Properties

Label 546.2.u.a.185.17
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.17
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.62717 + 0.593575i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.76347 + 3.05441i) q^{5} +(-1.11238 - 1.32763i) q^{6} +(1.45770 + 2.20797i) q^{7} -1.00000i q^{8} +(2.29534 + 1.93169i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.62717 + 0.593575i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.76347 + 3.05441i) q^{5} +(-1.11238 - 1.32763i) q^{6} +(1.45770 + 2.20797i) q^{7} -1.00000i q^{8} +(2.29534 + 1.93169i) q^{9} -3.52693i q^{10} -5.58476i q^{11} +(0.299532 + 1.70595i) q^{12} +(1.38855 - 3.32745i) q^{13} +(-0.158422 - 2.64100i) q^{14} +(1.05643 + 6.01678i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.37527 - 2.38204i) q^{17} +(-1.02197 - 2.82056i) q^{18} +7.22955i q^{19} +(-1.76347 + 3.05441i) q^{20} +(1.06133 + 4.45798i) q^{21} +(-2.79238 + 4.83655i) q^{22} +(-3.91643 - 2.26115i) q^{23} +(0.593575 - 1.62717i) q^{24} +(-3.71962 + 6.44257i) q^{25} +(-2.86625 + 2.18738i) q^{26} +(2.58829 + 4.50564i) q^{27} +(-1.18330 + 2.36639i) q^{28} +(-0.473303 + 0.273262i) q^{29} +(2.09350 - 5.73890i) q^{30} +(-1.25106 - 0.722302i) q^{31} +(0.866025 - 0.500000i) q^{32} +(3.31498 - 9.08733i) q^{33} +2.75055i q^{34} +(-4.17343 + 8.34609i) q^{35} +(-0.525225 + 2.95367i) q^{36} +(1.35222 - 2.34212i) q^{37} +(3.61478 - 6.26098i) q^{38} +(4.23450 - 4.59010i) q^{39} +(3.05441 - 1.76347i) q^{40} +(-3.63062 - 6.28842i) q^{41} +(1.30986 - 4.39139i) q^{42} +(0.0709937 - 0.122965i) q^{43} +(4.83655 - 2.79238i) q^{44} +(-1.85243 + 10.4174i) q^{45} +(2.26115 + 3.91643i) q^{46} +(1.96371 + 3.40124i) q^{47} +(-1.32763 + 1.11238i) q^{48} +(-2.75022 + 6.43710i) q^{49} +(6.44257 - 3.71962i) q^{50} +(-0.823876 - 4.69231i) q^{51} +(3.57593 - 0.461204i) q^{52} +(-9.33624 - 5.39028i) q^{53} +(0.0112934 - 5.19614i) q^{54} +(17.0582 - 9.84854i) q^{55} +(2.20797 - 1.45770i) q^{56} +(-4.29128 + 11.7637i) q^{57} +0.546524 q^{58} +(3.71440 + 6.43353i) q^{59} +(-4.68247 + 3.92329i) q^{60} -12.4949i q^{61} +(0.722302 + 1.25106i) q^{62} +(-0.919194 + 7.88385i) q^{63} -1.00000 q^{64} +(12.6121 - 1.62663i) q^{65} +(-7.41452 + 6.21237i) q^{66} -10.5200 q^{67} +(1.37527 - 2.38204i) q^{68} +(-5.03052 - 6.00397i) q^{69} +(7.78734 - 5.14121i) q^{70} +(1.01248 + 0.584557i) q^{71} +(1.93169 - 2.29534i) q^{72} +(11.2019 + 6.46743i) q^{73} +(-2.34212 + 1.35222i) q^{74} +(-9.87659 + 8.27526i) q^{75} +(-6.26098 + 3.61478i) q^{76} +(12.3310 - 8.14091i) q^{77} +(-5.96223 + 1.85790i) q^{78} +(-4.47939 - 7.75854i) q^{79} -3.52693 q^{80} +(1.53714 + 8.86776i) q^{81} +7.26124i q^{82} +3.92570 q^{83} +(-3.33006 + 3.14812i) q^{84} +(4.85050 - 8.40131i) q^{85} +(-0.122965 + 0.0709937i) q^{86} +(-0.932345 + 0.163701i) q^{87} -5.58476 q^{88} +(0.677113 - 1.17279i) q^{89} +(6.81294 - 8.09550i) q^{90} +(9.37099 - 1.78455i) q^{91} -4.52231i q^{92} +(-1.60695 - 1.91790i) q^{93} -3.92741i q^{94} +(-22.0820 + 12.7491i) q^{95} +(1.70595 - 0.299532i) q^{96} +(11.1130 + 6.41610i) q^{97} +(5.60031 - 4.19958i) q^{98} +(10.7880 - 12.8189i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.62717 + 0.593575i 0.939445 + 0.342701i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.76347 + 3.05441i 0.788646 + 1.36597i 0.926797 + 0.375563i \(0.122551\pi\)
−0.138151 + 0.990411i \(0.544116\pi\)
\(6\) −1.11238 1.32763i −0.454127 0.542004i
\(7\) 1.45770 + 2.20797i 0.550959 + 0.834533i
\(8\) 1.00000i 0.353553i
\(9\) 2.29534 + 1.93169i 0.765112 + 0.643897i
\(10\) 3.52693i 1.11531i
\(11\) 5.58476i 1.68387i −0.539580 0.841935i \(-0.681417\pi\)
0.539580 0.841935i \(-0.318583\pi\)
\(12\) 0.299532 + 1.70595i 0.0864673 + 0.492467i
\(13\) 1.38855 3.32745i 0.385115 0.922869i
\(14\) −0.158422 2.64100i −0.0423401 0.705838i
\(15\) 1.05643 + 6.01678i 0.272768 + 1.55353i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.37527 2.38204i −0.333553 0.577731i 0.649653 0.760231i \(-0.274914\pi\)
−0.983206 + 0.182500i \(0.941581\pi\)
\(18\) −1.02197 2.82056i −0.240882 0.664813i
\(19\) 7.22955i 1.65857i 0.558823 + 0.829287i \(0.311253\pi\)
−0.558823 + 0.829287i \(0.688747\pi\)
\(20\) −1.76347 + 3.05441i −0.394323 + 0.682987i
\(21\) 1.06133 + 4.45798i 0.231600 + 0.972811i
\(22\) −2.79238 + 4.83655i −0.595338 + 1.03116i
\(23\) −3.91643 2.26115i −0.816632 0.471483i 0.0326214 0.999468i \(-0.489614\pi\)
−0.849254 + 0.527985i \(0.822948\pi\)
\(24\) 0.593575 1.62717i 0.121163 0.332144i
\(25\) −3.71962 + 6.44257i −0.743924 + 1.28851i
\(26\) −2.86625 + 2.18738i −0.562117 + 0.428981i
\(27\) 2.58829 + 4.50564i 0.498117 + 0.867110i
\(28\) −1.18330 + 2.36639i −0.223624 + 0.447205i
\(29\) −0.473303 + 0.273262i −0.0878902 + 0.0507435i −0.543301 0.839538i \(-0.682826\pi\)
0.455411 + 0.890281i \(0.349492\pi\)
\(30\) 2.09350 5.73890i 0.382219 1.04778i
\(31\) −1.25106 0.722302i −0.224698 0.129729i 0.383426 0.923572i \(-0.374744\pi\)
−0.608124 + 0.793842i \(0.708077\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 3.31498 9.08733i 0.577063 1.58190i
\(34\) 2.75055i 0.471715i
\(35\) −4.17343 + 8.34609i −0.705439 + 1.41075i
\(36\) −0.525225 + 2.95367i −0.0875375 + 0.492278i
\(37\) 1.35222 2.34212i 0.222304 0.385042i −0.733203 0.680010i \(-0.761976\pi\)
0.955507 + 0.294968i \(0.0953090\pi\)
\(38\) 3.61478 6.26098i 0.586394 1.01566i
\(39\) 4.23450 4.59010i 0.678062 0.735005i
\(40\) 3.05441 1.76347i 0.482945 0.278828i
\(41\) −3.63062 6.28842i −0.567008 0.982086i −0.996860 0.0791869i \(-0.974768\pi\)
0.429852 0.902899i \(-0.358566\pi\)
\(42\) 1.30986 4.39139i 0.202115 0.677606i
\(43\) 0.0709937 0.122965i 0.0108264 0.0187519i −0.860561 0.509347i \(-0.829887\pi\)
0.871388 + 0.490595i \(0.163220\pi\)
\(44\) 4.83655 2.79238i 0.729137 0.420967i
\(45\) −1.85243 + 10.4174i −0.276144 + 1.55293i
\(46\) 2.26115 + 3.91643i 0.333389 + 0.577446i
\(47\) 1.96371 + 3.40124i 0.286436 + 0.496122i 0.972956 0.230989i \(-0.0741961\pi\)
