Properties

Label 483.2.y.b.4.11
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.11
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.733120 - 1.02952i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.131683 + 0.380473i) q^{4} +(0.00357914 - 0.0751355i) q^{5} +(-0.827663 - 0.955174i) q^{6} +(1.84836 + 1.89303i) q^{7} +(2.91361 + 0.855512i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.733120 - 1.02952i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.131683 + 0.380473i) q^{4} +(0.00357914 - 0.0751355i) q^{5} +(-0.827663 - 0.955174i) q^{6} +(1.84836 + 1.89303i) q^{7} +(2.91361 + 0.855512i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-0.0747298 - 0.0587682i) q^{10} +(3.67794 + 5.16495i) q^{11} +(0.400794 - 0.0382712i) q^{12} +(0.444495 - 3.09153i) q^{13} +(3.30399 - 0.515107i) q^{14} +(-0.0721737 - 0.0211921i) q^{15} +(2.38384 - 1.87467i) q^{16} +(-6.91553 + 1.33286i) q^{17} +(-1.12338 + 0.579142i) q^{18} +(-0.610815 - 0.117725i) q^{19} +(0.0290583 - 0.00853230i) q^{20} +(2.27544 - 1.34996i) q^{21} +8.01381 q^{22} +(-1.04556 - 4.68047i) q^{23} +(1.51831 - 2.62978i) q^{24} +(4.97173 + 0.474742i) q^{25} +(-2.85693 - 2.72408i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-0.476851 + 0.952531i) q^{28} +(-6.63857 - 7.66131i) q^{29} +(-0.0747298 + 0.0587682i) q^{30} +(3.91029 - 3.72846i) q^{31} +(0.106598 + 2.23777i) q^{32} +(5.88647 - 2.35659i) q^{33} +(-3.69771 + 8.09684i) q^{34} +(0.148850 - 0.132102i) q^{35} +(0.0572983 - 0.398519i) q^{36} +(0.313056 + 0.161392i) q^{37} +(-0.569001 + 0.542541i) q^{38} +(-2.89959 - 1.16082i) q^{39} +(0.0747075 - 0.215853i) q^{40} +(-6.85357 - 4.40452i) q^{41} +(0.278359 - 3.33230i) q^{42} +(-4.84728 + 1.42329i) q^{43} +(-1.48080 + 2.07950i) q^{44} +(-0.0376103 + 0.0651430i) q^{45} +(-5.58517 - 2.35492i) q^{46} +(2.30886 + 3.99906i) q^{47} +(-1.25982 - 2.75861i) q^{48} +(-0.167148 + 6.99800i) q^{49} +(4.13363 - 4.77047i) q^{50} +(-0.335110 + 7.03483i) q^{51} +(1.23478 - 0.237984i) q^{52} +(1.37971 + 0.552351i) q^{53} +(0.297970 + 1.22825i) q^{54} +(0.401235 - 0.257858i) q^{55} +(3.76587 + 7.09684i) q^{56} +(-0.258411 + 0.565842i) q^{57} +(-12.7544 + 1.21789i) q^{58} +(3.25372 + 2.55875i) q^{59} +(-0.00144102 - 0.0302508i) q^{60} +(-1.30754 - 5.38974i) q^{61} +(-0.971818 - 6.75915i) q^{62} +(-0.775448 - 2.52956i) q^{63} +(7.48447 + 4.80997i) q^{64} +(-0.230693 - 0.0444624i) q^{65} +(1.88933 - 7.78792i) q^{66} +(-0.716391 - 0.0684070i) q^{67} +(-1.41778 - 2.45566i) q^{68} +(-4.79504 - 0.0873751i) q^{69} +(-0.0268773 - 0.250091i) q^{70} +(-0.989784 - 2.16732i) q^{71} +(-2.19770 - 2.09550i) q^{72} +(-0.562279 - 1.62460i) q^{73} +(0.395665 - 0.203979i) q^{74} +(1.63349 - 4.71966i) q^{75} +(-0.0356428 - 0.247901i) q^{76} +(-2.97926 + 16.5091i) q^{77} +(-3.32084 + 2.13417i) q^{78} +(-5.66212 + 2.26677i) q^{79} +(-0.132322 - 0.185820i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-9.55905 + 3.82687i) q^{82} +(-1.80595 + 1.16061i) q^{83} +(0.813259 + 0.687977i) q^{84} +(0.0753934 + 0.524372i) q^{85} +(-2.08833 + 6.03382i) q^{86} +(-9.01046 + 4.64521i) q^{87} +(6.29741 + 18.1952i) q^{88} +(-7.20750 - 6.87234i) q^{89} +(0.0394934 + 0.0864784i) q^{90} +(6.67395 - 4.87281i) q^{91} +(1.64311 - 1.01415i) q^{92} +(-2.70147 - 4.67909i) q^{93} +(5.80980 + 0.554769i) q^{94} +(-0.0110315 + 0.0454725i) q^{95} +(2.19982 + 0.423981i) q^{96} +(7.31072 + 4.69832i) q^{97} +(7.08207 + 5.30246i) q^{98} +(-0.902370 - 6.27612i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.733120 1.02952i 0.518394 0.727983i −0.469531 0.882916i \(-0.655577\pi\)
0.987925 + 0.154933i \(0.0495163\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) 0.131683 + 0.380473i 0.0658415 + 0.190237i
\(5\) 0.00357914 0.0751355i 0.00160064 0.0336016i −0.997926 0.0643760i \(-0.979494\pi\)
0.999526 + 0.0307744i \(0.00979734\pi\)
\(6\) −0.827663 0.955174i −0.337892 0.389948i
\(7\) 1.84836 + 1.89303i 0.698614 + 0.715499i
\(8\) 2.91361 + 0.855512i 1.03012 + 0.302469i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −0.0747298 0.0587682i −0.0236316 0.0185841i
\(11\) 3.67794 + 5.16495i 1.10894 + 1.55729i 0.793730 + 0.608270i \(0.208136\pi\)
0.315212 + 0.949021i \(0.397924\pi\)
\(12\) 0.400794 0.0382712i 0.115699 0.0110479i
\(13\) 0.444495 3.09153i 0.123281 0.857436i −0.830518 0.556991i \(-0.811956\pi\)
0.953799 0.300445i \(-0.0971352\pi\)
\(14\) 3.30399 0.515107i 0.883028 0.137668i
\(15\) −0.0721737 0.0211921i −0.0186352 0.00547178i
\(16\) 2.38384 1.87467i 0.595959 0.468667i
\(17\) −6.91553 + 1.33286i −1.67726 + 0.323266i −0.937073 0.349133i \(-0.886476\pi\)
−0.740189 + 0.672399i \(0.765264\pi\)
\(18\) −1.12338 + 0.579142i −0.264783 + 0.136505i
\(19\) −0.610815 0.117725i −0.140131 0.0270079i 0.118704 0.992930i \(-0.462126\pi\)
−0.258834 + 0.965922i \(0.583338\pi\)
\(20\) 0.0290583 0.00853230i 0.00649764 0.00190788i
\(21\) 2.27544 1.34996i 0.496541 0.294585i
\(22\) 8.01381 1.70855
\(23\) −1.04556 4.68047i −0.218014 0.975946i
\(24\) 1.51831 2.62978i 0.309923 0.536802i
\(25\) 4.97173 + 0.474742i 0.994345 + 0.0949485i
\(26\) −2.85693 2.72408i −0.560291 0.534236i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −0.476851 + 0.952531i −0.0901163 + 0.180011i
\(29\) −6.63857 7.66131i −1.23275 1.42267i −0.871639 0.490148i \(-0.836943\pi\)
−0.361111 0.932523i \(-0.617603\pi\)
\(30\) −0.0747298 + 0.0587682i −0.0136437 + 0.0107295i
\(31\) 3.91029 3.72846i 0.702310 0.669651i −0.252253 0.967661i \(-0.581172\pi\)
0.954563 + 0.298011i \(0.0963231\pi\)
\(32\) 0.106598 + 2.23777i 0.0188440 + 0.395585i
\(33\) 5.88647 2.35659i 1.02470 0.410229i
\(34\) −3.69771 + 8.09684i −0.634151 + 1.38860i
\(35\) 0.148850 0.132102i 0.0251602 0.0223293i
\(36\) 0.0572983 0.398519i 0.00954972 0.0664198i
\(37\) 0.313056 + 0.161392i 0.0514662 + 0.0265327i 0.483768 0.875197i \(-0.339268\pi\)
−0.432301 + 0.901729i \(0.642298\pi\)
\(38\) −0.569001 + 0.542541i −0.0923042 + 0.0880119i
\(39\) −2.89959 1.16082i −0.464306 0.185880i
\(40\) 0.0747075 0.215853i 0.0118123 0.0341294i
\(41\) −6.85357 4.40452i −1.07035 0.687871i −0.118040 0.993009i \(-0.537661\pi\)
−0.952308 + 0.305138i \(0.901297\pi\)
\(42\) 0.278359 3.33230i 0.0429517 0.514185i
\(43\) −4.84728 + 1.42329i −0.739203 + 0.217049i −0.629593 0.776925i \(-0.716778\pi\)
−0.109610 + 0.993975i \(0.534960\pi\)
\(44\) −1.48080 + 2.07950i −0.223239 + 0.313496i
