166068 0.0497175i
\(705\) 437.431 + 17.6461i 0.620469 + 0.0250299i
\(706\) −459.850 302.448i −0.651346 0.428397i
\(707\) −120.240 1028.72i −0.170071 1.45505i
\(708\) 7.31303 46.2943i 0.0103291 0.0653874i
\(709\) 976.492 + 490.413i 1.37728 + 0.691696i 0.974664 0.223673i \(-0.0718047\pi\)
0.402616 + 0.915369i \(0.368101\pi\)
\(710\) −400.984 + 70.7042i −0.564766 + 0.0995834i
\(711\) 324.403 + 957.681i 0.456262 + 1.34695i
\(712\) −11.7923 + 66.8773i −0.0165622 + 0.0939287i
\(713\) 546.748 + 407.039i 0.766827 + 0.570882i
\(714\) 48.1865 487.639i 0.0674881 0.682968i
\(715\) −646.848 + 685.619i −0.904683 + 0.958908i
\(716\) 107.442 32.1661i 0.150059 0.0449247i
\(717\) 240.028 857.176i 0.334767 1.19550i
\(718\) 891.074 + 104.152i 1.24105 + 0.145058i
\(719\) −325.371 + 387.762i −0.452533 + 0.539307i −0.943282 0.331994i \(-0.892279\pi\)
0.490749 + 0.871301i \(0.336723\pi\)
\(720\) 132.830 12.5090i 0.184486 0.0173736i
\(721\) 529.185 444.039i 0.733959 0.615865i
\(722\) −556.110 845.524i −0.770235 1.17109i
\(723\) 180.640 + 100.034i 0.249848 + 0.138360i
\(724\) −216.964 291.433i −0.299674 0.402532i
\(725\) −102.542 204.177i −0.141437 0.281624i
\(726\) −319.034 + 350.490i −0.439441 + 0.482769i
\(727\) −361.426 + 85.6595i −0.497147 + 0.117826i −0.471537 0.881846i \(-0.656301\pi\)
−0.0256094 + 0.999672i \(0.508153\pi\)
\(728\) 504.096i 0.692439i
\(729\) −202.646 700.268i −0.277978 0.960588i
\(730\) 326.697 0.447530
\(731\) −102.581 432.823i −0.140330 0.592098i
\(732\) −414.388 377.198i −0.566104 0.515297i
\(733\) 586.229 294.415i 0.799767 0.401658i −0.00147484 0.999999i \(-0.500469\pi\)
0.801242 + 0.598341i \(0.204173\pi\)
\(734\) −293.432 + 218.452i −0.399771 + 0.297618i
\(735\) −351.549 + 634.818i −0.478297 + 0.863698i
\(736\) −167.771 + 110.345i −0.227950 + 0.149925i
\(737\) −477.901 569.541i −0.648442 0.772783i
\(738\) 33.1125 + 351.614i 0.0448679 + 0.476441i
\(739\) 421.737 + 353.879i 0.570686 + 0.478862i 0.881873 0.471486i \(-0.156282\pi\)
−0.311188 + 0.950348i \(0.600727\pi\)
\(740\) −47.7375 + 408.421i −0.0645102 + 0.551920i
\(741\) −1580.38 442.542i −2.13277 0.597222i
\(742\) −287.044 958.795i −0.386852 1.29218i
\(743\) −722.585 681.723i −0.972523 0.917528i 0.0240944 0.999710i \(-0.492330\pi\)
−0.996617 + 0.0821816i \(0.973811\pi\)
\(744\) 162.144 + 16.0224i 0.217935 + 0.0215354i
\(745\) −414.397 + 556.632i −0.556237 + 0.747156i
\(746\) 472.523 + 83.3186i 0.633409 + 0.111687i
\(747\) −144.453 + 48.9316i −0.193377 + 0.0655042i
\(748\) 57.2425 + 324.638i 0.0765274 + 0.434008i
\(749\) 204.763 407.717i 0.273382 0.544348i
\(750\) 563.229 + 88.9725i 0.750973 + 0.118630i
\(751\) −839.009 + 98.0661i −1.11719 + 0.130581i −0.654588 0.755986i \(-0.727158\pi\)
−0.462601 + 0.886567i \(0.653084\pi\)
\(752\) −86.5495 + 131.592i −0.115092 + 0.174990i
\(753\) 41.5082 1028.95i 0.0551238 1.36647i
\(754\) 137.156 458.133i 0.181905 0.607603i
\(755\) 751.730 434.011i 0.995669 0.574850i
\(756\) −226.192 531.077i −0.299196 0.702482i
\(757\) −270.120 + 467.862i −0.356830 + 0.618047i −0.987429 0.158061i \(-0.949476\pi\)
0.630600 + 0.776108i \(0.282809\pi\)
\(758\) 194.928 183.905i 0.257161 0.242619i
\(759\) 217.383 + 1609.93i 0.286407 + 2.12112i
\(760\) −19.9984 + 343.359i −0.0263137 + 0.451788i
\(761\) 286.693 + 123.667i 0.376732 + 0.162506i 0.576022 0.817434i \(-0.304604\pi\)
−0.199290 + 0.979941i \(0.563864\pi\)
\(762\) 372.418 324.003i 0.488737 0.425201i
\(763\) 49.4315 + 848.707i 0.0647858 + 1.11233i
\(764\) 13.7305 37.7243i 0.0179719 0.0493774i
\(765\) −191.222 305.467i −0.249963 0.399303i
\(766\) −261.183 + 95.0627i −0.340970 + 0.124103i
\(767\) 119.586 51.5842i 0.155913 0.0672545i
\(768\) −20.7729 + 43.2722i −0.0270481 + 0.0563441i
\(769\) −171.559 40.6602i −0.223093 0.0528741i 0.117549 0.993067i \(-0.462496\pi\)
−0.340642 + 0.940193i \(0.610644\pi\)
\(770\) 197.100 831.629i 0.255974 1.08004i
\(771\) −16.1092 211.452i −0.0208939 0.274256i