Properties

Label 43.2.g.a.38.1
Level $43$
Weight $2$
Character 43.38
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 38.1
Character \(\chi\) \(=\) 43.38
Dual form 43.2.g.a.17.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.515822 + 2.25996i) q^{2} +(1.28860 + 0.397480i) q^{3} +(-3.03942 - 1.46371i) q^{4} +(-1.48781 - 3.79089i) q^{5} +(-1.56298 + 2.70715i) q^{6} +(1.38920 + 2.40617i) q^{7} +(1.98513 - 2.48927i) q^{8} +(-0.976224 - 0.665578i) q^{9} +O(q^{10})\) \(q+(-0.515822 + 2.25996i) q^{2} +(1.28860 + 0.397480i) q^{3} +(-3.03942 - 1.46371i) q^{4} +(-1.48781 - 3.79089i) q^{5} +(-1.56298 + 2.70715i) q^{6} +(1.38920 + 2.40617i) q^{7} +(1.98513 - 2.48927i) q^{8} +(-0.976224 - 0.665578i) q^{9} +(9.33472 - 1.40698i) q^{10} +(-0.678323 + 0.326663i) q^{11} +(-3.33480 - 3.09424i) q^{12} +(1.70167 + 0.256486i) q^{13} +(-6.15444 + 1.89839i) q^{14} +(-0.410392 - 5.47630i) q^{15} +(0.394993 + 0.495306i) q^{16} +(-1.18750 + 3.02571i) q^{17} +(2.00774 - 1.86291i) q^{18} +(-0.0395049 + 0.0269340i) q^{19} +(-1.02666 + 13.6998i) q^{20} +(0.833720 + 3.65277i) q^{21} +(-0.388353 - 1.70148i) q^{22} +(0.152371 - 2.03326i) q^{23} +(3.54746 - 2.41862i) q^{24} +(-8.49199 + 7.87942i) q^{25} +(-1.45741 + 3.71341i) q^{26} +(-3.51575 - 4.40861i) q^{27} +(-0.700443 - 9.34676i) q^{28} +(0.714324 - 0.220340i) q^{29} +(12.5879 + 1.89733i) q^{30} +(2.52247 + 2.34051i) q^{31} +(4.41406 - 2.12570i) q^{32} +(-1.00393 + 0.151318i) q^{33} +(-6.22544 - 4.24444i) q^{34} +(7.05465 - 8.84626i) q^{35} +(1.99294 + 3.45188i) q^{36} +(3.91502 - 6.78101i) q^{37} +(-0.0404923 - 0.103173i) q^{38} +(2.09082 + 1.00689i) q^{39} +(-12.3900 - 3.82182i) q^{40} +(-1.86928 + 8.18985i) q^{41} -8.68517 q^{42} +(-4.39142 + 4.86985i) q^{43} +2.53985 q^{44} +(-1.07069 + 4.69101i) q^{45} +(4.51649 + 1.39315i) q^{46} +(7.05780 + 3.39886i) q^{47} +(0.312113 + 0.795251i) q^{48} +(-0.359777 + 0.623151i) q^{49} +(-13.4268 - 23.2560i) q^{50} +(-2.73287 + 3.42691i) q^{51} +(-4.79668 - 3.27032i) q^{52} +(-1.76849 + 0.266557i) q^{53} +(11.7768 - 5.67140i) q^{54} +(2.24756 + 2.08543i) q^{55} +(8.74735 + 1.31845i) q^{56} +(-0.0616116 + 0.0190047i) q^{57} +(0.129496 + 1.72800i) q^{58} +(3.60798 + 4.52427i) q^{59} +(-6.76836 + 17.2455i) q^{60} +(2.15836 - 2.00266i) q^{61} +(-6.59062 + 4.49341i) q^{62} +(0.245321 - 3.27359i) q^{63} +(2.80908 + 12.3074i) q^{64} +(-1.55946 - 6.83245i) q^{65} +(0.175875 - 2.34689i) q^{66} +(4.62708 - 3.15469i) q^{67} +(8.03807 - 7.45824i) q^{68} +(1.00452 - 2.55948i) q^{69} +(16.3533 + 20.5063i) q^{70} +(-0.543672 - 7.25480i) q^{71} +(-3.59473 + 1.10883i) q^{72} +(-10.0746 - 1.51850i) q^{73} +(13.3054 + 12.3456i) q^{74} +(-14.0747 + 6.77800i) q^{75} +(0.159495 - 0.0240401i) q^{76} +(-1.72834 - 1.17836i) q^{77} +(-3.35402 + 4.20580i) q^{78} +(-6.70519 - 11.6137i) q^{79} +(1.28997 - 2.23430i) q^{80} +(-1.48307 - 3.77880i) q^{81} +(-17.5445 - 8.44900i) q^{82} +(5.42706 + 1.67402i) q^{83} +(2.81256 - 12.3226i) q^{84} +13.2369 q^{85} +(-8.74049 - 12.4364i) q^{86} +1.00806 q^{87} +(-0.533404 + 2.33699i) q^{88} +(-11.7786 - 3.63323i) q^{89} +(-10.0492 - 4.83945i) q^{90} +(1.74682 + 4.45083i) q^{91} +(-3.43922 + 5.95690i) q^{92} +(2.32015 + 4.01861i) q^{93} +(-11.3219 + 14.1972i) q^{94} +(0.160880 + 0.109686i) q^{95} +(6.53287 - 0.984671i) q^{96} +(9.41101 - 4.53210i) q^{97} +(-1.22272 - 1.13452i) q^{98} +(0.879615 + 0.132581i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.515822 + 2.25996i −0.364741 + 1.59803i 0.376249 + 0.926519i \(0.377214\pi\)
−0.740990 + 0.671516i \(0.765643\pi\)
\(3\) 1.28860 + 0.397480i 0.743972 + 0.229485i 0.643491 0.765454i \(-0.277486\pi\)
0.100481 + 0.994939i \(0.467962\pi\)
\(4\) −3.03942 1.46371i −1.51971 0.731854i
\(5\) −1.48781 3.79089i −0.665371 1.69534i −0.717372 0.696690i \(-0.754655\pi\)
0.0520012 0.998647i \(-0.483440\pi\)
\(6\) −1.56298 + 2.70715i −0.638082 + 1.10519i
\(7\) 1.38920 + 2.40617i 0.525070 + 0.909448i 0.999574 + 0.0291942i \(0.00929413\pi\)
−0.474504 + 0.880253i \(0.657373\pi\)
\(8\) 1.98513 2.48927i 0.701848 0.880089i
\(9\) −0.976224 0.665578i −0.325408 0.221859i
\(10\) 9.33472 1.40698i 2.95190 0.444927i
\(11\) −0.678323 + 0.326663i −0.204522 + 0.0984926i −0.533341 0.845900i \(-0.679064\pi\)
0.328819 + 0.944393i \(0.393349\pi\)
\(12\) −3.33480 3.09424i −0.962673 0.893230i
\(13\) 1.70167 + 0.256486i 0.471959 + 0.0711364i 0.380715 0.924692i \(-0.375678\pi\)
0.0912435 + 0.995829i \(0.470916\pi\)
\(14\) −6.15444 + 1.89839i −1.64484 + 0.507367i
\(15\) −0.410392 5.47630i −0.105963 1.41398i
\(16\) 0.394993 + 0.495306i 0.0987483 + 0.123826i
\(17\) −1.18750 + 3.02571i −0.288012 + 0.733842i 0.711503 + 0.702683i \(0.248015\pi\)
−0.999514 + 0.0311584i \(0.990080\pi\)
\(18\) 2.00774 1.86291i 0.473229 0.439092i
\(19\) −0.0395049 + 0.0269340i −0.00906304 + 0.00617908i −0.567843 0.823137i \(-0.692222\pi\)
0.558780 + 0.829316i \(0.311270\pi\)
\(20\) −1.02666 + 13.6998i −0.229568 + 3.06338i
\(21\) 0.833720 + 3.65277i 0.181933 + 0.797099i
\(22\) −0.388353 1.70148i −0.0827971 0.362758i
\(23\) 0.152371 2.03326i 0.0317717 0.423963i −0.958526 0.285004i \(-0.908005\pi\)
0.990298 0.138960i \(-0.0443758\pi\)
\(24\) 3.54746 2.41862i 0.724122 0.493698i
\(25\) −8.49199 + 7.87942i −1.69840 + 1.57588i
\(26\) −1.45741 + 3.71341i −0.285821 + 0.728260i
\(27\) −3.51575 4.40861i −0.676606 0.848437i
\(28\) −0.700443 9.34676i −0.132371 1.76637i
\(29\) 0.714324 0.220340i 0.132647 0.0409161i −0.227721 0.973726i \(-0.573127\pi\)
0.360368 + 0.932810i \(0.382651\pi\)
\(30\) 12.5879 + 1.89733i 2.29823 + 0.346403i
\(31\) 2.52247 + 2.34051i 0.453050 + 0.420369i 0.873408 0.486990i \(-0.161905\pi\)
−0.420358 + 0.907358i \(0.638096\pi\)
\(32\) 4.41406 2.12570i 0.780303 0.375774i
\(33\) −1.00393 + 0.151318i −0.174761 + 0.0263410i
\(34\) −6.22544 4.24444i −1.06765 0.727915i
\(35\) 7.05465 8.84626i 1.19245 1.49529i
\(36\) 1.99294 + 3.45188i 0.332157 + 0.575313i
\(37\) 3.91502 6.78101i 0.643625 1.11479i −0.340992 0.940066i \(-0.610763\pi\)
0.984617 0.174725i \(-0.0559037\pi\)
\(38\) −0.0404923 0.103173i −0.00656872 0.0167368i
\(39\) 2.09082 + 1.00689i 0.334799 + 0.161231i
\(40\) −12.3900 3.82182i −1.95904 0.604283i
\(41\) −1.86928 + 8.18985i −0.291932 + 1.27904i 0.589900 + 0.807476i \(0.299167\pi\)