\(45\) −0.0376103 + 0.0651430i −0.00560662 + 0.00971095i
\(46\) −5.58517 2.35492i −0.823489 0.347214i
\(47\) 2.30886 + 3.99906i 0.336782 + 0.583324i 0.983825 0.179130i \(-0.0573281\pi\)
−0.647043 + 0.762453i \(0.723995\pi\)
\(48\) −1.25982 2.75861i −0.181839 0.398171i
\(49\) −0.167148 + 6.99800i −0.0238782 + 0.999715i
\(50\) 4.13363 4.77047i 0.584584 0.674646i
\(51\) −0.335110 + 7.03483i −0.0469248 + 0.985073i
\(52\) 1.23478 0.237984i 0.171233 0.0330024i
\(53\) 1.37971 + 0.552351i 0.189517 + 0.0758713i 0.464480 0.885584i \(-0.346241\pi\)
−0.274963 + 0.961455i \(0.588666\pi\)
\(54\) 0.297970 + 1.22825i 0.0405486 + 0.167144i
\(55\) 0.401235 0.257858i 0.0541025 0.0347696i
\(56\) 3.76587 + 7.09684i 0.503236 + 0.948356i
\(57\) −0.258411 + 0.565842i −0.0342274 + 0.0749476i
\(58\) −12.7544 + 1.21789i −1.67473 + 0.159917i
\(59\) 3.25372 + 2.55875i 0.423598 + 0.333121i 0.807096 0.590421i \(-0.201038\pi\)
−0.383498 + 0.923542i \(0.625281\pi\)
\(60\) −0.00144102 0.0302508i −0.000186035 0.00390536i
\(61\) −1.30754 5.38974i −0.167413 0.690085i −0.992202 0.124644i \(-0.960221\pi\)
0.824789 0.565441i \(-0.191294\pi\)
\(62\) −0.971818 6.75915i −0.123421 0.858412i
\(63\) −0.775448 2.52956i −0.0976973 0.318695i
\(64\) 7.48447 + 4.80997i 0.935558 + 0.601247i
\(65\) −0.230693 0.0444624i −0.0286139 0.00551488i
\(66\) 1.88933 7.78792i 0.232560 0.958626i
\(67\) −0.716391 0.0684070i −0.0875210 0.00835725i 0.0512036 0.998688i \(-0.483694\pi\)
−0.138725 + 0.990331i \(0.544300\pi\)
\(68\) −1.41778 2.45566i −0.171930 0.297792i
\(69\) −4.79504 0.0873751i −0.577254 0.0105187i
\(70\) −0.0268773 0.250091i −0.00321246 0.0298915i
\(71\) −0.989784 2.16732i −0.117466 0.257214i 0.841762 0.539849i \(-0.181519\pi\)
−0.959228 + 0.282635i \(0.908791\pi\)
\(72\) −2.19770 2.09550i −0.259001 0.246957i
\(73\) −0.562279 1.62460i −0.0658098 0.190145i 0.907301 0.420481i \(-0.138139\pi\)
−0.973111 + 0.230336i \(0.926017\pi\)
\(74\) 0.395665 0.203979i 0.0459951 0.0237121i
\(75\) 1.63349 4.71966i 0.188619 0.544979i
\(76\) −0.0356428 0.247901i −0.00408851 0.0284362i
\(77\) −2.97926 + 16.5091i −0.339519 + 1.88139i
\(78\) −3.32084 + 2.13417i −0.376011 + 0.241648i
\(79\) −5.66212 + 2.26677i −0.637039 + 0.255032i −0.667622 0.744500i \(-0.732688\pi\)
0.0305834 + 0.999532i \(0.490263\pi\)
\(80\) −0.132322 0.185820i −0.0147941 0.0207754i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −9.55905 + 3.82687i −1.05562 + 0.422607i
\(83\) −1.80595 + 1.16061i −0.198229 + 0.127394i −0.635990 0.771698i \(-0.719408\pi\)
0.437761 + 0.899091i \(0.355772\pi\)
\(84\) 0.813259 + 0.687977i 0.0887338 + 0.0750644i
\(85\) 0.0753934 + 0.524372i 0.00817756 + 0.0568762i
\(86\) −2.08833 + 6.03382i −0.225190 + 0.650644i
\(87\) −9.01046 + 4.64521i −0.966022 + 0.498019i
\(88\) 6.29741 + 18.1952i 0.671306 + 1.93961i
\(89\) −7.20750 6.87234i −0.763994 0.728466i 0.204129 0.978944i \(-0.434564\pi\)
−0.968122 + 0.250478i \(0.919412\pi\)
\(90\) 0.0394934 + 0.0864784i 0.00416297 + 0.00911562i
\(91\) 6.67395 4.87281i 0.699620 0.510809i
\(92\) 1.64311 1.01415i 0.171306 0.105732i
\(93\) −2.70147 4.67909i −0.280130 0.485199i
\(94\) 5.80980 + 0.554769i 0.599235 + 0.0572200i
\(95\) −0.0110315 + 0.0454725i −0.00113181 + 0.00466538i
\(96\) 2.19982 + 0.423981i 0.224518 + 0.0432723i
\(97\) 7.31072 + 4.69832i 0.742291 + 0.477042i 0.856326 0.516435i \(-0.172741\pi\)
−0.114035 + 0.993477i \(0.536378\pi\)
\(98\) 7.08207 + 5.30246i 0.715397 + 0.535629i
\(99\) −0.902370 6.27612i −0.0906916 0.630774i
\(100\) 0.474065 + 1.95412i 0.0474065 + 0.195412i
\(101\) −0.250952 5.26814i −0.0249707 0.524199i −0.976352 0.216185i \(-0.930639\pi\)
0.951382 0.308014i \(-0.0996645\pi\)
\(102\) 6.99684 + 5.50238i 0.692790 + 0.544816i
\(103\) 3.54958 0.338944i 0.349750 0.0333971i 0.0812973 0.996690i \(-0.474094\pi\)
0.268453 + 0.963293i \(0.413488\pi\)
\(104\) 3.93992 8.62723i 0.386341 0.845969i
\(105\) −0.0932855 0.175798i −0.00910373 0.0171561i
\(106\) 1.58015 1.01550i 0.153478 0.0986341i
\(107\) −1.60082 6.59866i −0.154757 0.637916i −0.995356 0.0962591i \(-0.969312\pi\)
0.840599 0.541657i \(-0.182203\pi\)
\(108\) −0.373776 0.149638i −0.0359667 0.0143989i
\(109\) 1.28445 0.247558i 0.123028 0.0237117i −0.127365 0.991856i \(-0.540652\pi\)
0.250394 + 0.968144i \(0.419440\pi\)
\(110\) 0.0286826 0.602122i 0.00273478 0.0574101i
\(111\) 0.230648 0.266182i 0.0218922 0.0252649i
\(112\) 7.95500 + 1.04762i 0.751676 + 0.0989909i
\(113\) 7.18773 + 15.7389i 0.676165 + 1.48059i 0.866656 + 0.498906i \(0.166265\pi\)
−0.190491 + 0.981689i \(0.561008\pi\)
\(114\) 0.393101 + 0.680871i 0.0368173 + 0.0637694i
\(115\) −0.355412 + 0.0618066i −0.0331423 + 0.00576350i
\(116\) 2.04074 3.53466i 0.189478 0.328185i
\(117\) −1.81170 + 2.54418i −0.167492 + 0.235210i
\(118\) 5.01966 1.47391i 0.462097 0.135684i
\(119\) −15.3055 10.6277i −1.40305 0.974242i
\(120\) −0.192156 0.123491i −0.0175413 0.0112731i
\(121\) −9.55169 + 27.5978i −0.868335 + 2.50889i
\(122\) −6.50744 2.60519i −0.589156 0.235862i
\(123\) −5.89616 + 5.62197i −0.531638 + 0.506916i
\(124\) 1.93350 + 0.996787i 0.173633 + 0.0895141i
\(125\) 0.106990 0.744129i 0.00956944 0.0665569i
\(126\) −3.17274 1.05613i −0.282650 0.0940876i
\(127\) 3.38581 7.41388i 0.300442 0.657876i −0.697854 0.716240i \(-0.745861\pi\)
0.998295 + 0.0583648i \(0.0185886\pi\)
\(128\) 6.27934 2.51387i 0.555020 0.222197i
\(129\) 0.240380 + 5.04619i 0.0211643 + 0.444292i
\(130\) −0.214901 + 0.204907i −0.0188480 + 0.0179716i
\(131\) −15.6459 + 12.3041i −1.36699 + 1.07501i −0.378196 + 0.925725i \(0.623456\pi\)
−0.988794 + 0.149287i \(0.952302\pi\)
\(132\) 1.67177 + 1.92932i 0.145508 + 0.167926i
\(133\) −0.906147 1.37389i −0.0785729 0.119131i
\(134\) −0.595627 + 0.687390i −0.0514543 + 0.0593815i
\(135\) 0.0544398 + 0.0519082i 0.00468543 + 0.00446755i
\(136\) −21.2894 2.03289i −1.82555 0.174319i
\(137\) 1.11155 1.92525i 0.0949658 0.164486i −0.814629 0.579983i \(-0.803059\pi\)
0.909594 + 0.415497i \(0.136392\pi\)
\(138\) −3.60529 + 4.87254i −0.306903 + 0.414778i
\(139\) −9.21245 −0.781390 −0.390695 0.920520i \(-0.627765\pi\)
−0.390695 + 0.920520i \(0.627765\pi\)
\(140\) 0.0698622 + 0.0392377i 0.00590443 + 0.00331619i
\(141\) 4.43067 1.30096i 0.373130 0.109561i
\(142\) −2.95694 0.569904i −0.248141 0.0478253i
\(143\) 17.6024 9.07468i 1.47199 0.758863i
\(144\) −2.97786 + 0.573936i −0.248155 + 0.0478280i
