Properties

Label 546.2.u.a.425.17
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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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 425.17
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.17

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9} + 2 q^{13} + 12 q^{15} - 38 q^{16} - 8 q^{21} - 42 q^{25} + 20 q^{28} + 20 q^{30} + 12 q^{31} - 4 q^{36} - 6 q^{37} + 12 q^{39} + 8 q^{42} - 2 q^{43} - 4 q^{46} + 2 q^{49} + 10 q^{51} - 14 q^{52} + 18 q^{54} + 24 q^{55} + 8 q^{57} + 16 q^{58} - 12 q^{60} + 32 q^{63} - 76 q^{64} - 24 q^{66} + 96 q^{67} - 30 q^{69} - 54 q^{73} - 12 q^{75} + 18 q^{76} - 12 q^{78} - 60 q^{79} + 8 q^{81} + 8 q^{84} + 8 q^{85} - 24 q^{87} + 48 q^{91} + 16 q^{93} - 66 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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 −0.138151 0.990411i \(-0.544116\pi\)
0.926797 0.375563i \(-0.122551\pi\)
\(6\) −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 \(0.318583\pi\)
−0.539580 + 0.841935i \(0.681417\pi\)
\(12\) 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 −0.983206 0.182500i \(-0.941581\pi\)
0.649653 + 0.760231i \(0.274914\pi\)
\(18\) −1.02197 + 2.82056i −0.240882 + 0.664813i
\(19\) 7.22955i 1.65857i −0.558823 0.829287i \(-0.688747\pi\)
0.558823 0.829287i \(-0.311253\pi\)
\(20\) −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 −0.849254 0.527985i \(-0.822948\pi\)
0.0326214 + 0.999468i \(0.489614\pi\)
\(24\) 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 0.455411 0.890281i \(-0.349492\pi\)
−0.543301 + 0.839538i \(0.682826\pi\)
\(30\) 2.09350 + 5.73890i 0.382219 + 1.04778i
\(31\) −1.25106 + 0.722302i −0.224698 + 0.129729i −0.608124 0.793842i \(-0.708077\pi\)
0.383426 + 0.923572i \(0.374744\pi\)
\(32\) 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 0.955507 0.294968i \(-0.0953090\pi\)
−0.733203 + 0.680010i \(0.761976\pi\)
\(38\) 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 0.429852 + 0.902899i \(0.358566\pi\)
−0.996860 + 0.0791869i \(0.974768\pi\)
\(42\) 1.30986 + 4.39139i 0.202115 + 0.677606i
\(43\) 0.0709937 + 0.122965i 0.0108264 + 0.0187519i 0.871388 0.490595i \(-0.163220\pi\)
−0.860561 + 0.509347i \(0.829887\pi\)
\(44\) 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 −0.686520 0.727110i \(-0.740863\pi\)
0.972956 + 0.230989i \(0.0741961\pi\)
\(48\) −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 −0.977292 0.211896i \(-0.932036\pi\)
−0.305139 + 0.952308i \(0.598703\pi\)
\(54\) 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 −0.516248 0.856439i \(-0.672672\pi\)
0.999822 + 0.0188647i \(0.00600517\pi\)
\(60\) −4.68247 3.92329i −0.604505 0.506494i
\(61\) 12.4949i 1.59981i 0.600124 + 0.799907i \(0.295118\pi\)
−0.600124 + 0.799907i \(0.704882\pi\)
\(62\) 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 −0.438716 0.898626i \(-0.644566\pi\)
0.558875 + 0.829252i \(0.311233\pi\)
\(72\) 1.93169 + 2.29534i 0.227652 + 0.270508i
\(73\) 11.2019 6.46743i 1.31109 0.756956i 0.328810 0.944396i \(-0.393353\pi\)
0.982276 + 0.187441i \(0.0600192\pi\)
\(74\) −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 0.496018 + 0.868312i \(0.334795\pi\)
−0.999989 + 0.00459152i \(0.998538\pi\)
\(80\) −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 0.899679 0.436552i \(-0.143801\pi\)