−0.881832 + 0.471563i \(0.843690\pi\)
\(42\) −8.68517 −1.34015
\(43\) −4.39142 + 4.86985i −0.669685 + 0.742645i
\(44\) 2.53985 0.382897
\(45\) −1.07069 + 4.69101i −0.159610 + 0.699295i
\(46\) 4.51649 + 1.39315i 0.665920 + 0.205409i
\(47\) 7.05780 + 3.39886i 1.02949 + 0.495775i 0.870843 0.491561i \(-0.163574\pi\)
0.158644 + 0.987336i \(0.449288\pi\)
\(48\) 0.312113 + 0.795251i 0.0450497 + 0.114785i
\(49\) −0.359777 + 0.623151i −0.0513966 + 0.0890216i
\(50\) −13.4268 23.2560i −1.89884 3.28889i
\(51\) −2.73287 + 3.42691i −0.382678 + 0.479863i
\(52\) −4.79668 3.27032i −0.665180 0.453512i
\(53\) −1.76849 + 0.266557i −0.242920 + 0.0366144i −0.269374 0.963036i \(-0.586817\pi\)
0.0264535 + 0.999650i \(0.491579\pi\)
\(54\) 11.7768 5.67140i 1.60262 0.771780i
\(55\) 2.24756 + 2.08543i 0.303061 + 0.281200i
\(56\) 8.74735 + 1.31845i 1.16891 + 0.176185i
\(57\) −0.0616116 + 0.0190047i −0.00816065 + 0.00251723i
\(58\) 0.129496 + 1.72800i 0.0170036 + 0.226898i
\(59\) 3.60798 + 4.52427i 0.469719 + 0.589009i 0.959102 0.283060i \(-0.0913494\pi\)
−0.489383 + 0.872069i \(0.662778\pi\)
\(60\) −6.76836 + 17.2455i −0.873791 + 2.22638i
\(61\) 2.15836 2.00266i 0.276349 0.256415i −0.529806 0.848119i \(-0.677735\pi\)
0.806155 + 0.591704i \(0.201545\pi\)
\(62\) −6.59062 + 4.49341i −0.837010 + 0.570663i
\(63\) 0.245321 3.27359i 0.0309076 0.412433i
\(64\) 2.80908 + 12.3074i 0.351134 + 1.53842i
\(65\) −1.55946 6.83245i −0.193428 0.847462i
\(66\) 0.175875 2.34689i 0.0216487 0.288882i
\(67\) 4.62708 3.15469i 0.565288 0.385407i −0.246691 0.969094i \(-0.579343\pi\)
0.811978 + 0.583688i \(0.198391\pi\)
\(68\) 8.03807 7.45824i 0.974759 0.904445i
\(69\) 1.00452 2.55948i 0.120930 0.308126i
\(70\) 16.3533 + 20.5063i 1.95459 + 2.45098i
\(71\) −0.543672 7.25480i −0.0645220 0.860987i −0.931756 0.363086i \(-0.881723\pi\)
0.867234 0.497901i \(-0.165896\pi\)
\(72\) −3.59473 + 1.10883i −0.423643 + 0.130677i
\(73\) −10.0746 1.51850i −1.17914 0.177727i −0.469918 0.882710i \(-0.655716\pi\)
−0.709224 + 0.704983i \(0.750955\pi\)
\(74\) 13.3054 + 12.3456i 1.54672 + 1.43515i
\(75\) −14.0747 + 6.77800i −1.62520 + 0.782656i
\(76\) 0.159495 0.0240401i 0.0182954 0.00275759i
\(77\) −1.72834 1.17836i −0.196962 0.134287i
\(78\) −3.35402 + 4.20580i −0.379768 + 0.476214i
\(79\) −6.70519 11.6137i −0.754393 1.30665i −0.945676 0.325112i \(-0.894598\pi\)
0.191283 0.981535i \(-0.438735\pi\)
\(80\) 1.28997 2.23430i 0.144223 0.249802i
\(81\) −1.48307 3.77880i −0.164785 0.419866i
\(82\) −17.5445 8.44900i −1.93747 0.933036i
\(83\) 5.42706 + 1.67402i 0.595697 + 0.183748i 0.577919 0.816094i \(-0.303865\pi\)
0.0177773 + 0.999842i \(0.494341\pi\)
\(84\) 2.81256 12.3226i 0.306875 1.34451i
\(85\) 13.2369 1.43574
\(86\) −8.74049 12.4364i −0.942511 1.34105i
\(87\) 1.00806 0.108075
\(88\) −0.533404 + 2.33699i −0.0568610 + 0.249124i
\(89\) −11.7786 3.63323i −1.24853 0.385121i −0.401105 0.916032i \(-0.631374\pi\)
−0.847428 + 0.530911i \(0.821850\pi\)
\(90\) −10.0492 4.83945i −1.05928 0.510123i
\(91\) 1.74682 + 4.45083i 0.183117 + 0.466573i
\(92\) −3.43922 + 5.95690i −0.358563 + 0.621049i
\(93\) 2.32015 + 4.01861i 0.240588 + 0.416710i
\(94\) −11.3219 + 14.1972i −1.16776 + 1.46433i
\(95\) 0.160880 + 0.109686i 0.0165059 + 0.0112535i
\(96\) 6.53287 0.984671i 0.666758 0.100498i
\(97\) 9.41101 4.53210i 0.955543 0.460165i 0.109917 0.993941i \(-0.464941\pi\)
0.845626 + 0.533775i \(0.179227\pi\)
\(98\) −1.22272 1.13452i −0.123513 0.114603i
\(99\) 0.879615 + 0.132581i 0.0884046 + 0.0133249i
\(100\) 37.3439 11.5191i 3.73439 1.15191i
\(101\) 0.171298 + 2.28582i 0.0170448 + 0.227447i 0.999220 + 0.0394811i \(0.0125705\pi\)
−0.982175 + 0.187966i \(0.939810\pi\)
\(102\) −6.33501 7.94385i −0.627260 0.786559i
\(103\) −1.94001 + 4.94307i −0.191155 + 0.487056i −0.994032 0.109090i \(-0.965206\pi\)
0.802877 + 0.596145i \(0.203302\pi\)
\(104\) 4.01649 3.72676i 0.393850 0.365439i
\(105\) 12.6068 8.59518i 1.23030 0.838804i
\(106\) 0.309816 4.13421i 0.0300920 0.401550i
\(107\) 0.800089 + 3.50542i 0.0773475 + 0.338882i 0.998765 0.0496936i \(-0.0158245\pi\)
−0.921417 + 0.388575i \(0.872967\pi\)
\(108\) 4.23292 + 18.5456i 0.407313 + 1.78456i
\(109\) 0.415847 5.54910i 0.0398310 0.531507i −0.941225 0.337781i \(-0.890324\pi\)
0.981056 0.193726i \(-0.0620573\pi\)
\(110\) −5.87234 + 4.00369i −0.559906 + 0.381737i
\(111\) 7.74019 7.18185i 0.734667 0.681671i
\(112\) −0.643065 + 1.63850i −0.0607639 + 0.154824i
\(113\) 0.0874119 + 0.109611i 0.00822302 + 0.0103113i 0.785926 0.618321i \(-0.212187\pi\)
−0.777703 + 0.628632i \(0.783615\pi\)
\(114\) −0.0111692 0.149043i −0.00104609 0.0139591i
\(115\) −7.93455 + 2.44748i −0.739901 + 0.228229i
\(116\) −2.49365 0.375857i −0.231529 0.0348974i
\(117\) −1.49050 1.38298i −0.137797 0.127857i
\(118\) −12.0857 + 5.82019i −1.11258 + 0.535792i
\(119\) −8.93005 + 1.34599i −0.818617 + 0.123387i
\(120\) −14.4467 9.84958i −1.31879 0.899139i
\(121\) −6.50497 + 8.15698i −0.591361 + 0.741544i
\(122\) 3.41262 + 5.91082i 0.308964 + 0.535141i
\(123\) −5.66405 + 9.81041i −0.510710 + 0.884575i
\(124\) −4.24103 10.8060i −0.380856 0.970405i
\(125\) 24.1590 + 11.6344i 2.16084 + 1.04061i
\(126\) 7.27164 + 2.24300i 0.647809 + 0.199823i
\(127\) −0.384858 + 1.68617i −0.0341507 + 0.149624i −0.989129 0.147053i \(-0.953021\pi\)
0.954978 + 0.296677i \(0.0958784\pi\)
\(128\) −19.4647 −1.72045
\(129\) −7.59444 + 4.52977i −0.668653 + 0.398824i
\(130\) 16.2455 1.42482
\(131\) 4.87229 21.3469i 0.425694 1.86509i −0.0714858 0.997442i \(-0.522774\pi\)
0.497180 0.867647i \(-0.334369\pi\)
\(132\) 3.27284 + 1.00954i 0.284864 + 0.0878690i
\(133\) −0.119688 0.0576388i −0.0103783 0.00499791i
\(134\) 4.74273 + 12.0843i 0.409710 + 1.04392i
\(135\) −11.4818 + 19.8870i −0.988193 + 1.71160i
\(136\) 5.17445 + 8.96242i 0.443706 + 0.768521i
\(137\) 13.3197 16.7024i 1.13798 1.42698i 0.249314 0.968423i \(-0.419795\pi\)
0.888665 0.458557i \(-0.151634\pi\)
\(138\) 5.26618 + 3.59042i 0.448287 + 0.305637i
\(139\) −12.0494 + 1.81616i −1.02202 + 0.154044i −0.638606 0.769534i \(-0.720489\pi\)
−0.383411 + 0.923578i \(0.625251\pi\)
\(140\) −34.3904 + 16.5615i −2.90652 + 1.39971i
\(141\) 7.74369 + 7.18509i 0.652136 + 0.605094i