\(145\) −0.599397 + 0.471371i −0.0497772 + 0.0391452i
\(146\) −2.08478 0.612147i −0.172538 0.0506617i
\(147\) 6.76133 + 1.81228i 0.557665 + 0.149474i
\(148\) −0.0201810 + 0.140362i −0.00165887 + 0.0115377i
\(149\) −12.9133 + 1.23307i −1.05790 + 0.101017i −0.609476 0.792805i \(-0.708620\pi\)
−0.448422 + 0.893822i \(0.648014\pi\)
\(150\) −3.66145 5.14179i −0.298956 0.419825i
\(151\) −8.09403 6.36522i −0.658683 0.517994i 0.231944 0.972729i \(-0.425491\pi\)
−0.890627 + 0.454735i \(0.849734\pi\)
\(152\) −1.67896 0.865563i −0.136182 0.0702065i
\(153\) 6.75752 + 1.98419i 0.546313 + 0.160412i
\(154\) 14.8124 + 15.1704i 1.19362 + 1.22247i
\(155\) −0.266144 0.307147i −0.0213772 0.0246706i
\(156\) 0.0598343 1.25608i 0.00479058 0.100567i
\(157\) 5.37102 + 15.5186i 0.428654 + 1.23852i 0.928152 + 0.372200i \(0.121397\pi\)
−0.499498 + 0.866315i \(0.666482\pi\)
\(158\) −1.81732 + 7.49110i −0.144578 + 0.595960i
\(159\) 0.862059 1.21059i 0.0683658 0.0960063i
\(160\) 0.168517 0.0133225
\(161\) 6.92772 10.6305i 0.545980 0.837798i
\(162\) 1.26388 0.0992995
\(163\) 13.4091 18.8304i 1.05028 1.47491i 0.179178 0.983817i \(-0.442656\pi\)
0.871104 0.491098i \(-0.163404\pi\)
\(164\) 0.773303 3.18760i 0.0603848 0.248910i
\(165\) −0.155995 0.450717i −0.0121442 0.0350883i
\(166\) −0.129100 + 2.71014i −0.0100201 + 0.210347i
\(167\) −7.24001 8.35542i −0.560249 0.646562i 0.402991 0.915204i \(-0.367971\pi\)
−0.963240 + 0.268642i \(0.913425\pi\)
\(168\) 7.78463 1.98658i 0.600598 0.153268i
\(169\) 3.11343 + 0.914185i 0.239494 + 0.0703219i
\(170\) 0.595126 + 0.306809i 0.0456441 + 0.0235312i
\(171\) 0.488969 + 0.384530i 0.0373924 + 0.0294057i
\(172\) −1.17983 1.65683i −0.0899610 0.126332i
\(173\) 22.5678 2.15496i 1.71580 0.163839i 0.809683 0.586868i \(-0.199639\pi\)
0.906116 + 0.423029i \(0.139033\pi\)
\(174\) −1.82339 + 12.6820i −0.138231 + 0.961418i
\(175\) 8.29083 + 10.2891i 0.626728 + 0.777786i
\(176\) 18.4502 + 5.41747i 1.39074 + 0.408357i
\(177\) 3.25372 2.55875i 0.244564 0.192328i
\(178\) −12.3592 + 2.38204i −0.926361 + 0.178541i
\(179\) −20.0417 + 10.3322i −1.49799 + 0.772267i −0.995718 0.0924426i \(-0.970533\pi\)
−0.502272 + 0.864710i \(0.667502\pi\)
\(180\) −0.0297378 0.00573149i −0.00221653 0.000427200i
\(181\) −1.27733 + 0.375059i −0.0949435 + 0.0278779i −0.328859 0.944379i \(-0.606664\pi\)
0.233916 + 0.972257i \(0.424846\pi\)
\(182\) −0.123861 10.4433i −0.00918117 0.774112i
\(183\) −5.54607 −0.409977
\(184\) 0.957847 14.5315i 0.0706134 1.07128i
\(185\) 0.0132467 0.0229440i 0.000973919 0.00168688i
\(186\) −6.79773 0.649105i −0.498434 0.0475947i
\(187\) −32.3191 30.8162i −2.36341 2.25350i
\(188\) −1.21750 + 1.40507i −0.0887952 + 0.102475i
\(189\) −2.64108 + 0.157223i −0.192110 + 0.0114363i
\(190\) 0.0387276 + 0.0446940i 0.00280959 + 0.00324244i
\(191\) 6.04578 4.75445i 0.437457 0.344020i −0.375016 0.927018i \(-0.622363\pi\)
0.812473 + 0.582998i \(0.198121\pi\)
\(192\) 6.43892 6.13950i 0.464689 0.443080i
\(193\) −0.0328413 0.689424i −0.00236397 0.0496258i 0.997377 0.0723801i \(-0.0230595\pi\)
−0.999741 + 0.0227543i \(0.992756\pi\)
\(194\) 10.1967 4.08213i 0.732078 0.293080i
\(195\) −0.0975969 + 0.213707i −0.00698906 + 0.0153039i
\(196\) −2.68456 + 0.857923i −0.191754 + 0.0612802i
\(197\) −2.24790 + 15.6345i −0.160156 + 1.11391i 0.738180 + 0.674604i \(0.235686\pi\)
−0.898336 + 0.439309i \(0.855224\pi\)
\(198\) −7.12296 3.67214i −0.506207 0.260968i
\(199\) −0.812173 + 0.774405i −0.0575734 + 0.0548961i −0.718320 0.695713i \(-0.755088\pi\)
0.660746 + 0.750609i \(0.270240\pi\)
\(200\) 14.0795 + 5.63658i 0.995572 + 0.398567i
\(201\) −0.235374 + 0.680069i −0.0166020 + 0.0479684i
\(202\) −5.60765 3.60382i −0.394553 0.253564i
\(203\) 2.23267 26.7279i 0.156703 1.87593i
\(204\) −2.72069 + 0.798867i −0.190486 + 0.0559319i
\(205\) −0.355466 + 0.499182i −0.0248268 + 0.0348644i
\(206\) 2.25332 3.90286i 0.156996 0.271925i
\(207\) −1.21538 + 4.63927i −0.0844751 + 0.322452i
\(208\) −4.73599 8.20298i −0.328382 0.568775i
\(209\) −1.63850 3.58781i −0.113337 0.248174i
\(210\) −0.249377 0.0328414i −0.0172087 0.00226627i
\(211\) 13.8252 15.9552i 0.951769 1.09840i −0.0432845 0.999063i \(-0.513782\pi\)
0.995054 0.0993376i \(-0.0316724\pi\)
\(212\) −0.0284708 + 0.597676i −0.00195539 + 0.0410486i
\(213\) −2.33958 + 0.450917i −0.160305 + 0.0308964i
\(214\) −7.96706 3.18953i −0.544617 0.218032i
\(215\) 0.0895904 + 0.369297i 0.00611001 + 0.0251858i
\(216\) −2.55456 + 1.64172i −0.173816 + 0.111705i
\(217\) 14.2857 + 0.510792i 0.969778 + 0.0346748i
\(218\) 0.686790 1.50386i 0.0465153 0.101854i
\(219\) −1.71137 + 0.163416i −0.115643 + 0.0110426i
\(220\) 0.150944 + 0.118704i 0.0101766 + 0.00800300i
\(221\) 1.04666 + 21.9720i 0.0704057 + 1.47800i
\(222\) −0.104948 0.432601i −0.00704365 0.0290343i
\(223\) 3.43736 + 23.9074i 0.230183 + 1.60096i 0.697312 + 0.716768i \(0.254379\pi\)
−0.467129 + 0.884189i \(0.654712\pi\)
\(224\) −4.03914 + 4.33799i −0.269876 + 0.289844i
\(225\) −4.20151 2.70015i −0.280101 0.180010i
\(226\) 21.4731 + 4.13860i 1.42837 + 0.275295i
\(227\) 5.78821 23.8593i 0.384177 1.58360i −0.371358 0.928490i \(-0.621108\pi\)
0.755535 0.655109i \(-0.227377\pi\)
\(228\) −0.249316 0.0238068i −0.0165114 0.00157664i
\(229\) −9.84358 17.0496i −0.650482 1.12667i −0.983006 0.183573i \(-0.941233\pi\)
0.332524 0.943095i \(-0.392100\pi\)
\(230\) −0.196928 + 0.411216i −0.0129851 + 0.0271148i
\(231\) 15.3414 + 6.78746i 1.00939 + 0.446582i
\(232\) −12.7878 28.0014i −0.839562 1.83838i
\(233\) −6.49144 6.18958i −0.425268 0.405493i 0.446989 0.894539i \(-0.352496\pi\)
−0.872258 + 0.489047i \(0.837345\pi\)
\(234\) 1.29110 + 3.73038i 0.0844017 + 0.243863i
\(235\) 0.308735 0.159164i 0.0201397 0.0103827i
\(236\) −0.545077 + 1.57490i −0.0354815 + 0.102517i
\(237\) 0.867979 + 6.03693i 0.0563813 + 0.392141i
\(238\) −22.1623 + 7.96599i −1.43657 + 0.516358i
\(239\) −7.40879 + 4.76134i −0.479235 + 0.307985i −0.757863 0.652414i \(-0.773757\pi\)
0.278628 + 0.960399i \(0.410120\pi\)
\(240\) −0.211779 + 0.0847834i −0.0136703 + 0.00547274i
\(241\) −1.25579 1.76351i −0.0808926 0.113598i 0.772147 0.635444i \(-0.219183\pi\)
−0.853040 + 0.521846i \(0.825243\pi\)
\(242\) 21.4100 + 30.0662i 1.37629 + 1.93273i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 1.87847 1.20722i 0.120257 0.0772843i
\(245\) 0.525200 + 0.0376056i 0.0335538 + 0.00240253i
\(246\) 1.46536 + 10.1918i 0.0934280 + 0.649806i