−0.686520 + 0.727110i \(0.740863\pi\)
\(48\) −1.32763 + 1.11238i −0.191627 + 0.160558i
\(49\) −2.75022 + 6.43710i −0.392889 + 0.919586i
\(50\) 6.44257 3.71962i 0.911118 0.526034i
\(51\) −0.823876 4.69231i −0.115366 0.657055i
\(52\) 3.57593 0.461204i 0.495893 0.0639574i
\(53\) −9.33624 5.39028i −1.28243 0.740412i −0.305139 0.952308i \(-0.598703\pi\)
−0.977292 + 0.211896i \(0.932036\pi\)
\(54\) 0.0112934 5.19614i 0.00153683 0.707105i
\(55\) 17.0582 9.84854i 2.30012 1.32798i
\(56\) 2.20797 1.45770i 0.295052 0.194793i
\(57\) −4.29128 + 11.7637i −0.568395 + 1.55814i
\(58\) 0.546524 0.0717621
\(59\) 3.71440 + 6.43353i 0.483574 + 0.837574i 0.999822 0.0188647i \(-0.00600517\pi\)
−0.516248 + 0.856439i \(0.672672\pi\)
\(60\) −4.68247 + 3.92329i −0.604505 + 0.506494i
\(61\) 12.4949i 1.59981i −0.600124 0.799907i \(-0.704882\pi\)
0.600124 0.799907i \(-0.295118\pi\)
\(62\) 0.722302 + 1.25106i 0.0917324 + 0.158885i
\(63\) −0.919194 + 7.88385i −0.115808 + 0.993272i
\(64\) −1.00000 −0.125000
\(65\) 12.6121 1.62663i 1.56433 0.201759i
\(66\) −7.41452 + 6.21237i −0.912664 + 0.764690i
\(67\) −10.5200 −1.28522 −0.642608 0.766195i \(-0.722148\pi\)
−0.642608 + 0.766195i \(0.722148\pi\)
\(68\) 1.37527 2.38204i 0.166776 0.288865i
\(69\) −5.03052 6.00397i −0.605603 0.722793i
\(70\) 7.78734 5.14121i 0.930765 0.614492i
\(71\) 1.01248 + 0.584557i 0.120159 + 0.0693741i 0.558875 0.829252i \(-0.311233\pi\)
−0.438716 + 0.898626i \(0.644566\pi\)
\(72\) 1.93169 2.29534i 0.227652 0.270508i
\(73\) 11.2019 + 6.46743i 1.31109 + 0.756956i 0.982276 0.187441i \(-0.0600192\pi\)
0.328810 + 0.944396i \(0.393353\pi\)
\(74\) −2.34212 + 1.35222i −0.272266 + 0.157193i
\(75\) −9.87659 + 8.27526i −1.14045 + 0.955545i
\(76\) −6.26098 + 3.61478i −0.718183 + 0.414643i
\(77\) 12.3310 8.14091i 1.40524 0.927742i
\(78\) −5.96223 + 1.85790i −0.675090 + 0.210365i
\(79\) −4.47939 7.75854i −0.503971 0.872904i −0.999989 0.00459152i \(-0.998538\pi\)
0.496018 0.868312i \(-0.334795\pi\)
\(80\) −3.52693 −0.394323
\(81\) 1.53714 + 8.86776i 0.170794 + 0.985307i
\(82\) 7.26124i 0.801870i
\(83\) 3.92570 0.430901 0.215451 0.976515i \(-0.430878\pi\)
0.215451 + 0.976515i \(0.430878\pi\)
\(84\) −3.33006 + 3.14812i −0.363339 + 0.343489i
\(85\) 4.85050 8.40131i 0.526110 0.911249i
\(86\) −0.122965 + 0.0709937i −0.0132596 + 0.00765544i
\(87\) −0.932345 + 0.163701i −0.0999578 + 0.0175506i
\(88\) −5.58476 −0.595338
\(89\) 0.677113 1.17279i 0.0717739 0.124316i −0.827905 0.560868i \(-0.810467\pi\)
0.899679 + 0.436552i \(0.143801\pi\)
\(90\) 6.81294 8.09550i 0.718147 0.853340i
\(91\) 9.37099 1.78455i 0.982346 0.187071i
\(92\) 4.52231i 0.471483i
\(93\) −1.60695 1.91790i −0.166633 0.198877i
\(94\) 3.92741i 0.405082i
\(95\) −22.0820 + 12.7491i −2.26557 + 1.30803i
\(96\) 1.70595 0.299532i 0.174113 0.0305708i
\(97\) 11.1130 + 6.41610i 1.12836 + 0.651456i 0.943521 0.331313i \(-0.107492\pi\)
0.184835 + 0.982770i \(0.440825\pi\)
\(98\) 5.60031 4.19958i 0.565717 0.424222i
\(99\) 10.7880 12.8189i 1.08424 1.28835i
\(100\) −7.43924 −0.743924
\(101\) −7.73029 −0.769192 −0.384596 0.923085i \(-0.625659\pi\)
−0.384596 + 0.923085i \(0.625659\pi\)
\(102\) −1.63266 + 4.47560i −0.161657 + 0.443150i
\(103\) −2.85313 + 1.64725i −0.281127 + 0.162309i −0.633933 0.773388i \(-0.718561\pi\)
0.352807 + 0.935696i \(0.385227\pi\)
\(104\) −3.32745 1.38855i −0.326283 0.136159i
\(105\) −11.7449 + 11.1032i −1.14618 + 1.08356i
\(106\) 5.39028 + 9.33624i 0.523550 + 0.906815i
\(107\) 1.30919 + 0.755862i 0.126564 + 0.0730719i 0.561945 0.827174i \(-0.310053\pi\)
−0.435381 + 0.900246i \(0.643386\pi\)
\(108\) −2.60785 + 4.49434i −0.250941 + 0.432468i
\(109\) 5.99142 10.3775i 0.573874 0.993979i −0.422289 0.906461i \(-0.638773\pi\)
0.996163 0.0875181i \(-0.0278935\pi\)
\(110\) −19.6971 −1.87804
\(111\) 3.59051 3.00837i 0.340796 0.285542i
\(112\) −2.64100 + 0.158422i −0.249551 + 0.0149695i
\(113\) −3.57873 2.06618i −0.336659 0.194370i 0.322135 0.946694i \(-0.395600\pi\)
−0.658793 + 0.752324i \(0.728933\pi\)
\(114\) 9.59820 8.04201i 0.898954 0.753203i
\(115\) 15.9499i 1.48733i
\(116\) −0.473303 0.273262i −0.0439451 0.0253717i
\(117\) 9.61480 4.95537i 0.888888 0.458124i
\(118\) 7.42880i 0.683877i
\(119\) 3.25473 6.50886i 0.298361 0.596666i
\(120\) 6.01678 1.05643i 0.549255 0.0964382i
\(121\) −20.1896 −1.83542
\(122\) −6.24747 + 10.8209i −0.565620 + 0.979682i
\(123\) −2.17497 12.3873i −0.196111 1.11693i
\(124\) 1.44460i 0.129729i
\(125\) −8.60304 −0.769480
\(126\) 4.73797 6.36802i 0.422092 0.567308i
\(127\) 2.29973 + 3.98324i 0.204068 + 0.353456i 0.949835 0.312751i \(-0.101250\pi\)
−0.745768 + 0.666206i \(0.767917\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 0.188507 0.157944i 0.0165971 0.0139062i
\(130\) −11.7357 4.89733i −1.02929 0.429524i
\(131\) 2.02661 + 3.51018i 0.177065 + 0.306686i 0.940874 0.338756i \(-0.110006\pi\)
−0.763809 + 0.645443i \(0.776673\pi\)
\(132\) 9.52735 1.67281i 0.829249 0.145600i
\(133\) −15.9626 + 10.5385i −1.38413 + 0.913806i
\(134\) 9.11054 + 5.25998i 0.787031 + 0.454393i
\(135\) −9.19771 + 15.8512i −0.791613 + 1.36426i
\(136\) −2.38204 + 1.37527i −0.204259 + 0.117929i
\(137\) 2.30652 1.33167i 0.197060 0.113772i −0.398224 0.917288i \(-0.630373\pi\)
0.595283 + 0.803516i \(0.297040\pi\)
\(138\) 1.35457 + 7.71485i 0.115309 + 0.656731i
\(139\) −12.6149 7.28322i −1.06998 0.617755i −0.141806 0.989894i \(-0.545291\pi\)
−0.928177 + 0.372139i \(0.878624\pi\)
\(140\) −9.31464 + 0.558744i −0.787231 + 0.0472225i
\(141\) 1.17638 + 6.69999i 0.0990694 + 0.564241i
\(142\) −0.584557 1.01248i −0.0490549 0.0849656i
\(143\) −18.5830 7.75473i −1.55399 0.648483i
\(144\) −2.82056 + 1.02197i −0.235047 + 0.0851646i
\(145\) −1.66931 0.963776i −0.138629 0.0800372i
\(146\) −6.46743 11.2019i −0.535248 0.927077i
\(147\) −8.29597 + 8.84177i −0.684240 + 0.729257i
\(148\) 2.70444 0.222304