−0.827905 + 0.560868i \(0.810467\pi\)
\(90\) 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 0.184835 0.982770i \(-0.440825\pi\)
0.943521 + 0.331313i \(0.107492\pi\)
\(98\) 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 0.352807 0.935696i \(-0.385227\pi\)
−0.633933 + 0.773388i \(0.718561\pi\)
\(104\) −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 −0.435381 0.900246i \(-0.643386\pi\)
0.561945 + 0.827174i \(0.310053\pi\)
\(108\) −2.60785 4.49434i −0.250941 0.432468i
\(109\) 5.99142 + 10.3775i 0.573874 + 0.993979i 0.996163 + 0.0875181i \(0.0278935\pi\)
−0.422289 + 0.906461i \(0.638773\pi\)
\(110\) −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 −0.658793 0.752324i \(-0.728933\pi\)
0.322135 + 0.946694i \(0.395600\pi\)
\(114\) 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 −0.745768 0.666206i \(-0.767917\pi\)
0.949835 + 0.312751i \(0.101250\pi\)
\(128\) 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 −0.763809 0.645443i \(-0.776673\pi\)
0.940874 + 0.338756i \(0.110006\pi\)
\(132\) 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 0.595283 0.803516i \(-0.297040\pi\)
−0.398224 + 0.917288i \(0.630373\pi\)
\(138\) 1.35457 7.71485i 0.115309 0.656731i
\(139\) −12.6149 + 7.28322i −1.06998 + 0.617755i −0.928177 0.372139i \(-0.878624\pi\)
−0.141806 + 0.989894i \(0.545291\pi\)
\(140\) −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 \(-0.906587\pi\)
0.957247 0.289272i \(-0.0934132\pi\)
\(150\) 12.6910 + 2.22829i 1.03622 + 0.181939i
\(151\) −0.381853 0.661388i −0.0310747 0.0538230i 0.850070 0.526670i \(-0.176560\pi\)
−0.881145 + 0.472847i \(0.843226\pi\)
\(152\) 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 −0.939211 0.343340i \(-0.888442\pi\)
−0.172265 + 0.985051i \(0.555108\pi\)
\(158\) 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 −0.973861 0.227146i \(-0.927061\pi\)
0.683644 + 0.729815i \(0.260394\pi\)
\(168\) 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 \(-0.863473\pi\)
0.909419 0.415881i \(-0.136527\pi\)
\(180\) −9.94793 3.60443i −0.741475 0.268659i
\(181\) 3.28580i 0.244232i −0.992516 0.122116i \(-0.961032\pi\)
0.992516 0.122116i \(-0.0389680\pi\)
\(182\) −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 \(0.0261633\pi\)
−0.996624 + 0.0821018i \(0.973837\pi\)
\(192\) −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 0.998515 0.0544726i \(-0.0173478\pi\)
0.452083 + 0.891976i \(0.350681\pi\)
\(198\) −15.7522 5.70749i −1.11946 0.405613i
\(199\) 3.78078 + 2.18284i 0.268013 + 0.154737i 0.627984 0.778226i \(-0.283880\pi\)
−0.359972 + 0.932963i \(0.617214\pi\)
\(200\) 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 −0.745150 0.666897i \(-0.767622\pi\)
0.950125 + 0.311870i \(0.100955\pi\)
\(212\) 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 0.215377 0.976531i \(-0.430902\pi\)
−0.738012 + 0.674787i \(0.764235\pi\)
\(224\) 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 0.0562831 + 0.998415i \(0.482075\pi\)
−0.892794 + 0.450465i \(0.851258\pi\)
\(228\) −12.3333 2.16548i −0.816792 0.143412i
\(229\) −6.18369 3.57015i −0.408630 0.235922i 0.281571 0.959540i \(-0.409144\pi\)
−0.690201 + 0.723618i \(0.742478\pi\)
\(230\) −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 −0.261664 0.965159i \(-0.584271\pi\)
−0.966684 + 0.255972i \(0.917605\pi\)