\(247\) −0.635454 + 1.83602i −0.0404330 + 0.116823i
\(248\) 14.5828 7.51795i 0.926009 0.477391i
\(249\) 0.702129 + 2.02867i 0.0444956 + 0.128562i
\(250\) −0.687662 0.655685i −0.0434916 0.0414691i
\(251\) −8.54393 18.7086i −0.539288 1.18088i −0.961607 0.274429i \(-0.911511\pi\)
0.422320 0.906447i \(-0.361216\pi\)
\(252\) 0.860317 0.628137i 0.0541949 0.0395689i
\(253\) 20.3289 22.6148i 1.27807 1.42178i
\(254\) −5.15056 8.92103i −0.323175 0.559755i
\(255\) 0.527366 + 0.0503573i 0.0330249 + 0.00315350i
\(256\) −2.17958 + 8.98434i −0.136224 + 0.561521i
\(257\) −16.9644 3.26962i −1.05821 0.203953i −0.369678 0.929160i \(-0.620532\pi\)
−0.688531 + 0.725207i \(0.741744\pi\)
\(258\) 5.37140 + 3.45199i 0.334409 + 0.214911i
\(259\) 0.273120 + 0.890936i 0.0169709 + 0.0553601i
\(260\) −0.0134616 0.0936273i −0.000834851 0.00580652i
\(261\) 2.38998 + 9.85162i 0.147936 + 0.609800i
\(262\) 1.19700 + 25.1282i 0.0739512 + 1.55243i
\(263\) 11.2486 + 8.84600i 0.693618 + 0.545468i 0.901550 0.432676i \(-0.142431\pi\)
−0.207931 + 0.978143i \(0.566673\pi\)
\(264\) 19.1669 1.83022i 1.17964 0.112642i
\(265\) 0.0464393 0.101688i 0.00285275 0.00624664i
\(266\) −2.07877 0.0743272i −0.127457 0.00455729i
\(267\) −8.37785 + 5.38412i −0.512716 + 0.329503i
\(268\) −0.0683094 0.281575i −0.00417266 0.0172000i
\(269\) 10.0264 + 4.01395i 0.611318 + 0.244735i 0.656599 0.754240i \(-0.271994\pi\)
−0.0452816 + 0.998974i \(0.514419\pi\)
\(270\) 0.0933516 0.0179921i 0.00568120 0.00109496i
\(271\) 0.857483 18.0008i 0.0520884 1.09347i −0.809908 0.586556i \(-0.800483\pi\)
0.861997 0.506914i \(-0.169214\pi\)
\(272\) −13.9868 + 16.1417i −0.848076 + 0.978732i
\(273\) −3.16201 7.63463i −0.191373 0.462069i
\(274\) −1.16720 2.55581i −0.0705130 0.154402i
\(275\) 15.8337 + 27.4248i 0.954809 + 1.65378i
\(276\) −0.598181 1.83589i −0.0360063 0.110507i
\(277\) −14.2477 + 24.6777i −0.856059 + 1.48274i 0.0195997 + 0.999808i \(0.493761\pi\)
−0.875659 + 0.482930i \(0.839573\pi\)
\(278\) −6.75384 + 9.48443i −0.405068 + 0.568839i
\(279\) −5.18409 + 1.52218i −0.310363 + 0.0911308i
\(280\) 0.546704 0.257550i 0.0326718 0.0153916i
\(281\) −10.2375 6.57922i −0.610716 0.392483i 0.198410 0.980119i \(-0.436422\pi\)
−0.809125 + 0.587636i \(0.800059\pi\)
\(282\) 1.90884 5.51524i 0.113670 0.328428i
\(283\) 25.2565 + 10.1112i 1.50134 + 0.601047i 0.969346 0.245699i \(-0.0790175\pi\)
0.531997 + 0.846746i \(0.321442\pi\)
\(284\) 0.694271 0.661986i 0.0411974 0.0392816i
\(285\) 0.0415899 + 0.0214411i 0.00246358 + 0.00127006i
\(286\) 3.56210 24.7749i 0.210631 1.46497i
\(287\) −4.32994 21.1152i −0.255588 1.24639i
\(288\) 0.930657 2.03785i 0.0548395 0.120082i
\(289\) 30.2658 12.1166i 1.78034 0.712741i
\(290\) 0.0458574 + 0.962665i 0.00269284 + 0.0565296i
\(291\) 6.28945 5.99698i 0.368694 0.351549i
\(292\) 0.544074 0.427864i 0.0318395 0.0250389i
\(293\) 10.0971 + 11.6526i 0.589876 + 0.680754i 0.969698 0.244306i \(-0.0785602\pi\)
−0.379822 + 0.925060i \(0.624015\pi\)
\(294\) 6.82265 5.63233i 0.397905 0.328484i
\(295\) 0.203899 0.235312i 0.0118714 0.0137004i
\(296\) 0.774051 + 0.738056i 0.0449908 + 0.0428986i
\(297\) −6.31195 0.602718i −0.366257 0.0349733i
\(298\) −8.19752 + 14.1985i −0.474870 + 0.822498i
\(299\) −14.9346 + 1.15194i −0.863688 + 0.0666182i
\(300\) 2.01081 0.116094
\(301\) −11.6538 6.54531i −0.671716 0.377265i
\(302\) −12.4870 + 3.66652i −0.718548 + 0.210985i
\(303\) −5.17880 0.998132i −0.297514 0.0573412i
\(304\) −1.67678 + 0.864439i −0.0961698 + 0.0495790i
\(305\) −0.409640 + 0.0789517i −0.0234559 + 0.00452076i
\(306\) 6.99684 5.50238i 0.399983 0.314550i
\(307\) 14.9154 + 4.37957i 0.851269 + 0.249955i 0.678130 0.734942i \(-0.262791\pi\)
0.173140 + 0.984897i \(0.444609\pi\)
\(308\) −6.67360 + 1.04044i −0.380264 + 0.0592848i
\(309\) 0.507455 3.52943i 0.0288681 0.200782i
\(310\) −0.511330 + 0.0488261i −0.0290416 + 0.00277314i
\(311\) 5.60588 + 7.87235i 0.317880 + 0.446400i 0.942340 0.334657i \(-0.108620\pi\)
−0.624460 + 0.781057i \(0.714681\pi\)
\(312\) −7.45517 5.86281i −0.422066 0.331916i
\(313\) 5.46412 + 2.81695i 0.308850 + 0.159223i 0.605683 0.795706i \(-0.292900\pi\)
−0.296833 + 0.954929i \(0.595930\pi\)
\(314\) 19.9143 + 5.84737i 1.12383 + 0.329986i
\(315\) −0.192835 + 0.0492100i −0.0108650 + 0.00277267i
\(316\) −1.60805 1.85579i −0.0904599 0.104396i
\(317\) −0.0292047 + 0.613082i −0.00164030 + 0.0344341i −0.999539 0.0303578i \(-0.990335\pi\)
0.997899 + 0.0647919i \(0.0206384\pi\)
\(318\) −0.614340 1.77502i −0.0344505 0.0995382i
\(319\) 15.1540 62.4658i 0.848463 3.49741i
\(320\) 0.388188 0.545133i 0.0217004 0.0304739i
\(321\) −6.79006 −0.378984
\(322\) −5.86546 14.9257i −0.326869 0.831774i
\(323\) 4.38102 0.243766
\(324\) −0.233541 + 0.327962i −0.0129745 + 0.0182201i
\(325\) 3.67759 15.1592i 0.203996 0.840882i
\(326\) −9.55590 27.6100i −0.529252 1.52917i
\(327\) 0.0622414 1.30661i 0.00344196 0.0722556i
\(328\) −16.2005 18.6964i −0.894522 1.03233i
\(329\) −3.30276 + 11.7625i −0.182087 + 0.648485i
\(330\) −0.578387 0.169830i −0.0318391 0.00934881i
\(331\) −1.32898 0.685136i −0.0730473 0.0376585i 0.421316 0.906914i \(-0.361568\pi\)
−0.494363 + 0.869255i \(0.664599\pi\)
\(332\) −0.679395 0.534282i −0.0372866 0.0293225i
\(333\) −0.204302 0.286902i −0.0111957 0.0157221i
\(334\) −13.9099 + 1.32823i −0.761116 + 0.0726778i
\(335\) −0.00770386 + 0.0535815i −0.000420907 + 0.00292747i
\(336\) 2.89355 7.48377i 0.157856 0.408273i
\(337\) 5.01093 + 1.47134i 0.272963 + 0.0801492i 0.415349 0.909662i \(-0.363659\pi\)
−0.142386 + 0.989811i \(0.545478\pi\)
\(338\) 3.22369 2.53514i 0.175346 0.137893i
\(339\) 16.9899 3.27453i 0.922762 0.177848i
\(340\) −0.189582 + 0.0977361i −0.0102815 + 0.00530048i
\(341\) 33.6391 + 6.48341i 1.82166 + 0.351097i
\(342\) 0.754355 0.221499i 0.0407909 0.0119773i
\(343\) −13.5564 + 12.6184i −0.731977 + 0.681330i
\(344\) −15.3407 −0.827115
\(345\) −0.0237271 + 0.359965i −0.00127742 + 0.0193798i
\(346\) 14.3263 24.8139i 0.770188 1.33401i
\(347\) 10.9064 + 1.04143i 0.585485 + 0.0559070i 0.383595 0.923501i \(-0.374686\pi\)
0.201890 + 0.979408i \(0.435292\pi\)
\(348\) −2.95390 2.81654i −0.158346 0.150982i
\(349\) 5.08673 5.87039i 0.272286 0.314235i −0.603094 0.797670i \(-0.706066\pi\)
0.875380 + 0.483435i \(0.160611\pi\)
\(350\) 16.6711 0.992425i 0.891107 0.0530474i
\(351\) 2.04534 + 2.36045i 0.109172 + 0.125991i