\(149\) 7.06203i 0.578544i 0.957247 + 0.289272i \(0.0934132\pi\)
−0.957247 + 0.289272i \(0.906587\pi\)
\(150\) 12.6910 2.22829i 1.03622 0.181939i
\(151\) −0.381853 + 0.661388i −0.0310747 + 0.0538230i −0.881145 0.472847i \(-0.843226\pi\)
0.850070 + 0.526670i \(0.176560\pi\)
\(152\) 7.22955 0.586394
\(153\) 1.44466 8.12420i 0.116793 0.656802i
\(154\) −14.7494 + 0.884750i −1.18854 + 0.0712952i
\(155\) 5.09502i 0.409242i
\(156\) 6.09239 + 1.37213i 0.487782 + 0.109858i
\(157\) −13.9268 8.04062i −1.11148 0.641711i −0.172265 0.985051i \(-0.555108\pi\)
−0.939211 + 0.343340i \(0.888442\pi\)
\(158\) 8.95879i 0.712723i
\(159\) −11.9921 14.3126i −0.951033 1.13507i
\(160\) 3.05441 + 1.76347i 0.241472 + 0.139414i
\(161\) −0.716434 11.9434i −0.0564629 0.941274i
\(162\) 3.10268 8.44828i 0.243769 0.663759i
\(163\) 7.19256 0.563365 0.281682 0.959508i \(-0.409108\pi\)
0.281682 + 0.959508i \(0.409108\pi\)
\(164\) 3.63062 6.28842i 0.283504 0.491043i
\(165\) 33.6023 5.89990i 2.61594 0.459306i
\(166\) −3.39976 1.96285i −0.263872 0.152347i
\(167\) −3.75042 6.49592i −0.290216 0.502669i 0.683644 0.729815i \(-0.260394\pi\)
−0.973861 + 0.227146i \(0.927061\pi\)
\(168\) 4.45798 1.06133i 0.343941 0.0818830i
\(169\) −9.14385 9.24067i −0.703373 0.710821i
\(170\) −8.40131 + 4.85050i −0.644351 + 0.372016i
\(171\) −13.9653 + 16.5943i −1.06795 + 1.26900i
\(172\) 0.141987 0.0108264
\(173\) 22.0661 1.67765 0.838827 0.544398i \(-0.183242\pi\)
0.838827 + 0.544398i \(0.183242\pi\)
\(174\) 0.889285 + 0.324403i 0.0674165 + 0.0245929i
\(175\) −19.6471 + 1.17854i −1.48518 + 0.0890894i
\(176\) 4.83655 + 2.79238i 0.364568 + 0.210484i
\(177\) 2.22516 + 12.6732i 0.167253 + 0.952576i
\(178\) −1.17279 + 0.677113i −0.0879047 + 0.0507518i
\(179\) 11.1282i 0.831761i 0.909419 + 0.415881i \(0.136527\pi\)
−0.909419 + 0.415881i \(0.863473\pi\)
\(180\) −9.94793 + 3.60443i −0.741475 + 0.268659i
\(181\) 3.28580i 0.244232i 0.992516 + 0.122116i \(0.0389680\pi\)
−0.992516 + 0.122116i \(0.961032\pi\)
\(182\) −9.00779 3.14003i −0.667702 0.232754i
\(183\) 7.41669 20.3313i 0.548257 1.50294i
\(184\) −2.26115 + 3.91643i −0.166694 + 0.288723i
\(185\) 9.53838 0.701276
\(186\) 0.432704 + 2.46443i 0.0317274 + 0.180701i
\(187\) −13.3031 + 7.68058i −0.972823 + 0.561659i
\(188\) −1.96371 + 3.40124i −0.143218 + 0.248061i
\(189\) −6.17534 + 12.2827i −0.449190 + 0.893436i
\(190\) 25.4981 1.84983
\(191\) 2.26934i 0.164204i −0.996624 0.0821018i \(-0.973837\pi\)
0.996624 0.0821018i \(-0.0261633\pi\)
\(192\) −1.62717 0.593575i −0.117431 0.0428376i
\(193\) 16.0127 1.15262 0.576311 0.817231i \(-0.304492\pi\)
0.576311 + 0.817231i \(0.304492\pi\)
\(194\) −6.41610 11.1130i −0.460649 0.797868i
\(195\) 21.4875 + 4.83941i 1.53875 + 0.346557i
\(196\) −6.94980 + 0.836788i −0.496415 + 0.0597705i
\(197\) 20.3601 11.7549i 1.45060 0.837503i 0.452083 0.891976i \(-0.350681\pi\)
0.998515 + 0.0544726i \(0.0173478\pi\)
\(198\) −15.7522 + 5.70749i −1.11946 + 0.405613i
\(199\) 3.78078 2.18284i 0.268013 0.154737i −0.359972 0.932963i \(-0.617214\pi\)
0.627984 + 0.778226i \(0.283880\pi\)
\(200\) 6.44257 + 3.71962i 0.455559 + 0.263017i
\(201\) −17.1177 6.24438i −1.20739 0.440445i
\(202\) 6.69463 + 3.86514i 0.471032 + 0.271951i
\(203\) −1.29329 0.646704i −0.0907710 0.0453897i
\(204\) 3.65172 3.05965i 0.255672 0.214218i
\(205\) 12.8050 22.1788i 0.894337 1.54904i
\(206\) 3.29451 0.229539
\(207\) −4.62168 12.7554i −0.321229 0.886564i
\(208\) 2.18738 + 2.86625i 0.151668 + 0.198738i
\(209\) 40.3753 2.79282
\(210\) 15.7230 3.74322i 1.08499 0.258307i
\(211\) 2.97744 + 5.15707i 0.204975 + 0.355028i 0.950125 0.311870i \(-0.100955\pi\)
−0.745150 + 0.666897i \(0.767622\pi\)
\(212\) 10.7806i 0.740412i
\(213\) 1.30050 + 1.55215i 0.0891086 + 0.106352i
\(214\) −0.755862 1.30919i −0.0516697 0.0894945i
\(215\) 0.500779 0.0341529
\(216\) 4.50564 2.58829i 0.306570 0.176111i
\(217\) −0.228857 3.81520i −0.0155358 0.258993i
\(218\) −10.3775 + 5.99142i −0.702850 + 0.405790i
\(219\) 14.3885 + 17.1728i 0.972283 + 1.16043i
\(220\) 17.0582 + 9.84854i 1.15006 + 0.663988i
\(221\) −9.83577 + 1.26856i −0.661626 + 0.0853328i
\(222\) −4.61366 + 0.810066i −0.309648 + 0.0543681i
\(223\) −7.80461 + 4.50599i −0.522635 + 0.301744i −0.738012 0.674787i \(-0.764235\pi\)
0.215377 + 0.976531i \(0.430902\pi\)
\(224\) 2.36639 + 1.18330i 0.158111 + 0.0790628i
\(225\) −20.9828 + 7.60272i −1.39886 + 0.506848i
\(226\) 2.06618 + 3.57873i 0.137440 + 0.238054i
\(227\) −12.6033 21.8296i −0.836511 1.44888i −0.892794 0.450465i \(-0.851258\pi\)
0.0562831 0.998415i \(-0.482075\pi\)
\(228\) −12.3333 + 2.16548i −0.816792 + 0.143412i
\(229\) −6.18369 + 3.57015i −0.408630 + 0.235922i −0.690201 0.723618i \(-0.742478\pi\)
0.281571 + 0.959540i \(0.409144\pi\)
\(230\) −7.97493 + 13.8130i −0.525851 + 0.910801i
\(231\) 24.8968 5.92725i 1.63809 0.389984i
\(232\) 0.273262 + 0.473303i 0.0179405 + 0.0310739i
\(233\) −18.7499 + 10.8253i −1.22835 + 0.709187i −0.966684 0.255972i \(-0.917605\pi\)
−0.261664 + 0.965159i \(0.584271\pi\)
\(234\) −10.8043 0.515927i −0.706302 0.0337272i
\(235\) −6.92586 + 11.9959i −0.451793 + 0.782528i
\(236\) −3.71440 + 6.43353i −0.241787 + 0.418787i
\(237\) −2.68344 15.2833i −0.174308 0.992756i
\(238\) −6.07311 + 4.00947i −0.393661 + 0.259895i
\(239\) 23.2948i 1.50682i 0.657552 + 0.753409i \(0.271592\pi\)
−0.657552 + 0.753409i \(0.728408\pi\)
\(240\) −5.73890 2.09350i −0.370445 0.135135i
\(241\) 0.810506 0.467946i 0.0522093 0.0301431i −0.473668 0.880703i \(-0.657070\pi\)
0.525877 + 0.850560i \(0.323737\pi\)
\(242\) 17.4847 + 10.0948i 1.12396 + 0.648917i
\(243\) −2.76250 + 15.3417i −0.177214 + 0.984172i
\(244\) 10.8209 6.24747i 0.692740 0.399953i
\(245\) −24.5115 + 2.95129i −1.56598 + 0.188551i
\(246\) −4.31009 + 11.8152i −0.274802 + 0.753312i
\(247\) 24.0560 + 10.0386i 1.53065 + 0.638742i
\(248\) −0.722302 + 1.25106i −0.0458662 + 0.0794426i
\(249\) 6.38776 + 2.33020i 0.404808 + 0.147670i