\(142\) 16.6760 + 2.51351i 1.39942 + 0.210929i
\(143\) −1.23807 + 0.381893i −0.103532 + 0.0319355i
\(144\) −0.0559371 0.746428i −0.00466142 0.0622024i
\(145\) −1.89807 2.38010i −0.157626 0.197656i
\(146\) 8.62845 21.9849i 0.714095 1.81949i
\(147\) −0.711297 + 0.659987i −0.0586668 + 0.0544348i
\(148\) −21.8248 + 14.8799i −1.79399 + 1.22312i
\(149\) −0.617820 + 8.24424i −0.0506138 + 0.675395i 0.912977 + 0.408012i \(0.133778\pi\)
−0.963590 + 0.267383i \(0.913841\pi\)
\(150\) −8.05801 35.3044i −0.657934 2.88260i
\(151\) 1.01707 + 4.45608i 0.0827681 + 0.362631i 0.999303 0.0373233i \(-0.0118831\pi\)
−0.916535 + 0.399954i \(0.869026\pi\)
\(152\) −0.0113763 + 0.151806i −0.000922736 + 0.0123131i
\(153\) 3.17311 2.16339i 0.256531 0.174900i
\(154\) 3.55456 3.29815i 0.286435 0.265773i
\(155\) 5.11966 13.0447i 0.411221 1.04777i
\(156\) −4.88110 6.12071i −0.390801 0.490049i
\(157\) −0.748623 9.98968i −0.0597466 0.797263i −0.943935 0.330132i \(-0.892907\pi\)
0.884188 0.467131i \(-0.154712\pi\)
\(158\) 29.7053 9.16287i 2.36323 0.728959i
\(159\) −2.38482 0.359453i −0.189128 0.0285065i
\(160\) −14.6256 13.5706i −1.15625 1.07285i
\(161\) 5.10404 2.45798i 0.402255 0.193716i
\(162\) 9.30494 1.40249i 0.731065 0.110190i
\(163\) 17.6610 + 12.0410i 1.38331 + 0.943128i 0.999808 + 0.0195896i \(0.00623595\pi\)
0.383506 + 0.923538i \(0.374716\pi\)
\(164\) 17.6691 22.1563i 1.37972 1.73012i
\(165\) 2.06728 + 3.58064i 0.160938 + 0.278753i
\(166\) −6.58263 + 11.4014i −0.510911 + 0.884924i
\(167\) 8.02372 + 20.4441i 0.620894 + 1.58201i 0.801197 + 0.598401i \(0.204197\pi\)
−0.180302 + 0.983611i \(0.557708\pi\)
\(168\) 10.7478 + 5.17585i 0.829207 + 0.399325i
\(169\) −9.59254 2.95891i −0.737888 0.227608i
\(170\) −6.82788 + 29.9149i −0.523675 + 2.29437i
\(171\) 0.0564923 0.00432007
\(172\) 20.4754 8.37377i 1.56124 0.638494i
\(173\) −15.5770 −1.18430 −0.592151 0.805827i \(-0.701721\pi\)
−0.592151 + 0.805827i \(0.701721\pi\)
\(174\) −0.519977 + 2.27817i −0.0394194 + 0.172708i
\(175\) −30.7563 9.48708i −2.32496 0.717155i
\(176\) −0.429731 0.206948i −0.0323922 0.0155993i
\(177\) 2.85093 + 7.26405i 0.214289 + 0.546000i
\(178\) 14.2866 24.7452i 1.07083 1.85473i
\(179\) 3.49011 + 6.04505i 0.260863 + 0.451828i 0.966472 0.256774i \(-0.0826596\pi\)
−0.705608 + 0.708602i \(0.749326\pi\)
\(180\) 10.1206 12.6908i 0.754342 0.945916i
\(181\) −4.54803 3.10080i −0.338053 0.230480i 0.382380 0.924005i \(-0.375104\pi\)
−0.720433 + 0.693525i \(0.756057\pi\)
\(182\) −10.9598 + 1.65192i −0.812391 + 0.122448i
\(183\) 3.57727 1.72272i 0.264439 0.127347i
\(184\) −4.75884 4.41556i −0.350827 0.325520i
\(185\) −31.5309 4.75252i −2.31820 0.349412i
\(186\) −10.2787 + 3.17056i −0.753670 + 0.232476i
\(187\) −0.182877 2.44032i −0.0133733 0.178454i
\(188\) −16.4767 20.6611i −1.20169 1.50687i
\(189\) 5.72378 14.5840i 0.416344 1.06083i
\(190\) −0.330871 + 0.307004i −0.0240039 + 0.0222724i
\(191\) −15.7034 + 10.7064i −1.13626 + 0.774689i −0.977146 0.212571i \(-0.931816\pi\)
−0.159115 + 0.987260i \(0.550864\pi\)
\(192\) −1.27216 + 16.9758i −0.0918102 + 1.22512i
\(193\) 0.685255 + 3.00230i 0.0493257 + 0.216110i 0.993584 0.113095i \(-0.0360764\pi\)
−0.944258 + 0.329205i \(0.893219\pi\)
\(194\) 5.38798 + 23.6063i 0.386835 + 1.69483i
\(195\) 0.706241 9.42413i 0.0505750 0.674876i
\(196\) 2.00562 1.36741i 0.143259 0.0976722i
\(197\) −8.60862 + 7.98763i −0.613339 + 0.569095i −0.924462 0.381274i \(-0.875485\pi\)
0.311123 + 0.950370i \(0.399295\pi\)
\(198\) −0.753352 + 1.91951i −0.0535384 + 0.136414i
\(199\) 0.166901 + 0.209287i 0.0118313 + 0.0148360i 0.787712 0.616044i \(-0.211266\pi\)
−0.775881 + 0.630880i \(0.782694\pi\)
\(200\) 2.75632 + 36.7805i 0.194901 + 2.60077i
\(201\) 7.21637 2.22595i 0.509003 0.157007i
\(202\) −5.25422 0.791947i −0.369686 0.0557212i
\(203\) 1.52252 + 1.41269i 0.106860 + 0.0991514i
\(204\) 13.3223 6.41570i 0.932750 0.449189i
\(205\) 33.8280 5.09874i 2.36265 0.356112i
\(206\) −10.1705 6.93410i −0.708610 0.483122i
\(207\) −1.50204 + 1.88350i −0.104399 + 0.130912i
\(208\) 0.545110 + 0.944158i 0.0377966 + 0.0654656i
\(209\) 0.0179987 0.0311747i 0.00124500 0.00215640i
\(210\) 12.9219 + 32.9245i 0.891697 + 2.27201i
\(211\) −14.7666 7.11124i −1.01658 0.489558i −0.150045 0.988679i \(-0.547942\pi\)
−0.866532 + 0.499122i \(0.833656\pi\)
\(212\) 5.76534 + 1.77837i 0.395965 + 0.122139i
\(213\) 2.18306 9.56462i 0.149581 0.655357i
\(214\) −8.33482 −0.569757
\(215\) 24.9947 + 9.40196i 1.70462 + 0.641208i
\(216\) −17.9534 −1.22157
\(217\) −2.12745 + 9.32096i −0.144421 + 0.632748i
\(218\) 12.3263 + 3.80215i 0.834839 + 0.257514i
\(219\) −12.3785 5.96118i −0.836463 0.402819i
\(220\) −3.77882 9.62828i −0.254768 0.649139i
\(221\) −2.79679 + 4.84418i −0.188132 + 0.325855i
\(222\) 12.2382 + 21.1971i 0.821371 + 1.42266i
\(223\) 3.03608 3.80712i 0.203311 0.254944i −0.669714 0.742619i \(-0.733583\pi\)
0.873025 + 0.487675i \(0.162155\pi\)
\(224\) 11.2468 + 7.66796i 0.751460 + 0.512337i
\(225\) 13.5345 2.03999i 0.902297 0.135999i
\(226\) −0.292806 + 0.141008i −0.0194772 + 0.00937971i
\(227\) 14.1316 + 13.1122i 0.937947 + 0.870288i 0.991740 0.128265i \(-0.0409406\pi\)
−0.0537930 + 0.998552i \(0.517131\pi\)
\(228\) 0.215081 + 0.0324182i 0.0142441 + 0.00214695i
\(229\) −6.90123 + 2.12875i −0.456046 + 0.140672i −0.514263 0.857632i \(-0.671935\pi\)
0.0582171 + 0.998304i \(0.481458\pi\)
\(230\) −1.43841 19.1943i −0.0948460 1.26563i
\(231\) −1.75875 2.20541i −0.115718 0.145105i
\(232\) 0.869538 2.21555i 0.0570880 0.145458i
\(233\) −6.45459 + 5.98898i −0.422854 + 0.392351i −0.862695 0.505724i \(-0.831225\pi\)
0.439841 + 0.898076i \(0.355035\pi\)
\(234\) 3.89432 2.65511i 0.254580 0.173570i
\(235\) 2.38400 31.8122i 0.155515 2.07520i
\(236\) −4.34397 19.0322i −0.282768 1.23889i
\(237\) −4.02407 17.6306i −0.261391 1.14523i
\(238\) 1.56443 20.8759i 0.101407 1.35318i
\(239\) 4.97430 3.39142i 0.321761 0.219373i −0.391658 0.920111i \(-0.628098\pi\)
0.713418 + 0.700738i \(0.247146\pi\)
\(240\) 2.55034 2.36637i 0.164624 0.152749i
\(241\) −6.42983 + 16.3830i −0.414182 + 1.05532i 0.559787 + 0.828637i \(0.310883\pi\)
−0.973969 + 0.226682i \(0.927212\pi\)
\(242\) −15.0791 18.9085i −0.969319 1.21549i
\(243\) 0.855086 + 11.4103i 0.0548538 + 0.731973i