\(352\) −11.1659 + 8.78096i −0.595144 + 0.468027i
\(353\) −3.05442 + 2.91238i −0.162570 + 0.155010i −0.766998 0.641650i \(-0.778250\pi\)
0.604428 + 0.796660i \(0.293402\pi\)
\(354\) −0.248929 5.22565i −0.0132304 0.277740i
\(355\) −0.166386 + 0.0666107i −0.00883083 + 0.00353533i
\(356\) 1.66563 3.64723i 0.0882784 0.193303i
\(357\) −13.9366 + 12.3685i −0.737601 + 0.654610i
\(358\) −4.05573 + 28.2082i −0.214352 + 1.49085i
\(359\) 24.5003 + 12.6308i 1.29308 + 0.666627i 0.960980 0.276619i \(-0.0892138\pi\)
0.332096 + 0.943246i \(0.392244\pi\)
\(360\) −0.165312 + 0.157625i −0.00871273 + 0.00830757i
\(361\) −17.2798 6.91777i −0.909461 0.364093i
\(362\) −0.550307 + 1.59001i −0.0289235 + 0.0835690i
\(363\) 24.5680 + 15.7889i 1.28948 + 0.828701i
\(364\) 2.73282 + 1.89759i 0.143239 + 0.0994609i
\(365\) −0.124078 + 0.0364325i −0.00649452 + 0.00190696i
\(366\) −4.06594 + 5.70981i −0.212530 + 0.298457i
\(367\) −17.3628 + 30.0733i −0.906333 + 1.56982i −0.0872155 + 0.996189i \(0.527797\pi\)
−0.819118 + 0.573626i \(0.805536\pi\)
\(368\) −11.2668 9.19740i −0.587322 0.479447i
\(369\) 4.07343 + 7.05538i 0.212054 + 0.367289i
\(370\) −0.0139099 0.0304585i −0.000723144 0.00158346i
\(371\) 1.50457 + 3.63277i 0.0781135 + 0.188604i
\(372\) 1.42453 1.64399i 0.0738584 0.0852371i
\(373\) 1.00262 21.0476i 0.0519136 1.08980i −0.811193 0.584779i \(-0.801181\pi\)
0.863106 0.505022i \(-0.168516\pi\)
\(374\) −55.4198 + 10.6813i −2.86569 + 0.552316i
\(375\) −0.697930 0.279409i −0.0360409 0.0144286i
\(376\) 3.30586 + 13.6270i 0.170487 + 0.702757i
\(377\) −26.6360 + 17.1179i −1.37182 + 0.881617i
\(378\) −1.77436 + 2.83431i −0.0912633 + 0.145781i
\(379\) 1.35865 2.97502i 0.0697889 0.152816i −0.871523 0.490355i \(-0.836867\pi\)
0.941312 + 0.337539i \(0.109594\pi\)
\(380\) −0.0187537 + 0.00179076i −0.000962046 + 9.18643e-5i
\(381\) −6.40666 5.03826i −0.328223 0.258118i
\(382\) −0.462537 9.70985i −0.0236655 0.496799i
\(383\) 4.80424 + 19.8034i 0.245485 + 1.01190i 0.952460 + 0.304665i \(0.0985446\pi\)
−0.706974 + 0.707239i \(0.749940\pi\)
\(384\) −0.962596 6.69500i −0.0491223 0.341653i
\(385\) 1.22976 + 0.282937i 0.0626744 + 0.0144198i
\(386\) −0.733855 0.471620i −0.0373522 0.0240048i
\(387\) 4.96062 + 0.956081i 0.252162 + 0.0486003i
\(388\) −0.824885 + 3.40022i −0.0418772 + 0.172620i
\(389\) 4.29141 + 0.409780i 0.217583 + 0.0207767i 0.203278 0.979121i \(-0.434840\pi\)
0.0143048 + 0.999898i \(0.495446\pi\)
\(390\) 0.148467 + 0.257152i 0.00751789 + 0.0130214i
\(391\) 13.4690 + 30.9743i 0.681157 + 1.56644i
\(392\) −6.47388 + 20.2464i −0.326980 + 1.02260i
\(393\) 8.26859 + 18.1057i 0.417095 + 0.913311i
\(394\) 14.4481 + 13.7762i 0.727885 + 0.694037i
\(395\) 0.150049 + 0.433539i 0.00754981 + 0.0218137i
\(396\) 2.26907 1.16979i 0.114025 0.0587840i
\(397\) −2.77472 + 8.01702i −0.139259 + 0.402363i −0.992967 0.118389i \(-0.962227\pi\)
0.853708 + 0.520752i \(0.174348\pi\)
\(398\) 0.201848 + 1.40388i 0.0101177 + 0.0703703i
\(399\) −1.54879 + 0.556697i −0.0775367 + 0.0278697i
\(400\) 12.7418 8.18864i 0.637089 0.409432i
\(401\) 12.3139 4.92975i 0.614927 0.246180i −0.0432240 0.999065i \(-0.513763\pi\)
0.658151 + 0.752886i \(0.271339\pi\)
\(402\) 0.527589 + 0.740896i 0.0263138 + 0.0369525i
\(403\) −9.78853 13.7461i −0.487602 0.684741i
\(404\) 1.97134 0.789205i 0.0980778 0.0392644i
\(405\) 0.0632797 0.0406674i 0.00314439 0.00202078i
\(406\) −25.8801 21.8933i −1.28441 1.08655i
\(407\) 0.317824 + 2.21051i 0.0157539 + 0.109571i
\(408\) −6.99476 + 20.2100i −0.346292 + 1.00055i
\(409\) −20.2194 + 10.4238i −0.999785 + 0.515425i −0.878780 0.477227i \(-0.841642\pi\)
−0.121005 + 0.992652i \(0.538612\pi\)
\(410\) 0.253320 + 0.731921i 0.0125106 + 0.0361470i
\(411\) −1.60893 1.53411i −0.0793626 0.0756720i
\(412\) 0.596378 + 1.30589i 0.0293814 + 0.0643364i
\(413\) 1.17023 + 10.8889i 0.0575834 + 0.535807i
\(414\) 3.88521 + 4.65241i 0.190948 + 0.228653i
\(415\) 0.0807395 + 0.139845i 0.00396335 + 0.00686472i
\(416\) 6.96551 + 0.665125i 0.341512 + 0.0326105i
\(417\) −2.17192 + 8.95277i −0.106359 + 0.438419i
\(418\) −4.89495 0.943425i −0.239420 0.0461444i
\(419\) 23.6857 + 15.2219i 1.15712 + 0.743637i 0.971045 0.238898i \(-0.0767861\pi\)
0.186077 + 0.982535i \(0.440422\pi\)
\(420\) 0.0546022 0.0586422i 0.00266432 0.00286145i
\(421\) −0.117717 0.818737i −0.00573716 0.0399028i 0.986752 0.162237i \(-0.0518710\pi\)
−0.992489 + 0.122335i \(0.960962\pi\)
\(422\) −6.29067 25.9305i −0.306225 1.26228i
\(423\) −0.219720 4.61249i −0.0106832 0.224267i
\(424\) 3.54738 + 2.78969i 0.172276 + 0.135479i
\(425\) −35.0149 + 3.34352i −1.69847 + 0.162184i
\(426\) −1.25096 + 2.73923i −0.0606094 + 0.132716i
\(427\) 7.78616 12.4374i 0.376798 0.601887i
\(428\) 2.29981 1.47800i 0.111166 0.0714418i
\(429\) −4.66895 19.2457i −0.225419 0.929190i
\(430\) 0.445880 + 0.178503i 0.0215022 + 0.00860820i
\(431\) 4.53181 0.873435i 0.218290 0.0420719i −0.0789336 0.996880i \(-0.525152\pi\)
0.297223 + 0.954808i \(0.403939\pi\)
\(432\) −0.144300 + 3.02923i −0.00694264 + 0.145744i
\(433\) −12.4744 + 14.3962i −0.599479 + 0.691836i −0.971676 0.236318i \(-0.924059\pi\)
0.372197 + 0.928154i \(0.378605\pi\)
\(434\) 10.9990 14.3330i 0.527970 0.688006i
\(435\) 0.316771 + 0.693631i 0.0151880 + 0.0332571i
\(436\) 0.263329 + 0.456100i 0.0126112 + 0.0218432i
\(437\) 0.0876358 + 2.98199i 0.00419219 + 0.142648i
\(438\) −1.08640 + 1.88170i −0.0519101 + 0.0899109i
\(439\) −3.47215 + 4.87595i −0.165717 + 0.232716i −0.889081 0.457750i \(-0.848655\pi\)
0.723364 + 0.690467i \(0.242595\pi\)
\(440\) 1.38964 0.408036i 0.0662486 0.0194523i
\(441\) 3.35524 6.14348i 0.159773 0.292547i
\(442\) 23.3880 + 15.0306i 1.11245 + 0.714931i
\(443\) 6.06801 17.5324i 0.288300 0.832988i −0.704118 0.710083i \(-0.748658\pi\)
0.992418 0.122906i \(-0.0392213\pi\)
\(444\) 0.131648 + 0.0527038i 0.00624772 + 0.00250121i
\(445\) −0.542153 + 0.516942i −0.0257005 + 0.0245054i
\(446\) 27.1332 + 13.9881i 1.28479 + 0.662358i
\(447\) −1.84611 + 12.8400i −0.0873181 + 0.607311i
\(448\) 4.72853 + 23.0589i 0.223402 + 1.08943i
\(449\) −10.5517 + 23.1051i −0.497967 + 1.09040i 0.479158 + 0.877729i \(0.340942\pi\)
−0.977125 + 0.212667i \(0.931785\pi\)
\(450\) −5.86007 + 2.34602i −0.276246 + 0.110592i
\(451\) −2.45791 51.5979i −0.115739 2.42965i
\(452\) −5.04174 + 4.80729i −0.237144 + 0.226116i
\(453\) −8.09403 + 6.36522i −0.380291 + 0.299064i