\(250\) 7.45045 + 4.30152i 0.471208 + 0.272052i
\(251\) −12.4011 + 21.4793i −0.782748 + 1.35576i 0.147587 + 0.989049i \(0.452849\pi\)
−0.930335 + 0.366711i \(0.880484\pi\)
\(252\) −7.28721 + 3.14588i −0.459051 + 0.198172i
\(253\) −12.6280 + 21.8723i −0.793916 + 1.37510i
\(254\) 4.59945i 0.288595i
\(255\) 12.8794 10.7912i 0.806537 0.675770i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 14.2108 24.6139i 0.886448 1.53537i 0.0424030 0.999101i \(-0.486499\pi\)
0.844045 0.536272i \(-0.180168\pi\)
\(258\) −0.242224 + 0.0425297i −0.0150802 + 0.00264778i
\(259\) 7.14245 0.428444i 0.443810 0.0266222i
\(260\) 7.71474 + 10.1091i 0.478448 + 0.626937i
\(261\) −1.61425 0.287048i −0.0999195 0.0177678i
\(262\) 4.05321i 0.250408i
\(263\) 12.8091i 0.789844i 0.918715 + 0.394922i \(0.129228\pi\)
−0.918715 + 0.394922i \(0.870772\pi\)
\(264\) −9.08733 3.31498i −0.559287 0.204023i
\(265\) 38.0223i 2.33569i
\(266\) 19.0933 1.14532i 1.17068 0.0702242i
\(267\) 1.79792 1.50641i 0.110031 0.0921910i
\(268\) −5.25998 9.11054i −0.321304 0.556515i
\(269\) −2.73526 4.73762i −0.166772 0.288858i 0.770511 0.637427i \(-0.220001\pi\)
−0.937283 + 0.348569i \(0.886668\pi\)
\(270\) 15.8911 9.12872i 0.967100 0.555556i
\(271\) 3.90906 + 2.25690i 0.237458 + 0.137097i 0.614008 0.789300i \(-0.289556\pi\)
−0.376550 + 0.926396i \(0.622890\pi\)
\(272\) 2.75055 0.166776
\(273\) 16.3074 + 2.65863i 0.986969 + 0.160908i
\(274\) −2.66334 −0.160898
\(275\) 35.9802 + 20.7732i 2.16969 + 1.25267i
\(276\) 2.68433 7.35854i 0.161578 0.442932i
\(277\) 1.38293 + 2.39530i 0.0830922 + 0.143920i 0.904577 0.426311i \(-0.140187\pi\)
−0.821484 + 0.570231i \(0.806854\pi\)
\(278\) 7.28322 + 12.6149i 0.436819 + 0.756592i
\(279\) −1.47635 4.07459i −0.0883866 0.243939i
\(280\) 8.34609 + 4.17343i 0.498774 + 0.249410i
\(281\) 4.56102i 0.272088i 0.990703 + 0.136044i \(0.0434388\pi\)
−0.990703 + 0.136044i \(0.956561\pi\)
\(282\) 2.33121 6.39055i 0.138822 0.380552i
\(283\) 10.8625i 0.645711i −0.946448 0.322855i \(-0.895357\pi\)
0.946448 0.322855i \(-0.104643\pi\)
\(284\) 1.16911i 0.0693741i
\(285\) −43.4987 + 7.63750i −2.57664 + 0.452406i
\(286\) 12.2160 + 16.0073i 0.722347 + 0.946532i
\(287\) 8.59226 17.1829i 0.507185 1.01428i
\(288\) 2.95367 + 0.525225i 0.174046 + 0.0309492i
\(289\) 4.71724 8.17051i 0.277485 0.480618i
\(290\) 0.963776 + 1.66931i 0.0565949 + 0.0980252i
\(291\) 14.2743 + 17.0365i 0.836773 + 0.998696i
\(292\) 12.9349i 0.756956i
\(293\) 2.27824 3.94604i 0.133096 0.230530i −0.791772 0.610816i \(-0.790841\pi\)
0.924869 + 0.380287i \(0.124175\pi\)
\(294\) 11.6054 3.50921i 0.676841 0.204661i
\(295\) −13.1004 + 22.6906i −0.762737 + 1.32110i
\(296\) −2.34212 1.35222i −0.136133 0.0785963i
\(297\) 25.1629 14.4550i 1.46010 0.838763i
\(298\) 3.53101 6.11590i 0.204546 0.354284i
\(299\) −12.9620 + 9.89200i −0.749614 + 0.572069i
\(300\) −12.1049 4.41575i −0.698876 0.254943i
\(301\) 0.374989 0.0224939i 0.0216140 0.00129653i
\(302\) 0.661388 0.381853i 0.0380586 0.0219731i
\(303\) −12.5785 4.58851i −0.722614 0.263603i
\(304\) −6.26098 3.61478i −0.359092 0.207322i
\(305\) 38.1647 22.0344i 2.18530 1.26169i
\(306\) −5.31321 + 6.31343i −0.303736 + 0.360915i
\(307\) 14.2501i 0.813298i 0.913584 + 0.406649i \(0.133303\pi\)
−0.913584 + 0.406649i \(0.866697\pi\)
\(308\) 13.2157 + 6.60847i 0.753035 + 0.376553i
\(309\) −5.62028 + 0.986809i −0.319727 + 0.0561376i
\(310\) −2.54751 + 4.41241i −0.144689 + 0.250608i
\(311\) −9.01815 + 15.6199i −0.511372 + 0.885723i 0.488541 + 0.872541i \(0.337529\pi\)
−0.999913 + 0.0131816i \(0.995804\pi\)
\(312\) −4.59010 4.23450i −0.259863 0.239731i
\(313\) 18.1151 10.4587i 1.02392 0.591163i 0.108686 0.994076i \(-0.465336\pi\)
0.915238 + 0.402913i \(0.132002\pi\)
\(314\) 8.04062 + 13.9268i 0.453758 + 0.785932i
\(315\) −25.7015 + 11.0953i −1.44812 + 0.625149i
\(316\) 4.47939 7.75854i 0.251986 0.436452i
\(317\) −12.2233 + 7.05711i −0.686528 + 0.396367i −0.802310 0.596908i \(-0.796396\pi\)
0.115782 + 0.993275i \(0.463063\pi\)
\(318\) 3.22912 + 18.3911i 0.181080 + 1.03132i
\(319\) 1.52610 + 2.64329i 0.0854453 + 0.147996i
\(320\) −1.76347 3.05441i −0.0985807 0.170747i
\(321\) 1.68161 + 2.00702i 0.0938583 + 0.112021i
\(322\) −5.35126 + 10.7015i −0.298214 + 0.596373i
\(323\) 17.2211 9.94262i 0.958209 0.553222i
\(324\) −6.91114 + 5.76509i −0.383952 + 0.320283i
\(325\) 16.2725 + 21.3227i 0.902633 + 1.18277i
\(326\) −6.22894 3.59628i −0.344989 0.199180i
\(327\) 15.9088 13.3295i 0.879761 0.737121i
\(328\) −6.28842 + 3.63062i −0.347220 + 0.200468i
\(329\) −4.64732 + 9.29378i −0.256215 + 0.512383i
\(330\) −32.0504 11.6917i −1.76432 0.643607i
\(331\) 2.33255 0.128209 0.0641043 0.997943i \(-0.479581\pi\)
0.0641043 + 0.997943i \(0.479581\pi\)
\(332\) 1.96285 + 3.39976i 0.107725 + 0.186586i
\(333\) 7.62805 2.76387i 0.418014 0.151459i
\(334\) 7.50084i 0.410428i
\(335\) −18.5516 32.1323i −1.01358 1.75557i
\(336\) −4.39139 1.30986i −0.239570 0.0714585i
\(337\) 33.7268 1.83722 0.918609 0.395168i \(-0.129313\pi\)
0.918609 + 0.395168i \(0.129313\pi\)
\(338\) 3.29847 + 12.5746i 0.179413 + 0.683967i
\(339\) −4.59675 5.48626i −0.249661 0.297973i
\(340\) 9.70099 0.526110
\(341\) −4.03388 + 6.98689i −0.218447 + 0.378361i
\(342\) 20.3914 7.38842i 1.10264 0.399520i
\(343\) −18.2219 + 3.31096i −0.983890 + 0.178775i
\(344\) −0.122965 0.0709937i −0.00662981 0.00382772i
\(345\) 9.46744 25.9531i 0.509710 1.39727i
\(346\) −19.1098 11.0331i −1.02735 0.593140i
\(347\) 2.56323 1.47988i 0.137602 0.0794443i −0.429619 0.903010i \(-0.641352\pi\)
0.567220 + 0.823566i \(0.308019\pi\)
\(348\) −0.607942 0.725584i −0.0325891 0.0388954i
\(349\) 7.78741 4.49606i 0.416851 0.240669i −0.276878 0.960905i \(-0.589300\pi\)
0.693729 + 0.720236i \(0.255967\pi\)
\(350\) 17.6041 + 8.80289i 0.940981 + 0.470534i
\(351\) 18.5863 2.35609i 0.992061 0.125759i
\(352\) −2.79238 4.83655i −0.148834 0.257789i
\(353\) −15.6323 −0.832022 −0.416011 0.909360i \(-0.636572\pi\)