\(244\) −9.49147 + 2.92773i −0.607629 + 0.187429i
\(245\) 2.89758 + 0.436740i 0.185119 + 0.0279023i
\(246\) −19.2495 17.8610i −1.22731 1.13877i
\(247\) −0.0741325 + 0.0357003i −0.00471694 + 0.00227156i
\(248\) 10.8336 1.63290i 0.687934 0.103689i
\(249\) 6.32790 + 4.31429i 0.401014 + 0.273407i
\(250\) −38.7549 + 48.5971i −2.45108 + 3.07355i
\(251\) 8.69184 + 15.0547i 0.548624 + 0.950245i 0.998369 + 0.0570882i \(0.0181816\pi\)
−0.449745 + 0.893157i \(0.648485\pi\)
\(252\) −5.53721 + 9.59073i −0.348812 + 0.604159i
\(253\) 0.560833 + 1.42898i 0.0352592 + 0.0898391i
\(254\) −3.61217 1.73953i −0.226648 0.109148i
\(255\) 17.0570 + 5.26140i 1.06815 + 0.329481i
\(256\) 4.42216 19.3748i 0.276385 1.21092i
\(257\) −24.3517 −1.51902 −0.759508 0.650498i \(-0.774560\pi\)
−0.759508 + 0.650498i \(0.774560\pi\)
\(258\) −6.31974 19.4997i −0.393450 1.21400i
\(259\) 21.7550 1.35179
\(260\) −5.26085 + 23.0493i −0.326264 + 1.42946i
\(261\) −0.843994 0.260338i −0.0522419 0.0161145i
\(262\) 45.7300 + 22.0224i 2.82521 + 1.36055i
\(263\) −7.49599 19.0995i −0.462223 1.17772i −0.952060 0.305910i \(-0.901039\pi\)
0.489838 0.871814i \(-0.337056\pi\)
\(264\) −1.61625 + 2.79943i −0.0994733 + 0.172293i
\(265\) 3.64167 + 6.30755i 0.223706 + 0.387470i
\(266\) 0.191999 0.240759i 0.0117722 0.0147619i
\(267\) −13.7338 9.36353i −0.840493 0.573039i
\(268\) −18.6812 + 2.81574i −1.14114 + 0.171999i
\(269\) 15.3360 7.38545i 0.935055 0.450299i 0.0966331 0.995320i \(-0.469193\pi\)
0.838422 + 0.545021i \(0.183478\pi\)
\(270\) −39.0213 36.2065i −2.37476 2.20346i
\(271\) −3.41724 0.515067i −0.207583 0.0312881i 0.0444275 0.999013i \(-0.485854\pi\)
−0.252010 + 0.967725i \(0.581092\pi\)
\(272\) −1.96771 + 0.606957i −0.119310 + 0.0368022i
\(273\) 0.481835 + 6.42965i 0.0291620 + 0.389140i
\(274\) 30.8761 + 38.7175i 1.86530 + 2.33901i
\(275\) 3.18640 8.11881i 0.192147 0.489582i
\(276\) −6.79951 + 6.30902i −0.409282 + 0.379758i
\(277\) 19.9087 13.5735i 1.19619 0.815552i 0.209448 0.977820i \(-0.432833\pi\)
0.986747 + 0.162268i \(0.0518809\pi\)
\(278\) 2.11090 28.1680i 0.126603 1.68941i
\(279\) −0.904705 3.96377i −0.0541632 0.237305i
\(280\) −8.01634 35.1219i −0.479068 2.09893i
\(281\) 0.429939 5.73714i 0.0256480 0.342249i −0.969587 0.244746i \(-0.921295\pi\)
0.995235 0.0975031i \(-0.0310856\pi\)
\(282\) −20.2324 + 13.7942i −1.20482 + 0.821434i
\(283\) 11.6970 10.8533i 0.695317 0.645160i −0.251154 0.967947i \(-0.580810\pi\)
0.946472 + 0.322787i \(0.104620\pi\)
\(284\) −8.96647 + 22.8462i −0.532062 + 1.35567i
\(285\) 0.163711 + 0.205287i 0.00969741 + 0.0121602i
\(286\) −0.224442 2.99497i −0.0132716 0.177097i
\(287\) −22.3030 + 6.87956i −1.31650 + 0.406088i
\(288\) −5.72393 0.862744i −0.337286 0.0508377i
\(289\) 4.71715 + 4.37687i 0.277479 + 0.257463i
\(290\) 6.35800 3.06185i 0.373355 0.179798i
\(291\) 13.9284 2.09937i 0.816498 0.123067i
\(292\) 28.3983 + 19.3616i 1.66188 + 1.13305i
\(293\) −3.77347 + 4.73178i −0.220449 + 0.276434i −0.879741 0.475453i \(-0.842284\pi\)
0.659293 + 0.751886i \(0.270856\pi\)
\(294\) −1.12464 1.94794i −0.0655905 0.113606i
\(295\) 11.7830 20.4087i 0.686032 1.18824i
\(296\) −9.10795 23.2067i −0.529389 1.34886i
\(297\) 3.82494 + 1.84199i 0.221946 + 0.106883i
\(298\) −18.3130 5.64881i −1.06084 0.327227i
\(299\) 0.780788 3.42085i 0.0451541 0.197833i
\(300\) 52.6998 3.04263
\(301\) −17.8183 3.80130i −1.02703 0.219103i
\(302\) −10.5952 −0.609686
\(303\) −0.687831 + 3.01359i −0.0395149 + 0.173126i
\(304\) −0.0289447 0.00892826i −0.00166009 0.000512071i
\(305\) −10.8031 5.20250i −0.618584 0.297894i
\(306\) 3.25242 + 8.28704i 0.185929 + 0.473739i
\(307\) −11.7476 + 20.3475i −0.670472 + 1.16129i 0.307298 + 0.951613i \(0.400575\pi\)
−0.977770 + 0.209679i \(0.932758\pi\)
\(308\) 3.52837 + 6.11131i 0.201047 + 0.348224i
\(309\) −4.46467 + 5.59852i −0.253986 + 0.318488i
\(310\) 26.8396 + 18.2990i 1.52439 + 1.03931i
\(311\) 1.16489 0.175579i 0.0660550 0.00995619i −0.115932 0.993257i \(-0.536985\pi\)
0.181987 + 0.983301i \(0.441747\pi\)
\(312\) 6.65695 3.20582i 0.376876 0.181494i
\(313\) 21.8138 + 20.2403i 1.23299 + 1.14405i 0.984495 + 0.175415i \(0.0561268\pi\)
0.248496 + 0.968633i \(0.420064\pi\)
\(314\) 22.9625 + 3.46103i 1.29585 + 0.195317i
\(315\) −12.7748 + 3.94050i −0.719778 + 0.222022i
\(316\) 3.38079 + 45.1135i 0.190184 + 2.53783i
\(317\) −16.7284 20.9767i −0.939560 1.17817i −0.983822 0.179151i \(-0.942665\pi\)
0.0442619 0.999020i \(-0.485906\pi\)
\(318\) 2.04249 5.20419i 0.114537 0.291836i
\(319\) −0.412565 + 0.382805i −0.0230992 + 0.0214330i
\(320\) 42.4765 28.9600i 2.37451 1.61891i
\(321\) −0.362340 + 4.83509i −0.0202239 + 0.269869i
\(322\) 2.92216 + 12.8028i 0.162846 + 0.713473i
\(323\) −0.0345821 0.151514i −0.00192420 0.00843048i
\(324\) −1.02339 + 13.6561i −0.0568548 + 0.758674i
\(325\) −16.4715 + 11.2301i −0.913677 + 0.622934i
\(326\) −36.3222 + 33.7021i −2.01170 + 1.86659i
\(327\) 2.74151 6.98526i 0.151606 0.386286i
\(328\) 16.6760 + 20.9110i 0.920777 + 1.15462i
\(329\) 1.62649 + 21.7040i 0.0896713 + 1.19658i
\(330\) −9.15847 + 2.82501i −0.504157 + 0.155512i
\(331\) 2.75598 + 0.415397i 0.151482 + 0.0228323i 0.224346 0.974510i \(-0.427976\pi\)
−0.0728632 + 0.997342i \(0.523214\pi\)
\(332\) −14.0448 13.0317i −0.770810 0.715207i
\(333\) −8.33523 + 4.01403i −0.456768 + 0.219968i
\(334\) −50.3417 + 7.58779i −2.75458 + 0.415186i
\(335\) −18.8433 12.8472i −1.02952 0.701915i
\(336\) −1.47992 + 1.85576i −0.0807364 + 0.101240i
\(337\) −4.52447 7.83661i −0.246463 0.426887i 0.716079 0.698020i \(-0.245935\pi\)
−0.962542 + 0.271132i \(0.912602\pi\)
\(338\) 11.6351 20.1525i 0.632864 1.09615i
\(339\) 0.0690706 + 0.175989i 0.00375140 + 0.00955841i
\(340\) −40.2325 19.3750i −2.18191 1.05075i
\(341\) −2.47561 0.763625i −0.134062 0.0413526i
\(342\) −0.0291399 + 0.127670i −0.00157571 + 0.00690363i
\(343\) 17.4496 0.942192
\(344\) 3.40484 + 20.5987i 0.183577 + 1.11061i
\(345\) −11.1973 −0.602840
\(346\) 8.03498 35.2036i 0.431963 1.89255i
\(347\) 10.0705 + 3.10634i 0.540613 + 0.166757i 0.553023 0.833166i \(-0.313474\pi\)
−0.0124100 + 0.999923i \(0.503950\pi\)
\(348\) −3.06391 1.47550i −0.164243 0.0790951i
\(349\) −4.48874 11.4371i −0.240277 0.612215i 0.758966 0.651130i \(-0.225705\pi\)