\(454\) −20.3203 23.4508i −0.953677 1.10060i
\(455\) −0.342234 0.518891i −0.0160442 0.0243260i
\(456\) −1.23699 + 1.42757i −0.0579275 + 0.0668520i
\(457\) −2.97273 2.83449i −0.139058 0.132592i 0.617358 0.786682i \(-0.288203\pi\)
−0.756416 + 0.654091i \(0.773051\pi\)
\(458\) −24.7695 2.36520i −1.15740 0.110518i
\(459\) 3.52140 6.09925i 0.164365 0.284688i
\(460\) −0.0703174 0.127086i −0.00327857 0.00592540i
\(461\) 14.9978 0.698515 0.349258 0.937027i \(-0.386434\pi\)
0.349258 + 0.937027i \(0.386434\pi\)
\(462\) 18.2349 10.8183i 0.848366 0.503313i
\(463\) −7.28832 + 2.14004i −0.338717 + 0.0994562i −0.446668 0.894700i \(-0.647389\pi\)
0.107951 + 0.994156i \(0.465571\pi\)
\(464\) −30.1877 5.81820i −1.40143 0.270103i
\(465\) −0.361234 + 0.186229i −0.0167518 + 0.00863618i
\(466\) −11.1313 + 2.14539i −0.515648 + 0.0993831i
\(467\) −5.65550 + 4.44753i −0.261705 + 0.205807i −0.740386 0.672182i \(-0.765357\pi\)
0.478681 + 0.877989i \(0.341115\pi\)
\(468\) −1.20656 0.354279i −0.0557734 0.0163766i
\(469\) −1.19465 1.48259i −0.0551638 0.0684597i
\(470\) 0.0624770 0.434537i 0.00288185 0.0200437i
\(471\) 16.3474 1.56099i 0.753247 0.0719264i
\(472\) 7.29101 + 10.2388i 0.335596 + 0.471279i
\(473\) −25.1792 19.8012i −1.15774 0.910458i
\(474\) 6.85149 + 3.53219i 0.314699 + 0.162239i
\(475\) −2.98092 0.875276i −0.136774 0.0401604i
\(476\) 2.02809 7.22283i 0.0929572 0.331058i
\(477\) −0.973230 1.12317i −0.0445611 0.0514263i
\(478\) −0.529623 + 11.1182i −0.0242244 + 0.508533i
\(479\) 9.49817 + 27.4432i 0.433983 + 1.25391i 0.924065 + 0.382234i \(0.124845\pi\)
−0.490083 + 0.871676i \(0.663033\pi\)
\(480\) 0.0397295 0.163767i 0.00181339 0.00747491i
\(481\) 0.638100 0.896086i 0.0290948 0.0408580i
\(482\) −2.73622 −0.124631
\(483\) −8.69754 9.23866i −0.395752 0.420374i
\(484\) −11.7580 −0.534455
\(485\) 0.379176 0.532479i 0.0172175 0.0241786i
\(486\) 0.297970 1.22825i 0.0135162 0.0557145i
\(487\) −8.06509 23.3025i −0.365464 1.05594i −0.966489 0.256708i \(-0.917362\pi\)
0.601025 0.799230i \(-0.294759\pi\)
\(488\) 0.801339 16.8222i 0.0362749 0.761505i
\(489\) −15.1383 17.4706i −0.684579 0.790046i
\(490\) 0.423751 0.513136i 0.0191431 0.0231811i
\(491\) −6.68290 1.96228i −0.301595 0.0885563i 0.127434 0.991847i \(-0.459326\pi\)
−0.429029 + 0.903291i \(0.641144\pi\)
\(492\) −2.91543 1.50301i −0.131438 0.0677609i
\(493\) 56.1207 + 44.1338i 2.52755 + 1.98769i
\(494\) 1.42437 + 2.00024i 0.0640852 + 0.0899951i
\(495\) −0.474789 + 0.0453369i −0.0213402 + 0.00203774i
\(496\) 2.33187 16.2185i 0.104704 0.728234i
\(497\) 2.27334 5.87969i 0.101973 0.263740i
\(498\) 2.60330 + 0.764399i 0.116657 + 0.0342535i
\(499\) −4.02580 + 3.16593i −0.180220 + 0.141726i −0.704194 0.710008i \(-0.748691\pi\)
0.523974 + 0.851734i \(0.324449\pi\)
\(500\) 0.297210 0.0572825i 0.0132916 0.00256175i
\(501\) −9.82679 + 5.06606i −0.439029 + 0.226335i
\(502\) −25.5247 4.91947i −1.13922 0.219567i
\(503\) −34.1420 + 10.0250i −1.52232 + 0.446993i −0.932689 0.360681i \(-0.882544\pi\)
−0.589629 + 0.807674i \(0.700726\pi\)
\(504\) −0.0952800 8.03355i −0.00424411 0.357843i
\(505\) −0.396722 −0.0176539
\(506\) −8.37892 37.5084i −0.372489 1.66745i
\(507\) 1.62243 2.81014i 0.0720548 0.124803i
\(508\) 3.26664 + 0.311926i 0.144934 + 0.0138395i
\(509\) 25.9248 + 24.7192i 1.14910 + 1.09566i 0.994180 + 0.107733i \(0.0343591\pi\)
0.154916 + 0.987928i \(0.450489\pi\)
\(510\) 0.438466 0.506017i 0.0194156 0.0224068i
\(511\) 2.03613 4.06725i 0.0900730 0.179925i
\(512\) 16.5104 + 19.0541i 0.729666 + 0.842079i
\(513\) 0.488969 0.384530i 0.0215885 0.0169774i
\(514\) −15.8031 + 15.0682i −0.697044 + 0.664630i
\(515\) −0.0127622 0.267912i −0.000562371 0.0118056i
\(516\) −1.88829 + 0.755956i −0.0831272 + 0.0332791i
\(517\) −12.1631 + 26.6335i −0.534933 + 1.17134i
\(518\) 1.11747 + 0.371979i 0.0490988 + 0.0163438i
\(519\) 3.22634 22.4397i 0.141621 0.984994i
\(520\) −0.634110 0.326906i −0.0278075 0.0143358i
\(521\) −0.227795 + 0.217202i −0.00997986 + 0.00951578i −0.695053 0.718959i \(-0.744619\pi\)
0.685073 + 0.728475i \(0.259770\pi\)
\(522\) 11.8946 + 4.76188i 0.520613 + 0.208422i
\(523\) −9.29308 + 26.8506i −0.406358 + 1.17409i 0.537363 + 0.843351i \(0.319420\pi\)
−0.943721 + 0.330743i \(0.892701\pi\)
\(524\) −6.74167 4.33261i −0.294511 0.189271i
\(525\) 11.9537 5.63137i 0.521704 0.245773i
\(526\) 17.3537 5.09552i 0.756659 0.222175i
\(527\) −22.0722 + 30.9961i −0.961482 + 1.35021i
\(528\) 9.61456 16.6529i 0.418420 0.724724i
\(529\) −20.8136 + 9.78743i −0.904939 + 0.425540i
\(530\) −0.0706445 0.122360i −0.00306860 0.00531497i
\(531\) −1.71953 3.76525i −0.0746213 0.163398i
\(532\) 0.403404 0.525683i 0.0174898 0.0227912i
\(533\) −16.6631 + 19.2302i −0.721758 + 0.832954i
\(534\) −0.598897 + 12.5724i −0.0259168 + 0.544061i
\(535\) −0.501523 + 0.0966606i −0.0216827 + 0.00417900i
\(536\) −2.02876 0.812192i −0.0876289 0.0350813i
\(537\) 5.31597 + 21.9127i 0.229401 + 0.945603i
\(538\) 11.4830 7.37966i 0.495066 0.318160i
\(539\) −36.7591 + 24.8750i −1.58333 + 1.07144i
\(540\) −0.0125809 + 0.0275483i −0.000541395 + 0.00118549i
\(541\) 21.2042 2.02475i 0.911639 0.0870509i 0.371314 0.928507i \(-0.378907\pi\)
0.540325 + 0.841457i \(0.318301\pi\)
\(542\) −17.9036 14.0795i −0.769025 0.604768i
\(543\) 0.0633439 + 1.32975i 0.00271835 + 0.0570651i
\(544\) −3.71981 15.3333i −0.159486 0.657409i
\(545\) −0.0140031 0.0973939i −0.000599828 0.00417190i
\(546\) −10.1782 2.34174i −0.435585 0.100217i
\(547\) −22.4999 14.4598i −0.962026 0.618257i −0.0374680 0.999298i \(-0.511929\pi\)
−0.924558 + 0.381041i \(0.875566\pi\)
\(548\) 0.878879 + 0.169390i 0.0375439 + 0.00723599i
\(549\) −1.30754 + 5.38974i −0.0558043 + 0.230028i
\(550\) 39.8425 + 3.80450i 1.69889 + 0.162224i
\(551\) 3.15301 + 5.46117i 0.134323 + 0.232654i
\(552\) −13.8961 4.35679i −0.591457 0.185437i
\(553\) −14.7567 6.52878i −0.627519 0.277632i
\(554\) 14.9610 + 32.7600i 0.635632 + 1.39184i
\(555\) −0.0191742 0.0182826i −0.000813900 0.000776052i
\(556\) −1.21312 3.50509i −0.0514479 0.148649i
\(557\) 11.6319 5.99668i 0.492861 0.254088i −0.193832 0.981035i \(-0.562092\pi\)
0.686693 + 0.726947i \(0.259061\pi\)
\(558\) −2.23343 + 6.45308i −0.0945488 + 0.273181i
\(559\) 2.24555 + 15.6181i 0.0949766 + 0.660577i
\(560\) 0.107186 0.593953i 0.00452942 0.0250991i
\(561\) −37.5670 + 24.1429i −1.58608 + 1.01931i
\(562\) −14.2787 + 5.71635i −0.602312 + 0.241130i