−0.416011 + 0.909360i \(0.636572\pi\)
\(354\) 4.40955 12.0879i 0.234365 0.642464i
\(355\) 4.12338i 0.218846i
\(356\) 1.35423 0.0717739
\(357\) 9.15949 8.65907i 0.484772 0.458286i
\(358\) 5.56410 9.63731i 0.294072 0.509348i
\(359\) −7.17996 + 4.14535i −0.378944 + 0.218783i −0.677359 0.735653i \(-0.736875\pi\)
0.298415 + 0.954436i \(0.403542\pi\)
\(360\) 10.4174 + 1.85243i 0.549044 + 0.0976317i
\(361\) −33.2665 −1.75087
\(362\) 1.64290 2.84559i 0.0863490 0.149561i
\(363\) −32.8518 11.9840i −1.72427 0.628998i
\(364\) 6.23096 + 7.22324i 0.326591 + 0.378601i
\(365\) 45.6204i 2.38788i
\(366\) −16.5887 + 13.8991i −0.867106 + 0.726519i
\(367\) 27.4310i 1.43189i −0.698159 0.715943i \(-0.745997\pi\)
0.698159 0.715943i \(-0.254003\pi\)
\(368\) 3.91643 2.26115i 0.204158 0.117871i
\(369\) 3.81378 21.4473i 0.198538 1.11650i
\(370\) −8.26048 4.76919i −0.429442 0.247939i
\(371\) −1.70788 28.4715i −0.0886687 1.47817i
\(372\) 0.857481 2.35061i 0.0444583 0.121873i
\(373\) 33.1534 1.71662 0.858308 0.513135i \(-0.171516\pi\)
0.858308 + 0.513135i \(0.171516\pi\)
\(374\) 15.3612 0.794306
\(375\) −13.9986 5.10655i −0.722884 0.263701i
\(376\) 3.40124 1.96371i 0.175405 0.101270i
\(377\) 0.252059 + 1.95433i 0.0129817 + 0.100653i
\(378\) 11.4894 7.54948i 0.590949 0.388303i
\(379\) 8.65643 + 14.9934i 0.444651 + 0.770158i 0.998028 0.0627730i \(-0.0199944\pi\)
−0.553377 + 0.832931i \(0.686661\pi\)
\(380\) −22.0820 12.7491i −1.13278 0.654014i
\(381\) 1.37768 + 7.84646i 0.0705808 + 0.401986i
\(382\) −1.13467 + 1.96531i −0.0580547 + 0.100554i
\(383\) −11.9845 −0.612380 −0.306190 0.951970i \(-0.599054\pi\)
−0.306190 + 0.951970i \(0.599054\pi\)
\(384\) 1.11238 + 1.32763i 0.0567659 + 0.0677505i
\(385\) 46.6109 + 23.3076i 2.37551 + 1.18787i
\(386\) −13.8674 8.00636i −0.705833 0.407513i
\(387\) 0.400484 0.145107i 0.0203577 0.00737623i
\(388\) 12.8322i 0.651456i
\(389\) −6.65966 3.84496i −0.337658 0.194947i 0.321578 0.946883i \(-0.395787\pi\)
−0.659236 + 0.751936i \(0.729120\pi\)
\(390\) −16.1890 14.9348i −0.819761 0.756252i
\(391\) 12.4388i 0.629058i
\(392\) 6.43710 + 2.75022i 0.325123 + 0.138907i
\(393\) 1.21406 + 6.91459i 0.0612415 + 0.348795i
\(394\) −23.5098 −1.18441
\(395\) 15.7985 27.3638i 0.794909 1.37682i
\(396\) 16.4955 + 2.93326i 0.828931 + 0.147402i
\(397\) 2.01403i 0.101081i 0.998722 + 0.0505407i \(0.0160945\pi\)
−0.998722 + 0.0505407i \(0.983906\pi\)
\(398\) −4.36567 −0.218831
\(399\) −32.2292 + 7.67291i −1.61348 + 0.384126i
\(400\) −3.71962 6.44257i −0.185981 0.322129i
\(401\) −25.6675 14.8191i −1.28177 0.740033i −0.304602 0.952480i \(-0.598523\pi\)
−0.977173 + 0.212447i \(0.931857\pi\)
\(402\) 11.7022 + 13.9666i 0.583651 + 0.696593i
\(403\) −4.14059 + 3.15990i −0.206257 + 0.157406i
\(404\) −3.86514 6.69463i −0.192298 0.333070i
\(405\) −24.3751 + 20.3331i −1.21121 + 1.01036i
\(406\) 0.796668 + 1.20671i 0.0395379 + 0.0598878i
\(407\) −13.0802 7.55184i −0.648360 0.374331i
\(408\) −4.69231 + 0.823876i −0.232304 + 0.0407879i
\(409\) −19.6394 + 11.3388i −0.971105 + 0.560668i −0.899573 0.436770i \(-0.856122\pi\)
−0.0715323 + 0.997438i \(0.522789\pi\)
\(410\) −22.1788 + 12.8050i −1.09533 + 0.632391i
\(411\) 4.54354 0.797756i 0.224116 0.0393504i
\(412\) −2.85313 1.64725i −0.140563 0.0811544i
\(413\) −8.79053 + 17.5794i −0.432554 + 0.865027i
\(414\) −2.37523 + 13.3574i −0.116736 + 0.656479i
\(415\) 6.92284 + 11.9907i 0.339829 + 0.588600i
\(416\) −0.461204 3.57593i −0.0226124 0.175325i
\(417\) −16.2034 19.3389i −0.793485 0.947031i
\(418\) −34.9661 20.1877i −1.71025 0.987411i
\(419\) −2.01719 3.49388i −0.0985463 0.170687i 0.812537 0.582910i \(-0.198086\pi\)
−0.911083 + 0.412223i \(0.864753\pi\)
\(420\) −15.4881 4.61977i −0.755743 0.225422i
\(421\) −7.21848 −0.351807 −0.175904 0.984407i \(-0.556285\pi\)
−0.175904 + 0.984407i \(0.556285\pi\)
\(422\) 5.95488i 0.289879i
\(423\) −2.06277 + 11.6003i −0.100295 + 0.564024i
\(424\) −5.39028 + 9.33624i −0.261775 + 0.453408i
\(425\) 20.4620 0.992552
\(426\) −0.350186 1.99445i −0.0169666 0.0966316i
\(427\) 27.5884 18.2139i 1.33510 0.881431i
\(428\) 1.51172i 0.0730719i
\(429\) −25.6346 23.6487i −1.23765 1.14177i
\(430\) −0.433688 0.250390i −0.0209143 0.0120749i
\(431\) 18.4030i 0.886440i 0.896413 + 0.443220i \(0.146164\pi\)
−0.896413 + 0.443220i \(0.853836\pi\)
\(432\) −5.19614 0.0112934i −0.249999 0.000543352i
\(433\) −1.86816 1.07858i −0.0897781 0.0518334i 0.454439 0.890778i \(-0.349840\pi\)
−0.544217 + 0.838945i \(0.683173\pi\)
\(434\) −1.70941 + 3.41849i −0.0820541 + 0.164093i
\(435\) −2.14417 2.55908i −0.102805 0.122699i
\(436\) 11.9828 0.573874
\(437\) 16.3471 28.3141i 0.781989 1.35444i
\(438\) −3.87440 22.0663i −0.185126 1.05437i
\(439\) −31.1263 17.9708i −1.48558 0.857699i −0.485713 0.874118i \(-0.661440\pi\)
−0.999865 + 0.0164188i \(0.994773\pi\)
\(440\) −9.84854 17.0582i −0.469511 0.813216i
\(441\) −18.7472 + 9.46274i −0.892723 + 0.450606i
\(442\) 9.15231 + 3.81928i 0.435331 + 0.181665i
\(443\) −12.0373 + 6.94972i −0.571908 + 0.330191i −0.757911 0.652358i \(-0.773780\pi\)
0.186003 + 0.982549i \(0.440447\pi\)
\(444\) 4.40058 + 1.60529i 0.208842 + 0.0761837i
\(445\) 4.77626 0.226417
\(446\) 9.01198 0.426730
\(447\) −4.19185 + 11.4911i −0.198268 + 0.543510i
\(448\) −1.45770 2.20797i −0.0688698 0.104317i
\(449\) 7.01192 + 4.04833i 0.330913 + 0.191053i 0.656246 0.754547i \(-0.272143\pi\)
−0.325333 + 0.945599i \(0.605477\pi\)
\(450\) 21.9730 + 3.90727i 1.03582 + 0.184191i
\(451\) −35.1193 + 20.2762i −1.65370 + 0.954767i
\(452\) 4.13236i 0.194370i
\(453\) −1.01392 + 0.849530i −0.0476382 + 0.0399144i
\(454\) 25.2066i 1.18301i
\(455\) 21.9762 + 25.4759i 1.03026 + 1.19433i
\(456\) 11.7637 + 4.29128i 0.550885 + 0.200958i
\(457\) 7.49317 12.9786i 0.350516 0.607111i −0.635824 0.771834i \(-0.719340\pi\)
0.986340 + 0.164723i \(0.0526730\pi\)
\(458\) 7.14031 0.333645
\(459\) 7.17302 12.3619i 0.334808 0.577004i