\(234\) −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 \(-0.728408\pi\)
0.657552 0.753409i \(-0.271592\pi\)
\(240\) −5.73890 + 2.09350i −0.370445 + 0.135135i
\(241\) 0.810506 + 0.467946i 0.0522093 + 0.0301431i 0.525877 0.850560i \(-0.323737\pi\)
−0.473668 + 0.880703i \(0.657070\pi\)
\(242\) 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 −0.930335 0.366711i \(-0.880484\pi\)
0.147587 0.989049i \(-0.452849\pi\)
\(252\) −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 0.844045 + 0.536272i \(0.180168\pi\)
0.0424030 + 0.999101i \(0.486499\pi\)
\(258\) −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 \(-0.870772\pi\)
0.918715 0.394922i \(-0.129228\pi\)
\(264\) −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 −0.937283 0.348569i \(-0.886668\pi\)
0.770511 + 0.637427i \(0.220001\pi\)
\(270\) 15.8911 + 9.12872i 0.967100 + 0.555556i
\(271\) 3.90906 2.25690i 0.237458 0.137097i −0.376550 0.926396i \(-0.622890\pi\)
0.614008 + 0.789300i \(0.289556\pi\)
\(272\) 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 −0.821484 0.570231i \(-0.806854\pi\)
0.904577 + 0.426311i \(0.140187\pi\)
\(278\) 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 \(-0.956561\pi\)
0.990703 0.136044i \(-0.0434388\pi\)
\(282\) 2.33121 + 6.39055i 0.138822 + 0.380552i
\(283\) 10.8625i 0.645711i 0.946448 + 0.322855i \(0.104643\pi\)
−0.946448 + 0.322855i \(0.895357\pi\)
\(284\) 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 0.924869 0.380287i \(-0.124175\pi\)
−0.791772 + 0.610816i \(0.790841\pi\)
\(294\) 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 \(-0.866697\pi\)
0.913584 0.406649i \(-0.133303\pi\)
\(308\) 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 −0.999913 0.0131816i \(-0.995804\pi\)
0.488541 0.872541i \(-0.337529\pi\)
\(312\) −4.59010 + 4.23450i −0.259863 + 0.239731i
\(313\) 18.1151 + 10.4587i 1.02392 + 0.591163i 0.915238 0.402913i \(-0.132002\pi\)
0.108686 + 0.994076i \(0.465336\pi\)
\(314\) 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 0.115782 0.993275i \(-0.463063\pi\)
−0.802310 + 0.596908i \(0.796396\pi\)
\(318\) 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 0.567220 0.823566i \(-0.308019\pi\)
−0.429619 + 0.903010i \(0.641352\pi\)
\(348\) −0.607942 + 0.725584i −0.0325891 + 0.0388954i
\(349\) 7.78741 + 4.49606i 0.416851 + 0.240669i 0.693729 0.720236i \(-0.255967\pi\)
−0.276878 + 0.960905i \(0.589300\pi\)
\(350\) 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 0.298415 0.954436i \(-0.403542\pi\)
−0.677359 + 0.735653i \(0.736875\pi\)
\(360\) 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 \(0.254003\pi\)
−0.698159 + 0.715943i \(0.745997\pi\)
\(368\) 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 −0.553377 0.832931i \(-0.686661\pi\)
0.998028 + 0.0627730i \(0.0199944\pi\)
\(380\) −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 −0.659236 0.751936i \(-0.729120\pi\)
0.321578 + 0.946883i \(0.395787\pi\)
\(390\) −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 \(-0.983906\pi\)
0.998722 0.0505407i \(-0.0160945\pi\)
\(398\) −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 −0.977173 0.212447i \(-0.931857\pi\)
−0.304602 + 0.952480i \(0.598523\pi\)
\(402\) 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 −0.0715323 0.997438i \(-0.522789\pi\)