\(563\) 20.3067 + 28.5168i 0.855827 + 1.20184i 0.977849 + 0.209313i \(0.0671229\pi\)
−0.122022 + 0.992527i \(0.538938\pi\)
\(564\) 1.07843 + 1.51444i 0.0454099 + 0.0637693i
\(565\) 1.20828 0.483722i 0.0508327 0.0203503i
\(566\) 28.9257 18.5894i 1.21584 0.781373i
\(567\) −0.469866 + 2.60369i −0.0197325 + 0.109345i
\(568\) −1.02967 7.16150i −0.0432039 0.300490i
\(569\) −0.600646 + 1.73545i −0.0251804 + 0.0727539i −0.956891 0.290449i \(-0.906195\pi\)
0.931710 + 0.363203i \(0.118317\pi\)
\(570\) 0.0525645 0.0270989i 0.00220169 0.00113505i
\(571\) −9.80153 28.3197i −0.410181 1.18514i −0.941220 0.337794i \(-0.890319\pi\)
0.531039 0.847347i \(-0.321802\pi\)
\(572\) 5.77061 + 5.50227i 0.241281 + 0.230061i
\(573\) −3.19508 6.99626i −0.133477 0.292273i
\(574\) −24.9129 11.0222i −1.03985 0.460057i
\(575\) −2.97622 23.7664i −0.124117 0.991127i
\(576\) −4.44840 7.70486i −0.185350 0.321036i
\(577\) −32.6907 3.12158i −1.36093 0.129953i −0.611084 0.791566i \(-0.709266\pi\)
−0.749846 + 0.661613i \(0.769872\pi\)
\(578\) 9.71415 40.0423i 0.404055 1.66554i
\(579\) −0.677733 0.130622i −0.0281656 0.00542848i
\(580\) −0.258274 0.165983i −0.0107243 0.00689206i
\(581\) −5.53512 1.27349i −0.229635 0.0528334i
\(582\) −1.56311 10.8716i −0.0647928 0.450644i
\(583\) 2.22162 + 9.15763i 0.0920100 + 0.379270i
\(584\) −0.248396 5.21448i −0.0102787 0.215777i
\(585\) 0.184674 + 0.145229i 0.00763533 + 0.00600449i
\(586\) 19.3990 1.85238i 0.801365 0.0765211i
\(587\) 14.0606 30.7883i 0.580341 1.27077i −0.360764 0.932657i \(-0.617484\pi\)
0.941105 0.338113i \(-0.109789\pi\)
\(588\) 0.200830 + 2.81115i 0.00828209 + 0.115930i
\(589\) −2.82740 + 1.81706i −0.116501 + 0.0748706i
\(590\) −0.0927766 0.382430i −0.00381955 0.0157444i
\(591\) 14.6638 + 5.87051i 0.603189 + 0.241481i
\(592\) 1.04883 0.202146i 0.0431067 0.00830814i
\(593\) 1.36368 28.6271i 0.0559996 1.17558i −0.779615 0.626259i \(-0.784585\pi\)
0.835614 0.549317i \(-0.185112\pi\)
\(594\) −5.24793 + 6.05643i −0.215325 + 0.248499i
\(595\) −0.853300 + 1.11195i −0.0349819 + 0.0455855i
\(596\) −2.16961 4.75079i −0.0888707 0.194600i
\(597\) 0.561099 + 0.971852i 0.0229643 + 0.0397753i
\(598\) −9.76288 + 16.2200i −0.399234 + 0.663284i
\(599\) 3.07912 5.33319i 0.125809 0.217908i −0.796240 0.604981i \(-0.793181\pi\)
0.922049 + 0.387073i \(0.126514\pi\)
\(600\) 8.79707 12.3538i 0.359139 0.504340i
\(601\) 34.8062 10.2200i 1.41977 0.416883i 0.520347 0.853955i \(-0.325803\pi\)
0.899426 + 0.437072i \(0.143985\pi\)
\(602\) −15.2822 + 7.19939i −0.622856 + 0.293425i
\(603\) 0.605407 + 0.389072i 0.0246541 + 0.0158442i
\(604\) 1.35595 3.91775i 0.0551727 0.159411i
\(605\) 2.03939 + 0.816447i 0.0829129 + 0.0331933i
\(606\) −4.82428 + 4.59995i −0.195973 + 0.186860i
\(607\) 15.9529 + 8.22430i 0.647509 + 0.333814i 0.750502 0.660868i \(-0.229812\pi\)
−0.102993 + 0.994682i \(0.532842\pi\)
\(608\) 0.198329 1.37941i 0.00804332 0.0559425i
\(609\) −25.4481 8.47107i −1.03121 0.343265i
\(610\) −0.219033 + 0.479615i −0.00886839 + 0.0194191i
\(611\) 13.3895 5.36035i 0.541681 0.216857i
\(612\) 0.134921 + 2.83234i 0.00545385 + 0.114490i
\(613\) 6.81314 6.49631i 0.275180 0.262384i −0.539904 0.841727i \(-0.681539\pi\)
0.815084 + 0.579343i \(0.196691\pi\)
\(614\) 15.4437 12.1450i 0.623256 0.490134i
\(615\) 0.401307 + 0.463132i 0.0161822 + 0.0186753i
\(616\) −22.8042 + 45.5524i −0.918806 + 1.83536i
\(617\) −2.01423 + 2.32455i −0.0810900 + 0.0935829i −0.794845 0.606813i \(-0.792448\pi\)
0.713755 + 0.700396i \(0.246993\pi\)
\(618\) −3.26160 3.10993i −0.131201 0.125100i
\(619\) 35.8126 + 3.41969i 1.43943 + 0.137449i 0.785386 0.619007i \(-0.212465\pi\)
0.654045 + 0.756456i \(0.273071\pi\)
\(620\) 0.0818144 0.141707i 0.00328574 0.00569108i
\(621\) 4.22196 + 2.27487i 0.169421 + 0.0912876i
\(622\) 12.2145 0.489759
\(623\) −0.312477 26.3466i −0.0125191 1.05555i
\(624\) −9.08831 + 2.66857i −0.363823 + 0.106828i
\(625\) 24.4649 + 4.71522i 0.978596 + 0.188609i
\(626\) 6.90597 3.56027i 0.276018 0.142297i
\(627\) −3.87297 + 0.746454i −0.154672 + 0.0298105i
\(628\) −5.19712 + 4.08706i −0.207388 + 0.163091i
\(629\) −2.38006 0.698850i −0.0948994 0.0278650i
\(630\) −0.0907086 + 0.234605i −0.00361392 + 0.00934690i
\(631\) −0.102076 + 0.709957i −0.00406360 + 0.0282629i −0.991752 0.128169i \(-0.959090\pi\)
0.987689 + 0.156432i \(0.0499991\pi\)
\(632\) −18.4364 + 1.76047i −0.733362 + 0.0700276i
\(633\) −12.2460 17.1971i −0.486735 0.683524i
\(634\) 0.609772 + 0.479530i 0.0242171 + 0.0190446i
\(635\) −0.544927 0.280930i −0.0216248 0.0111484i
\(636\) 0.574117 + 0.168576i 0.0227652 + 0.00668447i
\(637\) 21.5602 + 3.62732i 0.854248 + 0.143720i
\(638\) −53.2002 61.3963i −2.10622 2.43070i
\(639\) −0.113371 + 2.37994i −0.00448487 + 0.0941490i
\(640\) −0.166406 0.480799i −0.00657778 0.0190052i
\(641\) 7.21239 29.7299i 0.284872 1.17426i −0.631964 0.774998i \(-0.717751\pi\)
0.916837 0.399263i \(-0.130734\pi\)
\(642\) −4.97793 + 6.99052i −0.196463 + 0.275894i
\(643\) 2.11469 0.0833953 0.0416976 0.999130i \(-0.486723\pi\)
0.0416976 + 0.999130i \(0.486723\pi\)
\(644\) 4.95687 + 1.23596i 0.195328 + 0.0487036i
\(645\) 0.380008 0.0149628
\(646\) 3.21181 4.51036i 0.126367 0.177458i
\(647\) 2.17726 8.97479i 0.0855969 0.352835i −0.912866 0.408259i \(-0.866136\pi\)
0.998463 + 0.0554241i \(0.0176511\pi\)
\(648\) 0.993178 + 2.86960i 0.0390157 + 0.112729i
\(649\) −1.24883 + 26.2162i −0.0490210 + 1.02908i
\(650\) −12.9107 14.8997i −0.506398 0.584414i
\(651\) 3.86438 13.7626i 0.151457 0.539399i
\(652\) 8.93023 + 2.62215i 0.349735 + 0.102691i
\(653\) 39.5246 + 20.3763i 1.54672 + 0.797388i 0.999223 0.0394219i \(-0.0125516\pi\)
0.547494 + 0.836810i \(0.315582\pi\)
\(654\) −1.29955 1.02198i −0.0508165 0.0399626i
\(655\) 0.868474 + 1.21960i 0.0339341 + 0.0476538i
\(656\) −24.5948 + 2.34852i −0.960266 + 0.0916943i
\(657\) −0.244661 + 1.70165i −0.00954513 + 0.0663878i
\(658\) 9.68840 + 12.0236i 0.377693 + 0.468727i
\(659\) 20.5200 + 6.02521i 0.799345 + 0.234709i 0.655800 0.754935i \(-0.272332\pi\)
0.143545 + 0.989644i \(0.454150\pi\)
\(660\) 0.150944 0.118704i 0.00587548 0.00462053i
\(661\) −14.2036 + 2.73752i −0.552456 + 0.106477i −0.457837 0.889036i \(-0.651375\pi\)
−0.0946193 + 0.995514i \(0.530163\pi\)
\(662\) −1.67966 + 0.865927i −0.0652820 + 0.0336552i
\(663\) 21.5994 + 4.16295i 0.838852 + 0.161675i
\(664\) −6.25474 + 1.83656i −0.242731 + 0.0712723i