−0.999242 + 0.0389157i \(0.987610\pi\)
\(350\) 37.3052 64.6145i 1.99405 3.45379i
\(351\) −4.85190 8.40374i −0.258975 0.448559i
\(352\) −2.29977 + 2.88382i −0.122578 + 0.153708i
\(353\) 3.53890 + 2.41278i 0.188356 + 0.128419i 0.653827 0.756644i \(-0.273162\pi\)
−0.465470 + 0.885063i \(0.654115\pi\)
\(354\) −17.8871 + 2.69604i −0.950687 + 0.143293i
\(355\) −26.6933 + 12.8548i −1.41673 + 0.682262i
\(356\) 30.4822 + 28.2834i 1.61556 + 1.49902i
\(357\) −12.0422 1.81508i −0.637343 0.0960640i
\(358\) −15.4619 + 4.76935i −0.817184 + 0.252068i
\(359\) −2.55838 34.1392i −0.135026 1.80180i −0.495062 0.868858i \(-0.664855\pi\)
0.360036 0.932938i \(-0.382764\pi\)
\(360\) 9.55173 + 11.9775i 0.503421 + 0.631269i
\(361\) −6.94064 + 17.6845i −0.365297 + 0.930762i
\(362\) 9.35366 8.67893i 0.491617 0.456154i
\(363\) −11.6245 + 7.92547i −0.610129 + 0.415979i
\(364\) 1.20539 16.0848i 0.0631795 0.843071i
\(365\) 9.23266 + 40.4509i 0.483259 + 2.11730i
\(366\) 2.04806 + 8.97312i 0.107054 + 0.469032i
\(367\) −2.31138 + 30.8433i −0.120653 + 1.61000i 0.528219 + 0.849108i \(0.322860\pi\)
−0.648873 + 0.760897i \(0.724759\pi\)
\(368\) 1.06727 0.727652i 0.0556353 0.0379315i
\(369\) 7.27582 6.75098i 0.378764 0.351442i
\(370\) 27.0048 68.8072i 1.40391 3.57711i
\(371\) −3.09817 3.88498i −0.160849 0.201698i
\(372\) −1.16983 15.6103i −0.0606528 0.809355i
\(373\) 7.58815 2.34063i 0.392900 0.121193i −0.0920093 0.995758i \(-0.529329\pi\)
0.484909 + 0.874565i \(0.338853\pi\)
\(374\) 5.60936 + 0.845475i 0.290053 + 0.0437185i
\(375\) 26.5068 + 24.5947i 1.36880 + 1.27006i
\(376\) 22.4713 10.8216i 1.15887 0.558082i
\(377\) 1.27206 0.191732i 0.0655144 0.00987471i
\(378\) 30.0067 + 20.4582i 1.54338 + 1.05226i
\(379\) 13.9219 17.4576i 0.715122 0.896735i −0.282929 0.959141i \(-0.591306\pi\)
0.998051 + 0.0624060i \(0.0198774\pi\)
\(380\) −0.328433 0.568862i −0.0168483 0.0291820i
\(381\) −1.16615 + 2.01983i −0.0597435 + 0.103479i
\(382\) −16.0959 41.0118i −0.823539 2.09834i
\(383\) 22.6340 + 10.8999i 1.15654 + 0.556961i 0.910992 0.412423i \(-0.135318\pi\)
0.245549 + 0.969384i \(0.421032\pi\)
\(384\) −25.0822 7.73682i −1.27997 0.394818i
\(385\) −1.89559 + 8.30511i −0.0966081 + 0.423268i
\(386\) −7.13855 −0.363343
\(387\) 7.52828 1.83123i 0.382684 0.0930867i
\(388\) −35.2377 −1.78892
\(389\) 3.91826 17.1670i 0.198664 0.870403i −0.773070 0.634321i \(-0.781280\pi\)
0.971733 0.236081i \(-0.0758632\pi\)
\(390\) 20.9339 + 6.45725i 1.06003 + 0.326976i
\(391\) 5.97109 + 2.87553i 0.301971 + 0.145422i
\(392\) 0.836989 + 2.13261i 0.0422743 + 0.107713i
\(393\) 14.7634 25.5709i 0.744714 1.28988i
\(394\) −13.6112 23.5753i −0.685724 1.18771i
\(395\) −34.0503 + 42.6977i −1.71326 + 2.14836i
\(396\) −2.47946 1.69047i −0.124598 0.0849492i
\(397\) −1.43147 + 0.215759i −0.0718434 + 0.0108287i −0.184866 0.982764i \(-0.559185\pi\)
0.113022 + 0.993592i \(0.463947\pi\)
\(398\) −0.559072 + 0.269235i −0.0280238 + 0.0134955i
\(399\) −0.131320 0.121847i −0.00657420 0.00609996i
\(400\) −7.25700 1.09382i −0.362850 0.0546908i
\(401\) 7.37812 2.27585i 0.368446 0.113650i −0.105003 0.994472i \(-0.533485\pi\)
0.473448 + 0.880822i \(0.343009\pi\)
\(402\) 1.30821 + 17.4569i 0.0652478 + 0.870672i
\(403\) 3.69211 + 4.62976i 0.183917 + 0.230625i
\(404\) 2.82512 7.19829i 0.140555 0.358129i
\(405\) −12.1185 + 11.2443i −0.602172 + 0.558734i
\(406\) −3.97797 + 2.71214i −0.197424 + 0.134601i
\(407\) −0.440541 + 5.87861i −0.0218368 + 0.291392i
\(408\) 3.10541 + 13.6057i 0.153741 + 0.673582i
\(409\) −7.12781 31.2290i −0.352448 1.54417i −0.771511 0.636216i \(-0.780499\pi\)
0.419063 0.907957i \(-0.362359\pi\)
\(410\) −5.92622 + 79.0800i −0.292675 + 3.90548i
\(411\) 23.8026 16.2283i 1.17409 0.800484i
\(412\) 13.1317 12.1845i 0.646954 0.600286i
\(413\) −5.87394 + 14.9666i −0.289038 + 0.736456i
\(414\) −3.48185 4.36610i −0.171124 0.214582i
\(415\) −1.72841 23.0640i −0.0848442 1.13217i
\(416\) 8.05649 2.48510i 0.395002 0.121842i
\(417\) −16.2487 2.44910i −0.795703 0.119933i
\(418\) 0.0611695 + 0.0567570i 0.00299190 + 0.00277608i
\(419\) 19.9028 9.58467i 0.972314 0.468242i 0.120859 0.992670i \(-0.461435\pi\)
0.851455 + 0.524428i \(0.175721\pi\)
\(420\) −50.8983 + 7.67168i −2.48358 + 0.374340i
\(421\) −12.5748 8.57335i −0.612858 0.417840i 0.216717 0.976234i \(-0.430465\pi\)
−0.829575 + 0.558395i \(0.811417\pi\)
\(422\) 23.6881 29.7039i 1.15312 1.44596i
\(423\) −4.62779 8.01557i −0.225011 0.389730i
\(424\) −2.84714 + 4.93139i −0.138269 + 0.239489i
\(425\) −13.7565 35.0511i −0.667290 1.70023i
\(426\) 20.4896 + 9.86727i 0.992725 + 0.478071i
\(427\) 7.81715 + 2.41127i 0.378298 + 0.116690i
\(428\) 2.69910 11.8255i 0.130466 0.571609i
\(429\) −1.74716 −0.0843539
\(430\) −34.1409 + 51.6373i −1.64642 + 2.49017i
\(431\) 16.5109 0.795301 0.397651 0.917537i \(-0.369826\pi\)
0.397651 + 0.917537i \(0.369826\pi\)
\(432\) 0.794913 3.48274i 0.0382453 0.167563i
\(433\) 24.1153 + 7.43859i 1.15891 + 0.357476i 0.813833 0.581099i \(-0.197377\pi\)
0.345075 + 0.938575i \(0.387853\pi\)
\(434\) −19.9676 9.61591i −0.958477 0.461578i
\(435\) −1.49980 3.82143i −0.0719100 0.183224i
\(436\) −9.38620 + 16.2574i −0.449517 + 0.778587i
\(437\) 0.0487442 + 0.0844275i 0.00233175 + 0.00403872i
\(438\) 19.8571 24.9001i 0.948811 1.18977i
\(439\) 15.6707 + 10.6841i 0.747922 + 0.509924i 0.876279 0.481804i \(-0.160018\pi\)
−0.128358 + 0.991728i \(0.540971\pi\)
\(440\) 9.65289 1.45494i 0.460184 0.0693615i
\(441\) 0.765978 0.368876i 0.0364752 0.0175655i
\(442\) −9.50503 8.81938i −0.452108 0.419495i
\(443\) −37.0756 5.58825i −1.76152 0.265506i −0.813007 0.582254i \(-0.802171\pi\)
−0.948510 + 0.316748i \(0.897409\pi\)
\(444\) −34.0378 + 10.4993i −1.61536 + 0.498274i
\(445\) 3.75126 + 50.0571i 0.177827 + 2.37293i
\(446\) 7.03788 + 8.82523i 0.333253 + 0.417887i
\(447\) −4.07304 + 10.3779i −0.192648 + 0.490859i
\(448\) −25.7113 + 23.8566i −1.21474 + 1.12712i
\(449\) −14.9462 + 10.1902i −0.705357 + 0.480904i −0.862102 0.506735i \(-0.830852\pi\)
0.156745 + 0.987639i \(0.449900\pi\)
\(450\) −2.37106 + 31.6396i −0.111773 + 1.49151i
\(451\) −1.40735 6.16599i −0.0662693 0.290345i
\(452\) −0.105243 0.461100i −0.00495022 0.0216883i
\(453\) −0.460606 + 6.14636i −0.0216412 + 0.288781i