−0.899573 + 0.436770i \(0.856122\pi\)
\(410\) −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 −0.911083 0.412223i \(-0.864753\pi\)
0.812537 + 0.582910i \(0.198086\pi\)
\(420\) −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 \(-0.853836\pi\)
0.896413 0.443220i \(-0.146164\pi\)
\(432\) −5.19614 + 0.0112934i −0.249999 + 0.000543352i
\(433\) −1.86816 + 1.07858i −0.0897781 + 0.0518334i −0.544217 0.838945i \(-0.683173\pi\)
0.454439 + 0.890778i \(0.349840\pi\)
\(434\) −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 −0.999865 0.0164188i \(-0.994773\pi\)
−0.485713 + 0.874118i \(0.661440\pi\)
\(440\) −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 0.186003 0.982549i \(-0.440447\pi\)
−0.757911 + 0.652358i \(0.773780\pi\)
\(444\) 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 −0.325333 0.945599i \(-0.605477\pi\)
0.656246 + 0.754547i \(0.272143\pi\)
\(450\) 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 0.986340 0.164723i \(-0.0526730\pi\)
−0.635824 + 0.771834i \(0.719340\pi\)
\(458\) 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 −0.837882 0.545851i \(-0.816206\pi\)
−0.0537801 0.998553i \(-0.517127\pi\)
\(462\) −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 0.0849307 0.996387i \(-0.472933\pi\)
0.820431 0.571746i \(-0.193734\pi\)
\(468\) 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 −0.985757 0.168173i \(-0.946213\pi\)
0.638521 + 0.769604i \(0.279547\pi\)
\(488\) −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 0.776073 0.630643i \(-0.217209\pi\)
−0.158116 + 0.987420i \(0.550542\pi\)
\(492\) 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 −0.565689 0.824618i \(-0.691390\pi\)
0.996985 + 0.0775923i \(0.0247232\pi\)
\(500\) −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 0.998046 + 0.0624908i \(0.0199044\pi\)
−0.444904 + 0.895578i \(0.646762\pi\)
\(504\) 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 0.955970 0.293463i \(-0.0948079\pi\)
−0.732132 + 0.681163i \(0.761475\pi\)
\(510\) −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 0.638538 0.769590i \(-0.279540\pi\)
−0.985754 + 0.168195i \(0.946206\pi\)
\(522\) 1.25446 1.05571i 0.0549061 0.0462074i
\(523\) 33.5587 19.3751i 1.46742 0.847215i 0.468084 0.883684i \(-0.344945\pi\)
0.999335 + 0.0364696i \(0.0116112\pi\)
\(524\) −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 −0.629676 0.776857i \(-0.716813\pi\)
0.987617 + 0.156887i \(0.0501459\pi\)
\(542\) −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 \(-0.797591\pi\)
0.804546 0.593890i \(-0.202409\pi\)
\(558\) −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 −0.379365 0.925247i \(-0.623858\pi\)
0.990970 0.134084i \(-0.0428092\pi\)
\(564\) −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 −0.0696307 0.997573i \(-0.522182\pi\)
0.829108 + 0.559088i \(0.188849\pi\)
\(570\) 41.4897 15.1351i 1.73781 0.633938i
\(571\) 13.7259 + 23.7740i 0.574412 + 0.994910i 0.996105 + 0.0881718i \(0.0281025\pi\)
−0.421694 + 0.906738i \(0.638564\pi\)
\(572\) −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 −0.220723 0.975336i \(-0.570842\pi\)
0.734305 + 0.678820i \(0.237508\pi\)
\(578\) −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 −0.380092 0.924949i \(-0.624108\pi\)
0.991075 0.133305i \(-0.0425591\pi\)
\(588\) −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 −0.998695 0.0510687i \(-0.983737\pi\)