\(665\) −0.106471 + 0.0631665i −0.00412877 + 0.00244949i
\(666\) −0.445149 −0.0172492
\(667\) −28.9175 + 39.0820i −1.11969 + 1.51326i
\(668\) 2.22563 3.85490i 0.0861121 0.149150i
\(669\) 24.0439 + 2.29591i 0.929589 + 0.0887650i
\(670\) 0.0495156 + 0.0472130i 0.00191295 + 0.00182400i
\(671\) 23.0287 26.5765i 0.889012 1.02597i
\(672\) 3.26345 + 4.94800i 0.125890 + 0.190873i
\(673\) 28.9122 + 33.3665i 1.11448 + 1.28618i 0.954219 + 0.299109i \(0.0966894\pi\)
0.160265 + 0.987074i \(0.448765\pi\)
\(674\) 5.18840 4.08020i 0.199850 0.157164i
\(675\) −3.61458 + 3.44649i −0.139125 + 0.132655i
\(676\) 0.0621628 + 1.30496i 0.00239088 + 0.0501907i
\(677\) 41.0233 16.4233i 1.57665 0.631197i 0.592036 0.805912i \(-0.298324\pi\)
0.984619 + 0.174714i \(0.0559002\pi\)
\(678\) 9.08440 19.8921i 0.348884 0.763950i
\(679\) 4.61876 + 22.5236i 0.177252 + 0.864377i
\(680\) −0.228940 + 1.59231i −0.00877946 + 0.0610625i
\(681\) −21.8221 11.2501i −0.836226 0.431105i
\(682\) 31.3364 29.8792i 1.19993 1.14413i
\(683\) 26.7206 + 10.6973i 1.02243 + 0.409321i 0.821454 0.570274i \(-0.193163\pi\)
0.200980 + 0.979595i \(0.435587\pi\)
\(684\) −0.0819142 + 0.236676i −0.00313207 + 0.00904952i
\(685\) −0.140677 0.0904073i −0.00537498 0.00345429i
\(686\) 3.05246 + 23.2074i 0.116544 + 0.886064i
\(687\) −18.8897 + 5.54652i −0.720687 + 0.211613i
\(688\) −8.88692 + 12.4799i −0.338811 + 0.475793i
\(689\) 2.32088 4.01989i 0.0884186 0.153145i
\(690\) 0.353197 + 0.288325i 0.0134460 + 0.0109763i
\(691\) −19.3488 33.5131i −0.736063 1.27490i −0.954255 0.298993i \(-0.903349\pi\)
0.218192 0.975906i \(-0.429984\pi\)
\(692\) 3.79170 + 8.30267i 0.144139 + 0.315620i
\(693\) 10.2130 13.3087i 0.387960 0.505557i
\(694\) 9.06786 10.4649i 0.344211 0.397241i
\(695\) −0.0329727 + 0.692182i −0.00125073 + 0.0262560i
\(696\) −30.2270 + 5.82577i −1.14575 + 0.220825i
\(697\) 53.2667 + 21.3248i 2.01762 + 0.807733i
\(698\) −2.31453 9.54061i −0.0876061 0.361117i
\(699\) −7.54552 + 4.84921i −0.285398 + 0.183414i
\(700\) −2.82298 + 4.50934i −0.106699 + 0.170437i
\(701\) 14.2636 31.2330i 0.538730 1.17965i −0.423120 0.906074i \(-0.639065\pi\)
0.961849 0.273579i \(-0.0882077\pi\)
\(702\) 3.92962 0.375233i 0.148314 0.0141623i
\(703\) −0.172220 0.135435i −0.00649539 0.00510803i
\(704\) 2.68417 + 56.3477i 0.101164 + 2.12368i
\(705\) −0.0818905 0.337557i −0.00308417 0.0127131i
\(706\) 0.759109 + 5.27972i 0.0285694 + 0.198705i
\(707\) 9.50891 10.2125i 0.357619 0.384079i
\(708\) 1.40200 + 0.901008i 0.0526902 + 0.0338620i
\(709\) −0.656614 0.126552i −0.0246596 0.00475276i 0.176907 0.984228i \(-0.443391\pi\)
−0.201566 + 0.979475i \(0.564603\pi\)
\(710\) −0.0534033 + 0.220132i −0.00200419 + 0.00826139i
\(711\) 6.07139 + 0.579747i 0.227695 + 0.0217422i
\(712\) −15.1205 26.1894i −0.566663 0.981489i
\(713\) −21.5394 14.4037i −0.806656 0.539422i
\(714\) 2.51648 + 23.4156i 0.0941771 + 0.876307i
\(715\) −0.618829 1.35505i −0.0231429 0.0506759i
\(716\) −6.57029 6.26476i −0.245543 0.234125i
\(717\) 2.88044 + 8.32247i 0.107572 + 0.310809i
\(718\) 30.9653 15.9637i 1.15562 0.595762i
\(719\) 2.06862 5.97688i 0.0771464 0.222900i −0.899833 0.436235i \(-0.856312\pi\)
0.976979 + 0.213335i \(0.0684327\pi\)
\(720\) 0.0324648 + 0.225797i 0.00120989 + 0.00841497i
\(721\) 7.20252 + 6.09298i 0.268236 + 0.226914i
\(722\) −19.7901 + 12.7184i −0.736513 + 0.473328i
\(723\) −2.00986 + 0.804628i −0.0747477 + 0.0299244i
\(724\) −0.310903 0.436602i −0.0115546 0.0162262i
\(725\) −29.3680 41.2416i −1.09070 1.53167i
\(726\) 34.2663 13.7181i 1.27174 0.509128i
\(727\) −26.0690 + 16.7535i −0.966846 + 0.621354i −0.925885 0.377806i \(-0.876678\pi\)
−0.0409616 + 0.999161i \(0.513042\pi\)
\(728\) 23.6140 8.48780i 0.875194 0.314579i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −0.0534557 + 0.154450i −0.00197848 + 0.00571646i
\(731\) 31.6244 16.3035i 1.16967 0.603008i
\(732\) −0.730324 2.11013i −0.0269935 0.0779927i
\(733\) 15.4532 + 14.7346i 0.570778 + 0.544235i 0.919550 0.392972i \(-0.128553\pi\)
−0.348773 + 0.937207i \(0.613402\pi\)
\(734\) 18.2321 + 39.9228i 0.672961 + 1.47358i
\(735\) 0.160366 0.501530i 0.00591520 0.0184992i
\(736\) 10.3624 2.83865i 0.381961 0.104634i
\(737\) −2.28153 3.95172i −0.0840411 0.145563i
\(738\) 10.2500 + 0.978756i 0.377307 + 0.0360285i
\(739\) −0.650829 + 2.68275i −0.0239411 + 0.0986867i −0.982529 0.186111i \(-0.940411\pi\)
0.958588 + 0.284798i \(0.0919266\pi\)
\(740\) 0.0104739 + 0.00201869i 0.000385030 + 7.42084e-5i
\(741\) 1.63446 + 1.05040i 0.0600432 + 0.0385874i
\(742\) 4.84306 + 1.11427i 0.177794 + 0.0409060i
\(743\) −3.13959 21.8364i −0.115181 0.801098i −0.962746 0.270407i \(-0.912842\pi\)
0.847565 0.530691i \(-0.178067\pi\)
\(744\) −3.86801 15.9442i −0.141808 0.584541i
\(745\) 0.0464288 + 0.974660i 0.00170102 + 0.0357088i
\(746\) −20.9339 16.4626i −0.766445 0.602739i
\(747\) 2.13702 0.204060i 0.0781893 0.00746617i
\(748\) 7.46886 16.3545i 0.273088 0.597980i
\(749\) 9.53259 15.2271i 0.348313 0.556385i
\(750\) −0.799324 + 0.513695i −0.0291872 + 0.0187575i
\(751\) −3.81050 15.7071i −0.139047 0.573160i −0.998119 0.0613053i \(-0.980474\pi\)
0.859072 0.511855i \(-0.171041\pi\)
\(752\) 13.0009 + 5.20477i 0.474093 + 0.189798i
\(753\) −20.1955 + 3.89237i −0.735966 + 0.141846i
\(754\) −1.90409 + 39.9719i −0.0693430 + 1.45569i
\(755\) −0.507223 + 0.585367i −0.0184597 + 0.0213037i
\(756\) −0.407604 0.984155i −0.0148244 0.0357934i
\(757\) −16.7033 36.5751i −0.607092 1.32935i −0.924546 0.381072i \(-0.875555\pi\)
0.317454 0.948274i \(-0.397172\pi\)
\(758\) −2.06680 3.57980i −0.0750696 0.130024i
\(759\) −17.1846 25.0875i −0.623761 0.910618i
\(760\) −0.0710438 + 0.123051i −0.00257703 + 0.00446354i
\(761\) −31.4944 + 44.2277i −1.14167 + 1.60325i −0.426166 + 0.904645i \(0.640136\pi\)
−0.715505 + 0.698607i \(0.753803\pi\)
\(762\) −9.88385 + 2.90216i −0.358054 + 0.105134i
\(763\) 2.84276 + 1.97393i 0.102915 + 0.0714611i
\(764\) 2.60507 + 1.67417i 0.0942480 + 0.0605695i
\(765\) 0.173269 0.500628i 0.00626455 0.0181002i
\(766\) 23.9101 + 9.57216i 0.863907 + 0.345856i
\(767\) 9.35672 8.92162i 0.337852 0.322141i
\(768\) 8.21723 + 4.23628i 0.296514 + 0.152863i
\(769\) 0.789409 5.49046i 0.0284668 0.197991i −0.970625 0.240597i \(-0.922657\pi\)
0.999092 + 0.0426058i \(0.0135659\pi\)
\(770\) 1.19285 1.05864i 0.0429874 0.0381507i
\(771\) −7.17696 + 15.7153i −0.258472 + 0.565974i
\(772\) 0.257983 0.103281i