\(454\) −36.9225 + 25.1733i −1.73286 + 1.18144i
\(455\) 14.2736 13.2440i 0.669159 0.620889i
\(456\) −0.0749990 + 0.191094i −0.00351215 + 0.00894881i
\(457\) 4.42658 + 5.55075i 0.207067 + 0.259653i 0.874510 0.485007i \(-0.161183\pi\)
−0.667444 + 0.744660i \(0.732612\pi\)
\(458\) −1.25109 16.6946i −0.0584594 0.780087i
\(459\) 17.5141 5.40239i 0.817489 0.252162i
\(460\) 27.6988 + 4.17493i 1.29147 + 0.194657i
\(461\) 1.48177 + 1.37488i 0.0690130 + 0.0640347i 0.713925 0.700222i \(-0.246916\pi\)
−0.644912 + 0.764257i \(0.723106\pi\)
\(462\) 5.89135 2.83712i 0.274090 0.131995i
\(463\) −23.5610 + 3.55125i −1.09497 + 0.165041i −0.671600 0.740914i \(-0.734392\pi\)
−0.423374 + 0.905955i \(0.639154\pi\)
\(464\) 0.391289 + 0.266776i 0.0181651 + 0.0123848i
\(465\) 11.7822 14.7744i 0.546385 0.685145i
\(466\) −10.2055 17.6764i −0.472759 0.818842i
\(467\) −8.68583 + 15.0443i −0.401932 + 0.696167i −0.993959 0.109751i \(-0.964995\pi\)
0.592027 + 0.805918i \(0.298328\pi\)
\(468\) 2.50598 + 6.38513i 0.115839 + 0.295153i
\(469\) 14.0187 + 6.75104i 0.647323 + 0.311734i
\(470\) 70.6647 + 21.7972i 3.25952 + 1.00543i
\(471\) 3.00602 13.1702i 0.138510 0.606852i
\(472\) 18.4244 0.848052
\(473\) 1.38800 4.73784i 0.0638203 0.217846i
\(474\) 41.9202 1.92546
\(475\) 0.123251 0.539998i 0.00565515 0.0247768i
\(476\) 29.1123 + 8.97997i 1.33436 + 0.411596i
\(477\) 1.90385 + 0.916848i 0.0871715 + 0.0419796i
\(478\) 5.09863 + 12.9911i 0.233206 + 0.594199i
\(479\) −3.86370 + 6.69213i −0.176537 + 0.305771i −0.940692 0.339261i \(-0.889823\pi\)
0.764155 + 0.645033i \(0.223156\pi\)
\(480\) −13.4525 23.3004i −0.614019 1.06351i
\(481\) 8.40131 10.5349i 0.383067 0.480350i
\(482\) −33.7082 22.9819i −1.53537 1.04680i
\(483\) 7.55405 1.13859i 0.343721 0.0518076i
\(484\) 31.7108 15.2711i 1.44140 0.694142i
\(485\) −31.1825 28.9332i −1.41593 1.31379i
\(486\) −26.2280 3.95323i −1.18973 0.179322i
\(487\) 16.7051 5.15285i 0.756982 0.233498i 0.107843 0.994168i \(-0.465606\pi\)
0.649139 + 0.760670i \(0.275129\pi\)
\(488\) −0.700556 9.34827i −0.0317127 0.423176i
\(489\) 17.9718 + 22.5359i 0.812713 + 1.01911i
\(490\) −2.48165 + 6.32314i −0.112109 + 0.285650i
\(491\) 15.9175 14.7693i 0.718346 0.666528i −0.233760 0.972294i \(-0.575103\pi\)
0.952107 + 0.305766i \(0.0989127\pi\)
\(492\) 31.5750 21.5275i 1.42351 0.970534i
\(493\) −0.181578 + 2.42299i −0.00817786 + 0.109126i
\(494\) −0.0424423 0.185952i −0.00190957 0.00836636i
\(495\) −0.806105 3.53178i −0.0362317 0.158742i
\(496\) −0.162910 + 2.17388i −0.00731487 + 0.0976102i
\(497\) 16.7010 11.3866i 0.749144 0.510758i
\(498\) −13.0142 + 12.0754i −0.583180 + 0.541112i
\(499\) −13.1125 + 33.4100i −0.586995 + 1.49564i 0.260842 + 0.965382i \(0.416000\pi\)
−0.847837 + 0.530257i \(0.822095\pi\)
\(500\) −56.4000 70.7234i −2.52229 3.16285i
\(501\) 2.21323 + 29.5335i 0.0988797 + 1.31946i
\(502\) −38.5065 + 11.8777i −1.71863 + 0.530127i
\(503\) 0.0899578 + 0.0135590i 0.00401102 + 0.000604564i 0.151047 0.988527i \(-0.451735\pi\)
−0.147036 + 0.989131i \(0.546973\pi\)
\(504\) −7.66184 7.10915i −0.341286 0.316667i
\(505\) 8.41042 4.05025i 0.374259 0.180234i
\(506\) −3.51873 + 0.530363i −0.156426 + 0.0235775i
\(507\) −11.1848 7.62568i −0.496735 0.338668i
\(508\) 3.63781 4.56168i 0.161402 0.202392i
\(509\) −11.3425 19.6459i −0.502749 0.870787i −0.999995 0.00317746i \(-0.998989\pi\)
0.497246 0.867610i \(-0.334345\pi\)
\(510\) −20.6889 + 35.8343i −0.916122 + 1.58677i
\(511\) −10.3419 26.3507i −0.457498 1.16569i
\(512\) 6.43101 + 3.09701i 0.284213 + 0.136870i
\(513\) 0.257630 + 0.0794685i 0.0113747 + 0.00350862i
\(514\) 12.5611 55.0339i 0.554048 2.42744i
\(515\) 21.6250 0.952913
\(516\) 29.7130 2.65185i 1.30804 0.116741i
\(517\) −5.89775 −0.259383
\(518\) −11.2217 + 49.1656i −0.493054 + 2.16021i
\(519\) −20.0725 6.19156i −0.881087 0.271779i
\(520\) −20.1035 9.68136i −0.881599 0.424556i
\(521\) 1.72346 + 4.39129i 0.0755060 + 0.192386i 0.963643 0.267192i \(-0.0860958\pi\)
−0.888137 + 0.459578i \(0.848001\pi\)
\(522\) 1.02370 1.77311i 0.0448063 0.0776068i
\(523\) −0.853098 1.47761i −0.0373034 0.0646113i 0.846771 0.531958i \(-0.178543\pi\)
−0.884074 + 0.467346i \(0.845210\pi\)
\(524\) −46.0546 + 57.7507i −2.01191 + 2.52285i
\(525\) −35.8616 24.4500i −1.56513 1.06709i
\(526\) 47.0307 7.08874i 2.05064 0.309084i
\(527\) −10.0771 + 4.85290i −0.438968 + 0.211396i
\(528\) −0.471493 0.437481i −0.0205191 0.0190389i
\(529\) 18.6322 + 2.80835i 0.810095 + 0.122102i
\(530\) −16.1333 + 4.97646i −0.700785 + 0.216164i
\(531\) −0.510945 6.81809i −0.0221731 0.295880i
\(532\) 0.279416 + 0.350377i 0.0121142 + 0.0151908i
\(533\) −5.28148 + 13.4570i −0.228766 + 0.582887i
\(534\) 28.2454 26.2079i 1.22230 1.13413i
\(535\) 12.0983 8.24846i 0.523054 0.356612i
\(536\) 1.33246 17.7805i 0.0575537 0.768001i
\(537\) 2.09456 + 9.17688i 0.0903870 + 0.396011i
\(538\) 8.78018 + 38.4685i 0.378540 + 1.65849i
\(539\) 0.0404841 0.540223i 0.00174378 0.0232691i
\(540\) 64.0067 43.6390i 2.75441 1.87792i
\(541\) −8.33253 + 7.73145i −0.358243 + 0.332401i −0.838676 0.544630i \(-0.816670\pi\)
0.480433 + 0.877031i \(0.340480\pi\)
\(542\) 2.92672 7.45716i 0.125713 0.320313i
\(543\) −4.62808 5.80343i −0.198610 0.249049i
\(544\) 1.19004 + 15.8799i 0.0510224 + 0.680846i
\(545\) −21.6547 + 6.67960i −0.927586 + 0.286123i
\(546\) −14.7793 2.22762i −0.632496 0.0953334i
\(547\) −17.1076 15.8735i −0.731467 0.678703i 0.223737 0.974650i \(-0.428174\pi\)
−0.955204 + 0.295947i \(0.904365\pi\)
\(548\) −64.9316 + 31.2694i −2.77374 + 1.33576i
\(549\) −3.43997 + 0.518492i −0.146814 + 0.0221287i
\(550\) 16.7046 + 11.3890i 0.712286 + 0.485628i
\(551\) −0.0222847 + 0.0279441i −0.000949358 + 0.00119046i
\(552\) −4.37714 7.58142i −0.186303 0.322687i
\(553\) 18.6298 32.2677i 0.792218 1.37216i
\(554\) 20.4063 + 51.9943i 0.866979 + 2.20903i
\(555\) −38.7416 18.6570i −1.64449 0.791944i
\(556\) 39.2815 + 12.1167i 1.66591 + 0.513865i
\(557\) −1.28534 + 5.63146i −0.0544618 + 0.238613i −0.994831 0.101542i \(-0.967622\pi\)
0.940369 + 0.340155i \(0.110479\pi\)
\(558\) 9.42464 0.398977
\(559\) −8.72180 + 7.16055i −0.368893 + 0.302859i
\(560\) 7.16814 0.302909
\(561\) 0.734322 3.21728i 0.0310031 0.135834i
\(562\) 12.7440 + 3.93099i 0.537571 + 0.165819i