\(460\) 13.8130 7.97493i 0.644034 0.371833i
\(461\) −19.1448 + 33.1598i −0.891662 + 1.54440i −0.0537801 + 0.998553i \(0.517127\pi\)
−0.837882 + 0.545851i \(0.816206\pi\)
\(462\) −24.5249 7.31523i −1.14100 0.340335i
\(463\) −33.6387 −1.56333 −0.781663 0.623702i \(-0.785628\pi\)
−0.781663 + 0.623702i \(0.785628\pi\)
\(464\) 0.546524i 0.0253717i
\(465\) 3.02428 8.29044i 0.140247 0.384460i
\(466\) 21.6505 1.00294
\(467\) 19.5650 + 33.8876i 0.905362 + 1.56813i 0.820431 + 0.571746i \(0.193734\pi\)
0.0849307 + 0.996387i \(0.472933\pi\)
\(468\) 9.09887 + 5.84898i 0.420595 + 0.270369i
\(469\) −15.3349 23.2277i −0.708101 1.07255i
\(470\) 11.9959 6.92586i 0.553331 0.319466i
\(471\) −17.8884 21.3500i −0.824255 0.983756i
\(472\) 6.43353 3.71440i 0.296127 0.170969i
\(473\) −0.686728 0.396483i −0.0315758 0.0182303i
\(474\) −5.31771 + 14.5774i −0.244251 + 0.669564i
\(475\) −46.5769 26.8912i −2.13710 1.23385i
\(476\) 7.26421 0.435748i 0.332954 0.0199725i
\(477\) −11.0175 30.4072i −0.504455 1.39225i
\(478\) 11.6474 20.1739i 0.532741 0.922734i
\(479\) −8.01010 −0.365991 −0.182996 0.983114i \(-0.558579\pi\)
−0.182996 + 0.983114i \(0.558579\pi\)
\(480\) 3.92329 + 4.68247i 0.179073 + 0.213725i
\(481\) −5.91565 7.75160i −0.269730 0.353443i
\(482\) −0.935892 −0.0426287
\(483\) 5.92357 19.8592i 0.269532 0.903625i
\(484\) −10.0948 17.4847i −0.458854 0.794758i
\(485\) 45.2583i 2.05507i
\(486\) 10.0633 11.9051i 0.456479 0.540025i
\(487\) −7.66284 13.2724i −0.347236 0.601431i 0.638521 0.769604i \(-0.279547\pi\)
−0.985757 + 0.168173i \(0.946213\pi\)
\(488\) −12.4949 −0.565620
\(489\) 11.7035 + 4.26933i 0.529250 + 0.193066i
\(490\) 22.7032 + 9.69985i 1.02563 + 0.438194i
\(491\) 13.6930 7.90566i 0.617956 0.356777i −0.158116 0.987420i \(-0.550542\pi\)
0.776073 + 0.630643i \(0.217209\pi\)
\(492\) 9.64027 8.07726i 0.434617 0.364151i
\(493\) 1.30184 + 0.751620i 0.0586321 + 0.0338513i
\(494\) −15.8138 20.7217i −0.711496 0.932313i
\(495\) 58.1786 + 10.3454i 2.61493 + 0.464991i
\(496\) 1.25106 0.722302i 0.0561744 0.0324323i
\(497\) 0.185214 + 3.08763i 0.00830796 + 0.138499i
\(498\) −4.36687 5.21189i −0.195684 0.233550i
\(499\) 9.63442 + 16.6873i 0.431296 + 0.747026i 0.996985 0.0775923i \(-0.0247232\pi\)
−0.565689 + 0.824618i \(0.691390\pi\)
\(500\) −4.30152 7.45045i −0.192370 0.333194i
\(501\) −2.24674 12.7961i −0.100377 0.571687i
\(502\) 21.4793 12.4011i 0.958667 0.553487i
\(503\) 12.4057 21.4872i 0.553141 0.958069i −0.444904 0.895578i \(-0.646762\pi\)
0.998046 0.0624908i \(-0.0199044\pi\)
\(504\) 7.88385 + 0.919194i 0.351175 + 0.0409442i
\(505\) −13.6321 23.6115i −0.606620 1.05070i
\(506\) 21.8723 12.6280i 0.972344 0.561383i
\(507\) −9.39352 20.4637i −0.417181 0.908824i
\(508\) −2.29973 + 3.98324i −0.102034 + 0.176728i
\(509\) 5.05002 8.74690i 0.223838 0.387699i −0.732132 0.681163i \(-0.761475\pi\)
0.955970 + 0.293463i \(0.0948079\pi\)
\(510\) −16.5495 + 2.90575i −0.732822 + 0.128669i
\(511\) 2.04917 + 34.1610i 0.0906499 + 1.51119i
\(512\) 1.00000i 0.0441942i
\(513\) −32.5737 + 18.7122i −1.43817 + 0.826163i
\(514\) −24.6139 + 14.2108i −1.08567 + 0.626813i
\(515\) −10.0628 5.80975i −0.443419 0.256008i
\(516\) 0.231037 + 0.0842802i 0.0101708 + 0.00371023i
\(517\) 18.9951 10.9668i 0.835404 0.482321i
\(518\) −6.39976 3.20018i −0.281189 0.140608i
\(519\) 35.9052 + 13.0979i 1.57606 + 0.574934i
\(520\) −1.62663 12.6121i −0.0713326 0.553076i
\(521\) −7.92535 + 13.7271i −0.347216 + 0.601395i −0.985754 0.168195i \(-0.946206\pi\)
0.638538 + 0.769590i \(0.279540\pi\)
\(522\) 1.25446 + 1.05571i 0.0549061 + 0.0462074i
\(523\) 33.5587 + 19.3751i 1.46742 + 0.847215i 0.999335 0.0364696i \(-0.0116112\pi\)
0.468084 + 0.883684i \(0.344945\pi\)
\(524\) −2.02661 + 3.51018i −0.0885327 + 0.153343i
\(525\) −32.6686 9.74433i −1.42577 0.425278i
\(526\) 6.40456 11.0930i 0.279252 0.483679i
\(527\) 3.97345i 0.173086i
\(528\) 6.21237 + 7.41452i 0.270359 + 0.322676i
\(529\) −1.27438 2.20728i −0.0554076 0.0959688i
\(530\) −19.0111 + 32.9283i −0.825791 + 1.43031i
\(531\) −3.90179 + 21.9422i −0.169323 + 0.952210i
\(532\) −17.1079 8.55476i −0.741723 0.370896i
\(533\) −25.9657 + 3.34891i −1.12470 + 0.145057i
\(534\) −2.31025 + 0.405634i −0.0999743 + 0.0175535i
\(535\) 5.33175i 0.230511i
\(536\) 10.5200i 0.454393i
\(537\) −6.60543 + 18.1074i −0.285045 + 0.781394i
\(538\) 5.47053i 0.235851i
\(539\) 35.9497 + 15.3593i 1.54846 + 0.661574i
\(540\) −18.3264 0.0398309i −0.788644 0.00171405i
\(541\) 8.32547 + 14.4201i 0.357940 + 0.619970i 0.987617 0.156887i \(-0.0501459\pi\)
−0.629676 + 0.776857i \(0.716813\pi\)
\(542\) −2.25690 3.90906i −0.0969420 0.167908i
\(543\) −1.95037 + 5.34654i −0.0836984 + 0.229442i
\(544\) −2.38204 1.37527i −0.102129 0.0589644i
\(545\) 42.2627 1.81033
\(546\) −12.7933 10.4561i −0.547503 0.447482i
\(547\) −15.5709 −0.665762 −0.332881 0.942969i \(-0.608021\pi\)
−0.332881 + 0.942969i \(0.608021\pi\)
\(548\) 2.30652 + 1.33167i 0.0985298 + 0.0568862i
\(549\) 24.1364 28.6801i 1.03012 1.22404i
\(550\) −20.7732 35.9802i −0.885772 1.53420i
\(551\) −1.97556 3.42177i −0.0841618 0.145772i
\(552\) −6.00397 + 5.03052i −0.255546 + 0.214113i
\(553\) 10.6010 21.2000i 0.450799 0.901514i
\(554\) 2.76586i 0.117510i
\(555\) 15.5205 + 5.66175i 0.658810 + 0.240328i
\(556\) 14.5664i 0.617755i
\(557\) 28.0326i 1.18778i 0.804546 + 0.593890i \(0.202409\pi\)
−0.804546 + 0.593890i \(0.797591\pi\)
\(558\) −0.758741 + 4.26687i −0.0321201 + 0.180631i
\(559\) −0.310580 0.406971i −0.0131361 0.0172130i
\(560\) −5.14121 7.78734i −0.217256 0.329075i
\(561\) −26.2054 + 4.60115i −1.10639 + 0.194261i
\(562\) 2.28051 3.94996i 0.0961975 0.166619i
\(563\) 14.5119 + 25.1354i 0.611605 + 1.05933i 0.990970 + 0.134084i \(0.0428092\pi\)
−0.379365 + 0.925247i \(0.623858\pi\)
\(564\) −5.21417 + 4.36877i −0.219556 + 0.183958i
\(565\) 14.5746i 0.613156i
\(566\) −5.43127 + 9.40723i −0.228293 + 0.395415i