0.543574 + 0.839361i \(0.317071\pi\)
\(594\) −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 −0.630433 0.776243i \(-0.717123\pi\)
0.357030 + 0.934093i \(0.383789\pi\)
\(600\) 8.27526 9.87659i 0.337836 0.403210i
\(601\) −30.6255 17.6816i −1.24924 0.721249i −0.278282 0.960499i \(-0.589765\pi\)
−0.970958 + 0.239251i \(0.923098\pi\)
\(602\) −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 \(0.285982\pi\)
−0.622832 + 0.782356i \(0.714018\pi\)
\(608\) 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 −0.306039 0.952019i \(-0.599004\pi\)
0.671453 + 0.741047i \(0.265670\pi\)
\(618\) 5.36071 1.95554i 0.215639 0.0786633i
\(619\) 3.18142 1.83679i 0.127872 0.0738269i −0.434700 0.900576i \(-0.643145\pi\)
0.562571 + 0.826749i \(0.309812\pi\)
\(620\) 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 0.795497 0.605957i \(-0.207210\pi\)
−0.922523 + 0.385942i \(0.873876\pi\)
\(632\) −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 0.243046 0.970015i \(-0.421853\pi\)
−0.718534 + 0.695492i \(0.755187\pi\)
\(642\) −0.452809 + 2.57893i −0.0178710 + 0.101782i
\(643\) 15.1084 8.72286i 0.595818 0.343996i −0.171576 0.985171i \(-0.554886\pi\)
0.767395 + 0.641175i \(0.221553\pi\)
\(644\) 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 0.253768 0.967265i \(-0.418330\pi\)
0.964560 + 0.263863i \(0.0849965\pi\)
\(654\) −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 −0.652531 0.757762i \(-0.726293\pi\)
0.329975 + 0.943990i \(0.392960\pi\)
\(660\) 21.9106 26.1505i 0.852869 1.01791i
\(661\) 19.2554i 0.748948i −0.927237 0.374474i \(-0.877823\pi\)
0.927237 0.374474i \(-0.122177\pi\)
\(662\) −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 −0.992729 0.120371i \(-0.961592\pi\)
0.600609 + 0.799543i \(0.294925\pi\)
\(674\) −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 −0.859156 0.511714i \(-0.829011\pi\)
0.872735 + 0.488194i \(0.162344\pi\)
\(678\) 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 −0.137131 0.990553i \(-0.543788\pi\)
−0.926409 + 0.376518i \(0.877121\pi\)
\(684\) −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 0.310754 0.950490i \(-0.399418\pi\)
0.978526 + 0.206124i \(0.0660850\pi\)
\(692\) 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 \(0.110205\pi\)
−0.940662 + 0.339345i \(0.889795\pi\)
\(702\) −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 \(-0.823723\pi\)
0.850537 0.525915i \(-0.176277\pi\)
\(728\) −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 0.0589554 0.998261i \(-0.481223\pi\)
−0.835041 + 0.550187i \(0.814556\pi\)
\(734\) −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 0.956028 0.293275i \(-0.0947451\pi\)
0.224031 + 0.974582i \(0.428078\pi\)
\(744\) −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 0.938727 0.344661i \(-0.112006\pi\)
−0.767849 + 0.640631i \(0.778673\pi\)
\(752\) −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 −0.270262 0.962787i \(-0.587110\pi\)
0.968929 0.247340i \(-0.0795564\pi\)
\(758\) 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 −0.00686245 0.999976i \(-0.502184\pi\)
−0.869436 + 0.494045i \(0.835518\pi\)
\(770\) −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 −0.940917 0.338637i \(-0.890034\pi\)
0.763726 + 0.645540i \(0.223368\pi\)
\(774\) −0.419383 + 0.0745753i −0.0150744