\(563\) −3.42474 1.64927i −0.144336 0.0695084i 0.360322 0.932828i \(-0.382667\pi\)
−0.504657 + 0.863320i \(0.668381\pi\)
\(564\) −13.0195 33.1730i −0.548218 1.39684i
\(565\) 0.285471 0.494450i 0.0120098 0.0208017i
\(566\) 18.4944 + 32.0333i 0.777378 + 1.34646i
\(567\) 7.03215 8.81804i 0.295323 0.370323i
\(568\) −19.1384 13.0483i −0.803030 0.547497i
\(569\) 35.8718 5.40680i 1.50382 0.226665i 0.655116 0.755528i \(-0.272620\pi\)
0.848707 + 0.528863i \(0.177381\pi\)
\(570\) −0.548387 + 0.264089i −0.0229694 + 0.0110615i
\(571\) −19.4633 18.0593i −0.814514 0.755758i 0.158289 0.987393i \(-0.449402\pi\)
−0.972803 + 0.231635i \(0.925593\pi\)
\(572\) 4.32199 + 0.651435i 0.180711 + 0.0272379i
\(573\) −24.4910 + 7.55446i −1.02312 + 0.315592i
\(574\) −4.04319 53.9526i −0.168759 2.25194i
\(575\) 14.7269 + 18.4670i 0.614156 + 0.770127i
\(576\) 5.44923 13.8844i 0.227051 0.578517i
\(577\) 9.54816 8.85940i 0.397495 0.368821i −0.455949 0.890006i \(-0.650700\pi\)
0.853444 + 0.521184i \(0.174510\pi\)
\(578\) −12.3248 + 8.40289i −0.512643 + 0.349514i
\(579\) −0.310335 + 4.14113i −0.0128971 + 0.172099i
\(580\) 2.28525 + 10.0123i 0.0948899 + 0.415740i
\(581\) 3.51130 + 15.3840i 0.145673 + 0.638236i
\(582\) −2.44008 + 32.5606i −0.101145 + 1.34968i
\(583\) 1.11253 0.758511i 0.0460763 0.0314143i
\(584\) −23.7793 + 22.0639i −0.983994 + 0.913013i
\(585\) −3.02515 + 7.70795i −0.125074 + 0.318685i
\(586\) −8.74722 10.9687i −0.361344 0.453111i
\(587\) −0.430770 5.74822i −0.0177798 0.237255i −0.999013 0.0444278i \(-0.985854\pi\)
0.981233 0.192827i \(-0.0617655\pi\)
\(588\) 3.12796 0.964848i 0.128995 0.0397896i
\(589\) −0.162689 0.0245215i −0.00670350 0.00101039i
\(590\) 40.0450 + 37.1564i 1.64863 + 1.52970i
\(591\) −14.2680 + 6.87109i −0.586905 + 0.282639i
\(592\) 4.90508 0.739322i 0.201598 0.0303859i
\(593\) 6.69370 + 4.56369i 0.274877 + 0.187408i 0.692911 0.721024i \(-0.256328\pi\)
−0.418033 + 0.908432i \(0.637280\pi\)
\(594\) −6.13583 + 7.69408i −0.251756 + 0.315692i
\(595\) 18.3888 + 31.8503i 0.753866 + 1.30573i
\(596\) 13.9450 24.1534i 0.571209 0.989362i
\(597\) 0.131881 + 0.336026i 0.00539752 + 0.0137526i
\(598\) 7.32826 + 3.52910i 0.299675 + 0.144316i
\(599\) −8.12129 2.50509i −0.331827 0.102355i 0.124365 0.992237i \(-0.460311\pi\)
−0.456192 + 0.889882i \(0.650787\pi\)
\(600\) −11.0677 + 48.4908i −0.451837 + 1.97963i
\(601\) 35.6791 1.45538 0.727691 0.685905i \(-0.240594\pi\)
0.727691 + 0.685905i \(0.240594\pi\)
\(602\) 17.7818 38.3078i 0.724734 1.56131i
\(603\) −6.61676 −0.269455
\(604\) 3.43110 15.0326i 0.139609 0.611668i
\(605\) 40.6004 + 12.5236i 1.65064 + 0.509155i
\(606\) −6.45579 3.10895i −0.262249 0.126292i
\(607\) 12.0041 + 30.5861i 0.487233 + 1.24145i 0.937321 + 0.348466i \(0.113297\pi\)
−0.450088 + 0.892984i \(0.648607\pi\)
\(608\) −0.117123 + 0.202864i −0.00474998 + 0.00822721i
\(609\) 1.40040 + 2.42556i 0.0567469 + 0.0982886i
\(610\) 17.3299 21.7311i 0.701669 0.879865i
\(611\) 11.1383 + 7.59397i 0.450608 + 0.307219i
\(612\) −12.8110 + 1.93095i −0.517854 + 0.0780539i
\(613\) 2.01111 0.968499i 0.0812280 0.0391173i −0.392829 0.919612i \(-0.628503\pi\)
0.474057 + 0.880494i \(0.342789\pi\)
\(614\) −39.9249 37.0449i −1.61124 1.49501i
\(615\) 45.6172 + 6.87569i 1.83946 + 0.277255i
\(616\) −6.36422 + 1.96310i −0.256422 + 0.0790956i
\(617\) −0.983300 13.1212i −0.0395862 0.528241i −0.981383 0.192059i \(-0.938483\pi\)
0.941797 0.336182i \(-0.109136\pi\)
\(618\) −10.3495 12.9778i −0.416316 0.522044i
\(619\) −5.06713 + 12.9108i −0.203665 + 0.518930i −0.995815 0.0913968i \(-0.970867\pi\)
0.792149 + 0.610327i \(0.208962\pi\)
\(620\) −34.6544 + 32.1546i −1.39175 + 1.29136i
\(621\) −9.49953 + 6.47667i −0.381203 + 0.259900i
\(622\) −0.204074 + 2.72318i −0.00818263 + 0.109190i
\(623\) −7.62076 33.3887i −0.305319 1.33769i
\(624\) 0.327144 + 1.43331i 0.0130962 + 0.0573783i
\(625\) 3.83193 51.1336i 0.153277 2.04534i
\(626\) −56.9943 + 38.8581i −2.27795 + 1.55308i
\(627\) 0.0355844 0.0330175i 0.00142110 0.00131859i
\(628\) −12.3466 + 31.4586i −0.492683 + 1.25534i
\(629\) 15.8683 + 19.8982i 0.632709 + 0.793392i
\(630\) −2.31587 30.9032i −0.0922666 1.23121i
\(631\) −5.11794 + 1.57867i −0.203742 + 0.0628461i −0.394946 0.918704i \(-0.629237\pi\)
0.191204 + 0.981550i \(0.438761\pi\)
\(632\) −42.2203 6.36369i −1.67944 0.253134i
\(633\) −16.2017 15.0330i −0.643959 0.597506i
\(634\) 56.0355 26.9853i 2.22545 1.07172i
\(635\) 6.96470 1.04976i 0.276386 0.0416584i
\(636\) 6.72233 + 4.58321i 0.266558 + 0.181736i
\(637\) −0.772051 + 0.968121i −0.0305898 + 0.0383584i
\(638\) −0.652314 1.12984i −0.0258254 0.0447309i
\(639\) −4.29789 + 7.44417i −0.170022 + 0.294487i
\(640\) 28.9599 + 73.7885i 1.14474 + 2.91675i
\(641\) −4.56273 2.19729i −0.180217 0.0867879i 0.341600 0.939845i \(-0.389031\pi\)
−0.521817 + 0.853058i \(0.674746\pi\)
\(642\) −10.7402 3.31292i −0.423883 0.130751i
\(643\) −4.59652 + 20.1387i −0.181269 + 0.794191i 0.799758 + 0.600322i \(0.204961\pi\)
−0.981027 + 0.193869i \(0.937896\pi\)
\(644\) −19.1111 −0.753082
\(645\) 28.4710 + 22.0502i 1.12104 + 0.868226i
\(646\) 0.360255 0.0141740
\(647\) −6.78518 + 29.7278i −0.266753 + 1.16872i 0.647013 + 0.762479i \(0.276018\pi\)
−0.913766 + 0.406242i \(0.866839\pi\)
\(648\) −12.3505 3.80963i −0.485174 0.149656i
\(649\) −3.92529 1.89032i −0.154081 0.0742015i
\(650\) −16.8832 43.0178i −0.662215 1.68730i
\(651\) −6.44631 + 11.1653i −0.252651 + 0.437604i
\(652\) −36.0546 62.4483i −1.41201 2.44567i
\(653\) 25.9574 32.5496i 1.01579 1.27376i 0.0544173 0.998518i \(-0.482670\pi\)
0.961374 0.275244i \(-0.0887587\pi\)
\(654\) 14.3723 + 9.79887i 0.562001 + 0.383166i
\(655\) −88.1729 + 13.2899i −3.44520 + 0.519280i
\(656\) −4.79483 + 2.30907i −0.187207 + 0.0901540i
\(657\) 8.82438 + 8.18783i 0.344272 + 0.319438i
\(658\) −49.8892 7.51959i −1.94488 0.293144i
\(659\) −20.9158 + 6.45166i −0.814762 + 0.251321i −0.674008 0.738724i \(-0.735429\pi\)
−0.140754 + 0.990045i \(0.544953\pi\)
\(660\) −1.04233 13.9090i −0.0405728 0.541406i
\(661\) −3.40742 4.27277i −0.132533 0.166191i 0.711136 0.703054i \(-0.248181\pi\)
−0.843670 + 0.536863i \(0.819609\pi\)
\(662\) −2.36038 + 6.01414i −0.0917386 + 0.233746i
\(663\) −5.52940 + 5.13053i −0.214744 + 0.199253i