\(567\) −17.3390 + 16.3205i −0.728170 + 0.685396i
\(568\) 0.584557 1.01248i 0.0245274 0.0424828i
\(569\) 18.1164 + 10.4595i 0.759477 + 0.438484i 0.829108 0.559088i \(-0.188849\pi\)
−0.0696307 + 0.997573i \(0.522182\pi\)
\(570\) 41.4897 + 15.1351i 1.73781 + 0.633938i
\(571\) 13.7259 23.7740i 0.574412 0.994910i −0.421694 0.906738i \(-0.638564\pi\)
0.996105 0.0881718i \(-0.0281025\pi\)
\(572\) −2.57571 19.9707i −0.107696 0.835018i
\(573\) 1.34702 3.69259i 0.0562727 0.154260i
\(574\) −16.0326 + 10.5847i −0.669187 + 0.441797i
\(575\) 29.1353 16.8213i 1.21503 0.701495i
\(576\) −2.29534 1.93169i −0.0956390 0.0804871i
\(577\) 12.3366 + 7.12257i 0.513581 + 0.296516i 0.734305 0.678820i \(-0.237508\pi\)
−0.220723 + 0.975336i \(0.570842\pi\)
\(578\) −8.17051 + 4.71724i −0.339848 + 0.196212i
\(579\) 26.0554 + 9.50476i 1.08282 + 0.395004i
\(580\) 1.92755i 0.0800372i
\(581\) 5.72249 + 8.66781i 0.237409 + 0.359601i
\(582\) −3.84365 21.8912i −0.159324 0.907418i
\(583\) −30.1034 + 52.1407i −1.24676 + 2.15945i
\(584\) 6.46743 11.2019i 0.267624 0.463539i
\(585\) 32.0911 + 20.6289i 1.32680 + 0.852902i
\(586\) −3.94604 + 2.27824i −0.163009 + 0.0941134i
\(587\) 14.8030 + 25.6395i 0.610983 + 1.05825i 0.991075 + 0.133305i \(0.0425591\pi\)
−0.380092 + 0.924949i \(0.624108\pi\)
\(588\) −11.8052 2.76364i −0.486837 0.113971i
\(589\) 5.22192 9.04463i 0.215165 0.372677i
\(590\) 22.6906 13.1004i 0.934158 0.539336i
\(591\) 40.1067 7.04194i 1.64977 0.289667i
\(592\) 1.35222 + 2.34212i 0.0555760 + 0.0962604i
\(593\) −11.0829 19.1962i −0.455121 0.788292i 0.543574 0.839361i \(-0.317071\pi\)
−0.998695 + 0.0510687i \(0.983737\pi\)
\(594\) −29.0192 0.0630707i −1.19067 0.00258782i
\(595\) 25.6204 1.53685i 1.05033 0.0630048i
\(596\) −6.11590 + 3.53101i −0.250517 + 0.144636i
\(597\) 7.44764 1.30766i 0.304812 0.0535188i
\(598\) 16.1715 2.08570i 0.661300 0.0852908i
\(599\) −6.69141 3.86329i −0.273404 0.157850i 0.357030 0.934093i \(-0.383789\pi\)
−0.630433 + 0.776243i \(0.717123\pi\)
\(600\) 8.27526 + 9.87659i 0.337836 + 0.403210i
\(601\) −30.6255 + 17.6816i −1.24924 + 0.721249i −0.970958 0.239251i \(-0.923098\pi\)
−0.278282 + 0.960499i \(0.589765\pi\)
\(602\) −0.335997 0.168014i −0.0136942 0.00684775i
\(603\) −24.1468 20.3213i −0.983335 0.827547i
\(604\) −0.763705 −0.0310747
\(605\) −35.6036 61.6673i −1.44749 2.50713i
\(606\) 8.59901 + 10.2630i 0.349311 + 0.416906i
\(607\) 38.5504i 1.56471i −0.622832 0.782356i \(-0.714018\pi\)
0.622832 0.782356i \(-0.285982\pi\)
\(608\) 3.61478 + 6.26098i 0.146599 + 0.253916i
\(609\) −1.72053 1.81996i −0.0697192 0.0737484i
\(610\) −44.0688 −1.78429
\(611\) 14.0442 1.81134i 0.568166 0.0732788i
\(612\) 7.75809 2.81099i 0.313602 0.113628i
\(613\) −13.3805 −0.540435 −0.270218 0.962799i \(-0.587096\pi\)
−0.270218 + 0.962799i \(0.587096\pi\)
\(614\) 7.12507 12.3410i 0.287544 0.498042i
\(615\) 34.0006 28.4879i 1.37104 1.14874i
\(616\) −8.14091 12.3310i −0.328006 0.496829i
\(617\) 9.07671 + 5.24044i 0.365415 + 0.210972i 0.671453 0.741047i \(-0.265670\pi\)
−0.306039 + 0.952019i \(0.599004\pi\)
\(618\) 5.36071 + 1.95554i 0.215639 + 0.0786633i
\(619\) 3.18142 + 1.83679i 0.127872 + 0.0738269i 0.562571 0.826749i \(-0.309812\pi\)
−0.434700 + 0.900576i \(0.643145\pi\)
\(620\) 4.41241 2.54751i 0.177207 0.102310i
\(621\) 0.0510720 23.4985i 0.00204945 0.942964i
\(622\) 15.6199 9.01815i 0.626300 0.361595i
\(623\) 3.57652 0.214540i 0.143290 0.00859535i
\(624\) 1.85790 + 5.96223i 0.0743754 + 0.238680i
\(625\) 3.42694 + 5.93563i 0.137077 + 0.237425i
\(626\) −20.9175 −0.836031
\(627\) 65.6974 + 23.9658i 2.62370 + 0.957102i
\(628\) 16.0812i 0.641711i
\(629\) −7.43870 −0.296600
\(630\) 27.8058 + 3.24194i 1.10781 + 0.129162i
\(631\) −3.19085 + 5.52672i −0.127026 + 0.220015i −0.922523 0.385942i \(-0.873876\pi\)
0.795497 + 0.605957i \(0.207210\pi\)
\(632\) −7.75854 + 4.47939i −0.308618 + 0.178181i
\(633\) 1.78367 + 10.1587i 0.0708947 + 0.403774i
\(634\) 14.1142 0.560548
\(635\) −8.11098 + 14.0486i −0.321874 + 0.557503i
\(636\) 6.39907 17.5418i 0.253740 0.695576i
\(637\) 17.6003 + 18.0895i 0.697349 + 0.716731i
\(638\) 3.05221i 0.120838i
\(639\) 1.19480 + 3.29756i 0.0472657 + 0.130449i
\(640\) 3.52693i 0.139414i
\(641\) −12.0384 + 6.95037i −0.475488 + 0.274523i −0.718534 0.695492i \(-0.755187\pi\)
0.243046 + 0.970015i \(0.421853\pi\)
\(642\) −0.452809 2.57893i −0.0178710 0.101782i
\(643\) 15.1084 + 8.72286i 0.595818 + 0.343996i 0.767395 0.641175i \(-0.221553\pi\)
−0.171576 + 0.985171i \(0.554886\pi\)
\(644\) 9.98509 6.59216i 0.393468 0.259768i
\(645\) 0.814851 + 0.297250i 0.0320847 + 0.0117042i
\(646\) −19.8852 −0.782374
\(647\) −35.2949 −1.38758 −0.693792 0.720175i \(-0.744061\pi\)
−0.693792 + 0.720175i \(0.744061\pi\)
\(648\) 8.86776 1.53714i 0.348359 0.0603847i
\(649\) 35.9297 20.7440i 1.41037 0.814275i
\(650\) −3.43101 26.6022i −0.134575 1.04343i
\(651\) 1.89222 6.34381i 0.0741620 0.248634i
\(652\) 3.59628 + 6.22894i 0.140841 + 0.243944i
\(653\) 31.1330 + 17.9747i 1.21833 + 0.703402i 0.964560 0.263863i \(-0.0849965\pi\)
0.253768 + 0.967265i \(0.418330\pi\)
\(654\) −20.4422 + 3.58924i −0.799353 + 0.140350i
\(655\) −7.14770 + 12.3802i −0.279284 + 0.483733i
\(656\) 7.26124 0.283504
\(657\) 13.2191 + 36.4836i 0.515726 + 1.42336i
\(658\) 8.67159 5.72499i 0.338054 0.223183i
\(659\) −8.28033 4.78065i −0.322556 0.186228i 0.329975 0.943990i \(-0.392960\pi\)
−0.652531 + 0.757762i \(0.726293\pi\)
\(660\) 21.9106 + 26.1505i 0.852869 + 1.01791i
\(661\) 19.2554i 0.748948i 0.927237 + 0.374474i \(0.122177\pi\)
−0.927237 + 0.374474i \(0.877823\pi\)
\(662\) −2.02005 1.16628i −0.0785114 0.0453286i
\(663\) −16.7574 3.77411i −0.650804 0.146574i
\(664\) 3.92570i 0.152347i
\(665\) −60.3385 30.1721i −2.33983 1.17002i
\(666\) −7.98802 1.42044i −0.309529 0.0550410i
\(667\) 2.47155 0.0956987
\(668\) 3.75042 6.49592i 0.145108 0.251335i
\(669\) −15.3740 + 2.69937i −0.594395 + 0.104364i
\(670\) 37.1031i 1.43342i
\(671\) −69.7813 −2.69388
\(672\) 3.14812 + 3.33006i 0.121442 + 0.128460i
\(673\) −10.1725 17.6192i −0.392120 0.679172i 0.600609 0.799543i \(-0.294925\pi\)
−0.992729 + 0.120371i \(0.961592\pi\)
\(674\) −29.2083 16.8634i −1.12506 0.649555i
\(675\) −38.6554 0.0840140i −1.48785 0.00323370i
\(676\) 3.43074 12.5391i 0.131951 0.482275i
\(677\) 0.353311 + 0.611953i 0.0135788 + 0.0235193i 0.872735 0.488194i \(-0.162344\pi\)
−0.859156 + 0.511714i \(0.829011\pi\)
\(678\) 1.23777 + 7.04962i 0.0475364 + 0.270739i
\(679\) 2.03291 + 33.8899i 0.0780158 + 1.30058i
\(680\) −8.40131 4.85050i −0.322175 0.186008i
\(681\) −7.55018 43.0013i −0.289324 1.64782i
\(682\) 6.98689 4.03388i 0.267542 0.154465i
\(683\) −27.7948 + 16.0474i −1.06354 + 0.614035i −0.926409 0.376518i \(-0.877121\pi\)
−0.137131 + 0.990553i \(0.543788\pi\)
\(684\) −21.3537 3.79714i −0.816479 0.145187i
\(685\) 8.13495 + 4.69671i 0.310820 + 0.179452i
\(686\) 17.4361 + 6.24357i 0.665714 + 0.238381i
\(687\) −12.1810 + 2.13875i −0.464736 + 0.0815983i
\(688\) 0.0709937 + 0.122965i 0.00270661 + 0.00468798i
\(689\) −30.8997 + 23.5812i −1.17719 + 0.898371i
\(690\) −21.1756 + 17.7423i −0.806141 + 0.675438i
\(691\) 33.8912 + 19.5671i 1.28928 + 0.744366i 0.978526 0.206124i \(-0.0660850\pi\)
0.310754 + 0.950490i \(0.399418\pi\)
\(692\) 11.0331 + 19.1098i 0.419414 + 0.726446i
\(693\) 44.0294 + 5.13348i 1.67254 + 0.195005i
\(694\) −2.95977 −0.112351
\(695\) 51.3749i 1.94876i
\(696\) 0.163701 + 0.932345i 0.00620508 + 0.0353404i
\(697\) −9.98620 + 17.2966i −0.378254 + 0.655155i
\(698\) −8.99213 −0.340357
\(699\) −36.9348 + 6.48502i −1.39700 + 0.245286i
\(700\) −10.8442 16.4256i −0.409872 0.620829i
\(701\) 17.9693i 0.678690i −0.940662 0.339345i \(-0.889795\pi\)
0.940662 0.339345i \(-0.110205\pi\)
\(702\) −17.2742 7.25269i −0.651973 0.273735i
\(703\) 16.9325 + 9.77596i 0.638620 + 0.368707i
\(704\) 5.58476i 0.210484i
\(705\) −18.3900 + 15.4084i −0.692608 + 0.580312i
\(706\) 13.5379 + 7.81614i 0.509507 + 0.294164i
\(707\) −11.2684 17.0682i −0.423793 0.641916i
\(708\) −9.86273 + 8.26364i −0.370664 + 0.310567i
\(709\) −14.1082 −0.529843 −0.264921 0.964270i \(-0.585346\pi\)
−0.264921 + 0.964270i \(0.585346\pi\)
\(710\) 2.06169 3.57095i 0.0773739 0.134015i
\(711\) 4.70538 26.4613i 0.176465 0.992375i
\(712\) −1.17279 0.677113i −0.0439523 0.0253759i
\(713\) 3.26647 + 5.65769i 0.122330 + 0.211882i
\(714\) −12.2619 + 2.91923i −0.458890 + 0.109249i
\(715\) −9.08436 70.4354i −0.339736 2.63413i
\(716\) −9.63731 + 5.56410i −0.360163 + 0.207940i
\(717\) −13.8272 + 37.9046i −0.516388 + 1.41557i
\(718\) 8.29071 0.309406
\(719\) −6.22271 −0.232068 −0.116034 0.993245i \(-0.537018\pi\)
−0.116034 + 0.993245i \(0.537018\pi\)
\(720\) −8.09550 6.81294i −0.301701 0.253903i
\(721\) −7.79608 3.89840i −0.290341 0.145184i
\(722\) 28.8096 + 16.6332i 1.07218 + 0.619025i
\(723\) 1.59659 0.280329i 0.0593778 0.0104256i
\(724\) −2.84559 + 1.64290i −0.105755 + 0.0610579i
\(725\) 4.06572i 0.150997i
\(726\) 22.4585 + 26.8044i 0.833511 + 0.994803i
\(727\) 28.3604i 1.05183i 0.850537 + 0.525915i \(0.176277\pi\)
−0.850537 + 0.525915i \(0.823723\pi\)
\(728\) −1.78455 9.37099i −0.0661397 0.347312i
\(729\) −13.6015 + 23.3238i −0.503760 + 0.863844i
\(730\) 22.8102 39.5084i 0.844243 1.46227i
\(731\) −0.390543 −0.0144447
\(732\) 21.3158 3.74263i 0.787855 0.138332i
\(733\) −21.0117 + 12.1311i −0.776086 + 0.448073i −0.835041 0.550187i \(-0.814556\pi\)
0.0589554 + 0.998261i \(0.481223\pi\)
\(734\) −13.7155 + 23.7559i −0.506248 + 0.876847i
\(735\) −41.6361 9.74717i −1.53577 0.359530i
\(736\) −4.52231 −0.166694
\(737\) 58.7514i 2.16414i
\(738\) −14.0265 + 16.6670i −0.516322 + 0.613521i
\(739\) −10.9315 −0.402120 −0.201060 0.979579i \(-0.564439\pi\)
−0.201060 + 0.979579i \(0.564439\pi\)
\(740\) 4.76919 + 8.26048i 0.175319 + 0.303661i
\(741\) 33.1844 + 30.6135i 1.21906 + 1.12462i
\(742\) −12.7567 + 25.5110i −0.468312 + 0.936537i
\(743\) 32.1661 18.5711i 1.18006 0.681307i 0.224031 0.974582i \(-0.428078\pi\)
0.956028 + 0.293275i \(0.0947451\pi\)
\(744\) −1.91790 + 1.60695i −0.0703138 + 0.0589135i
\(745\) −21.5703 + 12.4536i −0.790276 + 0.456266i
\(746\) −28.7117 16.5767i −1.05121 0.606916i
\(747\) 9.01080 + 7.58324i 0.329688 + 0.277456i
\(748\) −13.3031 7.68058i −0.486411 0.280830i
\(749\) 0.239491 + 3.99247i 0.00875080 + 0.145882i
\(750\) 9.56985 + 11.4217i 0.349441 + 0.417061i
\(751\) 4.68281 8.11087i 0.170878 0.295970i −0.767849 0.640631i \(-0.778673\pi\)
0.938727 + 0.344661i \(0.112006\pi\)
\(752\) −3.92741 −0.143218
\(753\) −32.9282 + 27.5894i −1.19997 + 1.00541i
\(754\) 0.758877 1.81853i 0.0276367 0.0662270i
\(755\) −2.69354 −0.0980278
\(756\) −13.7248 + 0.793358i −0.499167 + 0.0288542i
\(757\) 19.2229 + 33.2950i 0.698667 + 1.21013i 0.968929 + 0.247340i \(0.0795564\pi\)
−0.270262 + 0.962787i \(0.587110\pi\)
\(758\) 17.3129i 0.628831i
\(759\) −33.5307 + 28.0943i −1.21709 + 1.01976i
\(760\) 12.7491 + 22.0820i 0.462457 + 0.801000i
\(761\) 32.4386 1.17590 0.587950 0.808898i \(-0.299935\pi\)
0.587950 + 0.808898i \(0.299935\pi\)
\(762\) 2.73012 7.48407i 0.0989019 0.271119i
\(763\) 31.6467 1.89835i 1.14569 0.0687249i
\(764\) 1.96531 1.13467i 0.0711022 0.0410509i
\(765\) 27.3622 9.91417i 0.989284 0.358447i
\(766\) 10.3789 + 5.99225i 0.375004 + 0.216509i
\(767\) 26.5649 3.42619i 0.959202 0.123713i
\(768\) −0.299532 1.70595i −0.0108084 0.0615583i
\(769\) −24.3005 + 14.0299i −0.876299 + 0.505931i −0.869436 0.494045i \(-0.835518\pi\)
−0.00686245 + 0.999976i \(0.502184\pi\)
\(770\) −28.7124 43.4905i −1.03472 1.56729i
\(771\) 37.7336 31.6157i 1.35894 1.13861i
\(772\) 8.00636 + 13.8674i 0.288155 + 0.499100i
\(773\) −4.92641 8.53280i −0.177191 0.306903i 0.763726 0.645540i \(-0.223368\pi\)
−0.940917 + 0.338637i \(0.890034\pi\)
\(774\) −0.419383 0.0745753i −0.0150744 0.00268055i
\(775\) 9.30696 5.37338i 0.334316 0.193017i
\(776\) 6.41610 &minu