\(664\) 14.9405 10.1862i 0.579803 0.395303i
\(665\) −0.0404284 + 0.539480i −0.00156775 + 0.0209201i
\(666\) −4.77208 20.9078i −0.184914 0.810162i
\(667\) −0.339165 1.48598i −0.0131325 0.0575373i
\(668\) 5.53674 73.8826i 0.214223 2.85861i
\(669\) 5.42554 3.69907i 0.209763 0.143014i
\(670\) 38.7539 35.9584i 1.49719 1.38919i
\(671\) −0.809867 + 2.06351i −0.0312646 + 0.0796608i
\(672\) 11.4448 + 14.3513i 0.441492 + 0.553613i
\(673\) 0.265593 + 3.54410i 0.0102379 + 0.136615i 0.999980 0.00624712i \(-0.00198853\pi\)
−0.989743 + 0.142862i \(0.954369\pi\)
\(674\) 20.0443 6.18284i 0.772076 0.238154i
\(675\) 64.5930 + 9.73582i 2.48618 + 0.374732i
\(676\) 24.8248 + 23.0341i 0.954800 + 0.885925i
\(677\) −8.78571 + 4.23097i −0.337662 + 0.162610i −0.595029 0.803704i \(-0.702859\pi\)
0.257367 + 0.966314i \(0.417145\pi\)
\(678\) −0.433357 + 0.0653180i −0.0166430 + 0.00250852i
\(679\) 23.9788 + 16.3485i 0.920223 + 0.627398i
\(680\) 26.2769 32.9502i 1.00767 1.26358i
\(681\) 12.9981 + 22.5134i 0.498088 + 0.862714i
\(682\) 3.00274 5.20089i 0.114981 0.199152i
\(683\) −7.66440 19.5286i −0.293270 0.747240i −0.999239 0.0389974i \(-0.987584\pi\)
0.705969 0.708242i \(-0.250512\pi\)
\(684\) −0.171704 0.0826882i −0.00656526 0.00316166i
\(685\) −83.1341 25.6435i −3.17639 0.979787i
\(686\) −9.00091 + 39.4356i −0.343656 + 1.50566i
\(687\) −9.73904 −0.371568
\(688\) −4.14665 0.251538i −0.158089 0.00958981i
\(689\) −3.07775 −0.117253
\(690\) 5.77579 25.3054i 0.219881 0.963360i
\(691\) 8.48595 + 2.61757i 0.322821 + 0.0995770i 0.451930 0.892053i \(-0.350736\pi\)
−0.129109 + 0.991630i \(0.541212\pi\)
\(692\) 47.3452 + 22.8003i 1.79980 + 0.866736i
\(693\) 0.902953 + 2.30069i 0.0343003 + 0.0873958i
\(694\) −12.2148 + 21.1566i −0.463667 + 0.803095i
\(695\) 24.8121 + 42.9758i 0.941177 + 1.63017i
\(696\) 2.00112 2.50932i 0.0758522 0.0951157i
\(697\) −22.5603 15.3814i −0.854532 0.582610i
\(698\) 28.1628 4.24486i 1.06598 0.160671i
\(699\) −10.6979 + 5.15182i −0.404630 + 0.194860i
\(700\) 79.5952 + 73.8535i 3.00842 + 2.79140i
\(701\) 24.8182 + 3.74074i 0.937370 + 0.141286i 0.599922 0.800058i \(-0.295198\pi\)
0.337448 + 0.941344i \(0.390436\pi\)
\(702\) 21.4949 6.63029i 0.811271 0.250244i
\(703\) 0.0279772 + 0.373330i 0.00105518 + 0.0140804i
\(704\) −5.92582 7.43074i −0.223338 0.280057i
\(705\) 15.7167 40.0456i 0.591926 1.50820i
\(706\) −7.27823 + 6.75321i −0.273920 + 0.254160i
\(707\) −5.26210 + 3.58764i −0.197902 + 0.134927i
\(708\) 1.96727 26.2515i 0.0739347 0.986590i
\(709\) −11.1254 48.7436i −0.417824 1.83060i −0.544629 0.838677i \(-0.683330\pi\)
0.126806 0.991928i \(-0.459528\pi\)
\(710\) −15.2824 66.9566i −0.573538 2.51284i
\(711\) −1.18408 + 15.8004i −0.0444064 + 0.592563i
\(712\) −32.4261 + 22.1078i −1.21522 + 0.828524i
\(713\) 5.14322 4.77221i 0.192615 0.178721i
\(714\) 10.3137 26.2788i 0.385979 0.983458i
\(715\) 3.28973 + 4.12519i 0.123029 + 0.154273i
\(716\) −1.75973 23.4820i −0.0657642 0.877562i
\(717\) 7.75789 2.39299i 0.289724 0.0893679i
\(718\) 78.4729 + 11.8279i 2.92858 + 0.441413i
\(719\) −8.04392 7.46367i −0.299988 0.278348i 0.515788 0.856716i \(-0.327499\pi\)
−0.815776 + 0.578368i \(0.803690\pi\)
\(720\) −2.74640 + 1.32260i −0.102352 + 0.0492903i
\(721\) −14.5890 + 2.19893i −0.543321 + 0.0818925i
\(722\) −36.3861 24.8076i −1.35415 0.923245i
\(723\) −14.7974 + 18.5553i −0.550319 + 0.690079i
\(724\) 9.28473 + 16.0816i 0.345064 + 0.597669i
\(725\) −4.32989 + 7.49958i −0.160808 + 0.278527i
\(726\) −11.9151 30.3591i −0.442210 1.12673i
\(727\) −21.2553 10.2360i −0.788316 0.379633i −0.00399815 0.999992i \(-0.501273\pi\)
−0.784318 + 0.620359i \(0.786987\pi\)
\(728\) 14.5470 + 4.48714i 0.539146 + 0.166305i
\(729\) −6.14342 + 26.9161i −0.227534 + 0.996892i
\(730\) −96.1799 −3.55978
\(731\) −9.51991 19.0701i −0.352107 0.705333i
\(732\) −13.3944 −0.495071
\(733\) 7.85287 34.4057i 0.290052 1.27080i −0.594399 0.804170i \(-0.702610\pi\)
0.884451 0.466633i \(-0.154533\pi\)
\(734\) −68.5124 21.1333i −2.52884 0.780043i
\(735\) 3.56022 + 1.71451i 0.131321 + 0.0632406i
\(736\) −3.64951 9.29881i −0.134523 0.342759i
\(737\) −2.10813 + 3.65139i −0.0776541 + 0.134501i
\(738\) 11.5039 + 19.9254i 0.423465 + 0.733464i
\(739\) −13.7042 + 17.1846i −0.504119 + 0.632145i −0.967153 0.254196i \(-0.918189\pi\)
0.463034 + 0.886340i \(0.346761\pi\)
\(740\) 88.8794 + 60.5969i 3.26727 + 2.22759i
\(741\) −0.109717 + 0.0165372i −0.00403056 + 0.000607509i
\(742\) 10.3780 4.99779i 0.380989 0.183475i
\(743\) −1.34948 1.25213i −0.0495075 0.0459362i 0.655031 0.755602i \(-0.272656\pi\)
−0.704539 + 0.709666i \(0.748846\pi\)
\(744\) 14.6092 + 2.20198i 0.535599 + 0.0807285i
\(745\) 32.1722 9.92381i 1.17870 0.363580i
\(746\) 1.37561 + 18.3563i 0.0503648 + 0.672071i
\(747\) −4.18383 5.24635i −0.153078 0.191954i
\(748\) −3.01608 + 7.68483i −0.110279 + 0.280985i
\(749\) −7.32316 + 6.79490i −0.267582 + 0.248280i
\(750\) −69.2559 + 47.2178i −2.52887 + 1.72415i
\(751\) −2.39276 + 31.9291i −0.0873129 + 1.16511i 0.765692 + 0.643207i \(0.222397\pi\)
−0.853005 + 0.521903i \(0.825222\pi\)
\(752\) 1.10431 + 4.83830i 0.0402700 + 0.176435i
\(753\) 5.21634 + 22.8543i 0.190094 + 0.832857i
\(754\) −0.222848 + 2.97371i −0.00811566 + 0.108296i
\(755\) 15.3793 10.4854i 0.559710 0.381604i
\(756\) −38.7436 + 35.9488i −1.40909 + 1.30745i
\(757\) 6.22743 15.8672i 0.226340 0.576704i −0.771917 0.635723i \(-0.780702\pi\)
0.998257 + 0.0590188i \(0.0187972\pi\)
\(758\) 32.2722 + 40.4681i 1.17218 + 1.46987i
\(759\) 0.154698 + 2.06430i 0.00561517 + 0.0749292i
\(760\) 0.592404 0.182732i 0.0214887 0.00662840i
\(761\) −2.81970 0.425001i −0.102214 0.0154063i 0.0977361 0.995212i \(-0.468840\pi\)
−0.199950 + 0.979806i \(0.564078\pi\)
\(762\) −3.96321 3.67732i −0.143572 0.133215i
\(763\) 13.9298 6.70823i 0.504292 0.242854i
\(764\) 63.4004 9.55607i 2.29375 0.345727i
\(765\) −12.9222 8.81019i −0.467202 0.318533i
\(766\) −36.3085 + 45.5295i −1.31188 + 1.64505i
\(767\) 4.97919 + 8.62421i 0.179788 + 0.311402i
\(768\) 13.3995 23.2085i 0.483511 0.837466i
\(769\) 17.5058 + 44.6040i 0.631275 + 1.60846i 0.784400 + 0.620255i \(0.212971\pi\)
−0.153126 + 0.988207i \(0.548934\pi\)
\(770\) −17.7915 8.56791i −0.641160 0.308766i
\(771\) −31.3795 9.67930i −1.13011 0.348591i